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    <path fill-rule="evenodd" d="M1 2.75A.75.75 0 011.75 2h12.5a.75.75 0 110 1.5H1.75A.75.75 0 011 2.75zm0 5A.75.75 0 011.75 7h12.5a.75.75 0 110 1.5H1.75A.75.75 0 011 7.75zM1.75 12a.75.75 0 100 1.5h12.5a.75.75 0 100-1.5H1.75z"></path>
</svg>
      </button>
    </div>

    <div class="Header-item Header-item--full flex-column flex-md-row width-full flex-order-2 flex-md-order-none mr-0 mr-md-3 mt-3 mt-md-0 Details-content--hidden-not-important d-md-flex">
          


  <div class="header-search flex-auto js-site-search position-relative flex-self-stretch flex-md-self-auto mb-3 mb-md-0 mr-0 mr-md-3 scoped-search site-scoped-search js-jump-to"
  >
    <div class="position-relative">
      <!-- '"` --><!-- </textarea></xmp> --></option></form><form class="js-site-search-form" role="search" aria-label="Site" data-scope-type="Repository" data-scope-id="341304644" data-scoped-search-url="/eae-mendoza/PyRMLE/search" data-owner-scoped-search-url="/users/eae-mendoza/search" data-unscoped-search-url="/search" action="/eae-mendoza/PyRMLE/search" accept-charset="UTF-8" method="get">
        <label class="form-control input-sm header-search-wrapper p-0 js-chromeless-input-container header-search-wrapper-jump-to position-relative d-flex flex-justify-between flex-items-center">
          <input type="text"
            class="form-control input-sm header-search-input jump-to-field js-jump-to-field js-site-search-focus js-site-search-field is-clearable"
            data-hotkey=s,/
            name="q"
            data-test-selector="nav-search-input"
            placeholder="Search or jump to…"
            data-unscoped-placeholder="Search or jump to…"
            data-scoped-placeholder="Search or jump to…"
            autocapitalize="off"
            role="combobox"
            aria-haspopup="listbox"
            aria-expanded="false"
            aria-autocomplete="list"
            aria-controls="jump-to-results"
            aria-label="Search or jump to…"
            data-jump-to-suggestions-path="/_graphql/GetSuggestedNavigationDestinations"
            spellcheck="false"
            autocomplete="off"
          >
          <input type="hidden" value="RpwyvYQFZ45vHSJrMFB6bq4pVjPEQIFHLVc6oz5bdl6NxvRwXBKhehjKmTVu/jROl8SnFnas/wuuqrt44Iszxw==" data-csrf="true" class="js-data-jump-to-suggestions-path-csrf" />
          <input type="hidden" class="js-site-search-type-field" name="type" >
              <svg xmlns="http://www.w3.org/2000/svg" width="22" height="20" class="mr-1 header-search-key-slash"><path fill="none" stroke="#979A9C" opacity=".4" d="M3.5.5h12c1.7 0 3 1.3 3 3v13c0 1.7-1.3 3-3 3h-12c-1.7 0-3-1.3-3-3v-13c0-1.7 1.3-3 3-3z"></path><path fill="#979A9C" d="M11.8 6L8 15.1h-.9L10.8 6h1z"></path></svg>


            <div class="Box position-absolute overflow-hidden d-none jump-to-suggestions js-jump-to-suggestions-container">
              
<ul class="d-none js-jump-to-suggestions-template-container">
  

<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-suggestion" role="option">
  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="" data-item-type="suggestion">
    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M2 2.5A2.5 2.5 0 014.5 0h8.75a.75.75 0 01.75.75v12.5a.75.75 0 01-.75.75h-2.5a.75.75 0 110-1.5h1.75v-2h-8a1 1 0 00-.714 1.7.75.75 0 01-1.072 1.05A2.495 2.495 0 012 11.5v-9zm10.5-1V9h-8c-.356 0-.694.074-1 .208V2.5a1 1 0 011-1h8zM5 12.25v3.25a.25.25 0 00.4.2l1.45-1.087a.25.25 0 01.3 0L8.6 15.7a.25.25 0 00.4-.2v-3.25a.25.25 0 00-.25-.25h-3.5a.25.25 0 00-.25.25z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M1.75 0A1.75 1.75 0 000 1.75v12.5C0 15.216.784 16 1.75 16h12.5A1.75 1.75 0 0016 14.25V1.75A1.75 1.75 0 0014.25 0H1.75zM1.5 1.75a.25.25 0 01.25-.25h12.5a.25.25 0 01.25.25v12.5a.25.25 0 01-.25.25H1.75a.25.25 0 01-.25-.25V1.75zM11.75 3a.75.75 0 00-.75.75v7.5a.75.75 0 001.5 0v-7.5a.75.75 0 00-.75-.75zm-8.25.75a.75.75 0 011.5 0v5.5a.75.75 0 01-1.5 0v-5.5zM8 3a.75.75 0 00-.75.75v3.5a.75.75 0 001.5 0v-3.5A.75.75 0 008 3z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M11.5 7a4.499 4.499 0 11-8.998 0A4.499 4.499 0 0111.5 7zm-.82 4.74a6 6 0 111.06-1.06l3.04 3.04a.75.75 0 11-1.06 1.06l-3.04-3.04z"></path></svg>
    </div>

    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">

    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
    </div>

    <div class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none js-jump-to-badge-search">
      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this repository">
        In this repository
      </span>
      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
        All GitHub
      </span>
      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
    </div>

    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
      Jump to
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    </div>
  </a>
</li>

</ul>

<ul class="d-none js-jump-to-no-results-template-container">
  <li class="d-flex flex-justify-center flex-items-center f5 d-none js-jump-to-suggestion p-2">
    <span class="color-text-secondary">No suggested jump to results</span>
  </li>
</ul>

<ul id="jump-to-results" role="listbox" class="p-0 m-0 js-navigation-container jump-to-suggestions-results-container js-jump-to-suggestions-results-container">
  

<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-scoped-search d-none" role="option">
  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="" data-item-type="scoped_search">
    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M2 2.5A2.5 2.5 0 014.5 0h8.75a.75.75 0 01.75.75v12.5a.75.75 0 01-.75.75h-2.5a.75.75 0 110-1.5h1.75v-2h-8a1 1 0 00-.714 1.7.75.75 0 01-1.072 1.05A2.495 2.495 0 012 11.5v-9zm10.5-1V9h-8c-.356 0-.694.074-1 .208V2.5a1 1 0 011-1h8zM5 12.25v3.25a.25.25 0 00.4.2l1.45-1.087a.25.25 0 01.3 0L8.6 15.7a.25.25 0 00.4-.2v-3.25a.25.25 0 00-.25-.25h-3.5a.25.25 0 00-.25.25z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M1.75 0A1.75 1.75 0 000 1.75v12.5C0 15.216.784 16 1.75 16h12.5A1.75 1.75 0 0016 14.25V1.75A1.75 1.75 0 0014.25 0H1.75zM1.5 1.75a.25.25 0 01.25-.25h12.5a.25.25 0 01.25.25v12.5a.25.25 0 01-.25.25H1.75a.25.25 0 01-.25-.25V1.75zM11.75 3a.75.75 0 00-.75.75v7.5a.75.75 0 001.5 0v-7.5a.75.75 0 00-.75-.75zm-8.25.75a.75.75 0 011.5 0v5.5a.75.75 0 01-1.5 0v-5.5zM8 3a.75.75 0 00-.75.75v3.5a.75.75 0 001.5 0v-3.5A.75.75 0 008 3z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M11.5 7a4.499 4.499 0 11-8.998 0A4.499 4.499 0 0111.5 7zm-.82 4.74a6 6 0 111.06-1.06l3.04 3.04a.75.75 0 11-1.06 1.06l-3.04-3.04z"></path></svg>
    </div>

    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">

    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
    </div>

    <div class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none js-jump-to-badge-search">
      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this repository">
        In this repository
      </span>
      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
        All GitHub
      </span>
      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
    </div>

    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
      Jump to
      <span class="d-inline-block ml-1 v-align-middle">↵</span>
    </div>
  </a>
</li>

  

<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-owner-scoped-search d-none" role="option">
  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="" data-item-type="owner_scoped_search">
    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M2 2.5A2.5 2.5 0 014.5 0h8.75a.75.75 0 01.75.75v12.5a.75.75 0 01-.75.75h-2.5a.75.75 0 110-1.5h1.75v-2h-8a1 1 0 00-.714 1.7.75.75 0 01-1.072 1.05A2.495 2.495 0 012 11.5v-9zm10.5-1V9h-8c-.356 0-.694.074-1 .208V2.5a1 1 0 011-1h8zM5 12.25v3.25a.25.25 0 00.4.2l1.45-1.087a.25.25 0 01.3 0L8.6 15.7a.25.25 0 00.4-.2v-3.25a.25.25 0 00-.25-.25h-3.5a.25.25 0 00-.25.25z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M1.75 0A1.75 1.75 0 000 1.75v12.5C0 15.216.784 16 1.75 16h12.5A1.75 1.75 0 0016 14.25V1.75A1.75 1.75 0 0014.25 0H1.75zM1.5 1.75a.25.25 0 01.25-.25h12.5a.25.25 0 01.25.25v12.5a.25.25 0 01-.25.25H1.75a.25.25 0 01-.25-.25V1.75zM11.75 3a.75.75 0 00-.75.75v7.5a.75.75 0 001.5 0v-7.5a.75.75 0 00-.75-.75zm-8.25.75a.75.75 0 011.5 0v5.5a.75.75 0 01-1.5 0v-5.5zM8 3a.75.75 0 00-.75.75v3.5a.75.75 0 001.5 0v-3.5A.75.75 0 008 3z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M11.5 7a4.499 4.499 0 11-8.998 0A4.499 4.499 0 0111.5 7zm-.82 4.74a6 6 0 111.06-1.06l3.04 3.04a.75.75 0 11-1.06 1.06l-3.04-3.04z"></path></svg>
    </div>

    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">

    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
    </div>

    <div class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none js-jump-to-badge-search">
      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this user">
        In this user
      </span>
      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
        All GitHub
      </span>
      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
    </div>

    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
      Jump to
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  </a>
</li>

  

<li class="d-flex flex-justify-start flex-items-center p-0 f5 navigation-item js-navigation-item js-jump-to-global-search d-none" role="option">
  <a tabindex="-1" class="no-underline d-flex flex-auto flex-items-center jump-to-suggestions-path js-jump-to-suggestion-path js-navigation-open p-2" href="" data-item-type="global_search">
    <div class="jump-to-octicon js-jump-to-octicon flex-shrink-0 mr-2 text-center d-none">
      <svg height="16" width="16" class="octicon octicon-repo flex-shrink-0 js-jump-to-octicon-repo d-none" title="Repository" aria-label="Repository" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M2 2.5A2.5 2.5 0 014.5 0h8.75a.75.75 0 01.75.75v12.5a.75.75 0 01-.75.75h-2.5a.75.75 0 110-1.5h1.75v-2h-8a1 1 0 00-.714 1.7.75.75 0 01-1.072 1.05A2.495 2.495 0 012 11.5v-9zm10.5-1V9h-8c-.356 0-.694.074-1 .208V2.5a1 1 0 011-1h8zM5 12.25v3.25a.25.25 0 00.4.2l1.45-1.087a.25.25 0 01.3 0L8.6 15.7a.25.25 0 00.4-.2v-3.25a.25.25 0 00-.25-.25h-3.5a.25.25 0 00-.25.25z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-project flex-shrink-0 js-jump-to-octicon-project d-none" title="Project" aria-label="Project" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M1.75 0A1.75 1.75 0 000 1.75v12.5C0 15.216.784 16 1.75 16h12.5A1.75 1.75 0 0016 14.25V1.75A1.75 1.75 0 0014.25 0H1.75zM1.5 1.75a.25.25 0 01.25-.25h12.5a.25.25 0 01.25.25v12.5a.25.25 0 01-.25.25H1.75a.25.25 0 01-.25-.25V1.75zM11.75 3a.75.75 0 00-.75.75v7.5a.75.75 0 001.5 0v-7.5a.75.75 0 00-.75-.75zm-8.25.75a.75.75 0 011.5 0v5.5a.75.75 0 01-1.5 0v-5.5zM8 3a.75.75 0 00-.75.75v3.5a.75.75 0 001.5 0v-3.5A.75.75 0 008 3z"></path></svg>
      <svg height="16" width="16" class="octicon octicon-search flex-shrink-0 js-jump-to-octicon-search d-none" title="Search" aria-label="Search" viewBox="0 0 16 16" version="1.1" role="img"><path fill-rule="evenodd" d="M11.5 7a4.499 4.499 0 11-8.998 0A4.499 4.499 0 0111.5 7zm-.82 4.74a6 6 0 111.06-1.06l3.04 3.04a.75.75 0 11-1.06 1.06l-3.04-3.04z"></path></svg>
    </div>

    <img class="avatar mr-2 flex-shrink-0 js-jump-to-suggestion-avatar d-none" alt="" aria-label="Team" src="" width="28" height="28">

    <div class="jump-to-suggestion-name js-jump-to-suggestion-name flex-auto overflow-hidden text-left no-wrap css-truncate css-truncate-target">
    </div>

    <div class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none js-jump-to-badge-search">
      <span class="js-jump-to-badge-search-text-default d-none" aria-label="in this repository">
        In this repository
      </span>
      <span class="js-jump-to-badge-search-text-global d-none" aria-label="in all of GitHub">
        All GitHub
      </span>
      <span aria-hidden="true" class="d-inline-block ml-1 v-align-middle">↵</span>
    </div>

    <div aria-hidden="true" class="border rounded-1 flex-shrink-0 color-bg-tertiary px-1 color-text-tertiary ml-1 f6 d-none d-on-nav-focus js-jump-to-badge-jump">
      Jump to
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</li>


    <li class="d-flex flex-justify-center flex-items-center p-0 f5 js-jump-to-suggestion">
      <svg style="box-sizing: content-box; color: var(--color-icon-primary);" viewBox="0 0 16 16" fill="none" data-view-component="true" width="32" height="32" class="m-3 anim-rotate">
  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />
  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" />
</svg>
    </li>
</ul>

            </div>
        </label>
</form>    </div>
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        <nav class="d-flex flex-column flex-md-row flex-self-stretch flex-md-self-auto" aria-label="Global">
      <a class="Header-link py-md-3 d-block d-md-none py-2 border-top border-md-top-0 border-white-fade" data-ga-click="Header, click, Nav menu - item:dashboard:user" aria-label="Dashboard" href="/dashboard">
        Dashboard
</a>
    <a class="js-selected-navigation-item Header-link mt-md-n3 mb-md-n3 py-2 py-md-3 mr-0 mr-md-3 border-top border-md-top-0 border-white-fade" data-hotkey="g p" data-ga-click="Header, click, Nav menu - item:pulls context:user" aria-label="Pull requests you created" data-selected-links="/pulls /pulls/assigned /pulls/mentioned /pulls" href="/pulls">
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  <template class="js-flash-template">
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      <div>{{ message }}</div>

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  <div
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        <details-menu
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                      Only receive notifications from this repository when participating or @mentioned.
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              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L374">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>numgridpoints</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L377">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>transmatrix</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L393">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>SplineResult</span>
              <span class="flex-auto d-flex flex-justify-end">Class</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L394">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>__init__</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L402">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>maxval</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L448">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>mode</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L537">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>ev</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L569">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>cov</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L641">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>spline_grid_obj</span>
              <span class="flex-auto d-flex flex-justify-end">Class</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L643">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>__init__</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L655">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>ks</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L661">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>ransample_bivar</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L673">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>shape</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L683">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>initial_gauss</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L704">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>sim_sample2d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L741">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>sim_sample3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L778">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>filt</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L793">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>which_ij</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L821">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>index_conv</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L828">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>get_intervals</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L863">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>get_intersections</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L892">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>transmatrix_2d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L915">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>likelihood</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L924">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>norm_sq</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L933">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>sobolev</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L943">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>entropy</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L952">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>tot_deriv</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L958">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>norm_fprime</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L964">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>second_deriv</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L971">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_likelihood</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L982">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_norm_sq</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L992">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_sobolev</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1002">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_entropy</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1012">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>ise</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1016">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>mise</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1020">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>sq_l2</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1024">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>prop_n</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1031">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>get_int</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1037">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>updt</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1056">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>updt_cv</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1075">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>select_cluster</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1098">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>shift_scale_loc</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1115">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>index_finder</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1129">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>prop_n</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1132">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>alpha_vals</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1142">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>alpha_lep</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1154">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>sample_shuffle</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1168">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>cv_index</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1182">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>cv_loss</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1213">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>quarter_selector</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1234">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>rmle_2d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1437">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>edge_check</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1445">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>outer_edge_check</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1450">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>get_index</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1462">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>point_check</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1472">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>vertex_check</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1481">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>get_box_index</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1591">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>angle</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1613">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>point_sorter</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1632">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>area_poly</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1642">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>ransample</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1654">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>transmatrix_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1733">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>second_deriv_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1742">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>likelihood_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1751">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>sobolev_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1760">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>norm_fprime_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1766">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_sobolev_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1776">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>norm_sq_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1784">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>entropy_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1793">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_likelihood_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1804">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_norm_sq_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1814">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>jac_entropy_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1824">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>likelihood_l</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L1831">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>rmle_3d</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
</a>            <a class="SelectMenu-item d-flex flex-justify-between css-truncate" role="menuitemradio" aria-checked="false" rel="nofollow" data-hydro-click="{&quot;event_type&quot;:&quot;code_navigation.navigate_to_blob_definition&quot;,&quot;payload&quot;:{&quot;action&quot;:&quot;navigate_to_blob_definition&quot;,&quot;repository_id&quot;:341304644,&quot;ref&quot;:&quot;main&quot;,&quot;language&quot;:&quot;Python&quot;,&quot;originating_url&quot;:&quot;https://github.com/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py&quot;,&quot;user_id&quot;:50602943}}" data-hydro-click-hmac="f8919e0d4079be42682c2509cb8f33b4b6beeaf7472f9dc7b49cbc01cf78de27" href="/eae-mendoza/PyRMLE/blob/main/Lib/pyrmle_hfuncs.py#L2073">
              <svg aria-hidden="true" viewBox="0 0 16 16" version="1.1" data-view-component="true" height="16" width="16" class="octicon octicon-check SelectMenu-icon SelectMenu-icon--check">
    <path fill-rule="evenodd" d="M13.78 4.22a.75.75 0 010 1.06l-7.25 7.25a.75.75 0 01-1.06 0L2.22 9.28a.75.75 0 011.06-1.06L6 10.94l6.72-6.72a.75.75 0 011.06 0z"></path>
</svg>
              <span class="flex-auto css-truncate-target" data-menu-button-text>scale_sample</span>
              <span class="flex-auto d-flex flex-justify-end">Function</span>
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        <td id="LC1" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>matplotlib</span>.<span class=pl-s1>pyplot</span> <span class=pl-k>as</span> <span class=pl-s1>plt</span></td>
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        <td id="L2" class="blob-num js-line-number" data-line-number="2"></td>
        <td id="LC2" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>scipy</span>.<span class=pl-s1>optimize</span> <span class=pl-k>as</span> <span class=pl-s1>scop</span></td>
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        <td id="LC3" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>scipy</span> <span class=pl-k>as</span> <span class=pl-s1>sp</span></td>
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        <td id="L4" class="blob-num js-line-number" data-line-number="4"></td>
        <td id="LC4" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>random</span></td>
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        <td id="L5" class="blob-num js-line-number" data-line-number="5"></td>
        <td id="LC5" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>numpy</span> <span class=pl-k>as</span> <span class=pl-s1>np</span></td>
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        <td id="L6" class="blob-num js-line-number" data-line-number="6"></td>
        <td id="LC6" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>time</span></td>
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        <td id="L7" class="blob-num js-line-number" data-line-number="7"></td>
        <td id="LC7" class="blob-code blob-code-inner js-file-line"><span class=pl-k>import</span> <span class=pl-s1>sys</span></td>
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        <td id="L8" class="blob-num js-line-number" data-line-number="8"></td>
        <td id="LC8" class="blob-code blob-code-inner js-file-line"><span class=pl-k>from</span> <span class=pl-s1>sklearn</span>.<span class=pl-s1>cluster</span> <span class=pl-k>import</span> <span class=pl-v>KMeans</span></td>
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        <td id="L9" class="blob-num js-line-number" data-line-number="9"></td>
        <td id="LC9" class="blob-code blob-code-inner js-file-line"><span class=pl-k>from</span> <span class=pl-s1>mpl_toolkits</span>.<span class=pl-s1>mplot3d</span> <span class=pl-k>import</span> <span class=pl-v>Axes3D</span></td>
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        <td id="L11" class="blob-num js-line-number" data-line-number="11"></td>
        <td id="LC11" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-v>RMLEResult</span>:</td>
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        <td id="L12" class="blob-num js-line-number" data-line-number="12"></td>
        <td id="LC12" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Class used to store the result of the rmle() function. </span></td>
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        <td id="L13" class="blob-num js-line-number" data-line-number="13"></td>
        <td id="LC13" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Arguments for this class:</span></td>
      </tr>
      <tr>
        <td id="L14" class="blob-num js-line-number" data-line-number="14"></td>
        <td id="LC14" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    f - NumPy np.array containing all grid-point estimates for \hat{f_<span class=pl-cce>\b</span>eta}</span></td>
      </tr>
      <tr>
        <td id="L15" class="blob-num js-line-number" data-line-number="15"></td>
        <td id="LC15" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L16" class="blob-num js-line-number" data-line-number="16"></td>
        <td id="LC16" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    alpha - floating point that specifies the regularization parameters</span></td>
      </tr>
      <tr>
        <td id="L17" class="blob-num js-line-number" data-line-number="17"></td>
        <td id="LC17" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L18" class="blob-num js-line-number" data-line-number="18"></td>
        <td id="LC18" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    alpmth - string that specifies the method of selecting the regularization parameter</span></td>
      </tr>
      <tr>
        <td id="L19" class="blob-num js-line-number" data-line-number="19"></td>
        <td id="LC19" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L20" class="blob-num js-line-number" data-line-number="20"></td>
        <td id="LC20" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    T - class object tmatrix</span></td>
      </tr>
      <tr>
        <td id="L21" class="blob-num js-line-number" data-line-number="21"></td>
        <td id="LC21" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L22" class="blob-num js-line-number" data-line-number="22"></td>
        <td id="LC22" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    details - meta-data regarding the optimization process</span></td>
      </tr>
      <tr>
        <td id="L23" class="blob-num js-line-number" data-line-number="23"></td>
        <td id="LC23" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L24" class="blob-num js-line-number" data-line-number="24"></td>
        <td id="LC24" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Available methods:</span></td>
      </tr>
      <tr>
        <td id="L25" class="blob-num js-line-number" data-line-number="25"></td>
        <td id="LC25" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    maxval(self) - returns a list containing the maximum value  of the estimated density \hat{f_<span class=pl-cce>\b</span>eta} as a floating point,</span></td>
      </tr>
      <tr>
        <td id="L26" class="blob-num js-line-number" data-line-number="26"></td>
        <td id="LC26" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    its location as a tuple.</span></td>
      </tr>
      <tr>
        <td id="L27" class="blob-num js-line-number" data-line-number="27"></td>
        <td id="LC27" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L28" class="blob-num js-line-number" data-line-number="28"></td>
        <td id="LC28" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    mode(self) - returns a list of lists containing possible modes of \hat{f_<span class=pl-cce>\b</span>eta} as floating points, and its locations as</span></td>
      </tr>
      <tr>
        <td id="L29" class="blob-num js-line-number" data-line-number="29"></td>
        <td id="LC29" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    tuples.</span></td>
      </tr>
      <tr>
        <td id="L30" class="blob-num js-line-number" data-line-number="30"></td>
        <td id="LC30" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L31" class="blob-num js-line-number" data-line-number="31"></td>
        <td id="LC31" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    ev(self) - returns a list of floating points which correspond to the expected value of each beta: [E[B_0], E[B_1],E[B_2]]</span></td>
      </tr>
      <tr>
        <td id="L32" class="blob-num js-line-number" data-line-number="32"></td>
        <td id="LC32" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L33" class="blob-num js-line-number" data-line-number="33"></td>
        <td id="LC33" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    cov(self) - returns a d x d np.array which corresponds to the variance-covariance matrix of \hat{f_<span class=pl-cce>\b</span>eta}.</span></td>
      </tr>
      <tr>
        <td id="L34" class="blob-num js-line-number" data-line-number="34"></td>
        <td id="LC34" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L35" class="blob-num js-line-number" data-line-number="35"></td>
        <td id="LC35" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L36" class="blob-num js-line-number" data-line-number="36"></td>
        <td id="LC36" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>,<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>alpmth</span>,<span class=pl-v>T</span>,<span class=pl-s1>details</span>):</td>
      </tr>
      <tr>
        <td id="L37" class="blob-num js-line-number" data-line-number="37"></td>
        <td id="LC37" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>f</span>  <span class=pl-c1>=</span> <span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L38" class="blob-num js-line-number" data-line-number="38"></td>
        <td id="LC38" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-v>Tmat</span> <span class=pl-c1>=</span> <span class=pl-v>T</span>.<span class=pl-v>Tmat</span></td>
      </tr>
      <tr>
        <td id="L39" class="blob-num js-line-number" data-line-number="39"></td>
        <td id="LC39" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-v>T</span> <span class=pl-c1>=</span> <span class=pl-v>T</span></td>
      </tr>
      <tr>
        <td id="L40" class="blob-num js-line-number" data-line-number="40"></td>
        <td id="LC40" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>alpha</span> <span class=pl-c1>=</span> <span class=pl-s1>alpha</span></td>
      </tr>
      <tr>
        <td id="L41" class="blob-num js-line-number" data-line-number="41"></td>
        <td id="LC41" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>alpmth</span> <span class=pl-c1>=</span> <span class=pl-s1>alpmth</span></td>
      </tr>
      <tr>
        <td id="L42" class="blob-num js-line-number" data-line-number="42"></td>
        <td id="LC42" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>grid</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-v>T</span>.<span class=pl-s1>grid</span></td>
      </tr>
      <tr>
        <td id="L43" class="blob-num js-line-number" data-line-number="43"></td>
        <td id="LC43" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-v>T</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L44" class="blob-num js-line-number" data-line-number="44"></td>
        <td id="LC44" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>f_shaped</span> <span class=pl-c1>=</span> <span class=pl-en>shape</span>(<span class=pl-s1>self</span>)</td>
      </tr>
      <tr>
        <td id="L45" class="blob-num js-line-number" data-line-number="45"></td>
        <td id="LC45" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>details</span> <span class=pl-c1>=</span> <span class=pl-s1>details</span></td>
      </tr>
      <tr>
        <td id="L46" class="blob-num js-line-number" data-line-number="46"></td>
        <td id="LC46" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L47" class="blob-num js-line-number" data-line-number="47"></td>
        <td id="LC47" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>maxval</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L48" class="blob-num js-line-number" data-line-number="48"></td>
        <td id="LC48" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Extracts the maximum value of \hat{f_\beta}</span></td>
      </tr>
      <tr>
        <td id="L49" class="blob-num js-line-number" data-line-number="49"></td>
        <td id="LC49" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>mval</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>max</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L50" class="blob-num js-line-number" data-line-number="50"></td>
        <td id="LC50" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Get the index of the maximum value of \hat{f_\beta} from its m x 1 np.array-form </span></td>
      </tr>
      <tr>
        <td id="L51" class="blob-num js-line-number" data-line-number="51"></td>
        <td id="LC51" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span><span class=pl-c1>==</span><span class=pl-s1>np</span>.<span class=pl-en>max</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>))[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L52" class="blob-num js-line-number" data-line-number="52"></td>
        <td id="LC52" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Creates the new intervals which corresponds to center of the individual grid-boxes or cubes.</span></td>
      </tr>
      <tr>
        <td id="L53" class="blob-num js-line-number" data-line-number="53"></td>
        <td id="LC53" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L54" class="blob-num js-line-number" data-line-number="54"></td>
        <td id="LC54" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L55" class="blob-num js-line-number" data-line-number="55"></td>
        <td id="LC55" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L56" class="blob-num js-line-number" data-line-number="56"></td>
        <td id="LC56" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L57" class="blob-num js-line-number" data-line-number="57"></td>
        <td id="LC57" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span><span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L58" class="blob-num js-line-number" data-line-number="58"></td>
        <td id="LC58" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Converts the index i obtained previously into grid locations based on the 2-dimensional np.array.</span></td>
      </tr>
      <tr>
        <td id="L59" class="blob-num js-line-number" data-line-number="59"></td>
        <td id="LC59" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L60" class="blob-num js-line-number" data-line-number="60"></td>
        <td id="LC60" class="blob-code blob-code-inner js-file-line">            <span class=pl-c>#Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L61" class="blob-num js-line-number" data-line-number="61"></td>
        <td id="LC61" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>x1</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span><span class=pl-c1>/</span><span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L62" class="blob-num js-line-number" data-line-number="62"></td>
        <td id="LC62" class="blob-code blob-code-inner js-file-line">            <span class=pl-c>#Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L63" class="blob-num js-line-number" data-line-number="63"></td>
        <td id="LC63" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>x2</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>%</span><span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L64" class="blob-num js-line-number" data-line-number="64"></td>
        <td id="LC64" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L65" class="blob-num js-line-number" data-line-number="65"></td>
        <td id="LC65" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L66" class="blob-num js-line-number" data-line-number="66"></td>
        <td id="LC66" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span><span class=pl-c1>-</span><span class=pl-c1>1</span>],<span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]]</td>
      </tr>
      <tr>
        <td id="L67" class="blob-num js-line-number" data-line-number="67"></td>
        <td id="LC67" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> [<span class=pl-s1>mval</span>,<span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L68" class="blob-num js-line-number" data-line-number="68"></td>
        <td id="LC68" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L69" class="blob-num js-line-number" data-line-number="69"></td>
        <td id="LC69" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>],<span class=pl-v>B1</span>[<span class=pl-s1>x2</span>]]</td>
      </tr>
      <tr>
        <td id="L70" class="blob-num js-line-number" data-line-number="70"></td>
        <td id="LC70" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> [<span class=pl-s1>mval</span>,<span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L71" class="blob-num js-line-number" data-line-number="71"></td>
        <td id="LC71" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L72" class="blob-num js-line-number" data-line-number="72"></td>
        <td id="LC72" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L73" class="blob-num js-line-number" data-line-number="73"></td>
        <td id="LC73" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Converts the index i obtained previously into grid locations based on the 3-dimensional np.array.</span></td>
      </tr>
      <tr>
        <td id="L74" class="blob-num js-line-number" data-line-number="74"></td>
        <td id="LC74" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L75" class="blob-num js-line-number" data-line-number="75"></td>
        <td id="LC75" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L76" class="blob-num js-line-number" data-line-number="76"></td>
        <td id="LC76" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L77" class="blob-num js-line-number" data-line-number="77"></td>
        <td id="LC77" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&gt;</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L78" class="blob-num js-line-number" data-line-number="78"></td>
        <td id="LC78" class="blob-code blob-code-inner js-file-line">                <span class=pl-c>#Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L79" class="blob-num js-line-number" data-line-number="79"></td>
        <td id="LC79" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>x1</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>%</span><span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L80" class="blob-num js-line-number" data-line-number="80"></td>
        <td id="LC80" class="blob-code blob-code-inner js-file-line">                <span class=pl-c>#Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L81" class="blob-num js-line-number" data-line-number="81"></td>
        <td id="LC81" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>x2</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>%</span><span class=pl-s1>k2</span>)<span class=pl-c1>/</span><span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L82" class="blob-num js-line-number" data-line-number="82"></td>
        <td id="LC82" class="blob-code blob-code-inner js-file-line">                <span class=pl-c>#Gets index based on third axis</span></td>
      </tr>
      <tr>
        <td id="L83" class="blob-num js-line-number" data-line-number="83"></td>
        <td id="LC83" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>x3</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span><span class=pl-c1>/</span><span class=pl-s1>k2</span>))</td>
      </tr>
      <tr>
        <td id="L84" class="blob-num js-line-number" data-line-number="84"></td>
        <td id="LC84" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L85" class="blob-num js-line-number" data-line-number="85"></td>
        <td id="LC85" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L86" class="blob-num js-line-number" data-line-number="86"></td>
        <td id="LC86" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span><span class=pl-c1>-</span><span class=pl-c1>1</span>],<span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>],<span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L87" class="blob-num js-line-number" data-line-number="87"></td>
        <td id="LC87" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>return</span> [<span class=pl-s1>mval</span>,<span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L88" class="blob-num js-line-number" data-line-number="88"></td>
        <td id="LC88" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L89" class="blob-num js-line-number" data-line-number="89"></td>
        <td id="LC89" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>],<span class=pl-v>B1</span>[<span class=pl-s1>x2</span>],<span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L90" class="blob-num js-line-number" data-line-number="90"></td>
        <td id="LC90" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>return</span> [<span class=pl-s1>mval</span>,<span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L91" class="blob-num js-line-number" data-line-number="91"></td>
        <td id="LC91" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L92" class="blob-num js-line-number" data-line-number="92"></td>
        <td id="LC92" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L93" class="blob-num js-line-number" data-line-number="93"></td>
        <td id="LC93" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-c1>0</span>],<span class=pl-v>B1</span>[<span class=pl-c1>0</span>],<span class=pl-v>B2</span>[<span class=pl-c1>0</span>]]</td>
      </tr>
      <tr>
        <td id="L94" class="blob-num js-line-number" data-line-number="94"></td>
        <td id="LC94" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> [<span class=pl-s1>mval</span>,<span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L95" class="blob-num js-line-number" data-line-number="95"></td>
        <td id="LC95" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L96" class="blob-num js-line-number" data-line-number="96"></td>
        <td id="LC96" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>mode</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L97" class="blob-num js-line-number" data-line-number="97"></td>
        <td id="LC97" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Initialize the list to append possible local maxima to</span></td>
      </tr>
      <tr>
        <td id="L98" class="blob-num js-line-number" data-line-number="98"></td>
        <td id="LC98" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>modes</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L99" class="blob-num js-line-number" data-line-number="99"></td>
        <td id="LC99" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L100" class="blob-num js-line-number" data-line-number="100"></td>
        <td id="LC100" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L101" class="blob-num js-line-number" data-line-number="101"></td>
        <td id="LC101" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L102" class="blob-num js-line-number" data-line-number="102"></td>
        <td id="LC102" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L103" class="blob-num js-line-number" data-line-number="103"></td>
        <td id="LC103" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L104" class="blob-num js-line-number" data-line-number="104"></td>
        <td id="LC104" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L105" class="blob-num js-line-number" data-line-number="105"></td>
        <td id="LC105" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L106" class="blob-num js-line-number" data-line-number="106"></td>
        <td id="LC106" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Index adjustments to get neighboring points for a 2-dimensional np.array</span></td>
      </tr>
      <tr>
        <td id="L107" class="blob-num js-line-number" data-line-number="107"></td>
        <td id="LC107" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>neighbor_ks</span> <span class=pl-c1>=</span> [<span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-c1>1</span>,<span class=pl-c1>-</span><span class=pl-s1>k</span>,<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span>),<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span>),<span class=pl-s1>k</span>,<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L108" class="blob-num js-line-number" data-line-number="108"></td>
        <td id="LC108" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L109" class="blob-num js-line-number" data-line-number="109"></td>
        <td id="LC109" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>)):</td>
      </tr>
      <tr>
        <td id="L110" class="blob-num js-line-number" data-line-number="110"></td>
        <td id="LC110" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L111" class="blob-num js-line-number" data-line-number="111"></td>
        <td id="LC111" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>neighbor_ks</span>:</td>
      </tr>
      <tr>
        <td id="L112" class="blob-num js-line-number" data-line-number="112"></td>
        <td id="LC112" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># The try / pass here is necessary in case f[i] does not have</span></td>
      </tr>
      <tr>
        <td id="L113" class="blob-num js-line-number" data-line-number="113"></td>
        <td id="LC113" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># a neighboring point in some directions</span></td>
      </tr>
      <tr>
        <td id="L114" class="blob-num js-line-number" data-line-number="114"></td>
        <td id="LC114" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>try</span>:</td>
      </tr>
      <tr>
        <td id="L115" class="blob-num js-line-number" data-line-number="115"></td>
        <td id="LC115" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>neighbors</span>.<span class=pl-en>append</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-s1>j</span>])</td>
      </tr>
      <tr>
        <td id="L116" class="blob-num js-line-number" data-line-number="116"></td>
        <td id="LC116" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>except</span>:</td>
      </tr>
      <tr>
        <td id="L117" class="blob-num js-line-number" data-line-number="117"></td>
        <td id="LC117" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>pass</span></td>
      </tr>
      <tr>
        <td id="L118" class="blob-num js-line-number" data-line-number="118"></td>
        <td id="LC118" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>neighbors</span>)</td>
      </tr>
      <tr>
        <td id="L119" class="blob-num js-line-number" data-line-number="119"></td>
        <td id="LC119" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Check if there are any neighboring values to f[i] that are greater</span></td>
      </tr>
      <tr>
        <td id="L120" class="blob-num js-line-number" data-line-number="120"></td>
        <td id="LC120" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>neighbors</span> <span class=pl-c1>&gt;</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L121" class="blob-num js-line-number" data-line-number="121"></td>
        <td id="LC121" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L122" class="blob-num js-line-number" data-line-number="122"></td>
        <td id="LC122" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>val</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>: </td>
      </tr>
      <tr>
        <td id="L123" class="blob-num js-line-number" data-line-number="123"></td>
        <td id="LC123" class="blob-code blob-code-inner js-file-line">                    <span class=pl-c># This case happens when there are no neighboring points that are greater</span></td>
      </tr>
      <tr>
        <td id="L124" class="blob-num js-line-number" data-line-number="124"></td>
        <td id="LC124" class="blob-code blob-code-inner js-file-line">                    <span class=pl-c># Which means f[i] is a local maximum</span></td>
      </tr>
      <tr>
        <td id="L125" class="blob-num js-line-number" data-line-number="125"></td>
        <td id="LC125" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&gt;</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L126" class="blob-num js-line-number" data-line-number="126"></td>
        <td id="LC126" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c>#Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L127" class="blob-num js-line-number" data-line-number="127"></td>
        <td id="LC127" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x1</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span><span class=pl-c1>/</span><span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L128" class="blob-num js-line-number" data-line-number="128"></td>
        <td id="LC128" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c>#Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L129" class="blob-num js-line-number" data-line-number="129"></td>
        <td id="LC129" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x2</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>%</span><span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L130" class="blob-num js-line-number" data-line-number="130"></td>
        <td id="LC130" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L131" class="blob-num js-line-number" data-line-number="131"></td>
        <td id="LC131" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span><span class=pl-c1>-</span><span class=pl-c1>1</span>],<span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]]</td>
      </tr>
      <tr>
        <td id="L132" class="blob-num js-line-number" data-line-number="132"></td>
        <td id="LC132" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>],<span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L133" class="blob-num js-line-number" data-line-number="133"></td>
        <td id="LC133" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L134" class="blob-num js-line-number" data-line-number="134"></td>
        <td id="LC134" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>],<span class=pl-v>B1</span>[<span class=pl-s1>x2</span>]]</td>
      </tr>
      <tr>
        <td id="L135" class="blob-num js-line-number" data-line-number="135"></td>
        <td id="LC135" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>],<span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L136" class="blob-num js-line-number" data-line-number="136"></td>
        <td id="LC136" class="blob-code blob-code-inner js-file-line">                            </td>
      </tr>
      <tr>
        <td id="L137" class="blob-num js-line-number" data-line-number="137"></td>
        <td id="LC137" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L138" class="blob-num js-line-number" data-line-number="138"></td>
        <td id="LC138" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-c1>0</span>],<span class=pl-v>B1</span>[<span class=pl-c1>0</span>]]</td>
      </tr>
      <tr>
        <td id="L139" class="blob-num js-line-number" data-line-number="139"></td>
        <td id="LC139" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>],<span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L140" class="blob-num js-line-number" data-line-number="140"></td>
        <td id="LC140" class="blob-code blob-code-inner js-file-line">                        </td>
      </tr>
      <tr>
        <td id="L141" class="blob-num js-line-number" data-line-number="141"></td>
        <td id="LC141" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>modes</span>.<span class=pl-en>sort</span>(<span class=pl-s1>reverse</span><span class=pl-c1>=</span><span class=pl-c1>True</span>)</td>
      </tr>
      <tr>
        <td id="L142" class="blob-num js-line-number" data-line-number="142"></td>
        <td id="LC142" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L143" class="blob-num js-line-number" data-line-number="143"></td>
        <td id="LC143" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>modes</span>[:<span class=pl-c1>6</span>]</td>
      </tr>
      <tr>
        <td id="L144" class="blob-num js-line-number" data-line-number="144"></td>
        <td id="LC144" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L145" class="blob-num js-line-number" data-line-number="145"></td>
        <td id="LC145" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L146" class="blob-num js-line-number" data-line-number="146"></td>
        <td id="LC146" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L147" class="blob-num js-line-number" data-line-number="147"></td>
        <td id="LC147" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L148" class="blob-num js-line-number" data-line-number="148"></td>
        <td id="LC148" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Index adjustments to get neighboring points for a 3-dimensional np.array</span></td>
      </tr>
      <tr>
        <td id="L149" class="blob-num js-line-number" data-line-number="149"></td>
        <td id="LC149" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>neighbor_ks</span> <span class=pl-c1>=</span> [<span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-c1>1</span>,<span class=pl-c1>-</span><span class=pl-s1>k</span>,<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span>),<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span>),<span class=pl-s1>k</span>,<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span>,<span class=pl-c1>-</span><span class=pl-c1>1</span><span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-c1>1</span><span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span><span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span>)<span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span>)<span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span><span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span><span class=pl-c1>-</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span><span class=pl-c1>1</span><span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-c1>1</span><span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span><span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span>)<span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-c1>-</span>(<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span>)<span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-s1>k</span><span class=pl-c1>-</span><span class=pl-c1>1</span><span class=pl-c1>+</span><span class=pl-s1>k2</span>,<span class=pl-s1>k</span><span class=pl-c1>+</span><span class=pl-c1>1</span><span class=pl-c1>+</span><span class=pl-s1>k2</span>]</td>
      </tr>
      <tr>
        <td id="L150" class="blob-num js-line-number" data-line-number="150"></td>
        <td id="LC150" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L151" class="blob-num js-line-number" data-line-number="151"></td>
        <td id="LC151" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>)):</td>
      </tr>
      <tr>
        <td id="L152" class="blob-num js-line-number" data-line-number="152"></td>
        <td id="LC152" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L153" class="blob-num js-line-number" data-line-number="153"></td>
        <td id="LC153" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>neighbor_ks</span>:</td>
      </tr>
      <tr>
        <td id="L154" class="blob-num js-line-number" data-line-number="154"></td>
        <td id="LC154" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>try</span>:</td>
      </tr>
      <tr>
        <td id="L155" class="blob-num js-line-number" data-line-number="155"></td>
        <td id="LC155" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>neighbors</span>.<span class=pl-en>append</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-s1>j</span>])</td>
      </tr>
      <tr>
        <td id="L156" class="blob-num js-line-number" data-line-number="156"></td>
        <td id="LC156" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>except</span>:</td>
      </tr>
      <tr>
        <td id="L157" class="blob-num js-line-number" data-line-number="157"></td>
        <td id="LC157" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>pass</span></td>
      </tr>
      <tr>
        <td id="L158" class="blob-num js-line-number" data-line-number="158"></td>
        <td id="LC158" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>neighbors</span>)</td>
      </tr>
      <tr>
        <td id="L159" class="blob-num js-line-number" data-line-number="159"></td>
        <td id="LC159" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Check if there are any neighboring values to f[i] that are greater</span></td>
      </tr>
      <tr>
        <td id="L160" class="blob-num js-line-number" data-line-number="160"></td>
        <td id="LC160" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>neighbors</span> <span class=pl-c1>&gt;</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L161" class="blob-num js-line-number" data-line-number="161"></td>
        <td id="LC161" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L162" class="blob-num js-line-number" data-line-number="162"></td>
        <td id="LC162" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>val</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L163" class="blob-num js-line-number" data-line-number="163"></td>
        <td id="LC163" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&gt;</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L164" class="blob-num js-line-number" data-line-number="164"></td>
        <td id="LC164" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c>#Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L165" class="blob-num js-line-number" data-line-number="165"></td>
        <td id="LC165" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x1</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>%</span><span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L166" class="blob-num js-line-number" data-line-number="166"></td>
        <td id="LC166" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c>#Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L167" class="blob-num js-line-number" data-line-number="167"></td>
        <td id="LC167" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x2</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>%</span><span class=pl-s1>k2</span>)<span class=pl-c1>/</span><span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L168" class="blob-num js-line-number" data-line-number="168"></td>
        <td id="LC168" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c>#Gets index based on third axis</span></td>
      </tr>
      <tr>
        <td id="L169" class="blob-num js-line-number" data-line-number="169"></td>
        <td id="LC169" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x3</span><span class=pl-c1>=</span><span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span><span class=pl-c1>/</span><span class=pl-s1>k2</span>))</td>
      </tr>
      <tr>
        <td id="L170" class="blob-num js-line-number" data-line-number="170"></td>
        <td id="LC170" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L171" class="blob-num js-line-number" data-line-number="171"></td>
        <td id="LC171" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span><span class=pl-c1>-</span><span class=pl-c1>1</span>],<span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>],<span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L172" class="blob-num js-line-number" data-line-number="172"></td>
        <td id="LC172" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>],<span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L173" class="blob-num js-line-number" data-line-number="173"></td>
        <td id="LC173" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L174" class="blob-num js-line-number" data-line-number="174"></td>
        <td id="LC174" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>],<span class=pl-v>B1</span>[<span class=pl-s1>x2</span>],<span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L175" class="blob-num js-line-number" data-line-number="175"></td>
        <td id="LC175" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>],<span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L176" class="blob-num js-line-number" data-line-number="176"></td>
        <td id="LC176" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L177" class="blob-num js-line-number" data-line-number="177"></td>
        <td id="LC177" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>loc</span><span class=pl-c1>=</span>[<span class=pl-v>B0</span>[<span class=pl-c1>0</span>],<span class=pl-v>B1</span>[<span class=pl-c1>0</span>],<span class=pl-v>B2</span>[<span class=pl-c1>0</span>]]</td>
      </tr>
      <tr>
        <td id="L178" class="blob-num js-line-number" data-line-number="178"></td>
        <td id="LC178" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>],<span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L179" class="blob-num js-line-number" data-line-number="179"></td>
        <td id="LC179" class="blob-code blob-code-inner js-file-line">                        </td>
      </tr>
      <tr>
        <td id="L180" class="blob-num js-line-number" data-line-number="180"></td>
        <td id="LC180" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>modes</span>.<span class=pl-en>sort</span>(<span class=pl-s1>reverse</span><span class=pl-c1>=</span><span class=pl-c1>True</span>)</td>
      </tr>
      <tr>
        <td id="L181" class="blob-num js-line-number" data-line-number="181"></td>
        <td id="LC181" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>modes</span>[:<span class=pl-c1>6</span>]</td>
      </tr>
      <tr>
        <td id="L182" class="blob-num js-line-number" data-line-number="182"></td>
        <td id="LC182" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L183" class="blob-num js-line-number" data-line-number="183"></td>
        <td id="LC183" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>ev</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L184" class="blob-num js-line-number" data-line-number="184"></td>
        <td id="LC184" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Creates the new intervals which corresponds to center of the individual grid-boxes or cubes.</span></td>
      </tr>
      <tr>
        <td id="L185" class="blob-num js-line-number" data-line-number="185"></td>
        <td id="LC185" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> (<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span><span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>])<span class=pl-c1>*</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L186" class="blob-num js-line-number" data-line-number="186"></td>
        <td id="LC186" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> (<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span><span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>])<span class=pl-c1>*</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L187" class="blob-num js-line-number" data-line-number="187"></td>
        <td id="LC187" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> (<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span><span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>2</span>])<span class=pl-c1>*</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L188" class="blob-num js-line-number" data-line-number="188"></td>
        <td id="LC188" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Initialize the list for expected values</span></td>
      </tr>
      <tr>
        <td id="L189" class="blob-num js-line-number" data-line-number="189"></td>
        <td id="LC189" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>expected_vals</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L190" class="blob-num js-line-number" data-line-number="190"></td>
        <td id="LC190" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>m</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L191" class="blob-num js-line-number" data-line-number="191"></td>
        <td id="LC191" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Call \hat{f_\beta}</span></td>
      </tr>
      <tr>
        <td id="L192" class="blob-num js-line-number" data-line-number="192"></td>
        <td id="LC192" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>f</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L193" class="blob-num js-line-number" data-line-number="193"></td>
        <td id="LC193" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Declare the step size of the grid based on the grid used to create the transformation matrix</span></td>
      </tr>
      <tr>
        <td id="L194" class="blob-num js-line-number" data-line-number="194"></td>
        <td id="LC194" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_step</span> <span class=pl-c1>=</span> <span class=pl-v>B0</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B0</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L195" class="blob-num js-line-number" data-line-number="195"></td>
        <td id="LC195" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1_step</span> <span class=pl-c1>=</span> <span class=pl-v>B1</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B1</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L196" class="blob-num js-line-number" data-line-number="196"></td>
        <td id="LC196" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b2_step</span> <span class=pl-c1>=</span> <span class=pl-v>B2</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B2</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L197" class="blob-num js-line-number" data-line-number="197"></td>
        <td id="LC197" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L198" class="blob-num js-line-number" data-line-number="198"></td>
        <td id="LC198" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L199" class="blob-num js-line-number" data-line-number="199"></td>
        <td id="LC199" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Reshape \hat{f_\beta} to the it&#39;s 2-dimensional np.array form</span></td>
      </tr>
      <tr>
        <td id="L200" class="blob-num js-line-number" data-line-number="200"></td>
        <td id="LC200" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f_shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>m</span>,<span class=pl-s1>m</span>)</td>
      </tr>
      <tr>
        <td id="L201" class="blob-num js-line-number" data-line-number="201"></td>
        <td id="LC201" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># E[B0] = \int{}</span></td>
      </tr>
      <tr>
        <td id="L202" class="blob-num js-line-number" data-line-number="202"></td>
        <td id="LC202" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-v>B0</span><span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span>))</td>
      </tr>
      <tr>
        <td id="L203" class="blob-num js-line-number" data-line-number="203"></td>
        <td id="LC203" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-v>B1</span><span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span>))</td>
      </tr>
      <tr>
        <td id="L204" class="blob-num js-line-number" data-line-number="204"></td>
        <td id="LC204" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>shift_scale_loc</span>(<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>,<span class=pl-s1>expected_vals</span>)</td>
      </tr>
      <tr>
        <td id="L205" class="blob-num js-line-number" data-line-number="205"></td>
        <td id="LC205" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L206" class="blob-num js-line-number" data-line-number="206"></td>
        <td id="LC206" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>3</span>:</td>
      </tr>
      <tr>
        <td id="L207" class="blob-num js-line-number" data-line-number="207"></td>
        <td id="LC207" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f_shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>m</span>,<span class=pl-s1>m</span>,<span class=pl-s1>m</span>)</td>
      </tr>
      <tr>
        <td id="L208" class="blob-num js-line-number" data-line-number="208"></td>
        <td id="LC208" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f12</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>2</span>)<span class=pl-c1>*</span><span class=pl-s1>b0_step</span></td>
      </tr>
      <tr>
        <td id="L209" class="blob-num js-line-number" data-line-number="209"></td>
        <td id="LC209" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f02</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-s1>b1_step</span></td>
      </tr>
      <tr>
        <td id="L210" class="blob-num js-line-number" data-line-number="210"></td>
        <td id="LC210" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-s1>b2_step</span></td>
      </tr>
      <tr>
        <td id="L211" class="blob-num js-line-number" data-line-number="211"></td>
        <td id="LC211" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f01</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-v>B0</span><span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>*</span><span class=pl-s1>b2_step</span>))</td>
      </tr>
      <tr>
        <td id="L212" class="blob-num js-line-number" data-line-number="212"></td>
        <td id="LC212" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f02</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-v>B1</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span><span class=pl-c1>*</span><span class=pl-s1>b2_step</span>))</td>
      </tr>
      <tr>
        <td id="L213" class="blob-num js-line-number" data-line-number="213"></td>
        <td id="LC213" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f12</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-v>B2</span><span class=pl-c1>*</span><span class=pl-s1>b2_step</span><span class=pl-c1>*</span><span class=pl-s1>b0_step</span>))</td>
      </tr>
      <tr>
        <td id="L214" class="blob-num js-line-number" data-line-number="214"></td>
        <td id="LC214" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>shift_scale_loc</span>(<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>,<span class=pl-s1>expected_vals</span>)</td>
      </tr>
      <tr>
        <td id="L215" class="blob-num js-line-number" data-line-number="215"></td>
        <td id="LC215" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L216" class="blob-num js-line-number" data-line-number="216"></td>
        <td id="LC216" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>cov</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L217" class="blob-num js-line-number" data-line-number="217"></td>
        <td id="LC217" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Establish how many dimensions \hat{f_\beta} has</span></td>
      </tr>
      <tr>
        <td id="L218" class="blob-num js-line-number" data-line-number="218"></td>
        <td id="LC218" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L219" class="blob-num js-line-number" data-line-number="219"></td>
        <td id="LC219" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Call \hat{f_\beta}</span></td>
      </tr>
      <tr>
        <td id="L220" class="blob-num js-line-number" data-line-number="220"></td>
        <td id="LC220" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>f</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L221" class="blob-num js-line-number" data-line-number="221"></td>
        <td id="LC221" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>m</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L222" class="blob-num js-line-number" data-line-number="222"></td>
        <td id="LC222" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Set gridpoints for each axis</span></td>
      </tr>
      <tr>
        <td id="L223" class="blob-num js-line-number" data-line-number="223"></td>
        <td id="LC223" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L224" class="blob-num js-line-number" data-line-number="224"></td>
        <td id="LC224" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L225" class="blob-num js-line-number" data-line-number="225"></td>
        <td id="LC225" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L226" class="blob-num js-line-number" data-line-number="226"></td>
        <td id="LC226" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Set the step size of each axis</span></td>
      </tr>
      <tr>
        <td id="L227" class="blob-num js-line-number" data-line-number="227"></td>
        <td id="LC227" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_step</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>step</span><span class=pl-c1>/</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L228" class="blob-num js-line-number" data-line-number="228"></td>
        <td id="LC228" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1_step</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>step</span><span class=pl-c1>/</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1</span></td>
      </tr>
      <tr>
        <td id="L229" class="blob-num js-line-number" data-line-number="229"></td>
        <td id="LC229" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b2_step</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>step</span><span class=pl-c1>/</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2</span></td>
      </tr>
      <tr>
        <td id="L230" class="blob-num js-line-number" data-line-number="230"></td>
        <td id="LC230" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L231" class="blob-num js-line-number" data-line-number="231"></td>
        <td id="LC231" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>dim</span> <span class=pl-c1>==</span><span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L232" class="blob-num js-line-number" data-line-number="232"></td>
        <td id="LC232" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Reshape \hat{f_\beta} to 2-dimensional form</span></td>
      </tr>
      <tr>
        <td id="L233" class="blob-num js-line-number" data-line-number="233"></td>
        <td id="LC233" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>m</span>,<span class=pl-s1>m</span>)</td>
      </tr>
      <tr>
        <td id="L234" class="blob-num js-line-number" data-line-number="234"></td>
        <td id="LC234" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Initialize the covariance matrix</span></td>
      </tr>
      <tr>
        <td id="L235" class="blob-num js-line-number" data-line-number="235"></td>
        <td id="LC235" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-c1>2</span>,<span class=pl-c1>2</span>))</td>
      </tr>
      <tr>
        <td id="L236" class="blob-num js-line-number" data-line-number="236"></td>
        <td id="LC236" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the marginal distributions</span></td>
      </tr>
      <tr>
        <td id="L237" class="blob-num js-line-number" data-line-number="237"></td>
        <td id="LC237" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f0</span><span class=pl-c1>=</span><span class=pl-s1>shaped</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-s1>b0_step</span></td>
      </tr>
      <tr>
        <td id="L238" class="blob-num js-line-number" data-line-number="238"></td>
        <td id="LC238" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f1</span><span class=pl-c1>=</span><span class=pl-s1>shaped</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-s1>b1_step</span></td>
      </tr>
      <tr>
        <td id="L239" class="blob-num js-line-number" data-line-number="239"></td>
        <td id="LC239" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Assign the variances on the diagonal entries</span></td>
      </tr>
      <tr>
        <td id="L240" class="blob-num js-line-number" data-line-number="240"></td>
        <td id="LC240" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f0</span><span class=pl-c1>*</span>(<span class=pl-v>B0</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>])<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>b0_step</span>)</td>
      </tr>
      <tr>
        <td id="L241" class="blob-num js-line-number" data-line-number="241"></td>
        <td id="LC241" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f1</span><span class=pl-c1>*</span>(<span class=pl-v>B1</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>])<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span>)</td>
      </tr>
      <tr>
        <td id="L242" class="blob-num js-line-number" data-line-number="242"></td>
        <td id="LC242" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Extract the values of \hat{f_\beta} for which b_0 = b_1</span></td>
      </tr>
      <tr>
        <td id="L243" class="blob-num js-line-number" data-line-number="243"></td>
        <td id="LC243" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L244" class="blob-num js-line-number" data-line-number="244"></td>
        <td id="LC244" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L245" class="blob-num js-line-number" data-line-number="245"></td>
        <td id="LC245" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]):</td>
      </tr>
      <tr>
        <td id="L246" class="blob-num js-line-number" data-line-number="246"></td>
        <td id="LC246" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f01</span>.<span class=pl-en>append</span>(<span class=pl-s1>shaped</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L247" class="blob-num js-line-number" data-line-number="247"></td>
        <td id="LC247" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f01</span>)</td>
      </tr>
      <tr>
        <td id="L248" class="blob-num js-line-number" data-line-number="248"></td>
        <td id="LC248" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the covariance</span></td>
      </tr>
      <tr>
        <td id="L249" class="blob-num js-line-number" data-line-number="249"></td>
        <td id="LC249" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f01</span><span class=pl-c1>*</span>(<span class=pl-v>B0</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>])<span class=pl-c1>*</span>(<span class=pl-v>B1</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>])<span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span>)</td>
      </tr>
      <tr>
        <td id="L250" class="blob-num js-line-number" data-line-number="250"></td>
        <td id="LC250" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>1</span>],<span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>val</span>,<span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L251" class="blob-num js-line-number" data-line-number="251"></td>
        <td id="LC251" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>cov_mat</span></td>
      </tr>
      <tr>
        <td id="L252" class="blob-num js-line-number" data-line-number="252"></td>
        <td id="LC252" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L253" class="blob-num js-line-number" data-line-number="253"></td>
        <td id="LC253" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L254" class="blob-num js-line-number" data-line-number="254"></td>
        <td id="LC254" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Reshape \hat{f_\beta} to its 3-dimensional form</span></td>
      </tr>
      <tr>
        <td id="L255" class="blob-num js-line-number" data-line-number="255"></td>
        <td id="LC255" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>m</span>,<span class=pl-s1>m</span>,<span class=pl-s1>m</span>)</td>
      </tr>
      <tr>
        <td id="L256" class="blob-num js-line-number" data-line-number="256"></td>
        <td id="LC256" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># INitialize the covariance matrix</span></td>
      </tr>
      <tr>
        <td id="L257" class="blob-num js-line-number" data-line-number="257"></td>
        <td id="LC257" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-c1>3</span>,<span class=pl-c1>3</span>))</td>
      </tr>
      <tr>
        <td id="L258" class="blob-num js-line-number" data-line-number="258"></td>
        <td id="LC258" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the marginal distributions</span></td>
      </tr>
      <tr>
        <td id="L259" class="blob-num js-line-number" data-line-number="259"></td>
        <td id="LC259" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f12</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>2</span>)<span class=pl-c1>*</span><span class=pl-s1>b0_step</span></td>
      </tr>
      <tr>
        <td id="L260" class="blob-num js-line-number" data-line-number="260"></td>
        <td id="LC260" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f02</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-s1>b1_step</span></td>
      </tr>
      <tr>
        <td id="L261" class="blob-num js-line-number" data-line-number="261"></td>
        <td id="LC261" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>shaped</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-s1>b2_step</span></td>
      </tr>
      <tr>
        <td id="L262" class="blob-num js-line-number" data-line-number="262"></td>
        <td id="LC262" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f0</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f01</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-s1>b1_step</span></td>
      </tr>
      <tr>
        <td id="L263" class="blob-num js-line-number" data-line-number="263"></td>
        <td id="LC263" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f1</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f12</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>*</span><span class=pl-s1>b2_step</span></td>
      </tr>
      <tr>
        <td id="L264" class="blob-num js-line-number" data-line-number="264"></td>
        <td id="LC264" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f2</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f02</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)<span class=pl-c1>*</span><span class=pl-s1>b0_step</span></td>
      </tr>
      <tr>
        <td id="L265" class="blob-num js-line-number" data-line-number="265"></td>
        <td id="LC265" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the variances on the diagonal entries</span></td>
      </tr>
      <tr>
        <td id="L266" class="blob-num js-line-number" data-line-number="266"></td>
        <td id="LC266" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var_00</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f0</span><span class=pl-c1>*</span>(<span class=pl-v>B0</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>])<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L267" class="blob-num js-line-number" data-line-number="267"></td>
        <td id="LC267" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var_11</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f1</span><span class=pl-c1>*</span>(<span class=pl-v>B1</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>])<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L268" class="blob-num js-line-number" data-line-number="268"></td>
        <td id="LC268" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var_22</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f2</span><span class=pl-c1>*</span>(<span class=pl-v>B2</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>2</span>])<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>b2_step</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L269" class="blob-num js-line-number" data-line-number="269"></td>
        <td id="LC269" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>1</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>2</span>][<span class=pl-c1>2</span>] <span class=pl-c1>=</span> <span class=pl-s1>var_00</span>, <span class=pl-s1>var_11</span>, <span class=pl-s1>var_22</span></td>
      </tr>
      <tr>
        <td id="L270" class="blob-num js-line-number" data-line-number="270"></td>
        <td id="LC270" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Extract the values from the appropriate marginal distributions </span></td>
      </tr>
      <tr>
        <td id="L271" class="blob-num js-line-number" data-line-number="271"></td>
        <td id="LC271" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01s</span>,<span class=pl-s1>f02s</span>, <span class=pl-s1>f12s</span> <span class=pl-c1>=</span> [], [], []</td>
      </tr>
      <tr>
        <td id="L272" class="blob-num js-line-number" data-line-number="272"></td>
        <td id="LC272" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L273" class="blob-num js-line-number" data-line-number="273"></td>
        <td id="LC273" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>grid_est</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]):</td>
      </tr>
      <tr>
        <td id="L274" class="blob-num js-line-number" data-line-number="274"></td>
        <td id="LC274" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f01s</span>.<span class=pl-en>append</span>(<span class=pl-s1>f01</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L275" class="blob-num js-line-number" data-line-number="275"></td>
        <td id="LC275" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f02s</span>.<span class=pl-en>append</span>(<span class=pl-s1>f02</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L276" class="blob-num js-line-number" data-line-number="276"></td>
        <td id="LC276" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f12s</span>.<span class=pl-en>append</span>(<span class=pl-s1>f12</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L277" class="blob-num js-line-number" data-line-number="277"></td>
        <td id="LC277" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01s</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f01s</span>)</td>
      </tr>
      <tr>
        <td id="L278" class="blob-num js-line-number" data-line-number="278"></td>
        <td id="LC278" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f02s</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f02s</span>)</td>
      </tr>
      <tr>
        <td id="L279" class="blob-num js-line-number" data-line-number="279"></td>
        <td id="LC279" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f12s</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f12s</span>)</td>
      </tr>
      <tr>
        <td id="L280" class="blob-num js-line-number" data-line-number="280"></td>
        <td id="LC280" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the covariances</span></td>
      </tr>
      <tr>
        <td id="L281" class="blob-num js-line-number" data-line-number="281"></td>
        <td id="LC281" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var01</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f01s</span><span class=pl-c1>*</span>(<span class=pl-v>B0</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>])<span class=pl-c1>*</span>(<span class=pl-v>B1</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>])<span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>*</span><span class=pl-s1>b1_step</span>)</td>
      </tr>
      <tr>
        <td id="L282" class="blob-num js-line-number" data-line-number="282"></td>
        <td id="LC282" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var02</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f02s</span><span class=pl-c1>*</span>(<span class=pl-v>B0</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>])<span class=pl-c1>*</span>(<span class=pl-v>B2</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>2</span>])<span class=pl-c1>*</span><span class=pl-s1>b0_step</span><span class=pl-c1>*</span><span class=pl-s1>b2_step</span>)</td>
      </tr>
      <tr>
        <td id="L283" class="blob-num js-line-number" data-line-number="283"></td>
        <td id="LC283" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var12</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f12s</span><span class=pl-c1>*</span>(<span class=pl-v>B1</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>])<span class=pl-c1>*</span>(<span class=pl-v>B2</span><span class=pl-c1>-</span><span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>2</span>])<span class=pl-c1>*</span><span class=pl-s1>b1_step</span><span class=pl-c1>*</span><span class=pl-s1>b2_step</span>)</td>
      </tr>
      <tr>
        <td id="L284" class="blob-num js-line-number" data-line-number="284"></td>
        <td id="LC284" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>1</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>var01</span>, <span class=pl-s1>var01</span></td>
      </tr>
      <tr>
        <td id="L285" class="blob-num js-line-number" data-line-number="285"></td>
        <td id="LC285" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>2</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>2</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>var02</span>, <span class=pl-s1>var02</span></td>
      </tr>
      <tr>
        <td id="L286" class="blob-num js-line-number" data-line-number="286"></td>
        <td id="LC286" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>2</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>2</span>][<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-s1>var12</span>, <span class=pl-s1>var12</span></td>
      </tr>
      <tr>
        <td id="L287" class="blob-num js-line-number" data-line-number="287"></td>
        <td id="LC287" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>cov_mat</span>        </td>
      </tr>
      <tr>
        <td id="L288" class="blob-num js-line-number" data-line-number="288"></td>
        <td id="LC288" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L289" class="blob-num js-line-number" data-line-number="289"></td>
        <td id="LC289" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-s1>tmatrix</span>:</td>
      </tr>
      <tr>
        <td id="L290" class="blob-num js-line-number" data-line-number="290"></td>
        <td id="LC290" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Class that stores the output of the transmatrix() function. </span></td>
      </tr>
      <tr>
        <td id="L291" class="blob-num js-line-number" data-line-number="291"></td>
        <td id="LC291" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Attributes/arguments for this class:</span></td>
      </tr>
      <tr>
        <td id="L292" class="blob-num js-line-number" data-line-number="292"></td>
        <td id="LC292" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L293" class="blob-num js-line-number" data-line-number="293"></td>
        <td id="LC293" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Tmat - The transformation matrix \mathbf{T} used in the optimzation algorithm, which is generated from </span></td>
      </tr>
      <tr>
        <td id="L294" class="blob-num js-line-number" data-line-number="294"></td>
        <td id="LC294" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the sample observations.</span></td>
      </tr>
      <tr>
        <td id="L295" class="blob-num js-line-number" data-line-number="295"></td>
        <td id="LC295" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L296" class="blob-num js-line-number" data-line-number="296"></td>
        <td id="LC296" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    grid - Returns the grid class which was used to generate the transformation matrix</span></td>
      </tr>
      <tr>
        <td id="L297" class="blob-num js-line-number" data-line-number="297"></td>
        <td id="LC297" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L298" class="blob-num js-line-number" data-line-number="298"></td>
        <td id="LC298" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    scaled_sample -  Returns the scaled and shifted sample. This will return the original sample if the user </span></td>
      </tr>
      <tr>
        <td id="L299" class="blob-num js-line-number" data-line-number="299"></td>
        <td id="LC299" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    chooses the default grid range. Otherwise, it will return a linear transformation of the sample that reflects</span></td>
      </tr>
      <tr>
        <td id="L300" class="blob-num js-line-number" data-line-number="300"></td>
        <td id="LC300" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the change in location and scale of the grid.</span></td>
      </tr>
      <tr>
        <td id="L301" class="blob-num js-line-number" data-line-number="301"></td>
        <td id="LC301" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L302" class="blob-num js-line-number" data-line-number="302"></td>
        <td id="LC302" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    sample - Returns the original sample.</span></td>
      </tr>
      <tr>
        <td id="L303" class="blob-num js-line-number" data-line-number="303"></td>
        <td id="LC303" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L304" class="blob-num js-line-number" data-line-number="304"></td>
        <td id="LC304" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Availabale methods:</span></td>
      </tr>
      <tr>
        <td id="L305" class="blob-num js-line-number" data-line-number="305"></td>
        <td id="LC305" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L306" class="blob-num js-line-number" data-line-number="306"></td>
        <td id="LC306" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    n() - Method that returns the number of rows in Tmat, which corresponds to the sample size.</span></td>
      </tr>
      <tr>
        <td id="L307" class="blob-num js-line-number" data-line-number="307"></td>
        <td id="LC307" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L308" class="blob-num js-line-number" data-line-number="308"></td>
        <td id="LC308" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    m() - Method that returns the number of columns in Tmat, which corresponds to the number of grid points.</span></td>
      </tr>
      <tr>
        <td id="L309" class="blob-num js-line-number" data-line-number="309"></td>
        <td id="LC309" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L310" class="blob-num js-line-number" data-line-number="310"></td>
        <td id="LC310" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>,<span class=pl-v>Tmat</span>,<span class=pl-s1>grid</span>,<span class=pl-s1>scaled_sample</span>,<span class=pl-s1>sample</span>):</td>
      </tr>
      <tr>
        <td id="L311" class="blob-num js-line-number" data-line-number="311"></td>
        <td id="LC311" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-v>Tmat</span>  <span class=pl-c1>=</span> <span class=pl-v>Tmat</span></td>
      </tr>
      <tr>
        <td id="L312" class="blob-num js-line-number" data-line-number="312"></td>
        <td id="LC312" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>grid</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span></td>
      </tr>
      <tr>
        <td id="L313" class="blob-num js-line-number" data-line-number="313"></td>
        <td id="LC313" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>scaled_sample</span> <span class=pl-c1>=</span> <span class=pl-s1>scaled_sample</span></td>
      </tr>
      <tr>
        <td id="L314" class="blob-num js-line-number" data-line-number="314"></td>
        <td id="LC314" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>sample</span> <span class=pl-c1>=</span> <span class=pl-s1>sample</span></td>
      </tr>
      <tr>
        <td id="L315" class="blob-num js-line-number" data-line-number="315"></td>
        <td id="LC315" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L316" class="blob-num js-line-number" data-line-number="316"></td>
        <td id="LC316" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>n</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L317" class="blob-num js-line-number" data-line-number="317"></td>
        <td id="LC317" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-v>Tmat</span>)</td>
      </tr>
      <tr>
        <td id="L318" class="blob-num js-line-number" data-line-number="318"></td>
        <td id="LC318" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L319" class="blob-num js-line-number" data-line-number="319"></td>
        <td id="LC319" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>m</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L320" class="blob-num js-line-number" data-line-number="320"></td>
        <td id="LC320" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-v>Tmat</span>.<span class=pl-v>T</span>)</td>
      </tr>
      <tr>
        <td id="L321" class="blob-num js-line-number" data-line-number="321"></td>
        <td id="LC321" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L322" class="blob-num js-line-number" data-line-number="322"></td>
        <td id="LC322" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-s1>grid_obj</span>: </td>
      </tr>
      <tr>
        <td id="L323" class="blob-num js-line-number" data-line-number="323"></td>
        <td id="LC323" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot;This class is the output of the grid_set() function.</span></td>
      </tr>
      <tr>
        <td id="L324" class="blob-num js-line-number" data-line-number="324"></td>
        <td id="LC324" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Arguments of this class:</span></td>
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      <tr>
        <td id="L325" class="blob-num js-line-number" data-line-number="325"></td>
        <td id="LC325" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L326" class="blob-num js-line-number" data-line-number="326"></td>
        <td id="LC326" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    scale - np.array of constants that reflect the change in scale of the total distance covered by the grid in reference</span></td>
      </tr>
      <tr>
        <td id="L327" class="blob-num js-line-number" data-line-number="327"></td>
        <td id="LC327" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    to the base range of [-5,5] with a interval length of 10.</span></td>
      </tr>
      <tr>
        <td id="L328" class="blob-num js-line-number" data-line-number="328"></td>
        <td id="LC328" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L329" class="blob-num js-line-number" data-line-number="329"></td>
        <td id="LC329" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    shifts - np.array of constants that reflect the change in location of the center of the grid. The base grid is centered </span></td>
      </tr>
      <tr>
        <td id="L330" class="blob-num js-line-number" data-line-number="330"></td>
        <td id="LC330" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    at the origin.</span></td>
      </tr>
      <tr>
        <td id="L331" class="blob-num js-line-number" data-line-number="331"></td>
        <td id="LC331" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L332" class="blob-num js-line-number" data-line-number="332"></td>
        <td id="LC332" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    interval - A list that is converted into a NumPy np.array, that represents an axis of the base grid over which </span></td>
      </tr>
      <tr>
        <td id="L333" class="blob-num js-line-number" data-line-number="333"></td>
        <td id="LC333" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    \hat{f_<span class=pl-cce>\b</span>eta} is estimated over.</span></td>
      </tr>
      <tr>
        <td id="L334" class="blob-num js-line-number" data-line-number="334"></td>
        <td id="LC334" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L335" class="blob-num js-line-number" data-line-number="335"></td>
        <td id="LC335" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    dim - An integer that specifies the dimensionality of the problem.</span></td>
      </tr>
      <tr>
        <td id="L336" class="blob-num js-line-number" data-line-number="336"></td>
        <td id="LC336" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L337" class="blob-num js-line-number" data-line-number="337"></td>
        <td id="LC337" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    step - A float that indicates the step size of the base grid.</span></td>
      </tr>
      <tr>
        <td id="L338" class="blob-num js-line-number" data-line-number="338"></td>
        <td id="LC338" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L339" class="blob-num js-line-number" data-line-number="339"></td>
        <td id="LC339" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    start - A float that indicates the minimum value of the grid.</span></td>
      </tr>
      <tr>
        <td id="L340" class="blob-num js-line-number" data-line-number="340"></td>
        <td id="LC340" class="blob-code blob-code-inner js-file-line"><span class=pl-s>     </span></td>
      </tr>
      <tr>
        <td id="L341" class="blob-num js-line-number" data-line-number="341"></td>
        <td id="LC341" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    end - A float that indicates the maximum of the grid.</span></td>
      </tr>
      <tr>
        <td id="L342" class="blob-num js-line-number" data-line-number="342"></td>
        <td id="LC342" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L343" class="blob-num js-line-number" data-line-number="343"></td>
        <td id="LC343" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>,<span class=pl-s1>scale</span>,<span class=pl-s1>shifts</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>dim</span>,<span class=pl-s1>step</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>):</td>
      </tr>
      <tr>
        <td id="L344" class="blob-num js-line-number" data-line-number="344"></td>
        <td id="LC344" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>interval</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>interval</span>)</td>
      </tr>
      <tr>
        <td id="L345" class="blob-num js-line-number" data-line-number="345"></td>
        <td id="LC345" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L346" class="blob-num js-line-number" data-line-number="346"></td>
        <td id="LC346" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>step</span> <span class=pl-c1>=</span> <span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L347" class="blob-num js-line-number" data-line-number="347"></td>
        <td id="LC347" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>start</span> <span class=pl-c1>=</span> <span class=pl-s1>start</span></td>
      </tr>
      <tr>
        <td id="L348" class="blob-num js-line-number" data-line-number="348"></td>
        <td id="LC348" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>end</span> <span class=pl-c1>=</span> <span class=pl-s1>end</span></td>
      </tr>
      <tr>
        <td id="L349" class="blob-num js-line-number" data-line-number="349"></td>
        <td id="LC349" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>scale</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span></td>
      </tr>
      <tr>
        <td id="L350" class="blob-num js-line-number" data-line-number="350"></td>
        <td id="LC350" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b0</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L351" class="blob-num js-line-number" data-line-number="351"></td>
        <td id="LC351" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b1</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L352" class="blob-num js-line-number" data-line-number="352"></td>
        <td id="LC352" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b2</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L353" class="blob-num js-line-number" data-line-number="353"></td>
        <td id="LC353" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Computes for the scaled and shifted axes</span></td>
      </tr>
      <tr>
        <td id="L354" class="blob-num js-line-number" data-line-number="354"></td>
        <td id="LC354" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b0_range</span> <span class=pl-c1>=</span>(<span class=pl-s1>interval</span>)<span class=pl-c1>/</span><span class=pl-s1>scale</span>[<span class=pl-c1>0</span>]<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L355" class="blob-num js-line-number" data-line-number="355"></td>
        <td id="LC355" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b1_range</span> <span class=pl-c1>=</span>(<span class=pl-s1>interval</span>)<span class=pl-c1>/</span><span class=pl-s1>scale</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L356" class="blob-num js-line-number" data-line-number="356"></td>
        <td id="LC356" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b2_range</span> <span class=pl-c1>=</span>(<span class=pl-s1>interval</span>)<span class=pl-c1>/</span><span class=pl-s1>scale</span>[<span class=pl-c1>2</span>]<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>shifts</span>[<span class=pl-c1>2</span>])</td>
      </tr>
      <tr>
        <td id="L357" class="blob-num js-line-number" data-line-number="357"></td>
        <td id="LC357" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Computes for grid-points over which \hat{f_\beta} is estimated over. The actual grid points are not the</span></td>
      </tr>
      <tr>
        <td id="L358" class="blob-num js-line-number" data-line-number="358"></td>
        <td id="LC358" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># points in the axis ranges, but the mid-points of each axis since the method estimates the value of </span></td>
      </tr>
      <tr>
        <td id="L359" class="blob-num js-line-number" data-line-number="359"></td>
        <td id="LC359" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># \hat{f_\beta} at the middle of the grid boxes.</span></td>
      </tr>
      <tr>
        <td id="L360" class="blob-num js-line-number" data-line-number="360"></td>
        <td id="LC360" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b0_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([(<span class=pl-s1>self</span>.<span class=pl-s1>b0_range</span>[<span class=pl-s1>i</span><span class=pl-c1>-</span><span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>b0_range</span>[<span class=pl-s1>i</span>])<span class=pl-c1>/</span><span class=pl-c1>2</span> <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>1</span>,<span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>b0_range</span>))])</td>
      </tr>
      <tr>
        <td id="L361" class="blob-num js-line-number" data-line-number="361"></td>
        <td id="LC361" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b1_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([(<span class=pl-s1>self</span>.<span class=pl-s1>b1_range</span>[<span class=pl-s1>i</span><span class=pl-c1>-</span><span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>b1_range</span>[<span class=pl-s1>i</span>])<span class=pl-c1>/</span><span class=pl-c1>2</span> <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>1</span>,<span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>b1_range</span>))])</td>
      </tr>
      <tr>
        <td id="L362" class="blob-num js-line-number" data-line-number="362"></td>
        <td id="LC362" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b2_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([(<span class=pl-s1>self</span>.<span class=pl-s1>b2_range</span>[<span class=pl-s1>i</span><span class=pl-c1>-</span><span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>b2_range</span>[<span class=pl-s1>i</span>])<span class=pl-c1>/</span><span class=pl-c1>2</span> <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>1</span>,<span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>b2_range</span>))])</td>
      </tr>
      <tr>
        <td id="L363" class="blob-num js-line-number" data-line-number="363"></td>
        <td id="LC363" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>shifts</span> <span class=pl-c1>=</span> <span class=pl-s1>shifts</span></td>
      </tr>
      <tr>
        <td id="L364" class="blob-num js-line-number" data-line-number="364"></td>
        <td id="LC364" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>scaled_steps</span> <span class=pl-c1>=</span> <span class=pl-s1>step</span><span class=pl-c1>/</span><span class=pl-s1>scale</span></td>
      </tr>
      <tr>
        <td id="L365" class="blob-num js-line-number" data-line-number="365"></td>
        <td id="LC365" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L366" class="blob-num js-line-number" data-line-number="366"></td>
        <td id="LC366" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>ks</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L367" class="blob-num js-line-number" data-line-number="367"></td>
        <td id="LC367" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>k</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L368" class="blob-num js-line-number" data-line-number="368"></td>
        <td id="LC368" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>m</span> <span class=pl-c1>=</span> <span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>interval</span>)</td>
      </tr>
      <tr>
        <td id="L369" class="blob-num js-line-number" data-line-number="369"></td>
        <td id="LC369" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L370" class="blob-num js-line-number" data-line-number="370"></td>
        <td id="LC370" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>self</span>.<span class=pl-s1>dim</span>):</td>
      </tr>
      <tr>
        <td id="L371" class="blob-num js-line-number" data-line-number="371"></td>
        <td id="LC371" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span>.<span class=pl-en>append</span>(<span class=pl-en>int</span>((<span class=pl-s1>m</span><span class=pl-c1>-</span><span class=pl-c1>1</span>)<span class=pl-c1>**</span>(<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-c1>1</span>)))</td>
      </tr>
      <tr>
        <td id="L372" class="blob-num js-line-number" data-line-number="372"></td>
        <td id="LC372" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>k</span></td>
      </tr>
      <tr>
        <td id="L373" class="blob-num js-line-number" data-line-number="373"></td>
        <td id="LC373" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L374" class="blob-num js-line-number" data-line-number="374"></td>
        <td id="LC374" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>numgridpoints</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L375" class="blob-num js-line-number" data-line-number="375"></td>
        <td id="LC375" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> (<span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>interval</span>)<span class=pl-c1>-</span><span class=pl-c1>1</span>)<span class=pl-c1>**</span><span class=pl-s1>self</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L376" class="blob-num js-line-number" data-line-number="376"></td>
        <td id="LC376" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L377" class="blob-num js-line-number" data-line-number="377"></td>
        <td id="LC377" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>transmatrix</span>(<span class=pl-s1>xy_sample</span>,<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L378" class="blob-num js-line-number" data-line-number="378"></td>
        <td id="LC378" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function just serves as a wrapper function for the 2-d and 3-d implementations of the algorithm</span></td>
      </tr>
      <tr>
        <td id="L379" class="blob-num js-line-number" data-line-number="379"></td>
        <td id="LC379" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    used to generate the transformation matrix.</span></td>
      </tr>
      <tr>
        <td id="L380" class="blob-num js-line-number" data-line-number="380"></td>
        <td id="LC380" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L381" class="blob-num js-line-number" data-line-number="381"></td>
        <td id="LC381" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>scaled_sample</span> <span class=pl-c1>=</span> <span class=pl-en>scale_sample</span>(<span class=pl-s1>xy_sample</span>,<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L382" class="blob-num js-line-number" data-line-number="382"></td>
        <td id="LC382" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sample</span> <span class=pl-c1>=</span> <span class=pl-s1>xy_sample</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L383" class="blob-num js-line-number" data-line-number="383"></td>
        <td id="LC383" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>samples</span> <span class=pl-c1>=</span> <span class=pl-en>sample_obj</span>(<span class=pl-s1>scaled_sample</span><span class=pl-c1>=</span><span class=pl-s1>scaled_sample</span>,<span class=pl-s1>sample</span><span class=pl-c1>=</span><span class=pl-s1>sample</span>)</td>
      </tr>
      <tr>
        <td id="L384" class="blob-num js-line-number" data-line-number="384"></td>
        <td id="LC384" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L385" class="blob-num js-line-number" data-line-number="385"></td>
        <td id="LC385" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>grid</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L386" class="blob-num js-line-number" data-line-number="386"></td>
        <td id="LC386" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>tmatrix</span> <span class=pl-c1>=</span> <span class=pl-en>transmatrix_2d</span>(<span class=pl-s1>samples</span>,<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L387" class="blob-num js-line-number" data-line-number="387"></td>
        <td id="LC387" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>tmatrix</span></td>
      </tr>
      <tr>
        <td id="L388" class="blob-num js-line-number" data-line-number="388"></td>
        <td id="LC388" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L389" class="blob-num js-line-number" data-line-number="389"></td>
        <td id="LC389" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L390" class="blob-num js-line-number" data-line-number="390"></td>
        <td id="LC390" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>tmatrix</span> <span class=pl-c1>=</span> <span class=pl-en>transmatrix_3d</span>(<span class=pl-s1>samples</span>,<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L391" class="blob-num js-line-number" data-line-number="391"></td>
        <td id="LC391" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>tmatrix</span></td>
      </tr>
      <tr>
        <td id="L392" class="blob-num js-line-number" data-line-number="392"></td>
        <td id="LC392" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L393" class="blob-num js-line-number" data-line-number="393"></td>
        <td id="LC393" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-v>SplineResult</span>:</td>
      </tr>
      <tr>
        <td id="L394" class="blob-num js-line-number" data-line-number="394"></td>
        <td id="LC394" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>, <span class=pl-s1>f</span>,<span class=pl-s1>f_shaped</span>,<span class=pl-s1>joint_marginals</span>,<span class=pl-s1>spline_grid</span>):</td>
      </tr>
      <tr>
        <td id="L395" class="blob-num js-line-number" data-line-number="395"></td>
        <td id="LC395" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>f</span> <span class=pl-c1>=</span> <span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L396" class="blob-num js-line-number" data-line-number="396"></td>
        <td id="LC396" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>f_shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>f_shaped</span></td>
      </tr>
      <tr>
        <td id="L397" class="blob-num js-line-number" data-line-number="397"></td>
        <td id="LC397" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span> <span class=pl-c1>=</span> <span class=pl-s1>joint_marginals</span></td>
      </tr>
      <tr>
        <td id="L398" class="blob-num js-line-number" data-line-number="398"></td>
        <td id="LC398" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>grid</span> <span class=pl-c1>=</span> <span class=pl-s1>spline_grid</span></td>
      </tr>
      <tr>
        <td id="L399" class="blob-num js-line-number" data-line-number="399"></td>
        <td id="LC399" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>spline_grid</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L400" class="blob-num js-line-number" data-line-number="400"></td>
        <td id="LC400" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>num_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>spline_grid</span>.<span class=pl-s1>num_grid_points</span></td>
      </tr>
      <tr>
        <td id="L401" class="blob-num js-line-number" data-line-number="401"></td>
        <td id="LC401" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L402" class="blob-num js-line-number" data-line-number="402"></td>
        <td id="LC402" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>maxval</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L403" class="blob-num js-line-number" data-line-number="403"></td>
        <td id="LC403" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Extracts the maximum value of \hat{f_\beta}</span></td>
      </tr>
      <tr>
        <td id="L404" class="blob-num js-line-number" data-line-number="404"></td>
        <td id="LC404" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>mval</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>max</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L405" class="blob-num js-line-number" data-line-number="405"></td>
        <td id="LC405" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Get the index of the maximum value of \hat{f_\beta} from its m x 1 np.array-form</span></td>
      </tr>
      <tr>
        <td id="L406" class="blob-num js-line-number" data-line-number="406"></td>
        <td id="LC406" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span> <span class=pl-c1>==</span> <span class=pl-s1>np</span>.<span class=pl-en>max</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>))[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L407" class="blob-num js-line-number" data-line-number="407"></td>
        <td id="LC407" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Creates the new intervals which corresponds to center of the individual grid-boxes or cubes.</span></td>
      </tr>
      <tr>
        <td id="L408" class="blob-num js-line-number" data-line-number="408"></td>
        <td id="LC408" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L409" class="blob-num js-line-number" data-line-number="409"></td>
        <td id="LC409" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L410" class="blob-num js-line-number" data-line-number="410"></td>
        <td id="LC410" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L411" class="blob-num js-line-number" data-line-number="411"></td>
        <td id="LC411" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L412" class="blob-num js-line-number" data-line-number="412"></td>
        <td id="LC412" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L413" class="blob-num js-line-number" data-line-number="413"></td>
        <td id="LC413" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Converts the index i obtained previously into grid locations based on the 2-dimensional np.array.</span></td>
      </tr>
      <tr>
        <td id="L414" class="blob-num js-line-number" data-line-number="414"></td>
        <td id="LC414" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L415" class="blob-num js-line-number" data-line-number="415"></td>
        <td id="LC415" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L416" class="blob-num js-line-number" data-line-number="416"></td>
        <td id="LC416" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>x1</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span> <span class=pl-c1>/</span> <span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L417" class="blob-num js-line-number" data-line-number="417"></td>
        <td id="LC417" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L418" class="blob-num js-line-number" data-line-number="418"></td>
        <td id="LC418" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>x2</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>i</span> <span class=pl-c1>%</span> <span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L419" class="blob-num js-line-number" data-line-number="419"></td>
        <td id="LC419" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L420" class="blob-num js-line-number" data-line-number="420"></td>
        <td id="LC420" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>], <span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]]</td>
      </tr>
      <tr>
        <td id="L421" class="blob-num js-line-number" data-line-number="421"></td>
        <td id="LC421" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> [<span class=pl-s1>mval</span>, <span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L422" class="blob-num js-line-number" data-line-number="422"></td>
        <td id="LC422" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L423" class="blob-num js-line-number" data-line-number="423"></td>
        <td id="LC423" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>], <span class=pl-v>B1</span>[<span class=pl-s1>x2</span>]]</td>
      </tr>
      <tr>
        <td id="L424" class="blob-num js-line-number" data-line-number="424"></td>
        <td id="LC424" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> [<span class=pl-s1>mval</span>, <span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L425" class="blob-num js-line-number" data-line-number="425"></td>
        <td id="LC425" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L426" class="blob-num js-line-number" data-line-number="426"></td>
        <td id="LC426" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L427" class="blob-num js-line-number" data-line-number="427"></td>
        <td id="LC427" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Converts the index i obtained previously into grid locations based on the 3-dimensional np.array.</span></td>
      </tr>
      <tr>
        <td id="L428" class="blob-num js-line-number" data-line-number="428"></td>
        <td id="LC428" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L429" class="blob-num js-line-number" data-line-number="429"></td>
        <td id="LC429" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L430" class="blob-num js-line-number" data-line-number="430"></td>
        <td id="LC430" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&gt;</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L431" class="blob-num js-line-number" data-line-number="431"></td>
        <td id="LC431" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L432" class="blob-num js-line-number" data-line-number="432"></td>
        <td id="LC432" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>x1</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>i</span> <span class=pl-c1>%</span> <span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L433" class="blob-num js-line-number" data-line-number="433"></td>
        <td id="LC433" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L434" class="blob-num js-line-number" data-line-number="434"></td>
        <td id="LC434" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>x2</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-en>int</span>(<span class=pl-s1>i</span> <span class=pl-c1>%</span> <span class=pl-s1>k2</span>) <span class=pl-c1>/</span> <span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L435" class="blob-num js-line-number" data-line-number="435"></td>
        <td id="LC435" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Gets index based on third axis</span></td>
      </tr>
      <tr>
        <td id="L436" class="blob-num js-line-number" data-line-number="436"></td>
        <td id="LC436" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>x3</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span> <span class=pl-c1>/</span> <span class=pl-s1>k2</span>))</td>
      </tr>
      <tr>
        <td id="L437" class="blob-num js-line-number" data-line-number="437"></td>
        <td id="LC437" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L438" class="blob-num js-line-number" data-line-number="438"></td>
        <td id="LC438" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>], <span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>], <span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L439" class="blob-num js-line-number" data-line-number="439"></td>
        <td id="LC439" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>return</span> [<span class=pl-s1>mval</span>, <span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L440" class="blob-num js-line-number" data-line-number="440"></td>
        <td id="LC440" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L441" class="blob-num js-line-number" data-line-number="441"></td>
        <td id="LC441" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>], <span class=pl-v>B1</span>[<span class=pl-s1>x2</span>], <span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L442" class="blob-num js-line-number" data-line-number="442"></td>
        <td id="LC442" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>return</span> [<span class=pl-s1>mval</span>, <span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L443" class="blob-num js-line-number" data-line-number="443"></td>
        <td id="LC443" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L444" class="blob-num js-line-number" data-line-number="444"></td>
        <td id="LC444" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L445" class="blob-num js-line-number" data-line-number="445"></td>
        <td id="LC445" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-c1>0</span>], <span class=pl-v>B1</span>[<span class=pl-c1>0</span>], <span class=pl-v>B2</span>[<span class=pl-c1>0</span>]]</td>
      </tr>
      <tr>
        <td id="L446" class="blob-num js-line-number" data-line-number="446"></td>
        <td id="LC446" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> [<span class=pl-s1>mval</span>, <span class=pl-s1>loc</span>]</td>
      </tr>
      <tr>
        <td id="L447" class="blob-num js-line-number" data-line-number="447"></td>
        <td id="LC447" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L448" class="blob-num js-line-number" data-line-number="448"></td>
        <td id="LC448" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>mode</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L449" class="blob-num js-line-number" data-line-number="449"></td>
        <td id="LC449" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Initialize the list to append possible local maxima to</span></td>
      </tr>
      <tr>
        <td id="L450" class="blob-num js-line-number" data-line-number="450"></td>
        <td id="LC450" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>modes</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L451" class="blob-num js-line-number" data-line-number="451"></td>
        <td id="LC451" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L452" class="blob-num js-line-number" data-line-number="452"></td>
        <td id="LC452" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L453" class="blob-num js-line-number" data-line-number="453"></td>
        <td id="LC453" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L454" class="blob-num js-line-number" data-line-number="454"></td>
        <td id="LC454" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L455" class="blob-num js-line-number" data-line-number="455"></td>
        <td id="LC455" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L456" class="blob-num js-line-number" data-line-number="456"></td>
        <td id="LC456" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L457" class="blob-num js-line-number" data-line-number="457"></td>
        <td id="LC457" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L458" class="blob-num js-line-number" data-line-number="458"></td>
        <td id="LC458" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Index adjustments to get neighboring points for a 2-dimensional np.array</span></td>
      </tr>
      <tr>
        <td id="L459" class="blob-num js-line-number" data-line-number="459"></td>
        <td id="LC459" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>neighbor_ks</span> <span class=pl-c1>=</span> [<span class=pl-c1>-</span><span class=pl-c1>1</span>, <span class=pl-c1>1</span>, <span class=pl-c1>-</span><span class=pl-s1>k</span>, <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>), <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>), <span class=pl-s1>k</span>, <span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>, <span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L460" class="blob-num js-line-number" data-line-number="460"></td>
        <td id="LC460" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L461" class="blob-num js-line-number" data-line-number="461"></td>
        <td id="LC461" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>, <span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>)):</td>
      </tr>
      <tr>
        <td id="L462" class="blob-num js-line-number" data-line-number="462"></td>
        <td id="LC462" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L463" class="blob-num js-line-number" data-line-number="463"></td>
        <td id="LC463" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>neighbor_ks</span>:</td>
      </tr>
      <tr>
        <td id="L464" class="blob-num js-line-number" data-line-number="464"></td>
        <td id="LC464" class="blob-code blob-code-inner js-file-line">                    <span class=pl-c># The try / pass here is necessary in case f[i] does not have</span></td>
      </tr>
      <tr>
        <td id="L465" class="blob-num js-line-number" data-line-number="465"></td>
        <td id="LC465" class="blob-code blob-code-inner js-file-line">                    <span class=pl-c># a neighboring point in some directions</span></td>
      </tr>
      <tr>
        <td id="L466" class="blob-num js-line-number" data-line-number="466"></td>
        <td id="LC466" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>try</span>:</td>
      </tr>
      <tr>
        <td id="L467" class="blob-num js-line-number" data-line-number="467"></td>
        <td id="LC467" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>neighbors</span>.<span class=pl-en>append</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span> <span class=pl-c1>+</span> <span class=pl-s1>j</span>])</td>
      </tr>
      <tr>
        <td id="L468" class="blob-num js-line-number" data-line-number="468"></td>
        <td id="LC468" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>except</span>:</td>
      </tr>
      <tr>
        <td id="L469" class="blob-num js-line-number" data-line-number="469"></td>
        <td id="LC469" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>pass</span></td>
      </tr>
      <tr>
        <td id="L470" class="blob-num js-line-number" data-line-number="470"></td>
        <td id="LC470" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>neighbors</span>)</td>
      </tr>
      <tr>
        <td id="L471" class="blob-num js-line-number" data-line-number="471"></td>
        <td id="LC471" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Check if there are any neighboring values to f[i] that are greater</span></td>
      </tr>
      <tr>
        <td id="L472" class="blob-num js-line-number" data-line-number="472"></td>
        <td id="LC472" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>neighbors</span> <span class=pl-c1>&gt;</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L473" class="blob-num js-line-number" data-line-number="473"></td>
        <td id="LC473" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L474" class="blob-num js-line-number" data-line-number="474"></td>
        <td id="LC474" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>val</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L475" class="blob-num js-line-number" data-line-number="475"></td>
        <td id="LC475" class="blob-code blob-code-inner js-file-line">                    <span class=pl-c># This case happens when there are no neighboring points that are greater</span></td>
      </tr>
      <tr>
        <td id="L476" class="blob-num js-line-number" data-line-number="476"></td>
        <td id="LC476" class="blob-code blob-code-inner js-file-line">                    <span class=pl-c># Which means f[i] is a local maximum</span></td>
      </tr>
      <tr>
        <td id="L477" class="blob-num js-line-number" data-line-number="477"></td>
        <td id="LC477" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&gt;</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L478" class="blob-num js-line-number" data-line-number="478"></td>
        <td id="LC478" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c># Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L479" class="blob-num js-line-number" data-line-number="479"></td>
        <td id="LC479" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x1</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span> <span class=pl-c1>/</span> <span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L480" class="blob-num js-line-number" data-line-number="480"></td>
        <td id="LC480" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c># Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L481" class="blob-num js-line-number" data-line-number="481"></td>
        <td id="LC481" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x2</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>i</span> <span class=pl-c1>%</span> <span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L482" class="blob-num js-line-number" data-line-number="482"></td>
        <td id="LC482" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L483" class="blob-num js-line-number" data-line-number="483"></td>
        <td id="LC483" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>], <span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]]</td>
      </tr>
      <tr>
        <td id="L484" class="blob-num js-line-number" data-line-number="484"></td>
        <td id="LC484" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>], <span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L485" class="blob-num js-line-number" data-line-number="485"></td>
        <td id="LC485" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L486" class="blob-num js-line-number" data-line-number="486"></td>
        <td id="LC486" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>], <span class=pl-v>B1</span>[<span class=pl-s1>x2</span>]]</td>
      </tr>
      <tr>
        <td id="L487" class="blob-num js-line-number" data-line-number="487"></td>
        <td id="LC487" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>], <span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L488" class="blob-num js-line-number" data-line-number="488"></td>
        <td id="LC488" class="blob-code blob-code-inner js-file-line">                            </td>
      </tr>
      <tr>
        <td id="L489" class="blob-num js-line-number" data-line-number="489"></td>
        <td id="LC489" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L490" class="blob-num js-line-number" data-line-number="490"></td>
        <td id="LC490" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-c1>0</span>], <span class=pl-v>B1</span>[<span class=pl-c1>0</span>]]</td>
      </tr>
      <tr>
        <td id="L491" class="blob-num js-line-number" data-line-number="491"></td>
        <td id="LC491" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>], <span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L492" class="blob-num js-line-number" data-line-number="492"></td>
        <td id="LC492" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>modes</span>.<span class=pl-en>sort</span>(<span class=pl-s1>reverse</span><span class=pl-c1>=</span><span class=pl-c1>True</span>)</td>
      </tr>
      <tr>
        <td id="L493" class="blob-num js-line-number" data-line-number="493"></td>
        <td id="LC493" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L494" class="blob-num js-line-number" data-line-number="494"></td>
        <td id="LC494" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>modes</span>[:<span class=pl-c1>6</span>]</td>
      </tr>
      <tr>
        <td id="L495" class="blob-num js-line-number" data-line-number="495"></td>
        <td id="LC495" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L496" class="blob-num js-line-number" data-line-number="496"></td>
        <td id="LC496" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L497" class="blob-num js-line-number" data-line-number="497"></td>
        <td id="LC497" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L498" class="blob-num js-line-number" data-line-number="498"></td>
        <td id="LC498" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L499" class="blob-num js-line-number" data-line-number="499"></td>
        <td id="LC499" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Index adjustments to get neighboring points for a 3-dimensional np.array</span></td>
      </tr>
      <tr>
        <td id="L500" class="blob-num js-line-number" data-line-number="500"></td>
        <td id="LC500" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>neighbor_ks</span> <span class=pl-c1>=</span> [<span class=pl-c1>-</span><span class=pl-c1>1</span>, <span class=pl-c1>1</span>, <span class=pl-c1>-</span><span class=pl-s1>k</span>, <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>), <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>), <span class=pl-s1>k</span>, <span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>, <span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>, <span class=pl-c1>-</span><span class=pl-c1>1</span> <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-c1>1</span> <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-c1>-</span><span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>) <span class=pl-c1>-</span> <span class=pl-s1>k2</span>,</td>
      </tr>
      <tr>
        <td id="L501" class="blob-num js-line-number" data-line-number="501"></td>
        <td id="LC501" class="blob-code blob-code-inner js-file-line">                           <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>) <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span> <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span> <span class=pl-c1>-</span> <span class=pl-s1>k2</span>, <span class=pl-c1>-</span><span class=pl-c1>1</span> <span class=pl-c1>+</span> <span class=pl-s1>k2</span>, <span class=pl-c1>1</span> <span class=pl-c1>+</span> <span class=pl-s1>k2</span>, <span class=pl-c1>-</span><span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-s1>k2</span>, <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>) <span class=pl-c1>+</span> <span class=pl-s1>k2</span>,</td>
      </tr>
      <tr>
        <td id="L502" class="blob-num js-line-number" data-line-number="502"></td>
        <td id="LC502" class="blob-code blob-code-inner js-file-line">                           <span class=pl-c1>-</span>(<span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>) <span class=pl-c1>+</span> <span class=pl-s1>k2</span>, <span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-s1>k2</span>, <span class=pl-s1>k</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span> <span class=pl-c1>+</span> <span class=pl-s1>k2</span>, <span class=pl-s1>k</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span> <span class=pl-c1>+</span> <span class=pl-s1>k2</span>]</td>
      </tr>
      <tr>
        <td id="L503" class="blob-num js-line-number" data-line-number="503"></td>
        <td id="LC503" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L504" class="blob-num js-line-number" data-line-number="504"></td>
        <td id="LC504" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>, <span class=pl-en>len</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>)):</td>
      </tr>
      <tr>
        <td id="L505" class="blob-num js-line-number" data-line-number="505"></td>
        <td id="LC505" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L506" class="blob-num js-line-number" data-line-number="506"></td>
        <td id="LC506" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>neighbor_ks</span>:</td>
      </tr>
      <tr>
        <td id="L507" class="blob-num js-line-number" data-line-number="507"></td>
        <td id="LC507" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>try</span>:</td>
      </tr>
      <tr>
        <td id="L508" class="blob-num js-line-number" data-line-number="508"></td>
        <td id="LC508" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>neighbors</span>.<span class=pl-en>append</span>(<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span> <span class=pl-c1>+</span> <span class=pl-s1>j</span>])</td>
      </tr>
      <tr>
        <td id="L509" class="blob-num js-line-number" data-line-number="509"></td>
        <td id="LC509" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>except</span>:</td>
      </tr>
      <tr>
        <td id="L510" class="blob-num js-line-number" data-line-number="510"></td>
        <td id="LC510" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>pass</span></td>
      </tr>
      <tr>
        <td id="L511" class="blob-num js-line-number" data-line-number="511"></td>
        <td id="LC511" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>neighbors</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>neighbors</span>)</td>
      </tr>
      <tr>
        <td id="L512" class="blob-num js-line-number" data-line-number="512"></td>
        <td id="LC512" class="blob-code blob-code-inner js-file-line">                <span class=pl-c># Check if there are any neighboring values to f[i] that are greater</span></td>
      </tr>
      <tr>
        <td id="L513" class="blob-num js-line-number" data-line-number="513"></td>
        <td id="LC513" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>neighbors</span> <span class=pl-c1>&gt;</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L514" class="blob-num js-line-number" data-line-number="514"></td>
        <td id="LC514" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L515" class="blob-num js-line-number" data-line-number="515"></td>
        <td id="LC515" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>val</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L516" class="blob-num js-line-number" data-line-number="516"></td>
        <td id="LC516" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&gt;</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L517" class="blob-num js-line-number" data-line-number="517"></td>
        <td id="LC517" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c># Gets index based on first axis</span></td>
      </tr>
      <tr>
        <td id="L518" class="blob-num js-line-number" data-line-number="518"></td>
        <td id="LC518" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x1</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>i</span> <span class=pl-c1>%</span> <span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L519" class="blob-num js-line-number" data-line-number="519"></td>
        <td id="LC519" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c># Gets index based on second axis</span></td>
      </tr>
      <tr>
        <td id="L520" class="blob-num js-line-number" data-line-number="520"></td>
        <td id="LC520" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x2</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-en>int</span>(<span class=pl-s1>i</span> <span class=pl-c1>%</span> <span class=pl-s1>k2</span>) <span class=pl-c1>/</span> <span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L521" class="blob-num js-line-number" data-line-number="521"></td>
        <td id="LC521" class="blob-code blob-code-inner js-file-line">                        <span class=pl-c># Gets index based on third axis</span></td>
      </tr>
      <tr>
        <td id="L522" class="blob-num js-line-number" data-line-number="522"></td>
        <td id="LC522" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>x3</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>floor</span>(<span class=pl-s1>i</span> <span class=pl-c1>/</span> <span class=pl-s1>k2</span>))</td>
      </tr>
      <tr>
        <td id="L523" class="blob-num js-line-number" data-line-number="523"></td>
        <td id="LC523" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>if</span> <span class=pl-s1>x2</span> <span class=pl-c1>==</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L524" class="blob-num js-line-number" data-line-number="524"></td>
        <td id="LC524" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span> <span class=pl-c1>-</span> <span class=pl-c1>1</span>], <span class=pl-v>B1</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>], <span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L525" class="blob-num js-line-number" data-line-number="525"></td>
        <td id="LC525" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>], <span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L526" class="blob-num js-line-number" data-line-number="526"></td>
        <td id="LC526" class="blob-code blob-code-inner js-file-line">                        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L527" class="blob-num js-line-number" data-line-number="527"></td>
        <td id="LC527" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-s1>x1</span>], <span class=pl-v>B1</span>[<span class=pl-s1>x2</span>], <span class=pl-v>B2</span>[<span class=pl-s1>x3</span>]]</td>
      </tr>
      <tr>
        <td id="L528" class="blob-num js-line-number" data-line-number="528"></td>
        <td id="LC528" class="blob-code blob-code-inner js-file-line">                            <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>], <span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L529" class="blob-num js-line-number" data-line-number="529"></td>
        <td id="LC529" class="blob-code blob-code-inner js-file-line">                            </td>
      </tr>
      <tr>
        <td id="L530" class="blob-num js-line-number" data-line-number="530"></td>
        <td id="LC530" class="blob-code blob-code-inner js-file-line">                    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L531" class="blob-num js-line-number" data-line-number="531"></td>
        <td id="LC531" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>loc</span> <span class=pl-c1>=</span> [<span class=pl-v>B0</span>[<span class=pl-c1>0</span>], <span class=pl-v>B1</span>[<span class=pl-c1>0</span>], <span class=pl-v>B2</span>[<span class=pl-c1>0</span>]]</td>
      </tr>
      <tr>
        <td id="L532" class="blob-num js-line-number" data-line-number="532"></td>
        <td id="LC532" class="blob-code blob-code-inner js-file-line">                        <span class=pl-s1>modes</span>.<span class=pl-en>append</span>([<span class=pl-s1>self</span>.<span class=pl-s1>f</span>[<span class=pl-s1>i</span>], <span class=pl-s1>loc</span>])</td>
      </tr>
      <tr>
        <td id="L533" class="blob-num js-line-number" data-line-number="533"></td>
        <td id="LC533" class="blob-code blob-code-inner js-file-line">                        </td>
      </tr>
      <tr>
        <td id="L534" class="blob-num js-line-number" data-line-number="534"></td>
        <td id="LC534" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>modes</span>.<span class=pl-en>sort</span>(<span class=pl-s1>reverse</span><span class=pl-c1>=</span><span class=pl-c1>True</span>)</td>
      </tr>
      <tr>
        <td id="L535" class="blob-num js-line-number" data-line-number="535"></td>
        <td id="LC535" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>modes</span>[:<span class=pl-c1>6</span>]</td>
      </tr>
      <tr>
        <td id="L536" class="blob-num js-line-number" data-line-number="536"></td>
        <td id="LC536" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L537" class="blob-num js-line-number" data-line-number="537"></td>
        <td id="LC537" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>ev</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L538" class="blob-num js-line-number" data-line-number="538"></td>
        <td id="LC538" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Creates the new intervals which corresponds to center of the individual grid-boxes or cubes.</span></td>
      </tr>
      <tr>
        <td id="L539" class="blob-num js-line-number" data-line-number="539"></td>
        <td id="LC539" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> (<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span><span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>])<span class=pl-c1>*</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L540" class="blob-num js-line-number" data-line-number="540"></td>
        <td id="LC540" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> (<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span><span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>])<span class=pl-c1>*</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1</span></td>
      </tr>
      <tr>
        <td id="L541" class="blob-num js-line-number" data-line-number="541"></td>
        <td id="LC541" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> (<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span><span class=pl-c1>+</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>2</span>])<span class=pl-c1>*</span><span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2</span></td>
      </tr>
      <tr>
        <td id="L542" class="blob-num js-line-number" data-line-number="542"></td>
        <td id="LC542" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Initialize the list for expected values</span></td>
      </tr>
      <tr>
        <td id="L543" class="blob-num js-line-number" data-line-number="543"></td>
        <td id="LC543" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>expected_vals</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L544" class="blob-num js-line-number" data-line-number="544"></td>
        <td id="LC544" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>m</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L545" class="blob-num js-line-number" data-line-number="545"></td>
        <td id="LC545" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Call \hat{f_\beta}</span></td>
      </tr>
      <tr>
        <td id="L546" class="blob-num js-line-number" data-line-number="546"></td>
        <td id="LC546" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>f</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L547" class="blob-num js-line-number" data-line-number="547"></td>
        <td id="LC547" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Declare the step size of the grid based on the grid used to create the transformation matrix</span></td>
      </tr>
      <tr>
        <td id="L548" class="blob-num js-line-number" data-line-number="548"></td>
        <td id="LC548" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_step</span> <span class=pl-c1>=</span> <span class=pl-v>B0</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B0</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L549" class="blob-num js-line-number" data-line-number="549"></td>
        <td id="LC549" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1_step</span> <span class=pl-c1>=</span> <span class=pl-v>B1</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B1</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L550" class="blob-num js-line-number" data-line-number="550"></td>
        <td id="LC550" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b2_step</span> <span class=pl-c1>=</span> <span class=pl-v>B2</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B2</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L551" class="blob-num js-line-number" data-line-number="551"></td>
        <td id="LC551" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L552" class="blob-num js-line-number" data-line-number="552"></td>
        <td id="LC552" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L553" class="blob-num js-line-number" data-line-number="553"></td>
        <td id="LC553" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Reshape \hat{f_\beta} to the it&#39;s 2-dimensional np.array form</span></td>
      </tr>
      <tr>
        <td id="L554" class="blob-num js-line-number" data-line-number="554"></td>
        <td id="LC554" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f_shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>f_shaped</span></td>
      </tr>
      <tr>
        <td id="L555" class="blob-num js-line-number" data-line-number="555"></td>
        <td id="LC555" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># E[B0] = \int{}</span></td>
      </tr>
      <tr>
        <td id="L556" class="blob-num js-line-number" data-line-number="556"></td>
        <td id="LC556" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>) <span class=pl-c1>*</span> <span class=pl-v>B0</span> <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span>))</td>
      </tr>
      <tr>
        <td id="L557" class="blob-num js-line-number" data-line-number="557"></td>
        <td id="LC557" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f_shaped</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>) <span class=pl-c1>*</span> <span class=pl-v>B1</span> <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span>))</td>
      </tr>
      <tr>
        <td id="L558" class="blob-num js-line-number" data-line-number="558"></td>
        <td id="LC558" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>shift_scale_loc</span>(<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>,<span class=pl-s1>expected_vals</span>)</td>
      </tr>
      <tr>
        <td id="L559" class="blob-num js-line-number" data-line-number="559"></td>
        <td id="LC559" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L560" class="blob-num js-line-number" data-line-number="560"></td>
        <td id="LC560" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>3</span>:</td>
      </tr>
      <tr>
        <td id="L561" class="blob-num js-line-number" data-line-number="561"></td>
        <td id="LC561" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f12</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L562" class="blob-num js-line-number" data-line-number="562"></td>
        <td id="LC562" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f02</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L563" class="blob-num js-line-number" data-line-number="563"></td>
        <td id="LC563" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L564" class="blob-num js-line-number" data-line-number="564"></td>
        <td id="LC564" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f01</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>) <span class=pl-c1>*</span> <span class=pl-v>B0</span> <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span>))</td>
      </tr>
      <tr>
        <td id="L565" class="blob-num js-line-number" data-line-number="565"></td>
        <td id="LC565" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f02</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>) <span class=pl-c1>*</span> <span class=pl-v>B1</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span>))</td>
      </tr>
      <tr>
        <td id="L566" class="blob-num js-line-number" data-line-number="566"></td>
        <td id="LC566" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>expected_vals</span>.<span class=pl-en>append</span>(<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f12</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>) <span class=pl-c1>*</span> <span class=pl-v>B2</span> <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span>))</td>
      </tr>
      <tr>
        <td id="L567" class="blob-num js-line-number" data-line-number="567"></td>
        <td id="LC567" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>shift_scale_loc</span>(<span class=pl-s1>self</span>.<span class=pl-s1>grid</span>,<span class=pl-s1>expected_vals</span>)</td>
      </tr>
      <tr>
        <td id="L568" class="blob-num js-line-number" data-line-number="568"></td>
        <td id="LC568" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L569" class="blob-num js-line-number" data-line-number="569"></td>
        <td id="LC569" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>cov</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L570" class="blob-num js-line-number" data-line-number="570"></td>
        <td id="LC570" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Establish how many dimensions \hat{f_\beta} has</span></td>
      </tr>
      <tr>
        <td id="L571" class="blob-num js-line-number" data-line-number="571"></td>
        <td id="LC571" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L572" class="blob-num js-line-number" data-line-number="572"></td>
        <td id="LC572" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Call \hat{f_\beta}</span></td>
      </tr>
      <tr>
        <td id="L573" class="blob-num js-line-number" data-line-number="573"></td>
        <td id="LC573" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>f</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L574" class="blob-num js-line-number" data-line-number="574"></td>
        <td id="LC574" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>m</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L575" class="blob-num js-line-number" data-line-number="575"></td>
        <td id="LC575" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Set gridpoints for each axis</span></td>
      </tr>
      <tr>
        <td id="L576" class="blob-num js-line-number" data-line-number="576"></td>
        <td id="LC576" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B0</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L577" class="blob-num js-line-number" data-line-number="577"></td>
        <td id="LC577" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B1</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L578" class="blob-num js-line-number" data-line-number="578"></td>
        <td id="LC578" class="blob-code blob-code-inner js-file-line">        <span class=pl-v>B2</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L579" class="blob-num js-line-number" data-line-number="579"></td>
        <td id="LC579" class="blob-code blob-code-inner js-file-line">        <span class=pl-c># Set the step size of each axis</span></td>
      </tr>
      <tr>
        <td id="L580" class="blob-num js-line-number" data-line-number="580"></td>
        <td id="LC580" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_step</span> <span class=pl-c1>=</span> <span class=pl-v>B0</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B0</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L581" class="blob-num js-line-number" data-line-number="581"></td>
        <td id="LC581" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1_step</span> <span class=pl-c1>=</span> <span class=pl-v>B1</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B1</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L582" class="blob-num js-line-number" data-line-number="582"></td>
        <td id="LC582" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b2_step</span> <span class=pl-c1>=</span> <span class=pl-v>B2</span>[<span class=pl-c1>1</span>]<span class=pl-c1>-</span><span class=pl-v>B2</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L583" class="blob-num js-line-number" data-line-number="583"></td>
        <td id="LC583" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L584" class="blob-num js-line-number" data-line-number="584"></td>
        <td id="LC584" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L585" class="blob-num js-line-number" data-line-number="585"></td>
        <td id="LC585" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Reshape \hat{f_\beta} to 2-dimensional form</span></td>
      </tr>
      <tr>
        <td id="L586" class="blob-num js-line-number" data-line-number="586"></td>
        <td id="LC586" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shaped</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>f_shaped</span></td>
      </tr>
      <tr>
        <td id="L587" class="blob-num js-line-number" data-line-number="587"></td>
        <td id="LC587" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Initialize the covariance matrix</span></td>
      </tr>
      <tr>
        <td id="L588" class="blob-num js-line-number" data-line-number="588"></td>
        <td id="LC588" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-c1>2</span>, <span class=pl-c1>2</span>))</td>
      </tr>
      <tr>
        <td id="L589" class="blob-num js-line-number" data-line-number="589"></td>
        <td id="LC589" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the marginal distributions</span></td>
      </tr>
      <tr>
        <td id="L590" class="blob-num js-line-number" data-line-number="590"></td>
        <td id="LC590" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f0</span> <span class=pl-c1>=</span> <span class=pl-s1>shaped</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>) <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span></td>
      </tr>
      <tr>
        <td id="L591" class="blob-num js-line-number" data-line-number="591"></td>
        <td id="LC591" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f1</span> <span class=pl-c1>=</span> <span class=pl-s1>shaped</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>) <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span></td>
      </tr>
      <tr>
        <td id="L592" class="blob-num js-line-number" data-line-number="592"></td>
        <td id="LC592" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Assign the variances on the diagonal entries</span></td>
      </tr>
      <tr>
        <td id="L593" class="blob-num js-line-number" data-line-number="593"></td>
        <td id="LC593" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f0</span> <span class=pl-c1>*</span> (<span class=pl-v>B0</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>]) <span class=pl-c1>**</span> <span class=pl-c1>2</span> <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span>)</td>
      </tr>
      <tr>
        <td id="L594" class="blob-num js-line-number" data-line-number="594"></td>
        <td id="LC594" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f1</span> <span class=pl-c1>*</span> (<span class=pl-v>B1</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>]) <span class=pl-c1>**</span> <span class=pl-c1>2</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span>)</td>
      </tr>
      <tr>
        <td id="L595" class="blob-num js-line-number" data-line-number="595"></td>
        <td id="LC595" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Extract the values of \hat{f_\beta} for which b_0 = b_1</span></td>
      </tr>
      <tr>
        <td id="L596" class="blob-num js-line-number" data-line-number="596"></td>
        <td id="LC596" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L597" class="blob-num js-line-number" data-line-number="597"></td>
        <td id="LC597" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L598" class="blob-num js-line-number" data-line-number="598"></td>
        <td id="LC598" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>, <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]):</td>
      </tr>
      <tr>
        <td id="L599" class="blob-num js-line-number" data-line-number="599"></td>
        <td id="LC599" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f01</span>.<span class=pl-en>append</span>(<span class=pl-s1>shaped</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L600" class="blob-num js-line-number" data-line-number="600"></td>
        <td id="LC600" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f01</span>)</td>
      </tr>
      <tr>
        <td id="L601" class="blob-num js-line-number" data-line-number="601"></td>
        <td id="LC601" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the covariance</span></td>
      </tr>
      <tr>
        <td id="L602" class="blob-num js-line-number" data-line-number="602"></td>
        <td id="LC602" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f01</span> <span class=pl-c1>*</span> (<span class=pl-v>B0</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>]) <span class=pl-c1>*</span> (<span class=pl-v>B1</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>]) <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span>)</td>
      </tr>
      <tr>
        <td id="L603" class="blob-num js-line-number" data-line-number="603"></td>
        <td id="LC603" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>1</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>val</span>, <span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L604" class="blob-num js-line-number" data-line-number="604"></td>
        <td id="LC604" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>cov_mat</span></td>
      </tr>
      <tr>
        <td id="L605" class="blob-num js-line-number" data-line-number="605"></td>
        <td id="LC605" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L606" class="blob-num js-line-number" data-line-number="606"></td>
        <td id="LC606" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L607" class="blob-num js-line-number" data-line-number="607"></td>
        <td id="LC607" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># INitialize the covariance matrix</span></td>
      </tr>
      <tr>
        <td id="L608" class="blob-num js-line-number" data-line-number="608"></td>
        <td id="LC608" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-c1>3</span>, <span class=pl-c1>3</span>))</td>
      </tr>
      <tr>
        <td id="L609" class="blob-num js-line-number" data-line-number="609"></td>
        <td id="LC609" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the marginal distributions</span></td>
      </tr>
      <tr>
        <td id="L610" class="blob-num js-line-number" data-line-number="610"></td>
        <td id="LC610" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f12</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L611" class="blob-num js-line-number" data-line-number="611"></td>
        <td id="LC611" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f02</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L612" class="blob-num js-line-number" data-line-number="612"></td>
        <td id="LC612" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01</span> <span class=pl-c1>=</span> <span class=pl-s1>self</span>.<span class=pl-s1>joint_marginals</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L613" class="blob-num js-line-number" data-line-number="613"></td>
        <td id="LC613" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f0</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f01</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>) <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span></td>
      </tr>
      <tr>
        <td id="L614" class="blob-num js-line-number" data-line-number="614"></td>
        <td id="LC614" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f1</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f12</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>) <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span></td>
      </tr>
      <tr>
        <td id="L615" class="blob-num js-line-number" data-line-number="615"></td>
        <td id="LC615" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f2</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f02</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>) <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span></td>
      </tr>
      <tr>
        <td id="L616" class="blob-num js-line-number" data-line-number="616"></td>
        <td id="LC616" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the variances on the diagonal entries</span></td>
      </tr>
      <tr>
        <td id="L617" class="blob-num js-line-number" data-line-number="617"></td>
        <td id="LC617" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var_00</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f0</span> <span class=pl-c1>*</span> (<span class=pl-v>B0</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>]) <span class=pl-c1>**</span> <span class=pl-c1>2</span> <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>**</span> <span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L618" class="blob-num js-line-number" data-line-number="618"></td>
        <td id="LC618" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var_11</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f1</span> <span class=pl-c1>*</span> (<span class=pl-v>B1</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>]) <span class=pl-c1>**</span> <span class=pl-c1>2</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span> <span class=pl-c1>**</span> <span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L619" class="blob-num js-line-number" data-line-number="619"></td>
        <td id="LC619" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var_22</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>f2</span> <span class=pl-c1>*</span> (<span class=pl-v>B2</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>2</span>]) <span class=pl-c1>**</span> <span class=pl-c1>2</span> <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span> <span class=pl-c1>**</span> <span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L620" class="blob-num js-line-number" data-line-number="620"></td>
        <td id="LC620" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>1</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>2</span>][<span class=pl-c1>2</span>] <span class=pl-c1>=</span> <span class=pl-s1>var_00</span>, <span class=pl-s1>var_11</span>, <span class=pl-s1>var_22</span></td>
      </tr>
      <tr>
        <td id="L621" class="blob-num js-line-number" data-line-number="621"></td>
        <td id="LC621" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Extract the values from the appropriate marginal distributions</span></td>
      </tr>
      <tr>
        <td id="L622" class="blob-num js-line-number" data-line-number="622"></td>
        <td id="LC622" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01s</span>, <span class=pl-s1>f02s</span>, <span class=pl-s1>f12s</span> <span class=pl-c1>=</span> [], [], []</td>
      </tr>
      <tr>
        <td id="L623" class="blob-num js-line-number" data-line-number="623"></td>
        <td id="LC623" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L624" class="blob-num js-line-number" data-line-number="624"></td>
        <td id="LC624" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>, <span class=pl-s1>self</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]):</td>
      </tr>
      <tr>
        <td id="L625" class="blob-num js-line-number" data-line-number="625"></td>
        <td id="LC625" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f01s</span>.<span class=pl-en>append</span>(<span class=pl-s1>f01</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L626" class="blob-num js-line-number" data-line-number="626"></td>
        <td id="LC626" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f02s</span>.<span class=pl-en>append</span>(<span class=pl-s1>f02</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L627" class="blob-num js-line-number" data-line-number="627"></td>
        <td id="LC627" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>f12s</span>.<span class=pl-en>append</span>(<span class=pl-s1>f12</span>[<span class=pl-s1>i</span>][<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L628" class="blob-num js-line-number" data-line-number="628"></td>
        <td id="LC628" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f01s</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f01s</span>)</td>
      </tr>
      <tr>
        <td id="L629" class="blob-num js-line-number" data-line-number="629"></td>
        <td id="LC629" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f02s</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f02s</span>)</td>
      </tr>
      <tr>
        <td id="L630" class="blob-num js-line-number" data-line-number="630"></td>
        <td id="LC630" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>f12s</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>f12s</span>)</td>
      </tr>
      <tr>
        <td id="L631" class="blob-num js-line-number" data-line-number="631"></td>
        <td id="LC631" class="blob-code blob-code-inner js-file-line">            <span class=pl-c># Compute for the covariances</span></td>
      </tr>
      <tr>
        <td id="L632" class="blob-num js-line-number" data-line-number="632"></td>
        <td id="LC632" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var01</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f01s</span> <span class=pl-c1>*</span> (<span class=pl-v>B0</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>]) <span class=pl-c1>*</span> (<span class=pl-v>B1</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>]) <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span>)</td>
      </tr>
      <tr>
        <td id="L633" class="blob-num js-line-number" data-line-number="633"></td>
        <td id="LC633" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var02</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f02s</span> <span class=pl-c1>*</span> (<span class=pl-v>B0</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>0</span>]) <span class=pl-c1>*</span> (<span class=pl-v>B2</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>2</span>]) <span class=pl-c1>*</span> <span class=pl-s1>b0_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span>)</td>
      </tr>
      <tr>
        <td id="L634" class="blob-num js-line-number" data-line-number="634"></td>
        <td id="LC634" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>var12</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>f12s</span> <span class=pl-c1>*</span> (<span class=pl-v>B1</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>1</span>]) <span class=pl-c1>*</span> (<span class=pl-v>B2</span> <span class=pl-c1>-</span> <span class=pl-s1>self</span>.<span class=pl-en>ev</span>()[<span class=pl-c1>2</span>]) <span class=pl-c1>*</span> <span class=pl-s1>b1_step</span> <span class=pl-c1>*</span> <span class=pl-s1>b2_step</span>)</td>
      </tr>
      <tr>
        <td id="L635" class="blob-num js-line-number" data-line-number="635"></td>
        <td id="LC635" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>1</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>var01</span>, <span class=pl-s1>var01</span></td>
      </tr>
      <tr>
        <td id="L636" class="blob-num js-line-number" data-line-number="636"></td>
        <td id="LC636" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>0</span>][<span class=pl-c1>2</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>2</span>][<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>var02</span>, <span class=pl-s1>var02</span></td>
      </tr>
      <tr>
        <td id="L637" class="blob-num js-line-number" data-line-number="637"></td>
        <td id="LC637" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>cov_mat</span>[<span class=pl-c1>1</span>][<span class=pl-c1>2</span>], <span class=pl-s1>cov_mat</span>[<span class=pl-c1>2</span>][<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-s1>var12</span>, <span class=pl-s1>var12</span></td>
      </tr>
      <tr>
        <td id="L638" class="blob-num js-line-number" data-line-number="638"></td>
        <td id="LC638" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L639" class="blob-num js-line-number" data-line-number="639"></td>
        <td id="LC639" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>cov_mat</span></td>
      </tr>
      <tr>
        <td id="L640" class="blob-num js-line-number" data-line-number="640"></td>
        <td id="LC640" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L641" class="blob-num js-line-number" data-line-number="641"></td>
        <td id="LC641" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-s1>spline_grid_obj</span>:</td>
      </tr>
      <tr>
        <td id="L642" class="blob-num js-line-number" data-line-number="642"></td>
        <td id="LC642" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L643" class="blob-num js-line-number" data-line-number="643"></td>
        <td id="LC643" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>, <span class=pl-s1>num_grid_points</span>,<span class=pl-s1>b0_grid_points</span>,<span class=pl-s1>b1_grid_points</span>,<span class=pl-s1>b2_grid_points</span>,<span class=pl-s1>dim</span>,<span class=pl-s1>scale</span>,<span class=pl-s1>shifts</span>):</td>
      </tr>
      <tr>
        <td id="L644" class="blob-num js-line-number" data-line-number="644"></td>
        <td id="LC644" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>num_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>num_grid_points</span></td>
      </tr>
      <tr>
        <td id="L645" class="blob-num js-line-number" data-line-number="645"></td>
        <td id="LC645" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b0_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L646" class="blob-num js-line-number" data-line-number="646"></td>
        <td id="LC646" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b1_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L647" class="blob-num js-line-number" data-line-number="647"></td>
        <td id="LC647" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b2_grid_points</span> <span class=pl-c1>=</span> <span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L648" class="blob-num js-line-number" data-line-number="648"></td>
        <td id="LC648" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L649" class="blob-num js-line-number" data-line-number="649"></td>
        <td id="LC649" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>scale</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span></td>
      </tr>
      <tr>
        <td id="L650" class="blob-num js-line-number" data-line-number="650"></td>
        <td id="LC650" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b0</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L651" class="blob-num js-line-number" data-line-number="651"></td>
        <td id="LC651" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b1</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L652" class="blob-num js-line-number" data-line-number="652"></td>
        <td id="LC652" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>b2</span> <span class=pl-c1>=</span> <span class=pl-s1>scale</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L653" class="blob-num js-line-number" data-line-number="653"></td>
        <td id="LC653" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>shifts</span> <span class=pl-c1>=</span> <span class=pl-s1>shifts</span></td>
      </tr>
      <tr>
        <td id="L654" class="blob-num js-line-number" data-line-number="654"></td>
        <td id="LC654" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L655" class="blob-num js-line-number" data-line-number="655"></td>
        <td id="LC655" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>ks</span>(<span class=pl-s1>self</span>):</td>
      </tr>
      <tr>
        <td id="L656" class="blob-num js-line-number" data-line-number="656"></td>
        <td id="LC656" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>k</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L657" class="blob-num js-line-number" data-line-number="657"></td>
        <td id="LC657" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>self</span>.<span class=pl-s1>dim</span>):</td>
      </tr>
      <tr>
        <td id="L658" class="blob-num js-line-number" data-line-number="658"></td>
        <td id="LC658" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>k</span>.<span class=pl-en>append</span>(<span class=pl-s1>self</span>.<span class=pl-s1>num_grid_points</span><span class=pl-c1>**</span>(<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-c1>1</span>))</td>
      </tr>
      <tr>
        <td id="L659" class="blob-num js-line-number" data-line-number="659"></td>
        <td id="LC659" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>k</span></td>
      </tr>
      <tr>
        <td id="L660" class="blob-num js-line-number" data-line-number="660"></td>
        <td id="LC660" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L661" class="blob-num js-line-number" data-line-number="661"></td>
        <td id="LC661" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>ransample_bivar</span>(<span class=pl-s1>n</span>,<span class=pl-s1>pi</span>,<span class=pl-s1>mu</span>,<span class=pl-s1>sigma</span>):</td>
      </tr>
      <tr>
        <td id="L662" class="blob-num js-line-number" data-line-number="662"></td>
        <td id="LC662" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Function used to generate <span class=pl-cce>\b</span>etas from a normal mixture &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L663" class="blob-num js-line-number" data-line-number="663"></td>
        <td id="LC663" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-s1>n</span>))</td>
      </tr>
      <tr>
        <td id="L664" class="blob-num js-line-number" data-line-number="664"></td>
        <td id="LC664" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>y</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-s1>n</span>))</td>
      </tr>
      <tr>
        <td id="L665" class="blob-num js-line-number" data-line-number="665"></td>
        <td id="LC665" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># This step determines from which distribution to sample from based on the </span></td>
      </tr>
      <tr>
        <td id="L666" class="blob-num js-line-number" data-line-number="666"></td>
        <td id="LC666" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># probabilities given</span></td>
      </tr>
      <tr>
        <td id="L667" class="blob-num js-line-number" data-line-number="667"></td>
        <td id="LC667" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>k</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>choice</span>(<span class=pl-en>len</span>(<span class=pl-s1>pi</span>),<span class=pl-s1>n</span>,<span class=pl-s1>p</span><span class=pl-c1>=</span><span class=pl-s1>pi</span>,<span class=pl-s1>replace</span><span class=pl-c1>=</span><span class=pl-c1>True</span>)</td>
      </tr>
      <tr>
        <td id="L668" class="blob-num js-line-number" data-line-number="668"></td>
        <td id="LC668" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L669" class="blob-num js-line-number" data-line-number="669"></td>
        <td id="LC669" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>k</span>)):</td>
      </tr>
      <tr>
        <td id="L670" class="blob-num js-line-number" data-line-number="670"></td>
        <td id="LC670" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x</span>[<span class=pl-s1>i</span>],<span class=pl-s1>y</span>[<span class=pl-s1>i</span>]<span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>multivariate_normal</span>(<span class=pl-s1>mu</span>[<span class=pl-s1>k</span>[<span class=pl-s1>i</span>]],<span class=pl-s1>sigma</span>[<span class=pl-s1>k</span>[<span class=pl-s1>i</span>]],<span class=pl-c1>1</span>).<span class=pl-v>T</span></td>
      </tr>
      <tr>
        <td id="L671" class="blob-num js-line-number" data-line-number="671"></td>
        <td id="LC671" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>x</span>,<span class=pl-s1>y</span></td>
      </tr>
      <tr>
        <td id="L672" class="blob-num js-line-number" data-line-number="672"></td>
        <td id="LC672" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L673" class="blob-num js-line-number" data-line-number="673"></td>
        <td id="LC673" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>shape</span>(<span class=pl-s1>result</span>):</td>
      </tr>
      <tr>
        <td id="L674" class="blob-num js-line-number" data-line-number="674"></td>
        <td id="LC674" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span> <span class=pl-c1>=</span> <span class=pl-s1>result</span>.<span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L675" class="blob-num js-line-number" data-line-number="675"></td>
        <td id="LC675" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>result</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L676" class="blob-num js-line-number" data-line-number="676"></td>
        <td id="LC676" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>m</span> <span class=pl-c1>=</span> <span class=pl-s1>result</span>.<span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L677" class="blob-num js-line-number" data-line-number="677"></td>
        <td id="LC677" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L678" class="blob-num js-line-number" data-line-number="678"></td>
        <td id="LC678" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>dim</span>  <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L679" class="blob-num js-line-number" data-line-number="679"></td>
        <td id="LC679" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>m</span>,<span class=pl-s1>m</span>)</td>
      </tr>
      <tr>
        <td id="L680" class="blob-num js-line-number" data-line-number="680"></td>
        <td id="LC680" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L681" class="blob-num js-line-number" data-line-number="681"></td>
        <td id="LC681" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>m</span>,<span class=pl-s1>m</span>,<span class=pl-s1>m</span>)</td>
      </tr>
      <tr>
        <td id="L682" class="blob-num js-line-number" data-line-number="682"></td>
        <td id="LC682" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L683" class="blob-num js-line-number" data-line-number="683"></td>
        <td id="LC683" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>initial_gauss</span>(<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L684" class="blob-num js-line-number" data-line-number="684"></td>
        <td id="LC684" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function generates an initial guess as a gaussian distribution with mean 0 and variance 1 &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L685" class="blob-num js-line-number" data-line-number="685"></td>
        <td id="LC685" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>dim</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>dim</span></td>
      </tr>
      <tr>
        <td id="L686" class="blob-num js-line-number" data-line-number="686"></td>
        <td id="LC686" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x_</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>b0_grid_points</span></td>
      </tr>
      <tr>
        <td id="L687" class="blob-num js-line-number" data-line-number="687"></td>
        <td id="LC687" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>y_</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>b1_grid_points</span></td>
      </tr>
      <tr>
        <td id="L688" class="blob-num js-line-number" data-line-number="688"></td>
        <td id="LC688" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>z_</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>b2_grid_points</span></td>
      </tr>
      <tr>
        <td id="L689" class="blob-num js-line-number" data-line-number="689"></td>
        <td id="LC689" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sig</span> <span class=pl-c1>=</span> <span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L690" class="blob-num js-line-number" data-line-number="690"></td>
        <td id="LC690" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>mu</span> <span class=pl-c1>=</span> <span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L691" class="blob-num js-line-number" data-line-number="691"></td>
        <td id="LC691" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L692" class="blob-num js-line-number" data-line-number="692"></td>
        <td id="LC692" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L693" class="blob-num js-line-number" data-line-number="693"></td>
        <td id="LC693" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x</span>,<span class=pl-s1>y</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>meshgrid</span>(<span class=pl-s1>x_</span>, <span class=pl-s1>y_</span>)</td>
      </tr>
      <tr>
        <td id="L694" class="blob-num js-line-number" data-line-number="694"></td>
        <td id="LC694" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>dst</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-s1>x</span><span class=pl-c1>*</span><span class=pl-s1>x</span><span class=pl-c1>+</span><span class=pl-s1>y</span><span class=pl-c1>*</span><span class=pl-s1>y</span>)</td>
      </tr>
      <tr>
        <td id="L695" class="blob-num js-line-number" data-line-number="695"></td>
        <td id="LC695" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>gauss</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>exp</span>(<span class=pl-c1>-</span>( (<span class=pl-s1>dst</span><span class=pl-c1>-</span><span class=pl-s1>mu</span>)<span class=pl-c1>**</span><span class=pl-c1>2</span> <span class=pl-c1>/</span> ( <span class=pl-c1>2.0</span> <span class=pl-c1>*</span> <span class=pl-s1>sig</span><span class=pl-c1>**</span><span class=pl-c1>2</span> ) ) )</td>
      </tr>
      <tr>
        <td id="L696" class="blob-num js-line-number" data-line-number="696"></td>
        <td id="LC696" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>gauss</span>)</td>
      </tr>
      <tr>
        <td id="L697" class="blob-num js-line-number" data-line-number="697"></td>
        <td id="LC697" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L698" class="blob-num js-line-number" data-line-number="698"></td>
        <td id="LC698" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>3</span>:</td>
      </tr>
      <tr>
        <td id="L699" class="blob-num js-line-number" data-line-number="699"></td>
        <td id="LC699" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x</span>,<span class=pl-s1>y</span>,<span class=pl-s1>z</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>meshgrid</span>(<span class=pl-s1>x_</span>, <span class=pl-s1>y_</span>, <span class=pl-s1>z_</span>, <span class=pl-s1>indexing</span><span class=pl-c1>=</span><span class=pl-s>&#39;xy&#39;</span>)</td>
      </tr>
      <tr>
        <td id="L700" class="blob-num js-line-number" data-line-number="700"></td>
        <td id="LC700" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>dst</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-s1>x</span><span class=pl-c1>*</span><span class=pl-s1>x</span><span class=pl-c1>+</span><span class=pl-s1>y</span><span class=pl-c1>*</span><span class=pl-s1>y</span><span class=pl-c1>+</span><span class=pl-s1>z</span><span class=pl-c1>*</span><span class=pl-s1>z</span>)</td>
      </tr>
      <tr>
        <td id="L701" class="blob-num js-line-number" data-line-number="701"></td>
        <td id="LC701" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>gauss</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>exp</span>(<span class=pl-c1>-</span>( (<span class=pl-s1>dst</span><span class=pl-c1>-</span><span class=pl-s1>mu</span>)<span class=pl-c1>**</span><span class=pl-c1>2</span> <span class=pl-c1>/</span> ( <span class=pl-c1>2.0</span> <span class=pl-c1>*</span> <span class=pl-s1>sig</span><span class=pl-c1>**</span><span class=pl-c1>2</span> ) ) )</td>
      </tr>
      <tr>
        <td id="L702" class="blob-num js-line-number" data-line-number="702"></td>
        <td id="LC702" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>gauss</span>)</td>
      </tr>
      <tr>
        <td id="L703" class="blob-num js-line-number" data-line-number="703"></td>
        <td id="LC703" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L704" class="blob-num js-line-number" data-line-number="704"></td>
        <td id="LC704" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>sim_sample2d</span>(<span class=pl-s1>n</span>,<span class=pl-s1>x_params</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>beta_pi</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>beta_mu</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>beta_cov</span><span class=pl-c1>=</span><span class=pl-c1>None</span>):</td>
      </tr>
      <tr>
        <td id="L705" class="blob-num js-line-number" data-line-number="705"></td>
        <td id="LC705" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Checks if user declares any parameters to use.</span></td>
      </tr>
      <tr>
        <td id="L706" class="blob-num js-line-number" data-line-number="706"></td>
        <td id="LC706" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>x_params</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L707" class="blob-num js-line-number" data-line-number="707"></td>
        <td id="LC707" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x_params</span> <span class=pl-c1>=</span> <span class=pl-s1>x_params</span></td>
      </tr>
      <tr>
        <td id="L708" class="blob-num js-line-number" data-line-number="708"></td>
        <td id="LC708" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L709" class="blob-num js-line-number" data-line-number="709"></td>
        <td id="LC709" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x_params</span> <span class=pl-c1>=</span> [<span class=pl-c1>-</span><span class=pl-c1>2</span>,<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L710" class="blob-num js-line-number" data-line-number="710"></td>
        <td id="LC710" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>beta_pi</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L711" class="blob-num js-line-number" data-line-number="711"></td>
        <td id="LC711" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_pi</span> <span class=pl-c1>=</span> <span class=pl-s1>beta_pi</span></td>
      </tr>
      <tr>
        <td id="L712" class="blob-num js-line-number" data-line-number="712"></td>
        <td id="LC712" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L713" class="blob-num js-line-number" data-line-number="713"></td>
        <td id="LC713" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_pi</span> <span class=pl-c1>=</span> [<span class=pl-c1>0.5</span>,<span class=pl-c1>0.5</span>]</td>
      </tr>
      <tr>
        <td id="L714" class="blob-num js-line-number" data-line-number="714"></td>
        <td id="LC714" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>beta_mu</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L715" class="blob-num js-line-number" data-line-number="715"></td>
        <td id="LC715" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_mu</span> <span class=pl-c1>=</span> <span class=pl-s1>beta_mu</span></td>
      </tr>
      <tr>
        <td id="L716" class="blob-num js-line-number" data-line-number="716"></td>
        <td id="LC716" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L717" class="blob-num js-line-number" data-line-number="717"></td>
        <td id="LC717" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_mu</span> <span class=pl-c1>=</span> [[<span class=pl-c1>-</span><span class=pl-c1>0.5</span>,<span class=pl-c1>-</span><span class=pl-c1>0.5</span>],[<span class=pl-c1>0.5</span>,<span class=pl-c1>0.5</span>]]</td>
      </tr>
      <tr>
        <td id="L718" class="blob-num js-line-number" data-line-number="718"></td>
        <td id="LC718" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>beta_cov</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L719" class="blob-num js-line-number" data-line-number="719"></td>
        <td id="LC719" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_cov</span> <span class=pl-c1>=</span> <span class=pl-s1>beta_cov</span> </td>
      </tr>
      <tr>
        <td id="L720" class="blob-num js-line-number" data-line-number="720"></td>
        <td id="LC720" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L721" class="blob-num js-line-number" data-line-number="721"></td>
        <td id="LC721" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_cov</span> <span class=pl-c1>=</span> [[[<span class=pl-c1>0.01</span>, <span class=pl-c1>0</span>], [<span class=pl-c1>0</span>, <span class=pl-c1>0.01</span>]],[[<span class=pl-c1>0.01</span>, <span class=pl-c1>0</span>], [<span class=pl-c1>0</span>, <span class=pl-c1>0.01</span>]]]</td>
      </tr>
      <tr>
        <td id="L722" class="blob-num js-line-number" data-line-number="722"></td>
        <td id="LC722" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L723" class="blob-num js-line-number" data-line-number="723"></td>
        <td id="LC723" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Sample the regressor X_1 from a uniform distribution</span></td>
      </tr>
      <tr>
        <td id="L724" class="blob-num js-line-number" data-line-number="724"></td>
        <td id="LC724" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x1</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>uniform</span>(<span class=pl-s1>x_params</span>[<span class=pl-c1>0</span>],<span class=pl-s1>x_params</span>[<span class=pl-c1>1</span>],<span class=pl-s1>n</span>).<span class=pl-v>T</span></td>
      </tr>
      <tr>
        <td id="L725" class="blob-num js-line-number" data-line-number="725"></td>
        <td id="LC725" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># X_0 is generated by creating a column of ones</span></td>
      </tr>
      <tr>
        <td id="L726" class="blob-num js-line-number" data-line-number="726"></td>
        <td id="LC726" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>repeat</span>(<span class=pl-c1>1</span>,<span class=pl-s1>n</span>)</td>
      </tr>
      <tr>
        <td id="L727" class="blob-num js-line-number" data-line-number="727"></td>
        <td id="LC727" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Create an array of regressors</span></td>
      </tr>
      <tr>
        <td id="L728" class="blob-num js-line-number" data-line-number="728"></td>
        <td id="LC728" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>xs</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>x0</span>,<span class=pl-s1>x1</span>]</td>
      </tr>
      <tr>
        <td id="L729" class="blob-num js-line-number" data-line-number="729"></td>
        <td id="LC729" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Sample the random coefficients from a bivariate mixture </span></td>
      </tr>
      <tr>
        <td id="L730" class="blob-num js-line-number" data-line-number="730"></td>
        <td id="LC730" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Using the function ransample_bivar</span></td>
      </tr>
      <tr>
        <td id="L731" class="blob-num js-line-number" data-line-number="731"></td>
        <td id="LC731" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0</span>,<span class=pl-s1>b1</span><span class=pl-c1>=</span><span class=pl-en>ransample_bivar</span>(<span class=pl-s1>n</span>,<span class=pl-s1>beta_pi</span>,<span class=pl-s1>beta_mu</span>,<span class=pl-s1>beta_cov</span>)</td>
      </tr>
      <tr>
        <td id="L732" class="blob-num js-line-number" data-line-number="732"></td>
        <td id="LC732" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;col1&#39;</span>:<span class=pl-s1>b0</span>,<span class=pl-s>&#39;col2&#39;</span>:<span class=pl-s1>b1</span>}</td>
      </tr>
      <tr>
        <td id="L733" class="blob-num js-line-number" data-line-number="733"></td>
        <td id="LC733" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>bs</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>b0</span>,<span class=pl-s1>b1</span>]</td>
      </tr>
      <tr>
        <td id="L734" class="blob-num js-line-number" data-line-number="734"></td>
        <td id="LC734" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Computes for B&#39;*X</span></td>
      </tr>
      <tr>
        <td id="L735" class="blob-num js-line-number" data-line-number="735"></td>
        <td id="LC735" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>bx</span><span class=pl-c1>=</span><span class=pl-s1>bs</span><span class=pl-c1>*</span><span class=pl-s1>xs</span></td>
      </tr>
      <tr>
        <td id="L736" class="blob-num js-line-number" data-line-number="736"></td>
        <td id="LC736" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Generate the response variable Y </span></td>
      </tr>
      <tr>
        <td id="L737" class="blob-num js-line-number" data-line-number="737"></td>
        <td id="LC737" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>y</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>sum</span>(<span class=pl-s1>x</span>) <span class=pl-k>for</span> <span class=pl-s1>x</span> <span class=pl-c1>in</span> <span class=pl-s1>bx</span>])</td>
      </tr>
      <tr>
        <td id="L738" class="blob-num js-line-number" data-line-number="738"></td>
        <td id="LC738" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>xy_sample_sim</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>xs</span>,<span class=pl-s1>y</span>]</td>
      </tr>
      <tr>
        <td id="L739" class="blob-num js-line-number" data-line-number="739"></td>
        <td id="LC739" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>xy_sample_sim</span></td>
      </tr>
      <tr>
        <td id="L740" class="blob-num js-line-number" data-line-number="740"></td>
        <td id="LC740" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L741" class="blob-num js-line-number" data-line-number="741"></td>
        <td id="LC741" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>sim_sample3d</span>(<span class=pl-s1>n</span>,<span class=pl-s1>x_params</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>beta_pi</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>beta_mu</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>beta_cov</span><span class=pl-c1>=</span><span class=pl-c1>None</span>):</td>
      </tr>
      <tr>
        <td id="L742" class="blob-num js-line-number" data-line-number="742"></td>
        <td id="LC742" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Checks if user declares any parameters to use.</span></td>
      </tr>
      <tr>
        <td id="L743" class="blob-num js-line-number" data-line-number="743"></td>
        <td id="LC743" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>x_params</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L744" class="blob-num js-line-number" data-line-number="744"></td>
        <td id="LC744" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x_params</span> <span class=pl-c1>=</span> <span class=pl-s1>x_params</span></td>
      </tr>
      <tr>
        <td id="L745" class="blob-num js-line-number" data-line-number="745"></td>
        <td id="LC745" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L746" class="blob-num js-line-number" data-line-number="746"></td>
        <td id="LC746" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x_params</span> <span class=pl-c1>=</span> [<span class=pl-c1>-</span><span class=pl-c1>2</span>,<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L747" class="blob-num js-line-number" data-line-number="747"></td>
        <td id="LC747" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>beta_pi</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L748" class="blob-num js-line-number" data-line-number="748"></td>
        <td id="LC748" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_pi</span> <span class=pl-c1>=</span> <span class=pl-s1>beta_pi</span></td>
      </tr>
      <tr>
        <td id="L749" class="blob-num js-line-number" data-line-number="749"></td>
        <td id="LC749" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L750" class="blob-num js-line-number" data-line-number="750"></td>
        <td id="LC750" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_pi</span> <span class=pl-c1>=</span> [<span class=pl-c1>1</span>,<span class=pl-c1>0</span>,<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L751" class="blob-num js-line-number" data-line-number="751"></td>
        <td id="LC751" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>beta_mu</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L752" class="blob-num js-line-number" data-line-number="752"></td>
        <td id="LC752" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_mu</span> <span class=pl-c1>=</span> <span class=pl-s1>beta_mu</span></td>
      </tr>
      <tr>
        <td id="L753" class="blob-num js-line-number" data-line-number="753"></td>
        <td id="LC753" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L754" class="blob-num js-line-number" data-line-number="754"></td>
        <td id="LC754" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_mu</span> <span class=pl-c1>=</span> [[<span class=pl-c1>2</span>,<span class=pl-c1>2</span>,<span class=pl-c1>2</span>],[<span class=pl-c1>2</span>,<span class=pl-c1>2</span>,<span class=pl-c1>2</span>],[<span class=pl-c1>2</span>,<span class=pl-c1>2</span>,<span class=pl-c1>2</span>]]</td>
      </tr>
      <tr>
        <td id="L755" class="blob-num js-line-number" data-line-number="755"></td>
        <td id="LC755" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>beta_cov</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L756" class="blob-num js-line-number" data-line-number="756"></td>
        <td id="LC756" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_cov</span> <span class=pl-c1>=</span> <span class=pl-s1>beta_cov</span> </td>
      </tr>
      <tr>
        <td id="L757" class="blob-num js-line-number" data-line-number="757"></td>
        <td id="LC757" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L758" class="blob-num js-line-number" data-line-number="758"></td>
        <td id="LC758" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>beta_cov</span> <span class=pl-c1>=</span> [[[<span class=pl-c1>0.01</span>, <span class=pl-c1>0</span>, <span class=pl-c1>0</span>], [<span class=pl-c1>0</span>,<span class=pl-c1>0.01</span>,<span class=pl-c1>0</span>], [<span class=pl-c1>0</span>,<span class=pl-c1>0</span>,<span class=pl-c1>0.01</span>]],[[<span class=pl-c1>0.01</span>, <span class=pl-c1>0</span>, <span class=pl-c1>0</span>], [<span class=pl-c1>0</span>,<span class=pl-c1>0.01</span>,<span class=pl-c1>0</span>], [<span class=pl-c1>0</span>,<span class=pl-c1>0</span>,<span class=pl-c1>0.01</span>]],[[<span class=pl-c1>0.01</span>, <span class=pl-c1>0</span>, <span class=pl-c1>0</span>], [<span class=pl-c1>0</span>,<span class=pl-c1>0.01</span>,<span class=pl-c1>0</span>], [<span class=pl-c1>0</span>,<span class=pl-c1>0</span>,<span class=pl-c1>0.01</span>]]]</td>
      </tr>
      <tr>
        <td id="L759" class="blob-num js-line-number" data-line-number="759"></td>
        <td id="LC759" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L760" class="blob-num js-line-number" data-line-number="760"></td>
        <td id="LC760" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Sample the regressors X_1, and X_2 iid from a uniform distribution.</span></td>
      </tr>
      <tr>
        <td id="L761" class="blob-num js-line-number" data-line-number="761"></td>
        <td id="LC761" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x1</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>uniform</span>(<span class=pl-s1>x_params</span>[<span class=pl-c1>0</span>],<span class=pl-s1>x_params</span>[<span class=pl-c1>1</span>],<span class=pl-s1>n</span>).<span class=pl-v>T</span></td>
      </tr>
      <tr>
        <td id="L762" class="blob-num js-line-number" data-line-number="762"></td>
        <td id="LC762" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x2</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>uniform</span>(<span class=pl-s1>x_params</span>[<span class=pl-c1>0</span>],<span class=pl-s1>x_params</span>[<span class=pl-c1>1</span>],<span class=pl-s1>n</span>).<span class=pl-v>T</span></td>
      </tr>
      <tr>
        <td id="L763" class="blob-num js-line-number" data-line-number="763"></td>
        <td id="LC763" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>repeat</span>(<span class=pl-c1>1</span>,<span class=pl-s1>n</span>)</td>
      </tr>
      <tr>
        <td id="L764" class="blob-num js-line-number" data-line-number="764"></td>
        <td id="LC764" class="blob-code blob-code-inner js-file-line">    <span class=pl-c>#creating the np.array of Xs</span></td>
      </tr>
      <tr>
        <td id="L765" class="blob-num js-line-number" data-line-number="765"></td>
        <td id="LC765" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>xs</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>x0</span>,<span class=pl-s1>x1</span>,<span class=pl-s1>x2</span>]</td>
      </tr>
      <tr>
        <td id="L766" class="blob-num js-line-number" data-line-number="766"></td>
        <td id="LC766" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Sample the random coefficients from a gaussian mixture distribution using the</span></td>
      </tr>
      <tr>
        <td id="L767" class="blob-num js-line-number" data-line-number="767"></td>
        <td id="LC767" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># function ransample()</span></td>
      </tr>
      <tr>
        <td id="L768" class="blob-num js-line-number" data-line-number="768"></td>
        <td id="LC768" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0</span>,<span class=pl-s1>b1</span>,<span class=pl-s1>b2</span><span class=pl-c1>=</span><span class=pl-en>ransample</span>(<span class=pl-s1>n</span>,<span class=pl-s1>beta_pi</span>,<span class=pl-s1>beta_mu</span>,<span class=pl-s1>beta_cov</span>)</td>
      </tr>
      <tr>
        <td id="L769" class="blob-num js-line-number" data-line-number="769"></td>
        <td id="LC769" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>bs</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>b0</span>,<span class=pl-s1>b1</span>,<span class=pl-s1>b2</span>]</td>
      </tr>
      <tr>
        <td id="L770" class="blob-num js-line-number" data-line-number="770"></td>
        <td id="LC770" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>bx</span><span class=pl-c1>=</span><span class=pl-s1>bs</span><span class=pl-c1>*</span><span class=pl-s1>xs</span></td>
      </tr>
      <tr>
        <td id="L771" class="blob-num js-line-number" data-line-number="771"></td>
        <td id="LC771" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Generate the response variable Y</span></td>
      </tr>
      <tr>
        <td id="L772" class="blob-num js-line-number" data-line-number="772"></td>
        <td id="LC772" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>y</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>sum</span>(<span class=pl-s1>x</span>) <span class=pl-k>for</span> <span class=pl-s1>x</span> <span class=pl-c1>in</span> <span class=pl-s1>bx</span>])</td>
      </tr>
      <tr>
        <td id="L773" class="blob-num js-line-number" data-line-number="773"></td>
        <td id="LC773" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>xy_sample_sim</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>xs</span>,<span class=pl-s1>y</span>]</td>
      </tr>
      <tr>
        <td id="L774" class="blob-num js-line-number" data-line-number="774"></td>
        <td id="LC774" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L775" class="blob-num js-line-number" data-line-number="775"></td>
        <td id="LC775" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>xy_sample_sim</span></td>
      </tr>
      <tr>
        <td id="L776" class="blob-num js-line-number" data-line-number="776"></td>
        <td id="LC776" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L777" class="blob-num js-line-number" data-line-number="777"></td>
        <td id="LC777" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L778" class="blob-num js-line-number" data-line-number="778"></td>
        <td id="LC778" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>filt</span>(<span class=pl-s1>start</span>,<span class=pl-s1>end</span>,<span class=pl-s1>step</span>,<span class=pl-s1>array</span>):</td>
      </tr>
      <tr>
        <td id="L779" class="blob-num js-line-number" data-line-number="779"></td>
        <td id="LC779" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function filters out <span class=pl-cce>\b</span>eta values that exceed the range of</span></td>
      </tr>
      <tr>
        <td id="L780" class="blob-num js-line-number" data-line-number="780"></td>
        <td id="LC780" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the grid. </span></td>
      </tr>
      <tr>
        <td id="L781" class="blob-num js-line-number" data-line-number="781"></td>
        <td id="LC781" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L782" class="blob-num js-line-number" data-line-number="782"></td>
        <td id="LC782" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>t</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[:,<span class=pl-c1>0</span>]<span class=pl-c1>&gt;=</span><span class=pl-s1>start</span></td>
      </tr>
      <tr>
        <td id="L783" class="blob-num js-line-number" data-line-number="783"></td>
        <td id="LC783" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>array</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[<span class=pl-s1>t</span>]</td>
      </tr>
      <tr>
        <td id="L784" class="blob-num js-line-number" data-line-number="784"></td>
        <td id="LC784" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>t1</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[:,<span class=pl-c1>0</span>]<span class=pl-c1>&lt;=</span><span class=pl-s1>end</span><span class=pl-c1>-</span><span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L785" class="blob-num js-line-number" data-line-number="785"></td>
        <td id="LC785" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>array</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[<span class=pl-s1>t1</span>]</td>
      </tr>
      <tr>
        <td id="L786" class="blob-num js-line-number" data-line-number="786"></td>
        <td id="LC786" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>t2</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[:,<span class=pl-c1>1</span>]<span class=pl-c1>&gt;=</span><span class=pl-s1>start</span></td>
      </tr>
      <tr>
        <td id="L787" class="blob-num js-line-number" data-line-number="787"></td>
        <td id="LC787" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>array</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[<span class=pl-s1>t2</span>]</td>
      </tr>
      <tr>
        <td id="L788" class="blob-num js-line-number" data-line-number="788"></td>
        <td id="LC788" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>t3</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[:,<span class=pl-c1>1</span>]<span class=pl-c1>&lt;=</span><span class=pl-s1>end</span><span class=pl-c1>-</span><span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L789" class="blob-num js-line-number" data-line-number="789"></td>
        <td id="LC789" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>array</span><span class=pl-c1>=</span><span class=pl-s1>array</span>[<span class=pl-s1>t3</span>]</td>
      </tr>
      <tr>
        <td id="L790" class="blob-num js-line-number" data-line-number="790"></td>
        <td id="LC790" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>array</span></td>
      </tr>
      <tr>
        <td id="L791" class="blob-num js-line-number" data-line-number="791"></td>
        <td id="LC791" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L792" class="blob-num js-line-number" data-line-number="792"></td>
        <td id="LC792" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L793" class="blob-num js-line-number" data-line-number="793"></td>
        <td id="LC793" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>which_ij</span>(<span class=pl-s1>point</span>,<span class=pl-s1>slope</span>,<span class=pl-s1>interval</span>):</td>
      </tr>
      <tr>
        <td id="L794" class="blob-num js-line-number" data-line-number="794"></td>
        <td id="LC794" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot;This function takes an intersection point as an argument and determines the</span></td>
      </tr>
      <tr>
        <td id="L795" class="blob-num js-line-number" data-line-number="795"></td>
        <td id="LC795" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    2-dimensional index of the intersection point based on the grid. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L796" class="blob-num js-line-number" data-line-number="796"></td>
        <td id="LC796" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0s</span><span class=pl-c1>=</span><span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L797" class="blob-num js-line-number" data-line-number="797"></td>
        <td id="LC797" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1s</span><span class=pl-c1>=</span><span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L798" class="blob-num js-line-number" data-line-number="798"></td>
        <td id="LC798" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L799" class="blob-num js-line-number" data-line-number="799"></td>
        <td id="LC799" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> (<span class=pl-s1>slope</span>[<span class=pl-c1>1</span>]<span class=pl-c1>&lt;=</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-s1>slope</span>[<span class=pl-c1>0</span>]<span class=pl-c1>&gt;=</span><span class=pl-c1>0</span>) <span class=pl-c1>or</span> (<span class=pl-s1>slope</span>[<span class=pl-c1>1</span>]<span class=pl-c1>&gt;=</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-s1>slope</span>[<span class=pl-c1>0</span>]<span class=pl-c1>&lt;=</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L800" class="blob-num js-line-number" data-line-number="800"></td>
        <td id="LC800" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-en>len</span>(<span class=pl-s1>b1s</span>[<span class=pl-s1>b1s</span><span class=pl-c1>&lt;</span><span class=pl-s1>point</span>[<span class=pl-c1>0</span>]])<span class=pl-c1>&gt;</span><span class=pl-c1>0</span>: </td>
      </tr>
      <tr>
        <td id="L801" class="blob-num js-line-number" data-line-number="801"></td>
        <td id="LC801" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>b1s</span>[<span class=pl-s1>b1s</span><span class=pl-c1>&lt;</span><span class=pl-s1>point</span>[<span class=pl-c1>0</span>]])<span class=pl-c1>-</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L802" class="blob-num js-line-number" data-line-number="802"></td>
        <td id="LC802" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L803" class="blob-num js-line-number" data-line-number="803"></td>
        <td id="LC803" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L804" class="blob-num js-line-number" data-line-number="804"></td>
        <td id="LC804" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-en>len</span>(<span class=pl-s1>b0s</span>[<span class=pl-s1>b0s</span><span class=pl-c1>&lt;</span><span class=pl-s1>point</span>[<span class=pl-c1>1</span>]])<span class=pl-c1>&gt;</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L805" class="blob-num js-line-number" data-line-number="805"></td>
        <td id="LC805" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>b0s</span>[<span class=pl-s1>b0s</span><span class=pl-c1>&lt;</span><span class=pl-s1>point</span>[<span class=pl-c1>1</span>]])<span class=pl-c1>-</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L806" class="blob-num js-line-number" data-line-number="806"></td>
        <td id="LC806" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L807" class="blob-num js-line-number" data-line-number="807"></td>
        <td id="LC807" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L808" class="blob-num js-line-number" data-line-number="808"></td>
        <td id="LC808" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>i</span>,<span class=pl-s1>j</span></td>
      </tr>
      <tr>
        <td id="L809" class="blob-num js-line-number" data-line-number="809"></td>
        <td id="LC809" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L810" class="blob-num js-line-number" data-line-number="810"></td>
        <td id="LC810" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L811" class="blob-num js-line-number" data-line-number="811"></td>
        <td id="LC811" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-en>len</span>(<span class=pl-s1>b1s</span>[<span class=pl-s1>b1s</span><span class=pl-c1>&lt;</span><span class=pl-s1>point</span>[<span class=pl-c1>0</span>]])<span class=pl-c1>&gt;</span><span class=pl-c1>0</span>: </td>
      </tr>
      <tr>
        <td id="L812" class="blob-num js-line-number" data-line-number="812"></td>
        <td id="LC812" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>b1s</span>[<span class=pl-s1>b1s</span><span class=pl-c1>&lt;</span><span class=pl-s1>point</span>[<span class=pl-c1>0</span>]])<span class=pl-c1>-</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L813" class="blob-num js-line-number" data-line-number="813"></td>
        <td id="LC813" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L814" class="blob-num js-line-number" data-line-number="814"></td>
        <td id="LC814" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L815" class="blob-num js-line-number" data-line-number="815"></td>
        <td id="LC815" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-en>len</span>(<span class=pl-s1>b0s</span>[<span class=pl-s1>b0s</span><span class=pl-c1>&lt;=</span><span class=pl-s1>point</span>[<span class=pl-c1>1</span>]])<span class=pl-c1>&gt;</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L816" class="blob-num js-line-number" data-line-number="816"></td>
        <td id="LC816" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>b0s</span>[<span class=pl-s1>b0s</span><span class=pl-c1>&lt;=</span><span class=pl-s1>point</span>[<span class=pl-c1>1</span>]])<span class=pl-c1>-</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L817" class="blob-num js-line-number" data-line-number="817"></td>
        <td id="LC817" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L818" class="blob-num js-line-number" data-line-number="818"></td>
        <td id="LC818" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L819" class="blob-num js-line-number" data-line-number="819"></td>
        <td id="LC819" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>i</span>,<span class=pl-s1>j</span></td>
      </tr>
      <tr>
        <td id="L820" class="blob-num js-line-number" data-line-number="820"></td>
        <td id="LC820" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L821" class="blob-num js-line-number" data-line-number="821"></td>
        <td id="LC821" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>index_conv</span>(<span class=pl-s1>ijs</span>,<span class=pl-s1>k</span>):</td>
      </tr>
      <tr>
        <td id="L822" class="blob-num js-line-number" data-line-number="822"></td>
        <td id="LC822" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function converts the indices i and j, obtained from the function</span></td>
      </tr>
      <tr>
        <td id="L823" class="blob-num js-line-number" data-line-number="823"></td>
        <td id="LC823" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    which_ij() into the index of the 1 x m dimensional array form of \hat{f_<span class=pl-cce>\b</span>eta}</span></td>
      </tr>
      <tr>
        <td id="L824" class="blob-num js-line-number" data-line-number="824"></td>
        <td id="LC824" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L825" class="blob-num js-line-number" data-line-number="825"></td>
        <td id="LC825" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-s1>x</span>[<span class=pl-c1>1</span>]<span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-s1>k</span>)<span class=pl-c1>+</span><span class=pl-s1>x</span>[<span class=pl-c1>0</span>] <span class=pl-k>for</span> <span class=pl-s1>x</span> <span class=pl-c1>in</span> <span class=pl-s1>ijs</span>])</td>
      </tr>
      <tr>
        <td id="L826" class="blob-num js-line-number" data-line-number="826"></td>
        <td id="LC826" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L827" class="blob-num js-line-number" data-line-number="827"></td>
        <td id="LC827" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L828" class="blob-num js-line-number" data-line-number="828"></td>
        <td id="LC828" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>get_intervals</span>(<span class=pl-s1>xi</span>,<span class=pl-s1>yi</span>,<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L829" class="blob-num js-line-number" data-line-number="829"></td>
        <td id="LC829" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the length of intersection of the line parametrized by the sample </span></td>
      </tr>
      <tr>
        <td id="L830" class="blob-num js-line-number" data-line-number="830"></td>
        <td id="LC830" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    observations X and Y with the grid (i.e. returns all the lengths of the line-segments generated</span></td>
      </tr>
      <tr>
        <td id="L831" class="blob-num js-line-number" data-line-number="831"></td>
        <td id="LC831" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    by passing a line through the grid)</span></td>
      </tr>
      <tr>
        <td id="L832" class="blob-num js-line-number" data-line-number="832"></td>
        <td id="LC832" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L833" class="blob-num js-line-number" data-line-number="833"></td>
        <td id="LC833" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>start</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>start</span></td>
      </tr>
      <tr>
        <td id="L834" class="blob-num js-line-number" data-line-number="834"></td>
        <td id="LC834" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>end</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>end</span></td>
      </tr>
      <tr>
        <td id="L835" class="blob-num js-line-number" data-line-number="835"></td>
        <td id="LC835" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>step</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L836" class="blob-num js-line-number" data-line-number="836"></td>
        <td id="LC836" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0s</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>.<span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L837" class="blob-num js-line-number" data-line-number="837"></td>
        <td id="LC837" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1s</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>.<span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L838" class="blob-num js-line-number" data-line-number="838"></td>
        <td id="LC838" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Computes for intersection points for different cases</span></td>
      </tr>
      <tr>
        <td id="L839" class="blob-num js-line-number" data-line-number="839"></td>
        <td id="LC839" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L840" class="blob-num js-line-number" data-line-number="840"></td>
        <td id="LC840" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>xi</span>[<span class=pl-c1>1</span>]<span class=pl-c1>!=</span> <span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-s1>xi</span>[<span class=pl-c1>0</span>]<span class=pl-c1>!=</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L841" class="blob-num js-line-number" data-line-number="841"></td>
        <td id="LC841" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0</span><span class=pl-c1>=</span>(<span class=pl-s1>yi</span><span class=pl-c1>-</span><span class=pl-s1>b1s</span><span class=pl-c1>*</span><span class=pl-s1>xi</span>[<span class=pl-c1>1</span>])<span class=pl-c1>/</span><span class=pl-s1>xi</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L842" class="blob-num js-line-number" data-line-number="842"></td>
        <td id="LC842" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1</span><span class=pl-c1>=</span>(<span class=pl-s1>yi</span><span class=pl-c1>-</span><span class=pl-s1>b0s</span><span class=pl-c1>*</span><span class=pl-s1>xi</span>[<span class=pl-c1>0</span>])<span class=pl-c1>/</span><span class=pl-s1>xi</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L843" class="blob-num js-line-number" data-line-number="843"></td>
        <td id="LC843" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L844" class="blob-num js-line-number" data-line-number="844"></td>
        <td id="LC844" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-s1>xi</span>[<span class=pl-c1>1</span>]<span class=pl-c1>==</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L845" class="blob-num js-line-number" data-line-number="845"></td>
        <td id="LC845" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0</span><span class=pl-c1>=</span>[<span class=pl-s1>yi</span>]<span class=pl-c1>*</span><span class=pl-en>len</span>(<span class=pl-s1>b1s</span>)</td>
      </tr>
      <tr>
        <td id="L846" class="blob-num js-line-number" data-line-number="846"></td>
        <td id="LC846" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1</span><span class=pl-c1>=</span><span class=pl-s1>b1s</span></td>
      </tr>
      <tr>
        <td id="L847" class="blob-num js-line-number" data-line-number="847"></td>
        <td id="LC847" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L848" class="blob-num js-line-number" data-line-number="848"></td>
        <td id="LC848" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L849" class="blob-num js-line-number" data-line-number="849"></td>
        <td id="LC849" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0</span><span class=pl-c1>=</span><span class=pl-s1>b0s</span></td>
      </tr>
      <tr>
        <td id="L850" class="blob-num js-line-number" data-line-number="850"></td>
        <td id="LC850" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1</span><span class=pl-c1>=</span>[<span class=pl-s1>yi</span>]<span class=pl-c1>*</span><span class=pl-en>len</span>(<span class=pl-s1>b1s</span>)</td>
      </tr>
      <tr>
        <td id="L851" class="blob-num js-line-number" data-line-number="851"></td>
        <td id="LC851" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1based</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>b1s</span>,<span class=pl-s1>b0</span>]</td>
      </tr>
      <tr>
        <td id="L852" class="blob-num js-line-number" data-line-number="852"></td>
        <td id="LC852" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0based</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>b1</span>,<span class=pl-s1>b0s</span>]</td>
      </tr>
      <tr>
        <td id="L853" class="blob-num js-line-number" data-line-number="853"></td>
        <td id="LC853" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1b0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>r_</span>[<span class=pl-s1>b1based</span>,<span class=pl-s1>b0based</span>]</td>
      </tr>
      <tr>
        <td id="L854" class="blob-num js-line-number" data-line-number="854"></td>
        <td id="LC854" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1b0</span><span class=pl-c1>=</span><span class=pl-s1>b1b0</span>[<span class=pl-s1>np</span>.<span class=pl-en>argsort</span>(<span class=pl-s1>b1b0</span>[:,<span class=pl-c1>0</span>])]</td>
      </tr>
      <tr>
        <td id="L855" class="blob-num js-line-number" data-line-number="855"></td>
        <td id="LC855" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Filters only unique intersections</span></td>
      </tr>
      <tr>
        <td id="L856" class="blob-num js-line-number" data-line-number="856"></td>
        <td id="LC856" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1b0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>unique</span>(<span class=pl-s1>b1b0</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)</td>
      </tr>
      <tr>
        <td id="L857" class="blob-num js-line-number" data-line-number="857"></td>
        <td id="LC857" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Filters intersection points within the grid</span></td>
      </tr>
      <tr>
        <td id="L858" class="blob-num js-line-number" data-line-number="858"></td>
        <td id="LC858" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>new_b1b0</span><span class=pl-c1>=</span><span class=pl-en>filt</span>(<span class=pl-s1>start</span>,<span class=pl-s1>end</span>,<span class=pl-s1>step</span>,<span class=pl-s1>b1b0</span>)</td>
      </tr>
      <tr>
        <td id="L859" class="blob-num js-line-number" data-line-number="859"></td>
        <td id="LC859" class="blob-code blob-code-inner js-file-line">    <span class=pl-c># Computes the length of the line intervals</span></td>
      </tr>
      <tr>
        <td id="L860" class="blob-num js-line-number" data-line-number="860"></td>
        <td id="LC860" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>intervals</span><span class=pl-c1>=</span>[<span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>new_b1b0</span>[<span class=pl-s1>i</span>]<span class=pl-c1>-</span><span class=pl-s1>new_b1b0</span>[<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-c1>1</span>]) <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>new_b1b0</span>)<span class=pl-c1>-</span><span class=pl-c1>1</span>)]</td>
      </tr>
      <tr>
        <td id="L861" class="blob-num js-line-number" data-line-number="861"></td>
        <td id="LC861" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>intervals</span></td>
      </tr>
      <tr>
        <td id="L862" class="blob-num js-line-number" data-line-number="862"></td>
        <td id="LC862" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L863" class="blob-num js-line-number" data-line-number="863"></td>
        <td id="LC863" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>get_intersections</span>(<span class=pl-s1>xi</span>,<span class=pl-s1>yi</span>,<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L864" class="blob-num js-line-number" data-line-number="864"></td>
        <td id="LC864" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes for the intersection points on the grid.</span></td>
      </tr>
      <tr>
        <td id="L865" class="blob-num js-line-number" data-line-number="865"></td>
        <td id="LC865" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L866" class="blob-num js-line-number" data-line-number="866"></td>
        <td id="LC866" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>start</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>start</span></td>
      </tr>
      <tr>
        <td id="L867" class="blob-num js-line-number" data-line-number="867"></td>
        <td id="LC867" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>end</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>end</span></td>
      </tr>
      <tr>
        <td id="L868" class="blob-num js-line-number" data-line-number="868"></td>
        <td id="LC868" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>step</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L869" class="blob-num js-line-number" data-line-number="869"></td>
        <td id="LC869" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0s</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>.<span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L870" class="blob-num js-line-number" data-line-number="870"></td>
        <td id="LC870" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1s</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>.<span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L871" class="blob-num js-line-number" data-line-number="871"></td>
        <td id="LC871" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L872" class="blob-num js-line-number" data-line-number="872"></td>
        <td id="LC872" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>xi</span>[<span class=pl-c1>1</span>]<span class=pl-c1>!=</span> <span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-s1>xi</span>[<span class=pl-c1>0</span>]<span class=pl-c1>!=</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L873" class="blob-num js-line-number" data-line-number="873"></td>
        <td id="LC873" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0</span><span class=pl-c1>=</span>(<span class=pl-s1>yi</span><span class=pl-c1>-</span><span class=pl-s1>b1s</span><span class=pl-c1>*</span><span class=pl-s1>xi</span>[<span class=pl-c1>1</span>])<span class=pl-c1>/</span><span class=pl-s1>xi</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L874" class="blob-num js-line-number" data-line-number="874"></td>
        <td id="LC874" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1</span><span class=pl-c1>=</span>(<span class=pl-s1>yi</span><span class=pl-c1>-</span><span class=pl-s1>b0s</span><span class=pl-c1>*</span><span class=pl-s1>xi</span>[<span class=pl-c1>0</span>])<span class=pl-c1>/</span><span class=pl-s1>xi</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L875" class="blob-num js-line-number" data-line-number="875"></td>
        <td id="LC875" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L876" class="blob-num js-line-number" data-line-number="876"></td>
        <td id="LC876" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-s1>xi</span>[<span class=pl-c1>1</span>]<span class=pl-c1>==</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L877" class="blob-num js-line-number" data-line-number="877"></td>
        <td id="LC877" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0</span><span class=pl-c1>=</span>[<span class=pl-s1>yi</span>]<span class=pl-c1>*</span><span class=pl-en>len</span>(<span class=pl-s1>b1s</span>)</td>
      </tr>
      <tr>
        <td id="L878" class="blob-num js-line-number" data-line-number="878"></td>
        <td id="LC878" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1</span><span class=pl-c1>=</span><span class=pl-s1>b1s</span></td>
      </tr>
      <tr>
        <td id="L879" class="blob-num js-line-number" data-line-number="879"></td>
        <td id="LC879" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L880" class="blob-num js-line-number" data-line-number="880"></td>
        <td id="LC880" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L881" class="blob-num js-line-number" data-line-number="881"></td>
        <td id="LC881" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0</span><span class=pl-c1>=</span><span class=pl-s1>b0s</span></td>
      </tr>
      <tr>
        <td id="L882" class="blob-num js-line-number" data-line-number="882"></td>
        <td id="LC882" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1</span><span class=pl-c1>=</span>[<span class=pl-s1>yi</span>]<span class=pl-c1>*</span><span class=pl-en>len</span>(<span class=pl-s1>b1s</span>)</td>
      </tr>
      <tr>
        <td id="L883" class="blob-num js-line-number" data-line-number="883"></td>
        <td id="LC883" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1based</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>b1s</span>,<span class=pl-s1>b0</span>]</td>
      </tr>
      <tr>
        <td id="L884" class="blob-num js-line-number" data-line-number="884"></td>
        <td id="LC884" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0based</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>c_</span>[<span class=pl-s1>b1</span>,<span class=pl-s1>b0s</span>]</td>
      </tr>
      <tr>
        <td id="L885" class="blob-num js-line-number" data-line-number="885"></td>
        <td id="LC885" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1b0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>r_</span>[<span class=pl-s1>b1based</span>,<span class=pl-s1>b0based</span>]</td>
      </tr>
      <tr>
        <td id="L886" class="blob-num js-line-number" data-line-number="886"></td>
        <td id="LC886" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1b0</span><span class=pl-c1>=</span><span class=pl-s1>b1b0</span>[<span class=pl-s1>np</span>.<span class=pl-en>argsort</span>(<span class=pl-s1>b1b0</span>[:,<span class=pl-c1>0</span>])]</td>
      </tr>
      <tr>
        <td id="L887" class="blob-num js-line-number" data-line-number="887"></td>
        <td id="LC887" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1b0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>unique</span>(<span class=pl-s1>b1b0</span>,<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)</td>
      </tr>
      <tr>
        <td id="L888" class="blob-num js-line-number" data-line-number="888"></td>
        <td id="LC888" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>new_b1b0</span><span class=pl-c1>=</span><span class=pl-en>filt</span>(<span class=pl-s1>start</span>,<span class=pl-s1>end</span>,<span class=pl-s1>step</span>,<span class=pl-s1>b1b0</span>)</td>
      </tr>
      <tr>
        <td id="L889" class="blob-num js-line-number" data-line-number="889"></td>
        <td id="LC889" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>reduced_b1b0</span><span class=pl-c1>=</span><span class=pl-en>filt2</span>(<span class=pl-s1>new_b1b0</span>,<span class=pl-s1>xi</span>)</td>
      </tr>
      <tr>
        <td id="L890" class="blob-num js-line-number" data-line-number="890"></td>
        <td id="LC890" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>reduced_b1b0</span></td>
      </tr>
      <tr>
        <td id="L891" class="blob-num js-line-number" data-line-number="891"></td>
        <td id="LC891" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L892" class="blob-num js-line-number" data-line-number="892"></td>
        <td id="LC892" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>transmatrix_2d</span>(<span class=pl-s1>sample</span>,<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L893" class="blob-num js-line-number" data-line-number="893"></td>
        <td id="LC893" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is used to generate the transformation matrix for the 2-dimensional</span></td>
      </tr>
      <tr>
        <td id="L894" class="blob-num js-line-number" data-line-number="894"></td>
        <td id="LC894" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    application.</span></td>
      </tr>
      <tr>
        <td id="L895" class="blob-num js-line-number" data-line-number="895"></td>
        <td id="LC895" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L896" class="blob-num js-line-number" data-line-number="896"></td>
        <td id="LC896" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    The output is the class tmatrix which is used as an argument in the wrapper function</span></td>
      </tr>
      <tr>
        <td id="L897" class="blob-num js-line-number" data-line-number="897"></td>
        <td id="LC897" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    rmle().</span></td>
      </tr>
      <tr>
        <td id="L898" class="blob-num js-line-number" data-line-number="898"></td>
        <td id="LC898" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L899" class="blob-num js-line-number" data-line-number="899"></td>
        <td id="LC899" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>xy_sample</span> <span class=pl-c1>=</span> <span class=pl-s1>sample</span>.<span class=pl-s1>scaled_sample</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L900" class="blob-num js-line-number" data-line-number="900"></td>
        <td id="LC900" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-en>len</span>(<span class=pl-s1>xy_sample</span>),<span class=pl-s1>grid</span>.<span class=pl-en>numgridpoints</span>()))</td>
      </tr>
      <tr>
        <td id="L901" class="blob-num js-line-number" data-line-number="901"></td>
        <td id="LC901" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L902" class="blob-num js-line-number" data-line-number="902"></td>
        <td id="LC902" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>n</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>xy_sample</span>)):</td>
      </tr>
      <tr>
        <td id="L903" class="blob-num js-line-number" data-line-number="903"></td>
        <td id="LC903" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>intervals</span><span class=pl-c1>=</span><span class=pl-en>get_intervals</span>(<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>],<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>][<span class=pl-c1>2</span>],<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L904" class="blob-num js-line-number" data-line-number="904"></td>
        <td id="LC904" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>intersection</span><span class=pl-c1>=</span><span class=pl-en>get_intersections</span>(<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>],<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>][<span class=pl-c1>2</span>],<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L905" class="blob-num js-line-number" data-line-number="905"></td>
        <td id="LC905" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-en>index_conv</span>([<span class=pl-en>which_ij</span>(<span class=pl-s1>p</span>,<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>],<span class=pl-s1>grid</span>.<span class=pl-s1>interval</span>) <span class=pl-k>for</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>intersection</span>],<span class=pl-s1>grid</span>.<span class=pl-en>numgridpoints</span>())</td>
      </tr>
      <tr>
        <td id="L906" class="blob-num js-line-number" data-line-number="906"></td>
        <td id="LC906" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-en>list</span>(<span class=pl-en>map</span>(<span class=pl-s1>int</span>,<span class=pl-s1>indices</span>))</td>
      </tr>
      <tr>
        <td id="L907" class="blob-num js-line-number" data-line-number="907"></td>
        <td id="LC907" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L908" class="blob-num js-line-number" data-line-number="908"></td>
        <td id="LC908" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>indices</span>)):</td>
      </tr>
      <tr>
        <td id="L909" class="blob-num js-line-number" data-line-number="909"></td>
        <td id="LC909" class="blob-code blob-code-inner js-file-line">            <span class=pl-v>L</span>[<span class=pl-s1>n</span>][<span class=pl-s1>indices</span>[<span class=pl-s1>i</span>]]<span class=pl-c1>=</span><span class=pl-s1>intervals</span>[<span class=pl-s1>i</span>]</td>
      </tr>
      <tr>
        <td id="L910" class="blob-num js-line-number" data-line-number="910"></td>
        <td id="LC910" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L</span> <span class=pl-c1>=</span> <span class=pl-v>L</span>[<span class=pl-c1>~</span><span class=pl-s1>np</span>.<span class=pl-en>all</span>(<span class=pl-v>L</span><span class=pl-c1>==</span><span class=pl-c1>0</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)]</td>
      </tr>
      <tr>
        <td id="L911" class="blob-num js-line-number" data-line-number="911"></td>
        <td id="LC911" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L912" class="blob-num js-line-number" data-line-number="912"></td>
        <td id="LC912" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>tmatrix</span>(<span class=pl-v>Tmat</span><span class=pl-c1>=</span><span class=pl-v>L</span>,<span class=pl-s1>grid</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>,<span class=pl-s1>scaled_sample</span><span class=pl-c1>=</span><span class=pl-s1>xy_sample</span>,<span class=pl-s1>sample</span><span class=pl-c1>=</span><span class=pl-s1>sample</span>.<span class=pl-s1>sample</span>)</td>
      </tr>
      <tr>
        <td id="L913" class="blob-num js-line-number" data-line-number="913"></td>
        <td id="LC913" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L914" class="blob-num js-line-number" data-line-number="914"></td>
        <td id="LC914" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L915" class="blob-num js-line-number" data-line-number="915"></td>
        <td id="LC915" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>likelihood</span>(<span class=pl-s1>f</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>):</td>
      </tr>
      <tr>
        <td id="L916" class="blob-num js-line-number" data-line-number="916"></td>
        <td id="LC916" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the log-likelihood functional without a regularization </span></td>
      </tr>
      <tr>
        <td id="L917" class="blob-num js-line-number" data-line-number="917"></td>
        <td id="LC917" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    term.</span></td>
      </tr>
      <tr>
        <td id="L918" class="blob-num js-line-number" data-line-number="918"></td>
        <td id="LC918" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L919" class="blob-num js-line-number" data-line-number="919"></td>
        <td id="LC919" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L920" class="blob-num js-line-number" data-line-number="920"></td>
        <td id="LC920" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L921" class="blob-num js-line-number" data-line-number="921"></td>
        <td id="LC921" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L922" class="blob-num js-line-number" data-line-number="922"></td>
        <td id="LC922" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span></td>
      </tr>
      <tr>
        <td id="L923" class="blob-num js-line-number" data-line-number="923"></td>
        <td id="LC923" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L924" class="blob-num js-line-number" data-line-number="924"></td>
        <td id="LC924" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>norm_sq</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L925" class="blob-num js-line-number" data-line-number="925"></td>
        <td id="LC925" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the log-likelihood functional with the squared L2 norm </span></td>
      </tr>
      <tr>
        <td id="L926" class="blob-num js-line-number" data-line-number="926"></td>
        <td id="LC926" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    of \hat{f_<span class=pl-cce>\b</span>eta} as the regularization term.</span></td>
      </tr>
      <tr>
        <td id="L927" class="blob-num js-line-number" data-line-number="927"></td>
        <td id="LC927" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L928" class="blob-num js-line-number" data-line-number="928"></td>
        <td id="LC928" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L929" class="blob-num js-line-number" data-line-number="929"></td>
        <td id="LC929" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L930" class="blob-num js-line-number" data-line-number="930"></td>
        <td id="LC930" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L931" class="blob-num js-line-number" data-line-number="931"></td>
        <td id="LC931" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span> <span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-en>sum</span>(<span class=pl-s1>f</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L932" class="blob-num js-line-number" data-line-number="932"></td>
        <td id="LC932" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L933" class="blob-num js-line-number" data-line-number="933"></td>
        <td id="LC933" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>sobolev</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L934" class="blob-num js-line-number" data-line-number="934"></td>
        <td id="LC934" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the log-likelihood functional with the sobolev norm </span></td>
      </tr>
      <tr>
        <td id="L935" class="blob-num js-line-number" data-line-number="935"></td>
        <td id="LC935" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    for H1 as the regularization term.</span></td>
      </tr>
      <tr>
        <td id="L936" class="blob-num js-line-number" data-line-number="936"></td>
        <td id="LC936" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L937" class="blob-num js-line-number" data-line-number="937"></td>
        <td id="LC937" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L938" class="blob-num js-line-number" data-line-number="938"></td>
        <td id="LC938" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L939" class="blob-num js-line-number" data-line-number="939"></td>
        <td id="LC939" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)))<span class=pl-c1>/</span><span class=pl-s1>n</span></td>
      </tr>
      <tr>
        <td id="L940" class="blob-num js-line-number" data-line-number="940"></td>
        <td id="LC940" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>penal</span><span class=pl-c1>=</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-en>sum</span>(<span class=pl-s1>f</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)<span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-en>norm_fprime</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L941" class="blob-num js-line-number" data-line-number="941"></td>
        <td id="LC941" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>val</span> <span class=pl-c1>+</span> <span class=pl-s1>penal</span></td>
      </tr>
      <tr>
        <td id="L942" class="blob-num js-line-number" data-line-number="942"></td>
        <td id="LC942" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L943" class="blob-num js-line-number" data-line-number="943"></td>
        <td id="LC943" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>entropy</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L944" class="blob-num js-line-number" data-line-number="944"></td>
        <td id="LC944" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the log-likelihood functional with the entropy of \hat{f_<span class=pl-cce>\b</span>eta} </span></td>
      </tr>
      <tr>
        <td id="L945" class="blob-num js-line-number" data-line-number="945"></td>
        <td id="LC945" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    as the regularization term.</span></td>
      </tr>
      <tr>
        <td id="L946" class="blob-num js-line-number" data-line-number="946"></td>
        <td id="LC946" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L947" class="blob-num js-line-number" data-line-number="947"></td>
        <td id="LC947" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L948" class="blob-num js-line-number" data-line-number="948"></td>
        <td id="LC948" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L949" class="blob-num js-line-number" data-line-number="949"></td>
        <td id="LC949" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L950" class="blob-num js-line-number" data-line-number="950"></td>
        <td id="LC950" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span> <span class=pl-c1>+</span> <span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-en>sum</span>(<span class=pl-s1>f</span><span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L951" class="blob-num js-line-number" data-line-number="951"></td>
        <td id="LC951" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L952" class="blob-num js-line-number" data-line-number="952"></td>
        <td id="LC952" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>tot_deriv</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L953" class="blob-num js-line-number" data-line-number="953"></td>
        <td id="LC953" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function comutes the total derivative of f&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L954" class="blob-num js-line-number" data-line-number="954"></td>
        <td id="LC954" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>))))</td>
      </tr>
      <tr>
        <td id="L955" class="blob-num js-line-number" data-line-number="955"></td>
        <td id="LC955" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L956" class="blob-num js-line-number" data-line-number="956"></td>
        <td id="LC956" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>((<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-s1>fgrad</span>[<span class=pl-c1>0</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>+</span><span class=pl-s1>fgrad</span>[<span class=pl-c1>1</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span>)))</td>
      </tr>
      <tr>
        <td id="L957" class="blob-num js-line-number" data-line-number="957"></td>
        <td id="LC957" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L958" class="blob-num js-line-number" data-line-number="958"></td>
        <td id="LC958" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>norm_fprime</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L959" class="blob-num js-line-number" data-line-number="959"></td>
        <td id="LC959" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes d/df (||f||^{2}_{2}). &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L960" class="blob-num js-line-number" data-line-number="960"></td>
        <td id="LC960" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>))))</td>
      </tr>
      <tr>
        <td id="L961" class="blob-num js-line-number" data-line-number="961"></td>
        <td id="LC961" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L962" class="blob-num js-line-number" data-line-number="962"></td>
        <td id="LC962" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>ravel</span>((<span class=pl-s1>fgrad</span>[<span class=pl-c1>0</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>+</span><span class=pl-s1>fgrad</span>[<span class=pl-c1>1</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span>)))</td>
      </tr>
      <tr>
        <td id="L963" class="blob-num js-line-number" data-line-number="963"></td>
        <td id="LC963" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L964" class="blob-num js-line-number" data-line-number="964"></td>
        <td id="LC964" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>second_deriv</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L965" class="blob-num js-line-number" data-line-number="965"></td>
        <td id="LC965" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the Laplacian of f.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L966" class="blob-num js-line-number" data-line-number="966"></td>
        <td id="LC966" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>))))</td>
      </tr>
      <tr>
        <td id="L967" class="blob-num js-line-number" data-line-number="967"></td>
        <td id="LC967" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)[<span class=pl-c1>0</span>],<span class=pl-s1>step</span>)[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L968" class="blob-num js-line-number" data-line-number="968"></td>
        <td id="LC968" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad1</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)[<span class=pl-c1>1</span>],<span class=pl-s1>step</span>)[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L969" class="blob-num js-line-number" data-line-number="969"></td>
        <td id="LC969" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>fgrad0</span><span class=pl-c1>+</span><span class=pl-s1>fgrad1</span></td>
      </tr>
      <tr>
        <td id="L970" class="blob-num js-line-number" data-line-number="970"></td>
        <td id="LC970" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L971" class="blob-num js-line-number" data-line-number="971"></td>
        <td id="LC971" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_likelihood</span>(<span class=pl-s1>f</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>):</td>
      </tr>
      <tr>
        <td id="L972" class="blob-num js-line-number" data-line-number="972"></td>
        <td id="LC972" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the jacobian of the regularization</span></td>
      </tr>
      <tr>
        <td id="L973" class="blob-num js-line-number" data-line-number="973"></td>
        <td id="LC973" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional without any penalty term.</span></td>
      </tr>
      <tr>
        <td id="L974" class="blob-num js-line-number" data-line-number="974"></td>
        <td id="LC974" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L975" class="blob-num js-line-number" data-line-number="975"></td>
        <td id="LC975" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L976" class="blob-num js-line-number" data-line-number="976"></td>
        <td id="LC976" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L977" class="blob-num js-line-number" data-line-number="977"></td>
        <td id="LC977" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L978" class="blob-num js-line-number" data-line-number="978"></td>
        <td id="LC978" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L979" class="blob-num js-line-number" data-line-number="979"></td>
        <td id="LC979" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span></td>
      </tr>
      <tr>
        <td id="L980" class="blob-num js-line-number" data-line-number="980"></td>
        <td id="LC980" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L981" class="blob-num js-line-number" data-line-number="981"></td>
        <td id="LC981" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L982" class="blob-num js-line-number" data-line-number="982"></td>
        <td id="LC982" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_norm_sq</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L983" class="blob-num js-line-number" data-line-number="983"></td>
        <td id="LC983" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the jacobian of the regularization </span></td>
      </tr>
      <tr>
        <td id="L984" class="blob-num js-line-number" data-line-number="984"></td>
        <td id="LC984" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional with the squared L2 norm penalty.</span></td>
      </tr>
      <tr>
        <td id="L985" class="blob-num js-line-number" data-line-number="985"></td>
        <td id="LC985" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L986" class="blob-num js-line-number" data-line-number="986"></td>
        <td id="LC986" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L987" class="blob-num js-line-number" data-line-number="987"></td>
        <td id="LC987" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L988" class="blob-num js-line-number" data-line-number="988"></td>
        <td id="LC988" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L989" class="blob-num js-line-number" data-line-number="989"></td>
        <td id="LC989" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L990" class="blob-num js-line-number" data-line-number="990"></td>
        <td id="LC990" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L991" class="blob-num js-line-number" data-line-number="991"></td>
        <td id="LC991" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L992" class="blob-num js-line-number" data-line-number="992"></td>
        <td id="LC992" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_sobolev</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L993" class="blob-num js-line-number" data-line-number="993"></td>
        <td id="LC993" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the jacobian of the regularization</span></td>
      </tr>
      <tr>
        <td id="L994" class="blob-num js-line-number" data-line-number="994"></td>
        <td id="LC994" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional with the H1 penalty.</span></td>
      </tr>
      <tr>
        <td id="L995" class="blob-num js-line-number" data-line-number="995"></td>
        <td id="LC995" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L996" class="blob-num js-line-number" data-line-number="996"></td>
        <td id="LC996" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span> <span class=pl-c1>&lt;</span> <span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L997" class="blob-num js-line-number" data-line-number="997"></td>
        <td id="LC997" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L998" class="blob-num js-line-number" data-line-number="998"></td>
        <td id="LC998" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L999" class="blob-num js-line-number" data-line-number="999"></td>
        <td id="LC999" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L1000" class="blob-num js-line-number" data-line-number="1000"></td>
        <td id="LC1000" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>f</span><span class=pl-c1>-</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-en>second_deriv</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L1001" class="blob-num js-line-number" data-line-number="1001"></td>
        <td id="LC1001" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1002" class="blob-num js-line-number" data-line-number="1002"></td>
        <td id="LC1002" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_entropy</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1003" class="blob-num js-line-number" data-line-number="1003"></td>
        <td id="LC1003" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the jacobian of the regularization</span></td>
      </tr>
      <tr>
        <td id="L1004" class="blob-num js-line-number" data-line-number="1004"></td>
        <td id="LC1004" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional with the entropy penalty.</span></td>
      </tr>
      <tr>
        <td id="L1005" class="blob-num js-line-number" data-line-number="1005"></td>
        <td id="LC1005" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1006" class="blob-num js-line-number" data-line-number="1006"></td>
        <td id="LC1006" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span> <span class=pl-c1>&lt;</span> <span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1007" class="blob-num js-line-number" data-line-number="1007"></td>
        <td id="LC1007" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1008" class="blob-num js-line-number" data-line-number="1008"></td>
        <td id="LC1008" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L1009" class="blob-num js-line-number" data-line-number="1009"></td>
        <td id="LC1009" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L1010" class="blob-num js-line-number" data-line-number="1010"></td>
        <td id="LC1010" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span>(<span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>f</span>)<span class=pl-c1>+</span><span class=pl-c1>1</span>)</td>
      </tr>
      <tr>
        <td id="L1011" class="blob-num js-line-number" data-line-number="1011"></td>
        <td id="LC1011" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1012" class="blob-num js-line-number" data-line-number="1012"></td>
        <td id="LC1012" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>ise</span>(<span class=pl-s1>f1</span>,<span class=pl-s1>f2</span>,<span class=pl-s1>step_size</span>):</td>
      </tr>
      <tr>
        <td id="L1013" class="blob-num js-line-number" data-line-number="1013"></td>
        <td id="LC1013" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>f1</span><span class=pl-c1>-</span><span class=pl-s1>f2</span>)<span class=pl-c1>**</span><span class=pl-c1>2</span></td>
      </tr>
      <tr>
        <td id="L1014" class="blob-num js-line-number" data-line-number="1014"></td>
        <td id="LC1014" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>len</span>(<span class=pl-s1>f1</span>)<span class=pl-c1>**</span><span class=pl-c1>-</span><span class=pl-c1>1</span><span class=pl-c1>*</span><span class=pl-s1>step_size</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L1015" class="blob-num js-line-number" data-line-number="1015"></td>
        <td id="LC1015" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1016" class="blob-num js-line-number" data-line-number="1016"></td>
        <td id="LC1016" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>mise</span>(<span class=pl-s1>f1</span>,<span class=pl-s1>f2</span>,<span class=pl-s1>step_size</span>):</td>
      </tr>
      <tr>
        <td id="L1017" class="blob-num js-line-number" data-line-number="1017"></td>
        <td id="LC1017" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>f1</span><span class=pl-c1>-</span><span class=pl-s1>f2</span>)<span class=pl-c1>**</span><span class=pl-c1>2</span></td>
      </tr>
      <tr>
        <td id="L1018" class="blob-num js-line-number" data-line-number="1018"></td>
        <td id="LC1018" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>step_size</span><span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L1019" class="blob-num js-line-number" data-line-number="1019"></td>
        <td id="LC1019" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1020" class="blob-num js-line-number" data-line-number="1020"></td>
        <td id="LC1020" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>sq_l2</span>(<span class=pl-s1>f1</span>,<span class=pl-s1>f2</span>):</td>
      </tr>
      <tr>
        <td id="L1021" class="blob-num js-line-number" data-line-number="1021"></td>
        <td id="LC1021" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>f1</span><span class=pl-c1>-</span><span class=pl-s1>f2</span>)<span class=pl-c1>**</span><span class=pl-c1>2</span></td>
      </tr>
      <tr>
        <td id="L1022" class="blob-num js-line-number" data-line-number="1022"></td>
        <td id="LC1022" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L1023" class="blob-num js-line-number" data-line-number="1023"></td>
        <td id="LC1023" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1024" class="blob-num js-line-number" data-line-number="1024"></td>
        <td id="LC1024" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>prop_n</span>(<span class=pl-s1>r</span>,<span class=pl-s1>q</span>,<span class=pl-s1>i</span>):</td>
      </tr>
      <tr>
        <td id="L1025" class="blob-num js-line-number" data-line-number="1025"></td>
        <td id="LC1025" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes for the bounding function used in</span></td>
      </tr>
      <tr>
        <td id="L1026" class="blob-num js-line-number" data-line-number="1026"></td>
        <td id="LC1026" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the implementation of Lepkii&#39;s balancing principle for selecting</span></td>
      </tr>
      <tr>
        <td id="L1027" class="blob-num js-line-number" data-line-number="1027"></td>
        <td id="LC1027" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    <span class=pl-cce>\a</span>lpha. </span></td>
      </tr>
      <tr>
        <td id="L1028" class="blob-num js-line-number" data-line-number="1028"></td>
        <td id="LC1028" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1029" class="blob-num js-line-number" data-line-number="1029"></td>
        <td id="LC1029" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>8</span><span class=pl-c1>*</span><span class=pl-s1>r</span><span class=pl-c1>**</span>((<span class=pl-c1>1</span><span class=pl-c1>-</span><span class=pl-s1>i</span>)<span class=pl-c1>/</span><span class=pl-s1>q</span>)</td>
      </tr>
      <tr>
        <td id="L1030" class="blob-num js-line-number" data-line-number="1030"></td>
        <td id="LC1030" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1031" class="blob-num js-line-number" data-line-number="1031"></td>
        <td id="LC1031" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>get_int</span>(<span class=pl-s1>x</span>):</td>
      </tr>
      <tr>
        <td id="L1032" class="blob-num js-line-number" data-line-number="1032"></td>
        <td id="LC1032" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-en>any</span>(<span class=pl-s1>x</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L1033" class="blob-num js-line-number" data-line-number="1033"></td>
        <td id="LC1033" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-en>next</span>(<span class=pl-s1>i</span> <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>x</span> <span class=pl-k>if</span> <span class=pl-s1>i</span><span class=pl-c1>&lt;=</span><span class=pl-c1>0</span>)</td>
      </tr>
      <tr>
        <td id="L1034" class="blob-num js-line-number" data-line-number="1034"></td>
        <td id="LC1034" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1035" class="blob-num js-line-number" data-line-number="1035"></td>
        <td id="LC1035" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>x</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L1036" class="blob-num js-line-number" data-line-number="1036"></td>
        <td id="LC1036" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1037" class="blob-num js-line-number" data-line-number="1037"></td>
        <td id="LC1037" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>updt</span>(<span class=pl-s1>total</span>, <span class=pl-s1>progress</span>):</td>
      </tr>
      <tr>
        <td id="L1038" class="blob-num js-line-number" data-line-number="1038"></td>
        <td id="LC1038" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1039" class="blob-num js-line-number" data-line-number="1039"></td>
        <td id="LC1039" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1040" class="blob-num js-line-number" data-line-number="1040"></td>
        <td id="LC1040" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Displays or updates a console progress bar.</span></td>
      </tr>
      <tr>
        <td id="L1041" class="blob-num js-line-number" data-line-number="1041"></td>
        <td id="LC1041" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Source: https://stackoverflow.com/questions/3160699/python-progress-bar</span></td>
      </tr>
      <tr>
        <td id="L1042" class="blob-num js-line-number" data-line-number="1042"></td>
        <td id="LC1042" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1043" class="blob-num js-line-number" data-line-number="1043"></td>
        <td id="LC1043" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1044" class="blob-num js-line-number" data-line-number="1044"></td>
        <td id="LC1044" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>barLength</span>, <span class=pl-s1>status</span> <span class=pl-c1>=</span> <span class=pl-c1>20</span>, <span class=pl-s>&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1045" class="blob-num js-line-number" data-line-number="1045"></td>
        <td id="LC1045" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>progress</span> <span class=pl-c1>=</span> <span class=pl-en>float</span>(<span class=pl-s1>progress</span>) <span class=pl-c1>/</span> <span class=pl-en>float</span>(<span class=pl-s1>total</span>)</td>
      </tr>
      <tr>
        <td id="L1046" class="blob-num js-line-number" data-line-number="1046"></td>
        <td id="LC1046" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1047" class="blob-num js-line-number" data-line-number="1047"></td>
        <td id="LC1047" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>progress</span> <span class=pl-c1>&gt;=</span> <span class=pl-c1>1.</span>:</td>
      </tr>
      <tr>
        <td id="L1048" class="blob-num js-line-number" data-line-number="1048"></td>
        <td id="LC1048" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>progress</span>, <span class=pl-s1>status</span> <span class=pl-c1>=</span> <span class=pl-c1>1</span>, <span class=pl-s>&quot;<span class=pl-cce>\r</span><span class=pl-cce>\n</span>&quot;</span></td>
      </tr>
      <tr>
        <td id="L1049" class="blob-num js-line-number" data-line-number="1049"></td>
        <td id="LC1049" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>block</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-en>round</span>(<span class=pl-s1>barLength</span> <span class=pl-c1>*</span> <span class=pl-s1>progress</span>))</td>
      </tr>
      <tr>
        <td id="L1050" class="blob-num js-line-number" data-line-number="1050"></td>
        <td id="LC1050" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>text</span> <span class=pl-c1>=</span> <span class=pl-s>&quot;<span class=pl-cce>\r</span>[{}] {:.0f}% {}&quot;</span>.<span class=pl-en>format</span>(</td>
      </tr>
      <tr>
        <td id="L1051" class="blob-num js-line-number" data-line-number="1051"></td>
        <td id="LC1051" class="blob-code blob-code-inner js-file-line">        <span class=pl-s>&quot;#&quot;</span> <span class=pl-c1>*</span> <span class=pl-s1>block</span> <span class=pl-c1>+</span> <span class=pl-s>&quot;-&quot;</span> <span class=pl-c1>*</span> (<span class=pl-s1>barLength</span> <span class=pl-c1>-</span> <span class=pl-s1>block</span>), <span class=pl-en>round</span>(<span class=pl-s1>progress</span> <span class=pl-c1>*</span> <span class=pl-c1>100</span>, <span class=pl-c1>0</span>),</td>
      </tr>
      <tr>
        <td id="L1052" class="blob-num js-line-number" data-line-number="1052"></td>
        <td id="LC1052" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>status</span>)</td>
      </tr>
      <tr>
        <td id="L1053" class="blob-num js-line-number" data-line-number="1053"></td>
        <td id="LC1053" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sys</span>.<span class=pl-s1>stdout</span>.<span class=pl-en>write</span>(<span class=pl-s1>text</span>)</td>
      </tr>
      <tr>
        <td id="L1054" class="blob-num js-line-number" data-line-number="1054"></td>
        <td id="LC1054" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sys</span>.<span class=pl-s1>stdout</span>.<span class=pl-en>flush</span>()</td>
      </tr>
      <tr>
        <td id="L1055" class="blob-num js-line-number" data-line-number="1055"></td>
        <td id="LC1055" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1056" class="blob-num js-line-number" data-line-number="1056"></td>
        <td id="LC1056" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>updt_cv</span>(<span class=pl-s1>total</span>, <span class=pl-s1>progress</span>,<span class=pl-s1>time_start</span>):</td>
      </tr>
      <tr>
        <td id="L1057" class="blob-num js-line-number" data-line-number="1057"></td>
        <td id="LC1057" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1058" class="blob-num js-line-number" data-line-number="1058"></td>
        <td id="LC1058" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1059" class="blob-num js-line-number" data-line-number="1059"></td>
        <td id="LC1059" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Displays an indication of the current run-time and max possible iterations.</span></td>
      </tr>
      <tr>
        <td id="L1060" class="blob-num js-line-number" data-line-number="1060"></td>
        <td id="LC1060" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1061" class="blob-num js-line-number" data-line-number="1061"></td>
        <td id="LC1061" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Modified code from source.</span></td>
      </tr>
      <tr>
        <td id="L1062" class="blob-num js-line-number" data-line-number="1062"></td>
        <td id="LC1062" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1063" class="blob-num js-line-number" data-line-number="1063"></td>
        <td id="LC1063" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Source: https://stackoverflow.com/questions/3160699/python-progress-bar</span></td>
      </tr>
      <tr>
        <td id="L1064" class="blob-num js-line-number" data-line-number="1064"></td>
        <td id="LC1064" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1065" class="blob-num js-line-number" data-line-number="1065"></td>
        <td id="LC1065" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1066" class="blob-num js-line-number" data-line-number="1066"></td>
        <td id="LC1066" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>time_elapsed</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>() <span class=pl-c1>-</span> <span class=pl-s1>time_start</span></td>
      </tr>
      <tr>
        <td id="L1067" class="blob-num js-line-number" data-line-number="1067"></td>
        <td id="LC1067" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>max_iters</span>, <span class=pl-s1>status</span> <span class=pl-c1>=</span> <span class=pl-s1>total</span>, <span class=pl-s>&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1068" class="blob-num js-line-number" data-line-number="1068"></td>
        <td id="LC1068" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1069" class="blob-num js-line-number" data-line-number="1069"></td>
        <td id="LC1069" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>progress</span> <span class=pl-c1>&gt;=</span> <span class=pl-s1>max_iters</span>:</td>
      </tr>
      <tr>
        <td id="L1070" class="blob-num js-line-number" data-line-number="1070"></td>
        <td id="LC1070" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>progress</span>, <span class=pl-s1>max_iters</span> <span class=pl-c1>=</span> <span class=pl-s1>max_iters</span>, <span class=pl-s>&quot;<span class=pl-cce>\r</span><span class=pl-cce>\n</span>&quot;</span></td>
      </tr>
      <tr>
        <td id="L1071" class="blob-num js-line-number" data-line-number="1071"></td>
        <td id="LC1071" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>text</span> <span class=pl-c1>=</span> <span class=pl-s>&quot;<span class=pl-cce>\r</span>{} / {} possible iterations. Time elapsed: {} seconds. {}&quot;</span>.<span class=pl-en>format</span>(<span class=pl-s1>progress</span>,<span class=pl-s1>total</span>,<span class=pl-s1>time_elapsed</span>,<span class=pl-s1>status</span>)</td>
      </tr>
      <tr>
        <td id="L1072" class="blob-num js-line-number" data-line-number="1072"></td>
        <td id="LC1072" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sys</span>.<span class=pl-s1>stdout</span>.<span class=pl-en>write</span>(<span class=pl-s1>text</span>)</td>
      </tr>
      <tr>
        <td id="L1073" class="blob-num js-line-number" data-line-number="1073"></td>
        <td id="LC1073" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sys</span>.<span class=pl-s1>stdout</span>.<span class=pl-en>flush</span>()</td>
      </tr>
      <tr>
        <td id="L1074" class="blob-num js-line-number" data-line-number="1074"></td>
        <td id="LC1074" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1075" class="blob-num js-line-number" data-line-number="1075"></td>
        <td id="LC1075" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>select_cluster</span>(<span class=pl-s1>y</span>,<span class=pl-s1>kmean_obj</span>,<span class=pl-s1>l2s</span>):</td>
      </tr>
      <tr>
        <td id="L1076" class="blob-num js-line-number" data-line-number="1076"></td>
        <td id="LC1076" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is used to select which cluster to not discard when implementing</span></td>
      </tr>
      <tr>
        <td id="L1077" class="blob-num js-line-number" data-line-number="1077"></td>
        <td id="LC1077" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the shifting algorithm.</span></td>
      </tr>
      <tr>
        <td id="L1078" class="blob-num js-line-number" data-line-number="1078"></td>
        <td id="LC1078" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1079" class="blob-num js-line-number" data-line-number="1079"></td>
        <td id="LC1079" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>arr_l2</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>l2s</span>)</td>
      </tr>
      <tr>
        <td id="L1080" class="blob-num js-line-number" data-line-number="1080"></td>
        <td id="LC1080" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>clus1</span> <span class=pl-c1>=</span> <span class=pl-en>len</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>y</span><span class=pl-c1>==</span><span class=pl-c1>1</span>)[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1081" class="blob-num js-line-number" data-line-number="1081"></td>
        <td id="LC1081" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>clus0</span> <span class=pl-c1>=</span> <span class=pl-en>len</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>y</span><span class=pl-c1>==</span><span class=pl-c1>0</span>)[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1082" class="blob-num js-line-number" data-line-number="1082"></td>
        <td id="LC1082" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1083" class="blob-num js-line-number" data-line-number="1083"></td>
        <td id="LC1083" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>clus1</span> <span class=pl-c1>&gt;</span> <span class=pl-s1>clus0</span>:</td>
      </tr>
      <tr>
        <td id="L1084" class="blob-num js-line-number" data-line-number="1084"></td>
        <td id="LC1084" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>y</span><span class=pl-c1>==</span><span class=pl-c1>1</span>)[<span class=pl-c1>0</span>],<span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1085" class="blob-num js-line-number" data-line-number="1085"></td>
        <td id="LC1085" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1086" class="blob-num js-line-number" data-line-number="1086"></td>
        <td id="LC1086" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-s1>clus0</span> <span class=pl-c1>&gt;</span> <span class=pl-s1>clus1</span>:</td>
      </tr>
      <tr>
        <td id="L1087" class="blob-num js-line-number" data-line-number="1087"></td>
        <td id="LC1087" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>y</span><span class=pl-c1>==</span><span class=pl-c1>0</span>)[<span class=pl-c1>0</span>],<span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1088" class="blob-num js-line-number" data-line-number="1088"></td>
        <td id="LC1088" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1089" class="blob-num js-line-number" data-line-number="1089"></td>
        <td id="LC1089" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1090" class="blob-num js-line-number" data-line-number="1090"></td>
        <td id="LC1090" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>clus_center1</span> <span class=pl-c1>=</span> <span class=pl-s1>kmean_obj</span>.<span class=pl-s1>cluster_centers_</span>[<span class=pl-c1>1</span>][<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1091" class="blob-num js-line-number" data-line-number="1091"></td>
        <td id="LC1091" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>clus_center0</span> <span class=pl-c1>=</span> <span class=pl-s1>kmean_obj</span>.<span class=pl-s1>cluster_centers_</span>[<span class=pl-c1>1</span>][<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1092" class="blob-num js-line-number" data-line-number="1092"></td>
        <td id="LC1092" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1093" class="blob-num js-line-number" data-line-number="1093"></td>
        <td id="LC1093" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>clus_center1</span> <span class=pl-c1>&lt;</span> <span class=pl-s1>clus_center0</span>:</td>
      </tr>
      <tr>
        <td id="L1094" class="blob-num js-line-number" data-line-number="1094"></td>
        <td id="LC1094" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>y</span><span class=pl-c1>==</span><span class=pl-c1>1</span>)[<span class=pl-c1>0</span>],<span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1095" class="blob-num js-line-number" data-line-number="1095"></td>
        <td id="LC1095" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L1096" class="blob-num js-line-number" data-line-number="1096"></td>
        <td id="LC1096" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>y</span><span class=pl-c1>==</span><span class=pl-c1>0</span>)[<span class=pl-c1>0</span>],<span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1097" class="blob-num js-line-number" data-line-number="1097"></td>
        <td id="LC1097" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1098" class="blob-num js-line-number" data-line-number="1098"></td>
        <td id="LC1098" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>shift_scale_loc</span>(<span class=pl-s1>grid</span>,<span class=pl-s1>loc</span>):</td>
      </tr>
      <tr>
        <td id="L1099" class="blob-num js-line-number" data-line-number="1099"></td>
        <td id="LC1099" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This fuction takes a location which is an array then backtransforms the</span></td>
      </tr>
      <tr>
        <td id="L1100" class="blob-num js-line-number" data-line-number="1100"></td>
        <td id="LC1100" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    shift and scaling applied to it in the process of estimation.</span></td>
      </tr>
      <tr>
        <td id="L1101" class="blob-num js-line-number" data-line-number="1101"></td>
        <td id="LC1101" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1102" class="blob-num js-line-number" data-line-number="1102"></td>
        <td id="LC1102" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>loc_copy</span> <span class=pl-c1>=</span> <span class=pl-s1>loc</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L1103" class="blob-num js-line-number" data-line-number="1103"></td>
        <td id="LC1103" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>grid</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L1104" class="blob-num js-line-number" data-line-number="1104"></td>
        <td id="LC1104" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>loc_copy</span>[<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>loc_copy</span>[<span class=pl-c1>0</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b0</span><span class=pl-c1>-</span><span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1105" class="blob-num js-line-number" data-line-number="1105"></td>
        <td id="LC1105" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>loc_copy</span>[<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-s1>loc_copy</span>[<span class=pl-c1>1</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b1</span><span class=pl-c1>-</span><span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L1106" class="blob-num js-line-number" data-line-number="1106"></td>
        <td id="LC1106" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1107" class="blob-num js-line-number" data-line-number="1107"></td>
        <td id="LC1107" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1108" class="blob-num js-line-number" data-line-number="1108"></td>
        <td id="LC1108" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>loc_copy</span>[<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>loc_copy</span>[<span class=pl-c1>0</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b0</span><span class=pl-c1>-</span><span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1109" class="blob-num js-line-number" data-line-number="1109"></td>
        <td id="LC1109" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>loc_copy</span>[<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-s1>loc_copy</span>[<span class=pl-c1>1</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b1</span><span class=pl-c1>-</span><span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L1110" class="blob-num js-line-number" data-line-number="1110"></td>
        <td id="LC1110" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>loc_copy</span>[<span class=pl-c1>2</span>] <span class=pl-c1>=</span> <span class=pl-s1>loc_copy</span>[<span class=pl-c1>2</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b2</span><span class=pl-c1>-</span><span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1111" class="blob-num js-line-number" data-line-number="1111"></td>
        <td id="LC1111" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1112" class="blob-num js-line-number" data-line-number="1112"></td>
        <td id="LC1112" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>loc_copy</span></td>
      </tr>
      <tr>
        <td id="L1113" class="blob-num js-line-number" data-line-number="1113"></td>
        <td id="LC1113" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1114" class="blob-num js-line-number" data-line-number="1114"></td>
        <td id="LC1114" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1115" class="blob-num js-line-number" data-line-number="1115"></td>
        <td id="LC1115" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>index_finder</span>(<span class=pl-s1>diffs</span>):</td>
      </tr>
      <tr>
        <td id="L1116" class="blob-num js-line-number" data-line-number="1116"></td>
        <td id="LC1116" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is used to identify the index of the <span class=pl-cce>\a</span>lpha value that</span></td>
      </tr>
      <tr>
        <td id="L1117" class="blob-num js-line-number" data-line-number="1117"></td>
        <td id="LC1117" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    satisfies the Lepskii balancing principle criteria.</span></td>
      </tr>
      <tr>
        <td id="L1118" class="blob-num js-line-number" data-line-number="1118"></td>
        <td id="LC1118" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1119" class="blob-num js-line-number" data-line-number="1119"></td>
        <td id="LC1119" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1120" class="blob-num js-line-number" data-line-number="1120"></td>
        <td id="LC1120" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1121" class="blob-num js-line-number" data-line-number="1121"></td>
        <td id="LC1121" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>d</span> <span class=pl-c1>in</span> <span class=pl-s1>diffs</span>:</td>
      </tr>
      <tr>
        <td id="L1122" class="blob-num js-line-number" data-line-number="1122"></td>
        <td id="LC1122" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>sum</span>(<span class=pl-s1>d</span>[<span class=pl-s1>d</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1123" class="blob-num js-line-number" data-line-number="1123"></td>
        <td id="LC1123" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1124" class="blob-num js-line-number" data-line-number="1124"></td>
        <td id="LC1124" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>val</span> <span class=pl-c1>!=</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L1125" class="blob-num js-line-number" data-line-number="1125"></td>
        <td id="LC1125" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>break</span></td>
      </tr>
      <tr>
        <td id="L1126" class="blob-num js-line-number" data-line-number="1126"></td>
        <td id="LC1126" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1127" class="blob-num js-line-number" data-line-number="1127"></td>
        <td id="LC1127" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>int</span>(<span class=pl-s1>i</span><span class=pl-c1>-</span><span class=pl-c1>1</span>)</td>
      </tr>
      <tr>
        <td id="L1128" class="blob-num js-line-number" data-line-number="1128"></td>
        <td id="LC1128" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1129" class="blob-num js-line-number" data-line-number="1129"></td>
        <td id="LC1129" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>prop_n</span>(<span class=pl-s1>r</span>,<span class=pl-s1>q</span>,<span class=pl-s1>i</span>):</td>
      </tr>
      <tr>
        <td id="L1130" class="blob-num js-line-number" data-line-number="1130"></td>
        <td id="LC1130" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>8</span><span class=pl-c1>*</span><span class=pl-s1>r</span><span class=pl-c1>**</span>((<span class=pl-c1>1</span><span class=pl-c1>-</span><span class=pl-s1>i</span>)<span class=pl-c1>/</span><span class=pl-s1>q</span>)</td>
      </tr>
      <tr>
        <td id="L1131" class="blob-num js-line-number" data-line-number="1131"></td>
        <td id="LC1131" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1132" class="blob-num js-line-number" data-line-number="1132"></td>
        <td id="LC1132" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>alpha_vals</span>(<span class=pl-s1>a</span>,<span class=pl-s1>n</span>):</td>
      </tr>
      <tr>
        <td id="L1133" class="blob-num js-line-number" data-line-number="1133"></td>
        <td id="LC1133" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function generates the values of <span class=pl-cce>\a</span>lpha to be used for cross validation. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1134" class="blob-num js-line-number" data-line-number="1134"></td>
        <td id="LC1134" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>itrs</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1135" class="blob-num js-line-number" data-line-number="1135"></td>
        <td id="LC1135" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1136" class="blob-num js-line-number" data-line-number="1136"></td>
        <td id="LC1136" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span>):</td>
      </tr>
      <tr>
        <td id="L1137" class="blob-num js-line-number" data-line-number="1137"></td>
        <td id="LC1137" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>itrs</span>.<span class=pl-en>append</span>(<span class=pl-s1>a</span><span class=pl-c1>*</span><span class=pl-c1>0.9</span><span class=pl-c1>**</span><span class=pl-s1>i</span>)</td>
      </tr>
      <tr>
        <td id="L1138" class="blob-num js-line-number" data-line-number="1138"></td>
        <td id="LC1138" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>itrs</span>.<span class=pl-en>reverse</span>()</td>
      </tr>
      <tr>
        <td id="L1139" class="blob-num js-line-number" data-line-number="1139"></td>
        <td id="LC1139" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1140" class="blob-num js-line-number" data-line-number="1140"></td>
        <td id="LC1140" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>itrs</span></td>
      </tr>
      <tr>
        <td id="L1141" class="blob-num js-line-number" data-line-number="1141"></td>
        <td id="LC1141" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1142" class="blob-num js-line-number" data-line-number="1142"></td>
        <td id="LC1142" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>alpha_lep</span>(<span class=pl-s1>n</span>,<span class=pl-s1>sample_size</span>,<span class=pl-s1>r</span>):</td>
      </tr>
      <tr>
        <td id="L1143" class="blob-num js-line-number" data-line-number="1143"></td>
        <td id="LC1143" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function generates the values of <span class=pl-cce>\a</span>lpha to be used for Lepskii&#39;s method&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1144" class="blob-num js-line-number" data-line-number="1144"></td>
        <td id="LC1144" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>a</span><span class=pl-c1>=</span><span class=pl-c1>1</span><span class=pl-c1>/</span>(<span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>sample_size</span>)<span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>sample_size</span>)<span class=pl-c1>/</span><span class=pl-s1>np</span>.<span class=pl-en>sqrt</span>(<span class=pl-s1>sample_size</span>)</td>
      </tr>
      <tr>
        <td id="L1145" class="blob-num js-line-number" data-line-number="1145"></td>
        <td id="LC1145" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>itrs</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1146" class="blob-num js-line-number" data-line-number="1146"></td>
        <td id="LC1146" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1147" class="blob-num js-line-number" data-line-number="1147"></td>
        <td id="LC1147" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span>):</td>
      </tr>
      <tr>
        <td id="L1148" class="blob-num js-line-number" data-line-number="1148"></td>
        <td id="LC1148" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>itrs</span>.<span class=pl-en>append</span>(<span class=pl-s1>a</span><span class=pl-c1>*</span><span class=pl-s1>r</span><span class=pl-c1>**</span><span class=pl-s1>i</span>)</td>
      </tr>
      <tr>
        <td id="L1149" class="blob-num js-line-number" data-line-number="1149"></td>
        <td id="LC1149" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1150" class="blob-num js-line-number" data-line-number="1150"></td>
        <td id="LC1150" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>itrs</span><span class=pl-c1>=</span>[<span class=pl-s1>i</span> <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>itrs</span> <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>&lt;=</span><span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1151" class="blob-num js-line-number" data-line-number="1151"></td>
        <td id="LC1151" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1152" class="blob-num js-line-number" data-line-number="1152"></td>
        <td id="LC1152" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>itrs</span></td>
      </tr>
      <tr>
        <td id="L1153" class="blob-num js-line-number" data-line-number="1153"></td>
        <td id="LC1153" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1154" class="blob-num js-line-number" data-line-number="1154"></td>
        <td id="LC1154" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>sample_shuffle</span>(<span class=pl-s1>sample</span>):</td>
      </tr>
      <tr>
        <td id="L1155" class="blob-num js-line-number" data-line-number="1155"></td>
        <td id="LC1155" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function applies a  random shuffle on the subsamples used in the process of</span></td>
      </tr>
      <tr>
        <td id="L1156" class="blob-num js-line-number" data-line-number="1156"></td>
        <td id="LC1156" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    cross validation.</span></td>
      </tr>
      <tr>
        <td id="L1157" class="blob-num js-line-number" data-line-number="1157"></td>
        <td id="LC1157" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1158" class="blob-num js-line-number" data-line-number="1158"></td>
        <td id="LC1158" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>n</span><span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>sample</span>)</td>
      </tr>
      <tr>
        <td id="L1159" class="blob-num js-line-number" data-line-number="1159"></td>
        <td id="LC1159" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>arange</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span>)</td>
      </tr>
      <tr>
        <td id="L1160" class="blob-num js-line-number" data-line-number="1160"></td>
        <td id="LC1160" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>random</span>.<span class=pl-en>shuffle</span>(<span class=pl-s1>indices</span>)</td>
      </tr>
      <tr>
        <td id="L1161" class="blob-num js-line-number" data-line-number="1161"></td>
        <td id="LC1161" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1162" class="blob-num js-line-number" data-line-number="1162"></td>
        <td id="LC1162" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>new_sample</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1163" class="blob-num js-line-number" data-line-number="1163"></td>
        <td id="LC1163" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1164" class="blob-num js-line-number" data-line-number="1164"></td>
        <td id="LC1164" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>indices</span>:</td>
      </tr>
      <tr>
        <td id="L1165" class="blob-num js-line-number" data-line-number="1165"></td>
        <td id="LC1165" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>new_sample</span>.<span class=pl-en>append</span>(<span class=pl-s1>sample</span>[<span class=pl-s1>i</span>])</td>
      </tr>
      <tr>
        <td id="L1166" class="blob-num js-line-number" data-line-number="1166"></td>
        <td id="LC1166" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>new_sample</span></td>
      </tr>
      <tr>
        <td id="L1167" class="blob-num js-line-number" data-line-number="1167"></td>
        <td id="LC1167" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1168" class="blob-num js-line-number" data-line-number="1168"></td>
        <td id="LC1168" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>cv_index</span>(<span class=pl-s1>n</span>,<span class=pl-s1>k</span>):</td>
      </tr>
      <tr>
        <td id="L1169" class="blob-num js-line-number" data-line-number="1169"></td>
        <td id="LC1169" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Generates the indices used to slice the sample into the k-folds for cross</span></td>
      </tr>
      <tr>
        <td id="L1170" class="blob-num js-line-number" data-line-number="1170"></td>
        <td id="LC1170" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    validation.</span></td>
      </tr>
      <tr>
        <td id="L1171" class="blob-num js-line-number" data-line-number="1171"></td>
        <td id="LC1171" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1172" class="blob-num js-line-number" data-line-number="1172"></td>
        <td id="LC1172" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>n_k</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-s1>n</span><span class=pl-c1>/</span><span class=pl-s1>k</span>))</td>
      </tr>
      <tr>
        <td id="L1173" class="blob-num js-line-number" data-line-number="1173"></td>
        <td id="LC1173" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1174" class="blob-num js-line-number" data-line-number="1174"></td>
        <td id="LC1174" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>n</span><span class=pl-c1>%</span><span class=pl-s1>k</span> <span class=pl-c1>!=</span> <span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L1175" class="blob-num js-line-number" data-line-number="1175"></td>
        <td id="LC1175" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>arange</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span>,<span class=pl-s1>n_k</span>)[<span class=pl-c1>0</span>:<span class=pl-c1>-</span><span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L1176" class="blob-num js-line-number" data-line-number="1176"></td>
        <td id="LC1176" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1177" class="blob-num js-line-number" data-line-number="1177"></td>
        <td id="LC1177" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1178" class="blob-num js-line-number" data-line-number="1178"></td>
        <td id="LC1178" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>arange</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span>,<span class=pl-s1>n_k</span>)</td>
      </tr>
      <tr>
        <td id="L1179" class="blob-num js-line-number" data-line-number="1179"></td>
        <td id="LC1179" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1180" class="blob-num js-line-number" data-line-number="1180"></td>
        <td id="LC1180" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>indices</span></td>
      </tr>
      <tr>
        <td id="L1181" class="blob-num js-line-number" data-line-number="1181"></td>
        <td id="LC1181" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1182" class="blob-num js-line-number" data-line-number="1182"></td>
        <td id="LC1182" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>cv_loss</span>(<span class=pl-s1>a</span>,<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>progress</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>):</td>
      </tr>
      <tr>
        <td id="L1183" class="blob-num js-line-number" data-line-number="1183"></td>
        <td id="LC1183" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This fucntion is used to compute for the loss function in cross-validation. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1184" class="blob-num js-line-number" data-line-number="1184"></td>
        <td id="LC1184" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-en>cv_index</span>(<span class=pl-s1>n</span>,<span class=pl-s1>k</span>)</td>
      </tr>
      <tr>
        <td id="L1185" class="blob-num js-line-number" data-line-number="1185"></td>
        <td id="LC1185" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f_n</span><span class=pl-c1>=</span><span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>a</span>,<span class=pl-s1>n</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>False</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1186" class="blob-num js-line-number" data-line-number="1186"></td>
        <td id="LC1186" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fs</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1187" class="blob-num js-line-number" data-line-number="1187"></td>
        <td id="LC1187" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix_slices</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1188" class="blob-num js-line-number" data-line-number="1188"></td>
        <td id="LC1188" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>inv_trans_matrix_slices</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1189" class="blob-num js-line-number" data-line-number="1189"></td>
        <td id="LC1189" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix_slices</span>.<span class=pl-en>append</span>(<span class=pl-s1>trans_matrix</span>[<span class=pl-s1>indices</span>[<span class=pl-c1>1</span>]:])</td>
      </tr>
      <tr>
        <td id="L1190" class="blob-num js-line-number" data-line-number="1190"></td>
        <td id="LC1190" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix_slices</span>.<span class=pl-en>append</span>(<span class=pl-s1>trans_matrix</span>[:<span class=pl-s1>indices</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]])</td>
      </tr>
      <tr>
        <td id="L1191" class="blob-num js-line-number" data-line-number="1191"></td>
        <td id="LC1191" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>inv_trans_matrix_slices</span>.<span class=pl-en>append</span>(<span class=pl-s1>trans_matrix</span>[:<span class=pl-s1>indices</span>[<span class=pl-c1>1</span>]])</td>
      </tr>
      <tr>
        <td id="L1192" class="blob-num js-line-number" data-line-number="1192"></td>
        <td id="LC1192" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>inv_trans_matrix_slices</span>.<span class=pl-en>append</span>(<span class=pl-s1>trans_matrix</span>[<span class=pl-s1>indices</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>]:])</td>
      </tr>
      <tr>
        <td id="L1193" class="blob-num js-line-number" data-line-number="1193"></td>
        <td id="LC1193" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-s1>progress</span></td>
      </tr>
      <tr>
        <td id="L1194" class="blob-num js-line-number" data-line-number="1194"></td>
        <td id="LC1194" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>loss</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1195" class="blob-num js-line-number" data-line-number="1195"></td>
        <td id="LC1195" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1196" class="blob-num js-line-number" data-line-number="1196"></td>
        <td id="LC1196" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>1</span>,<span class=pl-en>len</span>(<span class=pl-s1>indices</span>)<span class=pl-c1>-</span><span class=pl-c1>1</span>):</td>
      </tr>
      <tr>
        <td id="L1197" class="blob-num js-line-number" data-line-number="1197"></td>
        <td id="LC1197" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>trans_matrix_slices</span>.<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-en>concatenate</span>((<span class=pl-s1>trans_matrix</span>[:<span class=pl-s1>indices</span>[<span class=pl-s1>i</span>]],<span class=pl-s1>trans_matrix</span>[<span class=pl-s1>indices</span>[<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-c1>1</span>]:])))</td>
      </tr>
      <tr>
        <td id="L1198" class="blob-num js-line-number" data-line-number="1198"></td>
        <td id="LC1198" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>inv_trans_matrix_slices</span>.<span class=pl-en>append</span>(<span class=pl-s1>trans_matrix</span>[<span class=pl-s1>indices</span>[<span class=pl-s1>i</span>]:<span class=pl-s1>indices</span>[<span class=pl-s1>i</span><span class=pl-c1>+</span><span class=pl-c1>1</span>]])</td>
      </tr>
      <tr>
        <td id="L1199" class="blob-num js-line-number" data-line-number="1199"></td>
        <td id="LC1199" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1200" class="blob-num js-line-number" data-line-number="1200"></td>
        <td id="LC1200" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>t</span>,<span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>zip</span>(<span class=pl-s1>trans_matrix_slices</span>,<span class=pl-s1>inv_trans_matrix_slices</span>):</td>
      </tr>
      <tr>
        <td id="L1201" class="blob-num js-line-number" data-line-number="1201"></td>
        <td id="LC1201" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>trans_matrix_slice_long</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>t</span>)</td>
      </tr>
      <tr>
        <td id="L1202" class="blob-num js-line-number" data-line-number="1202"></td>
        <td id="LC1202" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>inv_trans_matrix_slice_long</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>i</span>)</td>
      </tr>
      <tr>
        <td id="L1203" class="blob-num js-line-number" data-line-number="1203"></td>
        <td id="LC1203" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>n</span><span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>t</span>)</td>
      </tr>
      <tr>
        <td id="L1204" class="blob-num js-line-number" data-line-number="1204"></td>
        <td id="LC1204" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>n_i</span> <span class=pl-c1>=</span> <span class=pl-en>len</span>(<span class=pl-s1>i</span>)</td>
      </tr>
      <tr>
        <td id="L1205" class="blob-num js-line-number" data-line-number="1205"></td>
        <td id="LC1205" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>val_f</span><span class=pl-c1>=</span><span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>a</span>,<span class=pl-s1>n</span>,<span class=pl-s1>trans_matrix_slice_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>False</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>).<span class=pl-s1>x</span></td>
      </tr>
      <tr>
        <td id="L1206" class="blob-num js-line-number" data-line-number="1206"></td>
        <td id="LC1206" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>fs</span>.<span class=pl-en>append</span>(<span class=pl-s1>val_f</span>)</td>
      </tr>
      <tr>
        <td id="L1207" class="blob-num js-line-number" data-line-number="1207"></td>
        <td id="LC1207" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>loss</span><span class=pl-c1>+=</span><span class=pl-en>likelihood_l</span>(<span class=pl-s1>val_f</span>,<span class=pl-s1>inv_trans_matrix_slice_long</span>,<span class=pl-s1>n_i</span>)</td>
      </tr>
      <tr>
        <td id="L1208" class="blob-num js-line-number" data-line-number="1208"></td>
        <td id="LC1208" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>j</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1209" class="blob-num js-line-number" data-line-number="1209"></td>
        <td id="LC1209" class="blob-code blob-code-inner js-file-line">        <span class=pl-en>updt_cv</span>(<span class=pl-s1>total</span>,<span class=pl-s1>j</span>,<span class=pl-s1>time_start</span>)</td>
      </tr>
      <tr>
        <td id="L1210" class="blob-num js-line-number" data-line-number="1210"></td>
        <td id="LC1210" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1211" class="blob-num js-line-number" data-line-number="1211"></td>
        <td id="LC1211" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>f_n</span>.<span class=pl-s1>x</span>,<span class=pl-s1>loss</span><span class=pl-c1>/</span><span class=pl-s1>k</span>,<span class=pl-s1>j</span></td>
      </tr>
      <tr>
        <td id="L1212" class="blob-num js-line-number" data-line-number="1212"></td>
        <td id="LC1212" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1213" class="blob-num js-line-number" data-line-number="1213"></td>
        <td id="LC1213" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>quarter_selector</span>(<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>progress</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>):</td>
      </tr>
      <tr>
        <td id="L1214" class="blob-num js-line-number" data-line-number="1214"></td>
        <td id="LC1214" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the implementation of the modified k-fold cross validation method. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1215" class="blob-num js-line-number" data-line-number="1215"></td>
        <td id="LC1215" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span></td>
      </tr>
      <tr>
        <td id="L1216" class="blob-num js-line-number" data-line-number="1216"></td>
        <td id="LC1216" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>len_a</span> <span class=pl-c1>=</span><span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)</td>
      </tr>
      <tr>
        <td id="L1217" class="blob-num js-line-number" data-line-number="1217"></td>
        <td id="LC1217" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>quart_a</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-s1>len_a</span>)<span class=pl-c1>*</span><span class=pl-c1>0.75</span>)</td>
      </tr>
      <tr>
        <td id="L1218" class="blob-num js-line-number" data-line-number="1218"></td>
        <td id="LC1218" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>p</span>,<span class=pl-s1>q</span><span class=pl-c1>=</span><span class=pl-s1>random</span>.<span class=pl-en>randint</span>(<span class=pl-c1>0</span>,<span class=pl-s1>quart_a</span><span class=pl-c1>-</span><span class=pl-c1>1</span>),<span class=pl-s1>random</span>.<span class=pl-en>randint</span>(<span class=pl-s1>quart_a</span>,<span class=pl-s1>len_a</span><span class=pl-c1>-</span><span class=pl-c1>1</span>)</td>
      </tr>
      <tr>
        <td id="L1219" class="blob-num js-line-number" data-line-number="1219"></td>
        <td id="LC1219" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>a_p</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span>[<span class=pl-s1>p</span>]</td>
      </tr>
      <tr>
        <td id="L1220" class="blob-num js-line-number" data-line-number="1220"></td>
        <td id="LC1220" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>a_q</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span>[<span class=pl-s1>q</span>]</td>
      </tr>
      <tr>
        <td id="L1221" class="blob-num js-line-number" data-line-number="1221"></td>
        <td id="LC1221" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val1</span><span class=pl-c1>=</span><span class=pl-en>cv_loss</span>(<span class=pl-s1>a_p</span>,<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>progress</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1222" class="blob-num js-line-number" data-line-number="1222"></td>
        <td id="LC1222" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>progress_updt</span> <span class=pl-c1>=</span> <span class=pl-s1>val1</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1223" class="blob-num js-line-number" data-line-number="1223"></td>
        <td id="LC1223" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val2</span><span class=pl-c1>=</span><span class=pl-en>cv_loss</span>(<span class=pl-s1>a_q</span>,<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>progress_updt</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1224" class="blob-num js-line-number" data-line-number="1224"></td>
        <td id="LC1224" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>delete</span>(<span class=pl-s1>alphas</span>,[<span class=pl-s1>p</span>,<span class=pl-s1>q</span>])</td>
      </tr>
      <tr>
        <td id="L1225" class="blob-num js-line-number" data-line-number="1225"></td>
        <td id="LC1225" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1226" class="blob-num js-line-number" data-line-number="1226"></td>
        <td id="LC1226" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>val1</span>[<span class=pl-c1>1</span>] <span class=pl-c1>&lt;</span> <span class=pl-s1>val2</span>[<span class=pl-c1>1</span>]:</td>
      </tr>
      <tr>
        <td id="L1227" class="blob-num js-line-number" data-line-number="1227"></td>
        <td id="LC1227" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span>[:<span class=pl-s1>quart_a</span><span class=pl-c1>-</span><span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1228" class="blob-num js-line-number" data-line-number="1228"></td>
        <td id="LC1228" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>val1</span>[<span class=pl-c1>0</span>],<span class=pl-s1>alphas</span>,<span class=pl-s1>val1</span>[<span class=pl-c1>1</span>],<span class=pl-s1>val2</span>[<span class=pl-c1>2</span>],<span class=pl-s1>a_p</span></td>
      </tr>
      <tr>
        <td id="L1229" class="blob-num js-line-number" data-line-number="1229"></td>
        <td id="LC1229" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1230" class="blob-num js-line-number" data-line-number="1230"></td>
        <td id="LC1230" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1231" class="blob-num js-line-number" data-line-number="1231"></td>
        <td id="LC1231" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span>[<span class=pl-s1>quart_a</span><span class=pl-c1>-</span><span class=pl-c1>1</span>:<span class=pl-s1>len_a</span><span class=pl-c1>-</span><span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1232" class="blob-num js-line-number" data-line-number="1232"></td>
        <td id="LC1232" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>val2</span>[<span class=pl-c1>0</span>],<span class=pl-s1>alphas</span>,<span class=pl-s1>val2</span>[<span class=pl-c1>1</span>],<span class=pl-s1>val2</span>[<span class=pl-c1>2</span>],<span class=pl-s1>a_q</span></td>
      </tr>
      <tr>
        <td id="L1233" class="blob-num js-line-number" data-line-number="1233"></td>
        <td id="LC1233" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1234" class="blob-num js-line-number" data-line-number="1234"></td>
        <td id="LC1234" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>rmle_2d</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>tmat</span>,<span class=pl-s1>shift</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>k</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>jacobian</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>initial_guess</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>hessian_method</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>tolerance</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>max_iter</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-c1>None</span>):</td>
      </tr>
      <tr>
        <td id="L1235" class="blob-num js-line-number" data-line-number="1235"></td>
        <td id="LC1235" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is a sub-function of rmle(). This is a wrapper function for the SciPy Optimize minimize()</span></td>
      </tr>
      <tr>
        <td id="L1236" class="blob-num js-line-number" data-line-number="1236"></td>
        <td id="LC1236" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    function. It has 3 essential arguments which are: {functional, alpha, tmat}. </span></td>
      </tr>
      <tr>
        <td id="L1237" class="blob-num js-line-number" data-line-number="1237"></td>
        <td id="LC1237" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1238" class="blob-num js-line-number" data-line-number="1238"></td>
        <td id="LC1238" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Essential/Positional arguments:</span></td>
      </tr>
      <tr>
        <td id="L1239" class="blob-num js-line-number" data-line-number="1239"></td>
        <td id="LC1239" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1240" class="blob-num js-line-number" data-line-number="1240"></td>
        <td id="LC1240" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional - the choice of regularization functional</span></td>
      </tr>
      <tr>
        <td id="L1241" class="blob-num js-line-number" data-line-number="1241"></td>
        <td id="LC1241" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1242" class="blob-num js-line-number" data-line-number="1242"></td>
        <td id="LC1242" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    alpha - the choice of the alpha parameter which can be a constant or a string matching &#39;cv&#39; or &#39;lepskii&#39;</span></td>
      </tr>
      <tr>
        <td id="L1243" class="blob-num js-line-number" data-line-number="1243"></td>
        <td id="LC1243" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1244" class="blob-num js-line-number" data-line-number="1244"></td>
        <td id="LC1244" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    tmat - the class object tmatrix generated by the the transmatrix() function. This contains the </span></td>
      </tr>
      <tr>
        <td id="L1245" class="blob-num js-line-number" data-line-number="1245"></td>
        <td id="LC1245" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    transformation matrix used in the evaluation of the functional and its jacobian.</span></td>
      </tr>
      <tr>
        <td id="L1246" class="blob-num js-line-number" data-line-number="1246"></td>
        <td id="LC1246" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1247" class="blob-num js-line-number" data-line-number="1247"></td>
        <td id="LC1247" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Optional arguments:</span></td>
      </tr>
      <tr>
        <td id="L1248" class="blob-num js-line-number" data-line-number="1248"></td>
        <td id="LC1248" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1249" class="blob-num js-line-number" data-line-number="1249"></td>
        <td id="LC1249" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    shift - Unused for rmle_2d()</span></td>
      </tr>
      <tr>
        <td id="L1250" class="blob-num js-line-number" data-line-number="1250"></td>
        <td id="LC1250" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1251" class="blob-num js-line-number" data-line-number="1251"></td>
        <td id="LC1251" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    k - an integer value that specifies the number of folds to be used in k-fold cross validation</span></td>
      </tr>
      <tr>
        <td id="L1252" class="blob-num js-line-number" data-line-number="1252"></td>
        <td id="LC1252" class="blob-code blob-code-inner js-file-line"><span class=pl-s>     </span></td>
      </tr>
      <tr>
        <td id="L1253" class="blob-num js-line-number" data-line-number="1253"></td>
        <td id="LC1253" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    jacobian - accepts a function as an argument or string type, for more options the please refer to the</span></td>
      </tr>
      <tr>
        <td id="L1254" class="blob-num js-line-number" data-line-number="1254"></td>
        <td id="LC1254" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    documentation of SciPy&#39;s minimize function for more details. In the case of this module, the jacobian of </span></td>
      </tr>
      <tr>
        <td id="L1255" class="blob-num js-line-number" data-line-number="1255"></td>
        <td id="LC1255" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional&#39;s explicit form is provided in the form of a function. We advise to keep this argument to its</span></td>
      </tr>
      <tr>
        <td id="L1256" class="blob-num js-line-number" data-line-number="1256"></td>
        <td id="LC1256" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    default status.</span></td>
      </tr>
      <tr>
        <td id="L1257" class="blob-num js-line-number" data-line-number="1257"></td>
        <td id="LC1257" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1258" class="blob-num js-line-number" data-line-number="1258"></td>
        <td id="LC1258" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    intiial_guess - an array argument that matches the dimensions of \hat{f_<span class=pl-cce>\b</span>beta}.</span></td>
      </tr>
      <tr>
        <td id="L1259" class="blob-num js-line-number" data-line-number="1259"></td>
        <td id="LC1259" class="blob-code blob-code-inner js-file-line"><span class=pl-s>     </span></td>
      </tr>
      <tr>
        <td id="L1260" class="blob-num js-line-number" data-line-number="1260"></td>
        <td id="LC1260" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    hessian_method -  the default is the &#39;2-point&#39; method implemented in the SciPy library. The user can </span></td>
      </tr>
      <tr>
        <td id="L1261" class="blob-num js-line-number" data-line-number="1261"></td>
        <td id="LC1261" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    provide the other hessian methods avaiable to the scipy optimize minimize() function.</span></td>
      </tr>
      <tr>
        <td id="L1262" class="blob-num js-line-number" data-line-number="1262"></td>
        <td id="LC1262" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1263" class="blob-num js-line-number" data-line-number="1263"></td>
        <td id="LC1263" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    constraints - the linear constraint for the optimization problem, namely: ||\hat{f_<span class=pl-cce>\b</span>beta}||_L1 = 1 i.e.</span></td>
      </tr>
      <tr>
        <td id="L1264" class="blob-num js-line-number" data-line-number="1264"></td>
        <td id="LC1264" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the estimate \hat{f_<span class=pl-cce>\b</span>beta} should integrate to 1.</span></td>
      </tr>
      <tr>
        <td id="L1265" class="blob-num js-line-number" data-line-number="1265"></td>
        <td id="LC1265" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1266" class="blob-num js-line-number" data-line-number="1266"></td>
        <td id="LC1266" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    tolerance - a floating point argument that sets the tolerance value for the optimization problem.</span></td>
      </tr>
      <tr>
        <td id="L1267" class="blob-num js-line-number" data-line-number="1267"></td>
        <td id="LC1267" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1268" class="blob-num js-line-number" data-line-number="1268"></td>
        <td id="LC1268" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    max_iter - an integer that sets the maximum number of iterations.</span></td>
      </tr>
      <tr>
        <td id="L1269" class="blob-num js-line-number" data-line-number="1269"></td>
        <td id="LC1269" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1270" class="blob-num js-line-number" data-line-number="1270"></td>
        <td id="LC1270" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    bounds - sets the bounds for the values of the estimate, the default value is a non-negativity constraint.</span></td>
      </tr>
      <tr>
        <td id="L1271" class="blob-num js-line-number" data-line-number="1271"></td>
        <td id="LC1271" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span> </td>
      </tr>
      <tr>
        <td id="L1272" class="blob-num js-line-number" data-line-number="1272"></td>
        <td id="LC1272" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>st</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1273" class="blob-num js-line-number" data-line-number="1273"></td>
        <td id="LC1273" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>n</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-en>n</span>()</td>
      </tr>
      <tr>
        <td id="L1274" class="blob-num js-line-number" data-line-number="1274"></td>
        <td id="LC1274" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>m</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-en>m</span>()</td>
      </tr>
      <tr>
        <td id="L1275" class="blob-num js-line-number" data-line-number="1275"></td>
        <td id="LC1275" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>step_size</span> <span class=pl-c1>=</span> <span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L1276" class="blob-num js-line-number" data-line-number="1276"></td>
        <td id="LC1276" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix_long</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>tmat</span>.<span class=pl-v>Tmat</span>)</td>
      </tr>
      <tr>
        <td id="L1277" class="blob-num js-line-number" data-line-number="1277"></td>
        <td id="LC1277" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix</span> <span class=pl-c1>=</span> <span class=pl-s1>tmat</span>.<span class=pl-v>Tmat</span></td>
      </tr>
      <tr>
        <td id="L1278" class="blob-num js-line-number" data-line-number="1278"></td>
        <td id="LC1278" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>lepskii_matches</span> <span class=pl-c1>=</span> [<span class=pl-s>&#39;lep&#39;</span>,<span class=pl-s>&#39;lepskii&#39;</span>,<span class=pl-s>&#39;lepskii<span class=pl-cce>\&#39;</span>s principle&#39;</span>, <span class=pl-s>&#39;lp&#39;</span>]</td>
      </tr>
      <tr>
        <td id="L1279" class="blob-num js-line-number" data-line-number="1279"></td>
        <td id="LC1279" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>cv_matches</span> <span class=pl-c1>=</span> [<span class=pl-s>&#39;cv&#39;</span>,<span class=pl-s>&#39;cross&#39;</span>,<span class=pl-s>&#39;cross val&#39;</span>, <span class=pl-s>&#39;validation&#39;</span>,<span class=pl-s>&#39;crossvalidation&#39;</span>,<span class=pl-s>&#39;cross-validation&#39;</span>]</td>
      </tr>
      <tr>
        <td id="L1280" class="blob-num js-line-number" data-line-number="1280"></td>
        <td id="LC1280" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1281" class="blob-num js-line-number" data-line-number="1281"></td>
        <td id="LC1281" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s>&#39;3d&#39;</span> <span class=pl-c1>in</span> <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>):</td>
      </tr>
      <tr>
        <td id="L1282" class="blob-num js-line-number" data-line-number="1282"></td>
        <td id="LC1282" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>raise</span> <span class=pl-v>ValueError</span>(<span class=pl-s>&quot;The 2-dimensional implementation requires a matching 2-dimensional functional. <span class=pl-cce>\</span></span></td>
      </tr>
      <tr>
        <td id="L1283" class="blob-num js-line-number" data-line-number="1283"></td>
        <td id="LC1283" class="blob-code blob-code-inner js-file-line"><span class=pl-s><span class=pl-cce></span>Try to supply any of the accepted functional values: {likelihood, norm_sq, sobolev, entropy}&quot;</span>)</td>
      </tr>
      <tr>
        <td id="L1284" class="blob-num js-line-number" data-line-number="1284"></td>
        <td id="LC1284" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1285" class="blob-num js-line-number" data-line-number="1285"></td>
        <td id="LC1285" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>initial_guess</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L1286" class="blob-num js-line-number" data-line-number="1286"></td>
        <td id="LC1286" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>initial_guess</span> <span class=pl-c1>=</span> <span class=pl-s1>initial_guess</span></td>
      </tr>
      <tr>
        <td id="L1287" class="blob-num js-line-number" data-line-number="1287"></td>
        <td id="LC1287" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1288" class="blob-num js-line-number" data-line-number="1288"></td>
        <td id="LC1288" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1289" class="blob-num js-line-number" data-line-number="1289"></td>
        <td id="LC1289" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>initial_guess</span> <span class=pl-c1>=</span> <span class=pl-en>initial_gauss</span>(<span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L1290" class="blob-num js-line-number" data-line-number="1290"></td>
        <td id="LC1290" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1291" class="blob-num js-line-number" data-line-number="1291"></td>
        <td id="LC1291" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>jacobian</span>:</td>
      </tr>
      <tr>
        <td id="L1292" class="blob-num js-line-number" data-line-number="1292"></td>
        <td id="LC1292" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>likelihood</span>:</td>
      </tr>
      <tr>
        <td id="L1293" class="blob-num js-line-number" data-line-number="1293"></td>
        <td id="LC1293" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_likelihood</span></td>
      </tr>
      <tr>
        <td id="L1294" class="blob-num js-line-number" data-line-number="1294"></td>
        <td id="LC1294" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>norm_sq</span>:</td>
      </tr>
      <tr>
        <td id="L1295" class="blob-num js-line-number" data-line-number="1295"></td>
        <td id="LC1295" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_norm_sq</span></td>
      </tr>
      <tr>
        <td id="L1296" class="blob-num js-line-number" data-line-number="1296"></td>
        <td id="LC1296" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>sobolev</span>:</td>
      </tr>
      <tr>
        <td id="L1297" class="blob-num js-line-number" data-line-number="1297"></td>
        <td id="LC1297" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_sobolev</span></td>
      </tr>
      <tr>
        <td id="L1298" class="blob-num js-line-number" data-line-number="1298"></td>
        <td id="LC1298" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>entropy</span>:</td>
      </tr>
      <tr>
        <td id="L1299" class="blob-num js-line-number" data-line-number="1299"></td>
        <td id="LC1299" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span>  <span class=pl-s1>jac_entropy</span></td>
      </tr>
      <tr>
        <td id="L1300" class="blob-num js-line-number" data-line-number="1300"></td>
        <td id="LC1300" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1301" class="blob-num js-line-number" data-line-number="1301"></td>
        <td id="LC1301" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1302" class="blob-num js-line-number" data-line-number="1302"></td>
        <td id="LC1302" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jacobian</span></td>
      </tr>
      <tr>
        <td id="L1303" class="blob-num js-line-number" data-line-number="1303"></td>
        <td id="LC1303" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1304" class="blob-num js-line-number" data-line-number="1304"></td>
        <td id="LC1304" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>hessian_method</span>:</td>
      </tr>
      <tr>
        <td id="L1305" class="blob-num js-line-number" data-line-number="1305"></td>
        <td id="LC1305" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>hessian_method</span> <span class=pl-c1>=</span> <span class=pl-s>&#39;2-point&#39;</span></td>
      </tr>
      <tr>
        <td id="L1306" class="blob-num js-line-number" data-line-number="1306"></td>
        <td id="LC1306" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1307" class="blob-num js-line-number" data-line-number="1307"></td>
        <td id="LC1307" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1308" class="blob-num js-line-number" data-line-number="1308"></td>
        <td id="LC1308" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>hessian_method</span> <span class=pl-c1>=</span> <span class=pl-s1>hessian_method</span></td>
      </tr>
      <tr>
        <td id="L1309" class="blob-num js-line-number" data-line-number="1309"></td>
        <td id="LC1309" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1310" class="blob-num js-line-number" data-line-number="1310"></td>
        <td id="LC1310" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>constraints</span>:</td>
      </tr>
      <tr>
        <td id="L1311" class="blob-num js-line-number" data-line-number="1311"></td>
        <td id="LC1311" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>linear_constraint</span><span class=pl-c1>=</span><span class=pl-s1>scop</span>.<span class=pl-v>LinearConstraint</span>([<span class=pl-s1>step_size</span><span class=pl-c1>**</span><span class=pl-c1>2</span>]<span class=pl-c1>*</span><span class=pl-en>len</span>(<span class=pl-s1>initial_guess</span>),[<span class=pl-c1>1</span>],[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1312" class="blob-num js-line-number" data-line-number="1312"></td>
        <td id="LC1312" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>constraints</span> <span class=pl-c1>=</span> <span class=pl-s1>linear_constraint</span></td>
      </tr>
      <tr>
        <td id="L1313" class="blob-num js-line-number" data-line-number="1313"></td>
        <td id="LC1313" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1314" class="blob-num js-line-number" data-line-number="1314"></td>
        <td id="LC1314" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1315" class="blob-num js-line-number" data-line-number="1315"></td>
        <td id="LC1315" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>constraints</span> <span class=pl-c1>=</span> <span class=pl-s1>constraints</span></td>
      </tr>
      <tr>
        <td id="L1316" class="blob-num js-line-number" data-line-number="1316"></td>
        <td id="LC1316" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1317" class="blob-num js-line-number" data-line-number="1317"></td>
        <td id="LC1317" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>tolerance</span>:</td>
      </tr>
      <tr>
        <td id="L1318" class="blob-num js-line-number" data-line-number="1318"></td>
        <td id="LC1318" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>tolerance</span> <span class=pl-c1>=</span> <span class=pl-c1>1e-12</span></td>
      </tr>
      <tr>
        <td id="L1319" class="blob-num js-line-number" data-line-number="1319"></td>
        <td id="LC1319" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1320" class="blob-num js-line-number" data-line-number="1320"></td>
        <td id="LC1320" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1321" class="blob-num js-line-number" data-line-number="1321"></td>
        <td id="LC1321" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>tolerance</span> <span class=pl-c1>=</span> <span class=pl-s1>tolerance</span></td>
      </tr>
      <tr>
        <td id="L1322" class="blob-num js-line-number" data-line-number="1322"></td>
        <td id="LC1322" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1323" class="blob-num js-line-number" data-line-number="1323"></td>
        <td id="LC1323" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>max_iter</span>:</td>
      </tr>
      <tr>
        <td id="L1324" class="blob-num js-line-number" data-line-number="1324"></td>
        <td id="LC1324" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>max_iter</span> <span class=pl-c1>=</span> <span class=pl-c1>10</span><span class=pl-c1>*</span><span class=pl-s1>m</span></td>
      </tr>
      <tr>
        <td id="L1325" class="blob-num js-line-number" data-line-number="1325"></td>
        <td id="LC1325" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1326" class="blob-num js-line-number" data-line-number="1326"></td>
        <td id="LC1326" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L1327" class="blob-num js-line-number" data-line-number="1327"></td>
        <td id="LC1327" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>max_iter</span> <span class=pl-c1>=</span> <span class=pl-s1>max_iter</span></td>
      </tr>
      <tr>
        <td id="L1328" class="blob-num js-line-number" data-line-number="1328"></td>
        <td id="LC1328" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1329" class="blob-num js-line-number" data-line-number="1329"></td>
        <td id="LC1329" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>bounds</span>:</td>
      </tr>
      <tr>
        <td id="L1330" class="blob-num js-line-number" data-line-number="1330"></td>
        <td id="LC1330" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>bound</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-v>Bounds</span>(<span class=pl-c1>0</span>,<span class=pl-s1>np</span>.<span class=pl-s1>inf</span>)</td>
      </tr>
      <tr>
        <td id="L1331" class="blob-num js-line-number" data-line-number="1331"></td>
        <td id="LC1331" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1332" class="blob-num js-line-number" data-line-number="1332"></td>
        <td id="LC1332" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1333" class="blob-num js-line-number" data-line-number="1333"></td>
        <td id="LC1333" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>bound</span> <span class=pl-c1>=</span> <span class=pl-s1>bounds</span></td>
      </tr>
      <tr>
        <td id="L1334" class="blob-num js-line-number" data-line-number="1334"></td>
        <td id="LC1334" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1335" class="blob-num js-line-number" data-line-number="1335"></td>
        <td id="LC1335" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>k</span>:</td>
      </tr>
      <tr>
        <td id="L1336" class="blob-num js-line-number" data-line-number="1336"></td>
        <td id="LC1336" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-c1>10</span></td>
      </tr>
      <tr>
        <td id="L1337" class="blob-num js-line-number" data-line-number="1337"></td>
        <td id="LC1337" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1338" class="blob-num js-line-number" data-line-number="1338"></td>
        <td id="LC1338" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1339" class="blob-num js-line-number" data-line-number="1339"></td>
        <td id="LC1339" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>k</span></td>
      </tr>
      <tr>
        <td id="L1340" class="blob-num js-line-number" data-line-number="1340"></td>
        <td id="LC1340" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1341" class="blob-num js-line-number" data-line-number="1341"></td>
        <td id="LC1341" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-en>any</span>(<span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>str</span>.<span class=pl-en>lower</span>(<span class=pl-en>str</span>(<span class=pl-s1>alpha</span>)) <span class=pl-k>for</span> <span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>lepskii_matches</span>):</td>
      </tr>
      <tr>
        <td id="L1342" class="blob-num js-line-number" data-line-number="1342"></td>
        <td id="LC1342" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>r</span><span class=pl-c1>=</span><span class=pl-c1>1.2</span></td>
      </tr>
      <tr>
        <td id="L1343" class="blob-num js-line-number" data-line-number="1343"></td>
        <td id="LC1343" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-en>alpha_lep</span>(<span class=pl-c1>70</span>,<span class=pl-s1>n</span>,<span class=pl-s1>r</span>)</td>
      </tr>
      <tr>
        <td id="L1344" class="blob-num js-line-number" data-line-number="1344"></td>
        <td id="LC1344" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>reconstructions</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1345" class="blob-num js-line-number" data-line-number="1345"></td>
        <td id="LC1345" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>total</span> <span class=pl-c1>=</span> <span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)</td>
      </tr>
      <tr>
        <td id="L1346" class="blob-num js-line-number" data-line-number="1346"></td>
        <td id="LC1346" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i_range</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>arange</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>alphas</span>))</td>
      </tr>
      <tr>
        <td id="L1347" class="blob-num js-line-number" data-line-number="1347"></td>
        <td id="LC1347" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1348" class="blob-num js-line-number" data-line-number="1348"></td>
        <td id="LC1348" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>times</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1349" class="blob-num js-line-number" data-line-number="1349"></td>
        <td id="LC1349" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1350" class="blob-num js-line-number" data-line-number="1350"></td>
        <td id="LC1350" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>a</span> <span class=pl-c1>in</span> <span class=pl-s1>alphas</span>:</td>
      </tr>
      <tr>
        <td id="L1351" class="blob-num js-line-number" data-line-number="1351"></td>
        <td id="LC1351" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>rec</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>a</span>,<span class=pl-s1>n</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>False</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1352" class="blob-num js-line-number" data-line-number="1352"></td>
        <td id="LC1352" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>rec</span>.<span class=pl-s1>x</span>)</td>
      </tr>
      <tr>
        <td id="L1353" class="blob-num js-line-number" data-line-number="1353"></td>
        <td id="LC1353" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1354" class="blob-num js-line-number" data-line-number="1354"></td>
        <td id="LC1354" class="blob-code blob-code-inner js-file-line">            <span class=pl-en>updt</span>(<span class=pl-s1>total</span>,<span class=pl-s1>j</span>)</td>
      </tr>
      <tr>
        <td id="L1355" class="blob-num js-line-number" data-line-number="1355"></td>
        <td id="LC1355" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>approx_errs</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1356" class="blob-num js-line-number" data-line-number="1356"></td>
        <td id="LC1356" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1357" class="blob-num js-line-number" data-line-number="1357"></td>
        <td id="LC1357" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>1</span>,<span class=pl-en>len</span>(<span class=pl-s1>reconstructions</span>)):</td>
      </tr>
      <tr>
        <td id="L1358" class="blob-num js-line-number" data-line-number="1358"></td>
        <td id="LC1358" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jj</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1359" class="blob-num js-line-number" data-line-number="1359"></td>
        <td id="LC1359" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>approx_error</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1360" class="blob-num js-line-number" data-line-number="1360"></td>
        <td id="LC1360" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>while</span> <span class=pl-s1>jj</span> <span class=pl-c1>&lt;</span> <span class=pl-s1>i</span>:</td>
      </tr>
      <tr>
        <td id="L1361" class="blob-num js-line-number" data-line-number="1361"></td>
        <td id="LC1361" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>approx_error</span>.<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>reconstructions</span>[<span class=pl-s1>i</span>]<span class=pl-c1>-</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>jj</span>]))</td>
      </tr>
      <tr>
        <td id="L1362" class="blob-num js-line-number" data-line-number="1362"></td>
        <td id="LC1362" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>jj</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1363" class="blob-num js-line-number" data-line-number="1363"></td>
        <td id="LC1363" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>approx_errs</span>.<span class=pl-en>append</span>(<span class=pl-s1>approx_error</span>)</td>
      </tr>
      <tr>
        <td id="L1364" class="blob-num js-line-number" data-line-number="1364"></td>
        <td id="LC1364" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>prop_errors</span><span class=pl-c1>=</span><span class=pl-en>prop_n</span>(<span class=pl-s1>r</span>,<span class=pl-c1>2</span>,<span class=pl-s1>i_range</span>)</td>
      </tr>
      <tr>
        <td id="L1365" class="blob-num js-line-number" data-line-number="1365"></td>
        <td id="LC1365" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>diffs</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1366" class="blob-num js-line-number" data-line-number="1366"></td>
        <td id="LC1366" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1367" class="blob-num js-line-number" data-line-number="1367"></td>
        <td id="LC1367" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>approx_errs</span>:</td>
      </tr>
      <tr>
        <td id="L1368" class="blob-num js-line-number" data-line-number="1368"></td>
        <td id="LC1368" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>n_p</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-en>len</span>(<span class=pl-s1>p</span>))</td>
      </tr>
      <tr>
        <td id="L1369" class="blob-num js-line-number" data-line-number="1369"></td>
        <td id="LC1369" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>diffs</span>.<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>prop_errors</span>[:<span class=pl-s1>n_p</span>])<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>p</span>))</td>
      </tr>
      <tr>
        <td id="L1370" class="blob-num js-line-number" data-line-number="1370"></td>
        <td id="LC1370" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1371" class="blob-num js-line-number" data-line-number="1371"></td>
        <td id="LC1371" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>index</span><span class=pl-c1>=</span><span class=pl-en>index_finder</span>(<span class=pl-s1>diffs</span>)</td>
      </tr>
      <tr>
        <td id="L1372" class="blob-num js-line-number" data-line-number="1372"></td>
        <td id="LC1372" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1373" class="blob-num js-line-number" data-line-number="1373"></td>
        <td id="LC1373" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L1374" class="blob-num js-line-number" data-line-number="1374"></td>
        <td id="LC1374" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1375" class="blob-num js-line-number" data-line-number="1375"></td>
        <td id="LC1375" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1376" class="blob-num js-line-number" data-line-number="1376"></td>
        <td id="LC1376" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L1377" class="blob-num js-line-number" data-line-number="1377"></td>
        <td id="LC1377" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L1378" class="blob-num js-line-number" data-line-number="1378"></td>
        <td id="LC1378" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L1379" class="blob-num js-line-number" data-line-number="1379"></td>
        <td id="LC1379" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Lepskii iterations&quot;</span>: <span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)</td>
      </tr>
      <tr>
        <td id="L1380" class="blob-num js-line-number" data-line-number="1380"></td>
        <td id="LC1380" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L1381" class="blob-num js-line-number" data-line-number="1381"></td>
        <td id="LC1381" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1382" class="blob-num js-line-number" data-line-number="1382"></td>
        <td id="LC1382" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;Lepskii&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L1383" class="blob-num js-line-number" data-line-number="1383"></td>
        <td id="LC1383" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1384" class="blob-num js-line-number" data-line-number="1384"></td>
        <td id="LC1384" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-en>any</span>(<span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>str</span>.<span class=pl-en>lower</span>(<span class=pl-en>str</span>(<span class=pl-s1>alpha</span>)) <span class=pl-k>for</span> <span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>cv_matches</span>):</td>
      </tr>
      <tr>
        <td id="L1385" class="blob-num js-line-number" data-line-number="1385"></td>
        <td id="LC1385" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-en>alpha_vals</span>(<span class=pl-s1>step_size</span><span class=pl-c1>*</span><span class=pl-c1>3</span>,<span class=pl-c1>30</span>)</td>
      </tr>
      <tr>
        <td id="L1386" class="blob-num js-line-number" data-line-number="1386"></td>
        <td id="LC1386" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>lhood</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1387" class="blob-num js-line-number" data-line-number="1387"></td>
        <td id="LC1387" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>reconstructions</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1388" class="blob-num js-line-number" data-line-number="1388"></td>
        <td id="LC1388" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alpha_list</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1389" class="blob-num js-line-number" data-line-number="1389"></td>
        <td id="LC1389" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>trans_matrix</span><span class=pl-c1>=</span><span class=pl-en>sample_shuffle</span>(<span class=pl-s1>trans_matrix</span>)</td>
      </tr>
      <tr>
        <td id="L1390" class="blob-num js-line-number" data-line-number="1390"></td>
        <td id="LC1390" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>time_start</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1391" class="blob-num js-line-number" data-line-number="1391"></td>
        <td id="LC1391" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1392" class="blob-num js-line-number" data-line-number="1392"></td>
        <td id="LC1392" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>total</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ceil</span>((<span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-c1>4</span>)<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)))<span class=pl-c1>/</span>(<span class=pl-c1>0.25</span><span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-c1>0.25</span>)<span class=pl-c1>+</span><span class=pl-c1>0.75</span><span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-c1>0.75</span>)))<span class=pl-c1>*</span><span class=pl-c1>4</span> <span class=pl-c1>*</span> <span class=pl-s1>k</span></td>
      </tr>
      <tr>
        <td id="L1393" class="blob-num js-line-number" data-line-number="1393"></td>
        <td id="LC1393" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1394" class="blob-num js-line-number" data-line-number="1394"></td>
        <td id="LC1394" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>while</span> <span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)<span class=pl-c1>&gt;</span> <span class=pl-c1>4</span>:</td>
      </tr>
      <tr>
        <td id="L1395" class="blob-num js-line-number" data-line-number="1395"></td>
        <td id="LC1395" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-en>quarter_selector</span>(<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>j</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1396" class="blob-num js-line-number" data-line-number="1396"></td>
        <td id="LC1396" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>lhood</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>2</span>])</td>
      </tr>
      <tr>
        <td id="L1397" class="blob-num js-line-number" data-line-number="1397"></td>
        <td id="LC1397" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1398" class="blob-num js-line-number" data-line-number="1398"></td>
        <td id="LC1398" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-s1>val</span>[<span class=pl-c1>3</span>]</td>
      </tr>
      <tr>
        <td id="L1399" class="blob-num js-line-number" data-line-number="1399"></td>
        <td id="LC1399" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-s1>val</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L1400" class="blob-num js-line-number" data-line-number="1400"></td>
        <td id="LC1400" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>alpha_list</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>4</span>])</td>
      </tr>
      <tr>
        <td id="L1401" class="blob-num js-line-number" data-line-number="1401"></td>
        <td id="LC1401" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1402" class="blob-num js-line-number" data-line-number="1402"></td>
        <td id="LC1402" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>a</span> <span class=pl-c1>in</span> <span class=pl-s1>alphas</span>:</td>
      </tr>
      <tr>
        <td id="L1403" class="blob-num js-line-number" data-line-number="1403"></td>
        <td id="LC1403" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-en>cv_loss</span>(<span class=pl-s1>a</span>,<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>j</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1404" class="blob-num js-line-number" data-line-number="1404"></td>
        <td id="LC1404" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>lhood</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1405" class="blob-num js-line-number" data-line-number="1405"></td>
        <td id="LC1405" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1406" class="blob-num js-line-number" data-line-number="1406"></td>
        <td id="LC1406" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>alpha_list</span>.<span class=pl-en>append</span>(<span class=pl-s1>a</span>)</td>
      </tr>
      <tr>
        <td id="L1407" class="blob-num js-line-number" data-line-number="1407"></td>
        <td id="LC1407" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-s1>val</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1408" class="blob-num js-line-number" data-line-number="1408"></td>
        <td id="LC1408" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1409" class="blob-num js-line-number" data-line-number="1409"></td>
        <td id="LC1409" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>index</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>lhood</span><span class=pl-c1>==</span><span class=pl-s1>np</span>.<span class=pl-en>min</span>(<span class=pl-s1>lhood</span>))[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1410" class="blob-num js-line-number" data-line-number="1410"></td>
        <td id="LC1410" class="blob-code blob-code-inner js-file-line">        <span class=pl-en>updt_cv</span>(<span class=pl-s1>total</span>,<span class=pl-s1>total</span>,<span class=pl-s1>time_start</span>)</td>
      </tr>
      <tr>
        <td id="L1411" class="blob-num js-line-number" data-line-number="1411"></td>
        <td id="LC1411" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1412" class="blob-num js-line-number" data-line-number="1412"></td>
        <td id="LC1412" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L1413" class="blob-num js-line-number" data-line-number="1413"></td>
        <td id="LC1413" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1414" class="blob-num js-line-number" data-line-number="1414"></td>
        <td id="LC1414" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1415" class="blob-num js-line-number" data-line-number="1415"></td>
        <td id="LC1415" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L1416" class="blob-num js-line-number" data-line-number="1416"></td>
        <td id="LC1416" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L1417" class="blob-num js-line-number" data-line-number="1417"></td>
        <td id="LC1417" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L1418" class="blob-num js-line-number" data-line-number="1418"></td>
        <td id="LC1418" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Number of CV iterations&quot;</span>: <span class=pl-s1>j</span>,</td>
      </tr>
      <tr>
        <td id="L1419" class="blob-num js-line-number" data-line-number="1419"></td>
        <td id="LC1419" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L1420" class="blob-num js-line-number" data-line-number="1420"></td>
        <td id="LC1420" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alpha_list</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;CV&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L1421" class="blob-num js-line-number" data-line-number="1421"></td>
        <td id="LC1421" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1422" class="blob-num js-line-number" data-line-number="1422"></td>
        <td id="LC1422" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1423" class="blob-num js-line-number" data-line-number="1423"></td>
        <td id="LC1423" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>result</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>0</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1424" class="blob-num js-line-number" data-line-number="1424"></td>
        <td id="LC1424" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1425" class="blob-num js-line-number" data-line-number="1425"></td>
        <td id="LC1425" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L1426" class="blob-num js-line-number" data-line-number="1426"></td>
        <td id="LC1426" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1427" class="blob-num js-line-number" data-line-number="1427"></td>
        <td id="LC1427" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1428" class="blob-num js-line-number" data-line-number="1428"></td>
        <td id="LC1428" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L1429" class="blob-num js-line-number" data-line-number="1429"></td>
        <td id="LC1429" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L1430" class="blob-num js-line-number" data-line-number="1430"></td>
        <td id="LC1430" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L1431" class="blob-num js-line-number" data-line-number="1431"></td>
        <td id="LC1431" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Iterations&quot;</span>: <span class=pl-s1>result</span>.<span class=pl-s1>niter</span>,</td>
      </tr>
      <tr>
        <td id="L1432" class="blob-num js-line-number" data-line-number="1432"></td>
        <td id="LC1432" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Optimization Run Time&quot;</span>: <span class=pl-s1>result</span>.<span class=pl-s1>execution_time</span>,</td>
      </tr>
      <tr>
        <td id="L1433" class="blob-num js-line-number" data-line-number="1433"></td>
        <td id="LC1433" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L1434" class="blob-num js-line-number" data-line-number="1434"></td>
        <td id="LC1434" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1435" class="blob-num js-line-number" data-line-number="1435"></td>
        <td id="LC1435" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>result</span>.<span class=pl-s1>x</span>,<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alpha</span>,<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;User&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L1436" class="blob-num js-line-number" data-line-number="1436"></td>
        <td id="LC1436" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1437" class="blob-num js-line-number" data-line-number="1437"></td>
        <td id="LC1437" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>edge_check</span>(<span class=pl-s1>p</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>):</td>
      </tr>
      <tr>
        <td id="L1438" class="blob-num js-line-number" data-line-number="1438"></td>
        <td id="LC1438" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function checks if the coordinates of a point lies at the edge of a grid. It returns a list of boolean values.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1439" class="blob-num js-line-number" data-line-number="1439"></td>
        <td id="LC1439" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>check</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1440" class="blob-num js-line-number" data-line-number="1440"></td>
        <td id="LC1440" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1441" class="blob-num js-line-number" data-line-number="1441"></td>
        <td id="LC1441" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>p</span>:</td>
      </tr>
      <tr>
        <td id="L1442" class="blob-num js-line-number" data-line-number="1442"></td>
        <td id="LC1442" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>check</span>.<span class=pl-en>append</span>((<span class=pl-s1>i</span><span class=pl-c1>-</span><span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>or</span> (<span class=pl-s1>i</span><span class=pl-c1>-</span><span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>)</td>
      </tr>
      <tr>
        <td id="L1443" class="blob-num js-line-number" data-line-number="1443"></td>
        <td id="LC1443" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>check</span></td>
      </tr>
      <tr>
        <td id="L1444" class="blob-num js-line-number" data-line-number="1444"></td>
        <td id="LC1444" class="blob-code blob-code-inner js-file-line">  </td>
      </tr>
      <tr>
        <td id="L1445" class="blob-num js-line-number" data-line-number="1445"></td>
        <td id="LC1445" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>outer_edge_check</span>(<span class=pl-s1>p</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>):</td>
      </tr>
      <tr>
        <td id="L1446" class="blob-num js-line-number" data-line-number="1446"></td>
        <td id="LC1446" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function checks if a specific coordinate is at the edge of the grid.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1447" class="blob-num js-line-number" data-line-number="1447"></td>
        <td id="LC1447" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> (<span class=pl-s1>p</span><span class=pl-c1>-</span><span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>or</span> (<span class=pl-s1>p</span><span class=pl-c1>-</span><span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1448" class="blob-num js-line-number" data-line-number="1448"></td>
        <td id="LC1448" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1449" class="blob-num js-line-number" data-line-number="1449"></td>
        <td id="LC1449" class="blob-code blob-code-inner js-file-line"> </td>
      </tr>
      <tr>
        <td id="L1450" class="blob-num js-line-number" data-line-number="1450"></td>
        <td id="LC1450" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>k</span>):</td>
      </tr>
      <tr>
        <td id="L1451" class="blob-num js-line-number" data-line-number="1451"></td>
        <td id="LC1451" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function maps an intersection point to its index on the grid i.e. in which box of </span></td>
      </tr>
      <tr>
        <td id="L1452" class="blob-num js-line-number" data-line-number="1452"></td>
        <td id="LC1452" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the grid the point lies in. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1453" class="blob-num js-line-number" data-line-number="1453"></td>
        <td id="LC1453" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>interval_round</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>round</span>(<span class=pl-s1>i</span>,<span class=pl-c1>8</span>) <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>interval</span>])</td>
      </tr>
      <tr>
        <td id="L1454" class="blob-num js-line-number" data-line-number="1454"></td>
        <td id="LC1454" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1455" class="blob-num js-line-number" data-line-number="1455"></td>
        <td id="LC1455" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1456" class="blob-num js-line-number" data-line-number="1456"></td>
        <td id="LC1456" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>point</span>:</td>
      </tr>
      <tr>
        <td id="L1457" class="blob-num js-line-number" data-line-number="1457"></td>
        <td id="LC1457" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x</span>.<span class=pl-en>append</span>(<span class=pl-en>max</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>interval_round</span><span class=pl-c1>&gt;=</span><span class=pl-s1>p</span>)[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>]<span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-c1>0</span>))</td>
      </tr>
      <tr>
        <td id="L1458" class="blob-num js-line-number" data-line-number="1458"></td>
        <td id="LC1458" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1459" class="blob-num js-line-number" data-line-number="1459"></td>
        <td id="LC1459" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>index</span> <span class=pl-c1>=</span> <span class=pl-s1>x</span>[<span class=pl-c1>0</span>] <span class=pl-c1>+</span> <span class=pl-s1>x</span>[<span class=pl-c1>1</span>]<span class=pl-c1>*</span><span class=pl-s1>k</span><span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>) <span class=pl-c1>+</span> <span class=pl-s1>x</span>[<span class=pl-c1>2</span>]<span class=pl-c1>*</span><span class=pl-s1>k</span><span class=pl-c1>**</span>(<span class=pl-c1>2</span><span class=pl-c1>/</span><span class=pl-c1>3</span>)</td>
      </tr>
      <tr>
        <td id="L1460" class="blob-num js-line-number" data-line-number="1460"></td>
        <td id="LC1460" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-s1>index</span>)</td>
      </tr>
      <tr>
        <td id="L1461" class="blob-num js-line-number" data-line-number="1461"></td>
        <td id="LC1461" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1462" class="blob-num js-line-number" data-line-number="1462"></td>
        <td id="LC1462" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>point_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>):</td>
      </tr>
      <tr>
        <td id="L1463" class="blob-num js-line-number" data-line-number="1463"></td>
        <td id="LC1463" class="blob-code blob-code-inner js-file-line">        <span class=pl-s>&quot;&quot;&quot; This function checks if the coordinates of a point lies at the edge of a grid. It returns a list of </span></td>
      </tr>
      <tr>
        <td id="L1464" class="blob-num js-line-number" data-line-number="1464"></td>
        <td id="LC1464" class="blob-code blob-code-inner js-file-line"><span class=pl-s>        boolean values. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1465" class="blob-num js-line-number" data-line-number="1465"></td>
        <td id="LC1465" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>check</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1466" class="blob-num js-line-number" data-line-number="1466"></td>
        <td id="LC1466" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1467" class="blob-num js-line-number" data-line-number="1467"></td>
        <td id="LC1467" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>point</span>:</td>
      </tr>
      <tr>
        <td id="L1468" class="blob-num js-line-number" data-line-number="1468"></td>
        <td id="LC1468" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>i</span> <span class=pl-c1>==</span> <span class=pl-s1>start</span> <span class=pl-c1>or</span> <span class=pl-s1>i</span> <span class=pl-c1>==</span> <span class=pl-s1>end</span>:</td>
      </tr>
      <tr>
        <td id="L1469" class="blob-num js-line-number" data-line-number="1469"></td>
        <td id="LC1469" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>check</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1470" class="blob-num js-line-number" data-line-number="1470"></td>
        <td id="LC1470" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>check</span></td>
      </tr>
      <tr>
        <td id="L1471" class="blob-num js-line-number" data-line-number="1471"></td>
        <td id="LC1471" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1472" class="blob-num js-line-number" data-line-number="1472"></td>
        <td id="LC1472" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>vertex_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>):</td>
      </tr>
      <tr>
        <td id="L1473" class="blob-num js-line-number" data-line-number="1473"></td>
        <td id="LC1473" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function checks if a point has coordinates that lies on the grid, but are not on outer-edges. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1474" class="blob-num js-line-number" data-line-number="1474"></td>
        <td id="LC1474" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span> <span class=pl-c1>=</span> <span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1475" class="blob-num js-line-number" data-line-number="1475"></td>
        <td id="LC1475" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1476" class="blob-num js-line-number" data-line-number="1476"></td>
        <td id="LC1476" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>point</span>:</td>
      </tr>
      <tr>
        <td id="L1477" class="blob-num js-line-number" data-line-number="1477"></td>
        <td id="LC1477" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1478" class="blob-num js-line-number" data-line-number="1478"></td>
        <td id="LC1478" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1479" class="blob-num js-line-number" data-line-number="1479"></td>
        <td id="LC1479" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>val</span></td>
      </tr>
      <tr>
        <td id="L1480" class="blob-num js-line-number" data-line-number="1480"></td>
        <td id="LC1480" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1481" class="blob-num js-line-number" data-line-number="1481"></td>
        <td id="LC1481" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>get_box_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>):</td>
      </tr>
      <tr>
        <td id="L1482" class="blob-num js-line-number" data-line-number="1482"></td>
        <td id="LC1482" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function takes a point and returns all the grid boxes (its index) that it lies in. An</span></td>
      </tr>
      <tr>
        <td id="L1483" class="blob-num js-line-number" data-line-number="1483"></td>
        <td id="LC1483" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    intersection point can lie in more than one box in the grid e.g. if a point lies on a vertex of the</span></td>
      </tr>
      <tr>
        <td id="L1484" class="blob-num js-line-number" data-line-number="1484"></td>
        <td id="LC1484" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    grid, it lies in eight grid boxes. </span></td>
      </tr>
      <tr>
        <td id="L1485" class="blob-num js-line-number" data-line-number="1485"></td>
        <td id="LC1485" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1486" class="blob-num js-line-number" data-line-number="1486"></td>
        <td id="LC1486" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>point</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>point</span>)</td>
      </tr>
      <tr>
        <td id="L1487" class="blob-num js-line-number" data-line-number="1487"></td>
        <td id="LC1487" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-en>point_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>) <span class=pl-c1>==</span><span class=pl-c1>3</span>: <span class=pl-c>#case for outer-vertex</span></td>
      </tr>
      <tr>
        <td id="L1488" class="blob-num js-line-number" data-line-number="1488"></td>
        <td id="LC1488" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>) </td>
      </tr>
      <tr>
        <td id="L1489" class="blob-num js-line-number" data-line-number="1489"></td>
        <td id="LC1489" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span>)</td>
      </tr>
      <tr>
        <td id="L1490" class="blob-num js-line-number" data-line-number="1490"></td>
        <td id="LC1490" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1491" class="blob-num js-line-number" data-line-number="1491"></td>
        <td id="LC1491" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> ((<span class=pl-en>point_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>) <span class=pl-c1>==</span> <span class=pl-c1>2</span>) <span class=pl-c1>and</span>  <span class=pl-en>vertex_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>) <span class=pl-c1>==</span> <span class=pl-c1>3</span>): </td>
      </tr>
      <tr>
        <td id="L1492" class="blob-num js-line-number" data-line-number="1492"></td>
        <td id="LC1492" class="blob-code blob-code-inner js-file-line">        <span class=pl-c>#case for corner-outer-edge vertex</span></td>
      </tr>
      <tr>
        <td id="L1493" class="blob-num js-line-number" data-line-number="1493"></td>
        <td id="LC1493" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>2</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>or</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>2</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L1494" class="blob-num js-line-number" data-line-number="1494"></td>
        <td id="LC1494" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1495" class="blob-num js-line-number" data-line-number="1495"></td>
        <td id="LC1495" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1496" class="blob-num js-line-number" data-line-number="1496"></td>
        <td id="LC1496" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1497" class="blob-num js-line-number" data-line-number="1497"></td>
        <td id="LC1497" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1498" class="blob-num js-line-number" data-line-number="1498"></td>
        <td id="LC1498" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>2</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>or</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>2</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L1499" class="blob-num js-line-number" data-line-number="1499"></td>
        <td id="LC1499" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1500" class="blob-num js-line-number" data-line-number="1500"></td>
        <td id="LC1500" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1501" class="blob-num js-line-number" data-line-number="1501"></td>
        <td id="LC1501" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>) </td>
      </tr>
      <tr>
        <td id="L1502" class="blob-num js-line-number" data-line-number="1502"></td>
        <td id="LC1502" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1503" class="blob-num js-line-number" data-line-number="1503"></td>
        <td id="LC1503" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>or</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span> <span class=pl-c1>and</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L1504" class="blob-num js-line-number" data-line-number="1504"></td>
        <td id="LC1504" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1505" class="blob-num js-line-number" data-line-number="1505"></td>
        <td id="LC1505" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1506" class="blob-num js-line-number" data-line-number="1506"></td>
        <td id="LC1506" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>) </td>
      </tr>
      <tr>
        <td id="L1507" class="blob-num js-line-number" data-line-number="1507"></td>
        <td id="LC1507" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1508" class="blob-num js-line-number" data-line-number="1508"></td>
        <td id="LC1508" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> ((<span class=pl-en>sum</span>((<span class=pl-en>abs</span>(<span class=pl-s1>point</span>)<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>))<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>==</span> <span class=pl-c1>1</span> <span class=pl-c1>or</span> <span class=pl-en>sum</span>((<span class=pl-en>abs</span>(<span class=pl-s1>point</span>)<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>))<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>==</span> <span class=pl-c1>1</span>) <span class=pl-c1>and</span> <span class=pl-en>vertex_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>) <span class=pl-c1>==</span> <span class=pl-c1>3</span>): </td>
      </tr>
      <tr>
        <td id="L1509" class="blob-num js-line-number" data-line-number="1509"></td>
        <td id="LC1509" class="blob-code blob-code-inner js-file-line">        <span class=pl-c>#case for side-outer-edge vertex</span></td>
      </tr>
      <tr>
        <td id="L1510" class="blob-num js-line-number" data-line-number="1510"></td>
        <td id="LC1510" class="blob-code blob-code-inner js-file-line">        <span class=pl-c>#cases for different axes</span></td>
      </tr>
      <tr>
        <td id="L1511" class="blob-num js-line-number" data-line-number="1511"></td>
        <td id="LC1511" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>or</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L1512" class="blob-num js-line-number" data-line-number="1512"></td>
        <td id="LC1512" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>4</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1513" class="blob-num js-line-number" data-line-number="1513"></td>
        <td id="LC1513" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1514" class="blob-num js-line-number" data-line-number="1514"></td>
        <td id="LC1514" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1515" class="blob-num js-line-number" data-line-number="1515"></td>
        <td id="LC1515" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1516" class="blob-num js-line-number" data-line-number="1516"></td>
        <td id="LC1516" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>) <span class=pl-c1>or</span> (<span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>end</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>):</td>
      </tr>
      <tr>
        <td id="L1517" class="blob-num js-line-number" data-line-number="1517"></td>
        <td id="LC1517" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>4</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1518" class="blob-num js-line-number" data-line-number="1518"></td>
        <td id="LC1518" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1519" class="blob-num js-line-number" data-line-number="1519"></td>
        <td id="LC1519" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1520" class="blob-num js-line-number" data-line-number="1520"></td>
        <td id="LC1520" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1521" class="blob-num js-line-number" data-line-number="1521"></td>
        <td id="LC1521" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-en>abs</span>(<span class=pl-s1>point</span>[<span class=pl-c1>2</span>])<span class=pl-c1>-</span><span class=pl-en>abs</span>(<span class=pl-s1>start</span>)<span class=pl-c1>==</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L1522" class="blob-num js-line-number" data-line-number="1522"></td>
        <td id="LC1522" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>4</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1523" class="blob-num js-line-number" data-line-number="1523"></td>
        <td id="LC1523" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1524" class="blob-num js-line-number" data-line-number="1524"></td>
        <td id="LC1524" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1525" class="blob-num js-line-number" data-line-number="1525"></td>
        <td id="LC1525" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1526" class="blob-num js-line-number" data-line-number="1526"></td>
        <td id="LC1526" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-en>vertex_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>) <span class=pl-c1>==</span> <span class=pl-c1>3</span>: <span class=pl-c>#case for inner-vertex</span></td>
      </tr>
      <tr>
        <td id="L1527" class="blob-num js-line-number" data-line-number="1527"></td>
        <td id="LC1527" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])] <span class=pl-c1>*</span> <span class=pl-c1>8</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1528" class="blob-num js-line-number" data-line-number="1528"></td>
        <td id="LC1528" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>,<span class=pl-c1>+</span><span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]<span class=pl-c1>+</span><span class=pl-s1>ks</span>[<span class=pl-c1>1</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]<span class=pl-c1>+</span><span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1529" class="blob-num js-line-number" data-line-number="1529"></td>
        <td id="LC1529" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1530" class="blob-num js-line-number" data-line-number="1530"></td>
        <td id="LC1530" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1531" class="blob-num js-line-number" data-line-number="1531"></td>
        <td id="LC1531" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-en>sum</span>(<span class=pl-en>edge_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>))<span class=pl-c1>==</span><span class=pl-c1>2</span>: <span class=pl-c>#case for outermost-edge</span></td>
      </tr>
      <tr>
        <td id="L1532" class="blob-num js-line-number" data-line-number="1532"></td>
        <td id="LC1532" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])],<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>) </td>
      </tr>
      <tr>
        <td id="L1533" class="blob-num js-line-number" data-line-number="1533"></td>
        <td id="LC1533" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span>)</td>
      </tr>
      <tr>
        <td id="L1534" class="blob-num js-line-number" data-line-number="1534"></td>
        <td id="LC1534" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1535" class="blob-num js-line-number" data-line-number="1535"></td>
        <td id="LC1535" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-en>sum</span>(<span class=pl-en>edge_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>start</span>,<span class=pl-s1>end</span>))<span class=pl-c1>==</span><span class=pl-c1>1</span>: <span class=pl-c>#case for outer-edge</span></td>
      </tr>
      <tr>
        <td id="L1536" class="blob-num js-line-number" data-line-number="1536"></td>
        <td id="LC1536" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1537" class="blob-num js-line-number" data-line-number="1537"></td>
        <td id="LC1537" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-en>outer_edge_check</span>(<span class=pl-s1>point</span>[<span class=pl-c1>1</span>],<span class=pl-s1>start</span>,<span class=pl-s1>end</span>): <span class=pl-c>#change np.logic</span></td>
      </tr>
      <tr>
        <td id="L1538" class="blob-num js-line-number" data-line-number="1538"></td>
        <td id="LC1538" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1539" class="blob-num js-line-number" data-line-number="1539"></td>
        <td id="LC1539" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>point</span>[<span class=pl-c1>0</span>] <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1540" class="blob-num js-line-number" data-line-number="1540"></td>
        <td id="LC1540" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1541" class="blob-num js-line-number" data-line-number="1541"></td>
        <td id="LC1541" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1542" class="blob-num js-line-number" data-line-number="1542"></td>
        <td id="LC1542" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1543" class="blob-num js-line-number" data-line-number="1543"></td>
        <td id="LC1543" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1544" class="blob-num js-line-number" data-line-number="1544"></td>
        <td id="LC1544" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1545" class="blob-num js-line-number" data-line-number="1545"></td>
        <td id="LC1545" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1546" class="blob-num js-line-number" data-line-number="1546"></td>
        <td id="LC1546" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]])</td>
      </tr>
      <tr>
        <td id="L1547" class="blob-num js-line-number" data-line-number="1547"></td>
        <td id="LC1547" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>) </td>
      </tr>
      <tr>
        <td id="L1548" class="blob-num js-line-number" data-line-number="1548"></td>
        <td id="LC1548" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1549" class="blob-num js-line-number" data-line-number="1549"></td>
        <td id="LC1549" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-en>outer_edge_check</span>(<span class=pl-s1>point</span>[<span class=pl-c1>0</span>],<span class=pl-s1>start</span>,<span class=pl-s1>end</span>):</td>
      </tr>
      <tr>
        <td id="L1550" class="blob-num js-line-number" data-line-number="1550"></td>
        <td id="LC1550" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1551" class="blob-num js-line-number" data-line-number="1551"></td>
        <td id="LC1551" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>point</span>[<span class=pl-c1>1</span>] <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1552" class="blob-num js-line-number" data-line-number="1552"></td>
        <td id="LC1552" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1553" class="blob-num js-line-number" data-line-number="1553"></td>
        <td id="LC1553" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]])</td>
      </tr>
      <tr>
        <td id="L1554" class="blob-num js-line-number" data-line-number="1554"></td>
        <td id="LC1554" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1555" class="blob-num js-line-number" data-line-number="1555"></td>
        <td id="LC1555" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1556" class="blob-num js-line-number" data-line-number="1556"></td>
        <td id="LC1556" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1557" class="blob-num js-line-number" data-line-number="1557"></td>
        <td id="LC1557" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1558" class="blob-num js-line-number" data-line-number="1558"></td>
        <td id="LC1558" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]])</td>
      </tr>
      <tr>
        <td id="L1559" class="blob-num js-line-number" data-line-number="1559"></td>
        <td id="LC1559" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)  </td>
      </tr>
      <tr>
        <td id="L1560" class="blob-num js-line-number" data-line-number="1560"></td>
        <td id="LC1560" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1561" class="blob-num js-line-number" data-line-number="1561"></td>
        <td id="LC1561" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-en>outer_edge_check</span>(<span class=pl-s1>point</span>[<span class=pl-c1>2</span>],<span class=pl-s1>start</span>,<span class=pl-s1>end</span>):</td>
      </tr>
      <tr>
        <td id="L1562" class="blob-num js-line-number" data-line-number="1562"></td>
        <td id="LC1562" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1563" class="blob-num js-line-number" data-line-number="1563"></td>
        <td id="LC1563" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-s1>point</span>[<span class=pl-c1>0</span>] <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1564" class="blob-num js-line-number" data-line-number="1564"></td>
        <td id="LC1564" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1565" class="blob-num js-line-number" data-line-number="1565"></td>
        <td id="LC1565" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1566" class="blob-num js-line-number" data-line-number="1566"></td>
        <td id="LC1566" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1567" class="blob-num js-line-number" data-line-number="1567"></td>
        <td id="LC1567" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1568" class="blob-num js-line-number" data-line-number="1568"></td>
        <td id="LC1568" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1569" class="blob-num js-line-number" data-line-number="1569"></td>
        <td id="LC1569" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>2</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1570" class="blob-num js-line-number" data-line-number="1570"></td>
        <td id="LC1570" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]])</td>
      </tr>
      <tr>
        <td id="L1571" class="blob-num js-line-number" data-line-number="1571"></td>
        <td id="LC1571" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)  </td>
      </tr>
      <tr>
        <td id="L1572" class="blob-num js-line-number" data-line-number="1572"></td>
        <td id="LC1572" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1573" class="blob-num js-line-number" data-line-number="1573"></td>
        <td id="LC1573" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>elif</span> <span class=pl-en>vertex_check</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>)<span class=pl-c1>==</span><span class=pl-c1>2</span> : <span class=pl-c>#case for inner-edge</span></td>
      </tr>
      <tr>
        <td id="L1574" class="blob-num js-line-number" data-line-number="1574"></td>
        <td id="LC1574" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1575" class="blob-num js-line-number" data-line-number="1575"></td>
        <td id="LC1575" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>point</span>[<span class=pl-c1>0</span>] <span class=pl-c1>not</span> <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1576" class="blob-num js-line-number" data-line-number="1576"></td>
        <td id="LC1576" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>4</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1577" class="blob-num js-line-number" data-line-number="1577"></td>
        <td id="LC1577" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]<span class=pl-c1>+</span><span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]])</td>
      </tr>
      <tr>
        <td id="L1578" class="blob-num js-line-number" data-line-number="1578"></td>
        <td id="LC1578" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1579" class="blob-num js-line-number" data-line-number="1579"></td>
        <td id="LC1579" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1580" class="blob-num js-line-number" data-line-number="1580"></td>
        <td id="LC1580" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>point</span>[<span class=pl-c1>1</span>] <span class=pl-c1>not</span> <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1581" class="blob-num js-line-number" data-line-number="1581"></td>
        <td id="LC1581" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>4</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1582" class="blob-num js-line-number" data-line-number="1582"></td>
        <td id="LC1582" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>1</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1583" class="blob-num js-line-number" data-line-number="1583"></td>
        <td id="LC1583" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1584" class="blob-num js-line-number" data-line-number="1584"></td>
        <td id="LC1584" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1585" class="blob-num js-line-number" data-line-number="1585"></td>
        <td id="LC1585" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>point</span>[<span class=pl-c1>2</span>] <span class=pl-c1>not</span> <span class=pl-c1>in</span> <span class=pl-s1>interval</span>:</td>
      </tr>
      <tr>
        <td id="L1586" class="blob-num js-line-number" data-line-number="1586"></td>
        <td id="LC1586" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-en>get_index</span>(<span class=pl-s1>point</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]<span class=pl-c1>*</span><span class=pl-c1>4</span>,<span class=pl-s1>dtype</span><span class=pl-c1>=</span><span class=pl-s1>int</span>)</td>
      </tr>
      <tr>
        <td id="L1587" class="blob-num js-line-number" data-line-number="1587"></td>
        <td id="LC1587" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>adjustments</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-c1>0</span>,<span class=pl-c1>1</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>],<span class=pl-s1>ks</span>[<span class=pl-c1>0</span>]<span class=pl-c1>+</span><span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1588" class="blob-num js-line-number" data-line-number="1588"></td>
        <td id="LC1588" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>return</span> <span class=pl-en>list</span>(<span class=pl-s1>indices</span><span class=pl-c1>+</span><span class=pl-s1>adjustments</span>)</td>
      </tr>
      <tr>
        <td id="L1589" class="blob-num js-line-number" data-line-number="1589"></td>
        <td id="LC1589" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1590" class="blob-num js-line-number" data-line-number="1590"></td>
        <td id="LC1590" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1591" class="blob-num js-line-number" data-line-number="1591"></td>
        <td id="LC1591" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>angle</span>(<span class=pl-s1>v1</span>,<span class=pl-s1>v2</span>):</td>
      </tr>
      <tr>
        <td id="L1592" class="blob-num js-line-number" data-line-number="1592"></td>
        <td id="LC1592" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the angle between two vectors. This is used to sort points in order to</span></td>
      </tr>
      <tr>
        <td id="L1593" class="blob-num js-line-number" data-line-number="1593"></td>
        <td id="LC1593" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    form the polygonal intersection of the plane with the grid. </span></td>
      </tr>
      <tr>
        <td id="L1594" class="blob-num js-line-number" data-line-number="1594"></td>
        <td id="LC1594" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1595" class="blob-num js-line-number" data-line-number="1595"></td>
        <td id="LC1595" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>prod</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-s1>v1</span>[<span class=pl-c1>0</span>:<span class=pl-c1>2</span>],<span class=pl-s1>v2</span>[<span class=pl-c1>0</span>:<span class=pl-c1>2</span>])</td>
      </tr>
      <tr>
        <td id="L1596" class="blob-num js-line-number" data-line-number="1596"></td>
        <td id="LC1596" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>det</span> <span class=pl-c1>=</span> <span class=pl-s1>v1</span>[<span class=pl-c1>0</span>]<span class=pl-c1>*</span><span class=pl-s1>v2</span>[<span class=pl-c1>1</span>] <span class=pl-c1>-</span> <span class=pl-s1>v1</span>[<span class=pl-c1>1</span>]<span class=pl-c1>*</span><span class=pl-s1>v2</span>[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1597" class="blob-num js-line-number" data-line-number="1597"></td>
        <td id="LC1597" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>temp_cos</span> <span class=pl-c1>=</span> <span class=pl-s1>prod</span><span class=pl-c1>/</span><span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>v1</span>[<span class=pl-c1>0</span>:<span class=pl-c1>2</span>])<span class=pl-c1>/</span><span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>v2</span>[<span class=pl-c1>0</span>:<span class=pl-c1>2</span>])</td>
      </tr>
      <tr>
        <td id="L1598" class="blob-num js-line-number" data-line-number="1598"></td>
        <td id="LC1598" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1599" class="blob-num js-line-number" data-line-number="1599"></td>
        <td id="LC1599" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>temp_cos</span> <span class=pl-c1>&gt;=</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L1600" class="blob-num js-line-number" data-line-number="1600"></td>
        <td id="LC1600" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>cos_t</span> <span class=pl-c1>=</span> <span class=pl-en>min</span>(<span class=pl-c1>1</span>,<span class=pl-s1>temp_cos</span>)</td>
      </tr>
      <tr>
        <td id="L1601" class="blob-num js-line-number" data-line-number="1601"></td>
        <td id="LC1601" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1602" class="blob-num js-line-number" data-line-number="1602"></td>
        <td id="LC1602" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1603" class="blob-num js-line-number" data-line-number="1603"></td>
        <td id="LC1603" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>cos_t</span> <span class=pl-c1>=</span> <span class=pl-en>max</span>(<span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-s1>temp_cos</span>)</td>
      </tr>
      <tr>
        <td id="L1604" class="blob-num js-line-number" data-line-number="1604"></td>
        <td id="LC1604" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1605" class="blob-num js-line-number" data-line-number="1605"></td>
        <td id="LC1605" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>theta</span> <span class=pl-c1>=</span>  <span class=pl-s1>np</span>.<span class=pl-en>arccos</span>(<span class=pl-s1>cos_t</span>)</td>
      </tr>
      <tr>
        <td id="L1606" class="blob-num js-line-number" data-line-number="1606"></td>
        <td id="LC1606" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1607" class="blob-num js-line-number" data-line-number="1607"></td>
        <td id="LC1607" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>det</span> <span class=pl-c1>&lt;=</span><span class=pl-c1>0</span>:</td>
      </tr>
      <tr>
        <td id="L1608" class="blob-num js-line-number" data-line-number="1608"></td>
        <td id="LC1608" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>theta</span></td>
      </tr>
      <tr>
        <td id="L1609" class="blob-num js-line-number" data-line-number="1609"></td>
        <td id="LC1609" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1610" class="blob-num js-line-number" data-line-number="1610"></td>
        <td id="LC1610" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1611" class="blob-num js-line-number" data-line-number="1611"></td>
        <td id="LC1611" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>theta</span> <span class=pl-c1>+</span> <span class=pl-s1>np</span>.<span class=pl-s1>pi</span></td>
      </tr>
      <tr>
        <td id="L1612" class="blob-num js-line-number" data-line-number="1612"></td>
        <td id="LC1612" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1613" class="blob-num js-line-number" data-line-number="1613"></td>
        <td id="LC1613" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>point_sorter</span>(<span class=pl-s1>points</span>):</td>
      </tr>
      <tr>
        <td id="L1614" class="blob-num js-line-number" data-line-number="1614"></td>
        <td id="LC1614" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Unsorted points are arranged into the polygon the form based on the angles between the </span></td>
      </tr>
      <tr>
        <td id="L1615" class="blob-num js-line-number" data-line-number="1615"></td>
        <td id="LC1615" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    vectors. Vectors are drawn from the center of the points.</span></td>
      </tr>
      <tr>
        <td id="L1616" class="blob-num js-line-number" data-line-number="1616"></td>
        <td id="LC1616" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1617" class="blob-num js-line-number" data-line-number="1617"></td>
        <td id="LC1617" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>cent</span> <span class=pl-c1>=</span> <span class=pl-en>sum</span>(<span class=pl-s1>points</span>)<span class=pl-c1>/</span><span class=pl-en>len</span>(<span class=pl-s1>points</span>)</td>
      </tr>
      <tr>
        <td id="L1618" class="blob-num js-line-number" data-line-number="1618"></td>
        <td id="LC1618" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>vects</span> <span class=pl-c1>=</span> <span class=pl-s1>cent</span> <span class=pl-c1>-</span> <span class=pl-s1>points</span></td>
      </tr>
      <tr>
        <td id="L1619" class="blob-num js-line-number" data-line-number="1619"></td>
        <td id="LC1619" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>projs</span> <span class=pl-c1>=</span> [<span class=pl-s1>i</span>[<span class=pl-c1>0</span>:<span class=pl-c1>2</span>] <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>vects</span>]</td>
      </tr>
      <tr>
        <td id="L1620" class="blob-num js-line-number" data-line-number="1620"></td>
        <td id="LC1620" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sorted_points</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1621" class="blob-num js-line-number" data-line-number="1621"></td>
        <td id="LC1621" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>angles</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1622" class="blob-num js-line-number" data-line-number="1622"></td>
        <td id="LC1622" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1623" class="blob-num js-line-number" data-line-number="1623"></td>
        <td id="LC1623" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-en>len</span>(<span class=pl-s1>projs</span>)):</td>
      </tr>
      <tr>
        <td id="L1624" class="blob-num js-line-number" data-line-number="1624"></td>
        <td id="LC1624" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>angles</span>.<span class=pl-en>append</span>(<span class=pl-en>angle</span>(<span class=pl-s1>projs</span>[<span class=pl-c1>0</span>], <span class=pl-s1>projs</span>[<span class=pl-s1>i</span>]))</td>
      </tr>
      <tr>
        <td id="L1625" class="blob-num js-line-number" data-line-number="1625"></td>
        <td id="LC1625" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1626" class="blob-num js-line-number" data-line-number="1626"></td>
        <td id="LC1626" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>idx</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>argsort</span>(<span class=pl-s1>angles</span>)</td>
      </tr>
      <tr>
        <td id="L1627" class="blob-num js-line-number" data-line-number="1627"></td>
        <td id="LC1627" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>points</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>points</span>)</td>
      </tr>
      <tr>
        <td id="L1628" class="blob-num js-line-number" data-line-number="1628"></td>
        <td id="LC1628" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sorted_points</span> <span class=pl-c1>=</span> <span class=pl-s1>points</span>[<span class=pl-s1>idx</span>]</td>
      </tr>
      <tr>
        <td id="L1629" class="blob-num js-line-number" data-line-number="1629"></td>
        <td id="LC1629" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sorted_points</span> <span class=pl-c1>=</span> <span class=pl-s1>sorted_points</span>.<span class=pl-en>tolist</span>()</td>
      </tr>
      <tr>
        <td id="L1630" class="blob-num js-line-number" data-line-number="1630"></td>
        <td id="LC1630" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>sorted_points</span></td>
      </tr>
      <tr>
        <td id="L1631" class="blob-num js-line-number" data-line-number="1631"></td>
        <td id="LC1631" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1632" class="blob-num js-line-number" data-line-number="1632"></td>
        <td id="LC1632" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>area_poly</span>(<span class=pl-s1>points</span>):</td>
      </tr>
      <tr>
        <td id="L1633" class="blob-num js-line-number" data-line-number="1633"></td>
        <td id="LC1633" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the area of the polygon formed by the intersection points after</span></td>
      </tr>
      <tr>
        <td id="L1634" class="blob-num js-line-number" data-line-number="1634"></td>
        <td id="LC1634" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    they are sorted.</span></td>
      </tr>
      <tr>
        <td id="L1635" class="blob-num js-line-number" data-line-number="1635"></td>
        <td id="LC1635" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1636" class="blob-num js-line-number" data-line-number="1636"></td>
        <td id="LC1636" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>area</span> <span class=pl-c1>=</span> <span class=pl-c1>0.5</span> <span class=pl-c1>*</span> <span class=pl-en>abs</span>(<span class=pl-s1>points</span>[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>] <span class=pl-c1>*</span> <span class=pl-s1>points</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>][<span class=pl-c1>1</span>] <span class=pl-c1>-</span> <span class=pl-s1>points</span>[<span class=pl-c1>0</span>][<span class=pl-c1>1</span>] <span class=pl-c1>*</span> <span class=pl-s1>points</span>[<span class=pl-c1>-</span><span class=pl-c1>1</span>][<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1637" class="blob-num js-line-number" data-line-number="1637"></td>
        <td id="LC1637" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1638" class="blob-num js-line-number" data-line-number="1638"></td>
        <td id="LC1638" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-en>len</span>(<span class=pl-s1>points</span>) <span class=pl-c1>-</span> <span class=pl-c1>1</span>):</td>
      </tr>
      <tr>
        <td id="L1639" class="blob-num js-line-number" data-line-number="1639"></td>
        <td id="LC1639" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>area</span> <span class=pl-c1>+=</span> <span class=pl-c1>0.5</span> <span class=pl-c1>*</span> <span class=pl-en>abs</span>(<span class=pl-s1>points</span>[<span class=pl-s1>i</span>][<span class=pl-c1>0</span>] <span class=pl-c1>*</span> <span class=pl-s1>points</span>[<span class=pl-s1>i</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>][<span class=pl-c1>1</span>] <span class=pl-c1>-</span> <span class=pl-s1>points</span>[<span class=pl-s1>i</span>][<span class=pl-c1>1</span>] <span class=pl-c1>*</span> <span class=pl-s1>points</span>[<span class=pl-s1>i</span> <span class=pl-c1>+</span> <span class=pl-c1>1</span>][<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1640" class="blob-num js-line-number" data-line-number="1640"></td>
        <td id="LC1640" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>area</span></td>
      </tr>
      <tr>
        <td id="L1641" class="blob-num js-line-number" data-line-number="1641"></td>
        <td id="LC1641" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1642" class="blob-num js-line-number" data-line-number="1642"></td>
        <td id="LC1642" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>ransample</span>(<span class=pl-s1>n</span>,<span class=pl-s1>pi</span>,<span class=pl-s1>mu</span>,<span class=pl-s1>sigma</span>):</td>
      </tr>
      <tr>
        <td id="L1643" class="blob-num js-line-number" data-line-number="1643"></td>
        <td id="LC1643" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function draws variables from a multivariate normal distribution. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1644" class="blob-num js-line-number" data-line-number="1644"></td>
        <td id="LC1644" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>x</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-s1>n</span>))</td>
      </tr>
      <tr>
        <td id="L1645" class="blob-num js-line-number" data-line-number="1645"></td>
        <td id="LC1645" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>y</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-s1>n</span>))</td>
      </tr>
      <tr>
        <td id="L1646" class="blob-num js-line-number" data-line-number="1646"></td>
        <td id="LC1646" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>z</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-s1>n</span>))</td>
      </tr>
      <tr>
        <td id="L1647" class="blob-num js-line-number" data-line-number="1647"></td>
        <td id="LC1647" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>k</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>choice</span>(<span class=pl-en>len</span>(<span class=pl-s1>pi</span>),<span class=pl-s1>n</span>,<span class=pl-s1>p</span><span class=pl-c1>=</span><span class=pl-s1>pi</span>,<span class=pl-s1>replace</span><span class=pl-c1>=</span><span class=pl-c1>True</span>)</td>
      </tr>
      <tr>
        <td id="L1648" class="blob-num js-line-number" data-line-number="1648"></td>
        <td id="LC1648" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1649" class="blob-num js-line-number" data-line-number="1649"></td>
        <td id="LC1649" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>k</span>)):</td>
      </tr>
      <tr>
        <td id="L1650" class="blob-num js-line-number" data-line-number="1650"></td>
        <td id="LC1650" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>x</span>[<span class=pl-s1>i</span>],<span class=pl-s1>y</span>[<span class=pl-s1>i</span>],<span class=pl-s1>z</span>[<span class=pl-s1>i</span>]<span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>multivariate_normal</span>(<span class=pl-s1>mu</span>[<span class=pl-s1>k</span>[<span class=pl-s1>i</span>]],<span class=pl-s1>sigma</span>[<span class=pl-s1>k</span>[<span class=pl-s1>i</span>]],<span class=pl-c1>1</span>).<span class=pl-v>T</span></td>
      </tr>
      <tr>
        <td id="L1651" class="blob-num js-line-number" data-line-number="1651"></td>
        <td id="LC1651" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>x</span>,<span class=pl-s1>y</span>,<span class=pl-s1>z</span></td>
      </tr>
      <tr>
        <td id="L1652" class="blob-num js-line-number" data-line-number="1652"></td>
        <td id="LC1652" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1653" class="blob-num js-line-number" data-line-number="1653"></td>
        <td id="LC1653" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1654" class="blob-num js-line-number" data-line-number="1654"></td>
        <td id="LC1654" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>transmatrix_3d</span>(<span class=pl-s1>sample</span>,<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L1655" class="blob-num js-line-number" data-line-number="1655"></td>
        <td id="LC1655" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the sub-function of transmatrix() that is used to generate the transformation matrix</span></td>
      </tr>
      <tr>
        <td id="L1656" class="blob-num js-line-number" data-line-number="1656"></td>
        <td id="LC1656" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    for the 3-dimensional application of the method. Creates the class object tmatrix which is used as an</span></td>
      </tr>
      <tr>
        <td id="L1657" class="blob-num js-line-number" data-line-number="1657"></td>
        <td id="LC1657" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    argument to the rmle() function.</span></td>
      </tr>
      <tr>
        <td id="L1658" class="blob-num js-line-number" data-line-number="1658"></td>
        <td id="LC1658" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1659" class="blob-num js-line-number" data-line-number="1659"></td>
        <td id="LC1659" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>xy_sample</span> <span class=pl-c1>=</span> <span class=pl-s1>sample</span>.<span class=pl-s1>scaled_sample</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L1660" class="blob-num js-line-number" data-line-number="1660"></td>
        <td id="LC1660" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>interval</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>.<span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L1661" class="blob-num js-line-number" data-line-number="1661"></td>
        <td id="LC1661" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>zeros</span>((<span class=pl-en>len</span>(<span class=pl-s1>xy_sample</span>),<span class=pl-s1>grid</span>.<span class=pl-en>numgridpoints</span>()))</td>
      </tr>
      <tr>
        <td id="L1662" class="blob-num js-line-number" data-line-number="1662"></td>
        <td id="LC1662" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b0s</span><span class=pl-c1>=</span><span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L1663" class="blob-num js-line-number" data-line-number="1663"></td>
        <td id="LC1663" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b1s</span><span class=pl-c1>=</span><span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L1664" class="blob-num js-line-number" data-line-number="1664"></td>
        <td id="LC1664" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>b2s</span><span class=pl-c1>=</span><span class=pl-s1>interval</span></td>
      </tr>
      <tr>
        <td id="L1665" class="blob-num js-line-number" data-line-number="1665"></td>
        <td id="LC1665" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>start</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>start</span></td>
      </tr>
      <tr>
        <td id="L1666" class="blob-num js-line-number" data-line-number="1666"></td>
        <td id="LC1666" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>end</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>end</span></td>
      </tr>
      <tr>
        <td id="L1667" class="blob-num js-line-number" data-line-number="1667"></td>
        <td id="LC1667" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>ks</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-en>ks</span>()</td>
      </tr>
      <tr>
        <td id="L1668" class="blob-num js-line-number" data-line-number="1668"></td>
        <td id="LC1668" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>step</span> <span class=pl-c1>=</span> <span class=pl-s1>grid</span>.<span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L1669" class="blob-num js-line-number" data-line-number="1669"></td>
        <td id="LC1669" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1670" class="blob-num js-line-number" data-line-number="1670"></td>
        <td id="LC1670" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>n</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>xy_sample</span>)):</td>
      </tr>
      <tr>
        <td id="L1671" class="blob-num js-line-number" data-line-number="1671"></td>
        <td id="LC1671" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_based_intersections</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1672" class="blob-num js-line-number" data-line-number="1672"></td>
        <td id="LC1672" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b1_based_intersections</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1673" class="blob-num js-line-number" data-line-number="1673"></td>
        <td id="LC1673" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b2_based_intersections</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1674" class="blob-num js-line-number" data-line-number="1674"></td>
        <td id="LC1674" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1675" class="blob-num js-line-number" data-line-number="1675"></td>
        <td id="LC1675" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>b1s</span>:</td>
      </tr>
      <tr>
        <td id="L1676" class="blob-num js-line-number" data-line-number="1676"></td>
        <td id="LC1676" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1677" class="blob-num js-line-number" data-line-number="1677"></td>
        <td id="LC1677" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>b2s</span>:</td>
      </tr>
      <tr>
        <td id="L1678" class="blob-num js-line-number" data-line-number="1678"></td>
        <td id="LC1678" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>b0_int</span> <span class=pl-c1>=</span> (<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>3</span>] <span class=pl-c1>-</span> <span class=pl-s1>i</span><span class=pl-c1>*</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>1</span>] <span class=pl-c1>-</span> <span class=pl-s1>j</span><span class=pl-c1>*</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>2</span>])<span class=pl-c1>/</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1679" class="blob-num js-line-number" data-line-number="1679"></td>
        <td id="LC1679" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>b0_int</span> <span class=pl-c1>&gt;=</span> <span class=pl-s1>start</span> <span class=pl-c1>and</span> <span class=pl-s1>b0_int</span> <span class=pl-c1>&lt;=</span> <span class=pl-s1>end</span>:</td>
      </tr>
      <tr>
        <td id="L1680" class="blob-num js-line-number" data-line-number="1680"></td>
        <td id="LC1680" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>b0_based_intersections</span>.<span class=pl-en>append</span>(<span class=pl-en>tuple</span>([<span class=pl-s1>b0_int</span>,<span class=pl-s1>i</span>,<span class=pl-s1>j</span>]))</td>
      </tr>
      <tr>
        <td id="L1681" class="blob-num js-line-number" data-line-number="1681"></td>
        <td id="LC1681" class="blob-code blob-code-inner js-file-line">                    </td>
      </tr>
      <tr>
        <td id="L1682" class="blob-num js-line-number" data-line-number="1682"></td>
        <td id="LC1682" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>b0s</span>:</td>
      </tr>
      <tr>
        <td id="L1683" class="blob-num js-line-number" data-line-number="1683"></td>
        <td id="LC1683" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1684" class="blob-num js-line-number" data-line-number="1684"></td>
        <td id="LC1684" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>b2s</span>:</td>
      </tr>
      <tr>
        <td id="L1685" class="blob-num js-line-number" data-line-number="1685"></td>
        <td id="LC1685" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>b1_int</span> <span class=pl-c1>=</span> (<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>3</span>] <span class=pl-c1>-</span> <span class=pl-s1>i</span><span class=pl-c1>*</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>0</span>] <span class=pl-c1>-</span> <span class=pl-s1>j</span><span class=pl-c1>*</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>2</span>])<span class=pl-c1>/</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L1686" class="blob-num js-line-number" data-line-number="1686"></td>
        <td id="LC1686" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>b1_int</span> <span class=pl-c1>&gt;=</span> <span class=pl-s1>start</span> <span class=pl-c1>and</span> <span class=pl-s1>b1_int</span> <span class=pl-c1>&lt;=</span> <span class=pl-s1>end</span>:</td>
      </tr>
      <tr>
        <td id="L1687" class="blob-num js-line-number" data-line-number="1687"></td>
        <td id="LC1687" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>b1_based_intersections</span>.<span class=pl-en>append</span>(<span class=pl-en>tuple</span>([<span class=pl-s1>i</span>,<span class=pl-s1>b1_int</span>,<span class=pl-s1>j</span>]))</td>
      </tr>
      <tr>
        <td id="L1688" class="blob-num js-line-number" data-line-number="1688"></td>
        <td id="LC1688" class="blob-code blob-code-inner js-file-line">                    </td>
      </tr>
      <tr>
        <td id="L1689" class="blob-num js-line-number" data-line-number="1689"></td>
        <td id="LC1689" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>b0s</span>:</td>
      </tr>
      <tr>
        <td id="L1690" class="blob-num js-line-number" data-line-number="1690"></td>
        <td id="LC1690" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1691" class="blob-num js-line-number" data-line-number="1691"></td>
        <td id="LC1691" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>j</span> <span class=pl-c1>in</span> <span class=pl-s1>b1s</span>:</td>
      </tr>
      <tr>
        <td id="L1692" class="blob-num js-line-number" data-line-number="1692"></td>
        <td id="LC1692" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>b2_int</span> <span class=pl-c1>=</span> (<span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>3</span>] <span class=pl-c1>-</span> <span class=pl-s1>i</span><span class=pl-c1>*</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>0</span>] <span class=pl-c1>-</span> <span class=pl-s1>j</span><span class=pl-c1>*</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>1</span>])<span class=pl-c1>/</span><span class=pl-s1>xy_sample</span>[<span class=pl-s1>n</span>,<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L1693" class="blob-num js-line-number" data-line-number="1693"></td>
        <td id="LC1693" class="blob-code blob-code-inner js-file-line">                <span class=pl-k>if</span> <span class=pl-s1>b2_int</span> <span class=pl-c1>&gt;=</span> <span class=pl-s1>start</span> <span class=pl-c1>and</span> <span class=pl-s1>b2_int</span> <span class=pl-c1>&lt;=</span> <span class=pl-s1>end</span>:</td>
      </tr>
      <tr>
        <td id="L1694" class="blob-num js-line-number" data-line-number="1694"></td>
        <td id="LC1694" class="blob-code blob-code-inner js-file-line">                    <span class=pl-s1>b2_based_intersections</span>.<span class=pl-en>append</span>(<span class=pl-en>tuple</span>([<span class=pl-s1>i</span>,<span class=pl-s1>j</span>,<span class=pl-s1>b2_int</span>]))</td>
      </tr>
      <tr>
        <td id="L1695" class="blob-num js-line-number" data-line-number="1695"></td>
        <td id="LC1695" class="blob-code blob-code-inner js-file-line">                    </td>
      </tr>
      <tr>
        <td id="L1696" class="blob-num js-line-number" data-line-number="1696"></td>
        <td id="LC1696" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_based_intersections</span>.<span class=pl-en>extend</span>(<span class=pl-s1>b1_based_intersections</span>)</td>
      </tr>
      <tr>
        <td id="L1697" class="blob-num js-line-number" data-line-number="1697"></td>
        <td id="LC1697" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>b0_based_intersections</span>.<span class=pl-en>extend</span>(<span class=pl-s1>b2_based_intersections</span>)</td>
      </tr>
      <tr>
        <td id="L1698" class="blob-num js-line-number" data-line-number="1698"></td>
        <td id="LC1698" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>intersection_points</span> <span class=pl-c1>=</span> <span class=pl-s1>b0_based_intersections</span>  </td>
      </tr>
      <tr>
        <td id="L1699" class="blob-num js-line-number" data-line-number="1699"></td>
        <td id="LC1699" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>intersect_points</span> <span class=pl-c1>=</span> <span class=pl-en>list</span>(<span class=pl-en>set</span>(<span class=pl-s1>intersection_points</span>))</td>
      </tr>
      <tr>
        <td id="L1700" class="blob-num js-line-number" data-line-number="1700"></td>
        <td id="LC1700" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>test_list</span> <span class=pl-c1>=</span> [[] <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]</td>
      </tr>
      <tr>
        <td id="L1701" class="blob-num js-line-number" data-line-number="1701"></td>
        <td id="LC1701" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1702" class="blob-num js-line-number" data-line-number="1702"></td>
        <td id="LC1702" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>intersect_points</span>:</td>
      </tr>
      <tr>
        <td id="L1703" class="blob-num js-line-number" data-line-number="1703"></td>
        <td id="LC1703" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>indices</span><span class=pl-c1>=</span><span class=pl-en>get_box_index</span>(<span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>p</span>),<span class=pl-s1>start</span>,<span class=pl-s1>end</span>,<span class=pl-s1>step</span>,<span class=pl-s1>interval</span>,<span class=pl-s1>ks</span>)</td>
      </tr>
      <tr>
        <td id="L1704" class="blob-num js-line-number" data-line-number="1704"></td>
        <td id="LC1704" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1705" class="blob-num js-line-number" data-line-number="1705"></td>
        <td id="LC1705" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>indices</span>:</td>
      </tr>
      <tr>
        <td id="L1706" class="blob-num js-line-number" data-line-number="1706"></td>
        <td id="LC1706" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>test_list</span>[<span class=pl-s1>i</span>].<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>p</span>))</td>
      </tr>
      <tr>
        <td id="L1707" class="blob-num js-line-number" data-line-number="1707"></td>
        <td id="LC1707" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L1708" class="blob-num js-line-number" data-line-number="1708"></td>
        <td id="LC1708" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>areas</span> <span class=pl-c1>=</span> [[] <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>ks</span>[<span class=pl-c1>2</span>])]</td>
      </tr>
      <tr>
        <td id="L1709" class="blob-num js-line-number" data-line-number="1709"></td>
        <td id="LC1709" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i</span> <span class=pl-c1>=</span> <span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1710" class="blob-num js-line-number" data-line-number="1710"></td>
        <td id="LC1710" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1711" class="blob-num js-line-number" data-line-number="1711"></td>
        <td id="LC1711" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>ps</span> <span class=pl-c1>in</span> <span class=pl-s1>test_list</span>:</td>
      </tr>
      <tr>
        <td id="L1712" class="blob-num js-line-number" data-line-number="1712"></td>
        <td id="LC1712" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>if</span> <span class=pl-en>len</span>(<span class=pl-s1>ps</span>) <span class=pl-c1>&gt;</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L1713" class="blob-num js-line-number" data-line-number="1713"></td>
        <td id="LC1713" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>areas</span>[<span class=pl-s1>i</span>].<span class=pl-en>append</span>(<span class=pl-en>area_poly</span>(<span class=pl-en>point_sorter</span>(<span class=pl-s1>ps</span>)))</td>
      </tr>
      <tr>
        <td id="L1714" class="blob-num js-line-number" data-line-number="1714"></td>
        <td id="LC1714" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>i</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1715" class="blob-num js-line-number" data-line-number="1715"></td>
        <td id="LC1715" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L1716" class="blob-num js-line-number" data-line-number="1716"></td>
        <td id="LC1716" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1717" class="blob-num js-line-number" data-line-number="1717"></td>
        <td id="LC1717" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>areas</span>[<span class=pl-s1>i</span>].<span class=pl-en>append</span>(<span class=pl-c1>0</span>)</td>
      </tr>
      <tr>
        <td id="L1718" class="blob-num js-line-number" data-line-number="1718"></td>
        <td id="LC1718" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>i</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1719" class="blob-num js-line-number" data-line-number="1719"></td>
        <td id="LC1719" class="blob-code blob-code-inner js-file-line">                </td>
      </tr>
      <tr>
        <td id="L1720" class="blob-num js-line-number" data-line-number="1720"></td>
        <td id="LC1720" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>areas_flat</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1721" class="blob-num js-line-number" data-line-number="1721"></td>
        <td id="LC1721" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1722" class="blob-num js-line-number" data-line-number="1722"></td>
        <td id="LC1722" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>sublist</span> <span class=pl-c1>in</span> <span class=pl-s1>areas</span>:</td>
      </tr>
      <tr>
        <td id="L1723" class="blob-num js-line-number" data-line-number="1723"></td>
        <td id="LC1723" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>sublist</span>:</td>
      </tr>
      <tr>
        <td id="L1724" class="blob-num js-line-number" data-line-number="1724"></td>
        <td id="LC1724" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>areas_flat</span>.<span class=pl-en>append</span>(<span class=pl-s1>i</span>)</td>
      </tr>
      <tr>
        <td id="L1725" class="blob-num js-line-number" data-line-number="1725"></td>
        <td id="LC1725" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>area_indices</span> <span class=pl-c1>=</span> <span class=pl-en>list</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>areas_flat</span>)<span class=pl-c1>&gt;</span><span class=pl-c1>0</span>)[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1726" class="blob-num js-line-number" data-line-number="1726"></td>
        <td id="LC1726" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1727" class="blob-num js-line-number" data-line-number="1727"></td>
        <td id="LC1727" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-s1>area_indices</span>:</td>
      </tr>
      <tr>
        <td id="L1728" class="blob-num js-line-number" data-line-number="1728"></td>
        <td id="LC1728" class="blob-code blob-code-inner js-file-line">            <span class=pl-v>L</span>[<span class=pl-s1>n</span>][<span class=pl-s1>i</span>]<span class=pl-c1>=</span><span class=pl-s1>areas_flat</span>[<span class=pl-s1>i</span>]</td>
      </tr>
      <tr>
        <td id="L1729" class="blob-num js-line-number" data-line-number="1729"></td>
        <td id="LC1729" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1730" class="blob-num js-line-number" data-line-number="1730"></td>
        <td id="LC1730" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L</span><span class=pl-c1>=</span> <span class=pl-v>L</span>[<span class=pl-c1>~</span><span class=pl-s1>np</span>.<span class=pl-en>all</span>(<span class=pl-v>L</span><span class=pl-c1>==</span><span class=pl-c1>0</span>, <span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>1</span>)]</td>
      </tr>
      <tr>
        <td id="L1731" class="blob-num js-line-number" data-line-number="1731"></td>
        <td id="LC1731" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>tmatrix</span>(<span class=pl-v>Tmat</span><span class=pl-c1>=</span><span class=pl-v>L</span>,<span class=pl-s1>grid</span><span class=pl-c1>=</span><span class=pl-s1>grid</span>,<span class=pl-s1>scaled_sample</span><span class=pl-c1>=</span><span class=pl-s1>xy_sample</span>,<span class=pl-s1>sample</span><span class=pl-c1>=</span><span class=pl-s1>sample</span>.<span class=pl-s1>sample</span>)</td>
      </tr>
      <tr>
        <td id="L1732" class="blob-num js-line-number" data-line-number="1732"></td>
        <td id="LC1732" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1733" class="blob-num js-line-number" data-line-number="1733"></td>
        <td id="LC1733" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>second_deriv_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1734" class="blob-num js-line-number" data-line-number="1734"></td>
        <td id="LC1734" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the Laplacian of f&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1735" class="blob-num js-line-number" data-line-number="1735"></td>
        <td id="LC1735" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span><span class=pl-c1>+</span><span class=pl-c1>10e-3</span></td>
      </tr>
      <tr>
        <td id="L1736" class="blob-num js-line-number" data-line-number="1736"></td>
        <td id="LC1736" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>)<span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>)<span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>)<span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>))))</td>
      </tr>
      <tr>
        <td id="L1737" class="blob-num js-line-number" data-line-number="1737"></td>
        <td id="LC1737" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad0</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)[<span class=pl-c1>0</span>],<span class=pl-s1>step</span>)[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L1738" class="blob-num js-line-number" data-line-number="1738"></td>
        <td id="LC1738" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad1</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)[<span class=pl-c1>1</span>],<span class=pl-s1>step</span>)[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1739" class="blob-num js-line-number" data-line-number="1739"></td>
        <td id="LC1739" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad2</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)[<span class=pl-c1>2</span>],<span class=pl-s1>step</span>)[<span class=pl-c1>2</span>])</td>
      </tr>
      <tr>
        <td id="L1740" class="blob-num js-line-number" data-line-number="1740"></td>
        <td id="LC1740" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-s1>fgrad0</span><span class=pl-c1>+</span><span class=pl-s1>fgrad1</span><span class=pl-c1>+</span><span class=pl-s1>fgrad2</span></td>
      </tr>
      <tr>
        <td id="L1741" class="blob-num js-line-number" data-line-number="1741"></td>
        <td id="LC1741" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1742" class="blob-num js-line-number" data-line-number="1742"></td>
        <td id="LC1742" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>likelihood_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>):</td>
      </tr>
      <tr>
        <td id="L1743" class="blob-num js-line-number" data-line-number="1743"></td>
        <td id="LC1743" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is the log-likelihood functional without a regularization </span></td>
      </tr>
      <tr>
        <td id="L1744" class="blob-num js-line-number" data-line-number="1744"></td>
        <td id="LC1744" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    term.</span></td>
      </tr>
      <tr>
        <td id="L1745" class="blob-num js-line-number" data-line-number="1745"></td>
        <td id="LC1745" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1746" class="blob-num js-line-number" data-line-number="1746"></td>
        <td id="LC1746" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1747" class="blob-num js-line-number" data-line-number="1747"></td>
        <td id="LC1747" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1748" class="blob-num js-line-number" data-line-number="1748"></td>
        <td id="LC1748" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1749" class="blob-num js-line-number" data-line-number="1749"></td>
        <td id="LC1749" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span></td>
      </tr>
      <tr>
        <td id="L1750" class="blob-num js-line-number" data-line-number="1750"></td>
        <td id="LC1750" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1751" class="blob-num js-line-number" data-line-number="1751"></td>
        <td id="LC1751" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>sobolev_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1752" class="blob-num js-line-number" data-line-number="1752"></td>
        <td id="LC1752" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the value of the functional with the H1 penalty for the 3-d </span></td>
      </tr>
      <tr>
        <td id="L1753" class="blob-num js-line-number" data-line-number="1753"></td>
        <td id="LC1753" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    implementation of the method.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1754" class="blob-num js-line-number" data-line-number="1754"></td>
        <td id="LC1754" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1755" class="blob-num js-line-number" data-line-number="1755"></td>
        <td id="LC1755" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1756" class="blob-num js-line-number" data-line-number="1756"></td>
        <td id="LC1756" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span><span class=pl-c1>+</span><span class=pl-c1>10e-3</span></td>
      </tr>
      <tr>
        <td id="L1757" class="blob-num js-line-number" data-line-number="1757"></td>
        <td id="LC1757" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1758" class="blob-num js-line-number" data-line-number="1758"></td>
        <td id="LC1758" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span> <span class=pl-c1>+</span> <span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-en>sum</span>(<span class=pl-s1>f</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)<span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-en>norm_fprime_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L1759" class="blob-num js-line-number" data-line-number="1759"></td>
        <td id="LC1759" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1760" class="blob-num js-line-number" data-line-number="1760"></td>
        <td id="LC1760" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>norm_fprime_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1761" class="blob-num js-line-number" data-line-number="1761"></td>
        <td id="LC1761" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the value of the norm of the derivative of f &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1762" class="blob-num js-line-number" data-line-number="1762"></td>
        <td id="LC1762" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>f</span>.<span class=pl-en>reshape</span>(<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>)<span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>)<span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>))),<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>ceil</span>(<span class=pl-en>len</span>(<span class=pl-s1>f</span>)<span class=pl-c1>**</span>(<span class=pl-c1>1</span><span class=pl-c1>/</span><span class=pl-c1>3</span>))))</td>
      </tr>
      <tr>
        <td id="L1763" class="blob-num js-line-number" data-line-number="1763"></td>
        <td id="LC1763" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>fgrad</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>gradient</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L1764" class="blob-num js-line-number" data-line-number="1764"></td>
        <td id="LC1764" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>sum</span>(<span class=pl-s1>np</span>.<span class=pl-en>ravel</span>((<span class=pl-s1>fgrad</span>[<span class=pl-c1>0</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>+</span><span class=pl-s1>fgrad</span>[<span class=pl-c1>1</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span><span class=pl-c1>+</span><span class=pl-s1>fgrad</span>[<span class=pl-c1>2</span>]<span class=pl-c1>**</span><span class=pl-c1>2</span>)))</td>
      </tr>
      <tr>
        <td id="L1765" class="blob-num js-line-number" data-line-number="1765"></td>
        <td id="LC1765" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1766" class="blob-num js-line-number" data-line-number="1766"></td>
        <td id="LC1766" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_sobolev_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1767" class="blob-num js-line-number" data-line-number="1767"></td>
        <td id="LC1767" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the value of the jacobian of the functional with the H1 penalty for</span></td>
      </tr>
      <tr>
        <td id="L1768" class="blob-num js-line-number" data-line-number="1768"></td>
        <td id="LC1768" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the 3-d implementation of the method.</span></td>
      </tr>
      <tr>
        <td id="L1769" class="blob-num js-line-number" data-line-number="1769"></td>
        <td id="LC1769" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1770" class="blob-num js-line-number" data-line-number="1770"></td>
        <td id="LC1770" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1771" class="blob-num js-line-number" data-line-number="1771"></td>
        <td id="LC1771" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1772" class="blob-num js-line-number" data-line-number="1772"></td>
        <td id="LC1772" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L1773" class="blob-num js-line-number" data-line-number="1773"></td>
        <td id="LC1773" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L1774" class="blob-num js-line-number" data-line-number="1774"></td>
        <td id="LC1774" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>f</span><span class=pl-c1>-</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-en>second_deriv_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>step</span>)</td>
      </tr>
      <tr>
        <td id="L1775" class="blob-num js-line-number" data-line-number="1775"></td>
        <td id="LC1775" class="blob-code blob-code-inner js-file-line"> </td>
      </tr>
      <tr>
        <td id="L1776" class="blob-num js-line-number" data-line-number="1776"></td>
        <td id="LC1776" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>norm_sq_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1777" class="blob-num js-line-number" data-line-number="1777"></td>
        <td id="LC1777" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function comptues the value of the functional with the squared L2 norm penalty for the 3-d </span></td>
      </tr>
      <tr>
        <td id="L1778" class="blob-num js-line-number" data-line-number="1778"></td>
        <td id="LC1778" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    implementation of the method.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1779" class="blob-num js-line-number" data-line-number="1779"></td>
        <td id="LC1779" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1780" class="blob-num js-line-number" data-line-number="1780"></td>
        <td id="LC1780" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1781" class="blob-num js-line-number" data-line-number="1781"></td>
        <td id="LC1781" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1782" class="blob-num js-line-number" data-line-number="1782"></td>
        <td id="LC1782" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span> <span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-en>sum</span>(<span class=pl-s1>f</span><span class=pl-c1>**</span><span class=pl-c1>2</span>)</td>
      </tr>
      <tr>
        <td id="L1783" class="blob-num js-line-number" data-line-number="1783"></td>
        <td id="LC1783" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1784" class="blob-num js-line-number" data-line-number="1784"></td>
        <td id="LC1784" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>entropy_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1785" class="blob-num js-line-number" data-line-number="1785"></td>
        <td id="LC1785" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function comptues the value of the functional with the entropy penalty for the 3-d </span></td>
      </tr>
      <tr>
        <td id="L1786" class="blob-num js-line-number" data-line-number="1786"></td>
        <td id="LC1786" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    implementation of the method.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1787" class="blob-num js-line-number" data-line-number="1787"></td>
        <td id="LC1787" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1788" class="blob-num js-line-number" data-line-number="1788"></td>
        <td id="LC1788" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1789" class="blob-num js-line-number" data-line-number="1789"></td>
        <td id="LC1789" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1790" class="blob-num js-line-number" data-line-number="1790"></td>
        <td id="LC1790" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span> <span class=pl-c1>+</span> <span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-en>sum</span>(<span class=pl-s1>f</span><span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1791" class="blob-num js-line-number" data-line-number="1791"></td>
        <td id="LC1791" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1792" class="blob-num js-line-number" data-line-number="1792"></td>
        <td id="LC1792" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1793" class="blob-num js-line-number" data-line-number="1793"></td>
        <td id="LC1793" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_likelihood_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>):</td>
      </tr>
      <tr>
        <td id="L1794" class="blob-num js-line-number" data-line-number="1794"></td>
        <td id="LC1794" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the jacobian of the regularization</span></td>
      </tr>
      <tr>
        <td id="L1795" class="blob-num js-line-number" data-line-number="1795"></td>
        <td id="LC1795" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional without any penalty term.</span></td>
      </tr>
      <tr>
        <td id="L1796" class="blob-num js-line-number" data-line-number="1796"></td>
        <td id="LC1796" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1797" class="blob-num js-line-number" data-line-number="1797"></td>
        <td id="LC1797" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span> <span class=pl-c1>&lt;</span> <span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1798" class="blob-num js-line-number" data-line-number="1798"></td>
        <td id="LC1798" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1799" class="blob-num js-line-number" data-line-number="1799"></td>
        <td id="LC1799" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L1800" class="blob-num js-line-number" data-line-number="1800"></td>
        <td id="LC1800" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L1801" class="blob-num js-line-number" data-line-number="1801"></td>
        <td id="LC1801" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span></td>
      </tr>
      <tr>
        <td id="L1802" class="blob-num js-line-number" data-line-number="1802"></td>
        <td id="LC1802" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1803" class="blob-num js-line-number" data-line-number="1803"></td>
        <td id="LC1803" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1804" class="blob-num js-line-number" data-line-number="1804"></td>
        <td id="LC1804" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_norm_sq_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1805" class="blob-num js-line-number" data-line-number="1805"></td>
        <td id="LC1805" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the value of the jacobian of the functional with the squared L2 norm penalty for</span></td>
      </tr>
      <tr>
        <td id="L1806" class="blob-num js-line-number" data-line-number="1806"></td>
        <td id="LC1806" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the 3-d implementation of the method.</span></td>
      </tr>
      <tr>
        <td id="L1807" class="blob-num js-line-number" data-line-number="1807"></td>
        <td id="LC1807" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1808" class="blob-num js-line-number" data-line-number="1808"></td>
        <td id="LC1808" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span> <span class=pl-c1>&lt;</span> <span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1809" class="blob-num js-line-number" data-line-number="1809"></td>
        <td id="LC1809" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1810" class="blob-num js-line-number" data-line-number="1810"></td>
        <td id="LC1810" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L1811" class="blob-num js-line-number" data-line-number="1811"></td>
        <td id="LC1811" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L1812" class="blob-num js-line-number" data-line-number="1812"></td>
        <td id="LC1812" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span><span class=pl-c1>2</span><span class=pl-c1>*</span><span class=pl-s1>f</span></td>
      </tr>
      <tr>
        <td id="L1813" class="blob-num js-line-number" data-line-number="1813"></td>
        <td id="LC1813" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1814" class="blob-num js-line-number" data-line-number="1814"></td>
        <td id="LC1814" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>jac_entropy_3d</span>(<span class=pl-s1>f</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-v>L_mat_long</span>,<span class=pl-s1>step</span>):</td>
      </tr>
      <tr>
        <td id="L1815" class="blob-num js-line-number" data-line-number="1815"></td>
        <td id="LC1815" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function computes the value of the jacobian of the functional with the entropy penalty for</span></td>
      </tr>
      <tr>
        <td id="L1816" class="blob-num js-line-number" data-line-number="1816"></td>
        <td id="LC1816" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the 3-d implementation of the method.</span></td>
      </tr>
      <tr>
        <td id="L1817" class="blob-num js-line-number" data-line-number="1817"></td>
        <td id="LC1817" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L1818" class="blob-num js-line-number" data-line-number="1818"></td>
        <td id="LC1818" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L_mat</span><span class=pl-c1>=</span><span class=pl-v>L_mat_long</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1819" class="blob-num js-line-number" data-line-number="1819"></td>
        <td id="LC1819" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1820" class="blob-num js-line-number" data-line-number="1820"></td>
        <td id="LC1820" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>denom</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L_mat</span>,<span class=pl-s1>f</span>)</td>
      </tr>
      <tr>
        <td id="L1821" class="blob-num js-line-number" data-line-number="1821"></td>
        <td id="LC1821" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-v>L_mat</span>.<span class=pl-v>T</span><span class=pl-c1>/</span><span class=pl-s1>denom</span></td>
      </tr>
      <tr>
        <td id="L1822" class="blob-num js-line-number" data-line-number="1822"></td>
        <td id="LC1822" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-s1>val</span>.<span class=pl-v>T</span>.<span class=pl-en>sum</span>(<span class=pl-s1>axis</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)<span class=pl-c1>/</span><span class=pl-s1>n</span><span class=pl-c1>+</span><span class=pl-s1>alpha</span><span class=pl-c1>*</span><span class=pl-s1>step</span><span class=pl-c1>**</span><span class=pl-c1>3</span><span class=pl-c1>*</span>(<span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>f</span>)<span class=pl-c1>+</span><span class=pl-c1>1</span>)</td>
      </tr>
      <tr>
        <td id="L1823" class="blob-num js-line-number" data-line-number="1823"></td>
        <td id="LC1823" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1824" class="blob-num js-line-number" data-line-number="1824"></td>
        <td id="LC1824" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>likelihood_l</span>(<span class=pl-s1>f</span>,<span class=pl-v>L</span>,<span class=pl-s1>n</span>):</td>
      </tr>
      <tr>
        <td id="L1825" class="blob-num js-line-number" data-line-number="1825"></td>
        <td id="LC1825" class="blob-code blob-code-inner js-file-line">    <span class=pl-v>L</span><span class=pl-c1>=</span><span class=pl-v>L</span>.<span class=pl-en>reshape</span>(<span class=pl-s1>n</span>,<span class=pl-en>len</span>(<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1826" class="blob-num js-line-number" data-line-number="1826"></td>
        <td id="LC1826" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>f</span>[<span class=pl-s1>f</span><span class=pl-c1>&lt;</span><span class=pl-c1>0</span>]<span class=pl-c1>=</span><span class=pl-c1>1e-6</span></td>
      </tr>
      <tr>
        <td id="L1827" class="blob-num js-line-number" data-line-number="1827"></td>
        <td id="LC1827" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-s1>np</span>.<span class=pl-en>dot</span>(<span class=pl-v>L</span>,<span class=pl-s1>f</span>))</td>
      </tr>
      <tr>
        <td id="L1828" class="blob-num js-line-number" data-line-number="1828"></td>
        <td id="LC1828" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-c1>-</span><span class=pl-en>sum</span>(<span class=pl-s1>val</span>)</td>
      </tr>
      <tr>
        <td id="L1829" class="blob-num js-line-number" data-line-number="1829"></td>
        <td id="LC1829" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1830" class="blob-num js-line-number" data-line-number="1830"></td>
        <td id="LC1830" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L1831" class="blob-num js-line-number" data-line-number="1831"></td>
        <td id="LC1831" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>rmle_3d</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>alpha</span>,<span class=pl-s1>tmat</span>,<span class=pl-s1>shift</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>k</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>jacobian</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>initial_guess</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>hessian_method</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>tolerance</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>max_iter</span><span class=pl-c1>=</span><span class=pl-c1>None</span>,<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-c1>None</span>):</td>
      </tr>
      <tr>
        <td id="L1832" class="blob-num js-line-number" data-line-number="1832"></td>
        <td id="LC1832" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is a sub-function of rmle(). This is a wrapper function for the SciPy Optimize minimize()</span></td>
      </tr>
      <tr>
        <td id="L1833" class="blob-num js-line-number" data-line-number="1833"></td>
        <td id="LC1833" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    function. It has 3 essential arguments which are: {functional, alpha, tmat}. </span></td>
      </tr>
      <tr>
        <td id="L1834" class="blob-num js-line-number" data-line-number="1834"></td>
        <td id="LC1834" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1835" class="blob-num js-line-number" data-line-number="1835"></td>
        <td id="LC1835" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Essential/Positional arguments:</span></td>
      </tr>
      <tr>
        <td id="L1836" class="blob-num js-line-number" data-line-number="1836"></td>
        <td id="LC1836" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1837" class="blob-num js-line-number" data-line-number="1837"></td>
        <td id="LC1837" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional - the choice of regularization functional</span></td>
      </tr>
      <tr>
        <td id="L1838" class="blob-num js-line-number" data-line-number="1838"></td>
        <td id="LC1838" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1839" class="blob-num js-line-number" data-line-number="1839"></td>
        <td id="LC1839" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    alpha - the choice of the alpha parameter which can be a constant or a string matching &#39;cv&#39; or &#39;lepskii&#39;</span></td>
      </tr>
      <tr>
        <td id="L1840" class="blob-num js-line-number" data-line-number="1840"></td>
        <td id="LC1840" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1841" class="blob-num js-line-number" data-line-number="1841"></td>
        <td id="LC1841" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    tmat - the class object tmatrix generated by the the transmatrix() function. This contains the </span></td>
      </tr>
      <tr>
        <td id="L1842" class="blob-num js-line-number" data-line-number="1842"></td>
        <td id="LC1842" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    transformation matrix used in the evaluation of the functional and its jacobian.</span></td>
      </tr>
      <tr>
        <td id="L1843" class="blob-num js-line-number" data-line-number="1843"></td>
        <td id="LC1843" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1844" class="blob-num js-line-number" data-line-number="1844"></td>
        <td id="LC1844" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    Optional arguments:</span></td>
      </tr>
      <tr>
        <td id="L1845" class="blob-num js-line-number" data-line-number="1845"></td>
        <td id="LC1845" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1846" class="blob-num js-line-number" data-line-number="1846"></td>
        <td id="LC1846" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    shift - When set to true, it implements the shifting algorithm used to prevent the instability in the </span></td>
      </tr>
      <tr>
        <td id="L1847" class="blob-num js-line-number" data-line-number="1847"></td>
        <td id="LC1847" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    algorithm when all random coefficients are centralized at zero.</span></td>
      </tr>
      <tr>
        <td id="L1848" class="blob-num js-line-number" data-line-number="1848"></td>
        <td id="LC1848" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1849" class="blob-num js-line-number" data-line-number="1849"></td>
        <td id="LC1849" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    k - an integer value that specifies the number of folds to be used in k-fold cross validation</span></td>
      </tr>
      <tr>
        <td id="L1850" class="blob-num js-line-number" data-line-number="1850"></td>
        <td id="LC1850" class="blob-code blob-code-inner js-file-line"><span class=pl-s>     </span></td>
      </tr>
      <tr>
        <td id="L1851" class="blob-num js-line-number" data-line-number="1851"></td>
        <td id="LC1851" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    jacobian - accepts a function as an argument or string type, for more options the please refer to the</span></td>
      </tr>
      <tr>
        <td id="L1852" class="blob-num js-line-number" data-line-number="1852"></td>
        <td id="LC1852" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    documentation of SciPy&#39;s minimize function for more details. In the case of this module, the jacobian of </span></td>
      </tr>
      <tr>
        <td id="L1853" class="blob-num js-line-number" data-line-number="1853"></td>
        <td id="LC1853" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    functional&#39;s explicit form is provided in the form of a function. We advise to keep this argument to its</span></td>
      </tr>
      <tr>
        <td id="L1854" class="blob-num js-line-number" data-line-number="1854"></td>
        <td id="LC1854" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    default status.</span></td>
      </tr>
      <tr>
        <td id="L1855" class="blob-num js-line-number" data-line-number="1855"></td>
        <td id="LC1855" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1856" class="blob-num js-line-number" data-line-number="1856"></td>
        <td id="LC1856" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    intiial_guess - an array argument that matches the dimensions of \hat{f_<span class=pl-cce>\b</span>beta}.</span></td>
      </tr>
      <tr>
        <td id="L1857" class="blob-num js-line-number" data-line-number="1857"></td>
        <td id="LC1857" class="blob-code blob-code-inner js-file-line"><span class=pl-s>     </span></td>
      </tr>
      <tr>
        <td id="L1858" class="blob-num js-line-number" data-line-number="1858"></td>
        <td id="LC1858" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    hessian_method -  the default is the &#39;2-point&#39; method implemented in the SciPy library. The user can </span></td>
      </tr>
      <tr>
        <td id="L1859" class="blob-num js-line-number" data-line-number="1859"></td>
        <td id="LC1859" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    provide the other hessian methods avaiable to the scipy optimize minimize() function.</span></td>
      </tr>
      <tr>
        <td id="L1860" class="blob-num js-line-number" data-line-number="1860"></td>
        <td id="LC1860" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1861" class="blob-num js-line-number" data-line-number="1861"></td>
        <td id="LC1861" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    constraints - the linear constraint for the optimization problem, namely: ||\hat{f_<span class=pl-cce>\b</span>beta}||_L1 = 1 i.e.</span></td>
      </tr>
      <tr>
        <td id="L1862" class="blob-num js-line-number" data-line-number="1862"></td>
        <td id="LC1862" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    the estimate \hat{f_<span class=pl-cce>\b</span>beta} should integrate to 1.</span></td>
      </tr>
      <tr>
        <td id="L1863" class="blob-num js-line-number" data-line-number="1863"></td>
        <td id="LC1863" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1864" class="blob-num js-line-number" data-line-number="1864"></td>
        <td id="LC1864" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    tolerance - a floating point argument that sets the tolerance value for the optimization problem.</span></td>
      </tr>
      <tr>
        <td id="L1865" class="blob-num js-line-number" data-line-number="1865"></td>
        <td id="LC1865" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1866" class="blob-num js-line-number" data-line-number="1866"></td>
        <td id="LC1866" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    max_iter - an integer that sets the maximum number of iterations.</span></td>
      </tr>
      <tr>
        <td id="L1867" class="blob-num js-line-number" data-line-number="1867"></td>
        <td id="LC1867" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    </span></td>
      </tr>
      <tr>
        <td id="L1868" class="blob-num js-line-number" data-line-number="1868"></td>
        <td id="LC1868" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    bounds - sets the bounds for the values of the estimate, the default value is a non-negativity constraint.</span></td>
      </tr>
      <tr>
        <td id="L1869" class="blob-num js-line-number" data-line-number="1869"></td>
        <td id="LC1869" class="blob-code blob-code-inner js-file-line"><span class=pl-s>    &quot;&quot;&quot;</span>     </td>
      </tr>
      <tr>
        <td id="L1870" class="blob-num js-line-number" data-line-number="1870"></td>
        <td id="LC1870" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>st</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1871" class="blob-num js-line-number" data-line-number="1871"></td>
        <td id="LC1871" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>n</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-en>n</span>()</td>
      </tr>
      <tr>
        <td id="L1872" class="blob-num js-line-number" data-line-number="1872"></td>
        <td id="LC1872" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>m</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-en>m</span>()</td>
      </tr>
      <tr>
        <td id="L1873" class="blob-num js-line-number" data-line-number="1873"></td>
        <td id="LC1873" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix_long</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>tmat</span>.<span class=pl-v>Tmat</span>)</td>
      </tr>
      <tr>
        <td id="L1874" class="blob-num js-line-number" data-line-number="1874"></td>
        <td id="LC1874" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>trans_matrix</span> <span class=pl-c1>=</span> <span class=pl-s1>tmat</span>.<span class=pl-v>Tmat</span></td>
      </tr>
      <tr>
        <td id="L1875" class="blob-num js-line-number" data-line-number="1875"></td>
        <td id="LC1875" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>step_size</span> <span class=pl-c1>=</span> <span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>step</span></td>
      </tr>
      <tr>
        <td id="L1876" class="blob-num js-line-number" data-line-number="1876"></td>
        <td id="LC1876" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sample</span> <span class=pl-c1>=</span> <span class=pl-s1>tmat</span>.<span class=pl-s1>sample</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L1877" class="blob-num js-line-number" data-line-number="1877"></td>
        <td id="LC1877" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>lepskii_matches</span> <span class=pl-c1>=</span> [<span class=pl-s>&#39;lep&#39;</span>,<span class=pl-s>&#39;lepskii&#39;</span>,<span class=pl-s>&#39;lepskii<span class=pl-cce>\&#39;</span>s principle&#39;</span>, <span class=pl-s>&#39;lp&#39;</span>]</td>
      </tr>
      <tr>
        <td id="L1878" class="blob-num js-line-number" data-line-number="1878"></td>
        <td id="LC1878" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>cv_matches</span> <span class=pl-c1>=</span> [<span class=pl-s>&#39;cv&#39;</span>,<span class=pl-s>&#39;cross&#39;</span>,<span class=pl-s>&#39;cross val&#39;</span>, <span class=pl-s>&#39;validation&#39;</span>,<span class=pl-s>&#39;crossvalidation&#39;</span>,<span class=pl-s>&#39;cross-validation&#39;</span>]</td>
      </tr>
      <tr>
        <td id="L1879" class="blob-num js-line-number" data-line-number="1879"></td>
        <td id="LC1879" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1880" class="blob-num js-line-number" data-line-number="1880"></td>
        <td id="LC1880" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s>&#39;3d&#39;</span> <span class=pl-c1>not</span> <span class=pl-c1>in</span> <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>):</td>
      </tr>
      <tr>
        <td id="L1881" class="blob-num js-line-number" data-line-number="1881"></td>
        <td id="LC1881" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>raise</span> <span class=pl-v>ValueError</span>(<span class=pl-s>&quot;The 3-dimensional implementation requires a matching 3-dimensional functional. <span class=pl-cce>\</span></span></td>
      </tr>
      <tr>
        <td id="L1882" class="blob-num js-line-number" data-line-number="1882"></td>
        <td id="LC1882" class="blob-code blob-code-inner js-file-line"><span class=pl-s><span class=pl-cce></span>Try to supply any of the accepted functional values: {likelihood_3d, norm_sq_3d, sobolev_3d, entropy_3d}&quot;</span>)</td>
      </tr>
      <tr>
        <td id="L1883" class="blob-num js-line-number" data-line-number="1883"></td>
        <td id="LC1883" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1884" class="blob-num js-line-number" data-line-number="1884"></td>
        <td id="LC1884" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>initial_guess</span> <span class=pl-c1>is</span> <span class=pl-c1>not</span> <span class=pl-c1>None</span>:</td>
      </tr>
      <tr>
        <td id="L1885" class="blob-num js-line-number" data-line-number="1885"></td>
        <td id="LC1885" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>initial_guess</span> <span class=pl-c1>=</span> <span class=pl-s1>initial_guess</span></td>
      </tr>
      <tr>
        <td id="L1886" class="blob-num js-line-number" data-line-number="1886"></td>
        <td id="LC1886" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1887" class="blob-num js-line-number" data-line-number="1887"></td>
        <td id="LC1887" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1888" class="blob-num js-line-number" data-line-number="1888"></td>
        <td id="LC1888" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>initial_guess</span> <span class=pl-c1>=</span> <span class=pl-en>initial_gauss</span>(<span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>)</td>
      </tr>
      <tr>
        <td id="L1889" class="blob-num js-line-number" data-line-number="1889"></td>
        <td id="LC1889" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1890" class="blob-num js-line-number" data-line-number="1890"></td>
        <td id="LC1890" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>jacobian</span>:</td>
      </tr>
      <tr>
        <td id="L1891" class="blob-num js-line-number" data-line-number="1891"></td>
        <td id="LC1891" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>if</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>sobolev_3d</span>:</td>
      </tr>
      <tr>
        <td id="L1892" class="blob-num js-line-number" data-line-number="1892"></td>
        <td id="LC1892" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_sobolev_3d</span></td>
      </tr>
      <tr>
        <td id="L1893" class="blob-num js-line-number" data-line-number="1893"></td>
        <td id="LC1893" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>likelihood_3d</span>:</td>
      </tr>
      <tr>
        <td id="L1894" class="blob-num js-line-number" data-line-number="1894"></td>
        <td id="LC1894" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_likelihood_3d</span></td>
      </tr>
      <tr>
        <td id="L1895" class="blob-num js-line-number" data-line-number="1895"></td>
        <td id="LC1895" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>norm_sq_3d</span>:</td>
      </tr>
      <tr>
        <td id="L1896" class="blob-num js-line-number" data-line-number="1896"></td>
        <td id="LC1896" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_norm_sq_3d</span></td>
      </tr>
      <tr>
        <td id="L1897" class="blob-num js-line-number" data-line-number="1897"></td>
        <td id="LC1897" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>elif</span> <span class=pl-s1>functional</span> <span class=pl-c1>==</span> <span class=pl-s1>entropy_3d</span>:</td>
      </tr>
      <tr>
        <td id="L1898" class="blob-num js-line-number" data-line-number="1898"></td>
        <td id="LC1898" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jac_entropy_3d</span></td>
      </tr>
      <tr>
        <td id="L1899" class="blob-num js-line-number" data-line-number="1899"></td>
        <td id="LC1899" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L1900" class="blob-num js-line-number" data-line-number="1900"></td>
        <td id="LC1900" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jacobian</span> <span class=pl-c1>=</span> <span class=pl-s1>jacobian</span></td>
      </tr>
      <tr>
        <td id="L1901" class="blob-num js-line-number" data-line-number="1901"></td>
        <td id="LC1901" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1902" class="blob-num js-line-number" data-line-number="1902"></td>
        <td id="LC1902" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>hessian_method</span>:</td>
      </tr>
      <tr>
        <td id="L1903" class="blob-num js-line-number" data-line-number="1903"></td>
        <td id="LC1903" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>hessian_method</span> <span class=pl-c1>=</span> <span class=pl-s>&#39;2-point&#39;</span></td>
      </tr>
      <tr>
        <td id="L1904" class="blob-num js-line-number" data-line-number="1904"></td>
        <td id="LC1904" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1905" class="blob-num js-line-number" data-line-number="1905"></td>
        <td id="LC1905" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1906" class="blob-num js-line-number" data-line-number="1906"></td>
        <td id="LC1906" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>hessian_method</span> <span class=pl-c1>=</span> <span class=pl-s1>hessian_method</span></td>
      </tr>
      <tr>
        <td id="L1907" class="blob-num js-line-number" data-line-number="1907"></td>
        <td id="LC1907" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1908" class="blob-num js-line-number" data-line-number="1908"></td>
        <td id="LC1908" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>constraints</span>:</td>
      </tr>
      <tr>
        <td id="L1909" class="blob-num js-line-number" data-line-number="1909"></td>
        <td id="LC1909" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>linear_constraint</span><span class=pl-c1>=</span><span class=pl-s1>scop</span>.<span class=pl-v>LinearConstraint</span>([<span class=pl-s1>step_size</span><span class=pl-c1>**</span><span class=pl-c1>3</span>]<span class=pl-c1>*</span><span class=pl-en>len</span>(<span class=pl-s1>initial_guess</span>),[<span class=pl-c1>1</span>],[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L1910" class="blob-num js-line-number" data-line-number="1910"></td>
        <td id="LC1910" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>constraints</span> <span class=pl-c1>=</span> <span class=pl-s1>linear_constraint</span></td>
      </tr>
      <tr>
        <td id="L1911" class="blob-num js-line-number" data-line-number="1911"></td>
        <td id="LC1911" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1912" class="blob-num js-line-number" data-line-number="1912"></td>
        <td id="LC1912" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1913" class="blob-num js-line-number" data-line-number="1913"></td>
        <td id="LC1913" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>constraints</span> <span class=pl-c1>=</span> <span class=pl-s1>constraints</span></td>
      </tr>
      <tr>
        <td id="L1914" class="blob-num js-line-number" data-line-number="1914"></td>
        <td id="LC1914" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1915" class="blob-num js-line-number" data-line-number="1915"></td>
        <td id="LC1915" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>tolerance</span>:</td>
      </tr>
      <tr>
        <td id="L1916" class="blob-num js-line-number" data-line-number="1916"></td>
        <td id="LC1916" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>tolerance</span> <span class=pl-c1>=</span> <span class=pl-c1>1e-12</span></td>
      </tr>
      <tr>
        <td id="L1917" class="blob-num js-line-number" data-line-number="1917"></td>
        <td id="LC1917" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1918" class="blob-num js-line-number" data-line-number="1918"></td>
        <td id="LC1918" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1919" class="blob-num js-line-number" data-line-number="1919"></td>
        <td id="LC1919" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>tolerance</span> <span class=pl-c1>=</span> <span class=pl-s1>tolerance</span></td>
      </tr>
      <tr>
        <td id="L1920" class="blob-num js-line-number" data-line-number="1920"></td>
        <td id="LC1920" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1921" class="blob-num js-line-number" data-line-number="1921"></td>
        <td id="LC1921" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>max_iter</span>:</td>
      </tr>
      <tr>
        <td id="L1922" class="blob-num js-line-number" data-line-number="1922"></td>
        <td id="LC1922" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>max_iter</span> <span class=pl-c1>=</span> <span class=pl-c1>10</span><span class=pl-c1>*</span><span class=pl-s1>m</span></td>
      </tr>
      <tr>
        <td id="L1923" class="blob-num js-line-number" data-line-number="1923"></td>
        <td id="LC1923" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1924" class="blob-num js-line-number" data-line-number="1924"></td>
        <td id="LC1924" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>: </td>
      </tr>
      <tr>
        <td id="L1925" class="blob-num js-line-number" data-line-number="1925"></td>
        <td id="LC1925" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>max_iter</span> <span class=pl-c1>=</span> <span class=pl-s1>max_iter</span></td>
      </tr>
      <tr>
        <td id="L1926" class="blob-num js-line-number" data-line-number="1926"></td>
        <td id="LC1926" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1927" class="blob-num js-line-number" data-line-number="1927"></td>
        <td id="LC1927" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>bounds</span>:</td>
      </tr>
      <tr>
        <td id="L1928" class="blob-num js-line-number" data-line-number="1928"></td>
        <td id="LC1928" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>bound</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-v>Bounds</span>(<span class=pl-c1>0</span>,<span class=pl-s1>np</span>.<span class=pl-s1>inf</span>)</td>
      </tr>
      <tr>
        <td id="L1929" class="blob-num js-line-number" data-line-number="1929"></td>
        <td id="LC1929" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1930" class="blob-num js-line-number" data-line-number="1930"></td>
        <td id="LC1930" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1931" class="blob-num js-line-number" data-line-number="1931"></td>
        <td id="LC1931" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>bound</span> <span class=pl-c1>=</span> <span class=pl-s1>bounds</span></td>
      </tr>
      <tr>
        <td id="L1932" class="blob-num js-line-number" data-line-number="1932"></td>
        <td id="LC1932" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1933" class="blob-num js-line-number" data-line-number="1933"></td>
        <td id="LC1933" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-c1>not</span> <span class=pl-s1>k</span>:</td>
      </tr>
      <tr>
        <td id="L1934" class="blob-num js-line-number" data-line-number="1934"></td>
        <td id="LC1934" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-c1>10</span></td>
      </tr>
      <tr>
        <td id="L1935" class="blob-num js-line-number" data-line-number="1935"></td>
        <td id="LC1935" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1936" class="blob-num js-line-number" data-line-number="1936"></td>
        <td id="LC1936" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L1937" class="blob-num js-line-number" data-line-number="1937"></td>
        <td id="LC1937" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>k</span> <span class=pl-c1>=</span> <span class=pl-s1>k</span></td>
      </tr>
      <tr>
        <td id="L1938" class="blob-num js-line-number" data-line-number="1938"></td>
        <td id="LC1938" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1939" class="blob-num js-line-number" data-line-number="1939"></td>
        <td id="LC1939" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>shift</span> <span class=pl-c1>==</span> <span class=pl-c1>True</span>:</td>
      </tr>
      <tr>
        <td id="L1940" class="blob-num js-line-number" data-line-number="1940"></td>
        <td id="LC1940" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>num_shifts</span> <span class=pl-c1>=</span> <span class=pl-c1>10</span></td>
      </tr>
      <tr>
        <td id="L1941" class="blob-num js-line-number" data-line-number="1941"></td>
        <td id="LC1941" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>reconstructions</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1942" class="blob-num js-line-number" data-line-number="1942"></td>
        <td id="LC1942" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>shift_tmatrix_list</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1943" class="blob-num js-line-number" data-line-number="1943"></td>
        <td id="LC1943" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1944" class="blob-num js-line-number" data-line-number="1944"></td>
        <td id="LC1944" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1945" class="blob-num js-line-number" data-line-number="1945"></td>
        <td id="LC1945" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>while</span> <span class=pl-s1>i</span> <span class=pl-c1>&lt;</span> <span class=pl-s1>num_shifts</span>:</td>
      </tr>
      <tr>
        <td id="L1946" class="blob-num js-line-number" data-line-number="1946"></td>
        <td id="LC1946" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shifts</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>([<span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>uniform</span>(<span class=pl-c1>1</span>,<span class=pl-c1>2.5</span>)<span class=pl-c1>/</span><span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>b0</span>,<span class=pl-c1>0</span>,<span class=pl-c1>0</span>]) <span class=pl-c1>+</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>)</td>
      </tr>
      <tr>
        <td id="L1947" class="blob-num js-line-number" data-line-number="1947"></td>
        <td id="LC1947" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shifted_grid</span> <span class=pl-c1>=</span> <span class=pl-en>grid_obj</span>(<span class=pl-s1>interval</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>interval</span>,<span class=pl-s1>scale</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>scale</span>, <span class=pl-s1>shifts</span> <span class=pl-c1>=</span> <span class=pl-s1>shifts</span>, <span class=pl-s1>dim</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>dim</span>,<span class=pl-s1>step</span><span class=pl-c1>=</span><span class=pl-s1>step_size</span>,<span class=pl-s1>start</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>start</span>,<span class=pl-s1>end</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>.<span class=pl-s1>grid</span>.<span class=pl-s1>end</span>)</td>
      </tr>
      <tr>
        <td id="L1948" class="blob-num js-line-number" data-line-number="1948"></td>
        <td id="LC1948" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shift_tmatrix</span> <span class=pl-c1>=</span> <span class=pl-en>transmatrix</span>(<span class=pl-s1>sample</span>,<span class=pl-s1>shifted_grid</span>)</td>
      </tr>
      <tr>
        <td id="L1949" class="blob-num js-line-number" data-line-number="1949"></td>
        <td id="LC1949" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>n</span><span class=pl-c1>=</span><span class=pl-s1>shift_tmatrix</span>.<span class=pl-en>n</span>()</td>
      </tr>
      <tr>
        <td id="L1950" class="blob-num js-line-number" data-line-number="1950"></td>
        <td id="LC1950" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shift_tmatrix_list</span>.<span class=pl-en>append</span>(<span class=pl-s1>shift_tmatrix</span>)</td>
      </tr>
      <tr>
        <td id="L1951" class="blob-num js-line-number" data-line-number="1951"></td>
        <td id="LC1951" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>shift_trans_matrix_long</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ravel</span>(<span class=pl-s1>shift_tmatrix</span>.<span class=pl-v>Tmat</span>)</td>
      </tr>
      <tr>
        <td id="L1952" class="blob-num js-line-number" data-line-number="1952"></td>
        <td id="LC1952" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>rec</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-s1>shift_trans_matrix_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>0</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1953" class="blob-num js-line-number" data-line-number="1953"></td>
        <td id="LC1953" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>rec</span>.<span class=pl-s1>x</span>)</td>
      </tr>
      <tr>
        <td id="L1954" class="blob-num js-line-number" data-line-number="1954"></td>
        <td id="LC1954" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>i</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1955" class="blob-num js-line-number" data-line-number="1955"></td>
        <td id="LC1955" class="blob-code blob-code-inner js-file-line">            <span class=pl-en>updt</span>(<span class=pl-s1>num_shifts</span>, <span class=pl-s1>i</span>)</td>
      </tr>
      <tr>
        <td id="L1956" class="blob-num js-line-number" data-line-number="1956"></td>
        <td id="LC1956" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1957" class="blob-num js-line-number" data-line-number="1957"></td>
        <td id="LC1957" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>l2s</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1958" class="blob-num js-line-number" data-line-number="1958"></td>
        <td id="LC1958" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>r</span> <span class=pl-c1>in</span> <span class=pl-s1>reconstructions</span>:</td>
      </tr>
      <tr>
        <td id="L1959" class="blob-num js-line-number" data-line-number="1959"></td>
        <td id="LC1959" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>l2s</span>.<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>r</span>))</td>
      </tr>
      <tr>
        <td id="L1960" class="blob-num js-line-number" data-line-number="1960"></td>
        <td id="LC1960" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L1961" class="blob-num js-line-number" data-line-number="1961"></td>
        <td id="LC1961" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>l2_arr</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>l2s</span>).<span class=pl-en>reshape</span>(<span class=pl-c1>-</span><span class=pl-c1>1</span>,<span class=pl-c1>1</span>)</td>
      </tr>
      <tr>
        <td id="L1962" class="blob-num js-line-number" data-line-number="1962"></td>
        <td id="LC1962" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>kmeans</span> <span class=pl-c1>=</span> <span class=pl-v>KMeans</span>(<span class=pl-s1>n_clusters</span> <span class=pl-c1>=</span> <span class=pl-c1>2</span>, <span class=pl-s1>init</span> <span class=pl-c1>=</span> <span class=pl-s>&#39;k-means++&#39;</span>, <span class=pl-s1>max_iter</span> <span class=pl-c1>=</span> <span class=pl-c1>300</span>, <span class=pl-s1>n_init</span> <span class=pl-c1>=</span> <span class=pl-c1>10</span>, <span class=pl-s1>random_state</span><span class=pl-c1>=</span><span class=pl-c1>0</span>)</td>
      </tr>
      <tr>
        <td id="L1963" class="blob-num js-line-number" data-line-number="1963"></td>
        <td id="LC1963" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>ys</span> <span class=pl-c1>=</span> <span class=pl-s1>kmeans</span>.<span class=pl-en>fit_predict</span>(<span class=pl-s1>l2_arr</span>)</td>
      </tr>
      <tr>
        <td id="L1964" class="blob-num js-line-number" data-line-number="1964"></td>
        <td id="LC1964" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>indices</span> <span class=pl-c1>=</span> <span class=pl-en>select_cluster</span>(<span class=pl-s1>ys</span>,<span class=pl-s1>kmeans</span>,<span class=pl-s1>l2s</span>)[<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1965" class="blob-num js-line-number" data-line-number="1965"></td>
        <td id="LC1965" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>centroid</span> <span class=pl-c1>=</span> <span class=pl-s1>kmeans</span>.<span class=pl-s1>cluster_centers_</span>[<span class=pl-en>select_cluster</span>(<span class=pl-s1>ys</span>,<span class=pl-s1>kmeans</span>,<span class=pl-s1>l2s</span>)[<span class=pl-c1>1</span>]][<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1966" class="blob-num js-line-number" data-line-number="1966"></td>
        <td id="LC1966" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>diff_l2_arr</span> <span class=pl-c1>=</span> <span class=pl-en>abs</span>(<span class=pl-s1>l2_arr</span>[<span class=pl-s1>indices</span>] <span class=pl-c1>-</span> <span class=pl-s1>centroid</span>)</td>
      </tr>
      <tr>
        <td id="L1967" class="blob-num js-line-number" data-line-number="1967"></td>
        <td id="LC1967" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>min_index</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>diff_l2_arr</span><span class=pl-c1>==</span><span class=pl-s1>np</span>.<span class=pl-en>min</span>(<span class=pl-s1>diff_l2_arr</span>))[<span class=pl-c1>0</span>][<span class=pl-c1>0</span>]</td>
      </tr>
      <tr>
        <td id="L1968" class="blob-num js-line-number" data-line-number="1968"></td>
        <td id="LC1968" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>rec_choice</span> <span class=pl-c1>=</span> <span class=pl-s1>reconstructions</span>[<span class=pl-s1>min_index</span>]</td>
      </tr>
      <tr>
        <td id="L1969" class="blob-num js-line-number" data-line-number="1969"></td>
        <td id="LC1969" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>shifted_tmatrix</span> <span class=pl-c1>=</span> <span class=pl-s1>shift_tmatrix_list</span>[<span class=pl-s1>min_index</span>]</td>
      </tr>
      <tr>
        <td id="L1970" class="blob-num js-line-number" data-line-number="1970"></td>
        <td id="LC1970" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L1971" class="blob-num js-line-number" data-line-number="1971"></td>
        <td id="LC1971" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L1972" class="blob-num js-line-number" data-line-number="1972"></td>
        <td id="LC1972" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1973" class="blob-num js-line-number" data-line-number="1973"></td>
        <td id="LC1973" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L1974" class="blob-num js-line-number" data-line-number="1974"></td>
        <td id="LC1974" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L1975" class="blob-num js-line-number" data-line-number="1975"></td>
        <td id="LC1975" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L1976" class="blob-num js-line-number" data-line-number="1976"></td>
        <td id="LC1976" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L1977" class="blob-num js-line-number" data-line-number="1977"></td>
        <td id="LC1977" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Number of Shifts Applied&quot;</span>: <span class=pl-s1>num_shifts</span>,</td>
      </tr>
      <tr>
        <td id="L1978" class="blob-num js-line-number" data-line-number="1978"></td>
        <td id="LC1978" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L1979" class="blob-num js-line-number" data-line-number="1979"></td>
        <td id="LC1979" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>min_index</span>],<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alpha</span>,<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;User&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>shifted_tmatrix</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L1980" class="blob-num js-line-number" data-line-number="1980"></td>
        <td id="LC1980" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L1981" class="blob-num js-line-number" data-line-number="1981"></td>
        <td id="LC1981" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-en>any</span>(<span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>str</span>.<span class=pl-en>lower</span>(<span class=pl-en>str</span>(<span class=pl-s1>alpha</span>)) <span class=pl-k>for</span> <span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>lepskii_matches</span>):</td>
      </tr>
      <tr>
        <td id="L1982" class="blob-num js-line-number" data-line-number="1982"></td>
        <td id="LC1982" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>r</span><span class=pl-c1>=</span><span class=pl-c1>1.2</span></td>
      </tr>
      <tr>
        <td id="L1983" class="blob-num js-line-number" data-line-number="1983"></td>
        <td id="LC1983" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-en>alpha_lep</span>(<span class=pl-c1>70</span>,<span class=pl-s1>n</span>,<span class=pl-s1>r</span>)</td>
      </tr>
      <tr>
        <td id="L1984" class="blob-num js-line-number" data-line-number="1984"></td>
        <td id="LC1984" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>reconstructions</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1985" class="blob-num js-line-number" data-line-number="1985"></td>
        <td id="LC1985" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>total</span> <span class=pl-c1>=</span> <span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)</td>
      </tr>
      <tr>
        <td id="L1986" class="blob-num js-line-number" data-line-number="1986"></td>
        <td id="LC1986" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>i_range</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>arange</span>(<span class=pl-c1>0</span>,<span class=pl-en>len</span>(<span class=pl-s1>alphas</span>))</td>
      </tr>
      <tr>
        <td id="L1987" class="blob-num js-line-number" data-line-number="1987"></td>
        <td id="LC1987" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1988" class="blob-num js-line-number" data-line-number="1988"></td>
        <td id="LC1988" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>times</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L1989" class="blob-num js-line-number" data-line-number="1989"></td>
        <td id="LC1989" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1990" class="blob-num js-line-number" data-line-number="1990"></td>
        <td id="LC1990" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>a</span> <span class=pl-c1>in</span> <span class=pl-s1>alphas</span>:</td>
      </tr>
      <tr>
        <td id="L1991" class="blob-num js-line-number" data-line-number="1991"></td>
        <td id="LC1991" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>rec</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>a</span>,<span class=pl-s1>n</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>False</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L1992" class="blob-num js-line-number" data-line-number="1992"></td>
        <td id="LC1992" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>rec</span>.<span class=pl-s1>x</span>)</td>
      </tr>
      <tr>
        <td id="L1993" class="blob-num js-line-number" data-line-number="1993"></td>
        <td id="LC1993" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L1994" class="blob-num js-line-number" data-line-number="1994"></td>
        <td id="LC1994" class="blob-code blob-code-inner js-file-line">            <span class=pl-en>updt</span>(<span class=pl-s1>total</span>,<span class=pl-s1>j</span>)</td>
      </tr>
      <tr>
        <td id="L1995" class="blob-num js-line-number" data-line-number="1995"></td>
        <td id="LC1995" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>approx_errs</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L1996" class="blob-num js-line-number" data-line-number="1996"></td>
        <td id="LC1996" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L1997" class="blob-num js-line-number" data-line-number="1997"></td>
        <td id="LC1997" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>1</span>,<span class=pl-en>len</span>(<span class=pl-s1>reconstructions</span>)):</td>
      </tr>
      <tr>
        <td id="L1998" class="blob-num js-line-number" data-line-number="1998"></td>
        <td id="LC1998" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>jj</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L1999" class="blob-num js-line-number" data-line-number="1999"></td>
        <td id="LC1999" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>approx_error</span> <span class=pl-c1>=</span> []</td>
      </tr>
      <tr>
        <td id="L2000" class="blob-num js-line-number" data-line-number="2000"></td>
        <td id="LC2000" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L2001" class="blob-num js-line-number" data-line-number="2001"></td>
        <td id="LC2001" class="blob-code blob-code-inner js-file-line">            <span class=pl-k>while</span> <span class=pl-s1>jj</span> <span class=pl-c1>&lt;</span> <span class=pl-s1>i</span>:</td>
      </tr>
      <tr>
        <td id="L2002" class="blob-num js-line-number" data-line-number="2002"></td>
        <td id="LC2002" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>approx_error</span>.<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-s1>linalg</span>.<span class=pl-en>norm</span>(<span class=pl-s1>reconstructions</span>[<span class=pl-s1>i</span>]<span class=pl-c1>-</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>jj</span>]))</td>
      </tr>
      <tr>
        <td id="L2003" class="blob-num js-line-number" data-line-number="2003"></td>
        <td id="LC2003" class="blob-code blob-code-inner js-file-line">                <span class=pl-s1>jj</span><span class=pl-c1>+=</span><span class=pl-c1>1</span></td>
      </tr>
      <tr>
        <td id="L2004" class="blob-num js-line-number" data-line-number="2004"></td>
        <td id="LC2004" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>approx_errs</span>.<span class=pl-en>append</span>(<span class=pl-s1>approx_error</span>)</td>
      </tr>
      <tr>
        <td id="L2005" class="blob-num js-line-number" data-line-number="2005"></td>
        <td id="LC2005" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>prop_errors</span><span class=pl-c1>=</span><span class=pl-en>prop_n</span>(<span class=pl-s1>r</span>,<span class=pl-c1>2</span>,<span class=pl-s1>i_range</span>)</td>
      </tr>
      <tr>
        <td id="L2006" class="blob-num js-line-number" data-line-number="2006"></td>
        <td id="LC2006" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>diffs</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L2007" class="blob-num js-line-number" data-line-number="2007"></td>
        <td id="LC2007" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L2008" class="blob-num js-line-number" data-line-number="2008"></td>
        <td id="LC2008" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>p</span> <span class=pl-c1>in</span> <span class=pl-s1>approx_errs</span>:</td>
      </tr>
      <tr>
        <td id="L2009" class="blob-num js-line-number" data-line-number="2009"></td>
        <td id="LC2009" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>n_p</span> <span class=pl-c1>=</span> <span class=pl-en>int</span>(<span class=pl-en>len</span>(<span class=pl-s1>p</span>))</td>
      </tr>
      <tr>
        <td id="L2010" class="blob-num js-line-number" data-line-number="2010"></td>
        <td id="LC2010" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>diffs</span>.<span class=pl-en>append</span>(<span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>prop_errors</span>[:<span class=pl-s1>n_p</span>])<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>p</span>))</td>
      </tr>
      <tr>
        <td id="L2011" class="blob-num js-line-number" data-line-number="2011"></td>
        <td id="LC2011" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>index</span><span class=pl-c1>=</span><span class=pl-en>index_finder</span>(<span class=pl-s1>diffs</span>)</td>
      </tr>
      <tr>
        <td id="L2012" class="blob-num js-line-number" data-line-number="2012"></td>
        <td id="LC2012" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L2013" class="blob-num js-line-number" data-line-number="2013"></td>
        <td id="LC2013" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L2014" class="blob-num js-line-number" data-line-number="2014"></td>
        <td id="LC2014" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L2015" class="blob-num js-line-number" data-line-number="2015"></td>
        <td id="LC2015" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L2016" class="blob-num js-line-number" data-line-number="2016"></td>
        <td id="LC2016" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L2017" class="blob-num js-line-number" data-line-number="2017"></td>
        <td id="LC2017" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L2018" class="blob-num js-line-number" data-line-number="2018"></td>
        <td id="LC2018" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L2019" class="blob-num js-line-number" data-line-number="2019"></td>
        <td id="LC2019" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Number of Lepskii iterations&quot;</span>: <span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)</td>
      </tr>
      <tr>
        <td id="L2020" class="blob-num js-line-number" data-line-number="2020"></td>
        <td id="LC2020" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L2021" class="blob-num js-line-number" data-line-number="2021"></td>
        <td id="LC2021" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alphas</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;Lepskii&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L2022" class="blob-num js-line-number" data-line-number="2022"></td>
        <td id="LC2022" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-en>any</span>(<span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>str</span>.<span class=pl-en>lower</span>(<span class=pl-en>str</span>(<span class=pl-s1>alpha</span>)) <span class=pl-k>for</span> <span class=pl-s1>c</span> <span class=pl-c1>in</span> <span class=pl-s1>cv_matches</span>):</td>
      </tr>
      <tr>
        <td id="L2023" class="blob-num js-line-number" data-line-number="2023"></td>
        <td id="LC2023" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-en>alpha_vals</span>(<span class=pl-s1>step_size</span><span class=pl-c1>*</span><span class=pl-c1>3</span>,<span class=pl-c1>30</span>)</td>
      </tr>
      <tr>
        <td id="L2024" class="blob-num js-line-number" data-line-number="2024"></td>
        <td id="LC2024" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>lhood</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L2025" class="blob-num js-line-number" data-line-number="2025"></td>
        <td id="LC2025" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>reconstructions</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L2026" class="blob-num js-line-number" data-line-number="2026"></td>
        <td id="LC2026" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>alpha_list</span><span class=pl-c1>=</span>[]</td>
      </tr>
      <tr>
        <td id="L2027" class="blob-num js-line-number" data-line-number="2027"></td>
        <td id="LC2027" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>trans_matrix</span><span class=pl-c1>=</span><span class=pl-en>sample_shuffle</span>(<span class=pl-s1>trans_matrix</span>)</td>
      </tr>
      <tr>
        <td id="L2028" class="blob-num js-line-number" data-line-number="2028"></td>
        <td id="LC2028" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>time_start</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L2029" class="blob-num js-line-number" data-line-number="2029"></td>
        <td id="LC2029" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-c1>0</span></td>
      </tr>
      <tr>
        <td id="L2030" class="blob-num js-line-number" data-line-number="2030"></td>
        <td id="LC2030" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>total</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>ceil</span>((<span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-c1>4</span>)<span class=pl-c1>-</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-en>len</span>(<span class=pl-s1>alphas</span>)))<span class=pl-c1>/</span>(<span class=pl-c1>0.25</span><span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-c1>0.25</span>)<span class=pl-c1>+</span><span class=pl-c1>0.75</span><span class=pl-c1>*</span><span class=pl-s1>np</span>.<span class=pl-en>log</span>(<span class=pl-c1>0.75</span>)))<span class=pl-c1>*</span><span class=pl-c1>4</span> <span class=pl-c1>*</span> <span class=pl-s1>k</span></td>
      </tr>
      <tr>
        <td id="L2031" class="blob-num js-line-number" data-line-number="2031"></td>
        <td id="LC2031" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L2032" class="blob-num js-line-number" data-line-number="2032"></td>
        <td id="LC2032" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>while</span> <span class=pl-en>len</span>(<span class=pl-s1>alphas</span>) <span class=pl-c1>&gt;</span> <span class=pl-c1>4</span>:</td>
      </tr>
      <tr>
        <td id="L2033" class="blob-num js-line-number" data-line-number="2033"></td>
        <td id="LC2033" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-en>quarter_selector</span>(<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>j</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L2034" class="blob-num js-line-number" data-line-number="2034"></td>
        <td id="LC2034" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>lhood</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>2</span>])</td>
      </tr>
      <tr>
        <td id="L2035" class="blob-num js-line-number" data-line-number="2035"></td>
        <td id="LC2035" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L2036" class="blob-num js-line-number" data-line-number="2036"></td>
        <td id="LC2036" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-s1>val</span>[<span class=pl-c1>3</span>]</td>
      </tr>
      <tr>
        <td id="L2037" class="blob-num js-line-number" data-line-number="2037"></td>
        <td id="LC2037" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>alphas</span><span class=pl-c1>=</span><span class=pl-s1>val</span>[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L2038" class="blob-num js-line-number" data-line-number="2038"></td>
        <td id="LC2038" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>alpha_list</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>4</span>])</td>
      </tr>
      <tr>
        <td id="L2039" class="blob-num js-line-number" data-line-number="2039"></td>
        <td id="LC2039" class="blob-code blob-code-inner js-file-line">            </td>
      </tr>
      <tr>
        <td id="L2040" class="blob-num js-line-number" data-line-number="2040"></td>
        <td id="LC2040" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>for</span> <span class=pl-s1>a</span> <span class=pl-c1>in</span> <span class=pl-s1>alphas</span>:</td>
      </tr>
      <tr>
        <td id="L2041" class="blob-num js-line-number" data-line-number="2041"></td>
        <td id="LC2041" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>val</span><span class=pl-c1>=</span><span class=pl-en>cv_loss</span>(<span class=pl-s1>a</span>,<span class=pl-s1>alphas</span>,<span class=pl-s1>n</span>,<span class=pl-s1>k</span>,<span class=pl-s1>j</span>,<span class=pl-s1>time_start</span>,<span class=pl-s1>total</span>,<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>trans_matrix</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>,<span class=pl-s1>jacobian</span>,<span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span>,<span class=pl-s1>tolerance</span>,<span class=pl-s1>max_iter</span>,<span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L2042" class="blob-num js-line-number" data-line-number="2042"></td>
        <td id="LC2042" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>lhood</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>1</span>])</td>
      </tr>
      <tr>
        <td id="L2043" class="blob-num js-line-number" data-line-number="2043"></td>
        <td id="LC2043" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>reconstructions</span>.<span class=pl-en>append</span>(<span class=pl-s1>val</span>[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L2044" class="blob-num js-line-number" data-line-number="2044"></td>
        <td id="LC2044" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>alpha_list</span>.<span class=pl-en>append</span>(<span class=pl-s1>a</span>)</td>
      </tr>
      <tr>
        <td id="L2045" class="blob-num js-line-number" data-line-number="2045"></td>
        <td id="LC2045" class="blob-code blob-code-inner js-file-line">            <span class=pl-s1>j</span><span class=pl-c1>=</span><span class=pl-s1>val</span>[<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L2046" class="blob-num js-line-number" data-line-number="2046"></td>
        <td id="LC2046" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>index</span><span class=pl-c1>=</span><span class=pl-s1>np</span>.<span class=pl-en>int</span>(<span class=pl-s1>np</span>.<span class=pl-en>where</span>(<span class=pl-s1>lhood</span><span class=pl-c1>==</span><span class=pl-s1>np</span>.<span class=pl-en>min</span>(<span class=pl-s1>lhood</span>))[<span class=pl-c1>0</span>])</td>
      </tr>
      <tr>
        <td id="L2047" class="blob-num js-line-number" data-line-number="2047"></td>
        <td id="LC2047" class="blob-code blob-code-inner js-file-line">        <span class=pl-en>updt_cv</span>(<span class=pl-s1>total</span>,<span class=pl-s1>total</span>,<span class=pl-s1>time_start</span>)</td>
      </tr>
      <tr>
        <td id="L2048" class="blob-num js-line-number" data-line-number="2048"></td>
        <td id="LC2048" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L2049" class="blob-num js-line-number" data-line-number="2049"></td>
        <td id="LC2049" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L2050" class="blob-num js-line-number" data-line-number="2050"></td>
        <td id="LC2050" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L2051" class="blob-num js-line-number" data-line-number="2051"></td>
        <td id="LC2051" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L2052" class="blob-num js-line-number" data-line-number="2052"></td>
        <td id="LC2052" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L2053" class="blob-num js-line-number" data-line-number="2053"></td>
        <td id="LC2053" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L2054" class="blob-num js-line-number" data-line-number="2054"></td>
        <td id="LC2054" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L2055" class="blob-num js-line-number" data-line-number="2055"></td>
        <td id="LC2055" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Number of CV iterations&quot;</span>: <span class=pl-s1>j</span></td>
      </tr>
      <tr>
        <td id="L2056" class="blob-num js-line-number" data-line-number="2056"></td>
        <td id="LC2056" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L2057" class="blob-num js-line-number" data-line-number="2057"></td>
        <td id="LC2057" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>reconstructions</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alpha_list</span>[<span class=pl-s1>index</span>],<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;CV&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L2058" class="blob-num js-line-number" data-line-number="2058"></td>
        <td id="LC2058" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L2059" class="blob-num js-line-number" data-line-number="2059"></td>
        <td id="LC2059" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L2060" class="blob-num js-line-number" data-line-number="2060"></td>
        <td id="LC2060" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>result</span> <span class=pl-c1>=</span> <span class=pl-s1>scop</span>.<span class=pl-en>minimize</span>(<span class=pl-s1>functional</span>,<span class=pl-s1>initial_guess</span>,<span class=pl-s1>args</span><span class=pl-c1>=</span>(<span class=pl-s1>alpha</span>,<span class=pl-s1>n</span>,<span class=pl-s1>trans_matrix_long</span>,<span class=pl-s1>step_size</span>),<span class=pl-s1>method</span><span class=pl-c1>=</span><span class=pl-s>&#39;trust-constr&#39;</span>,<span class=pl-s1>jac</span><span class=pl-c1>=</span><span class=pl-s1>jacobian</span>,<span class=pl-s1>hess</span><span class=pl-c1>=</span><span class=pl-s1>hessian_method</span>,<span class=pl-s1>constraints</span><span class=pl-c1>=</span>[<span class=pl-s1>constraints</span>],<span class=pl-s1>tol</span><span class=pl-c1>=</span><span class=pl-s1>tolerance</span>,<span class=pl-s1>options</span><span class=pl-c1>=</span>{<span class=pl-s>&#39;verbose&#39;</span>: <span class=pl-c1>0</span>,<span class=pl-s>&#39;maxiter&#39;</span>: <span class=pl-s1>max_iter</span>},<span class=pl-s1>bounds</span><span class=pl-c1>=</span><span class=pl-s1>bound</span>)</td>
      </tr>
      <tr>
        <td id="L2061" class="blob-num js-line-number" data-line-number="2061"></td>
        <td id="LC2061" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>et</span> <span class=pl-c1>=</span> <span class=pl-s1>time</span>.<span class=pl-en>time</span>()</td>
      </tr>
      <tr>
        <td id="L2062" class="blob-num js-line-number" data-line-number="2062"></td>
        <td id="LC2062" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>details</span> <span class=pl-c1>=</span> {</td>
      </tr>
      <tr>
        <td id="L2063" class="blob-num js-line-number" data-line-number="2063"></td>
        <td id="LC2063" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Regularization Functional&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>functional</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L2064" class="blob-num js-line-number" data-line-number="2064"></td>
        <td id="LC2064" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Jacobian&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>jacobian</span>.<span class=pl-s1>__name__</span>),</td>
      </tr>
      <tr>
        <td id="L2065" class="blob-num js-line-number" data-line-number="2065"></td>
        <td id="LC2065" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Numer of Grid Points&quot;</span>: <span class=pl-s1>m</span>,</td>
      </tr>
      <tr>
        <td id="L2066" class="blob-num js-line-number" data-line-number="2066"></td>
        <td id="LC2066" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Sample Size&quot;</span>: <span class=pl-s1>n</span>,</td>
      </tr>
      <tr>
        <td id="L2067" class="blob-num js-line-number" data-line-number="2067"></td>
        <td id="LC2067" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Total Run Time&quot;</span>: <span class=pl-en>str</span>(<span class=pl-s1>et</span><span class=pl-c1>-</span><span class=pl-s1>st</span>) <span class=pl-c1>+</span> <span class=pl-s>&#39; seconds&#39;</span>,</td>
      </tr>
      <tr>
        <td id="L2068" class="blob-num js-line-number" data-line-number="2068"></td>
        <td id="LC2068" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Iterations&quot;</span>: <span class=pl-s1>result</span>.<span class=pl-s1>niter</span>,</td>
      </tr>
      <tr>
        <td id="L2069" class="blob-num js-line-number" data-line-number="2069"></td>
        <td id="LC2069" class="blob-code blob-code-inner js-file-line">            <span class=pl-s>&quot;Optimization Run Time&quot;</span>: <span class=pl-s1>result</span>.<span class=pl-s1>execution_time</span></td>
      </tr>
      <tr>
        <td id="L2070" class="blob-num js-line-number" data-line-number="2070"></td>
        <td id="LC2070" class="blob-code blob-code-inner js-file-line">        }</td>
      </tr>
      <tr>
        <td id="L2071" class="blob-num js-line-number" data-line-number="2071"></td>
        <td id="LC2071" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-v>RMLEResult</span>(<span class=pl-s1>f</span><span class=pl-c1>=</span><span class=pl-s1>result</span>.<span class=pl-s1>x</span>,<span class=pl-s1>alpha</span><span class=pl-c1>=</span><span class=pl-s1>alpha</span>,<span class=pl-s1>alpmth</span><span class=pl-c1>=</span><span class=pl-s>&#39;User&#39;</span>,<span class=pl-v>T</span><span class=pl-c1>=</span><span class=pl-s1>tmat</span>,<span class=pl-s1>details</span><span class=pl-c1>=</span><span class=pl-s1>details</span>)</td>
      </tr>
      <tr>
        <td id="L2072" class="blob-num js-line-number" data-line-number="2072"></td>
        <td id="LC2072" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L2073" class="blob-num js-line-number" data-line-number="2073"></td>
        <td id="LC2073" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>scale_sample</span>(<span class=pl-s1>xy_sample</span>,<span class=pl-s1>grid</span>):</td>
      </tr>
      <tr>
        <td id="L2074" class="blob-num js-line-number" data-line-number="2074"></td>
        <td id="LC2074" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is used to apply the shifts and scaling to the sample. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L2075" class="blob-num js-line-number" data-line-number="2075"></td>
        <td id="LC2075" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>sample</span> <span class=pl-c1>=</span> <span class=pl-s1>xy_sample</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L2076" class="blob-num js-line-number" data-line-number="2076"></td>
        <td id="LC2076" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L2077" class="blob-num js-line-number" data-line-number="2077"></td>
        <td id="LC2077" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>if</span> <span class=pl-s1>grid</span>.<span class=pl-s1>dim</span> <span class=pl-c1>==</span> <span class=pl-c1>2</span>:</td>
      </tr>
      <tr>
        <td id="L2078" class="blob-num js-line-number" data-line-number="2078"></td>
        <td id="LC2078" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>2</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>2</span>] <span class=pl-c1>+</span> <span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>]<span class=pl-c1>*</span><span class=pl-s1>sample</span>[:,<span class=pl-c1>0</span>] <span class=pl-c1>+</span> <span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>]<span class=pl-c1>*</span><span class=pl-s1>sample</span>[:,<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L2079" class="blob-num js-line-number" data-line-number="2079"></td>
        <td id="LC2079" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>0</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L2080" class="blob-num js-line-number" data-line-number="2080"></td>
        <td id="LC2080" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>1</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b1</span> </td>
      </tr>
      <tr>
        <td id="L2081" class="blob-num js-line-number" data-line-number="2081"></td>
        <td id="LC2081" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>sample</span></td>
      </tr>
      <tr>
        <td id="L2082" class="blob-num js-line-number" data-line-number="2082"></td>
        <td id="LC2082" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L2083" class="blob-num js-line-number" data-line-number="2083"></td>
        <td id="LC2083" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>else</span>:</td>
      </tr>
      <tr>
        <td id="L2084" class="blob-num js-line-number" data-line-number="2084"></td>
        <td id="LC2084" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>3</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>3</span>] <span class=pl-c1>+</span> <span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>0</span>]<span class=pl-c1>*</span><span class=pl-s1>sample</span>[:,<span class=pl-c1>0</span>] <span class=pl-c1>+</span> <span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>1</span>]<span class=pl-c1>*</span><span class=pl-s1>sample</span>[:,<span class=pl-c1>1</span>] <span class=pl-c1>+</span> <span class=pl-s1>grid</span>.<span class=pl-s1>shifts</span>[<span class=pl-c1>2</span>]<span class=pl-c1>*</span><span class=pl-s1>sample</span>[:,<span class=pl-c1>2</span>]</td>
      </tr>
      <tr>
        <td id="L2085" class="blob-num js-line-number" data-line-number="2085"></td>
        <td id="LC2085" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>0</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>0</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b0</span></td>
      </tr>
      <tr>
        <td id="L2086" class="blob-num js-line-number" data-line-number="2086"></td>
        <td id="LC2086" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>1</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>1</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b1</span></td>
      </tr>
      <tr>
        <td id="L2087" class="blob-num js-line-number" data-line-number="2087"></td>
        <td id="LC2087" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>sample</span>[:,<span class=pl-c1>2</span>] <span class=pl-c1>=</span> <span class=pl-s1>sample</span>[:,<span class=pl-c1>2</span>]<span class=pl-c1>/</span><span class=pl-s1>grid</span>.<span class=pl-s1>b2</span></td>
      </tr>
      <tr>
        <td id="L2088" class="blob-num js-line-number" data-line-number="2088"></td>
        <td id="LC2088" class="blob-code blob-code-inner js-file-line">        <span class=pl-k>return</span> <span class=pl-s1>sample</span></td>
      </tr>
      <tr>
        <td id="L2089" class="blob-num js-line-number" data-line-number="2089"></td>
        <td id="LC2089" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L2090" class="blob-num js-line-number" data-line-number="2090"></td>
        <td id="LC2090" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-s1>shft_sample_obj</span>:</td>
      </tr>
      <tr>
        <td id="L2091" class="blob-num js-line-number" data-line-number="2091"></td>
        <td id="LC2091" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Class used to store the sample and the shifts applied to it Output of the function shift_sample.&quot;&quot;&quot;</span> </td>
      </tr>
      <tr>
        <td id="L2092" class="blob-num js-line-number" data-line-number="2092"></td>
        <td id="LC2092" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>,<span class=pl-s1>sample</span>,<span class=pl-s1>shifts</span>):</td>
      </tr>
      <tr>
        <td id="L2093" class="blob-num js-line-number" data-line-number="2093"></td>
        <td id="LC2093" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>sample</span> <span class=pl-c1>=</span> <span class=pl-s1>sample</span></td>
      </tr>
      <tr>
        <td id="L2094" class="blob-num js-line-number" data-line-number="2094"></td>
        <td id="LC2094" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>shifts</span> <span class=pl-c1>=</span> <span class=pl-s1>shifts</span></td>
      </tr>
      <tr>
        <td id="L2095" class="blob-num js-line-number" data-line-number="2095"></td>
        <td id="LC2095" class="blob-code blob-code-inner js-file-line">
</td>
      </tr>
      <tr>
        <td id="L2096" class="blob-num js-line-number" data-line-number="2096"></td>
        <td id="LC2096" class="blob-code blob-code-inner js-file-line"><span class=pl-k>class</span> <span class=pl-s1>sample_obj</span>:</td>
      </tr>
      <tr>
        <td id="L2097" class="blob-num js-line-number" data-line-number="2097"></td>
        <td id="LC2097" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; Class used to store the sample and the scaled sample.&quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L2098" class="blob-num js-line-number" data-line-number="2098"></td>
        <td id="LC2098" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>def</span> <span class=pl-en>__init__</span>(<span class=pl-s1>self</span>,<span class=pl-s1>scaled_sample</span>,<span class=pl-s1>sample</span>):</td>
      </tr>
      <tr>
        <td id="L2099" class="blob-num js-line-number" data-line-number="2099"></td>
        <td id="LC2099" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>scaled_sample</span> <span class=pl-c1>=</span> <span class=pl-s1>scaled_sample</span></td>
      </tr>
      <tr>
        <td id="L2100" class="blob-num js-line-number" data-line-number="2100"></td>
        <td id="LC2100" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>self</span>.<span class=pl-s1>sample</span> <span class=pl-c1>=</span> <span class=pl-s1>sample</span></td>
      </tr>
      <tr>
        <td id="L2101" class="blob-num js-line-number" data-line-number="2101"></td>
        <td id="LC2101" class="blob-code blob-code-inner js-file-line">        </td>
      </tr>
      <tr>
        <td id="L2102" class="blob-num js-line-number" data-line-number="2102"></td>
        <td id="LC2102" class="blob-code blob-code-inner js-file-line"><span class=pl-k>def</span> <span class=pl-en>shift_sample</span>(<span class=pl-s1>sample</span>,<span class=pl-s1>base_shifts</span>):</td>
      </tr>
      <tr>
        <td id="L2103" class="blob-num js-line-number" data-line-number="2103"></td>
        <td id="LC2103" class="blob-code blob-code-inner js-file-line">    <span class=pl-s>&quot;&quot;&quot; This function is used to apply shifts to the sample. &quot;&quot;&quot;</span></td>
      </tr>
      <tr>
        <td id="L2104" class="blob-num js-line-number" data-line-number="2104"></td>
        <td id="LC2104" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>shift_sample_obs</span> <span class=pl-c1>=</span> <span class=pl-s1>sample</span>.<span class=pl-en>copy</span>()</td>
      </tr>
      <tr>
        <td id="L2105" class="blob-num js-line-number" data-line-number="2105"></td>
        <td id="LC2105" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>n</span> <span class=pl-c1>=</span> <span class=pl-s1>np</span>.<span class=pl-en>shape</span>(<span class=pl-s1>shift_sample_obs</span>)[<span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L2106" class="blob-num js-line-number" data-line-number="2106"></td>
        <td id="LC2106" class="blob-code blob-code-inner js-file-line">    <span class=pl-s1>shifts</span> <span class=pl-c1>=</span> [<span class=pl-s1>np</span>.<span class=pl-s1>random</span>.<span class=pl-en>uniform</span>(<span class=pl-c1>1</span>,<span class=pl-c1>2.5</span>) <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span><span class=pl-c1>-</span><span class=pl-c1>1</span>)] <span class=pl-c1>+</span> <span class=pl-s1>np</span>.<span class=pl-en>array</span>(<span class=pl-s1>base_shifts</span>)</td>
      </tr>
      <tr>
        <td id="L2107" class="blob-num js-line-number" data-line-number="2107"></td>
        <td id="LC2107" class="blob-code blob-code-inner js-file-line">    </td>
      </tr>
      <tr>
        <td id="L2108" class="blob-num js-line-number" data-line-number="2108"></td>
        <td id="LC2108" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>for</span> <span class=pl-s1>i</span> <span class=pl-c1>in</span> <span class=pl-en>range</span>(<span class=pl-c1>0</span>,<span class=pl-s1>n</span><span class=pl-c1>-</span><span class=pl-c1>1</span>):</td>
      </tr>
      <tr>
        <td id="L2109" class="blob-num js-line-number" data-line-number="2109"></td>
        <td id="LC2109" class="blob-code blob-code-inner js-file-line">        <span class=pl-s1>shift_sample_obs</span>[:,<span class=pl-s1>n</span><span class=pl-c1>-</span><span class=pl-c1>1</span>]<span class=pl-c1>=</span><span class=pl-s1>shifts</span>[<span class=pl-s1>i</span>]<span class=pl-c1>*</span><span class=pl-s1>shift_sample_obs</span>[:,<span class=pl-s1>i</span>]<span class=pl-c1>+</span><span class=pl-s1>shift_sample_obs</span>[:,<span class=pl-s1>n</span><span class=pl-c1>-</span><span class=pl-c1>1</span>]</td>
      </tr>
      <tr>
        <td id="L2110" class="blob-num js-line-number" data-line-number="2110"></td>
        <td id="LC2110" class="blob-code blob-code-inner js-file-line">    <span class=pl-k>return</span> <span class=pl-en>shft_sample_obj</span>(<span class=pl-s1>shift_sample_obs</span>,<span class=pl-s1>shifts</span>)</td>
      </tr>
</table>

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