Fix breadcrumb code to work with custom post types

For a long time I have been using the following code to produce breadcrumbs in my theme. I use it because I do not like being dependent on plugins for basic functions.

// Breadcrumbs
  function limelight_breadcrumbs()
  {
      $delimiter = ' > ';
      //text for the 'Home' link
      $name = __("Home", "limelight");
      $currentBefore = ' <span class="current">';
      $currentAfter = '</span> ';
      if (!is_home() && !is_front_page() || is_paged()) {
          echo '<nav id="breadcrumbs">';
          global $post;
          $home = get_bloginfo('url');
          echo '<a href="' . $home . '">' . $name . '</a> ' . $delimiter . '';
	  if (is_category()) {
              global $wp_query;
              $cat_obj = $wp_query->get_queried_object();
              $thisCat = $cat_obj->term_id;
              $thisCat = get_category($thisCat);
              $parentCat = get_category($thisCat->parent);
              if ($thisCat->parent != 0)
                  echo(get_category_parents($parentCat, true, '' . $delimiter . ''));
              echo $currentBefore . single_cat_title() . $currentAfter;
          } elseif (is_day()) {
              echo '<a href="' . get_year_link(get_the_time('Y')) . '">' . get_the_time('Y') . '</a> ' . $delimiter . '';
              echo '<a href="' . get_month_link(get_the_time('Y'), get_the_time('m')) . '">' . get_the_time('F') . '</a> ' . $delimiter . ' ';
              echo $currentBefore . get_the_time('d') . $currentAfter;
          } elseif (is_month()) {
              echo '<a href="' . get_year_link(get_the_time('Y')) . '">' . get_the_time('Y') . '</a> ' . $delimiter . '';
              echo $currentBefore . get_the_time('F') . $currentAfter;
          } elseif (is_year()) {
              echo $currentBefore . get_the_time('Y') . $currentAfter;
          } elseif (is_attachment()) {
              echo $currentBefore;
              the_title();
              $currentAfter;
          } elseif (get_post_type()) {
              $term = get_term_by( 'slug', get_query_var( 'term' ), get_query_var( 'taxonomy' ) );
        echo  $currentBefore . $term->name . $currentAfter;

          } elseif (is_single()) {
              $cat = get_the_category();
              $cat = $cat[0];
              echo get_category_parents($cat, true, ' ' . $delimiter . '');
              echo $currentBefore;
              the_title();
              echo $currentAfter;
          } elseif (is_page() && !$post->post_parent) {
              echo $currentBefore;
              the_title();
              echo $currentAfter;
          } elseif (is_page() && $post->post_parent) {
              $parent_id = $post->post_parent;
              $breadcrumbs = array();
              while ($parent_id) {
                  $page = get_page($parent_id);
                  $breadcrumbs[] = '<a href="' . get_permalink($page->ID) . '">' . get_the_title($page->ID) . '</a>';
                  $parent_id = $page->post_parent;
              }
              $breadcrumbs = array_reverse($breadcrumbs);
              foreach ($breadcrumbs as $crumb)
                  echo $crumb . ' ' . $delimiter . ' ';
              echo $currentBefore;
              the_title();
              echo $currentAfter;
          } elseif (is_search()) {
              echo $currentBefore . get_search_query() . $currentAfter;
          } elseif (is_tag()) {
              echo $currentBefore . single_tag_title() . $currentAfter;
          } elseif (is_author()) {
              global $author;
              $userdata = get_userdata($author);
              echo $currentBefore . $userdata->display_name . $currentAfter;
          } elseif (is_404()) {
              echo $currentBefore . '404 Not Found' . $currentAfter;
          }
          if (get_query_var('paged')) {
              if (is_home() || is_category() || is_day() || is_month() || is_year() || is_search() || is_tag() || is_author())
                  echo  $currentBefore;
              echo __('Page','limelight') . ' ' . get_query_var('paged');
              if (is_home() || is_category() || is_day() || is_month() || is_year() || is_search() || is_tag() || is_author())
                  echo $currentAfter;
          }
          echo '</nav>';
      }
  }

However I now have need for custom post types, and this function can’t cope with them. I have searched high and low, and nowhere can I find a complete answer as to how to fix this code to work with custom post types. Most replies are non helpful “use such and such plugin” variety.

I have dug through a few breadcrumb plugins that do work with custom post types in hopes of discovering how to apply it to my own code, but to no avail.

I would be greatly appreciative if someone modified my above code to work with custom post types. I know it must be fairly simple, but with my very rudimentary knowledge of PHP I just can’t figure it out.