Breadcrumb doesn't work with custom post types

Custom post types doesn’t work with breadcrumb.

I have the follow breadcrumb and for my custom post type (portfolio) to works I need to comment out this code.

// Breadcrumb
function breadcrumbs() {

  $delimiter = '?';
  $name = 'Home'; //text for the 'Home' link
  $currentBefore = '<span class="current">';
  $currentAfter = '</span>';

  if ( !is_home() && !is_front_page() || is_paged() ) {

    //echo '<div 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 . 'Archive by category '';
      single_cat_title();
      echo ''' . $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_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 . 'Search results for '' . get_search_query() . ''' . $currentAfter;

    } elseif ( is_tag() ) {
      echo $currentBefore . 'Posts tagged '';
      single_tag_title();
      echo ''' . $currentAfter;

    } elseif ( is_author() ) {
       global $author;
      $userdata = get_userdata($author);
      echo $currentBefore . 'Articles posted by ' . $userdata->display_name . $currentAfter;

    } elseif ( is_404() ) {
      echo $currentBefore . 'Error 404' . $currentAfter;
    }

    if ( get_query_var('paged') ) {
      if ( is_category() || is_day() || is_month() || is_year() || is_search() || is_tag() || is_author() ) echo ' (';
      echo __('Page') . ' ' . get_query_var('paged');
      if ( is_category() || is_day() || is_month() || is_year() || is_search() || is_tag() || is_author() ) echo ')';
    }

    //echo '</div>';

  }
}

I really need to use breadcrumb in my custom post. Any idea?