Combining WordPress pagination functions for archives and search results

I am currently modernising an old WordPress theme (a standalone theme, not a child of any official themes). Trying to build pagination I am finding some issues creating one function that works for both archives and search. The first snippet works fine with archives (categories, loops, etc):

function pagination_bar() {
    global $wp_query;

    $total_pages = $wp_query->max_num_pages;

    if ($total_pages > 1){
        $current_page = max(1, get_query_var('paged'));

        echo paginate_links(array(
            'base'      => get_pagenum_link(1) . '%_%',
            'format'    => 'page/%#%',
            'current'   => $current_page,
            'total'     => $total_pages,
            'prev_text' => __('« Previous page'),
            'next_text' => __('Next page »'),
        ));
    }
}

The problem is that if I use in search results pages the links end up being domain.com/?s=QUERYpage/2 (whilst it should be domain.com/page/2/?s=query)

So I created a custom function just for pagination in search:

function pagination_bar_search() {
    global $wp_query;

    $total_pages = $wp_query->max_num_pages;

    if ($total_pages > 1){
        $current_page = max(1, get_query_var('paged'));

        echo paginate_links(array(
            'base'      => get_home_url() . '%_%',
            'format'    => '/page/%#%/',
            'current'   => $current_page,
            'total'     => $total_pages,
            'prev_text' => __('« Previous page'),
            'next_text' => __('Next page »'),
        ));
    }
}

Both work correctly, but do you have any ideas for how I can combine the 2 functions and make one that works correctly for both archives and search?

I’m on the latest WordPress (5.2.3).

This is the search.php loop function:

<?php
$paged = (get_query_var('paged')) ? get_query_var('paged') : 1;
if ($wp_query->max_num_pages > 1)
echo 'Page ' . $paged.' of '.$wp_query->max_num_pages; 
?>

...

<?php if (have_posts()) : while (have_posts()) : the_post(); ?>

...

<?php endwhile; ?>

<?php pagination_bar_search(); ?>