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<?php
function custom_do_settings_sections($page) {
    global $wp_settings_sections, $wp_settings_fields;

    if ( !isset($wp_settings_sections) || !isset($wp_settings_sections[$page]) )
        return;

    foreach( (array) $wp_settings_sections[$page] as $section ) {
        echo "<h3>{$section['title']}</h3>\n";
        call_user_func($section['callback'], $section);
        if ( !isset($wp_settings_fields) ||
             !isset($wp_settings_fields[$page]) ||
             !isset($wp_settings_fields[$page][$section['id']]) )
                continue;
        echo '<div class="settings-form-wrapper">';
        custom_do_settings_fields($page, $section['id']);
        echo '</div>';
    }
}

function custom_do_settings_fields($page, $section) {
    global $wp_settings_fields;

    if ( !isset($wp_settings_fields) ||
         !isset($wp_settings_fields[$page]) ||
         !isset($wp_settings_fields[$page][$section]) )
        return;

    foreach ( (array) $wp_settings_fields[$page][$section] as $field ) {
        echo '<div class="settings-form-row">';
        if ( !empty($field['args']['label_for']) )
            echo '<p><label for="' . $field['args']['label_for'] . '">' .
                $field['title'] . '</label><br />';
        else
            echo '<p>' . $field['title'] . '<br />';
        call_user_func($field['callback'], $field['args']);
        echo '</p></div>';
    }
}