Configurer un formulaire de connexion WordPress sans mot de passe

<form autocomplete="off" method="post">
<div class="form-group">
<input id="userlog" name="userlog" type="text" placeholder="<?php echo esc_attr__(&#39;Username/email&#39;, &#39;theme-domain&#39;); ?>" class="form-control" required="required">
</div>
<input type="hidden" name="action" value="my_login_action" />
<button type="submit"><?php echo esc_html__(&#39;Login&#39;, &#39;theme-domain&#39;); ?></button>  
</form>

add_action('init', function(){
// Return if not the login request
if( !isset( $_POST['action'] ) || $_POST['action'] !== 'my_login_action' )
return;
$result;
$username = $_POST['userlog'];
if ( ! $result ) {
$result = get_user_by( 'email', $username ); // user email
}
if ( ! $result ) {
$result = get_user_by('login', $username ); // user name
}
 
if ( !is_wp_error($result) ){
wp_clear_auth_cookie();
wp_set_current_user($result->ID);
wp_set_auth_cookie($result->ID);
wp_redirect( home_url( '/' ) );
exit;
}
die();
});