wp_update_comment

	/**
	 * Filters whether to send the post author new comment notification emails,
	 * overriding the site setting.
	 *
	 * @since 4.4.0
	 *
	 * @param bool $maybe_notify Whether to notify the post author about the new comment.
	 * @param int  $comment_ID   The ID of the comment for the notification.
	 */
	$maybe_notify = apply_filters( 'notify_post_author', $maybe_notify, $comment_ID );

	/*
	 * wp_notify_postauthor() checks if notifying the author of their own comment.
	 * By default, it won't, but filters can override this.
	 */
	if ( ! $maybe_notify ) {
		return false;
	}

	// Only send notifications for approved comments.
	if ( ! isset( $comment->comment_approved ) || '1' != $comment->comment_approved ) {
		return false;
	}

	return wp_notify_postauthor( $comment_ID );
}

/**
 * Sets the status of a comment.
 *
 * The {@see 'wp_set_comment_status'} action is called after the comment is handled.
 * If the comment status is not in the list, then false is returned.
 *
 * @since 1.0.0
 *
 * @global wpdb $wpdb WordPress database abstraction object.
 *
 * @param int|WP_Comment $comment_id     Comment ID or WP_Comment object.
 * @param string         $comment_status New comment status, either 'hold', 'approve', 'spam', or 'trash'.
 * @param bool           $wp_error       Whether to return a WP_Error object if there is a failure. Default false.
 * @return bool|WP_Error True on success, false or WP_Error on failure.
 */
function wp_set_comment_status( $comment_id, $comment_status, $wp_error = false ) {
	global $wpdb;

	switch ( $comment_status ) {
		case 'hold':
		case '0':
			$status = '0';
			break;
		case 'approve':
		case '1':
			$status = '1';
			add_action( 'wp_set_comment_status', 'wp_new_comment_notify_postauthor' );
			break;
		case 'spam':
			$status = 'spam';
			break;
		case 'trash':
			$status = 'trash';
			break;
		default:
			return false;
	}

	$comment_old = clone get_comment( $comment_id );

	if ( ! $wpdb->update( $wpdb->comments, array( 'comment_approved' => $status ), array( 'comment_ID' => $comment_old->comment_ID ) ) ) {
		if ( $wp_error ) {
			return new WP_Error( 'db_update_error', __( 'Could not update comment status.' ), $wpdb->last_error );
		} else {
			return false;
		}
	}

	clean_comment_cache( $comment_old->comment_ID );

	$comment = get_comment( $comment_old->comment_ID );

	/**
	 * Fires immediately before transitioning a comment's status from one to another
	 * in the database.
	 *
	 * @since 1.5.0
	 *
	 * @param int         $comment_id     Comment ID.
	 * @param string|bool $comment_status Current comment status. Possible values include
	 *                                    'hold', 'approve', 'spam', 'trash', or false.
	 */
	do_action( 'wp_set_comment_status', $comment->comment_ID, $comment_status );

	wp_transition_comment_status( $comment_status, $comment_old->comment_approved, $comment );