plugin widget category list with posts

<?php
/**
Plugin Name: Category List with Posts Widget
Plugin URI:
Description: Category List with Posts and Widget Options
Author: alchymyth
Version: 1.a 09/2010
Author URI: http://www.transformationpowertools.com
*/

/* Add our function to the widgets_init hook. */
add_action( 'widgets_init', 'cat_posts_list_load_widgets' );

/* Function that registers our widget. */
function cat_posts_list_load_widgets() {    register_widget( 'cat_posts_list_Widget' ); }


class cat_posts_list_Widget extends WP_Widget {
function cat_posts_list_Widget() {
        /* Widget settings. */
        $widget_ops = array( 'classname' => 'widget_categories cat_posts_list', 'description' => 'Category List with a Number of Posts and Widget Options.' );

        /* Widget control settings. */
        $control_ops = array( 'width' => 250, 'height' => 350, 'id_base' => 'cat_posts_list-widget' );

        /* Create the widget. */
        $this->WP_Widget( 'cat_posts_list-widget', 'Category Posts List', $widget_ops, $control_ops );
    }

    function widget( $args, $instance ) {
        extract( $args );

        /* User-selected settings. */
        $title = apply_filters('widget_title', $instance['title'] );

        $shownumbers = isset( $instance['shownumbers'] ) ? $instance['shownumbers'] : true;

        $numberposts = empty( $instance['numberposts'] ) ? '' : $instance['numberposts'];

        /* Before widget (defined by themes). */
        echo $before_widget;

        /* Title of widget (before and after defined by themes). */
        if ( $title )
            echo $before_title . $title . $after_title;

/* the actual function. */

echo '<ul>';
// get all site categories;
$categories = get_categories();
foreach($categories as $category) {
echo '<li><a href="' . get_category_link($category->term_id) . '">' . $category->name . '</a>';
if($shownumbers) echo ' (' . $category->category_count . ')'; //show category count
echo '<ul>';
// get set number of posts per category;
$posts = get_posts('category_name='.$category->name.'&numberposts='.$numberposts);
  if($posts) :
    foreach($posts as $post) {
    setup_postdata($post);
    echo '<li>';
    echo '<a href="' . get_permalink($post->ID) . '" title="link to ' . get_the_title($post->ID) . '">' . get_the_title($post->ID) . '</a>';
    echo '</li>';
    }
  endif;

echo '</ul></li>';
} //end 'foreach($categories as $category)'
echo '</ul>';

wp_reset_query();

/* end of the actual function */

        /* After widget (defined by themes). */
        echo $after_widget;
    }

function update( $new_instance, $old_instance ) {
        $instance = $old_instance;

        /* Strip tags (if needed) and update the widget settings. */
        $instance['title'] = strip_tags( $new_instance['title'] );

        $instance['shownumbers'] = $new_instance['shownumbers'] ? 1 : 0;

        $instance['numberposts'] = strip_tags( $new_instance['numberposts'] );

        return $instance;
    }

function form( $instance ) {

        //Defaults
        $instance = wp_parse_args( (array) $instance, array( 'shownumbers' => false, 'title' => '', 'numberposts' => '5') );
        $title = esc_attr( $instance['title'] );
        $numberposts = esc_attr( $instance['numberposts'] );
    ?>

<p>
            <label for="<?php echo $this->get_field_id( 'title' ); ?>">Title:</label>
            <input id="<?php echo $this->get_field_id( 'title' ); ?>" name="<?php echo $this->get_field_name( 'title' ); ?>" value="<?php echo $instance['title']; ?>" class="widefat" />
        </p>


    <p>
            <label for="<?php echo $this->get_field_id('numberposts'); ?>"><?php _e( 'Max Posts per Category:' ); ?></label> <input type="text" value="<?php echo $numberposts; ?>" name="<?php echo $this->get_field_name('numberposts'); ?>" id="<?php echo $this->get_field_id('numberposts'); ?>" class="widefat" />
            <br />

        </p>
        <p>
            <input class="checkbox" type="checkbox" <?php checked( $instance['shownumbers'], true ); ?> id="<?php echo $this->get_field_id( 'shownumbers' ); ?>" name="<?php echo $this->get_field_name( 'shownumbers' ); ?>" />
            <label for="<?php echo $this->get_field_id( 'shownumbers' ); ?>">Show Post Count for Category?</label>
        </p>

        <?php
    }
}
?>