Slider - Why my prev button doesn't work?

Question

All is in the title! The whole things work excepted a bug on the prev btn... If you've got any solutions, feel free to reply!

Thank you all.

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$(function() {
var     timer;
function autoplay() { 
    $('.slideshow > li:gt(0)').hide();
    timer = setInterval(function() { 
         $('.slideshow > :first-child').fadeOut(500).next().fadeIn().end().appendTo('.slideshow');
    }, 5000);
}
autoplay();
$('#prev, #next').click(function() {
    switch (this.id) {
        case 'prev': {
            clearInterval(timer); autoplay();
            $('.slideshow > :last-child').fadeOut(500).prev().fadeIn().end().appendTo('.slideshow');
        }
            break;
        case 'next': {
            clearInterval(timer); autoplay();
            $('.slideshow > :first-child').fadeOut(500).next().fadeIn().end().appendTo('.slideshow');
        }
            break;
    }
 });
});

Answer 1

Finaly find the solution ! Works perfectly

Code :

$(function() {
var     timer;
function autoplay() { 
    timer = setInterval(function() {
        $('.slideshow > :first-child').fadeOut().next().fadeIn().end().appendTo('.slideshow');
    }, 5000);
}
autoplay();
$('#prev, #next').click(function() {
    switch (this.id) {
        case 'prev':
            clearInterval(timer); autoplay(); 
            $('.slideshow > :first-child').fadeOut();
            $('.slideshow > :last-child').fadeIn().prependTo('.slideshow');
            break;
        case 'next':
            clearInterval(timer); autoplay();
            $('.slideshow > :first-child').fadeOut().next().fadeIn().end().appendTo('.slideshow');
            break;
    }});});

Thank you for support.