[AngularJS] $signInWithEmailAndPassword, comment l'utiliser ?

Bonjour,

Voila je rencontre un petit problème avec mon code au niveau du .$signInWithEmailAndPassword.
angular.js:13920 TypeError: Cannot read property '$signInWithEmailAndPassword' of undefined
En Plan B j'ai le script sur https://plnkr.co/edit/LDaSAuiV3Kc2KJk5eT7j?p=preview ... Mais bon... ça ne reprend pas toutes mes données.

Comment changer de type dans cette fonction ?

Merci,

Cordialement,

(function() {

    'use strict';

    angular
        .module('statusApp')
        .controller('AuthController', AuthController);

    function AuthController(Auth, User, $state) {

        var vm = this;

        vm.createUser = createUser;
        vm.login = login;

        function createUser() {

            // If there is already a user logged in,
            // log them out before proceeding
            Auth.$unauth();

            Auth.$createUser({
                email: vm.email,
                password: vm.password
            }).then(function(userData) {
                saveUser(userData);
                login()
            }).catch(function(error) {
                vm.error = error;
            });
        }

        function saveUser(userData) {

            var user = User.newUserRef(userData);
            user.username = vm.username;
            user.email = vm.email;

            user.$save().then(function(success) {
                vm.username = null;
                vm.email = null;
                vm.password = null;

                $state.go('status');
            }, function(error) {
                console.log("there was an error! " + error);
            });
        }

        function login() {

            vm.Auth.$signInWithEmailAndPassword({

                email: vm.email,
                password: vm.password
            }).then(function() {
                vm.email = null;
                vm.password = null;
                $state.go('status');
            }).catch(function(error) {
                console.log(error);
            });
        }
    }

})();