The user authentication by firestore

hi
I use firestore to user’s sign up, the user should add his or her name, email , password, and picture.
I want a check if the user sign up or log in to make his or her name appear in the side menu

how can I do that by using firestore , i know we can use firestore.auth().curretunuser or something like this

anyone can help me, please
or there is any idea to do that

this app.ts

export class MyApp {
  @ViewChild(Nav) nav: Nav;
  
  rootPage: any = HomePage;

  pages: Array<{title: string, component: any}>;
  username;
  constructor(public platform: Platform, 

    public statusBar: StatusBar, public splashScreen: SplashScreen) {
    this.initializeApp();

    // used for an example of ngFor and navigation
    this.pages = [
      { title: 'home', component: HomePage },
      { title: 'list', component: ListPage },
      { title: 'login', component: LoginComponent },
     { title: 'my', component: MypagePage }

    ];

  }

  initializeApp() {
    this.platform.ready().then(() => {
      // Okay, so the platform is ready and our plugins are available.
      // Here you can do any higher level native things you might need.
      this.statusBar.styleDefault();
      this.splashScreen.hide();
    });
  }

  openPage(page) {
    // Reset the content nav to have just this page
    // we wouldn't want the back button to show in this scenario
    this.nav.setRoot(page.component);
  }

}

this app.html

<ion-menu [content]="content" side="right">
  <ion-header>
    <ion-toolbar>
      <ion-title text-right>menu</ion-title>
    </ion-toolbar>
  </ion-header>

  <ion-content>

      <div class="profile" slide-element="2">
         <!--  <link href="//code.ionicframework.com/nightly/css/ionic.css" rel="stylesheet"> -->

          <i class="ion-android-person"></i> 
        </div>
        

    <ion-list >
      <button menuClose ion-item *ngFor="let p of pages" (click)="openPage(p)" text-right>
        {{p.title}}
      </button>
    </ion-list>
  </ion-content>

</ion-menu>

<!-- Disable swipe-to-go-back because it's poor UX to combine STGB with side menus -->
<ion-nav [root]="rootPage" #content swipeBackEnabled="false"></ion-nav>

this sign up .html

<ion-header >
  <ion-navbar>
    <button ion-button menuToggle right>
      <ion-icon name="menu"></ion-icon>
    </button>
    <ion-title text-right>signup</ion-title>
  </ion-navbar>
</ion-header>


<ion-content padding >

  <form (ngSubmit)="register()" #registerForm="ngForm">
    <ion-row>
      <ion-col>
        <ion-list inset>

          <ion-item>
            <ion-input text-right type="text" placeholder="name" name="name" [(ngModel)]="usersadd.name" #name required></ion-input>
          </ion-item>

          <ion-item>
            <ion-input type="text" text-right placeholder="email" name="email" [(ngModel)]="usersadd.email" required></ion-input>
          </ion-item>

          <ion-item>
            <ion-input text-right type="password"  placeholder="passwod" name="password" [(ngModel)]="usersadd.password" required></ion-input>
          </ion-item>


        </ion-list>
      </ion-col>
    </ion-row>

    <ion-row>
      <ion-col class="signup-col">
        <button ion-button class="submit-btn" full type="submit" [disabled]="!registerForm.form.valid" (click)= "moveto(name.value)"  >signup</button>
      </ion-col>
    </ion-row>

  </form>

</ion-content>

signup.ts

export class SignupPage {
  registerForm :FormGroup;
  usersadd: users={
    email:'' ,
    password:'' ,
    name:'' ,
  }

  constructor(public navCtrl: NavController, public navParams: NavParams, public loadcontoll : LoadingController
     ,public fb : FormBuilder, public firestoreService:FierbaceserverProvider, public atetcontol :AlertController
     , public toastcontoll :ToastController) {
   
  }

  ionViewDidLoad() {
    console.log('ionViewDidLoad SignupPage');
  }

  moveto(name){
name=name;
this.navCtrl.setRoot(HomePage, {data: name});
  }

  register(){
const load =this.loadcontoll.create({
content:'تسجيل......'

})
load.present();
    if(this.usersadd.email!== '' && this.usersadd.password!== '' && this.usersadd.name!== ''  ){
      this.firestoreService.signupuser(this.usersadd);
      this.usersadd.name='';
      this.usersadd.email='';
      this.usersadd.password='';
      load.dismiss();
      const toast =this.toastcontoll.create({
        message:'success',
        duration: 3000,
            })
toast.present();
    }

    else()=>{
      load.dismiss();
      const alet =this.atetcontol.create({
        title:'wrong ',
        message:'wrong ',
        //message: error.message,
      
        buttons:['ok']
      })
alet.present();
    }

  }
}