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How to dynamically chain function calls using RXJS?

I need to cache the result of a request on the first call then read the cached value for subsequent calls.

To achieve that goal, I am using promises and I am chaining them. I have a working solution but I would like to convert it to RxJS's observables instead of Promises.

Here is my working solution:

private currentPromise: Promise<{ [key: string]: any }>;
private cache: any;
public getSomething(name: string): Promise<number>{
  return this.currentPromise = !this.currentPromise ? 
    this._getSomething(name) : 
    new Promise((r) => this.currentPromise.then(() => this._getSomething(name).then((res) => r(res))));
}

private _getSomething(name: string): Promise<any> {
  return new Promise((resolve) => {
    if (this.cache[name]) {
      this.messages.push("Resolved from cache");
        resolve(this.cache[name]);
      } else {
        // Fake http call. I would use Angular's Http class.
        setTimeout(()=> {this.messages.push("Resolved from server"); this.cache[name] = name; resolve(this.cache[name]); }, 2000 );
      }
  });
}

this.getSomething("thing1").then((res)=>this.messages.push(res));
this.getSomething("thing1").then((res)=>this.messages.push(res));
this.getSomething("thing2").then((res)=>this.messages.push(res));
this.getSomething("thing2").then((res)=>this.messages.push(res));
this.getSomething("thing1").then((res)=>this.messages.push(res));
this.getSomething("thing2").then((res)=>this.messages.push(res));
this.getSomething("thing1").then((res)=>this.messages.push(res));
this.getSomething("thing2").then((res)=>this.messages.push(res));

You can test it on this plunkr: https://plnkr.co/edit/j1pm2GeQf6oZwRvbUsXJ?p=preview

How do I achieve the same thing with RxJS 5 beta?

Update

Following Bergi's comments I updated my plunkr and my code to bring it closer to my real case

AsyncSubjects are the Rx analog of Promises. publishLast is the best way to turn an observable into one. Something like this should work:

private cache: {string: Rx.Observable<any>};

public getSomethings(names: string[]) : Rx.Observable<any> {
    // call getSomething for each entry in names
    // streams is an array of observables
    const streams = names.map(name => this.getSomething(name));

    // transform streams into an observable with an array of results
    return Observable.zip(streams);
}

public getSomething(name: string) : Rx.Observable<any> {
    if (!this.cache[name]) {
        // create the request observable
        // const request = Rx.Observable.ajax(...); // http://reactivex.io/rxjs/class/es6/Observable.js~Observable.html#static-method-ajax
        // for now, just wait 2 seconds and return name
        const request = Rx.Obsevable.of(name).delay(2000);

        // use "do" to log whenever this raw request produces data
        const loggedRequest = request.do(v => this.messages.push("retrieved from server " + v));

        // create an observable that caches the result
        // in an asyncSubject
        const cachedRequest = loggedRequest.publishLast();

        // store this in our cache object
        this.cache[name] = cachedRequest;
    }

    // return the cached async subject
    return this.cache[name];
}


// usage
this.getSomething("thing1").subscribe(v => this.messages.push("received " + v));
this.getSomething("thing1").subscribe(v => this.messages.push("received " + v));
this.getSomething("thing1").subscribe(v => this.messages.push("received " + v));
this.getSomething("thing1").subscribe(v => this.messages.push("received " + v));

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