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Pass value to non-sequential activity

I'm new to Android development and was unable to find how to pass values to an activity that is not the next screen that the user will see. If I have activities in this order: 1>2>3 connected by buttons, how do I pass a value from 1 to 3? I'm only familiar with using intents on button clicks, which would require me to pass the value to screen 2 and then to screen 3.
Thanks

There are several ways to do that:
1) From Activity1 you pass data though Intent. In Activity2 you retrieve data and pass it within new Intent to Acitivity3.
2) Save data in SharedPreferences in Activity1 and retrieve them in Activity3.
3) Save data in SQLite database which is default for Android. This is a good option if you need to save/query data not once, but many times.
4) Save in Google Cloud or use other services.
You can see here a full bunch of store options in Android. Without performing those actions, storing/retrieving data though the Intent is the only one way.
Note: Make a static variables is such a bad practice, unless it is just constant values or other utilities.

If the chain pass becomes too complicated then you should persist it. My suggestion is using Preferences to save the value. Later you do an existence check in the retrieving Activity, load it, and if needed clear it. This is the method commonly used when storing app Settings values.
If your values become more complicated in structure and more numerous then you'd need to consider database.

Is it possible to recursively use the same activity using intents?

I am at a point of code where I need to use same activity with different values. Is it possible to use same activity recursively?

Yes, its possible but you have to use the condition inside the activity based on the value pass through intents.
It may possible for the same activity with different values so the value pass from previous activity will decide what data will display..

Yes.you can use the same activity but make sure,you don't go into infinite loop nor you get messed up with different codes for various conditions you call the activity.you can achieve that by maintaining extras in Intent you use to call the activity.

Wouldn't it be more suitable (in terms of readability) to create a new Activity-class with the same layout but other functionality? This way one Activity will have one behaviour instead of two - making your code more simple, readable and maintainable.

Another way to pass value from one activity to another activity

Usually we pass value in android from one activity to another activity by Intent function.Is there is any another way is possible to pass the values from one activity to another activity with out Intent function

Yes. Create a class that extends android.app.Application, then in the Manifest put this class as the name of your application
<application android:name=".ClassNameOfTheClassYouCreated"...>
...activities etc here...
</application>
Now, that class that you created is your application. Its lifespan is all the way as long as the application is running, it holds the activities stack and you can add some custom fields to hold your values. To get the Application instance from an Activity, hit this.getApplication().
Edit regarding fields values being reset (in response to the commend by #hackbod): Using static fields on singletons is the other way to hold global values, but I find the proposed one more elegant. As of the case you mention with resetting values, that can also happen in other contexts (like incoming phone call, orientation change), which raises the need to sanitize (or check for existence, call it whatever you like) values before using them. Always!

Information flow can be realized in various way, all you need is a way to save and retrieve your data.
You can save and then get your data which you want it to flow via static class, file storage, database, or even remote storage by using network.
Intent is the better way. Android creates it, so use it. :)

From http://developer.android.com/guide/topics/providers/content-providers.html :
Content providers store and retrieve data and make it accessible to all applications. They're the only way to share data across applications; there's no common storage area that all Android packages can access.
If you want to make your own data public, you have two options: You can create your own content provider (a ContentProvider subclass) or you can add the data to an existing provider — if there's one that controls the same type of data and you have permission to write to it.

Android: launch different activities in a stack, using the same class

I have a similar issue with this one:
Android: Multiple activity instances launched by same intent. Bring one uniquely to foreground?
I need to create a stack of activities, all created by using the same class: it is a class defining a news list, only there needs to be multiple children activities that are also news lists, but from different categories. (I do need to have these activities in a stack)
The trouble is I need to change data on each of these activities after they are shown, but I can't find a way to access each one of these activities separately, since they are all using the same class, so if I used static methods, I would change the data on all these activities at the same time. Ideally, there could be a way to use references of each activity, so that I can access methods on each one separately, but I don't think there is a way of doing this.
I might as well pass parameter IDs when starting each activity, and instantiate objects at the same time, for each activity, and using these IDs later access the respective objects' methods...
Edit to clarify: Let me use an example to what I am trying to achieve. I have an A class and I am using this same class to instantiate multiple activities, in a stack. After the creation of these activities, I need to alter data, say, on one of these activities statically, so by calling A.alterData(); , but not when the activities are created, so there is no way of doing this by starting the activities with different data.. Since there are multiple instances of this class, if I do so, this will result on altering the data on all these activities, that are using the A class. Would I be able to somehow use objects and methods to these objects to alter data on different activities that are using the same class?
any other ideas?

You could use an ActivityGroup. It basically holds a list of activities and you need to control the navigation around them. It sounds like it suits your situation. There are many examples of them that can be found through google.
How I would approach changing the data on the other screens is by using shared preferences. You can store whatever data you need in there, and then (through your activity group) when you change screen, the data is refreshed. This is faster and a little more efficient than restarting the intent every time.
Another way is to change the data in the background without the user noticing. This can be done because an Activity group loads all of the Activity it holds and they are always there in the background, running, unless the developer states otherwise.
You could grab a a hold of the appropriate instance of the class you want to change the data on and then just change it.
Does any of this make sense?
I can elaborate more if needed.

I would supply the parameters to each activity, such as:
intent.putExtra("category", categoryId);
That way you aren't managing too much global state.
About changing the data - if you are talking about refreshing the data from its original source, then you should probably be doing this in the onResume() method of the Activity. Check out the Activity Lifecycle.
This has a few benefits:
you will have access to all of the context of that Activity
you won't have to do something nasty like access another Activity's data
you won't waste time refreshing data the user isn't looking at
Even if you have to make updates to the data, there are ways to make sure each Activity "minds its own business".

When to use more Activities

I have an Activity which is an OpenGL view. I also have an xml layout to use for preferences. Until now, to show the preference menu, I just brought it to front by setContentView(). And the same to get back to the OpenGL view.
But is this a case where I should give the preference menu its own Activity?
I guess this would make a few things much easier. For example, the back button would just work, opposed to now where I have to code it or it will just exits the application.
And if this is a good idea, how do I pass data both ways? I have a class that store all preferences. Can I send it to the Activity and back again? Or is the best way to store the preferences in a sqlite database and then use it for passing data?

I find it easier to segregate menus and such into separate activities (unless you are using dialogs etc..) As far as storing data you can do it a number of ways:
Database
StoredPreferences
Intent extras with putExtra/Bundle
Creating an application subclass and storing preferences there
Each have their merit. 4 is pretty easy as you just have to state the application class name in your manifest then call: MyAppClass app = (MyAppClass)getApplicationContext(); and you can then use any variables in MyAppClass via app. 2 is also straightforward.

You already pointed out the main difference: history management.
You can pass data to Activity via Intents putExtra()/getExtra():
Create an Intend and add custom data via Intent.putExtra(..)
Start the new Activity: startActivityForResult(intent).
Inside new Activity you can get extra data with intent.getXyzExtra() (where xyz is type).
When new Activity is done just call setResult(int, resultIntent). Again you can add extra data as described in 1.
Call finish() to end the activity.
In original Activity method onActivityResult will be called. Again extract data from Intent as described in 3.