Showing posts with label BST. Show all posts
Showing posts with label BST. Show all posts

Friday, February 3, 2012

Model Slicing with Spec Explorer

It’s been some time since I had the chance to blog on MBT. January 2nd 2012 my second son was born, and I’ve been on three weeks of paternity leave. Since then I’ve been too busy at work to squeeze in time to play with MBT, but now I’ve finally managed.
Today I want to talk about model slicing which is one of the more advanced features of Spec Explorer. Slicing is extremely powerful, because it allows you to build your models very generically, and then create many slices of that model with differing purposes.
I’m going to show some very simple examples on how slicing works, and then I will dig up the Binary Search Tree model to illustrate how this would work in practice.
Slicing
For my example on slicing I’m going to construct a very simple model. The state is one integer variable, and I have two rules defined the following way:
        [Rule(Action = "A()")]
        static void A()
        {
            value *= -1;
        }

        [Rule(Action = "B()")]
        static void B()
        {
            value++;
        }

Rule “A” flips the sign of the value and “B” increases it by one. The state space of this model is infinite. If you explore it you get something like:

Friday, October 14, 2011

James D. McCaffrey implements Recursive Binary Search Tree

Today I came across this blog article by James D. McCaffrey, where he actually implements a recursive binary search tree, and I couldn’t resist the urge to apply my own Model-Based Testing solution [1,2] to his implementation!

I had to extend his solution a bit to allow for an internal validation function of any constructed tree, but besides from that my only comment to his solution is that he treats error conditions by silently ignore them – that is the following actions generate no errors/exceptions:
A)     Deleting an element that does not exist in the tree.
B)     Inserting an element twice into the tree.

Patching these up in his code, my model generated test cases all passed, so his implementation is rock-solid! Kudos for that!

References:
[1] Application of Model Based Testing to a Binary Search Tree - Part I
[2] Application of Model Based Testing to a Binary Search Tree - Part II

Friday, May 27, 2011

Application of Model Based Testing to a Binary Search Tree - Part II

Okay, today I want to wrap up on the model based testing of the binary search tree implementation I did last time. Remember how we uncovered a problem that the model did not cover all of the code? Drawing from our experience from the Application of Code Coverage to Model Based Testing post we understand that our model does not reflect closely the actual implementation, and we have a risk in terms of a test hole.

Understanding the problem
Before we jump in to adding additional tests, let’s try and understand what the problem really is. Remember I hinted that it has to do with our choice of container in the model. So let’s try to understand this some more by building some trees from the model:

Notice that even though these three trees are very different constructs, the internal set representation of the model reads (0, 1, 2) for all cases.

Friday, May 20, 2011

Application of Model Based Testing to a Binary Search Tree - Part I

I wanted to post some real modeling examples for a change, where I show how to use model based testing to explore test case combinatorics. The obvious choice is of course the more than sufficiently modeled calculator. So I decided not to choose a calculator, but something a bit different. I thought to myself, why not a simple Binary Search Tree? Hmm, but does it have any potential?

BSTs are really nice in that you can write invariants for them: 
For all nodes n in T: value(left(n)) < value(n) < value(right(n))

However, in a normal functional testing paradigm this is not entirely sufficient to validate the tree. The problem is that any given sub-tree of the BST will pass the integrity check – thus if I were to introduce a bug that removed the whole sub-tree when deleting a node from the tree, the resulting tree is still a valid BST but it’s not the expected! Normally we would need to check the node count and also that the expected values are to be found in the tree, however in a model based testing paradigm this is no longer required as we will see later on.