# Reduce algorithm complexity and promote modularity

Just about every developer has found himself in a situation where they had a complicated algorithm in a single, virtually unreadable method, that was entangled together with other methods in a class. For example, say you have a general-purpose class for solving equations:

The above equation solver is hard-coded, meaning that to substitute a different solver, you would have to manually replace each instance. Let’s start by taking it out into a separate class. To do this, we use the Move to Another Type refactoring `F6`:

Then, we need to specify the class to move the method to. In order to separate concerns better, we pick a separate class called `QuadraticEquationSolver`

for this:

Now that the method has been moved, let’s try taking the discriminant out to a separate calculation. This is easy — we select the discriminant calculation and invoke the Extract Method refactoring `Control+Alt+M`:

Now, all we need to do is to give the new method a name:

And it’s done:

Now, let’s suppose that, after a while, we find a safer solver for quadratic equations. To factor it into the program, we’ll first need to create an abstract base class `QuadraticEquationSolverBase`

. We use the Extract Superclass refactoring refactoring available in the Refactor This menu `Control+Shift+R`:

In the dialog that shows up, we get to pick which members will be promoted upwards. We only want the `CalculateDiscriminant`

method:

We add an abstract definition of the `Calculate()`

method (previously called `Quadratic()`

) and end up with the following base class:

We also got rid of the `static`

keyword anywhere with the assumption that the implementations of `QuadraticEquationSolverBase`

will be handled by a lifetime manager within our code. Consequently, ReSharper reminds us to add the `override`

keyword to the renamed `Calculate`

method in our QuadraticEquationSolver class:

Now, let’s say we found a safer version of the quadratic equation solver. Let’s implement it. First, we use the Create derived type context action on our base class:

Then, we are asked to implement members on this type, which we do:

Finally, we provide an implementation, making use of the base class’ `CalculateDiscriminant()`

method:

And we’re done! Now the quadratic equation solver can be easily used, with its configuration and instantiation typically handled by an IoC container.