I've recently forayed into the world of functional programming (FP) and am wondering how to "think functionally" for even moderately sized applications? Especially w.r.t. the analysis and design of FPs.
With OOP we're trained to think in terms of objects, their attributes and relations. We model our analyses/designs using class and sequence diagrams. However, the same models seem to be a bad fit when designing for FPs. What are the equivalent modeling paradigms for functional programming? It seems DFDs maybe a good fit but I maybe wrong.
For example: I was thinking of designing a simulation of Monopoly, the board game using Haskell, just to learn the language. When doing OOAD you come up with classes like board contains items that have attributes/methods attached to it. You have player and various other objects and their associated relations that can be captured in a class diagram. And their interactions in a sequence diagram. However, these modeling paradigms doesn't seem to transfer well for functional programs. So just "how" do you model functionally?
Note: I'm looking for concrete references/examples that can explain how to analyze and design functional programs given that I'm coming from a heavily object-oriented way of thinking/modeling.
According to Simon Peyton Jones:
The language in which you write profoundly affects the design of programs written in that language. For example, in the OO world, many people use UML to sketch a design. In Haskell or ML, one writes type signatures instead. Much of the initial design phase of a functional program consists of writing type definitions. Unlike UML, though, all this design is incorporated in the final product, and is machine-checked throughout.
Source: Masterminds of Programming
So instead of drawing all the fancy UML diagrams, you actually write type definitions coupled with undefined in the design phase.