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Mini Project 0 - Implementing our First Interpreter EECS 662 - Programming Languages

The objective of this miniproject is to develop your first
rudimentary interpreter. You will extend with the AE language
presented in class to get up-to-speed with Haskell and write three
different interpreters using three different styles. For this
project, AE will be extended to include an `if0`

construct in addition
to constructs discussed in class:

```
AE ::= N
AE + AE |
AE - AE |
AE * AE |
AE / AE |
if0 AE then AE else AE
```

The new construct, `if0`

, is an expression that evaluates its
first argument and if it is `0`

evaluates its second. If not, it
evaluates its third.

Assume that `N`

represents the natural numbers as we have been
discussing in class, so you must add error handling for negative
numbers.

To aid in your quest, the file p0.hs implements the Haskell AE data type and a parser from strings to the data type. At the bottom of the file you will find signatures for the four functions required for the four exercises below.

Write a function, `evalAE::AE -> Int`

, that takes a AE data
structure, evaluates it, and returns an `Int`

. If your
interpreter fails, it should throw an error using the `error`

function discussed in class. Remember that `number`

is a natural
numnber and cannot be negative.

Write a function, `evalAEMaybe::AE -> Maybe Int`

, that takes the
same AE data structure as Exercise 1, evalutes it, and returns a
value. Use `Just`

to return a number and `Nothing`

to indicate an
error. Do not use `Maybe`

as a monad in this interpreter. Use
`if`

and/or `case`

to process errors.

Write a function, `evalM::AE -> Maybe Int`

, that takes the same AE
data structure as Exercises 1 & 2, evaluates it, and returns a
number. This time, use the `do`

notation to treat `Maybe`

as a
monad.

Write a function, `interpAE`

that combines the AE parser and
`evalM`

into a single operation that parses and then evaluates an
AE expression. You will be provided a parser and must integrate it
with your interpreter.

Most if not all the code for the AE interpreter can be found in our text. I would encourage you to try to write as much of it as possible without referring to the textbook examples.

To give you an idea of the effort required for this miniproject, my code is about 100 lines long and took me roughly an hour to write and debug. I view this as an easy project at this point in the semester. Do not put it off as most of you haven’t used Haskell in some time. Additionally, you’ll need to figure out how to use the Haskell tools installed on EECS machines or install them on your own.