142 lines
6.3 KiB
Markdown
142 lines
6.3 KiB
Markdown
---
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title: Compiling a Functional Language Using C++, Part 0 - Intro
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date: 2019-08-03T01:02:30-07:00
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tags: ["C and C++", "Functional Languages", "Compilers"]
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draft: true
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---
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During my last academic term, I was enrolled in a compilers course.
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We had a final project - develop a compiler for a basic Python subset,
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using LLVM. It was a little boring - virtually nothing about the compiler
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was __not__ covered in class, and it felt more like putting two puzzles
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pieces together than building a real project.
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Instead, I chose to implement a compiler for a functional programming language,
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based on a wonderful book by Simon Peyton Jones, _Implementing functional languages:
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a tutorial_. Since the class was requiring the use of tools based on C++,
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that's what I used for my compiler. It was neat little project, and I
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wanted to share with everyone else how one might go about writing their
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own functional language.
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### Motivation
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There are two main motivating factors for this series.
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First, whenever I stumble on a compiler implementation tutorial,
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the language created is always imperative, inspired by C, C++, JavaScript,
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or Python. There are many interesting things about compiling such a language.
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However, I also think that the compilation of a functional language (including
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features like lazy evaluation) is interesting enough, and rarely covered.
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Second, I'm inspired by books such as _Software Foundations_ that use
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source code as their text. The entire content of _Software Foundations_,
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for instance, is written as comments in Coq source file. This means
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that you can not only read the book, but also run the code and interact with it.
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This makes it very engaging to read. Because of this, I want to provide for
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each post a "snapshot" of the project code. All the code in the posts
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will directly mirror that snapshot. The code you'll be reading will be
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runnable and open.
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### Overview
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Let's go over some preliminary information before we embark on this journey.
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#### The "classic" stages of a compiler
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Let's take a look at the high level overview of what a compiler does.
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Conceptually, the components of a compiler are pretty cleanly separated.
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They are as gollows:
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1. Tokenizing / lexical analysis
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2. Parsing
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3. Analysis / optimization
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5. Code Generation
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There are many variations on this structure. Some compilers don't optimize
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at all, some translate the program text into an intermediate representation,
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an alternative way of representing the program that isn't machine code.
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In some compilers, the stages of parsing and analysis can overlap.
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In short, just like the pirate's code, it's more of a guideline than a rule.
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#### What we will cover
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We'll go through the stages of a compiler, starting from scratch
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and building up our project. We'll cover:
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* Tokenizing using regular expressions and Flex.
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* Parsing using context free grammars and Bison.
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* Monomorphic type checking (including typing rules).
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* Evaluation using graph reduction and the G-Machine.
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* Compiling G-Machine instructions to machine code using LLVM.
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We'll be creating a __lazily evaluated__, __functional__ language.
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#### What we won't cover
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Surely a guide written by one person can't be comprehensive. Not only
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do I have a finite amount of time to share this informatiom with you,
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but I also don't want to dilute the content of the posts in this series. Furthermore,
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many things that we'll be using for this tutorial are taught
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by numerous other sources, and those sources do a better job than I would.
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So, here are some things that you might want to know for this series,
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which won't be covered by the series itself:
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* [Theory of computation](https://en.wikipedia.org/wiki/Theory_of_computation),
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or, more specifically, [automata theory](https://en.wikipedia.org/wiki/Automata_theory).
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Deterministic and nondeterministic finite automata are briefly mentioned
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during tokenizing, and context free grammars are used in our parser. However,
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I don't provide a real explanation for either of those things.
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* [Functional programming](https://en.wikipedia.org/wiki/Functional_programming),
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with a touch of [lambda calculus](https://en.wikipedia.org/wiki/Lambda_calculus).
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We jump straight into implementing the concepts from these.
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* C++. I do my best to use correct and modern C++, but I'm not an expert. I will
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not explain the syntax / semantics of C++ code included in these posts, but I will
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explain what my code does in the context of compilers.
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#### The syntax of our language
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Simon Peyton Jones, in his two works regarding compiling functional languages, remarks
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that most functional languages are very similar, and vary largely in syntax. That's
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our main degree of freedom. We want to represent the following things, for sure:
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* Defining functions
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* Applying functions
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* Arithmetic
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* Algebraic data types (to represent lists, pairs, and the like)
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* Pattern matching (to operate on data types)
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We can additionally support anonymous (lambda) functions, but compiling those
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is actually a bit trickier, so we will skip those for now. Arithmetic is the simplest to
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define - let's define it as we would expect: `3` is a number, `3+2*6` evaluates to 15.
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Function application isn't much more difficult - `f x` means "apply f to x", and
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`f x + g x` means sum the result of applying f to x and g to x. That is, function
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application has higher precedence, or __binds tighter__ than binary operators like plus.
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Next, let's define the syntax for declaring a function. Why not:
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```
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defn f x = { x + x }
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```
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As for declaring data types:
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```
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data List = { Nil, Cons Int List }
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```
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Notice that we are avoiding polymorphism here.
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Let's also define a syntax for pattern matching:
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```
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case l of {
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Nil -> { 0 }
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Cons x xs -> { x }
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}
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```
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The above means "if the list `l` is `Nil`, then return 0, otherwise, if it's
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constructed from an integer and another list (as defined in our `data` example),
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return the integer".
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That's it for the introduction! In the next post, we'll cover tokenizng, which is
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the first step in converting source code into an executable program.
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### Navigation
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Here are the posts that I've written so far for this series:
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* [Tokenizing]({{< relref "01_compiler_tokenizing.md" >}})
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* [Parsing]({{< relref "02_compiler_parsing.md" >}})
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* [Typechecking]({{< relref "03_compiler_typechecking.md" >}})
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* [Small Improvements]({{< relref "04_compiler_improvements.md" >}})
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* [Execution]({{< relref "05_compiler_execution.md" >}})
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* [Compilation]({{< relref "06_compiler_semantics.md" >}})
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