title: Dissecting Guix, Part 2: The Store Monad
date: TBC
author: (
tags: Dissecting Guix, Functional package management, Programming interfaces, Scheme API
---
Hello again!

In [the last post](https://guix.gnu.org/en/blog/2023/dissecting-guix-part-1-derivations/),
we briefly mentioned the `with-store` and `run-with-store` APIs.  Today, we'll
be looking at those in further detail, along with the related monad API and the
`%store-monad`!

Monads are a little hard to explain, and from a distance, they seem more than a
bit confusing.  So, I want you to erase monads from your mind for now.  We'll
come back to them later.

# Yes, No, Maybe So

Let's instead implement another M of functional programming, _`maybe`_ values,
representing a value that may or may not exist.  `maybe` is a very common
feature of strongly-typed functional languages, and you'll see it all over the
place in Haskell and OCaml code. However, Guile is dynamically typed, so we
usually use ad-hoc `#f`s and `'()`s for null values instead of a proper
"optional" value.

Just for fun, though, we'll implement a proper `maybe` in Guile.  Fire up that
REPL once again, and let's import a bunch of modules that we'll need:

```scheme
(use-modules (ice-9 match)
             (srfi srfi-9))
```

We'll implement `maybe` as a record with two fields, `is?` and `value`.  If the
value contains something, `is?` will be `#t` and `value` will contain the thing
in question, and if it's empty, `is?`'ll be `#f`.

```scheme
(define-record-type <maybe>
  (make-maybe is? value)
  maybe?
  (is? maybe-is?)
  (value maybe-value))
```

Now we'll define constructors for the two possible states:

```scheme
(define (something value)
  (make-maybe #t value))

(define (nothing)
  (make-maybe #f #f)) ;the value here doesn't matter; we'll just use #f
```

And make some silly functions that return optional values:

```scheme
(define (remove-a str)
  (if (eq? (string-ref str 0) #\a)
      (something (substring str 1))
      (nothing)))

(define (remove-b str)
  (if (eq? (string-ref str 0) #\b)
      (something (substring str 1))
      (nothing)))
      
(remove-a "ahh")
;; #<<maybe> is?: #t value: "hh">

(remove-a "ooh")
;; #<<maybe> is?: #f value: #f>

(remove-b "bad")
;; #<<maybe> is?: #t value: "ad">
```

But what if we want to compose the results of these functions?

# Keeping Your Composure

As you might have guessed, this is not fun.  Cosplaying as a compiler backend
typically isn't.

```scheme
(let ((t1 (remove-a "abcd")))
  (if (maybe-is? t1)
      (remove-b (maybe-value t1))
      (nothing)))
;; #<<maybe> is?: #t value: "cd">

(let ((t1 (remove-a "bbcd")))
  (if (maybe-is? t1)
      (remove-b (maybe-value t1))
      (nothing)))
;; #<<maybe> is?: #f value: #f>
```

I can almost hear the heckling.  Even worse, composing three:

```scheme
(let* ((t1 (remove-a "abad"))
       (t2 (if (maybe-is? t1)
               (remove-b (maybe-value t1))
               (nothing))))
  (if (maybe-is? t2)
      (remove-a (maybe-value t2))
      (nothing)))
;; #<<maybe> is?: #t value: "d">
```

So, how do we go about making this more bearable?  Well, one way could be to
make `remove-a` and `remove-b` accept `maybe`s:

```scheme
(define (remove-a ?str)
  (match ?str
    (($ <maybe> #t str)
     (if (eq? (string-ref str 0) #\a)
         (something (substring str 1))
         (nothing)))
    (_ (nothing))))

(define (remove-b ?str)
  (match ?str
    (($ <maybe> #t str)
     (if (eq? (string-ref str 0) #\b)
         (something (substring str 1))
         (nothing)))
    (_ (nothing))))
```

Not at all pretty, but it works!

```
(remove-b (remove-a (something "abc")))
;; #<<maybe> is?: #t value: "c">
```

Still, our procedures now require quite a bit of boilerplate.  Might there be a
better way?

# The Ties That `>>=` Us

First of all, we'll revert to our original definitions of `remove-a` and
`remove-b`, that is to say, the ones that take a regular value and return a
`maybe`.

```scheme
(define (remove-a str)
  (if (eq? (string-ref str 0) #\a)
      (something (substring str 1))
      (nothing)))

(define (remove-b str)
  (if (eq? (string-ref str 0) #\b)
      (something (substring str 1))
      (nothing)))
```

What if tried introducing higher-order procedures (procedures that accept other
procedures as arguments) into the equation?  Because we're functional
programmers and we have an unhealthy obsession with that sort of thing.

```scheme
(define (maybe-chain maybe proc)
  (if (maybe-is? maybe)
      (proc (maybe-value maybe))
      (nothing)))

(maybe-chain (something "abc")
             remove-a)
;; #<<maybe> is?: #t value: "bc">

(maybe-chain (nothing)
             remove-a)
;; #<<maybe> is?: #f value: #f>
```

It lives!  To make it easier to compose procedures like this, we'll define a
macro that allows us to perform any number of sequenced operations with only one
composition form:

```scheme
(define-syntax maybe-chain*
  (syntax-rules ()
    ((_ maybe proc)
     (maybe-chain maybe proc))
    ((_ maybe proc rest ...)
     (maybe-chain* (maybe-chain maybe proc)
                   rest ...))))

(maybe-chain* (something "abad")
              remove-a
              remove-b
              remove-a)
;; #<<maybe> is?: #t value: "d">
```

Congratulations, you've just implemented the `bind` operation, commonly written
as `>>=`, for our `maybe` type.  And it turns out that a monad is just any
container-like value for which `>>=` (along with another procedure called
`return`, which wraps a given value in the simplest possible form of a monad)
has been implemented.

A more formal definition would be that a monad is a mathematical object composed
of three parts: a type, a `bind` function, and a `return` function.  So, how do
monads relate to Guix?

# New Wheel, Old Wheel

Now that we've reinvented the wheel, we'd better learn to use the original
wheel.  Guix provides a generic, high-level monads API, along with the two
generic monads `%identity-monad` and `%state-monad`, and the Guix-specific
`%store-monad`.  Since `maybe` is not one of them, let's integrate our version
into the Guix monad system!

First we'll make the API available:

```scheme
(use-modules (guix monads))
```

To define a monad's API in Guix, we simply use the `define-monad` macro, and
provide two procedures: `bind`, and `return`.

```scheme
(define-monad %maybe-monad
  (bind maybe-chain)
  (return something))
```

`bind` is just the procedure that we use to compose monadic procedure calls
together, and `return` is the procedure that wraps values in the most basic form
of the monad.  A properly implemented `bind` and `return` must follow these
laws:

1. `(bind (return x) proc)` must be equivalent to `(proc x)`.
2. `(bind monad return)` must be equivalent to just `monad`.
3. `(bind (bind monad proc-1) proc-2)` must be equivalent to
   `(bind monad (lambda (x) (bind (proc-1 x) proc-2)))`.

Let's verify that our `maybe-chain` and `something` procedures adhere to the
monad laws:

```scheme
(define (mlaws-proc-1 x)
  (something (+ x 1)))

(define (mlaws-proc-2 x)
  (something (+ x 2)))
  
;; First law: the left identity.
(equal? (maybe-chain (something 0)
                     mlaws-proc-1)
        (mlaws-proc-1 0))
;; #t
 
;; Second law: the right identity.
(equal? (maybe-chain (something 0)
                     something)
        (something 0))
;; #t

;; Third law: associativity.
(equal? (maybe-chain (maybe-chain (something 0)
                                  mlaws-proc-1)
                     mlaws-proc-2)
        (maybe-chain (something 0)
                     (lambda (x)
                       (maybe-chain (mlaws-proc-1 x)
                                    mlaws-proc-2))))
;; #t
```

Now that we know they're valid, we can use the `with-monad` macro to tell Guix
to use these specific implementations of `bind` and `return`, and the `>>=`
macro to thread monads through procedure calls!

```scheme
(with-monad %maybe-monad
  (>>= (something "aabbc")
       remove-a
       remove-a
       remove-b
       remove-b))
;; #<<maybe> is?: #t value: "c">
```

We can also now use `return`:

```scheme
(with-monad %maybe-monad
  (return 32))
;; #<<maybe> is?: #t value: 32>
```

But Guix provides many higher-level APIs than `>>=` and `return`, as we will
see.  There's `mbegin`, which evaluates monadic expressions without binding them
to symbols, returning the last one:

```scheme
(mbegin %maybe-monad
  (remove-a "abc"))
;; #<<maybe> is?: #t value: "bc">
```

And there's `mlet` and `mlet*`, which can bind them, and are essentially
equivalent to a chain of `(>>= MEXPR (lambda (BINDING) ...))`:

```scheme
;; This is equivalent...
(mlet* %maybe-monad ((str -> "abad") ;non-monadic binding uses the -> symbol
                     (str1 (remove-a str))
                     (str2 (remove-b str)))
  (remove-a str))
;; #<<maybe> is?: #t value: "d">

;; ...to this:
(with-monad %maybe-monad
  (>>= (return "abad")
       (lambda (str)
         (remove-a str))
       (lambda (str1)
         (remove-b str))
       (lambda (str2)
         (remove-a str))))
```

Various abstractions over these two exist too, such as `mwhen` (a `when` plus an
`mbegin`), `munless` (an `unless` plus an `mbegin`), and `mparameterize`
(dynamically-scoped value rebinding, like `parameterize`, in a monadic context).
`lift` takes a procedure and a monad and creates a new procedure that returns
a monadic value.

There are also APIs for manipulating lists wrapped in monads; `listm` creates
such a list, `sequence` turns a list of monads into a list wrapped in a monad,
and the `anym`, `mapm`, and `foldm` procedures are like their non-monadic
equivalents, except that they return lists wrapped in monads.

This is all well and good, you may be thinking, but why does Guix need a monad
API?  The answer is technically that it doesn't.  But building on the monad API
makes a lot of things much easier, and to learn why, we're going to look at one
of Guix's built-in monads.

# In a State

Guix implements a monad called `%state-monad`, and it works with single-argument
procedures returning two values.  Behold:

```scheme
(with-monad %state-monad
  (return 33))
;; #<procedure 21dc9a0 at <unknown port>:1106:22 (state)>
```

The `run-with-state` value turns this procedure into an actually useful value,
or, rather, two values:

```scheme
(run-with-state (with-monad %state-monad (return 33))
  (list "foo" "bar" "baz"))
;; 33
;; ("foo" "bar" "baz")
```

What can this actually do for us, though? Well, it gets interesting if we do
some `>>=`ing:

```scheme
(define state-seq
  (mlet* %state-monad ((number (return 33)))
    (state-push number)))
result
;; #<procedure 7fcb6f466960 at <unknown port>:1484:24 (state)>

(run-with-state state-seq (list 32))
;; (32)
;; (33 32)

(run-with-state state-seq (list 30 99))
;; (30 99)
;; (33 30 99)
```

What is `state-push`?  It's a monadic procedure for `%state-monad` that takes
whatever's currently in the first value (the primary value) and pushes it onto
the second value (the state value), which is assumed to be a list, returning the
old state value as the primary value and the new list as the state value.

So, when we do `(run-with-state result (list 32))`, we're passing `(list 32)` as
the initial state value, and then the `>>=` form passes that and `33` to
`state-push`.  What `%state-monad` allows us to do is thread together some
procedures that require some kind of state, while pretending the state isn't
there, and then retrieve both the final state and the result at the end!

If you're a bit confused, don't worry.  We'll write some of our own
`%state-monad`-based monadic procedures and hopefully all will become clear.
Consider, for instance, the
[Fibonacci sequence](https://en.wikipedia.org/wiki/Fibonacci_number), in which
each value is computed by adding the previous two.  We could use the
`%state-monad` to compute Fibonacci numbers by storing the previous number as
the primary value and the number before that as the state value:

```scheme
(define (fibonacci-thing value)
  (lambda (state)
    (values (+ value state)
            value)))
```

Now we can feed our Fibonacci-generating procedure the first value using
`run-with-state` and the second using `return`:

```scheme
(run-with-state
    (mlet* %state-monad ((starting (return 1))
                         (n1 (fibonacci-thing starting))
                         (n2 (fibonacci-thing n1)))
      (fibonacci-thing n2))
  0)
;; 3
;; 2

(run-with-state
    (mlet* %state-monad ((starting (return 1))
                         (n1 (fibonacci-thing starting))
                         (n2 (fibonacci-thing n1))
                         (n3 (fibonacci-thing n2))
                         (n4 (fibonacci-thing n3))
                         (n5 (fibonacci-thing n4)))
      (fibonacci-thing n5))
  0)
;; 13
;; 8
```

This is all very nifty, and possibly useful in general, but what does this have
to do with Guix?  Well, many Guix store-based operations are meant to be used
in concert with yet another monad, called the `%store-monad`.  But if we look at
`(guix store)`, where `%store-monad` is defined...

```scheme
(define-alias %store-monad %state-monad)
(define-alias store-return state-return)
(define-alias store-bind state-bind)
```

It was all a shallow façade!  All the "store monad" is is a special case of the
state monad, where a value representing the store is passed as the state value.

# Lies, Damned Lies, and Abstractions

We mentioned that, technically, we didn't need monads for Guix.  Indeed, many
(now deprecated) procedures take a store value as the argument, such as
`build-expression->derivation`.  However, using monads both helps ensure purity
and simply looks nicer.

`build-expression->derivation`, being deprecated, should never of course be
used.  For one thing, it uses the "quoted build expression" style, rather than
G-expressions (we'll discuss gexps another time).  The best way to create a
derivation from some basic build code is to use the new-fangled
`gexp->derivation` procedure:

```scheme
(use-modules (guix gexp)
             (gnu packages irc))

(define symlink-irssi
  (gexp->derivation "link-to-irssi"
    #~(symlink #$(file-append irssi "/bin/irssi") #$output)))
;; #<procedure 7fddcc7b81e0 at guix/gexp.scm:1180:2 (state)>
```

You don't have to understand the `#~(...)` form yet, only everything surrounding
it.  We can see that this `gexp->derivation` returns a procedure taking the
initial state (store), just like our `%state-monad` procedures did, and like we
used `run-with-state` to pass the initial state to a `%state-monad` monadic
value, we use our old friend `run-with-store` when we have a `%store-monad`
monadic value!

```scheme
(define symlink-irssi-drv
  (with-store store
    (run-with-store store
      symlink-irssi)))
;; #<derivation /gnu/store/q7kwwl4z6psifnv4di1p1kpvlx06fmyq-link-to-irssi.drv => /gnu/store/6a94niigx4ii0ldjdy33wx9anhifr25x-link-to-irssi 7fddb7ef52d0>
```

Let's just check this derivation is as expected by reading the code from the
builder script.

```scheme
(define symlink-irssi-builder
  (list-ref (derivation-builder-arguments symlink-irssi-drv) 1))

(call-with-input-file symlink-irssi-builder
  (lambda (port)
    (read port)))
    
;; (symlink
;;  "/gnu/store/hrlmypx1lrdjlxpkqy88bfrzg5p0bn6d-irssi-1.4.3/bin/irssi"
;;  ((@ (guile) getenv) "out"))
```

And indeed, it symlinks the `irssi` binary to the output path.  Some other,
higher-level, monadic procedures include `interned-file`, which copies a file
from outside the store into it, and `text-file`, which copies some text into it.
Generally, these procedures aren't used, as there are higher-level procedures
that perform similar functions (which we will discuss later), but for the sake
of this blog post, here's an example:

```scheme
(with-store store
  (run-with-store store
    (text-file "unmatched-paren"
      "( <paren@disroot.org>")))
;; "/gnu/store/v6smacxvdk4yvaa3s3wmd54lixn1dp3y-unmatched-paren"
```

# Conclusion

What have we learned about monads?  The key points we can take away are:

1. Monads are a way of composing together procedures and values that are wrapped
   in containers that give them extra context, like `maybe` values.
2. Guix provides a high-level monad API that compensates for Guile's lack of
   strong types or an interface-like system.
3. This API provides the state monad, which allows you to thread state through
   procedures such that you can pretend it doesn't exist.
4. Guix uses the store monad frequently to thread a store connection through
   procedures that need it.
5. The store monad is really just the state monad in disguise, where the state
   value is used to thread the store object through monadic procedures.

If you've read this post in its entirety but still don't yet quite get it, don't
worry.  Try to modify and tinker about with the examples, and hopefully it will
all click eventually!

#### About GNU Guix

[GNU Guix](https://guix.gnu.org) is a transactional package manager and
an advanced distribution of the GNU system that [respects user
freedom](https://www.gnu.org/distros/free-system-distribution-guidelines.html).
Guix can be used on top of any system running the Hurd or the Linux
kernel, or it can be used as a standalone operating system distribution
for i686, x86_64, ARMv7, AArch64 and POWER9 machines.

In addition to standard package management features, Guix supports
transactional upgrades and roll-backs, unprivileged package management,
per-user profiles, and garbage collection.  When used as a standalone
GNU/Linux distribution, Guix offers a declarative, stateless approach to
operating system configuration management.  Guix is highly customizable
and hackable through [Guile](https://www.gnu.org/software/guile)
programming interfaces and extensions to the
[Scheme](http://schemers.org) language.