tvl-depot/nix/tag/default.nix
Profpatsch e4a7704583 feat(nix): add nix.tag, a way of discriminating via tagged unions
Introduces the concept of a “tag”, a single-keyed attrset which
annotates a nix value with a name.
This can be used to implement tagged unions (by implying the list of
possible tags is well-known), which has some overlap with how
`nix.yants` does it.

However, the more fascinating use-case is in concert with a
so-called discriminator, `match` and hylomorphisms.

The discriminator can take a nix value, and add tags to it based on
some predicate.
With `match`, we can then use that information to convert the
discriminated values again.
With `hylo`, we can combine both the “constructive” discriminator step
with the “destructive” match step to recursively walk over a nix data
structure (based on a description of how to recurse, e.g. through attrset
values or list values), and then apply a transformation in one go.

Change-Id: Ia335ca8b0881447fbbcb6bcd80f49feb835f1715
Reviewed-on: https://cl.tvl.fyi/c/depot/+/2434
Tested-by: BuildkiteCI
Reviewed-by: sterni <sternenseemann@systemli.org>
2021-01-30 15:41:08 +00:00

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{ depot, lib, ... }:
let
# Takes a tag, checks whether it is an attrset with one element,
# if so sets `isTag` to `true` and sets the name and value.
# If not, sets `isTag` to `false` and sets `errmsg`.
verifyTag = tag:
let cases = builtins.attrNames tag;
len = builtins.length cases;
in
if builtins.length cases == 1
then let name = builtins.head cases; in {
isTag = true;
name = name;
val = tag.${name};
errmsg = null;
}
else {
isTag = false;
errmsg =
( "match: an instance of a sum is an attrset "
+ "with exactly one element, yours had ${toString len}"
+ ", namely: ${lib.generators.toPretty {} cases}" );
name = null;
val = null;
};
# like `isTag`, but throws the error message if it is not a tag.
assertIsTag = tag:
let res = verifyTag tag; in
assert lib.assertMsg res.isTag res.errmsg;
{ inherit (res) name val; };
# Discriminator for values.
# Goes through a list of tagged predicates `{ <tag> = <pred>; }`
# and returns the value inside the tag
# for which the first predicate applies, `{ <tag> = v; }`.
# They can then later be matched on with `match`.
#
# `defTag` is the tag that is assigned if there is no match.
#
# Examples:
# discrDef "smol" [
# { biggerFive = i: i > 5; }
# { negative = i: i < 0; }
# ] -100
# => { negative = 100; }
# discrDef "smol" [
# { biggerFive = i: i > 5; }
# { negative = i: i < 0; }
# ] 1
# => { smol = 1; }
discrDef = defTag: fs: v:
let res = lib.findFirst
(t: t.val v)
null
(map assertIsTag fs);
in
if res == null
then { ${defTag} = v; }
else { ${res.name} = v; };
# Like `discrDef`, but fail if there is no match.
discr = fs: v:
let res = discrDef null fs v; in
assert lib.assertMsg (res != null)
"tag.discr: No predicate found that matches ${lib.generators.toPretty {} v}";
res;
# The canonical pattern matching primitive.
# A sum value is an attribute set with one element,
# whose key is the name of the variant and
# whose value is the content of the variant.
# `matcher` is an attribute set which enumerates
# all possible variants as keys and provides a function
# which handles each variants content.
# You should make an effort to return values of the same
# type in your matcher, or new sums.
#
# Example:
# let
# success = { res = 42; };
# failure = { err = "no answer"; };
# matcher = {
# res = i: i + 1;
# err = _: 0;
# };
# in
# match success matcher == 43
# && match failure matcher == 0;
#
match = sum: matcher:
let cases = builtins.attrNames sum;
in assert
let len = builtins.length cases; in
lib.assertMsg (len == 1)
( "match: an instance of a sum is an attrset "
+ "with exactly one element, yours had ${toString len}"
+ ", namely: ${lib.generators.toPretty {} cases}" );
let case = builtins.head cases;
in assert
lib.assertMsg (matcher ? ${case})
( "match: \"${case}\" is not a valid case of this sum, "
+ "the matcher accepts: ${lib.generators.toPretty {}
(builtins.attrNames matcher)}" );
matcher.${case} sum.${case};
# A `match` with the arguments flipped.
# “Lam” stands for “lambda”, because it can be used like the
# `\case` LambdaCase statement in Haskell, to create a curried
# “matcher” function ready to take a value.
#
# Example:
# lib.pipe { foo = 42; } [
# (matchLam {
# foo = i: if i < 23 then { small = i; } else { big = i; };
# bar = _: { small = 5; };
# })
# (matchLam {
# small = i: "yay it was small";
# big = i: "whoo it was big!";
# })
# ]
# => "whoo it was big!";
matchLam = matcher: sum: match sum matcher;
tests = import ./tests.nix {
inherit
depot
lib
verifyTag
discr
discrDef
match
matchLam
;
};
in {
inherit
verifyTag
assertIsTag
discr
discrDef
match
matchLam
tests
;
}