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>
2021-01-23 17:23:39 +01:00
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{ depot, lib, ... }:
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let
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# Takes a tag, checks whether it is an attrset with one element,
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# if so sets `isTag` to `true` and sets the name and value.
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# If not, sets `isTag` to `false` and sets `errmsg`.
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verifyTag = tag:
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let cases = builtins.attrNames tag;
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len = builtins.length cases;
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in
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if builtins.length cases == 1
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then let name = builtins.head cases; in {
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isTag = true;
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name = name;
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val = tag.${name};
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errmsg = null;
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}
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else {
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isTag = false;
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errmsg =
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( "match: an instance of a sum is an attrset "
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+ "with exactly one element, yours had ${toString len}"
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+ ", namely: ${lib.generators.toPretty {} cases}" );
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name = null;
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val = null;
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};
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2021-09-14 12:54:49 +02:00
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# like `verifyTag`, but throws the error message if it is not a tag.
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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>
2021-01-23 17:23:39 +01:00
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assertIsTag = tag:
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let res = verifyTag tag; in
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assert lib.assertMsg res.isTag res.errmsg;
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{ inherit (res) name val; };
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# Discriminator for values.
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# Goes through a list of tagged predicates `{ <tag> = <pred>; }`
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# and returns the value inside the tag
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# for which the first predicate applies, `{ <tag> = v; }`.
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# They can then later be matched on with `match`.
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#
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# `defTag` is the tag that is assigned if there is no match.
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#
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# Examples:
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# discrDef "smol" [
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# { biggerFive = i: i > 5; }
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# { negative = i: i < 0; }
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2021-09-09 22:20:58 +02:00
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# ] (-100)
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# => { negative = -100; }
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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>
2021-01-23 17:23:39 +01:00
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# discrDef "smol" [
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# { biggerFive = i: i > 5; }
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# { negative = i: i < 0; }
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# ] 1
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# => { smol = 1; }
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discrDef = defTag: fs: v:
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let res = lib.findFirst
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(t: t.val v)
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null
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(map assertIsTag fs);
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in
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if res == null
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then { ${defTag} = v; }
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else { ${res.name} = v; };
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# Like `discrDef`, but fail if there is no match.
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discr = fs: v:
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let res = discrDef null fs v; in
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assert lib.assertMsg (res != null)
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"tag.discr: No predicate found that matches ${lib.generators.toPretty {} v}";
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res;
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# The canonical pattern matching primitive.
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# A sum value is an attribute set with one element,
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# whose key is the name of the variant and
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# whose value is the content of the variant.
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# `matcher` is an attribute set which enumerates
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# all possible variants as keys and provides a function
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# which handles each variant’s content.
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# You should make an effort to return values of the same
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# type in your matcher, or new sums.
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#
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# Example:
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# let
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# success = { res = 42; };
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# failure = { err = "no answer"; };
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# matcher = {
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# res = i: i + 1;
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# err = _: 0;
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# };
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# in
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# match success matcher == 43
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# && match failure matcher == 0;
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#
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match = sum: matcher:
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let cases = builtins.attrNames sum;
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in assert
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let len = builtins.length cases; in
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lib.assertMsg (len == 1)
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( "match: an instance of a sum is an attrset "
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+ "with exactly one element, yours had ${toString len}"
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+ ", namely: ${lib.generators.toPretty {} cases}" );
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let case = builtins.head cases;
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in assert
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lib.assertMsg (matcher ? ${case})
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( "match: \"${case}\" is not a valid case of this sum, "
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+ "the matcher accepts: ${lib.generators.toPretty {}
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(builtins.attrNames matcher)}" );
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matcher.${case} sum.${case};
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# A `match` with the arguments flipped.
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# “Lam” stands for “lambda”, because it can be used like the
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# `\case` LambdaCase statement in Haskell, to create a curried
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# “matcher” function ready to take a value.
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#
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# Example:
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# lib.pipe { foo = 42; } [
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# (matchLam {
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# foo = i: if i < 23 then { small = i; } else { big = i; };
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# bar = _: { small = 5; };
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# })
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# (matchLam {
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# small = i: "yay it was small";
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# big = i: "whoo it was big!";
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# })
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# ]
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# => "whoo it was big!";
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matchLam = matcher: sum: match sum matcher;
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tests = import ./tests.nix {
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inherit
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depot
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lib
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verifyTag
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discr
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discrDef
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match
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matchLam
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;
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};
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in {
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inherit
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verifyTag
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assertIsTag
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discr
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discrDef
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match
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matchLam
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tests
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;
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}
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