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Thanks to Emilio and Pierre-Marie Pédrot for pointers.
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As per https://github.com/coq/coq/pull/8064#pullrequestreview-145971522
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As per https://github.com/coq/coq/pull/8064#discussion_r209875616
I decided to make it a warning because it seems more flexible that way;
users to are flipping back and forth between option types and not option
types while designing won't have to update their `abstract after`
directives to do so, and users who don't want to allow this can make it an
actual error message.
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Also make `Check S` no longer anomaly
Add a couple more test cases for numeral notations
Also add another possibly-confusing error message to the doc.
Respond to Hugo's doc request with Zimmi48's suggestion
From https://github.com/coq/coq/pull/8064/files#r204191608
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Some of this code is cargo-culted or kludged to work.
As I understand it, the situation is as follows:
There are two sorts of use-cases that need to be supported:
1. A plugin registers an OCaml function as a numeral interpreter. In
this case, the function registration must be synchronized with the
document state, but the functions should not be marshelled / stored
in the .vo.
2. A vernacular registers a Gallina function as a numeral interpreter.
In this case, the registration must be synchronized, and the function
should be marshelled / stored in the .vo.
In case (1), we can compare functions by pointer equality, and we should
be able to rely on globally unique keys, even across backtracking.
In case (2), we cannot compare functions by pointer equality (because
they must be regenerated on unmarshelling when `Require`ing a .vo file),
and we also cannot rely on any sort of unique key being both unique and
persistent across files.
The solution we use here is that we ask clients to provide "unique"
keys, and that clients tell us whether or not to overwrite existing
registered functions, i.e., to tell us whether or not we should expect
interpreter functions to be globally unique under pointer equality. For
plugins, a simple string suffices, as long as the string does not clash
between different plugins. In the case of vernacular-registered
functions, use marshell a description of all of the data used to
generate the function, and use that string as a unique key which is
expected to persist across files. Because we cannot rely on
function-pointer uniqueness here, we tell the
interpretation-registration to allow overwriting.
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Some of this code is response to comments on the PR
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Some code is to fix an issue that bignums revealed:
Both Int31 and bignums registered numeral notations in int31_scope. We
now prepend a globally unique identifier when registering numeral
notations from OCaml plugins. This is permissible because we don't
store the uid information for such notations in .vo files (assuming I'm
understanding the code correctly).
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```
git grep --name-only 'should goes' | xargs sed s'/should goes/should go/g' -i
```
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This way, we could fully bypass bigint.ml.
The previous mechanism of parsing/printing Z is kept for now.
Currently, the conversion functions accepted by Numeral Notation foo
may have the following types.
for parsing:
int -> foo
int -> option foo
uint -> foo
uint -> option foo
Z -> foo
Z -> option foo
for printing:
foo -> int
foo -> option int
foo -> uint
foo -> option uint
foo -> Z
foo -> option Z
Notes:
- The Declare ML Module is directly done in Prelude
- When doing a Numeral Notation, having the Z datatype around
isn't mandatory anymore (but the error messages suggest that
it can still be used).
- An option (abstract after ...) allows to keep large numbers in
an abstract form such as (Nat.of_uint 123456) instead of reducing
to (S (S (S ...))) and ending immediately with Stack Overflow.
- After checking with Matthieu, there is now a explicit check
and an error message in case of polymorphic inductive types
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This is a portion of roglo's PR#156 introducing a Numeral Notation
command : we deal here with inductive types via conversion fonctions
from/to Z written in Coq.
For an example, see plugins/syntax/NatSyntaxViaZ.v
This commit does not include the part about printing via some ltac.
Using ltac was meant for dealing with real numbers, let's see first what
become PR#415 about a compact representation for real literals.
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