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Previously real constants were parsed by an unproved OCaml code. The
parser and printer are now implemented in Coq, which will enable a
proof and hopefully make it easier to maintain / make evolve.
Previously reals were all parsed as an integer, an integer multiplied
by a power of ten or an integer divided by a power of ten. This means
1.02 and 102e-2 were both parsed as 102 / 100 and could not be tell
apart when printing. So the printer had to choose between two
representations : without exponent or without decimal dot. The choice
was made heuristically toward a most compact representation.
Now, decimal dot is parsed as a rational and exponents are parsed as a
product or division by a power of ten. For instance, 1.02 is parsed as
Q2R (102 # 100) whereas 102e-2 is parsed as IZR 102 / IZR (Z.pow_pos
10 2).
1.02 and 102e-2 remain equal (proved by reflexivity) but 1.02e1 = Q2R
(102 # 100) * 10 and 10.2 = Q2R (102 # 10) no longer are.
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This enables numeral notations for non inductive types by
pre/postprocessing them to a given proxy inductive type.
For instance, this should enable the use of numeral notations for R.
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This will enable to define numeral notation on non inductive by using
an inductive type as proxy and those translations to translate to/from
the actual type to the inductive type.
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Keep Numeral Notation wit a deprecation warning.
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We replace Coq's use of `Big_int` and `num` by the ZArith OCaml
library which is a more modern version.
We switch the core files and easy plugins only for now, more complex
numerical plugins will be done in their own commit.
We thus keep the num library linked for now until all plugins are
ported.
Co-authored-by: Vincent Laporte <Vincent.Laporte@fondation-inria.fr>
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We add hexadecimal numerals according to the following regexp
0[xX][0-9a-fA-F][0-9a-fA-F_]*(\.[0-9a-fA-F_]+)?([pP][+-]?[0-9][0-9_]*)?
This is unfortunately a rather large commit. I suggest reading it in
the following order:
* test-suite/output/ZSyntax.{v,out} new test
* test-suite/output/Int63Syntax.{v,out} ''
* test-suite/output/QArithSyntax.{v,out} ''
* test-suite/output/RealSyntax.{v,out} ''
* test-suite/output/FloatSyntax.{v,out} ''
* interp/numTok.ml{i,} extending numeral tokens
* theories/Init/Hexadecimal.v adaptation of Decimal.v
for the new hexadecimal Numeral Notation
* theories/Init/Numeral.v new interface for Numeral Notation (basically,
a numeral is either a decimal or an hexadecimal)
* theories/Init/Nat.v add hexadecimal numeral notation to nat
* theories/PArith/BinPosDef.v '' positive
* theories/ZArith/BinIntDef.v '' Z
* theories/NArith/BinNatDef.v '' N
* theories/QArith/QArith_base.v '' Q
* interp/notation.ml{i,} adapting implementation of numeral notations
* plugins/syntax/numeral.ml ''
* plugins/syntax/r_syntax.ml adapt parser for real numbers
* plugins/syntax/float_syntax.ml adapt parser for primitive floats
* theories/Init/Prelude.v register parser for nat
* adapting the test-suite (test-suite/output/NumeralNotations.{v,out}
and test-suite/output/SearchPattern.out)
* remaining ml files (interp/constrex{tern,pr_ops}.ml where two open
had to be permuted)
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"decimal" would no longer be an appropriate name when extending to
hexadecimal for instance.
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This completes a pure Dune bootstrap of Coq.
There is still the question if we should modify `coqdep` so it does
output a dependency on `Init.Prelude.vo` in certain cases.
TODO: We still double-add `theories` and `plugins` [in coqinit and in
Dune], this should be easy to clean up.
Setting `libs_init_load_path` does give a correct build indeed;
however we still must call this for compatibility?
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Ack-by: SkySkimmer
Reviewed-by: Zimmi48
Reviewed-by: erikmd
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For instance, parsing 0.1 will print a warning whereas parsing 0.5 won't.
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Print 1.5 as 1.5 and not 15e-1.
We choose the shortest representation
with tie break to the dot notation (0.01 rather than 1e-3).
The printing remains injective, i.e. 12*10^2 is printed 12e2 in order
not to mix it with 1200 and 12/10^1 is not mixed with 120/10^2, the
first being printed as 1.2 and the last as 1.20.
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Four types of numerals are introduced:
- positive natural numbers (may include "_", e.g. to separate thousands, and leading 0)
- integer numbers (may start with a minus sign)
- positive numbers with mantisse and signed exponent
- signed numbers with mantisse and signed exponent
In passing, we clarify that the lexer parses only positive numerals,
but the numeral interpreters may accept signed numerals.
Several improvements and fixes come from Pierre Roux. See
https://github.com/coq/coq/pull/11703 for details. Thanks to him.
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Warning: in notations, the name "bigint" actually meant "bignat". A
clarification will eventually be needed.
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Add headers to a few files which were missing them.
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'e' was not displayed when printing decimal notations in R :
Require Import Reals.
Check (1.23e1, 32e+1, 0.1)%R.
was giving
< (123-1%R, 321%R, 1-1%R)
instead of
< (123e-1%R, 32e1%R, 1e-1%R)
This was introduced in #8764 (in Coq 8.10).
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homotopy propositions and homotopy sets. Rename local variable R in test Nsatz, to avoid a name collision with the type of real numbers.
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We move `binder_kind` to the pretyping AST, removing the last data
type in the now orphaned file `Decl_kinds`.
This seems a better fit, as this data is not relevant to the lower
layers but only used in `Impargs`.
We also move state keeping to `Impargs`, so now implicit declaration
must include the type. We also remove a duplicated function.
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Redefine classical real numbers as a quotient of those constructive real numbers.
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Not pretty, but it had to be done some day, as `Globnames` seems to be
on the way out.
I have taken the opportunity to reduce the number of `open` in the
codebase.
The qualified style would indeed allow us to use a bit nicer names
`GlobRef.Inductive` instead of `IndRef`, etc... once we have the
tooling to do large-scale refactoring that could be tried.
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Most of these files were introduced after #6543 but used older headers
copied from somewhere else.
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Since their introduction, these notations were incorrectly using the
proof-local environment.
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It was fairly easy, the plugin defined an argument that was only used in
a vernacular extension. Thus marking it as VERNAC was enough not to link
to Ltac.
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RealField.v is slightly modified so that the ring/field tactics
consider the term (IZR (Z.pow_pos 10 _)) produced when parsing
exponents as constants.
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Rather than integers '[0-9]+', numeral constant can now be parsed
according to the regexp '[0-9]+ ([.][0-9]+)? ([eE][+-]?[0-9]+)?'.
This can be used in one of the two following ways:
- using the function `Notation.register_rawnumeral_interpreter` in an OCaml plugin
- using `Numeral Notation` with the type `decimal` added to `Decimal.v`
See examples of each use case in the next two commits.
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We add state handling to tactics.
TODO:
- [rewrite] `add_morphism_infer` creates problems as it opens a proof.
- [g_obligations] with_tac
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This should make https://github.com/coq/coq/pull/9129 easier.
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This work makes it possible to take advantage of a compact
representation for integers in the entire system, as opposed to only
in some reduction machines. It is useful for heavily computational
applications, where even constructing terms is not possible without such
a representation.
Concretely, it replaces part of the retroknowledge machinery with
a primitive construction for integers in terms, and introduces a kind of
FFI which maps constants to operators (on integers). Properties of these
operators are expressed as explicit axioms, whereas they were hidden in
the retroknowledge-based approach.
This has been presented at the Coq workshop and some Coq Working Groups,
and has been used by various groups for STM trace checking,
computational analysis, etc.
Contributions by Guillaume Bertholon and Pierre Roux <Pierre.Roux@onera.fr>
Co-authored-by: Benjamin Grégoire <Benjamin.Gregoire@inria.fr>
Co-authored-by: Vincent Laporte <Vincent.Laporte@fondation-inria.fr>
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As per https://github.com/coq/coq/pull/8965#issuecomment-441440779
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Users can now register string notations for custom inductives.
Much of the code and documentation was copied from numeral notations.
I chose to use a 256-constructor inductive for primitive string syntax
because (a) it is easy to convert between character codes and
constructors, and (b) it is more efficient than the existing `ascii`
type.
Some choices about proofs of the new `byte` type were made based on
efficiency. For example, https://github.com/coq/coq/issues/8517 means
that we cannot simply use `Scheme Equality` for this type, and I have
taken some care to ensure that the proofs of decidable equality and
conversion are fast. (Unfortunately, the `Init/Byte.v` file is the
slowest one in the prelude (it takes a couple of seconds to build), and
I'm not sure where the slowness is.)
In String.v, some uses of `0` as a `nat` were replaced by `O`, because
the file initially refused to check interactively otherwise (it
complained that `0` could not be interpreted in `string_scope` before
loading `Coq.Strings.String`).
There is unfortunately a decent amount of code duplication between
numeral notations and string notations.
I have not put too much thought into chosing names; most names have been
chosen to be similar to numeral notations, though I chose the name
`byte` from
https://github.com/coq/coq/issues/8483#issuecomment-421671785.
Unfortunately, this feature does not support declaring string syntax for
`list ascii`, unless that type is wrapped in a record or other inductive
type. This is not a fundamental limitation; it should be relatively
easy for someone who knows the API of the reduction machinery in Coq to
extend both this and numeral notations to support any type whose hnf
starts with an inductive type. (The reason for needing an inductive
type to bottom out at is that this is how the plugin determines what
constructors are the entry points for printing the given notation.
However, see also https://github.com/coq/coq/issues/8964 for
complications that are more likely to arise if inductive type families
are supported.)
N.B. I generated the long lists of constructors for the `byte` type with
short python scripts.
Closes #8853
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I think for instance the new code in this diff is cleaner and more
systematic:
~~~diff
VERNAC COMMAND EXTEND VernacDeclareTacticDefinition
-| [ "Ltac" ne_ltac_tacdef_body_list_sep(l, "with") ] => {
+| #[ deprecation; locality; ] [ "Ltac" ne_ltac_tacdef_body_list_sep(l, "with") ] => {
VtSideff (List.map (function
| TacticDefinition ({CAst.v=r},_) -> r
| TacticRedefinition (qid,_) -> qualid_basename qid) l), VtLater
} -> {
- let deprecation, locality = Attributes.(parse Notations.(deprecation ++ locality) atts) in
Tacentries.register_ltac (Locality.make_module_locality locality) ?deprecation l;
}
END
~~~
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Commands need to request the attributes they use, with the API
encouraging them to error on unsupported attributes.
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Almost all of ml4 were removed in the process. The only remaining files
are in the test-suite and probably need a bit of fiddling with coq_makefile,
and there only two really remaning ml4 files containing code.
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We refactor the `Coqlib` API to locate objects over a namespace
`module.object.property`.
This introduces the vernacular command `Register g as n` to expose the
Coq constant `g` under the name `n` (through the `register_ref`
function). The constant can then be dynamically located using the
`lib_ref` function.
Co-authored-by: Emilio Jesús Gallego Arias <e+git@x80.org>
Co-authored-by: Maxime Dénès <mail@maximedenes.fr>
Co-authored-by: Vincent Laporte <Vincent.Laporte@fondation-inria.fr>
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We remove sections paths from kernel names. This is a cleanup as most of the times this information was unused. This implies a change in the Kernel API and small user visible changes with regards to tactic qualification. In particular, the removal of "global discharge" implies a large cleanup of code.
Additionally, the change implies that some machinery in `library` and `safe_typing` must now take an `~in_section` parameter, as to provide the information whether a section is open or not.
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