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Signed primitive integers defined on top of the existing unsigned ones
with two's complement.
The module Sint63 includes the theory of signed primitive integers that
differs from the unsigned case.
Additions to the kernel:
les (signed <=), lts (signed <), compares (signed compare),
divs (signed division), rems (signed remainder),
asr (arithmetic shift right)
(The s suffix is not used when importing the Sint63 module.)
The printing and parsing of primitive ints was updated and the
int63_syntax_plugin was removed (we use Number Notation instead).
A primitive int is parsed / printed as unsigned or signed depending on
the scope. In the default (Set Printing All) case, it is printed in
hexadecimal.
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Suggested by Pierre Roux
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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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Support in the parser needs yet to be added though.
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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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Add headers to a few files which were missing them.
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The numerals lexed are now [0-9][0-9_]* ([.][0-9_]+)? ([eE][+-]?[0-9][0-9_]*)?
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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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