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As noted by Hugo Herbelin, Dec is rather used for "decidable".
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Keep Numeral Notation wit a deprecation warning.
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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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There was also a non truly recursive in the doc.
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Add headers to a few files which were missing them.
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Because that's the sane thing to do.
This will inevitably cause issues for projects which do not `Import
Coq.Strings.Ascii` before trying to use ascii notations.
We also move the syntax plugin for `int31` notations from `Cyclic31` to
`Int31`, so that users (like CompCert) who merely `Require Import
Coq.Numbers.Cyclic.Int31.Int31` get the `int31` numeral syntax. Since
`Cyclic31` `Export`s `Int31`, this should not cause any additional
incompatibilities.
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This parsing/printing method for nat should be just as fast as
the previous dedicated code. Moreover, we could now parse large
literals as nat numbers, by leaving them in a half-abstract form
such as (Nat.of_uint 123456). This form is convertible to the
closed (S (S (S ...))) form, so it shouldn't be a big deal for
compatibility, except for if some Ltac stuff relies on (S ...) to be
present after parsing. Of course, forcing the computation of
a (Nat.of_uint ....) may take a while or raise a Stack Overflow.
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
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- For instance, refl_equal --> eq_refl
- Npos, Zpos, Zneg now admit more uniform qualified aliases
N.pos, Z.pos, Z.neg.
- A new module BinInt.Pos2Z with results about injections from
positive to Z
- A result about Z.pow pushed in the generic layer
- Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l}
- Using tactic Z.le_elim instead of Zle_lt_or_eq
- Some cleanup in ring, field, micromega
(use of "Equivalence", "Proper" ...)
- Some adaptions in QArith (for instance changed Qpower.Qpower_decomp)
- In ZMake and ZMake, functor parameters are now named NN and ZZ
instead of N and Z for avoiding confusions
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7
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git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15402 85f007b7-540e-0410-9357-904b9bb8a0f7
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- Zpow_def, Zpower, Zpow_facts shortened thanks to stuff in BinInt.Z
- The alternative Zpower_alt is now in a separate file Zpow_alt.v,
not loaded by default.
- Some more injection lemmas in Znat (pow, div, mod, quot, rem)
- Btw, added a "square" function in Z, N, Pos, ... (instead of
Zpow_facts.Zsquare).
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14253 85f007b7-540e-0410-9357-904b9bb8a0f7
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Start of a uniform treatment of compare, eqb, leb, ltb:
- We now ensure that they are provided by N,Z,BigZ,BigN,Nat and Pos
- Some generic properties are derived in OrdersFacts.BoolOrderFacts
In BinPos, more work about sub_mask with nice implications
on compare (e.g. simplier proof of lt_trans).
In BinNat/BinPos, for uniformity, compare_antisym is now
(y ?= x) = CompOpp (x ?=y) instead of the symmetrical result.
In BigN / BigZ, eq_bool is now eqb
In BinIntDef, gtb and geb are kept for the moment, but
a comment advise to rather use ltb and leb. Z.div now uses
Z.ltb and Z.leb.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14227 85f007b7-540e-0410-9357-904b9bb8a0f7
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It relies on Z.pos_sub instead of a Pos.compare followed by Pos.sub.
Proofs seem to be quite easy to adapt, via some rewrite Z.pos_sub_spec.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14107 85f007b7-540e-0410-9357-904b9bb8a0f7
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All the functions about Z is now in a separated file BinIntDef,
which is Included in BinInt.Z. This BinInt.Z directly
implements ZAxiomsSig, and instantiates derived properties ZProp.
Note that we refer to Z instead of t inside BinInt.Z,
otherwise ring breaks later on @eq Z.t
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14106 85f007b7-540e-0410-9357-904b9bb8a0f7
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