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* Numbers: BigN and BigZ get instantiations of all properties about div and modGravatar letouzey2010-01-08
| | | | | | | | | NB: for declaring div and mod as a morphism, even when divisor is zero, I've slightly changed the definition of div_eucl: it now starts by a check of whether the divisor is zero. Not very nice, but this way we can say that BigN.div and BigZ.div _always_ answer like Zdiv.Zdiv. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12646 85f007b7-540e-0410-9357-904b9bb8a0f7
* BigQ / BigN / BigZ syntax and scope improvements (sequel to 12504)Gravatar letouzey2009-11-12
| | | | | | | | | | | | | | | | | | | | | | | - In fact, Bind Scope has no retrospective effect. Since we don't want it inside functor, we use it late, and hence we are forced to use manual "Arguments Scope" commands. - Added syntax for power in BigN / BigZ / BigQ. - Added syntax p#q in BigQ for representing fractions (constructor BigQ.Qq) as in QArith. Display of a rational numeral is hence either an integer (constructor BigQ.Qz) or something like 6756 # 8798. - Fix of function BigQ.Qred that was not simplifing (67#1) into 67. - More tests in test-suite/output/NumbersSyntax.v A nice one not in the test-suite: Time Eval vm_compute in BigQ.red ((2/3)^(-100000) * (2/3)^(100000)). = 1 : bigQ Finished transaction in 3. secs (3.284206u,0.004s) :-) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12507 85f007b7-540e-0410-9357-904b9bb8a0f7
* Repair interpretation of numeral for BigQ, add a printer (close #2160)Gravatar letouzey2009-11-12
| | | | | | | | | | | | | | | on the way: - Added a testsuite output file - Try to avoid nasty unfolding (fix nfun ...) in type of I31. Idealy we would need a "Eval compute in" for the type of a inductive constructor - Stop opening Scopes for BigQ, BigN, BigZ by default The user should do some Open Scope. TODO: there's a bug that prevent BigQ.opp to have arg in bigQ_scope (and so on for other operations), even with some Bind Scope around. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12504 85f007b7-540e-0410-9357-904b9bb8a0f7
* Simplification of Numbers, mainly thanks to IncludeGravatar letouzey2009-11-10
| | | | | | | | | | | | | | | | | - No more nesting of Module and Module Type, we rather use Include. - Instead of in-name-qualification like NZeq, we use uniform short names + modular qualification like N.eq when necessary. - Many simplification of proofs, by some autorewrite for instance - In NZOrder, we instantiate an "order" tactic. - Some requirements in NZAxioms were superfluous: compatibility of le, min and max could be derived from the rest. - NMul removed, since it was containing only an ad-hoc result for ZNatPairs, that we've inlined in the proof of mul_wd there. - Zdomain removed (was already not compiled), idea of a module with eq and eqb reused in DecidableType.BooleanEqualityType. - ZBinDefs don't contain any definition now, migrate it to ZBinary. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@12489 85f007b7-540e-0410-9357-904b9bb8a0f7
* Add user syntax for creating hint databases [Create HintDb fooGravatar msozeau2008-09-14
| | | | | | | | | | | | [discriminated]] with a switch for using the more experimantal dnet impl for every hint. Also add [Hint Transparent/Opaque] which parameterize the dnet and the unification flags used by auto/eauto with a particular database. Document all this. Remove [Typeclasses unfold] directives that are no longer needed (everything is unfoldable by default) and move to [Typeclasses Transparent/Opaque] syntax. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11409 85f007b7-540e-0410-9357-904b9bb8a0f7
* Fix bug #1899: no more strange notations for Qge and QgtGravatar letouzey2008-07-04
| | | | | | | | | | | | | | In fact, Qge and Ggt disappear, and we only leave notations for > and >= that map directly to Qlt and Qle. We also adopt the same approach for BigN, BigZ, BigQ. By the way, various clean-up concerning Zeq_bool, Zle_bool and similar functions for Q. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11205 85f007b7-540e-0410-9357-904b9bb8a0f7
* Enhanced discrimination nets implementation, which can now work withGravatar msozeau2008-06-27
| | | | | | | | | | | | | | | | | goals containing existentials and use transparency information on constants (optionally). Only used by the typeclasses eauto engine for now, but could be used for other hint bases easily (just switch a boolean). Had to add a new "creation" hint to be able to set said boolean upon creation of the typeclass_instances hint db. Improve the proof-search algorithm for Morphism, up to 10 seconds gained in e.g. Field_theory, Ring_polynom. Added a morphism declaration for [compose]. One needs to declare more constants as being unfoldable using the [Typeclasses unfold] command so that discrimination is done correctly, but that amounts to only 6 declarations in the standard library. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11184 85f007b7-540e-0410-9357-904b9bb8a0f7
* In abstract parts of theories/Numbers, plus/times becomes add/mul, Gravatar letouzey2008-06-03
| | | | | | | | | | for increased consistency with bignums parts (commit part II: names of files + additional translation minus --> sub) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11040 85f007b7-540e-0410-9357-904b9bb8a0f7
* In abstract parts of theories/Numbers, plus/times becomes add/mul, Gravatar letouzey2008-06-02
| | | | | | | | | | for increased consistency with bignums parts (commit part I: content of files) git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11039 85f007b7-540e-0410-9357-904b9bb8a0f7
* Enhance the BigN and BigZ infrastructure: Gravatar letouzey2008-06-01
| | | | | | | | | | | | | | | | | | | | | | * Isolate and put forward the interfaces NSig and ZSig that describe what should contain structures of natural numbers and integers (specs are done by translation to ZArith). * Functors NSigNAxioms and ZSigZAxioms proving that these NSig and ZSig implements the fully-abstract NAxioms and ZAxioms module types. * BigN and BigZ now contains more notations, plus an export of all abstract results proved by Evgeny instantiated thanks to NSigNAxioms and ZSigZAxioms. In addition, BigN and BigZ are declared as (semi/full)-rings. * as a consequence, some incompatibities have to be fixed in BigQ: - take care of some name masking (via Import, Open Scope ...) - some additionnal constants like BigN.lt to deal with git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11027 85f007b7-540e-0410-9357-904b9bb8a0f7
* Filename ZnZ (or Z_nZ in a later attempt) is neither pretty nor accurateGravatar letouzey2008-05-16
| | | | | | | | | | | (n _must_ in fact be a power of 2). Worse: Z_31Z is just plain wrong since it is Z/(2^31)Z and not Z/31Z (my fault). As a consequence, switch to CyclicAxioms, Cyclic31, DoubleCyclic, etc git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10940 85f007b7-540e-0410-9357-904b9bb8a0f7
* BigNum: more reorganization, mainly moves GenXYZ to DoubleXYZGravatar letouzey2008-05-16
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10939 85f007b7-540e-0410-9357-904b9bb8a0f7
* More BigNum cleanup: Gravatar letouzey2008-05-16
| | | | | | | | | | | * View of Int31 as a Z/nZ moved to file Z31Z.v (TO FINISH: specs are still admitted!) * Modular specification of Z/nZ moved to ZnZ and renamed CyclicType * More isolation between Cyclic/Abstract and Cyclic/DoubleCyclic * A few comments git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10936 85f007b7-540e-0410-9357-904b9bb8a0f7
* Coq headers + $ in theories/Numbers filesGravatar letouzey2008-05-15
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10934 85f007b7-540e-0410-9357-904b9bb8a0f7
* Integration of theories/Ints into theories/Numbers, part 1: moving filesGravatar letouzey2008-05-07
For the moment, the Ints files are simply moved into directories in theories/Numbers with meaningful names. No filenames changed, apart from: Zaux.v -> theories/Numbers/BigNumPrelude.v MemoFn.v -> theories/Lists/StreamMemo.v More to come... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10899 85f007b7-540e-0410-9357-904b9bb8a0f7