Repair interpretation of numeral for BigQ, add a printer (close #2160)

 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

2 files changed, 102 insertions, 0 deletions

diff --git a/test-suite/output/NumbersSyntax.out b/test-suite/output/NumbersSyntax.out
new file mode 100644
index 000000000..1a8f4eff1
--- /dev/null
+++ b/test-suite/output/NumbersSyntax.out
@@ -0,0 +1,56 @@
+I31
+     : digits31 int31
+2
+     : int31
+660865024
+     : int31
+2 + 2
+     : int31
+2 + 2
+     : int31
+     = 4
+     : int31
+     = 710436486
+     : int31
+2
+     : BigN.t_
+1000000000000000000
+     : BigN.t_
+2 + 2
+     : BigN.t_
+2 + 2
+     : BigN.t_
+     = 4
+     : BigN.t_
+     = 37151199385380486
+     : BigN.t_
+2
+     : BigZ.t_
+-1000000000000000000
+     : BigZ.t_
+2 + 2
+     : BigZ.t_
+2 + 2
+     : BigZ.t_
+     = 4
+     : BigZ.t_
+     = 37151199385380486
+     : BigZ.t_
+2
+     : BigQ.t_
+-1000000000000000000
+     : BigQ.t_
+2 + 2
+     : bigQ
+2 + 2
+     : bigQ
+     = 4
+     : bigQ
+     = 37151199385380486
+     : bigQ
+BigQ.Qq 6562%bigZ 456%bigN
+     : BigQ.t_
+     = BigQ.Qq 3281%bigZ 228%bigN
+     : bigQ
+     = BigQ.Qq 1%bigZ 10000%bigN
+     : bigQ
diff --git a/test-suite/output/NumbersSyntax.v b/test-suite/output/NumbersSyntax.v
new file mode 100644
index 000000000..3f6a40bcb
--- /dev/null
+++ b/test-suite/output/NumbersSyntax.v
@@ -0,0 +1,46 @@
+
+Require Import BigQ.
+
+Open Scope int31_scope.
+Check I31. (* Would be nice to have I31 : digits->digits->...->int31
+              For the moment, I31 : digits31 int31, which is better
+	      than (fix nfun .....) size int31 *)
+Check 2.
+Check 1000000000000000000. (* = 660865024, after modulo 2^31 *)
+Check (add31 2 2).
+Check (2+2).
+Eval compute in 2+2.
+Eval compute in 65675757 * 565675998.
+Close Scope int31_scope.
+
+Open Scope bigN_scope.
+Check 2.
+Check 1000000000000000000.
+Check (BigN.add 2 2).
+Check (2+2).
+Eval compute in 2+2.
+Eval compute in 65675757 * 565675998.
+Close Scope bigN_scope.
+
+Open Scope bigZ_scope.
+Check 2.
+Check -1000000000000000000.
+Check (BigZ.add 2 2).
+Check (2+2).
+Eval compute in 2+2.
+Eval compute in 65675757 * 565675998.
+Close Scope bigN_scope.
+
+Open Scope bigQ_scope.
+Check 2.
+Check -1000000000000000000.
+Check (BigQ.add 2 2).
+Check (2+2).
+Eval compute in 2+2.
+Eval compute in 65675757 * 565675998.
+(* fractions *)
+Check (BigQ.Qq 6562%bigZ 456%bigN).
+ (* Having to say %bigZ and %bigN is a BUG! *)
+Eval compute in (BigQ.red (BigQ.Qq 6562%bigZ 456%bigN)).
+Eval compute in (1/10000).
+Close Scope bigQ_scope.