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+
+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 vm_compute in 2+2.
+Eval vm_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 vm_compute in 2+2.
+Eval vm_compute in 65675757 * 565675998.
+Eval vm_compute in 2^100.
+Close Scope bigN_scope.
+
+Open Scope bigZ_scope.
+Check 2.
+Check -1000000000000000000.
+Check (BigZ.add 2 2).
+Check (2+2).
+Eval vm_compute in 2+2.
+Eval vm_compute in 65675757 * 565675998.
+Eval vm_compute in (-2)^100.
+Close Scope bigZ_scope.
+
+Open Scope bigQ_scope.
+Check 2.
+Check -1000000000000000000.
+Check (BigQ.add 2 2).
+Check (2+2).
+Eval vm_compute in 2+2.
+Eval vm_compute in 65675757 * 565675998.
+(* fractions *)
+Check (6562 # 456). (* Nota: # is BigQ.Qq i.e. base fractions *)
+Eval vm_compute in (BigQ.red (6562 # 456)).
+Eval vm_compute in (1/-10000).
+Eval vm_compute in (BigQ.red (1/(1/100))). (* back to integers... *)
+Eval vm_compute in ((2/3)^(-100)).
+Eval vm_compute in BigQ.red ((2/3)^(-1000) * (2/3)^(1000)).
+Close Scope bigQ_scope.