diff options
Diffstat (limited to 'theories/Numbers/Cyclic/Int31/Int31.v')
| -rw-r--r-- | theories/Numbers/Cyclic/Int31/Int31.v | 15 |
1 files changed, 13 insertions, 2 deletions
diff --git a/theories/Numbers/Cyclic/Int31/Int31.v b/theories/Numbers/Cyclic/Int31/Int31.v index 73f2816a..4e28b5b9 100644 --- a/theories/Numbers/Cyclic/Int31/Int31.v +++ b/theories/Numbers/Cyclic/Int31/Int31.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -335,6 +335,11 @@ Definition addmuldiv31 p i j := in res. +(** Bitwise operations *) + +Definition lor31 n m := phi_inv (Z.lor (phi n) (phi m)). +Definition land31 n m := phi_inv (Z.land (phi n) (phi m)). +Definition lxor31 n m := phi_inv (Z.lxor (phi n) (phi m)). Register add31 as int31 plus in "coq_int31" by True. Register add31c as int31 plusc in "coq_int31" by True. @@ -345,9 +350,15 @@ Register sub31carryc as int31 minuscarryc in "coq_int31" by True. Register mul31 as int31 times in "coq_int31" by True. Register mul31c as int31 timesc in "coq_int31" by True. Register div3121 as int31 div21 in "coq_int31" by True. -Register div31 as int31 div in "coq_int31" by True. +Register div31 as int31 diveucl in "coq_int31" by True. Register compare31 as int31 compare in "coq_int31" by True. Register addmuldiv31 as int31 addmuldiv in "coq_int31" by True. +Register lor31 as int31 lor in "coq_int31" by True. +Register land31 as int31 land in "coq_int31" by True. +Register lxor31 as int31 lxor in "coq_int31" by True. + +Definition lnot31 n := lxor31 Tn n. +Definition ldiff31 n m := land31 n (lnot31 m). Fixpoint euler (guard:nat) (i j:int31) {struct guard} := match guard with |