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-Require Import Coq.ZArith.ZArith.
-Require Import Coq.Lists.List.
-Local Open Scope Z_scope.
-
-Require Import Crypto.Arithmetic.Core.
-Require Import Crypto.Util.FixedWordSizes.
-Require Import Crypto.Arithmetic.MontgomeryReduction.WordByWord.Definition.
-Require Import Crypto.Arithmetic.Core. Import B.
-Require Crypto.Arithmetic.Saturated.MontgomeryAPI.
-Require Import Crypto.Arithmetic.Saturated.UniformWeight.
-Require Import Crypto.Specific.MontgomeryP256_128.
-Require Import Crypto.Arithmetic.PrimeFieldTheorems.
-Require Import Crypto.Util.Tuple Crypto.Util.Sigma Crypto.Util.Sigma.MapProjections Crypto.Util.Sigma.Lift Crypto.Util.Notations Crypto.Util.ZRange Crypto.Util.BoundedWord.
-Require Import Crypto.Util.Tactics.Head.
-Require Import Crypto.Util.Tactics.MoveLetIn.
-Require Import Crypto.Util.Tactics.DestructHead.
-Require Import Crypto.Util.ZUtil.Tactics.LtbToLt.
-Import ListNotations.
-
-Require Import Crypto.Specific.Framework.IntegrationTestTemporaryMiscCommon.
-
-Require Import Crypto.Compilers.Z.Bounds.Pipeline.
-
-Section BoundedField25p5.
- Local Coercion Z.of_nat : nat >-> Z.
-
- Let bound1 : zrange
- := Eval compute in
- {| lower := 0 ; upper := r-1 |}.
- Let bounds : Tuple.tuple zrange sz
- := Eval compute in
- Tuple.repeat bound1 sz.
-
- Let lgbitwidth := Eval compute in (Z.to_nat (Z.log2_up (Z.log2_up r))).
- Let bitwidth := Eval compute in (2^lgbitwidth)%nat.
- Let feZ : Type := tuple Z sz.
- Let feW : Type := tuple (wordT lgbitwidth) sz.
- Let feBW : Type := BoundedWord sz bitwidth bounds.
- Let eval : feBW -> Z :=
- fun x => MontgomeryAPI.eval (Z.pos r) (BoundedWordToZ _ _ _ x).
- Let feBW_small : Type := { v : feBW | eval v < MontgomeryAPI.eval (n:=sz) (Z.pos r) p256 }.
- Let feBW_of_feBW_small : feBW_small -> feBW := @proj1_sig _ _.
- Local Coercion feBW_of_feBW_small : feBW_small >-> feBW.
- Let phi : feBW -> F m :=
- fun x => montgomery_to_F (eval x).
-
- Local Ltac op_sig_side_conditions_t _ :=
- try (hnf; rewrite <- (is_bounded_by_None_repeat_In_iff_lt _ _ _)); destruct_head_hnf' sig; try assumption.
-
- (* TODO : change this to field once field isomorphism happens *)
- Definition nonzero
- : { nonzero : feBW_small -> BoundedWord 1 bitwidth bound1
- | forall A, (BoundedWordToZ _ _ _ (nonzero A) =? 0) = (if Decidable.dec (phi A = F.of_Z m 0) then true else false) }.
- Proof.
- apply_lift_sig; intros; eexists_sig_etransitivity.
- all:cbv [feBW_of_feBW_small phi eval].
- refine (_ : (if Decidable.dec (_ = 0) then true else false) = _).
- lazymatch goal with
- | [ |- (if Decidable.dec ?x then _ else _) = (if Decidable.dec ?y then _ else _) ]
- => cut (x <-> y);
- [ destruct (Decidable.dec x), (Decidable.dec y); try reflexivity; intros [? ?];
- generalize dependent x; generalize dependent y; solve [ intuition congruence ]
- | ]
- end.
- etransitivity; [ | eapply (proj2_sig nonzero) ];
- [ | solve [ op_sig_side_conditions_t () ].. ].
- reflexivity.
- let decP := lazymatch goal with |- { c | _ = if Decidable.dec (?decP = 0) then _ else _ } => decP end in
- apply (@proj2_sig_map _ (fun c => BoundedWordToZ 1 _ _ c = decP) _).
- { intros a' H'; rewrite H'.
- let H := fresh in
- lazymatch goal with |- context[Decidable.dec ?x] => destruct (Decidable.dec x) as [H|H]; try rewrite H end.
- { reflexivity. }
- { let H := fresh in
- lazymatch goal with |- context[?x =? 0] => destruct (x =? 0) eqn:? end;
- try reflexivity.
- Z.ltb_to_lt; congruence. } }
- eexists_sig_etransitivity.
- do_set_sig nonzero.
- cbv_runtime.
- reflexivity.
- sig_dlet_in_rhs_to_context.
- cbv [proj1_sig].
- match goal with
- | [ H : feBW_small |- _ ] => destruct H as [? _]
- end.
- (* jgross start here! *)
- Set Ltac Profiling.
- (* Set Ltac Profiling.
- Print Ltac ReflectiveTactics.solve_side_conditions.
- Ltac ReflectiveTactics.solve_side_conditions ::= idtac.
- Time refine_reflectively128_with_uint8_with anf. (* Finished transaction in 212.693 secs (212.576u,0.184s) (successful) *)
- { Time ReflectiveTactics.do_reify. }
- { Time UnifyAbstractReflexivity.unify_abstract_vm_compute_rhs_reflexivity. }
- { Time UnifyAbstractReflexivity.unify_abstract_vm_compute_rhs_reflexivity. }
- { Time UnifyAbstractReflexivity.unify_abstract_vm_compute_rhs_reflexivity. }
- { Require Import CNotations.
- Time UnifyAbstractReflexivity.unify_abstract_vm_compute_rhs_reflexivity. }
- { Time UnifyAbstractReflexivity.unify_abstract_vm_compute_rhs_reflexivity. }
- { Time UnifyAbstractReflexivity.unify_abstract_rhs_reflexivity. }
- { Time ReflectiveTactics.unify_abstract_renamify_rhs_reflexivity. }
- { Time SubstLet.subst_let; clear; abstract vm_cast_no_check eq_refl. }
- { Time SubstLet.subst_let; clear; vm_compute; reflexivity. }
- { Time UnifyAbstractReflexivity.unify_abstract_compute_rhs_reflexivity. }
- { Time ReflectiveTactics.unify_abstract_cbv_interp_rhs_reflexivity. }
- { Time abstract ReflectiveTactics.handle_bounds_from_hyps. }
- { Time ReflectiveTactics.handle_boundedness_side_condition. } *)
- Time refine_reflectively128_with_uint8_with anf. (* Finished transaction in 212.693 secs (212.576u,0.184s) (successful) *)
- Show Ltac Profile.
- Time Defined. (* Finished transaction in 21.291 secs (21.231u,0.032s) (successful) *)
-
-Time End BoundedField25p5. (* Finished transaction in 14.666 secs (14.556u,0.111s) (successful) *)
-
-Print Assumptions nonzero.