diff options
Diffstat (limited to 'src/Util/Tactics')
-rw-r--r-- | src/Util/Tactics/BreakMatch.v | 6 | ||||
-rw-r--r-- | src/Util/Tactics/ClearDuplicates.v | 6 | ||||
-rw-r--r-- | src/Util/Tactics/Contains.v | 13 | ||||
-rw-r--r-- | src/Util/Tactics/ConvoyDestruct.v | 33 | ||||
-rw-r--r-- | src/Util/Tactics/DebugPrint.v | 40 | ||||
-rw-r--r-- | src/Util/Tactics/DestructTrivial.v | 6 | ||||
-rw-r--r-- | src/Util/Tactics/ESpecialize.v | 2 | ||||
-rw-r--r-- | src/Util/Tactics/Forward.v | 22 | ||||
-rw-r--r-- | src/Util/Tactics/GetGoal.v | 2 | ||||
-rw-r--r-- | src/Util/Tactics/Not.v | 4 | ||||
-rw-r--r-- | src/Util/Tactics/OnSubterms.v | 6 | ||||
-rw-r--r-- | src/Util/Tactics/Revert.v | 13 | ||||
-rw-r--r-- | src/Util/Tactics/SetEvars.v | 4 | ||||
-rw-r--r-- | src/Util/Tactics/SetoidSubst.v | 35 | ||||
-rw-r--r-- | src/Util/Tactics/SideConditionsBeforeToAfter.v | 22 | ||||
-rw-r--r-- | src/Util/Tactics/SimplifyProjections.v | 32 | ||||
-rw-r--r-- | src/Util/Tactics/SimplifyRepeatedIfs.v | 16 | ||||
-rw-r--r-- | src/Util/Tactics/SubstEvars.v | 4 | ||||
-rw-r--r-- | src/Util/Tactics/Test.v | 3 |
19 files changed, 269 insertions, 0 deletions
diff --git a/src/Util/Tactics/BreakMatch.v b/src/Util/Tactics/BreakMatch.v index 486d3ef92..f03823a92 100644 --- a/src/Util/Tactics/BreakMatch.v +++ b/src/Util/Tactics/BreakMatch.v @@ -117,4 +117,10 @@ Ltac break_innermost_match_step := | appcontext[match _ with _ => _ end] => fail | _ => idtac end). +Ltac break_innermost_match_hyps_step := + break_match_hyps_step ltac:(fun v => lazymatch v with + | appcontext[match _ with _ => _ end] => fail + | _ => idtac + end). Ltac break_innermost_match := repeat break_innermost_match_step. +Ltac break_innermost_match_hyps := repeat break_innermost_match_hyps_step. diff --git a/src/Util/Tactics/ClearDuplicates.v b/src/Util/Tactics/ClearDuplicates.v new file mode 100644 index 000000000..471f9c1a3 --- /dev/null +++ b/src/Util/Tactics/ClearDuplicates.v @@ -0,0 +1,6 @@ +Ltac clear_duplicates_step := + match goal with + | [ H : ?T, H' : ?T |- _ ] => clear H' + | [ H := ?T, H' := ?T |- _ ] => clear H' + end. +Ltac clear_duplicates := repeat clear_duplicates_step. diff --git a/src/Util/Tactics/Contains.v b/src/Util/Tactics/Contains.v new file mode 100644 index 000000000..aa4fddac2 --- /dev/null +++ b/src/Util/Tactics/Contains.v @@ -0,0 +1,13 @@ +(** [contains x expr] succeeds iff [x] appears in [expr] *) +Ltac contains search_for in_term := + idtac; + lazymatch in_term with + | appcontext[search_for] => idtac + end. + +Ltac free_in x y := + idtac; + match y with + | appcontext[x] => fail 1 x "appears in" y + | _ => idtac + end. diff --git a/src/Util/Tactics/ConvoyDestruct.v b/src/Util/Tactics/ConvoyDestruct.v new file mode 100644 index 000000000..5ed556142 --- /dev/null +++ b/src/Util/Tactics/ConvoyDestruct.v @@ -0,0 +1,33 @@ +Require Import Crypto.Util.Tactics.GetGoal. + +(** Destruct the convoy pattern ([match e as x return x = e -> _ with _ => _ end eq_refl] *) +Ltac convoy_destruct_gen T change_in := + let e' := fresh in + let H' := fresh in + match T with + | context G[?f eq_refl] + => match f with + | match ?e with _ => _ end + => pose e as e'; + match f with + | context F[e] + => let F' := context F[e'] in + first [ pose (eq_refl : e = e') as H'; + let G' := context G[F' H'] in + change_in G'; + clearbody H' e' + | pose (eq_refl : e' = e) as H'; + let G' := context G[F' H'] in + change_in G'; + clearbody H' e' ] + end + end; + destruct e' + end. + +Ltac convoy_destruct_in H := + let T := type of H in + convoy_destruct_gen T ltac:(fun T' => change T' in H). +Ltac convoy_destruct := + let T := get_goal in + convoy_destruct_gen T ltac:(fun T' => change T'). diff --git a/src/Util/Tactics/DebugPrint.v b/src/Util/Tactics/DebugPrint.v new file mode 100644 index 000000000..e1650f170 --- /dev/null +++ b/src/Util/Tactics/DebugPrint.v @@ -0,0 +1,40 @@ +Ltac debuglevel := constr:(0%nat). + +Ltac solve_debugfail tac := + solve [tac] || + ( let dbg := debuglevel in + match dbg with + | O => idtac + | _ => match goal with |- ?G => idtac "couldn't prove" G end + end; + fail). + +(** constr-based [idtac] *) +Class cidtac {T} (msg : T) := Build_cidtac : True. +Hint Extern 0 (cidtac ?msg) => idtac msg; exact I : typeclass_instances. +(** constr-based [idtac] *) +Class cidtac2 {T1 T2} (msg1 : T1) (msg2 : T2) := Build_cidtac2 : True. +Hint Extern 0 (cidtac2 ?msg1 ?msg2) => idtac msg1 msg2; exact I : typeclass_instances. +Class cidtac3 {T1 T2 T3} (msg1 : T1) (msg2 : T2) (msg3 : T3) := Build_cidtac3 : True. +Hint Extern 0 (cidtac3 ?msg1 ?msg2 ?msg3) => idtac msg1 msg2 msg3; exact I : typeclass_instances. + +Class cfail {T} (msg : T) := Build_cfail : True. +Hint Extern 0 (cfail ?msg) => idtac "Error:" msg; exact I : typeclass_instances. +Class cfail2 {T1 T2} (msg1 : T1) (msg2 : T2) := Build_cfail2 : True. +Hint Extern 0 (cfail2 ?msg1 ?msg2) => idtac "Error:" msg1 msg2; exact I : typeclass_instances. +Class cfail3 {T1 T2 T3} (msg1 : T1) (msg2 : T2) (msg3 : T3) := Build_cfail3 : True. +Hint Extern 0 (cfail3 ?msg1 ?msg2 ?msg3) => idtac "Error:" msg1 msg2 msg3; exact I : typeclass_instances. + +Ltac cidtac msg := constr:(_ : cidtac msg). +Ltac cidtac2 msg1 msg2 := constr:(_ : cidtac2 msg1 msg2). +Ltac cidtac3 msg1 msg2 msg3 := constr:(_ : cidtac2 msg1 msg2 msg3). +Ltac cfail msg := let dummy := constr:(_ : cfail msg) in constr:(I : I). +Ltac cfail2 msg1 msg2 := let dummy := constr:(_ : cfail2 msg1 msg2) in constr:(I : I). +Ltac cfail3 msg1 msg2 msg3 := let dummy := constr:(_ : cfail2 msg1 msg2 msg3) in constr:(I : I). + +Ltac idtac_goal := lazymatch goal with |- ?G => idtac "Goal:" G end. +Ltac idtac_context := + try (repeat match goal with H : _ |- _ => revert H end; + idtac_goal; + lazymatch goal with |- ?G => idtac "Context:" G end; + fail). diff --git a/src/Util/Tactics/DestructTrivial.v b/src/Util/Tactics/DestructTrivial.v new file mode 100644 index 000000000..716e953fb --- /dev/null +++ b/src/Util/Tactics/DestructTrivial.v @@ -0,0 +1,6 @@ +Ltac destruct_trivial_step := + match goal with + | [ H : unit |- _ ] => clear H || destruct H + | [ H : True |- _ ] => clear H || destruct H + end. +Ltac destruct_trivial := repeat destruct_trivial_step. diff --git a/src/Util/Tactics/ESpecialize.v b/src/Util/Tactics/ESpecialize.v new file mode 100644 index 000000000..288bc8607 --- /dev/null +++ b/src/Util/Tactics/ESpecialize.v @@ -0,0 +1,2 @@ +(** Like [specialize] but allows holes that get filled with evars. *) +Tactic Notation "especialize" open_constr(H) := specialize H. diff --git a/src/Util/Tactics/Forward.v b/src/Util/Tactics/Forward.v new file mode 100644 index 000000000..63ac6ef38 --- /dev/null +++ b/src/Util/Tactics/Forward.v @@ -0,0 +1,22 @@ +(** [forward H] specializes non-dependent binders in a hypothesis [H] + with side-conditions. Side-conditions come after the main goal, + like with [replace] and [rewrite]. + + [eforward H] is like [forward H], but also specializes dependent + binders with evars. + + Both tactics do nothing on hypotheses they cannot handle. *) +Ltac forward_step H := + match type of H with + | ?A -> ?B => let a := fresh in cut A; [ intro a; specialize (H a); clear a | ] + end. +Ltac eforward_step H := + match type of H with + | _ => forward_step H + | forall x : ?A, _ + => let x_or_fresh := fresh x in + evar (x_or_fresh : A); + specialize (H x_or_fresh); subst x_or_fresh + end. +Ltac forward H := try (forward_step H; [ forward H | .. ]). +Ltac eforward H := try (eforward_step H; [ eforward H | .. ]). diff --git a/src/Util/Tactics/GetGoal.v b/src/Util/Tactics/GetGoal.v new file mode 100644 index 000000000..2d99ca31e --- /dev/null +++ b/src/Util/Tactics/GetGoal.v @@ -0,0 +1,2 @@ +Ltac get_goal := + match goal with |- ?G => G end. diff --git a/src/Util/Tactics/Not.v b/src/Util/Tactics/Not.v new file mode 100644 index 000000000..09985ad73 --- /dev/null +++ b/src/Util/Tactics/Not.v @@ -0,0 +1,4 @@ +Require Import Crypto.Util.Tactics.Test. + +(** [not tac] is equivalent to [fail tac "succeeds"] if [tac] succeeds, and is equivalent to [idtac] if [tac] fails *) +Tactic Notation "not" tactic3(tac) := try ((test tac); fail 1 tac "succeeds"). diff --git a/src/Util/Tactics/OnSubterms.v b/src/Util/Tactics/OnSubterms.v new file mode 100644 index 000000000..0aabf80c8 --- /dev/null +++ b/src/Util/Tactics/OnSubterms.v @@ -0,0 +1,6 @@ +(** Execute [progress tac] on all subterms of the goal. Useful for things like [ring_simplify]. *) +Ltac tac_on_subterms tac := + repeat match goal with + | [ |- context[?t] ] + => progress tac t + end. diff --git a/src/Util/Tactics/Revert.v b/src/Util/Tactics/Revert.v new file mode 100644 index 000000000..5f549025d --- /dev/null +++ b/src/Util/Tactics/Revert.v @@ -0,0 +1,13 @@ +(** Like [Coq.Program.Tactics.revert_last], but only for non-dependent hypotheses *) +Ltac revert_last_nondep := + match goal with + | [ H : _ |- _ ] + => lazymatch goal with + | [ H' : appcontext[H] |- _ ] => fail + | [ |- appcontext[H] ] => fail + | _ => idtac + end; + revert H + end. + +Ltac reverse_nondep := repeat revert_last_nondep. diff --git a/src/Util/Tactics/SetEvars.v b/src/Util/Tactics/SetEvars.v new file mode 100644 index 000000000..471d61f60 --- /dev/null +++ b/src/Util/Tactics/SetEvars.v @@ -0,0 +1,4 @@ +Ltac set_evars := + repeat match goal with + | [ |- appcontext[?E] ] => is_evar E; let e := fresh "e" in set (e := E) + end. diff --git a/src/Util/Tactics/SetoidSubst.v b/src/Util/Tactics/SetoidSubst.v new file mode 100644 index 000000000..4ccf910ed --- /dev/null +++ b/src/Util/Tactics/SetoidSubst.v @@ -0,0 +1,35 @@ +Require Import Crypto.Util.Tactics.Contains. + +Ltac setoid_subst'' R x := + is_var x; + match goal with + | [ H : R x ?y |- _ ] + => free_in x y; rewrite ?H in *; clear x H + | [ H : R ?y x |- _ ] + => free_in x y; rewrite <- ?H in *; clear x H + end. + +Ltac setoid_subst' x := + is_var x; + match goal with + | [ H : ?R x _ |- _ ] => setoid_subst'' R x + | [ H : ?R _ x |- _ ] => setoid_subst'' R x + end. + +Ltac setoid_subst_rel' R := + idtac; + match goal with + | [ H : R ?x _ |- _ ] => setoid_subst'' R x + | [ H : R _ ?x |- _ ] => setoid_subst'' R x + end. + +Ltac setoid_subst_rel R := repeat setoid_subst_rel' R. + +Ltac setoid_subst_all := + repeat match goal with + | [ H : ?R ?x ?y |- _ ] => is_var x; setoid_subst'' R x + | [ H : ?R ?x ?y |- _ ] => is_var y; setoid_subst'' R y + end. + +Tactic Notation "setoid_subst" ident(x) := setoid_subst' x. +Tactic Notation "setoid_subst" := setoid_subst_all. diff --git a/src/Util/Tactics/SideConditionsBeforeToAfter.v b/src/Util/Tactics/SideConditionsBeforeToAfter.v new file mode 100644 index 000000000..0067d53f5 --- /dev/null +++ b/src/Util/Tactics/SideConditionsBeforeToAfter.v @@ -0,0 +1,22 @@ +(** If [tac_in H] operates in [H] and leaves side-conditions before + the original goal, then + [side_conditions_before_to_side_conditions_after tac_in H] does + the same thing to [H], but leaves side-conditions after the + original goal. *) +Ltac side_conditions_before_to_side_conditions_after tac_in H := + let HT := type of H in + let HTT := type of HT in + let H' := fresh in + rename H into H'; + let HT' := fresh in + evar (HT' : HTT); + cut HT'; + [ subst HT'; intro H + | tac_in H'; + [ .. + | subst HT'; eexact H' ] ]; + instantiate; (* required in 8.4 for the [move] to succeed, because evar dependencies *) + [ (* We preserve the order of the hypotheses. We need to do this + here, after evars are instantiated, and not above. *) + move H after H'; clear H' + | .. ]. diff --git a/src/Util/Tactics/SimplifyProjections.v b/src/Util/Tactics/SimplifyProjections.v new file mode 100644 index 000000000..f9b319057 --- /dev/null +++ b/src/Util/Tactics/SimplifyProjections.v @@ -0,0 +1,32 @@ +(** [simplify_projections] reduces terms of the form [fst (_, _)] (for + any projection from [prod], [sig], [sigT], or [and]) *) +Ltac pre_simplify_projection proj proj' uproj' := + pose proj as proj'; + pose proj as uproj'; + unfold proj in uproj'; + change proj with proj'. +Ltac do_simplify_projection_2Targ_4carg_step proj proj' uproj' construct := + change proj' with uproj' at 1; + lazymatch goal with + | [ |- appcontext[uproj' _ _ (construct _ _ _ _)] ] + => cbv beta iota delta [uproj'] + | _ => change uproj' with proj + end. +Ltac do_simplify_projection_2Targ_4carg proj proj' uproj' construct := + repeat do_simplify_projection_2Targ_4carg_step proj proj' uproj' construct. +Ltac simplify_projection_2Targ_4carg proj construct := + let proj' := fresh "proj" in + let uproj' := fresh "proj" in + pre_simplify_projection proj proj' uproj'; + do_simplify_projection_2Targ_4carg proj proj' uproj' construct; + clear proj' uproj'. + +Ltac simplify_projections := + repeat (simplify_projection_2Targ_4carg @fst @pair + || simplify_projection_2Targ_4carg @snd @pair + || simplify_projection_2Targ_4carg @proj1_sig @exist + || simplify_projection_2Targ_4carg @proj2_sig @exist + || simplify_projection_2Targ_4carg @projT1 @existT + || simplify_projection_2Targ_4carg @projT2 @existT + || simplify_projection_2Targ_4carg @proj1 @conj + || simplify_projection_2Targ_4carg @proj2 @conj). diff --git a/src/Util/Tactics/SimplifyRepeatedIfs.v b/src/Util/Tactics/SimplifyRepeatedIfs.v new file mode 100644 index 000000000..54d79ee48 --- /dev/null +++ b/src/Util/Tactics/SimplifyRepeatedIfs.v @@ -0,0 +1,16 @@ +Ltac simplify_repeated_ifs_step := + match goal with + | [ |- context G[if ?b then ?x else ?y] ] + => let x' := match x with + | context x'[b] => let x'' := context x'[true] in x'' + end in + let G' := context G[if b then x' else y] in + cut G'; [ destruct b; exact (fun z => z) | cbv iota ] + | [ |- context G[if ?b then ?x else ?y] ] + => let y' := match y with + | context y'[b] => let y'' := context y'[false] in y'' + end in + let G' := context G[if b then x else y'] in + cut G'; [ destruct b; exact (fun z => z) | cbv iota ] + end. +Ltac simplify_repeated_ifs := repeat simplify_repeated_ifs_step. diff --git a/src/Util/Tactics/SubstEvars.v b/src/Util/Tactics/SubstEvars.v new file mode 100644 index 000000000..5e1765c2f --- /dev/null +++ b/src/Util/Tactics/SubstEvars.v @@ -0,0 +1,4 @@ +Ltac subst_evars := + repeat match goal with + | [ e := ?E |- _ ] => is_evar E; subst e + end. diff --git a/src/Util/Tactics/Test.v b/src/Util/Tactics/Test.v new file mode 100644 index 000000000..63529bbfc --- /dev/null +++ b/src/Util/Tactics/Test.v @@ -0,0 +1,3 @@ +(** Test if a tactic succeeds, but always roll-back the results *) +Tactic Notation "test" tactic3(tac) := + try (first [ tac | fail 2 tac "does not succeed" ]; fail 0 tac "succeeds"; [](* test for [t] solved all goals *)). |