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diff --git a/src/Arithmetic/CoreUnfolder.v b/src/Arithmetic/CoreUnfolder.v
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-Require Import Coq.ZArith.ZArith.
-Require Import Crypto.Util.LetIn.
-Require Import Crypto.Util.ZUtil.Definitions.
-Require Import Crypto.Util.ZUtil.CPS.
-Require Import Crypto.Util.IdfunWithAlt.
-Require Import Crypto.Util.CPSUtil.
-Require Import Crypto.Arithmetic.Core.
-Require Import Crypto.Util.Tactics.VM.
-
-Create HintDb arithmetic_cps_unfolder.
-
-Hint Unfold Core.div Core.modulo : arithmetic_cps_unfolder.
-
-Ltac make_parameterized_sig t :=
- refine (_ : { v : _ | v = t });
- eexists; cbv delta [t
- Core.B.Positional.chained_carries_reduce_cps_step
- B.limb ListUtil.sum ListUtil.sum_firstn
- CPSUtil.Tuple.mapi_with_cps CPSUtil.Tuple.mapi_with'_cps CPSUtil.flat_map_cps CPSUtil.on_tuple_cps CPSUtil.fold_right_cps2
- Decidable.dec Decidable.dec_eq_Z
- id_tuple_with_alt id_tuple'_with_alt id_tuple_with_alt_cps'
- Z.add_get_carry_full Z.mul_split
- Z.add_get_carry_full_cps Z.mul_split_cps Z.mul_split_cps'
- Z.add_get_carry_cps];
- repeat autorewrite with pattern_runtime;
- reflexivity.
-
-Notation parameterize_sig t := ltac:(let v := constr:(t) in make_parameterized_sig v) (only parsing).
-
-Ltac make_parameterized_from_sig t_sig :=
- let t := (eval cbv [proj1_sig t_sig] in (proj1_sig t_sig)) in
- let t := pattern_strip t in
- exact t.
-
-Notation parameterize_from_sig t := ltac:(let v := constr:(t) in make_parameterized_from_sig v) (only parsing).
-
-Ltac make_parameterized_eq t t_sig :=
- let t := apply_patterned t in
- exact (proj2_sig t_sig : t = _).
-
-Notation parameterize_eq t t_sig := ltac:(let v := constr:(t) in let v_sig := t_sig in make_parameterized_eq v v_sig) (only parsing).
-
-Ltac basesystem_partial_evaluation_RHS_fast :=
- repeat autorewrite with pattern_runtime;
- let t := match goal with |- _ _ ?t => t end in
- let t := pattern_strip t in
- let t1 := fresh "t1" in
- pose t as t1;
- let t1' := apply_patterned t1 in
- transitivity t1';
- [replace_with_vm_compute t1; clear t1|reflexivity].
-
-Module B.
- Module Associational.
- (**
-<<
-#!/bin/bash
-for i in eval multerm mul_cps mul split_cps split reduce_cps reduce negate_snd_cps negate_snd carryterm_cps carryterm carry_cps carry; do
- echo " Definition ${i}_sig := parameterize_sig (@Core.B.Associational.${i}).";
- echo " Definition ${i} := parameterize_from_sig ${i}_sig.";
- echo " Definition ${i}_eq := parameterize_eq ${i} ${i}_sig.";
- echo " Hint Unfold ${i} : basesystem_partial_evaluation_unfolder.";
- echo " Hint Rewrite <- ${i}_eq : pattern_runtime."; echo "";
-done
-echo " End Associational."
-echo " Module Positional."
-for i in to_associational_cps to_associational eval zeros add_to_nth_cps add_to_nth place_cps place from_associational_cps from_associational carry_cps carry chained_carries_cps chained_carries encode add_cps mul_cps reduce_cps carry_reduce_cps chained_carries_reduce_cps_step chained_carries_reduce_cps chained_carries_reduce negate_snd_cps split_cps scmul_cps unbalanced_sub_cps sub_cps sub opp_cps Fencode Fdecode eval_from select_cps select; do
- echo " Definition ${i}_sig := parameterize_sig (@Core.B.Positional.${i}).";
- echo " Definition ${i} := parameterize_from_sig ${i}_sig.";
- echo " Definition ${i}_eq := parameterize_eq ${i} ${i}_sig.";
- echo " Hint Unfold ${i} : basesystem_partial_evaluation_unfolder.";
- echo " Hint Rewrite <- ${i}_eq : pattern_runtime."; echo "";
-done
-echo " End Positional."
-echo "End B."
-echo ""
-for i in modulo_cps div_cps modulo div; do
- echo "Definition ${i}_sig := parameterize_sig (@Core.${i}).";
- echo "Definition ${i} := parameterize_from_sig ${i}_sig.";
- echo "Definition ${i}_eq := parameterize_eq ${i} ${i}_sig.";
- echo "Hint Unfold ${i} : basesystem_partial_evaluation_unfolder.";
- echo "Hint Rewrite <- ${i}_eq : pattern_runtime."; echo "";
-done
->> *)
- Definition eval_sig := parameterize_sig (@Core.B.Associational.eval).
- Definition eval := parameterize_from_sig eval_sig.
- Definition eval_eq := parameterize_eq eval eval_sig.
- Hint Unfold eval : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- eval_eq : pattern_runtime.
-
- Definition multerm_sig := parameterize_sig (@Core.B.Associational.multerm).
- Definition multerm := parameterize_from_sig multerm_sig.
- Definition multerm_eq := parameterize_eq multerm multerm_sig.
- Hint Unfold multerm : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- multerm_eq : pattern_runtime.
-
- Definition mul_cps_sig := parameterize_sig (@Core.B.Associational.mul_cps).
- Definition mul_cps := parameterize_from_sig mul_cps_sig.
- Definition mul_cps_eq := parameterize_eq mul_cps mul_cps_sig.
- Hint Unfold mul_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- mul_cps_eq : pattern_runtime.
-
- Definition mul_sig := parameterize_sig (@Core.B.Associational.mul).
- Definition mul := parameterize_from_sig mul_sig.
- Definition mul_eq := parameterize_eq mul mul_sig.
- Hint Unfold mul : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- mul_eq : pattern_runtime.
-
- Definition split_cps_sig := parameterize_sig (@Core.B.Associational.split_cps).
- Definition split_cps := parameterize_from_sig split_cps_sig.
- Definition split_cps_eq := parameterize_eq split_cps split_cps_sig.
- Hint Unfold split_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- split_cps_eq : pattern_runtime.
-
- Definition split_sig := parameterize_sig (@Core.B.Associational.split).
- Definition split := parameterize_from_sig split_sig.
- Definition split_eq := parameterize_eq split split_sig.
- Hint Unfold split : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- split_eq : pattern_runtime.
-
- Definition reduce_cps_sig := parameterize_sig (@Core.B.Associational.reduce_cps).
- Definition reduce_cps := parameterize_from_sig reduce_cps_sig.
- Definition reduce_cps_eq := parameterize_eq reduce_cps reduce_cps_sig.
- Hint Unfold reduce_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- reduce_cps_eq : pattern_runtime.
-
- Definition reduce_sig := parameterize_sig (@Core.B.Associational.reduce).
- Definition reduce := parameterize_from_sig reduce_sig.
- Definition reduce_eq := parameterize_eq reduce reduce_sig.
- Hint Unfold reduce : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- reduce_eq : pattern_runtime.
-
- Definition negate_snd_cps_sig := parameterize_sig (@Core.B.Associational.negate_snd_cps).
- Definition negate_snd_cps := parameterize_from_sig negate_snd_cps_sig.
- Definition negate_snd_cps_eq := parameterize_eq negate_snd_cps negate_snd_cps_sig.
- Hint Unfold negate_snd_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- negate_snd_cps_eq : pattern_runtime.
-
- Definition negate_snd_sig := parameterize_sig (@Core.B.Associational.negate_snd).
- Definition negate_snd := parameterize_from_sig negate_snd_sig.
- Definition negate_snd_eq := parameterize_eq negate_snd negate_snd_sig.
- Hint Unfold negate_snd : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- negate_snd_eq : pattern_runtime.
-
- Definition carryterm_cps_sig := parameterize_sig (@Core.B.Associational.carryterm_cps).
- Definition carryterm_cps := parameterize_from_sig carryterm_cps_sig.
- Definition carryterm_cps_eq := parameterize_eq carryterm_cps carryterm_cps_sig.
- Hint Unfold carryterm_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carryterm_cps_eq : pattern_runtime.
-
- Definition carryterm_sig := parameterize_sig (@Core.B.Associational.carryterm).
- Definition carryterm := parameterize_from_sig carryterm_sig.
- Definition carryterm_eq := parameterize_eq carryterm carryterm_sig.
- Hint Unfold carryterm : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carryterm_eq : pattern_runtime.
-
- Definition carry_cps_sig := parameterize_sig (@Core.B.Associational.carry_cps).
- Definition carry_cps := parameterize_from_sig carry_cps_sig.
- Definition carry_cps_eq := parameterize_eq carry_cps carry_cps_sig.
- Hint Unfold carry_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carry_cps_eq : pattern_runtime.
-
- Definition carry_sig := parameterize_sig (@Core.B.Associational.carry).
- Definition carry := parameterize_from_sig carry_sig.
- Definition carry_eq := parameterize_eq carry carry_sig.
- Hint Unfold carry : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carry_eq : pattern_runtime.
-
- End Associational.
- Module Positional.
- Definition to_associational_cps_sig := parameterize_sig (@Core.B.Positional.to_associational_cps).
- Definition to_associational_cps := parameterize_from_sig to_associational_cps_sig.
- Definition to_associational_cps_eq := parameterize_eq to_associational_cps to_associational_cps_sig.
- Hint Unfold to_associational_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- to_associational_cps_eq : pattern_runtime.
-
- Definition to_associational_sig := parameterize_sig (@Core.B.Positional.to_associational).
- Definition to_associational := parameterize_from_sig to_associational_sig.
- Definition to_associational_eq := parameterize_eq to_associational to_associational_sig.
- Hint Unfold to_associational : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- to_associational_eq : pattern_runtime.
-
- Definition eval_sig := parameterize_sig (@Core.B.Positional.eval).
- Definition eval := parameterize_from_sig eval_sig.
- Definition eval_eq := parameterize_eq eval eval_sig.
- Hint Unfold eval : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- eval_eq : pattern_runtime.
-
- Definition zeros_sig := parameterize_sig (@Core.B.Positional.zeros).
- Definition zeros := parameterize_from_sig zeros_sig.
- Definition zeros_eq := parameterize_eq zeros zeros_sig.
- Hint Unfold zeros : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- zeros_eq : pattern_runtime.
-
- Definition add_to_nth_cps_sig := parameterize_sig (@Core.B.Positional.add_to_nth_cps).
- Definition add_to_nth_cps := parameterize_from_sig add_to_nth_cps_sig.
- Definition add_to_nth_cps_eq := parameterize_eq add_to_nth_cps add_to_nth_cps_sig.
- Hint Unfold add_to_nth_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- add_to_nth_cps_eq : pattern_runtime.
-
- Definition add_to_nth_sig := parameterize_sig (@Core.B.Positional.add_to_nth).
- Definition add_to_nth := parameterize_from_sig add_to_nth_sig.
- Definition add_to_nth_eq := parameterize_eq add_to_nth add_to_nth_sig.
- Hint Unfold add_to_nth : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- add_to_nth_eq : pattern_runtime.
-
- Definition place_cps_sig := parameterize_sig (@Core.B.Positional.place_cps).
- Definition place_cps := parameterize_from_sig place_cps_sig.
- Definition place_cps_eq := parameterize_eq place_cps place_cps_sig.
- Hint Unfold place_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- place_cps_eq : pattern_runtime.
-
- Definition place_sig := parameterize_sig (@Core.B.Positional.place).
- Definition place := parameterize_from_sig place_sig.
- Definition place_eq := parameterize_eq place place_sig.
- Hint Unfold place : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- place_eq : pattern_runtime.
-
- Definition from_associational_cps_sig := parameterize_sig (@Core.B.Positional.from_associational_cps).
- Definition from_associational_cps := parameterize_from_sig from_associational_cps_sig.
- Definition from_associational_cps_eq := parameterize_eq from_associational_cps from_associational_cps_sig.
- Hint Unfold from_associational_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- from_associational_cps_eq : pattern_runtime.
-
- Definition from_associational_sig := parameterize_sig (@Core.B.Positional.from_associational).
- Definition from_associational := parameterize_from_sig from_associational_sig.
- Definition from_associational_eq := parameterize_eq from_associational from_associational_sig.
- Hint Unfold from_associational : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- from_associational_eq : pattern_runtime.
-
- Definition carry_cps_sig := parameterize_sig (@Core.B.Positional.carry_cps).
- Definition carry_cps := parameterize_from_sig carry_cps_sig.
- Definition carry_cps_eq := parameterize_eq carry_cps carry_cps_sig.
- Hint Unfold carry_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carry_cps_eq : pattern_runtime.
-
- Definition carry_sig := parameterize_sig (@Core.B.Positional.carry).
- Definition carry := parameterize_from_sig carry_sig.
- Definition carry_eq := parameterize_eq carry carry_sig.
- Hint Unfold carry : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carry_eq : pattern_runtime.
-
- Definition chained_carries_cps_sig := parameterize_sig (@Core.B.Positional.chained_carries_cps).
- Definition chained_carries_cps := parameterize_from_sig chained_carries_cps_sig.
- Definition chained_carries_cps_eq := parameterize_eq chained_carries_cps chained_carries_cps_sig.
- Hint Unfold chained_carries_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- chained_carries_cps_eq : pattern_runtime.
-
- Definition chained_carries_sig := parameterize_sig (@Core.B.Positional.chained_carries).
- Definition chained_carries := parameterize_from_sig chained_carries_sig.
- Definition chained_carries_eq := parameterize_eq chained_carries chained_carries_sig.
- Hint Unfold chained_carries : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- chained_carries_eq : pattern_runtime.
-
- Definition encode_sig := parameterize_sig (@Core.B.Positional.encode).
- Definition encode := parameterize_from_sig encode_sig.
- Definition encode_eq := parameterize_eq encode encode_sig.
- Hint Unfold encode : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- encode_eq : pattern_runtime.
-
- Definition add_cps_sig := parameterize_sig (@Core.B.Positional.add_cps).
- Definition add_cps := parameterize_from_sig add_cps_sig.
- Definition add_cps_eq := parameterize_eq add_cps add_cps_sig.
- Hint Unfold add_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- add_cps_eq : pattern_runtime.
-
- Definition mul_cps_sig := parameterize_sig (@Core.B.Positional.mul_cps).
- Definition mul_cps := parameterize_from_sig mul_cps_sig.
- Definition mul_cps_eq := parameterize_eq mul_cps mul_cps_sig.
- Hint Unfold mul_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- mul_cps_eq : pattern_runtime.
-
- Definition reduce_cps_sig := parameterize_sig (@Core.B.Positional.reduce_cps).
- Definition reduce_cps := parameterize_from_sig reduce_cps_sig.
- Definition reduce_cps_eq := parameterize_eq reduce_cps reduce_cps_sig.
- Hint Unfold reduce_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- reduce_cps_eq : pattern_runtime.
-
- Definition carry_reduce_cps_sig := parameterize_sig (@Core.B.Positional.carry_reduce_cps).
- Definition carry_reduce_cps := parameterize_from_sig carry_reduce_cps_sig.
- Definition carry_reduce_cps_eq := parameterize_eq carry_reduce_cps carry_reduce_cps_sig.
- Hint Unfold carry_reduce_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- carry_reduce_cps_eq : pattern_runtime.
-
- Definition chained_carries_reduce_cps_step_sig := parameterize_sig (@Core.B.Positional.chained_carries_reduce_cps_step).
- Definition chained_carries_reduce_cps_step := parameterize_from_sig chained_carries_reduce_cps_step_sig.
- Definition chained_carries_reduce_cps_step_eq := parameterize_eq chained_carries_reduce_cps_step chained_carries_reduce_cps_step_sig.
- Hint Unfold chained_carries_reduce_cps_step : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- chained_carries_reduce_cps_step_eq : pattern_runtime.
-
- Definition chained_carries_reduce_cps_sig := parameterize_sig (@Core.B.Positional.chained_carries_reduce_cps).
- Definition chained_carries_reduce_cps := parameterize_from_sig chained_carries_reduce_cps_sig.
- Definition chained_carries_reduce_cps_eq := parameterize_eq chained_carries_reduce_cps chained_carries_reduce_cps_sig.
- Hint Unfold chained_carries_reduce_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- chained_carries_reduce_cps_eq : pattern_runtime.
-
- Definition chained_carries_reduce_sig := parameterize_sig (@Core.B.Positional.chained_carries_reduce).
- Definition chained_carries_reduce := parameterize_from_sig chained_carries_reduce_sig.
- Definition chained_carries_reduce_eq := parameterize_eq chained_carries_reduce chained_carries_reduce_sig.
- Hint Unfold chained_carries_reduce : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- chained_carries_reduce_eq : pattern_runtime.
-
- Definition negate_snd_cps_sig := parameterize_sig (@Core.B.Positional.negate_snd_cps).
- Definition negate_snd_cps := parameterize_from_sig negate_snd_cps_sig.
- Definition negate_snd_cps_eq := parameterize_eq negate_snd_cps negate_snd_cps_sig.
- Hint Unfold negate_snd_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- negate_snd_cps_eq : pattern_runtime.
-
- Definition split_cps_sig := parameterize_sig (@Core.B.Positional.split_cps).
- Definition split_cps := parameterize_from_sig split_cps_sig.
- Definition split_cps_eq := parameterize_eq split_cps split_cps_sig.
- Hint Unfold split_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- split_cps_eq : pattern_runtime.
-
- Definition scmul_cps_sig := parameterize_sig (@Core.B.Positional.scmul_cps).
- Definition scmul_cps := parameterize_from_sig scmul_cps_sig.
- Definition scmul_cps_eq := parameterize_eq scmul_cps scmul_cps_sig.
- Hint Unfold scmul_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- scmul_cps_eq : pattern_runtime.
-
- Definition unbalanced_sub_cps_sig := parameterize_sig (@Core.B.Positional.unbalanced_sub_cps).
- Definition unbalanced_sub_cps := parameterize_from_sig unbalanced_sub_cps_sig.
- Definition unbalanced_sub_cps_eq := parameterize_eq unbalanced_sub_cps unbalanced_sub_cps_sig.
- Hint Unfold unbalanced_sub_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- unbalanced_sub_cps_eq : pattern_runtime.
-
- Definition sub_cps_sig := parameterize_sig (@Core.B.Positional.sub_cps).
- Definition sub_cps := parameterize_from_sig sub_cps_sig.
- Definition sub_cps_eq := parameterize_eq sub_cps sub_cps_sig.
- Hint Unfold sub_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- sub_cps_eq : pattern_runtime.
-
- Definition sub_sig := parameterize_sig (@Core.B.Positional.sub).
- Definition sub := parameterize_from_sig sub_sig.
- Definition sub_eq := parameterize_eq sub sub_sig.
- Hint Unfold sub : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- sub_eq : pattern_runtime.
-
- Definition opp_cps_sig := parameterize_sig (@Core.B.Positional.opp_cps).
- Definition opp_cps := parameterize_from_sig opp_cps_sig.
- Definition opp_cps_eq := parameterize_eq opp_cps opp_cps_sig.
- Hint Unfold opp_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- opp_cps_eq : pattern_runtime.
-
- Definition Fencode_sig := parameterize_sig (@Core.B.Positional.Fencode).
- Definition Fencode := parameterize_from_sig Fencode_sig.
- Definition Fencode_eq := parameterize_eq Fencode Fencode_sig.
- Hint Unfold Fencode : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- Fencode_eq : pattern_runtime.
-
- Definition Fdecode_sig := parameterize_sig (@Core.B.Positional.Fdecode).
- Definition Fdecode := parameterize_from_sig Fdecode_sig.
- Definition Fdecode_eq := parameterize_eq Fdecode Fdecode_sig.
- Hint Unfold Fdecode : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- Fdecode_eq : pattern_runtime.
-
- Definition eval_from_sig := parameterize_sig (@Core.B.Positional.eval_from).
- Definition eval_from := parameterize_from_sig eval_from_sig.
- Definition eval_from_eq := parameterize_eq eval_from eval_from_sig.
- Hint Unfold eval_from : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- eval_from_eq : pattern_runtime.
-
- Definition select_cps_sig := parameterize_sig (@Core.B.Positional.select_cps).
- Definition select_cps := parameterize_from_sig select_cps_sig.
- Definition select_cps_eq := parameterize_eq select_cps select_cps_sig.
- Hint Unfold select_cps : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- select_cps_eq : pattern_runtime.
-
- Definition select_sig := parameterize_sig (@Core.B.Positional.select).
- Definition select := parameterize_from_sig select_sig.
- Definition select_eq := parameterize_eq select select_sig.
- Hint Unfold select : basesystem_partial_evaluation_unfolder.
- Hint Rewrite <- select_eq : pattern_runtime.
-
- End Positional.
-End B.
-
-Definition modulo_cps_sig := parameterize_sig (@Core.modulo_cps).
-Definition modulo_cps := parameterize_from_sig modulo_cps_sig.
-Definition modulo_cps_eq := parameterize_eq modulo_cps modulo_cps_sig.
-Hint Unfold modulo_cps : basesystem_partial_evaluation_unfolder.
-Hint Rewrite <- modulo_cps_eq : pattern_runtime.
-
-Definition div_cps_sig := parameterize_sig (@Core.div_cps).
-Definition div_cps := parameterize_from_sig div_cps_sig.
-Definition div_cps_eq := parameterize_eq div_cps div_cps_sig.
-Hint Unfold div_cps : basesystem_partial_evaluation_unfolder.
-Hint Rewrite <- div_cps_eq : pattern_runtime.
-
-Definition modulo_sig := parameterize_sig (@Core.modulo).
-Definition modulo := parameterize_from_sig modulo_sig.
-Definition modulo_eq := parameterize_eq modulo modulo_sig.
-Hint Unfold modulo : basesystem_partial_evaluation_unfolder.
-Hint Rewrite <- modulo_eq : pattern_runtime.
-
-Definition div_sig := parameterize_sig (@Core.div).
-Definition div := parameterize_from_sig div_sig.
-Definition div_eq := parameterize_eq div div_sig.
-Hint Unfold div : basesystem_partial_evaluation_unfolder.
-Hint Rewrite <- div_eq : pattern_runtime.