File size: 3,013 Bytes
e63eb7f | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 | import OAI.Combinatorics.EditApproximation.Queries.QueryScalarReadSpace
import OAI.Combinatorics.EditApproximation.Queries.QueryRestrictionSpace
import OAI.Combinatorics.EditApproximation.Queries.QueryFamilyActive
namespace OAI
namespace EditApproximation
open BitQuery
section Family
variable {α : Type*} {M J R : ℕ} [NeZero M] (source target : List α)
(N P F exponent H Q eM eF : ℕ) (hP : 0 < P) (hM : M = 2 ^ eM) (hF : F = 2 ^ eF)
(tau a eta kappa delta : BinaryFraction) (passes copies pass copy T S t : ℕ) (ht : 0 < t)
(node : PhysicalNode M J) (hbelow : node.1.val < J) (time : Fin R)
(q : TargetInterval target.length)
def queryFamilyRefinementHeap : Heap (queryFamilyRefinement source target N P F exponent H Q eM eF hP hM hF
tau a eta kappa delta passes copies pass copy T S t ht node hbelow time q) :=
queryPhysicalRandomDataRequestHeap source target N P F exponent H Q eM eF hP hM hF
tau a eta kappa delta copies pass copy T S t ht node hbelow _ _ q
(queryFamilyGroupReadHeap target N P F exponent H Q passes copies pass copy ⟨node, hbelow⟩ time)
(queryFamilyOnlineReadHeap target N P F exponent H Q passes copies pass copy ⟨node, hbelow⟩ time)
end Family
section Active
variable {α : Type*} [DecidableEq α] {M J R : ℕ} [NeZero M] [NeZero R]
(source target : List α) (N P F exponent H Q eM eF : ℕ)
(hP : 0 < P) (hM : M = 2 ^ eM) (hF : F = 2 ^ eF)
(tau a eta kappa delta : BinaryFraction) (T S passes copies : ℕ)
(request : PhysicalTableRequest M J target.length)
(hindex : T < request.index) (hbelow : request.node.1.val < J)
def queryFamilyActiveHeap : Heap (queryFamilyActive (R := R) source target N P F exponent H Q eM eF hP hM hF
tau a eta kappa delta T S passes copies request hindex hbelow) :=
(queryFamilyRefinementHeap source target N P F exponent H Q eM eF hP hM hF tau a eta kappa delta
passes copies request.pass request.copy T S (request.index - T) (Nat.sub_pos_of_lt hindex)
request.node hbelow (Fin.ofNat R (request.index - T - 1)) request.state).mapKeysWithWork _ (fun _ => 1) (fun _ => le_rfl)
end Active
section Bounded
variable {α : Type*} [DecidableEq α] {M J R : ℕ} [NeZero M] [NeZero R]
(source target : List α) (N P F exponent H Q eM eF : ℕ)
(hP : 0 < P) (hM : M = 2 ^ eM) (hF : F = 2 ^ eF)
(tau a eta kappa delta : BinaryFraction) (T S passes copies : ℕ)
(parent : {r : PhysicalTableRequest M J target.length // r.Bounded (passes + 1) copies T S})
(hindex : T < parent.val.index) (hbelow : parent.val.node.1.val < J)
def queryFamilyBoundedActiveHeap : Heap (queryFamilyBoundedActive (R := R) source target N P F exponent H Q eM eF
hP hM hF tau a eta kappa delta T S passes copies parent hindex hbelow) :=
queryRestrictPhysicalBodyHeap (passes + 1) copies T S parent _
(queryFamilyActiveHeap (R := R) source target N P F exponent H Q eM eF hP hM hF
tau a eta kappa delta T S passes copies parent.val hindex hbelow)
end Bounded
end EditApproximation
end OAI
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