openAI-math-dataset / lean /OAI /Combinatorics /EditApproximation /Specification /RawBandConsumers.lean
| import OAI.Combinatorics.EditApproximation.Specification.RawBand | |
| import OAI.Combinatorics.EditApproximation.Definitions | |
| namespace OAI.EditApproximation.BinaryFraction | |
| section Group | |
| variable {ny M T : ℕ} (b exponent Q : ℕ) | |
| (initial current : Fin M → TargetInterval ny → BinaryFraction × ℕ) | |
| (initialAllocation currentAllocation : Fin M → TargetInterval ny → ℕ) | |
| (scales : Fin T → BinaryFraction) | |
| (draw : ∀ t, Fin (groupSampleCount M Q b (scales t).value) → Fin M) | |
| (drawSource : ∀ t, Fin (groupSampleCount M Q b (scales t).value) → Fin M × ℕ) | |
| (drawAllocation : ∀ t, Fin (groupSampleCount M Q b (scales t).value) → ℕ) | |
| def unskippedEstimateReadWithWorkRaw (member : (RawUnskippedBand M ny)) : BinaryFraction × ℕ := | |
| let mass := envelopeVectorReadWithWork b member.actions initial | |
| let rounded := roundedBandReadWithWork exponent b member.actions member.nonempty initial | |
| let values := vectorMapWithWork M fun i => current i (rounded.1.get i) | |
| let connection := endpointConnectionWithWork member.center rounded.1.get | |
| let result := countedGroupMemberWithWork Q b scales connection.1 mass.1 values.1 draw | |
| (result.1, mass.2 + rounded.2 + values.2 + connection.2 + result.2 + 5) | |
| def chooseUnskippedReadWithWorkRaw (members : List (RawUnskippedBand M ny)) (hne : members ≠ []) : (RawUnskippedBand M ny) × ℕ := | |
| selectGroupWithWork members hne | |
| (unskippedEstimateReadWithWorkRaw b exponent Q initial current scales draw) | |
| def sampledGroupActionReadWithWorkRaw (members : List (RawUnskippedBand M ny)) (hne : members ≠ []) : | |
| BinaryBellmanAction (TargetInterval ny) (Fin M × TargetInterval ny) M × ℕ := | |
| let selected := chooseUnskippedReadWithWorkRaw b exponent Q initial current scales draw members hne | |
| let rounded := roundedBandReadWithWork exponent b selected.1.actions selected.1.nonempty initial | |
| let result := endpointActionWithWork selected.1.center rounded.1.get | |
| (result.1, selected.2 + rounded.2 + result.2 + 3) | |
| end Group | |
| end OAI.EditApproximation.BinaryFraction | |