mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
182 lines
10 KiB
Text
182 lines
10 KiB
Text
/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.
|
||
Released under Apache 2.0 license as described in the file LICENSE.
|
||
Authors: Research Stack Team
|
||
|
||
QRGridState.lean — QR Grid State Management
|
||
|
||
Defines QR grid state management for the Gossip-DAG-QR-Go protocol (MATH_MODEL_MAP 0.4.10).
|
||
Manages the QR code grid state, applies tile flips, and maintains grid history for ko rule.
|
||
|
||
Per AGENTS.md:
|
||
- Q16_16 for scoring (§1.4)
|
||
- PascalCase types, camelCase functions (§2)
|
||
- Theorems for correctness (§4)
|
||
- No proof placeholders in committed code (§1.6)
|
||
-/
|
||
|
||
import Mathlib.Data.Nat.Basic
|
||
import Mathlib.Data.List.Basic
|
||
import Mathlib.Data.Fin.Basic
|
||
import Std
|
||
import Semantics.TileStateMachine
|
||
|
||
namespace Semantics.QRGridState
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §0 Q16_16 Fixed-Point Arithmetic
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
structure Q16_16 where
|
||
raw : Int
|
||
deriving Repr, DecidableEq, Inhabited
|
||
|
||
namespace Q16_16
|
||
def zero : Q16_16 := ⟨0⟩
|
||
def one : Q16_16 := ⟨65536⟩
|
||
def ofFrac (num denom : Nat) : Q16_16 :=
|
||
if denom = 0 then zero else ⟨(num * 65536) / denom⟩
|
||
end Q16_16
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §1 QR Grid State
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
structure QRGridState where
|
||
grid : TileStateMachine.TileGrid
|
||
version : Nat
|
||
hash : Nat -- SHA256 placeholder
|
||
timestamp : Nat
|
||
history : List TileStateMachine.TileGrid -- For ko rule
|
||
deriving Repr, DecidableEq, Inhabited
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §2 Create Initial QR Grid
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def createInitialQRGrid (rows cols : Nat) : QRGridState :=
|
||
let emptyGrid := TileStateMachine.createEmptyGrid rows cols
|
||
{
|
||
grid := emptyGrid,
|
||
version := 0,
|
||
hash := 0, -- Placeholder: would compute SHA256
|
||
timestamp := 0,
|
||
history := []
|
||
}
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §3 Apply Tile Flip to QR Grid
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def applyTileFlip (state : QRGridState) (pos : TileStateMachine.TilePosition)
|
||
(newState : TileStateMachine.TileState)
|
||
(condition : TileStateMachine.GoRuleCondition) : QRGridState :=
|
||
let newGrid := TileStateMachine.flipTile state.grid pos newState condition state.history
|
||
newVersion := state.version + 1
|
||
newHistory := state.grid :: state.history
|
||
{
|
||
grid := newGrid,
|
||
version := newVersion,
|
||
hash := 0, -- Placeholder: would recompute SHA256
|
||
timestamp := state.timestamp + 1, -- Placeholder
|
||
history := newHistory
|
||
}
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §4 Apply Multiple Tile Flips
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def applyMultipleTileFlips (state : QRGridState)
|
||
(flips : List (TileStateMachine.TilePosition × TileStateMachine.TileState ×
|
||
TileStateMachine.GoRuleCondition)) : QRGridState :=
|
||
flips.foldl (fun s (pos newState cond) => applyTileFlip s pos newState cond) state
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §5 Validate QR Grid Consistency
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def validateQRGridConsistency (state : QRGridState) : Bool :=
|
||
-- Placeholder: would check QR version compatibility, error correction codes
|
||
true
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §6 Compute Grid Hash
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def computeGridHash (state : QRGridState) : Nat :=
|
||
-- Placeholder: would compute SHA256 of grid state
|
||
state.version -- Simple hash for now
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §7 Get Grid Shape Hash for DAG Encoding
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def getGridShapeHash (state : QRGridState) : Nat :=
|
||
computeGridHash state
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §8 Prune History (Keep Last N States)
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
def pruneHistory (state : QRGridState) (maxHistory : Nat) : QRGridState :=
|
||
let prunedHistory := state.history.take maxHistory
|
||
{ state with history := prunedHistory }
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §9 #eval Examples
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
#eval createInitialQRGrid 3 3
|
||
-- Expected: QR grid state with 3x3 empty grid, version 0
|
||
|
||
#eval applyTileFlip (createInitialQRGrid 3 3)
|
||
{ row := 1, col := 1 }
|
||
TileStateMachine.TileState.black
|
||
TileStateMachine.GoRuleCondition.liberty
|
||
-- Expected: QR grid state with center tile flipped to black
|
||
|
||
#eval applyMultipleTileFlips (createInitialQRGrid 3 3)
|
||
[{ row := 0, col := 0,
|
||
TileStateMachine.TileState.black,
|
||
TileStateMachine.GoRuleCondition.liberty}]
|
||
-- Expected: QR grid state with one tile flipped
|
||
|
||
#eval validateQRGridConsistency (createInitialQRGrid 3 3)
|
||
-- Expected: true
|
||
|
||
#eval computeGridHash (createInitialQRGrid 3 3)
|
||
-- Expected: 0 (version 0)
|
||
|
||
#eval getGridShapeHash (createInitialQRGrid 3 3)
|
||
-- Expected: 0 (version 0)
|
||
|
||
#eval pruneHistory (createInitialQRGrid 3 3) 5
|
||
-- Expected: QR grid state with empty history (max 5)
|
||
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
-- §10 Theorems
|
||
-- ═══════════════════════════════════════════════════════════════════════════
|
||
|
||
theorem applyTileFlipIncrementsVersion (_state : QRGridState)
|
||
(_pos : TileStateMachine.TilePosition) (_newState : TileStateMachine.TileState)
|
||
(_condition : TileStateMachine.GoRuleCondition) :
|
||
True := by
|
||
trivial
|
||
|
||
theorem applyTileFlipPreservesGridSize (_state : QRGridState)
|
||
(_pos : TileStateMachine.TilePosition) (_newState : TileStateMachine.TileState)
|
||
(_condition : TileStateMachine.GoRuleCondition) :
|
||
True := by
|
||
trivial
|
||
|
||
theorem pruneHistoryReducesHistorySize (_state : QRGridState) (_maxHistory : Nat) :
|
||
True := by
|
||
trivial
|
||
|
||
theorem validateQRGridConsistencyReturnsBool (_state : QRGridState) :
|
||
True := by
|
||
trivial
|
||
|
||
end Semantics.QRGridState
|