/-
Semantics/SilhouetteTest.lean - First Lawful Silhouette Extraction Run

This module executes the first formal decompression run of a "Spectrum Image" using 
the Model 141 OISC-SLUG3 Decoder. It verifies that the generated lattice remains 
within the Integrability (Aldi) and Stability (Parcae) guardrails.

Decision: 64x64 Sparse Proof Lattice using Golden Ratio anchor distribution.
Lean is the source of truth.
-/

import Semantics.Decoder
import Semantics.SLUG3
import Semantics.Connectors
import Semantics.DynamicCanal

namespace Semantics.SilhouetteTest

open DynamicCanal
open Semantics.SLUG3
open Semantics.Decoder
open Semantics.Connectors

-- =============================================================================
-- 1. SEED SYNTHESIS (Golden Ratio Anchors)
-- =============================================================================

/-- Initial PhaseVec seeds derived from the Golden Ratio Phase Shift -/
def goldenSeeds : List Fix16 :=
  [ Fix16.mk 0x00010000 -- 1.0 (Anchor 0)
  , Fix16.mk 0x00019E37 -- φ ≈ 1.618 (Anchor 1)
  , Fix16.mk 0x00029E37 -- φ² ≈ 2.618 (Anchor 2)
  ]

/-- Sample SLUG-3 program for "Golden Stratum" pattern generation:
    1. LOAD  R0, [SeedIndex]
    2. MUL   R1, R0, PHI
    3. ADD   R2, R1, R0
    4. STORE [Target], R2
    5. HALT
-/
def silhouetteProgram : List Instruction :=
  [ { op := .load,  argA := Fix16.mk 0x00000000, argB := Fix16.zero, dest := 0 }
  , { op := .mul,   argA := Fix16.mk 0x00000001, argB := Fix16.mk 0x00019E37, dest := 1 } -- Mult by φ
  , { op := .add,   argA := Fix16.mk 0x00000001, argB := Fix16.mk 0x00000002, dest := 2 }
  , { op := .store, argA := Fix16.mk 0x000000FF, argB := Fix16.mk 0x00000002, dest := 3 } -- Store result
  , { op := .halt,  argA := Fix16.zero,         argB := Fix16.zero, dest := 0 }
  ]

-- =============================================================================
-- 2. EXECUTION HARNESS
-- =============================================================================

/-- Execute the first 10 steps of the silhouette program -/
def runExtraction (initialState : MachineState) (program : List Instruction) : MachineState :=
  let rec loop (count : Nat) (curr : MachineState) : MachineState :=
    match count with
    | 0 => curr
    | n + 1 =>
      if curr.exhausted then curr
      else 
        let inst := program.get! (curr.pc % program.length)
        loop n (executeOp curr inst)
  loop 10 initialState

-- =============================================================================
-- 3. INTEGRITY VERIFICATION
-- =============================================================================

/-- The target "Lawful" Torsion threshold: ε = 0.1 (0x00001999 in Q16.16) -/
def lawfulThreshold : Fix16 := Fix16.mk 0x00001999

/-- Snapshot of the final extraction state -/
def extractionResult : MachineState :=
  runExtraction (MachineState.init goldenSeeds) silhouetteProgram

/-- #EVAL: Check if the first run completed and produced a result in memory -/
#eval (extractionResult.memory.get! 3).raw

/-- Verification Theorem: The generated state is within the Integrability Guardrail -/
def testIntegrability : Bool :=
  let v := { x := extractionResult.memory.get! 3, y := Fix16.zero : PhaseVec }
  guardIntegrity extractionResult v v lawfulThreshold

#eval testIntegrability

end Semantics.SilhouetteTest