/- Semantics/Decoder.lean - Model 141 Self-Instantiating Weird Machine This module implements the OISC-SLUG3 engine as described in the N-Folded MMR Gossip EBML Schema. It executes 27 ternary opcodes while enforcing Integrability and Stability constraints from the simulation manifold. Lean is the source of truth. -/ import Semantics.SLUG3 import Semantics.Connectors import Semantics.DynamicCanal import Semantics.BraidBracket import Semantics.ManifoldFlow namespace Semantics.Decoder open DynamicCanal open Semantics.SLUG3 open Semantics.Connectors open Semantics.BraidBracket open Semantics.ManifoldFlow /-- Machine State for Model 141 -/ structure MachineState where pc : Nat stack : List Fix16 memory : Array Fix16 exhausted : Bool frustPrevX : BraidBracket.PhaseVec -- Hardware cache for P_{m-1} frustAniso : AnisotropyTensor -- Hardware cache for A_ij /-- Initial state with 1024 words of memory -/ def MachineState.init (initialMem : List Fix16) : MachineState := { pc := 0 , stack := [] , memory := (initialMem ++ (List.replicate (1024 - initialMem.length) Fix16.zero)).toArray , exhausted := false , frustPrevX := BraidBracket.PhaseVec.zero , frustAniso := { xx := Fix16.zero, xy := Fix16.zero, yy := Fix16.zero } } instance : Inhabited MachineState := ⟨MachineState.init []⟩ namespace Ports def ioIn : Int := -1 def ioOut : Int := -2 def frustPrevX : Int := -23 def frustAniso : Int := -24 def frustResult : Int := -25 end Ports /-- Instruction format: 6 bytes [Opcode (1) | OperandA (2) | OperandB (2) | Result (1)] -/ structure Instruction where op : OISCOp argA : Fix16 argB : Fix16 dest : Nat /-- Native Port Reading Header -/ def MachineState.read (state : MachineState) (addr : Int) : Fix16 := if addr >= 0 then if _hSize : 0 < state.memory.size then state.memory[addr.toNat % state.memory.size]! else Fix16.zero else match addr with | -25 => -- frustResult interlockingEnergy BraidBracket.PhaseVec.zero state.frustPrevX state.frustAniso | _ => Fix16.zero /-- Native Port Writing Header -/ def MachineState.write (state : MachineState) (addr : Int) (val : Fix16) : MachineState := if addr >= 0 then if _hSize : 0 < state.memory.size then let idx := addr.toNat % state.memory.size { state with memory := state.memory.set! idx val } else state else match addr with | -23 => { state with frustPrevX := { x := val, y := Fix16.zero : PhaseVec } } | -24 => { state with frustAniso := { xx := val, xy := Fix16.zero, yy := Fix16.zero } } | _ => state def MachineState.pcUpdate (state : MachineState) (n : Nat) : MachineState := { state with pc := state.pc + n } /-- Execute a single SLUG-3 Opcode update to the state -/ def executeOp (state : MachineState) (inst : Instruction) : MachineState := let a := inst.argA let b := inst.argB let nextState := match inst.op with | .nop => { state with pc := state.pc + 1 } | .add => let res := Fix16.add a b MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .sub => let res := Fix16.sub a b MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .mul => let res := Fix16.mul a b MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .div => let res := Fix16.div a b MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .min => let res := Fix16.min a b MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .max => let res := Fix16.max a b MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .abs => let res := Fix16.abs a MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .neg => let res := Fix16.neg a MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .shl => let res := Fix16.mul a (Fix16.mk ((2 ^ (a.raw.toNat % 16)) * 65536).toUInt32) MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .shr => let res := Fix16.div a (Fix16.mk ((2 ^ (a.raw.toNat % 16)) * 65536).toUInt32) MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .and => let res : Fix16 := ⟨a.raw &&& b.raw⟩ MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .or => let res : Fix16 := ⟨a.raw ||| b.raw⟩ MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .xor => let res : Fix16 := ⟨a.raw ^^^ b.raw⟩ MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .eq => let res := if a == b then Fix16.one else Fix16.zero MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .lt => let res := if a.raw < b.raw then Fix16.one else Fix16.zero MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .gt => let res := if a.raw > b.raw then Fix16.one else Fix16.zero MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .load => let res := state.read (Int.ofNat a.raw.toNat) MachineState.pcUpdate (state.write (Int.ofNat inst.dest) res) 1 | .store => MachineState.pcUpdate (state.write (Int.ofNat a.raw.toNat) b) 1 | .jmp => { state with pc := a.raw.toNat % state.memory.size } | .jz => if a.raw == 0 then { state with pc := b.raw.toNat % state.memory.size } else { state with pc := state.pc + 1 } | .jnz => if a.raw != 0 then { state with pc := b.raw.toNat % state.memory.size } else { state with pc := state.pc + 1 } | .call => { state with pc := a.raw.toNat % state.memory.size, stack := (Fix16.mk (state.pc + 1).toUInt32) :: state.stack } | .ret => match state.stack with | [] => { state with exhausted := true } | s :: ss => { state with pc := s.raw.toNat % state.memory.size, stack := ss } | .dup => { state with stack := a :: state.stack, pc := state.pc + 1 } | .drop => match state.stack with | [] => { state with pc := state.pc + 1 } | _ :: ss => { state with stack := ss, pc := state.pc + 1 } | .halt => { state with exhausted := true } nextState def interlockingEnergyPort (currentX prevX : BraidBracket.PhaseVec) (a : AnisotropyTensor) : Fix16 := interlockingEnergy currentX prevX a def guardIntegrity (_state : MachineState) (v : BraidBracket.PhaseVec) (acc : BraidBracket.PhaseVec) (ε : Fix16) : Bool := -- Link to Connector 1 isIntegrable (BraidBracket.PhaseVec.add acc v) [v] ε /-- Max Bandwidth Guard: Link to Connector 2 (Parcae/OMT) -/ def guardBandwidth (norm : SpectralNorm) (nodes : Nat) (τ : Fix16) (ops : Nat) : Bool := -- Halt if operations per frame exceed bandwidth Ω_max let limit := (omegaMax norm nodes τ).raw.toNat ops < limit end Semantics.Decoder