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83 lines
2.4 KiB
Text
83 lines
2.4 KiB
Text
import Semantics.PISTMachine
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import Semantics.Functions.BracketedCalculus
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namespace Semantics.PBACSSignal
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open Semantics.Functions.BracketedCalculus
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open Semantics.PISTMachine
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/-! # PBACS REV3 — Signal Transport
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Neutralized Specification.
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Anchored to: linear/RES-2311
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-/
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/-- 1-bit output symbol. -/
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abbrev Symbol := Bool
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/-- PBACS Unified State Vector.
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Refactored to align with PISTMachine nomenclature. -/
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structure State where
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phi : UInt32 -- L2 φ-accumulator
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error : Int32 -- L1 Error accumulator
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tension : UInt32 -- L4 Tension accumulator
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phase : Phase -- L4 PIST Phase sort
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lastSymbol : Symbol -- L1 Output symbol
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bracket : BracketedDIAT -- L5 BracketedDIAT
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deriving Repr, BEq, DecidableEq
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namespace State
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def default : State := {
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phi := 0,
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error := 0,
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tension := 0,
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phase := Phase.grounded,
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lastSymbol := false,
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bracket := BracketedDIAT.encode 0 0 0 0
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}
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/-- Step 1: Phi increment (Golden Ratio constant). -/
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def nextPhi (phi : UInt32) : UInt32 :=
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phi + 106070 -- ≈ 2^32 / φ^2
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/-- Step 2: Threshold LUT lookup (simulated via MSB check). -/
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def getThreshold (phi : UInt32) : Int32 :=
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if phi >= 0x80000000 then 32768 else -32768
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/-- Canonical Update Law (Steps 1-8).
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v_t: Input sample in Q16_16 mapped to Int32. -/
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def update (s : State) (v_t : Int32) : State :=
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let v_q := _root_.Semantics.Q16_16.ofInt v_t.toInt
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let phiNext := nextPhi s.phi
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let theta_t := getThreshold phiNext
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-- Step 3 & 4: Error Accumulation and Symbol Decision
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let b_t := if theta_t < v_t + s.error then true else false
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let e_next := v_t + s.error - (if b_t then theta_t else 0)
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-- Step 5-8: Tension and Phase (Neutralized SLUQ)
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let stress := (e_next).abs
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let tensionNext := (s.tension * 921 + stress.toUInt32 * 103) / 1024
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let phaseNext :=
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if tensionNext > 50000 then Phase.seismic
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else if tensionNext > 10000 then Phase.drift
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else Phase.grounded
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-- L5: Update bracket (Constraint-preserving interval)
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let newBracket := BracketedDIAT.encode
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(s.bracket.lower + v_q - _root_.Semantics.Q16_16.epsilon)
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(v_q)
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(s.bracket.upper + v_q + _root_.Semantics.Q16_16.epsilon)
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s.bracket.scale
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{ phi := phiNext
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, error := e_next
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, tension := tensionNext
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, phase := phaseNext
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, lastSymbol := b_t
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, bracket := newBracket }
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end State
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end Semantics.PBACSSignal
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