-- M005: Braid Event Sequencing Kernel Module
-- Source: braid_event_delta_gcl (5-Applications/tools-scripts/formula_optimization)
-- Kernel Function: EventScheduler
--
-- Events classified as A, G, C, T via shell states.
-- Braid trace = sequence of events over time with interference patterns.
-- Truth Seal: [ SSS-ENE-BRAID-2026-05-03 ]

module M005_BraidEventSequencing where

import BaseTypes
import M004_PISTGeometry (PISTShell, classifyProcess, BaseType)
import Semantics.Q16_16

structure BraidEvent where
  id        : EventID
  timestamp : Timestamp
  shell     : PISTShell        -- Position in shell hierarchy
  et        : BaseType         -- A, G, C, T classification
  Fm        : Q16_16           -- Mass field
  Fp        : Q16_16           -- Polarity field
  prevEvents : Array EventID   -- Tail references (braid strands)

-- Compute event from shell state (from braid_event_delta_gcl.py)
def computeBraidEvent (n : Nat) (tailWeights : Array (Nat × Float)) : BraidEvent :=
  let s := shellState n
  let et := classifyShell s
  let mass := s.a * s.b
  let polarity := s.a - s.b
  
  -- Echo from previous events (braid interference)
  let echo := tailWeights.foldl (\acc (tail, weight) =>
    if n < tail then acc
    else
      let prev := shellState (n - tail)
      let prevEt := classifyShell prev
      if prevEt != .None then
        acc + weight * (prev.a * prev.b).toFloat
      else acc
  ) 0.0
  
  let Fm := Q16_16.ofFloat (mass.toFloat + 0.5 * echo)
  let Fp := Q16_16.ofFloat (polarity.toFloat + 0.25 * echo)
  
  { id := generateEventID n
  , timestamp := now ()
  , shell := s
  , et := et
  , Fm := Fm
  , Fp := Fp
  , prevEvents := tailWeights.map (\(t,_) => generateEventID (n-t))
  }

-- Kernel interface: schedule events in braid order
def braidEventQueue (pendingEvents : Array BraidEvent) : IO (Array BraidEvent) := do
  -- Sort by shell width (inner shells first = higher priority)
  let sorted := pendingEvents.sortBy (\a b => a.shell.width < b.shell.width)
  
  -- Check braid interference: don't schedule events with conflicting prevEvents
  let scheduled := sorted.foldl (\acc ev =>
    if acc.any (\s => s.prevEvents.intersects ev.prevEvents) then
      acc  -- Skip: would cause braid crossing
    else
      acc.push ev
  ) #[]
  
  return scheduled

end M005_BraidEventSequencing