-- M006: Shell State Classifier Kernel Module
-- Source: shell_state_classifier (3-Mathematical-Models)
-- Kernel Function: ProcessClassifier
--
-- Classifies kernel entities (processes, pages, interrupts) by shell state.
-- Used for resource allocation, scheduling, and security policies.
-- Truth Seal: [ SSS-ENE-CLASSIFIER-2026-05-03 ]

module M006_ShellStateClassifier where

import BaseTypes
import M004_PISTGeometry (PISTShell, BaseType)
import Semantics.Q0_16

-- Classification of any kernel entity by its shell state
def classifyByShell (n : Nat) : ShellClassification :=
  let k := isqrt n
  let a := n - k * k
  let b := (k + 1) * (k + 1) - n
  let width := 2 * k + 1
  
  -- Distance from shell center
  let centerDist := abs (a - b)
  let maxDist := k
  let normalizedDist := Q0_16.ofFloat (centerDist.toFloat / maxDist.toFloat)
  
  -- Classification
  let baseType :=
    if a == 0 then .A      -- Perfect square: stable core
    else if a == k then .G  -- Midpoint: balanced
    else if a == k + 1 then .C  -- Near edge: active
    else if b == 0 then .T  -- Outer edge: volatile
    else .A                 -- Default
  
  { n := n
  , k := k
  , a := a
  , b := b
  , baseType := baseType
  , centrality := Q0_16.sub Q0_16.one normalizedDist  -- Higher = closer to center
  , stability := Q0_16.ofFloat (1.0 / (k + 1).toFloat)  -- Lower shells = more stable
  }

-- Policy: allocate resources based on classification
def resourcePolicy (cl : ShellClassification) : ResourceAllocation :=
  match cl.baseType with
  | .A => { priority := 1, quantum := 100, preemption := false }  -- Core: stable, long quanta
  | .G => { priority := 2, quantum := 50, preemption := true }   -- Balanced: medium
  | .C => { priority := 3, quantum := 25, preemption := true }    -- Active: short, responsive
  | .T => { priority := 4, quantum := 10, preemption := true }    -- Edge: urgent, very short

end M006_ShellStateClassifier