Research-Stack/4-Infrastructure/nano-kernel/gcl-modules/m006-shell-state-classifier.gcl

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-- 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