mirror of
https://github.com/allaunthefox/Research-Stack.git
synced 2026-07-31 03:05:21 +00:00
81 lines
2.9 KiB
Text
81 lines
2.9 KiB
Text
-- M004: PIST Geometry Kernel Module
|
|
-- Source: pist_shell_state_v1 (2-Search-Space/PIST)
|
|
-- Kernel Function: ProcessTopology
|
|
--
|
|
-- Processes live on PIST torus geometry. Shell state S(n) = (k, a, b, width).
|
|
-- Process scheduling follows shell-state classification: A, G, C, T.
|
|
-- Truth Seal: [ SSS-ENE-PIST-2026-05-03 ]
|
|
|
|
module M004_PISTGeometry where
|
|
|
|
import BaseTypes
|
|
import Semantics.Q16_16
|
|
|
|
structure PISTShell where
|
|
n : Nat -- Process priority / quantum number
|
|
k : Nat -- Shell index = floor(sqrt(n))
|
|
a : Nat -- Forward distance = n - k²
|
|
b : Nat -- Backward distance = (k+1)² - n
|
|
width : Nat -- Shell width = 2k + 1
|
|
|
|
structure PISTProcess where
|
|
pid : PID
|
|
shell : PISTShell
|
|
et : BaseType -- A, G, C, T classification
|
|
position : Vec3 -- On torus surface
|
|
spin : Q16_16 -- Scheduling priority weight
|
|
|
|
inductive BaseType where
|
|
| A -- Adenine : n = k² (perfect square, stable)
|
|
| G -- Guanine : n = k² + k (mid-shell, balanced)
|
|
| C -- Cytosine : n = k² + k + 1 (near-edge, active)
|
|
| T -- Thymine : n = (k+1)² - 1 (shell boundary, volatile)
|
|
|
|
-- Compute shell state for process priority n
|
|
def shellState (n : Nat) : PISTShell :=
|
|
let k := isqrt n
|
|
let a := n - k * k
|
|
let b := (k + 1) * (k + 1) - n
|
|
{ n := n, k := k, a := a, b := b, width := 2 * k + 1 }
|
|
|
|
-- Classify process by its shell position
|
|
def classifyProcess (proc : PISTProcess) : BaseType :=
|
|
let s := proc.shell
|
|
if s.n == s.k * s.k then .A
|
|
else if s.n == s.k * s.k + s.k then .G
|
|
else if s.n == s.k * s.k + s.k + 1 then .C
|
|
else if s.n == (s.k + 1) * (s.k + 1) - 1 then .T
|
|
else .A -- Default stable
|
|
|
|
-- Torus embedding: position from shell geometry
|
|
def torusPosition (s : PISTShell) (θ : Float) (φ : Float) : Vec3 :=
|
|
let R := 1.0 -- Major radius
|
|
let r := 1.0 / (s.k.toFloat + 1.0) -- Minor radius shrinks with shell
|
|
let x := (R + r * cos φ) * cos θ
|
|
let y := (R + r * cos φ) * sin θ
|
|
let z := r * sin φ
|
|
Vec3.mk (Q16_16.ofFloat x) (Q16_16.ofFloat y) (Q16_16.ofFloat z)
|
|
|
|
-- Scheduling weight from base type and shell position
|
|
def schedulingWeight (proc : PISTProcess) : Q16_16 :=
|
|
let baseWeight := match proc.et with
|
|
| .A => Q16_16.ofFloat 0.25 -- Stable, low priority
|
|
| .G => Q16_16.ofFloat 0.50 -- Balanced
|
|
| .C => Q16_16.ofFloat 0.75 -- Active, higher priority
|
|
| .T => Q16_16.ofFloat 1.00 -- Volatile, urgent
|
|
|
|
-- Shell position adjustment: edge processes (high a or b) get boost
|
|
let edgeFactor := Q16_16.ofFloat (
|
|
(proc.shell.a.toFloat + proc.shell.b.toFloat) /
|
|
(2.0 * proc.shell.k.toFloat + 1.0)
|
|
)
|
|
|
|
baseWeight + edgeFactor * Q16_16.ofFloat 0.25
|
|
|
|
-- Kernel interface: PIST-aware scheduler
|
|
def pistScheduleNext (readyQueue : Array PISTProcess) : IO PISTProcess := do
|
|
let scored := readyQueue.map (\p => { proc := p, weight := schedulingWeight p })
|
|
let next := scored.maxBy (\s => s.weight)
|
|
return next.proc
|
|
|
|
end M004_PISTGeometry
|