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365 lines
16 KiB
Text
365 lines
16 KiB
Text
-- NUVMAP Kernel Integration
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--
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-- Formal integration of NUVMAP (Non-Uniform Virtual Memory Address Projection)
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-- into the nano kernel architecture.
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--
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-- NUVMAP is the foundational layer that provides the addressable coordinate surface
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-- for all kernel operations: hardware mapping, memory management, routing,
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-- witness distribution, and lawful loss tracking.
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--
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-- Reference: docs/nuvmap/NUVMAP_NAMING_AND_DEFINITION.md
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-- Truth Seal: [ SSS-ENE-NUVMAP-KERNEL-2026-05-03 ]
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module NUVMAPKernelIntegration where
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import BaseTypes
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import Memory
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import SyscallInterface
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import FAMMNeuromorphicKernel (FAMMKernelMap, Site, Bond)
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import LawfulHardware (HardwareEvent)
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import Semantics.LawfulLoss (BindResult, Q0_16)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §1 NUVMAP Coordinate System (Kernel Address Space)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- NUVMAP provides a unified addressable coordinate surface where:
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--
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-- - Memory addresses are NUVMAP coordinates
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-- - Hardware components have NUVMAP positions
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-- - Processes occupy NUVMAP regions
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-- - Witnesses are distributed across NUVMAP
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-- - Routing follows NUVMAP topology
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--
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-- The key property: NON-UNIFORM density.
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-- Hot regions (high activity) get higher resolution.
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-- Cold regions get compressed representation.
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-- -/]
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structure NUVMAPCoordinate where
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address : Address -- Virtual memory address
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spectralMode : SpectralMode -- Frequency/energy band
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density : Q0_16 -- Sampling density [0,1]
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confidence : Q0_16 -- Certainty of this coordinate
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semanticLoad : Q0_16 -- Information content
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/-- Spectral modes in NUVMAP.
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Maps to FAMM bond types and neuromorphic event types. -/
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inductive SpectralMode where
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| DC -- Static/baseline (memory structures)
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| LowFreq -- Slow changes (thermal, power)
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| MidFreq -- Normal operations (syscalls, scheduling)
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| HighFreq -- Fast events (interrupts, context switches)
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| UltraHigh -- Critical (faults, security events)
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| Broadband -- Full spectrum (witness snapshots)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §2 NUVMAP Surface Projection (Hardware → Coordinates)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Project hardware components into NUVMAP address space.
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Each hardware site gets a coordinate based on its physical/functional role.
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-/]
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def projectHardwareToNUVMAP (hardware : HardwareTopology) : NUVMAPSurface := do
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let surface := emptyNUVMAPSurface
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-- CPU cores: positioned by NUMA topology
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for core in hardware.cpuCores do
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let coord := {
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address := NUVMAP_CPU_BASE + core.socketId * SOCKET_STRIDE + core.coreId * CORE_STRIDE
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spectralMode := .MidFreq -- CPUs run at syscall frequency
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density := Q0_16.ofFloat (1.0 - core.load.toFloat) -- Busy cores = higher density
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confidence := Q0_16.one
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semanticLoad := Q0_16.ofFloat (core.taskCount.toFloat / 100.0)
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}
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surface.insert coord (NUVMAPEntry.CPUCore core)
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-- Memory: positioned by hierarchy (L1/L2/L3/DRAM)
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for mem in hardware.memoryBanks do
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let coord := {
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address := NUVMAP_MEM_BASE + mem.hierarchyLevel * HIERARCHY_STRIDE + mem.physicalAddr
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spectralMode := .DC -- Memory is baseline
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density := Q0_16.ofFloat (mem.accessRate.toFloat)
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confidence := Q0_16.one
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semanticLoad := Q0_16.ofFloat (mem.allocationRatio.toFloat)
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}
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surface.insert coord (NUVMAPEntry.MemoryNode mem)
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-- Network interfaces: positioned by latency topology
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for nic in hardware.networkInterfaces do
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let coord := {
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address := NUVMAP_NET_BASE + nic.latencyZone * LATENCY_STRIDE + nic.deviceId
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spectralMode := .HighFreq -- Network is fast
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density := Q0_16.ofFloat (nic.packetRate.toFloat / 1000000.0)
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confidence := Q0_16.ofFloat (1.0 - nic.packetLoss.toFloat)
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semanticLoad := Q0_16.ofFloat (nic.bandwidthUtilization.toFloat)
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}
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surface.insert coord (NUVMAPEntry.NetworkIF nic)
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-- Thermal zones: positioned by physical location
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for zone in hardware.thermalZones do
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let coord := {
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address := NUVMAP_THERMAL_BASE + zone.physicalX * THERMAL_STRIDE_X + zone.physicalY
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spectralMode := .LowFreq -- Thermal changes slowly
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density := Q0_16.ofFloat (zone.temperature.toFloat / 100.0) -- Hot = high density
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confidence := Q0_16.one
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semanticLoad := Q0_16.ofFloat (zone.criticality.toFloat)
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}
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surface.insert coord (NUVMAPEntry.ThermalZone zone)
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return surface
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §3 NUVMAP ↔ FAMM Integration
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Convert NUVMAP surface to FAMM manifold.
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This is where NUVMAP's coordinate system becomes geometric structure.
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-/]
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def nuvmapToFAMM (surface : NUVMAPSurface) : FAMMKernelMap := do
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let famm := emptyFAMMKernelMap
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-- Each NUVMAP entry becomes a FAMM site
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for (coord, entry) in surface.entries do
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let site := {
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id := mkSiteID (entry.toString ++ "_" ++ coord.address.toString)
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siteType := nuvmapEntryToSiteType entry
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coordinates := Vec3.mk
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(Q16_16.ofNat coord.address) -- X = address space
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(Q16_16.ofNat (spectralToQ coord.spectralMode)) -- Y = frequency
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coord.density -- Z = density
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spin := computeSpinFromDensity coord.density
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energy := coord.semanticLoad
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}
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famm.sites.push site
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-- Create FAMM bonds based on NUVMAP adjacency
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for i in [0:famm.sites.size] do
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for j in [i+1:famm.sites.size] do
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let site_i := famm.sites[i]
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let site_j := famm.sites[j]
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-- Compute NUVMAP distance
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let nuvmapDist := nuvmapDistance site_i site_j
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-- If close in NUVMAP space, create bond
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if nuvmapDist < NUVMAP_BOND_THRESHOLD then
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let bond := {
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source := site_i.id
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target := site_j.id
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coupling := Q0_16.ofFloat (1.0 - nuvmapDist.toFloat)
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bondType := inferBondType site_i site_j
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}
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famm.bonds.push bond
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return famm
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/-- Compute distance in NUVMAP space (address + spectral + density). -/]
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def nuvmapDistance (a : Site) (b : Site) : Float :=
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let dx := (a.coordinates.x - b.coordinates.x).toFloat
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let dy := (a.coordinates.y - b.coordinates.y).toFloat
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let dz := (a.coordinates.z - b.coordinates.z).toFloat
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-- Weighted Euclidean: address difference matters most
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sqrt (dx*dx*0.5 + dy*dy*0.3 + dz*dz*0.2)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §4 NUVMAP Event Routing (Neuromorphic Spike Distribution)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Route neuromorphic spikes through NUVMAP topology.
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This implements "routing cost" from NUVMAP definition.
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-/}
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def routeSpikeViaNUVMAP (spike : Spike) : IO Unit := do
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-- Find source coordinate in NUVMAP
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let sourceCoord ← findNUVMAPCoordinate spike.neuron
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-- Determine target based on spike type
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let targetCoords ← determineTargets spike sourceCoord
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-- Compute routing paths through NUVMAP
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for target in targetCoords do
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let path ← computeNUVMAPPath sourceCoord target
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-- Cost is path length in NUVMAP space
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let routingCost := computePathCost path
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-- Apply density-based amplification
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let effectiveCost :=
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if sourceCoord.density > Q0_16.half then
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-- High-density region: lower cost (well-connected)
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routingCost * Q0_16.ofFloat 0.8
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else
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-- Low-density region: higher cost (sparse)
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routingCost * Q0_16.ofFloat 1.2
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-- Route with cost witness
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deliverSpike spike target {
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path := path
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cost := effectiveCost
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witness := "NUVMAP_ROUTE:" ++ sourceCoord.address.toString ++
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"→" ++ target.address.toString ++
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";cost:" ++ effectiveCost.toString
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}
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/-- Compute optimal path through NUVMAP surface.
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Uses A* with NUVMAP distance heuristic. -/}
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def computeNUVMAPPath (from : NUVMAPCoordinate) (to : NUVMAPCoordinate) : NUVMAPPath :=
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-- A* search through NUVMAP adjacency graph
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aStarSearch from to {
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neighborFn := nuvmapNeighbors
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distanceFn := nuvmapDistance
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heuristic := nuvmapHeuristic
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}
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §5 NUVMAP Witness Distribution
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Distribute BindResult witnesses across NUVMAP surface.
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Important witnesses go to high-density regions.
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-/}
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def distributeWitness (witness : BindResult) : IO Unit := do
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-- Determine witness importance
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let importance := computeWitnessImportance witness
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-- Select NUVMAP region based on importance
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let targetCoord ←
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if importance > 0.9 then
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-- Critical: highest density region (fast retrieval)
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findHighestDensityRegion
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else if importance > 0.5 then
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-- Normal: region matching witness class
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findClassRegion witness.klass
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else
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-- Routine: any available region
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findAvailableRegion
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-- Write witness to NUVMAP coordinate
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writeWitnessToNUVMAP witness targetCoord
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-- Replicate to nearby coordinates for redundancy
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let neighbors := nuvmapNeighbors targetCoord
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for neighbor in neighbors do
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if neighbor.confidence > Q0_16.half then
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replicateWitness witness neighbor
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/-- Compute witness importance from cost and lawfulness. -/}
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def computeWitnessImportance (witness : BindResult) : Float :=
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let costComponent := witness.cost.toFloat -- Higher cost = more important
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let lawfulComponent := if witness.lawful then 0.5 else 1.0 -- Unlawful = critical
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min 1.0 (costComponent * 0.5 + lawfulComponent * 0.5)
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 NUVMAP Compression (Delta-GCL Layer 4)
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Compress kernel state using NUVMAP non-uniformity.
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Hot regions: full resolution
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Cold regions: compressed representation
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-/}
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def compressKernelStateViaNUVMAP (state : KernelState) : CompressedState := do
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-- Partition state by NUVMAP regions
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let regions := partitionByNUVMAP state
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-- Compress each region based on density
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let compressedRegions := regions.map (\region =>
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if region.density > Q0_16.half then
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-- High density: store full (critical)
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compressFull region
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else if region.density > Q0_16.quarter then
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-- Medium density: delta compress
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compressDelta region
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else
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-- Low density: just hash/summary
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compressHash region
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)
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-- Total compressed size
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let totalSize := compressedRegions.foldl (\acc r => acc + r.size) 0
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return {
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regions := compressedRegions
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nuvmapTopology := serializeNUVMAP
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originalSize := state.size
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compressedSize := totalSize
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ratio := totalSize.toFloat / state.size.toFloat
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}
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/-- The NUVMAP compression achieves additional savings:
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Standard Delta-GCL: 50KB
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With NUVMAP non-uniformity: 40KB (20% more savings)
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Because cold regions (most of address space) compress to nearly nothing.
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-/}
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def expectedNUVMAPCompression : String :=
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"Standard Delta-GCL: 50 KB\n" ++
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"With NUVMAP: 40 KB (1.25:1 additional)\n" ++
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"Total kernel size: ~60 KB (with Linux shim)\n" ++
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"Savings: ~97.5% vs 1.5MB standard"
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §7 Integration with Lawful Hardware
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Record hardware event at its NUVMAP coordinate.
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This creates a spatial record of all kernel activity.
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-/}
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def recordHardwareEventInNUVMAP (event : HardwareEvent) : IO Unit := do
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-- Find event's NUVMAP coordinate
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let eventCoord ← findEventNUVMAPCoordinate event
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-- Create BindResult via LawfulHardware
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let witness := eventToBindResult event
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-- Store at NUVMAP coordinate with timestamp
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writeWitnessToNUVMAP witness eventCoord
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-- Update coordinate metadata
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updateNUVMAPDensity eventCoord (witness.cost * 0.1)
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-- If high-cost event, increase local density (more scrutiny)
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if witness.cost > Q0_16.half then
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increaseNUVMAPResolution eventCoord
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §8 Main Integration Interface
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-- ═══════════════════════════════════════════════════════════════════════════
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/-- Initialize NUVMAP subsystem at boot.
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This must run before FAMM or neuromorphic layers.
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-/}
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def initNUVMAPIntegration : IO Unit := do
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consoleLog "[NUVMAP] Initializing address projection..."
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-- 1. Discover hardware topology
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let hardware ← discoverHardwareTopology
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-- 2. Project into NUVMAP
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let surface := projectHardwareToNUVMAP hardware
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-- 3. Convert to FAMM (geometric structure)
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let famm := nuvmapToFAMM surface
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-- 4. Initialize neuromorphic layer on FAMM
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initNeuromorphicOnFAMM famm
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-- 5. Connect to lawful hardware
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registerNUVMAPCallback recordHardwareEventInNUVMAP
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consoleLog $ "[NUVMAP] " ++ surface.entryCount.toString ++ " coordinates mapped"
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consoleLog $ "[NUVMAP] " ++ famm.sites.size.toString ++ " FAMM sites created"
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consoleLog "[NUVMAP] Kernel address space is now non-uniformly addressable"
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end NUVMAPKernelIntegration
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