Research-Stack/0-Core-Formalism/lean/external/OTOM/SubstrateProfile.lean

import Semantics.PhysicsScalar
import Semantics.ElectromagneticSpectrum
import Semantics.RegimeCore
import Semantics.BoundaryDynamics
import Semantics.CausalGeometry

namespace Semantics.SubstrateProfile

open Semantics.PhysicsScalar
open Semantics.ElectromagneticSpectrum
open Semantics.RegimeCore
open Semantics.BoundaryDynamics
open Semantics.CausalGeometry

abbrev SubstrateId := UInt16

inductive SubstrateKind
| software
| fpga
| asic
| cpu
| gpu
| optical
| memristive
| spintronic
| biologicalLike
| hybrid
  deriving Repr, DecidableEq

inductive TimingResolution
| coarse
| tick
| fine
| phaseAware
| eventDriven
  deriving Repr, DecidableEq

inductive ExecutionStyle
| deterministic
| gated
| streaming
| eventDriven
| reconfigurable
| hybrid
  deriving Repr, DecidableEq

structure SpectralSupport where
  supportedBands : List SpectrumBand
  lineOfSightPreferred : Bool
  supportsActiveProbe : Bool
  supportsPassiveSensing : Bool
  supportsCommunication : Bool
  ionizingTolerance : Q16_16
  deriving Repr, DecidableEq

structure BoundarySupport where
  supportedKinds : List BoundaryKind
  supportsDiffuseBoundaries : Bool
  supportsTurbulentBoundaries : Bool
  maximumFluidity : Q16_16
  minimumCoherence : Q16_16
  deriving Repr, DecidableEq

structure CausalSupport where
  supportedOrientations : List CausalOrientation
  supportsDelayedLinks : Bool
  supportsFoldedLinks : Bool
  supportsCyclicTraversal : Bool
  requiresGuardedTraversal : Bool
  maximumDelayMass : Q16_16
  deriving Repr, DecidableEq

structure ResourceEnvelope where
  maxStateDim : Nat
  maxTransportDim : Nat
  maxTopologyDim : Nat
  maxRenderDim : Nat
  channelBudget : UInt16
  nodeBudget : UInt16
  linkBudget : UInt16
  deriving Repr, DecidableEq

structure SubstrateProfile where
  substrateId : SubstrateId
  label : String
  kind : SubstrateKind
  timingResolution : TimingResolution
  executionStyle : ExecutionStyle
  resourceEnvelope : ResourceEnvelope
  supportsResolvedOnly : Bool
  spectralSupport : SpectralSupport
  boundarySupport : BoundarySupport
  causalSupport : CausalSupport
  deriving Repr, DecidableEq


def supportsBand (profile : SubstrateProfile) (band : SpectrumBand) : Bool :=
  band ∈ profile.spectralSupport.supportedBands


def supportsBoundaryKind (profile : SubstrateProfile) (kind : BoundaryKind) : Bool :=
  kind ∈ profile.boundarySupport.supportedKinds


def supportsOrientation (profile : SubstrateProfile) (orientation : CausalOrientation) : Bool :=
  orientation ∈ profile.causalSupport.supportedOrientations


def supportsDimensions (profile : SubstrateProfile) (stateDim transportDim topologyDim renderDim : Nat) : Bool :=
  stateDim <= profile.resourceEnvelope.maxStateDim &&
  transportDim <= profile.resourceEnvelope.maxTransportDim &&
  topologyDim <= profile.resourceEnvelope.maxTopologyDim &&
  renderDim <= profile.resourceEnvelope.maxRenderDim


def supportsFluidity (profile : SubstrateProfile) (fluidity : Q16_16) : Bool :=
  Q16_16.le fluidity profile.boundarySupport.maximumFluidity


def supportsDelayMass (profile : SubstrateProfile) (delayMass : Q16_16) : Bool :=
  Q16_16.le delayMass profile.causalSupport.maximumDelayMass


def compatibleWithBoundary (profile : SubstrateProfile) (boundary : BoundaryLayer) : Bool :=
  supportsBoundaryKind profile boundary.kind &&
  supportsFluidity profile boundary.fluidity &&
  Q16_16.ge boundary.coherence profile.boundarySupport.minimumCoherence &&
  (profile.boundarySupport.supportsDiffuseBoundaries || boundary.kind != BoundaryKind.sheath) &&
  (profile.boundarySupport.supportsTurbulentBoundaries || !Q16_16.gt boundary.fluidity Q16_16.half)


def compatibleWithSample (profile : SubstrateProfile) (sample : ElectromagneticSample) : Bool :=
  supportsBand profile sample.band &&
  match sample.interactionClass with
  | InteractionClass.communication => profile.spectralSupport.supportsCommunication
  | InteractionClass.passiveSensing => profile.spectralSupport.supportsPassiveSensing
  | InteractionClass.activeSensing => profile.spectralSupport.supportsActiveProbe
  | InteractionClass.imaging => profile.spectralSupport.supportsPassiveSensing || profile.spectralSupport.supportsActiveProbe
  | InteractionClass.illumination => true
  | InteractionClass.heating => true
  | InteractionClass.ionizingExposure => Q16_16.gt profile.spectralSupport.ionizingTolerance Q16_16.quarter
  | InteractionClass.plasmaCoupling => true


def compatibleWithLink (profile : SubstrateProfile) (link : CausalLink) : Bool :=
  supportsOrientation profile link.orientation &&
  supportsDelayMass profile link.delay &&
  (profile.causalSupport.supportsDelayedLinks || !Q16_16.gt link.delay Q16_16.zero) &&
  (profile.causalSupport.supportsFoldedLinks || link.orientation != CausalOrientation.folded) &&
  (profile.causalSupport.supportsCyclicTraversal || link.orientation != CausalOrientation.cyclic) &&
  (!profile.causalSupport.requiresGuardedTraversal || link.requiresGate)


def compatibleWithRegionAssignment (profile : SubstrateProfile) (assignment : RegionAssignment) : Bool :=
  !profile.supportsResolvedOnly || assignment.resolutionStatus = ResolutionStatus.resolved


def substrateAdmitsTransition
  (profile : SubstrateProfile)
  (assignment : RegionAssignment)
  (sample? : Option ElectromagneticSample)
  (boundary? : Option BoundaryLayer)
  (link? : Option CausalLink)
  (stateDim transportDim topologyDim renderDim : Nat)
  : Bool :=
  compatibleWithRegionAssignment profile assignment &&
  supportsDimensions profile stateDim transportDim topologyDim renderDim &&
  match sample?, boundary?, link? with
  | some sample, some boundary, some link =>
      compatibleWithSample profile sample &&
      compatibleWithBoundary profile boundary &&
      compatibleWithLink profile link
  | some sample, some boundary, none =>
      compatibleWithSample profile sample &&
      compatibleWithBoundary profile boundary
  | some sample, none, some link =>
      compatibleWithSample profile sample &&
      compatibleWithLink profile link
  | none, some boundary, some link =>
      compatibleWithBoundary profile boundary &&
      compatibleWithLink profile link
  | some sample, none, none => compatibleWithSample profile sample
  | none, some boundary, none => compatibleWithBoundary profile boundary
  | none, none, some link => compatibleWithLink profile link
  | none, none, none => true


def fpgaSpectralSupport : SpectralSupport :=
  { supportedBands := [SpectrumBand.radio, SpectrumBand.microwave, SpectrumBand.infrared, SpectrumBand.visible]
  , lineOfSightPreferred := false
  , supportsActiveProbe := true
  , supportsPassiveSensing := true
  , supportsCommunication := true
  , ionizingTolerance := Q16_16.quarter }


def fpgaBoundarySupport : BoundarySupport :=
  { supportedKinds :=
      [ BoundaryKind.interface
      , BoundaryKind.sheath
      , BoundaryKind.throat
      , BoundaryKind.spectralCurtain
      , BoundaryKind.reconnectionSurface
      , BoundaryKind.dimensionalSeam ]
  , supportsDiffuseBoundaries := true
  , supportsTurbulentBoundaries := false
  , maximumFluidity := Q16_16.three
  , minimumCoherence := Q16_16.quarter }


def fpgaCausalSupport : CausalSupport :=
  { supportedOrientations := [CausalOrientation.forward, CausalOrientation.lateral, CausalOrientation.folded]
  , supportsDelayedLinks := true
  , supportsFoldedLinks := true
  , supportsCyclicTraversal := false
  , requiresGuardedTraversal := true
  , maximumDelayMass := Q16_16.four }


def fpgaSubstrateProfile : SubstrateProfile :=
  { substrateId := UInt16.ofNat 1
  , label := "fpga-default"
  , kind := SubstrateKind.fpga
  , timingResolution := TimingResolution.tick
  , executionStyle := ExecutionStyle.reconfigurable
  , resourceEnvelope :=
      { maxStateDim := 8
      , maxTransportDim := 8
      , maxTopologyDim := 8
      , maxRenderDim := 4
      , channelBudget := UInt16.ofNat 4096
      , nodeBudget := UInt16.ofNat 4096
      , linkBudget := UInt16.ofNat 8192 }
  , supportsResolvedOnly := true
  , spectralSupport := fpgaSpectralSupport
  , boundarySupport := fpgaBoundarySupport
  , causalSupport := fpgaCausalSupport }


def softwareResearchSubstrateProfile : SubstrateProfile :=
  { substrateId := UInt16.ofNat 2
  , label := "software-research"
  , kind := SubstrateKind.software
  , timingResolution := TimingResolution.phaseAware
  , executionStyle := ExecutionStyle.hybrid
  , resourceEnvelope :=
      { maxStateDim := 32
      , maxTransportDim := 32
      , maxTopologyDim := 32
      , maxRenderDim := 8
      , channelBudget := UInt16.ofNat 65535
      , nodeBudget := UInt16.ofNat 65535
      , linkBudget := UInt16.ofNat 65535 }
  , supportsResolvedOnly := false
  , spectralSupport :=
      { supportedBands := [SpectrumBand.radio, SpectrumBand.microwave, SpectrumBand.infrared, SpectrumBand.visible, SpectrumBand.ultraviolet, SpectrumBand.xray, SpectrumBand.gamma]
      , lineOfSightPreferred := false
      , supportsActiveProbe := true
      , supportsPassiveSensing := true
      , supportsCommunication := true
      , ionizingTolerance := Q16_16.four }
  , boundarySupport :=
      { supportedKinds :=
          [ BoundaryKind.interface
          , BoundaryKind.sheath
          , BoundaryKind.throat
          , BoundaryKind.spectralCurtain
          , BoundaryKind.reconnectionSurface
          , BoundaryKind.dimensionalSeam ]
      , supportsDiffuseBoundaries := true
      , supportsTurbulentBoundaries := true
      , maximumFluidity := Q16_16.four
      , minimumCoherence := Q16_16.zero }
  , causalSupport :=
      { supportedOrientations :=
          [ CausalOrientation.forward
          , CausalOrientation.backward
          , CausalOrientation.lateral
          , CausalOrientation.cyclic
          , CausalOrientation.folded ]
      , supportsDelayedLinks := true
      , supportsFoldedLinks := true
      , supportsCyclicTraversal := true
      , requiresGuardedTraversal := false
      , maximumDelayMass := Q16_16.maxValue } }

end Semantics.SubstrateProfile