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185 lines
6.5 KiB
Text
185 lines
6.5 KiB
Text
import Semantics.PhysicsScalar
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import Semantics.RegimeCore
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import Semantics.ElectromagneticSpectrum
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import Semantics.BoundaryDynamics
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import Semantics.CriticalityDynamics
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import Semantics.MagnetoPlasma
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import Semantics.MultiBodyField
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import Semantics.FixedPoint
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import Semantics.ManifoldStructures
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namespace Semantics.CosmicStructure
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open Semantics.PhysicsScalar
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open Semantics.RegimeCore
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open Semantics.ElectromagneticSpectrum
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open Semantics.BoundaryDynamics
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open Semantics.CriticalityDynamics
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open Semantics.MagnetoPlasma
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open Semantics.MultiBodyField
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open Semantics.ManifoldStructures
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abbrev CosmicStructureId := UInt16
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abbrev CosmicZoneId := UInt16
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inductive CosmicFlavor
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| diffuseHalo
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| filamentNetwork
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| clusterMedium
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| magnetizedAssembly
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| radiativeShell
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| criticalLattice
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| boundaryWeb
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deriving DecidableEq
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inductive CosmicMorphology
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| cloud
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| tendril
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| sheath
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| loop
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| web
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| shell
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| coreHalo
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deriving DecidableEq
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inductive CosmicStability
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| csStable
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| csMetastable
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| csUnstable
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| csEruptive
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| csCollapsed
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deriving DecidableEq
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structure CosmicZone where
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zoneId : CosmicZoneId
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label : String
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assignment : RegionAssignment
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flavor : CosmicFlavor
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morphology : CosmicMorphology
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baseDensity : PhysicsScalar.Q16_16
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baseTemperature : PhysicsScalar.Q16_16
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deriving DecidableEq
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structure CosmicSignature where
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bodyCount : UInt16
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boundaryFluidity : PhysicsScalar.Q16_16
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criticality : PhysicsScalar.Q16_16
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spectralCoherence : PhysicsScalar.Q16_16
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magnetoAlignment : PhysicsScalar.Q16_16
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densityContrast : PhysicsScalar.Q16_16
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emissionStrength : PhysicsScalar.Q16_16
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deriving DecidableEq
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structure CosmicStructure (n : Nat) where
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structureId : CosmicStructureId
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label : String
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assembly : MultiBodyAssembly n
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zones : List CosmicZone
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sample? : Option ElectromagneticSample
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structure CosmicTransitionRequest (n : Nat) where
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cosmicStructure : CosmicStructure n
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injectedSample? : Option ElectromagneticSample
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preferReconnection : Bool
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preferCriticalRedistribution : Bool
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structure CosmicTransitionResult (n : Nat) where
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cosmicStructure : CosmicStructure n
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signature : CosmicSignature
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stability : CosmicStability
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admitted : Bool
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def zoneBoundaryFluidity
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(assembly : MultiBodyAssembly n)
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(zone : CosmicZone) : PhysicsScalar.Q16_16 :=
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let zId := zone.assignment.regionId
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let matching := assembly.boundaries.toList.filter (fun (b : BoundaryLayer) => b.sourceRegionId = zId || b.targetRegionId = zId)
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let fluiditySum := matching.foldl (fun acc (b : BoundaryLayer) => PhysicsScalar.Q16_16.addSaturating acc b.fluidity) PhysicsScalar.Q16_16.zero
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if matching.isEmpty then PhysicsScalar.Q16_16.zero else PhysicsScalar.Q16_16.divQ16_16 fluiditySum (UInt32.ofNat matching.length)
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def zoneDensityContrast (zone : CosmicZone) : PhysicsScalar.Q16_16 :=
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PhysicsScalar.Q16_16.absDiff zone.baseDensity zone.baseTemperature
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def zoneEmissionStrength
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(zone : CosmicZone)
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(sample? : Option ElectromagneticSample) : PhysicsScalar.Q16_16 :=
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let sampleStrength :=
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match sample? with
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| none => PhysicsScalar.Q16_16.zero
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| some sample => sample.bandProfile.intensity
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PhysicsScalar.Q16_16.mean3 zone.baseDensity zone.baseTemperature sampleStrength
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def cosmicSignatureOf
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(s : CosmicStructure n) : CosmicSignature :=
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let assemblySignature := multiBodySignatureOf s.assembly s.sample?
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let bodyCount := assemblySignature.bodyCount
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let zoneCount := s.zones.length
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let fluiditySum := s.zones.foldl (fun acc zone => PhysicsScalar.Q16_16.addSaturating acc (zoneBoundaryFluidity s.assembly zone)) PhysicsScalar.Q16_16.zero
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let densitySum := s.zones.foldl (fun acc zone => PhysicsScalar.Q16_16.addSaturating acc (zoneDensityContrast zone)) PhysicsScalar.Q16_16.zero
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let emissionSum := s.zones.foldl (fun acc zone => PhysicsScalar.Q16_16.addSaturating acc (zoneEmissionStrength zone s.sample?)) PhysicsScalar.Q16_16.zero
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let zoneDiv := if zoneCount = 0 then 1 else zoneCount
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{ bodyCount := bodyCount
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, boundaryFluidity := PhysicsScalar.Q16_16.divQ16_16 fluiditySum (UInt32.ofNat zoneDiv)
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, criticality := assemblySignature.criticalPressure
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, spectralCoherence := assemblySignature.spectralCoherence
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, magnetoAlignment := assemblySignature.magnetoAlignment
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, densityContrast := PhysicsScalar.Q16_16.divQ16_16 densitySum (UInt32.ofNat zoneDiv)
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, emissionStrength := PhysicsScalar.Q16_16.divQ16_16 emissionSum (UInt32.ofNat zoneDiv) }
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def classifyCosmicStability (signature : CosmicSignature) : CosmicStability :=
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if PhysicsScalar.Q16_16.ge signature.criticality PhysicsScalar.Q16_16.one then
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.csCollapsed
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else if PhysicsScalar.Q16_16.ge signature.criticality (PhysicsScalar.Q16_16.add PhysicsScalar.Q16_16.half PhysicsScalar.Q16_16.quarter) && PhysicsScalar.Q16_16.ge signature.boundaryFluidity PhysicsScalar.Q16_16.half then
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.csEruptive
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else if PhysicsScalar.Q16_16.ge signature.criticality PhysicsScalar.Q16_16.half then
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.csUnstable
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else if PhysicsScalar.Q16_16.ge signature.magnetoAlignment PhysicsScalar.Q16_16.half && PhysicsScalar.Q16_16.ge signature.spectralCoherence PhysicsScalar.Q16_16.quarter then
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.csStable
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else
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.csMetastable
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def processCosmicTransition
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(request : CosmicTransitionRequest n) : CosmicTransitionResult n :=
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let s := request.cosmicStructure
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let sample? := match request.injectedSample? with | some sj => some sj | none => s.sample?
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let updatedStructure := { s with sample? := sample? }
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let signature := cosmicSignatureOf updatedStructure
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let stability := classifyCosmicStability signature
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let admitted :=
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match updatedStructure.zones.head? with
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| none => true
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| some zone =>
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match zone.flavor with
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| .criticalLattice => request.preferCriticalRedistribution || PhysicsScalar.Q16_16.ge signature.criticality PhysicsScalar.Q16_16.quarter
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| .boundaryWeb => request.preferReconnection || PhysicsScalar.Q16_16.ge signature.boundaryFluidity PhysicsScalar.Q16_16.quarter
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| _ => true
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{ cosmicStructure := updatedStructure
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, signature := signature
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, stability := stability
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, admitted := admitted }
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def defaultHaloZone (assignment : RegionAssignment) : CosmicZone :=
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{ zoneId := 1
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, label := "defaultHaloZone"
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, assignment := assignment
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, flavor := .diffuseHalo
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, morphology := .coreHalo
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, baseDensity := PhysicsScalar.Q16_16.half
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, baseTemperature := PhysicsScalar.Q16_16.half }
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def defaultCosmicStructure (assembly : MultiBodyAssembly n) (assignment : RegionAssignment) : CosmicStructure n :=
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{ structureId := 1
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, label := "defaultCosmicStructure"
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, assembly := assembly
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, zones := [defaultHaloZone assignment]
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, sample? := none }
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end Semantics.CosmicStructure
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