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143 lines
4.8 KiB
Text
143 lines
4.8 KiB
Text
import Semantics.PhysicsScalarBridge
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import Semantics.RegimeCore
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import Semantics.BoundaryDynamics
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import Semantics.MagnetoPlasma
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import Semantics.ExoticSpacetime
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import Semantics.SpikingDynamics
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import Semantics.ElectromagneticSpectrum
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namespace Semantics.MultiBodyField
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open Semantics.PhysicsScalar
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open Semantics.RegimeCore
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open Semantics.BoundaryDynamics
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open Semantics.MagnetoPlasma
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open Semantics.ExoticSpacetime
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open Semantics.SpikingDynamics
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open Semantics.ElectromagneticSpectrum
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abbrev FieldIntensity := PhysicsScalar.Q16_16
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abbrev BodyId := UInt16
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inductive FieldInteractionClass
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| elastic
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| plasma
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| spectral
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| temporal
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| causal
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deriving DecidableEq
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structure FieldBody where
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bodyId : BodyId
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label : String
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regionId : RegionId
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mass : PhysicsScalar.Q16_16
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charge : PhysicsScalar.Q16_16
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potential : PhysicsScalar.Q16_16
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velocity : PhysicsScalar.Q16_16
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magnetoSignature? : Option MagnetoPlasmaSignature
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spikeEvent? : Option SpikeEvent
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inductive FieldSymmetry
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| isotropic
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| axial
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| planar
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| chiral
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| chaotic
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deriving DecidableEq
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structure MultiBodyAssembly (n : Nat) where
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bodies : Array FieldBody
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boundaries : Array BoundaryLayer
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interactionClass : FieldInteractionClass
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symmetry : FieldSymmetry
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globalPotential : PhysicsScalar.Q16_16
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structure InteractionResult where
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netForce : PhysicsScalar.Q16_16
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potentialShift : PhysicsScalar.Q16_16
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reconnectionDetected : Bool
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aliasingDetected : Bool
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deriving Repr, DecidableEq
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structure MultiBodySignature where
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bodyCount : UInt16
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criticalPressure : PhysicsScalar.Q16_16
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spectralCoherence : PhysicsScalar.Q16_16
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magnetoAlignment : PhysicsScalar.Q16_16
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deriving Repr, DecidableEq
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def interactionEffectiveMass (body : FieldBody) : PhysicsScalar.Q16_16 :=
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match body.magnetoSignature? with
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| none => body.mass
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| some signature =>
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PhysicsScalarBridge.addSaturating body.mass (PhysicsScalarBridge.mulQ16_16 signature.reconnectionPotential signature.loopCoherence)
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def interactionEffectiveCharge (body : FieldBody) : PhysicsScalar.Q16_16 :=
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match body.spikeEvent? with
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| none => body.charge
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| some event =>
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PhysicsScalarBridge.addSaturating body.charge event.intensity
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def bodyDistance (b1 b2 : FieldBody) : PhysicsScalar.Q16_16 :=
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PhysicsScalarBridge.absDiff b1.potential b2.potential
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def interactionMagnitude (b1 b2 : FieldBody) (interactionClass : FieldInteractionClass) : PhysicsScalar.Q16_16 :=
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let m1 := interactionEffectiveMass b1
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let m2 := interactionEffectiveMass b2
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let q1 := interactionEffectiveCharge b1
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let q2 := interactionEffectiveCharge b2
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let r := bodyDistance b1 b2
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let baseForce :=
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match interactionClass with
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| FieldInteractionClass.elastic => PhysicsScalarBridge.mulQ16_16 m1 m2
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| FieldInteractionClass.plasma => PhysicsScalarBridge.mulQ16_16 q1 q2
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| _ => PhysicsScalarBridge.avg (PhysicsScalarBridge.mulQ16_16 m1 m2) (PhysicsScalarBridge.mulQ16_16 q1 q2)
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if PhysicsScalarBridge.lt r PhysicsScalarBridge.quarter then
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PhysicsScalarBridge.mulQ16_16 baseForce PhysicsScalarBridge.four
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else
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baseForce
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def bodyInteraction (b1 b2 : FieldBody) (interactionClass : FieldInteractionClass) : InteractionResult :=
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let force := interactionMagnitude b1 b2 interactionClass
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let reconnection :=
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match b1.magnetoSignature?, b2.magnetoSignature? with
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| some s1, some s2 => PhysicsScalarBridge.ge s1.reconnectionPotential PhysicsScalarBridge.half && PhysicsScalarBridge.ge s2.reconnectionPotential PhysicsScalarBridge.half
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| _, _ => false
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let aliasing := b1.regionId = b2.regionId && b1.bodyId != b2.bodyId
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{ netForce := force
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, potentialShift := PhysicsScalarBridge.divQ16_16 force PhysicsScalarBridge.two
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, reconnectionDetected := reconnection
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, aliasingDetected := aliasing }
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def assemblyStability (assembly : MultiBodyAssembly n) : Bool :=
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match assembly.interactionClass with
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| FieldInteractionClass.causal => PhysicsScalarBridge.le assembly.globalPotential PhysicsScalarBridge.three
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| _ => PhysicsScalarBridge.le assembly.globalPotential PhysicsScalarBridge.four
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def interactionCoupling (assembly : MultiBodyAssembly n) : PhysicsScalar.Q16_16 :=
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match assembly.symmetry with
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| FieldSymmetry.chaotic => PhysicsScalarBridge.addSaturating assembly.globalPotential PhysicsScalarBridge.one
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| FieldSymmetry.isotropic => PhysicsScalarBridge.divQ16_16 assembly.globalPotential PhysicsScalarBridge.two
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| _ => assembly.globalPotential
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def multiBodySignatureOf
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(assembly : MultiBodyAssembly n)
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(sample? : Option ElectromagneticSample) : MultiBodySignature :=
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let bodyCount := UInt16.ofNat assembly.bodies.size
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let coherence := match sample? with | some s => s.bandProfile.intensity | none => PhysicsScalarBridge.zero
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{ bodyCount := bodyCount
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, criticalPressure := assembly.globalPotential
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, spectralCoherence := coherence
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, magnetoAlignment := PhysicsScalarBridge.half }
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end Semantics.MultiBodyField
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