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117 lines
3.5 KiB
Text
117 lines
3.5 KiB
Text
import Semantics.PhysicsScalarBridge
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import Semantics.RegimeCore
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import Semantics.ManifoldPotential
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import Semantics.ManifoldStructures
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import Semantics.Errors
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namespace Semantics.CausalGeometry
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open Semantics.PhysicsScalar
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open Semantics.RegimeCore
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open Semantics.ManifoldPotential
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open Semantics.ManifoldStructures
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open Semantics.Errors
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abbrev CausalId := UInt16
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abbrev NodeId := UInt16
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inductive CausalCurvature
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| flat
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| convergent
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| divergent
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| singular
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| chaotic
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deriving DecidableEq
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inductive CausalRegime
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| linear
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| gated
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| entrained
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| reconnected
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| collapsed
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deriving DecidableEq
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structure CausalCone where
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forwardWeight : PhysicsScalar.Q16_16
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backwardWeight : PhysicsScalar.Q16_16
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lateralWeight : PhysicsScalar.Q16_16
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coherence : PhysicsScalar.Q16_16
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deriving DecidableEq
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structure CausalNode where
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nodeId : NodeId
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label : String
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regionId : RegionId
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potential : ManifoldPotential
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cone : CausalCone
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structure CausalLayer where
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layerId : CausalId
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nodes : List CausalNode
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globalCurvature : PhysicsScalar.Q16_16
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structure CausalSignature where
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nodeCount : UInt16
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avgForwardWeight : PhysicsScalar.Q16_16
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avgCoherence : PhysicsScalar.Q16_16
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maxCurvature : PhysicsScalar.Q16_16
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aliasDetected : Bool
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scaffoldingRole : ErrorScaffoldingRole
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structure CausalTransitionRequest where
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source : CausalLayer
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target : CausalLayer
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boundary : BoundaryLayer
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errorField? : Option ErrorField
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structure CausalTransitionResult where
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accepted : Bool
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mergedLayer : CausalLayer
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signature : CausalSignature
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stability : PotentialStability
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requiresAttention : Bool
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def nodeCoherenceOf (node : CausalNode) : PhysicsScalar.Q16_16 :=
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let base := node.cone.coherence
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let bias := node.potential.gradient.coherence
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PhysicsScalarBridge.avg base bias
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def classifyCausalCurvature (cone : CausalCone) : CausalCurvature :=
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if PhysicsScalarBridge.gt cone.forwardWeight (PhysicsScalarBridge.add PhysicsScalarBridge.one PhysicsScalarBridge.half) then .convergent
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else if PhysicsScalarBridge.gt cone.lateralWeight PhysicsScalarBridge.one then .chaotic
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else if PhysicsScalarBridge.gt cone.backwardWeight PhysicsScalarBridge.one then .divergent
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else .flat
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def causalSignatureOf (layer : CausalLayer) : CausalSignature :=
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let count := layer.nodes.length
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let forwardSum := layer.nodes.foldl (fun acc node => PhysicsScalarBridge.addSaturating acc node.cone.forwardWeight) PhysicsScalarBridge.zero
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let coherenceSum := layer.nodes.foldl (fun acc node => PhysicsScalarBridge.addSaturating acc (nodeCoherenceOf node)) PhysicsScalarBridge.zero
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let div := if count = 0 then 1 else count
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{ nodeCount := UInt16.ofNat count
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, avgForwardWeight := PhysicsScalarBridge.divQ16_16 forwardSum (UInt32.ofNat div)
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, avgCoherence := PhysicsScalarBridge.divQ16_16 coherenceSum (UInt32.ofNat div)
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, maxCurvature := layer.globalCurvature
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, aliasDetected := false
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, scaffoldingRole := .none }
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def mergeLayers (request : CausalTransitionRequest) : CausalLayer :=
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let mergedNodes := request.source.nodes ++ request.target.nodes
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{ layerId := request.source.layerId
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, nodes := mergedNodes
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, globalCurvature := PhysicsScalarBridge.avg request.source.globalCurvature request.target.globalCurvature }
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def processCausalTransition (request : CausalTransitionRequest) : CausalTransitionResult :=
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let merged := mergeLayers request
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let signature := causalSignatureOf merged
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{ accepted := true
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, mergedLayer := merged
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, signature := signature
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, stability := .pStable
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, requiresAttention := false }
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end Semantics.CausalGeometry
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