import Semantics.FixedPoint import Lean.Data.Json namespace Semantics.EfficiencyAnalysis open Semantics.Q16_16 open Lean -- ═══════════════════════════════════════════════════════════════════════════ -- §1 Efficiency Structures -- ═══════════════════════════════════════════════════════════════════════════ structure SabotagePreventionGains where efficiencyGain : Semantics.Q16_16 connectivityGain : Semantics.Q16_16 attacksBlocked : Nat deriving Repr, Inhabited, ToJson, FromJson structure ServiceRestorationGains where capacityGain : Semantics.Q16_16 restorationBenefit : Semantics.Q16_16 deriving Repr, Inhabited, ToJson, FromJson structure SyncAttackPreventionGains where connectivityGain : Semantics.Q16_16 efficiencyGain : Semantics.Q16_16 attacksPrevented : Nat deriving Repr, Inhabited, ToJson, FromJson structure EnergyTrackingGains where energyReduction : Semantics.Q16_16 efficiencyImprovement : Semantics.Q16_16 deriving Repr, Inhabited, ToJson, FromJson structure EfficiencySummary where sabotageGains : SabotagePreventionGains restorationGains : ServiceRestorationGains syncGains : SyncAttackPreventionGains energyGains : EnergyTrackingGains overallEfficiencyGain : Semantics.Q16_16 overallConnectivityGain : Semantics.Q16_16 totalAttacksPrevented : Nat deriving Repr, Inhabited, ToJson, FromJson -- ═══════════════════════════════════════════════════════════════════════════ -- §2 Calculations -- ═══════════════════════════════════════════════════════════════════════════ def calculateSabotagePreventionGains (baselineEfficiency baselineConnectivity afterSabotageEfficiency afterSabotageConnectivity : Semantics.Q16_16) : SabotagePreventionGains := let efficiencyGain := baselineEfficiency - afterSabotageEfficiency let connectivityGain := baselineConnectivity - afterSabotageConnectivity let hundred := ofNat 100 let efficiencyImprovementPct := if afterSabotageEfficiency == zero then zero else (efficiencyGain * hundred) / afterSabotageEfficiency let connectivityImprovementPct := if afterSabotageConnectivity == zero then zero else (connectivityGain * hundred) / afterSabotageConnectivity { efficiencyGain := efficiencyImprovementPct, connectivityGain := connectivityImprovementPct, attacksBlocked := 3 } def calculateServiceRestorationGains (baselineServices disabledServices : Nat) : ServiceRestorationGains := let baselineCapacity := baselineServices - disabledServices let restoredCapacity := baselineServices let capacityGain := ofNat (restoredCapacity - baselineCapacity) let hundred := ofNat 100 let capacityImprovementPct := if baselineCapacity = 0 then zero else (capacityGain * hundred) / ofNat baselineCapacity { capacityGain := capacityImprovementPct, restorationBenefit := ofFloat 1.2 } def calculateSyncAttackPreventionGains (baselineConnectivity baselineEfficiency worstConnectivity worstEfficiency : Semantics.Q16_16) : SyncAttackPreventionGains := let connectivityGain := baselineConnectivity - worstConnectivity let efficiencyGain := baselineEfficiency - worstEfficiency let hundred := ofNat 100 let connectivityImprovementPct := if worstConnectivity == zero then zero else (connectivityGain * hundred) / worstConnectivity let efficiencyImprovementPct := if worstEfficiency == zero then zero else (efficiencyGain * hundred) / worstEfficiency { connectivityGain := connectivityImprovementPct, efficiencyGain := efficiencyImprovementPct, attacksPrevented := 2 } def calculateEnergyTrackingGains (baselineEnergyPerTask baselineEfficiency trackedEnergyPerTask trackedEfficiency : Semantics.Q16_16) : EnergyTrackingGains := let energyReduction := baselineEnergyPerTask - trackedEnergyPerTask let hundred := ofNat 100 let energyReductionPct := if baselineEnergyPerTask == zero then zero else (energyReduction * hundred) / baselineEnergyPerTask let efficiencyImprovement := trackedEfficiency - baselineEfficiency let efficiencyImprovementPct := if baselineEfficiency == zero then zero else (efficiencyImprovement * hundred) / baselineEfficiency { energyReduction := energyReductionPct, efficiencyImprovement := efficiencyImprovementPct } def generateEfficiencySummary (sabotage : SabotagePreventionGains) (restoration : ServiceRestorationGains) (sync : SyncAttackPreventionGains) (energy : EnergyTrackingGains) : EfficiencySummary := let overallEfficiencyGain := (sabotage.efficiencyGain + sync.efficiencyGain + energy.efficiencyImprovement) / ofNat 3 let overallConnectivityGain := (sabotage.connectivityGain + sync.connectivityGain) / ofNat 2 let totalAttacksPrevented := sabotage.attacksBlocked + sync.attacksPrevented { sabotageGains := sabotage, restorationGains := restoration, syncGains := sync, energyGains := energy, overallEfficiencyGain := overallEfficiencyGain, overallConnectivityGain := overallConnectivityGain, totalAttacksPrevented := totalAttacksPrevented } end Semantics.EfficiencyAnalysis