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95 lines
2.6 KiB
Text
95 lines
2.6 KiB
Text
import Std
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/-!
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# SuperfluidSemanticKernel
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A minimal Lean-side receipt kernel for the Newtonian Superfluid Simulation adapter.
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This is not a proof that the simulation is a literal physical superfluid or that
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semantic mass is SI mass. It provides a fixed-point, finite-state gate for the
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custom semantic-mass stack.
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-/
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namespace SuperfluidSemanticKernel
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abbrev Q16 := UInt32
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def q16One : Q16 := 0x00010000
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def q16Zero : Q16 := 0
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structure SuperfluidSemanticState where
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nodeId : UInt32
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particleCount : UInt32
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massNumber : Q16
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semanticDensity : Q16
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torsion : Q16
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kineticPressure : Q16
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basinStrength : Q16
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receiptCoverage : Q16
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deriving Repr, DecidableEq
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inductive GateScope where
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| U_scope
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| V_scope
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deriving Repr, DecidableEq
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def hasFullReceipts (s : SuperfluidSemanticState) : Bool :=
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s.receiptCoverage >= q16One
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def gateOf (s : SuperfluidSemanticState) : GateScope :=
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if hasFullReceipts s then GateScope.V_scope else GateScope.U_scope
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/--
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A conservative route-admissibility gate.
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The state can route only if semantic mass and basin strength outweigh unresolved
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torsion, while still requiring receipts for V-scope promotion elsewhere.
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-/
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def routeAdmissible (s : SuperfluidSemanticState) : Bool :=
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let support := s.massNumber.toUInt64 + s.basinStrength.toUInt64
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let stress := s.torsion.toUInt64 + (q16One - s.receiptCoverage).toUInt64
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support > stress
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/-- Deterministic fallback state matching the JS/Python bridge shape. -/
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def fallbackState (nodeId : UInt32) : SuperfluidSemanticState :=
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{
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nodeId := nodeId,
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particleCount := 350,
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massNumber := 0x00008000,
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semanticDensity := 0x00008000,
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torsion := 0x00003000,
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kineticPressure := 0x00004000,
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basinStrength := 0x00006000,
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receiptCoverage := 0x00004000
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}
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@[export superfluid_mass_q16]
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def superfluidMassQ16 (nodeId : UInt32) : UInt32 :=
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(fallbackState nodeId).massNumber
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@[export superfluid_density_q16]
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def superfluidDensityQ16 (nodeId : UInt32) : UInt32 :=
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(fallbackState nodeId).semanticDensity
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@[export superfluid_torsion_q16]
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def superfluidTorsionQ16 (nodeId : UInt32) : UInt32 :=
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(fallbackState nodeId).torsion
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@[export superfluid_basin_q16]
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def superfluidBasinQ16 (nodeId : UInt32) : UInt32 :=
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(fallbackState nodeId).basinStrength
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@[export superfluid_gate_scope]
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def superfluidGateScope (nodeId : UInt32) : UInt32 :=
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match gateOf (fallbackState nodeId) with
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| GateScope.U_scope => 0
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| GateScope.V_scope => 1
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#eval superfluidMassQ16 1
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#eval superfluidDensityQ16 1
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#eval superfluidTorsionQ16 1
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#eval superfluidBasinQ16 1
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#eval superfluidGateScope 1
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end SuperfluidSemanticKernel
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