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68 lines
1.9 KiB
Text
68 lines
1.9 KiB
Text
/-
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SLUQ.lean - SLUQ Decision Engine Formalization
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-/
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import Semantics.Bind
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namespace Semantics.SLUQ
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inductive SLUQState
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| Stable -- 00 : Cool, reliable
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| Rising -- 01 : Warming, monitor
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| Unstable -- 10 : Overheating
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| Reset -- 11 : Snapped
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deriving Repr, DecidableEq, Inhabited
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inductive CMYK
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| K
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| C
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| M
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| Y
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deriving Repr, DecidableEq, Inhabited
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structure SluqNode where
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acc : UInt16
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phi : UInt8
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selectionCount : UInt32
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deriving Repr, DecidableEq, Inhabited
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def evaluateState (acc : UInt16) : SLUQState :=
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if acc.toNat < 0x4000 then .Stable
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else if acc.toNat < 0x8000 then .Rising
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else if acc.toNat < 0xC000 then .Unstable
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else .Reset
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def evaluateStateInt (acc : UInt16) : UInt8 :=
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if acc.toNat < 0x4000 then 0
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else if acc.toNat < 0x8000 then 1
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else if acc.toNat < 0xC000 then 2
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else 3
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def updateNode (node : SluqNode) (value : UInt8) : SluqNode :=
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let increase := value.toUInt16 * node.phi.toUInt16
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let newAcc := node.acc + increase
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let state := evaluateState newAcc
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if state == .Reset then
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{ node with acc := 0, selectionCount := node.selectionCount + 1 }
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else
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{ node with acc := newAcc, selectionCount := node.selectionCount + 1 }
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def tempQ16 (acc : UInt16) : UInt32 :=
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-- Normalize to Q16.16 (65536 is 1.0)
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-- Since max acc is 65535, we can just use acc directly as the fractional part
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-- 0xFFFF -> ~1.0 in Q16.16
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acc.toUInt32
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def sluqCost (nodeA nodeB : SluqNode) (_metric : Metric) : UInt32 :=
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let diff := if nodeB.acc > nodeA.acc then nodeB.acc - nodeA.acc else nodeA.acc - nodeB.acc
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diff.toUInt32
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def sluqInvariant (node : SluqNode) : String :=
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let st := evaluateStateInt node.acc
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s!"state={st},acc={node.acc}"
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def sluqBind (nodeA nodeB : SluqNode) (metric : Metric) : Bind SluqNode SluqNode :=
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thermodynamicBind nodeA nodeB metric sluqCost sluqInvariant sluqInvariant
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#eval updateNode { acc := 0x3FFF, phi := 10, selectionCount := 5 } 1
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end Semantics.SLUQ
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