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9eeb9c7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | import OAI.Analysis.IrrationalRotation.Model.BackgroundData
import OAI.Analysis.IrrationalRotation.Model.ParameterSmoothing
namespace OAI
noncomputable section
namespace Invariant233.CircleParameterData
def rawCost (p : CircleParameterData) (θ : ℝ) (x : Circle) : ℝ :=
∑' n : ℕ, p.rawBlock θ (n + 1) x
def continuousCost (p : CircleParameterData) (θ : ℝ) (d : BackgroundBumpData θ)
(x : Circle) : ℝ :=
backgroundCost d x + ∑' n : ℕ, p.relocatedBlock θ (n + 1) x
def continuousTransfer (p : CircleParameterData) (θ : ℝ) (d : BackgroundBumpData θ)
(x : Circle) : ℝ :=
backgroundTransferSum d x - ∑' n : ℕ,
(p.smoothBlockTransfer θ (n + 1) x + p.relocatedBlockTransfer θ (n + 1) x)
def continuousWeight (p : CircleParameterData) (θ : ℝ) (d : BackgroundBumpData θ) :
Circle → ℝ :=
Function.update (fun x => Real.exp (-p.continuousCost θ d x)) 0 0
end Invariant233.CircleParameterData
end
end OAI
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