Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/RaycastField.lean

28 lines
790 B
Text

/-
RaycastField.lean - Fixed-Point Raycast Field Propagation
-/
import Semantics.FixedPoint
import Semantics.LocalDerivative
namespace Semantics.RaycastField
open Semantics.Q16_16
open Semantics.LocalDerivative
abbrev Scalar := Q16_16
structure ChannelField where
phase : Array Q16_16 → Q16_16
amplitude : Array Q16_16 → Q16_16
def sampleChannelField (_field : ChannelField) (_time : Scalar) : ChannelField :=
{ phase := fun _ => zero, amplitude := fun _ => zero }
def amplitudeMean (_field : ChannelField) : Scalar :=
zero
def inferLocalDerivativeFromMultiPath (_channel : ChannelField) (_time : Scalar) : LocalDerivative :=
{ jacobian := [[zero]], hessian := [[zero]], point := #[zero, zero, zero], stability := StabilityClass.stable }
end Semantics.RaycastField