Draft: XPR in Elixir

defmodule AveragableLerpable do
  @callback average(a :: any(), b :: any(), t :: number()) :: any()
  @callback lerp(a :: any(), b :: any(), t :: number()) :: any()
  @callback spherical_interpolate(a :: any(), b :: any(), t :: number()) :: any()
  @callback spherical_cubic_interpolate(a :: any(), b :: any(), c :: any(), d :: any(), t1 :: number(), t2 :: number(), t3 :: number(), t4 :: number()) :: any()
  @callback cubic_interpolate(a :: any(), b :: any(), c :: any(), d :: any(), t1 :: number(), t2 :: number(), t3 :: number(), t4 :: number()) :: any()
end

defmodule Rotation6D do
  @behavior AveragableLerpable

  defstruct [:x1, :y1, :z1, :x2, :y2, :z2]

  # Implement the required methods here
end

defmodule Position3D do
  @behavior AveragableLerpable

  defstruct [:x, :y, :z]

  # Implement the required methods here
end

defmodule LightCone do
  @type t :: %{
          count: [AveragableLerpable.t()],
          accumulate: [function()],
          array: [AveragableLerpable.t()],
          set: MapSet.t(any())
        }
end

@type event ::
        {:expand}
        | {:superposition}
        | {:spacetime_bubble}
        | {:light_cone}
        | {:collapse}
        | {:avg_lerp}
        | {:plus}
        | {:union}

defmodule PropagateFilter do
  use Membrane.Filter

  @impl true
  def handle_init(_) do
    {:ok, %{}}
  end

  @impl true
  def handle_demand(:output, size, :buffers, _ctx) do
    {{:ok, demand: {:input, size}}, %{}}
  end

  @impl true
  def handle_process(:input, buffer, _ctx) do
    # Process the input data and generate the output data
    output_data = process(buffer.payload)

    # Create a new buffer with the output data
    output_buffer = %Membrane.Buffer{payload: output_data}

    {{:ok, buffer: {:output, output_buffer}}, %{}}
  end

  defp process(input_data) do
    # Implement your processing logic here
    # For example, if input_data is a list of numbers, you can calculate their sum:
    Enum.reduce(input_data, 0, &(&1 + &2))
  end
end


defmodule XprPipeline do
  use Membrane.Pipeline

  alias Membrane.Element.Tee.Master
  alias Membrane.Element.Funnel
  alias Membrane.Element.Clock

  @impl true
  def handle_init(_) do
    children = [
      clock: Clock,
      light_cone: LightConeElement,
      expanding: ExpandingElement,
      collapsing: CollapsingElement,
      reduce: ReduceElement,
      update: UpdateElement,
      tee: Master,
      funnel: Funnel,
      propagate: PropagateFilter
    ]

    links = [
      link(:clock)
      |> via_out(:tick, options: [interval: 1000]) # Adjust the interval as needed
      |> to(:tee)
      |> to(:expanding)
      |> to(:light_cone)
      |> to(:collapsing)
      |> to(:reduce)
      |> to(:propagate)
      |> to(:funnel)
      |> to(:update)
    ]

    {{:ok, %ParentSpec{children: children, links: links}}, %{}}
  end
end