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defmodule ExWebRTC.RTP.JitterBuffer.Heap do | ||
@moduledoc false | ||
# Implementation of a heap (min-heap by default) | ||
# | ||
# At the moment, this module uses a regular `Map` (with O(log n) access) to store the data. | ||
# | ||
# TODO: Run performance tests and determine if it would be better to use: | ||
# - ETS | ||
# - :array | ||
# - some other data structure? | ||
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@type comparator :: (term(), term() -> boolean()) | ||
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@opaque t :: %__MODULE__{ | ||
comparator: comparator(), | ||
tree: %{non_neg_integer() => term()} | ||
} | ||
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defstruct [:comparator, :tree] | ||
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defimpl Enumerable do | ||
alias ExWebRTC.RTP.JitterBuffer.Heap | ||
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def count(heap), do: {:ok, map_size(heap.tree)} | ||
def member?(heap, elem), do: {:ok, heap.tree |> Map.values() |> Enum.member?(elem)} | ||
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def reduce(_heap, {:halt, acc}, _fun), do: {:halted, acc} | ||
def reduce(heap, {:suspend, acc}, fun), do: {:suspended, acc, &reduce(heap, &1, fun)} | ||
def reduce(heap, {:cont, acc}, _fun) when map_size(heap.tree) == 0, do: {:done, acc} | ||
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def reduce(heap, {:cont, acc}, fun) do | ||
elem = Heap.root(heap) | ||
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heap |> Heap.pop() |> reduce(fun.(elem, acc), fun) | ||
end | ||
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def slice(_heap), do: {:error, __MODULE__} | ||
end | ||
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@spec new(comparator()) :: t() | ||
def new(comparator \\ &</2) do | ||
%__MODULE__{ | ||
comparator: comparator, | ||
tree: %{} | ||
} | ||
end | ||
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@spec root(t()) :: term() | ||
def root(heap) do | ||
heap.tree[0] | ||
end | ||
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@spec size(t()) :: non_neg_integer() | ||
def size(heap) do | ||
map_size(heap.tree) | ||
end | ||
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@spec push(t(), term()) :: t() | ||
def push(heap, elem) do | ||
idx = map_size(heap.tree) | ||
tree = Map.put(heap.tree, idx, elem) | ||
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restore_heap(%{heap | tree: tree}, idx) | ||
end | ||
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@spec pop(t()) :: t() | ||
def pop(heap) | ||
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def pop(heap) when map_size(heap.tree) < 2, do: %{heap | tree: %{}} | ||
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def pop(heap) do | ||
last_idx = map_size(heap.tree) - 1 | ||
%{0 => _first, ^last_idx => last} = heap.tree | ||
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tree = | ||
heap.tree | ||
|> Map.delete(last_idx) | ||
|> Map.put(0, last) | ||
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heapify(%{heap | tree: tree}, 0) | ||
end | ||
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defp restore_heap(heap, 0), do: heap | ||
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defp restore_heap(heap, idx) do | ||
p = parent(idx) | ||
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heap | ||
|> heapify(p) | ||
|> restore_heap(p) | ||
end | ||
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defp heapify(heap, i) do | ||
n = map_size(heap.tree) | ||
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max_idx = | ||
[i, left(i), right(i)] | ||
|> Stream.filter(&(&1 < n)) | ||
|> Enum.max_by(&heap.tree[&1], heap.comparator, fn -> nil end) | ||
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if max_idx != i do | ||
%{^i => t1, ^max_idx => t2} = heap.tree | ||
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tree = | ||
heap.tree | ||
|> Map.put(i, t2) | ||
|> Map.put(max_idx, t1) | ||
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heapify(%{heap | tree: tree}, max_idx) | ||
else | ||
heap | ||
end | ||
end | ||
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defp left(i), do: 2 * i + 1 | ||
defp right(i), do: 2 * i + 2 | ||
defp parent(i), do: div(i - 1, 2) | ||
end |
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