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BDD

pub struct BDD { /* private fields */ }
Expand description

Binary Decision Diagram (BDD) for exact network reliability computation.

Represents the reliability function as an ordered BDD over edge boolean variables. Each variable x_e = 1 means edge e is functioning.

The BDD is built by Shannon expansion on each edge variable in order:

  • Set x_e = 1 (edge alive): recurse on remaining problem.
  • Set x_e = 0 (edge failed): recurse.
  • Merge isomorphic subgraphs (unique table) for compactness.

Reliability is computed by a single bottom-up traversal weighting each path by p_e^{x_e} (1−p_e)^{1−x_e}.

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impl BDD

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pub fn build_all_terminal(adj: &Array2<f64>) -> Result<Self>

Build a BDD for all-terminal reliability.

Only feasible for |E| ≤ 20.

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pub fn reliability(&self, probs: &[f64]) -> Result<f64>

Compute the all-terminal reliability R = E[connected(G_p)] using the BDD.

§Arguments
  • probs — survival probability for each edge, in the same order as the adjacency matrix edge enumeration (upper-triangle, row-major).
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pub fn size(&self) -> usize

Return the number of BDD nodes (size of the diagram).

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pub fn num_edges(&self) -> usize

Return the number of edges in the underlying network.

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pub fn num_network_nodes(&self) -> usize

Return the number of nodes in the underlying network.

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impl Debug for BDD

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl Freeze for BDD

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impl RefUnwindSafe for BDD

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impl Send for BDD

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impl Sync for BDD

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impl Unpin for BDD

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impl UnsafeUnpin for BDD

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impl UnwindSafe for BDD

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V