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WallCrossingEngine

Struct WallCrossingEngine 

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pub struct WallCrossingEngine {
    pub grassmannian: (usize, usize),
}
Expand description

Engine for computing wall-crossing phenomena.

Analyzes how the set of stable capabilities changes as the trust level varies.

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§grassmannian: (usize, usize)

Grassmannian parameters

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impl WallCrossingEngine

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pub fn new(grassmannian: (usize, usize)) -> Self

Create a new wall-crossing engine.

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pub fn compute_walls(&self, namespace: &Namespace) -> Vec<Wall>

Compute all walls for the capabilities in a namespace.

A wall occurs at trust level t where the phase of some capability equals 0 or 1, causing a stability transition.

The wall for σ_λ occurs where:

arg(Z_t(σ_λ)) = 0 or π

i.e., where t · dim(σ_λ) / codim(σ_λ) reaches critical values.

§Contract
ensures: walls are sorted by trust_level
ensures: each wall corresponds to exactly one capability
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pub fn stable_count_at(&self, namespace: &Namespace, trust_level: f64) -> usize

Compute the number of stable capabilities at a given trust level.

§Contract
ensures: result <= namespace.capabilities.len()
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pub fn phase_diagram(&self, namespace: &Namespace) -> Vec<(f64, usize)>

Compute the phase diagram: piecewise-constant function trust_level → count of stable capabilities.

Returns sorted (trust_level, count) breakpoints.

§Contract
ensures: result is sorted by trust_level (first component)
ensures: result.len() >= 1

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impl Clone for WallCrossingEngine

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fn clone(&self) -> WallCrossingEngine

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for WallCrossingEngine

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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<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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. 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> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. 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.