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RollingCovariance

Struct RollingCovariance 

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

Rolling covariance of the returns of two synchronised series.

Each update takes one (x, y) level pair, differences each channel into a one-step return, and reports the population covariance of those returns over the trailing window of period return pairs:

rxₜ = xₜ − xₜ₋₁          ryₜ = yₜ − yₜ₋₁
cov = (1/n) · Σ rx·ry − r̄x · r̄y

Unlike crate::RollingCorrelation the result is not normalised to [−1, 1]: it carries the units of the two return streams multiplied together, so it scales with volatility. It is the raw building block behind correlation, beta and portfolio variance — positive when the two return streams tend to move the same way, negative when they offset.

Each update is O(1): three running sums (Σrx, Σry, Σrxry) are maintained as the window slides. The first level in each channel produces no return, so a period-pair covariance needs period + 1 updates of warmup.

§Example

use wickra_core::{Indicator, RollingCovariance};

let mut rc = RollingCovariance::new(5).unwrap();
let mut last = None;
for i in 0..20 {
    let x = f64::from(i);
    last = rc.update((x, 3.0 * x)); // y's return is 3× x's return
}
// cov(rx, ry) = cov(1, 3) over constant unit returns = 3 · var(rx) = 0
// for a constant return; use a varying path in practice. Here returns are
// constant (1 and 3) ⇒ covariance 0.
assert!(last.unwrap().abs() < 1e-9);

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impl RollingCovariance

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pub fn new(period: usize) -> Result<RollingCovariance, Error>

Construct a new rolling return-covariance.

§Errors

Returns Error::InvalidPeriod if period < 2 — covariance is undefined for fewer than two return pairs.

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pub const fn period(&self) -> usize

Configured window of returns.

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impl Clone for RollingCovariance

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fn clone(&self) -> RollingCovariance

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

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

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

Formats the value using the given formatter. Read more
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impl Indicator for RollingCovariance

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type Input = (f64, f64)

Type of one input data point (typically f64 for a price, or Candle / Tick).
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type Output = f64

Type of one output value.
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fn update(&mut self, input: (f64, f64)) -> Option<f64>

Feed one new data point into the indicator and return the freshly computed output, or None if the indicator is still warming up.
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fn reset(&mut self)

Reset all internal state, leaving the indicator equivalent to a freshly constructed instance with the same parameters.
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fn warmup_period(&self) -> usize

Number of inputs required before the first non-None output can be produced.
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fn is_ready(&self) -> bool

Whether the indicator has emitted at least one value since the last reset.
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fn name(&self) -> &'static str

Stable, human-readable indicator name. Used by chaining and diagnostics.

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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> BatchExt for T
where T: Indicator,

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fn batch(&mut self, inputs: &[Self::Input]) -> Vec<Option<Self::Output>>
where Self::Input: Clone,

Run the indicator over a slice of inputs in order, returning one output (or None during warmup) per input.
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fn batch_parallel<F>( inputs_per_asset: &[Vec<Self::Input>], make: F, ) -> Vec<Vec<Option<Self::Output>>>
where Self: Sized + Send, Self::Input: Sync + Clone, Self::Output: Send, F: Fn() -> Self + Sync + Send,

Available on crate feature parallel only.
Run an independent copy of the indicator over each input series in parallel. 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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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

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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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type Owned = T

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fn to_owned(&self) -> T

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impl<T, U> TryFrom<U> for 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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where U: TryFrom<T>,

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

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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.