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PolynomialFit

Struct PolynomialFit 

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pub struct PolynomialFit {
    pub coefficients: [f64; 3],
    pub confidence: f64,
}
Expand description

A polynomial fitted to a set of weighted points, and how well it fits.

Only what the velocity estimate needs: degree ≤ 2, so three coefficients.

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§coefficients: [f64; 3]

coefficients[i] multiplies xⁱ.

§confidence: f64

The fraction of the data’s variance the fit explains (an r-squared), in 0..=1. Higher is better.

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impl PolynomialFit

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pub fn solve(x: &[f64], y: &[f64], degree: usize) -> Option<PolynomialFit>

Fits a polynomial of degree (≤ 2) to (x, y) by least squares, all points weighted equally. None when there is not enough data, or when the points are degenerate (all at the same instant, say).

The method is a QR decomposition by Gram–Schmidt, then back-substitution — the standard approach, and numerically far better behaved than forming and inverting the normal equations. It runs in f64 even though frus is f32 throughout: orthogonalising powers of the abscissae loses precision quickly, and this is the number every fling depends on.

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impl Clone for PolynomialFit

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fn clone(&self) -> Self

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 Copy for PolynomialFit

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impl Debug for PolynomialFit

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

Formats the value using the given formatter. Read more
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impl PartialEq for PolynomialFit

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fn eq(&self, other: &Self) -> bool

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
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impl StructuralPartialEq for PolynomialFit

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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 = !

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

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.