nyx_space::polyfit

Struct Polynomial

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pub struct Polynomial<const SIZE: usize> {
    pub coefficients: [f64; SIZE],
}
Expand description

Polynomial is a statically allocated polynomial.

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§coefficients: [f64; SIZE]

Coefficients are orders by their power, e.g. index 0 is to the power 0, 1 is linear, 2 is quadratic, etc.

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impl<const SIZE: usize> Polynomial<SIZE>

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pub fn from_most_significant(coeffs: [f64; SIZE]) -> Self

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pub const fn order(&self) -> usize

Get the order of the polynomial

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pub fn eval(&self, x: f64) -> f64

Evaluate the polynomial at the provided position

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pub fn deriv(&self, x: f64) -> f64

Evaluate the derivative at the provided position

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pub fn eval_n_deriv(&self, x: f64) -> (f64, f64)

Evaluate the polynomial and its derivative at the provided position

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pub fn zeros() -> Self

Initializes a Polynomial with only zeros

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pub fn zero_power(&mut self, i: usize)

Set the i-th power of this polynomial to zero (e.g. if i=0, set the x^0 coefficient to zero, i.e. the constant part goes to zero)

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pub fn zero_below_tolerance(&mut self, tol: f64)

Set all of the coefficients below this tolerance to zero

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pub fn is_nan(&self) -> bool

Returns true if any of the coefficients are NaN

Trait Implementations§

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impl<const S1: usize, const S2: usize> Add<Polynomial<S1>> for Polynomial<S2>

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fn add(self, other: Polynomial<S1>) -> Self::Output

Add Self and Other, IF S2 >= S1 (else panic!)

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type Output = Polynomial<S1>

The resulting type after applying the + operator.
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impl<const SIZE: usize> AddAssign<f64> for Polynomial<SIZE>

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fn add_assign(&mut self, rhs: f64)

Performs the += operation. Read more
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impl<const SIZE: usize> Clone for Polynomial<SIZE>

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fn clone(&self) -> Polynomial<SIZE>

Returns a copy 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<const SIZE: usize> Debug for Polynomial<SIZE>

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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<const SIZE: usize> Display for Polynomial<SIZE>

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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<const SIZE: usize> LowerHex for Polynomial<SIZE>

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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<const SIZE: usize> Mul<Polynomial<SIZE>> for f64

In-place multiplication of a polynomial with an f64

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type Output = Polynomial<SIZE>

The resulting type after applying the * operator.
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fn mul(self, rhs: Polynomial<SIZE>) -> Self::Output

Performs the * operation. Read more
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impl<const SIZE: usize> Mul<f64> for &Polynomial<SIZE>

Clone current polynomial and then multiply it with an f64

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type Output = Polynomial<SIZE>

The resulting type after applying the * operator.
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fn mul(self, rhs: f64) -> Self::Output

Performs the * operation. Read more
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impl<const SIZE: usize> Mul<f64> for Polynomial<SIZE>

In-place multiplication of a polynomial with an f64

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type Output = Polynomial<SIZE>

The resulting type after applying the * operator.
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fn mul(self, rhs: f64) -> Self::Output

Performs the * operation. Read more
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impl<const SIZE: usize> PartialEq for Polynomial<SIZE>

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fn eq(&self, other: &Polynomial<SIZE>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<const S1: usize, const S2: usize> Sub<Polynomial<S2>> for Polynomial<S1>

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type Output = Polynomial<S1>

The resulting type after applying the - operator.
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fn sub(self, other: Polynomial<S2>) -> Self::Output

Performs the - operation. Read more
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impl<const SIZE: usize> Copy for Polynomial<SIZE>

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impl<const SIZE: usize> StructuralPartialEq for Polynomial<SIZE>

Auto Trait Implementations§

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impl<const SIZE: usize> Freeze for Polynomial<SIZE>

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impl<const SIZE: usize> RefUnwindSafe for Polynomial<SIZE>

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impl<const SIZE: usize> Send for Polynomial<SIZE>

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impl<const SIZE: usize> Sync for Polynomial<SIZE>

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impl<const SIZE: usize> Unpin for Polynomial<SIZE>

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impl<const SIZE: usize> UnwindSafe for Polynomial<SIZE>

Blanket 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, dst: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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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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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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> ToString for T
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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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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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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

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where S: Into<Dispatch>,

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