VectorValuedDifferentiation

mathhook_core::calculus::derivatives

Struct VectorValuedDifferentiation

pub struct VectorValuedDifferentiation;

Expand description

Vector-valued function differentiation (legacy compatibility wrapper)

Implementations§

impl VectorValuedDifferentiation

pub fn derivative( components: &[Expression], parameter: Symbol, ) -> Vec<Expression>

Compute derivative

pub fn second_derivative( components: &[Expression], parameter: Symbol, ) -> Vec<Expression>

Compute second derivative

pub fn nth_derivative( components: &[Expression], parameter: Symbol, order: u32, ) -> Vec<Expression>

Compute nth derivative

pub fn magnitude(components: &[Expression]) -> Expression

Compute magnitude of vector

pub fn unit_tangent( components: &[Expression], parameter: Symbol, ) -> Vec<Expression>

Compute unit tangent vector T = r’(t) / |r’(t)|

pub fn curvature(components: &[Expression], parameter: Symbol) -> Expression

Compute curvature κ = |r’ × r’‘| / |r’|³

pub fn torsion(components: &[Expression], parameter: Symbol) -> Expression

Compute torsion τ for 3D curves

Auto Trait Implementations§

impl Freeze for VectorValuedDifferentiation

impl RefUnwindSafe for VectorValuedDifferentiation

impl Send for VectorValuedDifferentiation

impl Sync for VectorValuedDifferentiation

impl Unpin for VectorValuedDifferentiation

impl UnwindSafe for VectorValuedDifferentiation

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

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impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

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

fn into(self) -> U

Calls U::from(self).

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

impl<T> IntoEither for T

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

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

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

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

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

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

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

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

The type returned in the event of a conversion error.

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

Performs the conversion.