pub enum SeriesExpansion {
    MacLaurin(Elementary),
    Taylor(Elementary),
    Fourier(Elementary),
}
Expand description

SeriesExpansion is an abstraction of the series expansion created when using

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MacLaurin(Elementary)

A Taylor series expansion centered around 0.

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Taylor(Elementary)

An approximation of an analytic function centered around some value using a polynomial. See this article for further information.

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Fourier(Elementary)

An approximation of a periodic function into a sum of trigonometric functions. See this article for further information.

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impl SeriesExpansion

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pub fn get_function(self) -> Function

Returns a Function instance from the provided SeriesExpansion instance, consuming it in the process.

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pub fn get_elementary(self) -> Elementary

Returns a Elementary instance from the provided SeriesExpansion instance, consuming it in the process.

Trait Implementations§

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impl Clone for SeriesExpansion

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fn clone(&self) -> SeriesExpansion

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 Debug for SeriesExpansion

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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 From<&SeriesExpansion> for Function

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fn from(value: &SeriesExpansion) -> Self

Converts to this type from the input type.
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impl From<SeriesExpansion> for Function

A Function instance can be obtained from a SeriesExpansion instance using the from method.

Example:

// create the Function instance
let func = Function::from("sin(x)");

// Get the SeriesExpansion
// In this instance we're creating a Taylor expansion of order 5 centered around 0
let expansion = func.get_taylor_expansion(5, 0.);

// Convert the SeriesExpansion into a Function using the from method
let func_expansion = Function::from(expansion);
// Note that this could also be done using the get_function method:
// let func_expansion = expansion.get_function()
//
// ... or using the as_taylor_expansion method to convert the original Function instance into a
// Taylor expansion without creating the SeriesExpansion instance seperatly:
// func.as_taylor_expansion()
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fn from(value: SeriesExpansion) -> Self

Converts to this type from the input type.

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for Twhere 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 Twhere 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 Twhere 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> 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 Twhere 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 Twhere 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 Twhere 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 Twhere 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.