Enum number_diff::SeriesExpansion

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

SeriesExpansion is an abstraction of the series expansion created when using

Variants

MacLaurin(Elementary)

A Taylor series expansion centered around 0.

Taylor(Elementary)

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

Fourier(Elementary)

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

Implementations

impl SeriesExpansion

pub fn get_function(self) -> Function

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

pub fn get_elementary(self) -> Elementary

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

Trait Implementations

impl Clone for SeriesExpansion

fn clone(&self) -> SeriesExpansion

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for SeriesExpansion

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

Formats the value using the given formatter.

impl From<&SeriesExpansion> for Function

fn from(value: &SeriesExpansion) -> Self

Converts to this type from the input type.

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()

fn from(value: SeriesExpansion) -> Self

Converts to this type from the input type.