Struct hrbf::kernel::Pow5

pub struct Pow5<T>(_);

The x^5 kernel.

Trait Implementations

impl<T: Clone> Clone for Pow5<T>

fn clone(&self) -> Pow5<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Float> Default for Pow5<T>

Default constructor for Pow5 kernel

fn default() -> Self

Returns the “default value” for a type.

impl<T: Float> GlobalKernel for Pow5<T>

fn new() -> Self

Construct a new global kernel.

impl<T: Float> Kernel<T> for Pow5<T>

fn f(&self, x: T) -> T

Main kernel function φ(x)

fn df(&self, x: T) -> T

The first derivative φʹ(x)

fn ddf(&self, x: T) -> T

The second derivative φʺ(x)

fn dddf(&self, x: T) -> T

The third derivative of φ(x)

fn ddddf(&self, x: T) -> T

The fourth derivative of φ(x)

fn df_l(&self, x: T) -> T

Additional function to ensure proper derivatives at x = 0. equivalent to df(x)/x for x != 0. This function should be well defined at all values of x.

fn g(&self, x: T) -> T

Need the following functions for third and fourth HRBF derivaitves

fn g_l(&self, x: T) -> T

Additional function to ensure proper derivatives at x = 0. equivalent to ddf(x)/(x*x) - df(x)/(x*x*x) for x != 0. This function should be well defined at all values of x.

fn h(&self, x: T, a: T) -> T

Additional function to ensure proper derivatives at x = 0. equivalent to dddf(x)/x - a*(ddf(x)/(x*x) - df(x)/(x*x*x)) for x != 0. This function should go to zero as x goes to zero.

impl<T: Copy> Copy for Pow5<T>