Struct CubicBSplineBases

pub struct CubicBSplineBases {
    pub ranges: Vec<Range<f64>>,
    pub bases: Vec<UnitCubicBasis>,
}

Uniform Cubic B-Spline basis functions

Example

use peroxide::fuga::*;
use core::ops::Range;

fn main() -> anyhow::Result<()> {
    let cubic_b_spline = CubicBSplineBases::from_interval((0f64, 1f64), 5);
    let x = linspace(0f64, 1f64, 1000);
    let y = cubic_b_spline.eval_vec(&x);

    let mut plt = Plot2D::new();
    plt.set_domain(x.clone());

    for basis in &cubic_b_spline.bases {
        plt.insert_image(basis.eval_vec(&x));
    }

    plt
        .insert_image(y)
        .set_xlabel(r"$x$")
        .set_ylabel(r"$y$")
        .set_style(PlotStyle::Nature)
        .tight_layout()
        .set_dpi(600)
        .set_path("example_data/cubic_b_spline.png")
        .savefig()?;
    Ok(())
}

Fields

ranges: Vec<Range<f64>>

bases: Vec<UnitCubicBasis>

Implementations

impl CubicBSplineBases

pub fn new(ranges: Vec<Range<f64>>, bases: Vec<UnitCubicBasis>) -> Self

Create new Cubic B-Spline basis functions

pub fn from_interval((a, b): (f64, f64), num_bases: usize) -> Self

Create new Cubic B-Spline basis functions for [a, b]

pub fn rescale(&mut self, scale_vec: &[f64]) -> Result<()>

Rescale all basis functions

Arguments

• scale_vec - scale vector

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

pub fn eval_vec(&self, x: &[f64]) -> Vec<f64>

Trait Implementations

impl Archive for CubicBSplineBases

where Vec<Range<f64>>: Archive, Vec<UnitCubicBasis>: Archive,

const COPY_OPTIMIZATION: CopyOptimization<Self>

An optimization flag that allows the bytes of this type to be copied directly to a writer instead of calling serialize.

type Archived = ArchivedCubicBSplineBases

The archived representation of this type.

type Resolver = CubicBSplineBasesResolver

The resolver for this type. It must contain all the additional information from serializing needed to make the archived type from the normal type.

fn resolve(&self, resolver: Self::Resolver, out: Place<Self::Archived>)

Creates the archived version of this value at the given position and writes it to the given output.

impl Clone for CubicBSplineBases

fn clone(&self) -> CubicBSplineBases

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for CubicBSplineBases

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for CubicBSplineBases

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<__D: Fallible + ?Sized> Deserialize<CubicBSplineBases, __D> for Archived<CubicBSplineBases>

where Vec<Range<f64>>: Archive, <Vec<Range<f64>> as Archive>::Archived: Deserialize<Vec<Range<f64>>, __D>, Vec<UnitCubicBasis>: Archive, <Vec<UnitCubicBasis> as Archive>::Archived: Deserialize<Vec<UnitCubicBasis>, __D>,

fn deserialize( &self, deserializer: &mut __D, ) -> Result<CubicBSplineBases, <__D as Fallible>::Error>

Deserializes using the given deserializer

impl<__S: Fallible + ?Sized> Serialize<__S> for CubicBSplineBases

where Vec<Range<f64>>: Serialize<__S>, Vec<UnitCubicBasis>: Serialize<__S>,

fn serialize( &self, serializer: &mut __S, ) -> Result<<Self as Archive>::Resolver, <__S as Fallible>::Error>

Writes the dependencies for the object and returns a resolver that can create the archived type.

impl Serialize for CubicBSplineBases

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.