pub struct CubicSpline { /* private fields */ }
Expand description
Cubic Spline (Natural)
Description
Implement traits of Natural cubic splines, by Arne Morten Kvarving.
Type
(&[f64], &[f64]) -> Cubic Spline
Examples
#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;
fn main() {
let x = c!(0.9, 1.3, 1.9, 2.1);
let y = c!(1.3, 1.5, 1.85, 2.1);
let s = CubicSpline::from_nodes(&x, &y);
let new_x = c!(1, 1.5, 2.0);
// Generate Cubic polynomial
for t in new_x.iter() {
s.polynomial_at(*t).print();
}
// -0.2347x^3 + 0.6338x^2 - 0.0329x + 0.9873
// 0.9096x^3 - 3.8292x^2 + 5.7691x - 1.5268
// -2.2594x^3 + 14.2342x^2 - 28.5513x + 20.2094
// Evaluation
for t in new_x.iter() {
s.eval(*t).print();
}
}
Implementations
sourceimpl CubicSpline
impl CubicSpline
sourcepub fn from_nodes(node_x: &[f64], node_y: &[f64]) -> Self
pub fn from_nodes(node_x: &[f64], node_y: &[f64]) -> Self
Examples
#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;
fn main() {
let x = c!(0.9, 1.3, 1.9, 2.1);
let y = c!(1.3, 1.5, 1.85, 2.1);
let s = CubicSpline::from_nodes(&x, &y);
for i in 0 .. 4 {
println!("{}", s.eval(i as f64 / 2.0));
}
}
sourcepub fn extend_with_nodes(&mut self, node_x: Vec<f64>, node_y: Vec<f64>)
pub fn extend_with_nodes(&mut self, node_x: Vec<f64>, node_y: Vec<f64>)
Extends the spline with the given nodes.
Description
The method ensures that the transition between each polynomial is smooth and that the spline
interpolation of the new nodes is calculated around x = 0
in order to avoid that
successive spline extensions with large x values become inaccurate.
Trait Implementations
sourceimpl Calculus for CubicSpline
impl Calculus for CubicSpline
sourceimpl Clone for CubicSpline
impl Clone for CubicSpline
sourcefn clone(&self) -> CubicSpline
fn clone(&self) -> CubicSpline
Returns a copy of the value. Read more
1.0.0 · sourcefn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
Performs copy-assignment from source
. Read more
sourceimpl Debug for CubicSpline
impl Debug for CubicSpline
sourceimpl Default for CubicSpline
impl Default for CubicSpline
sourcefn default() -> CubicSpline
fn default() -> CubicSpline
Returns the “default value” for a type. Read more
sourceimpl From<Vec<(Range<f64>, Polynomial), Global>> for CubicSpline
impl From<Vec<(Range<f64>, Polynomial), Global>> for CubicSpline
sourceimpl Index<usize> for CubicSpline
impl Index<usize> for CubicSpline
sourceimpl Into<Vec<(Range<f64>, Polynomial), Global>> for CubicSpline
impl Into<Vec<(Range<f64>, Polynomial), Global>> for CubicSpline
sourceimpl Into<Vec<Polynomial, Global>> for CubicSpline
impl Into<Vec<Polynomial, Global>> for CubicSpline
sourcefn into(self) -> Vec<Polynomial>
fn into(self) -> Vec<Polynomial>
Converts this type into the (usually inferred) input type.
sourceimpl Spline for CubicSpline
impl Spline for CubicSpline
fn get_ranged_polynomials(&self) -> &Vec<(Range<f64>, Polynomial)>
fn eval<T: Into<f64> + Copy>(&self, x: T) -> f64
fn eval_vec<T: Into<f64> + Copy>(&self, v: &[T]) -> Vec<f64>
fn polynomial_at<T: Into<f64> + Copy>(&self, x: T) -> &Polynomial
fn number_of_polynomials(&self) -> usize
impl Environment for CubicSpline
Auto Trait Implementations
impl RefUnwindSafe for CubicSpline
impl Send for CubicSpline
impl Sync for CubicSpline
impl Unpin for CubicSpline
impl UnwindSafe for CubicSpline
Blanket Implementations
sourceimpl<T> BorrowMut<T> for T where
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
const: unstable · sourcefn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more