Struct peroxide::structure::polynomial::Polynomial
source · pub struct Polynomial {
pub coef: Vec<f64>,
}
Expand description
Polynomial Structure
Fields§
§coef: Vec<f64>
Implementations§
source§impl Polynomial
impl Polynomial
sourcepub fn eval<T>(&self, x: T) -> f64
pub fn eval<T>(&self, x: T) -> f64
Evaluate polynomial with value according to Horner’s method
§Examples
#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;
fn main() {
let a = poly(c!(1,3,2));
assert_eq!(a.eval(1), 6_f64);
let b = poly(c!(1, 1, -2, -2));
let x = 2_f64.sqrt();
let horner_evaluation = b.eval(x);
let naive_evaluation = x.powf(3.0) + x.powf(2.0) - 2.0*x - 2.0;
assert_eq!(horner_evaluation, 0_f64);
assert_ne!(naive_evaluation, horner_evaluation);
}
pub fn eval_vec(&self, v: Vec<f64>) -> Vec<f64>
sourcepub fn translate_x<X>(&self, x: X) -> Self
pub fn translate_x<X>(&self, x: X) -> Self
Linear transformation of a polynomial by a given x according to Horner’s method
§Examples
#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;
fn main() {
let a = poly(c!(1,3,2));
let translated = a.translate_x(2);
assert_eq!(translated.eval(3), 6_f64);
}
pub fn horner_division(&self, other: &Self) -> (Self, f64)
Trait Implementations§
source§impl<T> Add<T> for Polynomial
impl<T> Add<T> for Polynomial
source§impl Add for Polynomial
impl Add for Polynomial
source§impl Calculus for Polynomial
impl Calculus for Polynomial
source§impl Clone for Polynomial
impl Clone for Polynomial
source§fn clone(&self) -> Polynomial
fn clone(&self) -> Polynomial
Returns a copy of the value. Read more
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
Performs copy-assignment from
source
. Read moresource§impl Debug for Polynomial
impl Debug for Polynomial
source§impl Default for Polynomial
impl Default for Polynomial
source§fn default() -> Polynomial
fn default() -> Polynomial
Returns the “default value” for a type. Read more
source§impl Display for Polynomial
impl Display for Polynomial
Polynomial Print
§Examples
#[macro_use]
extern crate peroxide;
use peroxide::fuga::*;
fn main() {
let a = poly(c!(1,3,2));
a.print(); //x^2 + 3x + 2
}
source§impl<T> Div<T> for Polynomial
impl<T> Div<T> for Polynomial
source§impl Div for Polynomial
impl Div for Polynomial
§type Output = (Polynomial, Polynomial)
type Output = (Polynomial, Polynomial)
The resulting type after applying the
/
operator.source§impl Mul<Polynomial> for f32
impl Mul<Polynomial> for f32
§type Output = Polynomial
type Output = Polynomial
The resulting type after applying the
*
operator.source§impl Mul<Polynomial> for f64
impl Mul<Polynomial> for f64
§type Output = Polynomial
type Output = Polynomial
The resulting type after applying the
*
operator.source§impl Mul<Polynomial> for i32
impl Mul<Polynomial> for i32
§type Output = Polynomial
type Output = Polynomial
The resulting type after applying the
*
operator.source§impl Mul<Polynomial> for i64
impl Mul<Polynomial> for i64
§type Output = Polynomial
type Output = Polynomial
The resulting type after applying the
*
operator.source§impl Mul<Polynomial> for usize
impl Mul<Polynomial> for usize
§type Output = Polynomial
type Output = Polynomial
The resulting type after applying the
*
operator.source§impl<T> Mul<T> for Polynomial
impl<T> Mul<T> for Polynomial
source§impl Mul for Polynomial
impl Mul for Polynomial
source§impl Neg for Polynomial
impl Neg for Polynomial
source§impl PowOps for Polynomial
impl PowOps for Polynomial
source§impl<T> Sub<T> for Polynomial
impl<T> Sub<T> for Polynomial
source§impl Sub for Polynomial
impl Sub for Polynomial
impl Environment for Polynomial
Auto Trait Implementations§
impl RefUnwindSafe for Polynomial
impl Send for Polynomial
impl Sync for Polynomial
impl Unpin for Polynomial
impl UnwindSafe for Polynomial
Blanket Implementations§
source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more