Struct rdcl_aoc_helpers::math::polynomial::Polynomial

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pub struct Polynomial { /* private fields */ }

Expand description

A polynomial.

Implementations

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impl Polynomial

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pub fn new(coefficients: &[i64]) -> Polynomial

The coefficients of the polynomial. The left-most coefficient corresponds with x^n. The right-most with x^0.

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pub fn degree(&self) -> usize

The degree of a polynomial. I.e. the highest n such that the coefficient for x^n is not zero.

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pub fn find_roots(&self) -> Vec<i64>

Find integer values x, such that the polynomial evaluates to 0 for x. These values are sorted from smallest to largest.

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pub fn at(&self, x: i64) -> i64

Evaluate the polynomial for x.

Trait Implementations

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impl Add<Polynomial> for Polynomial

type Output = Polynomial

The resulting type after applying the + operator.

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fn add(self, rhs: Polynomial) -> Self::Output

Performs the + operation. Read more

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impl Add<i64> for Polynomial

type Output = Polynomial

The resulting type after applying the + operator.

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fn add(self, rhs: i64) -> Self::Output

Performs the + operation. Read more

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impl Clone for Polynomial

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fn clone(&self) -> Polynomial

Returns a copy of the value. Read more

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

Performs copy-assignment from source. Read more

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impl Debug for Polynomial

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

Formats the value using the given formatter. Read more

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impl Display for Polynomial

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

Formats the value using the given formatter. Read more

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impl Index<usize> for Polynomial

type Output = i64

The returned type after indexing.

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fn index(&self, index: usize) -> &Self::Output

Performs the indexing (container[index]) operation. Read more

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impl Mul<i64> for Polynomial

type Output = Polynomial

The resulting type after applying the * operator.

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fn mul(self, rhs: i64) -> Self::Output

Performs the * operation. Read more

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impl Neg for Polynomial

type Output = Polynomial

The resulting type after applying the - operator.

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fn neg(self) -> Self::Output

Performs the unary - operation. Read more

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impl PartialEq<Polynomial> for Polynomial

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fn eq(&self, other: &Polynomial) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

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impl Sub<Polynomial> for Polynomial

type Output = Polynomial

The resulting type after applying the - operator.

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fn sub(self, rhs: Polynomial) -> Self::Output

Performs the - operation. Read more

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impl Sub<i64> for Polynomial

type Output = Polynomial

The resulting type after applying the - operator.

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fn sub(self, rhs: i64) -> Self::Output

Performs the - operation. Read more

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impl Eq for Polynomial

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impl StructuralEq for Polynomial

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impl StructuralPartialEq 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

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impl<T> Any for Twhere
T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Borrow<T> for Twhere
T: ?Sized,

const: unstable · source

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for Twhere
T: ?Sized,

const: unstable · source

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for Twhere
U: From<T>,

const: unstable · source

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for Twhere
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T> ToString for Twhere
T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more

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impl<T, U> TryFrom for Twhere
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for Twhere
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

Struct rdcl_aoc_helpers::math::polynomial::Polynomial

Implementations

impl Polynomial

pub fn new(coefficients: &[i64]) -> Polynomial

pub fn degree(&self) -> usize

pub fn find_roots(&self) -> Vec<i64>

pub fn at(&self, x: i64) -> i64

Trait Implementations

impl Add<Polynomial> for Polynomial

type Output = Polynomial

fn add(self, rhs: Polynomial) -> Self::Output

impl Add<i64> for Polynomial

type Output = Polynomial

fn add(self, rhs: i64) -> Self::Output

impl Clone for Polynomial

fn clone(&self) -> Polynomial

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

impl Debug for Polynomial

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

impl Display for Polynomial

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

impl Index<usize> for Polynomial

type Output = i64

fn index(&self, index: usize) -> &Self::Output

impl Mul<i64> for Polynomial

type Output = Polynomial

fn mul(self, rhs: i64) -> Self::Output

impl Neg for Polynomial

type Output = Polynomial

fn neg(self) -> Self::Output

impl PartialEq<Polynomial> for Polynomial

fn eq(&self, other: &Polynomial) -> bool

fn ne(&self, other: &Rhs) -> bool

impl Sub<Polynomial> for Polynomial

type Output = Polynomial

fn sub(self, rhs: Polynomial) -> Self::Output

impl Sub<i64> for Polynomial

type Output = Polynomial

fn sub(self, rhs: i64) -> Self::Output

impl Eq for Polynomial

impl StructuralEq for Polynomial

impl StructuralPartialEq 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

impl<T> Any for Twhere T: 'static + ?Sized,

fn type_id(&self) -> TypeId

impl<T> Borrow<T> for Twhere T: ?Sized,

fn borrow(&self) -> &T

impl<T> BorrowMut<T> for Twhere T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

impl<T> From<T> for T

fn from(t: T) -> T

impl<T, U> Into<U> for Twhere U: From<T>,

fn into(self) -> U

impl<T> ToOwned for Twhere T: Clone,

type Owned = T

fn to_owned(&self) -> T

fn clone_into(&self, target: &mut T)

impl<T> ToString for Twhere T: Display + ?Sized,

default fn to_string(&self) -> String

impl<T, U> TryFrom<U> for Twhere U: Into<T>,

type Error = Infallible

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

impl<T> Any for Twhere
T: 'static + ?Sized,

impl<T> Borrow<T> for Twhere
T: ?Sized,

impl<T> BorrowMut<T> for Twhere
T: ?Sized,

impl<T, U> Into<U> for Twhere
U: From<T>,

impl<T> ToOwned for Twhere
T: Clone,

impl<T> ToString for Twhere
T: Display + ?Sized,

impl<T, U> TryFrom<U> for Twhere
U: Into<T>,

impl<T, U> TryInto<U> for Twhere
U: TryFrom<T>,