Struct Poly 

pub struct Poly { /* private fields */ }

A univariate polynomial in the prime field.

Implementations

impl Poly

pub fn random<R: Rng>(degree: usize, rng: &mut R) -> Self

Creates a random polynomial.

Panics

Panics if the degree is too large for the coefficients to fit into a Vec.

pub fn try_random<R: Rng>(degree: usize, rng: &mut R) -> Result<Self>

Creates a random polynomial. This constructor is identical to the Poly::random() constructor in every way except that this constructor will return an Err where try_random would return an error.

pub fn zero() -> Self

Returns the polynomial with constant value 0.

pub fn is_zero(&self) -> bool

Returns true if the polynomial is the constant value 0.

pub fn one() -> Self

Returns the polynomial with constant value 1.

pub fn constant(c: Fr) -> Self

Returns the polynomial with constant value c.

pub fn identity() -> Self

Returns the identity function, i.e. the polynomial “x”.

pub fn monomial(degree: usize) -> Self

Returns the (monic) monomial: x.pow(degree).

pub fn interpolate<T, U, I>(samples_repr: I) -> Self

where I: IntoIterator<Item = (T, U)>, T: IntoFr, U: IntoFr,

Returns the unique polynomial f of degree samples.len() - 1 with the given values (x, f(x)).

pub fn degree(&self) -> usize

Returns the degree.

pub fn evaluate<T: IntoFr>(&self, i: T) -> Fr

Returns the value at the point i.

pub fn commitment(&self) -> Commitment

Returns the corresponding commitment.

pub fn reveal(&self) -> String

Generates a non-redacted debug string. This method differs from the Debug implementation in that it does leak the secret prime field elements.

Trait Implementations

impl<'a, B: Borrow<Poly>> Add<B> for &'a Poly

type Output = Poly

The resulting type after applying the + operator.

fn add(self, rhs: B) -> Poly

Performs the + operation.

impl<B: Borrow<Poly>> Add<B> for Poly

type Output = Poly

The resulting type after applying the + operator.

fn add(self, rhs: B) -> Poly

Performs the + operation.

impl<'a> Add<Fr> for Poly

type Output = Poly

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<u64> for Poly

type Output = Poly

The resulting type after applying the + operator.

fn add(self, rhs: u64) -> Self::Output

Performs the + operation.

impl<B: Borrow<Poly>> AddAssign<B> for Poly

fn add_assign(&mut self, rhs: B)

Performs the += operation.

impl Clone for Poly

Creates a new Poly with the same coefficients as another polynomial.

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Poly

A debug statement where the coeff vector of prime field elements has been redacted.

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Poly

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Drop for Poly

fn drop(&mut self)

Executes the destructor for this type.

fn pin_drop(self: Pin<&mut Self>)

🔬This is a nightly-only experimental API. (pin_ergonomics)

Execute the destructor for this type, but different to Drop::drop, it requires self to be pinned.

impl Eq for Poly

impl From<Poly> for SecretKeySet

fn from(poly: Poly) -> SecretKeySet

Converts to this type from the input type.

impl From<Vec<Fr>> for Poly

Creates a new Poly instance from a vector of prime field elements representing the coefficients of the polynomial.

fn from(coeff: Vec<Fr>) -> Self

Converts to this type from the input type.

impl<'a> Mul<&'a Fr> for Poly

type Output = Poly

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Fr> for &'a Poly

type Output = Poly

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a, B: Borrow<Poly>> Mul<B> for &'a Poly

type Output = Poly

The resulting type after applying the * operator.

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

Performs the * operation.

impl<B: Borrow<Poly>> Mul<B> for Poly

type Output = Poly

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<Fr> for Poly

type Output = Poly

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<Fr> for &'a Poly

type Output = Poly

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<u64> for Poly

type Output = Poly

The resulting type after applying the * operator.

fn mul(self, rhs: u64) -> Self::Output

Performs the * operation.

impl<B: Borrow<Self>> MulAssign<B> for Poly

fn mul_assign(&mut self, rhs: B)

Performs the *= operation.

impl MulAssign<Fr> for Poly

fn mul_assign(&mut self, rhs: Fr)

Performs the *= operation.

impl PartialEq for Poly

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Serialize for Poly

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for Poly

impl<'a, B: Borrow<Poly>> Sub<B> for &'a Poly

type Output = Poly

The resulting type after applying the - operator.

fn sub(self, rhs: B) -> Poly

Performs the - operation.

impl<B: Borrow<Poly>> Sub<B> for Poly

type Output = Poly

The resulting type after applying the - operator.

fn sub(self, rhs: B) -> Poly

Performs the - operation.

impl<'a> Sub<Fr> for Poly

type Output = Poly

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<u64> for Poly

type Output = Poly

The resulting type after applying the - operator.

fn sub(self, rhs: u64) -> Self::Output

Performs the - operation.

impl<B: Borrow<Poly>> SubAssign<B> for Poly

fn sub_assign(&mut self, rhs: B)

Performs the -= operation.