Trait snarkvm_wasm::PrimeField[−][src]

pub trait PrimeField: Field + FromStr {
    type Parameters: FieldParameters;
    type BigInteger: BigInteger;
    fn from_repr(repr: Self::BigInteger) -> Option<Self>;
    fn into_repr(&self) -> Self::BigInteger;
    fn from_repr_raw(repr: Self::BigInteger) -> Self;
    fn into_repr_raw(&self) -> Self::BigInteger;
    fn multiplicative_generator() -> Self;
    fn root_of_unity() -> Self;

    fn qnr_to_t() -> Self { ... }
    fn size_in_bits() -> usize { ... }
    fn trace() -> Self::BigInteger { ... }
    fn trace_minus_one_div_two() -> Self::BigInteger { ... }
    fn modulus_minus_one_div_two() -> Self::BigInteger { ... }
}

Expand description

The interface for a prime field.

Associated Types

`type Parameters: FieldParameters`[src]

`type BigInteger: BigInteger`[src]

Required methods

`fn from_repr(repr: Self::BigInteger) -> Option<Self>`[src]

Returns a prime field element from its underlying representation.

`fn into_repr(&self) -> Self::BigInteger`[src]

Returns the underlying representation of the prime field element.

`fn from_repr_raw(repr: Self::BigInteger) -> Self`[src]

Returns a prime field element from its underlying raw representation.

`fn into_repr_raw(&self) -> Self::BigInteger`[src]

Returns the underlying raw representation of the prime field element.

`fn multiplicative_generator() -> Self`[src]

Returns the multiplicative generator of char() - 1 order.

`fn root_of_unity() -> Self`[src]

Returns the 2^s root of unity.

Provided methods

`fn qnr_to_t() -> Self`[src]

Return the a QNR^T

`fn size_in_bits() -> usize`[src]

Returns the field size in bits.

`fn trace() -> Self::BigInteger`[src]

Returns the trace.

`fn trace_minus_one_div_two() -> Self::BigInteger`[src]

Returns the trace minus one divided by two.

`fn modulus_minus_one_div_two() -> Self::BigInteger`[src]

Returns the modulus minus one divided by two.

Implementors

`impl<P> PrimeField for Fp256<P> where P: Fp256Parameters,` [src]

`type BigInteger = BigInteger256`

`type Parameters = P`

`pub fn from_repr(r: BigInteger256) -> Option<Fp256<P>>`[src]

`pub fn into_repr(&self) -> BigInteger256`[src]

`pub fn from_repr_raw(r: BigInteger256) -> Fp256<P>`[src]

`pub fn into_repr_raw(&self) -> BigInteger256`[src]

`pub fn multiplicative_generator() -> Fp256<P>`[src]

`pub fn root_of_unity() -> Fp256<P>`[src]

`impl<P> PrimeField for Fp320<P> where P: Fp320Parameters,` [src]

`type BigInteger = BigInteger320`

`type Parameters = P`

`pub fn from_repr(r: BigInteger320) -> Option<Fp320<P>>`[src]

`pub fn into_repr(&self) -> BigInteger320`[src]

`pub fn from_repr_raw(r: BigInteger320) -> Fp320<P>`[src]

`pub fn into_repr_raw(&self) -> BigInteger320`[src]

`pub fn multiplicative_generator() -> Fp320<P>`[src]

`pub fn root_of_unity() -> Fp320<P>`[src]

`impl<P> PrimeField for Fp384<P> where P: Fp384Parameters,` [src]

`type BigInteger = BigInteger384`

`type Parameters = P`

`pub fn from_repr(r: BigInteger384) -> Option<Fp384<P>>`[src]

`pub fn into_repr(&self) -> BigInteger384`[src]

`pub fn from_repr_raw(r: BigInteger384) -> Fp384<P>`[src]

`pub fn into_repr_raw(&self) -> BigInteger384`[src]

`pub fn multiplicative_generator() -> Fp384<P>`[src]

`pub fn root_of_unity() -> Fp384<P>`[src]

`impl<P> PrimeField for Fp768<P> where P: Fp768Parameters,` [src]

`type BigInteger = BigInteger768`

`type Parameters = P`

`pub fn from_repr(r: BigInteger768) -> Option<Fp768<P>>`[src]

`pub fn into_repr(&self) -> BigInteger768`[src]

`pub fn from_repr_raw(r: BigInteger768) -> Fp768<P>`[src]

`pub fn into_repr_raw(&self) -> BigInteger768`[src]

`pub fn multiplicative_generator() -> Fp768<P>`[src]

`pub fn root_of_unity() -> Fp768<P>`[src]

`pub fn size_in_bits() -> usize`[src]

`pub fn trace() -> BigInteger768`[src]

`pub fn trace_minus_one_div_two() -> BigInteger768`[src]

`pub fn modulus_minus_one_div_two() -> BigInteger768`[src]

`impl<P> PrimeField for Fp832<P> where P: Fp832Parameters,` [src]

`type BigInteger = BigInteger832`

`type Parameters = P`

`pub fn from_repr(r: BigInteger832) -> Option<Fp832<P>>`[src]

`pub fn into_repr(&self) -> BigInteger832`[src]

`pub fn from_repr_raw(r: BigInteger832) -> Fp832<P>`[src]

`pub fn into_repr_raw(&self) -> BigInteger832`[src]

`pub fn multiplicative_generator() -> Fp832<P>`[src]

`pub fn root_of_unity() -> Fp832<P>`[src]

`pub fn size_in_bits() -> usize`[src]

`pub fn trace() -> BigInteger832`[src]

`pub fn trace_minus_one_div_two() -> BigInteger832`[src]

`pub fn modulus_minus_one_div_two() -> BigInteger832`[src]