Struct Ft191

pub struct Ft191(/* private fields */);

Trait Implementations

impl<'r> Add<&'r Ft191> for Ft191

type Output = Ft191

The resulting type after applying the + operator.

fn add(self, other: &Ft191) -> Ft191

Performs the + operation.

impl Add for Ft191

type Output = Ft191

The resulting type after applying the + operator.

fn add(self, other: Ft191) -> Self

Performs the + operation.

impl<'r> AddAssign<&'r Ft191> for Ft191

fn add_assign(&mut self, other: &Ft191)

Performs the += operation.

impl AddAssign for Ft191

fn add_assign(&mut self, other: Ft191)

Performs the += operation.

impl Clone for Ft191

fn clone(&self) -> Ft191

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ConditionallySelectable for Ft191

fn conditional_select(a: &Ft191, b: &Ft191, choice: Choice) -> Ft191

Select a or b according to choice.

fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice.

fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves.

impl ConstantTimeEq for Ft191

fn ct_eq(&self, other: &Ft191) -> Choice

Determine if two items are equal.

fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal.

impl Debug for Ft191

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

Formats the value using the given formatter.

impl Default for Ft191

fn default() -> Ft191

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Ft191

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Div<&Ft191> for Ft191

type Output = Ft191

The resulting type after applying the / operator.

fn div(self, rhs: &Self) -> Self

Performs the / operation.

impl Div for Ft191

type Output = Ft191

The resulting type after applying the / operator.

fn div(self, rhs: Self) -> Self

Performs the / operation.

impl Field for Ft191

fn random(rng: impl RngCore) -> Self

Computes a uniformly random element using rejection sampling.

fn zero() -> Self

Returns the zero element of the field, the additive identity.

fn one() -> Self

Returns the one element of the field, the multiplicative identity.

fn is_zero(&self) -> Choice

Returns true iff this element is zero.

fn is_zero_vartime(&self) -> bool

Returns true iff this element is zero.

fn double(&self) -> Self

Doubles this element.

fn invert(&self) -> CtOption<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn square(&self) -> Self

Squares this element.

fn sqrt(&self) -> CtOption<Self>

Returns the square root of the field element, if it is quadratic residue.

fn cube(&self) -> Self

Cubes this element.

fn pow_vartime<S>(&self, exp: S) -> Self

where S: AsRef<[u64]>,

Exponentiates self by exp, where exp is a little-endian order integer exponent.

impl<'a> From<&'a Ft191> for Ft191Repr

fn from(e: &'a Ft191) -> Ft191Repr

Converts to this type from the input type.

impl From<Ft191> for Ft191Repr

fn from(e: Ft191) -> Ft191Repr

Converts to this type from the input type.

impl From<u64> for Ft191

fn from(val: u64) -> Ft191

Converts to this type from the input type.

impl<'r> Mul<&'r Ft191> for Ft191

type Output = Ft191

The resulting type after applying the * operator.

fn mul(self, other: &Ft191) -> Self

Performs the * operation.

impl Mul for Ft191

type Output = Ft191

The resulting type after applying the * operator.

fn mul(self, other: Ft191) -> Self

Performs the * operation.

impl MulAdd<&Ft191, &Ft191> for Ft191

type Output = Ft191

The resulting type after applying the fused multiply-add.

fn mul_add(self, a: &Self, b: &Self) -> Self

Performs the fused multiply-add operation (self * a) + b

impl MulAdd for Ft191

type Output = Ft191

The resulting type after applying the fused multiply-add.

fn mul_add(self, a: Self, b: Self) -> Self

Performs the fused multiply-add operation (self * a) + b

impl<'r> MulAssign<&'r Ft191> for Ft191

fn mul_assign(&mut self, other: &Ft191)

Performs the *= operation.

impl MulAssign for Ft191

fn mul_assign(&mut self, other: Ft191)

Performs the *= operation.

impl Neg for Ft191

type Output = Ft191

The resulting type after applying the - operator.

fn neg(self) -> Ft191

Performs the unary - operation.

impl Num for Ft191

type FromStrRadixErr = ParseIntError

fn from_str_radix(s: &str, r: u32) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix (typically 2..=36).

impl One for Ft191

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

impl Ord for Ft191

Elements are ordered lexicographically.

fn cmp(&self, other: &Ft191) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Ft191

fn eq(&self, other: &Ft191) -> 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 PartialOrd for Ft191

fn partial_cmp(&self, other: &Ft191) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl PrimeField for Ft191

const NUM_BITS: u32 = 191u32

How many bits are needed to represent an element of this field.

const CAPACITY: u32 = 190u32

How many bits of information can be reliably stored in the field element.

const S: u32 = 41u32

An integer s satisfying the equation 2^s * t = modulus - 1 with t odd.

type Repr = Ft191Repr

The prime field can be converted back and forth into this binary representation.

fn from_repr(r: Ft191Repr) -> CtOption<Ft191>

Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus).

fn from_repr_vartime(r: Ft191Repr) -> Option<Ft191>

Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus).

fn to_repr(&self) -> Ft191Repr

Converts an element of the prime field into the standard byte representation for this field.

fn is_odd(&self) -> Choice

Returns true iff this element is odd.

fn multiplicative_generator() -> Self

Returns a fixed multiplicative generator of modulus - 1 order. This element must also be a quadratic nonresidue.

fn root_of_unity() -> Self

Returns the 2^s root of unity.

fn from_str_vartime(s: &str) -> Option<Self>

Interpret a string of numbers as a (congruent) prime field element. Does not accept unnecessary leading zeroes or a blank string.

fn is_even(&self) -> Choice

Returns true iff this element is even.

impl Rem<&Ft191> for Ft191

type Output = Ft191

The resulting type after applying the % operator.

fn rem(self, rhs: &Self) -> Self

Performs the % operation.

impl Rem for Ft191

type Output = Ft191

The resulting type after applying the % operator.

fn rem(self, rhs: Self) -> Self

Performs the % operation.

impl Serialize for Ft191

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<'r> Sub<&'r Ft191> for Ft191

type Output = Ft191

The resulting type after applying the - operator.

fn sub(self, other: &Ft191) -> Self

Performs the - operation.

impl Sub for Ft191

type Output = Ft191

The resulting type after applying the - operator.

fn sub(self, other: Ft191) -> Self

Performs the - operation.

impl<'r> SubAssign<&'r Ft191> for Ft191

fn sub_assign(&mut self, other: &Ft191)

Performs the -= operation.

impl SubAssign for Ft191

fn sub_assign(&mut self, other: Ft191)

Performs the -= operation.

impl Zero for Ft191

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl Copy for Ft191

impl Eq for Ft191