Struct bls12_381_plus::Scalar[−][src]

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). Read more

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fn to_repr(&self) -> Self::Repr

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

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fn is_odd(&self) -> bool

Returns true iff this element is odd.

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const NUM_BITS: u32

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

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const CAPACITY: u32

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

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fn multiplicative_generator() -> Self

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

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const S: u32

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

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fn root_of_unity() -> Self

Returns the 2^s root of unity. Read more

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fn from_str(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. Read more

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fn is_even(&self) -> bool

Returns true iff this element is even.

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impl PrimeFieldBits for Scalar

type ReprBits = [u64 ; 4]

The backing store for a bit representation of a prime field element.

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fn to_le_bits(&self) -> FieldBits<Self::ReprBits>

Converts an element of the prime field into a little-endian sequence of bits.

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fn char_le_bits() -> FieldBits<Self::ReprBits>

Returns the bits of the field characteristic (the modulus) in little-endian order.

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impl<T> Product<T> for Scalar where
T: Borrow<Scalar>,

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fn product(iter: I) -> Self where
I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by multiplying the items. Read more

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impl Serialize for Scalar

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fn serialize<S>(&self, s: S) -> Result<S::Ok, S::Error> where
S: Serializer,

Serialize this value into the given Serde serializer. Read more

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impl<'a, 'b> Sub<&'b Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b Scalar) -> Scalar

Performs the - operation. Read more

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impl<'b> Sub<&'b Scalar> for Scalar

type Output = Scalar

The resulting type after applying the - operator.

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fn sub(self, rhs: &'b Scalar) -> Scalar

Performs the - operation. Read more

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impl<'a> Sub<Scalar> for &'a Scalar

type Output = Scalar

The resulting type after applying the - operator.

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fn sub(self, rhs: Scalar) -> Scalar

Performs the - operation. Read more

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impl Sub<Scalar> for Scalar

type Output = Scalar

The resulting type after applying the - operator.

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fn sub(self, rhs: Scalar) -> Scalar

Performs the - operation. Read more

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impl<'b> SubAssign<&'b Scalar> for Scalar

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fn sub_assign(&mut self, rhs: &'b Scalar)

Performs the -= operation. Read more

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impl SubAssign<Scalar> for Scalar

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fn sub_assign(&mut self, rhs: Scalar)

Performs the -= operation. Read more

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impl<T> Sum<T> for Scalar where
T: Borrow<Scalar>,

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fn sum(iter: I) -> Self where
I: Iterator<Item = T>,

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

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impl Zeroize for Scalar

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fn zeroize(&mut self)

Zero out this object from memory using Rust intrinsics which ensure the zeroization operation is not “optimized away” by the compiler. Read more

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impl Copy for Scalar

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impl Eq for Scalar

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impl StructuralEq for Scalar

Auto Trait Implementations

impl RefUnwindSafe for Scalar

impl Send for Scalar

impl Sync for Scalar

impl Unpin for Scalar

impl UnwindSafe for Scalar

Blanket Implementations

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

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pub fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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

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pub fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

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

Mutably borrows from an owned value. Read more

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impl<T> ConditionallyNegatable for T where
 T: ConditionallySelectable,
 &'a T: for<'a> Neg,
 <&'a T as Neg>::Output == T,

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pub fn conditional_negate(&mut self, choice: Choice)

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more

impl<T> Conv for T

fn conv<T>(self) -> T where
Self: Into<T>,

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.

fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,

Causes self to use its Display implementation when Debug-formatted. Read more

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.

fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted. Read more

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

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impl<T> From<T> for T

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pub fn from(t: T) -> T

Performs the conversion.

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

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pub fn into(self) -> U

Performs the conversion.

impl<T> Pipe for T where
T: ?Sized,

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
R: 'a,

Borrows self and passes that borrow into the pipe function. Read more

fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
 Self: Borrow,
 B: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>(
 &'a mut self,
 func: impl FnOnce(&'a mut B) -> R
) -> R where
 Self: BorrowMut,
 B: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
 Self: AsRef,
 U: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
 Self: AsMut,
 U: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
 Self: Deref<Target = T>,
 T: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(
 &'a mut self,
 func: impl FnOnce(&'a mut T) -> R
) -> R where
 Self: DerefMut<Target = T> + Deref,
 T: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

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impl<T> Same<T> for T

type Output = T

Should always be Self

impl<T> Tap for T

fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut,
B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.

fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut,
B: ?Sized,

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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pub fn to_owned(&self) -> T

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

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

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

recently added

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

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

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pub default fn to_string(&self) -> String

Converts the given value to a String. Read more

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error> where
Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

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

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

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

Performs the conversion.

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impl<T> DeserializeOwned for T where
T: for<'de> Deserialize<'de>,

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impl<T, Rhs, Output> GroupOps<Rhs, Output> for T where
T: Add<Rhs, Output = Output> + Sub<Rhs, Output = Output> + AddAssign<Rhs> + SubAssign<Rhs>,

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impl<T, Rhs, Output> GroupOpsOwned<Rhs, Output> for T where
T: for<'r> GroupOps<&'r Rhs, Output>,

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impl<T, Rhs, Output> ScalarMul<Rhs, Output> for T where
T: Mul<Rhs, Output = Output> + MulAssign<Rhs>,

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Struct bls12_381_plus::Scalar[−][src]

Implementations

impl Scalar

pub const fn zero() -> Scalar

pub const fn one() -> Scalar

pub const fn double(&self) -> Scalar

pub fn from_bytes(bytes: &[u8; 32]) -> CtOption<Scalar>

pub fn to_bytes(&self) -> [u8; 32]

pub fn from_bytes_wide(bytes: &[u8; 64]) -> Scalar

pub fn from_okm(bytes: &[u8; 48]) -> Scalar

pub const fn from_raw(val: [u64; 4]) -> Self

pub const fn square(&self) -> Scalar

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

pub fn pow(&self, by: &[u64; 4]) -> Self

pub fn pow_vartime(&self, by: &[u64; 4]) -> Self

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

pub const fn mul(&self, rhs: &Self) -> Self

pub const fn sub(&self, rhs: &Self) -> Self

pub const fn add(&self, rhs: &Self) -> Self

pub const fn neg(&self) -> Self

Trait Implementations

impl<'a, 'b> Add<&'b Scalar> for &'a Scalar

type Output = Scalar

fn add(self, rhs: &'b Scalar) -> Scalar

impl<'b> Add<&'b Scalar> for Scalar

type Output = Scalar

fn add(self, rhs: &'b Scalar) -> Scalar

impl<'a> Add<Scalar> for &'a Scalar

type Output = Scalar

fn add(self, rhs: Scalar) -> Scalar

impl Add<Scalar> for Scalar

type Output = Scalar

fn add(self, rhs: Scalar) -> Scalar

impl<'b> AddAssign<&'b Scalar> for Scalar

fn add_assign(&mut self, rhs: &'b Scalar)

impl AddAssign<Scalar> for Scalar

fn add_assign(&mut self, rhs: Scalar)

impl Clone for Scalar

fn clone(&self) -> Scalar

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

impl ConditionallySelectable for Scalar

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

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

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

impl ConstantTimeEq for Scalar

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

impl Debug for Scalar

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

impl Default for Scalar

fn default() -> Self

impl<'de> Deserialize<'de> for Scalar

fn deserialize<D>(deserializer: D) -> Result<Scalar, D::Error> where D: Deserializer<'de>,

impl Display for Scalar

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

impl Field for Scalar

fn random(rng: impl RngCore) -> Self

fn zero() -> Self

fn one() -> Self

fn is_zero(&self) -> bool

fn square(&self) -> Self

fn double(&self) -> Self

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

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

fn cube(&self) -> Self

fn pow_vartime<S>(&self, exp: S) -> Self where S: AsRef<[u64]>,

impl<'a> From<&'a Scalar> for [u8; 32]

fn from(value: &'a Scalar) -> [u8; 32]

impl From<Scalar> for [u8; 32]

fn from(value: Scalar) -> [u8; 32]

impl From<u64> for Scalar

fn from(val: u64) -> Scalar

impl<'a, 'b> Mul<&'b Scalar> for &'a Scalar

type Output = Scalar

fn mul(self, rhs: &'b Scalar) -> Scalar

impl<'b> Mul<&'b Scalar> for Scalar

type Output = Scalar

fn mul(self, rhs: &'b Scalar) -> Scalar

impl<'a, 'b> Mul<&'b Scalar> for &'a Gt

type Output = Gt

fn mul(self, other: &'b Scalar) -> Self::Output

pub fn from_bytes(bytes: &[u8 ; 32]) -> CtOption<Scalar>

pub fn to_bytes(&self) -> [u8 ; 32]

pub fn from_bytes_wide(bytes: &[u8 ; 64]) -> Scalar

pub fn from_okm(bytes: &[u8 ; 48]) -> Scalar

pub const fn from_raw(val: [u64 ; 4]) -> Self

pub fn pow(&self, by: &[u64 ; 4]) -> Self

pub fn pow_vartime(&self, by: &[u64 ; 4]) -> Self

fn deserialize<D>(deserializer: D) -> Result<Scalar, D::Error> where
D: Deserializer<'de>,

fn pow_vartime<S>(&self, exp: S) -> Self where
S: AsRef<[u64 ]>,

impl<'a> From<&'a Scalar> for [u8 ; 32]

fn from(value: &'a Scalar) -> [u8 ; 32]

impl From<Scalar> for [u8 ; 32]

fn from(value: Scalar) -> [u8 ; 32]