pub struct Scalar(Scalar);

Tuple Fields§

§0: Scalar

Implementations§

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impl Scalar

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pub const BYTES_LEN: usize = 32usize

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pub fn zero() -> Self

additive identity

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pub fn one() -> Self

multiplicative identity

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pub fn negate(&self) -> Self

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pub fn inverse(&self) -> Scalar

multiplicative inverse

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pub fn increment(&mut self)

Increment a

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

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pub fn as_bytes(&self) -> &[u8]

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pub fn from_bytes(slice: &[u8]) -> Option<Self>

Returns none if slice is not canonical

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pub fn hash_to_scalar(b: &Blake2b) -> Scalar

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pub fn random<R: RngCore + CryptoRng>(rng: &mut R) -> Self

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pub fn from_u64(v: u64) -> Self

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pub fn power(&self, n: usize) -> Self

Raises x to the power n using binary exponentiation, with (1 to 2)*lg(n) scalar multiplications. Not constant time

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pub fn sum<I>(i: I) -> Option<Self>where I: Iterator<Item = Self>,

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pub fn exp_iter(&self) -> ScalarExp

Return an iterator of the powers of x.

Trait Implementations§

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

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type Output = Scalar

The resulting type after applying the + operator.
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fn add(self, other: &'b Scalar) -> Scalar

Performs the + operation. Read more
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impl<'b> Add<&'b Scalar> for Scalar

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type Output = Scalar

The resulting type after applying the + operator.
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fn add(self, other: &'b Scalar) -> Self::Output

Performs the + operation. Read more
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impl<'a> Add<Scalar> for &'a Scalar

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type Output = Scalar

The resulting type after applying the + operator.
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fn add(self, other: Scalar) -> Self::Output

Performs the + operation. Read more
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impl Add<Scalar> for Scalar

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type Output = Scalar

The resulting type after applying the + operator.
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fn add(self, other: Scalar) -> Self::Output

Performs the + operation. Read more
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impl Clone for Scalar

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fn clone(&self) -> Scalar

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 Scalar

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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 From<bool> for Scalar

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fn from(b: bool) -> Self

Converts to this type from the input type.
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impl Hash for Scalar

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fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<'a, 'b> Mul<&'b GroupElement> for &'a Scalar

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: &'b GroupElement) -> GroupElement

Performs the * operation. Read more
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impl<'b> Mul<&'b GroupElement> for Scalar

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: &'b GroupElement) -> Self::Output

Performs the * operation. Read more
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impl<'a, 'b> Mul<&'b Scalar> for &'a GroupElement

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: &'b Scalar) -> GroupElement

Performs the * operation. Read more
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impl<'a, 'b> Mul<&'b Scalar> for &'a Scalar

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type Output = Scalar

The resulting type after applying the * operator.
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fn mul(self, other: &'b Scalar) -> Scalar

Performs the * operation. Read more
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impl<'b> Mul<&'b Scalar> for GroupElement

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation. Read more
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impl<'b> Mul<&'b Scalar> for Scalar

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type Output = Scalar

The resulting type after applying the * operator.
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fn mul(self, other: &'b Scalar) -> Self::Output

Performs the * operation. Read more
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impl<'a> Mul<GroupElement> for &'a Scalar

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: GroupElement) -> Self::Output

Performs the * operation. Read more
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impl Mul<GroupElement> for Scalar

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: GroupElement) -> Self::Output

Performs the * operation. Read more
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impl<'a> Mul<Scalar> for &'a GroupElement

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: Scalar) -> Self::Output

Performs the * operation. Read more
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impl<'a> Mul<Scalar> for &'a Scalar

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type Output = Scalar

The resulting type after applying the * operator.
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fn mul(self, other: Scalar) -> Self::Output

Performs the * operation. Read more
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impl Mul<Scalar> for GroupElement

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type Output = GroupElement

The resulting type after applying the * operator.
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fn mul(self, other: Scalar) -> Self::Output

Performs the * operation. Read more
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impl Mul<Scalar> for Scalar

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type Output = Scalar

The resulting type after applying the * operator.
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fn mul(self, other: Scalar) -> Self::Output

Performs the * operation. Read more
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impl PartialEq<Scalar> for Scalar

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

This method tests for self and other values to be equal, and is used by ==.
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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.
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impl<'a, 'b> Sub<&'b Scalar> for &'a Scalar

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type Output = Scalar

The resulting type after applying the - operator.
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fn sub(self, other: &'b Scalar) -> Scalar

Performs the - operation. Read more
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impl<'b> Sub<&'b Scalar> for Scalar

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type Output = Scalar

The resulting type after applying the - operator.
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fn sub(self, other: &'b Scalar) -> Self::Output

Performs the - operation. Read more
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impl<'a> Sub<Scalar> for &'a Scalar

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type Output = Scalar

The resulting type after applying the - operator.
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fn sub(self, other: Scalar) -> Self::Output

Performs the - operation. Read more
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impl Sub<Scalar> for Scalar

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type Output = Scalar

The resulting type after applying the - operator.
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fn sub(self, other: Scalar) -> Self::Output

Performs the - operation. Read more
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impl Eq for Scalar

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impl StructuralEq for Scalar

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impl StructuralPartialEq for Scalar

Auto Trait Implementations§

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,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

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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

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fn from(t: T) -> T

Returns the argument unchanged.

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

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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> Same<T> for T

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type Output = T

Should always be Self
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impl<T> ToOwned for Twhere T: Clone,

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

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V