pub struct NonZeroScalar<C>where
    C: CurveArithmetic,{ /* private fields */ }
Available on crate feature arithmetic only.
Expand description

Non-zero scalar type.

This type ensures that its value is not zero, ala core::num::NonZero*. To do this, the generic S type must impl both Default and ConstantTimeEq, with the requirement that S::default() returns 0.

In the context of ECC, it’s useful for ensuring that scalar multiplication cannot result in the point at infinity.

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impl<C> NonZeroScalar<C>where C: CurveArithmetic,

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pub fn random(rng: &mut impl CryptoRngCore) -> Self

Generate a random NonZeroScalar.

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pub fn new(scalar: Scalar<C>) -> CtOption<Self>

Create a NonZeroScalar from a scalar.

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pub fn from_repr(repr: FieldBytes<C>) -> CtOption<Self>

Decode a NonZeroScalar from a big endian-serialized field element.

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pub fn from_uint(uint: C::Uint) -> CtOption<Self>

Create a NonZeroScalar from a C::Uint.

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impl<C> AsRef<<C as CurveArithmetic>::Scalar> for NonZeroScalar<C>where C: CurveArithmetic,

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fn as_ref(&self) -> &Scalar<C>

Converts this type into a shared reference of the (usually inferred) input type.
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impl<C> Clone for NonZeroScalar<C>where C: CurveArithmetic + Clone,

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fn clone(&self) -> NonZeroScalar<C>

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<C> ConditionallySelectable for NonZeroScalar<C>where C: CurveArithmetic,

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

Select a or b according to choice. Read more
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fn conditional_assign(&mut self, other: &Self, choice: Choice)

Conditionally assign other to self, according to choice. Read more
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fn conditional_swap(a: &mut Self, b: &mut Self, choice: Choice)

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more
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impl<C> ConstantTimeEq for NonZeroScalar<C>where C: CurveArithmetic,

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

Determine if two items are equal. Read more
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fn ct_ne(&self, other: &Self) -> Choice

Determine if two items are NOT equal. Read more
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impl<C> Deref for NonZeroScalar<C>where C: CurveArithmetic,

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type Target = <C as CurveArithmetic>::Scalar

The resulting type after dereferencing.
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fn deref(&self) -> &Scalar<C>

Dereferences the value.
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impl<'de, C> Deserialize<'de> for NonZeroScalar<C>where C: CurveArithmetic,

Available on crate feature serde only.
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fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<C> Display for NonZeroScalar<C>where C: CurveArithmetic,

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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<C> From<&NonZeroScalar<C>> for FieldBytes<C>where C: CurveArithmetic,

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fn from(scalar: &NonZeroScalar<C>) -> FieldBytes<C>

Converts to this type from the input type.
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impl<C> From<&NonZeroScalar<C>> for ScalarPrimitive<C>where C: CurveArithmetic,

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fn from(scalar: &NonZeroScalar<C>) -> ScalarPrimitive<C>

Converts to this type from the input type.
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impl<C> From<&NonZeroScalar<C>> for SecretKey<C>where C: CurveArithmetic,

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fn from(scalar: &NonZeroScalar<C>) -> SecretKey<C>

Converts to this type from the input type.
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impl<C> From<&SecretKey<C>> for NonZeroScalar<C>where C: CurveArithmetic,

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fn from(sk: &SecretKey<C>) -> NonZeroScalar<C>

Converts to this type from the input type.
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impl<C> From<NonZeroScalar<C>> for FieldBytes<C>where C: CurveArithmetic,

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fn from(scalar: NonZeroScalar<C>) -> FieldBytes<C>

Converts to this type from the input type.
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impl<C> From<NonZeroScalar<C>> for ScalarPrimitive<C>where C: CurveArithmetic,

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fn from(scalar: NonZeroScalar<C>) -> ScalarPrimitive<C>

Converts to this type from the input type.
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impl<C> From<NonZeroScalar<C>> for SecretKey<C>where C: CurveArithmetic,

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fn from(scalar: NonZeroScalar<C>) -> SecretKey<C>

Converts to this type from the input type.
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impl<C> From<SecretKey<C>> for NonZeroScalar<C>where C: CurveArithmetic,

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fn from(sk: SecretKey<C>) -> NonZeroScalar<C>

Converts to this type from the input type.
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impl<C> FromStr for NonZeroScalar<C>where C: CurveArithmetic,

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type Err = Error

The associated error which can be returned from parsing.
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fn from_str(hex: &str) -> Result<Self, Error>

Parses a string s to return a value of this type. Read more
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impl<C> Invert for NonZeroScalar<C>where C: CurveArithmetic, Scalar<C>: Invert<Output = CtOption<Scalar<C>>>,

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type Output = NonZeroScalar<C>

Field element type
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fn invert(&self) -> Self

Invert a field element.
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fn invert_vartime(&self) -> Self::Output

Invert a field element in variable time. Read more
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impl<C> IsHigh for NonZeroScalar<C>where C: CurveArithmetic,

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fn is_high(&self) -> Choice

Is this scalar greater than or equal to n / 2?
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impl<C> LowerHex for NonZeroScalar<C>where C: CurveArithmetic,

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

Formats the value using the given formatter.
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impl<C, P> Mul<&NonZeroScalar<C>> for &NonIdentity<P>where C: CurveArithmetic, P: Copy + Mul<Scalar<C>, Output = P>,

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type Output = NonIdentity<P>

The resulting type after applying the * operator.
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fn mul(self, rhs: &NonZeroScalar<C>) -> Self::Output

Performs the * operation. Read more
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impl<C> Mul<&NonZeroScalar<C>> for NonZeroScalar<C>where C: PrimeCurve + CurveArithmetic,

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type Output = NonZeroScalar<C>

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

Performs the * operation. Read more
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impl<C, P> Mul<NonZeroScalar<C>> for NonIdentity<P>where C: CurveArithmetic, P: Copy + Mul<Scalar<C>, Output = P>,

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type Output = NonIdentity<P>

The resulting type after applying the * operator.
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fn mul(self, rhs: NonZeroScalar<C>) -> Self::Output

Performs the * operation. Read more
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impl<C> Mul for NonZeroScalar<C>where C: PrimeCurve + CurveArithmetic,

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type Output = NonZeroScalar<C>

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

Performs the * operation. Read more
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impl<C> Neg for NonZeroScalar<C>where C: CurveArithmetic,

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type Output = NonZeroScalar<C>

The resulting type after applying the - operator.
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fn neg(self) -> NonZeroScalar<C>

Performs the unary - operation. Read more
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impl<C, I> Reduce<I> for NonZeroScalar<C>where C: CurveArithmetic, I: Integer + ArrayEncoding, Scalar<C>: Reduce<I> + ReduceNonZero<I>,

Note: this is a non-zero reduction, as it’s impl’d for NonZeroScalar.

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type Bytes = <<C as CurveArithmetic>::Scalar as Reduce<I>>::Bytes

Bytes used as input to Reduce::reduce_bytes.
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fn reduce(n: I) -> Self

Perform a modular reduction, returning a field element.
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fn reduce_bytes(bytes: &Self::Bytes) -> Self

Interpret the given bytes as an integer and perform a modular reduction.
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impl<C, I> ReduceNonZero<I> for NonZeroScalar<C>where Self: Reduce<I>, C: CurveArithmetic, I: Integer + ArrayEncoding, Scalar<C>: Reduce<I, Bytes = Self::Bytes> + ReduceNonZero<I>,

Note: forwards to the Reduce impl.

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fn reduce_nonzero(n: I) -> Self

Perform a modular reduction, returning a field element.
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fn reduce_nonzero_bytes(bytes: &Self::Bytes) -> Self

Interpret the given bytes as an integer and perform a modular reduction to a non-zero output.
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impl<C> Serialize for NonZeroScalar<C>where C: CurveArithmetic,

Available on crate feature serde only.
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fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>where S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<C> TryFrom<&[u8]> for NonZeroScalar<C>where C: CurveArithmetic,

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type Error = Error

The type returned in the event of a conversion error.
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fn try_from(bytes: &[u8]) -> Result<Self, Error>

Performs the conversion.
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impl<C> UpperHex for NonZeroScalar<C>where C: CurveArithmetic,

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

Formats the value using the given formatter.
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impl<C> Zeroize for NonZeroScalar<C>where C: CurveArithmetic,

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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.
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impl<C> Copy for NonZeroScalar<C>where C: CurveArithmetic,

Auto Trait 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<A, T> AsBits<T> for Awhere A: AsRef<[T]>, T: BitStore,

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fn as_bits<O>(&self) -> &BitSlice<T, O>where O: BitOrder,

Views self as an immutable bit-slice region with the O ordering.
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fn try_as_bits<O>(&self) -> Result<&BitSlice<T, O>, BitSpanError<T>>where O: BitOrder,

Attempts to view self as an immutable bit-slice region with the O ordering. Read more
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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> Conv for T

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

Converts self into T using Into<T>. Read more
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impl<T> FmtForward for T

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

Causes self to use its Binary implementation when Debug-formatted.
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fn fmt_display(self) -> FmtDisplay<Self>where Self: Display,

Causes self to use its Display implementation when Debug-formatted.
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fn fmt_lower_exp(self) -> FmtLowerExp<Self>where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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fn fmt_lower_hex(self) -> FmtLowerHex<Self>where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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fn fmt_octal(self) -> FmtOctal<Self>where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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fn fmt_pointer(self) -> FmtPointer<Self>where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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fn fmt_upper_exp(self) -> FmtUpperExp<Self>where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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fn fmt_upper_hex(self) -> FmtUpperHex<Self>where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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fn fmt_list(self) -> FmtList<Self>where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
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impl<T> From<T> for T

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Returns the argument unchanged.

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

Pipes by value. This is generally the method you want to use. Read more
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Borrows self and passes that borrow into the pipe function. Read more
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Mutably borrows self and passes that borrow into the pipe function. Read more
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Borrows self, then passes self.deref() into the pipe function.
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impl<T> Tap for T

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

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