curve25519_dalek::montgomery

Struct MontgomeryPoint

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pub struct MontgomeryPoint(pub [u8; 32]);
Expand description

Holds the \(u\)-coordinate of a point on the Montgomery form of Curve25519 or its twist.

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§0: [u8; 32]

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impl MontgomeryPoint

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pub fn mul_base(scalar: &Scalar) -> Self

Fixed-base scalar multiplication (i.e. multiplication by the base point).

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pub fn mul_clamped(self, bytes: [u8; 32]) -> Self

Multiply this point by clamp_integer(bytes). For a description of clamping, see clamp_integer.

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pub fn mul_base_clamped(bytes: [u8; 32]) -> Self

Multiply the basepoint by clamp_integer(bytes). For a description of clamping, see clamp_integer.

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pub fn mul_bits_be(&self, bits: impl Iterator<Item = bool>) -> MontgomeryPoint

Given self \( = u_0(P) \), and a big-endian bit representation of an integer \(n\), return \( u_0([n]P) \). This is constant time in the length of bits.

NOTE: You probably do not want to use this function. Almost every protocol built on Curve25519 uses clamped multiplication, explained here. When in doubt, use Self::mul_clamped.

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

View this MontgomeryPoint as an array of bytes.

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

Convert this MontgomeryPoint to an array of bytes.

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pub fn to_edwards(&self, sign: u8) -> Option<EdwardsPoint>

Attempt to convert to an EdwardsPoint, using the supplied choice of sign for the EdwardsPoint.

§Inputs
  • sign: a u8 donating the desired sign of the resulting EdwardsPoint. 0 denotes positive and 1 negative.
§Return
  • Some(EdwardsPoint) if self is the \(u\)-coordinate of a point on (the Montgomery form of) Curve25519;

  • None if self is the \(u\)-coordinate of a point on the twist of (the Montgomery form of) Curve25519;

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impl Clone for MontgomeryPoint

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fn clone(&self) -> MontgomeryPoint

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 ConstantTimeEq for MontgomeryPoint

Equality of MontgomeryPoints is defined mod p.

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fn ct_eq(&self, other: &MontgomeryPoint) -> 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 Debug for MontgomeryPoint

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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 Default for MontgomeryPoint

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fn default() -> MontgomeryPoint

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for MontgomeryPoint

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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 Hash for MontgomeryPoint

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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 Identity for MontgomeryPoint

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fn identity() -> MontgomeryPoint

Return the group identity element, which has order 4.

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impl Mul<&MontgomeryPoint> for &Scalar

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type Output = MontgomeryPoint

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

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

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type Output = MontgomeryPoint

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

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

Multiply this MontgomeryPoint by a Scalar.

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fn mul(self, scalar: &Scalar) -> MontgomeryPoint

Given self \( = u_0(P) \), and a Scalar \(n\), return \( u_0([n]P) \)

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type Output = MontgomeryPoint

The resulting type after applying the * operator.
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impl<'b> Mul<&'b Scalar> for MontgomeryPoint

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type Output = MontgomeryPoint

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

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

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type Output = MontgomeryPoint

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

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

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type Output = MontgomeryPoint

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

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

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type Output = MontgomeryPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: Scalar) -> MontgomeryPoint

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

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type Output = MontgomeryPoint

The resulting type after applying the * operator.
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fn mul(self, rhs: Scalar) -> MontgomeryPoint

Performs the * operation. Read more
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impl MulAssign<&Scalar> for MontgomeryPoint

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fn mul_assign(&mut self, scalar: &Scalar)

Performs the *= operation. Read more
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impl MulAssign<Scalar> for MontgomeryPoint

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fn mul_assign(&mut self, rhs: Scalar)

Performs the *= operation. Read more
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impl PartialEq for MontgomeryPoint

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl Serialize for MontgomeryPoint

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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 Zeroize for MontgomeryPoint

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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 Copy for MontgomeryPoint

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impl Eq for MontgomeryPoint

Auto Trait Implementations§

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impl<T> Any for T
where 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 T
where 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 T
where 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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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 T
where 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> IsIdentity for T

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fn is_identity(&self) -> bool

Return true if this element is the identity element of the curve.
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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T> ToOwned for T
where 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 T
where 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 T
where 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<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,