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

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 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

Available on crate feature zeroize only.
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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§

Blanket 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> Conv for T

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fn conv<T>(self) -> T
where 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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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> Pipe for T
where T: ?Sized,

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

Pipes by value. This is generally the method you want to use. Read more
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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
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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
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fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R
where Self: Borrow<B>, B: 'a + ?Sized, R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more
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where Self: BorrowMut<B>, B: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more
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where Self: AsRef<U>, U: 'a + ?Sized, R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.
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where Self: AsMut<U>, U: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function.
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where Self: Deref<Target = T>, T: 'a + ?Sized, R: 'a,

Borrows self, then passes self.deref() into the pipe function.
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where Self: DerefMut<Target = T> + Deref, T: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function.
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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> Tap for T

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

Immutable access to a value. Read more
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fn tap_mut(self, func: impl FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more
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fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self
where Self: Borrow<B>, B: ?Sized,

Immutable access to the Borrow<B> of a value. Read more
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fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self
where Self: BorrowMut<B>, B: ?Sized,

Mutable access to the BorrowMut<B> of a value. Read more
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where Self: AsRef<R>, R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more
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Mutable access to the AsMut<R> view of a value. Read more
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where Self: DerefMut<Target = T> + Deref, T: ?Sized,

Mutable access to the Deref::Target of a value. Read more
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fn tap_dbg(self, func: impl FnOnce(&Self)) -> Self

Calls .tap() only in debug builds, and is erased in release builds.
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fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds.
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Calls .tap_borrow() only in debug builds, and is erased in release builds.
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Calls .tap_ref() only in debug builds, and is erased in release builds.
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where Self: AsMut<R>, R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds.
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where Self: Deref<Target = T>, T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds.
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fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self
where Self: DerefMut<Target = T> + Deref, T: ?Sized,

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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> TryConv for T

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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<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>,

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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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impl<T, Rhs, Output> ScalarMulOwned<Rhs, Output> for T
where T: for<'r> ScalarMul<&'r Rhs, Output>,