Point

Struct Point 

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pub struct Point(EdwardsPoint);
Expand description

A decompressed point on the Ed25519 elliptic curve.

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§0: EdwardsPoint

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impl Point

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pub fn biased_hash(bytes: [u8; 32]) -> Point

Sample a biased point via a hash function.

This is comparable to Monero’s hash_to_ec function.

This achieves parity with https://github.com/monero-project/monero /blob/389e3ba1df4a6df4c8f9d116aa239d4c00f5bc78/src/crypto/crypto.cpp#L611, inlining the ge_fromfe_frombytes_vartime function (https://github.com/monero-project/monero /blob/389e3ba1df4a6df4c8f9d116aa239d4c00f5bc78/src/crypto/crypto-ops.c#L2309). This implementation runs in constant time.

According to the original authors (https://web.archive.org/web/20201028121818/https://cryptonote.org/whitepaper.pdf), this would implement https://arxiv.org/abs/0706.1448. Shen Noether also describes the algorithm (https://web.getmonero.org/resources/research-lab/pubs/ge_fromfe.pdf), yet without reviewing its security and in a very straight-forward fashion.

In reality, this implements Elligator 2 as detailed in “Elligator: Elliptic-curve points indistinguishable from uniform random strings” (https://eprint.iacr.org/2013/325). Specifically, Section 5.5 details the application of Elligator 2 to Curve25519, after which the result is mapped to Ed25519.

As this only applies Elligator 2 once, it’s limited to a subset of points where a certain derivative of their u coordinates (in Montgomery form) are quadratic residues. It’s biased accordingly. The yielded points SHOULD still have uniform relations to each other however.

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pub fn compress(self) -> CompressedPoint

Compress a point to a CompressedPoint.

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#[doc(hidden)] pub fn from(point: EdwardsPoint) -> Point

Create a Point from a curve25519_dalek::EdwardsPoint.

This is hidden as it is not part of our API commitment. No guarantees are made for it.

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#[doc(hidden)] pub fn into(self) -> EdwardsPoint

Create a curve25519_dalek::EdwardsPoint from a Point.

This is hidden as it is not part of our API commitment. No guarantees are made for it.

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#[doc(hidden)] pub fn key_image(self) -> Option<EdwardsPoint>

Interpret a point as a key image.

This is hidden as it is not part of our API commitment. No guarantees are made for it.

Trait Implementations§

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impl Clone for Point

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fn clone(&self) -> Point

Returns a duplicate 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 ConditionallySelectable for Point

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

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 ConstantTimeEq for Point

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fn ct_eq(&self, other: &Point) -> 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 Point

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

Formats the value using the given formatter. Read more
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impl Eq for Point

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#[doc(hidden)] fn assert_receiver_is_total_eq(&self)

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impl PartialEq for Point

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

This defers to ConstantTimeEq::ct_eq.

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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 Zeroize for Point

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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 Point

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impl TrivialClone for Point

Auto Trait Implementations§

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impl Freeze for Point

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impl RefUnwindSafe for Point

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impl Send for Point

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impl Sync for Point

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impl Unpin for Point

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impl UnwindSafe for Point

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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> AssertZeroize for T
where T: Zeroize + ?Sized,

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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, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. 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<A, B> IsEqualPrivate<B, Equal> for A

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type Output = B1

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fn is_equal_private( self, _: B, _: Equal, ) -> <A as IsEqualPrivate<B, Equal>>::Output

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impl<A, B> IsEqualPrivate<B, Greater> for A

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impl<A, B> IsEqualPrivate<B, Less> for A

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type Output = B0

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fn is_equal_private( self, _: B, _: Less, ) -> <A as IsEqualPrivate<B, Less>>::Output

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impl<A, B> IsGreaterOrEqualPrivate<B, Equal> for A

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impl<A, B> IsGreaterOrEqualPrivate<B, Greater> for A

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impl<A, B> IsGreaterOrEqualPrivate<B, Less> for A

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impl<A, B> IsGreaterPrivate<B, Equal> for A

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impl<A, B> IsGreaterPrivate<B, Greater> for A

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impl<A, B> IsGreaterPrivate<B, Less> for A

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type Output = B0

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fn is_greater_private( self, _: B, _: Less, ) -> <A as IsGreaterPrivate<B, Less>>::Output

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impl<A, B> IsLessOrEqualPrivate<B, Equal> for A

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impl<A, B> IsLessOrEqualPrivate<B, Greater> for A

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impl<A, B> IsLessOrEqualPrivate<B, Less> for A

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impl<A, B> IsLessPrivate<B, Equal> for A

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type Output = B0

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fn is_less_private( self, _: B, _: Equal, ) -> <A as IsLessPrivate<B, Equal>>::Output

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impl<A, B> IsLessPrivate<B, Greater> for A

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type Output = B0

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fn is_less_private( self, _: B, _: Greater, ) -> <A as IsLessPrivate<B, Greater>>::Output

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impl<A, B> IsLessPrivate<B, Less> for A

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type Output = B1

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fn is_less_private(self, _: B, _: Less) -> <A as IsLessPrivate<B, Less>>::Output

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impl<A, B> IsNotEqualPrivate<B, Equal> for A

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impl<A, B> IsNotEqualPrivate<B, Greater> for A

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impl<A, B> IsNotEqualPrivate<B, Less> for A

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

Borrows self, then passes self.as_ref() into the pipe function.
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fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R
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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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.
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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.
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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> SizeEq<Cell<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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impl<T> SizeEq<D<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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impl<T> SizeEq<D<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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impl<T> SizeEq<ManuallyDrop<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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impl<T> SizeEq<MaybeUninit<T>> for T

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impl<T> SizeEq<S<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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impl<T> SizeEq<S<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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

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impl<T> SizeEq<Unalign<T>> for T

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type CastFrom = CastB

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impl<T> SizeEq<UnsafeCell<T>> for T
where T: ?Sized,

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type CastFrom = CastB

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impl<T> SizeEq<Wrapping<T>> for T

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type CastFrom = CastB

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impl<T> SizedTypeProperties for T

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#[doc(hidden)] const SIZE: usize = _

🔬This is a nightly-only experimental API. (sized_type_properties)
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#[doc(hidden)] const ALIGN: usize = _

🔬This is a nightly-only experimental API. (sized_type_properties)
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#[doc(hidden)] const IS_ZST: bool = _

🔬This is a nightly-only experimental API. (sized_type_properties)
true if this type requires no storage. false if its size is greater than zero. Read more
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#[doc(hidden)] const LAYOUT: Layout = _

🔬This is a nightly-only experimental API. (sized_type_properties)
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#[doc(hidden)] const MAX_SLICE_LEN: usize = _

🔬This is a nightly-only experimental API. (sized_type_properties)
The largest safe length for a [Self]. Read more
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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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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
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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
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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
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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
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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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fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self
where Self: Borrow<B>, B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds.
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fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self
where Self: BorrowMut<B>, B: ?Sized,

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

Calls .tap_deref_mut() only in debug builds, and is erased in release builds.
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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<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<ST, DT> CastableFrom<ST, Initialized, Initialized> for DT
where ST: ?Sized, DT: ?Sized,

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impl<ST, DT> CastableFrom<ST, Uninit, Uninit> for DT
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impl<T> InvariantsEq<D<T>> for T
where T: ?Sized,

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impl<T> InvariantsEq<D<T>> for T
where T: ?Sized,

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impl<T> InvariantsEq<ManuallyDrop<T>> for T
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impl<T> InvariantsEq<S<T>> for T
where T: ?Sized,

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impl<T> InvariantsEq<S<T>> for T
where T: ?Sized,

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

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impl<T> InvariantsEq<Unalign<T>> for T

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impl<T> InvariantsEq<Wrapping<T>> for T

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impl<Src, Dst, A, SV, DV, R, S> MutationCompatible<Src, A, SV, DV, (BecauseRead, (R, S))> for Dst
where A: Aliasing, SV: Validity, DV: Validity, Src: Read<A, R> + ?Sized, Dst: Read<A, S> + ?Sized,

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impl<Src, Dst, A, SV, DV> MutationCompatible<Src, A, SV, DV, BecauseInvariantsEq> for Dst
where A: Aliasing, SV: Validity, DV: Validity, Src: TransmuteFrom<Dst, DV, SV> + ?Sized, Dst: TransmuteFrom<Src, SV, DV> + InvariantsEq<Src> + ?Sized,

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impl<T> Printable for T
where T: Copy + Debug,

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impl<T> Read<Exclusive, BecauseExclusive> for T
where T: ?Sized,

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impl<T> TransmuteFrom<Cell<T>, Valid, Valid> for T
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impl<T> TransmuteFrom<D<T>, Valid, Valid> for T
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impl<T> TransmuteFrom<D<T>, Valid, Valid> for T
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impl<T> TransmuteFrom<ManuallyDrop<T>, Valid, Valid> for T
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impl<T> TransmuteFrom<S<T>, Valid, Valid> for T
where T: ?Sized,

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impl<T> TransmuteFrom<S<T>, Valid, Valid> for T
where T: ?Sized,

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impl<Src, Dst> TransmuteFrom<Src, Initialized, Initialized> for Dst
where Src: ?Sized, Dst: ?Sized,

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impl<Src, Dst, V> TransmuteFrom<Src, V, Uninit> for Dst
where V: Validity, Src: ?Sized, Dst: ?Sized,

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impl<Src, Dst> TransmuteFrom<Src, Valid, Initialized> for Dst
where Src: IntoBytes + ?Sized, Dst: ?Sized,

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impl<T> TransmuteFrom<Unalign<T>, Valid, Valid> for T

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impl<T> TransmuteFrom<UnsafeCell<T>, Valid, Valid> for T
where T: ?Sized,

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impl<T> TransmuteFrom<Wrapping<T>, Valid, Valid> for T

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impl<Src, Dst, A, SV, DV, R> TransmuteFromPtr<Src, A, SV, DV, R> for Dst
where A: Aliasing, SV: Validity, DV: Validity, Dst: TransmuteFrom<Src, SV, DV> + TryTransmuteFromPtr<Src, A, SV, DV, R> + ?Sized, Src: ?Sized,

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impl<Src, Dst, SV, DV, A, R> TryTransmuteFromPtr<Src, A, SV, DV, (BecauseMutationCompatible, R)> for Dst
where A: Aliasing, SV: Validity, DV: Validity, Src: TransmuteFrom<Dst, DV, SV> + ?Sized, Dst: MutationCompatible<Src, A, SV, DV, R> + SizeEq<Src> + ?Sized,