Struct jubjub::AffinePoint [−][src]
pub struct AffinePoint { /* fields omitted */ }
Expand description
This represents a Jubjub point in the affine (u, v)
coordinates.
Implementations
Determines if this point is the identity.
Multiplies this point by the cofactor, producing an
ExtendedPoint
Determines if this point is of small order.
Determines if this point is torsion free and so is in the prime order subgroup.
Determines if this point is prime order, or in other words that
the smallest scalar multiplied by this point that produces the
identity is r
. This is equivalent to checking that the point
is both torsion free and not the identity.
Attempts to interpret a byte representation of an affine point, failing if the element is not on the curve or non-canonical.
Attempts to interpret a byte representation of an affine point, failing if the element is not on the curve.
Most non-canonical encodings will also cause a failure. However, this API preserves (for use in consensus-critical protocols) a bug in the parsing code that caused two non-canonical encodings to be silently accepted:
- (0, 1), which is the identity;
- (0, -1), which is a point of order two.
Each of these has a single non-canonical encoding in which the value of the sign bit is 1.
See ZIP 216 for a more detailed description of the bug, as well as its fix.
Attempts to interpret a batch of byte representations of affine points.
Returns None for each element if it is not on the curve, or is non-canonical according to ZIP 216.
Returns an ExtendedPoint
for use in arithmetic operations.
Performs a pre-processing step that produces an AffineNielsPoint
for use in multiple additions.
Constructs an AffinePoint given u
and v
without checking
that the point is on the curve.
Trait Implementations
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the +
operator.
Performs the +
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the +
operator.
Performs the +
operation. Read more
Performs the +=
operation. Read more
Performs the +=
operation. Read more
type Curve = ExtendedPoint
Determines if this point represents the point at infinity; the additive identity. Read more
Returns the identity.
Constructs an affine point from an extended point
using the map (U, V, Z, T1, T2) => (U/Z, V/Z)
as Z is always nonzero. This requires a field inversion
and so it is recommended to perform these in a batch
using batch_normalize
instead.
Constructs an extended point (with Z = 1
) from
an affine point using the map (u, v) => (u, v, 1, u, v)
.
Performs the conversion.
Attempts to deserialize a group element from its encoding.
Attempts to deserialize a group element, not checking if the element is valid. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the *
operator.
Performs the *
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the *
operator.
Performs the *
operation. Read more
This computes the negation of a point P = (u, v)
as -P = (-u, v)
.
type Output = AffinePoint
type Output = AffinePoint
The resulting type after applying the -
operator.
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the -
operator.
Performs the -
operation. Read more
type Output = ExtendedPoint
type Output = ExtendedPoint
The resulting type after applying the -
operator.
Performs the -
operation. Read more
Performs the -=
operation. Read more
Performs the -=
operation. Read more
Auto Trait Implementations
impl RefUnwindSafe for AffinePoint
impl Send for AffinePoint
impl Sync for AffinePoint
impl Unpin for AffinePoint
impl UnwindSafe for AffinePoint
Blanket Implementations
Mutably borrows from an owned value. Read more
fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,
fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,
Causes self
to use its Binary
implementation when Debug
-formatted.
fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,
fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,
Causes self
to use its Display
implementation when
Debug
-formatted. Read more
fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,
fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,
Causes self
to use its LowerExp
implementation when
Debug
-formatted. Read more
fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,
fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,
Causes self
to use its LowerHex
implementation when
Debug
-formatted. Read more
Causes self
to use its Octal
implementation when Debug
-formatted.
fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,
fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,
Causes self
to use its Pointer
implementation when
Debug
-formatted. Read more
fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,
fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,
Causes self
to use its UpperExp
implementation when
Debug
-formatted. Read more
fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,
fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,
Causes self
to use its UpperHex
implementation when
Debug
-formatted. Read more
impl<T> Pipe for T where
T: ?Sized,
impl<T> Pipe for T where
T: ?Sized,
Pipes by value. This is generally the method you want to use. Read more
Borrows self
and passes that borrow into the pipe function. Read more
fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
R: 'a,
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
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
R: 'a,
B: 'a + ?Sized,
Borrows self
, then passes self.borrow()
into the pipe function. Read more
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
fn pipe_borrow_mut<'a, B, R>(
&'a mut self,
func: impl FnOnce(&'a mut B) -> R
) -> R where
Self: BorrowMut<B>,
R: 'a,
B: 'a + ?Sized,
Mutably borrows self
, then passes self.borrow_mut()
into the pipe
function. Read more
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
Self: AsRef<U>,
R: 'a,
U: 'a + ?Sized,
Borrows self
, then passes self.as_ref()
into the pipe function.
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
Self: AsMut<U>,
R: 'a,
U: 'a + ?Sized,
Mutably borrows self
, then passes self.as_mut()
into the pipe
function. Read more
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,
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.
fn tap_borrow<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
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
fn tap_borrow_mut<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
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
Immutable access to the AsRef<R>
view of a value. Read more
fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
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
Immutable access to the Deref::Target
of a value. Read more
fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,
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
Calls .tap()
only in debug builds, and is erased in release builds.
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
fn tap_mut_dbg(self, func: impl FnOnce(&mut Self)) -> Self
Calls .tap_mut()
only in debug builds, and is erased in release
builds. Read more
fn tap_borrow_dbg<B>(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,
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. Read more
fn tap_borrow_mut_dbg<B>(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,
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. Read more
fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,
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. Read more
fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,
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. Read more
fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,
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. Read more