Struct halo2_gadgets::ecc::chip::EccChip

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pub struct EccChip<FixedPoints: FixedPoints<Affine>> { /* private fields */ }

Expand description

An EccInstructions chip that uses 10 advice columns.

Implementations

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impl<FixedPoints: FixedPoints<Affine>> EccChip<FixedPoints>

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pub fn construct(config: <Self as Chip<Base>>::Config) -> Self

Reconstructs this chip from the given config.

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pub fn configure(
 meta: &mut ConstraintSystem<Base>,
 advices: [Column<Advice>; 10],
 lagrange_coeffs: [Column<Fixed>; 8],
 range_check: LookupRangeCheckConfig<Base, { sinsemilla::K }>
) -> <Self as Chip<Base>>::Config

Side effects

All columns in advices will be equality-enabled.

Trait Implementations

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impl<Fixed: FixedPoints<Affine>> BaseFitsInScalarInstructions<EpAffine> for EccChip<Fixed> where
 <Fixed as FixedPoints<Affine>>::Base: FixedPoint<Affine, FixedScalarKind = BaseFieldElem>,
 <Fixed as FixedPoints<Affine>>::FullScalar: FixedPoint<Affine, FixedScalarKind = FullScalar>,
 <Fixed as FixedPoints<Affine>>::ShortScalar: FixedPoint<Affine, FixedScalarKind = ShortScalar>,

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fn scalar_var_from_base(
 &self,
 _layouter: &mut impl Layouter<Base>,
 base: &Self::Var
) -> Result<Self::ScalarVar, Error>

Converts a base field element that exists as a variable in the circuit into a scalar to be used in variable-base scalar multiplication. Read more

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impl<FixedPoints: FixedPoints<Affine>> Chip<Fp> for EccChip<FixedPoints>

type Config = EccConfig<FixedPoints>

A type that holds the configuration for this chip, and any other state it may need during circuit synthesis, that can be derived during Circuit::configure. Read more

type Loaded = ()

A type that holds any general chip state that needs to be loaded at the start of Circuit::synthesize. This might simply be () for some chips. Read more

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fn config(&self) -> &Self::Config

The chip holds its own configuration.

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fn loaded(&self) -> &Self::Loaded

Provides access to general chip state loaded at the beginning of circuit synthesis. Read more

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impl<FixedPoints: Clone + FixedPoints<Affine>> Clone for EccChip<FixedPoints>

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fn clone(&self) -> EccChip<FixedPoints>

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<FixedPoints: Debug + FixedPoints<Affine>> Debug for EccChip<FixedPoints>

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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<Fixed: FixedPoints<Affine>> EccInstructions<EpAffine> for EccChip<Fixed> where
 <Fixed as FixedPoints<Affine>>::Base: FixedPoint<Affine, FixedScalarKind = BaseFieldElem>,
 <Fixed as FixedPoints<Affine>>::FullScalar: FixedPoint<Affine, FixedScalarKind = FullScalar>,
 <Fixed as FixedPoints<Affine>>::ShortScalar: FixedPoint<Affine, FixedScalarKind = ShortScalar>,

type ScalarFixed = EccScalarFixed

Variable representing a full-width element of the elliptic curve’s scalar field, to be used for fixed-base scalar mul. Read more

type ScalarFixedShort = EccScalarFixedShort

Variable representing a signed short element of the elliptic curve’s scalar field, to be used for fixed-base scalar mul. Read more

type ScalarVar = ScalarVar

Variable representing a scalar used in variable-base scalar mul. Read more

type Point = EccPoint

Variable representing an elliptic curve point.

type NonIdentityPoint = NonIdentityEccPoint

Variable representing a non-identity elliptic curve point.

type X = AssignedCell<Fp, Fp>

Variable representing the affine short Weierstrass x-coordinate of an elliptic curve point. Read more

type FixedPoints = Fixed

Enumeration of the set of fixed bases to be used in scalar mul. TODO: When associated consts can be used as const generics, introduce Self::NUM_WINDOWS, Self::NUM_WINDOWS_BASE_FIELD, Self::NUM_WINDOWS_SHORT and use them to differentiate FixedPoints types. Read more

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fn constrain_equal(
 &self,
 layouter: &mut impl Layouter<Base>,
 a: &Self::Point,
 b: &Self::Point
) -> Result<(), Error>

Constrains point a to be equal in value to point b.

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fn witness_point(
 &self,
 layouter: &mut impl Layouter<Base>,
 value: Value<Affine>
) -> Result<Self::Point, Error>

Witnesses the given point as a private input to the circuit. This allows the point to be the identity, mapped to (0, 0) in affine coordinates. Read more

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fn witness_point_non_id(
 &self,
 layouter: &mut impl Layouter<Base>,
 value: Value<Affine>
) -> Result<Self::NonIdentityPoint, Error>

Witnesses the given point as a private input to the circuit. This returns an error if the point is the identity. Read more

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fn witness_scalar_var(
 &self,
 _layouter: &mut impl Layouter<Base>,
 _value: Value<Scalar>
) -> Result<Self::ScalarVar, Error>

Witnesses a full-width scalar to be used in variable-base multiplication.

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fn witness_scalar_fixed(
 &self,
 _layouter: &mut impl Layouter<Base>,
 value: Value<Scalar>
) -> Result<Self::ScalarFixed, Error>

Witnesses a full-width scalar to be used in fixed-base multiplication.

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fn scalar_fixed_from_signed_short(
 &self,
 _layouter: &mut impl Layouter<Base>,
 (magnitude, sign): (AssignedCell<Base, Base>, AssignedCell<Base, Base>)
) -> Result<Self::ScalarFixedShort, Error>

Converts a magnitude and sign that exists as variables in the circuit into a signed short scalar to be used in fixed-base scalar multiplication. Read more

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fn extract_p<Point: Into<Self::Point> + Clone>(point: &Point) -> Self::X

Extracts the x-coordinate of a point.

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fn add_incomplete(
 &self,
 layouter: &mut impl Layouter<Base>,
 a: &Self::NonIdentityPoint,
 b: &Self::NonIdentityPoint
) -> Result<Self::NonIdentityPoint, Error>

Performs incomplete point addition, returning a + b. Read more

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fn add<A: Into<Self::Point> + Clone, B: Into<Self::Point> + Clone>(
 &self,
 layouter: &mut impl Layouter<Base>,
 a: &A,
 b: &B
) -> Result<Self::Point, Error>

Performs complete point addition, returning a + b.

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fn mul(
 &self,
 layouter: &mut impl Layouter<Base>,
 scalar: &Self::ScalarVar,
 base: &Self::NonIdentityPoint
) -> Result<(Self::Point, Self::ScalarVar), Error>

Performs variable-base scalar multiplication, returning [scalar] base.

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fn mul_fixed(
 &self,
 layouter: &mut impl Layouter<Base>,
 scalar: &Self::ScalarFixed,
 base: &<Self::FixedPoints as FixedPoints<Affine>>::FullScalar
) -> Result<(Self::Point, Self::ScalarFixed), Error>

Performs fixed-base scalar multiplication using a full-width scalar, returning [scalar] base.

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fn mul_fixed_short(
 &self,
 layouter: &mut impl Layouter<Base>,
 scalar: &Self::ScalarFixedShort,
 base: &<Self::FixedPoints as FixedPoints<Affine>>::ShortScalar
) -> Result<(Self::Point, Self::ScalarFixedShort), Error>

Performs fixed-base scalar multiplication using a short signed scalar, returning [scalar] base. Read more

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fn mul_fixed_base_field_elem(
 &self,
 layouter: &mut impl Layouter<Base>,
 base_field_elem: AssignedCell<Base, Base>,
 base: &<Self::FixedPoints as FixedPoints<Affine>>::Base
) -> Result<Self::Point, Error>

Performs fixed-base scalar multiplication using a base field element as the scalar. In the current implementation, this base field element must be output from another instruction. Read more

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impl<FixedPoints: PartialEq + FixedPoints<Affine>> PartialEq<EccChip<FixedPoints>> for EccChip<FixedPoints>

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fn eq(&self, other: &EccChip<FixedPoints>) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &EccChip<FixedPoints>) -> bool

This method tests for !=.

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impl<Fixed: FixedPoints<Affine>> UtilitiesInstructions<Fp> for EccChip<Fixed>

type Var = AssignedCell<Fp, Fp>

Variable in the circuit.

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fn load_private(
 &self,
 layouter: impl Layouter<F>,
 column: Column<Advice>,
 value: Value<F>
) -> Result<Self::Var, Error>

Load a variable.

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impl<FixedPoints: Eq + FixedPoints<Affine>> Eq for EccChip<FixedPoints>

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impl<FixedPoints: FixedPoints<Affine>> StructuralEq for EccChip<FixedPoints>

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impl<FixedPoints: FixedPoints<Affine>> StructuralPartialEq for EccChip<FixedPoints>

Auto Trait Implementations

impl<FixedPoints> RefUnwindSafe for EccChip<FixedPoints> where
FixedPoints: RefUnwindSafe,

impl<FixedPoints> Send for EccChip<FixedPoints> where
FixedPoints: Send,

impl<FixedPoints> Sync for EccChip<FixedPoints> where
FixedPoints: Sync,

impl<FixedPoints> Unpin for EccChip<FixedPoints> where
FixedPoints: Unpin,

impl<FixedPoints> UnwindSafe for EccChip<FixedPoints> where
FixedPoints: UnwindSafe,

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,

const: unstable · source

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,

const: unstable · source

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> Conv for T

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

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

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

Causes self to use its Binary implementation when Debug-formatted. Read more

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,

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,

Causes self to use its Octal implementation when Debug-formatted. Read more

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,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

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

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for T where
U: From<T>,

const: unstable · source

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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

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

Pipes by value. This is generally the method you want to use. Read more

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

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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: 'a + ?Sized,
 R: 'a,

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,

Borrows self, then passes self.deref() into the pipe function.

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. Read more

impl<T> Pointable for T

const ALIGN: usize = mem::align_of::()

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> Tap for T

fn tap(self, func: impl for<'_> FnOnce(&Self)) -> Self

Immutable access to a value. Read more

fn tap_mut(self, func: impl for<'_> FnOnce(&mut Self)) -> Self

Mutable access to a value. Read more

fn tap_borrow(self, func: impl for<'_> FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut(self, func: impl for<'_> FnOnce(&mut B)) -> Self where
Self: BorrowMut,
B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl for<'_> FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl for<'_> FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl for<'_> FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl for<'_> FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

fn tap_dbg(self, func: impl for<'_> FnOnce(&Self)) -> Self

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

fn tap_mut_dbg(self, func: impl for<'_> FnOnce(&mut Self)) -> Self

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg(self, func: impl for<'_> FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg(self, func: impl for<'_> FnOnce(&mut B)) -> Self where
Self: BorrowMut,
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 for<'_> 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 for<'_> 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 for<'_> 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

fn tap_deref_mut_dbg<T>(self, func: impl for<'_> 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. Read more

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impl<T> ToOwned for T where
T: Clone,

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

impl<T> TryConv for T

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 for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

Struct halo2_gadgets::ecc::chip::EccChip

Implementations

impl<FixedPoints: FixedPoints<Affine>> EccChip<FixedPoints>

pub fn construct(config: <Self as Chip<Base>>::Config) -> Self

pub fn configure( meta: &mut ConstraintSystem<Base>, advices: [Column<Advice>; 10], lagrange_coeffs: [Column<Fixed>; 8], range_check: LookupRangeCheckConfig<Base, { sinsemilla::K }>) -> <Self as Chip<Base>>::Config

Side effects

Trait Implementations

fn scalar_var_from_base( &self, _layouter: &mut impl Layouter<Base>, base: &Self::Var) -> Result<Self::ScalarVar, Error>

impl<FixedPoints: FixedPoints<Affine>> Chip<Fp> for EccChip<FixedPoints>

type Config = EccConfig<FixedPoints>

type Loaded = ()

fn config(&self) -> &Self::Config

fn loaded(&self) -> &Self::Loaded

impl<FixedPoints: Clone + FixedPoints<Affine>> Clone for EccChip<FixedPoints>

fn clone(&self) -> EccChip<FixedPoints>

fn clone_from(&mut self, source: &Self)

impl<FixedPoints: Debug + FixedPoints<Affine>> Debug for EccChip<FixedPoints>

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

type ScalarFixed = EccScalarFixed

type ScalarFixedShort = EccScalarFixedShort

type ScalarVar = ScalarVar

type Point = EccPoint

type NonIdentityPoint = NonIdentityEccPoint

type X = AssignedCell<Fp, Fp>

type FixedPoints = Fixed

fn constrain_equal( &self, layouter: &mut impl Layouter<Base>, a: &Self::Point, b: &Self::Point) -> Result<(), Error>

fn witness_point( &self, layouter: &mut impl Layouter<Base>, value: Value<Affine>) -> Result<Self::Point, Error>

fn witness_point_non_id( &self, layouter: &mut impl Layouter<Base>, value: Value<Affine>) -> Result<Self::NonIdentityPoint, Error>

fn witness_scalar_var( &self, _layouter: &mut impl Layouter<Base>, _value: Value<Scalar>) -> Result<Self::ScalarVar, Error>

fn witness_scalar_fixed( &self, _layouter: &mut impl Layouter<Base>, value: Value<Scalar>) -> Result<Self::ScalarFixed, Error>

fn scalar_fixed_from_signed_short( &self, _layouter: &mut impl Layouter<Base>, (magnitude, sign): (AssignedCell<Base, Base>, AssignedCell<Base, Base>)) -> Result<Self::ScalarFixedShort, Error>

fn extract_p<Point: Into<Self::Point> + Clone>(point: &Point) -> Self::X

fn add_incomplete( &self, layouter: &mut impl Layouter<Base>, a: &Self::NonIdentityPoint, b: &Self::NonIdentityPoint) -> Result<Self::NonIdentityPoint, Error>

fn add<A: Into<Self::Point> + Clone, B: Into<Self::Point> + Clone>( &self, layouter: &mut impl Layouter<Base>, a: &A, b: &B) -> Result<Self::Point, Error>

fn mul( &self, layouter: &mut impl Layouter<Base>, scalar: &Self::ScalarVar, base: &Self::NonIdentityPoint) -> Result<(Self::Point, Self::ScalarVar), Error>

fn mul_fixed( &self, layouter: &mut impl Layouter<Base>, scalar: &Self::ScalarFixed, base: &<Self::FixedPoints as FixedPoints<Affine>>::FullScalar) -> Result<(Self::Point, Self::ScalarFixed), Error>

fn mul_fixed_short( &self, layouter: &mut impl Layouter<Base>, scalar: &Self::ScalarFixedShort, base: &<Self::FixedPoints as FixedPoints<Affine>>::ShortScalar) -> Result<(Self::Point, Self::ScalarFixedShort), Error>

fn mul_fixed_base_field_elem( &self, layouter: &mut impl Layouter<Base>, base_field_elem: AssignedCell<Base, Base>, base: &<Self::FixedPoints as FixedPoints<Affine>>::Base) -> Result<Self::Point, Error>

impl<FixedPoints: PartialEq + FixedPoints<Affine>> PartialEq<EccChip<FixedPoints>> for EccChip<FixedPoints>

fn eq(&self, other: &EccChip<FixedPoints>) -> bool

fn ne(&self, other: &EccChip<FixedPoints>) -> bool

impl<Fixed: FixedPoints<Affine>> UtilitiesInstructions<Fp> for EccChip<Fixed>

type Var = AssignedCell<Fp, Fp>

fn load_private( &self, layouter: impl Layouter<F>, column: Column<Advice>, value: Value<F>) -> Result<Self::Var, Error>

impl<FixedPoints: Eq + FixedPoints<Affine>> Eq for EccChip<FixedPoints>

impl<FixedPoints: FixedPoints<Affine>> StructuralEq for EccChip<FixedPoints>

impl<FixedPoints: FixedPoints<Affine>> StructuralPartialEq for EccChip<FixedPoints>

Auto Trait Implementations

impl<FixedPoints> RefUnwindSafe for EccChip<FixedPoints> where FixedPoints: RefUnwindSafe,

impl<FixedPoints> Send for EccChip<FixedPoints> where FixedPoints: Send,

impl<FixedPoints> Sync for EccChip<FixedPoints> where FixedPoints: Sync,

impl<FixedPoints> Unpin for EccChip<FixedPoints> where FixedPoints: Unpin,

impl<FixedPoints> UnwindSafe for EccChip<FixedPoints> where FixedPoints: UnwindSafe,

Blanket Implementations

impl<T> Any for T where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

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

fn borrow(&self) -> &T

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

fn borrow_mut(&mut self) -> &mut T

impl<T> Conv for T

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

impl<T> FmtForward for T

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

fn fmt_display(self) -> FmtDisplay<Self> where Self: Display,

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where Self: LowerExp,

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where Self: LowerHex,

fn fmt_octal(self) -> FmtOctal<Self> where Self: Octal,

fn fmt_pointer(self) -> FmtPointer<Self> where Self: Pointer,

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where Self: UpperExp,

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where Self: UpperHex,

fn fmt_list(self) -> FmtList<Self> where &'a Self: for<'a> IntoIterator,

impl<T> From<T> for T

fn from(t: T) -> T

impl<T, U> Into<U> for T where U: From<T>,

fn into(self) -> U

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

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

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a 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,

pub fn configure(
meta: &mut ConstraintSystem<Base>,
advices: [Column<Advice>; 10],
lagrange_coeffs: [Column<Fixed>; 8],
range_check: LookupRangeCheckConfig<Base, { sinsemilla::K }>
) -> <Self as Chip<Base>>::Config

fn scalar_var_from_base(
&self,
_layouter: &mut impl Layouter<Base>,
base: &Self::Var
) -> Result<Self::ScalarVar, Error>

fn constrain_equal(
&self,
layouter: &mut impl Layouter<Base>,
a: &Self::Point,
b: &Self::Point
) -> Result<(), Error>

fn witness_point(
&self,
layouter: &mut impl Layouter<Base>,
value: Value<Affine>
) -> Result<Self::Point, Error>

fn witness_point_non_id(
&self,
layouter: &mut impl Layouter<Base>,
value: Value<Affine>
) -> Result<Self::NonIdentityPoint, Error>

fn witness_scalar_var(
&self,
_layouter: &mut impl Layouter<Base>,
_value: Value<Scalar>
) -> Result<Self::ScalarVar, Error>

fn witness_scalar_fixed(
&self,
_layouter: &mut impl Layouter<Base>,
value: Value<Scalar>
) -> Result<Self::ScalarFixed, Error>

fn scalar_fixed_from_signed_short(
&self,
_layouter: &mut impl Layouter<Base>,
(magnitude, sign): (AssignedCell<Base, Base>, AssignedCell<Base, Base>)
) -> Result<Self::ScalarFixedShort, Error>

fn add_incomplete(
&self,
layouter: &mut impl Layouter<Base>,
a: &Self::NonIdentityPoint,
b: &Self::NonIdentityPoint
) -> Result<Self::NonIdentityPoint, Error>

fn add<A: Into<Self::Point> + Clone, B: Into<Self::Point> + Clone>(
&self,
layouter: &mut impl Layouter<Base>,
a: &A,
b: &B
) -> Result<Self::Point, Error>

fn mul(
&self,
layouter: &mut impl Layouter<Base>,
scalar: &Self::ScalarVar,
base: &Self::NonIdentityPoint
) -> Result<(Self::Point, Self::ScalarVar), Error>

fn mul_fixed(
&self,
layouter: &mut impl Layouter<Base>,
scalar: &Self::ScalarFixed,
base: &<Self::FixedPoints as FixedPoints<Affine>>::FullScalar
) -> Result<(Self::Point, Self::ScalarFixed), Error>

fn mul_fixed_short(
&self,
layouter: &mut impl Layouter<Base>,
scalar: &Self::ScalarFixedShort,
base: &<Self::FixedPoints as FixedPoints<Affine>>::ShortScalar
) -> Result<(Self::Point, Self::ScalarFixedShort), Error>

fn mul_fixed_base_field_elem(
&self,
layouter: &mut impl Layouter<Base>,
base_field_elem: AssignedCell<Base, Base>,
base: &<Self::FixedPoints as FixedPoints<Affine>>::Base
) -> Result<Self::Point, Error>

fn load_private(
&self,
layouter: impl Layouter<F>,
column: Column<Advice>,
value: Value<F>
) -> Result<Self::Var, Error>

impl<FixedPoints> RefUnwindSafe for EccChip<FixedPoints> where
FixedPoints: RefUnwindSafe,

impl<FixedPoints> Send for EccChip<FixedPoints> where
FixedPoints: Send,

impl<FixedPoints> Sync for EccChip<FixedPoints> where
FixedPoints: Sync,

impl<FixedPoints> Unpin for EccChip<FixedPoints> where
FixedPoints: Unpin,

impl<FixedPoints> UnwindSafe for EccChip<FixedPoints> where
FixedPoints: UnwindSafe,

impl<T> Any for T where
T: 'static + ?Sized,

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

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

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

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

fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,

fn fmt_lower_exp(self) -> FmtLowerExp<Self> where
Self: LowerExp,

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,

fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,

fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,

fn fmt_list(self) -> FmtList<Self> where
&'a Self: for<'a> IntoIterator,

impl<T, U> Into<U> for T where
U: From<T>,

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

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a 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,

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
Self: Borrow<B>,
B: 'a + ?Sized,
R: 'a,

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,

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,

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,

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_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,

fn tap_borrow<B>(self, func: impl for<'_> FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,

fn tap_borrow_mut<B>(self, func: impl for<'_> FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,

fn tap_ref<R>(self, func: impl for<'_> FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

fn tap_ref_mut<R>(self, func: impl for<'_> FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

fn tap_deref<T>(self, func: impl for<'_> FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

fn tap_deref_mut<T>(self, func: impl for<'_> FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

fn tap_borrow_dbg<B>(self, func: impl for<'_> FnOnce(&B)) -> Self where
Self: Borrow<B>,
B: ?Sized,

fn tap_borrow_mut_dbg<B>(self, func: impl for<'_> FnOnce(&mut B)) -> Self where
Self: BorrowMut<B>,
B: ?Sized,

fn tap_ref_dbg<R>(self, func: impl for<'_> FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

fn tap_ref_mut_dbg<R>(self, func: impl for<'_> FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

fn tap_deref_dbg<T>(self, func: impl for<'_> FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

fn tap_deref_mut_dbg<T>(self, func: impl for<'_> FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

impl<T> ToOwned for T where
T: Clone,

fn try_conv<T>(self) -> Result<T, Self::Error> where
Self: TryInto<T>,

impl<T, U> TryFrom<U> for T where
U: Into<T>,

impl<T, U> TryInto<U> for T where
U: TryFrom<T>,

impl<V, T> VZip<V> for T where
V: MultiLane<T>,