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Synthetic

Struct Synthetic 

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pub struct Synthetic<F, G> { /* private fields */ }
Expand description

A linear combination of free generators and concrete points.

Free terms are indexed by u32 and bound later via Self::eval. Concrete terms carry their point directly.

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impl<F, G> Synthetic<F, G>

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pub fn concrete(weighted_points: impl IntoIterator<Item = (F, G)>) -> Self

Construct from known weighted points.

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pub fn max_free_index(&self) -> Option<u32>

The maximum free generator index, or None if there are no free terms.

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pub fn generators() -> impl Iterator<Item = Self>
where F: Ring,

Yield symbolic generators G_0, G_1, G_2, ... with unit weight.

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pub fn generators_array<const N: usize>() -> [Self; N]
where F: Ring,

Return [G_0, G_1, ..., G_{N-1}] as symbolic generators with unit weight.

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impl<F: Additive, G: Space<F>> Synthetic<F, G>

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pub fn eval(self, generators: &[G], strategy: &impl Strategy) -> G

Evaluate, substituting concrete generators for the free indices.

generators[i] provides the point for free index i.

§Panics

Panics if generators does not contain an entry for every free index.

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impl<'a, F: Additive, G: Space<F>> Add<&'a Synthetic<F, G>> for Synthetic<F, G>

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type Output = Synthetic<F, G>

The resulting type after applying the + operator.
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fn add(self, rhs: &'a Self) -> Self::Output

Performs the + operation. Read more
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impl<'a, F: Additive, G: Space<F>> AddAssign<&'a Synthetic<F, G>> for Synthetic<F, G>

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fn add_assign(&mut self, rhs: &'a Self)

Performs the += operation. Read more
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impl<F: Additive, G: Space<F>> Additive for Synthetic<F, G>

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fn zero() -> Self

The neutral element for addition.
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fn double(&mut self)

Add an element to itself. Read more
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fn scale(&self, bits_le: &[u64]) -> Self

Scale this number by a positive integer. Read more
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impl<F: Clone, G: Clone> Clone for Synthetic<F, G>

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fn clone(&self) -> Synthetic<F, G>

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl<F: Debug, G: Debug> Debug for Synthetic<F, G>

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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<F, G> Default for Synthetic<F, G>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<'a, F: Space<F>, G: Space<F>> Mul<&'a F> for Synthetic<F, G>

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type Output = Synthetic<F, G>

The resulting type after applying the * operator.
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fn mul(self, rhs: &'a F) -> Self::Output

Performs the * operation. Read more
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impl<'a, F: Space<F>, G: Space<F>> MulAssign<&'a F> for Synthetic<F, G>

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fn mul_assign(&mut self, rhs: &'a F)

Performs the *= operation. Read more
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impl<F: Additive, G: Space<F>> Neg for Synthetic<F, G>

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type Output = Synthetic<F, G>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<F: Additive, G: Space<F>> PartialEq for Synthetic<F, G>

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fn eq(&self, other: &Self) -> 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<F: Space<F>, G: Space<F>> Space<F> for Synthetic<F, G>

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fn msm(points: &[Self], scalars: &[R], _strategy: &impl ParStrategy) -> Self

Calculate sum_i points[i] * scalars[i]. Read more
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impl<'a, F: Additive, G: Space<F>> Sub<&'a Synthetic<F, G>> for Synthetic<F, G>

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type Output = Synthetic<F, G>

The resulting type after applying the - operator.
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fn sub(self, rhs: &'a Self) -> Self::Output

Performs the - operation. Read more
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impl<'a, F: Additive, G: Space<F>> SubAssign<&'a Synthetic<F, G>> for Synthetic<F, G>

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fn sub_assign(&mut self, rhs: &'a Self)

Performs the -= operation. Read more
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impl<F: Additive, G: Space<F>> Eq for Synthetic<F, G>

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impl<F: Additive, G: Space<F>> Object for Synthetic<F, G>

Auto Trait Implementations§

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impl<F, G> Freeze for Synthetic<F, G>

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impl<F, G> RefUnwindSafe for Synthetic<F, G>

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impl<F, G> Send for Synthetic<F, G>
where F: Send, G: Send,

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impl<F, G> Sync for Synthetic<F, G>
where F: Sync, G: Sync,

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impl<F, G> Unpin for Synthetic<F, G>
where F: Unpin, G: Unpin,

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impl<F, G> UnsafeUnpin for Synthetic<F, G>

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impl<F, G> UnwindSafe for Synthetic<F, G>

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> 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> 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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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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<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V