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Tree

starkom_pcs::fri

Struct Tree 

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pub struct Tree<H: Hash<Scalar>> { /* private fields */ }
Expand description

A Merkle tree whose leaves are multiple polynomial evaluations.

The tree has N leaf in total, with N being the size of the extended domain, and each leaf has K polynomial evaluations, with K being the number of committed polynomials.

The internal nodes are single hashes.

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impl<H: Hash<Scalar>> Tree<H>

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pub fn from_leaves(leaves: Vec<Vec<Scalar>>) -> Self

Constructs a Merkle tree from a matrix of polynomial evaluations.

More than one polynomial can be batched in the same tree because we our tree leaves are vectors rather than single scalars. The only requirement is that all polynomials have the same number of evaluations (not necessarily the same degree).

The provided leaves array has one entry for each leaf, and each leaf is a vector of K polynomial evaluations, with K = number of batched polynomials.

Neither the outer array nor the inner arrays can be empty.

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pub fn new(values: Vec<Vec<Scalar>>) -> Self

Constructs a Merkle tree from a matrix of polynomial evaluations.

The outer array of values contains one entry per committed polynomial, and each of the inner arrays represents the evaluations of a polynomial.

Therefore values has as many elements as the number of polynomials being committed and the length of the inner arrays must equal the size of the (extended) evaluation domain.

Note that the only difference between new and from_leaves is that the dimensions of the provided matrix are inverted.

Neither the outer array nor the inner arrays can be empty.

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pub fn num_polys(&self) -> usize

Returns the number of polynomials stored in the tree.

Each leaf of the tree has this number of values.

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pub fn num_leaves(&self) -> usize

Returns the number of leaves in the tree, corresponding to the size of the evaluation domain (always a power of 2).

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pub fn root_hash(&self) -> Scalar

Returns the root hash of the Merkle tree.

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pub fn leaf(&self, index: usize) -> &[Scalar]

Returns a reference to the i-th leaf.

Note that the leaf contains k elements, one for every committed polynomial.

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pub fn query(&self, index: usize) -> LeafProof<H>

Returns a Merkle proof for the leaf at index.

Trait Implementations§

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impl<H: Clone + Hash<Scalar>> Clone for Tree<H>

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fn clone(&self) -> Tree<H>

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<H: Debug + Hash<Scalar>> Debug for Tree<H>

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

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl<H> Freeze for Tree<H>

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impl<H> RefUnwindSafe for Tree<H>
where H: RefUnwindSafe,

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impl<H> Send for Tree<H>
where H: Send,

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impl<H> Sync for Tree<H>
where H: Sync,

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impl<H> Unpin for Tree<H>
where H: Unpin,

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impl<H> UnsafeUnpin for Tree<H>

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impl<H> UnwindSafe for Tree<H>
where H: UnwindSafe,

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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> 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> 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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where R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more
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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,

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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,

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where Self: DerefMut<Target = T> + Deref, T: 'a + ?Sized, R: 'a,

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type Output = T

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

Immutable access to a value. Read more
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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,

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

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where Self: AsRef<R>, R: ?Sized,

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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,

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where Self: DerefMut<Target = T> + Deref, T: ?Sized,

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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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where Self: Borrow<B>, B: ?Sized,

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where Self: BorrowMut<B>, B: ?Sized,

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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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type Owned = T

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where Self: TryInto<T>,

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impl<T, U> TryInto<U> for T
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type Error = <U as TryFrom<T>>::Error

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Performs the conversion.
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impl<V, T> VZip<V> for T
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fn vzip(self) -> V