diff --git a/docs/fastcrypto_vdf/class_group/struct.QuadraticForm.html b/docs/fastcrypto_vdf/class_group/struct.QuadraticForm.html index e79a37cb5..6b506d499 100644 --- a/docs/fastcrypto_vdf/class_group/struct.QuadraticForm.html +++ b/docs/fastcrypto_vdf/class_group/struct.QuadraticForm.html @@ -22,7 +22,7 @@
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pub fn compose(&self, rhs: &QuadraticForm) -> QuadraticForm

Compute the composition of this quadratic form with another quadratic form.

Trait Implementations§

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impl Add<&QuadraticForm> for &QuadraticForm

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type Output = QuadraticForm

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

Performs the + operation. Read more
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impl Add<&QuadraticForm> for QuadraticForm

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type Output = QuadraticForm

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

Performs the + operation. Read more
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impl Add for QuadraticForm

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type Output = QuadraticForm

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

Performs the + operation. Read more
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impl Clone for QuadraticForm

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fn clone(&self) -> QuadraticForm

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
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impl Debug for QuadraticForm

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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<'de> Deserialize<'de> for QuadraticForm

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Doubling for QuadraticForm

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fn double(self) -> Self

Compute 2 * Self = Self + Self.
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fn repeated_doubling(self, repetitions: u64) -> Self

Compute input * 2^repetitions by repeated doubling.
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impl Neg for QuadraticForm

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type Output = QuadraticForm

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 ParameterizedGroupElement for QuadraticForm

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type ParameterType = Discriminant

The discriminant of a quadratic form defines the class group.

-
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fn zero(discriminant: &Self::ParameterType) -> Self

Return an instance of the identity element in this group.
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fn is_in_group(&self, discriminant: &Discriminant) -> bool

Returns true if this is an element of the group defined by parameter.
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impl PartialEq for QuadraticForm

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, +
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fn zero(discriminant: &Self::ParameterType) -> Self

Return an instance of the identity element in this group.
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fn is_in_group(&self, discriminant: &Discriminant) -> bool

Returns true if this is an element of the group defined by parameter.
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fn multiply(&self, scalar: &BigUint, parameter: &Self::ParameterType) -> Self

Compute self * scalar.
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impl PartialEq for QuadraticForm

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

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

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 Serialize for QuadraticForm

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl Eq for QuadraticForm

Auto Trait Implementations§

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impl !Freeze for QuadraticForm

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impl !RefUnwindSafe for QuadraticForm

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impl Send for QuadraticForm

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impl !Sync for QuadraticForm

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impl Unpin for QuadraticForm

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impl UnwindSafe for QuadraticForm

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 diff --git a/docs/fastcrypto_vdf/math/parameterized_group/index.html b/docs/fastcrypto_vdf/math/parameterized_group/index.html index 1856a0882..6983aa278 100644 --- a/docs/fastcrypto_vdf/math/parameterized_group/index.html +++ b/docs/fastcrypto_vdf/math/parameterized_group/index.html @@ -1,2 +1,2 @@ -fastcrypto_vdf::math::parameterized_group - Rust

Module fastcrypto_vdf::math::parameterized_group

source ·

Traits§

Provided Methods§

source

fn multiply(&self, scalar: &BigUint, parameter: &Self::ParameterType) -> Self

Compute self * scalar.

+

Object Safety§

This trait is not object safe.

Implementors§

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impl ParameterizedGroupElement for QuadraticForm

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type ParameterType = Discriminant

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impl<'a> ParameterizedGroupElement for RSAGroupElement<'a>

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type ParameterType = &'a RSAModulus

\ No newline at end of file diff --git a/docs/fastcrypto_vdf/rsa_group/index.html b/docs/fastcrypto_vdf/rsa_group/index.html index 0e5b921a1..c028e1e2d 100644 --- a/docs/fastcrypto_vdf/rsa_group/index.html +++ b/docs/fastcrypto_vdf/rsa_group/index.html @@ -1,2 +1,2 @@ -fastcrypto_vdf::rsa_group - Rust

Module fastcrypto_vdf::rsa_group

source ·

Modules§

Structs§

  • RSAGroupElement
    This represents an element of the subgroup of an RSA group ZN* / <±1> +fastcrypto_vdf::rsa_group - Rust

    Module fastcrypto_vdf::rsa_group

    source ·

    Modules§

    Structs§

    • RSAGroupElement
      This represents an element of the subgroup of an RSA group ZN* / <±1> where N is the product of two large primes. See also RSAModulus.
    \ No newline at end of file diff --git a/docs/fastcrypto_vdf/rsa_group/modulus/index.html b/docs/fastcrypto_vdf/rsa_group/modulus/index.html index 1dc3a3543..550b775de 100644 --- a/docs/fastcrypto_vdf/rsa_group/modulus/index.html +++ b/docs/fastcrypto_vdf/rsa_group/modulus/index.html @@ -1 +1 @@ -fastcrypto_vdf::rsa_group::modulus - Rust

    Module fastcrypto_vdf::rsa_group::modulus

    source ·

    Structs§

    \ No newline at end of file +fastcrypto_vdf::rsa_group::modulus - Rust

    Module fastcrypto_vdf::rsa_group::modulus

    source ·

    Structs§

    \ No newline at end of file diff --git a/docs/fastcrypto_vdf/rsa_group/struct.RSAGroupElement.html b/docs/fastcrypto_vdf/rsa_group/struct.RSAGroupElement.html index 7d3a77f4e..a89e029dd 100644 --- a/docs/fastcrypto_vdf/rsa_group/struct.RSAGroupElement.html +++ b/docs/fastcrypto_vdf/rsa_group/struct.RSAGroupElement.html @@ -6,7 +6,7 @@
    source

    pub fn value(&self) -> &BigUint

    Return the canonical representation of this group element.

    source

    pub fn from_seed(seed: [u8; 32], modulus: &'a RSAModulus) -> Self

    Generate a random element of the subgroup ZN* / <±1> using the given seed.

    -

Trait Implementations§

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impl Add<&RSAGroupElement<'_>> for RSAGroupElement<'_>

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type Output = RSAGroupElement<'_>

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

Performs the + operation. Read more
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impl<'a> Clone for RSAGroupElement<'a>

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fn clone(&self) -> RSAGroupElement<'a>

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
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impl<'a> Debug for RSAGroupElement<'a>

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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 Doubling for RSAGroupElement<'_>

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fn double(self) -> Self

Compute 2 * Self = Self + Self.
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fn repeated_doubling(self, repetitions: u64) -> Self

Compute input * 2^repetitions by repeated doubling.
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impl<'a> ParameterizedGroupElement for RSAGroupElement<'a>

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type ParameterType = &'a RSAModulus

The type of the parameter which uniquely defines this group.
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fn zero(parameter: &Self::ParameterType) -> Self

Return an instance of the identity element in this group.
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fn is_in_group(&self, parameter: &Self::ParameterType) -> bool

Returns true if this is an element of the group defined by parameter.
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impl<'a> PartialEq for RSAGroupElement<'a>

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fn eq(&self, other: &RSAGroupElement<'a>) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, +

Trait Implementations§

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impl Add<&RSAGroupElement<'_>> for RSAGroupElement<'_>

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type Output = RSAGroupElement<'_>

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

Performs the + operation. Read more
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impl<'a> Clone for RSAGroupElement<'a>

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fn clone(&self) -> RSAGroupElement<'a>

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
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impl<'a> Debug for RSAGroupElement<'a>

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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 Doubling for RSAGroupElement<'_>

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fn double(self) -> Self

Compute 2 * Self = Self + Self.
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fn repeated_doubling(self, repetitions: u64) -> Self

Compute input * 2^repetitions by repeated doubling.
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impl<'a> ParameterizedGroupElement for RSAGroupElement<'a>

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type ParameterType = &'a RSAModulus

The type of the parameter which uniquely defines this group.
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fn zero(modulus: &Self::ParameterType) -> Self

Return an instance of the identity element in this group.
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fn is_in_group(&self, modulus: &Self::ParameterType) -> bool

Returns true if this is an element of the group defined by parameter.
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fn multiply(&self, scalar: &BigUint, modulus: &Self::ParameterType) -> Self

Compute self * scalar.
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impl<'a> PartialEq for RSAGroupElement<'a>

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fn eq(&self, other: &RSAGroupElement<'a>) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

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<'a> Serialize for RSAGroupElement<'a>

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
source§

impl<'a> Eq for RSAGroupElement<'a>

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impl<'a> StructuralPartialEq for RSAGroupElement<'a>

Auto Trait Implementations§

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impl<'a> Freeze for RSAGroupElement<'a>

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impl<'a> RefUnwindSafe for RSAGroupElement<'a>

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impl<'a> Send for RSAGroupElement<'a>

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impl<'a> Sync for RSAGroupElement<'a>

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impl<'a> Unpin for RSAGroupElement<'a>

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impl<'a> UnwindSafe for RSAGroupElement<'a>

Blanket Implementations§

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

source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
source§

impl<T> Borrow<T> for T
where diff --git a/docs/fastcrypto_vdf/vdf/pietrzak/index.html b/docs/fastcrypto_vdf/vdf/pietrzak/index.html index 376736bb3..c00de2f95 100644 --- a/docs/fastcrypto_vdf/vdf/pietrzak/index.html +++ b/docs/fastcrypto_vdf/vdf/pietrzak/index.html @@ -1 +1 @@ -fastcrypto_vdf::vdf::pietrzak - Rust

Module fastcrypto_vdf::vdf::pietrzak

source ·

Structs§

  • PietrzaksVDF
    This implements Pietrzak’s VDF construction from https://eprint.iacr.org/2018/627.pdf.

Constants§

\ No newline at end of file +fastcrypto_vdf::vdf::pietrzak - Rust

Module fastcrypto_vdf::vdf::pietrzak

source ·

Structs§

  • PietrzaksVDF
    This implements Pietrzak’s VDF construction from https://eprint.iacr.org/2018/627.pdf.

Constants§

\ No newline at end of file diff --git a/docs/fastcrypto_vdf/vdf/pietrzak/struct.PietrzaksVDF.html b/docs/fastcrypto_vdf/vdf/pietrzak/struct.PietrzaksVDF.html index 4b5267d77..614f720ad 100644 --- a/docs/fastcrypto_vdf/vdf/pietrzak/struct.PietrzaksVDF.html +++ b/docs/fastcrypto_vdf/vdf/pietrzak/struct.PietrzaksVDF.html @@ -4,10 +4,10 @@ verification is slower than in Wesolowski’s construction, but the output of a VDF is unique, assuming that the used group have no small subgroups, and proving is faster for the same number of iterations.

-

Implementations§

source§

impl<G: ParameterizedGroupElement> PietrzaksVDF<G>

source

pub fn new(group_parameter: G::ParameterType, iterations: u64) -> Self

Create a new VDF using the group defined by the given group parameter. Evaluating this VDF +

Implementations§

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impl<G: ParameterizedGroupElement> PietrzaksVDF<G>

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pub fn new(group_parameter: G::ParameterType, iterations: u64) -> Self

Create a new VDF using the group defined by the given group parameter. Evaluating this VDF will require computing 2^iterations * input which requires iterations group operations.

-

Trait Implementations§

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impl<G: ParameterizedGroupElement + Serialize> VDF for PietrzaksVDF<G>
where - G::ParameterType: Serialize,

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type InputType = G

The type of the input to the VDF.
source§

type OutputType = G

The type of the output from the VDF.
source§

type ProofType = Vec<G>

The type of the proof of correctness for this VDF.
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fn evaluate(&self, input: &G) -> FastCryptoResult<(G, Vec<G>)>

Evaluate this VDF and return the output and a proof of correctness.
source§

fn verify(&self, input: &G, output: &G, proof: &Vec<G>) -> FastCryptoResult<()>

Verify the output and proof from a VDF.

Auto Trait Implementations§

§

impl<G> Freeze for PietrzaksVDF<G>
where +

Trait Implementations§

source§

impl<G: ParameterizedGroupElement + Serialize> VDF for PietrzaksVDF<G>
where + G::ParameterType: Serialize,

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type InputType = G

The type of the input to the VDF.
source§

type OutputType = G

The type of the output from the VDF.
source§

type ProofType = Vec<G>

The type of the proof of correctness for this VDF.
source§

fn evaluate(&self, input: &G) -> FastCryptoResult<(G, Vec<G>)>

Evaluate this VDF and return the output and a proof of correctness.
source§

fn verify(&self, input: &G, output: &G, proof: &Vec<G>) -> FastCryptoResult<()>

Verify the output and proof from a VDF.

Auto Trait Implementations§

§

impl<G> Freeze for PietrzaksVDF<G>
where <G as ParameterizedGroupElement>::ParameterType: Freeze,

§

impl<G> RefUnwindSafe for PietrzaksVDF<G>
where <G as ParameterizedGroupElement>::ParameterType: RefUnwindSafe,

§

impl<G> Send for PietrzaksVDF<G>
where <G as ParameterizedGroupElement>::ParameterType: Send,

§

impl<G> Sync for PietrzaksVDF<G>
where diff --git a/docs/fastcrypto_vdf/vdf/trait.VDF.html b/docs/fastcrypto_vdf/vdf/trait.VDF.html index 1b4d5d448..87d8f287f 100644 --- a/docs/fastcrypto_vdf/vdf/trait.VDF.html +++ b/docs/fastcrypto_vdf/vdf/trait.VDF.html @@ -28,5 +28,5 @@ output: &Self::OutputType, proof: &Self::ProofType, ) -> FastCryptoResult<()>

Verify the output and proof from a VDF.

-

Implementors§

\ No newline at end of file +

Implementors§

source§

impl<G: ParameterizedGroupElement + Serialize> VDF for PietrzaksVDF<G>
where + G::ParameterType: Serialize,

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type InputType = G

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type OutputType = G

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type ProofType = Vec<G>

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impl<G: ParameterizedGroupElement, M: ScalarMultiplier<G, BigUint>> VDF for WesolowskisVDF<G, M>

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type InputType = G

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type OutputType = G

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type ProofType = G

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Generated from the seed …\nA discriminant for an imaginary class group. The …\nReturn the number of bits needed to represent this …\nReturns the argument unchanged.\nReturns the argument unchanged.\nCompute a valid discriminant (aka a negative prime equal …\nCalls U::from(self).\nCalls U::from(self).\nA valid discriminant should be a negative prime congruent …\nThis module contains an implementation of a hash-to-prime …\nCheck if the input is a probable prime.\nCompute the Jacobi symbol (a/m) for odd m. If m is prime, …\nThe type of the parameter which uniquely defines this …\nTrait implemented by elements of an additive group where …\nReturns true if this is an element of the group defined by …\nCompute self * scalar.\nReturn an instance of the identity element in this group.\nThis represents an element of the subgroup of an RSA group …\nReturns the argument unchanged.\nGenerate a random element of the subgroup ZN* / <±1> …\nCalls U::from(self).\nCreate a new RSA group element with the given value and …\nReturn the canonical representation of this group element.\nCreate an RSA modulus from a BigUint. The modulus is not …\nReturns the argument unchanged.\nParse an RSA modulus from a decimal string. The modulus is …\nCalls U::from(self).\nThe type of the input to the VDF.\nThe type of the output from the VDF.\nThe type of the proof of correctness for this VDF.\nThis represents a Verifiable Delay Function (VDF) …\nEvaluate this VDF and return the output and a proof of …\nVerify the output and proof from a VDF.\nDefault size in bytes of the Fiat-Shamir challenge used in …\nThis implements Pietrzak’s VDF construction from …\nReturns the argument unchanged.\nCalls U::from(self).\nCreate a new VDF using the group defined by the given …\nDefault size in bytes of the Fiat-Shamir challenge used in …\nImplementation of Wesolowski’s VDF construction over an …\nAn implementation of Wesolowski’s VDF construction …\nReturns the argument unchanged.\nCalls U::from(self).\nCreate a new VDF using the group defined by the given …") \ No newline at end of file diff --git a/docs/src/fastcrypto_vdf/math/parameterized_group.rs.html b/docs/src/fastcrypto_vdf/math/parameterized_group.rs.html index 94585291a..ca5470268 100644 --- a/docs/src/fastcrypto_vdf/math/parameterized_group.rs.html +++ b/docs/src/fastcrypto_vdf/math/parameterized_group.rs.html @@ -64,12 +64,6 @@ 64 65 66 -67 -68 -69 -70 -71 -72 
// Copyright (c) 2022, Mysten Labs, Inc.
 // SPDX-License-Identifier: Apache-2.0
 
@@ -91,31 +85,25 @@
 
     /// Returns true if this is an element of the group defined by `parameter`.
     fn is_in_group(&self, parameter: &Self::ParameterType) -> bool;
-}
 
-/// Compute self * scalar using a "Double-and-Add" algorithm for a positive scalar.
-pub(crate) fn multiply<G: ParameterizedGroupElement>(
-    input: &G,
-    scalar: &BigUint,
-    parameter: &G::ParameterType,
-) -> G {
-    (0..scalar.bits())
-        .rev()
-        .map(|i| scalar.bit(i))
-        .fold(G::zero(parameter), |acc, bit| {
-            let mut res = acc.double();
-            if bit {
-                res = res + input;
-            }
-            res
-        })
+    /// Compute self * scalar.
+    fn multiply(&self, scalar: &BigUint, parameter: &Self::ParameterType) -> Self {
+        // Generic double-and-add algorithm.
+        (0..scalar.bits())
+            .rev()
+            .map(|i| scalar.bit(i))
+            .fold(Self::zero(parameter), |acc, bit| match bit {
+                true => acc.double() + self,
+                false => acc.double(),
+            })
+    }
 }
 
 #[cfg(test)]
 mod tests {
     use crate::class_group::discriminant::Discriminant;
     use crate::class_group::QuadraticForm;
-    use crate::math::parameterized_group::{multiply, ParameterizedGroupElement};
+    use crate::math::parameterized_group::ParameterizedGroupElement;
     use num_bigint::BigUint;
     use num_traits::{One, Zero};
 
@@ -127,12 +115,12 @@
         // Edge cases
         assert_eq!(
             QuadraticForm::zero(&discriminant),
-            multiply(&input, &BigUint::zero(), &discriminant)
+            input.multiply(&BigUint::zero(), &discriminant)
         );
-        assert_eq!(input, multiply(&input, &BigUint::one(), &discriminant));
+        assert_eq!(input, input.multiply(&BigUint::one(), &discriminant));
 
         let exponent = 12345u64;
-        let output = multiply(&input, &BigUint::from(exponent), &discriminant);
+        let output = input.multiply(&BigUint::from(exponent), &discriminant);
 
         // Check alignment with repeated addition.
         let mut expected_output = input.clone();
diff --git a/docs/src/fastcrypto_vdf/rsa_group/mod.rs.html b/docs/src/fastcrypto_vdf/rsa_group/mod.rs.html
index 4491dd11c..e93362c96 100644
--- a/docs/src/fastcrypto_vdf/rsa_group/mod.rs.html
+++ b/docs/src/fastcrypto_vdf/rsa_group/mod.rs.html
@@ -154,6 +154,13 @@
 154
 155
 156
+157
+158
+159
+160
+161
+162
+163
 
// Copyright (c) 2022, Mysten Labs, Inc.
 // SPDX-License-Identifier: Apache-2.0
 
@@ -221,12 +228,19 @@
 impl<'a> ParameterizedGroupElement for RSAGroupElement<'a> {
     type ParameterType = &'a RSAModulus;
 
-    fn zero(parameter: &Self::ParameterType) -> Self {
-        Self::new(BigUint::one(), parameter)
+    fn zero(modulus: &Self::ParameterType) -> Self {
+        Self::new(BigUint::one(), modulus)
     }
 
-    fn is_in_group(&self, parameter: &Self::ParameterType) -> bool {
-        &self.modulus == parameter
+    fn is_in_group(&self, modulus: &Self::ParameterType) -> bool {
+        &self.modulus == modulus
+    }
+
+    fn multiply(&self, scalar: &BigUint, modulus: &Self::ParameterType) -> Self {
+        let value = self
+            .modulus
+            .ensure_in_subgroup(self.value.modpow(scalar, &modulus.value));
+        Self { value, modulus }
     }
 }
 
diff --git a/docs/src/fastcrypto_vdf/rsa_group/modulus.rs.html b/docs/src/fastcrypto_vdf/rsa_group/modulus.rs.html
index 67e58eb7c..5c090d140 100644
--- a/docs/src/fastcrypto_vdf/rsa_group/modulus.rs.html
+++ b/docs/src/fastcrypto_vdf/rsa_group/modulus.rs.html
@@ -68,6 +68,11 @@
 68
 69
 70
+71
+72
+73
+74
+75
 
// Copyright (c) 2022, Mysten Labs, Inc.
 // SPDX-License-Identifier: Apache-2.0
 
@@ -113,7 +118,12 @@
     /// modulus, the result is negated. This is to ensure that the result is in the subgroup
     /// <i>Z<sub>N</sub><sup>*</sup> / <±1></i>.
     pub(super) fn reduce(&self, value: BigUint) -> BigUint {
-        let value = value.mod_floor(&self.value);
+        self.ensure_in_subgroup(value.mod_floor(&self.value))
+    }
+
+    /// Assuming that `value < N`, this ensures that the given value is in the subgroup <i>Z<sub>N</sub><sup>*</sup> / <±1></i>.
+    /// Panics if `value` is greater than or equal to `N`.
+    pub(super) fn ensure_in_subgroup(&self, value: BigUint) -> BigUint {
         if value < self.half {
             value
         } else {
diff --git a/docs/src/fastcrypto_vdf/vdf/pietrzak.rs.html b/docs/src/fastcrypto_vdf/vdf/pietrzak.rs.html
index 041e49dcb..963ceb54b 100644
--- a/docs/src/fastcrypto_vdf/vdf/pietrzak.rs.html
+++ b/docs/src/fastcrypto_vdf/vdf/pietrzak.rs.html
@@ -211,10 +211,33 @@
 211
 212
 213
+214
+215
+216
+217
+218
+219
+220
+221
+222
+223
+224
+225
+226
+227
+228
+229
+230
+231
+232
+233
+234
+235
+236
 
// Copyright (c) 2022, Mysten Labs, Inc.
 // SPDX-License-Identifier: Apache-2.0
 
-use crate::math::parameterized_group::{multiply, ParameterizedGroupElement};
+use crate::math::parameterized_group::ParameterizedGroupElement;
 use crate::vdf::VDF;
 use fastcrypto::error::FastCryptoError::{InvalidInput, InvalidProof};
 use fastcrypto::error::FastCryptoResult;
@@ -252,6 +275,14 @@
             iterations,
         }
     }
+
+    /// Compute the Fiat-Shamir challenge used in Pietrzak's VDF construction.
+    fn compute_challenge(&self, input: &G, output: &G, mu: &G) -> BigUint {
+        let seed = bcs::to_bytes(&(input, output, mu, self.iterations, &self.group_parameter))
+            .expect("Failed to serialize Fiat-Shamir input.");
+        let hash = Keccak256::digest(seed);
+        BigUint::from_bytes_be(&hash.digest[..DEFAULT_CHALLENGE_SIZE_IN_BYTES])
+    }
 }
 
 impl<G: ParameterizedGroupElement + Serialize> VDF for PietrzaksVDF<G>
@@ -288,9 +319,9 @@
             // TODO: Precompute some of the mu's to speed up the proof generation.
             let mu = x.clone().repeated_doubling(t);
 
-            let r = compute_challenge(self, &x, &y, &mu);
-            x = multiply(&x, &r, &self.group_parameter) + &mu;
-            y = multiply(&mu, &r, &self.group_parameter) + &y;
+            let r = self.compute_challenge(&x, &y, &mu);
+            x = x.multiply(&r, &self.group_parameter) + &mu;
+            y = mu.multiply(&r, &self.group_parameter) + &y;
 
             proof.push(mu);
         }
@@ -316,9 +347,9 @@
                 y = y.double();
             }
 
-            let r = compute_challenge(self, &x, &y, mu);
-            x = multiply(&x, &r, &self.group_parameter) + mu;
-            y = multiply(mu, &r, &self.group_parameter) + &y;
+            let r = self.compute_challenge(&x, &y, mu);
+            x = x.multiply(&r, &self.group_parameter) + mu;
+            y = mu.multiply(&r, &self.group_parameter) + &y;
         }
 
         // In case the proof is shorter than the full proof, we need to compute the remaining powers.
@@ -330,22 +361,6 @@
     }
 }
 
-/// Compute the Fiat-Shamir challenge used in Pietrzak's VDF construction.
-fn compute_challenge<G: ParameterizedGroupElement + Serialize>(
-    vdf: &PietrzaksVDF<G>,
-    input: &G,
-    output: &G,
-    mu: &G,
-) -> BigUint
-where
-    G::ParameterType: Serialize,
-{
-    let seed = bcs::to_bytes(&(input, output, mu, vdf.iterations, &vdf.group_parameter))
-        .expect("Failed to serialize Fiat-Shamir input.");
-    let hash = Keccak256::digest(seed);
-    BigUint::from_bytes_be(&hash.digest[..DEFAULT_CHALLENGE_SIZE_IN_BYTES])
-}
-
 /// Replace t with (t+1) >> 1 and return true iff the input was odd.
 #[inline]
 fn check_parity_and_iterate(t: &mut u64) -> bool {
@@ -423,5 +438,36 @@
         let other_input = input.clone() + &input;
         assert!(vdf.verify(&other_input, &output, &proof).is_err())
     }
+
+    #[test]
+    fn test_verification() {
+        let iterations = 100000u64;
+        let input = RSAGroupElement::new(7u32.into(), &AMAZON_MODULUS_2048_REF);
+
+        let vdf = PietrzaksVDF::<RSAGroupElement>::new(&AMAZON_MODULUS_2048_REF, iterations);
+
+        let output = RSAGroupElement::new(BigUint::from_str("3672355472927810456151679905868758794616388736583581652860721896616180315835575064423750778001349052163223791724800901623993790866712822248888484109754966734883928871058715188132045817948670396453684148159917970871906760229102881786328076485709065174288114937597861379962478300572943579355762549162779462210911294105646062939394772010450396339819711345421231813212879300843731930189807951083800491228370195479515271316034750609611188992819886615677507435486955879522713591072027715880883277172276263534234336298488388979051136904224916555055212735687426081668066225539132052845808964107807201586990131791093492371778").unwrap(), &AMAZON_MODULUS_2048_REF);
+
+        let proof = [
+            "8719512874474216460687150647680854955292132854750703068763484269093165999505251186898178062066004619862656663698343691868497980570426526019975578885850544581914946790597872355640934341428693413899572424721269873153938666911042969304059487718891954826837874698630809943131078862483827048179876513916989352726065292297373409109550091793480245914861995645289031849847427508439025383190674698027602276320860090412338328667933755723078371787557008469872399255533817861369300159517919410447709106340745759633527098227506660977309887993315579818822200330785614717258672305343338813672124794370455365197734851856001184976030",
+            "3524225440490227716581914005817764728689326138271987326546913156143949550779591139824077984832090908071998951770389914336769029333480915517009260387548811330930648406468414527213930607990485031826572327430297154420012068864491234371049362834108095572222288210563942740991735388228265830602511240768621994740770804049029617345757918078538264560135467586163671018157956690861770799025782115742787596459481739552535516586086172662006852110953782305125365361525831420213691071299126328246388152487905764478231871643596200406647908089848722382856021765764700103197413553278821980238755080812642569566460155874926864973989",
+            "3386256193912258600563321427374151160437651417107230398140990906215918611413870201888792916418033967177817103485384285178003637404550898822951512439384277984377627754055120144092077652950815810643804322665300251229793337536560764764926079235179412052806380151642397223785653772910005773851385366606281262555049596002588808028004178177665489626495310464581979168814142288652114023204247090962814602454684901841935354676441552550033218538383127851117213323460171046993929640395141844677358751651632616897741890084456824284415415554894221269513288351780048483154293635621337002324127284236944745716110705339322771478131",
+            "7408862030172429723032582356161847253198188005112855906630189356951227804097029509883935224836192563731148726408119632983128842196882987765881545177086653651757096748219643205448581241037817385331996915432821304066168098773880393211961153863820790217510052941214079784321117971743731404301810060365970610316645229069960509651124240339464525485721413226027035555493674864907371842778371294951677138477875018003840619969373647380251579931187688167577599725809029577381715849590344663076500835477018110706747067929066540698745588647653032284281207590297280558283161226254697184936417182114406611858688290199092351638794",
+            "9528369401155898421336374761623167878924922005826918572675787143246237849874471257635361123764028975937343311664804485861820128360684057779979271237362810683850151327885936654765160960323604793157027745850425197516858623567687919335408856735970509721863383148065881142539924459849066413081803234738981126021705399792445956657733940194160711501942192074012722676182134009812129315502787932498635715069416080651060699212375799959775531304461678248368699251392095272154244316553547920213132393799101764442827812390852292543047588306534171173257087058146331742057376971999785759427057334778797976189560957105013350467045",
+            "10294651820160651728456829898879555551196961487064613372692384294265418044982827373843041565455655933992371447144565864904575509809947198474416922744319637148661233405028052214366165153902932698351161834805653679280884257744536629934561559541496076130305993849014886971786115597309448966484871145453391677209950550556478590364500734905015127553627540473598051645020805146472132102067032709164655196448902087849028550166457630712049225557448992309930729811971031335828818305551184854572895352878770266426086789864481188000057417074198845278355152274308525042623428164257444044541498663412953148100768983136146188235997",
+            "4749045743059502299076848945196073558631005868948441651589845799068150488425734086270947139878995514214119726260212551705844889280663704807069073071616386852792450852711805042766312070760756053408646662762397826414400752299162726413950336169847086249885638830927861421398231965683427732018263765712940081366775804116587569845878336332182016655558080273929449303602571070901792076802687535487545915059452072480809069254144639332974988342423715575563084819806637919328178725980692796438546565820486572953340526856360623620668058599315200343597721637054937740264892162125653205249722406415399818735024248737314552063747",
+            "5272521386133313093121504847176339485318640410159988398538154570040609938127193342269575965623490130675739152927549782661334170941321238880903335951305493326431599940919086128527082527057864468821840814550477028653687293814925163394101119890565259089917449040659282833402394902253943586909550853333057424633788010291693428637999909856531013688038817805974292565379653351375127609695388247301423539646327950220115990830645404216008980887159586046198784837543462911777611082256896302074042733126733093536925128289699426032159423325697676408264099787619827716147575504711932293307925317181532838376975174334760490178044",
+            "4865631439244694792682051927120887855014714782764996443468316201280149186411764462638919743896836216210355086464033599674608823616620181993224084354774021985050767398675323086421509833372146310317782744044433481505781466337868841734616907727794600499486966898550073615373789361818554381065300597950458611369588509114065985025852518182253888929859936361242940138578344904177539257408094849163580060796966127477986366148739231408126796157723280304456556233704922267395211269025280937735721607598808102862937894271692476411316343801775630519501390182293503303960113390510808164020764496445889549138522442194944316766219",
+            "1716098664111733751302684239386687925838384836544658006905034083331006633019856429890234964042806996064770725585636147008586818637936193658888381443567507219576974926569248997425135873112782252084087049174247625853371226689113885574956468036468201035128573779522685641470930864834546438686526548212910642194495508777532033343509629089340426924730626446347003141889733967730229296355986139573616824252745173021579889146711264881818395175840508044230472692250294317790079274412733463156608459907600873015033659104883567469349509785038318299646299550636867596927464451110109337227918075217459535287195599185046432272198",
+            "10721991997697793738717595864735689654814408802179139713299139161130174918125420293856907422920539738936394204606043102026032040519309913895955997218242869889330722353056722164513913325053855254230359609203831468726499782865513152890774696492202216752929686242664105376380907060826609793521588890690791106895587503800467949772773581224066322672834898563688334924748703360423621150393100717027630221055080843102194314393166621862146840652586817200363151726362689280490364249590829799246039599450021900326960690007908969307676046114319938297872389335199854504572884094360772400490069773329668111595259339308363041063871",
+            "24993235836866849416196592570323660996972817499564456104037943507194360405061754866850348770077420997103335102890585709469767629001870643341451985396909081660774052156782419424390497656420915820543525425352103071684707145165891840374067169328373245883329511678687043434601293171271199312025423435502927076645446502230342559583292008660994947133886690268696014405994231692380704451596507223379197197420921324939035607218784585824666269355224282438899491842717180848598449014025167402088262687787425520237057062755968280168112911893559397514451243586114205429244216713755580836976353622394774491637290756440823473904",
+            "8002840044191636897394105768503100351367843810943426955203265943939407779211249672257698205017741561535958104095665612435684465282015904737730202451805337613184916942787797112106584192538882516595181912717026458237097485563704041509438199717078206419533982984474171725446518666727110378813664918107052405840880667070832701817128246672829292017261411874510037160227026367399797925223118665562035040322045995481973053566119964317652423365276712206105413327459764222767039305354559649984488929528403367306919207004930556248185192286629700484211799294085032088235292426962942458433119325773711776898892739174573133259798",
+            "9808298167953463044183224853747590991821290083082693475897746710109152766350649057730805604162385834890955802232144653208502844156265486182999277061377895494700822405534823371717810993077165144659899399251399946686003871122626066126316460159851320953097822716750103981636398570978788394229208496720512000415568014823831712088816947453635369935021640264506413372998966855334669695718142871353958255047552753123177745051748277174077245602488815883354127415057464229321675973890199622571893243720584859039940876060951672389949282570769956932017208645843036419518163184395801601473092002267026597399366492737904207164145",
+            "3419924672544574100524058325383025198496207713265005632195290353279586550544804988055757778145112066368161851153318915869887514873926726636081263451040999914232751332583833616365834650019287835558155301861869825336660948178770848366160254240651864317486675126510537151881923158433631746791994990810114742904187471698817430077934405459479950737131082312281050974043218768012562886561272629075590257984018309718254526858184923594606358659772686305061082946653881595244349982087597745499473392706220050012667178661314295322165215791098424265370584312926915581831293094295870670813932186950843650836176864709988630778898",
+            "3876660104277748734969970799207654963546831221524157837790450138448447235917188249028042741771865887141807354675325586321042930971396579383599429668029844089074571818157381649964860225310811444870630848131459324585689921588479979399255647304741995870412178808125039448834571923055165839896461006202917186695764779234307600813983399230786701019298692652551177614160338386117023117927173943068934500519930664358506164490744248358331236180729050425334573543140408803841919596166155205764351816894658586553341628917380296648889364729838239067182538618852656851850409265336348330079350182770839095482851902292535994651519"
+        ].into_iter().map(|s| RSAGroupElement::new(BigUint::from_str(s).unwrap(), &AMAZON_MODULUS_2048_REF)).collect::<Vec<_>>();
+
+        assert!(vdf.verify(&input, &output, &proof).is_ok());
+    }
 }
\ No newline at end of file diff --git a/docs/src/fastcrypto_vdf/vdf/wesolowski.rs.html b/docs/src/fastcrypto_vdf/vdf/wesolowski.rs.html index 84980836f..113ad3e7e 100644 --- a/docs/src/fastcrypto_vdf/vdf/wesolowski.rs.html +++ b/docs/src/fastcrypto_vdf/vdf/wesolowski.rs.html @@ -342,7 +342,7 @@ // Algorithm from page 3 on https://crypto.stanford.edu/~dabo/pubs/papers/VDFsurvey.pdf let challenge = (self.challenge)(self, input, &output); let mut quotient_remainder = (BigUint::from(0u8), BigUint::from(2u8)); - let mut proof = multiplier.mul(&quotient_remainder.0); + let mut proof = G::zero(&self.group_parameter); for _ in 1..self.iterations { quotient_remainder.1.shl_assign(1); quotient_remainder = quotient_remainder.1.div_mod_floor(&challenge);