Struct ShortWeierstrassCurve 

pub struct ShortWeierstrassCurve<F: Field> {
    pub a: F,
    pub b: F,
}

Short Weierstrass curve of the form y^2 = x^3 + a*x + b

Fields

a: F

b: F

Implementations

impl<F: Field> ShortWeierstrassCurve<F>

pub const fn new(a: F, b: F) -> Self

pub fn two_isogenies(&self) -> Vec<Isogeny<Self>>

where F: PrimeField,

pub fn x3_ax_b(&self) -> DensePolynomial<F>

Trait Implementations

impl<F: Field> CanonicalDeserialize for ShortWeierstrassCurve<F>

fn deserialize_with_mode<R: Read>( reader: R, compress: Compress, validate: Validate, ) -> Result<Self, SerializationError>

The general deserialize method that takes in customization flags.

fn deserialize_compressed<R>(reader: R) -> Result<Self, SerializationError>

where R: Read,

fn deserialize_compressed_unchecked<R>( reader: R, ) -> Result<Self, SerializationError>

where R: Read,

fn deserialize_uncompressed<R>(reader: R) -> Result<Self, SerializationError>

where R: Read,

fn deserialize_uncompressed_unchecked<R>( reader: R, ) -> Result<Self, SerializationError>

where R: Read,

impl<F: Field> CanonicalSerialize for ShortWeierstrassCurve<F>

fn serialize_with_mode<W: Write>( &self, writer: W, compress: Compress, ) -> Result<(), SerializationError>

The general serialize method that takes in customization flags.

fn serialized_size(&self, compress: Compress) -> usize

fn serialize_compressed<W>(&self, writer: W) -> Result<(), SerializationError>

where W: Write,

fn compressed_size(&self) -> usize

fn serialize_uncompressed<W>(&self, writer: W) -> Result<(), SerializationError>

where W: Write,

fn uncompressed_size(&self) -> usize

impl<F: Clone + Field> Clone for ShortWeierstrassCurve<F>

fn clone(&self) -> ShortWeierstrassCurve<F>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<F: Debug + Field> Debug for ShortWeierstrassCurve<F>

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

Formats the value using the given formatter.

impl<F: Default + Field> Default for ShortWeierstrassCurve<F>

fn default() -> ShortWeierstrassCurve<F>

Returns the “default value” for a type.

impl<F: Ord + Field> Ord for ShortWeierstrassCurve<F>

fn cmp(&self, other: &ShortWeierstrassCurve<F>) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl<F: PartialEq + Field> PartialEq for ShortWeierstrassCurve<F>

fn eq(&self, other: &ShortWeierstrassCurve<F>) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<F: PartialOrd + Field> PartialOrd for ShortWeierstrassCurve<F>

fn partial_cmp(&self, other: &ShortWeierstrassCurve<F>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl<F: Field> Valid for ShortWeierstrassCurve<F>

fn check(&self) -> Result<(), SerializationError>

fn batch_check<'a>( batch: impl Iterator<Item = &'a Self> + Send, ) -> Result<(), SerializationError>

where Self: 'a,

impl<F: Field> WeierstrassCurve for ShortWeierstrassCurve<F>

type F = F

fn a1(&self) -> F

Returns Weierstrass equation coefficient a1

fn a2(&self) -> F

Returns Weierstrass equation coefficient a2

fn a3(&self) -> F

Returns Weierstrass equation coefficient a3

fn a4(&self) -> F

Returns Weierstrass equation coefficient a4

fn a6(&self) -> F

Returns Weierstrass equation coefficient a6

impl<F: Copy + Field> Copy for ShortWeierstrassCurve<F>

impl<F: Eq + Field> Eq for ShortWeierstrassCurve<F>

impl<F: Field> StructuralPartialEq for ShortWeierstrassCurve<F>