twistededwards

package
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Published: Nov 11, 2022 License: Apache-2.0 Imports: 6 Imported by: 0

Documentation

Overview

Package twistededwards provides bn254's twisted edwards "companion curve" defined on fr.

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

This section is empty.

Types

type CurveParams

type CurveParams struct {
	A, D     fr.Element
	Cofactor fr.Element
	Order    big.Int
	Base     PointAffine
}

CurveParams curve parameters: ax^2 + y^2 = 1 + d*x^2*y^2

func GetEdwardsCurve

func GetEdwardsCurve() CurveParams

GetEdwardsCurve returns the twisted Edwards curve on bn254/Fr

type PointAffine

type PointAffine struct {
	X, Y fr.Element
}

PointAffine point on a twisted Edwards curve

func NewPointAffine

func NewPointAffine(x, y fr.Element) PointAffine

NewPointAffine creates a new instance of PointAffine

func (*PointAffine) Add

func (p *PointAffine) Add(p1, p2 *PointAffine) *PointAffine

Add adds two points (x,y), (u,v) on a twisted Edwards curve with parameters a, d modifies p

func (*PointAffine) Bytes

func (p *PointAffine) Bytes() [sizePointCompressed]byte

Bytes returns the compressed point as a byte array Follows https://tools.ietf.org/html/rfc8032#section-3.1, as the twisted Edwards implementation is primarily used for eddsa.

func (*PointAffine) Double

func (p *PointAffine) Double(p1 *PointAffine) *PointAffine

Double doubles point (x,y) on a twisted Edwards curve with parameters a, d modifies p

func (*PointAffine) Equal

func (p *PointAffine) Equal(p1 *PointAffine) bool

Equal returns true if p=p1 false otherwise

func (*PointAffine) FromExtended

func (p *PointAffine) FromExtended(p1 *PointExtended) *PointAffine

FromExtended sets p in affine from p in extended coordinates

func (*PointAffine) FromProj

func (p *PointAffine) FromProj(p1 *PointProj) *PointAffine

FromProj sets p in affine from p in projective

func (*PointAffine) IsOnCurve

func (p *PointAffine) IsOnCurve() bool

IsOnCurve checks if a point is on the twisted Edwards curve

func (*PointAffine) IsZero

func (p *PointAffine) IsZero() bool

IsZero returns true if p=0 false otherwise

func (*PointAffine) Marshal

func (p *PointAffine) Marshal() []byte

Marshal converts p to a byte slice

func (*PointAffine) Neg

func (p *PointAffine) Neg(p1 *PointAffine) *PointAffine

Neg sets p to -p1 and returns it

func (*PointAffine) ScalarMultiplication

func (p *PointAffine) ScalarMultiplication(p1 *PointAffine, scalar *big.Int) *PointAffine

ScalarMultiplication scalar multiplication of a point p1 in affine coordinates with a scalar in big.Int

func (*PointAffine) Set

func (p *PointAffine) Set(p1 *PointAffine) *PointAffine

Set sets p to p1 and return it

func (*PointAffine) SetBytes

func (p *PointAffine) SetBytes(buf []byte) (int, error)

SetBytes sets p from buf len(buf) >= sizePointCompressed buf contains the Y coordinate masked with a parity bit to recompute the X coordinate from the curve equation. See Bytes() and https://tools.ietf.org/html/rfc8032#section-3.1 Returns the number of read bytes and an error if the buffer is too short.

func (*PointAffine) Unmarshal

func (p *PointAffine) Unmarshal(b []byte) error

Unmarshal alias to SetBytes()

type PointExtended

type PointExtended struct {
	X, Y, Z, T fr.Element
}

PointExtended point in extended coordinates

func (*PointExtended) Add

func (p *PointExtended) Add(p1, p2 *PointExtended) *PointExtended

Add adds points in extended coordinates See https://hyperelliptic.org/EFD/g1p/auto-twisted-extended.html#addition-add-2008-hwcd-2

func (*PointExtended) Double

func (p *PointExtended) Double(p1 *PointExtended) *PointExtended

Double adds points in extended coordinates Dedicated doubling https://hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd

func (*PointExtended) Equal

func (p *PointExtended) Equal(p1 *PointExtended) bool

Equal returns true if p=p1 false otherwise If one point is on the affine chart Z=0 it returns false

func (*PointExtended) FromAffine

func (p *PointExtended) FromAffine(p1 *PointAffine) *PointExtended

FromAffine sets p in projective from p in affine

func (*PointExtended) IsZero

func (p *PointExtended) IsZero() bool

IsZero returns true if p=0 false otherwise

func (*PointExtended) MixedAdd

func (p *PointExtended) MixedAdd(p1 *PointExtended, p2 *PointAffine) *PointExtended

MixedAdd adds a point in extended coordinates to a point in affine coordinates See https://hyperelliptic.org/EFD/g1p/auto-twisted-extended.html#addition-madd-2008-hwcd-2

func (*PointExtended) MixedDouble

func (p *PointExtended) MixedDouble(p1 *PointExtended) *PointExtended

MixedDouble adds points in extended coordinates Dedicated mixed doubling https://hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-mdbl-2008-hwcd

func (*PointExtended) Neg

Neg negates point (x,y) on a twisted Edwards curve with parameters a, d modifies p

func (*PointExtended) ScalarMultiplication

func (p *PointExtended) ScalarMultiplication(p1 *PointExtended, scalar *big.Int) *PointExtended

ScalarMultiplication scalar multiplication of a point p1 in extended coordinates with a scalar in big.Int

func (*PointExtended) Set

Set sets p to p1 and return it

type PointProj

type PointProj struct {
	X, Y, Z fr.Element
}

PointProj point in projective coordinates

func (*PointProj) Add

func (p *PointProj) Add(p1, p2 *PointProj) *PointProj

Add adds points in projective coordinates cf https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#addition-add-2008-bbjlp

func (*PointProj) Double

func (p *PointProj) Double(p1 *PointProj) *PointProj

Double adds points in projective coordinates cf https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#doubling-dbl-2008-bbjlp

func (*PointProj) Equal

func (p *PointProj) Equal(p1 *PointProj) bool

Equal returns true if p=p1 false otherwise If one point is on the affine chart Z=0 it returns false

func (*PointProj) FromAffine

func (p *PointProj) FromAffine(p1 *PointAffine) *PointProj

FromAffine sets p in projective from p in affine

func (*PointProj) IsZero

func (p *PointProj) IsZero() bool

IsZero returns true if p=0 false otherwise

func (*PointProj) MixedAdd

func (p *PointProj) MixedAdd(p1 *PointProj, p2 *PointAffine) *PointProj

MixedAdd adds a point in projective to a point in affine coordinates cf https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#addition-madd-2008-bbjlp

func (*PointProj) Neg

func (p *PointProj) Neg(p1 *PointProj) *PointProj

Neg negates point (x,y) on a twisted Edwards curve with parameters a, d modifies p

func (*PointProj) ScalarMultiplication

func (p *PointProj) ScalarMultiplication(p1 *PointProj, scalar *big.Int) *PointProj

ScalarMultiplication scalar multiplication of a point p1 in projective coordinates with a scalar in big.Int

func (*PointProj) Set

func (p *PointProj) Set(p1 *PointProj) *PointProj

Set sets p to p1 and return it

Directories

Path Synopsis
Package eddsa provides EdDSA signature scheme on bn254's twisted edwards curve.
Package eddsa provides EdDSA signature scheme on bn254's twisted edwards curve.

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