twistededwards

package
v0.9.0 Latest Latest
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 Go to latest Published: Jan 5, 2023 License: Apache-2.0 Imports: 6 Imported by: 33

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 added in v0.6.1 

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 added in v0.6.1 

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 added in v0.8.0 

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 added in v0.6.1 

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

PointExtended point in extended coordinates

func (*PointExtended) Add added in v0.6.1 

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 added in v0.6.1 

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 added in v0.6.1 

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 added in v0.6.1 

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

FromAffine sets p in projective from p in affine

func (*PointExtended) IsZero added in v0.6.1 

func (p *PointExtended) IsZero() bool

IsZero returns true if p=0 false otherwise

func (*PointExtended) MixedAdd added in v0.6.1 

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 added in v0.6.1 

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 added in v0.6.1 

func (p *PointExtended) Neg(p1 *PointExtended) *PointExtended

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

func (*PointExtended) ScalarMultiplication added in v0.8.0 

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 added in v0.6.1 

func (p *PointExtended) Set(p1 *PointExtended) *PointExtended

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 added in v0.6.1 

func (p *PointProj) IsZero() bool

IsZero returns true if p=0 false otherwise

func (*PointProj) MixedAdd added in v0.5.2 

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 added in v0.8.0 

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

Source Files

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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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