Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.BN254

Contents

BN254 curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint BN254 Fq Fr
type PJ = WJPoint BN254 Fq Fr
type PA = WAPoint BN254 Fq Fr
type R = 21888242871839275222246405745257275088548364400416034343698204186575808495617
type Fr = Prime R
type Q = 21888242871839275222246405745257275088696311157297823662689037894645226208583
type Fq = Prime Q
data BN254
_a :: Fq
_b :: Fq
_h :: Natural
_q :: Natural
_r :: Natural
_x :: Fq
_y :: Fq
gA :: PA
gJ :: PJ
gP :: PP

Documentation

module Data.Curve.Weierstrass

BN254 curve

type PP = WPPoint BN254 Fq Fr Source #

Projective BN254 point.

type PJ = WJPoint BN254 Fq Fr Source #

Jacobian BN254 point.

type PA = WAPoint BN254 Fq Fr Source #

Affine BN254 curve point.

type R = 21888242871839275222246405745257275088548364400416034343698204186575808495617 Source #

type Fr = Prime R Source #

Field of coefficients of BN254 curve.

type Q = 21888242871839275222246405745257275088696311157297823662689037894645226208583 Source #

type Fq = Prime Q Source #

Field of points of BN254 curve.

data BN254 Source #

BN254 curve.

Instances

WPCurve BN254 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254 Methods gP_ :: WPPoint BN254 Fq Fr Source #
WPCurve BN254 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254T Methods gP_ :: WPPoint BN254 Fq2 Fr Source #
WJCurve BN254 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254 Methods gJ_ :: WJPoint BN254 Fq Fr Source #
WJCurve BN254 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254T Methods gJ_ :: WJPoint BN254 Fq2 Fr Source #
WACurve BN254 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254 Methods gA_ :: WAPoint BN254 Fq Fr Source #
WACurve BN254 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254T Methods gA_ :: WAPoint BN254 Fq2 Fr Source #
Curve Weierstrass c BN254 Fq Fr => WCurve c BN254 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254 Methods a_ :: WPoint c BN254 Fq Fr -> Fq Source # b_ :: WPoint c BN254 Fq Fr -> Fq Source # h_ :: WPoint c BN254 Fq Fr -> Natural Source # q_ :: WPoint c BN254 Fq Fr -> Natural Source # r_ :: WPoint c BN254 Fq Fr -> Natural Source #
Curve Weierstrass c BN254 Fq2 Fr => WCurve c BN254 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BN254T Methods a_ :: WPoint c BN254 Fq2 Fr -> Fq2 Source # b_ :: WPoint c BN254 Fq2 Fr -> Fq2 Source # h_ :: WPoint c BN254 Fq2 Fr -> Natural Source # q_ :: WPoint c BN254 Fq2 Fr -> Natural Source # r_ :: WPoint c BN254 Fq2 Fr -> Natural Source #