Data.Curve.Weierstrass

Documentation

module Data.Curve

Weierstrass curves

class (GaloisField q, PrimeField r, Curve Weierstrass c e q r) => WCurve c e q r where

Weierstrass curves.

Methods

a_

Arguments

:: WPoint c e q r

-> q

Coefficient A.

b_

Arguments

:: WPoint c e q r

-> q

Coefficient B.

h_

Arguments

:: WPoint c e q r

-> Natural

Curve cofactor.

q_

Arguments

:: WPoint c e q r

-> Natural

Curve characteristic.

r_

Arguments

:: WPoint c e q r

-> Natural

Curve order.

Instances

Curve Weierstrass c ANSSIFRP256V1 Fq Fr => WCurve c ANSSIFRP256V1 Fq Fr

Defined in Data.Curve.Weierstrass.ANSSIFRP256V1

Methods

a_ :: WPoint c ANSSIFRP256V1 Fq Fr -> Fq

b_ :: WPoint c ANSSIFRP256V1 Fq Fr -> Fq

h_ :: WPoint c ANSSIFRP256V1 Fq Fr -> Natural

q_ :: WPoint c ANSSIFRP256V1 Fq Fr -> Natural

r_ :: WPoint c ANSSIFRP256V1 Fq Fr -> Natural

Curve Weierstrass c Anomalous Fq Fr => WCurve c Anomalous Fq Fr

Defined in Data.Curve.Weierstrass.Anomalous

Methods

a_ :: WPoint c Anomalous Fq Fr -> Fq

b_ :: WPoint c Anomalous Fq Fr -> Fq

h_ :: WPoint c Anomalous Fq Fr -> Natural

q_ :: WPoint c Anomalous Fq Fr -> Natural

r_ :: WPoint c Anomalous Fq Fr -> Natural

Curve Weierstrass c BLS12381 Fq Fr => WCurve c BLS12381 Fq Fr

Defined in Data.Curve.Weierstrass.BLS12381

Methods

a_ :: WPoint c BLS12381 Fq Fr -> Fq

b_ :: WPoint c BLS12381 Fq Fr -> Fq

h_ :: WPoint c BLS12381 Fq Fr -> Natural

q_ :: WPoint c BLS12381 Fq Fr -> Natural

r_ :: WPoint c BLS12381 Fq Fr -> Natural

Curve Weierstrass c BLS12381 Fq2 Fr => WCurve c BLS12381 Fq2 Fr

Defined in Data.Curve.Weierstrass.BLS12381T

Methods

a_ :: WPoint c BLS12381 Fq2 Fr -> Fq2

b_ :: WPoint c BLS12381 Fq2 Fr -> Fq2

h_ :: WPoint c BLS12381 Fq2 Fr -> Natural

q_ :: WPoint c BLS12381 Fq2 Fr -> Natural

r_ :: WPoint c BLS12381 Fq2 Fr -> Natural

Curve Weierstrass c BLS48581 Fq Fr => WCurve c BLS48581 Fq Fr

Defined in Data.Curve.Weierstrass.BLS48581

Methods

a_ :: WPoint c BLS48581 Fq Fr -> Fq

b_ :: WPoint c BLS48581 Fq Fr -> Fq

h_ :: WPoint c BLS48581 Fq Fr -> Natural

q_ :: WPoint c BLS48581 Fq Fr -> Natural

r_ :: WPoint c BLS48581 Fq Fr -> Natural

Curve Weierstrass c BLS48581 Fq8 Fr => WCurve c BLS48581 Fq8 Fr

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

a_ :: WPoint c BLS48581 Fq8 Fr -> Fq8

b_ :: WPoint c BLS48581 Fq8 Fr -> Fq8

h_ :: WPoint c BLS48581 Fq8 Fr -> Natural

q_ :: WPoint c BLS48581 Fq8 Fr -> Natural

r_ :: WPoint c BLS48581 Fq8 Fr -> Natural

Curve Weierstrass c BN224 Fq Fr => WCurve c BN224 Fq Fr

Defined in Data.Curve.Weierstrass.BN224

Methods

a_ :: WPoint c BN224 Fq Fr -> Fq

b_ :: WPoint c BN224 Fq Fr -> Fq

h_ :: WPoint c BN224 Fq Fr -> Natural

q_ :: WPoint c BN224 Fq Fr -> Natural

r_ :: WPoint c BN224 Fq Fr -> Natural

Curve Weierstrass c BN254 Fq Fr => WCurve c BN254 Fq Fr

Defined in Data.Curve.Weierstrass.BN254

Methods

a_ :: WPoint c BN254 Fq Fr -> Fq

b_ :: WPoint c BN254 Fq Fr -> Fq

h_ :: WPoint c BN254 Fq Fr -> Natural

q_ :: WPoint c BN254 Fq Fr -> Natural

r_ :: WPoint c BN254 Fq Fr -> Natural

Curve Weierstrass c BN254A Fq Fr => WCurve c BN254A Fq Fr

Defined in Data.Curve.Weierstrass.BN254A

Methods

a_ :: WPoint c BN254A Fq Fr -> Fq

b_ :: WPoint c BN254A Fq Fr -> Fq

h_ :: WPoint c BN254A Fq Fr -> Natural

q_ :: WPoint c BN254A Fq Fr -> Natural

r_ :: WPoint c BN254A Fq Fr -> Natural

Curve Weierstrass c BN254A Fq2 Fr => WCurve c BN254A Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254AT

Methods

a_ :: WPoint c BN254A Fq2 Fr -> Fq2

b_ :: WPoint c BN254A Fq2 Fr -> Fq2

h_ :: WPoint c BN254A Fq2 Fr -> Natural

q_ :: WPoint c BN254A Fq2 Fr -> Natural

r_ :: WPoint c BN254A Fq2 Fr -> Natural

Curve Weierstrass c BN254B Fq Fr => WCurve c BN254B Fq Fr

Defined in Data.Curve.Weierstrass.BN254B

Methods

a_ :: WPoint c BN254B Fq Fr -> Fq

b_ :: WPoint c BN254B Fq Fr -> Fq

h_ :: WPoint c BN254B Fq Fr -> Natural

q_ :: WPoint c BN254B Fq Fr -> Natural

r_ :: WPoint c BN254B Fq Fr -> Natural

Curve Weierstrass c BN254B Fq2 Fr => WCurve c BN254B Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254BT

Methods

a_ :: WPoint c BN254B Fq2 Fr -> Fq2

b_ :: WPoint c BN254B Fq2 Fr -> Fq2

h_ :: WPoint c BN254B Fq2 Fr -> Natural

q_ :: WPoint c BN254B Fq2 Fr -> Natural

r_ :: WPoint c BN254B Fq2 Fr -> Natural

Curve Weierstrass c BN254C Fq Fr => WCurve c BN254C Fq Fr

Defined in Data.Curve.Weierstrass.BN254C

Methods

a_ :: WPoint c BN254C Fq Fr -> Fq

b_ :: WPoint c BN254C Fq Fr -> Fq

h_ :: WPoint c BN254C Fq Fr -> Natural

q_ :: WPoint c BN254C Fq Fr -> Natural

r_ :: WPoint c BN254C Fq Fr -> Natural

Curve Weierstrass c BN254C Fq2 Fr => WCurve c BN254C Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254CT

Methods

a_ :: WPoint c BN254C Fq2 Fr -> Fq2

b_ :: WPoint c BN254C Fq2 Fr -> Fq2

h_ :: WPoint c BN254C Fq2 Fr -> Natural

q_ :: WPoint c BN254C Fq2 Fr -> Natural

r_ :: WPoint c BN254C Fq2 Fr -> Natural

Curve Weierstrass c BN254D Fq Fr => WCurve c BN254D Fq Fr

Defined in Data.Curve.Weierstrass.BN254D

Methods

a_ :: WPoint c BN254D Fq Fr -> Fq

b_ :: WPoint c BN254D Fq Fr -> Fq

h_ :: WPoint c BN254D Fq Fr -> Natural

q_ :: WPoint c BN254D Fq Fr -> Natural

r_ :: WPoint c BN254D Fq Fr -> Natural

Curve Weierstrass c BN254D Fq2 Fr => WCurve c BN254D Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254DT

Methods

a_ :: WPoint c BN254D Fq2 Fr -> Fq2

b_ :: WPoint c BN254D Fq2 Fr -> Fq2

h_ :: WPoint c BN254D Fq2 Fr -> Natural

q_ :: WPoint c BN254D Fq2 Fr -> Natural

r_ :: WPoint c BN254D Fq2 Fr -> Natural

Curve Weierstrass c BN254 Fq2 Fr => WCurve c BN254 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254T

Methods

a_ :: WPoint c BN254 Fq2 Fr -> Fq2

b_ :: WPoint c BN254 Fq2 Fr -> Fq2

h_ :: WPoint c BN254 Fq2 Fr -> Natural

q_ :: WPoint c BN254 Fq2 Fr -> Natural

r_ :: WPoint c BN254 Fq2 Fr -> Natural

Curve Weierstrass c BN256 Fq Fr => WCurve c BN256 Fq Fr

Defined in Data.Curve.Weierstrass.BN256

Methods

a_ :: WPoint c BN256 Fq Fr -> Fq

b_ :: WPoint c BN256 Fq Fr -> Fq

h_ :: WPoint c BN256 Fq Fr -> Natural

q_ :: WPoint c BN256 Fq Fr -> Natural

r_ :: WPoint c BN256 Fq Fr -> Natural

Curve Weierstrass c BN384 Fq Fr => WCurve c BN384 Fq Fr

Defined in Data.Curve.Weierstrass.BN384

Methods

a_ :: WPoint c BN384 Fq Fr -> Fq

b_ :: WPoint c BN384 Fq Fr -> Fq

h_ :: WPoint c BN384 Fq Fr -> Natural

q_ :: WPoint c BN384 Fq Fr -> Natural

r_ :: WPoint c BN384 Fq Fr -> Natural

Curve Weierstrass c BN462 Fq Fr => WCurve c BN462 Fq Fr

Defined in Data.Curve.Weierstrass.BN462

Methods

a_ :: WPoint c BN462 Fq Fr -> Fq

b_ :: WPoint c BN462 Fq Fr -> Fq

h_ :: WPoint c BN462 Fq Fr -> Natural

q_ :: WPoint c BN462 Fq Fr -> Natural

r_ :: WPoint c BN462 Fq Fr -> Natural

Curve Weierstrass c BN462 Fq2 Fr => WCurve c BN462 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN462T

Methods

a_ :: WPoint c BN462 Fq2 Fr -> Fq2

b_ :: WPoint c BN462 Fq2 Fr -> Fq2

h_ :: WPoint c BN462 Fq2 Fr -> Natural

q_ :: WPoint c BN462 Fq2 Fr -> Natural

r_ :: WPoint c BN462 Fq2 Fr -> Natural

Curve Weierstrass c BN512 Fq Fr => WCurve c BN512 Fq Fr

Defined in Data.Curve.Weierstrass.BN512

Methods

a_ :: WPoint c BN512 Fq Fr -> Fq

b_ :: WPoint c BN512 Fq Fr -> Fq

h_ :: WPoint c BN512 Fq Fr -> Natural

q_ :: WPoint c BN512 Fq Fr -> Natural

r_ :: WPoint c BN512 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP160R1 Fq Fr => WCurve c BrainpoolP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160R1

Methods

a_ :: WPoint c BrainpoolP160R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP160R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP160R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP160R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP160R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP160T1 Fq Fr => WCurve c BrainpoolP160T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160T1

Methods

a_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP160T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP160T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP160T1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP192R1 Fq Fr => WCurve c BrainpoolP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192R1

Methods

a_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP192R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP192R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP192R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP192T1 Fq Fr => WCurve c BrainpoolP192T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192T1

Methods

a_ :: WPoint c BrainpoolP192T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP192T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP192T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP192T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP192T1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP224R1 Fq Fr => WCurve c BrainpoolP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224R1

Methods

a_ :: WPoint c BrainpoolP224R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP224R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP224R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP224R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP224R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP224T1 Fq Fr => WCurve c BrainpoolP224T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224T1

Methods

a_ :: WPoint c BrainpoolP224T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP224T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP224T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP224T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP224T1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP256R1 Fq Fr => WCurve c BrainpoolP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256R1

Methods

a_ :: WPoint c BrainpoolP256R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP256R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP256R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP256R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP256R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP256T1 Fq Fr => WCurve c BrainpoolP256T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256T1

Methods

a_ :: WPoint c BrainpoolP256T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP256T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP256T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP256T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP256T1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP320R1 Fq Fr => WCurve c BrainpoolP320R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320R1

Methods

a_ :: WPoint c BrainpoolP320R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP320R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP320R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP320R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP320R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP320T1 Fq Fr => WCurve c BrainpoolP320T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320T1

Methods

a_ :: WPoint c BrainpoolP320T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP320T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP320T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP320T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP320T1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP384R1 Fq Fr => WCurve c BrainpoolP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384R1

Methods

a_ :: WPoint c BrainpoolP384R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP384R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP384R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP384R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP384R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP384T1 Fq Fr => WCurve c BrainpoolP384T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384T1

Methods

a_ :: WPoint c BrainpoolP384T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP384T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP384T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP384T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP384T1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP512R1 Fq Fr => WCurve c BrainpoolP512R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512R1

Methods

a_ :: WPoint c BrainpoolP512R1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP512R1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP512R1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP512R1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP512R1 Fq Fr -> Natural

Curve Weierstrass c BrainpoolP512T1 Fq Fr => WCurve c BrainpoolP512T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512T1

Methods

a_ :: WPoint c BrainpoolP512T1 Fq Fr -> Fq

b_ :: WPoint c BrainpoolP512T1 Fq Fr -> Fq

h_ :: WPoint c BrainpoolP512T1 Fq Fr -> Natural

q_ :: WPoint c BrainpoolP512T1 Fq Fr -> Natural

r_ :: WPoint c BrainpoolP512T1 Fq Fr -> Natural

Curve Weierstrass c SECP112R1 Fq Fr => WCurve c SECP112R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R1

Methods

a_ :: WPoint c SECP112R1 Fq Fr -> Fq

b_ :: WPoint c SECP112R1 Fq Fr -> Fq

h_ :: WPoint c SECP112R1 Fq Fr -> Natural

q_ :: WPoint c SECP112R1 Fq Fr -> Natural

r_ :: WPoint c SECP112R1 Fq Fr -> Natural

Curve Weierstrass c SECP112R2 Fq Fr => WCurve c SECP112R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R2

Methods

a_ :: WPoint c SECP112R2 Fq Fr -> Fq

b_ :: WPoint c SECP112R2 Fq Fr -> Fq

h_ :: WPoint c SECP112R2 Fq Fr -> Natural

q_ :: WPoint c SECP112R2 Fq Fr -> Natural

r_ :: WPoint c SECP112R2 Fq Fr -> Natural

Curve Weierstrass c SECP128R1 Fq Fr => WCurve c SECP128R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R1

Methods

a_ :: WPoint c SECP128R1 Fq Fr -> Fq

b_ :: WPoint c SECP128R1 Fq Fr -> Fq

h_ :: WPoint c SECP128R1 Fq Fr -> Natural

q_ :: WPoint c SECP128R1 Fq Fr -> Natural

r_ :: WPoint c SECP128R1 Fq Fr -> Natural

Curve Weierstrass c SECP128R2 Fq Fr => WCurve c SECP128R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R2

Methods

a_ :: WPoint c SECP128R2 Fq Fr -> Fq

b_ :: WPoint c SECP128R2 Fq Fr -> Fq

h_ :: WPoint c SECP128R2 Fq Fr -> Natural

q_ :: WPoint c SECP128R2 Fq Fr -> Natural

r_ :: WPoint c SECP128R2 Fq Fr -> Natural

Curve Weierstrass c SECP160K1 Fq Fr => WCurve c SECP160K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160K1

Methods

a_ :: WPoint c SECP160K1 Fq Fr -> Fq

b_ :: WPoint c SECP160K1 Fq Fr -> Fq

h_ :: WPoint c SECP160K1 Fq Fr -> Natural

q_ :: WPoint c SECP160K1 Fq Fr -> Natural

r_ :: WPoint c SECP160K1 Fq Fr -> Natural

Curve Weierstrass c SECP160R1 Fq Fr => WCurve c SECP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R1

Methods

a_ :: WPoint c SECP160R1 Fq Fr -> Fq

b_ :: WPoint c SECP160R1 Fq Fr -> Fq

h_ :: WPoint c SECP160R1 Fq Fr -> Natural

q_ :: WPoint c SECP160R1 Fq Fr -> Natural

r_ :: WPoint c SECP160R1 Fq Fr -> Natural

Curve Weierstrass c SECP160R2 Fq Fr => WCurve c SECP160R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R2

Methods

a_ :: WPoint c SECP160R2 Fq Fr -> Fq

b_ :: WPoint c SECP160R2 Fq Fr -> Fq

h_ :: WPoint c SECP160R2 Fq Fr -> Natural

q_ :: WPoint c SECP160R2 Fq Fr -> Natural

r_ :: WPoint c SECP160R2 Fq Fr -> Natural

Curve Weierstrass c SECP192K1 Fq Fr => WCurve c SECP192K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192K1

Methods

a_ :: WPoint c SECP192K1 Fq Fr -> Fq

b_ :: WPoint c SECP192K1 Fq Fr -> Fq

h_ :: WPoint c SECP192K1 Fq Fr -> Natural

q_ :: WPoint c SECP192K1 Fq Fr -> Natural

r_ :: WPoint c SECP192K1 Fq Fr -> Natural

Curve Weierstrass c SECP192R1 Fq Fr => WCurve c SECP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192R1

Methods

a_ :: WPoint c SECP192R1 Fq Fr -> Fq

b_ :: WPoint c SECP192R1 Fq Fr -> Fq

h_ :: WPoint c SECP192R1 Fq Fr -> Natural

q_ :: WPoint c SECP192R1 Fq Fr -> Natural

r_ :: WPoint c SECP192R1 Fq Fr -> Natural

Curve Weierstrass c SECP224K1 Fq Fr => WCurve c SECP224K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224K1

Methods

a_ :: WPoint c SECP224K1 Fq Fr -> Fq

b_ :: WPoint c SECP224K1 Fq Fr -> Fq

h_ :: WPoint c SECP224K1 Fq Fr -> Natural

q_ :: WPoint c SECP224K1 Fq Fr -> Natural

r_ :: WPoint c SECP224K1 Fq Fr -> Natural

Curve Weierstrass c SECP224R1 Fq Fr => WCurve c SECP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224R1

Methods

a_ :: WPoint c SECP224R1 Fq Fr -> Fq

b_ :: WPoint c SECP224R1 Fq Fr -> Fq

h_ :: WPoint c SECP224R1 Fq Fr -> Natural

q_ :: WPoint c SECP224R1 Fq Fr -> Natural

r_ :: WPoint c SECP224R1 Fq Fr -> Natural

Curve Weierstrass c SECP256K1 Fq Fr => WCurve c SECP256K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256K1

Methods

a_ :: WPoint c SECP256K1 Fq Fr -> Fq

b_ :: WPoint c SECP256K1 Fq Fr -> Fq

h_ :: WPoint c SECP256K1 Fq Fr -> Natural

q_ :: WPoint c SECP256K1 Fq Fr -> Natural

r_ :: WPoint c SECP256K1 Fq Fr -> Natural

Curve Weierstrass c SECP256R1 Fq Fr => WCurve c SECP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256R1

Methods

a_ :: WPoint c SECP256R1 Fq Fr -> Fq

b_ :: WPoint c SECP256R1 Fq Fr -> Fq

h_ :: WPoint c SECP256R1 Fq Fr -> Natural

q_ :: WPoint c SECP256R1 Fq Fr -> Natural

r_ :: WPoint c SECP256R1 Fq Fr -> Natural

Curve Weierstrass c SECP384R1 Fq Fr => WCurve c SECP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP384R1

Methods

a_ :: WPoint c SECP384R1 Fq Fr -> Fq

b_ :: WPoint c SECP384R1 Fq Fr -> Fq

h_ :: WPoint c SECP384R1 Fq Fr -> Natural

q_ :: WPoint c SECP384R1 Fq Fr -> Natural

r_ :: WPoint c SECP384R1 Fq Fr -> Natural

Curve Weierstrass c SECP521R1 Fq Fr => WCurve c SECP521R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP521R1

Methods

a_ :: WPoint c SECP521R1 Fq Fr -> Fq

b_ :: WPoint c SECP521R1 Fq Fr -> Fq

h_ :: WPoint c SECP521R1 Fq Fr -> Natural

q_ :: WPoint c SECP521R1 Fq Fr -> Natural

r_ :: WPoint c SECP521R1 Fq Fr -> Natural

type WPoint = Point Weierstrass

Weierstrass points.

Weierstrass affine curves

class WCurve Affine e q r => WACurve e q r where

Weierstrass affine curves y^2 = x^3 + Ax + B.

Methods

gA_

Arguments

:: WAPoint e q r

Curve generator.

Instances

WACurve ANSSIFRP256V1 Fq Fr

Defined in Data.Curve.Weierstrass.ANSSIFRP256V1

Methods

gA_ :: WAPoint ANSSIFRP256V1 Fq Fr

WACurve Anomalous Fq Fr

Defined in Data.Curve.Weierstrass.Anomalous

Methods

gA_ :: WAPoint Anomalous Fq Fr

WACurve BLS12381 Fq Fr

Defined in Data.Curve.Weierstrass.BLS12381

Methods

gA_ :: WAPoint BLS12381 Fq Fr

WACurve BLS12381 Fq2 Fr

Defined in Data.Curve.Weierstrass.BLS12381T

Methods

gA_ :: WAPoint BLS12381 Fq2 Fr

WACurve BLS48581 Fq Fr

Defined in Data.Curve.Weierstrass.BLS48581

Methods

gA_ :: WAPoint BLS48581 Fq Fr

WACurve BLS48581 Fq8 Fr

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gA_ :: WAPoint BLS48581 Fq8 Fr

WACurve BN224 Fq Fr

Defined in Data.Curve.Weierstrass.BN224

Methods

gA_ :: WAPoint BN224 Fq Fr

WACurve BN254 Fq Fr

Defined in Data.Curve.Weierstrass.BN254

Methods

gA_ :: WAPoint BN254 Fq Fr

WACurve BN254 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254T

Methods

gA_ :: WAPoint BN254 Fq2 Fr

WACurve BN254A Fq Fr

Defined in Data.Curve.Weierstrass.BN254A

Methods

gA_ :: WAPoint BN254A Fq Fr

WACurve BN254A Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254AT

Methods

gA_ :: WAPoint BN254A Fq2 Fr

WACurve BN254B Fq Fr

Defined in Data.Curve.Weierstrass.BN254B

Methods

gA_ :: WAPoint BN254B Fq Fr

WACurve BN254B Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254BT

Methods

gA_ :: WAPoint BN254B Fq2 Fr

WACurve BN254C Fq Fr

Defined in Data.Curve.Weierstrass.BN254C

Methods

gA_ :: WAPoint BN254C Fq Fr

WACurve BN254C Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254CT

Methods

gA_ :: WAPoint BN254C Fq2 Fr

WACurve BN254D Fq Fr

Defined in Data.Curve.Weierstrass.BN254D

Methods

gA_ :: WAPoint BN254D Fq Fr

WACurve BN254D Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254DT

Methods

gA_ :: WAPoint BN254D Fq2 Fr

WACurve BN256 Fq Fr

Defined in Data.Curve.Weierstrass.BN256

Methods

gA_ :: WAPoint BN256 Fq Fr

WACurve BN384 Fq Fr

Defined in Data.Curve.Weierstrass.BN384

Methods

gA_ :: WAPoint BN384 Fq Fr

WACurve BN462 Fq Fr

Defined in Data.Curve.Weierstrass.BN462

Methods

gA_ :: WAPoint BN462 Fq Fr

WACurve BN462 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN462T

Methods

gA_ :: WAPoint BN462 Fq2 Fr

WACurve BN512 Fq Fr

Defined in Data.Curve.Weierstrass.BN512

Methods

gA_ :: WAPoint BN512 Fq Fr

WACurve BrainpoolP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160R1

Methods

gA_ :: WAPoint BrainpoolP160R1 Fq Fr

WACurve BrainpoolP160T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160T1

Methods

gA_ :: WAPoint BrainpoolP160T1 Fq Fr

WACurve BrainpoolP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192R1

Methods

gA_ :: WAPoint BrainpoolP192R1 Fq Fr

WACurve BrainpoolP192T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192T1

Methods

gA_ :: WAPoint BrainpoolP192T1 Fq Fr

WACurve BrainpoolP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224R1

Methods

gA_ :: WAPoint BrainpoolP224R1 Fq Fr

WACurve BrainpoolP224T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224T1

Methods

gA_ :: WAPoint BrainpoolP224T1 Fq Fr

WACurve BrainpoolP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256R1

Methods

gA_ :: WAPoint BrainpoolP256R1 Fq Fr

WACurve BrainpoolP256T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256T1

Methods

gA_ :: WAPoint BrainpoolP256T1 Fq Fr

WACurve BrainpoolP320R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320R1

Methods

gA_ :: WAPoint BrainpoolP320R1 Fq Fr

WACurve BrainpoolP320T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320T1

Methods

gA_ :: WAPoint BrainpoolP320T1 Fq Fr

WACurve BrainpoolP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384R1

Methods

gA_ :: WAPoint BrainpoolP384R1 Fq Fr

WACurve BrainpoolP384T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384T1

Methods

gA_ :: WAPoint BrainpoolP384T1 Fq Fr

WACurve BrainpoolP512R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512R1

Methods

gA_ :: WAPoint BrainpoolP512R1 Fq Fr

WACurve BrainpoolP512T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512T1

Methods

gA_ :: WAPoint BrainpoolP512T1 Fq Fr

WACurve SECP112R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R1

Methods

gA_ :: WAPoint SECP112R1 Fq Fr

WACurve SECP112R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R2

Methods

gA_ :: WAPoint SECP112R2 Fq Fr

WACurve SECP128R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R1

Methods

gA_ :: WAPoint SECP128R1 Fq Fr

WACurve SECP128R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R2

Methods

gA_ :: WAPoint SECP128R2 Fq Fr

WACurve SECP160K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160K1

Methods

gA_ :: WAPoint SECP160K1 Fq Fr

WACurve SECP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R1

Methods

gA_ :: WAPoint SECP160R1 Fq Fr

WACurve SECP160R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R2

Methods

gA_ :: WAPoint SECP160R2 Fq Fr

WACurve SECP192K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192K1

Methods

gA_ :: WAPoint SECP192K1 Fq Fr

WACurve SECP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192R1

Methods

gA_ :: WAPoint SECP192R1 Fq Fr

WACurve SECP224K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224K1

Methods

gA_ :: WAPoint SECP224K1 Fq Fr

WACurve SECP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224R1

Methods

gA_ :: WAPoint SECP224R1 Fq Fr

WACurve SECP256K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256K1

Methods

gA_ :: WAPoint SECP256K1 Fq Fr

WACurve SECP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256R1

Methods

gA_ :: WAPoint SECP256R1 Fq Fr

WACurve SECP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP384R1

Methods

gA_ :: WAPoint SECP384R1 Fq Fr

WACurve SECP521R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP521R1

Methods

gA_ :: WAPoint SECP521R1 Fq Fr

type WAPoint = WPoint Affine

Weierstrass affine points.

Weierstrass Jacobian curves

class WCurve Jacobian e q r => WJCurve e q r where

Weierstrass Jacobian curves y^2 = x^3 + Ax + B.

Methods

gJ_

Arguments

:: WJPoint e q r

Curve generator.

Instances

WJCurve ANSSIFRP256V1 Fq Fr

Defined in Data.Curve.Weierstrass.ANSSIFRP256V1

Methods

gJ_ :: WJPoint ANSSIFRP256V1 Fq Fr

WJCurve Anomalous Fq Fr

Defined in Data.Curve.Weierstrass.Anomalous

Methods

gJ_ :: WJPoint Anomalous Fq Fr

WJCurve BLS12381 Fq Fr

Defined in Data.Curve.Weierstrass.BLS12381

Methods

gJ_ :: WJPoint BLS12381 Fq Fr

WJCurve BLS12381 Fq2 Fr

Defined in Data.Curve.Weierstrass.BLS12381T

Methods

gJ_ :: WJPoint BLS12381 Fq2 Fr

WJCurve BLS48581 Fq Fr

Defined in Data.Curve.Weierstrass.BLS48581

Methods

gJ_ :: WJPoint BLS48581 Fq Fr

WJCurve BLS48581 Fq8 Fr

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gJ_ :: WJPoint BLS48581 Fq8 Fr

WJCurve BN224 Fq Fr

Defined in Data.Curve.Weierstrass.BN224

Methods

gJ_ :: WJPoint BN224 Fq Fr

WJCurve BN254 Fq Fr

Defined in Data.Curve.Weierstrass.BN254

Methods

gJ_ :: WJPoint BN254 Fq Fr

WJCurve BN254 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254T

Methods

gJ_ :: WJPoint BN254 Fq2 Fr

WJCurve BN254A Fq Fr

Defined in Data.Curve.Weierstrass.BN254A

Methods

gJ_ :: WJPoint BN254A Fq Fr

WJCurve BN254A Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254AT

Methods

gJ_ :: WJPoint BN254A Fq2 Fr

WJCurve BN254B Fq Fr

Defined in Data.Curve.Weierstrass.BN254B

Methods

gJ_ :: WJPoint BN254B Fq Fr

WJCurve BN254B Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254BT

Methods

gJ_ :: WJPoint BN254B Fq2 Fr

WJCurve BN254C Fq Fr

Defined in Data.Curve.Weierstrass.BN254C

Methods

gJ_ :: WJPoint BN254C Fq Fr

WJCurve BN254C Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254CT

Methods

gJ_ :: WJPoint BN254C Fq2 Fr

WJCurve BN254D Fq Fr

Defined in Data.Curve.Weierstrass.BN254D

Methods

gJ_ :: WJPoint BN254D Fq Fr

WJCurve BN254D Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254DT

Methods

gJ_ :: WJPoint BN254D Fq2 Fr

WJCurve BN256 Fq Fr

Defined in Data.Curve.Weierstrass.BN256

Methods

gJ_ :: WJPoint BN256 Fq Fr

WJCurve BN384 Fq Fr

Defined in Data.Curve.Weierstrass.BN384

Methods

gJ_ :: WJPoint BN384 Fq Fr

WJCurve BN462 Fq Fr

Defined in Data.Curve.Weierstrass.BN462

Methods

gJ_ :: WJPoint BN462 Fq Fr

WJCurve BN462 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN462T

Methods

gJ_ :: WJPoint BN462 Fq2 Fr

WJCurve BN512 Fq Fr

Defined in Data.Curve.Weierstrass.BN512

Methods

gJ_ :: WJPoint BN512 Fq Fr

WJCurve BrainpoolP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160R1

Methods

gJ_ :: WJPoint BrainpoolP160R1 Fq Fr

WJCurve BrainpoolP160T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160T1

Methods

gJ_ :: WJPoint BrainpoolP160T1 Fq Fr

WJCurve BrainpoolP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192R1

Methods

gJ_ :: WJPoint BrainpoolP192R1 Fq Fr

WJCurve BrainpoolP192T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192T1

Methods

gJ_ :: WJPoint BrainpoolP192T1 Fq Fr

WJCurve BrainpoolP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224R1

Methods

gJ_ :: WJPoint BrainpoolP224R1 Fq Fr

WJCurve BrainpoolP224T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224T1

Methods

gJ_ :: WJPoint BrainpoolP224T1 Fq Fr

WJCurve BrainpoolP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256R1

Methods

gJ_ :: WJPoint BrainpoolP256R1 Fq Fr

WJCurve BrainpoolP256T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256T1

Methods

gJ_ :: WJPoint BrainpoolP256T1 Fq Fr

WJCurve BrainpoolP320R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320R1

Methods

gJ_ :: WJPoint BrainpoolP320R1 Fq Fr

WJCurve BrainpoolP320T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320T1

Methods

gJ_ :: WJPoint BrainpoolP320T1 Fq Fr

WJCurve BrainpoolP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384R1

Methods

gJ_ :: WJPoint BrainpoolP384R1 Fq Fr

WJCurve BrainpoolP384T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384T1

Methods

gJ_ :: WJPoint BrainpoolP384T1 Fq Fr

WJCurve BrainpoolP512R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512R1

Methods

gJ_ :: WJPoint BrainpoolP512R1 Fq Fr

WJCurve BrainpoolP512T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512T1

Methods

gJ_ :: WJPoint BrainpoolP512T1 Fq Fr

WJCurve SECP112R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R1

Methods

gJ_ :: WJPoint SECP112R1 Fq Fr

WJCurve SECP112R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R2

Methods

gJ_ :: WJPoint SECP112R2 Fq Fr

WJCurve SECP128R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R1

Methods

gJ_ :: WJPoint SECP128R1 Fq Fr

WJCurve SECP128R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R2

Methods

gJ_ :: WJPoint SECP128R2 Fq Fr

WJCurve SECP160K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160K1

Methods

gJ_ :: WJPoint SECP160K1 Fq Fr

WJCurve SECP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R1

Methods

gJ_ :: WJPoint SECP160R1 Fq Fr

WJCurve SECP160R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R2

Methods

gJ_ :: WJPoint SECP160R2 Fq Fr

WJCurve SECP192K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192K1

Methods

gJ_ :: WJPoint SECP192K1 Fq Fr

WJCurve SECP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192R1

Methods

gJ_ :: WJPoint SECP192R1 Fq Fr

WJCurve SECP224K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224K1

Methods

gJ_ :: WJPoint SECP224K1 Fq Fr

WJCurve SECP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224R1

Methods

gJ_ :: WJPoint SECP224R1 Fq Fr

WJCurve SECP256K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256K1

Methods

gJ_ :: WJPoint SECP256K1 Fq Fr

WJCurve SECP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256R1

Methods

gJ_ :: WJPoint SECP256R1 Fq Fr

WJCurve SECP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP384R1

Methods

gJ_ :: WJPoint SECP384R1 Fq Fr

WJCurve SECP521R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP521R1

Methods

gJ_ :: WJPoint SECP521R1 Fq Fr

type WJPoint = WPoint Jacobian

Weierstrass Jacobian points.

Weierstrass projective curves

class WCurve Projective e q r => WPCurve e q r where

Weierstrass projective curves y^2 = x^3 + Ax + B.

Methods

gP_

Arguments

:: WPPoint e q r

Curve generator.

Instances

WPCurve ANSSIFRP256V1 Fq Fr

Defined in Data.Curve.Weierstrass.ANSSIFRP256V1

Methods

gP_ :: WPPoint ANSSIFRP256V1 Fq Fr

WPCurve Anomalous Fq Fr

Defined in Data.Curve.Weierstrass.Anomalous

Methods

gP_ :: WPPoint Anomalous Fq Fr

WPCurve BLS12381 Fq Fr

Defined in Data.Curve.Weierstrass.BLS12381

Methods

gP_ :: WPPoint BLS12381 Fq Fr

WPCurve BLS12381 Fq2 Fr

Defined in Data.Curve.Weierstrass.BLS12381T

Methods

gP_ :: WPPoint BLS12381 Fq2 Fr

WPCurve BLS48581 Fq Fr

Defined in Data.Curve.Weierstrass.BLS48581

Methods

gP_ :: WPPoint BLS48581 Fq Fr

WPCurve BLS48581 Fq8 Fr

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gP_ :: WPPoint BLS48581 Fq8 Fr

WPCurve BN224 Fq Fr

Defined in Data.Curve.Weierstrass.BN224

Methods

gP_ :: WPPoint BN224 Fq Fr

WPCurve BN254 Fq Fr

Defined in Data.Curve.Weierstrass.BN254

Methods

gP_ :: WPPoint BN254 Fq Fr

WPCurve BN254 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254T

Methods

gP_ :: WPPoint BN254 Fq2 Fr

WPCurve BN254A Fq Fr

Defined in Data.Curve.Weierstrass.BN254A

Methods

gP_ :: WPPoint BN254A Fq Fr

WPCurve BN254A Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254AT

Methods

gP_ :: WPPoint BN254A Fq2 Fr

WPCurve BN254B Fq Fr

Defined in Data.Curve.Weierstrass.BN254B

Methods

gP_ :: WPPoint BN254B Fq Fr

WPCurve BN254B Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254BT

Methods

gP_ :: WPPoint BN254B Fq2 Fr

WPCurve BN254C Fq Fr

Defined in Data.Curve.Weierstrass.BN254C

Methods

gP_ :: WPPoint BN254C Fq Fr

WPCurve BN254C Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254CT

Methods

gP_ :: WPPoint BN254C Fq2 Fr

WPCurve BN254D Fq Fr

Defined in Data.Curve.Weierstrass.BN254D

Methods

gP_ :: WPPoint BN254D Fq Fr

WPCurve BN254D Fq2 Fr

Defined in Data.Curve.Weierstrass.BN254DT

Methods

gP_ :: WPPoint BN254D Fq2 Fr

WPCurve BN256 Fq Fr

Defined in Data.Curve.Weierstrass.BN256

Methods

gP_ :: WPPoint BN256 Fq Fr

WPCurve BN384 Fq Fr

Defined in Data.Curve.Weierstrass.BN384

Methods

gP_ :: WPPoint BN384 Fq Fr

WPCurve BN462 Fq Fr

Defined in Data.Curve.Weierstrass.BN462

Methods

gP_ :: WPPoint BN462 Fq Fr

WPCurve BN462 Fq2 Fr

Defined in Data.Curve.Weierstrass.BN462T

Methods

gP_ :: WPPoint BN462 Fq2 Fr

WPCurve BN512 Fq Fr

Defined in Data.Curve.Weierstrass.BN512

Methods

gP_ :: WPPoint BN512 Fq Fr

WPCurve BrainpoolP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160R1

Methods

gP_ :: WPPoint BrainpoolP160R1 Fq Fr

WPCurve BrainpoolP160T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP160T1

Methods

gP_ :: WPPoint BrainpoolP160T1 Fq Fr

WPCurve BrainpoolP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192R1

Methods

gP_ :: WPPoint BrainpoolP192R1 Fq Fr

WPCurve BrainpoolP192T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP192T1

Methods

gP_ :: WPPoint BrainpoolP192T1 Fq Fr

WPCurve BrainpoolP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224R1

Methods

gP_ :: WPPoint BrainpoolP224R1 Fq Fr

WPCurve BrainpoolP224T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP224T1

Methods

gP_ :: WPPoint BrainpoolP224T1 Fq Fr

WPCurve BrainpoolP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256R1

Methods

gP_ :: WPPoint BrainpoolP256R1 Fq Fr

WPCurve BrainpoolP256T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP256T1

Methods

gP_ :: WPPoint BrainpoolP256T1 Fq Fr

WPCurve BrainpoolP320R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320R1

Methods

gP_ :: WPPoint BrainpoolP320R1 Fq Fr

WPCurve BrainpoolP320T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP320T1

Methods

gP_ :: WPPoint BrainpoolP320T1 Fq Fr

WPCurve BrainpoolP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384R1

Methods

gP_ :: WPPoint BrainpoolP384R1 Fq Fr

WPCurve BrainpoolP384T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP384T1

Methods

gP_ :: WPPoint BrainpoolP384T1 Fq Fr

WPCurve BrainpoolP512R1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512R1

Methods

gP_ :: WPPoint BrainpoolP512R1 Fq Fr

WPCurve BrainpoolP512T1 Fq Fr

Defined in Data.Curve.Weierstrass.BrainpoolP512T1

Methods

gP_ :: WPPoint BrainpoolP512T1 Fq Fr

WPCurve SECP112R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R1

Methods

gP_ :: WPPoint SECP112R1 Fq Fr

WPCurve SECP112R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP112R2

Methods

gP_ :: WPPoint SECP112R2 Fq Fr

WPCurve SECP128R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R1

Methods

gP_ :: WPPoint SECP128R1 Fq Fr

WPCurve SECP128R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP128R2

Methods

gP_ :: WPPoint SECP128R2 Fq Fr

WPCurve SECP160K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160K1

Methods

gP_ :: WPPoint SECP160K1 Fq Fr

WPCurve SECP160R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R1

Methods

gP_ :: WPPoint SECP160R1 Fq Fr

WPCurve SECP160R2 Fq Fr

Defined in Data.Curve.Weierstrass.SECP160R2

Methods

gP_ :: WPPoint SECP160R2 Fq Fr

WPCurve SECP192K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192K1

Methods

gP_ :: WPPoint SECP192K1 Fq Fr

WPCurve SECP192R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP192R1

Methods

gP_ :: WPPoint SECP192R1 Fq Fr

WPCurve SECP224K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224K1

Methods

gP_ :: WPPoint SECP224K1 Fq Fr

WPCurve SECP224R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP224R1

Methods

gP_ :: WPPoint SECP224R1 Fq Fr

WPCurve SECP256K1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256K1

Methods

gP_ :: WPPoint SECP256K1 Fq Fr

WPCurve SECP256R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP256R1

Methods

gP_ :: WPPoint SECP256R1 Fq Fr

WPCurve SECP384R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP384R1

Methods

gP_ :: WPPoint SECP384R1 Fq Fr

WPCurve SECP521R1 Fq Fr

Defined in Data.Curve.Weierstrass.SECP521R1

Methods

gP_ :: WPPoint SECP521R1 Fq Fr

type WPPoint = WPoint Projective

Weierstrass projective points.

Orphan instances

WACurve e q r => Curve Weierstrass Affine (e :: k) q r

Associated Types

data Point Weierstrass Affine e q r :: Type

Methods

char :: Point Weierstrass Affine e q r -> Natural

cof :: Point Weierstrass Affine e q r -> Natural

def :: Point Weierstrass Affine e q r -> Bool

disc :: Point Weierstrass Affine e q r -> q

order :: Point Weierstrass Affine e q r -> Natural

add :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r

dbl :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r

id :: Point Weierstrass Affine e q r

inv :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r

frob :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r

fromA :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r

gen :: Point Weierstrass Affine e q r

point :: q -> q -> Maybe (Point Weierstrass Affine e q r)

pointX :: q -> Maybe (Point Weierstrass Affine e q r)

rnd :: MonadRandom m => m (Point Weierstrass Affine e q r)

toA :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r

yX :: Point Weierstrass Affine e q r -> q -> Maybe q

WJCurve e q r => Curve Weierstrass Jacobian (e :: k) q r

Associated Types

data Point Weierstrass Jacobian e q r :: Type

Methods

char :: Point Weierstrass Jacobian e q r -> Natural

cof :: Point Weierstrass Jacobian e q r -> Natural

def :: Point Weierstrass Jacobian e q r -> Bool

disc :: Point Weierstrass Jacobian e q r -> q

order :: Point Weierstrass Jacobian e q r -> Natural

add :: Point Weierstrass Jacobian e q r -> Point Weierstrass Jacobian e q r -> Point Weierstrass Jacobian e q r

dbl :: Point Weierstrass Jacobian e q r -> Point Weierstrass Jacobian e q r

id :: Point Weierstrass Jacobian e q r

inv :: Point Weierstrass Jacobian e q r -> Point Weierstrass Jacobian e q r

frob :: Point Weierstrass Jacobian e q r -> Point Weierstrass Jacobian e q r

fromA :: Point Weierstrass Affine e q r -> Point Weierstrass Jacobian e q r

gen :: Point Weierstrass Jacobian e q r

point :: q -> q -> Maybe (Point Weierstrass Jacobian e q r)

pointX :: q -> Maybe (Point Weierstrass Jacobian e q r)

rnd :: MonadRandom m => m (Point Weierstrass Jacobian e q r)

toA :: Point Weierstrass Jacobian e q r -> Point Weierstrass Affine e q r

yX :: Point Weierstrass Jacobian e q r -> q -> Maybe q

WPCurve e q r => Curve Weierstrass Projective (e :: k) q r

Associated Types

data Point Weierstrass Projective e q r :: Type

Methods

char :: Point Weierstrass Projective e q r -> Natural

cof :: Point Weierstrass Projective e q r -> Natural

def :: Point Weierstrass Projective e q r -> Bool

disc :: Point Weierstrass Projective e q r -> q

order :: Point Weierstrass Projective e q r -> Natural

add :: Point Weierstrass Projective e q r -> Point Weierstrass Projective e q r -> Point Weierstrass Projective e q r

dbl :: Point Weierstrass Projective e q r -> Point Weierstrass Projective e q r

id :: Point Weierstrass Projective e q r

inv :: Point Weierstrass Projective e q r -> Point Weierstrass Projective e q r

frob :: Point Weierstrass Projective e q r -> Point Weierstrass Projective e q r

fromA :: Point Weierstrass Affine e q r -> Point Weierstrass Projective e q r

gen :: Point Weierstrass Projective e q r

point :: q -> q -> Maybe (Point Weierstrass Projective e q r)

pointX :: q -> Maybe (Point Weierstrass Projective e q r)

rnd :: MonadRandom m => m (Point Weierstrass Projective e q r)

toA :: Point Weierstrass Projective e q r -> Point Weierstrass Affine e q r

yX :: Point Weierstrass Projective e q r -> q -> Maybe q

WPCurve e q r => Eq (WPPoint e q r)

Methods

(==) :: WPPoint e q r -> WPPoint e q r -> Bool

(/=) :: WPPoint e q r -> WPPoint e q r -> Bool

WJCurve e q r => Eq (WJPoint e q r)

Methods

(==) :: WJPoint e q r -> WJPoint e q r -> Bool

(/=) :: WJPoint e q r -> WJPoint e q r -> Bool

WPCurve e q r => Pretty (WPPoint e q r)

Methods

pretty :: WPPoint e q r -> Doc

prettyList :: [WPPoint e q r] -> Doc

WJCurve e q r => Pretty (WJPoint e q r)

Methods

pretty :: WJPoint e q r -> Doc

prettyList :: [WJPoint e q r] -> Doc

WACurve e q r => Pretty (WAPoint e q r)

Methods

pretty :: WAPoint e q r -> Doc

prettyList :: [WAPoint e q r] -> Doc

Eq q => Eq (Point Weierstrass Affine e q r)

Methods

(==) :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r -> Bool

(/=) :: Point Weierstrass Affine e q r -> Point Weierstrass Affine e q r -> Bool

Read q => Read (Point Weierstrass Affine e q r)

Methods

readsPrec :: Int -> ReadS (Point Weierstrass Affine e q r)

readList :: ReadS [Point Weierstrass Affine e q r]

readPrec :: ReadPrec (Point Weierstrass Affine e q r)

readListPrec :: ReadPrec [Point Weierstrass Affine e q r]

Read q => Read (Point Weierstrass Jacobian e q r)

Methods

readsPrec :: Int -> ReadS (Point Weierstrass Jacobian e q r)

readList :: ReadS [Point Weierstrass Jacobian e q r]

readPrec :: ReadPrec (Point Weierstrass Jacobian e q r)

readListPrec :: ReadPrec [Point Weierstrass Jacobian e q r]

Read q => Read (Point Weierstrass Projective e q r)

Methods

readsPrec :: Int -> ReadS (Point Weierstrass Projective e q r)

readList :: ReadS [Point Weierstrass Projective e q r]

readPrec :: ReadPrec (Point Weierstrass Projective e q r)

readListPrec :: ReadPrec [Point Weierstrass Projective e q r]

Show q => Show (Point Weierstrass Affine e q r)

Methods

showsPrec :: Int -> Point Weierstrass Affine e q r -> ShowS

show :: Point Weierstrass Affine e q r -> String

showList :: [Point Weierstrass Affine e q r] -> ShowS

Show q => Show (Point Weierstrass Jacobian e q r)

Methods

showsPrec :: Int -> Point Weierstrass Jacobian e q r -> ShowS

show :: Point Weierstrass Jacobian e q r -> String

showList :: [Point Weierstrass Jacobian e q r] -> ShowS

Show q => Show (Point Weierstrass Projective e q r)

Methods

showsPrec :: Int -> Point Weierstrass Projective e q r -> ShowS

show :: Point Weierstrass Projective e q r -> String

showList :: [Point Weierstrass Projective e q r] -> ShowS

Generic (Point Weierstrass Affine e q r)

Associated Types

type Rep (Point Weierstrass Affine e q r) :: Type -> Type

Methods

from :: Point Weierstrass Affine e q r -> Rep (Point Weierstrass Affine e q r) x

to :: Rep (Point Weierstrass Affine e q r) x -> Point Weierstrass Affine e q r

Generic (Point Weierstrass Jacobian e q r)

Associated Types

type Rep (Point Weierstrass Jacobian e q r) :: Type -> Type

Methods

from :: Point Weierstrass Jacobian e q r -> Rep (Point Weierstrass Jacobian e q r) x

to :: Rep (Point Weierstrass Jacobian e q r) x -> Point Weierstrass Jacobian e q r

Generic (Point Weierstrass Projective e q r)

Associated Types

type Rep (Point Weierstrass Projective e q r) :: Type -> Type

Methods

from :: Point Weierstrass Projective e q r -> Rep (Point Weierstrass Projective e q r) x

to :: Rep (Point Weierstrass Projective e q r) x -> Point Weierstrass Projective e q r

NFData q => NFData (Point Weierstrass Affine e q r)

Methods

rnf :: Point Weierstrass Affine e q r -> ()

NFData q => NFData (Point Weierstrass Jacobian e q r)

Methods

rnf :: Point Weierstrass Jacobian e q r -> ()

NFData q => NFData (Point Weierstrass Projective e q r)

Methods

rnf :: Point Weierstrass Projective e q r -> ()