fields

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 Go to latest Published: Nov 3, 2021 License: Apache-2.0 Imports: 4 Imported by: 0

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Constants

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Variables

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Functions

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Types

type E12 

type E12 struct {
	C0, C1 E6
}

E12 element in a quadratic extension

func (*E12) Add 

func (e *E12) Add(api frontend.API, e1, e2 E12) *E12

Add adds 2 elmts in Fp12

func (*E12) Assign 

func (e *E12) Assign(a *bls12377.E12)

Assign a value to self (witness assignment)

func (*E12) Conjugate 

func (e *E12) Conjugate(api frontend.API, e1 E12) *E12

Conjugate applies Frob**6 (conjugation over Fp6)

func (*E12) ConjugateFp12 

func (e *E12) ConjugateFp12(api frontend.API, e1 E12) *E12

ConjugateFp12 conjugates an Fp12 elmt (applies Frob**6)

func (*E12) CyclotomicSquare added in v0.5.0 

func (e *E12) CyclotomicSquare(api frontend.API, x E12, ext Extension) *E12

Granger-Scott's cyclotomic square squares a Fp12 elt in the cyclotomic group https://eprint.iacr.org/2009/565.pdf, 3.2

func (*E12) CyclotomicSquareCompressed added in v0.5.2 

func (e *E12) CyclotomicSquareCompressed(api frontend.API, x E12, ext Extension) *E12

Karabina's compressed cyclotomic square https://eprint.iacr.org/2010/542.pdf Th. 3.2 with minor modifications to fit our tower

func (*E12) Decompress added in v0.5.2 

func (e *E12) Decompress(api frontend.API, x E12, ext Extension) *E12

Decompress Karabina's cyclotomic square result

func (*E12) Expt added in v0.5.2 

func (e *E12) Expt(api frontend.API, e1 E12, exponent uint64, ext Extension) *E12

Expt compute e1**exponent, where the exponent is hardcoded This function is only used for the final expo of the pairing for bls12377, so the exponent is supposed to be hardcoded and on 64 bits.

func (*E12) FinalExponentiation added in v0.4.0 

func (e *E12) FinalExponentiation(api frontend.API, e1 E12, genT uint64, ext Extension) *E12

FinalExponentiation computes the final expo x**(p**6-1)(p**2+1)(p**4 - p**2 +1)/r

func (*E12) Frobenius 

func (e *E12) Frobenius(api frontend.API, e1 E12, ext Extension) *E12

Frobenius applies frob to an fp12 elmt

func (*E12) FrobeniusCube 

func (e *E12) FrobeniusCube(api frontend.API, e1 E12, ext Extension) *E12

FrobeniusCube applies frob**2 to an fp12 elmt

func (*E12) FrobeniusSquare 

func (e *E12) FrobeniusSquare(api frontend.API, e1 E12, ext Extension) *E12

FrobeniusSquare applies frob**2 to an fp12 elmt

func (*E12) Inverse 

func (e *E12) Inverse(api frontend.API, e1 E12, ext Extension) *E12

Inverse inverse an elmt in Fp12

func (*E12) Mul 

func (e *E12) Mul(api frontend.API, e1, e2 E12, ext Extension) *E12

Mul multiplies 2 elmts in Fp12

func (*E12) MulBy034 added in v0.4.0 

func (e *E12) MulBy034(api frontend.API, c0, c3, c4 E2, ext Extension) *E12

MulBy034 multiplication by sparse element

func (*E12) MustBeEqual 

func (e *E12) MustBeEqual(api frontend.API, other E12)

MustBeEqual constraint self to be equal to other into the given constraint system

func (*E12) Neg 

func (e *E12) Neg(api frontend.API, e1 E12) *E12

Neg negates an Fp6elmt

func (*E12) Select 

func (e *E12) Select(api frontend.API, b frontend.Variable, r1, r2 E12) *E12

Select sets e to r1 if b=1, r2 otherwise

func (*E12) SetOne 

func (e *E12) SetOne(api frontend.API) *E12

SetOne returns a newly allocated element equal to 1

func (*E12) Square added in v0.5.0 

func (e *E12) Square(api frontend.API, x E12, ext Extension) *E12

Square squares an element in Fp12

func (*E12) Sub 

func (e *E12) Sub(api frontend.API, e1, e2 E12) *E12

Sub substracts 2 elmts in Fp12

type E2 

type E2 struct {
	A0, A1 frontend.Variable
}

E2 element in a quadratic extension

func (*E2) Add 

func (e *E2) Add(api frontend.API, e1, e2 E2) *E2

Add e2 elmts

func (*E2) Assign 

func (e *E2) Assign(a *bls12377.E2)

Assign a value to self (witness assignment)

func (*E2) Conjugate 

func (e *E2) Conjugate(api frontend.API, e1 E2) *E2

Conjugate conjugation of an e2 elmt

func (*E2) Double added in v0.5.2 

func (e *E2) Double(api frontend.API, e1 E2) *E2

Double e2 elmt

func (*E2) Inverse 

func (e *E2) Inverse(api frontend.API, e1 E2, ext Extension) *E2

Inverse inverses an fp2elmt

func (*E2) Mul 

func (e *E2) Mul(api frontend.API, e1, e2 E2, ext Extension) *E2

Mul e2 elmts: 5C

func (*E2) MulByFp 

func (e *E2) MulByFp(api frontend.API, e1 E2, c interface{}) *E2

MulByFp multiplies an fp2 elmt by an fp elmt

func (*E2) MulByIm 

func (e *E2) MulByIm(api frontend.API, e1 E2, ext Extension) *E2

MulByIm multiplies an fp2 elmt by the imaginary elmt ext.uSquare is the square of the imaginary root

func (*E2) MustBeEqual 

func (e *E2) MustBeEqual(api frontend.API, other E2)

MustBeEqual constraint self to be equal to other into the given constraint system

func (*E2) Neg 

func (e *E2) Neg(api frontend.API, e1 E2) *E2

Neg negates a e2 elmt

func (*E2) SetOne added in v0.5.2 

func (e *E2) SetOne(api frontend.API) *E2

SetOne returns a newly allocated element equal to 1

func (*E2) Square added in v0.5.0 

func (e *E2) Square(api frontend.API, x E2, ext Extension) *E2

Square e2 elt

func (*E2) Sub 

func (e *E2) Sub(api frontend.API, e1, e2 E2) *E2

Sub e2 elmts

type E6 

type E6 struct {
	B0, B1, B2 E2
}

E6 element in a quadratic extension

func NewFp6Zero 

func NewFp6Zero(api frontend.API) *E6

NewFp6Zero creates a new

func (*E6) Add 

func (e *E6) Add(api frontend.API, e1, e2 E6) *E6

Add creates a fp6elmt from fp elmts

func (*E6) Assign 

func (e *E6) Assign(a *bls12377.E6)

Assign a value to self (witness assignment)

func (*E6) Inverse 

func (e *E6) Inverse(api frontend.API, e1 E6, ext Extension) *E6

Inverse inverses an Fp6 elmt

func (*E6) Mul 

func (e *E6) Mul(api frontend.API, e1, e2 E6, ext Extension) *E6

Mul creates a fp6elmt from fp elmts icube is the imaginary elmt to the cube

func (*E6) MulBy01 added in v0.5.2 

func (e *E6) MulBy01(api frontend.API, c0, c1 E2, ext Extension) *E6

MulBy01 multiplication by sparse element (c0,c1,0)

func (*E6) MulByE2 added in v0.5.2 

func (e *E6) MulByE2(api frontend.API, e1 E6, e2 E2, ext Extension) *E6

MulByE2 multiplies an element in E6 by an element in E2

func (*E6) MulByFp2 

func (e *E6) MulByFp2(api frontend.API, e1 E6, e2 E2, ext Extension) *E6

MulByFp2 creates a fp6elmt from fp elmts icube is the imaginary elmt to the cube

func (*E6) MulByNonResidue 

func (e *E6) MulByNonResidue(api frontend.API, e1 E6, ext Extension) *E6

MulByNonResidue multiplies e by the imaginary elmt of Fp6 (noted a+bV+cV where V**3 in F^2)

func (*E6) MustBeEqual 

func (e *E6) MustBeEqual(api frontend.API, other E6)

MustBeEqual constraint self to be equal to other into the given constraint system

func (*E6) Neg 

func (e *E6) Neg(api frontend.API, e1 E6) *E6

Neg negates an Fp6 elmt

func (*E6) Square added in v0.5.2 

func (e *E6) Square(api frontend.API, x E6, ext Extension) *E6

Square sets z to the E6 product of x,x, returns e

func (*E6) Sub 

func (e *E6) Sub(api frontend.API, e1, e2 E6) *E6

Sub creates a fp6elmt from fp elmts

type Extension 

type Extension struct {
	// contains filtered or unexported fields
}

Extension stores the non residue elmt for an extension of type Fp->Fp2->Fp6->Fp12 (Fp2 = Fp(u), Fp6 = Fp2(v), Fp12 = Fp6(w))

func GetBLS377ExtensionFp12 

func GetBLS377ExtensionFp12(api frontend.API) Extension

GetBLS377ExtensionFp12 get extension field parameters for bls12377

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