fields_bls12377

package
v0.0.0-...-ae8e47d Latest Latest
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 Go to latest Published: Mar 25, 2023 License: Apache-2.0 Imports: 5 Imported by: 0

Documentation

Index

Constants

This section is empty.

Variables

View Source 
var DivE12Hint = func(_ *big.Int, inputs []*big.Int, res []*big.Int) error {
	var a, b, c bls12377.E12

	a.C0.B0.A0.SetBigInt(inputs[0])
	a.C0.B0.A1.SetBigInt(inputs[1])
	a.C0.B1.A0.SetBigInt(inputs[2])
	a.C0.B1.A1.SetBigInt(inputs[3])
	a.C0.B2.A0.SetBigInt(inputs[4])
	a.C0.B2.A1.SetBigInt(inputs[5])
	a.C1.B0.A0.SetBigInt(inputs[6])
	a.C1.B0.A1.SetBigInt(inputs[7])
	a.C1.B1.A0.SetBigInt(inputs[8])
	a.C1.B1.A1.SetBigInt(inputs[9])
	a.C1.B2.A0.SetBigInt(inputs[10])
	a.C1.B2.A1.SetBigInt(inputs[11])

	b.C0.B0.A0.SetBigInt(inputs[12])
	b.C0.B0.A1.SetBigInt(inputs[13])
	b.C0.B1.A0.SetBigInt(inputs[14])
	b.C0.B1.A1.SetBigInt(inputs[15])
	b.C0.B2.A0.SetBigInt(inputs[16])
	b.C0.B2.A1.SetBigInt(inputs[17])
	b.C1.B0.A0.SetBigInt(inputs[18])
	b.C1.B0.A1.SetBigInt(inputs[19])
	b.C1.B1.A0.SetBigInt(inputs[20])
	b.C1.B1.A1.SetBigInt(inputs[21])
	b.C1.B2.A0.SetBigInt(inputs[22])
	b.C1.B2.A1.SetBigInt(inputs[23])

	c.Inverse(&b).Mul(&c, &a)

	c.C0.B0.A0.BigInt(res[0])
	c.C0.B0.A1.BigInt(res[1])
	c.C0.B1.A0.BigInt(res[2])
	c.C0.B1.A1.BigInt(res[3])
	c.C0.B2.A0.BigInt(res[4])
	c.C0.B2.A1.BigInt(res[5])
	c.C1.B0.A0.BigInt(res[6])
	c.C1.B0.A1.BigInt(res[7])
	c.C1.B1.A0.BigInt(res[8])
	c.C1.B1.A1.BigInt(res[9])
	c.C1.B2.A0.BigInt(res[10])
	c.C1.B2.A1.BigInt(res[11])

	return nil
}
View Source 
var DivE2Hint = func(_ *big.Int, inputs []*big.Int, res []*big.Int) error {
	var a, b, c bls12377.E2

	a.A0.SetBigInt(inputs[0])
	a.A1.SetBigInt(inputs[1])
	b.A0.SetBigInt(inputs[2])
	b.A1.SetBigInt(inputs[3])

	c.Inverse(&b).Mul(&c, &a)

	c.A0.BigInt(res[0])
	c.A1.BigInt(res[1])

	return nil
}
View Source 
var DivE6Hint = func(_ *big.Int, inputs []*big.Int, res []*big.Int) error {
	var a, b, c bls12377.E6

	a.B0.A0.SetBigInt(inputs[0])
	a.B0.A1.SetBigInt(inputs[1])
	a.B1.A0.SetBigInt(inputs[2])
	a.B1.A1.SetBigInt(inputs[3])
	a.B2.A0.SetBigInt(inputs[4])
	a.B2.A1.SetBigInt(inputs[5])

	b.B0.A0.SetBigInt(inputs[6])
	b.B0.A1.SetBigInt(inputs[7])
	b.B1.A0.SetBigInt(inputs[8])
	b.B1.A1.SetBigInt(inputs[9])
	b.B2.A0.SetBigInt(inputs[10])
	b.B2.A1.SetBigInt(inputs[11])

	c.Inverse(&b).Mul(&c, &a)

	c.B0.A0.BigInt(res[0])
	c.B0.A1.BigInt(res[1])
	c.B1.A0.BigInt(res[2])
	c.B1.A1.BigInt(res[3])
	c.B2.A0.BigInt(res[4])
	c.B2.A1.BigInt(res[5])

	return nil
}
View Source 
var InverseE12Hint = func(_ *big.Int, inputs []*big.Int, res []*big.Int) error {
	var a, c bls12377.E12

	a.C0.B0.A0.SetBigInt(inputs[0])
	a.C0.B0.A1.SetBigInt(inputs[1])
	a.C0.B1.A0.SetBigInt(inputs[2])
	a.C0.B1.A1.SetBigInt(inputs[3])
	a.C0.B2.A0.SetBigInt(inputs[4])
	a.C0.B2.A1.SetBigInt(inputs[5])
	a.C1.B0.A0.SetBigInt(inputs[6])
	a.C1.B0.A1.SetBigInt(inputs[7])
	a.C1.B1.A0.SetBigInt(inputs[8])
	a.C1.B1.A1.SetBigInt(inputs[9])
	a.C1.B2.A0.SetBigInt(inputs[10])
	a.C1.B2.A1.SetBigInt(inputs[11])

	c.Inverse(&a)

	c.C0.B0.A0.BigInt(res[0])
	c.C0.B0.A1.BigInt(res[1])
	c.C0.B1.A0.BigInt(res[2])
	c.C0.B1.A1.BigInt(res[3])
	c.C0.B2.A0.BigInt(res[4])
	c.C0.B2.A1.BigInt(res[5])
	c.C1.B0.A0.BigInt(res[6])
	c.C1.B0.A1.BigInt(res[7])
	c.C1.B1.A0.BigInt(res[8])
	c.C1.B1.A1.BigInt(res[9])
	c.C1.B2.A0.BigInt(res[10])
	c.C1.B2.A1.BigInt(res[11])

	return nil
}
View Source 
var InverseE2Hint = func(_ *big.Int, inputs []*big.Int, res []*big.Int) error {
	var a, c bls12377.E2

	a.A0.SetBigInt(inputs[0])
	a.A1.SetBigInt(inputs[1])

	c.Inverse(&a)

	c.A0.BigInt(res[0])
	c.A1.BigInt(res[1])

	return nil
}
View Source 
var InverseE6Hint = func(_ *big.Int, inputs []*big.Int, res []*big.Int) error {
	var a, c bls12377.E6

	a.B0.A0.SetBigInt(inputs[0])
	a.B0.A1.SetBigInt(inputs[1])
	a.B1.A0.SetBigInt(inputs[2])
	a.B1.A1.SetBigInt(inputs[3])
	a.B2.A0.SetBigInt(inputs[4])
	a.B2.A1.SetBigInt(inputs[5])

	c.Inverse(&a)

	c.B0.A0.BigInt(res[0])
	c.B0.A1.BigInt(res[1])
	c.B1.A0.BigInt(res[2])
	c.B1.A1.BigInt(res[3])
	c.B2.A0.BigInt(res[4])
	c.B2.A1.BigInt(res[5])

	return nil
}

Functions

This section is empty.

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) AssertIsEqual 

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

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

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) CyclotomicSquare 

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

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

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

Decompress Karabina's cyclotomic square result

func (*E12) DivUnchecked 

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

DivUnchecked e12 elmts

func (*E12) Expt 

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

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

Frobenius applies frob to an fp12 elmt

func (*E12) FrobeniusCube 

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

FrobeniusCube applies frob**2 to an fp12 elmt

func (*E12) FrobeniusSquare 

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

FrobeniusSquare applies frob**2 to an fp12 elmt

func (*E12) Inverse 

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

Inverse e12 elmts

func (*E12) Mul 

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

Mul multiplies 2 elmts in Fp12

func (*E12) Mul034By034 

func (e *E12) Mul034By034(api frontend.API, d3, d4, c3, c4 E2) *E12

Mul034By034 multiplication of sparse element (1,0,0,c3,c4,0) by sparse element (1,0,0,d3,d4,0)

func (*E12) MulBy034 

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

MulBy034 multiplication by sparse element

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() *E12

SetOne returns a newly allocated element equal to 1

func (*E12) SetZero 

func (e *E12) SetZero() *E12

SetZero returns a newly allocated element equal to 0

func (*E12) Square 

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

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

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

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) DivUnchecked 

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

DivUnchecked e2 elmts

func (*E2) Double 

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) *E2

Inverse e2 elmts

func (*E2) Mul 

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

Mul e2 elmts

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) MulByNonResidue 

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

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

func (*E2) Neg 

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

Neg negates a e2 elmt

func (*E2) Select 

func (e *E2) Select(api frontend.API, b frontend.Variable, r1, r2 E2) *E2

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

func (*E2) SetOne 

func (e *E2) SetOne() *E2

SetOne returns a newly allocated element equal to 1

func (*E2) SetZero 

func (e *E2) SetZero() *E2

SetZero returns a newly allocated element equal to 0

func (*E2) Square 

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

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

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

func (*E6) Assign 

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

Assign a value to self (witness assignment)

func (*E6) DivUnchecked 

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

DivUnchecked e6 elmts

func (*E6) Inverse 

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

Inverse e6 elmts

func (*E6) Mul 

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

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

func (*E6) MulBy01 

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

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

func (*E6) MulByE2 

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

MulByNonResidue multiplies e by the imaginary elmt of Fp6 (noted a+bV+cV where V**3 in F²)

func (*E6) Neg 

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

Neg negates an Fp6 elmt

func (*E6) SetOne 

func (e *E6) SetOne() *E6

SetOne returns a newly allocated element equal to 1

func (*E6) SetZero 

func (e *E6) SetZero() *E6

SetZero returns a newly allocated element equal to 0

func (*E6) Square 

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

Source Files

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