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Текущая директория: /usr/lib/node_modules/bitgo/node_modules/@near-js/crypto/node_modules/@noble/curves/abstract
Просмотр файла: tower.d.ts
/**
* Towered extension fields.
* Rather than implementing a massive 12th-degree extension directly, it is more efficient
* to build it up from smaller extensions: a tower of extensions.
*
* For BLS12-381, the Fp12 field is implemented as a quadratic (degree two) extension,
* on top of a cubic (degree three) extension, on top of a quadratic extension of Fp.
*
* For more info: "Pairings for beginners" by Costello, section 7.3.
* @module
*/
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
import * as mod from './modular.js';
import type { ProjConstructor, ProjPointType } from './weierstrass.js';
export type BigintTuple = [bigint, bigint];
export type Fp = bigint;
export type Fp2 = {
c0: bigint;
c1: bigint;
};
export type BigintSix = [bigint, bigint, bigint, bigint, bigint, bigint];
export type Fp6 = {
c0: Fp2;
c1: Fp2;
c2: Fp2;
};
export type Fp12 = {
c0: Fp6;
c1: Fp6;
};
export type BigintTwelve = [
bigint,
bigint,
bigint,
bigint,
bigint,
bigint,
bigint,
bigint,
bigint,
bigint,
bigint,
bigint
];
export type Fp2Bls = mod.IField<Fp2> & {
reim: (num: Fp2) => {
re: Fp;
im: Fp;
};
mulByB: (num: Fp2) => Fp2;
frobeniusMap(num: Fp2, power: number): Fp2;
fromBigTuple(num: [bigint, bigint]): Fp2;
};
export type Fp12Bls = mod.IField<Fp12> & {
frobeniusMap(num: Fp12, power: number): Fp12;
mul014(num: Fp12, o0: Fp2, o1: Fp2, o4: Fp2): Fp12;
mul034(num: Fp12, o0: Fp2, o3: Fp2, o4: Fp2): Fp12;
conjugate(num: Fp12): Fp12;
finalExponentiate(num: Fp12): Fp12;
fromBigTwelve(num: BigintTwelve): Fp12;
};
export declare function psiFrobenius(Fp: mod.IField<Fp>, Fp2: Fp2Bls, base: Fp2): {
psi: (x: Fp2, y: Fp2) => [Fp2, Fp2];
psi2: (x: Fp2, y: Fp2) => [Fp2, Fp2];
G2psi: (c: ProjConstructor<Fp2>, P: ProjPointType<Fp2>) => ProjPointType<Fp2>;
G2psi2: (c: ProjConstructor<Fp2>, P: ProjPointType<Fp2>) => ProjPointType<Fp2>;
PSI_X: Fp2;
PSI_Y: Fp2;
PSI2_X: Fp2;
PSI2_Y: Fp2;
};
export type Tower12Opts = {
ORDER: bigint;
NONRESIDUE?: Fp;
FP2_NONRESIDUE: BigintTuple;
Fp2sqrt?: (num: Fp2) => Fp2;
Fp2mulByB: (num: Fp2) => Fp2;
Fp12cyclotomicSquare: (num: Fp12) => Fp12;
Fp12cyclotomicExp: (num: Fp12, n: bigint) => Fp12;
Fp12finalExponentiate: (num: Fp12) => Fp12;
};
export declare function tower12(opts: Tower12Opts): {
Fp: Readonly<mod.IField<bigint> & Required<Pick<mod.IField<bigint>, 'isOdd'>>>;
Fp2: mod.IField<Fp2> & {
NONRESIDUE: Fp2;
fromBigTuple: (tuple: BigintTuple | bigint[]) => Fp2;
reim: (num: Fp2) => {
re: bigint;
im: bigint;
};
mulByNonresidue: (num: Fp2) => Fp2;
mulByB: (num: Fp2) => Fp2;
frobeniusMap(num: Fp2, power: number): Fp2;
};
Fp6: mod.IField<Fp6> & {
fromBigSix: (tuple: BigintSix) => Fp6;
mulByNonresidue: (num: Fp6) => Fp6;
frobeniusMap(num: Fp6, power: number): Fp6;
mul1(num: Fp6, b1: Fp2): Fp6;
mul01(num: Fp6, b0: Fp2, b1: Fp2): Fp6;
mulByFp2(lhs: Fp6, rhs: Fp2): Fp6;
};
Fp4Square: (a: Fp2, b: Fp2) => {
first: Fp2;
second: Fp2;
};
Fp12: mod.IField<Fp12> & {
fromBigTwelve: (t: BigintTwelve) => Fp12;
frobeniusMap(num: Fp12, power: number): Fp12;
mul014(num: Fp12, o0: Fp2, o1: Fp2, o4: Fp2): Fp12;
mul034(num: Fp12, o0: Fp2, o3: Fp2, o4: Fp2): Fp12;
mulByFp2(lhs: Fp12, rhs: Fp2): Fp12;
conjugate(num: Fp12): Fp12;
finalExponentiate(num: Fp12): Fp12;
_cyclotomicSquare(num: Fp12): Fp12;
_cyclotomicExp(num: Fp12, n: bigint): Fp12;
};
};
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