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- /*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
- import { AffinePoint } from './curve.js';
- import { IField } from './modular.js';
- import { Hex, PrivKey, CHash } from './utils.js';
- import { MapToCurve, Opts as HTFOpts, htfBasicOpts, createHasher } from './hash-to-curve.js';
- import { CurvePointsType, ProjPointType as ProjPointType, CurvePointsRes } from './weierstrass.js';
- /**
- * BLS (Barreto-Lynn-Scott) family of pairing-friendly curves.
- * Implements BLS (Boneh-Lynn-Shacham) signatures.
- * Consists of two curves: G1 and G2:
- * - G1 is a subgroup of (x, y) E(Fq) over y² = x³ + 4.
- * - G2 is a subgroup of ((x₁, x₂+i), (y₁, y₂+i)) E(Fq²) over y² = x³ + 4(1 + i) where i is √-1
- * - Gt, created by bilinear (ate) pairing e(G1, G2), consists of p-th roots of unity in
- * Fq^k where k is embedding degree. Only degree 12 is currently supported, 24 is not.
- * Pairing is used to aggregate and verify signatures.
- * We are using Fp for private keys (shorter) and Fp₂ for signatures (longer).
- * Some projects may prefer to swap this relation, it is not supported for now.
- **/
- type Fp = bigint;
- export type ShortSignatureCoder<Fp> = {
- fromHex(hex: Hex): ProjPointType<Fp>;
- toRawBytes(point: ProjPointType<Fp>): Uint8Array;
- toHex(point: ProjPointType<Fp>): string;
- };
- export type SignatureCoder<Fp2> = {
- fromHex(hex: Hex): ProjPointType<Fp2>;
- toRawBytes(point: ProjPointType<Fp2>): Uint8Array;
- toHex(point: ProjPointType<Fp2>): string;
- };
- type Fp2Bls<Fp, Fp2> = IField<Fp2> & {
- reim: (num: Fp2) => {
- re: Fp;
- im: Fp;
- };
- multiplyByB: (num: Fp2) => Fp2;
- frobeniusMap(num: Fp2, power: number): Fp2;
- };
- type Fp12Bls<Fp2, Fp12> = IField<Fp12> & {
- frobeniusMap(num: Fp12, power: number): Fp12;
- multiplyBy014(num: Fp12, o0: Fp2, o1: Fp2, o4: Fp2): Fp12;
- conjugate(num: Fp12): Fp12;
- finalExponentiate(num: Fp12): Fp12;
- };
- export type CurveType<Fp, Fp2, Fp6, Fp12> = {
- G1: Omit<CurvePointsType<Fp>, 'n'> & {
- ShortSignature: SignatureCoder<Fp>;
- mapToCurve: MapToCurve<Fp>;
- htfDefaults: HTFOpts;
- };
- G2: Omit<CurvePointsType<Fp2>, 'n'> & {
- Signature: SignatureCoder<Fp2>;
- mapToCurve: MapToCurve<Fp2>;
- htfDefaults: HTFOpts;
- };
- fields: {
- Fp: IField<Fp>;
- Fr: IField<bigint>;
- Fp2: Fp2Bls<Fp, Fp2>;
- Fp6: IField<Fp6>;
- Fp12: Fp12Bls<Fp2, Fp12>;
- };
- params: {
- x: bigint;
- r: bigint;
- };
- htfDefaults: HTFOpts;
- hash: CHash;
- randomBytes: (bytesLength?: number) => Uint8Array;
- };
- export type CurveFn<Fp, Fp2, Fp6, Fp12> = {
- getPublicKey: (privateKey: PrivKey) => Uint8Array;
- getPublicKeyForShortSignatures: (privateKey: PrivKey) => Uint8Array;
- sign: {
- (message: Hex, privateKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
- (message: ProjPointType<Fp2>, privateKey: PrivKey, htfOpts?: htfBasicOpts): ProjPointType<Fp2>;
- };
- signShortSignature: {
- (message: Hex, privateKey: PrivKey, htfOpts?: htfBasicOpts): Uint8Array;
- (message: ProjPointType<Fp>, privateKey: PrivKey, htfOpts?: htfBasicOpts): ProjPointType<Fp>;
- };
- verify: (signature: Hex | ProjPointType<Fp2>, message: Hex | ProjPointType<Fp2>, publicKey: Hex | ProjPointType<Fp>, htfOpts?: htfBasicOpts) => boolean;
- verifyShortSignature: (signature: Hex | ProjPointType<Fp>, message: Hex | ProjPointType<Fp>, publicKey: Hex | ProjPointType<Fp2>, htfOpts?: htfBasicOpts) => boolean;
- verifyBatch: (signature: Hex | ProjPointType<Fp2>, messages: (Hex | ProjPointType<Fp2>)[], publicKeys: (Hex | ProjPointType<Fp>)[], htfOpts?: htfBasicOpts) => boolean;
- aggregatePublicKeys: {
- (publicKeys: Hex[]): Uint8Array;
- (publicKeys: ProjPointType<Fp>[]): ProjPointType<Fp>;
- };
- aggregateSignatures: {
- (signatures: Hex[]): Uint8Array;
- (signatures: ProjPointType<Fp2>[]): ProjPointType<Fp2>;
- };
- aggregateShortSignatures: {
- (signatures: Hex[]): Uint8Array;
- (signatures: ProjPointType<Fp>[]): ProjPointType<Fp>;
- };
- millerLoop: (ell: [Fp2, Fp2, Fp2][], g1: [Fp, Fp]) => Fp12;
- pairing: (P: ProjPointType<Fp>, Q: ProjPointType<Fp2>, withFinalExponent?: boolean) => Fp12;
- G1: CurvePointsRes<Fp> & ReturnType<typeof createHasher<Fp>>;
- G2: CurvePointsRes<Fp2> & ReturnType<typeof createHasher<Fp2>>;
- Signature: SignatureCoder<Fp2>;
- ShortSignature: ShortSignatureCoder<Fp>;
- params: {
- x: bigint;
- r: bigint;
- G1b: bigint;
- G2b: Fp2;
- };
- fields: {
- Fp: IField<Fp>;
- Fp2: Fp2Bls<Fp, Fp2>;
- Fp6: IField<Fp6>;
- Fp12: Fp12Bls<Fp2, Fp12>;
- Fr: IField<bigint>;
- };
- utils: {
- randomPrivateKey: () => Uint8Array;
- calcPairingPrecomputes: (p: AffinePoint<Fp2>) => [Fp2, Fp2, Fp2][];
- };
- };
- export declare function bls<Fp2, Fp6, Fp12>(CURVE: CurveType<Fp, Fp2, Fp6, Fp12>): CurveFn<Fp, Fp2, Fp6, Fp12>;
- export {};
- //# sourceMappingURL=bls.d.ts.map
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