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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