import BN from 'bn.js';
import ECSignature from './ecsignature';
import { type ECPoint } from './curve';
export declare function sign(hash: Buffer, d: BN, nonce?: number): ECSignature;
export declare function verify(signature: ECSignature, hash: Buffer, Q: ECPoint): boolean;
/**
 * Recover a public key from a signature.
 *
 * See SEC 1: Elliptic Curve Cryptography, section 4.1.6, "Public
 * Key Recovery Operation".
 *
 * http://www.secg.org/download/aid-780/sec1-v2.pdf
 */
export declare function recoverPubKey(e: BN, signature: ECSignature, i: number): ECPoint;
/**
 * Calculate pubkey extraction parameter.
 *
 * When extracting a pubkey from a signature, we have to
 * distinguish four different cases. Rather than putting this
 * burden on the verifier, Bitcoin includes a 2-bit value with the
 * signature.
 *
 * This function simply tries all four cases and returns the value
 * that resulted in a successful pubkey recovery.
 */
export declare function calcPubKeyRecoveryParam(e: BN, signature: ECSignature, Q: ECPoint): number;