(function (global, factory) {
    typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
    typeof define === 'function' && define.amd ? define(['exports'], factory) :
    (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.nobleSecp256k1 = {}));
})(this, (function (exports) { 'use strict';

    const _nodeResolve_empty = {};

    const nodeCrypto = /*#__PURE__*/Object.freeze({
        __proto__: null,
        'default': _nodeResolve_empty
    });

    /*! noble-secp256k1 - MIT License (c) 2019 Paul Miller (paulmillr.com) */
    const _0n = BigInt(0);
    const _1n = BigInt(1);
    const _2n = BigInt(2);
    const _3n = BigInt(3);
    const _8n = BigInt(8);
    const CURVE = Object.freeze({
        a: _0n,
        b: BigInt(7),
        P: BigInt('0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f'),
        n: BigInt('0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141'),
        h: _1n,
        Gx: BigInt('55066263022277343669578718895168534326250603453777594175500187360389116729240'),
        Gy: BigInt('32670510020758816978083085130507043184471273380659243275938904335757337482424'),
        beta: BigInt('0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee'),
    });
    function weistrass(x) {
        const { a, b } = CURVE;
        const x2 = mod(x * x);
        const x3 = mod(x2 * x);
        return mod(x3 + a * x + b);
    }
    const USE_ENDOMORPHISM = CURVE.a === _0n;
    class ShaError extends Error {
        constructor(message) {
            super(message);
        }
    }
    class JacobianPoint {
        constructor(x, y, z) {
            this.x = x;
            this.y = y;
            this.z = z;
        }
        static fromAffine(p) {
            if (!(p instanceof Point)) {
                throw new TypeError('JacobianPoint#fromAffine: expected Point');
            }
            return new JacobianPoint(p.x, p.y, _1n);
        }
        static toAffineBatch(points) {
            const toInv = invertBatch(points.map((p) => p.z));
            return points.map((p, i) => p.toAffine(toInv[i]));
        }
        static normalizeZ(points) {
            return JacobianPoint.toAffineBatch(points).map(JacobianPoint.fromAffine);
        }
        equals(other) {
            if (!(other instanceof JacobianPoint))
                throw new TypeError('JacobianPoint expected');
            const { x: X1, y: Y1, z: Z1 } = this;
            const { x: X2, y: Y2, z: Z2 } = other;
            const Z1Z1 = mod(Z1 * Z1);
            const Z2Z2 = mod(Z2 * Z2);
            const U1 = mod(X1 * Z2Z2);
            const U2 = mod(X2 * Z1Z1);
            const S1 = mod(mod(Y1 * Z2) * Z2Z2);
            const S2 = mod(mod(Y2 * Z1) * Z1Z1);
            return U1 === U2 && S1 === S2;
        }
        negate() {
            return new JacobianPoint(this.x, mod(-this.y), this.z);
        }
        double() {
            const { x: X1, y: Y1, z: Z1 } = this;
            const A = mod(X1 * X1);
            const B = mod(Y1 * Y1);
            const C = mod(B * B);
            const x1b = X1 + B;
            const D = mod(_2n * (mod(x1b * x1b) - A - C));
            const E = mod(_3n * A);
            const F = mod(E * E);
            const X3 = mod(F - _2n * D);
            const Y3 = mod(E * (D - X3) - _8n * C);
            const Z3 = mod(_2n * Y1 * Z1);
            return new JacobianPoint(X3, Y3, Z3);
        }
        add(other) {
            if (!(other instanceof JacobianPoint))
                throw new TypeError('JacobianPoint expected');
            const { x: X1, y: Y1, z: Z1 } = this;
            const { x: X2, y: Y2, z: Z2 } = other;
            if (X2 === _0n || Y2 === _0n)
                return this;
            if (X1 === _0n || Y1 === _0n)
                return other;
            const Z1Z1 = mod(Z1 * Z1);
            const Z2Z2 = mod(Z2 * Z2);
            const U1 = mod(X1 * Z2Z2);
            const U2 = mod(X2 * Z1Z1);
            const S1 = mod(mod(Y1 * Z2) * Z2Z2);
            const S2 = mod(mod(Y2 * Z1) * Z1Z1);
            const H = mod(U2 - U1);
            const r = mod(S2 - S1);
            if (H === _0n) {
                if (r === _0n) {
                    return this.double();
                }
                else {
                    return JacobianPoint.ZERO;
                }
            }
            const HH = mod(H * H);
            const HHH = mod(H * HH);
            const V = mod(U1 * HH);
            const X3 = mod(r * r - HHH - _2n * V);
            const Y3 = mod(r * (V - X3) - S1 * HHH);
            const Z3 = mod(Z1 * Z2 * H);
            return new JacobianPoint(X3, Y3, Z3);
        }
        subtract(other) {
            return this.add(other.negate());
        }
        multiplyUnsafe(scalar) {
            const P0 = JacobianPoint.ZERO;
            if (typeof scalar === 'bigint' && scalar === _0n)
                return P0;
            let n = normalizeScalar(scalar);
            if (n === _1n)
                return this;
            if (!USE_ENDOMORPHISM) {
                let p = P0;
                let d = this;
                while (n > _0n) {
                    if (n & _1n)
                        p = p.add(d);
                    d = d.double();
                    n >>= _1n;
                }
                return p;
            }
            let { k1neg, k1, k2neg, k2 } = splitScalarEndo(n);
            let k1p = P0;
            let k2p = P0;
            let d = this;
            while (k1 > _0n || k2 > _0n) {
                if (k1 & _1n)
                    k1p = k1p.add(d);
                if (k2 & _1n)
                    k2p = k2p.add(d);
                d = d.double();
                k1 >>= _1n;
                k2 >>= _1n;
            }
            if (k1neg)
                k1p = k1p.negate();
            if (k2neg)
                k2p = k2p.negate();
            k2p = new JacobianPoint(mod(k2p.x * CURVE.beta), k2p.y, k2p.z);
            return k1p.add(k2p);
        }
        precomputeWindow(W) {
            const windows = USE_ENDOMORPHISM ? 128 / W + 1 : 256 / W + 1;
            const points = [];
            let p = this;
            let base = p;
            for (let window = 0; window < windows; window++) {
                base = p;
                points.push(base);
                for (let i = 1; i < 2 ** (W - 1); i++) {
                    base = base.add(p);
                    points.push(base);
                }
                p = base.double();
            }
            return points;
        }
        wNAF(n, affinePoint) {
            if (!affinePoint && this.equals(JacobianPoint.BASE))
                affinePoint = Point.BASE;
            const W = (affinePoint && affinePoint._WINDOW_SIZE) || 1;
            if (256 % W) {
                throw new Error('Point#wNAF: Invalid precomputation window, must be power of 2');
            }
            let precomputes = affinePoint && pointPrecomputes.get(affinePoint);
            if (!precomputes) {
                precomputes = this.precomputeWindow(W);
                if (affinePoint && W !== 1) {
                    precomputes = JacobianPoint.normalizeZ(precomputes);
                    pointPrecomputes.set(affinePoint, precomputes);
                }
            }
            let p = JacobianPoint.ZERO;
            let f = JacobianPoint.ZERO;
            const windows = 1 + (USE_ENDOMORPHISM ? 128 / W : 256 / W);
            const windowSize = 2 ** (W - 1);
            const mask = BigInt(2 ** W - 1);
            const maxNumber = 2 ** W;
            const shiftBy = BigInt(W);
            for (let window = 0; window < windows; window++) {
                const offset = window * windowSize;
                let wbits = Number(n & mask);
                n >>= shiftBy;
                if (wbits > windowSize) {
                    wbits -= maxNumber;
                    n += _1n;
                }
                if (wbits === 0) {
                    let pr = precomputes[offset];
                    if (window % 2)
                        pr = pr.negate();
                    f = f.add(pr);
                }
                else {
                    let cached = precomputes[offset + Math.abs(wbits) - 1];
                    if (wbits < 0)
                        cached = cached.negate();
                    p = p.add(cached);
                }
            }
            return { p, f };
        }
        multiply(scalar, affinePoint) {
            let n = normalizeScalar(scalar);
            let point;
            let fake;
            if (USE_ENDOMORPHISM) {
                const { k1neg, k1, k2neg, k2 } = splitScalarEndo(n);
                let { p: k1p, f: f1p } = this.wNAF(k1, affinePoint);
                let { p: k2p, f: f2p } = this.wNAF(k2, affinePoint);
                if (k1neg)
                    k1p = k1p.negate();
                if (k2neg)
                    k2p = k2p.negate();
                k2p = new JacobianPoint(mod(k2p.x * CURVE.beta), k2p.y, k2p.z);
                point = k1p.add(k2p);
                fake = f1p.add(f2p);
            }
            else {
                const { p, f } = this.wNAF(n, affinePoint);
                point = p;
                fake = f;
            }
            return JacobianPoint.normalizeZ([point, fake])[0];
        }
        toAffine(invZ = invert(this.z)) {
            const { x, y, z } = this;
            const iz1 = invZ;
            const iz2 = mod(iz1 * iz1);
            const iz3 = mod(iz2 * iz1);
            const ax = mod(x * iz2);
            const ay = mod(y * iz3);
            const zz = mod(z * iz1);
            if (zz !== _1n)
                throw new Error('invZ was invalid');
            return new Point(ax, ay);
        }
    }
    JacobianPoint.BASE = new JacobianPoint(CURVE.Gx, CURVE.Gy, _1n);
    JacobianPoint.ZERO = new JacobianPoint(_0n, _1n, _0n);
    const pointPrecomputes = new WeakMap();
    class Point {
        constructor(x, y) {
            this.x = x;
            this.y = y;
        }
        _setWindowSize(windowSize) {
            this._WINDOW_SIZE = windowSize;
            pointPrecomputes.delete(this);
        }
        hasEvenY() {
            return this.y % _2n === _0n;
        }
        static fromCompressedHex(bytes) {
            const isShort = bytes.length === 32;
            const x = bytesToNumber(isShort ? bytes : bytes.subarray(1));
            if (!isValidFieldElement(x))
                throw new Error('Point is not on curve');
            const y2 = weistrass(x);
            let y = sqrtMod(y2);
            const isYOdd = (y & _1n) === _1n;
            if (isShort) {
                if (isYOdd)
                    y = mod(-y);
            }
            else {
                const isFirstByteOdd = (bytes[0] & 1) === 1;
                if (isFirstByteOdd !== isYOdd)
                    y = mod(-y);
            }
            const point = new Point(x, y);
            point.assertValidity();
            return point;
        }
        static fromUncompressedHex(bytes) {
            const x = bytesToNumber(bytes.subarray(1, 33));
            const y = bytesToNumber(bytes.subarray(33, 65));
            const point = new Point(x, y);
            point.assertValidity();
            return point;
        }
        static fromHex(hex) {
            const bytes = ensureBytes(hex);
            const len = bytes.length;
            const header = bytes[0];
            if (len === 32 || (len === 33 && (header === 0x02 || header === 0x03))) {
                return this.fromCompressedHex(bytes);
            }
            if (len === 65 && header === 0x04)
                return this.fromUncompressedHex(bytes);
            throw new Error(`Point.fromHex: received invalid point. Expected 32-33 compressed bytes or 65 uncompressed bytes, not ${len}`);
        }
        static fromPrivateKey(privateKey) {
            return Point.BASE.multiply(normalizePrivateKey(privateKey));
        }
        static fromSignature(msgHash, signature, recovery) {
            msgHash = ensureBytes(msgHash);
            const h = truncateHash(msgHash);
            const { r, s } = normalizeSignature(signature);
            if (recovery !== 0 && recovery !== 1) {
                throw new Error('Cannot recover signature: invalid recovery bit');
            }
            const prefix = recovery & 1 ? '03' : '02';
            const R = Point.fromHex(prefix + numTo32bStr(r));
            const { n } = CURVE;
            const rinv = invert(r, n);
            const u1 = mod(-h * rinv, n);
            const u2 = mod(s * rinv, n);
            const Q = Point.BASE.multiplyAndAddUnsafe(R, u1, u2);
            if (!Q)
                throw new Error('Cannot recover signature: point at infinify');
            Q.assertValidity();
            return Q;
        }
        toRawBytes(isCompressed = false) {
            return hexToBytes(this.toHex(isCompressed));
        }
        toHex(isCompressed = false) {
            const x = numTo32bStr(this.x);
            if (isCompressed) {
                const prefix = this.hasEvenY() ? '02' : '03';
                return `${prefix}${x}`;
            }
            else {
                return `04${x}${numTo32bStr(this.y)}`;
            }
        }
        toHexX() {
            return this.toHex(true).slice(2);
        }
        toRawX() {
            return this.toRawBytes(true).slice(1);
        }
        assertValidity() {
            const msg = 'Point is not on elliptic curve';
            const { x, y } = this;
            if (!isValidFieldElement(x) || !isValidFieldElement(y))
                throw new Error(msg);
            const left = mod(y * y);
            const right = weistrass(x);
            if (mod(left - right) !== _0n)
                throw new Error(msg);
        }
        equals(other) {
            return this.x === other.x && this.y === other.y;
        }
        negate() {
            return new Point(this.x, mod(-this.y));
        }
        double() {
            return JacobianPoint.fromAffine(this).double().toAffine();
        }
        add(other) {
            return JacobianPoint.fromAffine(this).add(JacobianPoint.fromAffine(other)).toAffine();
        }
        subtract(other) {
            return this.add(other.negate());
        }
        multiply(scalar) {
            return JacobianPoint.fromAffine(this).multiply(scalar, this).toAffine();
        }
        multiplyAndAddUnsafe(Q, a, b) {
            const P = JacobianPoint.fromAffine(this);
            const aP = a === _0n || a === _1n || this !== Point.BASE ? P.multiplyUnsafe(a) : P.multiply(a);
            const bQ = JacobianPoint.fromAffine(Q).multiplyUnsafe(b);
            const sum = aP.add(bQ);
            return sum.equals(JacobianPoint.ZERO) ? undefined : sum.toAffine();
        }
    }
    Point.BASE = new Point(CURVE.Gx, CURVE.Gy);
    Point.ZERO = new Point(_0n, _0n);
    function sliceDER(s) {
        return Number.parseInt(s[0], 16) >= 8 ? '00' + s : s;
    }
    function parseDERInt(data) {
        if (data.length < 2 || data[0] !== 0x02) {
            throw new Error(`Invalid signature integer tag: ${bytesToHex(data)}`);
        }
        const len = data[1];
        const res = data.subarray(2, len + 2);
        if (!len || res.length !== len) {
            throw new Error(`Invalid signature integer: wrong length`);
        }
        if (res[0] === 0x00 && res[1] <= 0x7f) {
            throw new Error('Invalid signature integer: trailing length');
        }
        return { data: bytesToNumber(res), left: data.subarray(len + 2) };
    }
    function parseDERSignature(data) {
        if (data.length < 2 || data[0] != 0x30) {
            throw new Error(`Invalid signature tag: ${bytesToHex(data)}`);
        }
        if (data[1] !== data.length - 2) {
            throw new Error('Invalid signature: incorrect length');
        }
        const { data: r, left: sBytes } = parseDERInt(data.subarray(2));
        const { data: s, left: rBytesLeft } = parseDERInt(sBytes);
        if (rBytesLeft.length) {
            throw new Error(`Invalid signature: left bytes after parsing: ${bytesToHex(rBytesLeft)}`);
        }
        return { r, s };
    }
    class Signature {
        constructor(r, s) {
            this.r = r;
            this.s = s;
            this.assertValidity();
        }
        static fromCompact(hex) {
            const arr = hex instanceof Uint8Array;
            const name = 'Signature.fromCompact';
            if (typeof hex !== 'string' && !arr)
                throw new TypeError(`${name}: Expected string or Uint8Array`);
            const str = arr ? bytesToHex(hex) : hex;
            if (str.length !== 128)
                throw new Error(`${name}: Expected 64-byte hex`);
            return new Signature(hexToNumber(str.slice(0, 64)), hexToNumber(str.slice(64, 128)));
        }
        static fromDER(hex) {
            const arr = hex instanceof Uint8Array;
            if (typeof hex !== 'string' && !arr)
                throw new TypeError(`Signature.fromDER: Expected string or Uint8Array`);
            const { r, s } = parseDERSignature(arr ? hex : hexToBytes(hex));
            return new Signature(r, s);
        }
        static fromHex(hex) {
            return this.fromDER(hex);
        }
        assertValidity() {
            const { r, s } = this;
            if (!isWithinCurveOrder(r))
                throw new Error('Invalid Signature: r must be 0 < r < n');
            if (!isWithinCurveOrder(s))
                throw new Error('Invalid Signature: s must be 0 < s < n');
        }
        hasHighS() {
            const HALF = CURVE.n >> _1n;
            return this.s > HALF;
        }
        normalizeS() {
            return this.hasHighS() ? new Signature(this.r, CURVE.n - this.s) : this;
        }
        toDERRawBytes(isCompressed = false) {
            return hexToBytes(this.toDERHex(isCompressed));
        }
        toDERHex(isCompressed = false) {
            const sHex = sliceDER(numberToHexUnpadded(this.s));
            if (isCompressed)
                return sHex;
            const rHex = sliceDER(numberToHexUnpadded(this.r));
            const rLen = numberToHexUnpadded(rHex.length / 2);
            const sLen = numberToHexUnpadded(sHex.length / 2);
            const length = numberToHexUnpadded(rHex.length / 2 + sHex.length / 2 + 4);
            return `30${length}02${rLen}${rHex}02${sLen}${sHex}`;
        }
        toRawBytes() {
            return this.toDERRawBytes();
        }
        toHex() {
            return this.toDERHex();
        }
        toCompactRawBytes() {
            return hexToBytes(this.toCompactHex());
        }
        toCompactHex() {
            return numTo32bStr(this.r) + numTo32bStr(this.s);
        }
    }
    function concatBytes(...arrays) {
        if (!arrays.every((b) => b instanceof Uint8Array))
            throw new Error('Uint8Array list expected');
        if (arrays.length === 1)
            return arrays[0];
        const length = arrays.reduce((a, arr) => a + arr.length, 0);
        const result = new Uint8Array(length);
        for (let i = 0, pad = 0; i < arrays.length; i++) {
            const arr = arrays[i];
            result.set(arr, pad);
            pad += arr.length;
        }
        return result;
    }
    const hexes = Array.from({ length: 256 }, (v, i) => i.toString(16).padStart(2, '0'));
    function bytesToHex(uint8a) {
        if (!(uint8a instanceof Uint8Array))
            throw new Error('Expected Uint8Array');
        let hex = '';
        for (let i = 0; i < uint8a.length; i++) {
            hex += hexes[uint8a[i]];
        }
        return hex;
    }
    const POW_2_256 = BigInt('0x10000000000000000000000000000000000000000000000000000000000000000');
    function numTo32bStr(num) {
        if (typeof num !== 'bigint')
            throw new Error('Expected bigint');
        if (!(_0n <= num && num < POW_2_256))
            throw new Error('Expected number < 2^256');
        return num.toString(16).padStart(64, '0');
    }
    function numTo32b(num) {
        const b = hexToBytes(numTo32bStr(num));
        if (b.length !== 32)
            throw new Error('Error: expected 32 bytes');
        return b;
    }
    function numberToHexUnpadded(num) {
        const hex = num.toString(16);
        return hex.length & 1 ? `0${hex}` : hex;
    }
    function hexToNumber(hex) {
        if (typeof hex !== 'string') {
            throw new TypeError('hexToNumber: expected string, got ' + typeof hex);
        }
        return BigInt(`0x${hex}`);
    }
    function hexToBytes(hex) {
        if (typeof hex !== 'string') {
            throw new TypeError('hexToBytes: expected string, got ' + typeof hex);
        }
        if (hex.length % 2)
            throw new Error('hexToBytes: received invalid unpadded hex' + hex.length);
        const array = new Uint8Array(hex.length / 2);
        for (let i = 0; i < array.length; i++) {
            const j = i * 2;
            const hexByte = hex.slice(j, j + 2);
            const byte = Number.parseInt(hexByte, 16);
            if (Number.isNaN(byte) || byte < 0)
                throw new Error('Invalid byte sequence');
            array[i] = byte;
        }
        return array;
    }
    function bytesToNumber(bytes) {
        return hexToNumber(bytesToHex(bytes));
    }
    function ensureBytes(hex) {
        return hex instanceof Uint8Array ? Uint8Array.from(hex) : hexToBytes(hex);
    }
    function normalizeScalar(num) {
        if (typeof num === 'number' && Number.isSafeInteger(num) && num > 0)
            return BigInt(num);
        if (typeof num === 'bigint' && isWithinCurveOrder(num))
            return num;
        throw new TypeError('Expected valid private scalar: 0 < scalar < curve.n');
    }
    function mod(a, b = CURVE.P) {
        const result = a % b;
        return result >= _0n ? result : b + result;
    }
    function pow2(x, power) {
        const { P } = CURVE;
        let res = x;
        while (power-- > _0n) {
            res *= res;
            res %= P;
        }
        return res;
    }
    function sqrtMod(x) {
        const { P } = CURVE;
        const _6n = BigInt(6);
        const _11n = BigInt(11);
        const _22n = BigInt(22);
        const _23n = BigInt(23);
        const _44n = BigInt(44);
        const _88n = BigInt(88);
        const b2 = (x * x * x) % P;
        const b3 = (b2 * b2 * x) % P;
        const b6 = (pow2(b3, _3n) * b3) % P;
        const b9 = (pow2(b6, _3n) * b3) % P;
        const b11 = (pow2(b9, _2n) * b2) % P;
        const b22 = (pow2(b11, _11n) * b11) % P;
        const b44 = (pow2(b22, _22n) * b22) % P;
        const b88 = (pow2(b44, _44n) * b44) % P;
        const b176 = (pow2(b88, _88n) * b88) % P;
        const b220 = (pow2(b176, _44n) * b44) % P;
        const b223 = (pow2(b220, _3n) * b3) % P;
        const t1 = (pow2(b223, _23n) * b22) % P;
        const t2 = (pow2(t1, _6n) * b2) % P;
        return pow2(t2, _2n);
    }
    function invert(number, modulo = CURVE.P) {
        if (number === _0n || modulo <= _0n) {
            throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`);
        }
        let a = mod(number, modulo);
        let b = modulo;
        let x = _0n, u = _1n;
        while (a !== _0n) {
            const q = b / a;
            const r = b % a;
            const m = x - u * q;
            b = a, a = r, x = u, u = m;
        }
        const gcd = b;
        if (gcd !== _1n)
            throw new Error('invert: does not exist');
        return mod(x, modulo);
    }
    function invertBatch(nums, p = CURVE.P) {
        const scratch = new Array(nums.length);
        const lastMultiplied = nums.reduce((acc, num, i) => {
            if (num === _0n)
                return acc;
            scratch[i] = acc;
            return mod(acc * num, p);
        }, _1n);
        const inverted = invert(lastMultiplied, p);
        nums.reduceRight((acc, num, i) => {
            if (num === _0n)
                return acc;
            scratch[i] = mod(acc * scratch[i], p);
            return mod(acc * num, p);
        }, inverted);
        return scratch;
    }
    const divNearest = (a, b) => (a + b / _2n) / b;
    const ENDO = {
        a1: BigInt('0x3086d221a7d46bcde86c90e49284eb15'),
        b1: -_1n * BigInt('0xe4437ed6010e88286f547fa90abfe4c3'),
        a2: BigInt('0x114ca50f7a8e2f3f657c1108d9d44cfd8'),
        b2: BigInt('0x3086d221a7d46bcde86c90e49284eb15'),
        POW_2_128: BigInt('0x100000000000000000000000000000000'),
    };
    function splitScalarEndo(k) {
        const { n } = CURVE;
        const { a1, b1, a2, b2, POW_2_128 } = ENDO;
        const c1 = divNearest(b2 * k, n);
        const c2 = divNearest(-b1 * k, n);
        let k1 = mod(k - c1 * a1 - c2 * a2, n);
        let k2 = mod(-c1 * b1 - c2 * b2, n);
        const k1neg = k1 > POW_2_128;
        const k2neg = k2 > POW_2_128;
        if (k1neg)
            k1 = n - k1;
        if (k2neg)
            k2 = n - k2;
        if (k1 > POW_2_128 || k2 > POW_2_128) {
            throw new Error('splitScalarEndo: Endomorphism failed, k=' + k);
        }
        return { k1neg, k1, k2neg, k2 };
    }
    function truncateHash(hash) {
        const { n } = CURVE;
        const byteLength = hash.length;
        const delta = byteLength * 8 - 256;
        let h = bytesToNumber(hash);
        if (delta > 0)
            h = h >> BigInt(delta);
        if (h >= n)
            h -= n;
        return h;
    }
    let _sha256Sync;
    let _hmacSha256Sync;
    class HmacDrbg {
        constructor() {
            this.v = new Uint8Array(32).fill(1);
            this.k = new Uint8Array(32).fill(0);
            this.counter = 0;
        }
        hmac(...values) {
            return utils.hmacSha256(this.k, ...values);
        }
        hmacSync(...values) {
            return _hmacSha256Sync(this.k, ...values);
        }
        checkSync() {
            if (typeof _hmacSha256Sync !== 'function')
                throw new ShaError('hmacSha256Sync needs to be set');
        }
        incr() {
            if (this.counter >= 1000)
                throw new Error('Tried 1,000 k values for sign(), all were invalid');
            this.counter += 1;
        }
        async reseed(seed = new Uint8Array()) {
            this.k = await this.hmac(this.v, Uint8Array.from([0x00]), seed);
            this.v = await this.hmac(this.v);
            if (seed.length === 0)
                return;
            this.k = await this.hmac(this.v, Uint8Array.from([0x01]), seed);
            this.v = await this.hmac(this.v);
        }
        reseedSync(seed = new Uint8Array()) {
            this.checkSync();
            this.k = this.hmacSync(this.v, Uint8Array.from([0x00]), seed);
            this.v = this.hmacSync(this.v);
            if (seed.length === 0)
                return;
            this.k = this.hmacSync(this.v, Uint8Array.from([0x01]), seed);
            this.v = this.hmacSync(this.v);
        }
        async generate() {
            this.incr();
            this.v = await this.hmac(this.v);
            return this.v;
        }
        generateSync() {
            this.checkSync();
            this.incr();
            this.v = this.hmacSync(this.v);
            return this.v;
        }
    }
    function isWithinCurveOrder(num) {
        return _0n < num && num < CURVE.n;
    }
    function isValidFieldElement(num) {
        return _0n < num && num < CURVE.P;
    }
    function kmdToSig(kBytes, m, d) {
        const k = bytesToNumber(kBytes);
        if (!isWithinCurveOrder(k))
            return;
        const { n } = CURVE;
        const q = Point.BASE.multiply(k);
        const r = mod(q.x, n);
        if (r === _0n)
            return;
        const s = mod(invert(k, n) * mod(m + d * r, n), n);
        if (s === _0n)
            return;
        const sig = new Signature(r, s);
        const recovery = (q.x === sig.r ? 0 : 2) | Number(q.y & _1n);
        return { sig, recovery };
    }
    function normalizePrivateKey(key) {
        let num;
        if (typeof key === 'bigint') {
            num = key;
        }
        else if (typeof key === 'number' && Number.isSafeInteger(key) && key > 0) {
            num = BigInt(key);
        }
        else if (typeof key === 'string') {
            if (key.length !== 64)
                throw new Error('Expected 32 bytes of private key');
            num = hexToNumber(key);
        }
        else if (key instanceof Uint8Array) {
            if (key.length !== 32)
                throw new Error('Expected 32 bytes of private key');
            num = bytesToNumber(key);
        }
        else {
            throw new TypeError('Expected valid private key');
        }
        if (!isWithinCurveOrder(num))
            throw new Error('Expected private key: 0 < key < n');
        return num;
    }
    function normalizePublicKey(publicKey) {
        if (publicKey instanceof Point) {
            publicKey.assertValidity();
            return publicKey;
        }
        else {
            return Point.fromHex(publicKey);
        }
    }
    function normalizeSignature(signature) {
        if (signature instanceof Signature) {
            signature.assertValidity();
            return signature;
        }
        try {
            return Signature.fromDER(signature);
        }
        catch (error) {
            return Signature.fromCompact(signature);
        }
    }
    function getPublicKey(privateKey, isCompressed = false) {
        return Point.fromPrivateKey(privateKey).toRawBytes(isCompressed);
    }
    function recoverPublicKey(msgHash, signature, recovery, isCompressed = false) {
        return Point.fromSignature(msgHash, signature, recovery).toRawBytes(isCompressed);
    }
    function isProbPub(item) {
        const arr = item instanceof Uint8Array;
        const str = typeof item === 'string';
        const len = (arr || str) && item.length;
        if (arr)
            return len === 33 || len === 65;
        if (str)
            return len === 66 || len === 130;
        if (item instanceof Point)
            return true;
        return false;
    }
    function getSharedSecret(privateA, publicB, isCompressed = false) {
        if (isProbPub(privateA))
            throw new TypeError('getSharedSecret: first arg must be private key');
        if (!isProbPub(publicB))
            throw new TypeError('getSharedSecret: second arg must be public key');
        const b = normalizePublicKey(publicB);
        b.assertValidity();
        return b.multiply(normalizePrivateKey(privateA)).toRawBytes(isCompressed);
    }
    function bits2int(bytes) {
        const slice = bytes.length > 32 ? bytes.slice(0, 32) : bytes;
        return bytesToNumber(slice);
    }
    function bits2octets(bytes) {
        const z1 = bits2int(bytes);
        const z2 = mod(z1, CURVE.n);
        return int2octets(z2 < _0n ? z1 : z2);
    }
    function int2octets(num) {
        return numTo32b(num);
    }
    function initSigArgs(msgHash, privateKey, extraEntropy) {
        if (msgHash == null)
            throw new Error(`sign: expected valid message hash, not "${msgHash}"`);
        const h1 = ensureBytes(msgHash);
        const d = normalizePrivateKey(privateKey);
        const seedArgs = [int2octets(d), bits2octets(h1)];
        if (extraEntropy != null) {
            if (extraEntropy === true)
                extraEntropy = utils.randomBytes(32);
            const e = ensureBytes(extraEntropy);
            if (e.length !== 32)
                throw new Error('sign: Expected 32 bytes of extra data');
            seedArgs.push(e);
        }
        const seed = concatBytes(...seedArgs);
        const m = bits2int(h1);
        return { seed, m, d };
    }
    function finalizeSig(recSig, opts) {
        let { sig, recovery } = recSig;
        const { canonical, der, recovered } = Object.assign({ canonical: true, der: true }, opts);
        if (canonical && sig.hasHighS()) {
            sig = sig.normalizeS();
            recovery ^= 1;
        }
        const hashed = der ? sig.toDERRawBytes() : sig.toCompactRawBytes();
        return recovered ? [hashed, recovery] : hashed;
    }
    async function sign(msgHash, privKey, opts = {}) {
        const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy);
        let sig;
        const drbg = new HmacDrbg();
        await drbg.reseed(seed);
        while (!(sig = kmdToSig(await drbg.generate(), m, d)))
            await drbg.reseed();
        return finalizeSig(sig, opts);
    }
    function signSync(msgHash, privKey, opts = {}) {
        const { seed, m, d } = initSigArgs(msgHash, privKey, opts.extraEntropy);
        let sig;
        const drbg = new HmacDrbg();
        drbg.reseedSync(seed);
        while (!(sig = kmdToSig(drbg.generateSync(), m, d)))
            drbg.reseedSync();
        return finalizeSig(sig, opts);
    }
    const vopts = { strict: true };
    function verify(signature, msgHash, publicKey, opts = vopts) {
        let sig;
        try {
            sig = normalizeSignature(signature);
            msgHash = ensureBytes(msgHash);
        }
        catch (error) {
            return false;
        }
        const { r, s } = sig;
        if (opts.strict && sig.hasHighS())
            return false;
        const h = truncateHash(msgHash);
        let P;
        try {
            P = normalizePublicKey(publicKey);
        }
        catch (error) {
            return false;
        }
        const { n } = CURVE;
        const sinv = invert(s, n);
        const u1 = mod(h * sinv, n);
        const u2 = mod(r * sinv, n);
        const R = Point.BASE.multiplyAndAddUnsafe(P, u1, u2);
        if (!R)
            return false;
        const v = mod(R.x, n);
        return v === r;
    }
    function schnorrChallengeFinalize(ch) {
        return mod(bytesToNumber(ch), CURVE.n);
    }
    class SchnorrSignature {
        constructor(r, s) {
            this.r = r;
            this.s = s;
            this.assertValidity();
        }
        static fromHex(hex) {
            const bytes = ensureBytes(hex);
            if (bytes.length !== 64)
                throw new TypeError(`SchnorrSignature.fromHex: expected 64 bytes, not ${bytes.length}`);
            const r = bytesToNumber(bytes.subarray(0, 32));
            const s = bytesToNumber(bytes.subarray(32, 64));
            return new SchnorrSignature(r, s);
        }
        assertValidity() {
            const { r, s } = this;
            if (!isValidFieldElement(r) || !isWithinCurveOrder(s))
                throw new Error('Invalid signature');
        }
        toHex() {
            return numTo32bStr(this.r) + numTo32bStr(this.s);
        }
        toRawBytes() {
            return hexToBytes(this.toHex());
        }
    }
    function schnorrGetPublicKey(privateKey) {
        return Point.fromPrivateKey(privateKey).toRawX();
    }
    class InternalSchnorrSignature {
        constructor(message, privateKey, auxRand = utils.randomBytes()) {
            if (message == null)
                throw new TypeError(`sign: Expected valid message, not "${message}"`);
            this.m = ensureBytes(message);
            const { x, scalar } = this.getScalar(normalizePrivateKey(privateKey));
            this.px = x;
            this.d = scalar;
            this.rand = ensureBytes(auxRand);
            if (this.rand.length !== 32)
                throw new TypeError('sign: Expected 32 bytes of aux randomness');
        }
        getScalar(priv) {
            const point = Point.fromPrivateKey(priv);
            const scalar = point.hasEvenY() ? priv : CURVE.n - priv;
            return { point, scalar, x: point.toRawX() };
        }
        initNonce(d, t0h) {
            return numTo32b(d ^ bytesToNumber(t0h));
        }
        finalizeNonce(k0h) {
            const k0 = mod(bytesToNumber(k0h), CURVE.n);
            if (k0 === _0n)
                throw new Error('sign: Creation of signature failed. k is zero');
            const { point: R, x: rx, scalar: k } = this.getScalar(k0);
            return { R, rx, k };
        }
        finalizeSig(R, k, e, d) {
            return new SchnorrSignature(R.x, mod(k + e * d, CURVE.n)).toRawBytes();
        }
        error() {
            throw new Error('sign: Invalid signature produced');
        }
        async calc() {
            const { m, d, px, rand } = this;
            const tag = utils.taggedHash;
            const t = this.initNonce(d, await tag(TAGS.aux, rand));
            const { R, rx, k } = this.finalizeNonce(await tag(TAGS.nonce, t, px, m));
            const e = schnorrChallengeFinalize(await tag(TAGS.challenge, rx, px, m));
            const sig = this.finalizeSig(R, k, e, d);
            if (!(await schnorrVerify(sig, m, px)))
                this.error();
            return sig;
        }
        calcSync() {
            const { m, d, px, rand } = this;
            const tag = utils.taggedHashSync;
            const t = this.initNonce(d, tag(TAGS.aux, rand));
            const { R, rx, k } = this.finalizeNonce(tag(TAGS.nonce, t, px, m));
            const e = schnorrChallengeFinalize(tag(TAGS.challenge, rx, px, m));
            const sig = this.finalizeSig(R, k, e, d);
            if (!schnorrVerifySync(sig, m, px))
                this.error();
            return sig;
        }
    }
    async function schnorrSign(msg, privKey, auxRand) {
        return new InternalSchnorrSignature(msg, privKey, auxRand).calc();
    }
    function schnorrSignSync(msg, privKey, auxRand) {
        return new InternalSchnorrSignature(msg, privKey, auxRand).calcSync();
    }
    function initSchnorrVerify(signature, message, publicKey) {
        const raw = signature instanceof SchnorrSignature;
        const sig = raw ? signature : SchnorrSignature.fromHex(signature);
        if (raw)
            sig.assertValidity();
        return {
            ...sig,
            m: ensureBytes(message),
            P: normalizePublicKey(publicKey),
        };
    }
    function finalizeSchnorrVerify(r, P, s, e) {
        const R = Point.BASE.multiplyAndAddUnsafe(P, normalizePrivateKey(s), mod(-e, CURVE.n));
        if (!R || !R.hasEvenY() || R.x !== r)
            return false;
        return true;
    }
    async function schnorrVerify(signature, message, publicKey) {
        try {
            const { r, s, m, P } = initSchnorrVerify(signature, message, publicKey);
            const e = schnorrChallengeFinalize(await utils.taggedHash(TAGS.challenge, numTo32b(r), P.toRawX(), m));
            return finalizeSchnorrVerify(r, P, s, e);
        }
        catch (error) {
            return false;
        }
    }
    function schnorrVerifySync(signature, message, publicKey) {
        try {
            const { r, s, m, P } = initSchnorrVerify(signature, message, publicKey);
            const e = schnorrChallengeFinalize(utils.taggedHashSync(TAGS.challenge, numTo32b(r), P.toRawX(), m));
            return finalizeSchnorrVerify(r, P, s, e);
        }
        catch (error) {
            if (error instanceof ShaError)
                throw error;
            return false;
        }
    }
    const schnorr = {
        Signature: SchnorrSignature,
        getPublicKey: schnorrGetPublicKey,
        sign: schnorrSign,
        verify: schnorrVerify,
        signSync: schnorrSignSync,
        verifySync: schnorrVerifySync,
    };
    Point.BASE._setWindowSize(8);
    const crypto = {
        node: nodeCrypto,
        web: typeof self === 'object' && 'crypto' in self ? self.crypto : undefined,
    };
    const TAGS = {
        challenge: 'BIP0340/challenge',
        aux: 'BIP0340/aux',
        nonce: 'BIP0340/nonce',
    };
    const TAGGED_HASH_PREFIXES = {};
    const utils = {
        bytesToHex,
        hexToBytes,
        concatBytes,
        mod,
        invert,
        isValidPrivateKey(privateKey) {
            try {
                normalizePrivateKey(privateKey);
                return true;
            }
            catch (error) {
                return false;
            }
        },
        _bigintTo32Bytes: numTo32b,
        _normalizePrivateKey: normalizePrivateKey,
        hashToPrivateKey: (hash) => {
            hash = ensureBytes(hash);
            if (hash.length < 40 || hash.length > 1024)
                throw new Error('Expected 40-1024 bytes of private key as per FIPS 186');
            const num = mod(bytesToNumber(hash), CURVE.n - _1n) + _1n;
            return numTo32b(num);
        },
        randomBytes: (bytesLength = 32) => {
            if (crypto.web) {
                return crypto.web.getRandomValues(new Uint8Array(bytesLength));
            }
            else if (crypto.node) {
                const { randomBytes } = crypto.node;
                return Uint8Array.from(randomBytes(bytesLength));
            }
            else {
                throw new Error("The environment doesn't have randomBytes function");
            }
        },
        randomPrivateKey: () => {
            return utils.hashToPrivateKey(utils.randomBytes(40));
        },
        sha256: async (...messages) => {
            if (crypto.web) {
                const buffer = await crypto.web.subtle.digest('SHA-256', concatBytes(...messages));
                return new Uint8Array(buffer);
            }
            else if (crypto.node) {
                const { createHash } = crypto.node;
                const hash = createHash('sha256');
                messages.forEach((m) => hash.update(m));
                return Uint8Array.from(hash.digest());
            }
            else {
                throw new Error("The environment doesn't have sha256 function");
            }
        },
        hmacSha256: async (key, ...messages) => {
            if (crypto.web) {
                const ckey = await crypto.web.subtle.importKey('raw', key, { name: 'HMAC', hash: { name: 'SHA-256' } }, false, ['sign']);
                const message = concatBytes(...messages);
                const buffer = await crypto.web.subtle.sign('HMAC', ckey, message);
                return new Uint8Array(buffer);
            }
            else if (crypto.node) {
                const { createHmac } = crypto.node;
                const hash = createHmac('sha256', key);
                messages.forEach((m) => hash.update(m));
                return Uint8Array.from(hash.digest());
            }
            else {
                throw new Error("The environment doesn't have hmac-sha256 function");
            }
        },
        sha256Sync: undefined,
        hmacSha256Sync: undefined,
        taggedHash: async (tag, ...messages) => {
            let tagP = TAGGED_HASH_PREFIXES[tag];
            if (tagP === undefined) {
                const tagH = await utils.sha256(Uint8Array.from(tag, (c) => c.charCodeAt(0)));
                tagP = concatBytes(tagH, tagH);
                TAGGED_HASH_PREFIXES[tag] = tagP;
            }
            return utils.sha256(tagP, ...messages);
        },
        taggedHashSync: (tag, ...messages) => {
            if (typeof _sha256Sync !== 'function')
                throw new ShaError('sha256Sync is undefined, you need to set it');
            let tagP = TAGGED_HASH_PREFIXES[tag];
            if (tagP === undefined) {
                const tagH = _sha256Sync(Uint8Array.from(tag, (c) => c.charCodeAt(0)));
                tagP = concatBytes(tagH, tagH);
                TAGGED_HASH_PREFIXES[tag] = tagP;
            }
            return _sha256Sync(tagP, ...messages);
        },
        precompute(windowSize = 8, point = Point.BASE) {
            const cached = point === Point.BASE ? point : new Point(point.x, point.y);
            cached._setWindowSize(windowSize);
            cached.multiply(_3n);
            return cached;
        },
    };
    Object.defineProperties(utils, {
        sha256Sync: {
            configurable: false,
            get() {
                return _sha256Sync;
            },
            set(val) {
                if (!_sha256Sync)
                    _sha256Sync = val;
            },
        },
        hmacSha256Sync: {
            configurable: false,
            get() {
                return _hmacSha256Sync;
            },
            set(val) {
                if (!_hmacSha256Sync)
                    _hmacSha256Sync = val;
            },
        },
    });

    exports.CURVE = CURVE;
    exports.Point = Point;
    exports.Signature = Signature;
    exports.getPublicKey = getPublicKey;
    exports.getSharedSecret = getSharedSecret;
    exports.recoverPublicKey = recoverPublicKey;
    exports.schnorr = schnorr;
    exports.sign = sign;
    exports.signSync = signSync;
    exports.utils = utils;
    exports.verify = verify;

    Object.defineProperty(exports, '__esModule', { value: true });

}));