@avalabs/avacloud-waas-react
Version:
React SDK for AvaCloud Wallet as a Service
2,344 lines • 73.5 kB
JavaScript
import {
Hash,
_validateObject,
aInRange,
abool,
abytes,
aexists,
ahash,
anumber,
aoutput,
bitLen,
bitMask,
bytesToHex,
bytesToNumberBE,
bytesToNumberLE,
clean,
concatBytes,
createHasher,
createHmacDrbg,
createView,
ensureBytes,
hexToBytes,
inRange,
isBytes,
isHash,
memoized,
numberToBytesBE,
numberToBytesLE,
numberToHexUnpadded,
randomBytes,
rotr,
toBytes,
utf8ToBytes
} from "./chunk-G3BBITEG.mjs";
// ../../node_modules/.pnpm/@noble+hashes@1.8.0/node_modules/@noble/hashes/esm/_md.js
function setBigUint64(view, byteOffset, value, isLE) {
if (typeof view.setBigUint64 === "function")
return view.setBigUint64(byteOffset, value, isLE);
const _32n = BigInt(32);
const _u32_max = BigInt(4294967295);
const wh = Number(value >> _32n & _u32_max);
const wl = Number(value & _u32_max);
const h = isLE ? 4 : 0;
const l = isLE ? 0 : 4;
view.setUint32(byteOffset + h, wh, isLE);
view.setUint32(byteOffset + l, wl, isLE);
}
function Chi(a, b, c) {
return a & b ^ ~a & c;
}
function Maj(a, b, c) {
return a & b ^ a & c ^ b & c;
}
var HashMD = class extends Hash {
constructor(blockLen, outputLen, padOffset, isLE) {
super();
this.finished = false;
this.length = 0;
this.pos = 0;
this.destroyed = false;
this.blockLen = blockLen;
this.outputLen = outputLen;
this.padOffset = padOffset;
this.isLE = isLE;
this.buffer = new Uint8Array(blockLen);
this.view = createView(this.buffer);
}
update(data) {
aexists(this);
data = toBytes(data);
abytes(data);
const { view, buffer, blockLen } = this;
const len = data.length;
for (let pos = 0; pos < len; ) {
const take = Math.min(blockLen - this.pos, len - pos);
if (take === blockLen) {
const dataView = createView(data);
for (; blockLen <= len - pos; pos += blockLen)
this.process(dataView, pos);
continue;
}
buffer.set(data.subarray(pos, pos + take), this.pos);
this.pos += take;
pos += take;
if (this.pos === blockLen) {
this.process(view, 0);
this.pos = 0;
}
}
this.length += data.length;
this.roundClean();
return this;
}
digestInto(out) {
aexists(this);
aoutput(out, this);
this.finished = true;
const { buffer, view, blockLen, isLE } = this;
let { pos } = this;
buffer[pos++] = 128;
clean(this.buffer.subarray(pos));
if (this.padOffset > blockLen - pos) {
this.process(view, 0);
pos = 0;
}
for (let i = pos; i < blockLen; i++)
buffer[i] = 0;
setBigUint64(view, blockLen - 8, BigInt(this.length * 8), isLE);
this.process(view, 0);
const oview = createView(out);
const len = this.outputLen;
if (len % 4)
throw new Error("_sha2: outputLen should be aligned to 32bit");
const outLen = len / 4;
const state = this.get();
if (outLen > state.length)
throw new Error("_sha2: outputLen bigger than state");
for (let i = 0; i < outLen; i++)
oview.setUint32(4 * i, state[i], isLE);
}
digest() {
const { buffer, outputLen } = this;
this.digestInto(buffer);
const res = buffer.slice(0, outputLen);
this.destroy();
return res;
}
_cloneInto(to) {
to || (to = new this.constructor());
to.set(...this.get());
const { blockLen, buffer, length, finished, destroyed, pos } = this;
to.destroyed = destroyed;
to.finished = finished;
to.length = length;
to.pos = pos;
if (length % blockLen)
to.buffer.set(buffer);
return to;
}
clone() {
return this._cloneInto();
}
};
var SHA256_IV = /* @__PURE__ */ Uint32Array.from([
1779033703,
3144134277,
1013904242,
2773480762,
1359893119,
2600822924,
528734635,
1541459225
]);
// ../../node_modules/.pnpm/@noble+hashes@1.8.0/node_modules/@noble/hashes/esm/sha2.js
var SHA256_K = /* @__PURE__ */ Uint32Array.from([
1116352408,
1899447441,
3049323471,
3921009573,
961987163,
1508970993,
2453635748,
2870763221,
3624381080,
310598401,
607225278,
1426881987,
1925078388,
2162078206,
2614888103,
3248222580,
3835390401,
4022224774,
264347078,
604807628,
770255983,
1249150122,
1555081692,
1996064986,
2554220882,
2821834349,
2952996808,
3210313671,
3336571891,
3584528711,
113926993,
338241895,
666307205,
773529912,
1294757372,
1396182291,
1695183700,
1986661051,
2177026350,
2456956037,
2730485921,
2820302411,
3259730800,
3345764771,
3516065817,
3600352804,
4094571909,
275423344,
430227734,
506948616,
659060556,
883997877,
958139571,
1322822218,
1537002063,
1747873779,
1955562222,
2024104815,
2227730452,
2361852424,
2428436474,
2756734187,
3204031479,
3329325298
]);
var SHA256_W = /* @__PURE__ */ new Uint32Array(64);
var SHA256 = class extends HashMD {
constructor(outputLen = 32) {
super(64, outputLen, 8, false);
this.A = SHA256_IV[0] | 0;
this.B = SHA256_IV[1] | 0;
this.C = SHA256_IV[2] | 0;
this.D = SHA256_IV[3] | 0;
this.E = SHA256_IV[4] | 0;
this.F = SHA256_IV[5] | 0;
this.G = SHA256_IV[6] | 0;
this.H = SHA256_IV[7] | 0;
}
get() {
const { A, B, C, D, E, F, G, H } = this;
return [A, B, C, D, E, F, G, H];
}
// prettier-ignore
set(A, B, C, D, E, F, G, H) {
this.A = A | 0;
this.B = B | 0;
this.C = C | 0;
this.D = D | 0;
this.E = E | 0;
this.F = F | 0;
this.G = G | 0;
this.H = H | 0;
}
process(view, offset) {
for (let i = 0; i < 16; i++, offset += 4)
SHA256_W[i] = view.getUint32(offset, false);
for (let i = 16; i < 64; i++) {
const W15 = SHA256_W[i - 15];
const W2 = SHA256_W[i - 2];
const s0 = rotr(W15, 7) ^ rotr(W15, 18) ^ W15 >>> 3;
const s1 = rotr(W2, 17) ^ rotr(W2, 19) ^ W2 >>> 10;
SHA256_W[i] = s1 + SHA256_W[i - 7] + s0 + SHA256_W[i - 16] | 0;
}
let { A, B, C, D, E, F, G, H } = this;
for (let i = 0; i < 64; i++) {
const sigma1 = rotr(E, 6) ^ rotr(E, 11) ^ rotr(E, 25);
const T1 = H + sigma1 + Chi(E, F, G) + SHA256_K[i] + SHA256_W[i] | 0;
const sigma0 = rotr(A, 2) ^ rotr(A, 13) ^ rotr(A, 22);
const T2 = sigma0 + Maj(A, B, C) | 0;
H = G;
G = F;
F = E;
E = D + T1 | 0;
D = C;
C = B;
B = A;
A = T1 + T2 | 0;
}
A = A + this.A | 0;
B = B + this.B | 0;
C = C + this.C | 0;
D = D + this.D | 0;
E = E + this.E | 0;
F = F + this.F | 0;
G = G + this.G | 0;
H = H + this.H | 0;
this.set(A, B, C, D, E, F, G, H);
}
roundClean() {
clean(SHA256_W);
}
destroy() {
this.set(0, 0, 0, 0, 0, 0, 0, 0);
clean(this.buffer);
}
};
var sha256 = /* @__PURE__ */ createHasher(() => new SHA256());
// ../../node_modules/.pnpm/@noble+hashes@1.8.0/node_modules/@noble/hashes/esm/hmac.js
var HMAC = class extends Hash {
constructor(hash, _key) {
super();
this.finished = false;
this.destroyed = false;
ahash(hash);
const key = toBytes(_key);
this.iHash = hash.create();
if (typeof this.iHash.update !== "function")
throw new Error("Expected instance of class which extends utils.Hash");
this.blockLen = this.iHash.blockLen;
this.outputLen = this.iHash.outputLen;
const blockLen = this.blockLen;
const pad = new Uint8Array(blockLen);
pad.set(key.length > blockLen ? hash.create().update(key).digest() : key);
for (let i = 0; i < pad.length; i++)
pad[i] ^= 54;
this.iHash.update(pad);
this.oHash = hash.create();
for (let i = 0; i < pad.length; i++)
pad[i] ^= 54 ^ 92;
this.oHash.update(pad);
clean(pad);
}
update(buf) {
aexists(this);
this.iHash.update(buf);
return this;
}
digestInto(out) {
aexists(this);
abytes(out, this.outputLen);
this.finished = true;
this.iHash.digestInto(out);
this.oHash.update(out);
this.oHash.digestInto(out);
this.destroy();
}
digest() {
const out = new Uint8Array(this.oHash.outputLen);
this.digestInto(out);
return out;
}
_cloneInto(to) {
to || (to = Object.create(Object.getPrototypeOf(this), {}));
const { oHash, iHash, finished, destroyed, blockLen, outputLen } = this;
to = to;
to.finished = finished;
to.destroyed = destroyed;
to.blockLen = blockLen;
to.outputLen = outputLen;
to.oHash = oHash._cloneInto(to.oHash);
to.iHash = iHash._cloneInto(to.iHash);
return to;
}
clone() {
return this._cloneInto();
}
destroy() {
this.destroyed = true;
this.oHash.destroy();
this.iHash.destroy();
}
};
var hmac = (hash, key, message) => new HMAC(hash, key).update(message).digest();
hmac.create = (hash, key) => new HMAC(hash, key);
// ../../node_modules/.pnpm/@noble+curves@1.9.2/node_modules/@noble/curves/esm/abstract/modular.js
var _0n = BigInt(0);
var _1n = BigInt(1);
var _2n = /* @__PURE__ */ BigInt(2);
var _3n = /* @__PURE__ */ BigInt(3);
var _4n = /* @__PURE__ */ BigInt(4);
var _5n = /* @__PURE__ */ BigInt(5);
var _8n = /* @__PURE__ */ BigInt(8);
function mod(a, b) {
const result = a % b;
return result >= _0n ? result : b + result;
}
function pow2(x, power, modulo) {
let res = x;
while (power-- > _0n) {
res *= res;
res %= modulo;
}
return res;
}
function invert(number, modulo) {
if (number === _0n)
throw new Error("invert: expected non-zero number");
if (modulo <= _0n)
throw new Error("invert: expected positive modulus, got " + modulo);
let a = mod(number, modulo);
let b = modulo;
let x = _0n, y = _1n, u = _1n, v = _0n;
while (a !== _0n) {
const q = b / a;
const r = b % a;
const m = x - u * q;
const n = y - v * q;
b = a, a = r, x = u, y = v, u = m, v = n;
}
const gcd = b;
if (gcd !== _1n)
throw new Error("invert: does not exist");
return mod(x, modulo);
}
function sqrt3mod4(Fp, n) {
const p1div4 = (Fp.ORDER + _1n) / _4n;
const root = Fp.pow(n, p1div4);
if (!Fp.eql(Fp.sqr(root), n))
throw new Error("Cannot find square root");
return root;
}
function sqrt5mod8(Fp, n) {
const p5div8 = (Fp.ORDER - _5n) / _8n;
const n2 = Fp.mul(n, _2n);
const v = Fp.pow(n2, p5div8);
const nv = Fp.mul(n, v);
const i = Fp.mul(Fp.mul(nv, _2n), v);
const root = Fp.mul(nv, Fp.sub(i, Fp.ONE));
if (!Fp.eql(Fp.sqr(root), n))
throw new Error("Cannot find square root");
return root;
}
function tonelliShanks(P) {
if (P < BigInt(3))
throw new Error("sqrt is not defined for small field");
let Q = P - _1n;
let S = 0;
while (Q % _2n === _0n) {
Q /= _2n;
S++;
}
let Z = _2n;
const _Fp = Field(P);
while (FpLegendre(_Fp, Z) === 1) {
if (Z++ > 1e3)
throw new Error("Cannot find square root: probably non-prime P");
}
if (S === 1)
return sqrt3mod4;
let cc = _Fp.pow(Z, Q);
const Q1div2 = (Q + _1n) / _2n;
return function tonelliSlow(Fp, n) {
if (Fp.is0(n))
return n;
if (FpLegendre(Fp, n) !== 1)
throw new Error("Cannot find square root");
let M = S;
let c = Fp.mul(Fp.ONE, cc);
let t = Fp.pow(n, Q);
let R = Fp.pow(n, Q1div2);
while (!Fp.eql(t, Fp.ONE)) {
if (Fp.is0(t))
return Fp.ZERO;
let i = 1;
let t_tmp = Fp.sqr(t);
while (!Fp.eql(t_tmp, Fp.ONE)) {
i++;
t_tmp = Fp.sqr(t_tmp);
if (i === M)
throw new Error("Cannot find square root");
}
const exponent = _1n << BigInt(M - i - 1);
const b = Fp.pow(c, exponent);
M = i;
c = Fp.sqr(b);
t = Fp.mul(t, c);
R = Fp.mul(R, b);
}
return R;
};
}
function FpSqrt(P) {
if (P % _4n === _3n)
return sqrt3mod4;
if (P % _8n === _5n)
return sqrt5mod8;
return tonelliShanks(P);
}
var FIELD_FIELDS = [
"create",
"isValid",
"is0",
"neg",
"inv",
"sqrt",
"sqr",
"eql",
"add",
"sub",
"mul",
"pow",
"div",
"addN",
"subN",
"mulN",
"sqrN"
];
function validateField(field) {
const initial = {
ORDER: "bigint",
MASK: "bigint",
BYTES: "number",
BITS: "number"
};
const opts = FIELD_FIELDS.reduce((map, val) => {
map[val] = "function";
return map;
}, initial);
_validateObject(field, opts);
return field;
}
function FpPow(Fp, num2, power) {
if (power < _0n)
throw new Error("invalid exponent, negatives unsupported");
if (power === _0n)
return Fp.ONE;
if (power === _1n)
return num2;
let p = Fp.ONE;
let d = num2;
while (power > _0n) {
if (power & _1n)
p = Fp.mul(p, d);
d = Fp.sqr(d);
power >>= _1n;
}
return p;
}
function FpInvertBatch(Fp, nums, passZero = false) {
const inverted = new Array(nums.length).fill(passZero ? Fp.ZERO : void 0);
const multipliedAcc = nums.reduce((acc, num2, i) => {
if (Fp.is0(num2))
return acc;
inverted[i] = acc;
return Fp.mul(acc, num2);
}, Fp.ONE);
const invertedAcc = Fp.inv(multipliedAcc);
nums.reduceRight((acc, num2, i) => {
if (Fp.is0(num2))
return acc;
inverted[i] = Fp.mul(acc, inverted[i]);
return Fp.mul(acc, num2);
}, invertedAcc);
return inverted;
}
function FpLegendre(Fp, n) {
const p1mod2 = (Fp.ORDER - _1n) / _2n;
const powered = Fp.pow(n, p1mod2);
const yes = Fp.eql(powered, Fp.ONE);
const zero = Fp.eql(powered, Fp.ZERO);
const no = Fp.eql(powered, Fp.neg(Fp.ONE));
if (!yes && !zero && !no)
throw new Error("invalid Legendre symbol result");
return yes ? 1 : zero ? 0 : -1;
}
function nLength(n, nBitLength) {
if (nBitLength !== void 0)
anumber(nBitLength);
const _nBitLength = nBitLength !== void 0 ? nBitLength : n.toString(2).length;
const nByteLength = Math.ceil(_nBitLength / 8);
return { nBitLength: _nBitLength, nByteLength };
}
function Field(ORDER, bitLenOrOpts, isLE = false, opts = {}) {
if (ORDER <= _0n)
throw new Error("invalid field: expected ORDER > 0, got " + ORDER);
let _nbitLength = void 0;
let _sqrt = void 0;
if (typeof bitLenOrOpts === "object" && bitLenOrOpts != null) {
if (opts.sqrt || isLE)
throw new Error("cannot specify opts in two arguments");
const _opts = bitLenOrOpts;
if (_opts.BITS)
_nbitLength = _opts.BITS;
if (_opts.sqrt)
_sqrt = _opts.sqrt;
if (typeof _opts.isLE === "boolean")
isLE = _opts.isLE;
} else {
if (typeof bitLenOrOpts === "number")
_nbitLength = bitLenOrOpts;
if (opts.sqrt)
_sqrt = opts.sqrt;
}
const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, _nbitLength);
if (BYTES > 2048)
throw new Error("invalid field: expected ORDER of <= 2048 bytes");
let sqrtP;
const f = Object.freeze({
ORDER,
isLE,
BITS,
BYTES,
MASK: bitMask(BITS),
ZERO: _0n,
ONE: _1n,
create: (num2) => mod(num2, ORDER),
isValid: (num2) => {
if (typeof num2 !== "bigint")
throw new Error("invalid field element: expected bigint, got " + typeof num2);
return _0n <= num2 && num2 < ORDER;
},
is0: (num2) => num2 === _0n,
// is valid and invertible
isValidNot0: (num2) => !f.is0(num2) && f.isValid(num2),
isOdd: (num2) => (num2 & _1n) === _1n,
neg: (num2) => mod(-num2, ORDER),
eql: (lhs, rhs) => lhs === rhs,
sqr: (num2) => mod(num2 * num2, ORDER),
add: (lhs, rhs) => mod(lhs + rhs, ORDER),
sub: (lhs, rhs) => mod(lhs - rhs, ORDER),
mul: (lhs, rhs) => mod(lhs * rhs, ORDER),
pow: (num2, power) => FpPow(f, num2, power),
div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),
// Same as above, but doesn't normalize
sqrN: (num2) => num2 * num2,
addN: (lhs, rhs) => lhs + rhs,
subN: (lhs, rhs) => lhs - rhs,
mulN: (lhs, rhs) => lhs * rhs,
inv: (num2) => invert(num2, ORDER),
sqrt: _sqrt || ((n) => {
if (!sqrtP)
sqrtP = FpSqrt(ORDER);
return sqrtP(f, n);
}),
toBytes: (num2) => isLE ? numberToBytesLE(num2, BYTES) : numberToBytesBE(num2, BYTES),
fromBytes: (bytes) => {
if (bytes.length !== BYTES)
throw new Error("Field.fromBytes: expected " + BYTES + " bytes, got " + bytes.length);
return isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
},
// TODO: we don't need it here, move out to separate fn
invertBatch: (lst) => FpInvertBatch(f, lst),
// We can't move this out because Fp6, Fp12 implement it
// and it's unclear what to return in there.
cmov: (a, b, c) => c ? b : a
});
return Object.freeze(f);
}
function getFieldBytesLength(fieldOrder) {
if (typeof fieldOrder !== "bigint")
throw new Error("field order must be bigint");
const bitLength = fieldOrder.toString(2).length;
return Math.ceil(bitLength / 8);
}
function getMinHashLength(fieldOrder) {
const length = getFieldBytesLength(fieldOrder);
return length + Math.ceil(length / 2);
}
function mapHashToField(key, fieldOrder, isLE = false) {
const len = key.length;
const fieldLen = getFieldBytesLength(fieldOrder);
const minLen = getMinHashLength(fieldOrder);
if (len < 16 || len < minLen || len > 1024)
throw new Error("expected " + minLen + "-1024 bytes of input, got " + len);
const num2 = isLE ? bytesToNumberLE(key) : bytesToNumberBE(key);
const reduced = mod(num2, fieldOrder - _1n) + _1n;
return isLE ? numberToBytesLE(reduced, fieldLen) : numberToBytesBE(reduced, fieldLen);
}
// ../../node_modules/.pnpm/@noble+curves@1.9.2/node_modules/@noble/curves/esm/abstract/curve.js
var _0n2 = BigInt(0);
var _1n2 = BigInt(1);
function negateCt(condition, item) {
const neg = item.negate();
return condition ? neg : item;
}
function normalizeZ(c, property, points) {
const getz = property === "pz" ? (p) => p.pz : (p) => p.ez;
const toInv = FpInvertBatch(c.Fp, points.map(getz));
const affined = points.map((p, i) => p.toAffine(toInv[i]));
return affined.map(c.fromAffine);
}
function validateW(W, bits) {
if (!Number.isSafeInteger(W) || W <= 0 || W > bits)
throw new Error("invalid window size, expected [1.." + bits + "], got W=" + W);
}
function calcWOpts(W, scalarBits) {
validateW(W, scalarBits);
const windows = Math.ceil(scalarBits / W) + 1;
const windowSize = 2 ** (W - 1);
const maxNumber = 2 ** W;
const mask = bitMask(W);
const shiftBy = BigInt(W);
return { windows, windowSize, mask, maxNumber, shiftBy };
}
function calcOffsets(n, window, wOpts) {
const { windowSize, mask, maxNumber, shiftBy } = wOpts;
let wbits = Number(n & mask);
let nextN = n >> shiftBy;
if (wbits > windowSize) {
wbits -= maxNumber;
nextN += _1n2;
}
const offsetStart = window * windowSize;
const offset = offsetStart + Math.abs(wbits) - 1;
const isZero = wbits === 0;
const isNeg = wbits < 0;
const isNegF = window % 2 !== 0;
const offsetF = offsetStart;
return { nextN, offset, isZero, isNeg, isNegF, offsetF };
}
function validateMSMPoints(points, c) {
if (!Array.isArray(points))
throw new Error("array expected");
points.forEach((p, i) => {
if (!(p instanceof c))
throw new Error("invalid point at index " + i);
});
}
function validateMSMScalars(scalars, field) {
if (!Array.isArray(scalars))
throw new Error("array of scalars expected");
scalars.forEach((s, i) => {
if (!field.isValid(s))
throw new Error("invalid scalar at index " + i);
});
}
var pointPrecomputes = /* @__PURE__ */ new WeakMap();
var pointWindowSizes = /* @__PURE__ */ new WeakMap();
function getW(P) {
return pointWindowSizes.get(P) || 1;
}
function assert0(n) {
if (n !== _0n2)
throw new Error("invalid wNAF");
}
function wNAF(c, bits) {
return {
constTimeNegate: negateCt,
hasPrecomputes(elm) {
return getW(elm) !== 1;
},
// non-const time multiplication ladder
unsafeLadder(elm, n, p = c.ZERO) {
let d = elm;
while (n > _0n2) {
if (n & _1n2)
p = p.add(d);
d = d.double();
n >>= _1n2;
}
return p;
},
/**
* Creates a wNAF precomputation window. Used for caching.
* Default window size is set by `utils.precompute()` and is equal to 8.
* Number of precomputed points depends on the curve size:
* 2^(𝑊−1) * (Math.ceil(𝑛 / 𝑊) + 1), where:
* - 𝑊 is the window size
* - 𝑛 is the bitlength of the curve order.
* For a 256-bit curve and window size 8, the number of precomputed points is 128 * 33 = 4224.
* @param elm Point instance
* @param W window size
* @returns precomputed point tables flattened to a single array
*/
precomputeWindow(elm, W) {
const { windows, windowSize } = calcWOpts(W, bits);
const points = [];
let p = elm;
let base = p;
for (let window = 0; window < windows; window++) {
base = p;
points.push(base);
for (let i = 1; i < windowSize; i++) {
base = base.add(p);
points.push(base);
}
p = base.double();
}
return points;
},
/**
* Implements ec multiplication using precomputed tables and w-ary non-adjacent form.
* @param W window size
* @param precomputes precomputed tables
* @param n scalar (we don't check here, but should be less than curve order)
* @returns real and fake (for const-time) points
*/
wNAF(W, precomputes, n) {
let p = c.ZERO;
let f = c.BASE;
const wo = calcWOpts(W, bits);
for (let window = 0; window < wo.windows; window++) {
const { nextN, offset, isZero, isNeg, isNegF, offsetF } = calcOffsets(n, window, wo);
n = nextN;
if (isZero) {
f = f.add(negateCt(isNegF, precomputes[offsetF]));
} else {
p = p.add(negateCt(isNeg, precomputes[offset]));
}
}
assert0(n);
return { p, f };
},
/**
* Implements ec unsafe (non const-time) multiplication using precomputed tables and w-ary non-adjacent form.
* @param W window size
* @param precomputes precomputed tables
* @param n scalar (we don't check here, but should be less than curve order)
* @param acc accumulator point to add result of multiplication
* @returns point
*/
wNAFUnsafe(W, precomputes, n, acc = c.ZERO) {
const wo = calcWOpts(W, bits);
for (let window = 0; window < wo.windows; window++) {
if (n === _0n2)
break;
const { nextN, offset, isZero, isNeg } = calcOffsets(n, window, wo);
n = nextN;
if (isZero) {
continue;
} else {
const item = precomputes[offset];
acc = acc.add(isNeg ? item.negate() : item);
}
}
assert0(n);
return acc;
},
getPrecomputes(W, P, transform) {
let comp = pointPrecomputes.get(P);
if (!comp) {
comp = this.precomputeWindow(P, W);
if (W !== 1) {
if (typeof transform === "function")
comp = transform(comp);
pointPrecomputes.set(P, comp);
}
}
return comp;
},
wNAFCached(P, n, transform) {
const W = getW(P);
return this.wNAF(W, this.getPrecomputes(W, P, transform), n);
},
wNAFCachedUnsafe(P, n, transform, prev) {
const W = getW(P);
if (W === 1)
return this.unsafeLadder(P, n, prev);
return this.wNAFUnsafe(W, this.getPrecomputes(W, P, transform), n, prev);
},
// We calculate precomputes for elliptic curve point multiplication
// using windowed method. This specifies window size and
// stores precomputed values. Usually only base point would be precomputed.
setWindowSize(P, W) {
validateW(W, bits);
pointWindowSizes.set(P, W);
pointPrecomputes.delete(P);
}
};
}
function mulEndoUnsafe(c, point, k1, k2) {
let acc = point;
let p1 = c.ZERO;
let p2 = c.ZERO;
while (k1 > _0n2 || k2 > _0n2) {
if (k1 & _1n2)
p1 = p1.add(acc);
if (k2 & _1n2)
p2 = p2.add(acc);
acc = acc.double();
k1 >>= _1n2;
k2 >>= _1n2;
}
return { p1, p2 };
}
function pippenger(c, fieldN, points, scalars) {
validateMSMPoints(points, c);
validateMSMScalars(scalars, fieldN);
const plength = points.length;
const slength = scalars.length;
if (plength !== slength)
throw new Error("arrays of points and scalars must have equal length");
const zero = c.ZERO;
const wbits = bitLen(BigInt(plength));
let windowSize = 1;
if (wbits > 12)
windowSize = wbits - 3;
else if (wbits > 4)
windowSize = wbits - 2;
else if (wbits > 0)
windowSize = 2;
const MASK = bitMask(windowSize);
const buckets = new Array(Number(MASK) + 1).fill(zero);
const lastBits = Math.floor((fieldN.BITS - 1) / windowSize) * windowSize;
let sum = zero;
for (let i = lastBits; i >= 0; i -= windowSize) {
buckets.fill(zero);
for (let j = 0; j < slength; j++) {
const scalar = scalars[j];
const wbits2 = Number(scalar >> BigInt(i) & MASK);
buckets[wbits2] = buckets[wbits2].add(points[j]);
}
let resI = zero;
for (let j = buckets.length - 1, sumI = zero; j > 0; j--) {
sumI = sumI.add(buckets[j]);
resI = resI.add(sumI);
}
sum = sum.add(resI);
if (i !== 0)
for (let j = 0; j < windowSize; j++)
sum = sum.double();
}
return sum;
}
function createField(order, field) {
if (field) {
if (field.ORDER !== order)
throw new Error("Field.ORDER must match order: Fp == p, Fn == n");
validateField(field);
return field;
} else {
return Field(order);
}
}
function _createCurveFields(type, CURVE, curveOpts = {}) {
if (!CURVE || typeof CURVE !== "object")
throw new Error(`expected valid ${type} CURVE object`);
for (const p of ["p", "n", "h"]) {
const val = CURVE[p];
if (!(typeof val === "bigint" && val > _0n2))
throw new Error(`CURVE.${p} must be positive bigint`);
}
const Fp = createField(CURVE.p, curveOpts.Fp);
const Fn = createField(CURVE.n, curveOpts.Fn);
const _b = type === "weierstrass" ? "b" : "d";
const params = ["Gx", "Gy", "a", _b];
for (const p of params) {
if (!Fp.isValid(CURVE[p]))
throw new Error(`CURVE.${p} must be valid field element of CURVE.Fp`);
}
return { Fp, Fn };
}
// ../../node_modules/.pnpm/@noble+curves@1.9.2/node_modules/@noble/curves/esm/abstract/weierstrass.js
function validateSigVerOpts(opts) {
if (opts.lowS !== void 0)
abool("lowS", opts.lowS);
if (opts.prehash !== void 0)
abool("prehash", opts.prehash);
}
var DERErr = class extends Error {
constructor(m = "") {
super(m);
}
};
var DER = {
// asn.1 DER encoding utils
Err: DERErr,
// Basic building block is TLV (Tag-Length-Value)
_tlv: {
encode: (tag, data) => {
const { Err: E } = DER;
if (tag < 0 || tag > 256)
throw new E("tlv.encode: wrong tag");
if (data.length & 1)
throw new E("tlv.encode: unpadded data");
const dataLen = data.length / 2;
const len = numberToHexUnpadded(dataLen);
if (len.length / 2 & 128)
throw new E("tlv.encode: long form length too big");
const lenLen = dataLen > 127 ? numberToHexUnpadded(len.length / 2 | 128) : "";
const t = numberToHexUnpadded(tag);
return t + lenLen + len + data;
},
// v - value, l - left bytes (unparsed)
decode(tag, data) {
const { Err: E } = DER;
let pos = 0;
if (tag < 0 || tag > 256)
throw new E("tlv.encode: wrong tag");
if (data.length < 2 || data[pos++] !== tag)
throw new E("tlv.decode: wrong tlv");
const first = data[pos++];
const isLong = !!(first & 128);
let length = 0;
if (!isLong)
length = first;
else {
const lenLen = first & 127;
if (!lenLen)
throw new E("tlv.decode(long): indefinite length not supported");
if (lenLen > 4)
throw new E("tlv.decode(long): byte length is too big");
const lengthBytes = data.subarray(pos, pos + lenLen);
if (lengthBytes.length !== lenLen)
throw new E("tlv.decode: length bytes not complete");
if (lengthBytes[0] === 0)
throw new E("tlv.decode(long): zero leftmost byte");
for (const b of lengthBytes)
length = length << 8 | b;
pos += lenLen;
if (length < 128)
throw new E("tlv.decode(long): not minimal encoding");
}
const v = data.subarray(pos, pos + length);
if (v.length !== length)
throw new E("tlv.decode: wrong value length");
return { v, l: data.subarray(pos + length) };
}
},
// https://crypto.stackexchange.com/a/57734 Leftmost bit of first byte is 'negative' flag,
// since we always use positive integers here. It must always be empty:
// - add zero byte if exists
// - if next byte doesn't have a flag, leading zero is not allowed (minimal encoding)
_int: {
encode(num2) {
const { Err: E } = DER;
if (num2 < _0n3)
throw new E("integer: negative integers are not allowed");
let hex = numberToHexUnpadded(num2);
if (Number.parseInt(hex[0], 16) & 8)
hex = "00" + hex;
if (hex.length & 1)
throw new E("unexpected DER parsing assertion: unpadded hex");
return hex;
},
decode(data) {
const { Err: E } = DER;
if (data[0] & 128)
throw new E("invalid signature integer: negative");
if (data[0] === 0 && !(data[1] & 128))
throw new E("invalid signature integer: unnecessary leading zero");
return bytesToNumberBE(data);
}
},
toSig(hex) {
const { Err: E, _int: int, _tlv: tlv } = DER;
const data = ensureBytes("signature", hex);
const { v: seqBytes, l: seqLeftBytes } = tlv.decode(48, data);
if (seqLeftBytes.length)
throw new E("invalid signature: left bytes after parsing");
const { v: rBytes, l: rLeftBytes } = tlv.decode(2, seqBytes);
const { v: sBytes, l: sLeftBytes } = tlv.decode(2, rLeftBytes);
if (sLeftBytes.length)
throw new E("invalid signature: left bytes after parsing");
return { r: int.decode(rBytes), s: int.decode(sBytes) };
},
hexFromSig(sig) {
const { _tlv: tlv, _int: int } = DER;
const rs = tlv.encode(2, int.encode(sig.r));
const ss = tlv.encode(2, int.encode(sig.s));
const seq = rs + ss;
return tlv.encode(48, seq);
}
};
var _0n3 = BigInt(0);
var _1n3 = BigInt(1);
var _2n2 = BigInt(2);
var _3n2 = BigInt(3);
var _4n2 = BigInt(4);
function _legacyHelperEquat(Fp, a, b) {
function weierstrassEquation(x) {
const x2 = Fp.sqr(x);
const x3 = Fp.mul(x2, x);
return Fp.add(Fp.add(x3, Fp.mul(x, a)), b);
}
return weierstrassEquation;
}
function _legacyHelperNormPriv(Fn, allowedPrivateKeyLengths, wrapPrivateKey) {
const { BYTES: expected } = Fn;
function normPrivateKeyToScalar(key) {
let num2;
if (typeof key === "bigint") {
num2 = key;
} else {
let bytes = ensureBytes("private key", key);
if (allowedPrivateKeyLengths) {
if (!allowedPrivateKeyLengths.includes(bytes.length * 2))
throw new Error("invalid private key");
const padded = new Uint8Array(expected);
padded.set(bytes, padded.length - bytes.length);
bytes = padded;
}
try {
num2 = Fn.fromBytes(bytes);
} catch (error) {
throw new Error(`invalid private key: expected ui8a of size ${expected}, got ${typeof key}`);
}
}
if (wrapPrivateKey)
num2 = Fn.create(num2);
if (!Fn.isValidNot0(num2))
throw new Error("invalid private key: out of range [1..N-1]");
return num2;
}
return normPrivateKeyToScalar;
}
function weierstrassN(CURVE, curveOpts = {}) {
const { Fp, Fn } = _createCurveFields("weierstrass", CURVE, curveOpts);
const { h: cofactor, n: CURVE_ORDER } = CURVE;
_validateObject(curveOpts, {}, {
allowInfinityPoint: "boolean",
clearCofactor: "function",
isTorsionFree: "function",
fromBytes: "function",
toBytes: "function",
endo: "object",
wrapPrivateKey: "boolean"
});
const { endo } = curveOpts;
if (endo) {
if (!Fp.is0(CURVE.a) || typeof endo.beta !== "bigint" || typeof endo.splitScalar !== "function") {
throw new Error('invalid endo: expected "beta": bigint and "splitScalar": function');
}
}
function assertCompressionIsSupported() {
if (!Fp.isOdd)
throw new Error("compression is not supported: Field does not have .isOdd()");
}
function pointToBytes2(_c, point, isCompressed) {
const { x, y } = point.toAffine();
const bx = Fp.toBytes(x);
abool("isCompressed", isCompressed);
if (isCompressed) {
assertCompressionIsSupported();
const hasEvenY = !Fp.isOdd(y);
return concatBytes(pprefix(hasEvenY), bx);
} else {
return concatBytes(Uint8Array.of(4), bx, Fp.toBytes(y));
}
}
function pointFromBytes(bytes) {
abytes(bytes);
const L = Fp.BYTES;
const LC = L + 1;
const LU = 2 * L + 1;
const length = bytes.length;
const head = bytes[0];
const tail = bytes.subarray(1);
if (length === LC && (head === 2 || head === 3)) {
const x = Fp.fromBytes(tail);
if (!Fp.isValid(x))
throw new Error("bad point: is not on curve, wrong x");
const y2 = weierstrassEquation(x);
let y;
try {
y = Fp.sqrt(y2);
} catch (sqrtError) {
const err = sqrtError instanceof Error ? ": " + sqrtError.message : "";
throw new Error("bad point: is not on curve, sqrt error" + err);
}
assertCompressionIsSupported();
const isYOdd = Fp.isOdd(y);
const isHeadOdd = (head & 1) === 1;
if (isHeadOdd !== isYOdd)
y = Fp.neg(y);
return { x, y };
} else if (length === LU && head === 4) {
const x = Fp.fromBytes(tail.subarray(L * 0, L * 1));
const y = Fp.fromBytes(tail.subarray(L * 1, L * 2));
if (!isValidXY(x, y))
throw new Error("bad point: is not on curve");
return { x, y };
} else {
throw new Error(`bad point: got length ${length}, expected compressed=${LC} or uncompressed=${LU}`);
}
}
const toBytes2 = curveOpts.toBytes || pointToBytes2;
const fromBytes = curveOpts.fromBytes || pointFromBytes;
const weierstrassEquation = _legacyHelperEquat(Fp, CURVE.a, CURVE.b);
function isValidXY(x, y) {
const left = Fp.sqr(y);
const right = weierstrassEquation(x);
return Fp.eql(left, right);
}
if (!isValidXY(CURVE.Gx, CURVE.Gy))
throw new Error("bad curve params: generator point");
const _4a3 = Fp.mul(Fp.pow(CURVE.a, _3n2), _4n2);
const _27b2 = Fp.mul(Fp.sqr(CURVE.b), BigInt(27));
if (Fp.is0(Fp.add(_4a3, _27b2)))
throw new Error("bad curve params: a or b");
function acoord(title, n, banZero = false) {
if (!Fp.isValid(n) || banZero && Fp.is0(n))
throw new Error(`bad point coordinate ${title}`);
return n;
}
function aprjpoint(other) {
if (!(other instanceof Point2))
throw new Error("ProjectivePoint expected");
}
const toAffineMemo = memoized((p, iz) => {
const { px: x, py: y, pz: z } = p;
if (Fp.eql(z, Fp.ONE))
return { x, y };
const is0 = p.is0();
if (iz == null)
iz = is0 ? Fp.ONE : Fp.inv(z);
const ax = Fp.mul(x, iz);
const ay = Fp.mul(y, iz);
const zz = Fp.mul(z, iz);
if (is0)
return { x: Fp.ZERO, y: Fp.ZERO };
if (!Fp.eql(zz, Fp.ONE))
throw new Error("invZ was invalid");
return { x: ax, y: ay };
});
const assertValidMemo = memoized((p) => {
if (p.is0()) {
if (curveOpts.allowInfinityPoint && !Fp.is0(p.py))
return;
throw new Error("bad point: ZERO");
}
const { x, y } = p.toAffine();
if (!Fp.isValid(x) || !Fp.isValid(y))
throw new Error("bad point: x or y not field elements");
if (!isValidXY(x, y))
throw new Error("bad point: equation left != right");
if (!p.isTorsionFree())
throw new Error("bad point: not in prime-order subgroup");
return true;
});
function finishEndo(endoBeta, k1p, k2p, k1neg, k2neg) {
k2p = new Point2(Fp.mul(k2p.px, endoBeta), k2p.py, k2p.pz);
k1p = negateCt(k1neg, k1p);
k2p = negateCt(k2neg, k2p);
return k1p.add(k2p);
}
class Point2 {
/** Does NOT validate if the point is valid. Use `.assertValidity()`. */
constructor(px, py, pz) {
this.px = acoord("x", px);
this.py = acoord("y", py, true);
this.pz = acoord("z", pz);
Object.freeze(this);
}
/** Does NOT validate if the point is valid. Use `.assertValidity()`. */
static fromAffine(p) {
const { x, y } = p || {};
if (!p || !Fp.isValid(x) || !Fp.isValid(y))
throw new Error("invalid affine point");
if (p instanceof Point2)
throw new Error("projective point not allowed");
if (Fp.is0(x) && Fp.is0(y))
return Point2.ZERO;
return new Point2(x, y, Fp.ONE);
}
get x() {
return this.toAffine().x;
}
get y() {
return this.toAffine().y;
}
static normalizeZ(points) {
return normalizeZ(Point2, "pz", points);
}
static fromBytes(bytes) {
abytes(bytes);
return Point2.fromHex(bytes);
}
/** Converts hash string or Uint8Array to Point. */
static fromHex(hex) {
const P = Point2.fromAffine(fromBytes(ensureBytes("pointHex", hex)));
P.assertValidity();
return P;
}
/** Multiplies generator point by privateKey. */
static fromPrivateKey(privateKey) {
const normPrivateKeyToScalar = _legacyHelperNormPriv(Fn, curveOpts.allowedPrivateKeyLengths, curveOpts.wrapPrivateKey);
return Point2.BASE.multiply(normPrivateKeyToScalar(privateKey));
}
/** Multiscalar Multiplication */
static msm(points, scalars) {
return pippenger(Point2, Fn, points, scalars);
}
/**
*
* @param windowSize
* @param isLazy true will defer table computation until the first multiplication
* @returns
*/
precompute(windowSize = 8, isLazy = true) {
wnaf.setWindowSize(this, windowSize);
if (!isLazy)
this.multiply(_3n2);
return this;
}
/** "Private method", don't use it directly */
_setWindowSize(windowSize) {
this.precompute(windowSize);
}
// TODO: return `this`
/** A point on curve is valid if it conforms to equation. */
assertValidity() {
assertValidMemo(this);
}
hasEvenY() {
const { y } = this.toAffine();
if (!Fp.isOdd)
throw new Error("Field doesn't support isOdd");
return !Fp.isOdd(y);
}
/** Compare one point to another. */
equals(other) {
aprjpoint(other);
const { px: X1, py: Y1, pz: Z1 } = this;
const { px: X2, py: Y2, pz: Z2 } = other;
const U1 = Fp.eql(Fp.mul(X1, Z2), Fp.mul(X2, Z1));
const U2 = Fp.eql(Fp.mul(Y1, Z2), Fp.mul(Y2, Z1));
return U1 && U2;
}
/** Flips point to one corresponding to (x, -y) in Affine coordinates. */
negate() {
return new Point2(this.px, Fp.neg(this.py), this.pz);
}
// Renes-Costello-Batina exception-free doubling formula.
// There is 30% faster Jacobian formula, but it is not complete.
// https://eprint.iacr.org/2015/1060, algorithm 3
// Cost: 8M + 3S + 3*a + 2*b3 + 15add.
double() {
const { a, b } = CURVE;
const b3 = Fp.mul(b, _3n2);
const { px: X1, py: Y1, pz: Z1 } = this;
let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO;
let t0 = Fp.mul(X1, X1);
let t1 = Fp.mul(Y1, Y1);
let t2 = Fp.mul(Z1, Z1);
let t3 = Fp.mul(X1, Y1);
t3 = Fp.add(t3, t3);
Z3 = Fp.mul(X1, Z1);
Z3 = Fp.add(Z3, Z3);
X3 = Fp.mul(a, Z3);
Y3 = Fp.mul(b3, t2);
Y3 = Fp.add(X3, Y3);
X3 = Fp.sub(t1, Y3);
Y3 = Fp.add(t1, Y3);
Y3 = Fp.mul(X3, Y3);
X3 = Fp.mul(t3, X3);
Z3 = Fp.mul(b3, Z3);
t2 = Fp.mul(a, t2);
t3 = Fp.sub(t0, t2);
t3 = Fp.mul(a, t3);
t3 = Fp.add(t3, Z3);
Z3 = Fp.add(t0, t0);
t0 = Fp.add(Z3, t0);
t0 = Fp.add(t0, t2);
t0 = Fp.mul(t0, t3);
Y3 = Fp.add(Y3, t0);
t2 = Fp.mul(Y1, Z1);
t2 = Fp.add(t2, t2);
t0 = Fp.mul(t2, t3);
X3 = Fp.sub(X3, t0);
Z3 = Fp.mul(t2, t1);
Z3 = Fp.add(Z3, Z3);
Z3 = Fp.add(Z3, Z3);
return new Point2(X3, Y3, Z3);
}
// Renes-Costello-Batina exception-free addition formula.
// There is 30% faster Jacobian formula, but it is not complete.
// https://eprint.iacr.org/2015/1060, algorithm 1
// Cost: 12M + 0S + 3*a + 3*b3 + 23add.
add(other) {
aprjpoint(other);
const { px: X1, py: Y1, pz: Z1 } = this;
const { px: X2, py: Y2, pz: Z2 } = other;
let X3 = Fp.ZERO, Y3 = Fp.ZERO, Z3 = Fp.ZERO;
const a = CURVE.a;
const b3 = Fp.mul(CURVE.b, _3n2);
let t0 = Fp.mul(X1, X2);
let t1 = Fp.mul(Y1, Y2);
let t2 = Fp.mul(Z1, Z2);
let t3 = Fp.add(X1, Y1);
let t4 = Fp.add(X2, Y2);
t3 = Fp.mul(t3, t4);
t4 = Fp.add(t0, t1);
t3 = Fp.sub(t3, t4);
t4 = Fp.add(X1, Z1);
let t5 = Fp.add(X2, Z2);
t4 = Fp.mul(t4, t5);
t5 = Fp.add(t0, t2);
t4 = Fp.sub(t4, t5);
t5 = Fp.add(Y1, Z1);
X3 = Fp.add(Y2, Z2);
t5 = Fp.mul(t5, X3);
X3 = Fp.add(t1, t2);
t5 = Fp.sub(t5, X3);
Z3 = Fp.mul(a, t4);
X3 = Fp.mul(b3, t2);
Z3 = Fp.add(X3, Z3);
X3 = Fp.sub(t1, Z3);
Z3 = Fp.add(t1, Z3);
Y3 = Fp.mul(X3, Z3);
t1 = Fp.add(t0, t0);
t1 = Fp.add(t1, t0);
t2 = Fp.mul(a, t2);
t4 = Fp.mul(b3, t4);
t1 = Fp.add(t1, t2);
t2 = Fp.sub(t0, t2);
t2 = Fp.mul(a, t2);
t4 = Fp.add(t4, t2);
t0 = Fp.mul(t1, t4);
Y3 = Fp.add(Y3, t0);
t0 = Fp.mul(t5, t4);
X3 = Fp.mul(t3, X3);
X3 = Fp.sub(X3, t0);
t0 = Fp.mul(t3, t1);
Z3 = Fp.mul(t5, Z3);
Z3 = Fp.add(Z3, t0);
return new Point2(X3, Y3, Z3);
}
subtract(other) {
return this.add(other.negate());
}
is0() {
return this.equals(Point2.ZERO);
}
/**
* Constant time multiplication.
* Uses wNAF method. Windowed method may be 10% faster,
* but takes 2x longer to generate and consumes 2x memory.
* Uses precomputes when available.
* Uses endomorphism for Koblitz curves.
* @param scalar by which the point would be multiplied
* @returns New point
*/
multiply(scalar) {
const { endo: endo2 } = curveOpts;
if (!Fn.isValidNot0(scalar))
throw new Error("invalid scalar: out of range");
let point, fake;
const mul = (n) => wnaf.wNAFCached(this, n, Point2.normalizeZ);
if (endo2) {
const { k1neg, k1, k2neg, k2 } = endo2.splitScalar(scalar);
const { p: k1p, f: k1f } = mul(k1);
const { p: k2p, f: k2f } = mul(k2);
fake = k1f.add(k2f);
point = finishEndo(endo2.beta, k1p, k2p, k1neg, k2neg);
} else {
const { p, f } = mul(scalar);
point = p;
fake = f;
}
return Point2.normalizeZ([point, fake])[0];
}
/**
* Non-constant-time multiplication. Uses double-and-add algorithm.
* It's faster, but should only be used when you don't care about
* an exposed private key e.g. sig verification, which works over *public* keys.
*/
multiplyUnsafe(sc) {
const { endo: endo2 } = curveOpts;
const p = this;
if (!Fn.isValid(sc))
throw new Error("invalid scalar: out of range");
if (sc === _0n3 || p.is0())
return Point2.ZERO;
if (sc === _1n3)
return p;
if (wnaf.hasPrecomputes(this))
return this.multiply(sc);
if (endo2) {
const { k1neg, k1, k2neg, k2 } = endo2.splitScalar(sc);
const { p1, p2 } = mulEndoUnsafe(Point2, p, k1, k2);
return finishEndo(endo2.beta, p1, p2, k1neg, k2neg);
} else {
return wnaf.wNAFCachedUnsafe(p, sc);
}
}
multiplyAndAddUnsafe(Q, a, b) {
const sum = this.multiplyUnsafe(a).add(Q.multiplyUnsafe(b));
return sum.is0() ? void 0 : sum;
}
/**
* Converts Projective point to affine (x, y) coordinates.
* @param invertedZ Z^-1 (inverted zero) - optional, precomputation is useful for invertBatch
*/
toAffine(invertedZ) {
return toAffineMemo(this, invertedZ);
}
/**
* Checks whether Point is free of torsion elements (is in prime subgroup).
* Always torsion-free for cofactor=1 curves.
*/
isTorsionFree() {
const { isTorsionFree } = curveOpts;
if (cofactor === _1n3)
return true;
if (isTorsionFree)
return isTorsionFree(Point2, this);
return wnaf.wNAFCachedUnsafe(this, CURVE_ORDER).is0();
}
clearCofactor() {
const { clearCofactor } = curveOpts;
if (cofactor === _1n3)
return this;
if (clearCofactor)
return clearCofactor(Point2, this);
return this.multiplyUnsafe(cofactor);
}
toBytes(isCompressed = true) {
abool("isCompressed", isCompressed);
this.assertValidity();
return toBytes2(Point2, this, isCompressed);
}
/** @deprecated use `toBytes` */
toRawBytes(isCompressed = true) {
return this.toBytes(isCompressed);
}
toHex(isCompressed = true) {
return bytesToHex(this.toBytes(isCompressed));
}
toString() {
return `<Point ${this.is0() ? "ZERO" : this.toHex()}>`;
}
}
Point2.BASE = new Point2(CURVE.Gx, CURVE.Gy, Fp.ONE);
Point2.ZERO = new Point2(Fp.ZERO, Fp.ONE, Fp.ZERO);
Point2.Fp = Fp;
Point2.Fn = Fn;
const bits = Fn.BITS;
const wnaf = wNAF(Point2, curveOpts.endo ? Math.ceil(bits / 2) : bits);
return Point2;
}
function pprefix(hasEvenY) {
return Uint8Array.of(hasEvenY ? 2 : 3);
}
function ecdsa(Point2, ecdsaOpts, curveOpts = {}) {
_validateObject(ecdsaOpts, { hash: "function" }, {
hmac: "function",
lowS: "boolean",
randomBytes: "function",
bits2int: "function",
bits2int_modN: "function"
});
const randomBytes_ = ecdsaOpts.randomBytes || randomBytes;
const hmac_ = ecdsaOpts.hmac || ((key, ...msgs) => hmac(ecdsaOpts.hash, key, concatBytes(...msgs)));
const { Fp, Fn } = Point2;
const { ORDER: CURVE_ORDER, BITS: fnBits } = Fn;
function isBiggerThanHalfOrder(number) {
const HALF = CURVE_ORDER >> _1n3;
return number > HALF;
}
function normalizeS(s) {
return isBiggerThanHalfOrder(s) ? Fn.neg(s) : s;
}
function aValidRS(title, num2) {
if (!Fn.isValidNot0(num2))
throw new Error(`invalid signature ${title}: out of range 1..CURVE.n`);
}
class Signature {
constructor(r, s, recovery) {
aValidRS("r", r);
aValidRS("s", s);
this.r = r;
this.s = s;
if (recovery != null)
this.recovery = recovery;
Object.freeze(this);
}
// pair (bytes of r, bytes of s)
static fromCompact(hex) {
const L = Fn.BYTES;
const b = ensureBytes("compactSignature", hex, L * 2);
return new Signature(Fn.fromBytes(b.subarray(0, L)), Fn.fromBytes(b.subarray(L, L * 2)));
}
// DER encoded ECDSA signature
// https://bitcoin.stackexchange.com/questions/57644/what-are-the-parts-of-a-bitcoin-transaction-input-script
static fromDER(hex) {
const { r, s } = DER.toSig(ensureBytes("DER", hex));
return new Signature(r, s);
}
/**
* @todo remove
* @deprecated
*/
assertValidity() {
}
addRecoveryBit(recovery) {
return new Signature(this.r, this.s, recovery);
}
// ProjPointType<bigint>
recoverPublicKey(msgHash) {
const FIELD_ORDER = Fp.ORDER;
const { r, s, recovery: rec } = this;
if (rec == null || ![0, 1, 2, 3].includes(rec))
throw new Error("recovery id invalid");
const hasCofactor = CURVE_ORDER * _2n2 < FIELD_ORDER;
if (hasCofactor && rec > 1)
throw new Error("recovery id is ambiguous for h>1 curve");
const radj = rec === 2 || rec === 3 ? r + CURVE_ORDER : r;
if (!Fp.isValid(radj))
throw new Error("recovery id 2 or 3 invalid");
const x = Fp.toBytes(radj);
const R = Point2.fromHex(concatBytes(pprefix((rec & 1) === 0), x));
const ir = Fn.inv(radj);
const h = bits2int_modN(ensureBytes("msgHash", msgHash));
const u1 = Fn.create(-h * ir);
const u2 = Fn.create(s * ir);
const Q = Point2.BASE.multiplyUnsafe(u1).add(R.multiplyUnsafe(u2));
if (Q.is0())
throw new Error("point at infinify");
Q.assertValidity();
return Q;
}
// Signatures should be low-s, to prevent malleability.
hasHighS() {
return isBiggerThanHalfOrder(this.s);
}
normalizeS() {
return this.hasHighS() ? new Signature(this.r, Fn.neg(this.s), this.recovery) : this;
}
toBytes(format) {
if (format === "compact")
return concatBytes(Fn.toBytes(this.r), Fn.toBytes(this.s));
if (format === "der")
return hexToBytes(DER.hexFromSig(this));
throw new Error("invalid format");
}
// DER-encoded
toDERRawBytes() {
return this.toBytes("der");
}
toDERHex() {
return bytesToHex(this.toBytes("der"));
}
// padded bytes of r, then padded bytes of s
toCompactRawBytes() {
return this.toBytes("compact");
}
toCompactHex() {
return bytesToHex(this.toBytes("compact"));
}
}
const normPrivateKeyToScalar = _legacyHelperNormPriv(Fn, curveOpts.allowedPrivateKeyLengths, curveOpts.wrapPrivateKey);
const utils = {
isValidPrivateKey(privateKey) {
try {
normPrivateKeyToScalar(privateKey);
return true;
} catch (error) {
return false;
}
},
normPrivateKeyToScalar,
/**
* Produces cryptographically secure private key from random of size
* (groupLen + ceil(groupLen / 2)) with modulo bias being negligible.
*/
randomPrivateKey: () => {
const n = CURVE_ORDER;
return mapHashToField(randomBytes_(getMinHashLength(n)), n);
},
precompute(windowSize = 8, point = Point2.BASE) {
return point.precompute(windowSize, false);
}
};
function getPublicKey(privateKey, isCompressed = true) {
return Point2.fromPrivateKey(privateKey).toBytes(isCompressed);
}
function isProbPub(item) {
if (typeof item === "bigint")
return false;
if (item instanceof Point2)
return true;
const arr = ensureBytes("key", item);
const length = arr.length;
const L = Fp.BYTES;
const LC = L + 1;
const LU = 2 * L + 1;
if (curveOpts.allowedPrivateKeyLengths || Fn.BYTES === LC) {
return void 0;
} else {
return length === LC || length === LU;
}
}
function getSharedSecret(privateA, publicB, isCompressed = true) {
if (isProbPub(privateA) === true)
throw new Error("first arg must be private key");
if (isProbPub(publicB) === false)
throw new Error("second arg must be public key");
const b = Point2.fromHex(publicB);
return b.multiply(normPrivateKeyToScalar(privateA)).toBytes(isCompressed);
}
const bits2int = ecdsaOpts.bits2int || function(bytes) {
if (bytes.length > 8192)
throw new Error("input is too large");
const num2 = bytesToNumberBE(bytes);
const delta = bytes.length * 8 - fnBits;
return delta > 0 ? num2 >> BigInt(delta) : num2;
};
const bits2int_modN = ecdsaOpts.bits2int_modN || function(bytes) {
return Fn.create(bits2int(bytes));
};
const ORDER_MASK = bitMask(fnBits);
function int2octets(num2) {
aInRange("num < 2^" + fnBits, num2, _0n3, ORDER_MASK);
return Fn.toBytes(num2);
}
function prepSig(msgHash, privateKey, opts = defaultSigOpts) {
if (["recovered", "canonical"].some((k) => k in opts))
throw new Error("sign() legacy options not supported");
const { hash } = ecdsaOpts;
let { lowS, prehash, extraEntropy: ent } = opts;
if (lowS == null)
lowS = true;
msgHash = ensureBytes("msgHash", msgHash);
validateSigVerOpts(opts);
if (prehash)
msgHash = ensureBytes("prehashed msgHash", hash(msgHash));
const h1int = bits2int_modN(msgHash);
const d = normPrivateKeyToScalar(privateKey);
const seedArgs = [int2octets(d), int2octets(h1int)];
if (ent != null && ent !== false) {
const e = ent === true ? randomBytes_(Fp.BYTES) : ent;
seedArgs.push(ensureBytes("extraEntropy", e));
}
const seed = concatBytes(...seedArgs);
const m = h1int;
function k2sig(kBytes) {
const k = bits2int(kBytes);
if (!Fn.isValidNot0(k))
return;
const ik = Fn.inv(k);
const q = Point2.BASE.multiply(k).toAffine();
const r = Fn.create(q.x);
if (r === _0n3)
return;
const s = Fn.create(ik * Fn.create(m + r * d));
if (s === _0n3)
return;
let recovery = (q.x === r ? 0 : 2) | Number(q.y & _1n3);
let normS = s;
if (lowS && isBiggerThanHalfOrder(s)) {
normS = normalizeS(s);
recovery ^= 1;
}
return new Signature(r, normS, recovery);
}
return { seed, k2sig };
}
const defaultSigOpts = { lowS: ecdsaOpts.lowS, prehash: false };
const defaultVerOpts = { lowS: ecdsaOpts.lowS, prehash: false };
function sign(msgHash, privKey, opts = defaultSigOpts) {
const { seed, k2sig } = prepSig(msgHash, privKey, opts);
const drbg = createHmacDrbg(ecdsaOpts.hash.outputLen, Fn.BYTES, hmac_);
return drbg(seed, k2sig);
}
Point2.BASE.precompute(8);
function verify(signature, msgHash, publicKey, opts = defaultVerOpts) {
const sg = signature;
msgHash = ensureBytes("msgHash", msgHash);
publicKey = ensureBytes("publicKey", publicKey);
validateSigVerOpts(opts);
const { lowS, prehash, format } = opts;
if ("strict" in opts)
throw new Error("options.strict was renamed to lowS");
if (format !== void 0 && !["compact", "der", "js"].includes(format))
throw new Error('format must be "compact", "der" or "js"');
const isHex = typeof sg === "string" || isBytes(sg);
const isObj = !isHex && !format && typeof sg === "object" && sg !== null && typeof sg.r === "bigint" && typeof sg.s === "bigint";
if (!isHex && !isObj)
throw new Error("invalid signature, expected Uint8Array, hex string or Signature instance");
let _sig = void 0;
let P;
try {
if (isObj) {
if (format === void 0 || format === "js") {
_sig = new Signature(sg.r, sg.s);
} else {
throw new Error("invalid format");
}
}
if (isHex) {
try {
if (format !== "compact")
_sig = Signature.fromDER(sg);
} catch (derError) {
if (!(derError instanceof DER.Err))
throw derError;
}
if (!_sig && format !== "der")
_sig = Signature.fromCompact(sg);
}
P = Point2.fromHex(publicKey);
} catch (error) {
return false;
}
if (!_sig)
return false;
if (lowS && _sig.hasHighS())
return false;
if (prehash)
msgHash = ecdsaOpts.hash(msgHash);
const { r, s } = _sig;
const h = bits2int_modN(msgHash);
const is = Fn.inv(s);
const u1 = Fn.create(h * is);
const u2 = Fn.create(r * is);
const R = Point2.BASE.multiplyUnsafe(u1).add(P.multiplyUnsafe(u2));
if (R.is0())
return false;
const v = Fn.create(R.x);
return v === r;
}
return Object.freeze({
getPublicKey,
getSharedSecret,
sign,
verify,
utils,
Point: Point2,
Signature
});
}
function _weierstrass_legacy_opts_to_new(c) {
const CURVE = {
a: c.a,
b: c.b,
p: c.Fp.ORDER,
n: c.n,
h: c.h,
Gx: c.Gx,
Gy: c.Gy
};
const Fp = c.Fp;
const Fn = Field(CURVE.n, c.nBitLength);
const curveOpts = {
Fp,
Fn,
allowedPrivateKeyLengths: c.allowedPrivateKeyLengths,
allowInfinityPoint: c.allowInfinityPoint,
endo: c.endo,
wrapPrivateKey: c.wrapPrivateKey,
isTorsionFree: c.isTorsionFree,
clearCofactor: c.clearCofactor,
fromBytes: c.fromBytes,
toBytes: c.toBytes
};
return { CURVE, curveOpts };
}
function _ecdsa_legacy_opts_to_new(c) {
const { CURVE, curveOpts } = _weierstrass_legacy_opts_to_new(c);
const ecdsaOpts = {
hash: c.hash,
hmac: c.hmac,
randomBytes: c.randomBytes,
lowS: c.lowS,
bits2int: c.bits2int,
bits2int_modN: c.bits2int_modN
};
return { CURVE, curveOpts, ecdsaOpts };
}
function _ecdsa_new_output_to_legacy(c, ecdsa2) {
return Object.assign({}, ecdsa2, {
ProjectivePoint: ecdsa2.Point,
CURVE: c
});
}
function weierstrass(c) {
const { CURVE, curveOpts, ecdsaOpts } = _ecdsa_legacy_opts_to_new(c);
const Point2 = weierstrassN(CURVE, curveOpts);
const signs = ecdsa(Point2, ecdsaOpts, curveOpts);
return _ecdsa_new_output_to_legacy(c, signs);
}
function SWUFpSqrtRatio(Fp, Z) {
const q = Fp.ORDER;
let l = _0n3;
for (let o = q - _1n3; o % _2n2 === _0n3; o /= _2n2)
l += _1n3;
const c1 = l;
const _2n_pow_c1_1 = _2n2 << c1 - _1n3 - _1n3;
const _2n_pow_c1 = _2n_pow_c1_1 * _2n2;
const c2 = (q - _1n3) / _2n_pow_c1;
const c3 = (c2 - _1n3) / _2n2;
const c4 = _2n_pow_c1 - _1n3;
const c5 = _2n_pow_c1_1;
const c6 = Fp.pow(Z, c2);
const c7 = Fp.pow(Z, (c2 + _1n3) / _2n2);
let sqrtRatio = (u, v) => {
let tv1 = c6;
let tv2 = Fp.pow(v, c4);
let tv3 = Fp.sqr(tv2);
tv3 = Fp.mul(tv3, v);
let tv5 = Fp.mul(u, tv3);
tv5 = Fp.pow(tv5, c3);
tv5 = Fp.mul(tv5, tv2);
tv2 = Fp.mul(tv5, v);
tv3 = Fp.mul(tv5, u);
let tv4 = Fp.mul(tv3, tv2);
tv5 = Fp.pow(tv4, c5);
let isQR = Fp.eql(tv5, Fp.ONE);
tv2 = Fp.mul(tv3, c7);
tv5 = Fp.mul(tv4, tv1);
tv3 = Fp.cmov(tv2, tv3, isQR);
tv4 = Fp.cmov(tv5, tv4, isQR);
for (let i = c1; i > _1n3; i--) {
let tv52 = i - _2n2;
tv52 = _2n2 << tv52 - _1n3;
let tvv5 = Fp.pow(tv4, tv52);
const e1 = Fp.eql(tvv5, Fp.ONE);
tv2 = Fp.mul(tv3, tv1);
tv1 = Fp.mul(tv1, tv1);
tvv5 = Fp.mul(tv4, tv1);
tv3 = Fp.cmov(tv2, tv3, e1);
tv4 = Fp.cmov(tvv5, tv4, e1);
}
return { isValid: isQR, value: tv3 };
};
if (Fp.ORDER % _4n2 === _3n2) {
const c12 = (Fp.ORDER - _3n2) / _4n2;
const c22 = Fp.sqrt(Fp.neg(Z));
sqrtRatio = (u, v) => {
let tv1 = Fp.sqr(v);
const tv2 = Fp.mul(u, v);
tv1 = Fp.mul(tv1, tv2);
let y1 = Fp.pow(tv1, c12);
y1 = Fp.mul(y1, tv2);
const y2 = Fp.mul(y1, c22);
const tv3 = Fp.mul(Fp.sqr(y1), v);
const isQR = Fp.eql(tv3, u);
let y = Fp.cmov(y2, y1, isQR);
return { isValid: isQR, value: y };
};
}
return sqrtRatio;
}
function mapToCurveSimpleSWU(Fp, opts) {
validateField(Fp);
const { A, B, Z } = opts;
if (!Fp.isValid(A) || !Fp.isValid(B) || !Fp.isValid(Z))
throw new Error("mapToCurveSimpleSWU: invalid opts");
const sqrtRatio = SWUFpSqrtRatio(Fp, Z);
if (!Fp.isOdd)
throw new Error("Field does not have .isOdd()");
return (u) => {
let tv1, tv2, tv3, tv4, tv5, tv6, x, y;
tv1 = Fp.sqr(u);
tv1 = Fp.mul(tv1, Z);
tv2 = Fp.sqr(tv1);
tv2 = Fp.add(tv2, tv1);
tv3 = Fp.add(tv2, Fp.ONE);
tv3 = Fp.mul(tv3, B);
tv4 = Fp.cmov(Z, Fp.neg(tv2), !Fp.eql(tv2, Fp.ZERO));
tv4 = Fp.mul(tv4, A);
tv2 = Fp.sqr(tv3);
tv6 = Fp.sqr(tv4);
tv5 = Fp.mul(tv6, A);
tv2 = Fp.add(tv2, tv5);
tv2 = Fp.mul(tv2, tv3);
tv6 = Fp.mul(tv6, tv4);
tv5 = Fp.mul(tv6, B);
tv2 = Fp.add(tv2, tv5);
x = Fp.mul(tv1, tv3);
const { isValid, value } = sqrtRatio(tv2, tv6);
y = Fp.mul(tv1, u);
y = Fp.mul(y, value);
x = Fp.cmov(x, tv3, isValid);
y = Fp.cmov(y, value, isValid);
const e1 = Fp.isOdd(u) === Fp.isOdd(y);
y = Fp.cmov(Fp.neg(y), y, e1);
const tv4_inv = FpInvertBatch(Fp, [tv4], true)[0];
x = Fp.mul(x, tv4_inv);
return { x, y };
};
}
// ../../node_modules/.pnpm/@noble+curves@1.9.2/node_modules/@noble/curves/esm/_shortw_utils.js
function createCurve(curveDef, defHash) {
const create = (hash) => weierstrass({ ...curveDef, hash });
return { ...create(defHash), create };
}
// ../../node_modules/.pnpm/@noble+curves@1.9.2/node_modules/@noble/curves/esm/abstract/hash-to-curve.js
var os2ip = bytesToNumberBE;
function i2osp(value, length) {
anum(value);
anum(length);
if (value < 0 || value >= 1 << 8 * length)
throw new Error("invalid I2OSP input: " + value);
const res = Array.from({ length }).fill(0);
for (let i = length - 1; i >= 0; i--) {
res[i] = value & 255;
value >>>= 8;
}
return new Uint8Array(res);
}
function strxor(a, b) {
const arr = new Uint8Array(a.length);
for (let i = 0; i < a.length; i++) {
arr[i] = a[i] ^ b[i];
}
return arr;
}
function anum(item) {
if (!Number.isSafeInteger(item))
throw new Error("number expected");
}
function expand_message_xmd(msg, DST, lenInBytes, H) {
abytes(msg);
abytes(DST);
anum(lenInBytes);
if (DST.length > 255)
DST = H(concatBytes(utf8ToBytes("H2C-OVERSIZE-DST-"), DST));
const { outputLen: b_in_bytes, blockLen: r_in_bytes } = H;
const ell = Math.ceil(lenInBytes / b_in_bytes);
if (lenInBytes > 65535 || ell > 255)
throw new Error("expand_message_xmd: invalid lenInBytes");
const DST_prime = concatBytes(DST, i2osp(DST.length, 1));
const Z_pad = i2osp(0, r_in_bytes);
const l_i_b_str = i2osp(lenInBytes, 2);
const b = new Array(ell);
const b_0 = H(concatBytes(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));
b[0] = H(concatBytes(b_0, i2osp(1, 1), DST_prime));
for (let i = 1; i <= ell; i++) {
const args = [strxor(b_0, b[i - 1]), i2osp(i + 1, 1), DST_prime];
b[i] = H(concatBytes(...args));
}
const pseudo_random_bytes = concatBytes(...b);
return pseudo_random_bytes.slice(0, lenInBytes);
}
function expand_message_xof(msg, DST, lenInBytes, k, H) {
abytes(msg);
abytes(DST);
anum(lenInBytes);
if (DST.length > 255) {
const dkLen = Math.ceil(2 * k / 8);
DST = H.create({ dkLen }).update(utf8ToBytes("H2C-OVERSIZE-DST-")).update(DST).digest();
}
if (lenInBytes > 65535 || DST.length > 255)
throw new Error("expand_message_xof: invalid lenInBytes");
return H.create({ dkLen: lenInBytes }).update(msg).update(i2osp(lenInBytes, 2)).update(DST).update(i2osp(DST.length, 1)).digest();
}
function hash_to_field(msg, count, options) {
_validateObject(options, {
p: "bigint",
m: "number",
k: "number",
hash: "function"
});
const { p, k, m, hash, expand, DST: _DST } = options;
if (!isBytes(_DST) && typeof _DST !== "string")
throw new Error("DST must be string or uint8array");
if (!isHash(options.hash))
throw new Error("expected valid hash");
abytes(msg);
anum(count);
const DST = typeof _DST === "string" ? utf8ToBytes(_DST) : _DST;
const log2p = p.toString(2).length;
const L = Math.ceil((log2p + k) / 8);
const len_in_bytes = count * m * L;
let prb;
if (expand === "xmd") {
prb = expand_message_xmd(msg, DST, len_in_bytes, hash);
} else if (expand === "xof") {
prb = expand_message_xof(msg, DST, len_in_bytes, k, hash);
} else if (expand === "_internal_pass") {
prb = msg;
} else {
throw new Error('expand must be "xmd" or "xof"');
}
const u = new Array(count);
for (let i = 0; i < count; i++) {
const e = new Array(m);
for (let j = 0; j < m; j++) {
const elm_offset = L * (j + i * m);
const tv = prb.subarray(elm_offset, elm_offset + L);
e[j] = mod(os2ip(tv), p);
}
u[i] = e;
}
return u;
}
function isogenyMap(field, map) {
const coeff = map.map((i) => Array.from(i).reverse());
return (x, y) => {
const [xn, xd, yn, yd] = coeff.map((val) => val.reduce((acc, i) => field.add(field.mul(acc, x), i)));
const [xd_inv, yd_inv] = FpInvertBatch(field, [xd, yd], true);
x = field.mul(xn, xd_inv);
y = field.mul(y, field.mul(yn, yd_inv));
return { x, y };
};
}
function createHasher2(Point2, mapToCurve, defaults) {
if (typeof mapToCurve !== "function")
throw new Error("mapToCurve() must be defined");
function map(num2) {
return Point2.fromAffine(mapToCurve(num2));
}
function clear(initial) {
const P = initial.clearCofactor();
if (P.equals(Point2.ZERO))
return Point2.ZERO;
P.assertValidity();
return P;
}
return {
defaults,
hashToCurve(msg, options) {
const dst = defaults.DST ? defaults.DST : {};
const opts = Object.assign({}, defaults, dst, options);
const u = hash_to_field(msg, 2, opts);
const u0 = map(u[0]);
const u1 = map(u[1]);
return clear(u0.add(u1));
},
encodeToCurve(msg, options) {
const dst = defaults.encodeDST ? defaults.encodeDST : {};
const opts = Object.assign({}, defaults, dst, options);
const u = hash_to_field(msg, 1, opts);
return clear(map(u[0]));
},
/** See {@link H2CHasher} */
mapToCurve(scalars) {
if (!Array.isArray(scalars))
throw new Error("expected array of bigints");
for (const i of scalars)
if (typeof i !== "bigint")
throw new Error("expected array of bigints");
return clear(map(scalars));
}
};
}
// ../../node_modules/.pnpm/@noble+curves@1.9.2/node_modules/@noble/curves/esm/secp256k1.js
var secp256k1_CURVE = {
p: BigInt("0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"),
n: BigInt("0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141"),
h: BigInt(1),
a: BigInt(0),
b: BigInt(7),
Gx: BigInt("0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798"),
Gy: BigInt("0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8")
};
var _0n4 = BigInt(0);
var _1n4 = BigInt(1);
var _2n3 = BigInt(2);
var divNearest = (a, b) => (a + b / _2n3) / b;
function sqrtMod(y) {
const P = secp256k1_CURVE.p;
const _3n3 = BigInt(3), _6n = BigInt(6), _11n = BigInt(11), _22n = BigInt(22);
const _23n = BigInt(23), _44n = BigInt(44), _88n = BigInt(88);
const b2 = y * y * y % P;
const b3 = b2 * b2 * y % P;
const b6 = pow2(b3, _3n3, P) * b3 % P;
const b9 = pow2(b6, _3n3, P) * b3 % P;
const b11 = pow2(b9, _2n3, P) * b2 % P;
const b22 = pow2(b11, _11n, P) * b11 % P;
const b44 = pow2(b22, _22n, P) * b22 % P;
const b88 = pow2(b44, _44n, P) * b44 % P;
const b176 = pow2(b88, _88n, P) * b88 % P;
const b220 = pow2(b176, _44n, P) * b44 % P;
const b223 = pow2(b220, _3n3, P) * b3 % P;
const t1 = pow2(b223, _23n, P) * b22 % P;
const t2 = pow2(t1, _6n, P) * b2 % P;
const root = pow2(t2, _2n3, P);
if (!Fpk1.eql(Fpk1.sqr(root), y))
throw new Error("Cannot find square root");
return root;
}
var Fpk1 = Field(secp256k1_CURVE.p, void 0, void 0, { sqrt: sqrtMod });
var secp256k1 = createCurve({
...secp256k1_CURVE,
Fp: Fpk1,
lowS: true,
// Allow only low-S signatures by default in sign() and verify()
endo: {
// Endomorphism, see above
beta: BigInt("0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee"),
splitScalar: (k) => {
const n = secp256k1_CURVE.n;
const a1 = BigInt("0x3086d221a7d46bcde86c90e49284eb15");
const b1 = -_1n4 * BigInt("0xe4437ed6010e88286f547fa90abfe4c3");
const a2 = BigInt("0x114ca50f7a8e2f3f657c1108d9d44cfd8");
const b2 = a1;
const POW_2_128 = BigInt("0x100000000000000000000000000000000");
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("splitScalar: Endomorphism failed, k=" + k);
}
return { k1neg, k1, k2neg, k2 };
}
}
}, sha256);
var TAGGED_HASH_PREFIXES = {};
function taggedHash(tag, ...messages) {
let tagP = TAGGED_HASH_PREFIXES[tag];
if (tagP === void 0) {
const tagH = sha256(Uint8Array.from(tag, (c) => c.charCodeAt(0)));
tagP = concatBytes(tagH, tagH);
TAGGED_HASH_PREFIXES[tag] = tagP;
}
return sha256(concatBytes(tagP, ...messages));
}
var pointToBytes = (point) => point.toBytes(true).slice(1);
var numTo32b = (n) => numberToBytesBE(n, 32);
var modP = (x) => mod(x, secp256k1_CURVE.p);
var modN = (x) => mod(x, secp256k1_CURVE.n);
var Point = /* @__PURE__ */ (() => secp256k1.Point)();
var hasEven = (y) => y % _2n3 === _0n4;
function schnorrGetExtPubKey(priv) {
let d_ = secp256k1.utils.normPrivateKeyToScalar(priv);
let p = Point.fromPrivateKey(d_);
const scalar = hasEven(p.y) ? d_ : modN(-d_);
return { scalar, bytes: pointToBytes(p) };
}
function lift_x(x) {
aInRange("x", x, _1n4, secp256k1_CURVE.p);
const xx = modP(x * x);
const c = modP(xx * x + BigInt(7));
let y = sqrtMod(c);
if (!hasEven(y))
y = modP(-y);
const p = Point.fromAffine({ x, y });
p.assertValidity();
return p;
}
var num = bytesToNumberBE;
function challenge(...args) {
return modN(num(taggedHash("BIP0340/challenge", ...args)));
}
function schnorrGetPublicKey(privateKey) {
return schnorrGetExtPubKey(privateKey).bytes;
}
function schnorrSign(message, privateKey, auxRand = randomBytes(32)) {
const m = ensureBytes("message", message);
const { bytes: px, scalar: d } = schnorrGetExtPubKey(privateKey);
const a = ensureBytes("auxRand", auxRand, 32);
const t = numTo32b(d ^ num(taggedHash("BIP0340/aux", a)));
const rand = taggedHash("BIP0340/nonce", t, px, m);
const k_ = modN(num(rand));
if (k_ === _0n4)
throw new Error("sign failed: k is zero");
const { bytes: rx, scalar: k } = schnorrGetExtPubKey(k_);
const e = challenge(rx, px, m);
const sig = new Uint8Array(64);
sig.set(rx, 0);
sig.set(numTo32b(modN(k + e * d)), 32);
if (!schnorrVerify(sig, m, px))
throw new Error("sign: Invalid signature produced");
return sig;
}
function schnorrVerify(signature, message, publicKey) {
const sig = ensureBytes("signature", signature, 64);
const m = ensureBytes("message", message);
const pub = ensureBytes("publicKey", publicKey, 32);
try {
const P = lift_x(num(pub));
const r = num(sig.subarray(0, 32));
if (!inRange(r, _1n4, secp256k1_CURVE.p))
return false;
const s = num(sig.subarray(32, 64));
if (!inRange(s, _1n4, secp256k1_CURVE.n))
return false;
const e = challenge(numTo32b(r), pointToBytes(P), m);
const R = Point.BASE.multiplyUnsafe(s).add(P.multiplyUnsafe(modN(-e)));
const { x, y } = R.toAffine();
if (R.is0() || !hasEven(y) || x !== r)
return false;
return true;
} catch (error) {
return false;
}
}
var schnorr = /* @__PURE__ */ (() => ({
getPublicKey: schnorrGetPublicKey,
sign: schnorrSign,
verify: schnorrVerify,
utils: {
randomPrivateKey: secp256k1.utils.randomPrivateKey,
lift_x,
pointToBytes,
numberToBytesBE,
bytesToNumberBE,
taggedHash,
mod
}
}))();
var isoMap = /* @__PURE__ */ (() => isogenyMap(Fpk1, [
// xNum
[
"0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa8c7",
"0x7d3d4c80bc321d5b9f315cea7fd44c5d595d2fc0bf63b92dfff1044f17c6581",
"0x534c328d23f234e6e2a413deca25caece4506144037c40314ecbd0b53d9dd262",
"0x8e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38e38daaaaa88c"
],
// xDen
[
"0xd35771193d94918a9ca34ccbb7b640dd86cd409542f8487d9fe6b745781eb49b",
"0xedadc6f64383dc1df7c4b2d51b54225406d36b641f5e41bbc52a56612a8c6d14",
"0x0000000000000000000000000000000000000000000000000000000000000001"
// LAST 1
],
// yNum
[
"0x4bda12f684bda12f684bda12f684bda12f684bda12f684bda12f684b8e38e23c",
"0xc75e0c32d5cb7c0fa9d0a54b12a0a6d5647ab046d686da6fdffc90fc201d71a3",
"0x29a6194691f91a73715209ef6512e576722830a201be2018a765e85a9ecee931",
"0x2f684bda12f684bda12f684bda12f684bda12f684bda12f684bda12f38e38d84"
],
// yDen
[
"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffff93b",
"0x7a06534bb8bdb49fd5e9e6632722c2989467c1bfc8e8d978dfb425d2685c2573",
"0x6484aa716545ca2cf3a70c3fa8fe337e0a3d21162f0d6299a7bf8192bfd2a76f",
"0x0000000000000000000000000000000000000000000000000000000000000001"
// LAST 1
]
].map((i) => i.map((j) => BigInt(j)))))();
var mapSWU = /* @__PURE__ */ (() => mapToCurveSimpleSWU(Fpk1, {
A: BigInt("0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533"),
B: BigInt("1771"),
Z: Fpk1.create(BigInt("-11"))
}))();
var secp256k1_hasher = /* @__PURE__ */ (() => createHasher2(secp256k1.Point, (scalars) => {
const { x, y } = mapSWU(Fpk1.create(scalars[0]));
return isoMap(x, y);
}, {
DST: "secp256k1_XMD:SHA-256_SSWU_RO_",
encodeDST: "secp256k1_XMD:SHA-256_SSWU_NU_",
p: Fpk1.ORDER,
m: 1,
k: 128,
expand: "xmd",
hash: sha256
}))();
var hashToCurve = /* @__PURE__ */ (() => secp256k1_hasher.hashToCurve)();
var encodeToCurve = /* @__PURE__ */ (() => secp256k1_hasher.encodeToCurve)();
export {
sha256,
secp256k1,
schnorr,
secp256k1_hasher,
hashToCurve,
encodeToCurve
};
/*! Bundled license information:
@noble/curves/esm/abstract/modular.js:
@noble/curves/esm/abstract/curve.js:
@noble/curves/esm/abstract/weierstrass.js:
@noble/curves/esm/_shortw_utils.js:
@noble/curves/esm/secp256k1.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
*/