@etherspot/remote-signer
Version:
Etherspot Permissioned Signer SDK - signs the UserOp with SessionKey and sends it to the Bundler
2,225 lines • 69.8 kB
JavaScript
import {
Hash,
bytes,
concatBytes,
createView,
exists,
hash,
output,
randomBytes,
rotr,
toBytes,
wrapConstructor
} from "./chunk-ZAJP3MQW.mjs";
import {
__export
} from "./chunk-W3I6WR3Q.mjs";
// node_modules/@noble/hashes/esm/_sha2.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);
}
var SHA2 = class extends Hash {
constructor(blockLen, outputLen, padOffset, isLE) {
super();
this.blockLen = blockLen;
this.outputLen = outputLen;
this.padOffset = padOffset;
this.isLE = isLE;
this.finished = false;
this.length = 0;
this.pos = 0;
this.destroyed = false;
this.buffer = new Uint8Array(blockLen);
this.view = createView(this.buffer);
}
update(data) {
exists(this);
const { view, buffer, blockLen } = this;
data = toBytes(data);
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) {
exists(this);
output(out, this);
this.finished = true;
const { buffer, view, blockLen, isLE } = this;
let { pos } = this;
buffer[pos++] = 128;
this.buffer.subarray(pos).fill(0);
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.length = length;
to.pos = pos;
to.finished = finished;
to.destroyed = destroyed;
if (length % blockLen)
to.buffer.set(buffer);
return to;
}
};
// node_modules/@noble/hashes/esm/sha256.js
var Chi = (a, b, c) => a & b ^ ~a & c;
var Maj = (a, b, c) => a & b ^ a & c ^ b & c;
var SHA256_K = /* @__PURE__ */ new Uint32Array([
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 IV = /* @__PURE__ */ new Uint32Array([
1779033703,
3144134277,
1013904242,
2773480762,
1359893119,
2600822924,
528734635,
1541459225
]);
var SHA256_W = /* @__PURE__ */ new Uint32Array(64);
var SHA256 = class extends SHA2 {
constructor() {
super(64, 32, 8, false);
this.A = IV[0] | 0;
this.B = IV[1] | 0;
this.C = IV[2] | 0;
this.D = IV[3] | 0;
this.E = IV[4] | 0;
this.F = IV[5] | 0;
this.G = IV[6] | 0;
this.H = 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() {
SHA256_W.fill(0);
}
destroy() {
this.set(0, 0, 0, 0, 0, 0, 0, 0);
this.buffer.fill(0);
}
};
var sha256 = /* @__PURE__ */ wrapConstructor(() => new SHA256());
// node_modules/@noble/curves/esm/abstract/utils.js
var utils_exports = {};
__export(utils_exports, {
bitGet: () => bitGet,
bitLen: () => bitLen,
bitMask: () => bitMask,
bitSet: () => bitSet,
bytesToHex: () => bytesToHex,
bytesToNumberBE: () => bytesToNumberBE,
bytesToNumberLE: () => bytesToNumberLE,
concatBytes: () => concatBytes2,
createHmacDrbg: () => createHmacDrbg,
ensureBytes: () => ensureBytes,
equalBytes: () => equalBytes,
hexToBytes: () => hexToBytes,
hexToNumber: () => hexToNumber,
numberToBytesBE: () => numberToBytesBE,
numberToBytesLE: () => numberToBytesLE,
numberToHexUnpadded: () => numberToHexUnpadded,
numberToVarBytesBE: () => numberToVarBytesBE,
utf8ToBytes: () => utf8ToBytes,
validateObject: () => validateObject
});
var _0n = BigInt(0);
var _1n = BigInt(1);
var _2n = BigInt(2);
var u8a = (a) => a instanceof Uint8Array;
var hexes = /* @__PURE__ */ Array.from({ length: 256 }, (_, i) => i.toString(16).padStart(2, "0"));
function bytesToHex(bytes2) {
if (!u8a(bytes2))
throw new Error("Uint8Array expected");
let hex = "";
for (let i = 0; i < bytes2.length; i++) {
hex += hexes[bytes2[i]];
}
return hex;
}
function numberToHexUnpadded(num) {
const hex = num.toString(16);
return hex.length & 1 ? `0${hex}` : hex;
}
function hexToNumber(hex) {
if (typeof hex !== "string")
throw new Error("hex string expected, got " + typeof hex);
return BigInt(hex === "" ? "0" : `0x${hex}`);
}
function hexToBytes(hex) {
if (typeof hex !== "string")
throw new Error("hex string expected, got " + typeof hex);
const len = hex.length;
if (len % 2)
throw new Error("padded hex string expected, got unpadded hex of length " + len);
const array = new Uint8Array(len / 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 bytesToNumberBE(bytes2) {
return hexToNumber(bytesToHex(bytes2));
}
function bytesToNumberLE(bytes2) {
if (!u8a(bytes2))
throw new Error("Uint8Array expected");
return hexToNumber(bytesToHex(Uint8Array.from(bytes2).reverse()));
}
function numberToBytesBE(n, len) {
return hexToBytes(n.toString(16).padStart(len * 2, "0"));
}
function numberToBytesLE(n, len) {
return numberToBytesBE(n, len).reverse();
}
function numberToVarBytesBE(n) {
return hexToBytes(numberToHexUnpadded(n));
}
function ensureBytes(title, hex, expectedLength) {
let res;
if (typeof hex === "string") {
try {
res = hexToBytes(hex);
} catch (e) {
throw new Error(`${title} must be valid hex string, got "${hex}". Cause: ${e}`);
}
} else if (u8a(hex)) {
res = Uint8Array.from(hex);
} else {
throw new Error(`${title} must be hex string or Uint8Array`);
}
const len = res.length;
if (typeof expectedLength === "number" && len !== expectedLength)
throw new Error(`${title} expected ${expectedLength} bytes, got ${len}`);
return res;
}
function concatBytes2(...arrays) {
const r = new Uint8Array(arrays.reduce((sum, a) => sum + a.length, 0));
let pad = 0;
arrays.forEach((a) => {
if (!u8a(a))
throw new Error("Uint8Array expected");
r.set(a, pad);
pad += a.length;
});
return r;
}
function equalBytes(b1, b2) {
if (b1.length !== b2.length)
return false;
for (let i = 0; i < b1.length; i++)
if (b1[i] !== b2[i])
return false;
return true;
}
function utf8ToBytes(str) {
if (typeof str !== "string")
throw new Error(`utf8ToBytes expected string, got ${typeof str}`);
return new Uint8Array(new TextEncoder().encode(str));
}
function bitLen(n) {
let len;
for (len = 0; n > _0n; n >>= _1n, len += 1)
;
return len;
}
function bitGet(n, pos) {
return n >> BigInt(pos) & _1n;
}
var bitSet = (n, pos, value) => {
return n | (value ? _1n : _0n) << BigInt(pos);
};
var bitMask = (n) => (_2n << BigInt(n - 1)) - _1n;
var u8n = (data) => new Uint8Array(data);
var u8fr = (arr) => Uint8Array.from(arr);
function createHmacDrbg(hashLen, qByteLen, hmacFn) {
if (typeof hashLen !== "number" || hashLen < 2)
throw new Error("hashLen must be a number");
if (typeof qByteLen !== "number" || qByteLen < 2)
throw new Error("qByteLen must be a number");
if (typeof hmacFn !== "function")
throw new Error("hmacFn must be a function");
let v = u8n(hashLen);
let k = u8n(hashLen);
let i = 0;
const reset = () => {
v.fill(1);
k.fill(0);
i = 0;
};
const h = (...b) => hmacFn(k, v, ...b);
const reseed = (seed = u8n()) => {
k = h(u8fr([0]), seed);
v = h();
if (seed.length === 0)
return;
k = h(u8fr([1]), seed);
v = h();
};
const gen = () => {
if (i++ >= 1e3)
throw new Error("drbg: tried 1000 values");
let len = 0;
const out = [];
while (len < qByteLen) {
v = h();
const sl = v.slice();
out.push(sl);
len += v.length;
}
return concatBytes2(...out);
};
const genUntil = (seed, pred) => {
reset();
reseed(seed);
let res = void 0;
while (!(res = pred(gen())))
reseed();
reset();
return res;
};
return genUntil;
}
var validatorFns = {
bigint: (val) => typeof val === "bigint",
function: (val) => typeof val === "function",
boolean: (val) => typeof val === "boolean",
string: (val) => typeof val === "string",
stringOrUint8Array: (val) => typeof val === "string" || val instanceof Uint8Array,
isSafeInteger: (val) => Number.isSafeInteger(val),
array: (val) => Array.isArray(val),
field: (val, object) => object.Fp.isValid(val),
hash: (val) => typeof val === "function" && Number.isSafeInteger(val.outputLen)
};
function validateObject(object, validators, optValidators = {}) {
const checkField = (fieldName, type, isOptional) => {
const checkVal = validatorFns[type];
if (typeof checkVal !== "function")
throw new Error(`Invalid validator "${type}", expected function`);
const val = object[fieldName];
if (isOptional && val === void 0)
return;
if (!checkVal(val, object)) {
throw new Error(`Invalid param ${String(fieldName)}=${val} (${typeof val}), expected ${type}`);
}
};
for (const [fieldName, type] of Object.entries(validators))
checkField(fieldName, type, false);
for (const [fieldName, type] of Object.entries(optValidators))
checkField(fieldName, type, true);
return object;
}
// node_modules/@noble/curves/esm/abstract/modular.js
var _0n2 = BigInt(0);
var _1n2 = BigInt(1);
var _2n2 = BigInt(2);
var _3n = BigInt(3);
var _4n = BigInt(4);
var _5n = BigInt(5);
var _8n = BigInt(8);
var _9n = BigInt(9);
var _16n = BigInt(16);
function mod(a, b) {
const result = a % b;
return result >= _0n2 ? result : b + result;
}
function pow(num, power, modulo) {
if (modulo <= _0n2 || power < _0n2)
throw new Error("Expected power/modulo > 0");
if (modulo === _1n2)
return _0n2;
let res = _1n2;
while (power > _0n2) {
if (power & _1n2)
res = res * num % modulo;
num = num * num % modulo;
power >>= _1n2;
}
return res;
}
function pow2(x, power, modulo) {
let res = x;
while (power-- > _0n2) {
res *= res;
res %= modulo;
}
return res;
}
function invert(number, modulo) {
if (number === _0n2 || modulo <= _0n2) {
throw new Error(`invert: expected positive integers, got n=${number} mod=${modulo}`);
}
let a = mod(number, modulo);
let b = modulo;
let x = _0n2, y = _1n2, u = _1n2, v = _0n2;
while (a !== _0n2) {
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 !== _1n2)
throw new Error("invert: does not exist");
return mod(x, modulo);
}
function tonelliShanks(P) {
const legendreC = (P - _1n2) / _2n2;
let Q, S, Z;
for (Q = P - _1n2, S = 0; Q % _2n2 === _0n2; Q /= _2n2, S++)
;
for (Z = _2n2; Z < P && pow(Z, legendreC, P) !== P - _1n2; Z++)
;
if (S === 1) {
const p1div4 = (P + _1n2) / _4n;
return function tonelliFast(Fp2, n) {
const root = Fp2.pow(n, p1div4);
if (!Fp2.eql(Fp2.sqr(root), n))
throw new Error("Cannot find square root");
return root;
};
}
const Q1div2 = (Q + _1n2) / _2n2;
return function tonelliSlow(Fp2, n) {
if (Fp2.pow(n, legendreC) === Fp2.neg(Fp2.ONE))
throw new Error("Cannot find square root");
let r = S;
let g = Fp2.pow(Fp2.mul(Fp2.ONE, Z), Q);
let x = Fp2.pow(n, Q1div2);
let b = Fp2.pow(n, Q);
while (!Fp2.eql(b, Fp2.ONE)) {
if (Fp2.eql(b, Fp2.ZERO))
return Fp2.ZERO;
let m = 1;
for (let t2 = Fp2.sqr(b); m < r; m++) {
if (Fp2.eql(t2, Fp2.ONE))
break;
t2 = Fp2.sqr(t2);
}
const ge2 = Fp2.pow(g, _1n2 << BigInt(r - m - 1));
g = Fp2.sqr(ge2);
x = Fp2.mul(x, ge2);
b = Fp2.mul(b, g);
r = m;
}
return x;
};
}
function FpSqrt(P) {
if (P % _4n === _3n) {
const p1div4 = (P + _1n2) / _4n;
return function sqrt3mod4(Fp2, n) {
const root = Fp2.pow(n, p1div4);
if (!Fp2.eql(Fp2.sqr(root), n))
throw new Error("Cannot find square root");
return root;
};
}
if (P % _8n === _5n) {
const c1 = (P - _5n) / _8n;
return function sqrt5mod8(Fp2, n) {
const n2 = Fp2.mul(n, _2n2);
const v = Fp2.pow(n2, c1);
const nv = Fp2.mul(n, v);
const i = Fp2.mul(Fp2.mul(nv, _2n2), v);
const root = Fp2.mul(nv, Fp2.sub(i, Fp2.ONE));
if (!Fp2.eql(Fp2.sqr(root), n))
throw new Error("Cannot find square root");
return root;
};
}
if (P % _16n === _9n) {
}
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: "isSafeInteger",
BITS: "isSafeInteger"
};
const opts = FIELD_FIELDS.reduce((map, val) => {
map[val] = "function";
return map;
}, initial);
return validateObject(field, opts);
}
function FpPow(f, num, power) {
if (power < _0n2)
throw new Error("Expected power > 0");
if (power === _0n2)
return f.ONE;
if (power === _1n2)
return num;
let p = f.ONE;
let d = num;
while (power > _0n2) {
if (power & _1n2)
p = f.mul(p, d);
d = f.sqr(d);
power >>= _1n2;
}
return p;
}
function FpInvertBatch(f, nums) {
const tmp = new Array(nums.length);
const lastMultiplied = nums.reduce((acc, num, i) => {
if (f.is0(num))
return acc;
tmp[i] = acc;
return f.mul(acc, num);
}, f.ONE);
const inverted = f.inv(lastMultiplied);
nums.reduceRight((acc, num, i) => {
if (f.is0(num))
return acc;
tmp[i] = f.mul(acc, tmp[i]);
return f.mul(acc, num);
}, inverted);
return tmp;
}
function nLength(n, nBitLength) {
const _nBitLength = nBitLength !== void 0 ? nBitLength : n.toString(2).length;
const nByteLength = Math.ceil(_nBitLength / 8);
return { nBitLength: _nBitLength, nByteLength };
}
function Field(ORDER, bitLen2, isLE = false, redef = {}) {
if (ORDER <= _0n2)
throw new Error(`Expected Field ORDER > 0, got ${ORDER}`);
const { nBitLength: BITS, nByteLength: BYTES } = nLength(ORDER, bitLen2);
if (BYTES > 2048)
throw new Error("Field lengths over 2048 bytes are not supported");
const sqrtP = FpSqrt(ORDER);
const f = Object.freeze({
ORDER,
BITS,
BYTES,
MASK: bitMask(BITS),
ZERO: _0n2,
ONE: _1n2,
create: (num) => mod(num, ORDER),
isValid: (num) => {
if (typeof num !== "bigint")
throw new Error(`Invalid field element: expected bigint, got ${typeof num}`);
return _0n2 <= num && num < ORDER;
},
is0: (num) => num === _0n2,
isOdd: (num) => (num & _1n2) === _1n2,
neg: (num) => mod(-num, ORDER),
eql: (lhs, rhs) => lhs === rhs,
sqr: (num) => mod(num * num, ORDER),
add: (lhs, rhs) => mod(lhs + rhs, ORDER),
sub: (lhs, rhs) => mod(lhs - rhs, ORDER),
mul: (lhs, rhs) => mod(lhs * rhs, ORDER),
pow: (num, power) => FpPow(f, num, power),
div: (lhs, rhs) => mod(lhs * invert(rhs, ORDER), ORDER),
// Same as above, but doesn't normalize
sqrN: (num) => num * num,
addN: (lhs, rhs) => lhs + rhs,
subN: (lhs, rhs) => lhs - rhs,
mulN: (lhs, rhs) => lhs * rhs,
inv: (num) => invert(num, ORDER),
sqrt: redef.sqrt || ((n) => sqrtP(f, n)),
invertBatch: (lst) => FpInvertBatch(f, lst),
// TODO: do we really need constant cmov?
// We don't have const-time bigints anyway, so probably will be not very useful
cmov: (a, b, c) => c ? b : a,
toBytes: (num) => isLE ? numberToBytesLE(num, BYTES) : numberToBytesBE(num, BYTES),
fromBytes: (bytes2) => {
if (bytes2.length !== BYTES)
throw new Error(`Fp.fromBytes: expected ${BYTES}, got ${bytes2.length}`);
return isLE ? bytesToNumberLE(bytes2) : bytesToNumberBE(bytes2);
}
});
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 num = isLE ? bytesToNumberBE(key) : bytesToNumberLE(key);
const reduced = mod(num, fieldOrder - _1n2) + _1n2;
return isLE ? numberToBytesLE(reduced, fieldLen) : numberToBytesBE(reduced, fieldLen);
}
// node_modules/@noble/curves/esm/abstract/curve.js
var _0n3 = BigInt(0);
var _1n3 = BigInt(1);
function wNAF(c, bits) {
const constTimeNegate = (condition, item) => {
const neg = item.negate();
return condition ? neg : item;
};
const opts = (W) => {
const windows = Math.ceil(bits / W) + 1;
const windowSize = 2 ** (W - 1);
return { windows, windowSize };
};
return {
constTimeNegate,
// non-const time multiplication ladder
unsafeLadder(elm, n) {
let p = c.ZERO;
let d = elm;
while (n > _0n3) {
if (n & _1n3)
p = p.add(d);
d = d.double();
n >>= _1n3;
}
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.
* @returns precomputed point tables flattened to a single array
*/
precomputeWindow(elm, W) {
const { windows, windowSize } = opts(W);
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) {
const { windows, windowSize } = opts(W);
let p = c.ZERO;
let f = c.BASE;
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 += _1n3;
}
const offset1 = offset;
const offset2 = offset + Math.abs(wbits) - 1;
const cond1 = window % 2 !== 0;
const cond2 = wbits < 0;
if (wbits === 0) {
f = f.add(constTimeNegate(cond1, precomputes[offset1]));
} else {
p = p.add(constTimeNegate(cond2, precomputes[offset2]));
}
}
return { p, f };
},
wNAFCached(P, precomputesMap, n, transform) {
const W = P._WINDOW_SIZE || 1;
let comp = precomputesMap.get(P);
if (!comp) {
comp = this.precomputeWindow(P, W);
if (W !== 1) {
precomputesMap.set(P, transform(comp));
}
}
return this.wNAF(W, comp, n);
}
};
}
function validateBasic(curve) {
validateField(curve.Fp);
validateObject(curve, {
n: "bigint",
h: "bigint",
Gx: "field",
Gy: "field"
}, {
nBitLength: "isSafeInteger",
nByteLength: "isSafeInteger"
});
return Object.freeze({
...nLength(curve.n, curve.nBitLength),
...curve,
...{ p: curve.Fp.ORDER }
});
}
// node_modules/@noble/curves/esm/abstract/weierstrass.js
function validatePointOpts(curve) {
const opts = validateBasic(curve);
validateObject(opts, {
a: "field",
b: "field"
}, {
allowedPrivateKeyLengths: "array",
wrapPrivateKey: "boolean",
isTorsionFree: "function",
clearCofactor: "function",
allowInfinityPoint: "boolean",
fromBytes: "function",
toBytes: "function"
});
const { endo, Fp: Fp2, a } = opts;
if (endo) {
if (!Fp2.eql(a, Fp2.ZERO)) {
throw new Error("Endomorphism can only be defined for Koblitz curves that have a=0");
}
if (typeof endo !== "object" || typeof endo.beta !== "bigint" || typeof endo.splitScalar !== "function") {
throw new Error("Expected endomorphism with beta: bigint and splitScalar: function");
}
}
return Object.freeze({ ...opts });
}
var { bytesToNumberBE: b2n, hexToBytes: h2b } = utils_exports;
var DER = {
// asn.1 DER encoding utils
Err: class DERErr extends Error {
constructor(m = "") {
super(m);
}
},
_parseInt(data) {
const { Err: E } = DER;
if (data.length < 2 || data[0] !== 2)
throw new E("Invalid signature integer tag");
const len = data[1];
const res = data.subarray(2, len + 2);
if (!len || res.length !== len)
throw new E("Invalid signature integer: wrong length");
if (res[0] & 128)
throw new E("Invalid signature integer: negative");
if (res[0] === 0 && !(res[1] & 128))
throw new E("Invalid signature integer: unnecessary leading zero");
return { d: b2n(res), l: data.subarray(len + 2) };
},
toSig(hex) {
const { Err: E } = DER;
const data = typeof hex === "string" ? h2b(hex) : hex;
if (!(data instanceof Uint8Array))
throw new Error("ui8a expected");
let l = data.length;
if (l < 2 || data[0] != 48)
throw new E("Invalid signature tag");
if (data[1] !== l - 2)
throw new E("Invalid signature: incorrect length");
const { d: r, l: sBytes } = DER._parseInt(data.subarray(2));
const { d: s, l: rBytesLeft } = DER._parseInt(sBytes);
if (rBytesLeft.length)
throw new E("Invalid signature: left bytes after parsing");
return { r, s };
},
hexFromSig(sig) {
const slice = (s2) => Number.parseInt(s2[0], 16) & 8 ? "00" + s2 : s2;
const h = (num) => {
const hex = num.toString(16);
return hex.length & 1 ? `0${hex}` : hex;
};
const s = slice(h(sig.s));
const r = slice(h(sig.r));
const shl = s.length / 2;
const rhl = r.length / 2;
const sl = h(shl);
const rl = h(rhl);
return `30${h(rhl + shl + 4)}02${rl}${r}02${sl}${s}`;
}
};
var _0n4 = BigInt(0);
var _1n4 = BigInt(1);
var _2n3 = BigInt(2);
var _3n2 = BigInt(3);
var _4n2 = BigInt(4);
function weierstrassPoints(opts) {
const CURVE = validatePointOpts(opts);
const { Fp: Fp2 } = CURVE;
const toBytes2 = CURVE.toBytes || ((_c, point, _isCompressed) => {
const a = point.toAffine();
return concatBytes2(Uint8Array.from([4]), Fp2.toBytes(a.x), Fp2.toBytes(a.y));
});
const fromBytes = CURVE.fromBytes || ((bytes2) => {
const tail = bytes2.subarray(1);
const x = Fp2.fromBytes(tail.subarray(0, Fp2.BYTES));
const y = Fp2.fromBytes(tail.subarray(Fp2.BYTES, 2 * Fp2.BYTES));
return { x, y };
});
function weierstrassEquation(x) {
const { a, b } = CURVE;
const x2 = Fp2.sqr(x);
const x3 = Fp2.mul(x2, x);
return Fp2.add(Fp2.add(x3, Fp2.mul(x, a)), b);
}
if (!Fp2.eql(Fp2.sqr(CURVE.Gy), weierstrassEquation(CURVE.Gx)))
throw new Error("bad generator point: equation left != right");
function isWithinCurveOrder(num) {
return typeof num === "bigint" && _0n4 < num && num < CURVE.n;
}
function assertGE(num) {
if (!isWithinCurveOrder(num))
throw new Error("Expected valid bigint: 0 < bigint < curve.n");
}
function normPrivateKeyToScalar(key) {
const { allowedPrivateKeyLengths: lengths, nByteLength, wrapPrivateKey, n } = CURVE;
if (lengths && typeof key !== "bigint") {
if (key instanceof Uint8Array)
key = bytesToHex(key);
if (typeof key !== "string" || !lengths.includes(key.length))
throw new Error("Invalid key");
key = key.padStart(nByteLength * 2, "0");
}
let num;
try {
num = typeof key === "bigint" ? key : bytesToNumberBE(ensureBytes("private key", key, nByteLength));
} catch (error) {
throw new Error(`private key must be ${nByteLength} bytes, hex or bigint, not ${typeof key}`);
}
if (wrapPrivateKey)
num = mod(num, n);
assertGE(num);
return num;
}
const pointPrecomputes = /* @__PURE__ */ new Map();
function assertPrjPoint(other) {
if (!(other instanceof Point2))
throw new Error("ProjectivePoint expected");
}
class Point2 {
constructor(px, py, pz) {
this.px = px;
this.py = py;
this.pz = pz;
if (px == null || !Fp2.isValid(px))
throw new Error("x required");
if (py == null || !Fp2.isValid(py))
throw new Error("y required");
if (pz == null || !Fp2.isValid(pz))
throw new Error("z required");
}
// Does not validate if the point is on-curve.
// Use fromHex instead, or call assertValidity() later.
static fromAffine(p) {
const { x, y } = p || {};
if (!p || !Fp2.isValid(x) || !Fp2.isValid(y))
throw new Error("invalid affine point");
if (p instanceof Point2)
throw new Error("projective point not allowed");
const is0 = (i) => Fp2.eql(i, Fp2.ZERO);
if (is0(x) && is0(y))
return Point2.ZERO;
return new Point2(x, y, Fp2.ONE);
}
get x() {
return this.toAffine().x;
}
get y() {
return this.toAffine().y;
}
/**
* Takes a bunch of Projective Points but executes only one
* inversion on all of them. Inversion is very slow operation,
* so this improves performance massively.
* Optimization: converts a list of projective points to a list of identical points with Z=1.
*/
static normalizeZ(points) {
const toInv = Fp2.invertBatch(points.map((p) => p.pz));
return points.map((p, i) => p.toAffine(toInv[i])).map(Point2.fromAffine);
}
/**
* Converts hash string or Uint8Array to Point.
* @param hex short/long ECDSA hex
*/
static fromHex(hex) {
const P = Point2.fromAffine(fromBytes(ensureBytes("pointHex", hex)));
P.assertValidity();
return P;
}
// Multiplies generator point by privateKey.
static fromPrivateKey(privateKey) {
return Point2.BASE.multiply(normPrivateKeyToScalar(privateKey));
}
// "Private method", don't use it directly
_setWindowSize(windowSize) {
this._WINDOW_SIZE = windowSize;
pointPrecomputes.delete(this);
}
// A point on curve is valid if it conforms to equation.
assertValidity() {
if (this.is0()) {
if (CURVE.allowInfinityPoint && !Fp2.is0(this.py))
return;
throw new Error("bad point: ZERO");
}
const { x, y } = this.toAffine();
if (!Fp2.isValid(x) || !Fp2.isValid(y))
throw new Error("bad point: x or y not FE");
const left = Fp2.sqr(y);
const right = weierstrassEquation(x);
if (!Fp2.eql(left, right))
throw new Error("bad point: equation left != right");
if (!this.isTorsionFree())
throw new Error("bad point: not in prime-order subgroup");
}
hasEvenY() {
const { y } = this.toAffine();
if (Fp2.isOdd)
return !Fp2.isOdd(y);
throw new Error("Field doesn't support isOdd");
}
/**
* Compare one point to another.
*/
equals(other) {
assertPrjPoint(other);
const { px: X1, py: Y1, pz: Z1 } = this;
const { px: X2, py: Y2, pz: Z2 } = other;
const U1 = Fp2.eql(Fp2.mul(X1, Z2), Fp2.mul(X2, Z1));
const U2 = Fp2.eql(Fp2.mul(Y1, Z2), Fp2.mul(Y2, Z1));
return U1 && U2;
}
/**
* Flips point to one corresponding to (x, -y) in Affine coordinates.
*/
negate() {
return new Point2(this.px, Fp2.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 = Fp2.mul(b, _3n2);
const { px: X1, py: Y1, pz: Z1 } = this;
let X3 = Fp2.ZERO, Y3 = Fp2.ZERO, Z3 = Fp2.ZERO;
let t0 = Fp2.mul(X1, X1);
let t1 = Fp2.mul(Y1, Y1);
let t2 = Fp2.mul(Z1, Z1);
let t3 = Fp2.mul(X1, Y1);
t3 = Fp2.add(t3, t3);
Z3 = Fp2.mul(X1, Z1);
Z3 = Fp2.add(Z3, Z3);
X3 = Fp2.mul(a, Z3);
Y3 = Fp2.mul(b3, t2);
Y3 = Fp2.add(X3, Y3);
X3 = Fp2.sub(t1, Y3);
Y3 = Fp2.add(t1, Y3);
Y3 = Fp2.mul(X3, Y3);
X3 = Fp2.mul(t3, X3);
Z3 = Fp2.mul(b3, Z3);
t2 = Fp2.mul(a, t2);
t3 = Fp2.sub(t0, t2);
t3 = Fp2.mul(a, t3);
t3 = Fp2.add(t3, Z3);
Z3 = Fp2.add(t0, t0);
t0 = Fp2.add(Z3, t0);
t0 = Fp2.add(t0, t2);
t0 = Fp2.mul(t0, t3);
Y3 = Fp2.add(Y3, t0);
t2 = Fp2.mul(Y1, Z1);
t2 = Fp2.add(t2, t2);
t0 = Fp2.mul(t2, t3);
X3 = Fp2.sub(X3, t0);
Z3 = Fp2.mul(t2, t1);
Z3 = Fp2.add(Z3, Z3);
Z3 = Fp2.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) {
assertPrjPoint(other);
const { px: X1, py: Y1, pz: Z1 } = this;
const { px: X2, py: Y2, pz: Z2 } = other;
let X3 = Fp2.ZERO, Y3 = Fp2.ZERO, Z3 = Fp2.ZERO;
const a = CURVE.a;
const b3 = Fp2.mul(CURVE.b, _3n2);
let t0 = Fp2.mul(X1, X2);
let t1 = Fp2.mul(Y1, Y2);
let t2 = Fp2.mul(Z1, Z2);
let t3 = Fp2.add(X1, Y1);
let t4 = Fp2.add(X2, Y2);
t3 = Fp2.mul(t3, t4);
t4 = Fp2.add(t0, t1);
t3 = Fp2.sub(t3, t4);
t4 = Fp2.add(X1, Z1);
let t5 = Fp2.add(X2, Z2);
t4 = Fp2.mul(t4, t5);
t5 = Fp2.add(t0, t2);
t4 = Fp2.sub(t4, t5);
t5 = Fp2.add(Y1, Z1);
X3 = Fp2.add(Y2, Z2);
t5 = Fp2.mul(t5, X3);
X3 = Fp2.add(t1, t2);
t5 = Fp2.sub(t5, X3);
Z3 = Fp2.mul(a, t4);
X3 = Fp2.mul(b3, t2);
Z3 = Fp2.add(X3, Z3);
X3 = Fp2.sub(t1, Z3);
Z3 = Fp2.add(t1, Z3);
Y3 = Fp2.mul(X3, Z3);
t1 = Fp2.add(t0, t0);
t1 = Fp2.add(t1, t0);
t2 = Fp2.mul(a, t2);
t4 = Fp2.mul(b3, t4);
t1 = Fp2.add(t1, t2);
t2 = Fp2.sub(t0, t2);
t2 = Fp2.mul(a, t2);
t4 = Fp2.add(t4, t2);
t0 = Fp2.mul(t1, t4);
Y3 = Fp2.add(Y3, t0);
t0 = Fp2.mul(t5, t4);
X3 = Fp2.mul(t3, X3);
X3 = Fp2.sub(X3, t0);
t0 = Fp2.mul(t3, t1);
Z3 = Fp2.mul(t5, Z3);
Z3 = Fp2.add(Z3, t0);
return new Point2(X3, Y3, Z3);
}
subtract(other) {
return this.add(other.negate());
}
is0() {
return this.equals(Point2.ZERO);
}
wNAF(n) {
return wnaf.wNAFCached(this, pointPrecomputes, n, (comp) => {
const toInv = Fp2.invertBatch(comp.map((p) => p.pz));
return comp.map((p, i) => p.toAffine(toInv[i])).map(Point2.fromAffine);
});
}
/**
* 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(n) {
const I = Point2.ZERO;
if (n === _0n4)
return I;
assertGE(n);
if (n === _1n4)
return this;
const { endo } = CURVE;
if (!endo)
return wnaf.unsafeLadder(this, n);
let { k1neg, k1, k2neg, k2 } = endo.splitScalar(n);
let k1p = I;
let k2p = I;
let d = this;
while (k1 > _0n4 || k2 > _0n4) {
if (k1 & _1n4)
k1p = k1p.add(d);
if (k2 & _1n4)
k2p = k2p.add(d);
d = d.double();
k1 >>= _1n4;
k2 >>= _1n4;
}
if (k1neg)
k1p = k1p.negate();
if (k2neg)
k2p = k2p.negate();
k2p = new Point2(Fp2.mul(k2p.px, endo.beta), k2p.py, k2p.pz);
return k1p.add(k2p);
}
/**
* 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) {
assertGE(scalar);
let n = scalar;
let point, fake;
const { endo } = CURVE;
if (endo) {
const { k1neg, k1, k2neg, k2 } = endo.splitScalar(n);
let { p: k1p, f: f1p } = this.wNAF(k1);
let { p: k2p, f: f2p } = this.wNAF(k2);
k1p = wnaf.constTimeNegate(k1neg, k1p);
k2p = wnaf.constTimeNegate(k2neg, k2p);
k2p = new Point2(Fp2.mul(k2p.px, endo.beta), k2p.py, k2p.pz);
point = k1p.add(k2p);
fake = f1p.add(f2p);
} else {
const { p, f } = this.wNAF(n);
point = p;
fake = f;
}
return Point2.normalizeZ([point, fake])[0];
}
/**
* Efficiently calculate `aP + bQ`. Unsafe, can expose private key, if used incorrectly.
* Not using Strauss-Shamir trick: precomputation tables are faster.
* The trick could be useful if both P and Q are not G (not in our case).
* @returns non-zero affine point
*/
multiplyAndAddUnsafe(Q, a, b) {
const G = Point2.BASE;
const mul = (P, a2) => a2 === _0n4 || a2 === _1n4 || !P.equals(G) ? P.multiplyUnsafe(a2) : P.multiply(a2);
const sum = mul(this, a).add(mul(Q, b));
return sum.is0() ? void 0 : sum;
}
// Converts Projective point to affine (x, y) coordinates.
// Can accept precomputed Z^-1 - for example, from invertBatch.
// (x, y, z) ∋ (x=x/z, y=y/z)
toAffine(iz) {
const { px: x, py: y, pz: z } = this;
const is0 = this.is0();
if (iz == null)
iz = is0 ? Fp2.ONE : Fp2.inv(z);
const ax = Fp2.mul(x, iz);
const ay = Fp2.mul(y, iz);
const zz = Fp2.mul(z, iz);
if (is0)
return { x: Fp2.ZERO, y: Fp2.ZERO };
if (!Fp2.eql(zz, Fp2.ONE))
throw new Error("invZ was invalid");
return { x: ax, y: ay };
}
isTorsionFree() {
const { h: cofactor, isTorsionFree } = CURVE;
if (cofactor === _1n4)
return true;
if (isTorsionFree)
return isTorsionFree(Point2, this);
throw new Error("isTorsionFree() has not been declared for the elliptic curve");
}
clearCofactor() {
const { h: cofactor, clearCofactor } = CURVE;
if (cofactor === _1n4)
return this;
if (clearCofactor)
return clearCofactor(Point2, this);
return this.multiplyUnsafe(CURVE.h);
}
toRawBytes(isCompressed = true) {
this.assertValidity();
return toBytes2(Point2, this, isCompressed);
}
toHex(isCompressed = true) {
return bytesToHex(this.toRawBytes(isCompressed));
}
}
Point2.BASE = new Point2(CURVE.Gx, CURVE.Gy, Fp2.ONE);
Point2.ZERO = new Point2(Fp2.ZERO, Fp2.ONE, Fp2.ZERO);
const _bits = CURVE.nBitLength;
const wnaf = wNAF(Point2, CURVE.endo ? Math.ceil(_bits / 2) : _bits);
return {
CURVE,
ProjectivePoint: Point2,
normPrivateKeyToScalar,
weierstrassEquation,
isWithinCurveOrder
};
}
function validateOpts(curve) {
const opts = validateBasic(curve);
validateObject(opts, {
hash: "hash",
hmac: "function",
randomBytes: "function"
}, {
bits2int: "function",
bits2int_modN: "function",
lowS: "boolean"
});
return Object.freeze({ lowS: true, ...opts });
}
function weierstrass(curveDef) {
const CURVE = validateOpts(curveDef);
const { Fp: Fp2, n: CURVE_ORDER } = CURVE;
const compressedLen = Fp2.BYTES + 1;
const uncompressedLen = 2 * Fp2.BYTES + 1;
function isValidFieldElement(num) {
return _0n4 < num && num < Fp2.ORDER;
}
function modN2(a) {
return mod(a, CURVE_ORDER);
}
function invN(a) {
return invert(a, CURVE_ORDER);
}
const { ProjectivePoint: Point2, normPrivateKeyToScalar, weierstrassEquation, isWithinCurveOrder } = weierstrassPoints({
...CURVE,
toBytes(_c, point, isCompressed) {
const a = point.toAffine();
const x = Fp2.toBytes(a.x);
const cat = concatBytes2;
if (isCompressed) {
return cat(Uint8Array.from([point.hasEvenY() ? 2 : 3]), x);
} else {
return cat(Uint8Array.from([4]), x, Fp2.toBytes(a.y));
}
},
fromBytes(bytes2) {
const len = bytes2.length;
const head = bytes2[0];
const tail = bytes2.subarray(1);
if (len === compressedLen && (head === 2 || head === 3)) {
const x = bytesToNumberBE(tail);
if (!isValidFieldElement(x))
throw new Error("Point is not on curve");
const y2 = weierstrassEquation(x);
let y = Fp2.sqrt(y2);
const isYOdd = (y & _1n4) === _1n4;
const isHeadOdd = (head & 1) === 1;
if (isHeadOdd !== isYOdd)
y = Fp2.neg(y);
return { x, y };
} else if (len === uncompressedLen && head === 4) {
const x = Fp2.fromBytes(tail.subarray(0, Fp2.BYTES));
const y = Fp2.fromBytes(tail.subarray(Fp2.BYTES, 2 * Fp2.BYTES));
return { x, y };
} else {
throw new Error(`Point of length ${len} was invalid. Expected ${compressedLen} compressed bytes or ${uncompressedLen} uncompressed bytes`);
}
}
});
const numToNByteStr = (num) => bytesToHex(numberToBytesBE(num, CURVE.nByteLength));
function isBiggerThanHalfOrder(number) {
const HALF = CURVE_ORDER >> _1n4;
return number > HALF;
}
function normalizeS(s) {
return isBiggerThanHalfOrder(s) ? modN2(-s) : s;
}
const slcNum = (b, from, to) => bytesToNumberBE(b.slice(from, to));
class Signature {
constructor(r, s, recovery) {
this.r = r;
this.s = s;
this.recovery = recovery;
this.assertValidity();
}
// pair (bytes of r, bytes of s)
static fromCompact(hex) {
const l = CURVE.nByteLength;
hex = ensureBytes("compactSignature", hex, l * 2);
return new Signature(slcNum(hex, 0, l), slcNum(hex, l, 2 * l));
}
// 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);
}
assertValidity() {
if (!isWithinCurveOrder(this.r))
throw new Error("r must be 0 < r < CURVE.n");
if (!isWithinCurveOrder(this.s))
throw new Error("s must be 0 < s < CURVE.n");
}
addRecoveryBit(recovery) {
return new Signature(this.r, this.s, recovery);
}
recoverPublicKey(msgHash) {
const { r, s, recovery: rec } = this;
const h = bits2int_modN(ensureBytes("msgHash", msgHash));
if (rec == null || ![0, 1, 2, 3].includes(rec))
throw new Error("recovery id invalid");
const radj = rec === 2 || rec === 3 ? r + CURVE.n : r;
if (radj >= Fp2.ORDER)
throw new Error("recovery id 2 or 3 invalid");
const prefix = (rec & 1) === 0 ? "02" : "03";
const R = Point2.fromHex(prefix + numToNByteStr(radj));
const ir = invN(radj);
const u1 = modN2(-h * ir);
const u2 = modN2(s * ir);
const Q = Point2.BASE.multiplyAndAddUnsafe(R, u1, u2);
if (!Q)
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, modN2(-this.s), this.recovery) : this;
}
// DER-encoded
toDERRawBytes() {
return hexToBytes(this.toDERHex());
}
toDERHex() {
return DER.hexFromSig({ r: this.r, s: this.s });
}
// padded bytes of r, then padded bytes of s
toCompactRawBytes() {
return hexToBytes(this.toCompactHex());
}
toCompactHex() {
return numToNByteStr(this.r) + numToNByteStr(this.s);
}
}
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 length = getMinHashLength(CURVE.n);
return mapHashToField(CURVE.randomBytes(length), CURVE.n);
},
/**
* Creates precompute table for an arbitrary EC point. Makes point "cached".
* Allows to massively speed-up `point.multiply(scalar)`.
* @returns cached point
* @example
* const fast = utils.precompute(8, ProjectivePoint.fromHex(someonesPubKey));
* fast.multiply(privKey); // much faster ECDH now
*/
precompute(windowSize = 8, point = Point2.BASE) {
point._setWindowSize(windowSize);
point.multiply(BigInt(3));
return point;
}
};
function getPublicKey(privateKey, isCompressed = true) {
return Point2.fromPrivateKey(privateKey).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 === compressedLen || len === uncompressedLen;
if (str)
return len === 2 * compressedLen || len === 2 * uncompressedLen;
if (item instanceof Point2)
return true;
return false;
}
function getSharedSecret(privateA, publicB, isCompressed = true) {
if (isProbPub(privateA))
throw new Error("first arg must be private key");
if (!isProbPub(publicB))
throw new Error("second arg must be public key");
const b = Point2.fromHex(publicB);
return b.multiply(normPrivateKeyToScalar(privateA)).toRawBytes(isCompressed);
}
const bits2int = CURVE.bits2int || function(bytes2) {
const num = bytesToNumberBE(bytes2);
const delta = bytes2.length * 8 - CURVE.nBitLength;
return delta > 0 ? num >> BigInt(delta) : num;
};
const bits2int_modN = CURVE.bits2int_modN || function(bytes2) {
return modN2(bits2int(bytes2));
};
const ORDER_MASK = bitMask(CURVE.nBitLength);
function int2octets(num) {
if (typeof num !== "bigint")
throw new Error("bigint expected");
if (!(_0n4 <= num && num < ORDER_MASK))
throw new Error(`bigint expected < 2^${CURVE.nBitLength}`);
return numberToBytesBE(num, CURVE.nByteLength);
}
function prepSig(msgHash, privateKey, opts = defaultSigOpts) {
if (["recovered", "canonical"].some((k) => k in opts))
throw new Error("sign() legacy options not supported");
const { hash: hash2, randomBytes: randomBytes2 } = CURVE;
let { lowS, prehash, extraEntropy: ent } = opts;
if (lowS == null)
lowS = true;
msgHash = ensureBytes("msgHash", msgHash);
if (prehash)
msgHash = ensureBytes("prehashed msgHash", hash2(msgHash));
const h1int = bits2int_modN(msgHash);
const d = normPrivateKeyToScalar(privateKey);
const seedArgs = [int2octets(d), int2octets(h1int)];
if (ent != null) {
const e = ent === true ? randomBytes2(Fp2.BYTES) : ent;
seedArgs.push(ensureBytes("extraEntropy", e));
}
const seed = concatBytes2(...seedArgs);
const m = h1int;
function k2sig(kBytes) {
const k = bits2int(kBytes);
if (!isWithinCurveOrder(k))
return;
const ik = invN(k);
const q = Point2.BASE.multiply(k).toAffine();
const r = modN2(q.x);
if (r === _0n4)
return;
const s = modN2(ik * modN2(m + r * d));
if (s === _0n4)
return;
let recovery = (q.x === r ? 0 : 2) | Number(q.y & _1n4);
let normS = s;
if (lowS && isBiggerThanHalfOrder(s)) {
normS = normalizeS(s);
recovery ^= 1;
}
return new Signature(r, normS, recovery);
}
return { seed, k2sig };
}
const defaultSigOpts = { lowS: CURVE.lowS, prehash: false };
const defaultVerOpts = { lowS: CURVE.lowS, prehash: false };
function sign(msgHash, privKey, opts = defaultSigOpts) {
const { seed, k2sig } = prepSig(msgHash, privKey, opts);
const C = CURVE;
const drbg = createHmacDrbg(C.hash.outputLen, C.nByteLength, C.hmac);
return drbg(seed, k2sig);
}
Point2.BASE._setWindowSize(8);
function verify(signature, msgHash, publicKey, opts = defaultVerOpts) {
const sg = signature;
msgHash = ensureBytes("msgHash", msgHash);
publicKey = ensureBytes("publicKey", publicKey);
if ("strict" in opts)
throw new Error("options.strict was renamed to lowS");
const { lowS, prehash } = opts;
let _sig = void 0;
let P;
try {
if (typeof sg === "string" || sg instanceof Uint8Array) {
try {
_sig = Signature.fromDER(sg);
} catch (derError) {
if (!(derError instanceof DER.Err))
throw derError;
_sig = Signature.fromCompact(sg);
}
} else if (typeof sg === "object" && typeof sg.r === "bigint" && typeof sg.s === "bigint") {
const { r: r2, s: s2 } = sg;
_sig = new Signature(r2, s2);
} else {
throw new Error("PARSE");
}
P = Point2.fromHex(publicKey);
} catch (error) {
if (error.message === "PARSE")
throw new Error(`signature must be Signature instance, Uint8Array or hex string`);
return false;
}
if (lowS && _sig.hasHighS())
return false;
if (prehash)
msgHash = CURVE.hash(msgHash);
const { r, s } = _sig;
const h = bits2int_modN(msgHash);
const is = invN(s);
const u1 = modN2(h * is);
const u2 = modN2(r * is);
const R = Point2.BASE.multiplyAndAddUnsafe(P, u1, u2)?.toAffine();
if (!R)
return false;
const v = modN2(R.x);
return v === r;
}
return {
CURVE,
getPublicKey,
getSharedSecret,
sign,
verify,
ProjectivePoint: Point2,
Signature,
utils
};
}
function SWUFpSqrtRatio(Fp2, Z) {
const q = Fp2.ORDER;
let l = _0n4;
for (let o = q - _1n4; o % _2n3 === _0n4; o /= _2n3)
l += _1n4;
const c1 = l;
const _2n_pow_c1_1 = _2n3 << c1 - _1n4 - _1n4;
const _2n_pow_c1 = _2n_pow_c1_1 * _2n3;
const c2 = (q - _1n4) / _2n_pow_c1;
const c3 = (c2 - _1n4) / _2n3;
const c4 = _2n_pow_c1 - _1n4;
const c5 = _2n_pow_c1_1;
const c6 = Fp2.pow(Z, c2);
const c7 = Fp2.pow(Z, (c2 + _1n4) / _2n3);
let sqrtRatio = (u, v) => {
let tv1 = c6;
let tv2 = Fp2.pow(v, c4);
let tv3 = Fp2.sqr(tv2);
tv3 = Fp2.mul(tv3, v);
let tv5 = Fp2.mul(u, tv3);
tv5 = Fp2.pow(tv5, c3);
tv5 = Fp2.mul(tv5, tv2);
tv2 = Fp2.mul(tv5, v);
tv3 = Fp2.mul(tv5, u);
let tv4 = Fp2.mul(tv3, tv2);
tv5 = Fp2.pow(tv4, c5);
let isQR = Fp2.eql(tv5, Fp2.ONE);
tv2 = Fp2.mul(tv3, c7);
tv5 = Fp2.mul(tv4, tv1);
tv3 = Fp2.cmov(tv2, tv3, isQR);
tv4 = Fp2.cmov(tv5, tv4, isQR);
for (let i = c1; i > _1n4; i--) {
let tv52 = i - _2n3;
tv52 = _2n3 << tv52 - _1n4;
let tvv5 = Fp2.pow(tv4, tv52);
const e1 = Fp2.eql(tvv5, Fp2.ONE);
tv2 = Fp2.mul(tv3, tv1);
tv1 = Fp2.mul(tv1, tv1);
tvv5 = Fp2.mul(tv4, tv1);
tv3 = Fp2.cmov(tv2, tv3, e1);
tv4 = Fp2.cmov(tvv5, tv4, e1);
}
return { isValid: isQR, value: tv3 };
};
if (Fp2.ORDER % _4n2 === _3n2) {
const c12 = (Fp2.ORDER - _3n2) / _4n2;
const c22 = Fp2.sqrt(Fp2.neg(Z));
sqrtRatio = (u, v) => {
let tv1 = Fp2.sqr(v);
const tv2 = Fp2.mul(u, v);
tv1 = Fp2.mul(tv1, tv2);
let y1 = Fp2.pow(tv1, c12);
y1 = Fp2.mul(y1, tv2);
const y2 = Fp2.mul(y1, c22);
const tv3 = Fp2.mul(Fp2.sqr(y1), v);
const isQR = Fp2.eql(tv3, u);
let y = Fp2.cmov(y2, y1, isQR);
return { isValid: isQR, value: y };
};
}
return sqrtRatio;
}
function mapToCurveSimpleSWU(Fp2, opts) {
validateField(Fp2);
if (!Fp2.isValid(opts.A) || !Fp2.isValid(opts.B) || !Fp2.isValid(opts.Z))
throw new Error("mapToCurveSimpleSWU: invalid opts");
const sqrtRatio = SWUFpSqrtRatio(Fp2, opts.Z);
if (!Fp2.isOdd)
throw new Error("Fp.isOdd is not implemented!");
return (u) => {
let tv1, tv2, tv3, tv4, tv5, tv6, x, y;
tv1 = Fp2.sqr(u);
tv1 = Fp2.mul(tv1, opts.Z);
tv2 = Fp2.sqr(tv1);
tv2 = Fp2.add(tv2, tv1);
tv3 = Fp2.add(tv2, Fp2.ONE);
tv3 = Fp2.mul(tv3, opts.B);
tv4 = Fp2.cmov(opts.Z, Fp2.neg(tv2), !Fp2.eql(tv2, Fp2.ZERO));
tv4 = Fp2.mul(tv4, opts.A);
tv2 = Fp2.sqr(tv3);
tv6 = Fp2.sqr(tv4);
tv5 = Fp2.mul(tv6, opts.A);
tv2 = Fp2.add(tv2, tv5);
tv2 = Fp2.mul(tv2, tv3);
tv6 = Fp2.mul(tv6, tv4);
tv5 = Fp2.mul(tv6, opts.B);
tv2 = Fp2.add(tv2, tv5);
x = Fp2.mul(tv1, tv3);
const { isValid, value } = sqrtRatio(tv2, tv6);
y = Fp2.mul(tv1, u);
y = Fp2.mul(y, value);
x = Fp2.cmov(x, tv3, isValid);
y = Fp2.cmov(y, value, isValid);
const e1 = Fp2.isOdd(u) === Fp2.isOdd(y);
y = Fp2.cmov(Fp2.neg(y), y, e1);
x = Fp2.div(x, tv4);
return { x, y };
};
}
// node_modules/@noble/curves/esm/abstract/hash-to-curve.js
function validateDST(dst) {
if (dst instanceof Uint8Array)
return dst;
if (typeof dst === "string")
return utf8ToBytes(dst);
throw new Error("DST must be Uint8Array or string");
}
var os2ip = bytesToNumberBE;
function i2osp(value, length) {
if (value < 0 || value >= 1 << 8 * length) {
throw new Error(`bad I2OSP call: value=${value} length=${length}`);
}
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 isBytes(item) {
if (!(item instanceof Uint8Array))
throw new Error("Uint8Array expected");
}
function isNum(item) {
if (!Number.isSafeInteger(item))
throw new Error("number expected");
}
function expand_message_xmd(msg, DST, lenInBytes, H) {
isBytes(msg);
isBytes(DST);
isNum(lenInBytes);
if (DST.length > 255)
DST = H(concatBytes2(utf8ToBytes("H2C-OVERSIZE-DST-"), DST));
const { outputLen: b_in_bytes, blockLen: r_in_bytes } = H;
const ell = Math.ceil(lenInBytes / b_in_bytes);
if (ell > 255)
throw new Error("Invalid xmd length");
const DST_prime = concatBytes2(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(concatBytes2(Z_pad, msg, l_i_b_str, i2osp(0, 1), DST_prime));
b[0] = H(concatBytes2(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(concatBytes2(...args));
}
const pseudo_random_bytes = concatBytes2(...b);
return pseudo_random_bytes.slice(0, lenInBytes);
}
function expand_message_xof(msg, DST, lenInBytes, k, H) {
isBytes(msg);
isBytes(DST);
isNum(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, {
DST: "stringOrUint8Array",
p: "bigint",
m: "isSafeInteger",
k: "isSafeInteger",
hash: "hash"
});
const { p, k, m, hash: hash2, expand, DST: _DST } = options;
isBytes(msg);
isNum(count);
const DST = validateDST(_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, hash2);
} else if (expand === "xof") {
prb = expand_message_xof(msg, DST, len_in_bytes, k, hash2);
} 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 [xNum, xDen, yNum, yDen] = COEFF.map((val) => val.reduce((acc, i) => field.add(field.mul(acc, x), i)));
x = field.div(xNum, xDen);
y = field.mul(y, field.div(yNum, yDen));
return { x, y };
};
}
function createHasher(Point2, mapToCurve, def) {
if (typeof mapToCurve !== "function")
throw new Error("mapToCurve() must be defined");
return {
// Encodes byte string to elliptic curve.
// hash_to_curve from https://www.rfc-editor.org/rfc/rfc9380#section-3
hashToCurve(msg, options) {
const u = hash_to_field(msg, 2, { ...def, DST: def.DST, ...options });
const u0 = Point2.fromAffine(mapToCurve(u[0]));
const u1 = Point2.fromAffine(mapToCurve(u[1]));
const P = u0.add(u1).clearCofactor();
P.assertValidity();
return P;
},
// Encodes byte string to elliptic curve.
// encode_to_curve from https://www.rfc-editor.org/rfc/rfc9380#section-3
encodeToCurve(msg, options) {
const u = hash_to_field(msg, 1, { ...def, DST: def.encodeDST, ...options });
const P = Point2.fromAffine(mapToCurve(u[0])).clearCofactor();
P.assertValidity();
return P;
}
};
}
// node_modules/@noble/hashes/esm/hmac.js
var HMAC = class extends Hash {
constructor(hash2, _key) {
super();
this.finished = false;
this.destroyed = false;
hash(hash2);
const key = toBytes(_key);
this.iHash = hash2.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 ? hash2.create().update(key).digest() : key);
for (let i = 0; i < pad.length; i++)
pad[i] ^= 54;
this.iHash.update(pad);
this.oHash = hash2.create();
for (let i = 0; i < pad.length; i++)
pad[i] ^= 54 ^ 92;
this.oHash.update(pad);
pad.fill(0);
}
update(buf) {
exists(this);
this.iHash.update(buf);
return this;
}
digestInto(out) {
exists(this);
bytes(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;
}
destroy() {
this.destroyed = true;
this.oHash.destroy();
this.iHash.destroy();
}
};
var hmac = (hash2, key, message) => new HMAC(hash2, key).update(message).digest();
hmac.create = (hash2, key) => new HMAC(hash2, key);
// node_modules/@noble/curves/esm/_shortw_utils.js
function getHash(hash2) {
return {
hash: hash2,
hmac: (key, ...msgs) => hmac(hash2, key, concatBytes(...msgs)),
randomBytes
};
}
function createCurve(curveDef, defHash) {
const create = (hash2) => weierstrass({ ...curveDef, ...getHash(hash2) });
return Object.freeze({ ...create(defHash), create });
}
// node_modules/@noble/curves/esm/secp256k1.js
var secp256k1P = BigInt("0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f");
var secp256k1N = BigInt("0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141");
var _1n5 = BigInt(1);
var _2n4 = BigInt(2);
var divNearest = (a, b) => (a + b / _2n4) / b;
function sqrtMod(y) {
const P = secp256k1P;
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, _2n4, 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, _2n4, P);
if (!Fp.eql(Fp.sqr(root), y))
throw new Error("Cannot find square root");
return root;
}
var Fp = Field(secp256k1P, void 0, void 0, { sqrt: sqrtMod });
var secp256k1 = createCurve({
a: BigInt(0),
b: BigInt(7),
Fp,
n: secp256k1N,
// Base point (x, y) aka generator point
Gx: BigInt("55066263022277343669578718895168534326250603453777594175500187360389116729240"),
Gy: BigInt("32670510020758816978083085130507043184471273380659243275938904335757337482424"),
h: BigInt(1),
lowS: true,
/**
* secp256k1 belongs to Koblitz curves: it has efficiently computable endomorphism.
* Endomorphism uses 2x less RAM, speeds up precomputation by 2x and ECDH / key recovery by 20%.
* For precomputed wNAF it trades off 1/2 init time & 1/3 ram for 20% perf hit.
* Explanation: https://gist.github.com/paulmillr/eb670806793e84df628a7c434a873066
*/
endo: {
beta: BigInt("0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee"),
splitScalar: (k) => {
const n = secp256k1N;
const a1 = BigInt("0x3086d221a7d46bcde86c90e49284eb15");
const b1 = -_1n5 * 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 _0n5 = BigInt(0);
var fe = (x) => typeof x === "bigint" && _0n5 < x && x < secp256k1P;
var ge = (x) => typeof x === "bigint" && _0n5 < x && x < secp256k1N;
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 = concatBytes2(tagH, tagH);
TAGGED_HASH_PREFIXES[tag] = tagP;
}
return sha256(concatBytes2(tagP, ...messages));
}
var pointToBytes = (point) => point.toRawBytes(true).slice(1);
var numTo32b = (n) => numberToBytesBE(n, 32);
var modP = (x) => mod(x, secp256k1P);
var modN = (x) => mod(x, secp256k1N);
var Point = secp256k1.ProjectivePoint;
var GmulAdd = (Q, a, b) => Point.BASE.multiplyAndAddUnsafe(Q, a, b);
function schnorrGetExtPubKey(priv) {
let d_ = secp256k1.utils.normPrivateKeyToScalar(priv);
let p = Point.fromPrivateKey(d_);
const scalar = p.hasEvenY() ? d_ : modN(-d_);
return { scalar, bytes: pointToBytes(p) };
}
function lift_x(x) {
if (!fe(x))
throw new Error("bad x: need 0 < x < p");
const xx = modP(x * x);
const c = modP(xx * x + BigInt(7));
let y = sqrtMod(c);
if (y % _2n4 !== _0n5)
y = modP(-y);
const p = new Point(x, y, _1n5);
p.assertValidity();
return p;
}
function challenge(...args) {
return modN(bytesToNumberBE(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 ^ bytesToNumberBE(taggedHash("BIP0340/aux", a)));
const rand = taggedHash("BIP0340/nonce", t, px, m);
const k_ = modN(bytesToNumberBE(rand));
if (k_ === _0n5)
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(bytesToNumberBE(pub));
const r = bytesToNumberBE(sig.subarray(0, 32));
if (!fe(r))
return false;
const s = bytesToNumberBE(sig.subarray(32, 64));
if (!ge(s))
return false;
const e = challenge(numTo32b(r), pointToBytes(P), m);
const R = GmulAdd(P, s, modN(-e));
if (!R || !R.hasEvenY() || R.toAffine().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(Fp, [
// 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(Fp, {
A: BigInt("0x3f8731abdd661adca08a5558f0f5d272e953d363cb6f0e5d405447c01a444533"),
B: BigInt("1771"),
Z: Fp.create(BigInt("-11"))
}))();
var htf = /* @__PURE__ */ (() => createHasher(secp256k1.ProjectivePoint, (scalars) => {
const { x, y } = mapSWU(Fp.create(scalars[0]));
return isoMap(x, y);
}, {
DST: "secp256k1_XMD:SHA-256_SSWU_RO_",
encodeDST: "secp256k1_XMD:SHA-256_SSWU_NU_",
p: Fp.ORDER,
m: 1,
k: 128,
expand: "xmd",
hash: sha256
}))();
var hashToCurve = /* @__PURE__ */ (() => htf.hashToCurve)();
var encodeToCurve = /* @__PURE__ */ (() => htf.encodeToCurve)();
export {
sha256,
equalBytes,
secp256k1,
schnorr,
hashToCurve,
encodeToCurve
};
/*! Bundled license information:
@noble/curves/esm/abstract/utils.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
@noble/curves/esm/abstract/modular.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
@noble/curves/esm/abstract/curve.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
@noble/curves/esm/abstract/weierstrass.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
@noble/curves/esm/_shortw_utils.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
@noble/curves/esm/secp256k1.js:
(*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) *)
*/
//# sourceMappingURL=chunk-FHDGUR6E.mjs.map