@enactprotocol/security
Version:
Backend security library for signing enact documents
1,685 lines (1,672 loc) • 90.8 kB
JavaScript
// ../../node_modules/@noble/hashes/esm/cryptoNode.js
import * as nc from "node:crypto";
var crypto = nc && typeof nc === "object" && "webcrypto" in nc ? nc.webcrypto : nc && typeof nc === "object" && ("randomBytes" in nc) ? nc : undefined;
// ../../node_modules/@noble/hashes/esm/utils.js
/*! noble-hashes - MIT License (c) 2022 Paul Miller (paulmillr.com) */
function isBytes(a) {
return a instanceof Uint8Array || ArrayBuffer.isView(a) && a.constructor.name === "Uint8Array";
}
function anumber(n) {
if (!Number.isSafeInteger(n) || n < 0)
throw new Error("positive integer expected, got " + n);
}
function abytes(b, ...lengths) {
if (!isBytes(b))
throw new Error("Uint8Array expected");
if (lengths.length > 0 && !lengths.includes(b.length))
throw new Error("Uint8Array expected of length " + lengths + ", got length=" + b.length);
}
function ahash(h) {
if (typeof h !== "function" || typeof h.create !== "function")
throw new Error("Hash should be wrapped by utils.createHasher");
anumber(h.outputLen);
anumber(h.blockLen);
}
function aexists(instance, checkFinished = true) {
if (instance.destroyed)
throw new Error("Hash instance has been destroyed");
if (checkFinished && instance.finished)
throw new Error("Hash#digest() has already been called");
}
function aoutput(out, instance) {
abytes(out);
const min = instance.outputLen;
if (out.length < min) {
throw new Error("digestInto() expects output buffer of length at least " + min);
}
}
function clean(...arrays) {
for (let i = 0;i < arrays.length; i++) {
arrays[i].fill(0);
}
}
function createView(arr) {
return new DataView(arr.buffer, arr.byteOffset, arr.byteLength);
}
function rotr(word, shift) {
return word << 32 - shift | word >>> shift;
}
var hasHexBuiltin = /* @__PURE__ */ (() => typeof Uint8Array.from([]).toHex === "function" && typeof Uint8Array.fromHex === "function")();
var hexes = /* @__PURE__ */ Array.from({ length: 256 }, (_, i) => i.toString(16).padStart(2, "0"));
function bytesToHex(bytes) {
abytes(bytes);
if (hasHexBuiltin)
return bytes.toHex();
let hex = "";
for (let i = 0;i < bytes.length; i++) {
hex += hexes[bytes[i]];
}
return hex;
}
var asciis = { _0: 48, _9: 57, A: 65, F: 70, a: 97, f: 102 };
function asciiToBase16(ch) {
if (ch >= asciis._0 && ch <= asciis._9)
return ch - asciis._0;
if (ch >= asciis.A && ch <= asciis.F)
return ch - (asciis.A - 10);
if (ch >= asciis.a && ch <= asciis.f)
return ch - (asciis.a - 10);
return;
}
function hexToBytes(hex) {
if (typeof hex !== "string")
throw new Error("hex string expected, got " + typeof hex);
if (hasHexBuiltin)
return Uint8Array.fromHex(hex);
const hl = hex.length;
const al = hl / 2;
if (hl % 2)
throw new Error("hex string expected, got unpadded hex of length " + hl);
const array = new Uint8Array(al);
for (let ai = 0, hi = 0;ai < al; ai++, hi += 2) {
const n1 = asciiToBase16(hex.charCodeAt(hi));
const n2 = asciiToBase16(hex.charCodeAt(hi + 1));
if (n1 === undefined || n2 === undefined) {
const char = hex[hi] + hex[hi + 1];
throw new Error('hex string expected, got non-hex character "' + char + '" at index ' + hi);
}
array[ai] = n1 * 16 + n2;
}
return array;
}
function utf8ToBytes(str) {
if (typeof str !== "string")
throw new Error("string expected");
return new Uint8Array(new TextEncoder().encode(str));
}
function toBytes(data) {
if (typeof data === "string")
data = utf8ToBytes(data);
abytes(data);
return data;
}
function concatBytes(...arrays) {
let sum = 0;
for (let i = 0;i < arrays.length; i++) {
const a = arrays[i];
abytes(a);
sum += a.length;
}
const res = new Uint8Array(sum);
for (let i = 0, pad = 0;i < arrays.length; i++) {
const a = arrays[i];
res.set(a, pad);
pad += a.length;
}
return res;
}
class Hash {
}
function createHasher(hashCons) {
const hashC = (msg) => hashCons().update(toBytes(msg)).digest();
const tmp = hashCons();
hashC.outputLen = tmp.outputLen;
hashC.blockLen = tmp.blockLen;
hashC.create = () => hashCons();
return hashC;
}
function randomBytes(bytesLength = 32) {
if (crypto && typeof crypto.getRandomValues === "function") {
return crypto.getRandomValues(new Uint8Array(bytesLength));
}
if (crypto && typeof crypto.randomBytes === "function") {
return Uint8Array.from(crypto.randomBytes(bytesLength));
}
throw new Error("crypto.getRandomValues must be defined");
}
// ../../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;
}
class HashMD 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/@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);
class SHA256 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];
}
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/@noble/hashes/esm/sha256.js
var sha2562 = sha256;
// ../../node_modules/@noble/hashes/esm/hmac.js
class HMAC 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/@noble/curves/esm/utils.js
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
var _0n = /* @__PURE__ */ BigInt(0);
var _1n = /* @__PURE__ */ BigInt(1);
function abool(title, value) {
if (typeof value !== "boolean")
throw new Error(title + " boolean expected, got " + value);
}
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 hex === "" ? _0n : BigInt("0x" + hex);
}
function bytesToNumberBE(bytes) {
return hexToNumber(bytesToHex(bytes));
}
function bytesToNumberLE(bytes) {
abytes(bytes);
return hexToNumber(bytesToHex(Uint8Array.from(bytes).reverse()));
}
function numberToBytesBE(n, len) {
return hexToBytes(n.toString(16).padStart(len * 2, "0"));
}
function numberToBytesLE(n, len) {
return numberToBytesBE(n, len).reverse();
}
function ensureBytes(title, hex, expectedLength) {
let res;
if (typeof hex === "string") {
try {
res = hexToBytes(hex);
} catch (e) {
throw new Error(title + " must be hex string or Uint8Array, cause: " + e);
}
} else if (isBytes(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 + " of length " + expectedLength + " expected, got " + len);
return res;
}
var isPosBig = (n) => typeof n === "bigint" && _0n <= n;
function inRange(n, min, max) {
return isPosBig(n) && isPosBig(min) && isPosBig(max) && min <= n && n < max;
}
function aInRange(title, n, min, max) {
if (!inRange(n, min, max))
throw new Error("expected valid " + title + ": " + min + " <= n < " + max + ", got " + n);
}
function bitLen(n) {
let len;
for (len = 0;n > _0n; n >>= _1n, len += 1)
;
return len;
}
var bitMask = (n) => (_1n << BigInt(n)) - _1n;
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");
const u8n = (len) => new Uint8Array(len);
const u8of = (byte) => Uint8Array.of(byte);
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(0)) => {
k = h(u8of(0), seed);
v = h();
if (seed.length === 0)
return;
k = h(u8of(1), seed);
v = h();
};
const gen = () => {
if (i++ >= 1000)
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 concatBytes(...out);
};
const genUntil = (seed, pred) => {
reset();
reseed(seed);
let res = undefined;
while (!(res = pred(gen())))
reseed();
reset();
return res;
};
return genUntil;
}
function _validateObject(object, fields, optFields = {}) {
if (!object || typeof object !== "object")
throw new Error("expected valid options object");
function checkField(fieldName, expectedType, isOpt) {
const val = object[fieldName];
if (isOpt && val === undefined)
return;
const current = typeof val;
if (current !== expectedType || val === null)
throw new Error(`param "${fieldName}" is invalid: expected ${expectedType}, got ${current}`);
}
Object.entries(fields).forEach(([k, v]) => checkField(k, v, false));
Object.entries(optFields).forEach(([k, v]) => checkField(k, v, true));
}
function memoized(fn) {
const map = new WeakMap;
return (arg, ...args) => {
const val = map.get(arg);
if (val !== undefined)
return val;
const computed = fn(arg, ...args);
map.set(arg, computed);
return computed;
};
}
// ../../node_modules/@noble/curves/esm/abstract/modular.js
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
var _0n2 = BigInt(0);
var _1n2 = 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 >= _0n2 ? result : b + result;
}
function pow2(x, power, modulo) {
let res = x;
while (power-- > _0n2) {
res *= res;
res %= modulo;
}
return res;
}
function invert(number, modulo) {
if (number === _0n2)
throw new Error("invert: expected non-zero number");
if (modulo <= _0n2)
throw new Error("invert: expected positive modulus, got " + 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 sqrt3mod4(Fp, n) {
const p1div4 = (Fp.ORDER + _1n2) / _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 - _1n2;
let S = 0;
while (Q % _2n === _0n2) {
Q /= _2n;
S++;
}
let Z = _2n;
const _Fp = Field(P);
while (FpLegendre(_Fp, Z) === 1) {
if (Z++ > 1000)
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 + _1n2) / _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 = _1n2 << 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, num, power) {
if (power < _0n2)
throw new Error("invalid exponent, negatives unsupported");
if (power === _0n2)
return Fp.ONE;
if (power === _1n2)
return num;
let p = Fp.ONE;
let d = num;
while (power > _0n2) {
if (power & _1n2)
p = Fp.mul(p, d);
d = Fp.sqr(d);
power >>= _1n2;
}
return p;
}
function FpInvertBatch(Fp, nums, passZero = false) {
const inverted = new Array(nums.length).fill(passZero ? Fp.ZERO : undefined);
const multipliedAcc = nums.reduce((acc, num, i) => {
if (Fp.is0(num))
return acc;
inverted[i] = acc;
return Fp.mul(acc, num);
}, Fp.ONE);
const invertedAcc = Fp.inv(multipliedAcc);
nums.reduceRight((acc, num, i) => {
if (Fp.is0(num))
return acc;
inverted[i] = Fp.mul(acc, inverted[i]);
return Fp.mul(acc, num);
}, invertedAcc);
return inverted;
}
function FpLegendre(Fp, n) {
const p1mod2 = (Fp.ORDER - _1n2) / _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 !== undefined)
anumber(nBitLength);
const _nBitLength = nBitLength !== undefined ? nBitLength : n.toString(2).length;
const nByteLength = Math.ceil(_nBitLength / 8);
return { nBitLength: _nBitLength, nByteLength };
}
function Field(ORDER, bitLenOrOpts, isLE = false, opts = {}) {
if (ORDER <= _0n2)
throw new Error("invalid field: expected ORDER > 0, got " + ORDER);
let _nbitLength = undefined;
let _sqrt = undefined;
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: _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,
isValidNot0: (num) => !f.is0(num) && f.isValid(num),
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),
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: _sqrt || ((n) => {
if (!sqrtP)
sqrtP = FpSqrt(ORDER);
return sqrtP(f, n);
}),
toBytes: (num) => isLE ? numberToBytesLE(num, BYTES) : numberToBytesBE(num, BYTES),
fromBytes: (bytes) => {
if (bytes.length !== BYTES)
throw new Error("Field.fromBytes: expected " + BYTES + " bytes, got " + bytes.length);
return isLE ? bytesToNumberLE(bytes) : bytesToNumberBE(bytes);
},
invertBatch: (lst) => FpInvertBatch(f, lst),
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 num = isLE ? bytesToNumberLE(key) : bytesToNumberBE(key);
const reduced = mod(num, fieldOrder - _1n2) + _1n2;
return isLE ? numberToBytesLE(reduced, fieldLen) : numberToBytesBE(reduced, fieldLen);
}
// ../../node_modules/@noble/curves/esm/abstract/curve.js
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
var _0n3 = BigInt(0);
var _1n3 = 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 += _1n3;
}
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 = new WeakMap;
var pointWindowSizes = new WeakMap;
function getW(P) {
return pointWindowSizes.get(P) || 1;
}
function assert0(n) {
if (n !== _0n3)
throw new Error("invalid wNAF");
}
function wNAF(c, bits) {
return {
constTimeNegate: negateCt,
hasPrecomputes(elm) {
return getW(elm) !== 1;
},
unsafeLadder(elm, n, p = c.ZERO) {
let d = elm;
while (n > _0n3) {
if (n & _1n3)
p = p.add(d);
d = d.double();
n >>= _1n3;
}
return p;
},
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;
},
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 };
},
wNAFUnsafe(W, precomputes, n, acc = c.ZERO) {
const wo = calcWOpts(W, bits);
for (let window = 0;window < wo.windows; window++) {
if (n === _0n3)
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);
},
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 > _0n3 || k2 > _0n3) {
if (k1 & _1n3)
p1 = p1.add(acc);
if (k2 & _1n3)
p2 = p2.add(acc);
acc = acc.double();
k1 >>= _1n3;
k2 >>= _1n3;
}
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 ${type} CURVE object`);
for (const p of ["p", "n", "h"]) {
const val = CURVE[p];
if (!(typeof val === "bigint" && val > _0n3))
throw new Error(`CURVE.${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/@noble/curves/esm/abstract/weierstrass.js
/*! noble-curves - MIT License (c) 2022 Paul Miller (paulmillr.com) */
function validateSigVerOpts(opts) {
if (opts.lowS !== undefined)
abool("lowS", opts.lowS);
if (opts.prehash !== undefined)
abool("prehash", opts.prehash);
}
class DERErr extends Error {
constructor(m = "") {
super(m);
}
}
var DER = {
Err: DERErr,
_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;
},
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) };
}
},
_int: {
encode(num) {
const { Err: E } = DER;
if (num < _0n4)
throw new E("integer: negative integers are not allowed");
let hex = numberToHexUnpadded(num);
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 _0n4 = BigInt(0);
var _1n4 = 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 num;
if (typeof key === "bigint") {
num = 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 {
num = Fn.fromBytes(bytes);
} catch (error) {
throw new Error(`invalid private key: expected ui8a of size ${expected}, got ${typeof key}`);
}
}
if (wrapPrivateKey)
num = Fn.create(num);
if (!Fn.isValidNot0(num))
throw new Error("invalid private key: out of range [1..N-1]");
return num;
}
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 pointToBytes(_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 || pointToBytes;
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 Point))
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 Point(Fp.mul(k2p.px, endoBeta), k2p.py, k2p.pz);
k1p = negateCt(k1neg, k1p);
k2p = negateCt(k2neg, k2p);
return k1p.add(k2p);
}
class Point {
constructor(px, py, pz) {
this.px = acoord("x", px);
this.py = acoord("y", py, true);
this.pz = acoord("z", pz);
Object.freeze(this);
}
static fromAffine(p) {
const { x, y } = p || {};
if (!p || !Fp.isValid(x) || !Fp.isValid(y))
throw new Error("invalid affine point");
if (p instanceof Point)
throw new Error("projective point not allowed");
if (Fp.is0(x) && Fp.is0(y))
return Point.ZERO;
return new Point(x, y, Fp.ONE);
}
get x() {
return this.toAffine().x;
}
get y() {
return this.toAffine().y;
}
static normalizeZ(points) {
return normalizeZ(Point, "pz", points);
}
static fromBytes(bytes) {
abytes(bytes);
return Point.fromHex(bytes);
}
static fromHex(hex) {
const P = Point.fromAffine(fromBytes(ensureBytes("pointHex", hex)));
P.assertValidity();
return P;
}
static fromPrivateKey(privateKey) {
const normPrivateKeyToScalar = _legacyHelperNormPriv(Fn, curveOpts.allowedPrivateKeyLengths, curveOpts.wrapPrivateKey);
return Point.BASE.multiply(normPrivateKeyToScalar(privateKey));
}
static msm(points, scalars) {
return pippenger(Point, Fn, points, scalars);
}
precompute(windowSize = 8, isLazy = true) {
wnaf.setWindowSize(this, windowSize);
if (!isLazy)
this.multiply(_3n2);
return this;
}
_setWindowSize(windowSize) {
this.precompute(windowSize);
}
assertValidity() {
assertValidMemo(this);
}
hasEvenY() {
const { y } = this.toAffine();
if (!Fp.isOdd)
throw new Error("Field doesn't support isOdd");
return !Fp.isOdd(y);
}
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;
}
negate() {
return new Point(this.px, Fp.neg(this.py), this.pz);
}
double() {
const { a, b } = CURVE;
const b3 = Fp.mul(b, _3n2);
const { px: X1, py: Y1, pz: Z1 } = this;
let { ZERO: X3, ZERO: Y3, ZERO: Z3 } = Fp;
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 Point(X3, Y3, Z3);
}
add(other) {
aprjpoint(other);
const { px: X1, py: Y1, pz: Z1 } = this;
const { px: X2, py: Y2, pz: Z2 } = other;
let { ZERO: X3, ZERO: Y3, ZERO: Z3 } = Fp;
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 Point(X3, Y3, Z3);
}
subtract(other) {
return this.add(other.negate());
}
is0() {
return this.equals(Point.ZERO);
}
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, Point.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 Point.normalizeZ([point, fake])[0];
}
multiplyUnsafe(sc) {
const { endo: endo2 } = curveOpts;
const p = this;
if (!Fn.isValid(sc))
throw new Error("invalid scalar: out of range");
if (sc === _0n4 || p.is0())
return Point.ZERO;
if (sc === _1n4)
return p;
if (wnaf.hasPrecomputes(this))
return this.multiply(sc);
if (endo2) {
const { k1neg, k1, k2neg, k2 } = endo2.splitScalar(sc);
const { p1, p2 } = mulEndoUnsafe(Point, 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() ? undefined : sum;
}
toAffine(invertedZ) {
return toAffineMemo(this, invertedZ);
}
isTorsionFree() {
const { isTorsionFree } = curveOpts;
if (cofactor === _1n4)
return true;
if (isTorsionFree)
return isTorsionFree(Point, this);
return wnaf.wNAFCachedUnsafe(this, CURVE_ORDER).is0();
}
clearCofactor() {
const { clearCofactor } = curveOpts;
if (cofactor === _1n4)
return this;
if (clearCofactor)
return clearCofactor(Point, this);
return this.multiplyUnsafe(cofactor);
}
toBytes(isCompressed = true) {
abool("isCompressed", isCompressed);
this.assertValidity();
return toBytes2(Point, this, isCompressed);
}
toRawBytes(isCompressed = true) {
return this.toBytes(isCompressed);
}
toHex(isCompressed = true) {
return bytesToHex(this.toBytes(isCompressed));
}
toString() {
return `<Point ${this.is0() ? "ZERO" : this.toHex()}>`;
}
}
Point.BASE = new Point(CURVE.Gx, CURVE.Gy, Fp.ONE);
Point.ZERO = new Point(Fp.ZERO, Fp.ONE, Fp.ZERO);
Point.Fp = Fp;
Point.Fn = Fn;
const bits = Fn.BITS;
const wnaf = wNAF(Point, curveOpts.endo ? Math.ceil(bits / 2) : bits);
return Point;
}
function pprefix(hasEvenY) {
return Uint8Array.of(hasEvenY ? 2 : 3);
}
function ecdsa(Point, ecdsaOpts, curveOpts = {}) {
_validateObject(ecdsaOpts, { hash: "function" }, {
hmac: "function",
lowS: "boolean",
randomBytes: "function",
bits2int: "function",
bits2int_modN: "function"
});
const randomBytes_ = ecdsaOpts.ra