Files
ffjavascript/build/main.js
Jordi Baylina 8ebc6c278f build
2020-07-11 09:38:42 +02:00

7364 lines
444 KiB
JavaScript

'use strict';
Object.defineProperty(exports, '__esModule', { value: true });
function _interopDefault (ex) { return (ex && (typeof ex === 'object') && 'default' in ex) ? ex['default'] : ex; }
var crypto = _interopDefault(require('crypto'));
var os = _interopDefault(require('os'));
var NodeWorker_mod = _interopDefault(require('worker_threads'));
/* global BigInt */
const hexLen = [ 0, 1, 2, 2, 3, 3, 3, 3, 4 ,4 ,4 ,4 ,4 ,4 ,4 ,4];
function fromString(s, radix) {
if ((!radix)||(radix==10)) {
return BigInt(s);
} else if (radix==16) {
if (s.slice(0,2) == "0x") {
return BigInt(s);
} else {
return BigInt("0x"+s);
}
}
}
const e = fromString;
function fromArray(a, radix) {
let acc =0n;
radix = BigInt(radix);
for (let i=0; i<a.length; i++) {
acc = acc*radix + BigInt(a[i]);
}
return acc;
}
function bitLength(a) {
const aS =a.toString(16);
return (aS.length-1)*4 +hexLen[parseInt(aS[0], 16)];
}
function isNegative(a) {
return BigInt(a) < 0n;
}
function isZero(a) {
return !a;
}
function shiftLeft(a, n) {
return BigInt(a) << BigInt(n);
}
function shiftRight(a, n) {
return BigInt(a) >> BigInt(n);
}
const shl = shiftLeft;
const shr = shiftRight;
function isOdd(a) {
return (BigInt(a) & 1n) == 1n;
}
function naf(n) {
let E = BigInt(n);
const res = [];
while (E) {
if (E & 1n) {
const z = 2 - Number(E % 4n);
res.push( z );
E = E - BigInt(z);
} else {
res.push( 0 );
}
E = E >> 1n;
}
return res;
}
function bits(n) {
let E = BigInt(n);
const res = [];
while (E) {
if (E & 1n) {
res.push(1);
} else {
res.push( 0 );
}
E = E >> 1n;
}
return res;
}
function toNumber(s) {
if (s>BigInt(Number.MAX_SAFE_INTEGER )) {
throw new Error("Number too big");
}
return Number(s);
}
function toArray(s, radix) {
const res = [];
let rem = BigInt(s);
radix = BigInt(radix);
while (rem) {
res.unshift( Number(rem % radix));
rem = rem / radix;
}
return res;
}
function add(a, b) {
return BigInt(a) + BigInt(b);
}
function sub(a, b) {
return BigInt(a) - BigInt(b);
}
function neg(a) {
return -BigInt(a);
}
function mul(a, b) {
return BigInt(a) * BigInt(b);
}
function square(a) {
return BigInt(a) * BigInt(a);
}
function pow(a, b) {
return BigInt(a) ** BigInt(b);
}
function exp(a, b) {
return BigInt(a) ** BigInt(b);
}
function abs(a) {
return BigInt(a) >= 0 ? BigInt(a) : -BigInt(a);
}
function div(a, b) {
return BigInt(a) / BigInt(b);
}
function mod(a, b) {
return BigInt(a) % BigInt(b);
}
function eq(a, b) {
return BigInt(a) == BigInt(b);
}
function neq(a, b) {
return BigInt(a) != BigInt(b);
}
function lt(a, b) {
return BigInt(a) < BigInt(b);
}
function gt(a, b) {
return BigInt(a) > BigInt(b);
}
function leq(a, b) {
return BigInt(a) <= BigInt(b);
}
function geq(a, b) {
return BigInt(a) >= BigInt(b);
}
function band(a, b) {
return BigInt(a) & BigInt(b);
}
function bor(a, b) {
return BigInt(a) | BigInt(b);
}
function bxor(a, b) {
return BigInt(a) ^ BigInt(b);
}
function land(a, b) {
return BigInt(a) && BigInt(b);
}
function lor(a, b) {
return BigInt(a) || BigInt(b);
}
function lnot(a) {
return !BigInt(a);
}
var Scalar_native = /*#__PURE__*/Object.freeze({
__proto__: null,
fromString: fromString,
e: e,
fromArray: fromArray,
bitLength: bitLength,
isNegative: isNegative,
isZero: isZero,
shiftLeft: shiftLeft,
shiftRight: shiftRight,
shl: shl,
shr: shr,
isOdd: isOdd,
naf: naf,
bits: bits,
toNumber: toNumber,
toArray: toArray,
add: add,
sub: sub,
neg: neg,
mul: mul,
square: square,
pow: pow,
exp: exp,
abs: abs,
div: div,
mod: mod,
eq: eq,
neq: neq,
lt: lt,
gt: gt,
leq: leq,
geq: geq,
band: band,
bor: bor,
bxor: bxor,
land: land,
lor: lor,
lnot: lnot
});
function createCommonjsModule(fn, module) {
return module = { exports: {} }, fn(module, module.exports), module.exports;
}
var BigInteger = createCommonjsModule(function (module) {
var bigInt = (function (undefined$1) {
var BASE = 1e7,
LOG_BASE = 7,
MAX_INT = 9007199254740992,
MAX_INT_ARR = smallToArray(MAX_INT),
DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
var supportsNativeBigInt = typeof BigInt === "function";
function Integer(v, radix, alphabet, caseSensitive) {
if (typeof v === "undefined") return Integer[0];
if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive);
return parseValue(v);
}
function BigInteger(value, sign) {
this.value = value;
this.sign = sign;
this.isSmall = false;
}
BigInteger.prototype = Object.create(Integer.prototype);
function SmallInteger(value) {
this.value = value;
this.sign = value < 0;
this.isSmall = true;
}
SmallInteger.prototype = Object.create(Integer.prototype);
function NativeBigInt(value) {
this.value = value;
}
NativeBigInt.prototype = Object.create(Integer.prototype);
function isPrecise(n) {
return -MAX_INT < n && n < MAX_INT;
}
function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
if (n < 1e7)
return [n];
if (n < 1e14)
return [n % 1e7, Math.floor(n / 1e7)];
return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)];
}
function arrayToSmall(arr) { // If BASE changes this function may need to change
trim(arr);
var length = arr.length;
if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) {
switch (length) {
case 0: return 0;
case 1: return arr[0];
case 2: return arr[0] + arr[1] * BASE;
default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE;
}
}
return arr;
}
function trim(v) {
var i = v.length;
while (v[--i] === 0);
v.length = i + 1;
}
function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
var x = new Array(length);
var i = -1;
while (++i < length) {
x[i] = 0;
}
return x;
}
function truncate(n) {
if (n > 0) return Math.floor(n);
return Math.ceil(n);
}
function add(a, b) { // assumes a and b are arrays with a.length >= b.length
var l_a = a.length,
l_b = b.length,
r = new Array(l_a),
carry = 0,
base = BASE,
sum, i;
for (i = 0; i < l_b; i++) {
sum = a[i] + b[i] + carry;
carry = sum >= base ? 1 : 0;
r[i] = sum - carry * base;
}
while (i < l_a) {
sum = a[i] + carry;
carry = sum === base ? 1 : 0;
r[i++] = sum - carry * base;
}
if (carry > 0) r.push(carry);
return r;
}
function addAny(a, b) {
if (a.length >= b.length) return add(a, b);
return add(b, a);
}
function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
var l = a.length,
r = new Array(l),
base = BASE,
sum, i;
for (i = 0; i < l; i++) {
sum = a[i] - base + carry;
carry = Math.floor(sum / base);
r[i] = sum - carry * base;
carry += 1;
}
while (carry > 0) {
r[i++] = carry % base;
carry = Math.floor(carry / base);
}
return r;
}
BigInteger.prototype.add = function (v) {
var n = parseValue(v);
if (this.sign !== n.sign) {
return this.subtract(n.negate());
}
var a = this.value, b = n.value;
if (n.isSmall) {
return new BigInteger(addSmall(a, Math.abs(b)), this.sign);
}
return new BigInteger(addAny(a, b), this.sign);
};
BigInteger.prototype.plus = BigInteger.prototype.add;
SmallInteger.prototype.add = function (v) {
var n = parseValue(v);
var a = this.value;
if (a < 0 !== n.sign) {
return this.subtract(n.negate());
}
var b = n.value;
if (n.isSmall) {
if (isPrecise(a + b)) return new SmallInteger(a + b);
b = smallToArray(Math.abs(b));
}
return new BigInteger(addSmall(b, Math.abs(a)), a < 0);
};
SmallInteger.prototype.plus = SmallInteger.prototype.add;
NativeBigInt.prototype.add = function (v) {
return new NativeBigInt(this.value + parseValue(v).value);
};
NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
function subtract(a, b) { // assumes a and b are arrays with a >= b
var a_l = a.length,
b_l = b.length,
r = new Array(a_l),
borrow = 0,
base = BASE,
i, difference;
for (i = 0; i < b_l; i++) {
difference = a[i] - borrow - b[i];
if (difference < 0) {
difference += base;
borrow = 1;
} else borrow = 0;
r[i] = difference;
}
for (i = b_l; i < a_l; i++) {
difference = a[i] - borrow;
if (difference < 0) difference += base;
else {
r[i++] = difference;
break;
}
r[i] = difference;
}
for (; i < a_l; i++) {
r[i] = a[i];
}
trim(r);
return r;
}
function subtractAny(a, b, sign) {
var value;
if (compareAbs(a, b) >= 0) {
value = subtract(a, b);
} else {
value = subtract(b, a);
sign = !sign;
}
value = arrayToSmall(value);
if (typeof value === "number") {
if (sign) value = -value;
return new SmallInteger(value);
}
return new BigInteger(value, sign);
}
function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
var l = a.length,
r = new Array(l),
carry = -b,
base = BASE,
i, difference;
for (i = 0; i < l; i++) {
difference = a[i] + carry;
carry = Math.floor(difference / base);
difference %= base;
r[i] = difference < 0 ? difference + base : difference;
}
r = arrayToSmall(r);
if (typeof r === "number") {
if (sign) r = -r;
return new SmallInteger(r);
} return new BigInteger(r, sign);
}
BigInteger.prototype.subtract = function (v) {
var n = parseValue(v);
if (this.sign !== n.sign) {
return this.add(n.negate());
}
var a = this.value, b = n.value;
if (n.isSmall)
return subtractSmall(a, Math.abs(b), this.sign);
return subtractAny(a, b, this.sign);
};
BigInteger.prototype.minus = BigInteger.prototype.subtract;
SmallInteger.prototype.subtract = function (v) {
var n = parseValue(v);
var a = this.value;
if (a < 0 !== n.sign) {
return this.add(n.negate());
}
var b = n.value;
if (n.isSmall) {
return new SmallInteger(a - b);
}
return subtractSmall(b, Math.abs(a), a >= 0);
};
SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
NativeBigInt.prototype.subtract = function (v) {
return new NativeBigInt(this.value - parseValue(v).value);
};
NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
BigInteger.prototype.negate = function () {
return new BigInteger(this.value, !this.sign);
};
SmallInteger.prototype.negate = function () {
var sign = this.sign;
var small = new SmallInteger(-this.value);
small.sign = !sign;
return small;
};
NativeBigInt.prototype.negate = function () {
return new NativeBigInt(-this.value);
};
BigInteger.prototype.abs = function () {
return new BigInteger(this.value, false);
};
SmallInteger.prototype.abs = function () {
return new SmallInteger(Math.abs(this.value));
};
NativeBigInt.prototype.abs = function () {
return new NativeBigInt(this.value >= 0 ? this.value : -this.value);
};
function multiplyLong(a, b) {
var a_l = a.length,
b_l = b.length,
l = a_l + b_l,
r = createArray(l),
base = BASE,
product, carry, i, a_i, b_j;
for (i = 0; i < a_l; ++i) {
a_i = a[i];
for (var j = 0; j < b_l; ++j) {
b_j = b[j];
product = a_i * b_j + r[i + j];
carry = Math.floor(product / base);
r[i + j] = product - carry * base;
r[i + j + 1] += carry;
}
}
trim(r);
return r;
}
function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
var l = a.length,
r = new Array(l),
base = BASE,
carry = 0,
product, i;
for (i = 0; i < l; i++) {
product = a[i] * b + carry;
carry = Math.floor(product / base);
r[i] = product - carry * base;
}
while (carry > 0) {
r[i++] = carry % base;
carry = Math.floor(carry / base);
}
return r;
}
function shiftLeft(x, n) {
var r = [];
while (n-- > 0) r.push(0);
return r.concat(x);
}
function multiplyKaratsuba(x, y) {
var n = Math.max(x.length, y.length);
if (n <= 30) return multiplyLong(x, y);
n = Math.ceil(n / 2);
var b = x.slice(n),
a = x.slice(0, n),
d = y.slice(n),
c = y.slice(0, n);
var ac = multiplyKaratsuba(a, c),
bd = multiplyKaratsuba(b, d),
abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n));
trim(product);
return product;
}
// The following function is derived from a surface fit of a graph plotting the performance difference
// between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
function useKaratsuba(l1, l2) {
return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0;
}
BigInteger.prototype.multiply = function (v) {
var n = parseValue(v),
a = this.value, b = n.value,
sign = this.sign !== n.sign,
abs;
if (n.isSmall) {
if (b === 0) return Integer[0];
if (b === 1) return this;
if (b === -1) return this.negate();
abs = Math.abs(b);
if (abs < BASE) {
return new BigInteger(multiplySmall(a, abs), sign);
}
b = smallToArray(abs);
}
if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
return new BigInteger(multiplyKaratsuba(a, b), sign);
return new BigInteger(multiplyLong(a, b), sign);
};
BigInteger.prototype.times = BigInteger.prototype.multiply;
function multiplySmallAndArray(a, b, sign) { // a >= 0
if (a < BASE) {
return new BigInteger(multiplySmall(b, a), sign);
}
return new BigInteger(multiplyLong(b, smallToArray(a)), sign);
}
SmallInteger.prototype._multiplyBySmall = function (a) {
if (isPrecise(a.value * this.value)) {
return new SmallInteger(a.value * this.value);
}
return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign);
};
BigInteger.prototype._multiplyBySmall = function (a) {
if (a.value === 0) return Integer[0];
if (a.value === 1) return this;
if (a.value === -1) return this.negate();
return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign);
};
SmallInteger.prototype.multiply = function (v) {
return parseValue(v)._multiplyBySmall(this);
};
SmallInteger.prototype.times = SmallInteger.prototype.multiply;
NativeBigInt.prototype.multiply = function (v) {
return new NativeBigInt(this.value * parseValue(v).value);
};
NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
function square(a) {
//console.assert(2 * BASE * BASE < MAX_INT);
var l = a.length,
r = createArray(l + l),
base = BASE,
product, carry, i, a_i, a_j;
for (i = 0; i < l; i++) {
a_i = a[i];
carry = 0 - a_i * a_i;
for (var j = i; j < l; j++) {
a_j = a[j];
product = 2 * (a_i * a_j) + r[i + j] + carry;
carry = Math.floor(product / base);
r[i + j] = product - carry * base;
}
r[i + l] = carry;
}
trim(r);
return r;
}
BigInteger.prototype.square = function () {
return new BigInteger(square(this.value), false);
};
SmallInteger.prototype.square = function () {
var value = this.value * this.value;
if (isPrecise(value)) return new SmallInteger(value);
return new BigInteger(square(smallToArray(Math.abs(this.value))), false);
};
NativeBigInt.prototype.square = function (v) {
return new NativeBigInt(this.value * this.value);
};
function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
var a_l = a.length,
b_l = b.length,
base = BASE,
result = createArray(b.length),
divisorMostSignificantDigit = b[b_l - 1],
// normalization
lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)),
remainder = multiplySmall(a, lambda),
divisor = multiplySmall(b, lambda),
quotientDigit, shift, carry, borrow, i, l, q;
if (remainder.length <= a_l) remainder.push(0);
divisor.push(0);
divisorMostSignificantDigit = divisor[b_l - 1];
for (shift = a_l - b_l; shift >= 0; shift--) {
quotientDigit = base - 1;
if (remainder[shift + b_l] !== divisorMostSignificantDigit) {
quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit);
}
// quotientDigit <= base - 1
carry = 0;
borrow = 0;
l = divisor.length;
for (i = 0; i < l; i++) {
carry += quotientDigit * divisor[i];
q = Math.floor(carry / base);
borrow += remainder[shift + i] - (carry - q * base);
carry = q;
if (borrow < 0) {
remainder[shift + i] = borrow + base;
borrow = -1;
} else {
remainder[shift + i] = borrow;
borrow = 0;
}
}
while (borrow !== 0) {
quotientDigit -= 1;
carry = 0;
for (i = 0; i < l; i++) {
carry += remainder[shift + i] - base + divisor[i];
if (carry < 0) {
remainder[shift + i] = carry + base;
carry = 0;
} else {
remainder[shift + i] = carry;
carry = 1;
}
}
borrow += carry;
}
result[shift] = quotientDigit;
}
// denormalization
remainder = divModSmall(remainder, lambda)[0];
return [arrayToSmall(result), arrayToSmall(remainder)];
}
function divMod2(a, b) { // Implementation idea shamelessly stolen from Silent Matt's library http://silentmatt.com/biginteger/
// Performs faster than divMod1 on larger input sizes.
var a_l = a.length,
b_l = b.length,
result = [],
part = [],
base = BASE,
guess, xlen, highx, highy, check;
while (a_l) {
part.unshift(a[--a_l]);
trim(part);
if (compareAbs(part, b) < 0) {
result.push(0);
continue;
}
xlen = part.length;
highx = part[xlen - 1] * base + part[xlen - 2];
highy = b[b_l - 1] * base + b[b_l - 2];
if (xlen > b_l) {
highx = (highx + 1) * base;
}
guess = Math.ceil(highx / highy);
do {
check = multiplySmall(b, guess);
if (compareAbs(check, part) <= 0) break;
guess--;
} while (guess);
result.push(guess);
part = subtract(part, check);
}
result.reverse();
return [arrayToSmall(result), arrayToSmall(part)];
}
function divModSmall(value, lambda) {
var length = value.length,
quotient = createArray(length),
base = BASE,
i, q, remainder, divisor;
remainder = 0;
for (i = length - 1; i >= 0; --i) {
divisor = remainder * base + value[i];
q = truncate(divisor / lambda);
remainder = divisor - q * lambda;
quotient[i] = q | 0;
}
return [quotient, remainder | 0];
}
function divModAny(self, v) {
var value, n = parseValue(v);
if (supportsNativeBigInt) {
return [new NativeBigInt(self.value / n.value), new NativeBigInt(self.value % n.value)];
}
var a = self.value, b = n.value;
var quotient;
if (b === 0) throw new Error("Cannot divide by zero");
if (self.isSmall) {
if (n.isSmall) {
return [new SmallInteger(truncate(a / b)), new SmallInteger(a % b)];
}
return [Integer[0], self];
}
if (n.isSmall) {
if (b === 1) return [self, Integer[0]];
if (b == -1) return [self.negate(), Integer[0]];
var abs = Math.abs(b);
if (abs < BASE) {
value = divModSmall(a, abs);
quotient = arrayToSmall(value[0]);
var remainder = value[1];
if (self.sign) remainder = -remainder;
if (typeof quotient === "number") {
if (self.sign !== n.sign) quotient = -quotient;
return [new SmallInteger(quotient), new SmallInteger(remainder)];
}
return [new BigInteger(quotient, self.sign !== n.sign), new SmallInteger(remainder)];
}
b = smallToArray(abs);
}
var comparison = compareAbs(a, b);
if (comparison === -1) return [Integer[0], self];
if (comparison === 0) return [Integer[self.sign === n.sign ? 1 : -1], Integer[0]];
// divMod1 is faster on smaller input sizes
if (a.length + b.length <= 200)
value = divMod1(a, b);
else value = divMod2(a, b);
quotient = value[0];
var qSign = self.sign !== n.sign,
mod = value[1],
mSign = self.sign;
if (typeof quotient === "number") {
if (qSign) quotient = -quotient;
quotient = new SmallInteger(quotient);
} else quotient = new BigInteger(quotient, qSign);
if (typeof mod === "number") {
if (mSign) mod = -mod;
mod = new SmallInteger(mod);
} else mod = new BigInteger(mod, mSign);
return [quotient, mod];
}
BigInteger.prototype.divmod = function (v) {
var result = divModAny(this, v);
return {
quotient: result[0],
remainder: result[1]
};
};
NativeBigInt.prototype.divmod = SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
BigInteger.prototype.divide = function (v) {
return divModAny(this, v)[0];
};
NativeBigInt.prototype.over = NativeBigInt.prototype.divide = function (v) {
return new NativeBigInt(this.value / parseValue(v).value);
};
SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over = BigInteger.prototype.divide;
BigInteger.prototype.mod = function (v) {
return divModAny(this, v)[1];
};
NativeBigInt.prototype.mod = NativeBigInt.prototype.remainder = function (v) {
return new NativeBigInt(this.value % parseValue(v).value);
};
SmallInteger.prototype.remainder = SmallInteger.prototype.mod = BigInteger.prototype.remainder = BigInteger.prototype.mod;
BigInteger.prototype.pow = function (v) {
var n = parseValue(v),
a = this.value,
b = n.value,
value, x, y;
if (b === 0) return Integer[1];
if (a === 0) return Integer[0];
if (a === 1) return Integer[1];
if (a === -1) return n.isEven() ? Integer[1] : Integer[-1];
if (n.sign) {
return Integer[0];
}
if (!n.isSmall) throw new Error("The exponent " + n.toString() + " is too large.");
if (this.isSmall) {
if (isPrecise(value = Math.pow(a, b)))
return new SmallInteger(truncate(value));
}
x = this;
y = Integer[1];
while (true) {
if (b & 1 === 1) {
y = y.times(x);
--b;
}
if (b === 0) break;
b /= 2;
x = x.square();
}
return y;
};
SmallInteger.prototype.pow = BigInteger.prototype.pow;
NativeBigInt.prototype.pow = function (v) {
var n = parseValue(v);
var a = this.value, b = n.value;
var _0 = BigInt(0), _1 = BigInt(1), _2 = BigInt(2);
if (b === _0) return Integer[1];
if (a === _0) return Integer[0];
if (a === _1) return Integer[1];
if (a === BigInt(-1)) return n.isEven() ? Integer[1] : Integer[-1];
if (n.isNegative()) return new NativeBigInt(_0);
var x = this;
var y = Integer[1];
while (true) {
if ((b & _1) === _1) {
y = y.times(x);
--b;
}
if (b === _0) break;
b /= _2;
x = x.square();
}
return y;
};
BigInteger.prototype.modPow = function (exp, mod) {
exp = parseValue(exp);
mod = parseValue(mod);
if (mod.isZero()) throw new Error("Cannot take modPow with modulus 0");
var r = Integer[1],
base = this.mod(mod);
if (exp.isNegative()) {
exp = exp.multiply(Integer[-1]);
base = base.modInv(mod);
}
while (exp.isPositive()) {
if (base.isZero()) return Integer[0];
if (exp.isOdd()) r = r.multiply(base).mod(mod);
exp = exp.divide(2);
base = base.square().mod(mod);
}
return r;
};
NativeBigInt.prototype.modPow = SmallInteger.prototype.modPow = BigInteger.prototype.modPow;
function compareAbs(a, b) {
if (a.length !== b.length) {
return a.length > b.length ? 1 : -1;
}
for (var i = a.length - 1; i >= 0; i--) {
if (a[i] !== b[i]) return a[i] > b[i] ? 1 : -1;
}
return 0;
}
BigInteger.prototype.compareAbs = function (v) {
var n = parseValue(v),
a = this.value,
b = n.value;
if (n.isSmall) return 1;
return compareAbs(a, b);
};
SmallInteger.prototype.compareAbs = function (v) {
var n = parseValue(v),
a = Math.abs(this.value),
b = n.value;
if (n.isSmall) {
b = Math.abs(b);
return a === b ? 0 : a > b ? 1 : -1;
}
return -1;
};
NativeBigInt.prototype.compareAbs = function (v) {
var a = this.value;
var b = parseValue(v).value;
a = a >= 0 ? a : -a;
b = b >= 0 ? b : -b;
return a === b ? 0 : a > b ? 1 : -1;
};
BigInteger.prototype.compare = function (v) {
// See discussion about comparison with Infinity:
// https://github.com/peterolson/BigInteger.js/issues/61
if (v === Infinity) {
return -1;
}
if (v === -Infinity) {
return 1;
}
var n = parseValue(v),
a = this.value,
b = n.value;
if (this.sign !== n.sign) {
return n.sign ? 1 : -1;
}
if (n.isSmall) {
return this.sign ? -1 : 1;
}
return compareAbs(a, b) * (this.sign ? -1 : 1);
};
BigInteger.prototype.compareTo = BigInteger.prototype.compare;
SmallInteger.prototype.compare = function (v) {
if (v === Infinity) {
return -1;
}
if (v === -Infinity) {
return 1;
}
var n = parseValue(v),
a = this.value,
b = n.value;
if (n.isSmall) {
return a == b ? 0 : a > b ? 1 : -1;
}
if (a < 0 !== n.sign) {
return a < 0 ? -1 : 1;
}
return a < 0 ? 1 : -1;
};
SmallInteger.prototype.compareTo = SmallInteger.prototype.compare;
NativeBigInt.prototype.compare = function (v) {
if (v === Infinity) {
return -1;
}
if (v === -Infinity) {
return 1;
}
var a = this.value;
var b = parseValue(v).value;
return a === b ? 0 : a > b ? 1 : -1;
};
NativeBigInt.prototype.compareTo = NativeBigInt.prototype.compare;
BigInteger.prototype.equals = function (v) {
return this.compare(v) === 0;
};
NativeBigInt.prototype.eq = NativeBigInt.prototype.equals = SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq = BigInteger.prototype.equals;
BigInteger.prototype.notEquals = function (v) {
return this.compare(v) !== 0;
};
NativeBigInt.prototype.neq = NativeBigInt.prototype.notEquals = SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq = BigInteger.prototype.notEquals;
BigInteger.prototype.greater = function (v) {
return this.compare(v) > 0;
};
NativeBigInt.prototype.gt = NativeBigInt.prototype.greater = SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt = BigInteger.prototype.greater;
BigInteger.prototype.lesser = function (v) {
return this.compare(v) < 0;
};
NativeBigInt.prototype.lt = NativeBigInt.prototype.lesser = SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt = BigInteger.prototype.lesser;
BigInteger.prototype.greaterOrEquals = function (v) {
return this.compare(v) >= 0;
};
NativeBigInt.prototype.geq = NativeBigInt.prototype.greaterOrEquals = SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq = BigInteger.prototype.greaterOrEquals;
BigInteger.prototype.lesserOrEquals = function (v) {
return this.compare(v) <= 0;
};
NativeBigInt.prototype.leq = NativeBigInt.prototype.lesserOrEquals = SmallInteger.prototype.leq = SmallInteger.prototype.lesserOrEquals = BigInteger.prototype.leq = BigInteger.prototype.lesserOrEquals;
BigInteger.prototype.isEven = function () {
return (this.value[0] & 1) === 0;
};
SmallInteger.prototype.isEven = function () {
return (this.value & 1) === 0;
};
NativeBigInt.prototype.isEven = function () {
return (this.value & BigInt(1)) === BigInt(0);
};
BigInteger.prototype.isOdd = function () {
return (this.value[0] & 1) === 1;
};
SmallInteger.prototype.isOdd = function () {
return (this.value & 1) === 1;
};
NativeBigInt.prototype.isOdd = function () {
return (this.value & BigInt(1)) === BigInt(1);
};
BigInteger.prototype.isPositive = function () {
return !this.sign;
};
SmallInteger.prototype.isPositive = function () {
return this.value > 0;
};
NativeBigInt.prototype.isPositive = SmallInteger.prototype.isPositive;
BigInteger.prototype.isNegative = function () {
return this.sign;
};
SmallInteger.prototype.isNegative = function () {
return this.value < 0;
};
NativeBigInt.prototype.isNegative = SmallInteger.prototype.isNegative;
BigInteger.prototype.isUnit = function () {
return false;
};
SmallInteger.prototype.isUnit = function () {
return Math.abs(this.value) === 1;
};
NativeBigInt.prototype.isUnit = function () {
return this.abs().value === BigInt(1);
};
BigInteger.prototype.isZero = function () {
return false;
};
SmallInteger.prototype.isZero = function () {
return this.value === 0;
};
NativeBigInt.prototype.isZero = function () {
return this.value === BigInt(0);
};
BigInteger.prototype.isDivisibleBy = function (v) {
var n = parseValue(v);
if (n.isZero()) return false;
if (n.isUnit()) return true;
if (n.compareAbs(2) === 0) return this.isEven();
return this.mod(n).isZero();
};
NativeBigInt.prototype.isDivisibleBy = SmallInteger.prototype.isDivisibleBy = BigInteger.prototype.isDivisibleBy;
function isBasicPrime(v) {
var n = v.abs();
if (n.isUnit()) return false;
if (n.equals(2) || n.equals(3) || n.equals(5)) return true;
if (n.isEven() || n.isDivisibleBy(3) || n.isDivisibleBy(5)) return false;
if (n.lesser(49)) return true;
// we don't know if it's prime: let the other functions figure it out
}
function millerRabinTest(n, a) {
var nPrev = n.prev(),
b = nPrev,
r = 0,
d, i, x;
while (b.isEven()) b = b.divide(2), r++;
next: for (i = 0; i < a.length; i++) {
if (n.lesser(a[i])) continue;
x = bigInt(a[i]).modPow(b, n);
if (x.isUnit() || x.equals(nPrev)) continue;
for (d = r - 1; d != 0; d--) {
x = x.square().mod(n);
if (x.isUnit()) return false;
if (x.equals(nPrev)) continue next;
}
return false;
}
return true;
}
// Set "strict" to true to force GRH-supported lower bound of 2*log(N)^2
BigInteger.prototype.isPrime = function (strict) {
var isPrime = isBasicPrime(this);
if (isPrime !== undefined$1) return isPrime;
var n = this.abs();
var bits = n.bitLength();
if (bits <= 64)
return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]);
var logN = Math.log(2) * bits.toJSNumber();
var t = Math.ceil((strict === true) ? (2 * Math.pow(logN, 2)) : logN);
for (var a = [], i = 0; i < t; i++) {
a.push(bigInt(i + 2));
}
return millerRabinTest(n, a);
};
NativeBigInt.prototype.isPrime = SmallInteger.prototype.isPrime = BigInteger.prototype.isPrime;
BigInteger.prototype.isProbablePrime = function (iterations, rng) {
var isPrime = isBasicPrime(this);
if (isPrime !== undefined$1) return isPrime;
var n = this.abs();
var t = iterations === undefined$1 ? 5 : iterations;
for (var a = [], i = 0; i < t; i++) {
a.push(bigInt.randBetween(2, n.minus(2), rng));
}
return millerRabinTest(n, a);
};
NativeBigInt.prototype.isProbablePrime = SmallInteger.prototype.isProbablePrime = BigInteger.prototype.isProbablePrime;
BigInteger.prototype.modInv = function (n) {
var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR;
while (!newR.isZero()) {
q = r.divide(newR);
lastT = t;
lastR = r;
t = newT;
r = newR;
newT = lastT.subtract(q.multiply(newT));
newR = lastR.subtract(q.multiply(newR));
}
if (!r.isUnit()) throw new Error(this.toString() + " and " + n.toString() + " are not co-prime");
if (t.compare(0) === -1) {
t = t.add(n);
}
if (this.isNegative()) {
return t.negate();
}
return t;
};
NativeBigInt.prototype.modInv = SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
BigInteger.prototype.next = function () {
var value = this.value;
if (this.sign) {
return subtractSmall(value, 1, this.sign);
}
return new BigInteger(addSmall(value, 1), this.sign);
};
SmallInteger.prototype.next = function () {
var value = this.value;
if (value + 1 < MAX_INT) return new SmallInteger(value + 1);
return new BigInteger(MAX_INT_ARR, false);
};
NativeBigInt.prototype.next = function () {
return new NativeBigInt(this.value + BigInt(1));
};
BigInteger.prototype.prev = function () {
var value = this.value;
if (this.sign) {
return new BigInteger(addSmall(value, 1), true);
}
return subtractSmall(value, 1, this.sign);
};
SmallInteger.prototype.prev = function () {
var value = this.value;
if (value - 1 > -MAX_INT) return new SmallInteger(value - 1);
return new BigInteger(MAX_INT_ARR, true);
};
NativeBigInt.prototype.prev = function () {
return new NativeBigInt(this.value - BigInt(1));
};
var powersOfTwo = [1];
while (2 * powersOfTwo[powersOfTwo.length - 1] <= BASE) powersOfTwo.push(2 * powersOfTwo[powersOfTwo.length - 1]);
var powers2Length = powersOfTwo.length, highestPower2 = powersOfTwo[powers2Length - 1];
function shift_isSmall(n) {
return Math.abs(n) <= BASE;
}
BigInteger.prototype.shiftLeft = function (v) {
var n = parseValue(v).toJSNumber();
if (!shift_isSmall(n)) {
throw new Error(String(n) + " is too large for shifting.");
}
if (n < 0) return this.shiftRight(-n);
var result = this;
if (result.isZero()) return result;
while (n >= powers2Length) {
result = result.multiply(highestPower2);
n -= powers2Length - 1;
}
return result.multiply(powersOfTwo[n]);
};
NativeBigInt.prototype.shiftLeft = SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
BigInteger.prototype.shiftRight = function (v) {
var remQuo;
var n = parseValue(v).toJSNumber();
if (!shift_isSmall(n)) {
throw new Error(String(n) + " is too large for shifting.");
}
if (n < 0) return this.shiftLeft(-n);
var result = this;
while (n >= powers2Length) {
if (result.isZero() || (result.isNegative() && result.isUnit())) return result;
remQuo = divModAny(result, highestPower2);
result = remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
n -= powers2Length - 1;
}
remQuo = divModAny(result, powersOfTwo[n]);
return remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
};
NativeBigInt.prototype.shiftRight = SmallInteger.prototype.shiftRight = BigInteger.prototype.shiftRight;
function bitwise(x, y, fn) {
y = parseValue(y);
var xSign = x.isNegative(), ySign = y.isNegative();
var xRem = xSign ? x.not() : x,
yRem = ySign ? y.not() : y;
var xDigit = 0, yDigit = 0;
var xDivMod = null, yDivMod = null;
var result = [];
while (!xRem.isZero() || !yRem.isZero()) {
xDivMod = divModAny(xRem, highestPower2);
xDigit = xDivMod[1].toJSNumber();
if (xSign) {
xDigit = highestPower2 - 1 - xDigit; // two's complement for negative numbers
}
yDivMod = divModAny(yRem, highestPower2);
yDigit = yDivMod[1].toJSNumber();
if (ySign) {
yDigit = highestPower2 - 1 - yDigit; // two's complement for negative numbers
}
xRem = xDivMod[0];
yRem = yDivMod[0];
result.push(fn(xDigit, yDigit));
}
var sum = fn(xSign ? 1 : 0, ySign ? 1 : 0) !== 0 ? bigInt(-1) : bigInt(0);
for (var i = result.length - 1; i >= 0; i -= 1) {
sum = sum.multiply(highestPower2).add(bigInt(result[i]));
}
return sum;
}
BigInteger.prototype.not = function () {
return this.negate().prev();
};
NativeBigInt.prototype.not = SmallInteger.prototype.not = BigInteger.prototype.not;
BigInteger.prototype.and = function (n) {
return bitwise(this, n, function (a, b) { return a & b; });
};
NativeBigInt.prototype.and = SmallInteger.prototype.and = BigInteger.prototype.and;
BigInteger.prototype.or = function (n) {
return bitwise(this, n, function (a, b) { return a | b; });
};
NativeBigInt.prototype.or = SmallInteger.prototype.or = BigInteger.prototype.or;
BigInteger.prototype.xor = function (n) {
return bitwise(this, n, function (a, b) { return a ^ b; });
};
NativeBigInt.prototype.xor = SmallInteger.prototype.xor = BigInteger.prototype.xor;
var LOBMASK_I = 1 << 30, LOBMASK_BI = (BASE & -BASE) * (BASE & -BASE) | LOBMASK_I;
function roughLOB(n) { // get lowestOneBit (rough)
// SmallInteger: return Min(lowestOneBit(n), 1 << 30)
// BigInteger: return Min(lowestOneBit(n), 1 << 14) [BASE=1e7]
var v = n.value,
x = typeof v === "number" ? v | LOBMASK_I :
typeof v === "bigint" ? v | BigInt(LOBMASK_I) :
v[0] + v[1] * BASE | LOBMASK_BI;
return x & -x;
}
function integerLogarithm(value, base) {
if (base.compareTo(value) <= 0) {
var tmp = integerLogarithm(value, base.square(base));
var p = tmp.p;
var e = tmp.e;
var t = p.multiply(base);
return t.compareTo(value) <= 0 ? { p: t, e: e * 2 + 1 } : { p: p, e: e * 2 };
}
return { p: bigInt(1), e: 0 };
}
BigInteger.prototype.bitLength = function () {
var n = this;
if (n.compareTo(bigInt(0)) < 0) {
n = n.negate().subtract(bigInt(1));
}
if (n.compareTo(bigInt(0)) === 0) {
return bigInt(0);
}
return bigInt(integerLogarithm(n, bigInt(2)).e).add(bigInt(1));
};
NativeBigInt.prototype.bitLength = SmallInteger.prototype.bitLength = BigInteger.prototype.bitLength;
function max(a, b) {
a = parseValue(a);
b = parseValue(b);
return a.greater(b) ? a : b;
}
function min(a, b) {
a = parseValue(a);
b = parseValue(b);
return a.lesser(b) ? a : b;
}
function gcd(a, b) {
a = parseValue(a).abs();
b = parseValue(b).abs();
if (a.equals(b)) return a;
if (a.isZero()) return b;
if (b.isZero()) return a;
var c = Integer[1], d, t;
while (a.isEven() && b.isEven()) {
d = min(roughLOB(a), roughLOB(b));
a = a.divide(d);
b = b.divide(d);
c = c.multiply(d);
}
while (a.isEven()) {
a = a.divide(roughLOB(a));
}
do {
while (b.isEven()) {
b = b.divide(roughLOB(b));
}
if (a.greater(b)) {
t = b; b = a; a = t;
}
b = b.subtract(a);
} while (!b.isZero());
return c.isUnit() ? a : a.multiply(c);
}
function lcm(a, b) {
a = parseValue(a).abs();
b = parseValue(b).abs();
return a.divide(gcd(a, b)).multiply(b);
}
function randBetween(a, b, rng) {
a = parseValue(a);
b = parseValue(b);
var usedRNG = rng || Math.random;
var low = min(a, b), high = max(a, b);
var range = high.subtract(low).add(1);
if (range.isSmall) return low.add(Math.floor(usedRNG() * range));
var digits = toBase(range, BASE).value;
var result = [], restricted = true;
for (var i = 0; i < digits.length; i++) {
var top = restricted ? digits[i] : BASE;
var digit = truncate(usedRNG() * top);
result.push(digit);
if (digit < top) restricted = false;
}
return low.add(Integer.fromArray(result, BASE, false));
}
var parseBase = function (text, base, alphabet, caseSensitive) {
alphabet = alphabet || DEFAULT_ALPHABET;
text = String(text);
if (!caseSensitive) {
text = text.toLowerCase();
alphabet = alphabet.toLowerCase();
}
var length = text.length;
var i;
var absBase = Math.abs(base);
var alphabetValues = {};
for (i = 0; i < alphabet.length; i++) {
alphabetValues[alphabet[i]] = i;
}
for (i = 0; i < length; i++) {
var c = text[i];
if (c === "-") continue;
if (c in alphabetValues) {
if (alphabetValues[c] >= absBase) {
if (c === "1" && absBase === 1) continue;
throw new Error(c + " is not a valid digit in base " + base + ".");
}
}
}
base = parseValue(base);
var digits = [];
var isNegative = text[0] === "-";
for (i = isNegative ? 1 : 0; i < text.length; i++) {
var c = text[i];
if (c in alphabetValues) digits.push(parseValue(alphabetValues[c]));
else if (c === "<") {
var start = i;
do { i++; } while (text[i] !== ">" && i < text.length);
digits.push(parseValue(text.slice(start + 1, i)));
}
else throw new Error(c + " is not a valid character");
}
return parseBaseFromArray(digits, base, isNegative);
};
function parseBaseFromArray(digits, base, isNegative) {
var val = Integer[0], pow = Integer[1], i;
for (i = digits.length - 1; i >= 0; i--) {
val = val.add(digits[i].times(pow));
pow = pow.times(base);
}
return isNegative ? val.negate() : val;
}
function stringify(digit, alphabet) {
alphabet = alphabet || DEFAULT_ALPHABET;
if (digit < alphabet.length) {
return alphabet[digit];
}
return "<" + digit + ">";
}
function toBase(n, base) {
base = bigInt(base);
if (base.isZero()) {
if (n.isZero()) return { value: [0], isNegative: false };
throw new Error("Cannot convert nonzero numbers to base 0.");
}
if (base.equals(-1)) {
if (n.isZero()) return { value: [0], isNegative: false };
if (n.isNegative())
return {
value: [].concat.apply([], Array.apply(null, Array(-n.toJSNumber()))
.map(Array.prototype.valueOf, [1, 0])
),
isNegative: false
};
var arr = Array.apply(null, Array(n.toJSNumber() - 1))
.map(Array.prototype.valueOf, [0, 1]);
arr.unshift([1]);
return {
value: [].concat.apply([], arr),
isNegative: false
};
}
var neg = false;
if (n.isNegative() && base.isPositive()) {
neg = true;
n = n.abs();
}
if (base.isUnit()) {
if (n.isZero()) return { value: [0], isNegative: false };
return {
value: Array.apply(null, Array(n.toJSNumber()))
.map(Number.prototype.valueOf, 1),
isNegative: neg
};
}
var out = [];
var left = n, divmod;
while (left.isNegative() || left.compareAbs(base) >= 0) {
divmod = left.divmod(base);
left = divmod.quotient;
var digit = divmod.remainder;
if (digit.isNegative()) {
digit = base.minus(digit).abs();
left = left.next();
}
out.push(digit.toJSNumber());
}
out.push(left.toJSNumber());
return { value: out.reverse(), isNegative: neg };
}
function toBaseString(n, base, alphabet) {
var arr = toBase(n, base);
return (arr.isNegative ? "-" : "") + arr.value.map(function (x) {
return stringify(x, alphabet);
}).join('');
}
BigInteger.prototype.toArray = function (radix) {
return toBase(this, radix);
};
SmallInteger.prototype.toArray = function (radix) {
return toBase(this, radix);
};
NativeBigInt.prototype.toArray = function (radix) {
return toBase(this, radix);
};
BigInteger.prototype.toString = function (radix, alphabet) {
if (radix === undefined$1) radix = 10;
if (radix !== 10) return toBaseString(this, radix, alphabet);
var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit;
while (--l >= 0) {
digit = String(v[l]);
str += zeros.slice(digit.length) + digit;
}
var sign = this.sign ? "-" : "";
return sign + str;
};
SmallInteger.prototype.toString = function (radix, alphabet) {
if (radix === undefined$1) radix = 10;
if (radix != 10) return toBaseString(this, radix, alphabet);
return String(this.value);
};
NativeBigInt.prototype.toString = SmallInteger.prototype.toString;
NativeBigInt.prototype.toJSON = BigInteger.prototype.toJSON = SmallInteger.prototype.toJSON = function () { return this.toString(); };
BigInteger.prototype.valueOf = function () {
return parseInt(this.toString(), 10);
};
BigInteger.prototype.toJSNumber = BigInteger.prototype.valueOf;
SmallInteger.prototype.valueOf = function () {
return this.value;
};
SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf;
NativeBigInt.prototype.valueOf = NativeBigInt.prototype.toJSNumber = function () {
return parseInt(this.toString(), 10);
};
function parseStringValue(v) {
if (isPrecise(+v)) {
var x = +v;
if (x === truncate(x))
return supportsNativeBigInt ? new NativeBigInt(BigInt(x)) : new SmallInteger(x);
throw new Error("Invalid integer: " + v);
}
var sign = v[0] === "-";
if (sign) v = v.slice(1);
var split = v.split(/e/i);
if (split.length > 2) throw new Error("Invalid integer: " + split.join("e"));
if (split.length === 2) {
var exp = split[1];
if (exp[0] === "+") exp = exp.slice(1);
exp = +exp;
if (exp !== truncate(exp) || !isPrecise(exp)) throw new Error("Invalid integer: " + exp + " is not a valid exponent.");
var text = split[0];
var decimalPlace = text.indexOf(".");
if (decimalPlace >= 0) {
exp -= text.length - decimalPlace - 1;
text = text.slice(0, decimalPlace) + text.slice(decimalPlace + 1);
}
if (exp < 0) throw new Error("Cannot include negative exponent part for integers");
text += (new Array(exp + 1)).join("0");
v = text;
}
var isValid = /^([0-9][0-9]*)$/.test(v);
if (!isValid) throw new Error("Invalid integer: " + v);
if (supportsNativeBigInt) {
return new NativeBigInt(BigInt(sign ? "-" + v : v));
}
var r = [], max = v.length, l = LOG_BASE, min = max - l;
while (max > 0) {
r.push(+v.slice(min, max));
min -= l;
if (min < 0) min = 0;
max -= l;
}
trim(r);
return new BigInteger(r, sign);
}
function parseNumberValue(v) {
if (supportsNativeBigInt) {
return new NativeBigInt(BigInt(v));
}
if (isPrecise(v)) {
if (v !== truncate(v)) throw new Error(v + " is not an integer.");
return new SmallInteger(v);
}
return parseStringValue(v.toString());
}
function parseValue(v) {
if (typeof v === "number") {
return parseNumberValue(v);
}
if (typeof v === "string") {
return parseStringValue(v);
}
if (typeof v === "bigint") {
return new NativeBigInt(v);
}
return v;
}
// Pre-define numbers in range [-999,999]
for (var i = 0; i < 1000; i++) {
Integer[i] = parseValue(i);
if (i > 0) Integer[-i] = parseValue(-i);
}
// Backwards compatibility
Integer.one = Integer[1];
Integer.zero = Integer[0];
Integer.minusOne = Integer[-1];
Integer.max = max;
Integer.min = min;
Integer.gcd = gcd;
Integer.lcm = lcm;
Integer.isInstance = function (x) { return x instanceof BigInteger || x instanceof SmallInteger || x instanceof NativeBigInt; };
Integer.randBetween = randBetween;
Integer.fromArray = function (digits, base, isNegative) {
return parseBaseFromArray(digits.map(parseValue), parseValue(base || 10), isNegative);
};
return Integer;
})();
// Node.js check
if ( module.hasOwnProperty("exports")) {
module.exports = bigInt;
}
});
function fromString$1(s, radix) {
if (typeof s == "string") {
if (s.slice(0,2) == "0x") {
return BigInteger(s.slice(2), 16);
} else {
return BigInteger(s,radix);
}
} else {
return BigInteger(s, radix);
}
}
const e$1 = fromString$1;
function fromArray$1(a, radix) {
return BigInteger.fromArray(a, radix);
}
function bitLength$1(a) {
return BigInteger(a).bitLength();
}
function isNegative$1(a) {
return BigInteger(a).isNegative();
}
function isZero$1(a) {
return BigInteger(a).isZero();
}
function shiftLeft$1(a, n) {
return BigInteger(a).shiftLeft(n);
}
function shiftRight$1(a, n) {
return BigInteger(a).shiftRight(n);
}
const shl$1 = shiftLeft$1;
const shr$1 = shiftRight$1;
function isOdd$1(a) {
return BigInteger(a).isOdd();
}
function naf$1(n) {
let E = BigInteger(n);
const res = [];
while (E.gt(BigInteger.zero)) {
if (E.isOdd()) {
const z = 2 - E.mod(4).toJSNumber();
res.push( z );
E = E.minus(z);
} else {
res.push( 0 );
}
E = E.shiftRight(1);
}
return res;
}
function bits$1(n) {
let E = BigInteger(n);
const res = [];
while (E.gt(BigInteger.zero)) {
if (E.isOdd()) {
res.push(1);
} else {
res.push( 0 );
}
E = E.shiftRight(1);
}
return res;
}
function toNumber$1(s) {
if (!s.lt(BigInteger("9007199254740992", 10))) {
throw new Error("Number too big");
}
return s.toJSNumber();
}
function toArray$1(s, radix) {
return BigInteger(s).toArray(radix);
}
function add$1(a, b) {
return BigInteger(a).add(BigInteger(b));
}
function sub$1(a, b) {
return BigInteger(a).minus(BigInteger(b));
}
function neg$1(a) {
return BigInteger.zero.minus(BigInteger(a));
}
function mul$1(a, b) {
return BigInteger(a).times(BigInteger(b));
}
function square$1(a) {
return BigInteger(a).square();
}
function pow$1(a, b) {
return BigInteger(a).pow(BigInteger(b));
}
function exp$1(a, b) {
return BigInteger(a).pow(BigInteger(b));
}
function abs$1(a) {
return BigInteger(a).abs();
}
function div$1(a, b) {
return BigInteger(a).divide(BigInteger(b));
}
function mod$1(a, b) {
return BigInteger(a).mod(BigInteger(b));
}
function eq$1(a, b) {
return BigInteger(a).eq(BigInteger(b));
}
function neq$1(a, b) {
return BigInteger(a).neq(BigInteger(b));
}
function lt$1(a, b) {
return BigInteger(a).lt(BigInteger(b));
}
function gt$1(a, b) {
return BigInteger(a).gt(BigInteger(b));
}
function leq$1(a, b) {
return BigInteger(a).leq(BigInteger(b));
}
function geq$1(a, b) {
return BigInteger(a).geq(BigInteger(b));
}
function band$1(a, b) {
return BigInteger(a).and(BigInteger(b));
}
function bor$1(a, b) {
return BigInteger(a).or(BigInteger(b));
}
function bxor$1(a, b) {
return BigInteger(a).xor(BigInteger(b));
}
function land$1(a, b) {
return (!BigInteger(a).isZero()) && (!BigInteger(b).isZero());
}
function lor$1(a, b) {
return (!BigInteger(a).isZero()) || (!BigInteger(b).isZero());
}
function lnot$1(a) {
return BigInteger(a).isZero();
}
var Scalar_bigint = /*#__PURE__*/Object.freeze({
__proto__: null,
fromString: fromString$1,
e: e$1,
fromArray: fromArray$1,
bitLength: bitLength$1,
isNegative: isNegative$1,
isZero: isZero$1,
shiftLeft: shiftLeft$1,
shiftRight: shiftRight$1,
shl: shl$1,
shr: shr$1,
isOdd: isOdd$1,
naf: naf$1,
bits: bits$1,
toNumber: toNumber$1,
toArray: toArray$1,
add: add$1,
sub: sub$1,
neg: neg$1,
mul: mul$1,
square: square$1,
pow: pow$1,
exp: exp$1,
abs: abs$1,
div: div$1,
mod: mod$1,
eq: eq$1,
neq: neq$1,
lt: lt$1,
gt: gt$1,
leq: leq$1,
geq: geq$1,
band: band$1,
bor: bor$1,
bxor: bxor$1,
land: land$1,
lor: lor$1,
lnot: lnot$1
});
const supportsNativeBigInt = typeof BigInt === "function";
let Scalar = {};
if (supportsNativeBigInt) {
Object.assign(Scalar, Scalar_native);
} else {
Object.assign(Scalar, Scalar_bigint);
}
// Returns a buffer with Little Endian Representation
Scalar.toRprLE = function rprBE(buff, o, e, n8) {
const s = "0000000" + e.toString(16);
const v = new Uint32Array(buff.buffer, o, n8/4);
const l = (((s.length-7)*4 - 1) >> 5)+1; // Number of 32bit words;
for (let i=0; i<l; i++) v[i] = parseInt(s.substring(s.length-8*i-8, s.length-8*i), 16);
for (let i=l; i<v.length; i++) v[i] = 0;
for (let i=v.length*4; i<n8; i++) buff[i] = Scalar.toNumber(Scalar.band(Scalar.shiftRight(e, i*8), 0xFF));
};
// Returns a buffer with Big Endian Representation
Scalar.toRprBE = function rprLEM(buff, o, e, n8) {
const s = "0000000" + e.toString(16);
const v = new DataView(buff.buffer, o, n8);
const l = (((s.length-7)*4 - 1) >> 5)+1; // Number of 32bit words;
for (let i=0; i<l; i++) v.setUint32(n8-i*4 -4, parseInt(s.substring(s.length-8*i-8, s.length-8*i), 16), false);
for (let i=0; i<n8/4-l; i++) v[i] = 0;
};
// Pases a buffer with Little Endian Representation
Scalar.fromRprLE = function rprLEM(buff, o, n8) {
n8 = n8 || buff.byteLength;
const v = new Uint32Array(buff.buffer, o, n8/4);
const a = new Array(n8/4);
v.forEach( (ch,i) => a[a.length-i-1] = ch.toString(16).padStart(8,"0") );
return Scalar.fromString(a.join(""), 16);
};
// Pases a buffer with Big Endian Representation
Scalar.fromRprBE = function rprLEM(buff, o, n8) {
n8 = n8 || buff.byteLength;
const v = new DataView(buff.buffer, o, n8);
const a = new Array(n8/4);
for (let i=0; i<n8/4; i++) {
a[i] = v.getUint32(i*4, false).toString(16).padStart(8, "0");
}
return Scalar.fromString(a.join(""), 16);
};
Scalar.toString = function toString(a, radix) {
return a.toString(radix);
};
Scalar.toLEBuff = function toLEBuff(a) {
const buff = new Uint8Array(Math.floor((Scalar.bitLength(a) - 1) / 8) +1);
Scalar.toRprLE(buff, 0, a, buff.byteLength);
return buff;
};
Scalar.zero = Scalar.e(0);
Scalar.one = Scalar.e(1);
let {
toRprLE,
toRprBE,
fromRprLE,
fromRprBE,
toString,
toLEBuff,
zero,
one,
fromString: fromString$2,
e: e$2,
fromArray: fromArray$2,
bitLength: bitLength$2,
isNegative: isNegative$2,
isZero: isZero$2,
shiftLeft: shiftLeft$2,
shiftRight: shiftRight$2,
shl: shl$2,
shr: shr$2,
isOdd: isOdd$2,
naf: naf$2,
bits: bits$2,
toNumber: toNumber$2,
toArray: toArray$2,
add: add$2,
sub: sub$2,
neg: neg$2,
mul: mul$2,
square: square$2,
pow: pow$2,
exp: exp$2,
abs: abs$2,
div: div$2,
mod: mod$2,
eq: eq$2,
neq: neq$2,
lt: lt$2,
gt: gt$2,
leq: leq$2,
geq: geq$2,
band: band$2,
bor: bor$2,
bxor: bxor$2,
land: land$2,
lor: lor$2,
lnot: lnot$2,
} = Scalar;
var _Scalar = /*#__PURE__*/Object.freeze({
__proto__: null,
toRprLE: toRprLE,
toRprBE: toRprBE,
fromRprLE: fromRprLE,
fromRprBE: fromRprBE,
toString: toString,
toLEBuff: toLEBuff,
zero: zero,
one: one,
fromString: fromString$2,
e: e$2,
fromArray: fromArray$2,
bitLength: bitLength$2,
isNegative: isNegative$2,
isZero: isZero$2,
shiftLeft: shiftLeft$2,
shiftRight: shiftRight$2,
shl: shl$2,
shr: shr$2,
isOdd: isOdd$2,
naf: naf$2,
bits: bits$2,
toNumber: toNumber$2,
toArray: toArray$2,
add: add$2,
sub: sub$2,
neg: neg$2,
mul: mul$2,
square: square$2,
pow: pow$2,
exp: exp$2,
abs: abs$2,
div: div$2,
mod: mod$2,
eq: eq$2,
neq: neq$2,
lt: lt$2,
gt: gt$2,
leq: leq$2,
geq: geq$2,
band: band$2,
bor: bor$2,
bxor: bxor$2,
land: land$2,
lor: lor$2,
lnot: lnot$2
});
/*
Copyright 2018 0kims association.
This file is part of snarkjs.
snarkjs is a free software: you can redistribute it and/or
modify it under the terms of the GNU General Public License as published by the
Free Software Foundation, either version 3 of the License, or (at your option)
any later version.
snarkjs is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
more details.
You should have received a copy of the GNU General Public License along with
snarkjs. If not, see <https://www.gnu.org/licenses/>.
*/
/*
This library does operations on polynomials with coefficients in a field F.
A polynomial P(x) = p0 + p1 * x + p2 * x^2 + ... + pn * x^n is represented
by the array [ p0, p1, p2, ... , pn ].
*/
class PolField {
constructor (F) {
this.F = F;
let rem = F.sqrt_t;
let s = F.sqrt_s;
const five = this.F.add(this.F.add(this.F.two, this.F.two), this.F.one);
this.w = new Array(s+1);
this.wi = new Array(s+1);
this.w[s] = this.F.pow(five, rem);
this.wi[s] = this.F.inv(this.w[s]);
let n=s-1;
while (n>=0) {
this.w[n] = this.F.square(this.w[n+1]);
this.wi[n] = this.F.square(this.wi[n+1]);
n--;
}
this.roots = [];
/* for (let i=0; i<16; i++) {
let r = this.F.one;
n = 1 << i;
const rootsi = new Array(n);
for (let j=0; j<n; j++) {
rootsi[j] = r;
r = this.F.mul(r, this.w[i]);
}
this.roots.push(rootsi);
}
*/
this._setRoots(15);
}
_setRoots(n) {
for (let i=n; (i>=0) && (!this.roots[i]); i--) {
let r = this.F.one;
const nroots = 1 << i;
const rootsi = new Array(nroots);
for (let j=0; j<nroots; j++) {
rootsi[j] = r;
r = this.F.mul(r, this.w[i]);
}
this.roots[i] = rootsi;
}
}
add(a, b) {
const m = Math.max(a.length, b.length);
const res = new Array(m);
for (let i=0; i<m; i++) {
res[i] = this.F.add(a[i] || this.F.zero, b[i] || this.F.zero);
}
return this.reduce(res);
}
double(a) {
return this.add(a,a);
}
sub(a, b) {
const m = Math.max(a.length, b.length);
const res = new Array(m);
for (let i=0; i<m; i++) {
res[i] = this.F.sub(a[i] || this.F.zero, b[i] || this.F.zero);
}
return this.reduce(res);
}
mulScalar(p, b) {
if (this.F.eq(b, this.F.zero)) return [];
if (this.F.eq(b, this.F.one)) return p;
const res = new Array(p.length);
for (let i=0; i<p.length; i++) {
res[i] = this.F.mul(p[i], b);
}
return res;
}
mul(a, b) {
if (a.length == 0) return [];
if (b.length == 0) return [];
if (a.length == 1) return this.mulScalar(b, a[0]);
if (b.length == 1) return this.mulScalar(a, b[0]);
if (b.length > a.length) {
[b, a] = [a, b];
}
if ((b.length <= 2) || (b.length < log2(a.length))) {
return this.mulNormal(a,b);
} else {
return this.mulFFT(a,b);
}
}
mulNormal(a, b) {
let res = [];
for (let i=0; i<b.length; i++) {
res = this.add(res, this.scaleX(this.mulScalar(a, b[i]), i) );
}
return res;
}
mulFFT(a,b) {
const longestN = Math.max(a.length, b.length);
const bitsResult = log2(longestN-1)+2;
this._setRoots(bitsResult);
const m = 1 << bitsResult;
const ea = this.extend(a,m);
const eb = this.extend(b,m);
const ta = __fft(this, ea, bitsResult, 0, 1);
const tb = __fft(this, eb, bitsResult, 0, 1);
const tres = new Array(m);
for (let i=0; i<m; i++) {
tres[i] = this.F.mul(ta[i], tb[i]);
}
const res = __fft(this, tres, bitsResult, 0, 1);
const twoinvm = this.F.inv( this.F.mulScalar(this.F.one, m) );
const resn = new Array(m);
for (let i=0; i<m; i++) {
resn[i] = this.F.mul(res[(m-i)%m], twoinvm);
}
return this.reduce(resn);
}
square(a) {
return this.mul(a,a);
}
scaleX(p, n) {
if (n==0) {
return p;
} else if (n>0) {
const z = new Array(n).fill(this.F.zero);
return z.concat(p);
} else {
if (-n >= p.length) return [];
return p.slice(-n);
}
}
eval2(p, x) {
let v = this.F.zero;
let ix = this.F.one;
for (let i=0; i<p.length; i++) {
v = this.F.add(v, this.F.mul(p[i], ix));
ix = this.F.mul(ix, x);
}
return v;
}
eval(p,x) {
const F = this.F;
if (p.length == 0) return F.zero;
const m = this._next2Power(p.length);
const ep = this.extend(p, m);
return _eval(ep, x, 0, 1, m);
function _eval(p, x, offset, step, n) {
if (n==1) return p[offset];
const newX = F.square(x);
const res= F.add(
_eval(p, newX, offset, step << 1, n >> 1),
F.mul(
x,
_eval(p, newX, offset+step , step << 1, n >> 1)));
return res;
}
}
lagrange(points) {
let roots = [this.F.one];
for (let i=0; i<points.length; i++) {
roots = this.mul(roots, [this.F.neg(points[i][0]), this.F.one]);
}
let sum = [];
for (let i=0; i<points.length; i++) {
let mpol = this.ruffini(roots, points[i][0]);
const factor =
this.F.mul(
this.F.inv(this.eval(mpol, points[i][0])),
points[i][1]);
mpol = this.mulScalar(mpol, factor);
sum = this.add(sum, mpol);
}
return sum;
}
fft(p) {
if (p.length <= 1) return p;
const bits = log2(p.length-1)+1;
this._setRoots(bits);
const m = 1 << bits;
const ep = this.extend(p, m);
const res = __fft(this, ep, bits, 0, 1);
return res;
}
fft2(p) {
if (p.length <= 1) return p;
const bits = log2(p.length-1)+1;
this._setRoots(bits);
const m = 1 << bits;
const ep = this.extend(p, m);
__bitReverse(ep, bits);
const res = __fft2(this, ep, bits);
return res;
}
ifft(p) {
if (p.length <= 1) return p;
const bits = log2(p.length-1)+1;
this._setRoots(bits);
const m = 1 << bits;
const ep = this.extend(p, m);
const res = __fft(this, ep, bits, 0, 1);
const twoinvm = this.F.inv( this.F.mulScalar(this.F.one, m) );
const resn = new Array(m);
for (let i=0; i<m; i++) {
resn[i] = this.F.mul(res[(m-i)%m], twoinvm);
}
return resn;
}
ifft2(p) {
if (p.length <= 1) return p;
const bits = log2(p.length-1)+1;
this._setRoots(bits);
const m = 1 << bits;
const ep = this.extend(p, m);
__bitReverse(ep, bits);
const res = __fft2(this, ep, bits);
const twoinvm = this.F.inv( this.F.mulScalar(this.F.one, m) );
const resn = new Array(m);
for (let i=0; i<m; i++) {
resn[i] = this.F.mul(res[(m-i)%m], twoinvm);
}
return resn;
}
_fft(pall, bits, offset, step) {
const n = 1 << bits;
if (n==1) {
return [ pall[offset] ];
}
const ndiv2 = n >> 1;
const p1 = this._fft(pall, bits-1, offset, step*2);
const p2 = this._fft(pall, bits-1, offset+step, step*2);
const out = new Array(n);
let m= this.F.one;
for (let i=0; i<ndiv2; i++) {
out[i] = this.F.add(p1[i], this.F.mul(m, p2[i]));
out[i+ndiv2] = this.F.sub(p1[i], this.F.mul(m, p2[i]));
m = this.F.mul(m, this.w[bits]);
}
return out;
}
extend(p, e) {
if (e == p.length) return p;
const z = new Array(e-p.length).fill(this.F.zero);
return p.concat(z);
}
reduce(p) {
if (p.length == 0) return p;
if (! this.F.eq(p[p.length-1], this.F.zero) ) return p;
let i=p.length-1;
while( i>0 && this.F.eq(p[i], this.F.zero) ) i--;
return p.slice(0, i+1);
}
eq(a, b) {
const pa = this.reduce(a);
const pb = this.reduce(b);
if (pa.length != pb.length) return false;
for (let i=0; i<pb.length; i++) {
if (!this.F.eq(pa[i], pb[i])) return false;
}
return true;
}
ruffini(p, r) {
const res = new Array(p.length-1);
res[res.length-1] = p[p.length-1];
for (let i = res.length-2; i>=0; i--) {
res[i] = this.F.add(this.F.mul(res[i+1], r), p[i+1]);
}
return res;
}
_next2Power(v) {
v--;
v |= v >> 1;
v |= v >> 2;
v |= v >> 4;
v |= v >> 8;
v |= v >> 16;
v++;
return v;
}
toString(p) {
const ap = this.normalize(p);
let S = "";
for (let i=ap.length-1; i>=0; i--) {
if (!this.F.eq(p[i], this.F.zero)) {
if (S!="") S += " + ";
S = S + p[i].toString(10);
if (i>0) {
S = S + "x";
if (i>1) {
S = S + "^" +i;
}
}
}
}
return S;
}
normalize(p) {
const res = new Array(p.length);
for (let i=0; i<p.length; i++) {
res[i] = this.F.normalize(p[i]);
}
return res;
}
_reciprocal(p, bits) {
const k = 1 << bits;
if (k==1) {
return [ this.F.inv(p[0]) ];
}
const np = this.scaleX(p, -k/2);
const q = this._reciprocal(np, bits-1);
const a = this.scaleX(this.double(q), 3*k/2-2);
const b = this.mul( this.square(q), p);
return this.scaleX(this.sub(a,b), -(k-2));
}
// divides x^m / v
_div2(m, v) {
const kbits = log2(v.length-1)+1;
const k = 1 << kbits;
const scaleV = k - v.length;
// rec = x^(k - 2) / v* x^scaleV =>
// rec = x^(k-2-scaleV)/ v
//
// res = x^m/v = x^(m + (2*k-2 - scaleV) - (2*k-2 - scaleV)) /v =>
// res = rec * x^(m - (2*k-2 - scaleV)) =>
// res = rec * x^(m - 2*k + 2 + scaleV)
const rec = this._reciprocal(this.scaleX(v, scaleV), kbits);
const res = this.scaleX(rec, m - 2*k + 2 + scaleV);
return res;
}
div(_u, _v) {
if (_u.length < _v.length) return [];
const kbits = log2(_v.length-1)+1;
const k = 1 << kbits;
const u = this.scaleX(_u, k-_v.length);
const v = this.scaleX(_v, k-_v.length);
const n = v.length-1;
let m = u.length-1;
const s = this._reciprocal(v, kbits);
let t;
if (m>2*n) {
t = this.sub(this.scaleX([this.F.one], 2*n), this.mul(s, v));
}
let q = [];
let rem = u;
let us, ut;
let finish = false;
while (!finish) {
us = this.mul(rem, s);
q = this.add(q, this.scaleX(us, -2*n));
if ( m > 2*n ) {
ut = this.mul(rem, t);
rem = this.scaleX(ut, -2*n);
m = rem.length-1;
} else {
finish = true;
}
}
return q;
}
// returns the ith nth-root of one
oneRoot(n, i) {
let nbits = log2(n-1)+1;
let res = this.F.one;
let r = i;
if(i>=n) {
throw new Error("Given 'i' should be lower than 'n'");
}
else if (1<<nbits !== n) {
throw new Error(`Internal errlr: ${n} should equal ${1<<nbits}`);
}
while (r>0) {
if (r & 1 == 1) {
res = this.F.mul(res, this.w[nbits]);
}
r = r >> 1;
nbits --;
}
return res;
}
computeVanishingPolinomial(bits, t) {
const m = 1 << bits;
return this.F.sub(this.F.pow(t, m), this.F.one);
}
evaluateLagrangePolynomials(bits, t) {
const m= 1 << bits;
const tm = this.F.pow(t, m);
const u= new Array(m).fill(this.F.zero);
this._setRoots(bits);
const omega = this.w[bits];
if (this.F.eq(tm, this.F.one)) {
for (let i = 0; i < m; i++) {
if (this.F.eq(this.roots[bits][0],t)) { // i.e., t equals omega^i
u[i] = this.F.one;
return u;
}
}
}
const z = this.F.sub(tm, this.F.one);
// let l = this.F.mul(z, this.F.pow(this.F.twoinv, m));
let l = this.F.mul(z, this.F.inv(this.F.e(m)));
for (let i = 0; i < m; i++) {
u[i] = this.F.mul(l, this.F.inv(this.F.sub(t,this.roots[bits][i])));
l = this.F.mul(l, omega);
}
return u;
}
log2(V) {
return log2(V);
}
}
function log2( V )
{
return( ( ( V & 0xFFFF0000 ) !== 0 ? ( V &= 0xFFFF0000, 16 ) : 0 ) | ( ( V & 0xFF00FF00 ) !== 0 ? ( V &= 0xFF00FF00, 8 ) : 0 ) | ( ( V & 0xF0F0F0F0 ) !== 0 ? ( V &= 0xF0F0F0F0, 4 ) : 0 ) | ( ( V & 0xCCCCCCCC ) !== 0 ? ( V &= 0xCCCCCCCC, 2 ) : 0 ) | ( ( V & 0xAAAAAAAA ) !== 0 ) );
}
function __fft(PF, pall, bits, offset, step) {
const n = 1 << bits;
if (n==1) {
return [ pall[offset] ];
} else if (n==2) {
return [
PF.F.add(pall[offset], pall[offset + step]),
PF.F.sub(pall[offset], pall[offset + step])];
}
const ndiv2 = n >> 1;
const p1 = __fft(PF, pall, bits-1, offset, step*2);
const p2 = __fft(PF, pall, bits-1, offset+step, step*2);
const out = new Array(n);
for (let i=0; i<ndiv2; i++) {
out[i] = PF.F.add(p1[i], PF.F.mul(PF.roots[bits][i], p2[i]));
out[i+ndiv2] = PF.F.sub(p1[i], PF.F.mul(PF.roots[bits][i], p2[i]));
}
return out;
}
function __fft2(PF, pall, bits) {
const n = 1 << bits;
if (n==1) {
return [ pall[0] ];
}
const ndiv2 = n >> 1;
const p1 = __fft2(PF, pall.slice(0, ndiv2), bits-1);
const p2 = __fft2(PF, pall.slice(ndiv2), bits-1);
const out = new Array(n);
for (let i=0; i<ndiv2; i++) {
out[i] = PF.F.add(p1[i], PF.F.mul(PF.roots[bits][i], p2[i]));
out[i+ndiv2] = PF.F.sub(p1[i], PF.F.mul(PF.roots[bits][i], p2[i]));
}
return out;
}
const _revTable = [];
for (let i=0; i<256; i++) {
_revTable[i] = _revSlow(i, 8);
}
function _revSlow(idx, bits) {
let res =0;
let a = idx;
for (let i=0; i<bits; i++) {
res <<= 1;
res = res | (a &1);
a >>=1;
}
return res;
}
function rev(idx, bits) {
return (
_revTable[idx >>> 24] |
(_revTable[(idx >>> 16) & 0xFF] << 8) |
(_revTable[(idx >>> 8) & 0xFF] << 16) |
(_revTable[idx & 0xFF] << 24)
) >>> (32-bits);
}
function __bitReverse(p, bits) {
for (let k=0; k<p.length; k++) {
const r = rev(k, bits);
if (r>k) {
const tmp= p[k];
p[k] = p[r];
p[r] = tmp;
}
}
}
/*
Copyright 2018 0kims association.
This file is part of snarkjs.
snarkjs is a free software: you can redistribute it and/or
modify it under the terms of the GNU General Public License as published by the
Free Software Foundation, either version 3 of the License, or (at your option)
any later version.
snarkjs is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
more details.
You should have received a copy of the GNU General Public License along with
snarkjs. If not, see <https://www.gnu.org/licenses/>.
*/
function mulScalar(F, base, e) {
let res;
if (isZero$2(e)) return F.zero;
const n = naf$2(e);
if (n[n.length-1] == 1) {
res = base;
} else if (n[n.length-1] == -1) {
res = F.neg(base);
} else {
throw new Error("invlaud NAF");
}
for (let i=n.length-2; i>=0; i--) {
res = F.double(res);
if (n[i] == 1) {
res = F.add(res, base);
} else if (n[i] == -1) {
res = F.sub(res, base);
}
}
return res;
}
/*
exports.mulScalar = (F, base, e) =>{
let res = F.zero;
let rem = bigInt(e);
let exp = base;
while (! rem.eq(bigInt.zero)) {
if (rem.and(bigInt.one).eq(bigInt.one)) {
res = F.add(res, exp);
}
exp = F.double(exp);
rem = rem.shiftRight(1);
}
return res;
};
*/
function exp$3(F, base, e) {
if (isZero$2(e)) return F.one;
const n = bits$2(e);
if (n.legth==0) return F.one;
let res = base;
for (let i=n.length-2; i>=0; i--) {
res = F.square(res);
if (n[i]) {
res = F.mul(res, base);
}
}
return res;
}
// Check here: https://eprint.iacr.org/2012/685.pdf
function buildSqrt (F) {
if ((F.m % 2) == 1) {
if (eq$2(mod$2(F.p, 4), 1 )) {
if (eq$2(mod$2(F.p, 8), 1 )) {
if (eq$2(mod$2(F.p, 16), 1 )) {
// alg7_muller(F);
alg5_tonelliShanks(F);
} else if (eq$2(mod$2(F.p, 16), 9 )) {
alg4_kong(F);
} else {
throw new Error("Field withot sqrt");
}
} else if (eq$2(mod$2(F.p, 8), 5 )) {
alg3_atkin(F);
} else {
throw new Error("Field withot sqrt");
}
} else if (eq$2(mod$2(F.p, 4), 3 )) {
alg2_shanks(F);
}
} else {
const pm2mod4 = mod$2(pow$2(F.p, F.m/2), 4);
if (pm2mod4 == 1) {
alg10_adj(F);
} else if (pm2mod4 == 3) {
alg9_adj(F);
} else {
alg8_complex(F);
}
}
}
function alg5_tonelliShanks(F) {
F.sqrt_q = pow$2(F.p, F.m);
F.sqrt_s = 0;
F.sqrt_t = sub$2(F.sqrt_q, 1);
while (!isOdd$2(F.sqrt_t)) {
F.sqrt_s = F.sqrt_s + 1;
F.sqrt_t = div$2(F.sqrt_t, 2);
}
let c0 = F.one;
while (F.eq(c0, F.one)) {
const c = F.random();
F.sqrt_z = F.pow(c, F.sqrt_t);
c0 = F.pow(F.sqrt_z, 1 << (F.sqrt_s-1) );
}
F.sqrt_tm1d2 = div$2(sub$2(F.sqrt_t, 1),2);
F.sqrt = function(a) {
const F=this;
if (F.isZero(a)) return F.zero;
let w = F.pow(a, F.sqrt_tm1d2);
const a0 = F.pow( F.mul(F.square(w), a), 1 << (F.sqrt_s-1) );
if (F.eq(a0, F.negone)) return null;
let v = F.sqrt_s;
let x = F.mul(a, w);
let b = F.mul(x, w);
let z = F.sqrt_z;
while (!F.eq(b, F.one)) {
let b2k = F.square(b);
let k=1;
while (!F.eq(b2k, F.one)) {
b2k = F.square(b2k);
k++;
}
w = z;
for (let i=0; i<v-k-1; i++) {
w = F.square(w);
}
z = F.square(w);
b = F.mul(b, z);
x = F.mul(x, w);
v = k;
}
return F.geq(x, F.zero) ? x : F.neg(x);
};
}
function alg4_kong(F) {
F.sqrt = function() {
throw new Error("Sqrt alg 4 not implemented");
};
}
function alg3_atkin(F) {
F.sqrt = function() {
throw new Error("Sqrt alg 3 not implemented");
};
}
function alg2_shanks(F) {
F.sqrt_q = pow$2(F.p, F.m);
F.sqrt_e1 = div$2( sub$2(F.sqrt_q, 3) , 4);
F.sqrt = function(a) {
if (this.isZero(a)) return this.zero;
// Test that have solution
const a1 = this.pow(a, this.sqrt_e1);
const a0 = this.mul(this.square(a1), a);
if ( this.eq(a0, this.negone) ) return null;
const x = this.mul(a1, a);
return F.geq(x, F.zero) ? x : F.neg(x);
};
}
function alg10_adj(F) {
F.sqrt = function() {
throw new Error("Sqrt alg 10 not implemented");
};
}
function alg9_adj(F) {
F.sqrt_q = pow$2(F.p, F.m/2);
F.sqrt_e34 = div$2( sub$2(F.sqrt_q, 3) , 4);
F.sqrt_e12 = div$2( sub$2(F.sqrt_q, 1) , 2);
F.frobenius = function(n, x) {
if ((n%2) == 1) {
return F.conjugate(x);
} else {
return x;
}
};
F.sqrt = function(a) {
const F = this;
const a1 = F.pow(a, F.sqrt_e34);
const alfa = F.mul(F.square(a1), a);
const a0 = F.mul(F.frobenius(1, alfa), alfa);
if (F.eq(a0, F.negone)) return null;
const x0 = F.mul(a1, a);
let x;
if (F.eq(alfa, F.negone)) {
x = F.mul(x0, [F.F.zero, F.F.one]);
} else {
const b = F.pow(F.add(F.one, alfa), F.sqrt_e12);
x = F.mul(b, x0);
}
return F.geq(x, F.zero) ? x : F.neg(x);
};
}
function alg8_complex(F) {
F.sqrt = function() {
throw new Error("Sqrt alg 8 not implemented");
};
}
function quarterRound(st, a, b, c, d) {
st[a] = (st[a] + st[b]) >>> 0;
st[d] = (st[d] ^ st[a]) >>> 0;
st[d] = ((st[d] << 16) | ((st[d]>>>16) & 0xFFFF)) >>> 0;
st[c] = (st[c] + st[d]) >>> 0;
st[b] = (st[b] ^ st[c]) >>> 0;
st[b] = ((st[b] << 12) | ((st[b]>>>20) & 0xFFF)) >>> 0;
st[a] = (st[a] + st[b]) >>> 0;
st[d] = (st[d] ^ st[a]) >>> 0;
st[d] = ((st[d] << 8) | ((st[d]>>>24) & 0xFF)) >>> 0;
st[c] = (st[c] + st[d]) >>> 0;
st[b] = (st[b] ^ st[c]) >>> 0;
st[b] = ((st[b] << 7) | ((st[b]>>>25) & 0x7F)) >>> 0;
}
function doubleRound(st) {
quarterRound(st, 0, 4, 8,12);
quarterRound(st, 1, 5, 9,13);
quarterRound(st, 2, 6,10,14);
quarterRound(st, 3, 7,11,15);
quarterRound(st, 0, 5,10,15);
quarterRound(st, 1, 6,11,12);
quarterRound(st, 2, 7, 8,13);
quarterRound(st, 3, 4, 9,14);
}
class ChaCha {
constructor(seed) {
seed = seed || [0,0,0,0,0,0,0,0];
this.state = [
0x61707865,
0x3320646E,
0x79622D32,
0x6B206574,
seed[0],
seed[1],
seed[2],
seed[3],
seed[4],
seed[5],
seed[6],
seed[7],
0,
0,
0,
0
];
this.idx = 16;
this.buff = new Array(16);
}
nextU32() {
if (this.idx == 16) this.update();
return this.buff[this.idx++];
}
nextU64() {
return add$2(mul$2(this.nextU32(), 0x100000000), this.nextU32());
}
nextBool() {
return (this.nextU32() & 1) == 1;
}
update() {
// Copy the state
for (let i=0; i<16; i++) this.buff[i] = this.state[i];
// Apply the rounds
for (let i=0; i<10; i++) doubleRound(this.buff);
// Add to the initial
for (let i=0; i<16; i++) this.buff[i] = (this.buff[i] + this.state[i]) >>> 0;
this.idx = 0;
this.state[12] = (this.state[12] + 1) >>> 0;
if (this.state[12] != 0) return;
this.state[13] = (this.state[13] + 1) >>> 0;
if (this.state[13] != 0) return;
this.state[14] = (this.state[14] + 1) >>> 0;
if (this.state[14] != 0) return;
this.state[15] = (this.state[15] + 1) >>> 0;
}
}
/* global window */
function getRandomBytes(n) {
let array = new Uint8Array(n);
if (typeof window !== "undefined") { // Browser
if (typeof window.crypto !== "undefined") { // Supported
window.crypto.getRandomValues(array);
} else { // fallback
for (let i=0; i<n; i++) {
array[i] = (Math.random()*4294967296)>>>0;
}
}
}
else { // NodeJS
crypto.randomFillSync(array);
}
return array;
}
function getRandomSeed() {
const arr = getRandomBytes(32);
const arrV = new Uint32Array(arr.buffer);
const seed = [];
for (let i=0; i<8; i++) {
seed.push(arrV[i]);
}
return seed;
}
let threadRng = null;
function getThreadRng() {
if (threadRng) return threadRng;
threadRng = new ChaCha(getRandomSeed());
return threadRng;
}
/* global BigInt */
class ZqField {
constructor(p) {
this.type="F1";
this.one = 1n;
this.zero = 0n;
this.p = BigInt(p);
this.m = 1;
this.negone = this.p-1n;
this.two = 2n;
this.half = this.p >> 1n;
this.bitLength = bitLength$2(this.p);
this.mask = (1n << BigInt(this.bitLength)) - 1n;
this.n64 = Math.floor((this.bitLength - 1) / 64)+1;
this.n32 = this.n64*2;
this.n8 = this.n64*8;
this.R = this.e(1n << BigInt(this.n64*64));
this.Ri = this.inv(this.R);
const e = this.negone >> 1n;
this.nqr = this.two;
let r = this.pow(this.nqr, e);
while (!this.eq(r, this.negone)) {
this.nqr = this.nqr + 1n;
r = this.pow(this.nqr, e);
}
this.s = 0;
this.t = this.negone;
while ((this.t & 1n) == 0n) {
this.s = this.s + 1;
this.t = this.t >> 1n;
}
this.nqr_to_t = this.pow(this.nqr, this.t);
buildSqrt(this);
}
e(a,b) {
let res;
if (!b) {
res = BigInt(a);
} else if (b==16) {
res = BigInt("0x"+a);
}
if (res < 0) {
let nres = -res;
if (nres >= this.p) nres = nres % this.p;
return this.p - nres;
} else {
return (res>= this.p) ? res%this.p : res;
}
}
add(a, b) {
const res = a + b;
return res >= this.p ? res-this.p : res;
}
sub(a, b) {
return (a >= b) ? a-b : this.p-b+a;
}
neg(a) {
return a ? this.p-a : a;
}
mul(a, b) {
return (a*b)%this.p;
}
mulScalar(base, s) {
return (base * this.e(s)) % this.p;
}
square(a) {
return (a*a) % this.p;
}
eq(a, b) {
return a==b;
}
neq(a, b) {
return a!=b;
}
lt(a, b) {
const aa = (a > this.half) ? a - this.p : a;
const bb = (b > this.half) ? b - this.p : b;
return aa < bb;
}
gt(a, b) {
const aa = (a > this.half) ? a - this.p : a;
const bb = (b > this.half) ? b - this.p : b;
return aa > bb;
}
leq(a, b) {
const aa = (a > this.half) ? a - this.p : a;
const bb = (b > this.half) ? b - this.p : b;
return aa <= bb;
}
geq(a, b) {
const aa = (a > this.half) ? a - this.p : a;
const bb = (b > this.half) ? b - this.p : b;
return aa >= bb;
}
div(a, b) {
return this.mul(a, this.inv(b));
}
idiv(a, b) {
if (!b) throw new Error("Division by zero");
return a / b;
}
inv(a) {
if (!a) throw new Error("Division by zero");
let t = 0n;
let r = this.p;
let newt = 1n;
let newr = a % this.p;
while (newr) {
let q = r/newr;
[t, newt] = [newt, t-q*newt];
[r, newr] = [newr, r-q*newr];
}
if (t<0n) t += this.p;
return t;
}
mod(a, b) {
return a % b;
}
pow(b, e) {
return exp$3(this, b, e);
}
exp(b, e) {
return exp$3(this, b, e);
}
band(a, b) {
const res = ((a & b) & this.mask);
return res >= this.p ? res-this.p : res;
}
bor(a, b) {
const res = ((a | b) & this.mask);
return res >= this.p ? res-this.p : res;
}
bxor(a, b) {
const res = ((a ^ b) & this.mask);
return res >= this.p ? res-this.p : res;
}
bnot(a) {
const res = a ^ this.mask;
return res >= this.p ? res-this.p : res;
}
shl(a, b) {
if (Number(b) < this.bitLength) {
const res = (a << b) & this.mask;
return res >= this.p ? res-this.p : res;
} else {
const nb = this.p - b;
if (Number(nb) < this.bitLength) {
return a >> nb;
} else {
return 0n;
}
}
}
shr(a, b) {
if (Number(b) < this.bitLength) {
return a >> b;
} else {
const nb = this.p - b;
if (Number(nb) < this.bitLength) {
const res = (a << nb) & this.mask;
return res >= this.p ? res-this.p : res;
} else {
return 0;
}
}
}
land(a, b) {
return (a && b) ? 1n : 0n;
}
lor(a, b) {
return (a || b) ? 1n : 0n;
}
lnot(a) {
return (a) ? 0n : 1n;
}
sqrt_old(n) {
if (n == 0n) return this.zero;
// Test that have solution
const res = this.pow(n, this.negone >> this.one);
if ( res != 1n ) return null;
let m = this.s;
let c = this.nqr_to_t;
let t = this.pow(n, this.t);
let r = this.pow(n, this.add(this.t, this.one) >> 1n );
while ( t != 1n ) {
let sq = this.square(t);
let i = 1;
while (sq != 1n ) {
i++;
sq = this.square(sq);
}
// b = c ^ m-i-1
let b = c;
for (let j=0; j< m-i-1; j ++) b = this.square(b);
m = i;
c = this.square(b);
t = this.mul(t, c);
r = this.mul(r, b);
}
if (r > (this.p >> 1n)) {
r = this.neg(r);
}
return r;
}
normalize(a, b) {
a = BigInt(a,b);
if (a < 0) {
let na = -a;
if (na >= this.p) na = na % this.p;
return this.p - na;
} else {
return (a>= this.p) ? a%this.p : a;
}
}
random() {
const nBytes = (this.bitLength*2 / 8);
let res =0n;
for (let i=0; i<nBytes; i++) {
res = (res << 8n) + BigInt(getRandomBytes(1)[0]);
}
return res % this.p;
}
toString(a, base) {
let vs;
if (a > this.half) {
const v = this.p-a;
vs = "-"+v.toString(base);
} else {
vs = a.toString(base);
}
return vs;
}
isZero(a) {
return a == 0n;
}
fromRng(rng) {
let v;
do {
v=0n;
for (let i=0; i<this.n64; i++) {
v += rng.nextU64() << BigInt(64 *i);
}
v &= this.mask;
} while (v >= this.p);
v = (v * this.Ri) % this.p; // Convert from montgomery
return v;
}
}
class ZqField$1 {
constructor(p) {
this.type="F1";
this.one = BigInteger.one;
this.zero = BigInteger.zero;
this.p = BigInteger(p);
this.m = 1;
this.negone = this.p.minus(BigInteger.one);
this.two = BigInteger(2);
this.half = this.p.shiftRight(1);
this.bitLength = this.p.bitLength();
this.mask = BigInteger.one.shiftLeft(this.bitLength).minus(BigInteger.one);
this.n64 = Math.floor((this.bitLength - 1) / 64)+1;
this.n32 = this.n64*2;
this.n8 = this.n64*8;
this.R = BigInteger.one.shiftLeft(this.n64*64);
this.Ri = this.inv(this.R);
const e = this.negone.shiftRight(this.one);
this.nqr = this.two;
let r = this.pow(this.nqr, e);
while (!r.equals(this.negone)) {
this.nqr = this.nqr.add(this.one);
r = this.pow(this.nqr, e);
}
this.s = this.zero;
this.t = this.negone;
while (!this.t.isOdd()) {
this.s = this.s.add(this.one);
this.t = this.t.shiftRight(this.one);
}
this.nqr_to_t = this.pow(this.nqr, this.t);
buildSqrt(this);
}
e(a,b) {
const res = BigInteger(a,b);
return this.normalize(res);
}
add(a, b) {
let res = a.add(b);
if (res.geq(this.p)) {
res = res.minus(this.p);
}
return res;
}
sub(a, b) {
if (a.geq(b)) {
return a.minus(b);
} else {
return this.p.minus(b.minus(a));
}
}
neg(a) {
if (a.isZero()) return a;
return this.p.minus(a);
}
mul(a, b) {
return a.times(b).mod(this.p);
}
mulScalar(base, s) {
return base.times(BigInteger(s)).mod(this.p);
}
square(a) {
return a.square().mod(this.p);
}
eq(a, b) {
return a.eq(b);
}
neq(a, b) {
return a.neq(b);
}
lt(a, b) {
const aa = a.gt(this.half) ? a.minus(this.p) : a;
const bb = b.gt(this.half) ? b.minus(this.p) : b;
return aa.lt(bb);
}
gt(a, b) {
const aa = a.gt(this.half) ? a.minus(this.p) : a;
const bb = b.gt(this.half) ? b.minus(this.p) : b;
return aa.gt(bb);
}
leq(a, b) {
const aa = a.gt(this.half) ? a.minus(this.p) : a;
const bb = b.gt(this.half) ? b.minus(this.p) : b;
return aa.leq(bb);
}
geq(a, b) {
const aa = a.gt(this.half) ? a.minus(this.p) : a;
const bb = b.gt(this.half) ? b.minus(this.p) : b;
return aa.geq(bb);
}
div(a, b) {
if (b.isZero()) throw new Error("Division by zero");
return a.times(b.modInv(this.p)).mod(this.p);
}
idiv(a, b) {
if (b.isZero()) throw new Error("Division by zero");
return a.divide(b);
}
inv(a) {
if (a.isZero()) throw new Error("Division by zero");
return a.modInv(this.p);
}
mod(a, b) {
return a.mod(b);
}
pow(a, b) {
return a.modPow(b, this.p);
}
exp(a, b) {
return a.modPow(b, this.p);
}
band(a, b) {
return a.and(b).and(this.mask).mod(this.p);
}
bor(a, b) {
return a.or(b).and(this.mask).mod(this.p);
}
bxor(a, b) {
return a.xor(b).and(this.mask).mod(this.p);
}
bnot(a) {
return a.xor(this.mask).mod(this.p);
}
shl(a, b) {
if (b.lt(this.bitLength)) {
return a.shiftLeft(b).and(this.mask).mod(this.p);
} else {
const nb = this.p.minus(b);
if (nb.lt(this.bitLength)) {
return this.shr(a, nb);
} else {
return BigInteger.zero;
}
}
}
shr(a, b) {
if (b.lt(this.bitLength)) {
return a.shiftRight(b);
} else {
const nb = this.p.minus(b);
if (nb.lt(this.bitLength)) {
return this.shl(a, nb);
} else {
return BigInteger.zero;
}
}
}
land(a, b) {
return (a.isZero() || b.isZero()) ? BigInteger.zero : BigInteger.one;
}
lor(a, b) {
return (a.isZero() && b.isZero()) ? BigInteger.zero : BigInteger.one;
}
lnot(a) {
return a.isZero() ? BigInteger.one : BigInteger.zero;
}
sqrt_old(n) {
if (n.equals(this.zero)) return this.zero;
// Test that have solution
const res = this.pow(n, this.negone.shiftRight(this.one));
if (!res.equals(this.one)) return null;
let m = parseInt(this.s);
let c = this.nqr_to_t;
let t = this.pow(n, this.t);
let r = this.pow(n, this.add(this.t, this.one).shiftRight(this.one) );
while (!t.equals(this.one)) {
let sq = this.square(t);
let i = 1;
while (!sq.equals(this.one)) {
i++;
sq = this.square(sq);
}
// b = c ^ m-i-1
let b = c;
for (let j=0; j< m-i-1; j ++) b = this.square(b);
m = i;
c = this.square(b);
t = this.mul(t, c);
r = this.mul(r, b);
}
if (r.greater(this.p.shiftRight(this.one))) {
r = this.neg(r);
}
return r;
}
normalize(a) {
a = BigInteger(a);
if (a.isNegative()) {
return this.p.minus(a.abs().mod(this.p));
} else {
return a.mod(this.p);
}
}
random() {
let res = BigInteger(0);
let n = BigInteger(this.p.square());
while (!n.isZero()) {
res = res.shiftLeft(8).add(BigInteger(getRandomBytes(1)[0]));
n = n.shiftRight(8);
}
return res.mod(this.p);
}
toString(a, base) {
let vs;
if (!a.lesserOrEquals(this.p.shiftRight(BigInteger(1)))) {
const v = this.p.minus(a);
vs = "-"+v.toString(base);
} else {
vs = a.toString(base);
}
return vs;
}
isZero(a) {
return a.isZero();
}
fromRng(rng) {
let v;
do {
v = BigInteger(0);
for (let i=0; i<this.n64; i++) {
v = v.add(v, rng.nextU64().shiftLeft(64*i));
}
v = v.and(this.mask);
} while (v.geq(this.p));
v = v.times(this.Ri).mod(this.q);
return v;
}
}
const supportsNativeBigInt$1 = typeof BigInt === "function";
let _F1Field;
if (supportsNativeBigInt$1) {
_F1Field = ZqField;
} else {
_F1Field = ZqField$1;
}
class F1Field extends _F1Field {
// Returns a buffer with Little Endian Representation
toRprLE(buff, o, e) {
toRprLE(buff, o, e, this.n64*8);
}
// Returns a buffer with Big Endian Representation
toRprBE(buff, o, e) {
toRprBE(buff, o, e, this.n64*8);
}
// Returns a buffer with Big Endian Montgomery Representation
toRprBEM(buff, o, e) {
return this.toRprBE(buff, o, this.mul(this.R, e));
}
toRprLEM(buff, o, e) {
return this.toRprLE(buff, o, this.mul(this.R, e));
}
// Pases a buffer with Little Endian Representation
fromRprLE(buff, o) {
return fromRprLE(buff, o, this.n8);
}
// Pases a buffer with Big Endian Representation
fromRprBE(buff, o) {
return fromRprBE(buff, o, this.n8);
}
fromRprLEM(buff, o) {
return this.mul(this.fromRprLE(buff, o), this.Ri);
}
fromRprBEM(buff, o) {
return this.mul(this.fromRprBE(buff, o), this.Ri);
}
}
/*
Copyright 2018 0kims association.
This file is part of snarkjs.
snarkjs is a free software: you can redistribute it and/or
modify it under the terms of the GNU General Public License as published by the
Free Software Foundation, either version 3 of the License, or (at your option)
any later version.
snarkjs is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
more details.
You should have received a copy of the GNU General Public License along with
snarkjs. If not, see <https://www.gnu.org/licenses/>.
*/
class F2Field {
constructor(F, nonResidue) {
this.type="F2";
this.F = F;
this.zero = [this.F.zero, this.F.zero];
this.one = [this.F.one, this.F.zero];
this.negone = this.neg(this.one);
this.nonResidue = nonResidue;
this.m = F.m*2;
this.p = F.p;
this.n64 = F.n64*2;
this.n32 = this.n64*2;
this.n8 = this.n64*8;
buildSqrt(this);
}
_mulByNonResidue(a) {
return this.F.mul(this.nonResidue, a);
}
copy(a) {
return [this.F.copy(a[0]), this.F.copy(a[1])];
}
add(a, b) {
return [
this.F.add(a[0], b[0]),
this.F.add(a[1], b[1])
];
}
double(a) {
return this.add(a,a);
}
sub(a, b) {
return [
this.F.sub(a[0], b[0]),
this.F.sub(a[1], b[1])
];
}
neg(a) {
return this.sub(this.zero, a);
}
conjugate(a) {
return [
a[0],
this.F.neg(a[1])
];
}
mul(a, b) {
const aA = this.F.mul(a[0] , b[0]);
const bB = this.F.mul(a[1] , b[1]);
return [
this.F.add( aA , this._mulByNonResidue(bB)),
this.F.sub(
this.F.mul(
this.F.add(a[0], a[1]),
this.F.add(b[0], b[1])),
this.F.add(aA, bB))];
}
inv(a) {
const t0 = this.F.square(a[0]);
const t1 = this.F.square(a[1]);
const t2 = this.F.sub(t0, this._mulByNonResidue(t1));
const t3 = this.F.inv(t2);
return [
this.F.mul(a[0], t3),
this.F.neg(this.F.mul( a[1], t3)) ];
}
div(a, b) {
return this.mul(a, this.inv(b));
}
square(a) {
const ab = this.F.mul(a[0] , a[1]);
/*
[
(a + b) * (a + non_residue * b) - ab - non_residue * ab,
ab + ab
];
*/
return [
this.F.sub(
this.F.mul(
this.F.add(a[0], a[1]) ,
this.F.add(
a[0] ,
this._mulByNonResidue(a[1]))),
this.F.add(
ab,
this._mulByNonResidue(ab))),
this.F.add(ab, ab)
];
}
isZero(a) {
return this.F.isZero(a[0]) && this.F.isZero(a[1]);
}
eq(a, b) {
return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]);
}
mulScalar(base, e) {
return mulScalar(this, base, e);
}
pow(base, e) {
return exp$3(this, base, e);
}
exp(base, e) {
return exp$3(this, base, e);
}
toString(a) {
return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])} ]`;
}
fromRng(rng) {
const c0 = this.F.fromRng(rng);
const c1 = this.F.fromRng(rng);
return [c0, c1];
}
gt(a, b) {
if (this.F.gt(a[0], b[0])) return true;
if (this.F.gt(b[0], a[0])) return false;
if (this.F.gt(a[1], b[1])) return true;
return false;
}
geq(a, b) {
return this.gt(a, b) || this.eq(a, b);
}
lt(a, b) {
return !this.geq(a,b);
}
leq(a, b) {
return !this.gt(a,b);
}
neq(a, b) {
return !this.eq(a,b);
}
random() {
return [this.F.random(), this.F.random()];
}
toRprLE(buff, o, e) {
this.F.toRprLE(buff, o, e[0]);
this.F.toRprLE(buff, o+this.F.n8, e[1]);
}
toRprBE(buff, o, e) {
this.F.toRprBE(buff, o, e[1]);
this.F.toRprBE(buff, o+this.F.n8, e[0]);
}
toRprLEM(buff, o, e) {
this.F.toRprLEM(buff, o, e[0]);
this.F.toRprLEM(buff, o+this.F.n8, e[1]);
}
toRprBEM(buff, o, e) {
this.F.toRprBEM(buff, o, e[1]);
this.F.toRprBEM(buff, o+this.F.n8, e[0]);
}
fromRprLE(buff, o) {
o = o || 0;
const c0 = this.F.fromRprLE(buff, o);
const c1 = this.F.fromRprLE(buff, o+this.F.n8);
return [c0, c1];
}
fromRprBE(buff, o) {
o = o || 0;
const c1 = this.F.fromRprBE(buff, o);
const c0 = this.F.fromRprBE(buff, o+this.F.n8);
return [c0, c1];
}
fromRprLEM(buff, o) {
o = o || 0;
const c0 = this.F.fromRprLEM(buff, o);
const c1 = this.F.fromRprLEM(buff, o+this.F.n8);
return [c0, c1];
}
fromRprBEM(buff, o) {
o = o || 0;
const c1 = this.F.fromRprBEM(buff, o);
const c0 = this.F.fromRprBEM(buff, o+this.F.n8);
return [c0, c1];
}
}
/*
Copyright 2018 0kims association.
This file is part of snarkjs.
snarkjs is a free software: you can redistribute it and/or
modify it under the terms of the GNU General Public License as published by the
Free Software Foundation, either version 3 of the License, or (at your option)
any later version.
snarkjs is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
more details.
You should have received a copy of the GNU General Public License along with
snarkjs. If not, see <https://www.gnu.org/licenses/>.
*/
class F3Field {
constructor(F, nonResidue) {
this.type="F3";
this.F = F;
this.zero = [this.F.zero, this.F.zero, this.F.zero];
this.one = [this.F.one, this.F.zero, this.F.zero];
this.negone = this.neg(this.one);
this.nonResidue = nonResidue;
this.m = F.m*3;
this.p = F.p;
this.n64 = F.n64*3;
this.n32 = this.n64*2;
this.n8 = this.n64*8;
}
_mulByNonResidue(a) {
return this.F.mul(this.nonResidue, a);
}
copy(a) {
return [this.F.copy(a[0]), this.F.copy(a[1]), this.F.copy(a[2])];
}
add(a, b) {
return [
this.F.add(a[0], b[0]),
this.F.add(a[1], b[1]),
this.F.add(a[2], b[2])
];
}
double(a) {
return this.add(a,a);
}
sub(a, b) {
return [
this.F.sub(a[0], b[0]),
this.F.sub(a[1], b[1]),
this.F.sub(a[2], b[2])
];
}
neg(a) {
return this.sub(this.zero, a);
}
mul(a, b) {
const aA = this.F.mul(a[0] , b[0]);
const bB = this.F.mul(a[1] , b[1]);
const cC = this.F.mul(a[2] , b[2]);
return [
this.F.add(
aA,
this._mulByNonResidue(
this.F.sub(
this.F.mul(
this.F.add(a[1], a[2]),
this.F.add(b[1], b[2])),
this.F.add(bB, cC)))), // aA + non_residue*((b+c)*(B+C)-bB-cC),
this.F.add(
this.F.sub(
this.F.mul(
this.F.add(a[0], a[1]),
this.F.add(b[0], b[1])),
this.F.add(aA, bB)),
this._mulByNonResidue( cC)), // (a+b)*(A+B)-aA-bB+non_residue*cC
this.F.add(
this.F.sub(
this.F.mul(
this.F.add(a[0], a[2]),
this.F.add(b[0], b[2])),
this.F.add(aA, cC)),
bB)]; // (a+c)*(A+C)-aA+bB-cC)
}
inv(a) {
const t0 = this.F.square(a[0]); // t0 = a^2 ;
const t1 = this.F.square(a[1]); // t1 = b^2 ;
const t2 = this.F.square(a[2]); // t2 = c^2;
const t3 = this.F.mul(a[0],a[1]); // t3 = ab
const t4 = this.F.mul(a[0],a[2]); // t4 = ac
const t5 = this.F.mul(a[1],a[2]); // t5 = bc;
// c0 = t0 - non_residue * t5;
const c0 = this.F.sub(t0, this._mulByNonResidue(t5));
// c1 = non_residue * t2 - t3;
const c1 = this.F.sub(this._mulByNonResidue(t2), t3);
const c2 = this.F.sub(t1, t4); // c2 = t1-t4
// t6 = (a * c0 + non_residue * (c * c1 + b * c2)).inv();
const t6 =
this.F.inv(
this.F.add(
this.F.mul(a[0], c0),
this._mulByNonResidue(
this.F.add(
this.F.mul(a[2], c1),
this.F.mul(a[1], c2)))));
return [
this.F.mul(t6, c0), // t6*c0
this.F.mul(t6, c1), // t6*c1
this.F.mul(t6, c2)]; // t6*c2
}
div(a, b) {
return this.mul(a, this.inv(b));
}
square(a) {
const s0 = this.F.square(a[0]); // s0 = a^2
const ab = this.F.mul(a[0], a[1]); // ab = a*b
const s1 = this.F.add(ab, ab); // s1 = 2ab;
const s2 = this.F.square(
this.F.add(this.F.sub(a[0],a[1]), a[2])); // s2 = (a - b + c)^2;
const bc = this.F.mul(a[1],a[2]); // bc = b*c
const s3 = this.F.add(bc, bc); // s3 = 2*bc
const s4 = this.F.square(a[2]); // s4 = c^2
return [
this.F.add(
s0,
this._mulByNonResidue(s3)), // s0 + non_residue * s3,
this.F.add(
s1,
this._mulByNonResidue(s4)), // s1 + non_residue * s4,
this.F.sub(
this.F.add( this.F.add(s1, s2) , s3 ),
this.F.add(s0, s4))]; // s1 + s2 + s3 - s0 - s4
}
isZero(a) {
return this.F.isZero(a[0]) && this.F.isZero(a[1]) && this.F.isZero(a[2]);
}
eq(a, b) {
return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]) && this.F.eq(a[2], b[2]);
}
affine(a) {
return [this.F.affine(a[0]), this.F.affine(a[1]), this.F.affine(a[2])];
}
mulScalar(base, e) {
return mulScalar(this, base, e);
}
pow(base, e) {
return exp$3(this, base, e);
}
exp(base, e) {
return exp$3(this, base, e);
}
toString(a) {
return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])}, ${this.F.toString(a[2])} ]`;
}
fromRng(rng) {
const c0 = this.F.fromRng(rng);
const c1 = this.F.fromRng(rng);
const c2 = this.F.fromRng(rng);
return [c0, c1, c2];
}
gt(a, b) {
if (this.F.gt(a[0], b[0])) return true;
if (this.F.gt(b[0], a[0])) return false;
if (this.F.gt(a[1], b[1])) return true;
if (this.F.gt(b[1], a[1])) return false;
if (this.F.gt(a[2], b[2])) return true;
return false;
}
geq(a, b) {
return this.gt(a, b) || this.eq(a, b);
}
lt(a, b) {
return !this.geq(a,b);
}
leq(a, b) {
return !this.gt(a,b);
}
neq(a, b) {
return !this.eq(a,b);
}
random() {
return [this.F.random(), this.F.random(), this.F.random()];
}
toRprLE(buff, o, e) {
this.F.toRprLE(buff, o, e[0]);
this.F.toRprLE(buff, o+this.F.n8, e[1]);
this.F.toRprLE(buff, o+this.F.n8*2, e[2]);
}
toRprBE(buff, o, e) {
this.F.toRprBE(buff, o, e[2]);
this.F.toRprBE(buff, o+this.F.n8, e[1]);
this.F.toRprBE(buff, o+this.F.n8*2, e[0]);
}
toRprLEM(buff, o, e) {
this.F.toRprLEM(buff, o, e[0]);
this.F.toRprLEM(buff, o+this.F.n8, e[1]);
this.F.toRprLEM(buff, o+this.F.n8*2, e[2]);
}
toRprBEM(buff, o, e) {
this.F.toRprBEM(buff, o, e[2]);
this.F.toRprBEM(buff, o+this.F.n8, e[1]);
this.F.toRprBEM(buff, o+this.F.n8*2, e[0]);
}
fromRprLE(buff, o) {
o = o || 0;
const c0 = this.F.fromRprLE(buff, o);
const c1 = this.F.fromRprLE(buff, o+this.n8);
const c2 = this.F.fromRprLE(buff, o+this.n8*2);
return [c0, c1, c2];
}
fromRprBE(buff, o) {
o = o || 0;
const c2 = this.F.fromRprBE(buff, o);
const c1 = this.F.fromRprBE(buff, o+this.n8);
const c0 = this.F.fromRprBE(buff, o+this.n8*2);
return [c0, c1, c2];
}
fromRprLEM(buff, o) {
o = o || 0;
const c0 = this.F.fromRprLEM(buff, o);
const c1 = this.F.fromRprLEM(buff, o+this.n8);
const c2 = this.F.fromRprLEM(buff, o+this.n8*2);
return [c0, c1, c2];
}
fromRprBEM(buff, o) {
o = o || 0;
const c2 = this.F.fromRprBEM(buff, o);
const c1 = this.F.fromRprBEM(buff, o+this.n8);
const c0 = this.F.fromRprBEM(buff, o+this.n8*2);
return [c0, c1, c2];
}
}
/*
Copyright 2018 0kims association.
This file is part of snarkjs.
snarkjs is a free software: you can redistribute it and/or
modify it under the terms of the GNU General Public License as published by the
Free Software Foundation, either version 3 of the License, or (at your option)
any later version.
snarkjs is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
more details.
You should have received a copy of the GNU General Public License along with
snarkjs. If not, see <https://www.gnu.org/licenses/>.
*/
function isGreatest(F, a) {
if (Array.isArray(a)) {
for (let i=a.length-1; i>=0; i--) {
if (!F.F.isZero(a[i])) {
return isGreatest(F.F, a[i]);
}
}
return 0;
} else {
const na = F.neg(a);
return gt$2(a, na);
}
}
class EC {
constructor(F, g) {
this.F = F;
this.g = g;
if (this.g.length == 2) this.g[2] = this.F.one;
this.zero = [this.F.zero, this.F.one, this.F.zero];
}
add(p1, p2) {
const F = this.F;
if (this.eq(p1, this.zero)) return p2;
if (this.eq(p2, this.zero)) return p1;
const res = new Array(3);
const Z1Z1 = F.square( p1[2] );
const Z2Z2 = F.square( p2[2] );
const U1 = F.mul( p1[0] , Z2Z2 ); // U1 = X1 * Z2Z2
const U2 = F.mul( p2[0] , Z1Z1 ); // U2 = X2 * Z1Z1
const Z1_cubed = F.mul( p1[2] , Z1Z1);
const Z2_cubed = F.mul( p2[2] , Z2Z2);
const S1 = F.mul( p1[1] , Z2_cubed); // S1 = Y1 * Z2 * Z2Z2
const S2 = F.mul( p2[1] , Z1_cubed); // S2 = Y2 * Z1 * Z1Z1
if (F.eq(U1,U2) && F.eq(S1,S2)) {
return this.double(p1);
}
const H = F.sub( U2 , U1 ); // H = U2-U1
const S2_minus_S1 = F.sub( S2 , S1 );
const I = F.square( F.add(H,H) ); // I = (2 * H)^2
const J = F.mul( H , I ); // J = H * I
const r = F.add( S2_minus_S1 , S2_minus_S1 ); // r = 2 * (S2-S1)
const V = F.mul( U1 , I ); // V = U1 * I
res[0] =
F.sub(
F.sub( F.square(r) , J ),
F.add( V , V )); // X3 = r^2 - J - 2 * V
const S1_J = F.mul( S1 , J );
res[1] =
F.sub(
F.mul( r , F.sub(V,res[0])),
F.add( S1_J,S1_J )); // Y3 = r * (V-X3)-2 S1 J
res[2] =
F.mul(
H,
F.sub(
F.square( F.add(p1[2],p2[2]) ),
F.add( Z1Z1 , Z2Z2 ))); // Z3 = ((Z1+Z2)^2-Z1Z1-Z2Z2) * H
return res;
}
neg(p) {
return [p[0], this.F.neg(p[1]), p[2]];
}
sub(a, b) {
return this.add(a, this.neg(b));
}
double(p) {
const F = this.F;
const res = new Array(3);
if (this.eq(p, this.zero)) return p;
const A = F.square( p[0] ); // A = X1^2
const B = F.square( p[1] ); // B = Y1^2
const C = F.square( B ); // C = B^2
let D =
F.sub(
F.square( F.add(p[0] , B )),
F.add( A , C));
D = F.add(D,D); // D = 2 * ((X1 + B)^2 - A - C)
const E = F.add( F.add(A,A), A); // E = 3 * A
const FF =F.square( E ); // F = E^2
res[0] = F.sub( FF , F.add(D,D) ); // X3 = F - 2 D
let eightC = F.add( C , C );
eightC = F.add( eightC , eightC );
eightC = F.add( eightC , eightC );
res[1] =
F.sub(
F.mul(
E,
F.sub( D, res[0] )),
eightC); // Y3 = E * (D - X3) - 8 * C
const Y1Z1 = F.mul( p[1] , p[2] );
res[2] = F.add( Y1Z1 , Y1Z1 ); // Z3 = 2 * Y1 * Z1
return res;
}
timesScalar(base, e) {
return mulScalar(this, base, e);
}
mulScalar(base, e) {
return mulScalar(this, base, e);
}
affine(p) {
const F = this.F;
if (this.isZero(p)) {
return this.zero;
} else if (F.eq(p[2], F.one)) {
return p;
} else {
const Z_inv = F.inv(p[2]);
const Z2_inv = F.square(Z_inv);
const Z3_inv = F.mul(Z2_inv, Z_inv);
const res = new Array(3);
res[0] = F.mul(p[0],Z2_inv);
res[1] = F.mul(p[1],Z3_inv);
res[2] = F.one;
return res;
}
}
multiAffine(arr) {
const keys = Object.keys(arr);
const F = this.F;
const accMul = new Array(keys.length+1);
accMul[0] = F.one;
for (let i = 0; i< keys.length; i++) {
if (F.eq(arr[keys[i]][2], F.zero)) {
accMul[i+1] = accMul[i];
} else {
accMul[i+1] = F.mul(accMul[i], arr[keys[i]][2]);
}
}
accMul[keys.length] = F.inv(accMul[keys.length]);
for (let i = keys.length-1; i>=0; i--) {
if (F.eq(arr[keys[i]][2], F.zero)) {
accMul[i] = accMul[i+1];
arr[keys[i]] = this.zero;
} else {
const Z_inv = F.mul(accMul[i], accMul[i+1]);
accMul[i] = F.mul(arr[keys[i]][2], accMul[i+1]);
const Z2_inv = F.square(Z_inv);
const Z3_inv = F.mul(Z2_inv, Z_inv);
arr[keys[i]][0] = F.mul(arr[keys[i]][0],Z2_inv);
arr[keys[i]][1] = F.mul(arr[keys[i]][1],Z3_inv);
arr[keys[i]][2] = F.one;
}
}
}
eq(p1, p2) {
const F = this.F;
if (this.F.eq(p1[2], this.F.zero)) return this.F.eq(p2[2], this.F.zero);
if (this.F.eq(p2[2], this.F.zero)) return false;
const Z1Z1 = F.square( p1[2] );
const Z2Z2 = F.square( p2[2] );
const U1 = F.mul( p1[0] , Z2Z2 );
const U2 = F.mul( p2[0] , Z1Z1 );
const Z1_cubed = F.mul( p1[2] , Z1Z1);
const Z2_cubed = F.mul( p2[2] , Z2Z2);
const S1 = F.mul( p1[1] , Z2_cubed);
const S2 = F.mul( p2[1] , Z1_cubed);
return (F.eq(U1,U2) && F.eq(S1,S2));
}
isZero(p) {
return this.F.isZero(p[2]);
}
toString(p) {
const cp = this.affine(p);
return `[ ${this.F.toString(cp[0])} , ${this.F.toString(cp[1])} ]`;
}
fromRng(rng) {
const F = this.F;
let P = [];
let greatest;
do {
P[0] = F.fromRng(rng);
greatest = rng.nextBool();
const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b);
P[1] = F.sqrt(x3b);
} while ((P[1] == null)||(F.isZero[P]));
const s = isGreatest(F, P[1]);
if (greatest ^ s) P[1] = F.neg(P[1]);
P[2] = F.one;
if (this.cofactor) {
P = this.mulScalar(P, this.cofactor);
}
P = this.affine(P);
return P;
}
toRprLE(buff, o, p) {
p = this.affine(p);
if (this.isZero(p)) {
const BuffV = new Uint8Array(buff, o, this.F.n8*2);
BuffV.fill(0);
return;
}
this.F.toRprLE(buff, o, p[0]);
this.F.toRprLE(buff, o+this.F.n8, p[1]);
}
toRprBE(buff, o, p) {
p = this.affine(p);
if (this.isZero(p)) {
const BuffV = new Uint8Array(buff, o, this.F.n8*2);
BuffV.fill(0);
return;
}
this.F.toRprBE(buff, o, p[0]);
this.F.toRprBE(buff, o+this.F.n8, p[1]);
}
toRprLEM(buff, o, p) {
p = this.affine(p);
if (this.isZero(p)) {
const BuffV = new Uint8Array(buff, o, this.F.n8*2);
BuffV.fill(0);
return;
}
this.F.toRprLEM(buff, o, p[0]);
this.F.toRprLEM(buff, o+this.F.n8, p[1]);
}
toRprLEJM(buff, o, p) {
p = this.affine(p);
if (this.isZero(p)) {
const BuffV = new Uint8Array(buff, o, this.F.n8*2);
BuffV.fill(0);
return;
}
this.F.toRprLEM(buff, o, p[0]);
this.F.toRprLEM(buff, o+this.F.n8, p[1]);
this.F.toRprLEM(buff, o+2*this.F.n8, p[2]);
}
toRprBEM(buff, o, p) {
p = this.affine(p);
if (this.isZero(p)) {
const BuffV = new Uint8Array(buff, o, this.F.n8*2);
BuffV.fill(0);
return;
}
this.F.toRprBEM(buff, o, p[0]);
this.F.toRprBEM(buff, o+this.F.n8, p[1]);
}
fromRprLE(buff, o) {
o = o || 0;
const x = this.F.fromRprLE(buff, o);
const y = this.F.fromRprLE(buff, o+this.F.n8);
if (this.F.isZero(x) && this.F.isZero(y)) {
return this.zero;
}
return [x, y, this.F.one];
}
fromRprBE(buff, o) {
o = o || 0;
const x = this.F.fromRprBE(buff, o);
const y = this.F.fromRprBE(buff, o+this.F.n8);
if (this.F.isZero(x) && this.F.isZero(y)) {
return this.zero;
}
return [x, y, this.F.one];
}
fromRprLEM(buff, o) {
o = o || 0;
const x = this.F.fromRprLEM(buff, o);
const y = this.F.fromRprLEM(buff, o+this.F.n8);
if (this.F.isZero(x) && this.F.isZero(y)) {
return this.zero;
}
return [x, y, this.F.one];
}
fromRprLEJM(buff, o) {
o = o || 0;
const x = this.F.fromRprLEM(buff, o);
const y = this.F.fromRprLEM(buff, o+this.F.n8);
const z = this.F.fromRprLEM(buff, o+this.F.n8*2);
if (this.F.isZero(x) && this.F.isZero(y)) {
return this.zero;
}
return [x, y, z];
}
fromRprBEM(buff, o) {
o = o || 0;
const x = this.F.fromRprBEM(buff, o);
const y = this.F.fromRprBEM(buff, o+this.F.n8);
if (this.F.isZero(x) && this.F.isZero(y)) {
return this.zero;
}
return [x, y, this.F.one];
}
fromRprCompressed(buff, o) {
const F = this.F;
const v = new Uint8Array(buff.buffer, o, F.n8);
if (v[0] & 0x40) return this.zero;
const P = new Array(3);
const greatest = ((v[0] & 0x80) != 0);
v[0] = v[0] & 0x7F;
P[0] = F.fromRprBE(buff, o);
if (greatest) v[0] = v[0] | 0x80; // set back again the old value
const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b);
P[1] = F.sqrt(x3b);
if (P[1] === null) {
throw new Error("Invalid Point!");
}
const s = isGreatest(F, P[1]);
if (greatest ^ s) P[1] = F.neg(P[1]);
P[2] = F.one;
return P;
}
toRprCompressed(buff, o, p) {
p = this.affine(p);
const v = new Uint8Array(buff.buffer, o, this.F.n8);
if (this.isZero(p)) {
v.fill(0);
v[0] = 0x40;
return;
}
this.F.toRprBE(buff, o, p[0]);
if (isGreatest(this.F, p[1])) {
v[0] = v[0] | 0x80;
}
}
fromRprUncompressed(buff, o) {
if (buff[0] & 0x40) return this.zero;
return this.fromRprBE(buff, o);
}
toRprUncompressed(buff, o, p) {
this.toRprBE(buff, o, p);
if (this.isZero(p)) {
buff[o] = buff[o] | 0x40;
}
}
}
var code = 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var pq = 520;
var pr = 1864;
var pG1gen = 24392;
var pG1zero = 24488;
var pG1b = 3240;
var pG2gen = 24584;
var pG2zero = 24776;
var pG2b = 10440;
var pOneT = 24968;
var prePSize = 192;
var preQSize = 19776;
var n8q = 32;
var n8r = 32;
var q = "21888242871839275222246405745257275088696311157297823662689037894645226208583";
var r = "21888242871839275222246405745257275088548364400416034343698204186575808495617";
var bn128_wasm = {
code: code,
pq: pq,
pr: pr,
pG1gen: pG1gen,
pG1zero: pG1zero,
pG1b: pG1b,
pG2gen: pG2gen,
pG2zero: pG2zero,
pG2b: pG2b,
pOneT: pOneT,
prePSize: prePSize,
preQSize: preQSize,
n8q: n8q,
n8r: n8r,
q: q,
r: r
};
var code$1 = 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var pq$1 = 760;
var pr$1 = 3640;
var pG1gen$1 = 33752;
var pG1zero$1 = 33896;
var pG1b$1 = 5016;
var pG2gen$1 = 34040;
var pG2zero$1 = 34328;
var pG2b$1 = 14728;
var pOneT$1 = 34616;
var prePSize$1 = 288;
var preQSize$1 = 20448;
var n8q$1 = 48;
var n8r$1 = 32;
var q$1 = "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787";
var r$1 = "52435875175126190479447740508185965837690552500527637822603658699938581184513";
var bls12381_wasm = {
code: code$1,
pq: pq$1,
pr: pr$1,
pG1gen: pG1gen$1,
pG1zero: pG1zero$1,
pG1b: pG1b$1,
pG2gen: pG2gen$1,
pG2zero: pG2zero$1,
pG2b: pG2b$1,
pOneT: pOneT$1,
prePSize: prePSize$1,
preQSize: preQSize$1,
n8q: n8q$1,
n8r: n8r$1,
q: q$1,
r: r$1
};
/*
Copyright 2019 0KIMS association.
This file is part of wasmsnark (Web Assembly zkSnark Prover).
wasmsnark is a free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
wasmsnark is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
License for more details.
You should have received a copy of the GNU General Public License
along with wasmsnark. If not, see <https://www.gnu.org/licenses/>.
*/
// module.exports.buildF1 = require("./src/f1.js");
// module.exports.buildBn128 = require("./src/bn128.js");
// module.exports.buildMnt6753 = require("./src/mnt6753.js");
var bn128_wasm$1 = bn128_wasm;
var bls12381_wasm$1 = bls12381_wasm;
// module.exports.mnt6753_wasm = require("./build/mnt6753_wasm.js");
var wasmcurves = {
bn128_wasm: bn128_wasm$1,
bls12381_wasm: bls12381_wasm$1
};
/* global BigInt */
function stringifyBigInts(o) {
if ((typeof(o) == "bigint") || o.eq !== undefined) {
return o.toString(10);
} else if (Array.isArray(o)) {
return o.map(stringifyBigInts);
} else if (typeof o == "object") {
const res = {};
const keys = Object.keys(o);
keys.forEach( (k) => {
res[k] = stringifyBigInts(o[k]);
});
return res;
} else {
return o;
}
}
function unstringifyBigInts(o) {
if ((typeof(o) == "string") && (/^[0-9]+$/.test(o) )) {
return BigInt(o);
} else if (Array.isArray(o)) {
return o.map(unstringifyBigInts);
} else if (typeof o == "object") {
if (o===null) return null;
const res = {};
const keys = Object.keys(o);
keys.forEach( (k) => {
res[k] = unstringifyBigInts(o[k]);
});
return res;
} else {
return o;
}
}
function beBuff2int(buff) {
let res = 0n;
let i = buff.length;
let offset = 0;
const buffV = new DataView(buff.buffer);
while (i>0) {
if (i >= 4) {
i -= 4;
res += BigInt(buffV.getUint32(i)) << BigInt(offset*8);
offset += 4;
} else if (i >= 2) {
i -= 2;
res += BigInt(buffV.getUint16(i)) << BigInt(offset*8);
offset += 2;
} else {
i -= 1;
res += BigInt(buffV.getUint8(i)) << BigInt(offset*8);
offset += 1;
}
}
return res;
}
function beInt2Buff(n, len) {
let r = n;
const buff = new Uint8Array(len);
const buffV = new DataView(buff.buffer);
let o = len;
while (o > 0) {
if (o-4 >= 0) {
o -= 4;
buffV.setUint32(o, Number(r & 0xFFFFFFFFn));
r = r >> 32n;
} else if (o-2 >= 0) {
o -= 2;
buffV.setUint16(o, Number(r & 0xFFFFn));
r = r >> 16n;
} else {
o -= 1;
buffV.setUint8(o, Number(r & 0xFFn));
r = r >> 8n;
}
}
if (r) {
throw new Error("Number does not fit in this length");
}
return buff;
}
function leBuff2int(buff) {
let res = 0n;
let i = 0;
const buffV = new DataView(buff.buffer);
while (i<buff.length) {
if (i + 4 <= buff.length) {
res += BigInt(buffV.getUint32(i, true)) << BigInt( i*8);
i += 4;
} else if (i + 4 <= buff.length) {
res += BigInt(buffV.getUint16(i, true)) << BigInt( i*8);
i += 2;
} else {
res += BigInt(buffV.getUint8(i, true)) << BigInt( i*8);
i += 1;
}
}
return res;
}
function leInt2Buff(n, len) {
let r = n;
if (typeof len === "undefined") {
len = Math.floor((bitLength$2(n) - 1) / 8) +1;
if (len==0) len = 1;
}
const buff = new Uint8Array(len);
const buffV = new DataView(buff.buffer);
let o = 0;
while (o < len) {
if (o+4 <= len) {
buffV.setUint32(o, Number(r & 0xFFFFFFFFn), true );
o += 4;
r = r >> 32n;
} else if (o+2 <= len) {
buff.setUint16(Number(o, r & 0xFFFFn), true );
o += 2;
r = r >> 16n;
} else {
buff.setUint8(Number(o, r & 0xFFn), true );
o += 1;
r = r >> 8n;
}
}
if (r) {
throw new Error("Number does not fit in this length");
}
return buff;
}
var utils_native = /*#__PURE__*/Object.freeze({
__proto__: null,
stringifyBigInts: stringifyBigInts,
unstringifyBigInts: unstringifyBigInts,
beBuff2int: beBuff2int,
beInt2Buff: beInt2Buff,
leBuff2int: leBuff2int,
leInt2Buff: leInt2Buff
});
function stringifyBigInts$1(o) {
if ((typeof(o) == "bigint") || o.eq !== undefined) {
return o.toString(10);
} else if (Array.isArray(o)) {
return o.map(stringifyBigInts$1);
} else if (typeof o == "object") {
const res = {};
const keys = Object.keys(o);
keys.forEach( (k) => {
res[k] = stringifyBigInts$1(o[k]);
});
return res;
} else {
return o;
}
}
function unstringifyBigInts$1(o) {
if ((typeof(o) == "string") && (/^[0-9]+$/.test(o) )) {
return BigInteger(o);
} else if (Array.isArray(o)) {
return o.map(unstringifyBigInts$1);
} else if (typeof o == "object") {
const res = {};
const keys = Object.keys(o);
keys.forEach( (k) => {
res[k] = unstringifyBigInts$1(o[k]);
});
return res;
} else {
return o;
}
}
function beBuff2int$1(buff) {
let res = BigInteger.zero;
for (let i=0; i<buff.length; i++) {
const n = BigInteger(buff[buff.length - i - 1]);
res = res.add(n.shiftLeft(i*8));
}
return res;
}
function beInt2Buff$1(n, len) {
let r = n;
let o =len-1;
const buff = new Uint8Array(len);
while ((r.gt(BigInteger.zero))&&(o>=0)) {
let c = Number(r.and(BigInteger("255")));
buff[o] = c;
o--;
r = r.shiftRight(8);
}
if (!r.eq(BigInteger.zero)) {
throw new Error("Number does not fit in this length");
}
return buff;
}
function leBuff2int$1 (buff) {
let res = BigInteger.zero;
for (let i=0; i<buff.length; i++) {
const n = BigInteger(buff[i]);
res = res.add(n.shiftLeft(i*8));
}
return res;
}
function leInt2Buff$1(n, len) {
let r = n;
let o =0;
const buff = new Uint8Array(len);
while ((r.gt(BigInteger.zero))&&(o<buff.length)) {
let c = Number(r.and(BigInteger(255)));
buff[o] = c;
o++;
r = r.shiftRight(8);
}
if (!r.eq(BigInteger.zero)) {
throw new Error("Number does not fit in this length");
}
return buff;
}
var utils_bigint = /*#__PURE__*/Object.freeze({
__proto__: null,
stringifyBigInts: stringifyBigInts$1,
unstringifyBigInts: unstringifyBigInts$1,
beBuff2int: beBuff2int$1,
beInt2Buff: beInt2Buff$1,
leBuff2int: leBuff2int$1,
leInt2Buff: leInt2Buff$1
});
let utils = {};
const supportsNativeBigInt$2 = typeof BigInt === "function";
if (supportsNativeBigInt$2) {
Object.assign(utils, utils_native);
} else {
Object.assign(utils, utils_bigint);
}
const _revTable$1 = [];
for (let i=0; i<256; i++) {
_revTable$1[i] = _revSlow$1(i, 8);
}
function _revSlow$1(idx, bits) {
let res =0;
let a = idx;
for (let i=0; i<bits; i++) {
res <<= 1;
res = res | (a &1);
a >>=1;
}
return res;
}
utils.bitReverse = function bitReverse(idx, bits) {
return (
_revTable$1[idx >>> 24] |
(_revTable$1[(idx >>> 16) & 0xFF] << 8) |
(_revTable$1[(idx >>> 8) & 0xFF] << 16) |
(_revTable$1[idx & 0xFF] << 24)
) >>> (32-bits);
};
utils.log2 = function log2( V )
{
return( ( ( V & 0xFFFF0000 ) !== 0 ? ( V &= 0xFFFF0000, 16 ) : 0 ) | ( ( V & 0xFF00FF00 ) !== 0 ? ( V &= 0xFF00FF00, 8 ) : 0 ) | ( ( V & 0xF0F0F0F0 ) !== 0 ? ( V &= 0xF0F0F0F0, 4 ) : 0 ) | ( ( V & 0xCCCCCCCC ) !== 0 ? ( V &= 0xCCCCCCCC, 2 ) : 0 ) | ( ( V & 0xAAAAAAAA ) !== 0 ) );
};
utils.buffReverseBits = function buffReverseBits(buff, eSize) {
const n = buff.byteLength /eSize;
const bits = utils.log2(n);
if (n != (1 << bits)) {
throw new Error("Invalid number of pointers");
}
for (let i=0; i<n; i++) {
const r = utils.bitReverse(i,bits);
if (i>r) {
const tmp = buff.slice(i*eSize, (i+1)*eSize);
buff.set( buff.slice(r*eSize, (r+1)*eSize), i*eSize);
buff.set(tmp, r*eSize);
}
}
};
let {
bitReverse,
log2: log2$1,
buffReverseBits,
stringifyBigInts: stringifyBigInts$2,
unstringifyBigInts: unstringifyBigInts$2,
beBuff2int: beBuff2int$2,
beInt2Buff: beInt2Buff$2,
leBuff2int: leBuff2int$2,
leInt2Buff: leInt2Buff$2,
} = utils;
var _utils = /*#__PURE__*/Object.freeze({
__proto__: null,
bitReverse: bitReverse,
log2: log2$1,
buffReverseBits: buffReverseBits,
stringifyBigInts: stringifyBigInts$2,
unstringifyBigInts: unstringifyBigInts$2,
beBuff2int: beBuff2int$2,
beInt2Buff: beInt2Buff$2,
leBuff2int: leBuff2int$2,
leInt2Buff: leInt2Buff$2
});
function buildBatchConvert(tm, fnName, sIn, sOut) {
return async function batchConvert(buffIn) {
const nPoints = Math.floor(buffIn.byteLength / sIn);
if ( nPoints * sIn !== buffIn.byteLength) {
throw new Error("Invalid buffer size");
}
const pointsPerChunk = Math.floor(nPoints/tm.concurrency);
const opPromises = [];
for (let i=0; i<tm.concurrency; i++) {
let n;
if (i< tm.concurrency-1) {
n = pointsPerChunk;
} else {
n = nPoints - i*pointsPerChunk;
}
if (n==0) continue;
const buffChunk = buffIn.slice(i*pointsPerChunk*sIn, i*pointsPerChunk*sIn + n*sIn);
const task = [
{cmd: "ALLOCSET", var: 0, buff:buffChunk},
{cmd: "ALLOC", var: 1, len:sOut * n},
{cmd: "CALL", fnName: fnName, params: [
{var: 0},
{val: n},
{var: 1}
]},
{cmd: "GET", out: 0, var: 1, len:sOut * n},
];
opPromises.push(
tm.queueAction(task)
);
}
const result = await Promise.all(opPromises);
const fullBuffOut = new Uint8Array(nPoints*sOut);
let p =0;
for (let i=0; i<result.length; i++) {
fullBuffOut.set(result[i][0], p);
p+=result[i][0].byteLength;
}
return fullBuffOut;
};
}
class WasmField1 {
constructor(tm, prefix, n8, p) {
this.tm = tm;
this.prefix = prefix;
this.p = p;
this.n8 = n8;
this.type = "F1";
this.m = 1;
this.half = shiftRight$2(p, one);
this.bitLength = bitLength$2(p);
this.mask = sub$2(shiftLeft$2(one, this.bitLength), one);
this.pOp1 = tm.alloc(n8);
this.pOp2 = tm.alloc(n8);
this.pOp3 = tm.alloc(n8);
this.tm.instance.exports[prefix + "_zero"](this.pOp1);
this.zero = this.tm.getBuff(this.pOp1, this.n8);
this.tm.instance.exports[prefix + "_one"](this.pOp1);
this.one = this.tm.getBuff(this.pOp1, this.n8);
this.negone = this.neg(this.one);
this.two = this.add(this.one, this.one);
this.n64 = Math.floor(n8/8);
this.n32 = Math.floor(n8/4);
if(this.n64*8 != this.n8) {
throw new Error("n8 must be a multiple of 8");
}
this.half = shiftRight$2(this.p, one);
this.nqr = this.two;
let r = this.exp(this.nqr, this.half);
while (!this.eq(r, this.negone)) {
this.nqr = this.add(this.nqr, this.one);
r = this.exp(this.nqr, this.half);
}
this.s = 0;
let t = sub$2(this.p, one);
while ( !isOdd$2(t) ) {
this.s = this.s + 1;
t = shiftRight$2(t, one);
}
this.w = [];
this.w[this.s] = this.exp(this.nqr, t);
for (let i= this.s-1; i>=0; i--) {
this.w[i] = this.square(this.w[i+1]);
}
if (!this.eq(this.w[0], this.one)) {
throw new Error("Error calculating roots of unity");
}
this.batchToMontgomery = buildBatchConvert(tm, prefix + "_batchToMontgomery", this.n8, this.n8);
this.batchFromMontgomery = buildBatchConvert(tm, prefix + "_batchFromMontgomery", this.n8, this.n8);
}
op2(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
op2Bool(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2);
}
op1(opName, a) {
this.tm.setBuff(this.pOp1, a);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
op1Bool(opName, a) {
this.tm.setBuff(this.pOp1, a);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
}
add(a,b) {
return this.op2("_add", a, b);
}
eq(a,b) {
return this.op2Bool("_eq", a, b);
}
isZero(a) {
return this.op1Bool("_isZero", a);
}
sub(a,b) {
return this.op2("_sub", a, b);
}
neg(a) {
return this.op1("_neg", a);
}
inv(a) {
return this.op1("_inverse", a);
}
toMontgomery(a) {
return this.op1("_toMontgomery", a);
}
fromMontgomery(a) {
return this.op1("_fromMontgomery", a);
}
mul(a,b) {
return this.op2("_mul", a, b);
}
div(a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2);
this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
square(a) {
return this.op1("_square", a);
}
isSquare(a) {
return this.op1Bool("_isSquare", a);
}
sqrt(a) {
return this.op1("_sqrt", a);
}
exp(a, b) {
if (!(b instanceof Uint8Array)) {
b = toLEBuff(e$2(b));
}
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
isNegative(a) {
return this.op1Bool("_isNegative", a);
}
e(a, b) {
if (a instanceof Uint8Array) return a;
let ra = e$2(a, b);
if (isNegative$2(ra)) {
ra = neg$2(ra);
if (gt$2(ra, this.p)) {
ra = mod$2(ra, this.p);
}
ra = sub$2(this.p, ra);
} else {
if (gt$2(ra, this.p)) {
ra = mod$2(ra, this.p);
}
}
const buff = leInt2Buff$2(ra, this.n8);
return this.toMontgomery(buff);
}
toString(a, radix) {
const an = this.fromMontgomery(a);
const s = fromRprLE(an, 0);
return toString(s, radix);
}
fromRng(rng) {
let v;
const buff = new Uint8Array(this.n8);
do {
v = zero;
for (let i=0; i<this.n64; i++) {
v = add$2(v, shiftLeft$2(rng.nextU64(), 64*i));
}
v = band$2(v, this.mask);
} while (geq$2(v, this.p));
toRprLE(buff, 0, v, this.n8);
return buff;
}
random() {
return this.fromRng(getThreadRng());
}
toObject(a) {
const an = this.fromMontgomery(a);
return fromRprLE(an, 0);
}
fromObject(a) {
const buff = new Uint8Array(this.n8);
toRprLE(buff, 0, a, this.n8);
return this.toMontgomery(buff);
}
toRprLE(buff, offset, a) {
buff.set(this.fromMontgomery(a), offset);
}
fromRprLE(buff, offset) {
const res = buff.slice(offset, offset + this.n8);
return this.toMontgomery(res);
}
}
class WasmField2 {
constructor(tm, prefix, F) {
this.tm = tm;
this.prefix = prefix;
this.F = F;
this.type = "F2";
this.m = F.m * 2;
this.n8 = this.F.n8*2;
this.n32 = this.F.n32*2;
this.n64 = this.F.n64*2;
this.pOp1 = tm.alloc(F.n8*2);
this.pOp2 = tm.alloc(F.n8*2);
this.pOp3 = tm.alloc(F.n8*2);
this.tm.instance.exports[prefix + "_zero"](this.pOp1);
this.zero = tm.getBuff(this.pOp1, this.n8);
this.tm.instance.exports[prefix + "_one"](this.pOp1);
this.one = tm.getBuff(this.pOp1, this.n8);
this.negone = this.neg(this.one);
this.two = this.add(this.one, this.one);
}
op2(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
op2Bool(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2);
}
op1(opName, a) {
this.tm.setBuff(this.pOp1, a);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
op1Bool(opName, a) {
this.tm.setBuff(this.pOp1, a);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
}
add(a,b) {
return this.op2("_add", a, b);
}
eq(a,b) {
return this.op2Bool("_eq", a, b);
}
isZero(a) {
return this.op1Bool("_isZero", a);
}
sub(a,b) {
return this.op2("_sub", a, b);
}
neg(a) {
return this.op1("_neg", a);
}
inv(a) {
return this.op1("_inverse", a);
}
isNegative(a) {
return this.op1Bool("_isNegative", a);
}
toMontgomery(a) {
return this.op1("_toMontgomery", a);
}
fromMontgomery(a) {
return this.op1("_fromMontgomery", a);
}
mul(a,b) {
return this.op2("_mul", a, b);
}
div(a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2);
this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
square(a) {
return this.op1("_square", a);
}
isSquare(a) {
return this.op1Bool("_isSquare", a);
}
sqrt(a) {
return this.op1("_sqrt", a);
}
exp(a, b) {
if (!(b instanceof Uint8Array)) {
b = toLEBuff(e$2(b));
}
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
e(a, b) {
if (a instanceof Uint8Array) return a;
if ((Array.isArray(a)) && (a.length == 2)) {
const c1 = this.F.e(a[0], b);
const c2 = this.F.e(a[1], b);
const res = new Uint8Array(this.F.n8*2);
res.set(c1);
res.set(c2, this.F.n8*2);
return res;
} else {
throw new Error("invalid F2");
}
}
toString(a, radix) {
const s1 = this.F.toString(a.slice(0, this.F.n8), radix);
const s2 = this.F.toString(a.slice(this.F.n8), radix);
return `[${s1}, ${s2}]`;
}
fromRng(rng) {
const c1 = this.F.fromRng(rng);
const c2 = this.F.fromRng(rng);
const res = new Uint8Array(this.F.n8*2);
res.set(c1);
res.set(c2, this.F.n8);
return res;
}
random() {
return this.fromRng(getThreadRng());
}
toObject(a) {
const c1 = this.F.toObject(a.slice(0, this.F.n8));
const c2 = this.F.toObject(a.slice(this.F.n8, this.F.n8*2));
return [c1, c2];
}
fromObject(a) {
const buff = new Uint8Array(this.F.n8*2);
const b1 = this.F.fromObject(a[0]);
const b2 = this.F.fromObject(a[1]);
buff.set(b1);
buff.set(b2, this.F.n8);
return buff;
}
}
class WasmField3 {
constructor(tm, prefix, F) {
this.tm = tm;
this.prefix = prefix;
this.F = F;
this.type = "F3";
this.m = F.m * 3;
this.n8 = this.F.n8*3;
this.n32 = this.F.n32*3;
this.n64 = this.F.n64*3;
this.pOp1 = tm.alloc(F.n8*3);
this.pOp2 = tm.alloc(F.n8*3);
this.pOp3 = tm.alloc(F.n8*3);
this.tm.instance.exports[prefix + "_zero"](this.pOp1);
this.zero = tm.getBuff(this.pOp1, this.n8);
this.tm.instance.exports[prefix + "_one"](this.pOp1);
this.one = tm.getBuff(this.pOp1, this.n8);
this.negone = this.neg(this.one);
this.two = this.add(this.one, this.one);
}
op2(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
op2Bool(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2);
}
op1(opName, a) {
this.tm.setBuff(this.pOp1, a);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
op1Bool(opName, a) {
this.tm.setBuff(this.pOp1, a);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
}
eq(a,b) {
return this.op2Bool("_eq", a, b);
}
isZero(a) {
return this.op1Bool("_isZero", a);
}
add(a,b) {
return this.op2("_add", a, b);
}
sub(a,b) {
return this.op2("_sub", a, b);
}
neg(a) {
return this.op1("_neg", a);
}
inv(a) {
return this.op1("_inverse", a);
}
isNegative(a) {
return this.op1Bool("_isNegative", a);
}
toMontgomery(a) {
return this.op1("_toMontgomery", a);
}
fromMontgomery(a) {
return this.op1("_fromMontgomery", a);
}
mul(a,b) {
return this.op2("_mul", a, b);
}
div(a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2);
this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.n8);
}
square(a) {
return this.op1("_square", a);
}
isSquare(a) {
return this.op1Bool("_isSquare", a);
}
sqrt(a) {
return this.op1("_sqrt", a);
}
exp(a, b) {
if (!(b instanceof Uint8Array)) {
b = toLEBuff(e$2(b));
}
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3);
return this.getBuff(this.pOp3, this.n8);
}
e(a, b) {
if (a instanceof Uint8Array) return a;
if ((Array.isArray(a)) && (a.length == 3)) {
const c1 = this.F.e(a[0], b);
const c2 = this.F.e(a[1], b);
const c3 = this.F.e(a[2], b);
const res = new Uint8Array(this.F.n8*3);
res.set(c1);
res.set(c2, this.F.n8);
res.set(c3, this.F.n8*2);
return res;
} else {
throw new Error("invalid F3");
}
}
toString(a, radix) {
const s1 = this.F.toString(a.slice(0, this.F.n8), radix);
const s2 = this.F.toString(a.slice(this.F.n8, this.F.n8*2), radix);
const s3 = this.F.toString(a.slice(this.F.n8*2), radix);
return `[${s1}, ${s2}, ${s3}]`;
}
fromRng(rng) {
const c1 = this.F.fromRng(rng);
const c2 = this.F.fromRng(rng);
const c3 = this.F.fromRng(rng);
const res = new Uint8Array(this.F.n8*3);
res.set(c1);
res.set(c2, this.F.n8);
res.set(c3, this.F.n8*2);
return res;
}
random() {
return this.fromRng(getThreadRng());
}
toObject(a) {
const c1 = this.F.toObject(a.slice(0, this.F.n8));
const c2 = this.F.toObject(a.slice(this.F.n8, this.F.n8*2));
const c3 = this.F.toObject(a.slice(this.F.n8*2, this.F.n8*3));
return [c1, c2, c3];
}
fromObject(a) {
const buff = new Uint8Array(this.F.n8*3);
const b1 = this.F.fromObject(a[0]);
const b2 = this.F.fromObject(a[1]);
const b3 = this.F.fromObject(a[2]);
buff.set(b1);
buff.set(b2, this.F.n8);
buff.set(b3, this.F.n8*2);
return buff;
}
}
class WasmCurve {
constructor(tm, prefix, F, pGen, pGb, cofactor) {
this.tm = tm;
this.prefix = prefix;
this.F = F;
this.pOp1 = tm.alloc(F.n8*3);
this.pOp2 = tm.alloc(F.n8*3);
this.pOp3 = tm.alloc(F.n8*3);
this.tm.instance.exports[prefix + "_zero"](this.pOp1);
this.zero = this.tm.getBuff(this.pOp1, F.n8*3);
this.tm.instance.exports[prefix + "_zeroAffine"](this.pOp1);
this.zeroAffine = this.tm.getBuff(this.pOp1, F.n8*2);
this.one = this.tm.getBuff(pGen, F.n8*3);
this.g = this.one;
this.oneAffine = this.tm.getBuff(pGen, F.n8*2);
this.gAffine = this.oneAffine;
this.b = this.tm.getBuff(pGb, F.n8);
if (cofactor) {
this.cofactor = toLEBuff(cofactor);
}
this.negone = this.neg(this.one);
this.two = this.add(this.one, this.one);
this.batchLEMtoC = buildBatchConvert(tm, prefix + "_batchLEMtoC", F.n8*2, F.n8);
this.batchLEMtoU = buildBatchConvert(tm, prefix + "_batchLEMtoU", F.n8*2, F.n8*2);
this.batchCtoLEM = buildBatchConvert(tm, prefix + "_batchCtoLEM", F.n8, F.n8*2);
this.batchUtoLEM = buildBatchConvert(tm, prefix + "_batchUtoLEM", F.n8*2, F.n8*2);
this.batchToJacobian = buildBatchConvert(tm, prefix + "_batchToJacobian", F.n8*2, F.n8*3);
this.batchToAffine = buildBatchConvert(tm, prefix + "_batchToAffine", F.n8*3, F.n8*2);
}
op2(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.F.n8*3);
}
op2bool(opName, a, b) {
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, b);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3);
}
op1(opName, a) {
this.tm.setBuff(this.pOp1, a);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
return this.tm.getBuff(this.pOp3, this.F.n8*3);
}
op1Affine(opName, a) {
this.tm.setBuff(this.pOp1, a);
this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
return this.tm.getBuff(this.pOp3, this.F.n8*2);
}
op1Bool(opName, a) {
this.tm.setBuff(this.pOp1, a);
return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3);
}
add(a,b) {
if (a.byteLength == this.F.n8*3) {
if (b.byteLength == this.F.n8*3) {
return this.op2("_add", a, b);
} else if (b.byteLength == this.F.n8*2) {
return this.op2("_addMixed", a, b);
} else {
throw new Error("invalid point size");
}
} else if (a.byteLength == this.F.n8*2) {
if (b.byteLength == this.F.n8*3) {
return this.op2("_addMixed", b, a);
} else if (b.byteLength == this.F.n8*2) {
return this.op2("_addAffine", a, b);
} else {
throw new Error("invalid point size");
}
} else {
throw new Error("invalid point size");
}
}
sub(a,b) {
if (a.byteLength == this.F.n8*3) {
if (b.byteLength == this.F.n8*3) {
return this.op2("_sub", a, b);
} else if (b.byteLength == this.F.n8*2) {
return this.op2("_subMixed", a, b);
} else {
throw new Error("invalid point size");
}
} else if (a.byteLength == this.F.n8*2) {
if (b.byteLength == this.F.n8*3) {
return this.op2("_subMixed", b, a);
} else if (b.byteLength == this.F.n8*2) {
return this.op2("_subAffine", a, b);
} else {
throw new Error("invalid point size");
}
} else {
throw new Error("invalid point size");
}
}
neg(a) {
if (a.byteLength == this.F.n8*3) {
return this.op1("_neg", a);
} else if (a.byteLength == this.F.n8*2) {
return this.op1Affine("_negAffine", a);
} else {
throw new Error("invalid point size");
}
}
double(a) {
if (a.byteLength == this.F.n8*3) {
return this.op1("_double", a);
} else if (a.byteLength == this.F.n8*2) {
return this.op1("_doubleAffine", a);
} else {
throw new Error("invalid point size");
}
}
isZero(a) {
if (a.byteLength == this.F.n8*3) {
return this.op1Bool("_isZero", a);
} else if (a.byteLength == this.F.n8*2) {
return this.op1Bool("_isZeroAffine", a);
} else {
throw new Error("invalid point size");
}
}
timesScalar(a, s) {
if (!(s instanceof Uint8Array)) {
s = toLEBuff(e$2(s));
}
let fnName;
if (a.byteLength == this.F.n8*3) {
fnName = this.prefix + "_timesScalar";
} else if (a.byteLength == this.F.n8*2) {
fnName = this.prefix + "_timesScalarAffine";
} else {
throw new Error("invalid point size");
}
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, s);
this.tm.instance.exports[fnName](this.pOp1, this.pOp2, s.byteLength, this.pOp3);
return this.tm.getBuff(this.pOp3, this.F.n8*3);
}
timesFr(a, s) {
let fnName;
if (a.byteLength == this.F.n8*3) {
fnName = this.prefix + "_timesFr";
} else if (a.byteLength == this.F.n8*2) {
fnName = this.prefix + "_timesFrAffine";
} else {
throw new Error("invalid point size");
}
this.tm.setBuff(this.pOp1, a);
this.tm.setBuff(this.pOp2, s);
this.tm.instance.exports[fnName](this.pOp1, this.pOp2, this.pOp3);
return this.tm.getBuff(this.pOp3, this.F.n8*3);
}
eq(a,b) {
if (a.byteLength == this.F.n8*3) {
if (b.byteLength == this.F.n8*3) {
return this.op2bool("_eq", a, b);
} else if (b.byteLength == this.F.n8*2) {
return this.op2bool("_eqMixed", a, b);
} else {
throw new Error("invalid point size");
}
} else if (a.byteLength == this.F.n8*2) {
if (b.byteLength == this.F.n8*3) {
return this.op2bool("_eqMixed", b, a);
} else if (b.byteLength == this.F.n8*2) {
return this.op2bool("_eqAffine", a, b);
} else {
throw new Error("invalid point size");
}
} else {
throw new Error("invalid point size");
}
}
toAffine(a) {
if (a.byteLength == this.F.n8*3) {
return this.op1Affine("_toAffine", a);
} else if (a.byteLength == this.F.n8*2) {
return a;
} else {
throw new Error("invalid point size");
}
}
toJacobian(a) {
if (a.byteLength == this.F.n8*3) {
return a;
} else if (a.byteLength == this.F.n8*2) {
return this.op1("_toJacobian", a);
} else {
throw new Error("invalid point size");
}
}
toRprUncompressed(arr, offset, a) {
this.tm.setBuff(this.pOp1, a);
if (a.byteLength == this.F.n8*3) {
this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1);
} else if (a.byteLength != this.F.n8*2) {
throw new Error("invalid point size");
}
this.tm.instance.exports[this.prefix + "_LEMtoU"](this.pOp1, this.pOp1);
const res = this.tm.getBuff(this.pOp1, this.F.n8*2);
arr.set(res, offset);
}
fromRprUncompressed(arr, offset) {
const buff = arr.slice(offset, offset + this.F.n8*2);
this.tm.setBuff(this.pOp1, buff);
this.tm.instance.exports[this.prefix + "_UtoLEM"](this.pOp1, this.pOp1);
return this.tm.getBuff(this.pOp1, this.F.n8*2);
}
toRprCompressed(arr, offset, a) {
this.tm.setBuff(this.pOp1, a);
if (a.byteLength == this.F.n8*3) {
this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1);
} else if (a.byteLength != this.F.n8*2) {
throw new Error("invalid point size");
}
this.tm.instance.exports[this.prefix + "_LEMtoC"](this.pOp1, this.pOp1);
const res = this.tm.getBuff(this.pOp1, this.F.n8);
arr.set(res, offset);
}
fromRprCompressed(arr, offset) {
const buff = arr.slice(offset, offset + this.F.n8);
this.tm.setBuff(this.pOp1, buff);
this.tm.instance.exports[this.prefix + "_CtoLEM"](this.pOp1, this.pOp2);
return this.tm.getBuff(this.pOp2, this.F.n8*2);
}
toUncompressed(a) {
const buff = new Uint8Array(this.F.n8*2);
this.toRprUncompressed(buff, 0, a);
return buff;
}
toRprLEM(arr, offset, a) {
if (a.byteLength == this.F.n8*2) {
arr.set(a, offset);
return;
} else if (a.byteLength == this.F.n8*3) {
this.tm.setBuff(this.pOp1, a);
this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1);
const res = this.tm.getBuff(this.pOp1, this.F.n8*2);
arr.set(res, offset);
} else {
throw new Error("invalid point size");
}
}
fromRprLEM(arr, offset) {
offset = offset || 0;
return arr.slice(offset, offset+this.F.n8*2);
}
toString(a, radix) {
if (a.byteLength == this.F.n8*3) {
const x = this.F.toString(a.slice(0, this.F.n8), radix);
const y = this.F.toString(a.slice(this.F.n8, this.F.n8*2), radix);
const z = this.F.toString(a.slice(this.F.n8*2), radix);
return `[ ${x}, ${y}, ${z} ]`;
} else if (a.byteLength == this.F.n8*2) {
const x = this.F.toString(a.slice(0, this.F.n8), radix);
const y = this.F.toString(a.slice(this.F.n8), radix);
return `[ ${x}, ${y} ]`;
} else {
throw new Error("invalid point size");
}
}
fromRng(rng) {
const F = this.F;
let P = [];
let greatest;
let x3b;
do {
P[0] = F.fromRng(rng);
greatest = rng.nextBool();
x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b);
} while (!F.isSquare(x3b));
P[1] = F.sqrt(x3b);
const s = F.isNegative(P[1]);
if (greatest ^ s) P[1] = F.neg(P[1]);
let Pbuff = new Uint8Array(this.F.n8*2);
Pbuff.set(P[0]);
Pbuff.set(P[1], this.F.n8);
if (this.cofactor) {
Pbuff = this.timesScalar(Pbuff, this.cofactor);
}
return Pbuff;
}
toObject(a) {
if (this.isZero(a)) {
return [
this.F.toObject(this.F.zero),
this.F.toObject(this.F.one),
this.F.toObject(this.F.zero),
];
}
const x = this.F.toObject(a.slice(0, this.F.n8));
const y = this.F.toObject(a.slice(this.F.n8, this.F.n8*2));
let z;
if (a.byteLength == this.F.n8*3) {
z = this.F.toObject(a.slice(this.F.n8*2, this.F.n8*3));
} else {
z = this.F.toObject(this.F.one);
}
return [x, y, z];
}
fromObject(a) {
const x = this.F.fromObject(a[0]);
const y = this.F.fromObject(a[1]);
let z;
if (a.length==3) {
z = this.F.fromObject(a[2]);
} else {
z = this.F.one;
}
if (this.F.isZero(z, this.F.one)) {
return this.zeroAffine;
} else if (this.F.eq(z, this.F.one)) {
const buff = new Uint8Array(this.F.n8*2);
buff.set(x);
buff.set(y, this.F.n8);
return buff;
} else {
const buff = new Uint8Array(this.F.n8*3);
buff.set(x);
buff.set(y, this.F.n8);
buff.set(z, this.F.n8*2);
return buff;
}
}
e(a) {
if (a instanceof Uint8Array) return a;
return this.fromObject(a);
}
}
/* global WebAssembly */
function thread(self) {
let instance;
let memory;
let u32;
let u8;
if (self) {
self.onmessage = function(e) {
let data;
if (e.data) {
data = e.data;
} else {
data = e;
}
if (data[0].cmd == "INIT") {
init(data[0]).then(function() {
self.postMessage(data.result);
});
} else if (data[0].cmd == "TERMINATE") {
process.exit();
} else {
const res = runTask(data);
self.postMessage(res);
}
};
}
async function init(data) {
const code = new Uint8Array(data.code);
const wasmModule = await WebAssembly.compile(code);
memory = new WebAssembly.Memory({initial:data.init});
u32 = new Uint32Array(memory.buffer);
u8 = new Uint8Array(memory.buffer);
instance = await WebAssembly.instantiate(wasmModule, {
env: {
"memory": memory
}
});
}
function alloc(length) {
while (u32[0] & 3) u32[0]++; // Return always aligned pointers
const res = u32[0];
u32[0] += length;
while (u32[0] > memory.buffer.byteLength) {
memory.grow(100);
}
return res;
}
function allocBuffer(buffer) {
const p = alloc(buffer.byteLength);
setBuffer(p, buffer);
return p;
}
function getBuffer(pointer, length) {
return new Uint8Array(u8.buffer, u8.byteOffset + pointer, length);
}
function setBuffer(pointer, buffer) {
u8.set(new Uint8Array(buffer), pointer);
}
function runTask(task) {
if (task[0].cmd == "INIT") {
return init(task[0]);
}
const ctx = {
vars: [],
out: []
};
const oldAlloc = u32[0];
for (let i=0; i<task.length; i++) {
switch (task[i].cmd) {
case "ALLOCSET":
ctx.vars[task[i].var] = allocBuffer(task[i].buff);
break;
case "ALLOC":
ctx.vars[task[i].var] = alloc(task[i].len);
break;
case "SET":
setBuffer(ctx.vars[task[i].var], task[i].buff);
break;
case "CALL": {
const params = [];
for (let j=0; j<task[i].params.length; j++) {
const p = task[i].params[j];
if (typeof p.var !== "undefined") {
params.push(ctx.vars[p.var] + (p.offset || 0));
} else if (typeof p.val != "undefined") {
params.push(p.val);
}
}
instance.exports[task[i].fnName](...params);
break;
}
case "GET":
ctx.out[task[i].out] = getBuffer(ctx.vars[task[i].var], task[i].len).slice();
break;
default:
throw new Error("Invalid cmd");
}
}
u32[0] = oldAlloc;
return ctx.out;
}
return runTask;
}
/* global window, navigator, Blob, Worker, WebAssembly */
/*
Copyright 2019 0KIMS association.
This file is part of wasmsnark (Web Assembly zkSnark Prover).
wasmsnark is a free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
wasmsnark is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
License for more details.
You should have received a copy of the GNU General Public License
along with wasmsnark. If not, see <https://www.gnu.org/licenses/>.
*/
const MEM_SIZE = 4096; // Memory size in 64K Pakes (256Mb)
const inBrowser = (typeof window !== "undefined");
let NodeWorker;
if (!inBrowser) {
NodeWorker = NodeWorker_mod.Worker;
}
class Deferred {
constructor() {
this.promise = new Promise((resolve, reject)=> {
this.reject = reject;
this.resolve = resolve;
});
}
}
function sleep(ms) {
return new Promise(resolve => setTimeout(resolve, ms));
}
function base64ToArrayBuffer(base64) {
if (process.browser) {
var binary_string = window.atob(base64);
var len = binary_string.length;
var bytes = new Uint8Array(len);
for (var i = 0; i < len; i++) {
bytes[i] = binary_string.charCodeAt(i);
}
return bytes;
} else {
return new Uint8Array(Buffer.from(base64, "base64"));
}
}
async function buildThreadManager(wasm, singleThread) {
const tm = new ThreadManager();
tm.memory = new WebAssembly.Memory({initial:MEM_SIZE});
tm.u8 = new Uint8Array(tm.memory.buffer);
tm.u32 = new Uint32Array(tm.memory.buffer);
const wasmModule = await WebAssembly.compile(base64ToArrayBuffer(wasm.code));
tm.instance = await WebAssembly.instantiate(wasmModule, {
env: {
"memory": tm.memory
}
});
tm.singleThread = singleThread;
tm.initalPFree = tm.u32[0]; // Save the Pointer to free space.
tm.pq = wasm.pq;
tm.pr = wasm.pr;
tm.pG1gen = wasm.pG1gen;
tm.pG1zero = wasm.pG1zero;
tm.pG2gen = wasm.pG2gen;
tm.pG2zero = wasm.pG2zero;
tm.pOneT = wasm.pOneT;
// tm.pTmp0 = tm.alloc(curve.G2.F.n8*3);
// tm.pTmp1 = tm.alloc(curve.G2.F.n8*3);
if (singleThread) {
tm.code = base64ToArrayBuffer(wasm.code);
tm.taskManager = thread();
await tm.taskManager([{
cmd: "INIT",
init: MEM_SIZE,
code: tm.code.slice()
}]);
tm.concurrency = 1;
} else {
tm.workers = [];
tm.pendingDeferreds = [];
tm.working = [];
let concurrency;
if ((typeof(navigator) === "object") && navigator.hardwareConcurrency) {
concurrency = navigator.hardwareConcurrency;
} else {
concurrency = os.cpus().length;
}
tm.concurrency = concurrency;
for (let i = 0; i<concurrency; i++) {
if (inBrowser) {
const blob = new Blob(["(", thread.toString(), ")(self);"], { type: "text/javascript" });
const url = URL.createObjectURL(blob);
tm.workers[i] = new Worker(url);
tm.workers[i].onmessage = getOnMsg(i);
} else {
tm.workers[i] = new NodeWorker("(" + thread.toString()+ ")(require('worker_threads').parentPort);", {eval: true});
tm.workers[i].on("message", getOnMsg(i));
}
tm.working[i]=false;
}
const initPromises = [];
for (let i=0; i<tm.workers.length;i++) {
const copyCode = base64ToArrayBuffer(wasm.code).slice();
initPromises.push(tm.postAction(i, [{
cmd: "INIT",
init: MEM_SIZE,
code: copyCode
}], [copyCode.buffer]));
}
await Promise.all(initPromises);
}
return tm;
function getOnMsg(i) {
return function(e) {
let data;
if ((e)&&(e.data)) {
data = e.data;
} else {
data = e;
}
tm.working[i]=false;
tm.pendingDeferreds[i].resolve(data);
tm.processWorks();
};
}
}
class ThreadManager {
constructor() {
this.actionQueue = [];
this.oldPFree = 0;
}
startSyncOp() {
if (this.oldPFree != 0) throw new Error("Sync operation in progress");
this.oldPFree = this.u32[0];
}
endSyncOp() {
if (this.oldPFree == 0) throw new Error("No sync operation in progress");
this.u32[0] = this.oldPFree;
this.oldPFree = 0;
}
postAction(workerId, e, transfers, _deferred) {
if (this.working[workerId]) {
throw new Error("Posting a job t a working worker");
}
this.working[workerId] = true;
this.pendingDeferreds[workerId] = _deferred ? _deferred : new Deferred();
this.workers[workerId].postMessage(e, transfers);
return this.pendingDeferreds[workerId].promise;
}
processWorks() {
for (let i=0; (i<this.workers.length)&&(this.actionQueue.length > 0); i++) {
if (this.working[i] == false) {
const work = this.actionQueue.shift();
this.postAction(i, work.data, work.transfers, work.deferred);
}
}
}
queueAction(actionData, transfers) {
const d = new Deferred();
if (this.singleThread) {
const res = this.taskManager(actionData);
d.resolve(res);
} else {
this.actionQueue.push({
data: actionData,
transfers: transfers,
deferred: d
});
this.processWorks();
}
return d.promise;
}
resetMemory() {
this.u32[0] = this.initalPFree;
}
allocBuff(buff) {
const pointer = this.alloc(buff.byteLength);
this.setBuff(pointer, buff);
return pointer;
}
getBuff(pointer, length) {
return this.u8.slice(pointer, pointer+ length);
}
setBuff(pointer, buffer) {
this.u8.set(new Uint8Array(buffer), pointer);
}
alloc(length) {
while (this.u32[0] & 3) this.u32[0]++; // Return always aligned pointers
const res = this.u32[0];
this.u32[0] += length;
return res;
}
async terminate() {
for (let i=0; i<this.workers.length; i++) {
this.workers[i].postMessage([{cmd: "TERMINATE"}]);
}
await sleep(200);
}
}
function buildBatchApplyKey(curve, groupName) {
const G = curve[groupName];
const Fr = curve.Fr;
const tm = curve.tm;
curve[groupName].batchApplyKey = async function(buff, first, inc, inType, outType) {
inType = inType || "affine";
outType = outType || "affine";
let fnName, fnAffine;
let sGin, sGmid, sGout;
if (groupName == "G1") {
if (inType == "jacobian") {
sGin = G.F.n8*3;
fnName = "g1m_batchApplyKey";
} else {
sGin = G.F.n8*2;
fnName = "g1m_batchApplyKeyMixed";
}
sGmid = G.F.n8*3;
if (outType == "jacobian") {
sGout = G.F.n8*3;
} else {
fnAffine = "g1m_batchToAffine";
sGout = G.F.n8*2;
}
} else if (groupName == "G2") {
if (inType == "jacobian") {
sGin = G.F.n8*3;
fnName = "g2m_batchApplyKey";
} else {
sGin = G.F.n8*2;
fnName = "g2m_batchApplyKeyMixed";
}
sGmid = G.F.n8*3;
if (outType == "jacobian") {
sGout = G.F.n8*3;
} else {
fnAffine = "g2m_batchToAffine";
sGout = G.F.n8*2;
}
} else if (groupName == "Fr") {
fnName = "frm_batchApplyKey";
sGin = G.n8;
sGmid = G.n8;
sGout = G.n8;
} else {
throw new Error("Invalid group: " + groupName);
}
const nPoints = Math.floor(buff.byteLength / sGin);
const pointsPerChunk = Math.floor(nPoints/tm.concurrency);
const opPromises = [];
inc = Fr.e(inc);
let t = Fr.e(first);
for (let i=0; i<tm.concurrency; i++) {
let n;
if (i< tm.concurrency-1) {
n = pointsPerChunk;
} else {
n = nPoints - i*pointsPerChunk;
}
if (n==0) continue;
const task = [];
task.push({
cmd: "ALLOCSET",
var: 0,
buff: buff.slice(i*pointsPerChunk*sGin, i*pointsPerChunk*sGin + n*sGin)
});
task.push({cmd: "ALLOCSET", var: 1, buff: t});
task.push({cmd: "ALLOCSET", var: 2, buff: inc});
task.push({cmd: "ALLOC", var: 3, len: n*Math.max(sGmid, sGout)});
task.push({
cmd: "CALL",
fnName: fnName,
params: [
{var: 0},
{val: n},
{var: 1},
{var: 2},
{var:3}
]
});
if (fnAffine) {
task.push({
cmd: "CALL",
fnName: fnAffine,
params: [
{var: 3},
{val: n},
{var: 3},
]
});
}
task.push({cmd: "GET", out: 0, var: 3, len: n*sGout});
opPromises.push(tm.queueAction(task));
t = Fr.mul(t, Fr.exp(inc, n));
}
const result = await Promise.all(opPromises);
const outBuff = new Uint8Array(nPoints*sGout);
let p=0;
for (let i=0; i<result.length; i++) {
outBuff.set(result[i][0], p);
p += result[i][0].byteLength;
}
return outBuff;
};
}
function buildPairing(curve) {
const tm = curve.tm;
curve.pairing = function pairing(a, b) {
tm.startSyncOp();
const pA = tm.allocBuff(curve.G1.toJacobian(a));
const pB = tm.allocBuff(curve.G2.toJacobian(b));
const pRes = tm.alloc(curve.Gt.n8);
tm.instance.exports[curve.name + "_pairing"](pA, pB, pRes);
const res = tm.getBuff(pRes, curve.Gt.n8);
tm.endSyncOp();
return res;
};
curve.pairingEq = async function pairingEq() {
let buffCt;
let nEqs;
if ((arguments.length % 2) == 1) {
buffCt = arguments[arguments.length-1];
nEqs = (arguments.length -1) /2;
} else {
buffCt = curve.Gt.one;
nEqs = arguments.length /2;
}
const opPromises = [];
for (let i=0; i<nEqs; i++) {
const task = [];
const g1Buff = curve.G1.toJacobian(arguments[i*2]);
task.push({cmd: "ALLOCSET", var: 0, buff: g1Buff});
task.push({cmd: "ALLOC", var: 1, len: curve.prePSize});
const g2Buff = curve.G2.toJacobian(arguments[i*2 +1]);
task.push({cmd: "ALLOCSET", var: 2, buff: g2Buff});
task.push({cmd: "ALLOC", var: 3, len: curve.preQSize});
task.push({cmd: "ALLOC", var: 4, len: curve.Gt.n8});
task.push({cmd: "CALL", fnName: curve.name + "_prepareG1", params: [
{var: 0},
{var: 1}
]});
task.push({cmd: "CALL", fnName: curve.name + "_prepareG2", params: [
{var: 2},
{var: 3}
]});
task.push({cmd: "CALL", fnName: curve.name + "_millerLoop", params: [
{var: 1},
{var: 3},
{var: 4}
]});
task.push({cmd: "GET", out: 0, var: 4, len: curve.Gt.n8});
opPromises.push(
tm.queueAction(task)
);
}
const result = await Promise.all(opPromises);
tm.startSyncOp();
const pRes = tm.alloc(curve.Gt.n8);
tm.instance.exports.ftm_one(pRes);
for (let i=0; i<result.length; i++) {
const pMR = tm.allocBuff(result[i][0]);
tm.instance.exports.ftm_mul(pRes, pMR, pRes);
}
tm.instance.exports[curve.name + "_finalExponentiation"](pRes, pRes);
const pCt = tm.allocBuff(buffCt);
const r = !!tm.instance.exports.ftm_eq(pRes, pCt);
tm.endSyncOp();
return r;
};
curve.prepareG1 = function(p) {
this.tm.startSyncOp();
const pP = this.tm.allocBuff(p);
const pPrepP = this.tm.alloc(this.prePSize);
this.tm.instance.exports[this.name + "_prepareG1"](pP, pPrepP);
const res = this.tm.getBuff(pPrepP, this.prePSize);
this.tm.endSyncOp();
return res;
};
curve.prepareG2 = function(q) {
this.tm.startSyncOp();
const pQ = this.tm.allocBuff(q);
const pPrepQ = this.tm.alloc(this.preQSize);
this.tm.instance.exports[this.name + "_prepareG2"](pQ, pPrepQ);
const res = this.tm.getBuff(pPrepQ, this.preQSize);
this.tm.endSyncOp();
return res;
};
curve.millerLoop = function(preP, preQ) {
this.tm.startSyncOp();
const pPreP = this.tm.allocBuff(preP);
const pPreQ = this.tm.allocBuff(preQ);
const pRes = this.tm.alloc(this.Gt.n8);
this.tm.instance.exports[this.name + "_millerLoop"](pPreP, pPreQ, pRes);
const res = this.tm.getBuff(pRes, this.Gt.n8);
this.tm.endSyncOp();
return res;
};
curve.finalExponentiation = function(a) {
this.tm.startSyncOp();
const pA = this.tm.allocBuff(a);
const pRes = this.tm.alloc(this.Gt.n8);
this.tm.instance.exports[this.name + "_finalExponentiation"](pA, pRes);
const res = this.tm.getBuff(pRes, this.Gt.n8);
this.tm.endSyncOp();
return res;
};
}
const pTSizes = [
1 , 1, 1, 1, 2, 3, 4, 5,
6 , 7, 7, 8, 9, 10, 11, 12,
13, 13, 14, 15, 16, 16, 17, 17,
17, 17, 17, 17, 17, 17, 17, 17
];
function buildMultiexp(curve, groupName) {
const G = curve[groupName];
async function _multiExp(buffBases, buffScalars, inType) {
inType = inType || "affine";
let sGIn;
let fnName;
if (groupName == "G1") {
if (inType == "affine") {
fnName = "g1m_multiexpAffine_chunk";
sGIn = G.F.n8*2;
} else {
fnName = "g1m_multiexp_chunk";
sGIn = G.F.n8*3;
}
} else if (groupName == "G2") {
if (inType == "affine") {
fnName = "g2m_multiexpAffine_chunk";
sGIn = G.F.n8*2;
} else {
fnName = "g2m_multiexp_chunk";
sGIn = G.F.n8*3;
}
} else {
throw new Error("Invalid group");
}
const nPoints = Math.floor(buffBases.byteLength / sGIn);
const sScalar = Math.floor(buffScalars.byteLength / nPoints);
if( sScalar * nPoints != buffScalars.byteLength) {
throw new Error("Scalar size does not match");
}
const bitChunkSize = pTSizes[log2$1(nPoints)];
const nChunks = Math.floor((sScalar*8 - 1) / bitChunkSize) +1;
const opPromises = [];
for (let i=0; i<nChunks; i++) {
const task = [
{cmd: "ALLOCSET", var: 0, buff: buffBases},
{cmd: "ALLOCSET", var: 1, buff: buffScalars},
{cmd: "ALLOC", var: 2, len: G.F.n8*3},
{cmd: "CALL", fnName: fnName, params: [
{var: 0},
{var: 1},
{val: sScalar},
{val: nPoints},
{val: i*bitChunkSize},
{val: Math.min(sScalar*8 - i*bitChunkSize, bitChunkSize)},
{var: 2}
]},
{cmd: "GET", out: 0, var: 2, len: G.F.n8*3}
];
opPromises.push(
G.tm.queueAction(task)
);
}
const result = await Promise.all(opPromises);
let res = G.zero;
for (let i=result.length-1; i>=0; i--) {
if (!G.isZero(res)) {
for (let j=0; j<bitChunkSize; j++) res = G.double(res);
}
res = G.add(res, result[i][0]);
}
return res;
}
G.multiExp = async function multiExpAffine(buffBases, buffScalars) {
return await _multiExp(buffBases, buffScalars, "jacobian");
};
G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars) {
return await _multiExp(buffBases, buffScalars, "affine");
};
}
function buildFFT(curve, groupName) {
const G = curve[groupName];
const Fr = curve.Fr;
const tm = G.tm;
async function _fft(buff, inverse, inType, outType, logger) {
inType = inType || "affine";
outType = outType || "affine";
const MAX_BITS_THREAD = 12;
let sIn, sMid, sOut, fnIn2Mid, fnMid2Out, fnName, fnFFTMix, fnFFTJoin, fnFFTFinal;
if (groupName == "G1") {
if (inType == "affine") {
sIn = G.F.n8*2;
fnIn2Mid = "g1m_batchToJacobian";
} else {
sIn = G.F.n8*3;
}
sMid = G.F.n8*3;
if (inverse) {
fnName = "g1m_ifft";
fnFFTFinal = "g1m_fftFinal";
} else {
fnName = "g1m_fft";
}
fnFFTJoin = "g1m_fftJoin";
fnFFTMix = "g1m_fftMix";
if (outType == "affine") {
sOut = G.F.n8*2;
fnMid2Out = "g1m_batchToAffine";
} else {
sOut = G.F.n8*3;
}
} else if (groupName == "G2") {
if (inType == "affine") {
sIn = G.F.n8*2;
fnIn2Mid = "g2m_batchToJacobian";
} else {
sIn = G.F.n8*3;
}
sMid = G.F.n8*3;
if (inverse) {
fnName = "g2m_ifft";
fnFFTFinal = "g2m_fftFinal";
} else {
fnName = "g2m_fft";
}
fnFFTJoin = "g2m_fftJoin";
fnFFTMix = "g2m_fftMix";
if (outType == "affine") {
sOut = G.F.n8*2;
fnMid2Out = "g2m_batchToAffine";
} else {
sOut = G.F.n8*3;
}
} else if (groupName == "Fr") {
sIn = G.n8;
sMid = G.n8;
sOut = G.n8;
if (inverse) {
fnName = "frm_ifft";
fnFFTFinal = "frm_fftFinal";
} else {
fnName = "frm_fft";
}
fnFFTMix = "frm_fftMix";
fnFFTJoin = "frm_fftJoin";
}
let returnArray = false;
if (Array.isArray(buff)) {
buff = curve.array2buffer(buff, sIn);
returnArray = true;
}
const nPoints = buff.byteLength / sIn;
const bits = log2$1(nPoints);
if ((1 << bits) != nPoints) {
throw new Error("fft must be multiple of 2" );
}
let inv;
if (inverse) {
inv = Fr.inv(Fr.e(nPoints));
}
let buffOut;
if (nPoints <= (1 << MAX_BITS_THREAD)) {
const task = [];
task.push({cmd: "ALLOC", var: 0, len: sMid*nPoints});
task.push({cmd: "SET", var: 0, buff: buff});
if (fnIn2Mid) {
task.push({cmd: "CALL", fnName:fnIn2Mid, params: [{var:0}, {val: nPoints}, {var: 0}]});
}
task.push({cmd: "CALL", fnName:fnName, params: [{var:0}, {val: nPoints}]});
if (fnMid2Out) {
task.push({cmd: "CALL", fnName:fnMid2Out, params: [{var:0}, {val: nPoints}, {var: 0}]});
}
task.push({cmd: "GET", out: 0, var: 0, len: sOut*nPoints});
const res = await tm.queueAction(task);
buffOut = res[0];
} else {
buffReverseBits(buff, sIn);
let chunks;
const pointsInChunk = 1 << MAX_BITS_THREAD;
const chunkSize = pointsInChunk * sIn;
const nChunks = nPoints / pointsInChunk;
const promises = [];
for (let i = 0; i< nChunks; i++) {
const task = [];
task.push({cmd: "ALLOC", var: 0, len: sMid*pointsInChunk});
const buffChunk = buff.slice( (pointsInChunk * i)*sIn, (pointsInChunk * (i+1))*sIn);
task.push({cmd: "SET", var: 0, buff: buffChunk});
if (fnIn2Mid) {
task.push({cmd: "CALL", fnName:fnIn2Mid, params: [{var:0}, {val: pointsInChunk}, {var: 0}]});
}
for (let j=1; j<=MAX_BITS_THREAD;j++) {
task.push({cmd: "CALL", fnName:fnFFTMix, params: [{var:0}, {val: pointsInChunk}, {val: j}]});
}
task.push({cmd: "GET", out:0, var: 0, len: sMid*pointsInChunk});
promises.push(tm.queueAction(task).then( (r) => {
if (logger) logger.debug(`fft: ${i}/${nChunks}`);
return r;
}));
}
chunks = await Promise.all(promises);
for (let i = 0; i< nChunks; i++) chunks[i] = chunks[i][0];
for (let i = MAX_BITS_THREAD+1; i<=bits; i++) {
if (logger) logger.debug(`fft join ${i}/${bits}`);
const nGroups = 1 << (bits - i);
const nChunksPerGroup = nChunks / nGroups;
const opPromises = [];
for (let j=0; j<nGroups; j++) {
for (let k=0; k <nChunksPerGroup/2; k++) {
const first = Fr.exp( Fr.w[i], k*pointsInChunk);
const inc = Fr.w[i];
const o1 = j*nChunksPerGroup + k;
const o2 = j*nChunksPerGroup + k + nChunksPerGroup/2;
const task = [];
task.push({cmd: "ALLOCSET", var: 0, buff: chunks[o1]});
task.push({cmd: "ALLOCSET", var: 1, buff: chunks[o2]});
task.push({cmd: "ALLOCSET", var: 2, buff: first});
task.push({cmd: "ALLOCSET", var: 3, buff: inc});
task.push({cmd: "CALL", fnName: fnFFTJoin, params:[
{var: 0},
{var: 1},
{val: pointsInChunk},
{var: 2},
{var: 3}
]});
if (i==bits) {
if (fnFFTFinal) {
task.push({cmd: "ALLOCSET", var: 4, buff: inv});
task.push({cmd: "CALL", fnName: fnFFTFinal, params:[
{var: 0},
{val: pointsInChunk},
{var: 4},
]});
task.push({cmd: "CALL", fnName: fnFFTFinal, params:[
{var: 1},
{val: pointsInChunk},
{var: 4},
]});
}
if (fnMid2Out) {
task.push({cmd: "CALL", fnName:fnMid2Out, params: [{var:0}, {val: pointsInChunk}, {var: 0}]});
task.push({cmd: "CALL", fnName:fnMid2Out, params: [{var:1}, {val: pointsInChunk}, {var: 1}]});
}
task.push({cmd: "GET", out: 0, var: 0, len: pointsInChunk*sOut});
task.push({cmd: "GET", out: 1, var: 1, len: pointsInChunk*sOut});
} else {
task.push({cmd: "GET", out: 0, var: 0, len: pointsInChunk*sMid});
task.push({cmd: "GET", out: 1, var: 1, len: pointsInChunk*sMid});
}
opPromises.push(tm.queueAction(task));
}
}
const res = await Promise.all(opPromises);
for (let j=0; j<nGroups; j++) {
for (let k=0; k <nChunksPerGroup/2; k++) {
const o1 = j*nChunksPerGroup + k;
const o2 = j*nChunksPerGroup + k + nChunksPerGroup/2;
const resChunk = res.shift();
chunks[o1] = resChunk[0];
chunks[o2] = resChunk[1];
}
}
}
buffOut = new Uint8Array(nPoints * sOut);
if (inverse) {
buffOut.set(chunks[0].slice((pointsInChunk-1)*sOut));
let p= sOut;
for (let i=nChunks-1; i>0; i--) {
buffOut.set(chunks[i], p);
p += chunkSize;
delete chunks[i]; // Liberate mem
}
buffOut.set(chunks[0].slice(0, (pointsInChunk-1)*sOut), p);
delete chunks[nChunks-1];
} else {
for (let i=0; i<nChunks; i++) {
buffOut.set(chunks[i], pointsInChunk*sOut*i);
delete chunks[i];
}
return buffOut;
}
}
if (returnArray) {
return curve.buffer2array(buffOut, sOut);
} else {
return buffOut;
}
}
G.fft = async function(buff, inType, outType, logger) {
return await _fft(buff, false, inType, outType, logger);
};
G.ifft = async function(buff, inType, outType, logger) {
return await _fft(buff, true, inType, outType, logger);
};
G.fftMix = async function fftMix(buff) {
const sG = G.F.n8*3;
let fnName, fnFFTJoin;
if (groupName == "G1") {
fnName = "g1m_fftMix";
fnFFTJoin = "g1m_fftJoin";
} else if (groupName == "G2") {
fnName = "g2m_fftMix";
fnFFTJoin = "g2m_fftJoin";
} else if (groupName == "Fr") {
fnName = "frm_fftMix";
fnFFTJoin = "frm_fftJoin";
} else {
throw new Error("Invalid group");
}
const nPoints = Math.floor(buff.byteLength / sG);
const power = log2$1(nPoints);
let nChunks = 1 << log2$1(tm.concurrency);
if (nPoints <= nChunks*2) nChunks = 1;
const pointsPerChunk = nPoints / nChunks;
const powerChunk = log2$1(pointsPerChunk);
const opPromises = [];
for (let i=0; i<nChunks; i++) {
const task = [];
const b = buff.slice((i* pointsPerChunk)*sG, ((i+1)* pointsPerChunk)*sG);
task.push({cmd: "ALLOCSET", var: 0, buff: b});
for (let j=1; j<=powerChunk; j++) {
task.push({cmd: "CALL", fnName: fnName, params: [
{var: 0},
{val: pointsPerChunk},
{val: j}
]});
}
task.push({cmd: "GET", out: 0, var: 0, len: pointsPerChunk*sG});
opPromises.push(
tm.queueAction(task)
);
}
const result = await Promise.all(opPromises);
const chunks = [];
for (let i=0; i<result.length; i++) chunks[i] = result[i][0];
for (let i = powerChunk+1; i<=power; i++) {
const nGroups = 1 << (power - i);
const nChunksPerGroup = nChunks / nGroups;
const opPromises = [];
for (let j=0; j<nGroups; j++) {
for (let k=0; k <nChunksPerGroup/2; k++) {
const first = Fr.exp( Fr.w[i], k*pointsPerChunk);
const inc = Fr.w[i];
const o1 = j*nChunksPerGroup + k;
const o2 = j*nChunksPerGroup + k + nChunksPerGroup/2;
const task = [];
task.push({cmd: "ALLOCSET", var: 0, buff: chunks[o1]});
task.push({cmd: "ALLOCSET", var: 1, buff: chunks[o2]});
task.push({cmd: "ALLOCSET", var: 2, buff: first});
task.push({cmd: "ALLOCSET", var: 3, buff: inc});
task.push({cmd: "CALL", fnName: fnFFTJoin, params:[
{var: 0},
{var: 1},
{val: pointsPerChunk},
{var: 2},
{var: 3}
]});
task.push({cmd: "GET", out: 0, var: 0, len: pointsPerChunk*sG});
task.push({cmd: "GET", out: 1, var: 1, len: pointsPerChunk*sG});
opPromises.push(tm.queueAction(task));
}
}
const res = await Promise.all(opPromises);
for (let j=0; j<nGroups; j++) {
for (let k=0; k <nChunksPerGroup/2; k++) {
const o1 = j*nChunksPerGroup + k;
const o2 = j*nChunksPerGroup + k + nChunksPerGroup/2;
const resChunk = res.shift();
chunks[o1] = resChunk[0];
chunks[o2] = resChunk[1];
}
}
}
const fullBuffOut = new Uint8Array(nPoints*sG);
let p =0;
for (let i=0; i<nChunks; i++) {
fullBuffOut.set(chunks[i], p);
p+=chunks[i].byteLength;
}
return fullBuffOut;
};
G.fftJoin = async function fftJoin(buff1, buff2, first, inc) {
const sG = G.F.n8*3;
let fnName;
if (groupName == "G1") {
fnName = "g1m_fftJoin";
} else if (groupName == "G2") {
fnName = "g2m_fftJoin";
} else {
throw new Error("Invalid group");
}
if (buff1.byteLength != buff2.byteLength) {
throw new Error("Invalid buffer size");
}
const nPoints = Math.floor(buff1.byteLength / sG);
if (nPoints != 1 << log2$1(nPoints)) {
throw new Error("Invalid number of points");
}
let nChunks = 1 << log2$1(tm.concurrency);
if (nPoints <= nChunks*2) nChunks = 1;
const pointsPerChunk = nPoints / nChunks;
const opPromises = [];
for (let i=0; i<nChunks; i++) {
const task = [];
const firstChunk = Fr.mul(first, Fr.exp(inc, i*pointsPerChunk));
const b1 = buff1.slice((i* pointsPerChunk)*sG, ((i+1)* pointsPerChunk)*sG);
const b2 = buff2.slice((i* pointsPerChunk)*sG, ((i+1)* pointsPerChunk)*sG);
task.push({cmd: "ALLOCSET", var: 0, buff: b1});
task.push({cmd: "ALLOCSET", var: 1, buff: b2});
task.push({cmd: "ALLOCSET", var: 2, buff: firstChunk});
task.push({cmd: "ALLOCSET", var: 3, buff: inc});
task.push({cmd: "CALL", fnName: fnName, params: [
{var: 0},
{var: 1},
{val: pointsPerChunk},
{var: 2},
{var: 3}
]});
task.push({cmd: "GET", out: 0, var: 0, len: pointsPerChunk*sG});
task.push({cmd: "GET", out: 1, var: 1, len: pointsPerChunk*sG});
opPromises.push(
tm.queueAction(task)
);
}
const result = await Promise.all(opPromises);
const fullBuffOut1 = new Uint8Array(nPoints*sG);
const fullBuffOut2 = new Uint8Array(nPoints*sG);
let p =0;
for (let i=0; i<result.length; i++) {
fullBuffOut1.set(result[i][0], p);
fullBuffOut2.set(result[i][1], p);
p+=result[i][0].byteLength;
}
return [fullBuffOut1, fullBuffOut2];
};
G.fftFinal = async function fftFinal(buff, factor) {
const sG = G.F.n8*3;
const sGout = G.F.n8*2;
let fnName, fnToAffine;
if (groupName == "G1") {
fnName = "g1m_fftFinal";
fnToAffine = "g1m_batchToAffine";
} else if (groupName == "G2") {
fnName = "g2m_fftFinal";
fnToAffine = "g2m_batchToAffine";
} else {
throw new Error("Invalid group");
}
const nPoints = Math.floor(buff.byteLength / sG);
if (nPoints != 1 << log2$1(nPoints)) {
throw new Error("Invalid number of points");
}
const pointsPerChunk = Math.floor(nPoints / tm.concurrency);
const opPromises = [];
for (let i=0; i<tm.concurrency; i++) {
let n;
if (i< tm.concurrency-1) {
n = pointsPerChunk;
} else {
n = nPoints - i*pointsPerChunk;
}
if (n==0) continue;
const task = [];
const b = buff.slice((i* pointsPerChunk)*sG, (i*pointsPerChunk+n)*sG);
task.push({cmd: "ALLOCSET", var: 0, buff: b});
task.push({cmd: "ALLOCSET", var: 1, buff: factor});
task.push({cmd: "CALL", fnName: fnName, params: [
{var: 0},
{val: n},
{var: 1},
]});
task.push({cmd: "CALL", fnName: fnToAffine, params: [
{var: 0},
{val: n},
{var: 0},
]});
task.push({cmd: "GET", out: 0, var: 0, len: n*sGout});
opPromises.push(
tm.queueAction(task)
);
}
const result = await Promise.all(opPromises);
const fullBuffOut = new Uint8Array(nPoints*sGout);
let p =0;
for (let i=result.length-1; i>=0; i--) {
fullBuffOut.set(result[i][0], p);
p+=result[i][0].byteLength;
}
return fullBuffOut;
};
}
async function buildEngine(params) {
const tm = await buildThreadManager(params.wasm, params.singleThread);
const curve = {};
curve.q = e$2(params.wasm.q);
curve.r = e$2(params.wasm.r);
curve.name = params.name;
curve.tm = tm;
curve.prePSize = params.wasm.prePSize;
curve.preQSize = params.wasm.preQSize;
curve.Fr = new WasmField1(tm, "frm", params.n8r, params.r);
curve.F1 = new WasmField1(tm, "f1m", params.n8q, params.q);
curve.F2 = new WasmField2(tm, "f2m", curve.F1);
curve.G1 = new WasmCurve(tm, "g1m", curve.F1, params.wasm.pG1gen, params.wasm.pG1b, params.cofactorG1);
curve.G2 = new WasmCurve(tm, "g2m", curve.F2, params.wasm.pG2gen, params.wasm.pG2b, params.cofactorG2);
curve.F6 = new WasmField3(tm, "f6m", curve.F2);
curve.F12 = new WasmField2(tm, "ftm", curve.F6);
curve.Gt = curve.F12;
buildBatchApplyKey(curve, "G1");
buildBatchApplyKey(curve, "G2");
buildBatchApplyKey(curve, "Fr");
buildMultiexp(curve, "G1");
buildMultiexp(curve, "G2");
buildFFT(curve, "G1");
buildFFT(curve, "G2");
buildFFT(curve, "Fr");
buildPairing(curve);
curve.array2buffer = function(arr, sG) {
const buff = new Uint8Array(sG*arr.length);
for (let i=0; i<arr.length; i++) {
buff.set(arr[i], i*sG);
}
return buff;
};
curve.buffer2array = function(buff , sG) {
const n= buff.length / sG;
const arr = new Array(n);
for (let i=0; i<n; i++) {
arr[i] = buff.slice(i*sG, i*sG+sG);
}
return arr;
};
return curve;
}
let curve;
async function buildBn128() {
if (curve) return curve;
const params = {
name: "bn128",
wasm: wasmcurves.bn128_wasm,
q: e$2("21888242871839275222246405745257275088696311157297823662689037894645226208583"),
r: e$2("21888242871839275222246405745257275088548364400416034343698204186575808495617"),
n8q: 32,
n8r: 32,
cofactorG2: e$2("30644e72e131a029b85045b68181585e06ceecda572a2489345f2299c0f9fa8d", 16),
singleThread: false
};
curve = await buildEngine(params);
curve.terminate = async function() {
curve = null;
await this.tm.terminate();
};
return curve;
}
let curve$1;
async function buildBls12381() {
if (curve$1) return curve$1;
const params = {
name: "bls12381",
wasm: wasmcurves.bls12381_wasm,
q: e$2("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16),
r: e$2("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16),
n8q: 48,
n8r: 32,
cofactorG1: e$2("0x396c8c005555e1568c00aaab0000aaab", 16),
cofactorG2: e$2("0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5", 16),
singleThread: false
};
curve$1 = await buildEngine(params);
curve$1.terminate = async function() {
curve$1 = null;
await this.tm.terminate();
};
return curve$1;
}
const Scalar$1=_Scalar;
const utils$1 = _utils;
exports.ChaCha = ChaCha;
exports.EC = EC;
exports.F1Field = F1Field;
exports.F2Field = F2Field;
exports.F3Field = F3Field;
exports.PolField = PolField;
exports.Scalar = Scalar$1;
exports.ZqField = F1Field;
exports.buildBls12381 = buildBls12381;
exports.buildBn128 = buildBn128;
exports.utils = utils$1;