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@toruslabs/ffjavascript

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Finite Field Library in Javascript

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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) { const str = typeof s === "string" ? s : s.toString(); if (str.slice(0, 2) == "0x") { return BigInt(str); } else { return BigInt("0x" + str); } } } const e = fromString; function fromArray(a, radix) { let acc = BigInt(0); const r = BigInt(radix); for (let i = 0; i < a.length; i++) { acc = acc * r + 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) < BigInt(0); } 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) & BigInt(1)) == BigInt(1); } function naf(n) { let E = BigInt(n); const res = []; while (E) { if (E & BigInt(1)) { const z = 2 - Number(E % BigInt(4)); res.push(z); E = E - BigInt(z); } else { res.push(0); } E = E >> BigInt(1); } return res; } function bits(n) { let E = BigInt(n); const res = []; while (E) { if (E & BigInt(1)) { res.push(1); } else { res.push(0); } E = E >> BigInt(1); } 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); const r = BigInt(radix); while (rem) { res.unshift(Number(rem % r)); rem = rem / r; } 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); } // Returns a buffer with Little Endian Representation function toRprLE(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] = toNumber(band(shiftRight(e, i * 8), 0xff)); } // Returns a buffer with Big Endian Representation function toRprBE(buff, o, e, n8) { const s = "0000000" + e.toString(16); const v = new DataView(buff.buffer, buff.byteOffset + 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.setUint32(i * 4, 0, false); } // Parses a buffer with Little Endian Representation function fromRprLE(buff, o, n8) { n8 = n8 || buff.byteLength; o = o || 0; 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 fromString(a.join(""), 16); } // Parses a buffer with Big Endian Representation function fromRprBE(buff, o, n8) { n8 = n8 || buff.byteLength; o = o || 0; const v = new DataView(buff.buffer, buff.byteOffset + 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 fromString(a.join(""), 16); } function toString(a, radix) { return a.toString(radix); } function toLEBuff(a) { const buff = new Uint8Array(Math.floor((bitLength(a) - 1) / 8) + 1); toRprLE(buff, 0, a, buff.byteLength); return buff; } const zero = e(0); const one = e(1); export { abs, add, band, bitLength, bits, bor, bxor, div, e, eq, exp, fromArray, fromRprBE, fromRprLE, fromString, geq, gt, isNegative, isOdd, isZero, land, leq, lnot, lor, lt, mod, mul, naf, neg, neq, one, pow, shiftLeft, shiftRight, shl, shr, square, sub, toArray, toLEBuff, toNumber, toRprBE, toRprLE, toString, zero };