JavaScript uses IEEE-754 double-precision floats for Number. That means integer values are exactly represented only up to 2^53-1 (Number.MAX_SAFE_INTEGER). Languages with fixed‑width integers (e.g., 32/64-bit signed/unsigned) use two’s complement and wrap on overflow — deterministic bit patterns and semantics critical for crypto, hashing, binary protocols.Consequences for crypto/hashing/binary protocols:- Values >= 2^53 lose integer precision, corrupting counters, nonces, offsets, or large integers.- Bitwise operators in JS coerce operands to 32‑bit signed integers, so they implicitly truncate and sign‑extend — unexpected for 64‑bit protocols.- No automatic modular wrap like uint32/uint64: arithmetic on Number doesn’t model two’s‑complement overflow behavior.- Subtle bugs: incorrect endianness conversions, broken hashes, or signature verification failures.Defensive strategies1) Use BigInt for integer correctness (arbitrary integer precision, predictable two’s‑complement-like operations when you implement masking).Example: 64‑bit arithmetic and modular maskingjavascript
// 64-bit unsigned add modulo 2^64
function add64(a, b) {
const MASK64 = (1n << 64n) - 1n;
return (BigInt(a) + BigInt(b)) & MASK64;
}
2) Use Buffer/TypedArray + manual carry for low-level binary math (explicit byte operations avoid float rounding):javascript
// add two 64-bit little-endian buffers into out
function add64LE(aBuf, bBuf) {
const out = Buffer.alloc(8);
let carry = 0;
for (let i = 0; i < 8; i++) {
const s = aBuf[i] + bBuf[i] + carry;
out[i] = s & 0xff;
carry = s >>> 8;
}
return out;
}
3) Use BigInt or specialized libs for crypto math: bn.js, big-integer, long (for 64-bit), or libs that implement constant-time ops.4) Avoid Number for counters, offsets, or protocol integers >= 2^31; validate ranges (throw if > MAX_SAFE_INTEGER).5) For hashing/signature primitives use vetted libraries (crypto, libsodium) — let native code handle bit-precise operations.6) When interoperating with fixed-width types, explicitly mask and document endianness and signedness. Prefer DataView for reading/writing integers:javascript
const dv = new DataView(buf.buffer, buf.byteOffset);
dv.setBigUint64(0, 123n, true); // little-endian
7) Testing and fuzzing: unit tests for boundary values (2^53-1, 2^32-1, carry boundaries), and property tests to match reference implementations.Summary: Treat Number as a floating‑point convenience, not a substitute for fixed-width integer semantics. Use BigInt, explicit Buffer/TypedArray arithmetic, and trusted native crypto libraries to avoid precision and overflow bugs.