Perturb Numbers - Change Numbers Slightly

A perturbed number is a number with a small, controlled nudge. Instead of rewriting digits, perturbation adds a fresh random delta to the whole value: the original 5000 with a max delta of 3 might come back as 5003, 4998 or 5000 itself, always recognizable but never identical. It is the arithmetic cousin of jitter in signals, tolerance in engineering and rounding error in measurement - a way to produce close variation around a known centre.

Perturb Numbers takes up to 1000 input numbers and, for each one, produces a chosen count of perturbed copies. Three direction modes - add, subtract or both - decide whether values grow, shrink or wander, and a maximum delta caps the size of every jump. The arithmetic is BigInt-exact at any magnitude, so nothing ever rounds. Each result line shows the copy and the delta used to make it, and the whole batch copies or downloads as text. Everything runs locally in the browser - no uploads, no storage, no logs.

• Three directions: Add, subtract, or a two-sided random jitter.
• Max delta control: Cap every jump at whatever bound you choose.
• Variable copies: Spawn 1 to 20 perturbed versions per input line.
• BigInt exact: Hundred-digit numbers perturb with zero rounding.
• Fresh randomness: Every run draws new deltas for new variants.
• Delta labelling: Each result shows the shift applied to make it.
• Batch mode: Up to 1000 inputs in a single run.
• Free and private: Everything runs in the browser; nothing is uploaded or logged.

1. Enter your numbers - one per line, integers with an optional sign, any length.
2. Pick a direction - add, subtract, or both (symmetric jitter).
3. Set the max delta - the upper bound of the random jump.
4. Choose copies per line - how many perturbed variants each input spawns.
5. Generate and read - each result line shows the new value and its delta.
6. Copy or download - the full batch is yours.

1 - Symmetric jitter. Perturb 1000 with both-direction and max delta 5: results such as 1003, 996 and 1001 cluster tightly around the original, exactly like measurement noise around a reading.

2 - Monotone increase. With add direction and max delta 10, 250 can only grows: 257, 251, 250-ish copies - never below the start. Ideal for values that must move one way only.

3 - Decrease for aging data. Subtract direction over 2024 with max delta 4 shrinks the year by 1 to 4 in each copy - a simple model of values losing ground each round.

4 - Multiple copies. Set copies per line to 5 on a single input and receive five distinct close variants in one run - a ready-made mini dataset.

5 - Huge values. Perturb a forty-digit number with max delta 10: BigInt keeps the copy exact at every digit, with no rounding anywhere in sight.

• Controlled noise: The delta bound is always under your control.
• Direction on demand: Grow, shrink or wander as the task needs.
• Variant factory: Many copies per input in one pass.
• Exact at any size: BigInt arithmetic never rounds a digit.
• Transparent deltas: Every copy names the shift that made it.
• Private and free: Everything runs in the browser; nothing is uploaded or logged.