Random number generator (seeded)

Generate random numbers from a seed: integers in a range, decimals, lottery-style draws without repeats and dice rolls, repeatable with xoshiro256**.

Güncellendi Doğrulanan örnekler: 6

Draw without replacement, like lottery numbers.
Same seed, same numbers. Change it for a new draw. A fresh unseeded draw from the browser's secure random source is not part of this calculation.
Dene
Sonuçlar
10, 13, 19, 87, 95, 37, 73, 40, 32, 34
Sonuçlar: 10, 13, 19, 87, 95, 37, 73, 40, 32, 34
Sum
440
Mean
44
Smallest
10
Largest
95

These 10 numbers come from seed “2026”: anyone using the same seed and settings gets exactly the same list, which makes draws auditable. Pseudorandom output like this is fine for games, sampling and simulations but not for passwords or cryptographic keys.

Each draw, in order

#1: 1010#1#2: 1313#2#3: 1919#3#4: 8787#4#5: 9595#5#6: 3737#6#7: 7373#7#8: 4040#8#9: 3232#9#10: 3434#10
Nasıl hesaplanır S
  1. Seed

    The seed 2026 is used directly as the 64-bit starting value.

  2. Generator state

    SplitMix64, started from the seed, fills the four 64-bit words of xoshiro256**, which then produces one 64-bit output per step.

  3. Map each output to the range without bias

    m=100,keep x<⌊264m⌋m,k=1+(x mod m)m = 100,\quad \text{keep } x < \left\lfloor \frac{2^{64}}{m} \right\rfloor m,\quad k = 1 + (x \bmod m)

    Rejecting the top sliver of outputs makes every value exactly equally likely. Results depend only on the seed; an unseeded mode using fresh entropy is not implemented in this calculation.

  4. Summary

    ∑=440,vˉ=44\sum = 440,\quad \bar v = 44

Random number generator (seeded) hakkında

Numbers come from xoshiro256**, a 64-bit pseudorandom generator by Blackman and Vigna with a period of 2²⁵⁶ − 1, whose starting state is filled from your seed by SplitMix64. Each 64-bit output x becomes min + (x mod m), where m is the number of possible values, after outputs from the top sliver of the 64-bit range are thrown away so that every value is exactly equally likely. Decimals are drawn as whole numbers of 10⁻ᵈ steps and divided back.

The default draws 10 integers from 1 to 100 with seed 2026: 10, 13, 19, 87, 95, 37, 73, 40, 32, 34. Anyone who enters the same seed and settings gets the same list, so raffle draws, classroom samples and simulations can be checked afterwards.

A seed-driven list is predictable to anyone who knows or guesses the seed, so it is unsuitable for passwords, encryption keys or prize draws where the seed is not published in advance.

Çözümlü örnekler

Ten integers 1–100, seed 2026 (defaults)

Generate
Integers
Kaynak
1
Hedef
100
How many
10
Seed
2026
Sonuçlar
10, 13, 19, 87, 95, 37, 73, 40, 32, 34
Sum
440
Smallest
10
Largest
95

Doğrulama kaynağı: Independent Python transcription of Vigna's splitmix64.c and xoshiro256starstar.c with the same rejection mapping (scratch script; its SplitMix64 matches the published seed-0 value 0xE220A8397B1DCDAF)

Lottery: 6 of 49, no repeats, sorted

Generate
Integers
Kaynak
1
Hedef
49
How many
6
No repeats
evet
Sort the results
evet
Seed
2026
Sonuçlar
11, 12, 18, 37, 40, 45
Sum
163

Doğrulama kaynağı: Same Python reference implementation

Five decimals in [0, 1] to 3 places

Generate
Decimals
Kaynak
0
Hedef
1
How many
5
Decimal places
3
Seed
2026
Sonuçlar
0.683, 0.143, 0.793, 0.253, 0.375
Sum
2.247

Doğrulama kaynağı: Same Python reference implementation (integer draw in [0, 1000], divided by 10³)

3d6 with a text seed

Generate
Dice rolls
Number of dice
3
Sides per die
6
Seed
hello
Sonuçlar
1, 6, 1
Sum
8

Doğrulama kaynağı: Python reference; the text seed hashes to FNV-1a 64 0xa430d84680aabd0b, the published FNV-1a hash of “hello”

Sorular

Are these random numbers truly random?

No, they are pseudorandom: a fixed calculation turns the seed into a sequence that looks random but repeats exactly for the same seed. That suits games, sampling and simulation. Passwords and keys need a cryptographically secure generator, such as the browser's crypto.getRandomValues or a deterministic random bit generator specified in NIST SP 800-90A, which an observer cannot predict from past outputs.

What does the seed do?

The seed sets the generator's starting state, so the same seed and settings always give the same numbers on any device. A whole-number seed from 0 to 18,446,744,073,709,551,615 (2⁶⁴ − 1) is used directly; any other text is hashed with 64-bit FNV-1a. For example, 3 six-sided dice with the seed hello always roll 1, 6, 1.

How do I draw lottery numbers without repeats?

Set the range to 1–49, How many to 6 and turn on No repeats; a duplicate is redrawn until 6 different numbers remain. Each of the C(49, 6) = 13,983,816 possible sets is equally likely, including 1, 2, 3, 4, 5, 6. Turn on Sort the results to list them in order, as lottery tickets do.

Why not just take the generator's output modulo the range?

Because the plain remainder favours some values whenever the range doesn't divide the number of possible outputs. A toy generator with 8 outputs (0–7) mapped to 3 values by x mod 3 gives remainders 0, 1, 2, 0, 1, 2, 0, 1, so two values get 3/8 and one gets 2/8. Rejecting outputs 6 and 7 makes each value exactly 1/3; this calculator applies the same rule to its 2⁶⁴ outputs.

“Random number generator (seeded)” ne kadar doğru sonuç verir?

Doğruluk, girdilerinize ve yöntemin varsayımlarına bağlıdır. Ondalık aritmetik 50 anlamlı basamak kullanır; ancak tahminler, sayısal yöntemler ve kaynak veriler daha az hassas olabilir. Gösterilen değerin yuvarlanması bu sınırları ortadan kaldırmaz. Bağımsız kaynaklarla doğrulanan çözümlü örnek sayısı: 6. Örneğin “Ten integers 1–100, seed 2026 (defaults)”, Independent Python transcription of Vigna's splitmix64.c and xoshiro256starstar.c with the same rejection mapping (scratch script; its SplitMix64 matches the published seed-0 value 0xE220A8397B1DCDAF) ile karşılaştırılarak doğrulanır.

Yöntemin kaynağı nedir?

Blackman & Vigna, Scrambled linear pseudorandom number generators (xoshiro256**), ACM TOMS 47(4), 2021; Steele, Lea & Flood, Fast splittable pseudorandom number generators (SplitMix64), OOPSLA 2014; Fowler–Noll–Vo hash, FNV-1a 64-bit parameters (IETF draft-eastlake-fnv).

Bu hesaplayıcı hakkında

v=min+(x mod m),m=max−min+1keeping only x<⌊264/m⌋m\begin{gathered} v = \text{min} + (x \bmod m),\quad m = \text{max} - \text{min} + 1 \\ \text{keeping only } x < \left\lfloor 2^{64}/m \right\rfloor m \end{gathered}

Kaynaklar

  1. Blackman & Vigna, Scrambled linear pseudorandom number generators (xoshiro256**), ACM TOMS 47(4), 2021
  2. Steele, Lea & Flood, Fast splittable pseudorandom number generators (SplitMix64), OOPSLA 2014
  3. Fowler–Noll–Vo hash, FNV-1a 64-bit parameters (IETF draft-eastlake-fnv)

Kaynaklarla doğrulandı

Bu hesaplayıcı, yanıtları bağımsız kaynaklardan alınan 6 çözümlü örnek içerir. Bunlar test paketinde çalıştırılır; burada da çalıştırabilirsiniz.

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