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RANLUX48

C++ standard library’s highest-quality luxury PRNG using 48-bit subtract-with-borrow with luxury level 4. Designed for Monte Carlo simulations requiring provably decorrelated sequences with superior statistical quality.

Properties

Property	Value
Category	Random Number Generators
Sub-category	Pseudo-Random Number Generator
Security status	🎓 Educational Only
Complexity	Advanced
Inventor	Martin Lüscher
Year	1994
Origin	🇨🇭 Switzerland
Source	algorithms/random/ranlux48.js

Parameters

Parameter	Supported values
Seed sizes	4 bytes (32 bits)

Capabilities

Flag	Value
IsDeterministic	Yes
IsCryptographicallySecure	No

Security

Status: 🎓 Educational Only

No vulnerabilities are recorded for this implementation.

Documentation

• Original Paper: M. Lüscher (Computer Physics Communications 1994)
• C++ Reference: std::ranlux48
• C++ Reference: std::subtract_with_carry_engine
• Martin Lüscher’s RANLUX Page

References

• OEIS A221562: ranlux48 Sequence
• OEIS A221560: ranlux48_base Sequence
• LLVM libc++ Test Vector

Test vectors

4 vectors ship with this algorithm and run in the test suite. Byte values are hexadecimal.

Vector 1 — RANLUX48 with default seed 19780503, first 5 outputs (OEIS A221562)

Field	Value
seed	97d32d01
outputSize	30
input	null
expected	2c7be5fc5515dff2d90c0c1afa090149cafb070b4b391e77bce7833bb94c

Vector 2 — RANLUX48 default seed, outputs 6-10 (OEIS A221562)

Field	Value
seed	97d32d01
skipBytes	30
outputSize	30
input	null
expected	e1c334e74fbd22d580d867419b9834038fdc244b4dd2dfe9271d96c95532

Vector 3 — RANLUX48 default seed, 10000th value (LLVM libc++ test)

Field	Value
seed	97d32d01
skipBytes	59994
outputSize	6
input	null
expected	35ca5b0c98e2

Vector 4 — RANLUX48 default seed, values 11-12 (OEIS A221562)

Field	Value
seed	97d32d01
skipBytes	60
outputSize	12
input	null
expected	f533f47cfcfeecc7ec43f0f4

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