Hawkynt

XorShift+

XorShift+ is a fast pseudo-random number generator using XOR-shift operations with addition scrambling. Uses parameters (23, 17, 26) and complementary seed initialization for improved coverage of the state space.

Properties

Property	Value
Category	Random Number Generators
Sub-category	Deterministic PRNG
Security status	🎓 Educational Only
Complexity	Beginner
Inventor	George Marsaglia / Sebastiano Vigna
Year	2003
Origin	🇺🇸 United States
Source	algorithms/random/xorshift-plus.js

Parameters

Parameter	Supported values
Seed sizes	1 byte (8 bits) to 8 bytes (64 bits)

Capabilities

Flag	Value
IsDeterministic	Yes
IsCryptographicallySecure	No

Security

Status: 🎓 Educational Only

No vulnerabilities are recorded for this implementation.

Documentation

• Wikipedia: Xorshift
• Original Xorshift Paper (Marsaglia, 2003)
• Vigna’s Analysis of Xorshift Generators

References

• TestU01 Statistical Testing Suite
• Modern PRNG Alternatives (xoshiro/xoroshiro)

Test vectors

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

Vector 1 — Seed(1): First 5 outputs - verified against ported C# implementation

Field	Value
seed	0100000000000000
outputSize	40
input	null
expected	3e008000c0ffffff01100000c0ffffff ffef9ffeff4f00e0beff0fff3fc000c0 ce1fe4ff373000e0

Vector 2 — Seed(2): First 5 outputs

Field	Value
seed	0200000000000000
outputSize	40
input	null
expected	7d000001c0ffffff42108000c0ffffff ffdf1ffeff8f00e07dff5ffe3f4001c0 cd2fb8ff2f3000e0

Vector 3 — Seed(123456789): First 10 outputs

Field	Value
seed	15cd5b0700000000
outputSize	80
input	null
expected	d67917552752fcffef01a4542752fcff 2bd2ae106de2ad13dd22e59137e85b27 f133926903d03d4a82a4449b6cd1acf6 cb6bbf5808d507ab69126f885c380d9e e9fdb04d5ee0c0661eb3a02d6279eff6

Vector 4 — Seed(1000000): First 5 outputs - large seed value

Field	Value
seed	40420f0000000000
outputSize	40
input	null
expected	c64dc12361f8ffffcf355f2361f8ffff e0ffc3275e889130b5bfc4335d392361 faf73ecec1dea55f

Vector 5 — Seed(0xFFFFFFFFFFFFFFFF): First 5 outputs - maximum seed

Field	Value
seed	ffffffffffffffff
outputSize	40
input	null
expected	c2ff7f000000000041ff7f0100000000 beefff00004000007c00f00000800000 bd200c01f83f0000

---

← All algorithms

This site is open source. Improve this page.