Fast, deterministic integer permutations producing keyed, reversible bijections over ranges. Memory-efficient, invertible shuffles with cycle-walking, xor-shift-multiply mixing, seeded determinism, and full/unsigned domain support.
KPermute generates fast, deterministic, reversible integer permutations over arbitrary integer domains using bijective hash mixing.
Each seed defines a unique bijection over [0, size). The result behaves like
a keyed shuffle: repeatable, memory-efficient, and invertible.
Typical uses are obfuscating numeric IDs (such as user or session numbers), generating reproducible pseudo-random shuffles, collision-free sampling and load balancing, and masking non-sensitive identifiers. It is not a cryptographic primitive; if your use case is cryptographic, choose a real cipher.
implementation("com.eignex:kpermute:1.2.0")
Obfuscate a numeric ID reproducibly:
val idPerm = longPermutation(seed = 1L)
val longId = 49102490812045L
val encoded = idPerm.encode(longId)
println("encoded: $encoded (always prints 3631103739497407856)")
Shuffle a large list lazily:
val largeList = object : AbstractList<Int>() {
override val size: Int get() = .MAX_VALUE
= index
}
perm = intPermutation(largeList.size)
shuffled = largeList.permuted(perm)
println()
unshuffled = shuffled.unpermuted(perm)
println()
Permute a custom range, including negatives:
val rangePerm = intPermutation(-100..199)
println("encode(-50): ${rangePerm.encode(-50)}")
println("decode(...): ${rangePerm.decode(rangePerm.encode(-50))}")
Permute the full 32-bit domain:
val fullPerm = intPermutation(-1, seed = 1L)
println(fullPerm.encode(0)) // 1339315335
println(fullPerm.encode(1)) // -897806455
KPermute builds keyed, reversible permutations over integer domains using xor-shift-multiply mixers and cycle-walking. It never stores lookup tables, and every output decodes back to its original value.
A permutation is selected by its size. A positive size means a finite domain
[0, size). A size of -1 or -1L means the full 32- or 64-bit signed
domain. Other negative sizes select the unsigned variants via UIntPermutation
or ULongPermutation.
Range factories like intPermutation(range) and longPermutation(range) wrap
these with a range view, so you can permute directly on intervals such as
-100..199.
Each round multiplies by an odd constant, adds or xors a secret per-round key,
and applies xor-shift steps (x ^= x >>> s) to diffuse bits. Every step is
invertible via modular inverses and xor-shift inversion 1 3. For
non-power-of-two domains KPermute uses cycle-walking 1 2: permute in the
next power-of-two space and retry until the output falls in .
| Domain Type | Implementation | Description |
|---|
| Tiny (≤16) | Array[Int/Long]Permutation | Uses shuffled array and inverse |
| Finite | Half[Int/Long]Permutation | Uses cycle-walking |
| Full bit-width | Full[Int/Long]Permutation | No cycle-walking |
| Unsigned variants | U[Int/Long]Permutation | Modulo 2^32 or 2^64 |
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