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Random number generation for AWS Trainium via NKI

Project description

trnrand

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Random number generation for AWS Trainium via NKI.

Seeded pseudo-random distributions, quasi-random sequences for quasi-Monte Carlo, and on-device Philox RNG targeting the GpSimd engine.

Part of the trnsci scientific computing suite (github.com/trnsci).

Install

pip install trnrand

# With Neuron hardware support
pip install trnrand[neuron]

Usage

import trnrand

# Seeded, reproducible generation
g = trnrand.Generator(seed=42)

# Standard distributions
x = trnrand.normal(1000, mean=0.0, std=1.0, generator=g)
u = trnrand.uniform(1000, low=-1.0, high=1.0, generator=g)
e = trnrand.exponential(1000, rate=2.0, generator=g)

# Quasi-random sequences (better convergence for MC integration)
sobol_pts = trnrand.sobol(1024, n_dims=5, seed=42)
halton_pts = trnrand.halton(1024, n_dims=3)
lhs_pts = trnrand.latin_hypercube(100, n_dims=4)

# Module-level seeding
trnrand.manual_seed(42)
x = trnrand.standard_normal(256)

Operations

Category Function Description
Distributions uniform U[low, high)
normal N(μ, σ²)
standard_normal N(0, 1)
exponential Exp(λ)
bernoulli Bernoulli(p)
randint Uniform integers [low, high)
randperm Random permutation
truncated_normal Bounded normal (rejection sampling)
Quasi-random sobol Sobol sequence (scrambled)
halton Halton sequence
latin_hypercube Latin Hypercube Sampling

MC vs QMC Example

python examples/mc_integration.py

Compares pseudo-random vs Sobol quasi-random for estimating the volume of a 5-D hypersphere. QMC converges O(1/N) vs O(1/√N).

Status

  • Seeded Generator with state management
  • Standard distributions (uniform, normal, exponential, Bernoulli, etc.)
  • Sobol, Halton, Latin Hypercube sequences
  • MC vs QMC integration example
  • NKI Philox kernel on GpSimd
  • On-device Box-Muller (uniform → normal)
  • Benchmarks vs cuRAND

Related Projects

Project What
trnfft FFT + complex ops
trnblas BLAS operations
trnsolver Linear solvers

License

Apache 2.0 — Copyright 2026 Scott Friedman

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