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stochastic-rs

Quantitative finance in Rust — a high-performance library for stochastic process simulation, option pricing, model calibration, volatility surfaces, fixed income, risk, statistics, copulas, and neural-network volatility surrogates. Generic over f32 / f64, with SIMD acceleration on CPU and CUDA / Metal / Accelerate / cubecl backends where they pay off, and first-class Python bindings via PyO3.

Documentation

📖 stochastic.rust-dd.com — full docs site (Fumadocs + Next.js, deployed on Vercel).

Highlights:

120+ stochastic processes — diffusion, jump, fractional / rough, short-rate, HJM, LMM, fBM, Hawkes, Lévy. Generic-precision ProcessExt<T> impl, SIMD on CPU, optional CUDA / Metal for FGN / fBM.
Pricing & calibration — closed-form (BSM, Bachelier, Black76, Bjerksund-Stensland, …), Fourier (Heston / Bates / Merton-jump / Kou / VG / CGMY / HKDE / double-Heston), Monte Carlo (basket, rainbow, cliquet, autocallable, spread), finite difference, Bermudan LSM, Heston SLV. Heston / SABR / SVJ / Lévy / rough Bergomi / double-Heston / Hull-White swaption-grid calibrators.
Statistics & risk — Hurst (Fukasawa), MLE for 1-D diffusions with 6 transition densities, ADF / KPSS / Phillips-Perron, realised variance with BNHLS bandwidth, HMM, changepoint, particle filter, UKF. VaR / CVaR / drawdown, Sharpe / Sortino / IR / Calmar.
Fixed income & credit — yield-curve bootstrapping, Nelson-Siegel / Svensson, multi-curve, IRS / inflation swaps, Vasicek / CIR / Hull-White / G2++ short-rate engines, Merton structural model, reduced-form survival curves, CDS pricing, JLT migration matrices.
Microstructure — Almgren-Chriss, Kyle (1985), Bouchaud propagator, full price-time priority order book.
Distributions & copulas — 19 SIMD distributions with closed-form pdf / cdf / cf / moments. Clayton / Frank / Gumbel / Independence bivariate; Gaussian / vine multivariate.
Python bindings — 210 entries (198 PyO3 classes + 12 functions) spanning every sub-crate except AI surrogates. Numpy-in / numpy-out.

Installation

Rust

[dependencies]
stochastic-rs = "2.5"

use stochastic_rs::prelude::*;
use stochastic_rs::stochastic::diffusion::gbm::Gbm;
use stochastic_rs::quant::pricing::heston::HestonPricer;

For per-sub-crate (lean) builds, OpenBLAS / CUDA / Metal / cubecl / Accelerate feature flags, native CPU optimisation, and SIMD details, see the installation guide on the docs site.

Python

pip install stochastic-rs

Source build (requires the Rust toolchain):

pip install maturin
maturin develop --release --manifest-path stochastic-rs-py/Cargo.toml

Linux (x86_64 / aarch64) and macOS (arm64 / x86_64) wheels ship with the openblas feature on. The Windows wheel omits the 15 BLAS-backed classes; everything else (≈195 classes / 12 functions) works identically. See the Python bindings page for the parity table and the source-build path with vcpkg.

Quickstart

use stochastic_rs::prelude::*;
use stochastic_rs::simd_rng::Unseeded;
use stochastic_rs::stochastic::diffusion::ou::Ou;
use stochastic_rs::quant::pricing::heston::HestonPricer;

fn main() {
    // Mean-reverting Ornstein-Uhlenbeck path: Ou::new(theta, mu, sigma, n, x0, t, seed)
    let ou = Ou::<f64>::new(2.0, 0.0, 1.0, 1_000, Some(0.0), Some(1.0), Unseeded);
    let path = ou.sample();
    println!("OU path points: {}", path.len());

    // Heston (1993) European option, closed form. HestonPricer::new args:
    // s, v0, k, r, q, rho, kappa, theta, sigma, lambda, tau, eval, expiration
    let pricer = HestonPricer::new(
        100.0, 0.04, 100.0, 0.03, Some(0.0),
        -0.5, 2.0, 0.04, 0.3, Some(0.0),
        Some(1.0), None, None,
    );
    let (call, put) = pricer.calculate_call_put();
    println!("call={call:.4}, put={put:.4}");
}

import stochastic_rs as srs

# Mean-reverting OU path
p = srs.Ou(theta=2.0, mu=0.0, sigma=1.0, n=1000, x0=0.0, t=1.0)
path = p.sample()                       # numpy.ndarray, shape (1000,)

# Heston European call
pricer = srs.HestonPricer(
    s0=100, k=100, tau=1.0, r=0.03, q=0.0,
    v0=0.04, kappa=2.0, theta=0.04, sigma=0.3, rho=-0.5,
)
print("call =", pricer.price("call"))
g = pricer.greeks("call")
print(f"delta={g.delta:.4f}, vega={g.vega:.4f}")

More end-to-end recipes (Heston calibration, fBM Hurst estimation, vol-surface from quotes, Python interop) live in the tutorials section.

Benchmarks

FGN — CPU vs CUDA native (`f32`, H = 0.7)

cargo bench --features cuda-native --bench fgn_cuda_native

Single path:

n	CPU `sample`	CUDA `.on(Device::CudaNative).sample()`	Speedup
1,024	8.1 µs	46 µs	0.18×
4,096	35 µs	84 µs	0.42×
16,384	147 µs	110 µs	1.3×
65,536	850 µs	227 µs	3.7×

Batch:

n, m	CPU `sample_par`	CUDA `.on(Device::CudaNative).sample_par`	Speedup
4,096, 32	147 µs	117 µs	1.3×
4,096, 512	1.78 ms	2.37 ms	0.75×
65,536, 128	12.6 ms	10.5 ms	1.2×
65,536, 1 k	102 ms	93 ms	1.1×

CUDA wins for large n (≥ 16 k); CPU rayon dominates for medium n because of the GPU launch / transfer overhead.

Distribution sampling — `Normal` vs upstream `rand_distr`

Single-thread fill_slice, median of 7 runs (cargo bench --bench dist_multicore). Comparison column:

rand_distr + SimdRng — rand_distr::Normal consuming our SimdRng (same uniform stream, only the Normal algorithm differs).
rand_distr + rand::rng() — the out-of-box upstream pipeline.

n	`SimdNormal` (µs)	`rand_distr + SimdRng` (µs)	speedup	`rand_distr + rand::rng()` (µs)	speedup
4	0.008	0.013	1.73×	0.032	4.22×
8	0.014	0.026	1.78×	0.065	4.52×
16	0.029	0.051	1.79×	0.128	4.47×
64	0.109	0.208	1.90×	0.508	4.64×
256	0.432	0.840	1.94×	2.029	4.70×
4 096	6.975	13.176	1.89×	32.382	4.64×
65 536	113.458	212.406	1.87×	520.219	4.59×

Single-sample speedup vs prior release

Criterion dist.sample(rng) loop, vs the wide 1.3.0 baseline (cargo bench --bench distributions -- --baseline before):

distribution	f32 / large	f64 / large	f64 / small
`Uniform/simd`	−57% (≈ 2.3×)	−77% (≈ 4.4×)	−58% (≈ 2.4×)
`Normal/simd`	−51% (≈ 2.0×)	−75% (≈ 4.0×)	−63% (≈ 2.7×)
`Exp/simd N=64`	−3% (n.s.)	−73% (≈ 3.7×)	—
`LogNormal/simd`	−71% (≈ 3.4×)	−70% (≈ 3.4×)	−66% (≈ 2.9×)

Driven by SIMD u64→f64 / u32→f32 magic-number conversion in SimdRng (direct-write fill_uniform_f64 / fill_uniform_f32 APIs that skip the [f64; 8] return-by-value round-trip), fused Exp(λ) scaling inside fill_exp_scaled, and an 8-at-a-time main loop in fill_ziggurat so copy_from_slice inlines to stp stores instead of a memcpy call.

Opt-in: dual-stream RNG (`dual-stream-rng` feature)

[dependencies]
stochastic-rs = { version = "2.1", features = ["dual-stream-rng"] }

Unlocks SimdRngDual (two parallel xoshiro engines) and SimdNormalDual (Ziggurat unrolled 2× over the dual streams). Measured against the single-stream SimdNormal::fill_slice on Apple Silicon (cargo bench --bench dual_stream_compare --features dual-stream-rng):

n	single (`SimdNormal`)	dual (`SimdNormalDual`)	Δ
64	111.6 ns	105.5 ns	−5.5%
256	444.8 ns	418.3 ns	−6.0%
4 096	7.43 µs	6.60 µs	−11.2%
65 536	113.9 µs	106.6 µs	−6.4%
1 048 576	1.83 ms	1.70 ms	−6.8%

The win comes from hiding the 16 scalar kn / wn table-lookup latencies behind the second engine's xoshiro state update on a modern out-of-order core. Uniform fills are not bottlenecked on the engine so they see no speedup. Trade-off: SimdRngDual::from_seed does not reproduce SimdRng::from_seed's bit-exact sequence (statistical properties are identical and KS-validated).

Contributing

Contributions are welcome — bug reports, feature suggestions, or PRs. Open an issue or start a discussion on GitHub. Per-feature recipes (add-diffusion-process, adding-distribution, calibration-pattern, docs-writing, …) live under .claude/skills/.

License

MIT — see LICENSE.

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stochastic-rs 2.5.4

stochastic-rs

Documentation

Installation

Rust

Python

Quickstart

Benchmarks

FGN — CPU vs CUDA native (f32, H = 0.7)

Distribution sampling — Normal vs upstream rand_distr

Single-sample speedup vs prior release

Opt-in: dual-stream RNG (dual-stream-rng feature)

Contributing

License

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FGN — CPU vs CUDA native (`f32`, H = 0.7)

Distribution sampling — `Normal` vs upstream `rand_distr`

Opt-in: dual-stream RNG (`dual-stream-rng` feature)

Algorithm	Hash digest
SHA256	`e196e7023e9a058c51548c3b2af4da0c6cc76d9b479deacf0310221b7c8801c1`
MD5	`1166924f2a60f47d746ef430d0e3e281`
BLAKE2b-256	`bc47906e3284d6ff0385129e5f6ecd9e41258b5170bbc5c7a70c1e7d97659f9f`

Algorithm	Hash digest
SHA256	`13d83d8c2785dcefa4487b425c4d651b30a8f3e215d9119edae2dc0973bda814`
MD5	`fdb6903e9e4817358ce1cca3e711bced`
BLAKE2b-256	`8d14321517d8c8f0a1cc97f9cd9e079e0656bf5122775841c86333ea63f85869`

Algorithm	Hash digest
SHA256	`aa597e8944d02e207b30332e9084e56a6feef37c565460297669d10a2a26377c`
MD5	`6470e8dba6970e3fade2e092e0f237dc`
BLAKE2b-256	`84577e4996851f32c44b7d0a6d6ca916570f690494d5e6927c80a248f3be04af`

Algorithm	Hash digest
SHA256	`61d847367016f34a68e3f7d9c6be6a9480427c0b2de4e8f74fa585481920f27c`
MD5	`92813fa5c76e9cb17b6f0739a06c8b62`
BLAKE2b-256	`0e29bcf0e6d91c1cff8b0f8b356dbb78553166400dceb25b172575f389ca0913`

Algorithm	Hash digest
SHA256	`f669b253ae7ab3503e68398e995a85e7bc4de3a922282c903f485c25dcc1b2cb`
MD5	`599c0378d984d02e6fc4824d93bf7210`
BLAKE2b-256	`15279fa8fcb07328d48abb3c261d5ef2ac208012b6f28ef592647202dc37689f`

Algorithm	Hash digest
SHA256	`91244032bce16189a4fc6a97ca1b11e79ef6948bd0f3e7615e5ae00687906ffd`
MD5	`a400c45c34302ffb0ddc780cfd303f0f`
BLAKE2b-256	`9b1c90755dfa5cf7a8e388359501a2f16f8eda8e0ad70cd652290ab34f48965f`

Algorithm	Hash digest
SHA256	`ab70726e597d7e686f98ad9ff77dfbbc262d8f7d50bb70c7e4e99799cb63858d`
MD5	`a45cb4ac4e8637e7b0530dfd257ca404`
BLAKE2b-256	`10110ea7ce4a5b0e481c2229cef519fc23db166ef8926deeafe49942de3ee356`

Algorithm	Hash digest
SHA256	`e13f88d90110dbb32752dad5f76932739f05c3b51875169f5a44ce2d38106c54`
MD5	`2f823bc91e35a28001d7dc25a2de859f`
BLAKE2b-256	`3e7af2c1f6f31a4e0f0b5fbad765b9aa844f458c5e736940f3fab4d6dd6e272d`

Algorithm	Hash digest
SHA256	`b10292aa1b3b77fd942101fdcb8acefb9579efa30681d90a235fb759a3a10a21`
MD5	`9dbbaeb49f03c143494e7b2dae8fc6b7`
BLAKE2b-256	`7f5eb371024de2a6627ae44c0a73017c4d1cc7cd68001c8aadabff1ab28b736b`