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Chelis docs

Full API reference

The full API surface for all Nautilus modules is maintained in SKILL.md, Section 6.

That section contains signature tables for the active Nautilus surface, arranged module by module. The current row counts below sum to the shipped library surface plus the seven Nautilus.Signal stubs and the Nautilus.Core.version metadata helper.

  • Nautilus.Special: 21 special functions (erf, erfc, gamma, Bessel, Airy, elliptic integrals)
  • Nautilus.Distributions: 38 exports across 12 distribution families
  • Nautilus.LinAlg: 29 linear algebra operations (fixed-size and general-n)
  • Nautilus.Stats: 14 descriptive statistics
  • Nautilus.Testing: 13 hypothesis-test helpers
  • Nautilus.Integrate: 8 quadrature methods
  • Nautilus.Distance: 8 distance metrics
  • Nautilus.Ode: 5 ODE solvers including an adaptive RK45 endpoint solver
  • Nautilus.Optim: 4 scalar optimizers
  • Nautilus.Roots: 3 root-finders
  • Nautilus.Interpolation: 3 interpolation methods
  • Nautilus.Sde: 2 stochastic ODE integrators
  • Nautilus.CurveFit: 2 Levenberg-Marquardt fitters
  • Nautilus.Signal: 7 stubs (blocked on complex numbers)

Each table in SKILL.md includes the function name, full type signature, row-level stability label, and implementation notes (domain restrictions, precision, effect annotations). The same row-level surface is emitted in machine-readable form at dist/stability.json.

For usage patterns and worked examples, see the module-specific chapters in this book and the 15 patterns in SKILL.md Section 3.