Module numerics 

Numerical support without physics: complex helpers, forward-mode jets, broadcasting, fallible allocation and the parallel policy. treams-rs extension.

Modules

broadcast 🔒

Elementwise evaluation over broadcast inputs, and its pullback. treams-rs extension.

jet 🔒

First-order forward-mode jets: a value with its derivatives along N directions, propagated through numerical kernels by local chain rules. N = 0 compiles out all derivative storage and arithmetic in forward evaluations. treams-rs extension.

memory 🔒

Allocations that return Error::OutOfMemory when the system refuses them, for outputs and workspaces that grow with the problem. treams-rs extension.

parallel 🔒

Serial or Rayon-parallel evaluation of independent items. treams-rs extension.

Constants

EULER 🔒

The Euler-Mascheroni constant.

Functions

complex_sqrt 🔒

The principal square root of z, equal to z.sqrt() up to rounding.

finite 🔒

Whether both parts of z are finite.

label_bits 🔒

The bits of a real mode label, such as an axial wavenumber, as an exact hash key. Adding zero turns -0.0 into +0.0, so the two zeros, which compare equal, share a key.

parity 🔒

(-1)^n as a float, for the sign factors of degrees and orders.

ratio 🔒

numerator / denominator without overflow or underflow in the denominator’s square.