particle_step — GFX2D particle op

Data kinds: tabletable

Call: import gfx2d; gfx2d.particle_step(state, dt, gravity=(0.0, 98.0), drag=0.0) (or opsgfx2d.get("particle_step"))

Usage

Advance a particle state by `dt` seconds. Returns a new dict.

Semi-implicit (symplectic) Euler::

v <- v + (g - drag*v) * dt

p <- p + v * dt

age <- age + dt

which makes the closed form exact and checkable: with `gravity=(0,0)` and

`drag=0 the position after k steps is p0 + v0*k*dt`, and with drag

the speed is `v0 * (1 - drag*dt)**k`. Both are compared as equalities in

the test suite.

`gravity is (gx, gy) in px/s^2, positive gy` pulling down the

screen. The input dict is never mutated.

Raises ValueError: `dt <= 0; drag * dt >= 1`, which is the point where

explicit drag stops decaying the speed and starts reversing it — an

instability that otherwise shows up as particles flying backwards rather

than as an error.

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

gfx2d_scenepy -3.11 examples/gfx2d_scene.py

Ops the type connects to (they accept table as input)

layer_stack · particle_render

Same category (particle)

particle_emit · particle_render


*Provenance: gfx2d.py — GFX2D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.