commit 87c866eaed7c8b15a3ac9359d88f06298482466f Author: Dimitri Lozeve Date: Mon Dec 7 19:26:38 2020 +0100 Initial commit diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..3f411f0 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +*\~ diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..b595e08 --- /dev/null +++ b/Makefile @@ -0,0 +1,5 @@ +img.png: img.pnm + pnmtopng $< > $@ + +img.pnm: grayscott.dyalog + dyalog -nokbd -script $< diff --git a/README.org b/README.org new file mode 100644 index 0000000..97f0f7a --- /dev/null +++ b/README.org @@ -0,0 +1,76 @@ +* Reaction-Diffusion Model + +Reaction-Diffusion system simulation using the Gray-Scott model, in [[https://www.dyalog.com/][Dyalog APL]]. + +#+begin_src + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ +⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ +⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ +⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ +⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ +⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ +⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺ +⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺⌺ ⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ +⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ +⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ ⌺ +⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ + ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ +#+end_src diff --git a/grayscott.dyalog b/grayscott.dyalog new file mode 100644 index 0000000..81f1b9d --- /dev/null +++ b/grayscott.dyalog @@ -0,0 +1,23 @@ + ⎕IO←0 + ⍝ Discrete Laplacian + lapl←(⊃(+/1 ¯1(⌽+⊖)¨⊂)-(⊂4∘×)) + ⍝ Gray-Scott update + diffa←{dt×(da×lapl ⍺)+(-⍺×⍵*2)+f×1-⍺} + diffb←{dt×(db×lapl ⍵)+(⍺×⍵*2)-⍵×k+f} + update←{⍵+(⊃⍵[0])((⊂diffa),(⊂diffb))⊃⍵[1]} + ⍝ Parameters + dt da db f k←1.0 0.16 0.08 0.060 0.062 + ⍝ Initialization + N←200 + A←0.8+0.2×?N N⍴0 + A[((N÷2)-10)+⍳20;((N÷2)-10)+⍳20]←0.5 + B←0.2×?N N⍴0 + B[((N÷2)-10)+⍳20;((N÷2)-10)+⍳20]←0.25 + ⍝ Run + steps←10000 + Ap Bp←(update⍣steps)A B + ⍝ ' ⌺'[Ap>0.5] + ⍝ Export to image file + mat2pbm←{'P1'(⍕⌽⍴⍵),⍕¨↓⍵>0.5} ⍝ black and white + mat2pgm←{'P2'(⍕⌽⍴⍵),(⊂'255'),⍕¨↓⌊255×⍵} ⍝ grayscale + (⊂mat2pbm Ap)⎕NPUT'img.pnm'1 diff --git a/img.png b/img.png new file mode 100644 index 0000000..1032b20 Binary files /dev/null and b/img.png differ diff --git a/img.pnm b/img.pnm new file mode 100644 index 0000000..0994e77 --- /dev/null +++ b/img.pnm @@ -0,0 +1,502 @@ +P1 +500 500 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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