From ae084f0d18714bbb1a8505d1724e422878b2b922 Mon Sep 17 00:00:00 2001 From: Vectornaut Date: Sun, 4 Feb 2024 23:46:59 +0000 Subject: [PATCH] Describe test suite --- Engine-prototype.md | 12 ++++++++++-- 1 file changed, 10 insertions(+), 2 deletions(-) diff --git a/Engine-prototype.md b/Engine-prototype.md index 9c8d1b1..23240c2 100644 --- a/Engine-prototype.md +++ b/Engine-prototype.md @@ -1,6 +1,14 @@ ## Basis optimization -The size of the Gröbner basis depends a lot on the variable order. So far, I've gotten the best performance with the degree › reverse lexicographic monomial order and the following variable order. +### Best order + +The size of the Gröbner basis depends a lot on the variable order. For the examples below, I've gotten the best performance with the degree › reverse lexicographic monomial order and the following variable order. * First, sort by coordinate: $r$, $s$, $x$, $y$, $z$ -* Within each coordinate, put spheres before points: $r_\text{s1}, r_\text{p1}, r_\text{p2}$ \ No newline at end of file +* Within each coordinate, put spheres before points: $r_\text{s1}, r_\text{p1}, r_\text{p2}$ + +### Test suite + +* One point on a sphere +* Two points on a sphere +* Three mutually tangent spheres \ No newline at end of file