From 6a016734cff917433faea482d9622a0500a3052f Mon Sep 17 00:00:00 2001 From: Daniel VandenHeuvel <95613936+DanielVandH@users.noreply.github.com> Date: Fri, 19 Jul 2024 16:00:48 +0100 Subject: [PATCH] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 8600762..588c854 100644 --- a/README.md +++ b/README.md @@ -8,7 +8,7 @@ The package provides four predicates. In the functions below, all the inputs sho - `orient2(pa, pb, pc)`: Given three points `pa`, `pb`, and `pc` in two dimensions, returns a positive value if the points are in counter-clockwise order; a negative value if they occur in clockwise order; and zero if they are collinear. Equivalently, returns a positive value if `pc` is left of the oriented line from `pa` to `pb`; a negative value if `pc` is right of this line; and zero if they are collinear. - `orient3(pa, pb, pc, pd)`: Given four points `pa`, `pb`, `pc`, and `pd` in three dimensions, define the oriented plane on which the triangle `(pa, pb, pc)` is positively oriented. Returns a positive value if `pd` is below this plane; a negative value if `pd` is above this plane; and zero if the points are coplanar. - `incircle(pa, pb, pc, pd)`: Given four points `pa`, `pb`, `pc`, and `pd` in two dimensions, returns a positive value if `pd` is inside the circle through `pa`, `pb`, and `pc`; a negative value if `pd` is outside this circle; and zero if `pd` is on the circle. -- `insphere(pa, pb, pc, pd, pe)`: Given five points `pa`, `pb`, `pc`, `pd`, and `pe` in three dimensions, returns a positive value if `pe` inside on the sphere through `pa`, `pb`, `pc`, and `pd`; a negative value if `pe` is outside this sphere; and zero if `pe` is on the sphere. +- `insphere(pa, pb, pc, pd, pe)`: Given five points `pa`, `pb`, `pc`, `pd`, and `pe` in three dimensions, returns a positive value if `pe` inside of the sphere through `pa`, `pb`, `pc`, and `pd`; a negative value if `pe` is outside this sphere; and zero if `pe` is on the sphere. We also define the functions `orient2p`, `orient3p`, `incirclep`, and `inspherep` which simply return the sign of the corresponding predicate. For example, ```julia-repl