From 7697adcc689ee7f6408a8fd3540535062f30cdcb Mon Sep 17 00:00:00 2001
From: lisyarus <lisyarus@gmail.com>
Date: Sun, 13 Sep 2020 10:35:16 +0300
Subject: [PATCH] Add volume & normal of a simplex

---
 libs/geom/include/psemek/geom/point.hpp | 12 ++++++++++++
 1 file changed, 12 insertions(+)

diff --git a/libs/geom/include/psemek/geom/point.hpp b/libs/geom/include/psemek/geom/point.hpp
index 8771e0c3..a5308890 100644
--- a/libs/geom/include/psemek/geom/point.hpp
+++ b/libs/geom/include/psemek/geom/point.hpp
@@ -160,6 +160,18 @@ namespace psemek::geom
 		return length(p2 - p1);
 	}
 
+	template <typename P, typename ... Points>
+	auto volume(P const & p0, Points const & ... ps)
+	{
+		return det((ps - p0)...);
+	}
+
+	template <typename P, typename ... Points>
+	auto normal(P const & p0, Points const & ... ps)
+	{
+		return normalized(ort((ps - p0)...));
+	}
+
 	template <typename Stream, typename T, std::size_t N>
 	Stream & operator << (Stream & os, point<T, N> const & p)
 	{