Make point comparison more stable in case of roundoff

diff --git a/tests/grid/extrude_copy_manifold.cc b/tests/grid/extrude_copy_manifold.cc
index 979b2ee40b68a02a190f87da094c480dd80aca15..1f350874f093dd1c790ae1b35f74b7c08c28c672 100644 (file)
--- a/tests/grid/extrude_copy_manifold.cc
+++ b/tests/grid/extrude_copy_manifold.cc
@@ -87,9 +87,10 @@ test()
   // The generated arrays of face and line centers contain duplicates: get rid
   // of them by sorting and then std::unique-ing
   auto point_comparator = [](const Point<3> &a, const Point<3> &b) {
-    // just use std::tuple's lexical ordering so that we don't have to think
-    // too hard
-    return std::tie(a[0], a[1], a[2]) < std::tie(b[0], b[1], b[2]);
+    // to minimize roundoff problems, align numbers in some lexicographic-like
+    // order
+    return 1e-10 * a[0] + 1e-5 * a[1] + a[2] <
+           1e-10 * b[0] + 1e-5 * b[1] + b[2];
   };
 
   deallog << "face centers:" << std::endl;

diff --git a/tests/grid/extrude_copy_manifold.output b/tests/grid/extrude_copy_manifold.output
index d7bf109c6cf72f235834af8f3de9399617e7e3a9..1482682f74902221615de91db13ec25b51a1552d 100644 (file)
--- a/tests/grid/extrude_copy_manifold.output
+++ b/tests/grid/extrude_copy_manifold.output
@@ -85,605 +85,605 @@ DEAL::0.146447, 0.146447, 0.875000
 DEAL::
 DEAL::face centers:
 DEAL::manifold id: 0
+DEAL::-0.353553, -0.853553, 0.125000
+DEAL::0.353553, -0.853553, 0.125000
 DEAL::-0.853553, -0.353553, 0.125000
-DEAL::-0.853553, -0.353553, 0.375000
-DEAL::-0.853553, -0.353553, 0.625000
-DEAL::-0.853553, -0.353553, 0.875000
+DEAL::0.853553, -0.353553, 0.125000
 DEAL::-0.853553, 0.353553, 0.125000
-DEAL::-0.853553, 0.353553, 0.375000
-DEAL::-0.853553, 0.353553, 0.625000
-DEAL::-0.853553, 0.353553, 0.875000
-DEAL::-0.353553, -0.853553, 0.125000
-DEAL::-0.353553, -0.853553, 0.625000
-DEAL::-0.353553, -0.853553, 0.375000
-DEAL::-0.353553, -0.853553, 0.875000
-DEAL::-0.353553, 0.853553, 0.375000
-DEAL::-0.353553, 0.853553, 0.875000
+DEAL::0.853553, 0.353553, 0.125000
 DEAL::-0.353553, 0.853553, 0.125000
-DEAL::-0.353553, 0.853553, 0.625000
-DEAL::0.353553, -0.853553, 0.125000
-DEAL::0.353553, -0.853553, 0.625000
-DEAL::0.353553, -0.853553, 0.375000
-DEAL::0.353553, -0.853553, 0.875000
 DEAL::0.353553, 0.853553, 0.125000
-DEAL::0.353553, 0.853553, 0.375000
-DEAL::0.353553, 0.853553, 0.625000
-DEAL::0.353553, 0.853553, 0.875000
+DEAL::-0.353553, -0.853553, 0.375000
+DEAL::0.353553, -0.853553, 0.375000
+DEAL::-0.853553, -0.353553, 0.375000
 DEAL::0.853553, -0.353553, 0.375000
-DEAL::0.853553, -0.353553, 0.875000
-DEAL::0.853553, -0.353553, 0.125000
-DEAL::0.853553, -0.353553, 0.625000
-DEAL::0.853553, 0.353553, 0.125000
+DEAL::-0.853553, 0.353553, 0.375000
 DEAL::0.853553, 0.353553, 0.375000
+DEAL::-0.353553, 0.853553, 0.375000
+DEAL::0.353553, 0.853553, 0.375000
+DEAL::-0.353553, -0.853553, 0.625000
+DEAL::0.353553, -0.853553, 0.625000
+DEAL::-0.853553, -0.353553, 0.625000
+DEAL::0.853553, -0.353553, 0.625000
+DEAL::-0.853553, 0.353553, 0.625000
 DEAL::0.853553, 0.353553, 0.625000
+DEAL::-0.353553, 0.853553, 0.625000
+DEAL::0.353553, 0.853553, 0.625000
+DEAL::-0.353553, -0.853553, 0.875000
+DEAL::0.353553, -0.853553, 0.875000
+DEAL::-0.853553, -0.353553, 0.875000
+DEAL::0.853553, -0.353553, 0.875000
+DEAL::-0.853553, 0.353553, 0.875000
 DEAL::0.853553, 0.353553, 0.875000
+DEAL::-0.353553, 0.853553, 0.875000
+DEAL::0.353553, 0.853553, 0.875000
 DEAL::manifold id: 1
-DEAL::-0.823223, 1.66533e-16, 0.125000
-DEAL::-0.823223, 1.66533e-16, 0.625000
-DEAL::-0.823223, 1.66533e-16, 0.375000
-DEAL::-0.823223, 1.66533e-16, 0.875000
-DEAL::-0.713388, 0.301777, 0.00000
-DEAL::-0.713388, 0.301777, 0.500000
-DEAL::-0.713388, 0.301777, 1.00000
+DEAL::-0.301777, -0.713388, 0.00000
+DEAL::0.301777, -0.713388, 0.00000
+DEAL::-0.198223, -0.433058, 0.00000
+DEAL::0.198223, -0.433058, 0.00000
 DEAL::-0.713388, -0.301777, 0.00000
-DEAL::-0.713388, -0.301777, 0.250000
-DEAL::-0.713388, -0.301777, 0.500000
-DEAL::-0.713388, -0.301777, 0.750000
-DEAL::-0.713388, -0.301777, 1.00000
-DEAL::-0.713388, 0.301777, 0.250000
-DEAL::-0.713388, 0.301777, 0.750000
-DEAL::-0.603553, -0.603553, 0.125000
-DEAL::-0.603553, -0.603553, 0.375000
-DEAL::-0.603553, -0.603553, 0.625000
-DEAL::-0.603553, -0.603553, 0.875000
-DEAL::-0.603553, 0.603553, 0.125000
-DEAL::-0.603553, 0.603553, 0.375000
-DEAL::-0.603553, 0.603553, 0.625000
-DEAL::-0.603553, 0.603553, 0.875000
-DEAL::-0.573223, -0.250000, 0.125000
-DEAL::-0.573223, -0.250000, 0.375000
-DEAL::-0.573223, -0.250000, 0.625000
-DEAL::-0.573223, -0.250000, 0.875000
-DEAL::-0.573223, 0.250000, 0.125000
-DEAL::-0.573223, 0.250000, 0.375000
-DEAL::-0.573223, 0.250000, 0.625000
-DEAL::-0.573223, 0.250000, 0.875000
-DEAL::-0.469670, 5.55112e-17, 0.125000
-DEAL::-0.469670, 5.55112e-17, 0.375000
-DEAL::-0.469670, 5.55112e-17, 0.625000
-DEAL::-0.469670, 5.55112e-17, 0.875000
+DEAL::0.713388, -0.301777, 0.00000
 DEAL::-0.433058, -0.198223, 0.00000
-DEAL::-0.433058, -0.198223, 0.500000
-DEAL::-0.433058, -0.198223, 1.00000
+DEAL::0.433058, -0.198223, 0.00000
 DEAL::-0.433058, 0.198223, 0.00000
-DEAL::-0.433058, 0.198223, 0.250000
-DEAL::-0.433058, 0.198223, 0.500000
-DEAL::-0.433058, 0.198223, 0.750000
-DEAL::-0.433058, 0.198223, 1.00000
-DEAL::-0.433058, -0.198223, 0.250000
-DEAL::-0.433058, -0.198223, 0.750000
-DEAL::-0.396447, -0.396447, 0.125000
-DEAL::-0.396447, -0.396447, 0.625000
-DEAL::-0.396447, -0.396447, 0.375000
-DEAL::-0.396447, -0.396447, 0.875000
-DEAL::-0.396447, 0.396447, 0.125000
-DEAL::-0.396447, 0.396447, 0.375000
-DEAL::-0.396447, 0.396447, 0.625000
-DEAL::-0.396447, 0.396447, 0.875000
-DEAL::-0.301777, -0.713388, 0.00000
-DEAL::-0.301777, -0.713388, 0.250000
-DEAL::-0.301777, -0.713388, 0.500000
-DEAL::-0.301777, -0.713388, 0.750000
-DEAL::-0.301777, -0.713388, 1.00000
+DEAL::0.433058, 0.198223, 0.00000
+DEAL::-0.713388, 0.301777, 0.00000
+DEAL::0.713388, 0.301777, 0.00000
+DEAL::-0.198223, 0.433058, 0.00000
+DEAL::0.198223, 0.433058, 0.00000
 DEAL::-0.301777, 0.713388, 0.00000
-DEAL::-0.301777, 0.713388, 0.500000
-DEAL::-0.301777, 0.713388, 1.00000
-DEAL::-0.301777, 0.713388, 0.250000
-DEAL::-0.301777, 0.713388, 0.750000
+DEAL::0.301777, 0.713388, 0.00000
+DEAL::-4.16334e-17, -0.823223, 0.125000
+DEAL::-0.603553, -0.603553, 0.125000
+DEAL::0.603553, -0.603553, 0.125000
 DEAL::-0.250000, -0.573223, 0.125000
-DEAL::-0.250000, -0.573223, 0.375000
-DEAL::-0.250000, -0.573223, 0.625000
-DEAL::-0.250000, -0.573223, 0.875000
+DEAL::0.250000, -0.573223, 0.125000
+DEAL::-1.38778e-17, -0.469670, 0.125000
+DEAL::-0.396447, -0.396447, 0.125000
+DEAL::0.396447, -0.396447, 0.125000
+DEAL::-0.573223, -0.250000, 0.125000
+DEAL::0.573223, -0.250000, 0.125000
+DEAL::-0.823223, 1.66533e-16, 0.125000
+DEAL::-0.469670, 5.55112e-17, 0.125000
+DEAL::0.469670, -6.93889e-18, 0.125000
+DEAL::0.823223, -3.46945e-17, 0.125000
+DEAL::-0.573223, 0.250000, 0.125000
+DEAL::0.573223, 0.250000, 0.125000
+DEAL::-0.396447, 0.396447, 0.125000
+DEAL::0.396447, 0.396447, 0.125000
+DEAL::1.11022e-16, 0.469670, 0.125000
 DEAL::-0.250000, 0.573223, 0.125000
-DEAL::-0.250000, 0.573223, 0.375000
-DEAL::-0.250000, 0.573223, 0.625000
-DEAL::-0.250000, 0.573223, 0.875000
-DEAL::-0.198223, -0.433058, 0.00000
-DEAL::-0.198223, -0.433058, 0.500000
-DEAL::-0.198223, -0.433058, 1.00000
-DEAL::-0.198223, 0.433058, 0.00000
-DEAL::-0.198223, 0.433058, 0.500000
-DEAL::-0.198223, 0.433058, 1.00000
+DEAL::0.250000, 0.573223, 0.125000
+DEAL::-0.603553, 0.603553, 0.125000
+DEAL::0.603553, 0.603553, 0.125000
+DEAL::3.05311e-16, 0.823223, 0.125000
+DEAL::-0.301777, -0.713388, 0.250000
+DEAL::0.301777, -0.713388, 0.250000
 DEAL::-0.198223, -0.433058, 0.250000
-DEAL::-0.198223, -0.433058, 0.750000
+DEAL::0.198223, -0.433058, 0.250000
+DEAL::-0.713388, -0.301777, 0.250000
+DEAL::0.713388, -0.301777, 0.250000
+DEAL::-0.433058, -0.198223, 0.250000
+DEAL::0.433058, -0.198223, 0.250000
+DEAL::-0.433058, 0.198223, 0.250000
+DEAL::0.433058, 0.198223, 0.250000
+DEAL::-0.713388, 0.301777, 0.250000
+DEAL::0.713388, 0.301777, 0.250000
 DEAL::-0.198223, 0.433058, 0.250000
-DEAL::-0.198223, 0.433058, 0.750000
-DEAL::-4.16334e-17, -0.823223, 0.125000
-DEAL::-4.16334e-17, -0.823223, 0.625000
+DEAL::0.198223, 0.433058, 0.250000
+DEAL::-0.301777, 0.713388, 0.250000
+DEAL::0.301777, 0.713388, 0.250000
 DEAL::-4.16334e-17, -0.823223, 0.375000
-DEAL::-4.16334e-17, -0.823223, 0.875000
-DEAL::-1.38778e-17, -0.469670, 0.125000
+DEAL::-0.603553, -0.603553, 0.375000
+DEAL::0.603553, -0.603553, 0.375000
+DEAL::-0.250000, -0.573223, 0.375000
+DEAL::0.250000, -0.573223, 0.375000
 DEAL::-1.38778e-17, -0.469670, 0.375000
-DEAL::-1.38778e-17, -0.469670, 0.625000
-DEAL::-1.38778e-17, -0.469670, 0.875000
-DEAL::1.11022e-16, 0.469670, 0.125000
+DEAL::-0.396447, -0.396447, 0.375000
+DEAL::0.396447, -0.396447, 0.375000
+DEAL::-0.573223, -0.250000, 0.375000
+DEAL::0.573223, -0.250000, 0.375000
+DEAL::-0.823223, 1.66533e-16, 0.375000
+DEAL::-0.469670, 5.55112e-17, 0.375000
+DEAL::0.469670, -6.93889e-18, 0.375000
+DEAL::0.823223, -3.46945e-17, 0.375000
+DEAL::-0.573223, 0.250000, 0.375000
+DEAL::0.573223, 0.250000, 0.375000
+DEAL::-0.396447, 0.396447, 0.375000
+DEAL::0.396447, 0.396447, 0.375000
 DEAL::1.11022e-16, 0.469670, 0.375000
-DEAL::1.11022e-16, 0.469670, 0.625000
-DEAL::1.11022e-16, 0.469670, 0.875000
+DEAL::-0.250000, 0.573223, 0.375000
+DEAL::0.250000, 0.573223, 0.375000
+DEAL::-0.603553, 0.603553, 0.375000
+DEAL::0.603553, 0.603553, 0.375000
 DEAL::3.05311e-16, 0.823223, 0.375000
-DEAL::3.05311e-16, 0.823223, 0.875000
-DEAL::3.05311e-16, 0.823223, 0.125000
-DEAL::3.05311e-16, 0.823223, 0.625000
-DEAL::0.198223, -0.433058, 0.250000
-DEAL::0.198223, -0.433058, 0.750000
-DEAL::0.198223, -0.433058, 0.00000
+DEAL::-0.301777, -0.713388, 0.500000
+DEAL::0.301777, -0.713388, 0.500000
+DEAL::-0.198223, -0.433058, 0.500000
 DEAL::0.198223, -0.433058, 0.500000
-DEAL::0.198223, -0.433058, 1.00000
-DEAL::0.198223, 0.433058, 0.00000
+DEAL::-0.713388, -0.301777, 0.500000
+DEAL::0.713388, -0.301777, 0.500000
+DEAL::-0.433058, -0.198223, 0.500000
+DEAL::0.433058, -0.198223, 0.500000
+DEAL::-0.433058, 0.198223, 0.500000
+DEAL::0.433058, 0.198223, 0.500000
+DEAL::-0.713388, 0.301777, 0.500000
+DEAL::0.713388, 0.301777, 0.500000
+DEAL::-0.198223, 0.433058, 0.500000
 DEAL::0.198223, 0.433058, 0.500000
-DEAL::0.198223, 0.433058, 1.00000
-DEAL::0.198223, 0.433058, 0.250000
-DEAL::0.198223, 0.433058, 0.750000
-DEAL::0.250000, -0.573223, 0.125000
-DEAL::0.250000, -0.573223, 0.375000
+DEAL::-0.301777, 0.713388, 0.500000
+DEAL::0.301777, 0.713388, 0.500000
+DEAL::-4.16334e-17, -0.823223, 0.625000
+DEAL::-0.603553, -0.603553, 0.625000
+DEAL::0.603553, -0.603553, 0.625000
+DEAL::-0.250000, -0.573223, 0.625000
 DEAL::0.250000, -0.573223, 0.625000
-DEAL::0.250000, -0.573223, 0.875000
-DEAL::0.250000, 0.573223, 0.125000
-DEAL::0.250000, 0.573223, 0.375000
+DEAL::-1.38778e-17, -0.469670, 0.625000
+DEAL::-0.396447, -0.396447, 0.625000
+DEAL::0.396447, -0.396447, 0.625000
+DEAL::-0.573223, -0.250000, 0.625000
+DEAL::0.573223, -0.250000, 0.625000
+DEAL::-0.823223, 1.66533e-16, 0.625000
+DEAL::-0.469670, 5.55112e-17, 0.625000
+DEAL::0.469670, -6.93889e-18, 0.625000
+DEAL::0.823223, -3.46945e-17, 0.625000
+DEAL::-0.573223, 0.250000, 0.625000
+DEAL::0.573223, 0.250000, 0.625000
+DEAL::-0.396447, 0.396447, 0.625000
+DEAL::0.396447, 0.396447, 0.625000
+DEAL::1.11022e-16, 0.469670, 0.625000
+DEAL::-0.250000, 0.573223, 0.625000
 DEAL::0.250000, 0.573223, 0.625000
-DEAL::0.250000, 0.573223, 0.875000
-DEAL::0.301777, -0.713388, 0.250000
+DEAL::-0.603553, 0.603553, 0.625000
+DEAL::0.603553, 0.603553, 0.625000
+DEAL::3.05311e-16, 0.823223, 0.625000
+DEAL::-0.301777, -0.713388, 0.750000
 DEAL::0.301777, -0.713388, 0.750000
-DEAL::0.301777, -0.713388, 0.00000
-DEAL::0.301777, -0.713388, 0.500000
-DEAL::0.301777, -0.713388, 1.00000
-DEAL::0.301777, 0.713388, 0.00000
-DEAL::0.301777, 0.713388, 0.500000
-DEAL::0.301777, 0.713388, 1.00000
-DEAL::0.301777, 0.713388, 0.250000
-DEAL::0.301777, 0.713388, 0.750000
-DEAL::0.396447, -0.396447, 0.375000
-DEAL::0.396447, -0.396447, 0.875000
-DEAL::0.396447, -0.396447, 0.125000
-DEAL::0.396447, -0.396447, 0.625000
-DEAL::0.396447, 0.396447, 0.375000
-DEAL::0.396447, 0.396447, 0.875000
-DEAL::0.396447, 0.396447, 0.125000
-DEAL::0.396447, 0.396447, 0.625000
-DEAL::0.433058, -0.198223, 0.00000
-DEAL::0.433058, -0.198223, 0.500000
-DEAL::0.433058, -0.198223, 1.00000
-DEAL::0.433058, -0.198223, 0.250000
+DEAL::-0.198223, -0.433058, 0.750000
+DEAL::0.198223, -0.433058, 0.750000
+DEAL::-0.713388, -0.301777, 0.750000
+DEAL::0.713388, -0.301777, 0.750000
+DEAL::-0.433058, -0.198223, 0.750000
 DEAL::0.433058, -0.198223, 0.750000
-DEAL::0.433058, 0.198223, 0.250000
+DEAL::-0.433058, 0.198223, 0.750000
 DEAL::0.433058, 0.198223, 0.750000
-DEAL::0.433058, 0.198223, 0.00000
-DEAL::0.433058, 0.198223, 0.500000
-DEAL::0.433058, 0.198223, 1.00000
-DEAL::0.469670, -6.93889e-18, 0.125000
-DEAL::0.469670, -6.93889e-18, 0.375000
-DEAL::0.469670, -6.93889e-18, 0.625000
-DEAL::0.469670, -6.93889e-18, 0.875000
-DEAL::0.573223, -0.250000, 0.125000
-DEAL::0.573223, -0.250000, 0.375000
-DEAL::0.573223, -0.250000, 0.625000
+DEAL::-0.713388, 0.301777, 0.750000
+DEAL::0.713388, 0.301777, 0.750000
+DEAL::-0.198223, 0.433058, 0.750000
+DEAL::0.198223, 0.433058, 0.750000
+DEAL::-0.301777, 0.713388, 0.750000
+DEAL::0.301777, 0.713388, 0.750000
+DEAL::-4.16334e-17, -0.823223, 0.875000
+DEAL::-0.603553, -0.603553, 0.875000
+DEAL::0.603553, -0.603553, 0.875000
+DEAL::-0.250000, -0.573223, 0.875000
+DEAL::0.250000, -0.573223, 0.875000
+DEAL::-1.38778e-17, -0.469670, 0.875000
+DEAL::-0.396447, -0.396447, 0.875000
+DEAL::0.396447, -0.396447, 0.875000
+DEAL::-0.573223, -0.250000, 0.875000
 DEAL::0.573223, -0.250000, 0.875000
-DEAL::0.573223, 0.250000, 0.125000
-DEAL::0.573223, 0.250000, 0.375000
-DEAL::0.573223, 0.250000, 0.625000
+DEAL::-0.823223, 1.66533e-16, 0.875000
+DEAL::-0.469670, 5.55112e-17, 0.875000
+DEAL::0.469670, -6.93889e-18, 0.875000
+DEAL::0.823223, -3.46945e-17, 0.875000
+DEAL::-0.573223, 0.250000, 0.875000
 DEAL::0.573223, 0.250000, 0.875000
-DEAL::0.603553, -0.603553, 0.125000
-DEAL::0.603553, -0.603553, 0.375000
-DEAL::0.603553, -0.603553, 0.625000
-DEAL::0.603553, -0.603553, 0.875000
-DEAL::0.603553, 0.603553, 0.125000
-DEAL::0.603553, 0.603553, 0.375000
-DEAL::0.603553, 0.603553, 0.625000
+DEAL::-0.396447, 0.396447, 0.875000
+DEAL::0.396447, 0.396447, 0.875000
+DEAL::1.11022e-16, 0.469670, 0.875000
+DEAL::-0.250000, 0.573223, 0.875000
+DEAL::0.250000, 0.573223, 0.875000
+DEAL::-0.603553, 0.603553, 0.875000
 DEAL::0.603553, 0.603553, 0.875000
-DEAL::0.713388, -0.301777, 0.00000
-DEAL::0.713388, -0.301777, 0.250000
-DEAL::0.713388, -0.301777, 0.500000
-DEAL::0.713388, -0.301777, 0.750000
+DEAL::3.05311e-16, 0.823223, 0.875000
+DEAL::-0.301777, -0.713388, 1.00000
+DEAL::0.301777, -0.713388, 1.00000
+DEAL::-0.198223, -0.433058, 1.00000
+DEAL::0.198223, -0.433058, 1.00000
+DEAL::-0.713388, -0.301777, 1.00000
 DEAL::0.713388, -0.301777, 1.00000
-DEAL::0.713388, 0.301777, 0.250000
-DEAL::0.713388, 0.301777, 0.750000
-DEAL::0.713388, 0.301777, 0.00000
-DEAL::0.713388, 0.301777, 0.500000
+DEAL::-0.433058, -0.198223, 1.00000
+DEAL::0.433058, -0.198223, 1.00000
+DEAL::-0.433058, 0.198223, 1.00000
+DEAL::0.433058, 0.198223, 1.00000
+DEAL::-0.713388, 0.301777, 1.00000
 DEAL::0.713388, 0.301777, 1.00000
-DEAL::0.823223, -3.46945e-17, 0.375000
-DEAL::0.823223, -3.46945e-17, 0.875000
-DEAL::0.823223, -3.46945e-17, 0.125000
-DEAL::0.823223, -3.46945e-17, 0.625000
+DEAL::-0.198223, 0.433058, 1.00000
+DEAL::0.198223, 0.433058, 1.00000
+DEAL::-0.301777, 0.713388, 1.00000
+DEAL::0.301777, 0.713388, 1.00000
 DEAL::manifold id: 4294967295
+DEAL::-0.146447, -0.146447, 0.00000
+DEAL::0.146447, -0.146447, 0.00000
+DEAL::-0.146447, 0.146447, 0.00000
+DEAL::0.146447, 0.146447, 0.00000
+DEAL::-0.146447, -0.292893, 0.125000
+DEAL::0.146447, -0.292893, 0.125000
 DEAL::-0.292893, -0.146447, 0.125000
-DEAL::-0.292893, -0.146447, 0.375000
-DEAL::-0.292893, -0.146447, 0.625000
-DEAL::-0.292893, -0.146447, 0.875000
+DEAL::0.00000, -0.146447, 0.125000
+DEAL::0.292893, -0.146447, 0.125000
+DEAL::-0.146447, 0.00000, 0.125000
+DEAL::0.146447, 0.00000, 0.125000
 DEAL::-0.292893, 0.146447, 0.125000
-DEAL::-0.292893, 0.146447, 0.375000
-DEAL::-0.292893, 0.146447, 0.625000
-DEAL::-0.292893, 0.146447, 0.875000
-DEAL::-0.146447, -0.292893, 0.125000
-DEAL::-0.146447, -0.292893, 0.375000
-DEAL::-0.146447, -0.292893, 0.625000
-DEAL::-0.146447, -0.292893, 0.875000
-DEAL::-0.146447, -0.146447, 0.00000
+DEAL::0.00000, 0.146447, 0.125000
+DEAL::0.292893, 0.146447, 0.125000
+DEAL::-0.146447, 0.292893, 0.125000
+DEAL::0.146447, 0.292893, 0.125000
 DEAL::-0.146447, -0.146447, 0.250000
-DEAL::-0.146447, -0.146447, 0.500000
-DEAL::-0.146447, -0.146447, 0.750000
-DEAL::-0.146447, -0.146447, 1.00000
-DEAL::-0.146447, 0.00000, 0.125000
-DEAL::-0.146447, 0.00000, 0.375000
-DEAL::-0.146447, 0.00000, 0.625000
-DEAL::-0.146447, 0.00000, 0.875000
-DEAL::-0.146447, 0.146447, 0.00000
+DEAL::0.146447, -0.146447, 0.250000
 DEAL::-0.146447, 0.146447, 0.250000
-DEAL::-0.146447, 0.146447, 0.500000
-DEAL::-0.146447, 0.146447, 0.750000
-DEAL::-0.146447, 0.146447, 1.00000
-DEAL::-0.146447, 0.292893, 0.125000
-DEAL::-0.146447, 0.292893, 0.375000
-DEAL::-0.146447, 0.292893, 0.625000
-DEAL::-0.146447, 0.292893, 0.875000
-DEAL::0.00000, -0.146447, 0.125000
+DEAL::0.146447, 0.146447, 0.250000
+DEAL::-0.146447, -0.292893, 0.375000
+DEAL::0.146447, -0.292893, 0.375000
+DEAL::-0.292893, -0.146447, 0.375000
 DEAL::0.00000, -0.146447, 0.375000
-DEAL::0.00000, -0.146447, 0.625000
-DEAL::0.00000, -0.146447, 0.875000
-DEAL::0.00000, 0.146447, 0.125000
+DEAL::0.292893, -0.146447, 0.375000
+DEAL::-0.146447, 0.00000, 0.375000
+DEAL::0.146447, 0.00000, 0.375000
+DEAL::-0.292893, 0.146447, 0.375000
 DEAL::0.00000, 0.146447, 0.375000
-DEAL::0.00000, 0.146447, 0.625000
-DEAL::0.00000, 0.146447, 0.875000
-DEAL::0.146447, -0.292893, 0.125000
-DEAL::0.146447, -0.292893, 0.375000
-DEAL::0.146447, -0.292893, 0.625000
-DEAL::0.146447, -0.292893, 0.875000
-DEAL::0.146447, -0.146447, 0.00000
-DEAL::0.146447, -0.146447, 0.250000
+DEAL::0.292893, 0.146447, 0.375000
+DEAL::-0.146447, 0.292893, 0.375000
+DEAL::0.146447, 0.292893, 0.375000
+DEAL::-0.146447, -0.146447, 0.500000
 DEAL::0.146447, -0.146447, 0.500000
-DEAL::0.146447, -0.146447, 0.750000
-DEAL::0.146447, -0.146447, 1.00000
-DEAL::0.146447, 0.00000, 0.125000
-DEAL::0.146447, 0.00000, 0.375000
-DEAL::0.146447, 0.00000, 0.625000
-DEAL::0.146447, 0.00000, 0.875000
-DEAL::0.146447, 0.146447, 0.00000
-DEAL::0.146447, 0.146447, 0.250000
+DEAL::-0.146447, 0.146447, 0.500000
 DEAL::0.146447, 0.146447, 0.500000
-DEAL::0.146447, 0.146447, 0.750000
-DEAL::0.146447, 0.146447, 1.00000
-DEAL::0.146447, 0.292893, 0.125000
-DEAL::0.146447, 0.292893, 0.375000
-DEAL::0.146447, 0.292893, 0.625000
-DEAL::0.146447, 0.292893, 0.875000
-DEAL::0.292893, -0.146447, 0.125000
-DEAL::0.292893, -0.146447, 0.375000
+DEAL::-0.146447, -0.292893, 0.625000
+DEAL::0.146447, -0.292893, 0.625000
+DEAL::-0.292893, -0.146447, 0.625000
+DEAL::0.00000, -0.146447, 0.625000
 DEAL::0.292893, -0.146447, 0.625000
-DEAL::0.292893, -0.146447, 0.875000
-DEAL::0.292893, 0.146447, 0.125000
-DEAL::0.292893, 0.146447, 0.375000
+DEAL::-0.146447, 0.00000, 0.625000
+DEAL::0.146447, 0.00000, 0.625000
+DEAL::-0.292893, 0.146447, 0.625000
+DEAL::0.00000, 0.146447, 0.625000
 DEAL::0.292893, 0.146447, 0.625000
+DEAL::-0.146447, 0.292893, 0.625000
+DEAL::0.146447, 0.292893, 0.625000
+DEAL::-0.146447, -0.146447, 0.750000
+DEAL::0.146447, -0.146447, 0.750000
+DEAL::-0.146447, 0.146447, 0.750000
+DEAL::0.146447, 0.146447, 0.750000
+DEAL::-0.146447, -0.292893, 0.875000
+DEAL::0.146447, -0.292893, 0.875000
+DEAL::-0.292893, -0.146447, 0.875000
+DEAL::0.00000, -0.146447, 0.875000
+DEAL::0.292893, -0.146447, 0.875000
+DEAL::-0.146447, 0.00000, 0.875000
+DEAL::0.146447, 0.00000, 0.875000
+DEAL::-0.292893, 0.146447, 0.875000
+DEAL::0.00000, 0.146447, 0.875000
 DEAL::0.292893, 0.146447, 0.875000
+DEAL::-0.146447, 0.292893, 0.875000
+DEAL::0.146447, 0.292893, 0.875000
+DEAL::-0.146447, -0.146447, 1.00000
+DEAL::0.146447, -0.146447, 1.00000
+DEAL::-0.146447, 0.146447, 1.00000
+DEAL::0.146447, 0.146447, 1.00000
 DEAL::line centers:
 DEAL::manifold id: 0
-DEAL::-1.00000, 2.22045e-16, 0.125000
-DEAL::-1.00000, 2.22045e-16, 0.375000
-DEAL::-1.00000, 2.22045e-16, 0.625000
-DEAL::-1.00000, 2.22045e-16, 0.875000
+DEAL::-0.353553, -0.853553, 0.00000
+DEAL::0.353553, -0.853553, 0.00000
 DEAL::-0.853553, -0.353553, 0.00000
-DEAL::-0.853553, -0.353553, 0.500000
-DEAL::-0.853553, -0.353553, 1.00000
+DEAL::0.853553, -0.353553, 0.00000
 DEAL::-0.853553, 0.353553, 0.00000
-DEAL::-0.853553, 0.353553, 0.500000
-DEAL::-0.853553, 0.353553, 1.00000
-DEAL::-0.853553, -0.353553, 0.250000
-DEAL::-0.853553, -0.353553, 0.750000
-DEAL::-0.853553, 0.353553, 0.250000
-DEAL::-0.853553, 0.353553, 0.750000
+DEAL::0.853553, 0.353553, 0.00000
+DEAL::-0.353553, 0.853553, 0.00000
+DEAL::0.353553, 0.853553, 0.00000
+DEAL::-5.55112e-17, -1.00000, 0.125000
 DEAL::-0.707107, -0.707107, 0.125000
-DEAL::-0.707107, -0.707107, 0.375000
-DEAL::-0.707107, -0.707107, 0.625000
-DEAL::-0.707107, -0.707107, 0.875000
+DEAL::0.707107, -0.707107, 0.125000
+DEAL::-1.00000, 2.22045e-16, 0.125000
+DEAL::1.00000, -5.55112e-17, 0.125000
 DEAL::-0.707107, 0.707107, 0.125000
-DEAL::-0.707107, 0.707107, 0.375000
-DEAL::-0.707107, 0.707107, 0.625000
-DEAL::-0.707107, 0.707107, 0.875000
-DEAL::-0.353553, -0.853553, 0.00000
-DEAL::-0.353553, -0.853553, 0.500000
-DEAL::-0.353553, -0.853553, 1.00000
+DEAL::0.707107, 0.707107, 0.125000
+DEAL::3.88578e-16, 1.00000, 0.125000
 DEAL::-0.353553, -0.853553, 0.250000
-DEAL::-0.353553, -0.853553, 0.750000
-DEAL::-0.353553, 0.853553, 0.00000
-DEAL::-0.353553, 0.853553, 0.500000
-DEAL::-0.353553, 0.853553, 1.00000
+DEAL::0.353553, -0.853553, 0.250000
+DEAL::-0.853553, -0.353553, 0.250000
+DEAL::0.853553, -0.353553, 0.250000
+DEAL::-0.853553, 0.353553, 0.250000
+DEAL::0.853553, 0.353553, 0.250000
 DEAL::-0.353553, 0.853553, 0.250000
-DEAL::-0.353553, 0.853553, 0.750000
-DEAL::-5.55112e-17, -1.00000, 0.125000
+DEAL::0.353553, 0.853553, 0.250000
 DEAL::-5.55112e-17, -1.00000, 0.375000
-DEAL::-5.55112e-17, -1.00000, 0.625000
-DEAL::-5.55112e-17, -1.00000, 0.875000
-DEAL::3.88578e-16, 1.00000, 0.125000
+DEAL::-0.707107, -0.707107, 0.375000
+DEAL::0.707107, -0.707107, 0.375000
+DEAL::-1.00000, 2.22045e-16, 0.375000
+DEAL::1.00000, -5.55112e-17, 0.375000
+DEAL::-0.707107, 0.707107, 0.375000
+DEAL::0.707107, 0.707107, 0.375000
 DEAL::3.88578e-16, 1.00000, 0.375000
-DEAL::3.88578e-16, 1.00000, 0.625000
-DEAL::3.88578e-16, 1.00000, 0.875000
-DEAL::0.353553, -0.853553, 0.250000
-DEAL::0.353553, -0.853553, 0.750000
-DEAL::0.353553, -0.853553, 0.00000
+DEAL::-0.353553, -0.853553, 0.500000
 DEAL::0.353553, -0.853553, 0.500000
-DEAL::0.353553, -0.853553, 1.00000
-DEAL::0.353553, 0.853553, 0.00000
+DEAL::-0.853553, -0.353553, 0.500000
+DEAL::0.853553, -0.353553, 0.500000
+DEAL::-0.853553, 0.353553, 0.500000
+DEAL::0.853553, 0.353553, 0.500000
+DEAL::-0.353553, 0.853553, 0.500000
 DEAL::0.353553, 0.853553, 0.500000
-DEAL::0.353553, 0.853553, 1.00000
-DEAL::0.353553, 0.853553, 0.250000
-DEAL::0.353553, 0.853553, 0.750000
-DEAL::0.707107, -0.707107, 0.125000
-DEAL::0.707107, -0.707107, 0.375000
+DEAL::-5.55112e-17, -1.00000, 0.625000
+DEAL::-0.707107, -0.707107, 0.625000
 DEAL::0.707107, -0.707107, 0.625000
-DEAL::0.707107, -0.707107, 0.875000
-DEAL::0.707107, 0.707107, 0.125000
-DEAL::0.707107, 0.707107, 0.375000
+DEAL::-1.00000, 2.22045e-16, 0.625000
+DEAL::1.00000, -5.55112e-17, 0.625000
+DEAL::-0.707107, 0.707107, 0.625000
 DEAL::0.707107, 0.707107, 0.625000
-DEAL::0.707107, 0.707107, 0.875000
-DEAL::0.853553, -0.353553, 0.250000
+DEAL::3.88578e-16, 1.00000, 0.625000
+DEAL::-0.353553, -0.853553, 0.750000
+DEAL::0.353553, -0.853553, 0.750000
+DEAL::-0.853553, -0.353553, 0.750000
 DEAL::0.853553, -0.353553, 0.750000
-DEAL::0.853553, 0.353553, 0.250000
+DEAL::-0.853553, 0.353553, 0.750000
 DEAL::0.853553, 0.353553, 0.750000
-DEAL::0.853553, -0.353553, 0.00000
-DEAL::0.853553, -0.353553, 0.500000
+DEAL::-0.353553, 0.853553, 0.750000
+DEAL::0.353553, 0.853553, 0.750000
+DEAL::-5.55112e-17, -1.00000, 0.875000
+DEAL::-0.707107, -0.707107, 0.875000
+DEAL::0.707107, -0.707107, 0.875000
+DEAL::-1.00000, 2.22045e-16, 0.875000
+DEAL::1.00000, -5.55112e-17, 0.875000
+DEAL::-0.707107, 0.707107, 0.875000
+DEAL::0.707107, 0.707107, 0.875000
+DEAL::3.88578e-16, 1.00000, 0.875000
+DEAL::-0.353553, -0.853553, 1.00000
+DEAL::0.353553, -0.853553, 1.00000
+DEAL::-0.853553, -0.353553, 1.00000
 DEAL::0.853553, -0.353553, 1.00000
-DEAL::0.853553, 0.353553, 0.00000
-DEAL::0.853553, 0.353553, 0.500000
+DEAL::-0.853553, 0.353553, 1.00000
 DEAL::0.853553, 0.353553, 1.00000
-DEAL::1.00000, -5.55112e-17, 0.125000
-DEAL::1.00000, -5.55112e-17, 0.375000
-DEAL::1.00000, -5.55112e-17, 0.625000
-DEAL::1.00000, -5.55112e-17, 0.875000
+DEAL::-0.353553, 0.853553, 1.00000
+DEAL::0.353553, 0.853553, 1.00000
 DEAL::manifold id: 1
-DEAL::-0.823223, 1.66533e-16, 0.00000
-DEAL::-0.823223, 1.66533e-16, 0.500000
-DEAL::-0.823223, 1.66533e-16, 1.00000
-DEAL::-0.823223, 1.66533e-16, 0.250000
-DEAL::-0.823223, 1.66533e-16, 0.750000
-DEAL::-0.646447, 1.11022e-16, 0.125000
-DEAL::-0.646447, 1.11022e-16, 0.375000
-DEAL::-0.646447, 1.11022e-16, 0.625000
-DEAL::-0.646447, 1.11022e-16, 0.875000
+DEAL::-4.16334e-17, -0.823223, 0.00000
 DEAL::-0.603553, -0.603553, 0.00000
-DEAL::-0.603553, -0.603553, 0.500000
-DEAL::-0.603553, -0.603553, 1.00000
-DEAL::-0.603553, 0.603553, 0.00000
-DEAL::-0.603553, 0.603553, 0.500000
-DEAL::-0.603553, 0.603553, 1.00000
-DEAL::-0.603553, -0.603553, 0.250000
-DEAL::-0.603553, -0.603553, 0.750000
-DEAL::-0.603553, 0.603553, 0.250000
-DEAL::-0.603553, 0.603553, 0.750000
+DEAL::0.603553, -0.603553, 0.00000
+DEAL::-0.250000, -0.573223, 0.00000
+DEAL::0.250000, -0.573223, 0.00000
+DEAL::-1.38778e-17, -0.469670, 0.00000
+DEAL::-0.396447, -0.396447, 0.00000
+DEAL::0.396447, -0.396447, 0.00000
 DEAL::-0.573223, -0.250000, 0.00000
-DEAL::-0.573223, -0.250000, 0.500000
-DEAL::-0.573223, -0.250000, 1.00000
-DEAL::-0.573223, -0.250000, 0.250000
-DEAL::-0.573223, -0.250000, 0.750000
+DEAL::0.573223, -0.250000, 0.00000
+DEAL::-0.823223, 1.66533e-16, 0.00000
+DEAL::-0.469670, 5.55112e-17, 0.00000
+DEAL::0.469670, -1.38778e-17, 0.00000
+DEAL::0.823223, -4.16334e-17, 0.00000
 DEAL::-0.573223, 0.250000, 0.00000
-DEAL::-0.573223, 0.250000, 0.250000
-DEAL::-0.573223, 0.250000, 0.500000
-DEAL::-0.573223, 0.250000, 0.750000
-DEAL::-0.573223, 0.250000, 1.00000
+DEAL::0.573223, 0.250000, 0.00000
+DEAL::-0.396447, 0.396447, 0.00000
+DEAL::0.396447, 0.396447, 0.00000
+DEAL::5.55112e-17, 0.469670, 0.00000
+DEAL::-0.250000, 0.573223, 0.00000
+DEAL::0.250000, 0.573223, 0.00000
+DEAL::-0.603553, 0.603553, 0.00000
+DEAL::0.603553, 0.603553, 0.00000
+DEAL::1.38778e-16, 0.823223, 0.00000
+DEAL::-2.77556e-17, -0.646447, 0.125000
 DEAL::-0.500000, -0.500000, 0.125000
-DEAL::-0.500000, -0.500000, 0.375000
-DEAL::-0.500000, -0.500000, 0.625000
-DEAL::-0.500000, -0.500000, 0.875000
+DEAL::0.500000, -0.500000, 0.125000
+DEAL::-0.646447, 1.11022e-16, 0.125000
+DEAL::0.646447, -1.38778e-17, 0.125000
 DEAL::-0.500000, 0.500000, 0.125000
-DEAL::-0.500000, 0.500000, 0.375000
-DEAL::-0.500000, 0.500000, 0.625000
-DEAL::-0.500000, 0.500000, 0.875000
-DEAL::-0.469670, 5.55112e-17, 0.00000
-DEAL::-0.469670, 5.55112e-17, 0.250000
-DEAL::-0.469670, 5.55112e-17, 0.500000
-DEAL::-0.469670, 5.55112e-17, 0.750000
-DEAL::-0.469670, 5.55112e-17, 1.00000
-DEAL::-0.396447, -0.396447, 0.00000
-DEAL::-0.396447, -0.396447, 0.500000
-DEAL::-0.396447, -0.396447, 1.00000
-DEAL::-0.396447, 0.396447, 0.00000
-DEAL::-0.396447, 0.396447, 0.500000
-DEAL::-0.396447, 0.396447, 1.00000
+DEAL::0.500000, 0.500000, 0.125000
+DEAL::2.22045e-16, 0.646447, 0.125000
+DEAL::-4.16334e-17, -0.823223, 0.250000
+DEAL::-0.603553, -0.603553, 0.250000
+DEAL::0.603553, -0.603553, 0.250000
+DEAL::-0.250000, -0.573223, 0.250000
+DEAL::0.250000, -0.573223, 0.250000
+DEAL::-1.38778e-17, -0.469670, 0.250000
 DEAL::-0.396447, -0.396447, 0.250000
-DEAL::-0.396447, -0.396447, 0.750000
+DEAL::0.396447, -0.396447, 0.250000
+DEAL::-0.573223, -0.250000, 0.250000
+DEAL::0.573223, -0.250000, 0.250000
+DEAL::-0.823223, 1.66533e-16, 0.250000
+DEAL::-0.469670, 5.55112e-17, 0.250000
+DEAL::0.469670, 0.00000, 0.250000
+DEAL::0.823223, -2.77556e-17, 0.250000
+DEAL::-0.573223, 0.250000, 0.250000
+DEAL::0.573223, 0.250000, 0.250000
 DEAL::-0.396447, 0.396447, 0.250000
-DEAL::-0.396447, 0.396447, 0.750000
-DEAL::-0.250000, -0.573223, 0.00000
-DEAL::-0.250000, -0.573223, 0.500000
-DEAL::-0.250000, -0.573223, 1.00000
-DEAL::-0.250000, -0.573223, 0.250000
-DEAL::-0.250000, -0.573223, 0.750000
-DEAL::-0.250000, 0.573223, 0.00000
-DEAL::-0.250000, 0.573223, 0.500000
-DEAL::-0.250000, 0.573223, 1.00000
+DEAL::0.396447, 0.396447, 0.250000
+DEAL::1.66533e-16, 0.469670, 0.250000
 DEAL::-0.250000, 0.573223, 0.250000
-DEAL::-0.250000, 0.573223, 0.750000
-DEAL::-4.16334e-17, -0.823223, 0.00000
-DEAL::-4.16334e-17, -0.823223, 0.500000
-DEAL::-4.16334e-17, -0.823223, 1.00000
-DEAL::-4.16334e-17, -0.823223, 0.250000
-DEAL::-4.16334e-17, -0.823223, 0.750000
-DEAL::-2.77556e-17, -0.646447, 0.125000
+DEAL::0.250000, 0.573223, 0.250000
+DEAL::-0.603553, 0.603553, 0.250000
+DEAL::0.603553, 0.603553, 0.250000
+DEAL::4.71845e-16, 0.823223, 0.250000
 DEAL::-2.77556e-17, -0.646447, 0.375000
-DEAL::-2.77556e-17, -0.646447, 0.625000
-DEAL::-2.77556e-17, -0.646447, 0.875000
-DEAL::-1.38778e-17, -0.469670, 0.00000
-DEAL::-1.38778e-17, -0.469670, 0.250000
+DEAL::-0.500000, -0.500000, 0.375000
+DEAL::0.500000, -0.500000, 0.375000
+DEAL::-0.646447, 1.11022e-16, 0.375000
+DEAL::0.646447, -1.38778e-17, 0.375000
+DEAL::-0.500000, 0.500000, 0.375000
+DEAL::0.500000, 0.500000, 0.375000
+DEAL::2.22045e-16, 0.646447, 0.375000
+DEAL::-4.16334e-17, -0.823223, 0.500000
+DEAL::-0.603553, -0.603553, 0.500000
+DEAL::0.603553, -0.603553, 0.500000
+DEAL::-0.250000, -0.573223, 0.500000
+DEAL::0.250000, -0.573223, 0.500000
 DEAL::-1.38778e-17, -0.469670, 0.500000
-DEAL::-1.38778e-17, -0.469670, 0.750000
-DEAL::-1.38778e-17, -0.469670, 1.00000
-DEAL::5.55112e-17, 0.469670, 0.00000
+DEAL::-0.396447, -0.396447, 0.500000
+DEAL::0.396447, -0.396447, 0.500000
+DEAL::-0.573223, -0.250000, 0.500000
+DEAL::0.573223, -0.250000, 0.500000
+DEAL::-0.823223, 1.66533e-16, 0.500000
+DEAL::-0.469670, 5.55112e-17, 0.500000
+DEAL::0.469670, -1.38778e-17, 0.500000
+DEAL::0.823223, -4.16334e-17, 0.500000
+DEAL::-0.573223, 0.250000, 0.500000
+DEAL::0.573223, 0.250000, 0.500000
+DEAL::-0.396447, 0.396447, 0.500000
+DEAL::0.396447, 0.396447, 0.500000
 DEAL::5.55112e-17, 0.469670, 0.500000
-DEAL::5.55112e-17, 0.469670, 1.00000
-DEAL::1.38778e-16, 0.823223, 0.00000
+DEAL::-0.250000, 0.573223, 0.500000
+DEAL::0.250000, 0.573223, 0.500000
+DEAL::-0.603553, 0.603553, 0.500000
+DEAL::0.603553, 0.603553, 0.500000
 DEAL::1.38778e-16, 0.823223, 0.500000
-DEAL::1.38778e-16, 0.823223, 1.00000
-DEAL::1.66533e-16, 0.469670, 0.250000
-DEAL::1.66533e-16, 0.469670, 0.750000
-DEAL::2.22045e-16, 0.646447, 0.125000
-DEAL::2.22045e-16, 0.646447, 0.375000
+DEAL::-2.77556e-17, -0.646447, 0.625000
+DEAL::-0.500000, -0.500000, 0.625000
+DEAL::0.500000, -0.500000, 0.625000
+DEAL::-0.646447, 1.11022e-16, 0.625000
+DEAL::0.646447, -1.38778e-17, 0.625000
+DEAL::-0.500000, 0.500000, 0.625000
+DEAL::0.500000, 0.500000, 0.625000
 DEAL::2.22045e-16, 0.646447, 0.625000
-DEAL::2.22045e-16, 0.646447, 0.875000
-DEAL::4.71845e-16, 0.823223, 0.250000
-DEAL::4.71845e-16, 0.823223, 0.750000
-DEAL::0.250000, -0.573223, 0.250000
+DEAL::-4.16334e-17, -0.823223, 0.750000
+DEAL::-0.603553, -0.603553, 0.750000
+DEAL::0.603553, -0.603553, 0.750000
+DEAL::-0.250000, -0.573223, 0.750000
 DEAL::0.250000, -0.573223, 0.750000
-DEAL::0.250000, -0.573223, 0.00000
-DEAL::0.250000, -0.573223, 0.500000
-DEAL::0.250000, -0.573223, 1.00000
-DEAL::0.250000, 0.573223, 0.00000
-DEAL::0.250000, 0.573223, 0.500000
-DEAL::0.250000, 0.573223, 1.00000
-DEAL::0.250000, 0.573223, 0.250000
-DEAL::0.250000, 0.573223, 0.750000
-DEAL::0.396447, -0.396447, 0.250000
+DEAL::-1.38778e-17, -0.469670, 0.750000
+DEAL::-0.396447, -0.396447, 0.750000
 DEAL::0.396447, -0.396447, 0.750000
-DEAL::0.396447, -0.396447, 0.00000
-DEAL::0.396447, -0.396447, 0.500000
-DEAL::0.396447, -0.396447, 1.00000
-DEAL::0.396447, 0.396447, 0.250000
-DEAL::0.396447, 0.396447, 0.750000
-DEAL::0.396447, 0.396447, 0.00000
-DEAL::0.396447, 0.396447, 0.500000
-DEAL::0.396447, 0.396447, 1.00000
-DEAL::0.469670, -1.38778e-17, 0.00000
-DEAL::0.469670, -1.38778e-17, 0.500000
-DEAL::0.469670, -1.38778e-17, 1.00000
-DEAL::0.469670, 0.00000, 0.250000
+DEAL::-0.573223, -0.250000, 0.750000
+DEAL::0.573223, -0.250000, 0.750000
+DEAL::-0.823223, 1.66533e-16, 0.750000
+DEAL::-0.469670, 5.55112e-17, 0.750000
 DEAL::0.469670, 0.00000, 0.750000
-DEAL::0.500000, -0.500000, 0.125000
-DEAL::0.500000, -0.500000, 0.375000
-DEAL::0.500000, -0.500000, 0.625000
+DEAL::0.823223, -2.77556e-17, 0.750000
+DEAL::-0.573223, 0.250000, 0.750000
+DEAL::0.573223, 0.250000, 0.750000
+DEAL::-0.396447, 0.396447, 0.750000
+DEAL::0.396447, 0.396447, 0.750000
+DEAL::1.66533e-16, 0.469670, 0.750000
+DEAL::-0.250000, 0.573223, 0.750000
+DEAL::0.250000, 0.573223, 0.750000
+DEAL::-0.603553, 0.603553, 0.750000
+DEAL::0.603553, 0.603553, 0.750000
+DEAL::4.71845e-16, 0.823223, 0.750000
+DEAL::-2.77556e-17, -0.646447, 0.875000
+DEAL::-0.500000, -0.500000, 0.875000
 DEAL::0.500000, -0.500000, 0.875000
-DEAL::0.500000, 0.500000, 0.125000
-DEAL::0.500000, 0.500000, 0.375000
-DEAL::0.500000, 0.500000, 0.625000
+DEAL::-0.646447, 1.11022e-16, 0.875000
+DEAL::0.646447, -1.38778e-17, 0.875000
+DEAL::-0.500000, 0.500000, 0.875000
 DEAL::0.500000, 0.500000, 0.875000
-DEAL::0.573223, -0.250000, 0.00000
-DEAL::0.573223, -0.250000, 0.500000
+DEAL::2.22045e-16, 0.646447, 0.875000
+DEAL::-4.16334e-17, -0.823223, 1.00000
+DEAL::-0.603553, -0.603553, 1.00000
+DEAL::0.603553, -0.603553, 1.00000
+DEAL::-0.250000, -0.573223, 1.00000
+DEAL::0.250000, -0.573223, 1.00000
+DEAL::-1.38778e-17, -0.469670, 1.00000
+DEAL::-0.396447, -0.396447, 1.00000
+DEAL::0.396447, -0.396447, 1.00000
+DEAL::-0.573223, -0.250000, 1.00000
 DEAL::0.573223, -0.250000, 1.00000
-DEAL::0.573223, -0.250000, 0.250000
-DEAL::0.573223, -0.250000, 0.750000
-DEAL::0.573223, 0.250000, 0.250000
-DEAL::0.573223, 0.250000, 0.750000
-DEAL::0.573223, 0.250000, 0.00000
-DEAL::0.573223, 0.250000, 0.500000
+DEAL::-0.823223, 1.66533e-16, 1.00000
+DEAL::-0.469670, 5.55112e-17, 1.00000
+DEAL::0.469670, -1.38778e-17, 1.00000
+DEAL::0.823223, -4.16334e-17, 1.00000
+DEAL::-0.573223, 0.250000, 1.00000
 DEAL::0.573223, 0.250000, 1.00000
-DEAL::0.603553, -0.603553, 0.250000
-DEAL::0.603553, -0.603553, 0.750000
-DEAL::0.603553, -0.603553, 0.00000
-DEAL::0.603553, -0.603553, 0.500000
-DEAL::0.603553, -0.603553, 1.00000
-DEAL::0.603553, 0.603553, 0.250000
-DEAL::0.603553, 0.603553, 0.750000
-DEAL::0.603553, 0.603553, 0.00000
-DEAL::0.603553, 0.603553, 0.500000
+DEAL::-0.396447, 0.396447, 1.00000
+DEAL::0.396447, 0.396447, 1.00000
+DEAL::5.55112e-17, 0.469670, 1.00000
+DEAL::-0.250000, 0.573223, 1.00000
+DEAL::0.250000, 0.573223, 1.00000
+DEAL::-0.603553, 0.603553, 1.00000
 DEAL::0.603553, 0.603553, 1.00000
-DEAL::0.646447, -1.38778e-17, 0.125000
-DEAL::0.646447, -1.38778e-17, 0.375000
-DEAL::0.646447, -1.38778e-17, 0.625000
-DEAL::0.646447, -1.38778e-17, 0.875000
-DEAL::0.823223, -2.77556e-17, 0.250000
-DEAL::0.823223, -2.77556e-17, 0.750000
-DEAL::0.823223, -4.16334e-17, 0.00000
-DEAL::0.823223, -4.16334e-17, 0.500000
-DEAL::0.823223, -4.16334e-17, 1.00000
+DEAL::1.38778e-16, 0.823223, 1.00000
 DEAL::manifold id: 4294967295
-DEAL::-0.292893, -0.292893, 0.125000
-DEAL::-0.292893, -0.292893, 0.375000
-DEAL::-0.292893, -0.292893, 0.625000
-DEAL::-0.292893, -0.292893, 0.875000
+DEAL::-0.146447, -0.292893, 0.00000
+DEAL::0.146447, -0.292893, 0.00000
 DEAL::-0.292893, -0.146447, 0.00000
-DEAL::-0.292893, -0.146447, 0.250000
-DEAL::-0.292893, -0.146447, 0.500000
-DEAL::-0.292893, -0.146447, 0.750000
-DEAL::-0.292893, -0.146447, 1.00000
-DEAL::-0.292893, 0.00000, 0.125000
-DEAL::-0.292893, 0.00000, 0.375000
-DEAL::-0.292893, 0.00000, 0.625000
-DEAL::-0.292893, 0.00000, 0.875000
+DEAL::0.00000, -0.146447, 0.00000
+DEAL::0.292893, -0.146447, 0.00000
+DEAL::-0.146447, 0.00000, 0.00000
+DEAL::0.146447, 0.00000, 0.00000
 DEAL::-0.292893, 0.146447, 0.00000
-DEAL::-0.292893, 0.146447, 0.250000
-DEAL::-0.292893, 0.146447, 0.500000
-DEAL::-0.292893, 0.146447, 0.750000
-DEAL::-0.292893, 0.146447, 1.00000
+DEAL::0.00000, 0.146447, 0.00000
+DEAL::0.292893, 0.146447, 0.00000
+DEAL::-0.146447, 0.292893, 0.00000
+DEAL::0.146447, 0.292893, 0.00000
+DEAL::-0.292893, -0.292893, 0.125000
+DEAL::0.00000, -0.292893, 0.125000
+DEAL::0.292893, -0.292893, 0.125000
+DEAL::-0.292893, 0.00000, 0.125000
+DEAL::0.00000, 0.00000, 0.125000
+DEAL::0.292893, 0.00000, 0.125000
 DEAL::-0.292893, 0.292893, 0.125000
-DEAL::-0.292893, 0.292893, 0.375000
-DEAL::-0.292893, 0.292893, 0.625000
-DEAL::-0.292893, 0.292893, 0.875000
-DEAL::-0.146447, -0.292893, 0.00000
+DEAL::0.00000, 0.292893, 0.125000
+DEAL::0.292893, 0.292893, 0.125000
 DEAL::-0.146447, -0.292893, 0.250000
-DEAL::-0.146447, -0.292893, 0.500000
-DEAL::-0.146447, -0.292893, 0.750000
-DEAL::-0.146447, -0.292893, 1.00000
-DEAL::-0.146447, 0.00000, 0.00000
+DEAL::0.146447, -0.292893, 0.250000
+DEAL::-0.292893, -0.146447, 0.250000
+DEAL::0.00000, -0.146447, 0.250000
+DEAL::0.292893, -0.146447, 0.250000
 DEAL::-0.146447, 0.00000, 0.250000
-DEAL::-0.146447, 0.00000, 0.500000
-DEAL::-0.146447, 0.00000, 0.750000
-DEAL::-0.146447, 0.00000, 1.00000
-DEAL::-0.146447, 0.292893, 0.00000
+DEAL::0.146447, 0.00000, 0.250000
+DEAL::-0.292893, 0.146447, 0.250000
+DEAL::0.00000, 0.146447, 0.250000
+DEAL::0.292893, 0.146447, 0.250000
 DEAL::-0.146447, 0.292893, 0.250000
-DEAL::-0.146447, 0.292893, 0.500000
-DEAL::-0.146447, 0.292893, 0.750000
-DEAL::-0.146447, 0.292893, 1.00000
-DEAL::0.00000, -0.292893, 0.125000
+DEAL::0.146447, 0.292893, 0.250000
+DEAL::-0.292893, -0.292893, 0.375000
 DEAL::0.00000, -0.292893, 0.375000
-DEAL::0.00000, -0.292893, 0.625000
-DEAL::0.00000, -0.292893, 0.875000
-DEAL::0.00000, -0.146447, 0.00000
-DEAL::0.00000, -0.146447, 0.250000
-DEAL::0.00000, -0.146447, 0.500000
-DEAL::0.00000, -0.146447, 0.750000
-DEAL::0.00000, -0.146447, 1.00000
-DEAL::0.00000, 0.00000, 0.125000
+DEAL::0.292893, -0.292893, 0.375000
+DEAL::-0.292893, 0.00000, 0.375000
 DEAL::0.00000, 0.00000, 0.375000
-DEAL::0.00000, 0.00000, 0.625000
-DEAL::0.00000, 0.00000, 0.875000
-DEAL::0.00000, 0.146447, 0.00000
-DEAL::0.00000, 0.146447, 0.250000
-DEAL::0.00000, 0.146447, 0.500000
-DEAL::0.00000, 0.146447, 0.750000
-DEAL::0.00000, 0.146447, 1.00000
-DEAL::0.00000, 0.292893, 0.125000
+DEAL::0.292893, 0.00000, 0.375000
+DEAL::-0.292893, 0.292893, 0.375000
 DEAL::0.00000, 0.292893, 0.375000
-DEAL::0.00000, 0.292893, 0.625000
-DEAL::0.00000, 0.292893, 0.875000
-DEAL::0.146447, -0.292893, 0.00000
-DEAL::0.146447, -0.292893, 0.250000
+DEAL::0.292893, 0.292893, 0.375000
+DEAL::-0.146447, -0.292893, 0.500000
 DEAL::0.146447, -0.292893, 0.500000
-DEAL::0.146447, -0.292893, 0.750000
-DEAL::0.146447, -0.292893, 1.00000
-DEAL::0.146447, 0.00000, 0.00000
-DEAL::0.146447, 0.00000, 0.250000
+DEAL::-0.292893, -0.146447, 0.500000
+DEAL::0.00000, -0.146447, 0.500000
+DEAL::0.292893, -0.146447, 0.500000
+DEAL::-0.146447, 0.00000, 0.500000
 DEAL::0.146447, 0.00000, 0.500000
-DEAL::0.146447, 0.00000, 0.750000
-DEAL::0.146447, 0.00000, 1.00000
-DEAL::0.146447, 0.292893, 0.00000
-DEAL::0.146447, 0.292893, 0.250000
+DEAL::-0.292893, 0.146447, 0.500000
+DEAL::0.00000, 0.146447, 0.500000
+DEAL::0.292893, 0.146447, 0.500000
+DEAL::-0.146447, 0.292893, 0.500000
 DEAL::0.146447, 0.292893, 0.500000
-DEAL::0.146447, 0.292893, 0.750000
-DEAL::0.146447, 0.292893, 1.00000
-DEAL::0.292893, -0.292893, 0.125000
-DEAL::0.292893, -0.292893, 0.375000
+DEAL::-0.292893, -0.292893, 0.625000
+DEAL::0.00000, -0.292893, 0.625000
 DEAL::0.292893, -0.292893, 0.625000
-DEAL::0.292893, -0.292893, 0.875000
-DEAL::0.292893, -0.146447, 0.00000
-DEAL::0.292893, -0.146447, 0.250000
-DEAL::0.292893, -0.146447, 0.500000
-DEAL::0.292893, -0.146447, 0.750000
-DEAL::0.292893, -0.146447, 1.00000
-DEAL::0.292893, 0.00000, 0.125000
-DEAL::0.292893, 0.00000, 0.375000
+DEAL::-0.292893, 0.00000, 0.625000
+DEAL::0.00000, 0.00000, 0.625000
 DEAL::0.292893, 0.00000, 0.625000
-DEAL::0.292893, 0.00000, 0.875000
-DEAL::0.292893, 0.146447, 0.00000
-DEAL::0.292893, 0.146447, 0.250000
-DEAL::0.292893, 0.146447, 0.500000
-DEAL::0.292893, 0.146447, 0.750000
-DEAL::0.292893, 0.146447, 1.00000
-DEAL::0.292893, 0.292893, 0.125000
-DEAL::0.292893, 0.292893, 0.375000
+DEAL::-0.292893, 0.292893, 0.625000
+DEAL::0.00000, 0.292893, 0.625000
 DEAL::0.292893, 0.292893, 0.625000
+DEAL::-0.146447, -0.292893, 0.750000
+DEAL::0.146447, -0.292893, 0.750000
+DEAL::-0.292893, -0.146447, 0.750000
+DEAL::0.00000, -0.146447, 0.750000
+DEAL::0.292893, -0.146447, 0.750000
+DEAL::-0.146447, 0.00000, 0.750000
+DEAL::0.146447, 0.00000, 0.750000
+DEAL::-0.292893, 0.146447, 0.750000
+DEAL::0.00000, 0.146447, 0.750000
+DEAL::0.292893, 0.146447, 0.750000
+DEAL::-0.146447, 0.292893, 0.750000
+DEAL::0.146447, 0.292893, 0.750000
+DEAL::-0.292893, -0.292893, 0.875000
+DEAL::0.00000, -0.292893, 0.875000
+DEAL::0.292893, -0.292893, 0.875000
+DEAL::-0.292893, 0.00000, 0.875000
+DEAL::0.00000, 0.00000, 0.875000
+DEAL::0.292893, 0.00000, 0.875000
+DEAL::-0.292893, 0.292893, 0.875000
+DEAL::0.00000, 0.292893, 0.875000
 DEAL::0.292893, 0.292893, 0.875000
+DEAL::-0.146447, -0.292893, 1.00000
+DEAL::0.146447, -0.292893, 1.00000
+DEAL::-0.292893, -0.146447, 1.00000
+DEAL::0.00000, -0.146447, 1.00000
+DEAL::0.292893, -0.146447, 1.00000
+DEAL::-0.146447, 0.00000, 1.00000
+DEAL::0.146447, 0.00000, 1.00000
+DEAL::-0.292893, 0.146447, 1.00000
+DEAL::0.00000, 0.146447, 1.00000
+DEAL::0.292893, 0.146447, 1.00000
+DEAL::-0.146447, 0.292893, 1.00000
+DEAL::0.146447, 0.292893, 1.00000