From ff1d39c93450ea8e460b9142ed6c4ffa4bf184f9 Mon Sep 17 00:00:00 2001
From: mattijs <mattijs>
Date: Wed, 29 Feb 2012 14:41:22 +0000
Subject: [PATCH] ENH: cvMeshSurfaceSimplify: new cvMesh utility to output the
surface
---
.../utilities/mesh/generation/cvMesh/Allwmake | 1 +
.../cvMesh/cvMeshSurfaceSimplify/Make/files | 6 +
.../cvMesh/cvMeshSurfaceSimplify/Make/options | 17 +
.../MarchingCubes/LookUpTable.h | 2322 ++++++++++++
.../MarchingCubes/MarchingCubes.cpp | 1302 +++++++
.../MarchingCubes/MarchingCubes.h | 343 ++
.../cvMeshSurfaceSimplify/MarchingCubes/ply.c | 3325 +++++++++++++++++
.../cvMeshSurfaceSimplify/MarchingCubes/ply.h | 233 ++
.../cvMeshSurfaceSimplify.C | 350 ++
.../marching_cubes_jgt.zip | Bin 0 -> 170157 bytes
10 files changed, 7899 insertions(+)
create mode 100644 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/files
create mode 100644 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/options
create mode 100755 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/LookUpTable.h
create mode 100755 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.cpp
create mode 100755 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.h
create mode 100755 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.c
create mode 100755 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.h
create mode 100644 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/cvMeshSurfaceSimplify.C
create mode 100644 applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/marching_cubes_jgt.zip
diff --git a/applications/utilities/mesh/generation/cvMesh/Allwmake b/applications/utilities/mesh/generation/cvMesh/Allwmake
index 688b3be475c..f059754bab6 100755
--- a/applications/utilities/mesh/generation/cvMesh/Allwmake
+++ b/applications/utilities/mesh/generation/cvMesh/Allwmake
@@ -4,5 +4,6 @@ set -x
wmake libso conformalVoronoiMesh
wmake
+wmake cvMeshSurfaceSimplify
# ----------------------------------------------------------------- end-of-file
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/files b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/files
new file mode 100644
index 00000000000..a0fcd8f0bf8
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/files
@@ -0,0 +1,6 @@
+cvMeshSurfaceSimplify.C
+
+MarchingCubes/MarchingCubes.cpp
+MarchingCubes/ply.c
+
+EXE = $(FOAM_APPBIN)/cvMeshSurfaceSimplify
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/options b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/options
new file mode 100644
index 00000000000..1711b9ba615
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/Make/options
@@ -0,0 +1,17 @@
+include $(GENERAL_RULES)/CGAL
+
+EXE_INC = \
+ -IMarchingCubes \
+ -I../conformalVoronoiMesh/lnInclude \
+ -I$(LIB_SRC)/edgeMesh/lnInclude \
+ -I$(LIB_SRC)/triSurface/lnInclude \
+ -I$(LIB_SRC)/meshTools/lnInclude
+
+EXE_LIBS = \
+ $(CGAL_LIBS) \
+ -lconformalVoronoiMesh \
+ -ldecompositionMethods -L$(FOAM_LIBBIN)/dummy -lscotchDecomp \
+ -ledgeMesh \
+ -ltriSurface \
+ -lmeshTools \
+ -ldynamicMesh
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/LookUpTable.h b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/LookUpTable.h
new file mode 100755
index 00000000000..5529346954a
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/LookUpTable.h
@@ -0,0 +1,2322 @@
+/**
+ * @file LookUpTable.h
+ * @author Thomas Lewiner <thomas.lewiner@polytechnique.org>
+ * @author Math Dept, PUC-Rio
+ * @version 0.2
+ * @date 12/08/2002
+ *
+ * @brief LookUpTable for the MarchingCubes 33 Algorithm
+ */
+//________________________________________________
+
+
+
+#ifndef _LOOKUPTABLE_H_
+#define _LOOKUPTABLE_H_
+
+
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief case mapping
+ * For each of the possible vertex states listed in this table there is a
+ * specific triangulation of the edge intersection points. The table lists
+ * all of them in the form of 0-5 edge triples with the list terminated by
+ * the invalid value -1. For example: case[3] list the 2 triangles
+ * formed when cube[0] and cube[1] are inside of the surface, but the rest of
+ * the cube is not.
+ *
+ * Cube description:
+ * 7 ________ 6 _____6__ ________
+ * /| /| 7/| /| /| /|
+ * / | / | / | /5 | / 6 / |
+ * 4 /_______ / | /__4____ / 10 /_______3/ |
+ * | | |5 | | 11 | | | | | 2 |
+ * | 3|__|_____|2 | |__|__2__| | 4 |__|_____|
+ * | / | / 8 3/ 9 / | / | /
+ * | / | / | / | /1 | / 5 /
+ * |/_______|/ |/___0___|/ |/_1_____|/
+ * 0 1 0 1
+ */
+//-----------------------------------------------------------------------------
+static const char cases[256][2] = {
+/* 0: */ { 0, -1 },
+/* 1: 0, */ { 1, 0 },
+/* 2: 1, */ { 1, 1 },
+/* 3: 0, 1, */ { 2, 0 },
+/* 4: 2, */ { 1, 2 },
+/* 5: 0, 2, */ { 3, 0 },
+/* 6: 1, 2, */ { 2, 3 },
+/* 7: 0, 1, 2, */ { 5, 0 },
+/* 8: 3, */ { 1, 3 },
+/* 9: 0, 3, */ { 2, 1 },
+/* 10: 1, 3, */ { 3, 3 },
+/* 11: 0, 1, 3, */ { 5, 1 },
+/* 12: 2, 3, */ { 2, 5 },
+/* 13: 0, 2, 3, */ { 5, 4 },
+/* 14: 1, 2, 3, */ { 5, 9 },
+/* 15: 0, 1, 2, 3, */ { 8, 0 },
+/* 16: 4, */ { 1, 4 },
+/* 17: 0, 4, */ { 2, 2 },
+/* 18: 1, 4, */ { 3, 4 },
+/* 19: 0, 1, 4, */ { 5, 2 },
+/* 20: 2, 4, */ { 4, 2 },
+/* 21: 0, 2, 4, */ { 6, 2 },
+/* 22: 1, 2, 4, */ { 6, 9 },
+/* 23: 0, 1, 2, 4, */ { 11, 0 },
+/* 24: 3, 4, */ { 3, 8 },
+/* 25: 0, 3, 4, */ { 5, 5 },
+/* 26: 1, 3, 4, */ { 7, 3 },
+/* 27: 0, 1, 3, 4, */ { 9, 1 },
+/* 28: 2, 3, 4, */ { 6, 16 },
+/* 29: 0, 2, 3, 4, */ { 14, 3 },
+/* 30: 1, 2, 3, 4, */ { 12, 12 },
+/* 31: 0, 1, 2, 3, 4, */ { 5, 24 },
+/* 32: 5, */ { 1, 5 },
+/* 33: 0, 5, */ { 3, 1 },
+/* 34: 1, 5, */ { 2, 4 },
+/* 35: 0, 1, 5, */ { 5, 3 },
+/* 36: 2, 5, */ { 3, 6 },
+/* 37: 0, 2, 5, */ { 7, 0 },
+/* 38: 1, 2, 5, */ { 5, 10 },
+/* 39: 0, 1, 2, 5, */ { 9, 0 },
+/* 40: 3, 5, */ { 4, 3 },
+/* 41: 0, 3, 5, */ { 6, 4 },
+/* 42: 1, 3, 5, */ { 6, 11 },
+/* 43: 0, 1, 3, 5, */ { 14, 1 },
+/* 44: 2, 3, 5, */ { 6, 17 },
+/* 45: 0, 2, 3, 5, */ { 12, 4 },
+/* 46: 1, 2, 3, 5, */ { 11, 6 },
+/* 47: 0, 1, 2, 3, 5, */ { 5, 25 },
+/* 48: 4, 5, */ { 2, 8 },
+/* 49: 0, 4, 5, */ { 5, 7 },
+/* 50: 1, 4, 5, */ { 5, 12 },
+/* 51: 0, 1, 4, 5, */ { 8, 1 },
+/* 52: 2, 4, 5, */ { 6, 18 },
+/* 53: 0, 2, 4, 5, */ { 12, 5 },
+/* 54: 1, 2, 4, 5, */ { 14, 7 },
+/* 55: 0, 1, 2, 4, 5, */ { 5, 28 },
+/* 56: 3, 4, 5, */ { 6, 21 },
+/* 57: 0, 3, 4, 5, */ { 11, 4 },
+/* 58: 1, 3, 4, 5, */ { 12, 15 },
+/* 59: 0, 1, 3, 4, 5, */ { 5, 30 },
+/* 60: 2, 3, 4, 5, */ { 10, 5 },
+/* 61: 0, 2, 3, 4, 5, */ { 6, 32 },
+/* 62: 1, 2, 3, 4, 5, */ { 6, 39 },
+/* 63: 0, 1, 2, 3, 4, 5, */ { 2, 12 },
+/* 64: 6, */ { 1, 6 },
+/* 65: 0, 6, */ { 4, 0 },
+/* 66: 1, 6, */ { 3, 5 },
+/* 67: 0, 1, 6, */ { 6, 0 },
+/* 68: 2, 6, */ { 2, 6 },
+/* 69: 0, 2, 6, */ { 6, 3 },
+/* 70: 1, 2, 6, */ { 5, 11 },
+/* 71: 0, 1, 2, 6, */ { 14, 0 },
+/* 72: 3, 6, */ { 3, 9 },
+/* 73: 0, 3, 6, */ { 6, 5 },
+/* 74: 1, 3, 6, */ { 7, 4 },
+/* 75: 0, 1, 3, 6, */ { 12, 1 },
+/* 76: 2, 3, 6, */ { 5, 14 },
+/* 77: 0, 2, 3, 6, */ { 11, 3 },
+/* 78: 1, 2, 3, 6, */ { 9, 4 },
+/* 79: 0, 1, 2, 3, 6, */ { 5, 26 },
+/* 80: 4, 6, */ { 3, 10 },
+/* 81: 0, 4, 6, */ { 6, 6 },
+/* 82: 1, 4, 6, */ { 7, 5 },
+/* 83: 0, 1, 4, 6, */ { 12, 2 },
+/* 84: 2, 4, 6, */ { 6, 19 },
+/* 85: 0, 2, 4, 6, */ { 10, 1 },
+/* 86: 1, 2, 4, 6, */ { 12, 13 },
+/* 87: 0, 1, 2, 4, 6, */ { 6, 24 },
+/* 88: 3, 4, 6, */ { 7, 7 },
+/* 89: 0, 3, 4, 6, */ { 12, 9 },
+/* 90: 1, 3, 4, 6, */ { 13, 1 },
+/* 91: 0, 1, 3, 4, 6, */ { 7, 9 },
+/* 92: 2, 3, 4, 6, */ { 12, 20 },
+/* 93: 0, 2, 3, 4, 6, */ { 6, 33 },
+/* 94: 1, 2, 3, 4, 6, */ { 7, 13 },
+/* 95: 0, 1, 2, 3, 4, 6, */ { 3, 12 },
+/* 96: 5, 6, */ { 2, 10 },
+/* 97: 0, 5, 6, */ { 6, 7 },
+/* 98: 1, 5, 6, */ { 5, 13 },
+/* 99: 0, 1, 5, 6, */ { 11, 2 },
+/* 100: 2, 5, 6, */ { 5, 16 },
+/* 101: 0, 2, 5, 6, */ { 12, 7 },
+/* 102: 1, 2, 5, 6, */ { 8, 3 },
+/* 103: 0, 1, 2, 5, 6, */ { 5, 29 },
+/* 104: 3, 5, 6, */ { 6, 22 },
+/* 105: 0, 3, 5, 6, */ { 10, 2 },
+/* 106: 1, 3, 5, 6, */ { 12, 17 },
+/* 107: 0, 1, 3, 5, 6, */ { 6, 27 },
+/* 108: 2, 3, 5, 6, */ { 14, 9 },
+/* 109: 0, 2, 3, 5, 6, */ { 6, 34 },
+/* 110: 1, 2, 3, 5, 6, */ { 5, 39 },
+/* 111: 0, 1, 2, 3, 5, 6, */ { 2, 14 },
+/* 112: 4, 5, 6, */ { 5, 20 },
+/* 113: 0, 4, 5, 6, */ { 14, 5 },
+/* 114: 1, 4, 5, 6, */ { 9, 5 },
+/* 115: 0, 1, 4, 5, 6, */ { 5, 32 },
+/* 116: 2, 4, 5, 6, */ { 11, 10 },
+/* 117: 0, 2, 4, 5, 6, */ { 6, 35 },
+/* 118: 1, 2, 4, 5, 6, */ { 5, 41 },
+/* 119: 0, 1, 2, 4, 5, 6, */ { 2, 16 },
+/* 120: 3, 4, 5, 6, */ { 12, 23 },
+/* 121: 0, 3, 4, 5, 6, */ { 6, 37 },
+/* 122: 1, 3, 4, 5, 6, */ { 7, 14 },
+/* 123: 0, 1, 3, 4, 5, 6, */ { 3, 16 },
+/* 124: 2, 3, 4, 5, 6, */ { 6, 46 },
+/* 125: 0, 2, 3, 4, 5, 6, */ { 4, 6 },
+/* 126: 1, 2, 3, 4, 5, 6, */ { 3, 21 },
+/* 127: 0, 1, 2, 3, 4, 5, 6, */ { 1, 8 },
+/* 128: 7, */ { 1, 7 },
+/* 129: 0, 7, */ { 3, 2 },
+/* 130: 1, 7, */ { 4, 1 },
+/* 131: 0, 1, 7, */ { 6, 1 },
+/* 132: 2, 7, */ { 3, 7 },
+/* 133: 0, 2, 7, */ { 7, 1 },
+/* 134: 1, 2, 7, */ { 6, 10 },
+/* 135: 0, 1, 2, 7, */ { 12, 0 },
+/* 136: 3, 7, */ { 2, 7 },
+/* 137: 0, 3, 7, */ { 5, 6 },
+/* 138: 1, 3, 7, */ { 6, 12 },
+/* 139: 0, 1, 3, 7, */ { 11, 1 },
+/* 140: 2, 3, 7, */ { 5, 15 },
+/* 141: 0, 2, 3, 7, */ { 9, 2 },
+/* 142: 1, 2, 3, 7, */ { 14, 6 },
+/* 143: 0, 1, 2, 3, 7, */ { 5, 27 },
+/* 144: 4, 7, */ { 2, 9 },
+/* 145: 0, 4, 7, */ { 5, 8 },
+/* 146: 1, 4, 7, */ { 6, 13 },
+/* 147: 0, 1, 4, 7, */ { 14, 2 },
+/* 148: 2, 4, 7, */ { 6, 20 },
+/* 149: 0, 2, 4, 7, */ { 12, 6 },
+/* 150: 1, 2, 4, 7, */ { 10, 3 },
+/* 151: 0, 1, 2, 4, 7, */ { 6, 25 },
+/* 152: 3, 4, 7, */ { 5, 18 },
+/* 153: 0, 3, 4, 7, */ { 8, 2 },
+/* 154: 1, 3, 4, 7, */ { 12, 16 },
+/* 155: 0, 1, 3, 4, 7, */ { 5, 31 },
+/* 156: 2, 3, 4, 7, */ { 11, 9 },
+/* 157: 0, 2, 3, 4, 7, */ { 5, 34 },
+/* 158: 1, 2, 3, 4, 7, */ { 6, 40 },
+/* 159: 0, 1, 2, 3, 4, 7, */ { 2, 13 },
+/* 160: 5, 7, */ { 3, 11 },
+/* 161: 0, 5, 7, */ { 7, 2 },
+/* 162: 1, 5, 7, */ { 6, 14 },
+/* 163: 0, 1, 5, 7, */ { 12, 3 },
+/* 164: 2, 5, 7, */ { 7, 6 },
+/* 165: 0, 2, 5, 7, */ { 13, 0 },
+/* 166: 1, 2, 5, 7, */ { 12, 14 },
+/* 167: 0, 1, 2, 5, 7, */ { 7, 8 },
+/* 168: 3, 5, 7, */ { 6, 23 },
+/* 169: 0, 3, 5, 7, */ { 12, 10 },
+/* 170: 1, 3, 5, 7, */ { 10, 4 },
+/* 171: 0, 1, 3, 5, 7, */ { 6, 28 },
+/* 172: 2, 3, 5, 7, */ { 12, 21 },
+/* 173: 0, 2, 3, 5, 7, */ { 7, 10 },
+/* 174: 1, 2, 3, 5, 7, */ { 6, 41 },
+/* 175: 0, 1, 2, 3, 5, 7, */ { 3, 13 },
+/* 176: 4, 5, 7, */ { 5, 21 },
+/* 177: 0, 4, 5, 7, */ { 9, 3 },
+/* 178: 1, 4, 5, 7, */ { 11, 8 },
+/* 179: 0, 1, 4, 5, 7, */ { 5, 33 },
+/* 180: 2, 4, 5, 7, */ { 12, 22 },
+/* 181: 0, 2, 4, 5, 7, */ { 7, 11 },
+/* 182: 1, 2, 4, 5, 7, */ { 6, 42 },
+/* 183: 0, 1, 2, 4, 5, 7, */ { 3, 14 },
+/* 184: 3, 4, 5, 7, */ { 14, 11 },
+/* 185: 0, 3, 4, 5, 7, */ { 5, 36 },
+/* 186: 1, 3, 4, 5, 7, */ { 6, 44 },
+/* 187: 0, 1, 3, 4, 5, 7, */ { 2, 17 },
+/* 188: 2, 3, 4, 5, 7, */ { 6, 47 },
+/* 189: 0, 2, 3, 4, 5, 7, */ { 3, 18 },
+/* 190: 1, 2, 3, 4, 5, 7, */ { 4, 7 },
+/* 191: 0, 1, 2, 3, 4, 5, 7, */ { 1, 9 },
+/* 192: 6, 7, */ { 2, 11 },
+/* 193: 0, 6, 7, */ { 6, 8 },
+/* 194: 1, 6, 7, */ { 6, 15 },
+/* 195: 0, 1, 6, 7, */ { 10, 0 },
+/* 196: 2, 6, 7, */ { 5, 17 },
+/* 197: 0, 2, 6, 7, */ { 12, 8 },
+/* 198: 1, 2, 6, 7, */ { 11, 7 },
+/* 199: 0, 1, 2, 6, 7, */ { 6, 26 },
+/* 200: 3, 6, 7, */ { 5, 19 },
+/* 201: 0, 3, 6, 7, */ { 14, 4 },
+/* 202: 1, 3, 6, 7, */ { 12, 18 },
+/* 203: 0, 1, 3, 6, 7, */ { 6, 29 },
+/* 204: 2, 3, 6, 7, */ { 8, 4 },
+/* 205: 0, 2, 3, 6, 7, */ { 5, 35 },
+/* 206: 1, 2, 3, 6, 7, */ { 5, 40 },
+/* 207: 0, 1, 2, 3, 6, 7, */ { 2, 15 },
+/* 208: 4, 6, 7, */ { 5, 22 },
+/* 209: 0, 4, 6, 7, */ { 11, 5 },
+/* 210: 1, 4, 6, 7, */ { 12, 19 },
+/* 211: 0, 1, 4, 6, 7, */ { 6, 30 },
+/* 212: 2, 4, 6, 7, */ { 14, 10 },
+/* 213: 0, 2, 4, 6, 7, */ { 6, 36 },
+/* 214: 1, 2, 4, 6, 7, */ { 6, 43 },
+/* 215: 0, 1, 2, 4, 6, 7, */ { 4, 4 },
+/* 216: 3, 4, 6, 7, */ { 9, 7 },
+/* 217: 0, 3, 4, 6, 7, */ { 5, 37 },
+/* 218: 1, 3, 4, 6, 7, */ { 7, 15 },
+/* 219: 0, 1, 3, 4, 6, 7, */ { 3, 17 },
+/* 220: 2, 3, 4, 6, 7, */ { 5, 44 },
+/* 221: 0, 2, 3, 4, 6, 7, */ { 2, 19 },
+/* 222: 1, 2, 3, 4, 6, 7, */ { 3, 22 },
+/* 223: 0, 1, 2, 3, 4, 6, 7, */ { 1, 10 },
+/* 224: 5, 6, 7, */ { 5, 23 },
+/* 225: 0, 5, 6, 7, */ { 12, 11 },
+/* 226: 1, 5, 6, 7, */ { 14, 8 },
+/* 227: 0, 1, 5, 6, 7, */ { 6, 31 },
+/* 228: 2, 5, 6, 7, */ { 9, 6 },
+/* 229: 0, 2, 5, 6, 7, */ { 7, 12 },
+/* 230: 1, 2, 5, 6, 7, */ { 5, 42 },
+/* 231: 0, 1, 2, 5, 6, 7, */ { 3, 15 },
+/* 232: 3, 5, 6, 7, */ { 11, 11 },
+/* 233: 0, 3, 5, 6, 7, */ { 6, 38 },
+/* 234: 1, 3, 5, 6, 7, */ { 6, 45 },
+/* 235: 0, 1, 3, 5, 6, 7, */ { 4, 5 },
+/* 236: 2, 3, 5, 6, 7, */ { 5, 45 },
+/* 237: 0, 2, 3, 5, 6, 7, */ { 3, 19 },
+/* 238: 1, 2, 3, 5, 6, 7, */ { 2, 21 },
+/* 239: 0, 1, 2, 3, 5, 6, 7, */ { 1, 11 },
+/* 240: 4, 5, 6, 7, */ { 8, 5 },
+/* 241: 0, 4, 5, 6, 7, */ { 5, 38 },
+/* 242: 1, 4, 5, 6, 7, */ { 5, 43 },
+/* 243: 0, 1, 4, 5, 6, 7, */ { 2, 18 },
+/* 244: 2, 4, 5, 6, 7, */ { 5, 46 },
+/* 245: 0, 2, 4, 5, 6, 7, */ { 3, 20 },
+/* 246: 1, 2, 4, 5, 6, 7, */ { 2, 22 },
+/* 247: 0, 1, 2, 4, 5, 6, 7, */ { 1, 12 },
+/* 248: 3, 4, 5, 6, 7, */ { 5, 47 },
+/* 249: 0, 3, 4, 5, 6, 7, */ { 2, 20 },
+/* 250: 1, 3, 4, 5, 6, 7, */ { 3, 23 },
+/* 251: 0, 1, 3, 4, 5, 6, 7, */ { 1, 13 },
+/* 252: 2, 3, 4, 5, 6, 7, */ { 2, 23 },
+/* 253: 0, 2, 3, 4, 5, 6, 7, */ { 1, 14 },
+/* 254: 1, 2, 3, 4, 5, 6, 7, */ { 1, 15 },
+/* 255: 0, 1, 2, 3, 4, 5, 6, 7, */ { 0, -1 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling1[16][3] = {
+/* 1: 0, */ { 0, 8, 3 },
+/* 2: 1, */ { 0, 1, 9 },
+/* 4: 2, */ { 1, 2, 10 },
+/* 8: 3, */ { 3, 11, 2 },
+/* 16: 4, */ { 4, 7, 8 },
+/* 32: 5, */ { 9, 5, 4 },
+/* 64: 6, */ { 10, 6, 5 },
+/* 128: 7, */ { 7, 6, 11 },
+/* 127: 0, 1, 2, 3, 4, 5, 6, */ { 7, 11, 6 },
+/* 191: 0, 1, 2, 3, 4, 5, 7, */ { 10, 5, 6 },
+/* 223: 0, 1, 2, 3, 4, 6, 7, */ { 9, 4, 5 },
+/* 239: 0, 1, 2, 3, 5, 6, 7, */ { 4, 8, 7 },
+/* 247: 0, 1, 2, 4, 5, 6, 7, */ { 3, 2, 11 },
+/* 251: 0, 1, 3, 4, 5, 6, 7, */ { 1, 10, 2 },
+/* 253: 0, 2, 3, 4, 5, 6, 7, */ { 0, 9, 1 },
+/* 254: 1, 2, 3, 4, 5, 6, 7, */ { 0, 3, 8 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling2[24][6] = {
+/* 3: 0, 1, */ { 1, 8, 3, 9, 8, 1 },
+/* 9: 0, 3, */ { 0, 11, 2, 8, 11, 0 },
+/* 17: 0, 4, */ { 4, 3, 0, 7, 3, 4 },
+/* 6: 1, 2, */ { 9, 2, 10, 0, 2, 9 },
+/* 34: 1, 5, */ { 0, 5, 4, 1, 5, 0 },
+/* 12: 2, 3, */ { 3, 10, 1, 11, 10, 3 },
+/* 68: 2, 6, */ { 1, 6, 5, 2, 6, 1 },
+/* 136: 3, 7, */ { 7, 2, 3, 6, 2, 7 },
+/* 48: 4, 5, */ { 9, 7, 8, 5, 7, 9 },
+/* 144: 4, 7, */ { 6, 8, 4, 11, 8, 6 },
+/* 96: 5, 6, */ { 10, 4, 9, 6, 4, 10 },
+/* 192: 6, 7, */ { 11, 5, 10, 7, 5, 11 },
+/* 63: 0, 1, 2, 3, 4, 5, */ { 11, 10, 5, 7, 11, 5 },
+/* 159: 0, 1, 2, 3, 4, 7, */ { 10, 9, 4, 6, 10, 4 },
+/* 111: 0, 1, 2, 3, 5, 6, */ { 6, 4, 8, 11, 6, 8 },
+/* 207: 0, 1, 2, 3, 6, 7, */ { 9, 8, 7, 5, 9, 7 },
+/* 119: 0, 1, 2, 4, 5, 6, */ { 7, 3, 2, 6, 7, 2 },
+/* 187: 0, 1, 3, 4, 5, 7, */ { 1, 5, 6, 2, 1, 6 },
+/* 243: 0, 1, 4, 5, 6, 7, */ { 3, 1, 10, 11, 3, 10 },
+/* 221: 0, 2, 3, 4, 6, 7, */ { 0, 4, 5, 1, 0, 5 },
+/* 249: 0, 3, 4, 5, 6, 7, */ { 9, 10, 2, 0, 9, 2 },
+/* 238: 1, 2, 3, 5, 6, 7, */ { 4, 0, 3, 7, 4, 3 },
+/* 246: 1, 2, 4, 5, 6, 7, */ { 0, 2, 11, 8, 0, 11 },
+/* 252: 2, 3, 4, 5, 6, 7, */ { 1, 3, 8, 9, 1, 8 }
+};
+//_____________________________________________________________________________
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 3
+ * One face to test
+ * When the test on the specified face is positive : 4 first triangles
+ * When the test on the specified face is negative : 2 last triangles
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char test3[24] = {
+/* 5: 0, 2, */ 5,
+/* 33: 0, 5, */ 1,
+/* 129: 0, 7, */ 4,
+/* 10: 1, 3, */ 5,
+/* 18: 1, 4, */ 1,
+/* 66: 1, 6, */ 2,
+/* 36: 2, 5, */ 2,
+/* 132: 2, 7, */ 3,
+/* 24: 3, 4, */ 4,
+/* 72: 3, 6, */ 3,
+/* 80: 4, 6, */ 6,
+/* 160: 5, 7, */ 6,
+/* 95: 0, 1, 2, 3, 4, 6, */ -6,
+/* 175: 0, 1, 2, 3, 5, 7, */ -6,
+/* 183: 0, 1, 2, 4, 5, 7, */ -3,
+/* 231: 0, 1, 2, 5, 6, 7, */ -4,
+/* 123: 0, 1, 3, 4, 5, 6, */ -3,
+/* 219: 0, 1, 3, 4, 6, 7, */ -2,
+/* 189: 0, 2, 3, 4, 5, 7, */ -2,
+/* 237: 0, 2, 3, 5, 6, 7, */ -1,
+/* 245: 0, 2, 4, 5, 6, 7, */ -5,
+/* 126: 1, 2, 3, 4, 5, 6, */ -4,
+/* 222: 1, 2, 3, 4, 6, 7, */ -1,
+/* 250: 1, 3, 4, 5, 6, 7, */ -5
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 3.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling3_1[24][6] = {
+/* 5: 0, 2, */ { 0, 8, 3, 1, 2, 10 },
+/* 33: 0, 5, */ { 9, 5, 4, 0, 8, 3 },
+/* 129: 0, 7, */ { 3, 0, 8, 11, 7, 6 },
+/* 10: 1, 3, */ { 1, 9, 0, 2, 3, 11 },
+/* 18: 1, 4, */ { 0, 1, 9, 8, 4, 7 },
+/* 66: 1, 6, */ { 9, 0, 1, 5, 10, 6 },
+/* 36: 2, 5, */ { 1, 2, 10, 9, 5, 4 },
+/* 132: 2, 7, */ { 10, 1, 2, 6, 11, 7 },
+/* 24: 3, 4, */ { 8, 4, 7, 3, 11, 2 },
+/* 72: 3, 6, */ { 2, 3, 11, 10, 6, 5 },
+/* 80: 4, 6, */ { 5, 10, 6, 4, 7, 8 },
+/* 160: 5, 7, */ { 4, 9, 5, 7, 6, 11 },
+/* 95: 0, 1, 2, 3, 4, 6, */ { 5, 9, 4, 11, 6, 7 },
+/* 175: 0, 1, 2, 3, 5, 7, */ { 6, 10, 5, 8, 7, 4 },
+/* 183: 0, 1, 2, 4, 5, 7, */ { 11, 3, 2, 5, 6, 10 },
+/* 231: 0, 1, 2, 5, 6, 7, */ { 7, 4, 8, 2, 11, 3 },
+/* 123: 0, 1, 3, 4, 5, 6, */ { 2, 1, 10, 7, 11, 6 },
+/* 219: 0, 1, 3, 4, 6, 7, */ { 10, 2, 1, 4, 5, 9 },
+/* 189: 0, 2, 3, 4, 5, 7, */ { 1, 0, 9, 6, 10, 5 },
+/* 237: 0, 2, 3, 5, 6, 7, */ { 9, 1, 0, 7, 4, 8 },
+/* 245: 0, 2, 4, 5, 6, 7, */ { 0, 9, 1, 11, 3, 2 },
+/* 126: 1, 2, 3, 4, 5, 6, */ { 8, 0, 3, 6, 7, 11 },
+/* 222: 1, 2, 3, 4, 6, 7, */ { 4, 5, 9, 3, 8, 0 },
+/* 250: 1, 3, 4, 5, 6, 7, */ { 3, 8, 0, 10, 2, 1 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 3.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling3_2[24][12] = {
+/* 5: 0, 2, */ { 10, 3, 2, 10, 8, 3, 10, 1, 0, 8, 10, 0 },
+/* 33: 0, 5, */ { 3, 4, 8, 3, 5, 4, 3, 0, 9, 5, 3, 9 },
+/* 129: 0, 7, */ { 6, 8, 7, 6, 0, 8, 6, 11, 3, 0, 6, 3 },
+/* 10: 1, 3, */ { 11, 0, 3, 11, 9, 0, 11, 2, 1, 9, 11, 1 },
+/* 18: 1, 4, */ { 7, 9, 4, 7, 1, 9, 7, 8, 0, 1, 7, 0 },
+/* 66: 1, 6, */ { 6, 1, 10, 6, 0, 1, 9, 0, 6, 9, 6, 5 },
+/* 36: 2, 5, */ { 4, 10, 5, 4, 2, 10, 4, 9, 1, 2, 4, 1 },
+/* 132: 2, 7, */ { 7, 2, 11, 7, 1, 2, 7, 6, 10, 1, 7, 10 },
+/* 24: 3, 4, */ { 2, 7, 11, 2, 4, 7, 2, 3, 8, 4, 2, 8 },
+/* 72: 3, 6, */ { 5, 11, 6, 5, 3, 11, 5, 10, 2, 3, 5, 2 },
+/* 80: 4, 6, */ { 8, 6, 7, 8, 10, 6, 8, 4, 5, 10, 8, 5 },
+/* 160: 5, 7, */ { 11, 5, 6, 11, 9, 5, 11, 7, 4, 9, 11, 4 },
+/* 95: 0, 1, 2, 3, 4, 6, */ { 6, 5, 11, 5, 9, 11, 4, 7, 11, 4, 11, 9 },
+/* 175: 0, 1, 2, 3, 5, 7, */ { 7, 6, 8, 6, 10, 8, 5, 4, 8, 5, 8, 10 },
+/* 183: 0, 1, 2, 4, 5, 7, */ { 6, 11, 5, 11, 3, 5, 2, 10, 5, 2, 5, 3 },
+/* 231: 0, 1, 2, 5, 6, 7, */ { 11, 7, 2, 7, 4, 2, 8, 3, 2, 8, 2, 4 },
+/* 123: 0, 1, 3, 4, 5, 6, */ { 11, 2, 7, 2, 1, 7, 10, 6, 7, 10, 7, 1 },
+/* 219: 0, 1, 3, 4, 6, 7, */ { 5, 10, 4, 10, 2, 4, 1, 9, 4, 1, 4, 2 },
+/* 189: 0, 2, 3, 4, 5, 7, */ { 10, 1, 6, 1, 0, 6, 6, 0, 9, 5, 6, 9 },
+/* 237: 0, 2, 3, 5, 6, 7, */ { 4, 9, 7, 9, 1, 7, 0, 8, 7, 0, 7, 1 },
+/* 245: 0, 2, 4, 5, 6, 7, */ { 3, 0, 11, 0, 9, 11, 1, 2, 11, 1, 11, 9 },
+/* 126: 1, 2, 3, 4, 5, 6, */ { 7, 8, 6, 8, 0, 6, 3, 11, 6, 3, 6, 0 },
+/* 222: 1, 2, 3, 4, 6, 7, */ { 8, 4, 3, 4, 5, 3, 9, 0, 3, 9, 3, 5 },
+/* 250: 1, 3, 4, 5, 6, 7, */ { 2, 3, 10, 3, 8, 10, 0, 1, 10, 0, 10, 8 }
+};
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 4
+ * Interior to test
+ * When the test on the interior is negative : 2 first triangles
+ * When the test on the interior is positive : 6 last triangles
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char test4[8] = {
+/* 65: 0, 6, */ 7,
+/* 130: 1, 7, */ 7,
+/* 20: 2, 4, */ 7,
+/* 40: 3, 5, */ 7,
+/* 215: 0, 1, 2, 4, 6, 7, */ -7,
+/* 235: 0, 1, 3, 5, 6, 7, */ -7,
+/* 125: 0, 2, 3, 4, 5, 6, */ -7,
+/* 190: 1, 2, 3, 4, 5, 7, */ -7
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 4.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling4_1[8][6] = {
+/* 65: 0, 6, */ { 0, 8, 3, 5, 10, 6 },
+/* 130: 1, 7, */ { 0, 1, 9, 11, 7, 6 },
+/* 20: 2, 4, */ { 1, 2, 10, 8, 4, 7 },
+/* 40: 3, 5, */ { 9, 5, 4, 2, 3, 11 },
+/* 215: 0, 1, 2, 4, 6, 7, */ { 4, 5, 9, 11, 3, 2 },
+/* 235: 0, 1, 3, 5, 6, 7, */ { 10, 2, 1, 7, 4, 8 },
+/* 125: 0, 2, 3, 4, 5, 6, */ { 9, 1, 0, 6, 7, 11 },
+/* 190: 1, 2, 3, 4, 5, 7, */ { 3, 8, 0, 6, 10, 5 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 4.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling4_2[8][18] = {
+/* 65: 0, 6, */ { 8, 5, 0, 5, 8, 6, 3, 6, 8, 6, 3, 10, 0, 10, 3, 10, 0, 5 },
+/* 130: 1, 7, */ { 9, 6, 1, 6, 9, 7, 0, 7, 9, 7, 0, 11, 1, 11, 0, 11, 1, 6 },
+/* 20: 2, 4, */ { 10, 7, 2, 7, 10, 4, 1, 4, 10, 4, 1, 8, 2, 8, 1, 8, 2, 7 },
+/* 40: 3, 5, */ { 11, 4, 3, 4, 11, 5, 2, 5, 11, 5, 2, 9, 3, 9, 2, 9, 3, 4 },
+/* 215: 0, 1, 2, 4, 6, 7, */ { 3, 4, 11, 5, 11, 4, 11, 5, 2, 9, 2, 5, 2, 9, 3, 4, 3, 9 },
+/* 235: 0, 1, 3, 5, 6, 7, */ { 2, 7, 10, 4, 10, 7, 10, 4, 1, 8, 1, 4, 1, 8, 2, 7, 2, 8 },
+/* 125: 0, 2, 3, 4, 5, 6, */ { 1, 6, 9, 7, 9, 6, 9, 7, 0, 11, 0, 7, 0, 11, 1, 6, 1, 11 },
+/* 190: 1, 2, 3, 4, 5, 7, */ { 0, 5, 8, 6, 8, 5, 8, 6, 3, 10, 3, 6, 3, 10, 0, 5, 0, 10 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 5
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling5[48][9] = {
+/* 7: 0, 1, 2, */ { 2, 8, 3, 2, 10, 8, 10, 9, 8 },
+/* 11: 0, 1, 3, */ { 1, 11, 2, 1, 9, 11, 9, 8, 11 },
+/* 19: 0, 1, 4, */ { 4, 1, 9, 4, 7, 1, 7, 3, 1 },
+/* 35: 0, 1, 5, */ { 8, 5, 4, 8, 3, 5, 3, 1, 5 },
+/* 13: 0, 2, 3, */ { 0, 10, 1, 0, 8, 10, 8, 11, 10 },
+/* 25: 0, 3, 4, */ { 11, 4, 7, 11, 2, 4, 2, 0, 4 },
+/* 137: 0, 3, 7, */ { 7, 0, 8, 7, 6, 0, 6, 2, 0 },
+/* 49: 0, 4, 5, */ { 9, 3, 0, 9, 5, 3, 5, 7, 3 },
+/* 145: 0, 4, 7, */ { 3, 6, 11, 3, 0, 6, 0, 4, 6 },
+/* 14: 1, 2, 3, */ { 3, 9, 0, 3, 11, 9, 11, 10, 9 },
+/* 38: 1, 2, 5, */ { 5, 2, 10, 5, 4, 2, 4, 0, 2 },
+/* 70: 1, 2, 6, */ { 9, 6, 5, 9, 0, 6, 0, 2, 6 },
+/* 50: 1, 4, 5, */ { 0, 7, 8, 0, 1, 7, 1, 5, 7 },
+/* 98: 1, 5, 6, */ { 10, 0, 1, 10, 6, 0, 6, 4, 0 },
+/* 76: 2, 3, 6, */ { 6, 3, 11, 6, 5, 3, 5, 1, 3 },
+/* 140: 2, 3, 7, */ { 10, 7, 6, 10, 1, 7, 1, 3, 7 },
+/* 100: 2, 5, 6, */ { 1, 4, 9, 1, 2, 4, 2, 6, 4 },
+/* 196: 2, 6, 7, */ { 11, 1, 2, 11, 7, 1, 7, 5, 1 },
+/* 152: 3, 4, 7, */ { 8, 2, 3, 8, 4, 2, 4, 6, 2 },
+/* 200: 3, 6, 7, */ { 2, 5, 10, 2, 3, 5, 3, 7, 5 },
+/* 112: 4, 5, 6, */ { 7, 10, 6, 7, 8, 10, 8, 9, 10 },
+/* 176: 4, 5, 7, */ { 6, 9, 5, 6, 11, 9, 11, 8, 9 },
+/* 208: 4, 6, 7, */ { 5, 8, 4, 5, 10, 8, 10, 11, 8 },
+/* 224: 5, 6, 7, */ { 4, 11, 7, 4, 9, 11, 9, 10, 11 },
+/* 31: 0, 1, 2, 3, 4, */ { 4, 7, 11, 4, 11, 9, 9, 11, 10 },
+/* 47: 0, 1, 2, 3, 5, */ { 5, 4, 8, 5, 8, 10, 10, 8, 11 },
+/* 79: 0, 1, 2, 3, 6, */ { 6, 5, 9, 6, 9, 11, 11, 9, 8 },
+/* 143: 0, 1, 2, 3, 7, */ { 7, 6, 10, 7, 10, 8, 8, 10, 9 },
+/* 55: 0, 1, 2, 4, 5, */ { 2, 10, 5, 2, 5, 3, 3, 5, 7 },
+/* 103: 0, 1, 2, 5, 6, */ { 8, 3, 2, 8, 2, 4, 4, 2, 6 },
+/* 59: 0, 1, 3, 4, 5, */ { 11, 2, 1, 11, 1, 7, 7, 1, 5 },
+/* 155: 0, 1, 3, 4, 7, */ { 1, 9, 4, 1, 4, 2, 2, 4, 6 },
+/* 115: 0, 1, 4, 5, 6, */ { 10, 6, 7, 10, 7, 1, 1, 7, 3 },
+/* 179: 0, 1, 4, 5, 7, */ { 6, 11, 3, 6, 3, 5, 5, 3, 1 },
+/* 157: 0, 2, 3, 4, 7, */ { 10, 1, 0, 10, 0, 6, 6, 0, 4 },
+/* 205: 0, 2, 3, 6, 7, */ { 0, 8, 7, 0, 7, 1, 1, 7, 5 },
+/* 185: 0, 3, 4, 5, 7, */ { 9, 5, 6, 9, 6, 0, 0, 6, 2 },
+/* 217: 0, 3, 4, 6, 7, */ { 5, 10, 2, 5, 2, 4, 4, 2, 0 },
+/* 241: 0, 4, 5, 6, 7, */ { 3, 0, 9, 3, 9, 11, 11, 9, 10 },
+/* 110: 1, 2, 3, 5, 6, */ { 3, 11, 6, 3, 6, 0, 0, 6, 4 },
+/* 206: 1, 2, 3, 6, 7, */ { 9, 0, 3, 9, 3, 5, 5, 3, 7 },
+/* 118: 1, 2, 4, 5, 6, */ { 7, 8, 0, 7, 0, 6, 6, 0, 2 },
+/* 230: 1, 2, 5, 6, 7, */ { 11, 7, 4, 11, 4, 2, 2, 4, 0 },
+/* 242: 1, 4, 5, 6, 7, */ { 0, 1, 10, 0, 10, 8, 8, 10, 11 },
+/* 220: 2, 3, 4, 6, 7, */ { 8, 4, 5, 8, 5, 3, 3, 5, 1 },
+/* 236: 2, 3, 5, 6, 7, */ { 4, 9, 1, 4, 1, 7, 7, 1, 3 },
+/* 244: 2, 4, 5, 6, 7, */ { 1, 2, 11, 1, 11, 9, 9, 11, 8 },
+/* 248: 3, 4, 5, 6, 7, */ { 2, 3, 8, 2, 8, 10, 10, 8, 9 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 6
+ * 1 face to test + eventually the interior
+ * When the test on the specified face is positive : 5 first triangles
+ * When the test on the specified face is negative :
+ * - if the test on the interior is negative : 3 middle triangles
+ * - if the test on the interior is positive : 8 last triangles
+ * The support edge for the interior test is marked as the 3rd column.
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char test6[48][3] = {
+/* 67: 0, 1, 6, */ { 2, 7, 10 },
+/* 131: 0, 1, 7, */ { 4, 7, 11 },
+/* 21: 0, 2, 4, */ { 5, 7, 1 },
+/* 69: 0, 2, 6, */ { 5, 7, 3 },
+/* 41: 0, 3, 5, */ { 1, 7, 9 },
+/* 73: 0, 3, 6, */ { 3, 7, 10 },
+/* 81: 0, 4, 6, */ { 6, 7, 5 },
+/* 97: 0, 5, 6, */ { 1, 7, 8 },
+/* 193: 0, 6, 7, */ { 4, 7, 8 },
+/* 22: 1, 2, 4, */ { 1, 7, 8 },
+/* 134: 1, 2, 7, */ { 3, 7, 11 },
+/* 42: 1, 3, 5, */ { 5, 7, 2 },
+/* 138: 1, 3, 7, */ { 5, 7, 0 },
+/* 146: 1, 4, 7, */ { 1, 7, 9 },
+/* 162: 1, 5, 7, */ { 6, 7, 6 },
+/* 194: 1, 6, 7, */ { 2, 7, 9 },
+/* 28: 2, 3, 4, */ { 4, 7, 8 },
+/* 44: 2, 3, 5, */ { 2, 7, 9 },
+/* 52: 2, 4, 5, */ { 2, 7, 10 },
+/* 84: 2, 4, 6, */ { 6, 7, 7 },
+/* 148: 2, 4, 7, */ { 3, 7, 10 },
+/* 56: 3, 4, 5, */ { 4, 7, 11 },
+/* 104: 3, 5, 6, */ { 3, 7, 11 },
+/* 168: 3, 5, 7, */ { 6, 7, 4 },
+/* 87: 0, 1, 2, 4, 6, */ { -6, -7, 4 },
+/* 151: 0, 1, 2, 4, 7, */ { -3, -7, 11 },
+/* 199: 0, 1, 2, 6, 7, */ { -4, -7, 11 },
+/* 107: 0, 1, 3, 5, 6, */ { -3, -7, 10 },
+/* 171: 0, 1, 3, 5, 7, */ { -6, -7, 7 },
+/* 203: 0, 1, 3, 6, 7, */ { -2, -7, 10 },
+/* 211: 0, 1, 4, 6, 7, */ { -2, -7, 9 },
+/* 227: 0, 1, 5, 6, 7, */ { -4, -7, 8 },
+/* 61: 0, 2, 3, 4, 5, */ { -2, -7, 9 },
+/* 93: 0, 2, 3, 4, 6, */ { -6, -7, 6 },
+/* 109: 0, 2, 3, 5, 6, */ { -1, -7, 9 },
+/* 117: 0, 2, 4, 5, 6, */ { -5, -7, 0 },
+/* 213: 0, 2, 4, 6, 7, */ { -5, -7, 2 },
+/* 121: 0, 3, 4, 5, 6, */ { -3, -7, 11 },
+/* 233: 0, 3, 5, 6, 7, */ { -1, -7, 8 },
+/* 62: 1, 2, 3, 4, 5, */ { -4, -7, 8 },
+/* 158: 1, 2, 3, 4, 7, */ { -1, -7, 8 },
+/* 174: 1, 2, 3, 5, 7, */ { -6, -7, 5 },
+/* 182: 1, 2, 4, 5, 7, */ { -3, -7, 10 },
+/* 214: 1, 2, 4, 6, 7, */ { -1, -7, 9 },
+/* 186: 1, 3, 4, 5, 7, */ { -5, -7, 3 },
+/* 234: 1, 3, 5, 6, 7, */ { -5, -7, 1 },
+/* 124: 2, 3, 4, 5, 6, */ { -4, -7, 11 },
+/* 188: 2, 3, 4, 5, 7, */ { -2, -7, 10 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 6.1.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling6_1_1[48][9] = {
+/* 67: 0, 1, 6, */ { 6, 5, 10, 3, 1, 8, 9, 8, 1 },
+/* 131: 0, 1, 7, */ { 11, 7, 6, 9, 3, 1, 3, 9, 8 },
+/* 21: 0, 2, 4, */ { 1, 2, 10, 7, 0, 4, 0, 7, 3 },
+/* 69: 0, 2, 6, */ { 3, 0, 8, 5, 2, 6, 2, 5, 1 },
+/* 41: 0, 3, 5, */ { 5, 4, 9, 2, 0, 11, 8, 11, 0 },
+/* 73: 0, 3, 6, */ { 10, 6, 5, 8, 2, 0, 2, 8, 11 },
+/* 81: 0, 4, 6, */ { 10, 6, 5, 0, 4, 3, 7, 3, 4 },
+/* 97: 0, 5, 6, */ { 3, 0, 8, 6, 4, 10, 9, 10, 4 },
+/* 193: 0, 6, 7, */ { 8, 3, 0, 10, 7, 5, 7, 10, 11 },
+/* 22: 1, 2, 4, */ { 8, 4, 7, 10, 0, 2, 0, 10, 9 },
+/* 134: 1, 2, 7, */ { 7, 6, 11, 0, 2, 9, 10, 9, 2 },
+/* 42: 1, 3, 5, */ { 2, 3, 11, 4, 1, 5, 1, 4, 0 },
+/* 138: 1, 3, 7, */ { 0, 1, 9, 6, 3, 7, 3, 6, 2 },
+/* 146: 1, 4, 7, */ { 9, 0, 1, 11, 4, 6, 4, 11, 8 },
+/* 162: 1, 5, 7, */ { 11, 7, 6, 1, 5, 0, 4, 0, 5 },
+/* 194: 1, 6, 7, */ { 0, 1, 9, 7, 5, 11, 10, 11, 5 },
+/* 28: 2, 3, 4, */ { 4, 7, 8, 1, 3, 10, 11, 10, 3 },
+/* 44: 2, 3, 5, */ { 9, 5, 4, 11, 1, 3, 1, 11, 10 },
+/* 52: 2, 4, 5, */ { 10, 1, 2, 8, 5, 7, 5, 8, 9 },
+/* 84: 2, 4, 6, */ { 8, 4, 7, 2, 6, 1, 5, 1, 6 },
+/* 148: 2, 4, 7, */ { 1, 2, 10, 4, 6, 8, 11, 8, 6 },
+/* 56: 3, 4, 5, */ { 2, 3, 11, 5, 7, 9, 8, 9, 7 },
+/* 104: 3, 5, 6, */ { 11, 2, 3, 9, 6, 4, 6, 9, 10 },
+/* 168: 3, 5, 7, */ { 9, 5, 4, 3, 7, 2, 6, 2, 7 },
+/* 87: 0, 1, 2, 4, 6, */ { 4, 5, 9, 2, 7, 3, 7, 2, 6 },
+/* 151: 0, 1, 2, 4, 7, */ { 3, 2, 11, 4, 6, 9, 10, 9, 6 },
+/* 199: 0, 1, 2, 6, 7, */ { 11, 3, 2, 9, 7, 5, 7, 9, 8 },
+/* 107: 0, 1, 3, 5, 6, */ { 10, 2, 1, 8, 6, 4, 6, 8, 11 },
+/* 171: 0, 1, 3, 5, 7, */ { 7, 4, 8, 1, 6, 2, 6, 1, 5 },
+/* 203: 0, 1, 3, 6, 7, */ { 2, 1, 10, 7, 5, 8, 9, 8, 5 },
+/* 211: 0, 1, 4, 6, 7, */ { 4, 5, 9, 3, 1, 11, 10, 11, 1 },
+/* 227: 0, 1, 5, 6, 7, */ { 8, 7, 4, 10, 3, 1, 3, 10, 11 },
+/* 61: 0, 2, 3, 4, 5, */ { 9, 1, 0, 11, 5, 7, 5, 11, 10 },
+/* 93: 0, 2, 3, 4, 6, */ { 6, 7, 11, 0, 5, 1, 5, 0, 4 },
+/* 109: 0, 2, 3, 5, 6, */ { 1, 0, 9, 6, 4, 11, 8, 11, 4 },
+/* 117: 0, 2, 4, 5, 6, */ { 9, 1, 0, 7, 3, 6, 2, 6, 3 },
+/* 213: 0, 2, 4, 6, 7, */ { 11, 3, 2, 5, 1, 4, 0, 4, 1 },
+/* 121: 0, 3, 4, 5, 6, */ { 11, 6, 7, 9, 2, 0, 2, 9, 10 },
+/* 233: 0, 3, 5, 6, 7, */ { 7, 4, 8, 2, 0, 10, 9, 10, 0 },
+/* 62: 1, 2, 3, 4, 5, */ { 0, 3, 8, 5, 7, 10, 11, 10, 7 },
+/* 158: 1, 2, 3, 4, 7, */ { 8, 0, 3, 10, 4, 6, 4, 10, 9 },
+/* 174: 1, 2, 3, 5, 7, */ { 5, 6, 10, 3, 4, 0, 4, 3, 7 },
+/* 182: 1, 2, 4, 5, 7, */ { 5, 6, 10, 0, 2, 8, 11, 8, 2 },
+/* 214: 1, 2, 4, 6, 7, */ { 9, 4, 5, 11, 0, 2, 0, 11, 8 },
+/* 186: 1, 3, 4, 5, 7, */ { 8, 0, 3, 6, 2, 5, 1, 5, 2 },
+/* 234: 1, 3, 5, 6, 7, */ { 10, 2, 1, 4, 0, 7, 3, 7, 0 },
+/* 124: 2, 3, 4, 5, 6, */ { 6, 7, 11, 1, 3, 9, 8, 9, 3 },
+/* 188: 2, 3, 4, 5, 7, */ { 10, 5, 6, 8, 1, 3, 1, 8, 9 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 6.1.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling6_1_2[48][27] = {
+ /* 67: 0, 1, 6, */ { 1, 12, 3, 12, 10, 3, 6, 3, 10, 3, 6, 8, 5, 8, 6, 8, 5, 12, 12, 9, 8, 1, 9, 12, 12, 5, 10 },
+ /* 131: 0, 1, 7, */ { 1, 12, 3, 1, 11, 12, 11, 1, 6, 9, 6, 1, 6, 9, 7, 12, 7, 9, 9, 8, 12, 12, 8, 3, 11, 7, 12 },
+ /* 21: 0, 2, 4, */ { 4, 12, 0, 4, 1, 12, 1, 4, 10, 7, 10, 4, 10, 7, 2, 12, 2, 7, 7, 3, 12, 12, 3, 0, 1, 2, 12 },
+ /* 69: 0, 2, 6, */ { 6, 12, 2, 6, 3, 12, 3, 6, 8, 5, 8, 6, 8, 5, 0, 12, 0, 5, 5, 1, 12, 12, 1, 2, 3, 0, 12 },
+ /* 41: 0, 3, 5, */ { 0, 12, 2, 12, 9, 2, 5, 2, 9, 2, 5, 11, 4, 11, 5, 11, 4, 12, 12, 8, 11, 0, 8, 12, 12, 4, 9 },
+ /* 73: 0, 3, 6, */ { 0, 12, 2, 0, 10, 12, 10, 0, 5, 8, 5, 0, 5, 8, 6, 12, 6, 8, 8, 11, 12, 12, 11, 2, 10, 6, 12 },
+ /* 81: 0, 4, 6, */ { 4, 12, 0, 12, 5, 0, 10, 0, 5, 0, 10, 3, 6, 3, 10, 3, 6, 12, 12, 7, 3, 4, 7, 12, 12, 6, 5 },
+ /* 97: 0, 5, 6, */ { 4, 12, 6, 12, 8, 6, 3, 6, 8, 6, 3, 10, 0, 10, 3, 10, 0, 12, 12, 9, 10, 4, 9, 12, 12, 0, 8 },
+ /* 193: 0, 6, 7, */ { 5, 12, 7, 5, 8, 12, 8, 5, 0, 10, 0, 5, 0, 10, 3, 12, 3, 10, 10, 11, 12, 12, 11, 7, 8, 3, 12 },
+ /* 22: 1, 2, 4, */ { 2, 12, 0, 2, 8, 12, 8, 2, 7, 10, 7, 2, 7, 10, 4, 12, 4, 10, 10, 9, 12, 12, 9, 0, 8, 4, 12 },
+ /* 134: 1, 2, 7, */ { 2, 12, 0, 12, 11, 0, 7, 0, 11, 0, 7, 9, 6, 9, 7, 9, 6, 12, 12, 10, 9, 2, 10, 12, 12, 6, 11 },
+ /* 42: 1, 3, 5, */ { 5, 12, 1, 5, 2, 12, 2, 5, 11, 4, 11, 5, 11, 4, 3, 12, 3, 4, 4, 0, 12, 12, 0, 1, 2, 3, 12 },
+ /* 138: 1, 3, 7, */ { 7, 12, 3, 7, 0, 12, 0, 7, 9, 6, 9, 7, 9, 6, 1, 12, 1, 6, 6, 2, 12, 12, 2, 3, 0, 1, 12 },
+ /* 146: 1, 4, 7, */ { 6, 12, 4, 6, 9, 12, 9, 6, 1, 11, 1, 6, 1, 11, 0, 12, 0, 11, 11, 8, 12, 12, 8, 4, 9, 0, 12 },
+ /* 162: 1, 5, 7, */ { 5, 12, 1, 12, 6, 1, 11, 1, 6, 1, 11, 0, 7, 0, 11, 0, 7, 12, 12, 4, 0, 5, 4, 12, 12, 7, 6 },
+ /* 194: 1, 6, 7, */ { 5, 12, 7, 12, 9, 7, 0, 7, 9, 7, 0, 11, 1, 11, 0, 11, 1, 12, 12, 10, 11, 5, 10, 12, 12, 1, 9 },
+ /* 28: 2, 3, 4, */ { 3, 12, 1, 12, 8, 1, 4, 1, 8, 1, 4, 10, 7, 10, 4, 10, 7, 12, 12, 11, 10, 3, 11, 12, 12, 7, 8 },
+ /* 44: 2, 3, 5, */ { 3, 12, 1, 3, 9, 12, 9, 3, 4, 11, 4, 3, 4, 11, 5, 12, 5, 11, 11, 10, 12, 12, 10, 1, 9, 5, 12 },
+ /* 52: 2, 4, 5, */ { 7, 12, 5, 7, 10, 12, 10, 7, 2, 8, 2, 7, 2, 8, 1, 12, 1, 8, 8, 9, 12, 12, 9, 5, 10, 1, 12 },
+ /* 84: 2, 4, 6, */ { 6, 12, 2, 12, 7, 2, 8, 2, 7, 2, 8, 1, 4, 1, 8, 1, 4, 12, 12, 5, 1, 6, 5, 12, 12, 4, 7 },
+ /* 148: 2, 4, 7, */ { 6, 12, 4, 12, 10, 4, 1, 4, 10, 4, 1, 8, 2, 8, 1, 8, 2, 12, 12, 11, 8, 6, 11, 12, 12, 2, 10 },
+ /* 56: 3, 4, 5, */ { 7, 12, 5, 12, 11, 5, 2, 5, 11, 5, 2, 9, 3, 9, 2, 9, 3, 12, 12, 8, 9, 7, 8, 12, 12, 3, 11 },
+ /* 104: 3, 5, 6, */ { 4, 12, 6, 4, 11, 12, 11, 4, 3, 9, 3, 4, 3, 9, 2, 12, 2, 9, 9, 10, 12, 12, 10, 6, 11, 2, 12 },
+ /* 168: 3, 5, 7, */ { 7, 12, 3, 12, 4, 3, 9, 3, 4, 3, 9, 2, 5, 2, 9, 2, 5, 12, 12, 6, 2, 7, 6, 12, 12, 5, 4 },
+ /* 87: 0, 1, 2, 4, 6, */ { 3, 12, 7, 3, 4, 12, 4, 3, 9, 2, 9, 3, 9, 2, 5, 12, 5, 2, 2, 6, 12, 12, 6, 7, 4, 5, 12 },
+ /* 151: 0, 1, 2, 4, 7, */ { 6, 12, 4, 12, 11, 4, 3, 4, 11, 4, 3, 9, 2, 9, 3, 9, 2, 12, 12, 10, 9, 6, 10, 12, 12, 2, 11 },
+ /* 199: 0, 1, 2, 6, 7, */ { 5, 12, 7, 5, 11, 12, 11, 5, 2, 9, 2, 5, 2, 9, 3, 12, 3, 9, 9, 8, 12, 12, 8, 7, 11, 3, 12 },
+ /* 107: 0, 1, 3, 5, 6, */ { 4, 12, 6, 4, 10, 12, 10, 4, 1, 8, 1, 4, 1, 8, 2, 12, 2, 8, 8, 11, 12, 12, 11, 6, 10, 2, 12 },
+ /* 171: 0, 1, 3, 5, 7, */ { 2, 12, 6, 2, 7, 12, 7, 2, 8, 1, 8, 2, 8, 1, 4, 12, 4, 1, 1, 5, 12, 12, 5, 6, 7, 4, 12 },
+ /* 203: 0, 1, 3, 6, 7, */ { 5, 12, 7, 12, 10, 7, 2, 7, 10, 7, 2, 8, 1, 8, 2, 8, 1, 12, 12, 9, 8, 5, 9, 12, 12, 1, 10 },
+ /* 211: 0, 1, 4, 6, 7, */ { 1, 12, 3, 12, 9, 3, 4, 3, 9, 3, 4, 11, 5, 11, 4, 11, 5, 12, 12, 10, 11, 1, 10, 12, 12, 5, 9 },
+ /* 227: 0, 1, 5, 6, 7, */ { 1, 12, 3, 1, 8, 12, 8, 1, 4, 10, 4, 1, 4, 10, 7, 12, 7, 10, 10, 11, 12, 12, 11, 3, 8, 7, 12 },
+ /* 61: 0, 2, 3, 4, 5, */ { 7, 12, 5, 7, 9, 12, 9, 7, 0, 11, 0, 7, 0, 11, 1, 12, 1, 11, 11, 10, 12, 12, 10, 5, 9, 1, 12 },
+ /* 93: 0, 2, 3, 4, 6, */ { 1, 12, 5, 1, 6, 12, 6, 1, 11, 0, 11, 1, 11, 0, 7, 12, 7, 0, 0, 4, 12, 12, 4, 5, 6, 7, 12 },
+ /* 109: 0, 2, 3, 5, 6, */ { 4, 12, 6, 12, 9, 6, 1, 6, 9, 6, 1, 11, 0, 11, 1, 11, 0, 12, 12, 8, 11, 4, 8, 12, 12, 0, 9 },
+ /* 117: 0, 2, 4, 5, 6, */ { 3, 12, 7, 12, 0, 7, 9, 7, 0, 7, 9, 6, 1, 6, 9, 6, 1, 12, 12, 2, 6, 3, 2, 12, 12, 1, 0 },
+ /* 213: 0, 2, 4, 6, 7, */ { 1, 12, 5, 12, 2, 5, 11, 5, 2, 5, 11, 4, 3, 4, 11, 4, 3, 12, 12, 0, 4, 1, 0, 12, 12, 3, 2 },
+ /* 121: 0, 3, 4, 5, 6, */ { 0, 12, 2, 0, 11, 12, 11, 0, 7, 9, 7, 0, 7, 9, 6, 12, 6, 9, 9, 10, 12, 12, 10, 2, 11, 6, 12 },
+ /* 233: 0, 3, 5, 6, 7, */ { 0, 12, 2, 12, 8, 2, 7, 2, 8, 2, 7, 10, 4, 10, 7, 10, 4, 12, 12, 9, 10, 0, 9, 12, 12, 4, 8 },
+ /* 62: 1, 2, 3, 4, 5, */ { 7, 12, 5, 12, 8, 5, 0, 5, 8, 5, 0, 10, 3, 10, 0, 10, 3, 12, 12, 11, 10, 7, 11, 12, 12, 3, 8 },
+ /* 158: 1, 2, 3, 4, 7, */ { 6, 12, 4, 6, 8, 12, 8, 6, 3, 10, 3, 6, 3, 10, 0, 12, 0, 10, 10, 9, 12, 12, 9, 4, 8, 0, 12 },
+ /* 174: 1, 2, 3, 5, 7, */ { 0, 12, 4, 0, 5, 12, 5, 0, 10, 3, 10, 0, 10, 3, 6, 12, 6, 3, 3, 7, 12, 12, 7, 4, 5, 6, 12 },
+ /* 182: 1, 2, 4, 5, 7, */ { 2, 12, 0, 12, 10, 0, 5, 0, 10, 0, 5, 8, 6, 8, 5, 8, 6, 12, 12, 11, 8, 2, 11, 12, 12, 6, 10 },
+ /* 214: 1, 2, 4, 6, 7, */ { 2, 12, 0, 2, 9, 12, 9, 2, 5, 11, 5, 2, 5, 11, 4, 12, 4, 11, 11, 8, 12, 12, 8, 0, 9, 4, 12 },
+ /* 186: 1, 3, 4, 5, 7, */ { 2, 12, 6, 12, 3, 6, 8, 6, 3, 6, 8, 5, 0, 5, 8, 5, 0, 12, 12, 1, 5, 2, 1, 12, 12, 0, 3 },
+ /* 234: 1, 3, 5, 6, 7, */ { 0, 12, 4, 12, 1, 4, 10, 4, 1, 4, 10, 7, 2, 7, 10, 7, 2, 12, 12, 3, 7, 0, 3, 12, 12, 2, 1 },
+ /* 124: 2, 3, 4, 5, 6, */ { 3, 12, 1, 12, 11, 1, 6, 1, 11, 1, 6, 9, 7, 9, 6, 9, 7, 12, 12, 8, 9, 3, 8, 12, 12, 7, 11 },
+ /* 188: 2, 3, 4, 5, 7, */ { 3, 12, 1, 3, 10, 12, 10, 3, 6, 8, 6, 3, 6, 8, 5, 12, 5, 8, 8, 9, 12, 12, 9, 1, 10, 5, 12 },
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 6.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling6_2[48][15] = {
+/* 67: 0, 1, 6, */ { 1, 10, 3, 6, 3, 10, 3, 6, 8, 5, 8, 6, 8, 5, 9 },
+/* 131: 0, 1, 7, */ { 1, 11, 3, 11, 1, 6, 9, 6, 1, 6, 9, 7, 8, 7, 9 },
+/* 21: 0, 2, 4, */ { 4, 1, 0, 1, 4, 10, 7, 10, 4, 10, 7, 2, 3, 2, 7 },
+/* 69: 0, 2, 6, */ { 6, 3, 2, 3, 6, 8, 5, 8, 6, 8, 5, 0, 1, 0, 5 },
+/* 41: 0, 3, 5, */ { 0, 9, 2, 5, 2, 9, 2, 5, 11, 4, 11, 5, 11, 4, 8 },
+/* 73: 0, 3, 6, */ { 0, 10, 2, 10, 0, 5, 8, 5, 0, 5, 8, 6, 11, 6, 8 },
+/* 81: 0, 4, 6, */ { 4, 5, 0, 10, 0, 5, 0, 10, 3, 6, 3, 10, 3, 6, 7 },
+/* 97: 0, 5, 6, */ { 4, 8, 6, 3, 6, 8, 6, 3, 10, 0, 10, 3, 10, 0, 9 },
+/* 193: 0, 6, 7, */ { 5, 8, 7, 8, 5, 0, 10, 0, 5, 0, 10, 3, 11, 3, 10 },
+/* 22: 1, 2, 4, */ { 2, 8, 0, 8, 2, 7, 10, 7, 2, 7, 10, 4, 9, 4, 10 },
+/* 134: 1, 2, 7, */ { 2, 11, 0, 7, 0, 11, 0, 7, 9, 6, 9, 7, 9, 6, 10 },
+/* 42: 1, 3, 5, */ { 5, 2, 1, 2, 5, 11, 4, 11, 5, 11, 4, 3, 0, 3, 4 },
+/* 138: 1, 3, 7, */ { 7, 0, 3, 0, 7, 9, 6, 9, 7, 9, 6, 1, 2, 1, 6 },
+/* 146: 1, 4, 7, */ { 6, 9, 4, 9, 6, 1, 11, 1, 6, 1, 11, 0, 8, 0, 11 },
+/* 162: 1, 5, 7, */ { 5, 6, 1, 11, 1, 6, 1, 11, 0, 7, 0, 11, 0, 7, 4 },
+/* 194: 1, 6, 7, */ { 5, 9, 7, 0, 7, 9, 7, 0, 11, 1, 11, 0, 11, 1, 10 },
+/* 28: 2, 3, 4, */ { 3, 8, 1, 4, 1, 8, 1, 4, 10, 7, 10, 4, 10, 7, 11 },
+/* 44: 2, 3, 5, */ { 3, 9, 1, 9, 3, 4, 11, 4, 3, 4, 11, 5, 10, 5, 11 },
+/* 52: 2, 4, 5, */ { 7, 10, 5, 10, 7, 2, 8, 2, 7, 2, 8, 1, 9, 1, 8 },
+/* 84: 2, 4, 6, */ { 6, 7, 2, 8, 2, 7, 2, 8, 1, 4, 1, 8, 1, 4, 5 },
+/* 148: 2, 4, 7, */ { 6, 10, 4, 1, 4, 10, 4, 1, 8, 2, 8, 1, 8, 2, 11 },
+/* 56: 3, 4, 5, */ { 7, 11, 5, 2, 5, 11, 5, 2, 9, 3, 9, 2, 9, 3, 8 },
+/* 104: 3, 5, 6, */ { 4, 11, 6, 11, 4, 3, 9, 3, 4, 3, 9, 2, 10, 2, 9 },
+/* 168: 3, 5, 7, */ { 7, 4, 3, 9, 3, 4, 3, 9, 2, 5, 2, 9, 2, 5, 6 },
+/* 87: 0, 1, 2, 4, 6, */ { 3, 4, 7, 4, 3, 9, 2, 9, 3, 9, 2, 5, 6, 5, 2 },
+/* 151: 0, 1, 2, 4, 7, */ { 6, 11, 4, 3, 4, 11, 4, 3, 9, 2, 9, 3, 9, 2, 10 },
+/* 199: 0, 1, 2, 6, 7, */ { 5, 11, 7, 11, 5, 2, 9, 2, 5, 2, 9, 3, 8, 3, 9 },
+/* 107: 0, 1, 3, 5, 6, */ { 4, 10, 6, 10, 4, 1, 8, 1, 4, 1, 8, 2, 11, 2, 8 },
+/* 171: 0, 1, 3, 5, 7, */ { 2, 7, 6, 7, 2, 8, 1, 8, 2, 8, 1, 4, 5, 4, 1 },
+/* 203: 0, 1, 3, 6, 7, */ { 5, 10, 7, 2, 7, 10, 7, 2, 8, 1, 8, 2, 8, 1, 9 },
+/* 211: 0, 1, 4, 6, 7, */ { 1, 9, 3, 4, 3, 9, 3, 4, 11, 5, 11, 4, 11, 5, 10 },
+/* 227: 0, 1, 5, 6, 7, */ { 1, 8, 3, 8, 1, 4, 10, 4, 1, 4, 10, 7, 11, 7, 10 },
+/* 61: 0, 2, 3, 4, 5, */ { 7, 9, 5, 9, 7, 0, 11, 0, 7, 0, 11, 1, 10, 1, 11 },
+/* 93: 0, 2, 3, 4, 6, */ { 1, 6, 5, 6, 1, 11, 0, 11, 1, 11, 0, 7, 4, 7, 0 },
+/* 109: 0, 2, 3, 5, 6, */ { 4, 9, 6, 1, 6, 9, 6, 1, 11, 0, 11, 1, 11, 0, 8 },
+/* 117: 0, 2, 4, 5, 6, */ { 3, 0, 7, 9, 7, 0, 7, 9, 6, 1, 6, 9, 6, 1, 2 },
+/* 213: 0, 2, 4, 6, 7, */ { 1, 2, 5, 11, 5, 2, 5, 11, 4, 3, 4, 11, 4, 3, 0 },
+/* 121: 0, 3, 4, 5, 6, */ { 0, 11, 2, 11, 0, 7, 9, 7, 0, 7, 9, 6, 10, 6, 9 },
+/* 233: 0, 3, 5, 6, 7, */ { 0, 8, 2, 7, 2, 8, 2, 7, 10, 4, 10, 7, 10, 4, 9 },
+/* 62: 1, 2, 3, 4, 5, */ { 7, 8, 5, 0, 5, 8, 5, 0, 10, 3, 10, 0, 10, 3, 11 },
+/* 158: 1, 2, 3, 4, 7, */ { 6, 8, 4, 8, 6, 3, 10, 3, 6, 3, 10, 0, 9, 0, 10 },
+/* 174: 1, 2, 3, 5, 7, */ { 0, 5, 4, 5, 0, 10, 3, 10, 0, 10, 3, 6, 7, 6, 3 },
+/* 182: 1, 2, 4, 5, 7, */ { 2, 10, 0, 5, 0, 10, 0, 5, 8, 6, 8, 5, 8, 6, 11 },
+/* 214: 1, 2, 4, 6, 7, */ { 2, 9, 0, 9, 2, 5, 11, 5, 2, 5, 11, 4, 8, 4, 11 },
+/* 186: 1, 3, 4, 5, 7, */ { 2, 3, 6, 8, 6, 3, 6, 8, 5, 0, 5, 8, 5, 0, 1 },
+/* 234: 1, 3, 5, 6, 7, */ { 0, 1, 4, 10, 4, 1, 4, 10, 7, 2, 7, 10, 7, 2, 3 },
+/* 124: 2, 3, 4, 5, 6, */ { 3, 11, 1, 6, 1, 11, 1, 6, 9, 7, 9, 6, 9, 7, 8 },
+/* 188: 2, 3, 4, 5, 7, */ { 3, 10, 1, 10, 3, 6, 8, 6, 3, 6, 8, 5, 9, 5, 8 }
+};
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 7
+ * 3 faces to test + eventually the interior
+ * When the tests on the 3 specified faces are positive :
+ * - if the test on the interior is positive : 5 first triangles
+ * - if the test on the interior is negative : 9 next triangles
+ * When the tests on the first and the second specified faces are positive : 9 next triangles
+ * When the tests on the first and the third specified faces are positive : 9 next triangles
+ * When the tests on the second and the third specified faces are positive : 9 next triangles
+ * When the test on the first specified face is positive : 5 next triangles
+ * When the test on the second specified face is positive : 5 next triangles
+ * When the test on the third specified face is positive : 5 next triangles
+ * When the tests on the 3 specified faces are negative : 3 last triangles
+ * The support edge for the interior test is marked as the 5th column.
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char test7[16][5] = {
+/* 37: 0, 2, 5, */ { 1, 2, 5, 7, 1 },
+/* 133: 0, 2, 7, */ { 3, 4, 5, 7, 3 },
+/* 161: 0, 5, 7, */ { 4, 1, 6, 7, 4 },
+/* 26: 1, 3, 4, */ { 4, 1, 5, 7, 0 },
+/* 74: 1, 3, 6, */ { 2, 3, 5, 7, 2 },
+/* 82: 1, 4, 6, */ { 1, 2, 6, 7, 5 },
+/* 164: 2, 5, 7, */ { 2, 3, 6, 7, 6 },
+/* 88: 3, 4, 6, */ { 3, 4, 6, 7, 7 },
+/* 167: 0, 1, 2, 5, 7, */ { -3, -4, -6, -7, 7 },
+/* 91: 0, 1, 3, 4, 6, */ { -2, -3, -6, -7, 6 },
+/* 173: 0, 2, 3, 5, 7, */ { -1, -2, -6, -7, 5 },
+/* 181: 0, 2, 4, 5, 7, */ { -2, -3, -5, -7, 2 },
+/* 229: 0, 2, 5, 6, 7, */ { -4, -1, -5, -7, 0 },
+/* 94: 1, 2, 3, 4, 6, */ { -4, -1, -6, -7, 4 },
+/* 122: 1, 3, 4, 5, 6, */ { -3, -4, -5, -7, 3 },
+/* 218: 1, 3, 4, 6, 7, */ { -1, -2, -5, -7, 1 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 7.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling7_1[16][9] = {
+/* 37: 0, 2, 5, */ { 9, 5, 4, 10, 1, 2, 8, 3, 0 },
+/* 133: 0, 2, 7, */ { 11, 7, 6, 8, 3, 0, 10, 1, 2 },
+/* 161: 0, 5, 7, */ { 3, 0, 8, 5, 4, 9, 7, 6, 11 },
+/* 26: 1, 3, 4, */ { 8, 4, 7, 9, 0, 1, 11, 2, 3 },
+/* 74: 1, 3, 6, */ { 10, 6, 5, 11, 2, 3, 9, 0, 1 },
+/* 82: 1, 4, 6, */ { 0, 1, 9, 6, 5, 10, 4, 7, 8 },
+/* 164: 2, 5, 7, */ { 1, 2, 10, 7, 6, 11, 5, 4, 9 },
+/* 88: 3, 4, 6, */ { 2, 3, 11, 4, 7, 8, 6, 5, 10 },
+/* 167: 0, 1, 2, 5, 7, */ { 11, 3, 2, 8, 7, 4, 10, 5, 6 },
+/* 91: 0, 1, 3, 4, 6, */ { 10, 2, 1, 11, 6, 7, 9, 4, 5 },
+/* 173: 0, 2, 3, 5, 7, */ { 9, 1, 0, 10, 5, 6, 8, 7, 4 },
+/* 181: 0, 2, 4, 5, 7, */ { 5, 6, 10, 3, 2, 11, 1, 0, 9 },
+/* 229: 0, 2, 5, 6, 7, */ { 7, 4, 8, 1, 0, 9, 3, 2, 11 },
+/* 94: 1, 2, 3, 4, 6, */ { 8, 0, 3, 9, 4, 5, 11, 6, 7 },
+/* 122: 1, 3, 4, 5, 6, */ { 6, 7, 11, 0, 3, 8, 2, 1, 10 },
+/* 218: 1, 3, 4, 6, 7, */ { 4, 5, 9, 2, 1, 10, 0, 3, 8 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 7.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling7_2[16][3][15] = {
+/* 37: 0, 2, 5, */ {
+ /* 1,0 */ { 1, 2, 10, 3, 4, 8, 4, 3, 5, 0, 5, 3, 5, 0, 9 },
+ /* 0,1 */ { 3, 0, 8, 9, 1, 4, 2, 4, 1, 4, 2, 5, 10, 5, 2 },
+ /* 1,1 */ { 9, 5, 4, 0, 10, 1, 10, 0, 8, 10, 8, 2, 3, 2, 8 }
+},
+/* 133: 0, 2, 7, */ {
+ /* 1,0 */ { 3, 0, 8, 1, 6, 10, 6, 1, 7, 2, 7, 1, 7, 2, 11 },
+ /* 0,1 */ { 1, 2, 10, 11, 3, 6, 0, 6, 3, 6, 0, 7, 8, 7, 0 },
+ /* 1,1 */ { 11, 7, 6, 2, 8, 3, 8, 2, 10, 8, 10, 0, 1, 0, 10 }
+},
+/* 161: 0, 5, 7, */ {
+ /* 1,0 */ { 9, 5, 4, 11, 3, 6, 0, 6, 3, 6, 0, 7, 8, 7, 0 },
+ /* 0,1 */ { 11, 7, 6, 3, 4, 8, 4, 3, 5, 0, 5, 3, 5, 0, 9 },
+ /* 1,1 */ { 3, 0, 8, 4, 9, 7, 11, 7, 9, 5, 11, 9, 11, 5, 6 }
+},
+/* 26: 1, 3, 4, */ {
+ /* 1,0 */ { 0, 1, 9, 2, 7, 11, 7, 2, 4, 3, 4, 2, 4, 3, 8 },
+ /* 0,1 */ { 2, 3, 11, 8, 0, 7, 1, 7, 0, 7, 1, 4, 9, 4, 1 },
+ /* 1,1 */ { 8, 4, 7, 3, 9, 0, 9, 3, 11, 9, 11, 1, 2, 1, 11 }
+},
+/* 74: 1, 3, 6, */ {
+ /* 1,0 */ { 2, 3, 11, 0, 5, 9, 5, 0, 6, 1, 6, 0, 6, 1, 10 },
+ /* 0,1 */ { 0, 1, 9, 10, 2, 5, 3, 5, 2, 5, 3, 6, 11, 6, 3 },
+ /* 1,1 */ { 6, 5, 10, 1, 11, 2, 11, 1, 9, 11, 9, 3, 0, 3, 9 }
+},
+/* 82: 1, 4, 6, */ {
+ /* 1,0 */ { 6, 5, 10, 8, 0, 7, 1, 7, 0, 7, 1, 4, 9, 4, 1 },
+ /* 0,1 */ { 8, 4, 7, 0, 5, 9, 5, 0, 6, 1, 6, 0, 6, 1, 10 },
+ /* 1,1 */ { 0, 1, 9, 5, 10, 4, 8, 4, 10, 6, 8, 10, 8, 6, 7 }
+},
+/* 164: 2, 5, 7, */ {
+ /* 1,0 */ { 11, 7, 6, 9, 1, 4, 2, 4, 1, 4, 2, 5, 10, 5, 2 },
+ /* 0,1 */ { 9, 5, 4, 1, 6, 10, 6, 1, 7, 2, 7, 1, 7, 2, 11 },
+ /* 1,1 */ { 1, 2, 10, 6, 11, 5, 9, 5, 11, 7, 9, 11, 9, 7, 4 }
+},
+/* 88: 3, 4, 6, */ {
+ /* 1,0 */ { 8, 4, 7, 10, 2, 5, 3, 5, 2, 5, 3, 6, 11, 6, 3 },
+ /* 0,1 */ { 6, 5, 10, 2, 7, 11, 7, 2, 4, 3, 4, 2, 4, 3, 8 },
+ /* 1,1 */ { 2, 3, 11, 7, 8, 6, 10, 6, 8, 4, 10, 8, 10, 4, 5 }
+},
+/* 167: 0, 1, 2, 5, 7, */ {
+ /* 1,0 */ { 7, 4, 8, 5, 2, 10, 2, 5, 3, 6, 3, 5, 3, 6, 11 },
+ /* 0,1 */ { 10, 5, 6, 11, 7, 2, 4, 2, 7, 2, 4, 3, 8, 3, 4 },
+ /* 1,1 */ { 11, 3, 2, 6, 8, 7, 8, 6, 10, 8, 10, 4, 5, 4, 10 }
+},
+/* 91: 0, 1, 3, 4, 6, */ {
+ /* 1,0 */ { 6, 7, 11, 4, 1, 9, 1, 4, 2, 5, 2, 4, 2, 5, 10 },
+ /* 0,1 */ { 4, 5, 9, 10, 6, 1, 7, 1, 6, 1, 7, 2, 11, 2, 7 },
+ /* 1,1 */ { 10, 2, 1, 5, 11, 6, 11, 5, 9, 11, 9, 7, 4, 7, 9 }
+},
+/* 173: 0, 2, 3, 5, 7, */ {
+ /* 1,0 */ { 10, 5, 6, 7, 0, 8, 0, 7, 1, 4, 1, 7, 1, 4, 9 },
+ /* 0,1 */ { 7, 4, 8, 9, 5, 0, 6, 0, 5, 0, 6, 1, 10, 1, 6 },
+ /* 1,1 */ { 9, 1, 0, 4, 10, 5, 10, 4, 8, 10, 8, 6, 7, 6, 8 }
+},
+/* 181: 0, 2, 4, 5, 7, */ {
+ /* 1,0 */ { 11, 3, 2, 9, 5, 0, 6, 0, 5, 0, 6, 1, 10, 1, 6 },
+ /* 0,1 */ { 9, 1, 0, 5, 2, 10, 2, 5, 3, 6, 3, 5, 3, 6, 11 },
+ /* 1,1 */ { 10, 5, 6, 2, 11, 1, 9, 1, 11, 3, 9, 11, 9, 3, 0 }
+},
+/* 229: 0, 2, 5, 6, 7, */ {
+ /* 1,0 */ { 9, 1, 0, 11, 7, 2, 4, 2, 7, 2, 4, 3, 8, 3, 4 },
+ /* 0,1 */ { 11, 3, 2, 7, 0, 8, 0, 7, 1, 4, 1, 7, 1, 4, 9 },
+ /* 1,1 */ { 7, 4, 8, 0, 9, 3, 11, 3, 9, 1, 11, 9, 11, 1, 2 }
+},
+/* 94: 1, 2, 3, 4, 6, */ {
+ /* 1,0 */ { 4, 5, 9, 6, 3, 11, 3, 6, 0, 7, 0, 6, 0, 7, 8 },
+ /* 0,1 */ { 6, 7, 11, 8, 4, 3, 5, 3, 4, 3, 5, 0, 9, 0, 5 },
+ /* 1,1 */ { 8, 0, 3, 7, 9, 4, 9, 7, 11, 9, 11, 5, 6, 5, 11 }
+},
+/* 122: 1, 3, 4, 5, 6, */ {
+ /* 1,0 */ { 8, 0, 3, 10, 6, 1, 7, 1, 6, 1, 7, 2, 11, 2, 7 },
+ /* 0,1 */ { 10, 2, 1, 6, 3, 11, 3, 6, 0, 7, 0, 6, 0, 7, 8 },
+ /* 1,1 */ { 6, 7, 11, 3, 8, 2, 10, 2, 8, 0, 10, 8, 10, 0, 1 }
+},
+/* 218: 1, 3, 4, 6, 7, */ {
+ /* 1,0 */ { 10, 2, 1, 8, 4, 3, 5, 3, 4, 3, 5, 0, 9, 0, 5 },
+ /* 0,1 */ { 8, 0, 3, 4, 1, 9, 1, 4, 2, 5, 2, 4, 2, 5, 10 },
+ /* 1,1 */ { 4, 5, 9, 1, 10, 0, 8, 0, 10, 2, 8, 10, 8, 2, 3 } }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 7.3
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling7_3[16][3][27] = {
+/* 37: 0, 2, 5, */ {
+ /* 1,0 */ { 12, 2, 10, 12, 10, 5, 12, 5, 4, 12, 4, 8, 12, 8, 3, 12, 3, 0, 12, 0, 9, 12, 9, 1, 12, 1, 2 },
+ /* 0,1 */ { 12, 5, 4, 12, 4, 8, 12, 8, 3, 12, 3, 2, 12, 2, 10, 12, 10, 1, 12, 1, 0, 12, 0, 9, 12, 9, 5 },
+ /* 1,1 */ { 5, 4, 12, 10, 5, 12, 2, 10, 12, 3, 2, 12, 8, 3, 12, 0, 8, 12, 1, 0, 12, 9, 1, 12, 4, 9, 12 }
+},
+/* 133: 0, 2, 7, */ {
+ /* 1,0 */ { 12, 0, 8, 12, 8, 7, 12, 7, 6, 12, 6, 10, 12, 10, 1, 12, 1, 2, 12, 2, 11, 12, 11, 3, 12, 3, 0 },
+ /* 0,1 */ { 12, 7, 6, 12, 6, 10, 12, 10, 1, 12, 1, 0, 12, 0, 8, 12, 8, 3, 12, 3, 2, 12, 2, 11, 12, 11, 7 },
+ /* 1,1 */ { 7, 6, 12, 8, 7, 12, 0, 8, 12, 1, 0, 12, 10, 1, 12, 2, 10, 12, 3, 2, 12, 11, 3, 12, 6, 11, 12 }
+},
+/* 161: 0, 5, 7, */ {
+ /* 1,0 */ { 9, 5, 12, 0, 9, 12, 3, 0, 12, 11, 3, 12, 6, 11, 12, 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12 },
+ /* 0,1 */ { 3, 0, 12, 11, 3, 12, 6, 11, 12, 5, 6, 12, 9, 5, 12, 4, 9, 12, 7, 4, 12, 8, 7, 12, 0, 8, 12 },
+ /* 1,1 */ { 12, 3, 0, 12, 0, 9, 12, 9, 5, 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4, 12, 4, 8, 12, 8, 3 }
+},
+/* 26: 1, 3, 4, */ {
+ /* 1,0 */ { 12, 1, 9, 12, 9, 4, 12, 4, 7, 12, 7, 11, 12, 11, 2, 12, 2, 3, 12, 3, 8, 12, 8, 0, 12, 0, 1 },
+ /* 0,1 */ { 12, 4, 7, 12, 7, 11, 12, 11, 2, 12, 2, 1, 12, 1, 9, 12, 9, 0, 12, 0, 3, 12, 3, 8, 12, 8, 4 },
+ /* 1,1 */ { 4, 7, 12, 9, 4, 12, 1, 9, 12, 2, 1, 12, 11, 2, 12, 3, 11, 12, 0, 3, 12, 8, 0, 12, 7, 8, 12 }
+},
+/* 74: 1, 3, 6, */ {
+ /* 1,0 */ { 12, 3, 11, 12, 11, 6, 12, 6, 5, 12, 5, 9, 12, 9, 0, 12, 0, 1, 12, 1, 10, 12, 10, 2, 12, 2, 3 },
+ /* 0,1 */ { 12, 6, 5, 12, 5, 9, 12, 9, 0, 12, 0, 3, 12, 3, 11, 12, 11, 2, 12, 2, 1, 12, 1, 10, 12, 10, 6 },
+ /* 1,1 */ { 6, 5, 12, 11, 6, 12, 3, 11, 12, 0, 3, 12, 9, 0, 12, 1, 9, 12, 2, 1, 12, 10, 2, 12, 5, 10, 12 }
+},
+/* 82: 1, 4, 6, */ {
+ /* 1,0 */ { 10, 6, 12, 1, 10, 12, 0, 1, 12, 8, 0, 12, 7, 8, 12, 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12 },
+ /* 0,1 */ { 0, 1, 12, 8, 0, 12, 7, 8, 12, 6, 7, 12, 10, 6, 12, 5, 10, 12, 4, 5, 12, 9, 4, 12, 1, 9, 12 },
+ /* 1,1 */ { 12, 0, 1, 12, 1, 10, 12, 10, 6, 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5, 12, 5, 9, 12, 9, 0 }
+},
+/* 164: 2, 5, 7, */ {
+ /* 1,0 */ { 11, 7, 12, 2, 11, 12, 1, 2, 12, 9, 1, 12, 4, 9, 12, 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12 },
+ /* 0,1 */ { 1, 2, 12, 9, 1, 12, 4, 9, 12, 7, 4, 12, 11, 7, 12, 6, 11, 12, 5, 6, 12, 10, 5, 12, 2, 10, 12 },
+ /* 1,1 */ { 12, 1, 2, 12, 2, 11, 12, 11, 7, 12, 7, 4, 12, 4, 9, 12, 9, 5, 12, 5, 6, 12, 6, 10, 12, 10, 1 }
+},
+/* 88: 3, 4, 6, */ {
+ /* 1,0 */ { 8, 4, 12, 3, 8, 12, 2, 3, 12, 10, 2, 12, 5, 10, 12, 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12 },
+ /* 0,1 */ { 2, 3, 12, 10, 2, 12, 5, 10, 12, 4, 5, 12, 8, 4, 12, 7, 8, 12, 6, 7, 12, 11, 6, 12, 3, 11, 12 },
+ /* 1,1 */ { 12, 2, 3, 12, 3, 8, 12, 8, 4, 12, 4, 5, 12, 5, 10, 12, 10, 6, 12, 6, 7, 12, 7, 11, 12, 11, 2 }
+},
+/* 167: 0, 1, 2, 5, 7, */ {
+ /* 1,0 */ { 12, 4, 8, 12, 8, 3, 12, 3, 2, 12, 2, 10, 12, 10, 5, 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4 },
+ /* 0,1 */ { 12, 3, 2, 12, 2, 10, 12, 10, 5, 12, 5, 4, 12, 4, 8, 12, 8, 7, 12, 7, 6, 12, 6, 11, 12, 11, 3 },
+ /* 1,1 */ { 3, 2, 12, 8, 3, 12, 4, 8, 12, 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12, 11, 7, 12, 2, 11, 12 }
+},
+/* 91: 0, 1, 3, 4, 6, */ {
+ /* 1,0 */ { 12, 7, 11, 12, 11, 2, 12, 2, 1, 12, 1, 9, 12, 9, 4, 12, 4, 5, 12, 5, 10, 12, 10, 6, 12, 6, 7 },
+ /* 0,1 */ { 12, 2, 1, 12, 1, 9, 12, 9, 4, 12, 4, 7, 12, 7, 11, 12, 11, 6, 12, 6, 5, 12, 5, 10, 12, 10, 2 },
+ /* 1,1 */ { 2, 1, 12, 11, 2, 12, 7, 11, 12, 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12, 10, 6, 12, 1, 10, 12 }
+},
+/* 173: 0, 2, 3, 5, 7, */ {
+ /* 1,0 */ { 12, 6, 10, 12, 10, 1, 12, 1, 0, 12, 0, 8, 12, 8, 7, 12, 7, 4, 12, 4, 9, 12, 9, 5, 12, 5, 6 },
+ /* 0,1 */ { 12, 1, 0, 12, 0, 8, 12, 8, 7, 12, 7, 6, 12, 6, 10, 12, 10, 5, 12, 5, 4, 12, 4, 9, 12, 9, 1 },
+ /* 1,1 */ { 1, 0, 12, 10, 1, 12, 6, 10, 12, 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12, 9, 5, 12, 0, 9, 12 }
+},
+/* 181: 0, 2, 4, 5, 7, */ {
+ /* 1,0 */ { 11, 3, 12, 6, 11, 12, 5, 6, 12, 9, 5, 12, 0, 9, 12, 1, 0, 12, 10, 1, 12, 2, 10, 12, 3, 2, 12 },
+ /* 0,1 */ { 5, 6, 12, 9, 5, 12, 0, 9, 12, 3, 0, 12, 11, 3, 12, 2, 11, 12, 1, 2, 12, 10, 1, 12, 6, 10, 12 },
+ /* 1,1 */ { 12, 5, 6, 12, 6, 11, 12, 11, 3, 12, 3, 0, 12, 0, 9, 12, 9, 1, 12, 1, 2, 12, 2, 10, 12, 10, 5 }
+},
+/* 229: 0, 2, 5, 6, 7, */ {
+ /* 1,0 */ { 9, 1, 12, 4, 9, 12, 7, 4, 12, 11, 7, 12, 2, 11, 12, 3, 2, 12, 8, 3, 12, 0, 8, 12, 1, 0, 12 },
+ /* 0,1 */ { 7, 4, 12, 11, 7, 12, 2, 11, 12, 1, 2, 12, 9, 1, 12, 0, 9, 12, 3, 0, 12, 8, 3, 12, 4, 8, 12 },
+ /* 1,1 */ { 12, 7, 4, 12, 4, 9, 12, 9, 1, 12, 1, 2, 12, 2, 11, 12, 11, 3, 12, 3, 0, 12, 0, 8, 12, 8, 7 }
+},
+/* 94: 1, 2, 3, 4, 6, */ {
+ /* 1,0 */ { 12, 5, 9, 12, 9, 0, 12, 0, 3, 12, 3, 11, 12, 11, 6, 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5 },
+ /* 0,1 */ { 12, 0, 3, 12, 3, 11, 12, 11, 6, 12, 6, 5, 12, 5, 9, 12, 9, 4, 12, 4, 7, 12, 7, 8, 12, 8, 0 },
+ /* 1,1 */ { 0, 3, 12, 9, 0, 12, 5, 9, 12, 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12, 8, 4, 12, 3, 8, 12 }
+},
+/* 122: 1, 3, 4, 5, 6, */ {
+ /* 1,0 */ { 8, 0, 12, 7, 8, 12, 6, 7, 12, 10, 6, 12, 1, 10, 12, 2, 1, 12, 11, 2, 12, 3, 11, 12, 0, 3, 12 },
+ /* 0,1 */ { 6, 7, 12, 10, 6, 12, 1, 10, 12, 0, 1, 12, 8, 0, 12, 3, 8, 12, 2, 3, 12, 11, 2, 12, 7, 11, 12 },
+ /* 1,1 */ { 12, 6, 7, 12, 7, 8, 12, 8, 0, 12, 0, 1, 12, 1, 10, 12, 10, 2, 12, 2, 3, 12, 3, 11, 12, 11, 6 }
+},
+/* 218: 1, 3, 4, 6, 7, */ {
+ /* 1,0 */ { 10, 2, 12, 5, 10, 12, 4, 5, 12, 8, 4, 12, 3, 8, 12, 0, 3, 12, 9, 0, 12, 1, 9, 12, 2, 1, 12 },
+ /* 0,1 */ { 4, 5, 12, 8, 4, 12, 3, 8, 12, 2, 3, 12, 10, 2, 12, 1, 10, 12, 0, 1, 12, 9, 0, 12, 5, 9, 12 },
+ /* 1,1 */ { 12, 4, 5, 12, 5, 10, 12, 10, 2, 12, 2, 3, 12, 3, 8, 12, 8, 0, 12, 0, 1, 12, 1, 9, 12, 9, 4 } }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 7.4.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling7_4_1[16][15] = {
+/* 37: 0, 2, 5, */ { 3, 4, 8, 4, 3, 10, 2, 10, 3, 4, 10, 5, 9, 1, 0 },
+/* 133: 0, 2, 7, */ { 1, 6, 10, 6, 1, 8, 0, 8, 1, 6, 8, 7, 11, 3, 2 },
+/* 161: 0, 5, 7, */ { 11, 3, 6, 9, 6, 3, 6, 9, 5, 0, 9, 3, 7, 4, 8 },
+/* 26: 1, 3, 4, */ { 2, 7, 11, 7, 2, 9, 1, 9, 2, 7, 9, 4, 8, 0, 3 },
+/* 74: 1, 3, 6, */ { 0, 5, 9, 5, 0, 11, 3, 11, 0, 5, 11, 6, 10, 2, 1 },
+/* 82: 1, 4, 6, */ { 8, 0, 7, 10, 7, 0, 7, 10, 6, 1, 10, 0, 4, 5, 9 },
+/* 164: 2, 5, 7, */ { 9, 1, 4, 11, 4, 1, 4, 11, 7, 2, 11, 1, 5, 6, 10 },
+/* 88: 3, 4, 6, */ { 10, 2, 5, 8, 5, 2, 5, 8, 4, 3, 8, 2, 6, 7, 11 },
+/* 167: 0, 1, 2, 5, 7, */ { 5, 2, 10, 2, 5, 8, 4, 8, 5, 2, 8, 3, 11, 7, 6 },
+/* 91: 0, 1, 3, 4, 6, */ { 4, 1, 9, 1, 4, 11, 7, 11, 4, 1, 11, 2, 10, 6, 5 },
+/* 173: 0, 2, 3, 5, 7, */ { 7, 0, 8, 0, 7, 10, 6, 10, 7, 0, 10, 1, 9, 5, 4 },
+/* 181: 0, 2, 4, 5, 7, */ { 9, 5, 0, 11, 0, 5, 0, 11, 3, 6, 11, 5, 1, 2, 10 },
+/* 229: 0, 2, 5, 6, 7, */ { 11, 7, 2, 9, 2, 7, 2, 9, 1, 4, 9, 7, 3, 0, 8 },
+/* 94: 1, 2, 3, 4, 6, */ { 6, 3, 11, 3, 6, 9, 5, 9, 6, 3, 9, 0, 8, 4, 7 },
+/* 122: 1, 3, 4, 5, 6, */ { 10, 6, 1, 8, 1, 6, 1, 8, 0, 7, 8, 6, 2, 3, 11 },
+/* 218: 1, 3, 4, 6, 7, */ { 8, 4, 3, 10, 3, 4, 3, 10, 2, 5, 10, 4, 0, 1, 9 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 7.4.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling7_4_2[16][27] = {
+/* 37: 0, 2, 5, */ { 9, 4, 8, 4, 9, 5, 10, 5, 9, 1, 10, 9, 10, 1, 2, 0, 2, 1, 2, 0, 3, 8, 3, 0, 9, 8, 0 },
+/* 133: 0, 2, 7, */ { 11, 6, 10, 6, 11, 7, 8, 7, 11, 3, 8, 11, 8, 3, 0, 2, 0, 3, 0, 2, 1, 10, 1, 2, 11, 10, 2 },
+/* 161: 0, 5, 7, */ { 11, 3, 8, 0, 8, 3, 8, 0, 9, 8, 9, 4, 5, 4, 9, 4, 5, 7, 6, 7, 5, 7, 6, 11, 7, 11, 8 },
+/* 26: 1, 3, 4, */ { 8, 7, 11, 7, 8, 4, 9, 4, 8, 0, 9, 8, 9, 0, 1, 3, 1, 0, 1, 3, 2, 11, 2, 3, 8, 11, 3 },
+/* 74: 1, 3, 6, */ { 10, 5, 9, 5, 10, 6, 11, 6, 10, 2, 11, 10, 11, 2, 3, 1, 3, 2, 3, 1, 0, 9, 0, 1, 10, 9, 1 },
+/* 82: 1, 4, 6, */ { 8, 0, 9, 1, 9, 0, 9, 1, 10, 9, 10, 5, 6, 5, 10, 5, 6, 4, 7, 4, 6, 4, 7, 8, 4, 8, 9 },
+/* 164: 2, 5, 7, */ { 9, 1, 10, 2, 10, 1, 10, 2, 11, 10, 11, 6, 7, 6, 11, 6, 7, 5, 4, 5, 7, 5, 4, 9, 5, 9, 10 },
+/* 88: 3, 4, 6, */ { 10, 2, 11, 3, 11, 2, 11, 3, 8, 11, 8, 7, 4, 7, 8, 7, 4, 6, 5, 6, 4, 6, 5, 10, 6, 10, 11 },
+/* 167: 0, 1, 2, 5, 7, */ { 11, 2, 10, 2, 11, 3, 8, 3, 11, 7, 8, 11, 8, 7, 4, 6, 4, 7, 4, 6, 5, 10, 5, 6, 11, 10, 6 },
+/* 91: 0, 1, 3, 4, 6, */ { 10, 1, 9, 1, 10, 2, 11, 2, 10, 6, 11, 10, 11, 6, 7, 5, 7, 6, 7, 5, 4, 9, 4, 5, 10, 9, 5 },
+/* 173: 0, 2, 3, 5, 7, */ { 9, 0, 8, 0, 9, 1, 10, 1, 9, 5, 10, 9, 10, 5, 6, 4, 6, 5, 6, 4, 7, 8, 7, 4, 9, 8, 4 },
+/* 181: 0, 2, 4, 5, 7, */ { 9, 5, 10, 6, 10, 5, 10, 6, 11, 10, 11, 2, 3, 2, 11, 2, 3, 1, 0, 1, 3, 1, 0, 9, 1, 9, 10 },
+/* 229: 0, 2, 5, 6, 7, */ { 11, 7, 8, 4, 8, 7, 8, 4, 9, 8, 9, 0, 1, 0, 9, 0, 1, 3, 2, 3, 1, 3, 2, 11, 3, 11, 8 },
+/* 94: 1, 2, 3, 4, 6, */ { 8, 3, 11, 3, 8, 0, 9, 0, 8, 4, 9, 8, 9, 4, 5, 7, 5, 4, 5, 7, 6, 11, 6, 7, 8, 11, 7 },
+/* 122: 1, 3, 4, 5, 6, */ { 10, 6, 11, 7, 11, 6, 11, 7, 8, 11, 8, 3, 0, 3, 8, 3, 0, 2, 1, 2, 0, 2, 1, 10, 2, 10, 11 },
+/* 218: 1, 3, 4, 6, 7, */ { 8, 4, 9, 5, 9, 4, 9, 5, 10, 9, 10, 1, 2, 1, 10, 1, 2, 0, 3, 0, 2, 0, 3, 8, 0, 8, 9 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 8
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling8[6][6] = {
+/* 15: 0, 1, 2, 3, */ { 9, 8, 10, 10, 8, 11 },
+/* 51: 0, 1, 4, 5, */ { 1, 5, 3, 3, 5, 7 },
+/* 153: 0, 3, 4, 7, */ { 0, 4, 2, 4, 6, 2 },
+/* 102: 1, 2, 5, 6, */ { 0, 2, 4, 4, 2, 6 },
+/* 204: 2, 3, 6, 7, */ { 1, 3, 5, 3, 7, 5 },
+/* 240: 4, 5, 6, 7, */ { 9, 10, 8, 10, 11, 8 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 9
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling9[8][12] = {
+/* 39: 0, 1, 2, 5, */ { 2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8 },
+/* 27: 0, 1, 3, 4, */ { 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1 },
+/* 141: 0, 2, 3, 7, */ { 10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8 },
+/* 177: 0, 4, 5, 7, */ { 3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5 },
+/* 78: 1, 2, 3, 6, */ { 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9 },
+/* 114: 1, 4, 5, 6, */ { 10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0 },
+/* 228: 2, 5, 6, 7, */ { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2 },
+/* 216: 3, 4, 6, 7, */ { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4 }
+};
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 10
+ * 2 faces to test + eventually the interior
+ * When the tests on both specified faces are positive : 4 middle triangles (1)
+ * When the test on the first specified face is positive : 8 first triangles
+ * When the test on the second specified face is positive : 8 next triangles
+ * When the tests on both specified faces are negative :
+ * - if the test on the interior is negative : 4 middle triangles
+ * - if the test on the interior is positive : 8 last triangles
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char test10[6][3] = {
+/* 195: 0, 1, 6, 7, */ { 2, 4, 7 },
+/* 85: 0, 2, 4, 6, */ { 5, 6, 7 },
+/* 105: 0, 3, 5, 6, */ { 1, 3, 7 },
+/* 150: 1, 2, 4, 7, */ { 1, 3, 7 },
+/* 170: 1, 3, 5, 7, */ { 5, 6, 7 },
+/* 60: 2, 3, 4, 5, */ { 2, 4, 7 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 10.1.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling10_1_1[6][12] = {
+/* 195: 0, 1, 6, 7, */ { 5, 10, 7, 11, 7, 10, 8, 1, 9, 1, 8, 3 },
+/* 85: 0, 2, 4, 6, */ { 1, 2, 5, 6, 5, 2, 4, 3, 0, 3, 4, 7 },
+/* 105: 0, 3, 5, 6, */ { 11, 0, 8, 0, 11, 2, 4, 9, 6, 10, 6, 9 },
+/* 150: 1, 2, 4, 7, */ { 9, 0, 10, 2, 10, 0, 6, 8, 4, 8, 6, 11 },
+/* 170: 1, 3, 5, 7, */ { 7, 2, 3, 2, 7, 6, 0, 1, 4, 5, 4, 1 },
+/* 60: 2, 3, 4, 5, */ { 7, 9, 5, 9, 7, 8, 10, 1, 11, 3, 11, 1 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 10.1.1 inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling10_1_1_[6][12] = {
+/* 195: 0, 1, 6, 7, */ { 5, 9, 7, 8, 7, 9, 11, 1, 10, 1, 11, 3 },
+/* 85: 0, 2, 4, 6, */ { 3, 2, 7, 6, 7, 2, 4, 1, 0, 1, 4, 5 },
+/* 105: 0, 3, 5, 6, */ { 10, 0, 9, 0, 10, 2, 4, 8, 6, 11, 6, 8 },
+/* 150: 1, 2, 4, 7, */ { 8, 0, 11, 2, 11, 0, 6, 9, 4, 9, 6, 10 },
+/* 170: 1, 3, 5, 7, */ { 5, 2, 1, 2, 5, 6, 0, 3, 4, 7, 4, 3 },
+/* 60: 2, 3, 4, 5, */ { 7, 10, 5, 10, 7, 11, 9, 1, 8, 3, 8, 1 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 10.1.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling10_1_2[6][24] = {
+/* 195: 0, 1, 6, 7, */ { 3, 11, 7, 3, 7, 8, 9, 8, 7, 5, 9, 7, 9, 5, 10, 9, 10, 1, 3, 1, 10, 11, 3, 10 },
+/* 85: 0, 2, 4, 6, */ { 7, 6, 5, 7, 5, 4, 0, 4, 5, 1, 0, 5, 0, 1, 2, 0, 2, 3, 7, 3, 2, 6, 7, 2 },
+/* 105: 0, 3, 5, 6, */ { 11, 2, 10, 6, 11, 10, 11, 6, 4, 11, 4, 8, 0, 8, 4, 9, 0, 4, 0, 9, 10, 0, 10, 2 },
+/* 150: 1, 2, 4, 7, */ { 11, 2, 10, 11, 10, 6, 4, 6, 10, 9, 4, 10, 4, 9, 0, 4, 0, 8, 11, 8, 0, 2, 11, 0 },
+/* 170: 1, 3, 5, 7, */ { 7, 6, 5, 4, 7, 5, 7, 4, 0, 7, 0, 3, 2, 3, 0, 1, 2, 0, 2, 1, 5, 2, 5, 6 },
+/* 60: 2, 3, 4, 5, */ { 7, 8, 3, 11, 7, 3, 7, 11, 10, 7, 10, 5, 9, 5, 10, 1, 9, 10, 9, 1, 3, 9, 3, 8 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 10.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling10_2[6][24] = {
+/* 195: 0, 1, 6, 7, */ { 12, 5, 9, 12, 9, 8, 12, 8, 3, 12, 3, 1, 12, 1, 10, 12, 10, 11, 12, 11, 7, 12, 7, 5 },
+/* 85: 0, 2, 4, 6, */ { 12, 1, 0, 12, 0, 4, 12, 4, 7, 12, 7, 3, 12, 3, 2, 12, 2, 6, 12, 6, 5, 12, 5, 1 },
+/* 105: 0, 3, 5, 6, */ { 4, 8, 12, 6, 4, 12, 10, 6, 12, 9, 10, 12, 0, 9, 12, 2, 0, 12, 11, 2, 12, 8, 11, 12 },
+/* 150: 1, 2, 4, 7, */ { 12, 9, 4, 12, 4, 6, 12, 6, 11, 12, 11, 8, 12, 8, 0, 12, 0, 2, 12, 2, 10, 12, 10, 9 },
+/* 170: 1, 3, 5, 7, */ { 0, 3, 12, 4, 0, 12, 5, 4, 12, 1, 5, 12, 2, 1, 12, 6, 2, 12, 7, 6, 12, 3, 7, 12 },
+/* 60: 2, 3, 4, 5, */ { 10, 5, 12, 11, 10, 12, 3, 11, 12, 1, 3, 12, 9, 1, 12, 8, 9, 12, 7, 8, 12, 5, 7, 12 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 10.2 inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling10_2_[6][24] = {
+/* 195: 0, 1, 6, 7, */ { 8, 7, 12, 9, 8, 12, 1, 9, 12, 3, 1, 12, 11, 3, 12, 10, 11, 12, 5, 10, 12, 7, 5, 12 },
+/* 85: 0, 2, 4, 6, */ { 4, 5, 12, 0, 4, 12, 3, 0, 12, 7, 3, 12, 6, 7, 12, 2, 6, 12, 1, 2, 12, 5, 1, 12 },
+/* 105: 0, 3, 5, 6, */ { 12, 11, 6, 12, 6, 4, 12, 4, 9, 12, 9, 10, 12, 10, 2, 12, 2, 0, 12, 0, 8, 12, 8, 11 },
+/* 150: 1, 2, 4, 7, */ { 6, 10, 12, 4, 6, 12, 8, 4, 12, 11, 8, 12, 2, 11, 12, 0, 2, 12, 9, 0, 12, 10, 9, 12 },
+/* 170: 1, 3, 5, 7, */ { 12, 7, 4, 12, 4, 0, 12, 0, 1, 12, 1, 5, 12, 5, 6, 12, 6, 2, 12, 2, 3, 12, 3, 7 },
+/* 60: 2, 3, 4, 5, */ { 12, 7, 11, 12, 11, 10, 12, 10, 1, 12, 1, 3, 12, 3, 8, 12, 8, 9, 12, 9, 5, 12, 5, 7 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 11
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling11[12][12] = {
+/* 23: 0, 1, 2, 4, */ { 2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4 },
+/* 139: 0, 1, 3, 7, */ { 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6 },
+/* 99: 0, 1, 5, 6, */ { 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10 },
+/* 77: 0, 2, 3, 6, */ { 0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6 },
+/* 57: 0, 3, 4, 5, */ { 9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11 },
+/* 209: 0, 4, 6, 7, */ { 5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0 },
+/* 46: 1, 2, 3, 5, */ { 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3 },
+/* 198: 1, 2, 6, 7, */ { 9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7 },
+/* 178: 1, 4, 5, 7, */ { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11 },
+/* 156: 2, 3, 4, 7, */ { 8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1 },
+/* 116: 2, 4, 5, 6, */ { 1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7 },
+/* 232: 3, 5, 6, 7, */ { 2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9 }
+};
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 12
+ * 2 faces to test + eventually the interior
+ * When the tests on both specified faces are positive : 4 middle triangles (1)
+ * When the test on the first specified face is positive : 8 first triangles
+ * When the test on the second specified face is positive : 8 next triangles
+ * When the tests on both specified faces are negative :
+ * - if the test on the interior is negative : 4 middle triangles
+ * - if the test on the interior is positive : 8 last triangles
+ * The support edge for the interior test is marked as the 4th column.
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char test12[24][4] = {
+/* 135: 0, 1, 2, 7, */ { 4, 3, 7, 11 },
+/* 75: 0, 1, 3, 6, */ { 3, 2, 7, 10 },
+/* 83: 0, 1, 4, 6, */ { 2, 6, 7, 5 },
+/* 163: 0, 1, 5, 7, */ { 6, 4, 7, 7 },
+/* 45: 0, 2, 3, 5, */ { 2, 1, 7, 9 },
+/* 53: 0, 2, 4, 5, */ { 5, 2, 7, 1 },
+/* 149: 0, 2, 4, 7, */ { 5, 3, 7, 2 },
+/* 101: 0, 2, 5, 6, */ { 5, 1, 7, 0 },
+/* 197: 0, 2, 6, 7, */ { 5, 4, 7, 3 },
+/* 89: 0, 3, 4, 6, */ { 6, 3, 7, 6 },
+/* 169: 0, 3, 5, 7, */ { 1, 6, 7, 4 },
+/* 225: 0, 5, 6, 7, */ { 1, 4, 7, 8 },
+/* 30: 1, 2, 3, 4, */ { 4, 1, 7, 8 },
+/* 86: 1, 2, 4, 6, */ { 6, 1, 7, 4 },
+/* 166: 1, 2, 5, 7, */ { 3, 6, 7, 6 },
+/* 58: 1, 3, 4, 5, */ { 4, 5, 7, 3 },
+/* 154: 1, 3, 4, 7, */ { 1, 5, 7, 0 },
+/* 106: 1, 3, 5, 6, */ { 3, 5, 7, 2 },
+/* 202: 1, 3, 6, 7, */ { 2, 5, 7, 1 },
+/* 210: 1, 4, 6, 7, */ { 1, 2, 7, 9 },
+/* 92: 2, 3, 4, 6, */ { 4, 6, 7, 7 },
+/* 172: 2, 3, 5, 7, */ { 6, 2, 7, 5 },
+/* 180: 2, 4, 5, 7, */ { 2, 3, 7, 10 },
+/* 120: 3, 4, 5, 6, */ { 3, 4, 7, 11 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 12.1.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling12_1_1[24][12] = {
+/* 135: 0, 1, 2, 7, */ { 7, 6, 11, 10, 3, 2, 3, 10, 8, 9, 8, 10 },
+/* 75: 0, 1, 3, 6, */ { 6, 5, 10, 9, 2, 1, 2, 9, 11, 8, 11, 9 },
+/* 83: 0, 1, 4, 6, */ { 10, 6, 5, 7, 9, 4, 9, 7, 1, 3, 1, 7 },
+/* 163: 0, 1, 5, 7, */ { 7, 6, 11, 4, 8, 5, 3, 5, 8, 5, 3, 1 },
+/* 45: 0, 2, 3, 5, */ { 5, 4, 9, 8, 1, 0, 1, 8, 10, 11, 10, 8 },
+/* 53: 0, 2, 4, 5, */ { 1, 2, 10, 0, 9, 3, 5, 3, 9, 3, 5, 7 },
+/* 149: 0, 2, 4, 7, */ { 10, 1, 2, 0, 11, 3, 11, 0, 6, 4, 6, 0 },
+/* 101: 0, 2, 5, 6, */ { 8, 3, 0, 2, 9, 1, 9, 2, 4, 6, 4, 2 },
+/* 197: 0, 2, 6, 7, */ { 3, 0, 8, 2, 11, 1, 7, 1, 11, 1, 7, 5 },
+/* 89: 0, 3, 4, 6, */ { 6, 5, 10, 7, 11, 4, 2, 4, 11, 4, 2, 0 },
+/* 169: 0, 3, 5, 7, */ { 9, 5, 4, 6, 8, 7, 8, 6, 0, 2, 0, 6 },
+/* 225: 0, 5, 6, 7, */ { 8, 3, 0, 7, 4, 11, 9, 11, 4, 11, 9, 10 },
+/* 30: 1, 2, 3, 4, */ { 4, 7, 8, 11, 0, 3, 0, 11, 9, 10, 9, 11 },
+/* 86: 1, 2, 4, 6, */ { 4, 7, 8, 5, 9, 6, 0, 6, 9, 6, 0, 2 },
+/* 166: 1, 2, 5, 7, */ { 11, 7, 6, 4, 10, 5, 10, 4, 2, 0, 2, 4 },
+/* 58: 1, 3, 4, 5, */ { 11, 2, 3, 1, 8, 0, 8, 1, 7, 5, 7, 1 },
+/* 154: 1, 3, 4, 7, */ { 0, 1, 9, 3, 8, 2, 4, 2, 8, 2, 4, 6 },
+/* 106: 1, 3, 5, 6, */ { 2, 3, 11, 1, 10, 0, 6, 0, 10, 0, 6, 4 },
+/* 202: 1, 3, 6, 7, */ { 9, 0, 1, 3, 10, 2, 10, 3, 5, 7, 5, 3 },
+/* 210: 1, 4, 6, 7, */ { 9, 0, 1, 4, 5, 8, 10, 8, 5, 8, 10, 11 },
+/* 92: 2, 3, 4, 6, */ { 8, 4, 7, 5, 11, 6, 11, 5, 3, 1, 3, 5 },
+/* 172: 2, 3, 5, 7, */ { 5, 4, 9, 6, 10, 7, 1, 7, 10, 7, 1, 3 },
+/* 180: 2, 4, 5, 7, */ { 10, 1, 2, 5, 6, 9, 11, 9, 6, 9, 11, 8 },
+/* 120: 3, 4, 5, 6, */ { 11, 2, 3, 6, 7, 10, 8, 10, 7, 10, 8, 9 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 12.1.1 inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling12_1_1_[24][12] = {
+/* 135: 0, 1, 2, 7, */ { 3, 2, 11, 10, 7, 6, 7, 10, 8, 9, 8, 10 },
+/* 75: 0, 1, 3, 6, */ { 2, 1, 10, 9, 6, 5, 6, 9, 11, 8, 11, 9 },
+/* 83: 0, 1, 4, 6, */ { 9, 4, 5, 7, 10, 6, 10, 7, 1, 3, 1, 7 },
+/* 163: 0, 1, 5, 7, */ { 7, 4, 8, 6, 11, 5, 3, 5, 11, 5, 3, 1 },
+/* 45: 0, 2, 3, 5, */ { 1, 0, 9, 8, 5, 4, 5, 8, 10, 11, 10, 8 },
+/* 53: 0, 2, 4, 5, */ { 1, 0, 9, 2, 10, 3, 5, 3, 10, 3, 5, 7 },
+/* 149: 0, 2, 4, 7, */ { 11, 3, 2, 0, 10, 1, 10, 0, 6, 4, 6, 0 },
+/* 101: 0, 2, 5, 6, */ { 9, 1, 0, 2, 8, 3, 8, 2, 4, 6, 4, 2 },
+/* 197: 0, 2, 6, 7, */ { 3, 2, 11, 0, 8, 1, 7, 1, 8, 1, 7, 5 },
+/* 89: 0, 3, 4, 6, */ { 6, 7, 11, 5, 10, 4, 2, 4, 10, 4, 2, 0 },
+/* 169: 0, 3, 5, 7, */ { 8, 7, 4, 6, 9, 5, 9, 6, 0, 2, 0, 6 },
+/* 225: 0, 5, 6, 7, */ { 8, 7, 4, 3, 0, 11, 9, 11, 0, 11, 9, 10 },
+/* 30: 1, 2, 3, 4, */ { 0, 3, 8, 11, 4, 7, 4, 11, 9, 10, 9, 11 },
+/* 86: 1, 2, 4, 6, */ { 4, 5, 9, 7, 8, 6, 0, 6, 8, 6, 0, 2 },
+/* 166: 1, 2, 5, 7, */ { 10, 5, 6, 4, 11, 7, 11, 4, 2, 0, 2, 4 },
+/* 58: 1, 3, 4, 5, */ { 8, 0, 3, 1, 11, 2, 11, 1, 7, 5, 7, 1 },
+/* 154: 1, 3, 4, 7, */ { 0, 3, 8, 1, 9, 2, 4, 2, 9, 2, 4, 6 },
+/* 106: 1, 3, 5, 6, */ { 2, 1, 10, 3, 11, 0, 6, 0, 11, 0, 6, 4 },
+/* 202: 1, 3, 6, 7, */ { 10, 2, 1, 3, 9, 0, 9, 3, 5, 7, 5, 3 },
+/* 210: 1, 4, 6, 7, */ { 9, 4, 5, 0, 1, 8, 10, 8, 1, 8, 10, 11 },
+/* 92: 2, 3, 4, 6, */ { 11, 6, 7, 5, 8, 4, 8, 5, 3, 1, 3, 5 },
+/* 172: 2, 3, 5, 7, */ { 5, 6, 10, 4, 9, 7, 1, 7, 9, 7, 1, 3 },
+/* 180: 2, 4, 5, 7, */ { 10, 5, 6, 1, 2, 9, 11, 9, 2, 9, 11, 8 },
+/* 120: 3, 4, 5, 6, */ { 11, 6, 7, 2, 3, 10, 8, 10, 3, 10, 8, 9 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 12.1.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling12_1_2[24][24] = {
+/* 135: 0, 1, 2, 7, */ { 7, 3, 11, 3, 7, 8, 9, 8, 7, 6, 9, 7, 9, 6, 10, 2, 10, 6, 11, 2, 6, 2, 11, 3 },
+/* 75: 0, 1, 3, 6, */ { 6, 2, 10, 2, 6, 11, 8, 11, 6, 5, 8, 6, 8, 5, 9, 1, 9, 5, 10, 1, 5, 1, 10, 2 },
+/* 83: 0, 1, 4, 6, */ { 10, 9, 5, 9, 10, 1, 3, 1, 10, 6, 3, 10, 3, 6, 7, 4, 7, 6, 5, 4, 6, 4, 5, 9 },
+/* 163: 0, 1, 5, 7, */ { 7, 8, 11, 3, 11, 8, 11, 3, 1, 11, 1, 6, 5, 6, 1, 6, 5, 4, 6, 4, 7, 8, 7, 4 },
+/* 45: 0, 2, 3, 5, */ { 5, 1, 9, 1, 5, 10, 11, 10, 5, 4, 11, 5, 11, 4, 8, 0, 8, 4, 9, 0, 4, 0, 9, 1 },
+/* 53: 0, 2, 4, 5, */ { 1, 9, 10, 5, 10, 9, 10, 5, 7, 10, 7, 2, 3, 2, 7, 2, 3, 0, 2, 0, 1, 9, 1, 0 },
+/* 149: 0, 2, 4, 7, */ { 10, 11, 2, 11, 10, 6, 4, 6, 10, 1, 4, 10, 4, 1, 0, 3, 0, 1, 2, 3, 1, 3, 2, 11 },
+/* 101: 0, 2, 5, 6, */ { 8, 9, 0, 9, 8, 4, 6, 4, 8, 3, 6, 8, 6, 3, 2, 1, 2, 3, 0, 1, 3, 1, 0, 9 },
+/* 197: 0, 2, 6, 7, */ { 3, 11, 8, 7, 8, 11, 8, 7, 5, 8, 5, 0, 1, 0, 5, 0, 1, 2, 0, 2, 3, 11, 3, 2 },
+/* 89: 0, 3, 4, 6, */ { 6, 11, 10, 2, 10, 11, 10, 2, 0, 10, 0, 5, 4, 5, 0, 5, 4, 7, 5, 7, 6, 11, 6, 7 },
+/* 169: 0, 3, 5, 7, */ { 9, 8, 4, 8, 9, 0, 2, 0, 9, 5, 2, 9, 2, 5, 6, 7, 6, 5, 4, 7, 5, 7, 4, 8 },
+/* 225: 0, 5, 6, 7, */ { 8, 4, 0, 9, 0, 4, 0, 9, 10, 0, 10, 3, 11, 3, 10, 3, 11, 7, 3, 7, 8, 4, 8, 7 },
+/* 30: 1, 2, 3, 4, */ { 4, 0, 8, 0, 4, 9, 10, 9, 4, 7, 10, 4, 10, 7, 11, 3, 11, 7, 8, 3, 7, 3, 8, 0 },
+/* 86: 1, 2, 4, 6, */ { 4, 9, 8, 0, 8, 9, 8, 0, 2, 8, 2, 7, 6, 7, 2, 7, 6, 5, 7, 5, 4, 9, 4, 5 },
+/* 166: 1, 2, 5, 7, */ { 11, 10, 6, 10, 11, 2, 0, 2, 11, 7, 0, 11, 0, 7, 4, 5, 4, 7, 6, 5, 7, 5, 6, 10 },
+/* 58: 1, 3, 4, 5, */ { 11, 8, 3, 8, 11, 7, 5, 7, 11, 2, 5, 11, 5, 2, 1, 0, 1, 2, 3, 0, 2, 0, 3, 8 },
+/* 154: 1, 3, 4, 7, */ { 0, 8, 9, 4, 9, 8, 9, 4, 6, 9, 6, 1, 2, 1, 6, 1, 2, 3, 1, 3, 0, 8, 0, 3 },
+/* 106: 1, 3, 5, 6, */ { 2, 10, 11, 6, 11, 10, 11, 6, 4, 11, 4, 3, 0, 3, 4, 3, 0, 1, 3, 1, 2, 10, 2, 1 },
+/* 202: 1, 3, 6, 7, */ { 9, 10, 1, 10, 9, 5, 7, 5, 9, 0, 7, 9, 7, 0, 3, 2, 3, 0, 1, 2, 0, 2, 1, 10 },
+/* 210: 1, 4, 6, 7, */ { 9, 5, 1, 10, 1, 5, 1, 10, 11, 1, 11, 0, 8, 0, 11, 0, 8, 4, 0, 4, 9, 5, 9, 4 },
+/* 92: 2, 3, 4, 6, */ { 8, 11, 7, 11, 8, 3, 1, 3, 8, 4, 1, 8, 1, 4, 5, 6, 5, 4, 7, 6, 4, 6, 7, 11 },
+/* 172: 2, 3, 5, 7, */ { 5, 10, 9, 1, 9, 10, 9, 1, 3, 9, 3, 4, 7, 4, 3, 4, 7, 6, 4, 6, 5, 10, 5, 6 },
+/* 180: 2, 4, 5, 7, */ { 10, 6, 2, 11, 2, 6, 2, 11, 8, 2, 8, 1, 9, 1, 8, 1, 9, 5, 1, 5, 10, 6, 10, 5 },
+/* 120: 3, 4, 5, 6, */ { 11, 7, 3, 8, 3, 7, 3, 8, 9, 3, 9, 2, 10, 2, 9, 2, 10, 6, 2, 6, 11, 7, 11, 6 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 12.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling12_2[24][24] = {
+/* 135: 0, 1, 2, 7, */ { 9, 8, 12, 10, 9, 12, 2, 10, 12, 3, 2, 12, 11, 3, 12, 6, 11, 12, 7, 6, 12, 8, 7, 12 },
+/* 75: 0, 1, 3, 6, */ { 8, 11, 12, 9, 8, 12, 1, 9, 12, 2, 1, 12, 10, 2, 12, 5, 10, 12, 6, 5, 12, 11, 6, 12 },
+/* 83: 0, 1, 4, 6, */ { 3, 1, 12, 7, 3, 12, 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12, 10, 6, 12, 1, 10, 12 },
+/* 163: 0, 1, 5, 7, */ { 12, 3, 1, 12, 1, 5, 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4, 12, 4, 8, 12, 8, 3 },
+/* 45: 0, 2, 3, 5, */ { 11, 10, 12, 8, 11, 12, 0, 8, 12, 1, 0, 12, 9, 1, 12, 4, 9, 12, 5, 4, 12, 10, 5, 12 },
+/* 53: 0, 2, 4, 5, */ { 12, 5, 7, 12, 7, 3, 12, 3, 2, 12, 2, 10, 12, 10, 1, 12, 1, 0, 12, 0, 9, 12, 9, 5 },
+/* 149: 0, 2, 4, 7, */ { 4, 6, 12, 0, 4, 12, 1, 0, 12, 10, 1, 12, 2, 10, 12, 3, 2, 12, 11, 3, 12, 6, 11, 12 },
+/* 101: 0, 2, 5, 6, */ { 6, 4, 12, 2, 6, 12, 3, 2, 12, 8, 3, 12, 0, 8, 12, 1, 0, 12, 9, 1, 12, 4, 9, 12 },
+/* 197: 0, 2, 6, 7, */ { 12, 7, 5, 12, 5, 1, 12, 1, 0, 12, 0, 8, 12, 8, 3, 12, 3, 2, 12, 2, 11, 12, 11, 7 },
+/* 89: 0, 3, 4, 6, */ { 12, 2, 0, 12, 0, 4, 12, 4, 5, 12, 5, 10, 12, 10, 6, 12, 6, 7, 12, 7, 11, 12, 11, 2 },
+/* 169: 0, 3, 5, 7, */ { 2, 0, 12, 6, 2, 12, 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12, 9, 5, 12, 0, 9, 12 },
+/* 225: 0, 5, 6, 7, */ { 12, 9, 10, 12, 10, 11, 12, 11, 7, 12, 7, 4, 12, 4, 8, 12, 8, 3, 12, 3, 0, 12, 0, 9 },
+/* 30: 1, 2, 3, 4, */ { 10, 9, 12, 11, 10, 12, 7, 11, 12, 4, 7, 12, 8, 4, 12, 3, 8, 12, 0, 3, 12, 9, 0, 12 },
+/* 86: 1, 2, 4, 6, */ { 12, 0, 2, 12, 2, 6, 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5, 12, 5, 9, 12, 9, 0 },
+/* 166: 1, 2, 5, 7, */ { 0, 2, 12, 4, 0, 12, 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12, 11, 7, 12, 2, 11, 12 },
+/* 58: 1, 3, 4, 5, */ { 5, 7, 12, 1, 5, 12, 0, 1, 12, 8, 0, 12, 3, 8, 12, 2, 3, 12, 11, 2, 12, 7, 11, 12 },
+/* 154: 1, 3, 4, 7, */ { 12, 4, 6, 12, 6, 2, 12, 2, 3, 12, 3, 8, 12, 8, 0, 12, 0, 1, 12, 1, 9, 12, 9, 4 },
+/* 106: 1, 3, 5, 6, */ { 12, 6, 4, 12, 4, 0, 12, 0, 1, 12, 1, 10, 12, 10, 2, 12, 2, 3, 12, 3, 11, 12, 11, 6 },
+/* 202: 1, 3, 6, 7, */ { 7, 5, 12, 3, 7, 12, 2, 3, 12, 10, 2, 12, 1, 10, 12, 0, 1, 12, 9, 0, 12, 5, 9, 12 },
+/* 210: 1, 4, 6, 7, */ { 12, 10, 11, 12, 11, 8, 12, 8, 0, 12, 0, 1, 12, 1, 9, 12, 9, 4, 12, 4, 5, 12, 5, 10 },
+/* 92: 2, 3, 4, 6, */ { 1, 3, 12, 5, 1, 12, 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12, 8, 4, 12, 3, 8, 12 },
+/* 172: 2, 3, 5, 7, */ { 12, 1, 3, 12, 3, 7, 12, 7, 4, 12, 4, 9, 12, 9, 5, 12, 5, 6, 12, 6, 10, 12, 10, 1 },
+/* 180: 2, 4, 5, 7, */ { 12, 11, 8, 12, 8, 9, 12, 9, 1, 12, 1, 2, 12, 2, 10, 12, 10, 5, 12, 5, 6, 12, 6, 11 },
+/* 120: 3, 4, 5, 6, */ { 12, 8, 9, 12, 9, 10, 12, 10, 2, 12, 2, 3, 12, 3, 11, 12, 11, 6, 12, 6, 7, 12, 7, 8 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 12.2 inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling12_2_[24][24] = {
+/* 135: 0, 1, 2, 7, */ { 12, 2, 11, 12, 11, 7, 12, 7, 6, 12, 6, 10, 12, 10, 9, 12, 9, 8, 12, 8, 3, 12, 3, 2 },
+/* 75: 0, 1, 3, 6, */ { 12, 1, 10, 12, 10, 6, 12, 6, 5, 12, 5, 9, 12, 9, 8, 12, 8, 11, 12, 11, 2, 12, 2, 1 },
+/* 83: 0, 1, 4, 6, */ { 12, 4, 5, 12, 5, 10, 12, 10, 6, 12, 6, 7, 12, 7, 3, 12, 3, 1, 12, 1, 9, 12, 9, 4 },
+/* 163: 0, 1, 5, 7, */ { 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12, 1, 5, 12, 3, 1, 12, 11, 3, 12, 6, 11, 12 },
+/* 45: 0, 2, 3, 5, */ { 12, 0, 9, 12, 9, 5, 12, 5, 4, 12, 4, 8, 12, 8, 11, 12, 11, 10, 12, 10, 1, 12, 1, 0 },
+/* 53: 0, 2, 4, 5, */ { 1, 2, 12, 9, 1, 12, 0, 9, 12, 3, 0, 12, 7, 3, 12, 5, 7, 12, 10, 5, 12, 2, 10, 12 },
+/* 149: 0, 2, 4, 7, */ { 12, 1, 2, 12, 2, 11, 12, 11, 3, 12, 3, 0, 12, 0, 4, 12, 4, 6, 12, 6, 10, 12, 10, 1 },
+/* 101: 0, 2, 5, 6, */ { 12, 3, 0, 12, 0, 9, 12, 9, 1, 12, 1, 2, 12, 2, 6, 12, 6, 4, 12, 4, 8, 12, 8, 3 },
+/* 197: 0, 2, 6, 7, */ { 3, 0, 12, 11, 3, 12, 2, 11, 12, 1, 2, 12, 5, 1, 12, 7, 5, 12, 8, 7, 12, 0, 8, 12 },
+/* 89: 0, 3, 4, 6, */ { 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12, 0, 4, 12, 2, 0, 12, 10, 2, 12, 5, 10, 12 },
+/* 169: 0, 3, 5, 7, */ { 12, 7, 4, 12, 4, 9, 12, 9, 5, 12, 5, 6, 12, 6, 2, 12, 2, 0, 12, 0, 8, 12, 8, 7 },
+/* 225: 0, 5, 6, 7, */ { 8, 7, 12, 0, 8, 12, 3, 0, 12, 11, 3, 12, 10, 11, 12, 9, 10, 12, 4, 9, 12, 7, 4, 12 },
+/* 30: 1, 2, 3, 4, */ { 12, 7, 8, 12, 8, 0, 12, 0, 3, 12, 3, 11, 12, 11, 10, 12, 10, 9, 12, 9, 4, 12, 4, 7 },
+/* 86: 1, 2, 4, 6, */ { 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12, 2, 6, 12, 0, 2, 12, 8, 0, 12, 7, 8, 12 },
+/* 166: 1, 2, 5, 7, */ { 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4, 12, 4, 0, 12, 0, 2, 12, 2, 10, 12, 10, 5 },
+/* 58: 1, 3, 4, 5, */ { 12, 0, 3, 12, 3, 11, 12, 11, 2, 12, 2, 1, 12, 1, 5, 12, 5, 7, 12, 7, 8, 12, 8, 0 },
+/* 154: 1, 3, 4, 7, */ { 0, 3, 12, 9, 0, 12, 1, 9, 12, 2, 1, 12, 6, 2, 12, 4, 6, 12, 8, 4, 12, 3, 8, 12 },
+/* 106: 1, 3, 5, 6, */ { 2, 1, 12, 11, 2, 12, 3, 11, 12, 0, 3, 12, 4, 0, 12, 6, 4, 12, 10, 6, 12, 1, 10, 12 },
+/* 202: 1, 3, 6, 7, */ { 12, 2, 1, 12, 1, 9, 12, 9, 0, 12, 0, 3, 12, 3, 7, 12, 7, 5, 12, 5, 10, 12, 10, 2 },
+/* 210: 1, 4, 6, 7, */ { 9, 0, 12, 5, 9, 12, 4, 5, 12, 8, 4, 12, 11, 8, 12, 10, 11, 12, 1, 10, 12, 0, 1, 12 },
+/* 92: 2, 3, 4, 6, */ { 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5, 12, 5, 1, 12, 1, 3, 12, 3, 11, 12, 11, 6 },
+/* 172: 2, 3, 5, 7, */ { 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12, 3, 7, 12, 1, 3, 12, 9, 1, 12, 4, 9, 12 },
+/* 180: 2, 4, 5, 7, */ { 10, 1, 12, 6, 10, 12, 5, 6, 12, 9, 5, 12, 8, 9, 12, 11, 8, 12, 2, 11, 12, 1, 2, 12 },
+/* 120: 3, 4, 5, 6, */ { 11, 2, 12, 7, 11, 12, 6, 7, 12, 10, 6, 12, 9, 10, 12, 8, 9, 12, 3, 8, 12, 2, 3, 12 }
+};
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief test table for case 13
+ * All faces are to be tested
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13: face test */
+static const char test13[2][7] = {
+/* 165: 0, 2, 5, 7, */ { 1,2,3,4,5,6,7 },
+/* 90: 1, 3, 4, 6, */ { 2,3,4,1,5,6,7 },
+};
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief subconfiguration table for case 13
+ * Hard-coded tests for the subconfiguration determination
+ *
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13: sub configs */
+static const char subconfig13[64] = {
+/* 0: 0,0,0,0,0,0 */ 0,
+/* 1: 1,0,0,0,0,0 */ 1,
+/* 2: 0,1,0,0,0,0 */ 2,
+/* 3: 1,1,0,0,0,0 */ 7,
+/* 4: 0,0,1,0,0,0 */ 3,
+/* 5: 1,0,1,0,0,0 */ -1,
+/* 6: 0,1,1,0,0,0 */ 11,
+/* 7: 1,1,1,0,0,0 */ -1,
+/* 8: 0,0,0,1,0,0 */ 4,
+/* 9: 1,0,0,1,0,0 */ 8,
+/* 10: 0,1,0,1,0,0 */ -1,
+/* 11: 1,1,0,1,0,0 */ -1,
+/* 12: 0,0,1,1,0,0 */ 14,
+/* 13: 1,0,1,1,0,0 */ -1,
+/* 14: 0,1,1,1,0,0 */ -1,
+/* 15: 1,1,1,1,0,0 */ -1,
+/* 16: 0,0,0,0,1,0 */ 5,
+/* 17: 1,0,0,0,1,0 */ 9,
+/* 18: 0,1,0,0,1,0 */ 12,
+/* 19: 1,1,0,0,1,0 */ 23,
+/* 20: 0,0,1,0,1,0 */ 15,
+/* 21: 1,0,1,0,1,0 */ -1,
+/* 22: 0,1,1,0,1,0 */ 21,
+/* 23: 1,1,1,0,1,0 */ 38,
+/* 24: 0,0,0,1,1,0 */ 17,
+/* 25: 1,0,0,1,1,0 */ 20,
+/* 26: 0,1,0,1,1,0 */ -1,
+/* 27: 1,1,0,1,1,0 */ 36,
+/* 28: 0,0,1,1,1,0 */ 26,
+/* 29: 1,0,1,1,1,0 */ 33,
+/* 30: 0,1,1,1,1,0 */ 30,
+/* 31: 1,1,1,1,1,0 */ 44,
+/* 32: 0,0,0,0,0,1 */ 6,
+/* 33: 1,0,0,0,0,1 */ 10,
+/* 34: 0,1,0,0,0,1 */ 13,
+/* 35: 1,1,0,0,0,1 */ 19,
+/* 36: 0,0,1,0,0,1 */ 16,
+/* 37: 1,0,1,0,0,1 */ -1,
+/* 38: 0,1,1,0,0,1 */ 25,
+/* 39: 1,1,1,0,0,1 */ 37,
+/* 40: 0,0,0,1,0,1 */ 18,
+/* 41: 1,0,0,1,0,1 */ 24,
+/* 42: 0,1,0,1,0,1 */ -1,
+/* 43: 1,1,0,1,0,1 */ 35,
+/* 44: 0,0,1,1,0,1 */ 22,
+/* 45: 1,0,1,1,0,1 */ 32,
+/* 46: 0,1,1,1,0,1 */ 29,
+/* 47: 1,1,1,1,0,1 */ 43,
+/* 48: 0,0,0,0,1,1 */ -1,
+/* 49: 1,0,0,0,1,1 */ -1,
+/* 50: 0,1,0,0,1,1 */ -1,
+/* 51: 1,1,0,0,1,1 */ 34,
+/* 52: 0,0,1,0,1,1 */ -1,
+/* 53: 1,0,1,0,1,1 */ -1,
+/* 54: 0,1,1,0,1,1 */ 28,
+/* 55: 1,1,1,0,1,1 */ 42,
+/* 56: 0,0,0,1,1,1 */ -1,
+/* 57: 1,0,0,1,1,1 */ 31,
+/* 58: 0,1,0,1,1,1 */ -1,
+/* 59: 1,1,0,1,1,1 */ 41,
+/* 60: 0,0,1,1,1,1 */ 27,
+/* 61: 1,0,1,1,1,1 */ 40,
+/* 62: 0,1,1,1,1,1 */ 39,
+/* 63: 1,1,1,1,1,1 */ 45,
+};
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.1
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.1 */
+static const char tiling13_1[2][12] = {
+/* 165: 0, 2, 5, 7, */ { 11, 7, 6, 1, 2, 10, 8, 3, 0, 9, 5, 4 },
+/* 90: 1, 3, 4, 6, */ { 8, 4, 7, 2, 3, 11, 9, 0, 1, 10, 6, 5 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.1 inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.1 */
+static const char tiling13_1_[2][12] = {
+/* 165: 0, 2, 5, 7, */ { 7, 4, 8, 11, 3, 2, 1, 0, 9, 5, 6, 10 },
+/* 90: 1, 3, 4, 6, */ { 6, 7, 11, 10, 2, 1, 0, 3, 8, 4, 5, 9 }
+};
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.2 */
+static const char tiling13_2[2][6][18] = {
+/* 165: 0, 2, 5, 7, */ {
+ /* 1 */ { 1, 2, 10, 11, 7, 6, 3, 4, 8, 4, 3, 5, 0, 5, 3, 5, 0, 9 },
+ /* 2 */ { 8, 3, 0, 11, 7, 6, 9, 1, 4, 2, 4, 1, 4, 2, 5, 10, 5, 2 },
+ /* 3 */ { 9, 5, 4, 8, 3, 0, 1, 6, 10, 6, 1, 7, 2, 7, 1, 7, 2, 11 },
+ /* 4 */ { 9, 5, 4, 1, 2, 10, 11, 3, 6, 0, 6, 3, 6, 0, 7, 8, 7, 0 },
+ /* 5 */ { 9, 5, 4, 11, 7, 6, 0, 10, 1, 10, 0, 8, 10, 8, 2, 3, 2, 8 },
+ /* 6 */ { 1, 2, 10, 3, 0, 8, 4, 9, 7, 11, 7, 9, 5, 11, 9, 11, 5, 6 }
+},
+/* 90: 1, 3, 4, 6, */ {
+ /* 1 */ { 2, 3, 11, 8, 4, 7, 0, 5, 9, 5, 0, 6, 1, 6, 0, 6, 1, 10 },
+ /* 2 */ { 9, 0, 1, 8, 4, 7, 10, 2, 5, 3, 5, 2, 5, 3, 6, 11, 6, 3 },
+ /* 3 */ { 6, 5, 10, 9, 0, 1, 2, 7, 11, 7, 2, 4, 3, 4, 2, 4, 3, 8 },
+ /* 4 */ { 6, 5, 10, 2, 3, 11, 8, 0, 7, 1, 7, 0, 7, 1, 4, 9, 4, 1 },
+ /* 5 */ { 6, 5, 10, 8, 4, 7, 1, 11, 2, 11, 1, 9, 11, 9, 3, 0, 3, 9 },
+ /* 6 */ { 2, 3, 11, 0, 1, 9, 5, 10, 4, 8, 4, 10, 6, 8, 10, 8, 6, 7 }
+} };
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.2 inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.2 */
+static const char tiling13_2_[2][6][18] = {
+/* 165: 0, 2, 5, 7, */ {
+ /* 1 */ { 10, 5, 6, 11, 3, 2, 7, 0, 8, 0, 7, 1, 4, 1, 7, 1, 4, 9 },
+ /* 2 */ { 11, 3, 2, 7, 4, 8, 9, 5, 0, 6, 0, 5, 0, 6, 1, 10, 1, 6 },
+ /* 3 */ { 1, 0, 9, 7, 4, 8, 5, 2, 10, 2, 5, 3, 6, 3, 5, 3, 6, 11 },
+ /* 4 */ { 10, 5, 6, 1, 0, 9, 11, 7, 2, 4, 2, 7, 2, 4, 3, 8, 3, 4 },
+ /* 5 */ { 10, 5, 6, 7, 4, 8, 2, 11, 1, 9, 1, 11, 3, 9, 11, 9, 3, 0 },
+ /* 6 */ { 11, 3, 2, 9, 1, 0, 4, 10, 5, 10, 4, 8, 10, 8, 6, 7, 6, 8 }
+},
+/* 90: 1, 3, 4, 6, */ {
+ /* 1 */ { 6, 7, 11, 8, 0, 3, 4, 1, 9, 1, 4, 2, 5, 2, 4, 2, 5, 10 },
+ /* 2 */ { 8, 0, 3, 4, 5, 9, 10, 6, 1, 7, 1, 6, 1, 7, 2, 11, 2, 7 },
+ /* 3 */ { 2, 1, 10, 4, 5, 9, 6, 3, 11, 3, 6, 0, 7, 0, 6, 0, 7, 8 },
+ /* 4 */ { 6, 7, 11, 2, 1, 10, 8, 4, 3, 5, 3, 4, 3, 5, 0, 9, 0, 5 },
+ /* 5 */ { 6, 7, 11, 4, 5, 9, 3, 8, 2, 10, 2, 8, 0, 10, 8, 10, 0, 1 },
+ /* 6 */ { 8, 0, 3, 10, 2, 1, 5, 11, 6, 11, 5, 9, 11, 9, 7, 4, 7, 9 }
+} };
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.3
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.3 */
+static const char tiling13_3[2][12][30] = {
+/* 165: 0, 2, 5, 7, */ {
+ /* 1,2 */ { 11, 7, 6, 12, 2, 10, 12, 10, 5, 12, 5, 4, 12, 4, 8, 12, 8, 3, 12, 3, 0, 12, 0, 9, 12, 9, 1, 12, 1, 2 },
+ /* 1,4 */ { 1, 2, 10, 9, 5, 12, 0, 9, 12, 3, 0, 12, 11, 3, 12, 6, 11, 12, 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12 },
+ /* 1,5 */ { 11, 7, 6, 12, 5, 4, 12, 4, 8, 12, 8, 3, 12, 3, 2, 12, 2, 10, 12, 10, 1, 12, 1, 0, 12, 0, 9, 12, 9, 5 },
+ /* 1,6 */ { 1, 2, 10, 12, 3, 0, 12, 0, 9, 12, 9, 5, 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4, 12, 4, 8, 12, 8, 3 },
+ /* 2,3 */ { 8, 3, 0, 11, 7, 12, 2, 11, 12, 1, 2, 12, 9, 1, 12, 4, 9, 12, 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12 },
+ /* 2,5 */ { 11, 7, 6, 5, 4, 12, 10, 5, 12, 2, 10, 12, 3, 2, 12, 8, 3, 12, 0, 8, 12, 1, 0, 12, 9, 1, 12, 4, 9, 12 },
+ /* 2,6 */ { 8, 3, 0, 1, 2, 12, 9, 1, 12, 4, 9, 12, 7, 4, 12, 11, 7, 12, 6, 11, 12, 5, 6, 12, 10, 5, 12, 2, 10, 12 },
+ /* 3,4 */ { 9, 5, 4, 12, 0, 8, 12, 8, 7, 12, 7, 6, 12, 6, 10, 12, 10, 1, 12, 1, 2, 12, 2, 11, 12, 11, 3, 12, 3, 0 },
+ /* 3,5 */ { 9, 5, 4, 12, 7, 6, 12, 6, 10, 12, 10, 1, 12, 1, 0, 12, 0, 8, 12, 8, 3, 12, 3, 2, 12, 2, 11, 12, 11, 7 },
+ /* 3,6 */ { 8, 3, 0, 12, 1, 2, 12, 2, 11, 12, 11, 7, 12, 7, 4, 12, 4, 9, 12, 9, 5, 12, 5, 6, 12, 6, 10, 12, 10, 1 },
+ /* 4,5 */ { 9, 5, 4, 7, 6, 12, 8, 7, 12, 0, 8, 12, 1, 0, 12, 10, 1, 12, 2, 10, 12, 3, 2, 12, 11, 3, 12, 6, 11, 12 },
+ /* 4,6 */ { 1, 2, 10, 3, 0, 12, 11, 3, 12, 6, 11, 12, 5, 6, 12, 9, 5, 12, 4, 9, 12, 7, 4, 12, 8, 7, 12, 0, 8, 12 }
+},
+/* 90: 1, 3, 4, 6, */ {
+ /* 1,2 */ { 8, 4, 7, 12, 3, 11, 12, 11, 6, 12, 6, 5, 12, 5, 9, 12, 9, 0, 12, 0, 1, 12, 1, 10, 12, 10, 2, 12, 2, 3 },
+ /* 1,4 */ { 2, 3, 11, 10, 6, 12, 1, 10, 12, 0, 1, 12, 8, 0, 12, 7, 8, 12, 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12 },
+ /* 1,5 */ { 8, 4, 7, 12, 6, 5, 12, 5, 9, 12, 9, 0, 12, 0, 3, 12, 3, 11, 12, 11, 2, 12, 2, 1, 12, 1, 10, 12, 10, 6 },
+ /* 1,6 */ { 2, 3, 11, 12, 0, 1, 12, 1, 10, 12, 10, 6, 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5, 12, 5, 9, 12, 9, 0 },
+ /* 2,3 */ { 0, 1, 9, 8, 4, 12, 3, 8, 12, 2, 3, 12, 10, 2, 12, 5, 10, 12, 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12 },
+ /* 2,5 */ { 8, 4, 7, 6, 5, 12, 11, 6, 12, 3, 11, 12, 0, 3, 12, 9, 0, 12, 1, 9, 12, 2, 1, 12, 10, 2, 12, 5, 10, 12 },
+ /* 2,6 */ { 9, 0, 1, 2, 3, 12, 10, 2, 12, 5, 10, 12, 4, 5, 12, 8, 4, 12, 7, 8, 12, 6, 7, 12, 11, 6, 12, 3, 11, 12 },
+ /* 3,4 */ { 6, 5, 10, 12, 1, 9, 12, 9, 4, 12, 4, 7, 12, 7, 11, 12, 11, 2, 12, 2, 3, 12, 3, 8, 12, 8, 0, 12, 0, 1 },
+ /* 3,5 */ { 6, 5, 10, 12, 4, 7, 12, 7, 11, 12, 11, 2, 12, 2, 1, 12, 1, 9, 12, 9, 0, 12, 0, 3, 12, 3, 8, 12, 8, 4 },
+ /* 3,6 */ { 9, 0, 1, 12, 2, 3, 12, 3, 8, 12, 8, 4, 12, 4, 5, 12, 5, 10, 12, 10, 6, 12, 6, 7, 12, 7, 11, 12, 11, 2 },
+ /* 4,5 */ { 6, 5, 10, 4, 7, 12, 9, 4, 12, 1, 9, 12, 2, 1, 12, 11, 2, 12, 3, 11, 12, 0, 3, 12, 8, 0, 12, 7, 8, 12 },
+ /* 4,6 */ { 2, 3, 11, 0, 1, 12, 8, 0, 12, 7, 8, 12, 6, 7, 12, 10, 6, 12, 5, 10, 12, 4, 5, 12, 9, 4, 12, 1, 9, 12 }
+} };
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.3, inverted
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.3 */
+static const char tiling13_3_[2][12][30] = {
+/* 165: 0, 2, 5, 7, */ {
+ /* 1,2 */ { 3, 2, 11, 8, 7, 12, 0, 8, 12, 1, 0, 12, 10, 1, 12, 6, 10, 12, 5, 6, 12, 9, 5, 12, 4, 9, 12, 7, 4, 12 },
+ /* 1,4 */ { 5, 6, 10, 12, 2, 11, 12, 11, 7, 12, 7, 4, 12, 4, 9, 12, 9, 1, 12, 1, 0, 12, 0, 8, 12, 8, 3, 12, 3, 2 },
+ /* 1,5 */ { 10, 5, 6, 12, 7, 4, 12, 4, 9, 12, 9, 1, 12, 1, 2, 12, 2, 11, 12, 11, 3, 12, 3, 0, 12, 0, 8, 12, 8, 7 },
+ /* 1,6 */ { 11, 3, 2, 12, 1, 0, 12, 0, 8, 12, 8, 7, 12, 7, 6, 12, 6, 10, 12, 10, 5, 12, 5, 4, 12, 4, 9, 12, 9, 1 },
+ /* 2,3 */ { 7, 4, 8, 11, 3, 12, 6, 11, 12, 5, 6, 12, 9, 5, 12, 0, 9, 12, 1, 0, 12, 10, 1, 12, 2, 10, 12, 3, 2, 12 },
+ /* 2,5 */ { 7, 4, 8, 5, 6, 12, 9, 5, 12, 0, 9, 12, 3, 0, 12, 11, 3, 12, 2, 11, 12, 1, 2, 12, 10, 1, 12, 6, 10, 12 },
+ /* 2,6 */ { 11, 3, 2, 1, 0, 12, 10, 1, 12, 6, 10, 12, 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12, 9, 5, 12, 0, 9, 12 },
+ /* 3,4 */ { 1, 0, 9, 12, 4, 8, 12, 8, 3, 12, 3, 2, 12, 2, 10, 12, 10, 5, 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4 },
+ /* 3,5 */ { 7, 4, 8, 12, 5, 6, 12, 6, 11, 12, 11, 3, 12, 3, 0, 12, 0, 9, 12, 9, 1, 12, 1, 2, 12, 2, 10, 12, 10, 5 },
+ /* 3,6 */ { 1, 0, 9, 12, 3, 2, 12, 2, 10, 12, 10, 5, 12, 5, 4, 12, 4, 8, 12, 8, 7, 12, 7, 6, 12, 6, 11, 12, 11, 3 },
+ /* 4,5 */ { 10, 5, 6, 7, 4, 12, 11, 7, 12, 2, 11, 12, 1, 2, 12, 9, 1, 12, 0, 9, 12, 3, 0, 12, 8, 3, 12, 4, 8, 12 },
+ /* 4,6 */ { 9, 1, 0, 3, 2, 12, 8, 3, 12, 4, 8, 12, 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12, 11, 7, 12, 2, 11, 12 }
+},
+/* 90: 1, 3, 4, 6, */ {
+ /* 1,2 */ { 0, 3, 8, 9, 4, 12, 1, 9, 12, 2, 1, 12, 11, 2, 12, 7, 11, 12, 6, 7, 12, 10, 6, 12, 5, 10, 12, 4, 5, 12 },
+ /* 1,4 */ { 11, 6, 7, 12, 3, 8, 12, 8, 4, 12, 4, 5, 12, 5, 10, 12, 10, 2, 12, 2, 1, 12, 1, 9, 12, 9, 0, 12, 0, 3 },
+ /* 1,5 */ { 6, 7, 11, 12, 4, 5, 12, 5, 10, 12, 10, 2, 12, 2, 3, 12, 3, 8, 12, 8, 0, 12, 0, 1, 12, 1, 9, 12, 9, 4 },
+ /* 1,6 */ { 8, 0, 3, 12, 2, 1, 12, 1, 9, 12, 9, 4, 12, 4, 7, 12, 7, 11, 12, 11, 6, 12, 6, 5, 12, 5, 10, 12, 10, 2 },
+ /* 2,3 */ { 4, 5, 9, 8, 0, 12, 7, 8, 12, 6, 7, 12, 10, 6, 12, 1, 10, 12, 2, 1, 12, 11, 2, 12, 3, 11, 12, 0, 3, 12 },
+ /* 2,5 */ { 4, 5, 9, 6, 7, 12, 10, 6, 12, 1, 10, 12, 0, 1, 12, 8, 0, 12, 3, 8, 12, 2, 3, 12, 11, 2, 12, 7, 11, 12 },
+ /* 2,6 */ { 8, 0, 3, 2, 1, 12, 11, 2, 12, 7, 11, 12, 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12, 10, 6, 12, 1, 10, 12 },
+ /* 3,4 */ { 2, 1, 10, 12, 5, 9, 12, 9, 0, 12, 0, 3, 12, 3, 11, 12, 11, 6, 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5 },
+ /* 3,5 */ { 4, 5, 9, 12, 6, 7, 12, 7, 8, 12, 8, 0, 12, 0, 1, 12, 1, 10, 12, 10, 2, 12, 2, 3, 12, 3, 11, 12, 11, 6 },
+ /* 3,6 */ { 2, 1, 10, 12, 0, 3, 12, 3, 11, 12, 11, 6, 12, 6, 5, 12, 5, 9, 12, 9, 4, 12, 4, 7, 12, 7, 8, 12, 8, 0 },
+ /* 4,5 */ { 6, 7, 11, 4, 5, 12, 8, 4, 12, 3, 8, 12, 2, 3, 12, 10, 2, 12, 1, 10, 12, 0, 1, 12, 9, 0, 12, 5, 9, 12 },
+ /* 4,6 */ { 10, 2, 1, 0, 3, 12, 9, 0, 12, 5, 9, 12, 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12, 8, 4, 12, 3, 8, 12 }
+} };
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.4
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.4 */
+static const char tiling13_4[2][4][36] = {
+/* 165: 0, 2, 5, 7, */ {
+/* 1,2,6 */ { 12, 2, 10, 12, 10, 5, 12, 5, 6, 12, 6, 11, 12, 11, 7, 12, 7, 4, 12, 4, 8, 12, 8, 3, 12, 3, 0, 12, 0, 9, 12, 9, 1, 12, 1, 2 },
+/* 1,4,5 */ { 11, 3, 12, 6, 11, 12, 7, 6, 12, 8, 7, 12, 4, 8, 12, 5, 4, 12, 9, 5, 12, 0, 9, 12, 1, 0, 12, 10, 1, 12, 2, 10, 12, 3, 2, 12 },
+/* 2,3,5 */ { 9, 1, 12, 4, 9, 12, 5, 4, 12, 10, 5, 12, 6, 10, 12, 7, 6, 12, 11, 7, 12, 2, 11, 12, 3, 2, 12, 8, 3, 12, 0, 8, 12, 1, 0, 12 },
+/* 3,4,6 */ { 12, 0, 8, 12, 8, 7, 12, 7, 4, 12, 4, 9, 12, 9, 5, 12, 5, 6, 12, 6, 10, 12, 10, 1, 12, 1, 2, 12, 2, 11, 12, 11, 3, 12, 3, 0 }
+},
+/* 90: 1, 3, 4, 6, */ {
+/* 1,2,6 */ { 12, 3, 11, 12, 11, 6, 12, 6, 7, 12, 7, 8, 12, 8, 4, 12, 4, 5, 12, 5, 9, 12, 9, 0, 12, 0, 1, 12, 1, 10, 12, 10, 2, 12, 2, 3 },
+/* 1,4,5 */ { 8, 0, 12, 7, 8, 12, 4, 7, 12, 9, 4, 12, 5, 9, 12, 6, 5, 12, 10, 6, 12, 1, 10, 12, 2, 1, 12, 11, 2, 12, 3, 11, 12, 0, 3, 12 },
+/* 2,3,5 */ { 10, 2, 12, 5, 10, 12, 6, 5, 12, 11, 6, 12, 7, 11, 12, 4, 7, 12, 8, 4, 12, 3, 8, 12, 0, 3, 12, 9, 0, 12, 1, 9, 12, 2, 1, 12 },
+/* 3,4,6 */ { 12, 1, 9, 12, 9, 4, 12, 4, 5, 12, 5, 10, 12, 10, 6, 12, 6, 7, 12, 7, 11, 12, 11, 2, 12, 2, 3, 12, 3, 8, 12, 8, 0, 12, 0, 1 }
+} };
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.5.1
+ * The support edge for the interior test is marked as the 1st column.
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.5.1 */
+static const char tiling13_5_1[2][4][18] = {
+/* 165: 0, 2, 5, 7, */ {
+/* 1,2,5 */ { 7, 6, 11, 1, 0, 9, 10, 3, 2, 3, 10, 5, 3, 5, 8, 4, 8, 5 },
+/* 1,4,6 */ { 1, 2, 10, 7, 4, 8, 3, 0, 11, 6, 11, 0, 9, 6, 0, 6, 9, 5 },
+/* 2,3,6 */ { 3, 0, 8, 5, 6, 10, 1, 2, 9, 4, 9, 2, 11, 4, 2, 4, 11, 7 },
+/* 3,4,5 */ { 5, 4, 9, 3, 2, 11, 8, 1, 0, 1, 8, 7, 1, 7, 10, 6, 10, 7 }
+},
+/* 90: 1, 3, 4, 6, */ {
+/* 1,2,5 */ { 4, 7, 8, 2, 1, 10, 11, 0, 3, 0, 11, 6, 0, 6, 9, 5, 9, 6 },
+/* 1,4,6 */ { 2, 3, 11, 4, 5, 9, 0, 1, 8, 7, 8, 1, 10, 7, 1, 7, 10, 6 },
+/* 2,3,6 */ { 0, 1, 9, 6, 7, 11, 2, 3, 10, 5, 10, 3, 8, 5, 3, 5, 8, 4 },
+/* 3,4,5 */ { 6, 5, 10, 0, 3, 8, 9, 2, 1, 2, 9, 4, 2, 4, 11, 7, 11, 4 }
+} };
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 13.5.2
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+/* 13.5.2 */
+static const char tiling13_5_2[2][4][30] = {
+/* 165: 0, 2, 5, 7, */ {
+/* 1,2,5 */ { 1, 0, 9, 7, 4, 8, 7, 8, 3, 7, 3, 11, 2, 11, 3, 11, 2, 10, 11, 10, 6, 5, 6, 10, 6, 5, 7, 4, 7, 5 },
+/* 1,4,6 */ { 7, 4, 8, 11, 3, 2, 6, 11, 2, 10, 6, 2, 6, 10, 5, 9, 5, 10, 1, 9, 10, 9, 1, 0, 2, 0, 1, 0, 2, 3 },
+/* 2,3,6 */ { 5, 6, 10, 9, 1, 0, 4, 9, 0, 8, 4, 0, 4, 8, 7, 11, 7, 8, 3, 11, 8, 11, 3, 2, 0, 2, 3, 2, 0, 1 },
+/* 3,4,5 */ { 3, 2, 11, 5, 6, 10, 5, 10, 1, 5, 1, 9, 0, 9, 1, 9, 0, 8, 9, 8, 4, 4, 8, 7, 4, 7, 5, 6, 5, 7 }
+},
+/* 90: 1, 3, 4, 6, */ {
+/* 1,2,5 */ { 2, 1, 10, 4, 5, 9, 4, 9, 0, 4, 0, 8, 3, 8, 0, 8, 3, 11, 8, 11, 7, 6, 7, 11, 7, 6, 4, 5, 4, 6 },
+/* 1,4,6 */ { 4, 5, 9, 8, 0, 3, 7, 8, 3, 11, 7, 3, 7, 11, 6, 10, 6, 11, 2, 10, 11, 10, 2, 1, 3, 1, 2, 1, 3, 0 },
+/* 2,3,6 */ { 6, 7, 11, 10, 2, 1, 5, 10, 1, 9, 5, 1, 5, 9, 4, 8, 4, 9, 0, 8, 9, 8, 0, 3, 1, 3, 0, 3, 1, 2 },
+/* 3,4,5 */ { 0, 3, 8, 6, 7, 11, 6, 11, 2, 6, 2, 10, 1, 10, 2, 10, 1, 9, 10, 9, 5, 5, 9, 4, 5, 4, 6, 7, 6, 4 }
+} };
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief tiling table for case 14
+ * For each of the case above, the specific triangulation of the edge
+ * intersection points is given.
+ * When a case is ambiguous, there is an auxiliary table that contains
+ * the face number to test and the tiling table contains the specific
+ * triangulations depending on the results
+ * A minus sign means to invert the result of the test.
+ */
+//-----------------------------------------------------------------------------
+static const char tiling14[12][12] = {
+/* 71: 0, 1, 2, 6, */ { 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8 },
+/* 43: 0, 1, 3, 5, */ { 2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5 },
+/* 147: 0, 1, 4, 7, */ { 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6 },
+/* 29: 0, 2, 3, 4, */ { 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4 },
+/* 201: 0, 3, 6, 7, */ { 8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5 },
+/* 113: 0, 4, 5, 6, */ { 0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10 },
+/* 142: 1, 2, 3, 7, */ { 0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7 },
+/* 54: 1, 2, 4, 5, */ { 8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2 },
+/* 226: 1, 5, 6, 7, */ { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11 },
+/* 108: 2, 3, 5, 6, */ { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3 },
+/* 212: 2, 4, 6, 7, */ { 2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8 },
+/* 184: 3, 4, 5, 7, */ { 5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2 }
+};
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/**
+ * \brief original Marching Cubes implementation
+ * For each of the possible vertex states listed in this table there is a
+ * specific triangulation of the edge intersection points. The table lists
+ * all of them in the form of 0-5 edge triples with the list terminated by
+ * the invalid value -1. For example: casesClassic[3] list the 2 triangles
+ * formed when cube[0] and cube[1] are inside of the surface, but the rest of
+ * the cube is not.
+ */
+//-----------------------------------------------------------------------------
+static const char casesClassic[256][16] = {
+/* 0: */ { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 1: 0, */ { 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 2: 1, */ { 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 3: 0, 1, */ { 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 4: 2, */ { 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 5: 0, 2, */ { 0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 6: 1, 2, */ { 9, 2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 7: 0, 1, 2, */ { 2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 },
+/* 8: 3, */ { 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 9: 0, 3, */ { 0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 10: 1, 3, */ { 1, 9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 11: 0, 1, 3, */ { 1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 12: 2, 3, */ { 3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 13: 0, 2, 3, */ { 0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 },
+/* 14: 1, 2, 3, */ { 3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 },
+/* 15: 0, 1, 2, 3, */ { 9, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 16: 4, */ { 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 17: 0, 4, */ { 4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 18: 1, 4, */ { 0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 19: 0, 1, 4, */ { 4, 1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 },
+/* 20: 2, 4, */ { 1, 2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 21: 0, 2, 4, */ { 3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1 },
+/* 22: 1, 2, 4, */ { 9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 23: 0, 1, 2, 4, */ { 2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1 },
+/* 24: 3, 4, */ { 8, 4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 25: 0, 3, 4, */ { 11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1 },
+/* 26: 1, 3, 4, */ { 9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 27: 0, 1, 3, 4, */ { 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1 },
+/* 28: 2, 3, 4, */ { 3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1 },
+/* 29: 0, 2, 3, 4, */ { 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1 },
+/* 30: 1, 2, 3, 4, */ { 4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1 },
+/* 31: 0, 1, 2, 3, 4, */ { 4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1 },
+/* 32: 5, */ { 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 33: 0, 5, */ { 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 34: 1, 5, */ { 0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 35: 0, 1, 5, */ { 8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 36: 2, 5, */ { 1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 37: 0, 2, 5, */ { 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 38: 1, 2, 5, */ { 5, 2, 10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 },
+/* 39: 0, 1, 2, 5, */ { 2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 },
+/* 40: 3, 5, */ { 9, 5, 4, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 41: 0, 3, 5, */ { 0, 11, 2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 42: 1, 3, 5, */ { 0, 5, 4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 43: 0, 1, 3, 5, */ { 2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1 },
+/* 44: 2, 3, 5, */ { 10, 3, 11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1 },
+/* 45: 0, 2, 3, 5, */ { 4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1 },
+/* 46: 1, 2, 3, 5, */ { 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1 },
+/* 47: 0, 1, 2, 3, 5, */ { 5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 48: 4, 5, */ { 9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 49: 0, 4, 5, */ { 9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1 },
+/* 50: 1, 4, 5, */ { 0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 51: 0, 1, 4, 5, */ { 1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 52: 2, 4, 5, */ { 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1 },
+/* 53: 0, 2, 4, 5, */ { 10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 },
+/* 54: 1, 2, 4, 5, */ { 8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 },
+/* 55: 0, 1, 2, 4, 5, */ { 2, 10, 5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 56: 3, 4, 5, */ { 7, 9, 5, 7, 8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 },
+/* 57: 0, 3, 4, 5, */ { 9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 },
+/* 58: 1, 3, 4, 5, */ { 2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1 },
+/* 59: 0, 1, 3, 4, 5, */ { 11, 2, 1, 11, 1, 7, 7, 1, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 60: 2, 3, 4, 5, */ { 9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, -1, -1, -1, -1 },
+/* 61: 0, 2, 3, 4, 5, */ { 5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, -1 },
+/* 62: 1, 2, 3, 4, 5, */ { 11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, -1 },
+/* 63: 0, 1, 2, 3, 4, 5, */ { 11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 64: 6, */ { 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 65: 0, 6, */ { 0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 66: 1, 6, */ { 9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 67: 0, 1, 6, */ { 1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 68: 2, 6, */ { 1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 69: 0, 2, 6, */ { 1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1 },
+/* 70: 1, 2, 6, */ { 9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 71: 0, 1, 2, 6, */ { 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 },
+/* 72: 3, 6, */ { 2, 3, 11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 73: 0, 3, 6, */ { 11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 74: 1, 3, 6, */ { 0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 75: 0, 1, 3, 6, */ { 5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1 },
+/* 76: 2, 3, 6, */ { 6, 3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1 },
+/* 77: 0, 2, 3, 6, */ { 0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1 },
+/* 78: 1, 2, 3, 6, */ { 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1 },
+/* 79: 0, 1, 2, 3, 6, */ { 6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1 },
+/* 80: 4, 6, */ { 5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 81: 0, 4, 6, */ { 4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1 },
+/* 82: 1, 4, 6, */ { 1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 83: 0, 1, 4, 6, */ { 10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 },
+/* 84: 2, 4, 6, */ { 6, 1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 },
+/* 85: 0, 2, 4, 6, */ { 1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1 },
+/* 86: 1, 2, 4, 6, */ { 8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1 },
+/* 87: 0, 1, 2, 4, 6, */ { 7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1 },
+/* 88: 3, 4, 6, */ { 3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 89: 0, 3, 4, 6, */ { 5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1 },
+/* 90: 1, 3, 4, 6, */ { 0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1 },
+/* 91: 0, 1, 3, 4, 6, */ { 9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1 },
+/* 92: 2, 3, 4, 6, */ { 8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, -1, -1, -1, -1 },
+/* 93: 0, 2, 3, 4, 6, */ { 5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, -1 },
+/* 94: 1, 2, 3, 4, 6, */ { 0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, -1 },
+/* 95: 0, 1, 2, 3, 4, 6, */ { 6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1, -1, -1, -1 },
+/* 96: 5, 6, */ { 10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 97: 0, 5, 6, */ { 4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1 },
+/* 98: 1, 5, 6, */ { 10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1, -1 },
+/* 99: 0, 1, 5, 6, */ { 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1 },
+/* 100: 2, 5, 6, */ { 1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1 },
+/* 101: 0, 2, 5, 6, */ { 3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1 },
+/* 102: 1, 2, 5, 6, */ { 0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 103: 0, 1, 2, 5, 6, */ { 8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 104: 3, 5, 6, */ { 10, 4, 9, 10, 6, 4, 11, 2, 3, -1, -1, -1, -1, -1, -1, -1 },
+/* 105: 0, 3, 5, 6, */ { 0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, -1, -1, -1, -1 },
+/* 106: 1, 3, 5, 6, */ { 3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, -1, -1, -1, -1 },
+/* 107: 0, 1, 3, 5, 6, */ { 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, -1 },
+/* 108: 2, 3, 5, 6, */ { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1, -1, -1 },
+/* 109: 0, 2, 3, 5, 6, */ { 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1 },
+/* 110: 1, 2, 3, 5, 6, */ { 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1 },
+/* 111: 0, 1, 2, 3, 5, 6, */ { 6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 112: 4, 5, 6, */ { 7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1 },
+/* 113: 0, 4, 5, 6, */ { 0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1 },
+/* 114: 1, 4, 5, 6, */ { 10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1 },
+/* 115: 0, 1, 4, 5, 6, */ { 10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1, -1, -1, -1, -1, -1 },
+/* 116: 2, 4, 5, 6, */ { 1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, -1, -1, -1, -1 },
+/* 117: 0, 2, 4, 5, 6, */ { 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, -1 },
+/* 118: 1, 2, 4, 5, 6, */ { 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1, -1, -1 },
+/* 119: 0, 1, 2, 4, 5, 6, */ { 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 120: 3, 4, 5, 6, */ { 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1, -1 },
+/* 121: 0, 3, 4, 5, 6, */ { 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1 },
+/* 122: 1, 3, 4, 5, 6, */ { 1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1 },
+/* 123: 0, 1, 3, 4, 5, 6, */ { 11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1 },
+/* 124: 2, 3, 4, 5, 6, */ { 8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 },
+/* 125: 0, 2, 3, 4, 5, 6, */ { 0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 126: 1, 2, 3, 4, 5, 6, */ { 7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1 },
+/* 127: 0, 1, 2, 3, 4, 5, 6, */ { 7, 11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 128: 7, */ { 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 129: 0, 7, */ { 3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 130: 1, 7, */ { 0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 131: 0, 1, 7, */ { 8, 1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 132: 2, 7, */ { 10, 1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 133: 0, 2, 7, */ { 1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 134: 1, 2, 7, */ { 2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 135: 0, 1, 2, 7, */ { 6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1 },
+/* 136: 3, 7, */ { 7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 137: 0, 3, 7, */ { 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1 },
+/* 138: 1, 3, 7, */ { 2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1 },
+/* 139: 0, 1, 3, 7, */ { 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 },
+/* 140: 2, 3, 7, */ { 10, 7, 6, 10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 141: 0, 2, 3, 7, */ { 10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 },
+/* 142: 1, 2, 3, 7, */ { 0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1 },
+/* 143: 0, 1, 2, 3, 7, */ { 7, 6, 10, 7, 10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1 },
+/* 144: 4, 7, */ { 6, 8, 4, 11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 145: 0, 4, 7, */ { 3, 6, 11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 146: 1, 4, 7, */ { 8, 6, 11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1 },
+/* 147: 0, 1, 4, 7, */ { 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1 },
+/* 148: 2, 4, 7, */ { 6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1 },
+/* 149: 0, 2, 4, 7, */ { 1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1 },
+/* 150: 1, 2, 4, 7, */ { 4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1 },
+/* 151: 0, 1, 2, 4, 7, */ { 10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 },
+/* 152: 3, 4, 7, */ { 8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 },
+/* 153: 0, 3, 4, 7, */ { 0, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 154: 1, 3, 4, 7, */ { 1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 },
+/* 155: 0, 1, 3, 4, 7, */ { 1, 9, 4, 1, 4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 156: 2, 3, 4, 7, */ { 8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1 },
+/* 157: 0, 2, 3, 4, 7, */ { 10, 1, 0, 10, 0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1 },
+/* 158: 1, 2, 3, 4, 7, */ { 4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1 },
+/* 159: 0, 1, 2, 3, 4, 7, */ { 10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 160: 5, 7, */ { 4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 161: 0, 5, 7, */ { 0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 },
+/* 162: 1, 5, 7, */ { 5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 163: 0, 1, 5, 7, */ { 11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1 },
+/* 164: 2, 5, 7, */ { 9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 165: 0, 2, 5, 7, */ { 6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 },
+/* 166: 1, 2, 5, 7, */ { 7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 },
+/* 167: 0, 1, 2, 5, 7, */ { 3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, -1 },
+/* 168: 3, 5, 7, */ { 7, 2, 3, 7, 6, 2, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1 },
+/* 169: 0, 3, 5, 7, */ { 9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, -1, -1, -1, -1 },
+/* 170: 1, 3, 5, 7, */ { 3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1, -1, -1 },
+/* 171: 0, 1, 3, 5, 7, */ { 6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1 },
+/* 172: 2, 3, 5, 7, */ { 9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1 },
+/* 173: 0, 2, 3, 5, 7, */ { 1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1 },
+/* 174: 1, 2, 3, 5, 7, */ { 4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1 },
+/* 175: 0, 1, 2, 3, 5, 7, */ { 7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1, -1, -1 },
+/* 176: 4, 5, 7, */ { 6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1, -1, -1 },
+/* 177: 0, 4, 5, 7, */ { 3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1, -1 },
+/* 178: 1, 4, 5, 7, */ { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1, -1 },
+/* 179: 0, 1, 4, 5, 7, */ { 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1, -1 },
+/* 180: 2, 4, 5, 7, */ { 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1, -1 },
+/* 181: 0, 2, 4, 5, 7, */ { 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1 },
+/* 182: 1, 2, 4, 5, 7, */ { 11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 },
+/* 183: 0, 1, 2, 4, 5, 7, */ { 6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 },
+/* 184: 3, 4, 5, 7, */ { 5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 },
+/* 185: 0, 3, 4, 5, 7, */ { 9, 5, 6, 9, 6, 0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1 },
+/* 186: 1, 3, 4, 5, 7, */ { 1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, -1 },
+/* 187: 0, 1, 3, 4, 5, 7, */ { 1, 5, 6, 2, 1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 188: 2, 3, 4, 5, 7, */ { 1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, -1 },
+/* 189: 0, 2, 3, 4, 5, 7, */ { 10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1, -1, -1, -1 },
+/* 190: 1, 2, 3, 4, 5, 7, */ { 0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 191: 0, 1, 2, 3, 4, 5, 7, */ { 10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 192: 6, 7, */ { 11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 193: 0, 6, 7, */ { 11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1, -1, -1, -1, -1 },
+/* 194: 1, 6, 7, */ { 5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1 },
+/* 195: 0, 1, 6, 7, */ { 10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1 },
+/* 196: 2, 6, 7, */ { 11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1 },
+/* 197: 0, 2, 6, 7, */ { 0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 },
+/* 198: 1, 2, 6, 7, */ { 9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 },
+/* 199: 0, 1, 2, 6, 7, */ { 7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, -1 },
+/* 200: 3, 6, 7, */ { 2, 5, 10, 2, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 201: 0, 3, 6, 7, */ { 8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, -1, -1, -1, -1 },
+/* 202: 1, 3, 6, 7, */ { 9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, -1, -1, -1, -1 },
+/* 203: 0, 1, 3, 6, 7, */ { 9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, -1 },
+/* 204: 2, 3, 6, 7, */ { 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 205: 0, 2, 3, 6, 7, */ { 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1 },
+/* 206: 1, 2, 3, 6, 7, */ { 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1 },
+/* 207: 0, 1, 2, 3, 6, 7, */ { 9, 8, 7, 5, 9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 208: 4, 6, 7, */ { 5, 8, 4, 5, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1 },
+/* 209: 0, 4, 6, 7, */ { 5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1 },
+/* 210: 1, 4, 6, 7, */ { 0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1 },
+/* 211: 0, 1, 4, 6, 7, */ { 10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1 },
+/* 212: 2, 4, 6, 7, */ { 2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, -1, -1, -1, -1 },
+/* 213: 0, 2, 4, 6, 7, */ { 0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, -1 },
+/* 214: 1, 2, 4, 6, 7, */ { 0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, -1 },
+/* 215: 0, 1, 2, 4, 6, 7, */ { 9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 216: 3, 4, 6, 7, */ { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1, -1 },
+/* 217: 0, 3, 4, 6, 7, */ { 5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1 },
+/* 218: 1, 3, 4, 6, 7, */ { 3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1 },
+/* 219: 0, 1, 3, 4, 6, 7, */ { 5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, -1, -1, -1, -1 },
+/* 220: 2, 3, 4, 6, 7, */ { 8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1 },
+/* 221: 0, 2, 3, 4, 6, 7, */ { 0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 222: 1, 2, 3, 4, 6, 7, */ { 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, -1, -1, -1, -1 },
+/* 223: 0, 1, 2, 3, 4, 6, 7, */ { 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 224: 5, 6, 7, */ { 4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 225: 0, 5, 6, 7, */ { 0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, -1, -1, -1, -1 },
+/* 226: 1, 5, 6, 7, */ { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1, -1, -1, -1 },
+/* 227: 0, 1, 5, 6, 7, */ { 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, -1 },
+/* 228: 2, 5, 6, 7, */ { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1 },
+/* 229: 0, 2, 5, 6, 7, */ { 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1 },
+/* 230: 1, 2, 5, 6, 7, */ { 11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1 },
+/* 231: 0, 1, 2, 5, 6, 7, */ { 11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1 },
+/* 232: 3, 5, 6, 7, */ { 2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1, -1, -1, -1 },
+/* 233: 0, 3, 5, 6, 7, */ { 9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, -1 },
+/* 234: 1, 3, 5, 6, 7, */ { 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, -1 },
+/* 235: 0, 1, 3, 5, 6, 7, */ { 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 236: 2, 3, 5, 6, 7, */ { 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1, -1, -1 },
+/* 237: 0, 2, 3, 5, 6, 7, */ { 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1, -1 },
+/* 238: 1, 2, 3, 5, 6, 7, */ { 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 239: 0, 1, 2, 3, 5, 6, 7, */ { 4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 240: 4, 5, 6, 7, */ { 9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 241: 0, 4, 5, 6, 7, */ { 3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1 },
+/* 242: 1, 4, 5, 6, 7, */ { 0, 1, 10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1 },
+/* 243: 0, 1, 4, 5, 6, 7, */ { 3, 1, 10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 244: 2, 4, 5, 6, 7, */ { 1, 2, 11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1 },
+/* 245: 0, 2, 4, 5, 6, 7, */ { 3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1 },
+/* 246: 1, 2, 4, 5, 6, 7, */ { 0, 2, 11, 8, 0, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 247: 0, 1, 2, 4, 5, 6, 7, */ { 3, 2, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 248: 3, 4, 5, 6, 7, */ { 2, 3, 8, 2, 8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 },
+/* 249: 0, 3, 4, 5, 6, 7, */ { 9, 10, 2, 0, 9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 250: 1, 3, 4, 5, 6, 7, */ { 2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 },
+/* 251: 0, 1, 3, 4, 5, 6, 7, */ { 1, 10, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 252: 2, 3, 4, 5, 6, 7, */ { 1, 3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 253: 0, 2, 3, 4, 5, 6, 7, */ { 0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 254: 1, 2, 3, 4, 5, 6, 7, */ { 0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
+/* 255: 0, 1, 2, 3, 4, 5, 6, 7, */ { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }
+};
+//_____________________________________________________________________________
+
+
+
+#endif // _LOOKUPTABLE_H_
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.cpp b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.cpp
new file mode 100755
index 00000000000..d9012f0405a
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.cpp
@@ -0,0 +1,1302 @@
+/**
+ * @file MarchingCubes.cpp
+ * @author Thomas Lewiner <thomas.lewiner@polytechnique.org>
+ * @author Math Dept, PUC-Rio
+ * @version 0.2
+ * @date 12/08/2002
+ *
+ * @brief MarchingCubes Algorithm
+ */
+//________________________________________________
+
+
+#if !defined(WIN32) || defined(__CYGWIN__)
+#pragma implementation
+#endif // WIN32
+
+#include <math.h>
+#include <time.h>
+#include <memory.h>
+#include <stdlib.h>
+#include <float.h>
+#include "MarchingCubes.h"
+#include "ply.h"
+#include "LookUpTable.h"
+
+// step size of the arrays of vertices and triangles
+#define ALLOC_SIZE 65536
+
+//_____________________________________________________________________________
+// print cube for debug
+void MarchingCubes::print_cube() { printf( "\t%f %f %f %f %f %f %f %f\n", _cube[0], _cube[1], _cube[2], _cube[3], _cube[4], _cube[5], _cube[6], _cube[7]) ; }
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// Constructor
+MarchingCubes::MarchingCubes( const int size_x /*= -1*/, const int size_y /*= -1*/, const int size_z /*= -1*/ ) :
+//-----------------------------------------------------------------------------
+ _originalMC(false),
+ _ext_data (false),
+ _size_x (size_x),
+ _size_y (size_y),
+ _size_z (size_z),
+ _data ((real *)NULL),
+ _x_verts (( int *)NULL),
+ _y_verts (( int *)NULL),
+ _z_verts (( int *)NULL),
+ _nverts (0),
+ _ntrigs (0),
+ _Nverts (0),
+ _Ntrigs (0),
+ _vertices (( Vertex *)NULL),
+ _triangles ((Triangle*)NULL)
+{}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// Destructor
+MarchingCubes::~MarchingCubes()
+//-----------------------------------------------------------------------------
+{
+ clean_all() ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// main algorithm
+void MarchingCubes::run( real iso )
+//-----------------------------------------------------------------------------
+{
+ clock_t time = clock() ;
+
+ compute_intersection_points( iso ) ;
+
+ for( _k = 0 ; _k < _size_z-1 ; _k++ )
+ for( _j = 0 ; _j < _size_y-1 ; _j++ )
+ for( _i = 0 ; _i < _size_x-1 ; _i++ )
+ {
+ _lut_entry = 0 ;
+ for( int p = 0 ; p < 8 ; ++p )
+ {
+ _cube[p] = get_data( _i+((p^(p>>1))&1), _j+((p>>1)&1), _k+((p>>2)&1) ) - iso ;
+ if( fabs( _cube[p] ) < FLT_EPSILON ) _cube[p] = FLT_EPSILON ;
+ if( _cube[p] > 0 ) _lut_entry += 1 << p ;
+ }
+/*
+ if( ( _cube[0] = get_data( _i , _j , _k ) ) > 0 ) _lut_entry += 1 ;
+ if( ( _cube[1] = get_data(_i+1, _j , _k ) ) > 0 ) _lut_entry += 2 ;
+ if( ( _cube[2] = get_data(_i+1,_j+1, _k ) ) > 0 ) _lut_entry += 4 ;
+ if( ( _cube[3] = get_data( _i ,_j+1, _k ) ) > 0 ) _lut_entry += 8 ;
+ if( ( _cube[4] = get_data( _i , _j ,_k+1) ) > 0 ) _lut_entry += 16 ;
+ if( ( _cube[5] = get_data(_i+1, _j ,_k+1) ) > 0 ) _lut_entry += 32 ;
+ if( ( _cube[6] = get_data(_i+1,_j+1,_k+1) ) > 0 ) _lut_entry += 64 ;
+ if( ( _cube[7] = get_data( _i ,_j+1,_k+1) ) > 0 ) _lut_entry += 128 ;
+*/
+ process_cube( ) ;
+ }
+
+ printf("Marching Cubes ran in %lf secs.\n", (double)(clock() - time)/CLOCKS_PER_SEC) ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// init temporary structures (must set sizes before call)
+void MarchingCubes::init_temps()
+//-----------------------------------------------------------------------------
+{
+ if( !_ext_data )
+ _data = new real [_size_x * _size_y * _size_z] ;
+ _x_verts = new int [_size_x * _size_y * _size_z] ;
+ _y_verts = new int [_size_x * _size_y * _size_z] ;
+ _z_verts = new int [_size_x * _size_y * _size_z] ;
+
+ memset( _x_verts, -1, _size_x * _size_y * _size_z * sizeof( int ) ) ;
+ memset( _y_verts, -1, _size_x * _size_y * _size_z * sizeof( int ) ) ;
+ memset( _z_verts, -1, _size_x * _size_y * _size_z * sizeof( int ) ) ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// init all structures (must set sizes before call)
+void MarchingCubes::init_all ()
+//-----------------------------------------------------------------------------
+{
+ init_temps() ;
+
+ _nverts = _ntrigs = 0 ;
+ _Nverts = _Ntrigs = ALLOC_SIZE ;
+ _vertices = new Vertex [_Nverts] ;
+ _triangles = new Triangle[_Ntrigs] ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// clean temporary structures
+void MarchingCubes::clean_temps()
+//-----------------------------------------------------------------------------
+{
+ if( !_ext_data )
+ delete [] _data;
+ delete [] _x_verts;
+ delete [] _y_verts;
+ delete [] _z_verts;
+
+ if( !_ext_data )
+ _data = (real*)NULL ;
+ _x_verts = (int*)NULL ;
+ _y_verts = (int*)NULL ;
+ _z_verts = (int*)NULL ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// clean all structures
+void MarchingCubes::clean_all()
+//-----------------------------------------------------------------------------
+{
+ clean_temps() ;
+ delete [] _vertices ;
+ delete [] _triangles ;
+ _vertices = (Vertex *)NULL ;
+ _triangles = (Triangle *)NULL ;
+ _nverts = _ntrigs = 0 ;
+ _Nverts = _Ntrigs = 0 ;
+
+ _size_x = _size_y = _size_z = -1 ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+// Compute the intersection points
+void MarchingCubes::compute_intersection_points( real iso )
+//-----------------------------------------------------------------------------
+{
+ for( _k = 0 ; _k < _size_z ; _k++ )
+ for( _j = 0 ; _j < _size_y ; _j++ )
+ for( _i = 0 ; _i < _size_x ; _i++ )
+ {
+ _cube[0] = get_data( _i, _j, _k ) - iso ;
+ if( _i < _size_x - 1 ) _cube[1] = get_data(_i+1, _j , _k ) - iso ;
+ else _cube[1] = _cube[0] ;
+
+ if( _j < _size_y - 1 ) _cube[3] = get_data( _i ,_j+1, _k ) - iso ;
+ else _cube[3] = _cube[0] ;
+
+ if( _k < _size_z - 1 ) _cube[4] = get_data( _i , _j ,_k+1) - iso ;
+ else _cube[4] = _cube[0] ;
+
+ if( fabs( _cube[0] ) < FLT_EPSILON ) _cube[0] = FLT_EPSILON ;
+ if( fabs( _cube[1] ) < FLT_EPSILON ) _cube[1] = FLT_EPSILON ;
+ if( fabs( _cube[3] ) < FLT_EPSILON ) _cube[3] = FLT_EPSILON ;
+ if( fabs( _cube[4] ) < FLT_EPSILON ) _cube[4] = FLT_EPSILON ;
+
+ if( _cube[0] < 0 )
+ {
+ if( _cube[1] > 0 ) set_x_vert( add_x_vertex( ), _i,_j,_k ) ;
+ if( _cube[3] > 0 ) set_y_vert( add_y_vertex( ), _i,_j,_k ) ;
+ if( _cube[4] > 0 ) set_z_vert( add_z_vertex( ), _i,_j,_k ) ;
+ }
+ else
+ {
+ if( _cube[1] < 0 ) set_x_vert( add_x_vertex( ), _i,_j,_k ) ;
+ if( _cube[3] < 0 ) set_y_vert( add_y_vertex( ), _i,_j,_k ) ;
+ if( _cube[4] < 0 ) set_z_vert( add_z_vertex( ), _i,_j,_k ) ;
+ }
+ }
+}
+//_____________________________________________________________________________
+
+
+
+
+
+//_____________________________________________________________________________
+// Test a face
+// if face>0 return true if the face contains a part of the surface
+bool MarchingCubes::test_face( schar face )
+//-----------------------------------------------------------------------------
+{
+ real A,B,C,D ;
+
+ switch( face )
+ {
+ case -1 : case 1 : A = _cube[0] ; B = _cube[4] ; C = _cube[5] ; D = _cube[1] ; break ;
+ case -2 : case 2 : A = _cube[1] ; B = _cube[5] ; C = _cube[6] ; D = _cube[2] ; break ;
+ case -3 : case 3 : A = _cube[2] ; B = _cube[6] ; C = _cube[7] ; D = _cube[3] ; break ;
+ case -4 : case 4 : A = _cube[3] ; B = _cube[7] ; C = _cube[4] ; D = _cube[0] ; break ;
+ case -5 : case 5 : A = _cube[0] ; B = _cube[3] ; C = _cube[2] ; D = _cube[1] ; break ;
+ case -6 : case 6 : A = _cube[4] ; B = _cube[7] ; C = _cube[6] ; D = _cube[5] ; break ;
+ default : printf( "Invalid face code %d\n", face ) ; print_cube() ; A = B = C = D = 0 ;
+ };
+
+ if( fabs( A*C - B*D ) < FLT_EPSILON )
+ return face >= 0 ;
+ return face * A * ( A*C - B*D ) >= 0 ; // face and A invert signs
+}
+//_____________________________________________________________________________
+
+
+
+
+
+//_____________________________________________________________________________
+// Test the interior of a cube
+// if s == 7, return true if the interior is empty
+// if s ==-7, return false if the interior is empty
+bool MarchingCubes::test_interior( schar s )
+//-----------------------------------------------------------------------------
+{
+ real t, At=0, Bt=0, Ct=0, Dt=0, a, b ;
+ char test = 0 ;
+ char edge = -1 ; // reference edge of the triangulation
+
+ switch( _case )
+ {
+ case 4 :
+ case 10 :
+ a = ( _cube[4] - _cube[0] ) * ( _cube[6] - _cube[2] ) - ( _cube[7] - _cube[3] ) * ( _cube[5] - _cube[1] ) ;
+ b = _cube[2] * ( _cube[4] - _cube[0] ) + _cube[0] * ( _cube[6] - _cube[2] )
+ - _cube[1] * ( _cube[7] - _cube[3] ) - _cube[3] * ( _cube[5] - _cube[1] ) ;
+ t = - b / (2*a) ;
+ if( t<0 || t>1 ) return s>0 ;
+
+ At = _cube[0] + ( _cube[4] - _cube[0] ) * t ;
+ Bt = _cube[3] + ( _cube[7] - _cube[3] ) * t ;
+ Ct = _cube[2] + ( _cube[6] - _cube[2] ) * t ;
+ Dt = _cube[1] + ( _cube[5] - _cube[1] ) * t ;
+ break ;
+
+ case 6 :
+ case 7 :
+ case 12 :
+ case 13 :
+ switch( _case )
+ {
+ case 6 : edge = test6 [_config][2] ; break ;
+ case 7 : edge = test7 [_config][4] ; break ;
+ case 12 : edge = test12[_config][3] ; break ;
+ case 13 : edge = tiling13_5_1[_config][_subconfig][0] ; break ;
+ }
+ switch( edge )
+ {
+ case 0 :
+ t = _cube[0] / ( _cube[0] - _cube[1] ) ;
+ At = 0 ;
+ Bt = _cube[3] + ( _cube[2] - _cube[3] ) * t ;
+ Ct = _cube[7] + ( _cube[6] - _cube[7] ) * t ;
+ Dt = _cube[4] + ( _cube[5] - _cube[4] ) * t ;
+ break ;
+ case 1 :
+ t = _cube[1] / ( _cube[1] - _cube[2] ) ;
+ At = 0 ;
+ Bt = _cube[0] + ( _cube[3] - _cube[0] ) * t ;
+ Ct = _cube[4] + ( _cube[7] - _cube[4] ) * t ;
+ Dt = _cube[5] + ( _cube[6] - _cube[5] ) * t ;
+ break ;
+ case 2 :
+ t = _cube[2] / ( _cube[2] - _cube[3] ) ;
+ At = 0 ;
+ Bt = _cube[1] + ( _cube[0] - _cube[1] ) * t ;
+ Ct = _cube[5] + ( _cube[4] - _cube[5] ) * t ;
+ Dt = _cube[6] + ( _cube[7] - _cube[6] ) * t ;
+ break ;
+ case 3 :
+ t = _cube[3] / ( _cube[3] - _cube[0] ) ;
+ At = 0 ;
+ Bt = _cube[2] + ( _cube[1] - _cube[2] ) * t ;
+ Ct = _cube[6] + ( _cube[5] - _cube[6] ) * t ;
+ Dt = _cube[7] + ( _cube[4] - _cube[7] ) * t ;
+ break ;
+ case 4 :
+ t = _cube[4] / ( _cube[4] - _cube[5] ) ;
+ At = 0 ;
+ Bt = _cube[7] + ( _cube[6] - _cube[7] ) * t ;
+ Ct = _cube[3] + ( _cube[2] - _cube[3] ) * t ;
+ Dt = _cube[0] + ( _cube[1] - _cube[0] ) * t ;
+ break ;
+ case 5 :
+ t = _cube[5] / ( _cube[5] - _cube[6] ) ;
+ At = 0 ;
+ Bt = _cube[4] + ( _cube[7] - _cube[4] ) * t ;
+ Ct = _cube[0] + ( _cube[3] - _cube[0] ) * t ;
+ Dt = _cube[1] + ( _cube[2] - _cube[1] ) * t ;
+ break ;
+ case 6 :
+ t = _cube[6] / ( _cube[6] - _cube[7] ) ;
+ At = 0 ;
+ Bt = _cube[5] + ( _cube[4] - _cube[5] ) * t ;
+ Ct = _cube[1] + ( _cube[0] - _cube[1] ) * t ;
+ Dt = _cube[2] + ( _cube[3] - _cube[2] ) * t ;
+ break ;
+ case 7 :
+ t = _cube[7] / ( _cube[7] - _cube[4] ) ;
+ At = 0 ;
+ Bt = _cube[6] + ( _cube[5] - _cube[6] ) * t ;
+ Ct = _cube[2] + ( _cube[1] - _cube[2] ) * t ;
+ Dt = _cube[3] + ( _cube[0] - _cube[3] ) * t ;
+ break ;
+ case 8 :
+ t = _cube[0] / ( _cube[0] - _cube[4] ) ;
+ At = 0 ;
+ Bt = _cube[3] + ( _cube[7] - _cube[3] ) * t ;
+ Ct = _cube[2] + ( _cube[6] - _cube[2] ) * t ;
+ Dt = _cube[1] + ( _cube[5] - _cube[1] ) * t ;
+ break ;
+ case 9 :
+ t = _cube[1] / ( _cube[1] - _cube[5] ) ;
+ At = 0 ;
+ Bt = _cube[0] + ( _cube[4] - _cube[0] ) * t ;
+ Ct = _cube[3] + ( _cube[7] - _cube[3] ) * t ;
+ Dt = _cube[2] + ( _cube[6] - _cube[2] ) * t ;
+ break ;
+ case 10 :
+ t = _cube[2] / ( _cube[2] - _cube[6] ) ;
+ At = 0 ;
+ Bt = _cube[1] + ( _cube[5] - _cube[1] ) * t ;
+ Ct = _cube[0] + ( _cube[4] - _cube[0] ) * t ;
+ Dt = _cube[3] + ( _cube[7] - _cube[3] ) * t ;
+ break ;
+ case 11 :
+ t = _cube[3] / ( _cube[3] - _cube[7] ) ;
+ At = 0 ;
+ Bt = _cube[2] + ( _cube[6] - _cube[2] ) * t ;
+ Ct = _cube[1] + ( _cube[5] - _cube[1] ) * t ;
+ Dt = _cube[0] + ( _cube[4] - _cube[0] ) * t ;
+ break ;
+ default : printf( "Invalid edge %d\n", edge ) ; print_cube() ; break ;
+ }
+ break ;
+
+ default : printf( "Invalid ambiguous case %d\n", _case ) ; print_cube() ; break ;
+ }
+
+ if( At >= 0 ) test ++ ;
+ if( Bt >= 0 ) test += 2 ;
+ if( Ct >= 0 ) test += 4 ;
+ if( Dt >= 0 ) test += 8 ;
+ switch( test )
+ {
+ case 0 : return s>0 ;
+ case 1 : return s>0 ;
+ case 2 : return s>0 ;
+ case 3 : return s>0 ;
+ case 4 : return s>0 ;
+ case 5 : if( At * Ct - Bt * Dt < FLT_EPSILON ) return s>0 ; break ;
+ case 6 : return s>0 ;
+ case 7 : return s<0 ;
+ case 8 : return s>0 ;
+ case 9 : return s>0 ;
+ case 10 : if( At * Ct - Bt * Dt >= FLT_EPSILON ) return s>0 ; break ;
+ case 11 : return s<0 ;
+ case 12 : return s>0 ;
+ case 13 : return s<0 ;
+ case 14 : return s<0 ;
+ case 15 : return s<0 ;
+ }
+
+ return s<0 ;
+}
+//_____________________________________________________________________________
+
+
+
+
+//_____________________________________________________________________________
+// Process a unit cube
+void MarchingCubes::process_cube( )
+//-----------------------------------------------------------------------------
+{
+ if( _originalMC )
+ {
+ char nt = 0 ;
+ while( casesClassic[_lut_entry][3*nt] != -1 ) nt++ ;
+ add_triangle( casesClassic[_lut_entry], nt ) ;
+ return ;
+ }
+
+ int v12 = -1 ;
+ _case = cases[_lut_entry][0] ;
+ _config = cases[_lut_entry][1] ;
+ _subconfig = 0 ;
+
+ switch( _case )
+ {
+ case 0 :
+ break ;
+
+ case 1 :
+ add_triangle( tiling1[_config], 1 ) ;
+ break ;
+
+ case 2 :
+ add_triangle( tiling2[_config], 2 ) ;
+ break ;
+
+ case 3 :
+ if( test_face( test3[_config]) )
+ add_triangle( tiling3_2[_config], 4 ) ; // 3.2
+ else
+ add_triangle( tiling3_1[_config], 2 ) ; // 3.1
+ break ;
+
+ case 4 :
+ if( test_interior( test4[_config]) )
+ add_triangle( tiling4_1[_config], 2 ) ; // 4.1.1
+ else
+ add_triangle( tiling4_2[_config], 6 ) ; // 4.1.2
+ break ;
+
+ case 5 :
+ add_triangle( tiling5[_config], 3 ) ;
+ break ;
+
+ case 6 :
+ if( test_face( test6[_config][0]) )
+ add_triangle( tiling6_2[_config], 5 ) ; // 6.2
+ else
+ {
+ if( test_interior( test6[_config][1]) )
+ add_triangle( tiling6_1_1[_config], 3 ) ; // 6.1.1
+ else
+ {
+ v12 = add_c_vertex() ;
+ add_triangle( tiling6_1_2[_config], 9 , v12) ; // 6.1.2
+ }
+ }
+ break ;
+
+ case 7 :
+ if( test_face( test7[_config][0] ) ) _subconfig += 1 ;
+ if( test_face( test7[_config][1] ) ) _subconfig += 2 ;
+ if( test_face( test7[_config][2] ) ) _subconfig += 4 ;
+ switch( _subconfig )
+ {
+ case 0 :
+ add_triangle( tiling7_1[_config], 3 ) ; break ;
+ case 1 :
+ add_triangle( tiling7_2[_config][0], 5 ) ; break ;
+ case 2 :
+ add_triangle( tiling7_2[_config][1], 5 ) ; break ;
+ case 3 :
+ v12 = add_c_vertex() ;
+ add_triangle( tiling7_3[_config][0], 9, v12 ) ; break ;
+ case 4 :
+ add_triangle( tiling7_2[_config][2], 5 ) ; break ;
+ case 5 :
+ v12 = add_c_vertex() ;
+ add_triangle( tiling7_3[_config][1], 9, v12 ) ; break ;
+ case 6 :
+ v12 = add_c_vertex() ;
+ add_triangle( tiling7_3[_config][2], 9, v12 ) ; break ;
+ case 7 :
+ if( test_interior( test7[_config][3]) )
+ add_triangle( tiling7_4_2[_config], 9 ) ;
+ else
+ add_triangle( tiling7_4_1[_config], 5 ) ;
+ break ;
+ };
+ break ;
+
+ case 8 :
+ add_triangle( tiling8[_config], 2 ) ;
+ break ;
+
+ case 9 :
+ add_triangle( tiling9[_config], 4 ) ;
+ break ;
+
+ case 10 :
+ if( test_face( test10[_config][0]) )
+ {
+ if( test_face( test10[_config][1]) )
+ add_triangle( tiling10_1_1_[_config], 4 ) ; // 10.1.1
+ else
+ {
+ v12 = add_c_vertex() ;
+ add_triangle( tiling10_2[_config], 8, v12 ) ; // 10.2
+ }
+ }
+ else
+ {
+ if( test_face( test10[_config][1]) )
+ {
+ v12 = add_c_vertex() ;
+ add_triangle( tiling10_2_[_config], 8, v12 ) ; // 10.2
+ }
+ else
+ {
+ if( test_interior( test10[_config][2]) )
+ add_triangle( tiling10_1_1[_config], 4 ) ; // 10.1.1
+ else
+ add_triangle( tiling10_1_2[_config], 8 ) ; // 10.1.2
+ }
+ }
+ break ;
+
+ case 11 :
+ add_triangle( tiling11[_config], 4 ) ;
+ break ;
+
+ case 12 :
+ if( test_face( test12[_config][0]) )
+ {
+ if( test_face( test12[_config][1]) )
+ add_triangle( tiling12_1_1_[_config], 4 ) ; // 12.1.1
+ else
+ {
+ v12 = add_c_vertex() ;
+ add_triangle( tiling12_2[_config], 8, v12 ) ; // 12.2
+ }
+ }
+ else
+ {
+ if( test_face( test12[_config][1]) )
+ {
+ v12 = add_c_vertex() ;
+ add_triangle( tiling12_2_[_config], 8, v12 ) ; // 12.2
+ }
+ else
+ {
+ if( test_interior( test12[_config][2]) )
+ add_triangle( tiling12_1_1[_config], 4 ) ; // 12.1.1
+ else
+ add_triangle( tiling12_1_2[_config], 8 ) ; // 12.1.2
+ }
+ }
+ break ;
+
+ case 13 :
+ if( test_face( test13[_config][0] ) ) _subconfig += 1 ;
+ if( test_face( test13[_config][1] ) ) _subconfig += 2 ;
+ if( test_face( test13[_config][2] ) ) _subconfig += 4 ;
+ if( test_face( test13[_config][3] ) ) _subconfig += 8 ;
+ if( test_face( test13[_config][4] ) ) _subconfig += 16 ;
+ if( test_face( test13[_config][5] ) ) _subconfig += 32 ;
+ switch( subconfig13[_subconfig] )
+ {
+ case 0 :/* 13.1 */
+ add_triangle( tiling13_1[_config], 4 ) ; break ;
+
+ case 1 :/* 13.2 */
+ add_triangle( tiling13_2[_config][0], 6 ) ; break ;
+ case 2 :/* 13.2 */
+ add_triangle( tiling13_2[_config][1], 6 ) ; break ;
+ case 3 :/* 13.2 */
+ add_triangle( tiling13_2[_config][2], 6 ) ; break ;
+ case 4 :/* 13.2 */
+ add_triangle( tiling13_2[_config][3], 6 ) ; break ;
+ case 5 :/* 13.2 */
+ add_triangle( tiling13_2[_config][4], 6 ) ; break ;
+ case 6 :/* 13.2 */
+ add_triangle( tiling13_2[_config][5], 6 ) ; break ;
+
+ case 7 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][0], 10, v12 ) ; break ;
+ case 8 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][1], 10, v12 ) ; break ;
+ case 9 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][2], 10, v12 ) ; break ;
+ case 10 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][3], 10, v12 ) ; break ;
+ case 11 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][4], 10, v12 ) ; break ;
+ case 12 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][5], 10, v12 ) ; break ;
+ case 13 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][6], 10, v12 ) ; break ;
+ case 14 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][7], 10, v12 ) ; break ;
+ case 15 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][8], 10, v12 ) ; break ;
+ case 16 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][9], 10, v12 ) ; break ;
+ case 17 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][10], 10, v12 ) ; break ;
+ case 18 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3[_config][11], 10, v12 ) ; break ;
+
+ case 19 :/* 13.4 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_4[_config][0], 12, v12 ) ; break ;
+ case 20 :/* 13.4 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_4[_config][1], 12, v12 ) ; break ;
+ case 21 :/* 13.4 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_4[_config][2], 12, v12 ) ; break ;
+ case 22 :/* 13.4 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_4[_config][3], 12, v12 ) ; break ;
+
+ case 23 :/* 13.5 */
+ _subconfig = 0 ;
+ if( test_interior( test13[_config][6] ) )
+ add_triangle( tiling13_5_1[_config][0], 6 ) ;
+ else
+ add_triangle( tiling13_5_2[_config][0], 10 ) ;
+ break ;
+ case 24 :/* 13.5 */
+ _subconfig = 1 ;
+ if( test_interior( test13[_config][6] ) )
+ add_triangle( tiling13_5_1[_config][1], 6 ) ;
+ else
+ add_triangle( tiling13_5_2[_config][1], 10 ) ;
+ break ;
+ case 25 :/* 13.5 */
+ _subconfig = 2 ;
+ if( test_interior( test13[_config][6] ) )
+ add_triangle( tiling13_5_1[_config][2], 6 ) ;
+ else
+ add_triangle( tiling13_5_2[_config][2], 10 ) ;
+ break ;
+ case 26 :/* 13.5 */
+ _subconfig = 3 ;
+ if( test_interior( test13[_config][6] ) )
+ add_triangle( tiling13_5_1[_config][3], 6 ) ;
+ else
+ add_triangle( tiling13_5_2[_config][3], 10 ) ;
+ break ;
+
+ case 27 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][0], 10, v12 ) ; break ;
+ case 28 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][1], 10, v12 ) ; break ;
+ case 29 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][2], 10, v12 ) ; break ;
+ case 30 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][3], 10, v12 ) ; break ;
+ case 31 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][4], 10, v12 ) ; break ;
+ case 32 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][5], 10, v12 ) ; break ;
+ case 33 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][6], 10, v12 ) ; break ;
+ case 34 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][7], 10, v12 ) ; break ;
+ case 35 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][8], 10, v12 ) ; break ;
+ case 36 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][9], 10, v12 ) ; break ;
+ case 37 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][10], 10, v12 ) ; break ;
+ case 38 :/* 13.3 */
+ v12 = add_c_vertex() ;
+ add_triangle( tiling13_3_[_config][11], 10, v12 ) ; break ;
+
+ case 39 :/* 13.2 */
+ add_triangle( tiling13_2_[_config][0], 6 ) ; break ;
+ case 40 :/* 13.2 */
+ add_triangle( tiling13_2_[_config][1], 6 ) ; break ;
+ case 41 :/* 13.2 */
+ add_triangle( tiling13_2_[_config][2], 6 ) ; break ;
+ case 42 :/* 13.2 */
+ add_triangle( tiling13_2_[_config][3], 6 ) ; break ;
+ case 43 :/* 13.2 */
+ add_triangle( tiling13_2_[_config][4], 6 ) ; break ;
+ case 44 :/* 13.2 */
+ add_triangle( tiling13_2_[_config][5], 6 ) ; break ;
+
+ case 45 :/* 13.1 */
+ add_triangle( tiling13_1_[_config], 4 ) ; break ;
+
+ default :
+ printf("Marching Cubes: Impossible case 13?\n" ) ; print_cube() ;
+ }
+ break ;
+
+ case 14 :
+ add_triangle( tiling14[_config], 4 ) ;
+ break ;
+ };
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// Adding triangles
+void MarchingCubes::add_triangle( const char* trig, char n, int v12 )
+//-----------------------------------------------------------------------------
+{
+ int tv[3] ;
+
+ for( int t = 0 ; t < 3*n ; t++ )
+ {
+ switch( trig[t] )
+ {
+ case 0 : tv[ t % 3 ] = get_x_vert( _i , _j , _k ) ; break ;
+ case 1 : tv[ t % 3 ] = get_y_vert(_i+1, _j , _k ) ; break ;
+ case 2 : tv[ t % 3 ] = get_x_vert( _i ,_j+1, _k ) ; break ;
+ case 3 : tv[ t % 3 ] = get_y_vert( _i , _j , _k ) ; break ;
+ case 4 : tv[ t % 3 ] = get_x_vert( _i , _j ,_k+1) ; break ;
+ case 5 : tv[ t % 3 ] = get_y_vert(_i+1, _j ,_k+1) ; break ;
+ case 6 : tv[ t % 3 ] = get_x_vert( _i ,_j+1,_k+1) ; break ;
+ case 7 : tv[ t % 3 ] = get_y_vert( _i , _j ,_k+1) ; break ;
+ case 8 : tv[ t % 3 ] = get_z_vert( _i , _j , _k ) ; break ;
+ case 9 : tv[ t % 3 ] = get_z_vert(_i+1, _j , _k ) ; break ;
+ case 10 : tv[ t % 3 ] = get_z_vert(_i+1,_j+1, _k ) ; break ;
+ case 11 : tv[ t % 3 ] = get_z_vert( _i ,_j+1, _k ) ; break ;
+ case 12 : tv[ t % 3 ] = v12 ; break ;
+ default : break ;
+ }
+
+ if( tv[t%3] == -1 )
+ {
+ printf("Marching Cubes: invalid triangle %d\n", _ntrigs+1) ;
+ print_cube() ;
+ }
+
+ if( t%3 == 2 )
+ {
+ if( _ntrigs >= _Ntrigs )
+ {
+ Triangle *temp = _triangles ;
+ _triangles = new Triangle[ 2*_Ntrigs ] ;
+ memcpy( _triangles, temp, _Ntrigs*sizeof(Triangle) ) ;
+ delete[] temp ;
+ printf("%d allocated triangles\n", _Ntrigs) ;
+ _Ntrigs *= 2 ;
+ }
+
+ Triangle *T = _triangles + _ntrigs++ ;
+ T->v1 = tv[0] ;
+ T->v2 = tv[1] ;
+ T->v3 = tv[2] ;
+ }
+ }
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// Calculating gradient
+
+real MarchingCubes::get_x_grad( const int i, const int j, const int k ) const
+//-----------------------------------------------------------------------------
+{
+ if( i > 0 )
+ {
+ if ( i < _size_x - 1 )
+ return ( get_data( i+1, j, k ) - get_data( i-1, j, k ) ) / 2 ;
+ else
+ return get_data( i, j, k ) - get_data( i-1, j, k ) ;
+ }
+ else
+ return get_data( i+1, j, k ) - get_data( i, j, k ) ;
+}
+//-----------------------------------------------------------------------------
+
+real MarchingCubes::get_y_grad( const int i, const int j, const int k ) const
+//-----------------------------------------------------------------------------
+{
+ if( j > 0 )
+ {
+ if ( j < _size_y - 1 )
+ return ( get_data( i, j+1, k ) - get_data( i, j-1, k ) ) / 2 ;
+ else
+ return get_data( i, j, k ) - get_data( i, j-1, k ) ;
+ }
+ else
+ return get_data( i, j+1, k ) - get_data( i, j, k ) ;
+}
+//-----------------------------------------------------------------------------
+
+real MarchingCubes::get_z_grad( const int i, const int j, const int k ) const
+//-----------------------------------------------------------------------------
+{
+ if( k > 0 )
+ {
+ if ( k < _size_z - 1 )
+ return ( get_data( i, j, k+1 ) - get_data( i, j, k-1 ) ) / 2 ;
+ else
+ return get_data( i, j, k ) - get_data( i, j, k-1 ) ;
+ }
+ else
+ return get_data( i, j, k+1 ) - get_data( i, j, k ) ;
+}
+//_____________________________________________________________________________
+
+
+//_____________________________________________________________________________
+// Adding vertices
+
+void MarchingCubes::test_vertex_addition()
+{
+ if( _nverts >= _Nverts )
+ {
+ Vertex *temp = _vertices ;
+ _vertices = new Vertex[ _Nverts*2 ] ;
+ memcpy( _vertices, temp, _Nverts*sizeof(Vertex) ) ;
+ delete[] temp ;
+ printf("%d allocated vertices\n", _Nverts) ;
+ _Nverts *= 2 ;
+ }
+}
+
+
+int MarchingCubes::add_x_vertex( )
+//-----------------------------------------------------------------------------
+{
+ test_vertex_addition() ;
+ Vertex *vert = _vertices + _nverts++ ;
+
+ real u = ( _cube[0] ) / ( _cube[0] - _cube[1] ) ;
+
+ vert->x = (real)_i+u;
+ vert->y = (real) _j ;
+ vert->z = (real) _k ;
+
+ vert->nx = (1-u)*get_x_grad(_i,_j,_k) + u*get_x_grad(_i+1,_j,_k) ;
+ vert->ny = (1-u)*get_y_grad(_i,_j,_k) + u*get_y_grad(_i+1,_j,_k) ;
+ vert->nz = (1-u)*get_z_grad(_i,_j,_k) + u*get_z_grad(_i+1,_j,_k) ;
+
+ u = (real) sqrt( vert->nx * vert->nx + vert->ny * vert->ny +vert->nz * vert->nz ) ;
+ if( u > 0 )
+ {
+ vert->nx /= u ;
+ vert->ny /= u ;
+ vert->nz /= u ;
+ }
+
+
+ return _nverts-1 ;
+}
+//-----------------------------------------------------------------------------
+
+int MarchingCubes::add_y_vertex( )
+//-----------------------------------------------------------------------------
+{
+ test_vertex_addition() ;
+ Vertex *vert = _vertices + _nverts++ ;
+
+ real u = ( _cube[0] ) / ( _cube[0] - _cube[3] ) ;
+
+ vert->x = (real) _i ;
+ vert->y = (real)_j+u;
+ vert->z = (real) _k ;
+
+ vert->nx = (1-u)*get_x_grad(_i,_j,_k) + u*get_x_grad(_i,_j+1,_k) ;
+ vert->ny = (1-u)*get_y_grad(_i,_j,_k) + u*get_y_grad(_i,_j+1,_k) ;
+ vert->nz = (1-u)*get_z_grad(_i,_j,_k) + u*get_z_grad(_i,_j+1,_k) ;
+
+ u = (real) sqrt( vert->nx * vert->nx + vert->ny * vert->ny +vert->nz * vert->nz ) ;
+ if( u > 0 )
+ {
+ vert->nx /= u ;
+ vert->ny /= u ;
+ vert->nz /= u ;
+ }
+
+ return _nverts-1 ;
+}
+//-----------------------------------------------------------------------------
+
+int MarchingCubes::add_z_vertex( )
+//-----------------------------------------------------------------------------
+{
+ test_vertex_addition() ;
+ Vertex *vert = _vertices + _nverts++ ;
+
+ real u = ( _cube[0] ) / ( _cube[0] - _cube[4] ) ;
+
+ vert->x = (real) _i ;
+ vert->y = (real) _j ;
+ vert->z = (real)_k+u;
+
+ vert->nx = (1-u)*get_x_grad(_i,_j,_k) + u*get_x_grad(_i,_j,_k+1) ;
+ vert->ny = (1-u)*get_y_grad(_i,_j,_k) + u*get_y_grad(_i,_j,_k+1) ;
+ vert->nz = (1-u)*get_z_grad(_i,_j,_k) + u*get_z_grad(_i,_j,_k+1) ;
+
+ u = (real) sqrt( vert->nx * vert->nx + vert->ny * vert->ny +vert->nz * vert->nz ) ;
+ if( u > 0 )
+ {
+ vert->nx /= u ;
+ vert->ny /= u ;
+ vert->nz /= u ;
+ }
+
+ return _nverts-1 ;
+}
+
+
+int MarchingCubes::add_c_vertex( )
+//-----------------------------------------------------------------------------
+{
+ test_vertex_addition() ;
+ Vertex *vert = _vertices + _nverts++ ;
+
+ real u = 0 ;
+ int vid ;
+
+ vert->x = vert->y = vert->z = vert->nx = vert->ny = vert->nz = 0 ;
+
+ // Computes the average of the intersection points of the cube
+ vid = get_x_vert( _i , _j , _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_y_vert(_i+1, _j , _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_x_vert( _i ,_j+1, _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_y_vert( _i , _j , _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_x_vert( _i , _j ,_k+1) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_y_vert(_i+1, _j ,_k+1) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_x_vert( _i ,_j+1,_k+1) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_y_vert( _i , _j ,_k+1) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_z_vert( _i , _j , _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_z_vert(_i+1, _j , _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_z_vert(_i+1,_j+1, _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+ vid = get_z_vert( _i ,_j+1, _k ) ;
+ if( vid != -1 ) { ++u ; const Vertex &v = _vertices[vid] ; vert->x += v.x ; vert->y += v.y ; vert->z += v.z ; vert->nx += v.nx ; vert->ny += v.ny ; vert->nz += v.nz ; }
+
+ vert->x /= u ;
+ vert->y /= u ;
+ vert->z /= u ;
+
+ u = (real) sqrt( vert->nx * vert->nx + vert->ny * vert->ny +vert->nz * vert->nz ) ;
+ if( u > 0 )
+ {
+ vert->nx /= u ;
+ vert->ny /= u ;
+ vert->nz /= u ;
+ }
+
+ return _nverts-1 ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+//_____________________________________________________________________________
+
+
+
+
+//_____________________________________________________________________________
+// Grid exportation
+void MarchingCubes::writeISO(const char *fn )
+//-----------------------------------------------------------------------------
+{
+ unsigned char buf[sizeof(float)] ;
+
+ FILE *fp = fopen( fn, "wb" ) ;
+
+ // header
+ * (int*) buf = _size_x ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (int*) buf = _size_y ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (int*) buf = _size_z ;
+ fwrite(buf, sizeof(float), 1, fp);
+
+ * (float*) buf = -1.0f ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (float*) buf = 1.0f ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (float*) buf = -1.0f ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (float*) buf = 1.0f ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (float*) buf = -1.0f ;
+ fwrite(buf, sizeof(float), 1, fp);
+ * (float*) buf = 1.0f ;
+ fwrite(buf, sizeof(float), 1, fp);
+
+ for( int i = 0 ; i < _size_x ; i++ )
+ {
+ for( int j = 0 ; j < _size_y ; j++ )
+ {
+ for( int k = 0 ; k < _size_z ; k++ )
+ {
+ * (float*) buf = (float)get_data( i,j,k ) ;
+ fwrite(buf, sizeof(float), 1, fp);
+ }
+ }
+ }
+
+ fclose(fp) ;
+}
+//_____________________________________________________________________________
+
+
+
+
+
+//_____________________________________________________________________________
+// PLY exportation
+void MarchingCubes::writePLY(const char *fn, bool bin )
+//-----------------------------------------------------------------------------
+{
+
+ typedef struct PlyFace {
+ unsigned char nverts; /* number of Vertex indices in list */
+ int *verts; /* Vertex index list */
+ } PlyFace;
+
+
+ PlyProperty vert_props[] = { /* list of property information for a PlyVertex */
+ {"x", Float32, Float32, offsetof( Vertex,x ), 0, 0, 0, 0},
+ {"y", Float32, Float32, offsetof( Vertex,y ), 0, 0, 0, 0},
+ {"z", Float32, Float32, offsetof( Vertex,z ), 0, 0, 0, 0},
+ {"nx", Float32, Float32, offsetof( Vertex,nx ), 0, 0, 0, 0},
+ {"ny", Float32, Float32, offsetof( Vertex,ny ), 0, 0, 0, 0},
+ {"nz", Float32, Float32, offsetof( Vertex,nz ), 0, 0, 0, 0}
+ };
+
+ PlyProperty face_props[] = { /* list of property information for a PlyFace */
+ {"vertex_indices", Int32, Int32, offsetof( PlyFace,verts ),
+ 1, Uint8, Uint8, offsetof( PlyFace,nverts )},
+ };
+
+
+ PlyFile *ply;
+ FILE *fp = fopen( fn, "w" );
+
+ int i ;
+ PlyFace face ;
+ int verts[3] ;
+ char *elem_names[] = { "vertex", "face" };
+ printf("Marching Cubes::writePLY(%s)...", fn ) ;
+ ply = write_ply ( fp, 2, elem_names, bin? PLY_BINARY_LE : PLY_ASCII );
+
+ /* describe what properties go into the PlyVertex elements */
+ describe_element_ply ( ply, "vertex", _nverts );
+ describe_property_ply ( ply, &vert_props[0] );
+ describe_property_ply ( ply, &vert_props[1] );
+ describe_property_ply ( ply, &vert_props[2] );
+ describe_property_ply ( ply, &vert_props[3] );
+ describe_property_ply ( ply, &vert_props[4] );
+ describe_property_ply ( ply, &vert_props[5] );
+
+ /* describe PlyFace properties (just list of PlyVertex indices) */
+ describe_element_ply ( ply, "face", _ntrigs );
+ describe_property_ply ( ply, &face_props[0] );
+
+ header_complete_ply ( ply );
+
+ /* set up and write the PlyVertex elements */
+ put_element_setup_ply ( ply, "vertex" );
+ for ( i = 0; i < _nverts; i++ )
+ put_element_ply ( ply, ( void * ) &(_vertices[i]) );
+ printf(" %d vertices written\n", _nverts ) ;
+
+ /* set up and write the PlyFace elements */
+ put_element_setup_ply ( ply, "face" );
+ face.nverts = 3 ;
+ face.verts = verts ;
+ for ( i = 0; i < _ntrigs; i++ )
+ {
+ face.verts[0] = _triangles[i].v1 ;
+ face.verts[1] = _triangles[i].v2 ;
+ face.verts[2] = _triangles[i].v3 ;
+ put_element_ply ( ply, ( void * ) &face );
+ }
+ printf(" %d triangles written\n", _ntrigs ) ;
+
+ close_ply ( ply );
+ free_ply ( ply );
+ fclose( fp ) ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// PLY importation
+void MarchingCubes::readPLY(const char *fn )
+//-----------------------------------------------------------------------------
+{
+ typedef struct PlyFace {
+ unsigned char nverts; /* number of Vertex indices in list */
+ int *verts; /* Vertex index list */
+ } PlyFace;
+
+
+ PlyProperty vert_props[] = { /* list of property information for a PlyVertex */
+ {"x", Float32, Float32, offsetof( Vertex,x ), 0, 0, 0, 0},
+ {"y", Float32, Float32, offsetof( Vertex,y ), 0, 0, 0, 0},
+ {"z", Float32, Float32, offsetof( Vertex,z ), 0, 0, 0, 0},
+ {"nx", Float32, Float32, offsetof( Vertex,nx ), 0, 0, 0, 0},
+ {"ny", Float32, Float32, offsetof( Vertex,ny ), 0, 0, 0, 0},
+ {"nz", Float32, Float32, offsetof( Vertex,nz ), 0, 0, 0, 0}
+ };
+
+ PlyProperty face_props[] = { /* list of property information for a PlyFace */
+ {"vertex_indices", Int32, Int32, offsetof( PlyFace,verts ),
+ 1, Uint8, Uint8, offsetof( PlyFace,nverts )},
+ };
+
+
+ FILE *fp = fopen( fn, "r" );
+ if( !fp ) return ;
+ PlyFile *ply = read_ply ( fp );
+ printf("Marching Cubes::readPLY(%s)...", fn ) ;
+
+ //-----------------------------------------------------------------------------
+
+ // gets the number of faces and vertices
+ for ( int i = 0; i < ply->num_elem_types; ++i )
+ {
+ int elem_count ;
+ char *elem_name = setup_element_read_ply ( ply, i, &elem_count );
+ if ( equal_strings ( "vertex", elem_name ) )
+ _Nverts = _nverts = elem_count;
+ if ( equal_strings ( "face", elem_name ) )
+ _Ntrigs = _ntrigs = elem_count;
+ }
+ delete [] _vertices ;
+ _vertices = new Vertex [_Nverts] ;
+ delete [] _triangles ;
+ _triangles = new Triangle[_Ntrigs] ;
+
+ //-----------------------------------------------------------------------------
+
+ /* examine each element type that is in the file (PlyVertex, PlyFace) */
+
+ for ( int i = 0; i < ply->num_elem_types; ++i )
+ {
+ /* prepare to read the i'th list of elements */
+ int elem_count ;
+ char *elem_name = setup_element_read_ply ( ply, i, &elem_count );
+
+ //-----------------------------------------------------------------------------
+ if ( equal_strings ( "vertex", elem_name ) )
+ {
+ /* set up for getting PlyVertex elements */
+ setup_property_ply ( ply, &vert_props[0] );
+ setup_property_ply ( ply, &vert_props[1] );
+ setup_property_ply ( ply, &vert_props[2] );
+ setup_property_ply ( ply, &vert_props[3] );
+ setup_property_ply ( ply, &vert_props[4] );
+ setup_property_ply ( ply, &vert_props[5] );
+
+ for ( int j = 0; j < _nverts; ++j )
+ {
+ get_element_ply ( ply, ( void * ) (_vertices + j) );
+ }
+ printf(" %d vertices read\n", _nverts ) ;
+ }
+
+ //-----------------------------------------------------------------------------
+ else if ( equal_strings ( "face", elem_name ) )
+ {
+ /* set up for getting PlyFace elements */
+ /* (all we need are PlyVertex indices) */
+
+ setup_property_ply ( ply, &face_props[0] ) ;
+ PlyFace face ;
+ for ( int j = 0; j < _ntrigs; ++j )
+ {
+ get_element_ply ( ply, ( void * ) &face );
+ if( face.nverts != 3 )
+ {
+ printf( "not a triangulated surface: polygon %d has %d sides\n", j, face.nverts ) ;
+ return ;
+ }
+
+ _triangles[j].v1 = face.verts[0] ;
+ _triangles[j].v2 = face.verts[1] ;
+ _triangles[j].v3 = face.verts[2] ;
+
+ free( face.verts ) ;
+ }
+ printf(" %d triangles read\n", _ntrigs ) ;
+ }
+ //-----------------------------------------------------------------------------
+
+ //-----------------------------------------------------------------------------
+ else /* all non-PlyVertex and non-PlyFace elements are grabbed here */
+ get_other_element_ply ( ply );
+ //-----------------------------------------------------------------------------
+ }
+
+ close_ply ( ply );
+ free_ply ( ply );
+
+// fit_to_bbox() ;
+ fclose( fp ) ;
+}
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+// Open Inventor / VRML 1.0 ascii exportation
+void MarchingCubes::writeIV(const char *fn )
+//-----------------------------------------------------------------------------
+{
+ FILE *fp = fopen( fn, "w" ) ;
+ int i ;
+
+ printf("Marching Cubes::exportIV(%s)...", fn) ;
+
+ fprintf( fp, "#Inventor V2.1 ascii \n\nSeparator { \n ShapeHints {\n vertexOrdering COUNTERCLOCKWISE\n shapeType UNKNOWN_SHAPE_TYPE\n creaseAngle 0.0\n }\n Coordinate3 { \n point [ \n" ) ;
+ for ( i = 0; i < _nverts; i++ )
+ fprintf( fp, " %f %f %f,\n", _vertices[i].x, _vertices[i].y, _vertices[i].z ) ;
+ printf(" %d vertices written\n", _nverts ) ;
+
+ fprintf( fp, "\n ] \n} \nNormal { \nvector [ \n" ) ;
+ for ( i = 0; i < _nverts; i++ )
+ fprintf( fp, " %f %f %f,\n", _vertices[i].nx, _vertices[i].ny, _vertices[i].nz ) ;
+
+ fprintf( fp, "\n ] \n} \nIndexedFaceSet { \ncoordIndex [ \n" ) ;
+ for ( i = 0; i < _ntrigs; i++ )
+ fprintf( fp, "%d, %d, %d, -1,\n", _triangles[i].v1, _triangles[i].v2, _triangles[i].v3 ) ;
+
+ fprintf( fp, " ] \n } \n } \n" ) ;
+ fclose( fp ) ;
+ printf(" %d triangles written\n", _ntrigs ) ;
+}
+//_____________________________________________________________________________
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.h b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.h
new file mode 100755
index 00000000000..c589bffb7f5
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/MarchingCubes.h
@@ -0,0 +1,343 @@
+/**
+ * @file MarchingCubes.h
+ * @author Thomas Lewiner <thomas.lewiner@polytechnique.org>
+ * @author Math Dept, PUC-Rio
+ * @version 0.2
+ * @date 12/08/2002
+ *
+ * @brief MarchingCubes Algorithm
+ */
+//________________________________________________
+
+
+#ifndef _MARCHINGCUBES_H_
+#define _MARCHINGCUBES_H_
+
+#if !defined(WIN32) || defined(__CYGWIN__)
+#pragma interface
+#endif // WIN32
+
+
+//_____________________________________________________________________________
+// types
+/** unsigned char alias */
+typedef unsigned char uchar ;
+/** signed char alias */
+typedef signed char schar ;
+/** isovalue alias */
+typedef float real ;
+
+//-----------------------------------------------------------------------------
+// Vertex structure
+/** \struct Vertex "MarchingCubes.h" MarchingCubes
+ * Position and normal of a vertex
+ * \brief vertex structure
+ * \param x X coordinate
+ * \param y Y coordinate
+ * \param z Z coordinate
+ * \param nx X component of the normal
+ * \param ny Y component of the normal
+ * \param nz Z component of the normal
+ */
+typedef struct
+{
+ real x, y, z ; /**< Vertex coordinates */
+ real nx, ny, nz ; /**< Vertex normal */
+} Vertex ;
+
+//-----------------------------------------------------------------------------
+// Triangle structure
+/** \struct Triangle "MarchingCubes.h" MarchingCubes
+ * Indices of the oriented triange vertices
+ * \brief triangle structure
+ * \param v1 First vertex index
+ * \param v2 Second vertex index
+ * \param v3 Third vertex index
+ */
+typedef struct
+{
+ int v1,v2,v3 ; /**< Triangle vertices */
+} Triangle ;
+//_____________________________________________________________________________
+
+
+
+//_____________________________________________________________________________
+/** Marching Cubes algorithm wrapper */
+/** \class MarchingCubes
+ * \brief Marching Cubes algorithm.
+ */
+class MarchingCubes
+//-----------------------------------------------------------------------------
+{
+// Constructors
+public :
+ /**
+ * Main and default constructor
+ * \brief constructor
+ * \param size_x width of the grid
+ * \param size_y depth of the grid
+ * \param size_z height of the grid
+ */
+ MarchingCubes ( const int size_x = -1, const int size_y = -1, const int size_z = -1 ) ;
+ /** Destructor */
+ ~MarchingCubes() ;
+
+//-----------------------------------------------------------------------------
+// Accessors
+public :
+ /** accesses the number of vertices of the generated mesh */
+ inline const int nverts() const { return _nverts ; }
+ /** accesses the number of triangles of the generated mesh */
+ inline const int ntrigs() const { return _ntrigs ; }
+ /** accesses a specific vertex of the generated mesh */
+ inline Vertex * vert( const int i ) const { if( i < 0 || i >= _nverts ) return ( Vertex *)NULL ; return _vertices + i ; }
+ /** accesses a specific triangle of the generated mesh */
+ inline Triangle * trig( const int i ) const { if( i < 0 || i >= _ntrigs ) return (Triangle*)NULL ; return _triangles + i ; }
+
+ /** accesses the vertex buffer of the generated mesh */
+ inline Vertex *vertices () { return _vertices ; }
+ /** accesses the triangle buffer of the generated mesh */
+ inline Triangle *triangles() { return _triangles ; }
+
+ /** accesses the width of the grid */
+ inline const int size_x() const { return _size_x ; }
+ /** accesses the depth of the grid */
+ inline const int size_y() const { return _size_y ; }
+ /** accesses the height of the grid */
+ inline const int size_z() const { return _size_z ; }
+
+ /**
+ * changes the size of the grid
+ * \param size_x width of the grid
+ * \param size_y depth of the grid
+ * \param size_z height of the grid
+ */
+ inline void set_resolution( const int size_x, const int size_y, const int size_z ) { _size_x = size_x ; _size_y = size_y ; _size_z = size_z ; }
+ /**
+ * selects wether the algorithm will use the enhanced topologically controlled lookup table or the original MarchingCubes
+ * \param originalMC true for the original Marching Cubes
+ */
+ inline void set_method ( const bool originalMC = false ) { _originalMC = originalMC ; }
+ /**
+ * selects to use data from another class
+ * \param data is the pointer to the external data, allocated as a size_x*size_y*size_z vector running in x first
+ */
+ inline void set_ext_data ( real *data )
+ { if( !_ext_data ) delete [] _data ; _ext_data = data != NULL ; if( _ext_data ) _data = data ; }
+ /**
+ * selects to allocate data
+ */
+ inline void set_int_data () { _ext_data = false ; _data = NULL ; }
+
+ // Data access
+ /**
+ * accesses a specific cube of the grid
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline const real get_data ( const int i, const int j, const int k ) const { return _data[ i + j*_size_x + k*_size_x*_size_y] ; }
+ /**
+ * sets a specific cube of the grid
+ * \param val new value for the cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline void set_data ( const real val, const int i, const int j, const int k ) { _data[ i + j*_size_x + k*_size_x*_size_y] = val ; }
+
+ // Data initialization
+ /** inits temporary structures (must set sizes before call) : the grid and the vertex index per cube */
+ void init_temps () ;
+ /** inits all structures (must set sizes before call) : the temporary structures and the mesh buffers */
+ void init_all () ;
+ /** clears temporary structures : the grid and the main */
+ void clean_temps() ;
+ /** clears all structures : the temporary structures and the mesh buffers */
+ void clean_all () ;
+
+
+//-----------------------------------------------------------------------------
+// Exportation
+public :
+ /**
+ * PLY exportation of the generated mesh
+ * \param fn name of the PLY file to create
+ * \param bin if true, the PLY will be written in binary mode
+ */
+ void writePLY( const char *fn, bool bin = false ) ;
+
+ /**
+ * PLY importation of a mesh
+ * \param fn name of the PLY file to read from
+ */
+ void readPLY( const char *fn ) ;
+
+ /**
+ * VRML / Open Inventor exportation of the generated mesh
+ * \param fn name of the IV file to create
+ */
+ void writeIV ( const char *fn ) ;
+
+ /**
+ * ISO exportation of the input grid
+ * \param fn name of the ISO file to create
+ */
+ void writeISO( const char *fn ) ;
+
+
+//-----------------------------------------------------------------------------
+// Algorithm
+public :
+ /**
+ * Main algorithm : must be called after init_all
+ * \param iso isovalue
+ */
+ void run( real iso = (real)0.0 ) ;
+
+protected :
+ /** tesselates one cube */
+ void process_cube () ;
+ /** tests if the components of the tesselation of the cube should be connected by the interior of an ambiguous face */
+ bool test_face ( schar face ) ;
+ /** tests if the components of the tesselation of the cube should be connected through the interior of the cube */
+ bool test_interior( schar s ) ;
+
+
+//-----------------------------------------------------------------------------
+// Operations
+protected :
+ /**
+ * computes almost all the vertices of the mesh by interpolation along the cubes edges
+ * \param iso isovalue
+ */
+ void compute_intersection_points( real iso ) ;
+
+ /**
+ * routine to add a triangle to the mesh
+ * \param trig the code for the triangle as a sequence of edges index
+ * \param n the number of triangles to produce
+ * \param v12 the index of the interior vertex to use, if necessary
+ */
+ void add_triangle ( const char* trig, char n, int v12 = -1 ) ;
+
+ /** tests and eventually doubles the vertex buffer capacity for a new vertex insertion */
+ void test_vertex_addition() ;
+ /** adds a vertex on the current horizontal edge */
+ int add_x_vertex() ;
+ /** adds a vertex on the current longitudinal edge */
+ int add_y_vertex() ;
+ /** adds a vertex on the current vertical edge */
+ int add_z_vertex() ;
+ /** adds a vertex inside the current cube */
+ int add_c_vertex() ;
+
+ /**
+ * interpolates the horizontal gradient of the implicit function at the lower vertex of the specified cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ real get_x_grad( const int i, const int j, const int k ) const ;
+ /**
+ * interpolates the longitudinal gradient of the implicit function at the lower vertex of the specified cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ real get_y_grad( const int i, const int j, const int k ) const ;
+ /**
+ * interpolates the vertical gradient of the implicit function at the lower vertex of the specified cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ real get_z_grad( const int i, const int j, const int k ) const ;
+
+ /**
+ * accesses the pre-computed vertex index on the lower horizontal edge of a specific cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline int get_x_vert( const int i, const int j, const int k ) const { return _x_verts[ i + j*_size_x + k*_size_x*_size_y] ; }
+ /**
+ * accesses the pre-computed vertex index on the lower longitudinal edge of a specific cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline int get_y_vert( const int i, const int j, const int k ) const { return _y_verts[ i + j*_size_x + k*_size_x*_size_y] ; }
+ /**
+ * accesses the pre-computed vertex index on the lower vertical edge of a specific cube
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline int get_z_vert( const int i, const int j, const int k ) const { return _z_verts[ i + j*_size_x + k*_size_x*_size_y] ; }
+
+ /**
+ * sets the pre-computed vertex index on the lower horizontal edge of a specific cube
+ * \param val the index of the new vertex
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline void set_x_vert( const int val, const int i, const int j, const int k ) { _x_verts[ i + j*_size_x + k*_size_x*_size_y] = val ; }
+ /**
+ * sets the pre-computed vertex index on the lower longitudinal edge of a specific cube
+ * \param val the index of the new vertex
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline void set_y_vert( const int val, const int i, const int j, const int k ) { _y_verts[ i + j*_size_x + k*_size_x*_size_y] = val ; }
+ /**
+ * sets the pre-computed vertex index on the lower vertical edge of a specific cube
+ * \param val the index of the new vertex
+ * \param i abscisse of the cube
+ * \param j ordinate of the cube
+ * \param k height of the cube
+ */
+ inline void set_z_vert( const int val, const int i, const int j, const int k ) { _z_verts[ i + j*_size_x + k*_size_x*_size_y] = val ; }
+
+ /** prints cube for debug */
+ void print_cube() ;
+
+//-----------------------------------------------------------------------------
+// Elements
+protected :
+ bool _originalMC ; /**< selects wether the algorithm will use the enhanced topologically controlled lookup table or the original MarchingCubes */
+ bool _ext_data ; /**< selects wether to allocate data or use data from another class */
+
+ int _size_x ; /**< width of the grid */
+ int _size_y ; /**< depth of the grid */
+ int _size_z ; /**< height of the grid */
+ real *_data ; /**< implicit function values sampled on the grid */
+
+ int *_x_verts ; /**< pre-computed vertex indices on the lower horizontal edge of each cube */
+ int *_y_verts ; /**< pre-computed vertex indices on the lower longitudinal edge of each cube */
+ int *_z_verts ; /**< pre-computed vertex indices on the lower vertical edge of each cube */
+
+ int _nverts ; /**< number of allocated vertices in the vertex buffer */
+ int _ntrigs ; /**< number of allocated triangles in the triangle buffer */
+ int _Nverts ; /**< size of the vertex buffer */
+ int _Ntrigs ; /**< size of the triangle buffer */
+ Vertex *_vertices ; /**< vertex buffer */
+ Triangle *_triangles ; /**< triangle buffer */
+
+ int _i ; /**< abscisse of the active cube */
+ int _j ; /**< height of the active cube */
+ int _k ; /**< ordinate of the active cube */
+
+ real _cube[8] ; /**< values of the implicit function on the active cube */
+ uchar _lut_entry ; /**< cube sign representation in [0..255] */
+ uchar _case ; /**< case of the active cube in [0..15] */
+ uchar _config ; /**< configuration of the active cube */
+ uchar _subconfig ; /**< subconfiguration of the active cube */
+};
+//_____________________________________________________________________________
+
+
+#endif // _MARCHINGCUBES_H_
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.c b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.c
new file mode 100755
index 00000000000..06c60f4dbb8
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.c
@@ -0,0 +1,3325 @@
+/*
+
+The interface routines for reading and writing PLY polygon files.
+
+Greg Turk
+
+---------------------------------------------------------------
+
+A PLY file contains a single polygonal _object_.
+
+An object is composed of lists of _elements_. Typical elements are
+vertices, faces, edges and materials.
+
+Each type of element for a given object has one or more _properties_
+associated with the element type. For instance, a vertex element may
+have as properties the floating-point values x,y,z and the three unsigned
+chars representing red, green and blue.
+
+-----------------------------------------------------------------------
+
+Copyright (c) 1998 Georgia Institute of Technology. All rights reserved.
+
+Permission to use, copy, modify and distribute this software and its
+documentation for any purpose is hereby granted without fee, provided
+that the above copyright notice and this permission notice appear in
+all copies of this software and that you do not sell the software.
+
+THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND,
+EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
+WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+
+*/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <string.h>
+#include "ply.h"
+
+char *type_names[] = { /* names of scalar types */
+"invalid",
+"int8", "int16", "int32", "uint8", "uint16", "uint32", "float32", "float64",
+};
+
+char *old_type_names[] = { /* old names of types for backward compatability */
+"invalid",
+"char", "short", "int", "uchar", "ushort", "uint", "float", "double",
+};
+
+int ply_type_size[] = {
+0, 1, 2, 4, 1, 2, 4, 4, 8
+};
+
+#define NO_OTHER_PROPS -1
+
+#define DONT_STORE_PROP 0
+#define STORE_PROP 1
+
+#define OTHER_PROP 0
+#define NAMED_PROP 1
+
+/* returns 1 if strings are equal, 0 if not */
+int equal_strings( char * , char * );
+
+/* find an element in a plyfile's list */
+PlyElement *find_element( PlyFile * , char * );
+
+/* find a property in an element's list */
+PlyProperty *find_property( PlyElement * , char * , int * );
+
+/* write to a file the word describing a PLY file data type */
+void write_scalar_type( FILE * , int );
+
+/* read a line from a file and break it up into separate words */
+char* *get_words( FILE * , int * , char ** );
+
+/* write an item to a file */
+void write_binary_item( FILE * , int, unsigned int, double, int );
+void write_ascii_item( FILE * , int, unsigned int, double, int );
+
+/* add information to a PLY file descriptor */
+void add_element( PlyFile * , char ** , int );
+void add_property( PlyFile * , char ** , int );
+void add_comment( PlyFile * , char * );
+void add_obj_info( PlyFile * , char * );
+
+/* copy a property */
+void copy_property( PlyProperty * , PlyProperty * );
+
+/* store a value into where a pointer and a type specify */
+void store_item( char * , int, int, unsigned int, double );
+
+/* return the value of a stored item */
+void get_stored_item( void * , int, int * , unsigned int * , double * );
+
+/* return the value stored in an item, given ptr to it and its type */
+double get_item_value( char * , int );
+
+/* get binary or ascii item and store it according to ptr and type */
+void get_ascii_item( char * , int, int * , unsigned int * , double * );
+void get_binary_item( FILE * , int, int * , unsigned int * , double * );
+
+/* get a bunch of elements from a file */
+void ascii_get_element( PlyFile * , char * );
+void binary_get_element( PlyFile * , char * );
+
+/* memory allocation */
+static char *my_alloc( int, int, char * );
+
+
+/*************/
+/* Writing */
+/*************/
+
+
+/******************************************************************************
+Given a file pointer, get ready to write PLY data to the file.
+
+Entry:
+fp - the given file pointer
+nelems - number of elements in object
+elem_names - list of element names
+file_type - file type, either ascii or binary
+
+Exit:
+returns a pointer to a PlyFile, used to refer to this file, or NULL if error
+******************************************************************************/
+
+PlyFile *ply_write( FILE *fp, int nelems, char **elem_names, int file_type )
+{
+ int i;
+ PlyFile *plyfile;
+ PlyElement *elem;
+
+ /* check for NULL file pointer */
+ if ( fp == NULL )
+ return ( NULL );
+
+ /* create a record for this object */
+
+ plyfile = ( PlyFile * ) myalloc ( sizeof ( PlyFile ) );
+ plyfile->file_type = file_type;
+ plyfile->num_comments = 0;
+ plyfile->num_obj_info = 0;
+ plyfile->num_elem_types = nelems;
+ plyfile->version = 1.0;
+ plyfile->fp = fp;
+ plyfile->other_elems = NULL;
+
+ /* tuck aside the names of the elements */
+
+ plyfile->elems = ( PlyElement * * ) myalloc ( sizeof ( PlyElement * ) * nelems );
+ for ( i = 0; i < nelems; i++ )
+ {
+ elem = ( PlyElement * ) myalloc ( sizeof ( PlyElement ) );
+ plyfile->elems[i] = elem;
+ elem->name = strdup ( elem_names[i] );
+ elem->num = 0;
+ elem->nprops = 0;
+ }
+
+ /* return pointer to the file descriptor */
+ return ( plyfile );
+}
+
+
+/******************************************************************************
+Open a polygon file for writing.
+
+Entry:
+filename - name of file to read from
+nelems - number of elements in object
+elem_names - list of element names
+file_type - file type, either ascii or binary
+
+Exit:
+returns a file identifier, used to refer to this file, or NULL if error
+******************************************************************************/
+
+PlyFile *open_for_writing_ply( char *filename, int nelems, char **elem_names, int file_type )
+{
+ PlyFile *plyfile;
+ char *name;
+ FILE *fp;
+
+ /* tack on the extension .ply, if necessary */
+
+ name = ( char * ) myalloc ( sizeof ( char ) * ( strlen ( filename ) + 5 ) );
+ strcpy ( name, filename );
+ if ( strlen ( name ) < 4 || strcmp ( name + strlen ( name ) - 4, ".ply" ) != 0 )
+ strcat ( name, ".ply" );
+
+ /* open the file for writing */
+
+ fp = fopen ( name, "w" );
+ if ( fp == NULL )
+ {
+ return ( NULL );
+ }
+
+ /* create the actual PlyFile structure */
+
+ plyfile = ply_write ( fp, nelems, elem_names, file_type );
+ if ( plyfile == NULL )
+ return ( NULL );
+
+ /* return pointer to the file descriptor */
+ return ( plyfile );
+}
+
+
+/******************************************************************************
+Describe an element, including its properties and how many will be written
+to the file.
+
+Entry:
+plyfile - file identifier
+elem_name - name of element that information is being specified about
+nelems - number of elements of this type to be written
+nprops - number of properties contained in the element
+prop_list - list of properties
+******************************************************************************/
+
+void element_layout_ply( PlyFile *plyfile, char *elem_name, int nelems, int nprops, PlyProperty *prop_list )
+{
+ int i;
+ PlyElement *elem;
+ PlyProperty *prop;
+
+ /* look for appropriate element */
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf( stderr,"element_layout_ply: can't find element '%s'\n",elem_name );
+ exit ( -1 );
+ }
+
+ elem->num = nelems;
+
+ /* copy the list of properties */
+
+ elem->nprops = nprops;
+ elem->props = ( PlyProperty * * ) myalloc ( sizeof ( PlyProperty * ) * nprops );
+ elem->store_prop = ( char * ) myalloc ( sizeof ( char ) * nprops );
+
+ for ( i = 0; i < nprops; i++ )
+ {
+ prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+ elem->props[i] = prop;
+ elem->store_prop[i] = NAMED_PROP;
+ copy_property ( prop, &prop_list[i] );
+ }
+}
+
+
+/******************************************************************************
+Describe a property of an element.
+
+Entry:
+plyfile - file identifier
+elem_name - name of element that information is being specified about
+prop - the new property
+******************************************************************************/
+
+void ply_describe_property( PlyFile *plyfile, char *elem_name, PlyProperty *prop )
+{
+ PlyElement *elem;
+ PlyProperty *elem_prop;
+
+ /* look for appropriate element */
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf( stderr, "ply_describe_property: can't find element '%s'\n",
+ elem_name );
+ return;
+ }
+
+ /* create room for new property */
+
+ if ( elem->nprops == 0 )
+ {
+ elem->props = ( PlyProperty * * ) myalloc ( sizeof ( PlyProperty * ) );
+ elem->store_prop = ( char * ) myalloc ( sizeof ( char ) );
+ elem->nprops = 1;
+ }
+ else
+ {
+ elem->nprops++;
+ elem->props = ( PlyProperty * * )
+ realloc ( elem->props, sizeof ( PlyProperty * ) * elem->nprops );
+ elem->store_prop = ( char * )
+ realloc ( elem->store_prop, sizeof ( char ) * elem->nprops );
+ }
+
+ /* copy the new property */
+
+ elem_prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+ elem->props[elem->nprops - 1] = elem_prop;
+ elem->store_prop[elem->nprops - 1] = NAMED_PROP;
+ copy_property ( elem_prop, prop );
+}
+
+
+/******************************************************************************
+State how many of a given element will be written.
+
+Entry:
+plyfile - file identifier
+elem_name - name of element that information is being specified about
+nelems - number of elements of this type to be written
+******************************************************************************/
+
+void element_count_ply( PlyFile *plyfile, char *elem_name, int nelems )
+{
+ PlyElement *elem;
+
+ /* look for appropriate element */
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf( stderr,"element_count_ply: can't find element '%s'\n",elem_name );
+ exit ( -1 );
+ }
+
+ elem->num = nelems;
+}
+
+
+/******************************************************************************
+Signal that we've described everything a PLY file's header and that the
+header should be written to the file.
+
+Entry:
+plyfile - file identifier
+******************************************************************************/
+
+void header_complete_ply( PlyFile *plyfile )
+{
+ int i,j;
+ FILE *fp = plyfile->fp;
+ PlyElement *elem;
+ PlyProperty *prop;
+
+ fprintf ( fp, "ply\n" );
+
+ switch ( plyfile->file_type )
+ {
+ case PLY_ASCII:
+ fprintf ( fp, "format ascii 1.0\n" );
+ break;
+ case PLY_BINARY_BE:
+ fprintf ( fp, "format binary_big_endian 1.0\n" );
+ break;
+ case PLY_BINARY_LE:
+ fprintf ( fp, "format binary_little_endian 1.0\n" );
+ break;
+ default:
+ fprintf ( stderr, "ply_header_complete: bad file type = %d\n",
+ plyfile->file_type );
+ exit ( -1 );
+ }
+
+ /* write out the comments */
+
+ for ( i = 0; i < plyfile->num_comments; i++ )
+ fprintf ( fp, "comment %s\n", plyfile->comments[i] );
+
+ /* write out object information */
+
+ for ( i = 0; i < plyfile->num_obj_info; i++ )
+ fprintf ( fp, "obj_info %s\n", plyfile->obj_info[i] );
+
+ /* write out information about each element */
+
+ for ( i = 0; i < plyfile->num_elem_types; i++ )
+ {
+ elem = plyfile->elems[i];
+ fprintf ( fp, "element %s %d\n", elem->name, elem->num );
+
+ /* write out each property */
+ for ( j = 0; j < elem->nprops; j++ )
+ {
+ prop = elem->props[j];
+ if ( prop->is_list == PLY_LIST )
+ {
+ fprintf ( fp, "property list " );
+ write_scalar_type ( fp, prop->count_external );
+ fprintf ( fp, " " );
+ write_scalar_type ( fp, prop->external_type );
+ fprintf ( fp, " %s\n", prop->name );
+ }
+ else if ( prop->is_list == PLY_STRING )
+ {
+ fprintf ( fp, "property string" );
+ fprintf ( fp, " %s\n", prop->name );
+ }
+ else
+ {
+ fprintf ( fp, "property " );
+ write_scalar_type ( fp, prop->external_type );
+ fprintf ( fp, " %s\n", prop->name );
+ }
+ }
+ }
+
+ fprintf ( fp, "end_header\n" );
+}
+
+
+/******************************************************************************
+Specify which elements are going to be written. This should be called
+before a call to the routine ply_put_element().
+
+Entry:
+plyfile - file identifier
+elem_name - name of element we're talking about
+******************************************************************************/
+
+void put_element_setup_ply( PlyFile *plyfile, char *elem_name )
+{
+ PlyElement *elem;
+
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf( stderr, "put_element_setup_ply: can't find element '%s'\n", elem_name );
+ exit ( -1 );
+ }
+
+ plyfile->which_elem = elem;
+}
+
+
+/******************************************************************************
+Write an element to the file. This routine assumes that we're
+writing the type of element specified in the last call to the routine
+put_element_setup_ply().
+
+Entry:
+plyfile - file identifier
+elem_ptr - pointer to the element
+******************************************************************************/
+
+void put_element_ply( PlyFile *plyfile, void *elem_ptr )
+{
+ int j,k;
+ FILE *fp = plyfile->fp;
+ PlyElement *elem;
+ PlyProperty *prop;
+ char *item;
+ char *elem_data;
+ char* *item_ptr;
+ int list_count;
+ int item_size;
+ int int_val;
+ unsigned int uint_val;
+ double double_val;
+ char* *other_ptr;
+
+ elem = plyfile->which_elem;
+ elem_data = ( char * ) elem_ptr;
+ other_ptr = ( char * * ) ( ( ( char * ) elem_ptr ) + elem->other_offset );
+
+ /* write out either to an ascii or binary file */
+
+ if ( plyfile->file_type == PLY_ASCII )
+ {
+ /* write an ascii file */
+
+ /* write out each property of the element */
+ for ( j = 0; j < elem->nprops; j++ )
+ {
+ prop = elem->props[j];
+
+ if ( elem->store_prop[j] == OTHER_PROP )
+ elem_data = *other_ptr;
+ else
+ elem_data = ( char * ) elem_ptr;
+
+ if ( prop->is_list == PLY_LIST )
+ {
+ /* list */
+ item = elem_data + prop->count_offset;
+ get_stored_item ( ( void * ) item, prop->count_internal,
+ &int_val, &uint_val, &double_val );
+ write_ascii_item ( fp, int_val, uint_val, double_val,
+ prop->count_external );
+ list_count = uint_val;
+ item_ptr = ( char * * ) ( elem_data + prop->offset );
+ item = item_ptr[0];
+ item_size = ply_type_size[prop->internal_type];
+ for ( k = 0; k < list_count; k++ )
+ {
+ get_stored_item ( ( void * ) item, prop->internal_type,
+ &int_val, &uint_val, &double_val );
+ write_ascii_item ( fp, int_val, uint_val, double_val,
+ prop->external_type );
+ item += item_size;
+ }
+ }
+ else if ( prop->is_list == PLY_STRING )
+ {
+ /* string */
+ char* *str;
+ item = elem_data + prop->offset;
+ str = ( char * * ) item;
+ fprintf ( fp, "\"%s\"", *str );
+ }
+ else
+ {
+ /* scalar */
+ item = elem_data + prop->offset;
+ get_stored_item ( ( void * ) item, prop->internal_type,
+ &int_val, &uint_val, &double_val );
+ write_ascii_item ( fp, int_val, uint_val, double_val,
+ prop->external_type );
+ }
+ }
+
+ fprintf ( fp, "\n" );
+ }
+ else
+ {
+ /* write a binary file */
+
+ /* write out each property of the element */
+ for ( j = 0; j < elem->nprops; j++ )
+ {
+ prop = elem->props[j];
+ if ( elem->store_prop[j] == OTHER_PROP )
+ elem_data = *other_ptr;
+ else
+ elem_data = ( char * ) elem_ptr;
+ if ( prop->is_list == PLY_LIST )
+ {
+ /* list */
+ item = elem_data + prop->count_offset;
+ item_size = ply_type_size[prop->count_internal];
+ get_stored_item ( ( void * ) item, prop->count_internal,
+ &int_val, &uint_val, &double_val );
+ write_binary_item ( fp, int_val, uint_val, double_val,
+ prop->count_external );
+ list_count = uint_val;
+ item_ptr = ( char * * ) ( elem_data + prop->offset );
+ item = item_ptr[0];
+ item_size = ply_type_size[prop->internal_type];
+ for ( k = 0; k < list_count; k++ )
+ {
+ get_stored_item ( ( void * ) item, prop->internal_type,
+ &int_val, &uint_val, &double_val );
+ write_binary_item ( fp, int_val, uint_val, double_val,
+ prop->external_type );
+ item += item_size;
+ }
+ }
+ else if ( prop->is_list == PLY_STRING )
+ {
+ /* string */
+ int len;
+ char* *str;
+ item = elem_data + prop->offset;
+ str = ( char * * ) item;
+
+ /* write the length */
+ len = strlen( *str ) + 1;
+ fwrite ( &len, sizeof( int ), 1, fp );
+
+ /* write the string, including the null character */
+ fwrite ( *str, len, 1, fp );
+ }
+ else
+ {
+ /* scalar */
+ item = elem_data + prop->offset;
+ item_size = ply_type_size[prop->internal_type];
+ get_stored_item ( ( void * ) item, prop->internal_type,
+ &int_val, &uint_val, &double_val );
+ write_binary_item ( fp, int_val, uint_val, double_val,
+ prop->external_type );
+ }
+ }
+ }
+}
+
+
+
+
+
+
+/*************/
+/* Reading */
+/*************/
+
+
+
+/******************************************************************************
+Given a file pointer, get ready to read PLY data from the file.
+
+Entry:
+fp - the given file pointer
+
+Exit:
+nelems - number of elements in object
+elem_names - list of element names
+returns a pointer to a PlyFile, used to refer to this file, or NULL if error
+******************************************************************************/
+
+PlyFile *ply_read( FILE *fp, int *nelems, char ***elem_names )
+{
+ int i,j;
+ PlyFile *plyfile;
+ int nwords;
+ char* *words;
+ int found_format = 0;
+ char* *elist;
+ PlyElement *elem;
+ char *orig_line;
+
+ /* check for NULL file pointer */
+ if ( fp == NULL )
+ return ( NULL );
+
+ /* create record for this object */
+
+ plyfile = ( PlyFile * ) myalloc ( sizeof ( PlyFile ) );
+ plyfile->num_elem_types = 0;
+ plyfile->comments = NULL;
+ plyfile->num_comments = 0;
+ plyfile->obj_info = NULL;
+ plyfile->num_obj_info = 0;
+ plyfile->fp = fp;
+ plyfile->other_elems = NULL;
+ plyfile->rule_list = NULL;
+
+ /* read and parse the file's header */
+
+ words = get_words ( plyfile->fp, &nwords, &orig_line );
+ if ( !words || !equal_strings ( words[0], "ply" ) )
+ return ( NULL );
+
+ while ( words )
+ {
+ /* parse words */
+
+ if ( equal_strings ( words[0], "format" ) )
+ {
+ if ( nwords != 3 )
+ return ( NULL );
+ if ( equal_strings ( words[1], "ascii" ) )
+ plyfile->file_type = PLY_ASCII;
+ else if ( equal_strings ( words[1], "binary_big_endian" ) )
+ plyfile->file_type = PLY_BINARY_BE;
+ else if ( equal_strings ( words[1], "binary_little_endian" ) )
+ plyfile->file_type = PLY_BINARY_LE;
+ else
+ return ( NULL );
+ plyfile->version = ( float ) atof ( words[2] );
+ found_format = 1;
+ }
+ else if ( equal_strings ( words[0], "element" ) )
+ add_element ( plyfile, words, nwords );
+ else if ( equal_strings ( words[0], "property" ) )
+ add_property ( plyfile, words, nwords );
+ else if ( equal_strings ( words[0], "comment" ) )
+ add_comment ( plyfile, orig_line );
+ else if ( equal_strings ( words[0], "obj_info" ) )
+ add_obj_info ( plyfile, orig_line );
+ else if ( equal_strings ( words[0], "end_header" ) )
+ break;
+
+ /* free up words space */
+ free ( words );
+
+ words = get_words ( plyfile->fp, &nwords, &orig_line );
+ }
+
+ /* create tags for each property of each element, to be used */
+ /* later to say whether or not to store each property for the user */
+
+ for ( i = 0; i < plyfile->num_elem_types; i++ )
+ {
+ elem = plyfile->elems[i];
+ elem->store_prop = ( char * ) myalloc ( sizeof ( char ) * elem->nprops );
+ for ( j = 0; j < elem->nprops; j++ )
+ elem->store_prop[j] = DONT_STORE_PROP;
+ elem->other_offset = NO_OTHER_PROPS; /* no "other" props by default */
+ }
+
+ /* set return values about the elements */
+
+ elist = ( char * * ) myalloc ( sizeof ( char * ) * plyfile->num_elem_types );
+ for ( i = 0; i < plyfile->num_elem_types; i++ )
+ elist[i] = strdup ( plyfile->elems[i]->name );
+
+ *elem_names = elist;
+ *nelems = plyfile->num_elem_types;
+
+ /* return a pointer to the file's information */
+
+ return ( plyfile );
+}
+
+
+/******************************************************************************
+Open a polygon file for reading.
+
+Entry:
+filename - name of file to read from
+
+Exit:
+nelems - number of elements in object
+elem_names - list of element names
+file_type - file type, either ascii or binary
+version - version number of PLY file
+returns a file identifier, used to refer to this file, or NULL if error
+******************************************************************************/
+
+PlyFile *ply_open_for_reading( char *filename, int *nelems, char ***elem_names, int *file_type, float *version )
+{
+ FILE *fp;
+ PlyFile *plyfile;
+ char *name;
+
+ /* tack on the extension .ply, if necessary */
+
+ name = ( char * ) myalloc ( sizeof ( char ) * ( strlen ( filename ) + 5 ) );
+ strcpy ( name, filename );
+ if ( strlen ( name ) < 4 || strcmp ( name + strlen ( name ) - 4, ".ply" ) != 0 )
+ strcat ( name, ".ply" );
+
+ /* open the file for reading */
+
+ fp = fopen ( name, "r" );
+ if ( fp == NULL )
+ return ( NULL );
+
+ /* create the PlyFile data structure */
+
+ plyfile = ply_read ( fp, nelems, elem_names );
+
+ /* determine the file type and version */
+
+ *file_type = plyfile->file_type;
+ *version = plyfile->version;
+
+ /* return a pointer to the file's information */
+
+ return ( plyfile );
+}
+
+
+/******************************************************************************
+Get information about a particular element.
+
+Entry:
+plyfile - file identifier
+elem_name - name of element to get information about
+
+Exit:
+nelems - number of elements of this type in the file
+nprops - number of properties
+returns a list of properties, or NULL if the file doesn't contain that elem
+******************************************************************************/
+
+PlyProperty **get_element_description_ply( PlyFile *plyfile, char *elem_name, int *nelems, int *nprops )
+{
+ int i;
+ PlyElement *elem;
+ PlyProperty *prop;
+ PlyProperty* *prop_list;
+
+ /* find information about the element */
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ return ( NULL );
+
+ *nelems = elem->num;
+ *nprops = elem->nprops;
+
+ /* make a copy of the element's property list */
+ prop_list = ( PlyProperty * * ) myalloc ( sizeof ( PlyProperty * ) * elem->nprops );
+ for ( i = 0; i < elem->nprops; i++ )
+ {
+ prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+ copy_property ( prop, elem->props[i] );
+ prop_list[i] = prop;
+ }
+
+ /* return this duplicate property list */
+ return ( prop_list );
+}
+
+
+/******************************************************************************
+Specify which properties of an element are to be returned. This should be
+called before a call to the routine get_element_ply().
+
+Entry:
+plyfile - file identifier
+elem_name - which element we're talking about
+nprops - number of properties
+prop_list - list of properties
+******************************************************************************/
+
+void get_element_setup_ply( PlyFile *plyfile, char *elem_name, int nprops, PlyProperty *prop_list )
+{
+ int i;
+ PlyElement *elem;
+ PlyProperty *prop;
+ int index;
+
+ /* find information about the element */
+ elem = find_element ( plyfile, elem_name );
+ plyfile->which_elem = elem;
+
+ /* deposit the property information into the element's description */
+ for ( i = 0; i < nprops; i++ )
+ {
+ /* look for actual property */
+ prop = find_property ( elem, prop_list[i].name, &index );
+ if ( prop == NULL )
+ {
+ fprintf ( stderr, "Warning: Can't find property '%s' in element '%s'\n",
+ prop_list[i].name, elem_name );
+ continue;
+ }
+
+ /* store its description */
+ prop->internal_type = prop_list[i].internal_type;
+ prop->offset = prop_list[i].offset;
+ prop->count_internal = prop_list[i].count_internal;
+ prop->count_offset = prop_list[i].count_offset;
+
+ /* specify that the user wants this property */
+ elem->store_prop[index] = STORE_PROP;
+ }
+}
+
+
+/******************************************************************************
+Specify a property of an element that is to be returned. This should be
+called (usually multiple times) before a call to the routine ply_get_element().
+This routine should be used in preference to the less flexible old routine
+called ply_get_element_setup().
+
+Entry:
+plyfile - file identifier
+elem_name - which element we're talking about
+prop - property to add to those that will be returned
+******************************************************************************/
+
+void ply_get_property( PlyFile *plyfile, char *elem_name, PlyProperty *prop )
+{
+ PlyElement *elem;
+ PlyProperty *prop_ptr;
+ int index;
+
+ /* find information about the element */
+ elem = find_element ( plyfile, elem_name );
+ plyfile->which_elem = elem;
+
+ /* deposit the property information into the element's description */
+
+ prop_ptr = find_property ( elem, prop->name, &index );
+ if ( prop_ptr == NULL )
+ {
+ fprintf ( stderr, "Warning: Can't find property '%s' in element '%s'\n",
+ prop->name, elem_name );
+ return;
+ }
+ prop_ptr->internal_type = prop->internal_type;
+ prop_ptr->offset = prop->offset;
+ prop_ptr->count_internal = prop->count_internal;
+ prop_ptr->count_offset = prop->count_offset;
+
+ /* specify that the user wants this property */
+ elem->store_prop[index] = STORE_PROP;
+}
+
+
+/******************************************************************************
+Read one element from the file. This routine assumes that we're reading
+the type of element specified in the last call to the routine
+ply_get_element_setup().
+
+Entry:
+plyfile - file identifier
+elem_ptr - pointer to location where the element information should be put
+******************************************************************************/
+
+void ply_get_element( PlyFile *plyfile, void *elem_ptr )
+{
+ if ( plyfile->file_type == PLY_ASCII )
+ ascii_get_element ( plyfile, ( char * ) elem_ptr );
+ else
+ binary_get_element ( plyfile, ( char * ) elem_ptr );
+}
+
+
+/******************************************************************************
+Extract the comments from the header information of a PLY file.
+
+Entry:
+plyfile - file identifier
+
+Exit:
+num_comments - number of comments returned
+returns a pointer to a list of comments
+******************************************************************************/
+
+char **get_comments_ply( PlyFile *plyfile, int *num_comments )
+{
+ *num_comments = plyfile->num_comments;
+ return ( plyfile->comments );
+}
+
+
+/******************************************************************************
+Extract the object information (arbitrary text) from the header information
+of a PLY file.
+
+Entry:
+plyfile - file identifier
+
+Exit:
+num_obj_info - number of lines of text information returned
+returns a pointer to a list of object info lines
+******************************************************************************/
+
+char **get_obj_info_ply( PlyFile *plyfile, int *num_obj_info )
+{
+ *num_obj_info = plyfile->num_obj_info;
+ return ( plyfile->obj_info );
+}
+
+
+/******************************************************************************
+ake ready for "other" properties of an element-- those properties that
+the user has not explicitly asked for, but that are to be stashed away
+in a special structure to be carried along with the element's other
+information.
+
+Entry:
+plyfile - file identifier
+elem - element for which we want to save away other properties
+******************************************************************************/
+
+void setup_other_props( PlyFile *plyfile, PlyElement *elem )
+{
+ int i;
+ PlyProperty *prop;
+ int size = 0;
+ int type_size;
+
+ /* Examine each property in decreasing order of size. */
+ /* We do this so that all data types will be aligned by */
+ /* word, half-word, or whatever within the structure. */
+
+ for ( type_size = 8; type_size > 0; type_size /= 2 )
+ {
+ /* add up the space taken by each property, and save this information */
+ /* away in the property descriptor */
+
+ for ( i = 0; i < elem->nprops; i++ )
+ {
+ /* don't bother with properties we've been asked to store explicitly */
+ if ( elem->store_prop[i] )
+ continue;
+
+ prop = elem->props[i];
+
+ /* internal types will be same as external */
+ prop->internal_type = prop->external_type;
+ prop->count_internal = prop->count_external;
+
+ /* list case */
+ if ( prop->is_list == PLY_LIST )
+ {
+ /* pointer to list */
+ if ( type_size == sizeof ( void * ) )
+ {
+ prop->offset = size;
+ size += sizeof ( void * ); /* always use size of a pointer here */
+ }
+
+ /* count of number of list elements */
+ if ( type_size == ply_type_size[prop->count_external] )
+ {
+ prop->count_offset = size;
+ size += ply_type_size[prop->count_external];
+ }
+ }
+ /* string */
+ else if ( prop->is_list == PLY_STRING )
+ {
+ /* pointer to string */
+ if ( type_size == sizeof ( char * ) )
+ {
+ prop->offset = size;
+ size += sizeof ( char * );
+ }
+ }
+ /* scalar */
+ else if ( type_size == ply_type_size[prop->external_type] )
+ {
+ prop->offset = size;
+ size += ply_type_size[prop->external_type];
+ }
+ }
+ }
+
+ /* save the size for the other_props structure */
+ elem->other_size = size;
+}
+
+
+/******************************************************************************
+Specify that we want the "other" properties of an element to be tucked
+away within the user's structure.
+
+Entry:
+plyfile - file identifier
+elem - the element that we want to store other_props in
+offset - offset to where other_props will be stored inside user's structure
+
+Exit:
+returns pointer to structure containing description of other_props
+******************************************************************************/
+
+static PlyOtherProp *get_other_properties( PlyFile *plyfile, PlyElement *elem, int offset )
+{
+ int i;
+ PlyOtherProp *other;
+ PlyProperty *prop;
+ int nprops;
+
+ /* remember that this is the "current" element */
+ plyfile->which_elem = elem;
+
+ /* save the offset to where to store the other_props */
+ elem->other_offset = offset;
+
+ /* place the appropriate pointers, etc. in the element's property list */
+ setup_other_props ( plyfile, elem );
+
+ /* create structure for describing other_props */
+ other = ( PlyOtherProp * ) myalloc ( sizeof ( PlyOtherProp ) );
+ other->name = strdup ( elem->name );
+#if 0
+if (elem->other_offset == NO_OTHER_PROPS) {
+other->size = 0;
+other->props = NULL;
+other->nprops = 0;
+return (other);
+}
+#endif
+ other->size = elem->other_size;
+ other->props = ( PlyProperty * * ) myalloc ( sizeof( PlyProperty ) * elem->nprops );
+
+ /* save descriptions of each "other" property */
+ nprops = 0;
+ for ( i = 0; i < elem->nprops; i++ )
+ {
+ if ( elem->store_prop[i] )
+ continue;
+ prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+ copy_property ( prop, elem->props[i] );
+ other->props[nprops] = prop;
+ nprops++;
+ }
+ other->nprops = nprops;
+
+ /* set other_offset pointer appropriately if there are NO other properties */
+ if ( other->nprops == 0 )
+ {
+ elem->other_offset = NO_OTHER_PROPS;
+ }
+
+ /* return structure */
+ return ( other );
+}
+
+
+/******************************************************************************
+Specify that we want the "other" properties of an element to be tucked
+away within the user's structure. The user needn't be concerned for how
+these properties are stored.
+
+Entry:
+plyfile - file identifier
+elem_name - name of element that we want to store other_props in
+offset - offset to where other_props will be stored inside user's structure
+
+Exit:
+returns pointer to structure containing description of other_props
+******************************************************************************/
+
+PlyOtherProp *ply_get_other_properties( PlyFile *plyfile, char *elem_name, int offset )
+{
+ PlyElement *elem;
+ PlyOtherProp *other;
+
+ /* find information about the element */
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf ( stderr, "ply_get_other_properties: Can't find element '%s'\n",
+ elem_name );
+ return ( NULL );
+ }
+
+ other = get_other_properties ( plyfile, elem, offset );
+ return ( other );
+}
+
+
+
+
+/*************************/
+/* Other Element Stuff */
+/*************************/
+
+
+
+
+
+/******************************************************************************
+Grab all the data for the current element that a user does not want to
+explicitly read in. Stores this in the PLY object's data structure.
+
+Entry:
+plyfile - pointer to file
+
+Exit:
+returns pointer to ALL the "other" element data for this PLY file
+******************************************************************************/
+
+PlyOtherElems *get_other_element_ply( PlyFile *plyfile )
+{
+ int i;
+ PlyElement *elem;
+ char *elem_name;
+ int elem_count;
+ PlyOtherElems *other_elems;
+ OtherElem *other;
+
+ elem = plyfile->which_elem;
+ elem_name = elem->name;
+ elem_count = elem->num;
+
+ /* create room for the new "other" element, initializing the */
+ /* other data structure if necessary */
+
+ if ( plyfile->other_elems == NULL )
+ {
+ plyfile->other_elems = ( PlyOtherElems * ) myalloc ( sizeof ( PlyOtherElems ) );
+ other_elems = plyfile->other_elems;
+ other_elems->other_list = ( OtherElem * ) myalloc ( sizeof ( OtherElem ) );
+ other = &( other_elems->other_list[0] );
+ other_elems->num_elems = 1;
+ }
+ else
+ {
+ other_elems = plyfile->other_elems;
+ other_elems->other_list = ( OtherElem * ) realloc ( other_elems->other_list,
+ sizeof ( OtherElem ) * other_elems->num_elems + 1 );
+ other = &( other_elems->other_list[other_elems->num_elems] );
+ other_elems->num_elems++;
+ }
+
+ /* count of element instances in file */
+ other->elem_count = elem_count;
+
+ /* save name of element */
+ other->elem_name = strdup ( elem_name );
+
+ /* create a list to hold all the current elements */
+ other->other_data = ( OtherData * * )
+ malloc ( sizeof ( OtherData * ) * other->elem_count );
+
+ /* set up for getting elements */
+ other->other_props = ply_get_other_properties ( plyfile, elem_name,
+ offsetof( OtherData,other_props ) );
+
+ /* grab all these elements */
+ for ( i = 0; i < other->elem_count; i++ )
+ {
+ /* grab and element from the file */
+ other->other_data[i] = ( OtherData * ) malloc ( sizeof ( OtherData ) );
+ ply_get_element ( plyfile, ( void * ) other->other_data[i] );
+ }
+
+ /* return pointer to the other elements data */
+ return ( other_elems );
+}
+
+
+/******************************************************************************
+Write out the "other" elements specified for this PLY file.
+
+Entry:
+plyfile - pointer to PLY file to write out other elements for
+******************************************************************************/
+
+void put_other_elements_ply( PlyFile *plyfile )
+{
+ int i,j;
+ OtherElem *other;
+
+ /* make sure we have other elements to write */
+ if ( plyfile->other_elems == NULL )
+ return;
+
+ /* write out the data for each "other" element */
+
+ for ( i = 0; i < plyfile->other_elems->num_elems; i++ )
+ {
+ other = &( plyfile->other_elems->other_list[i] );
+ put_element_setup_ply ( plyfile, other->elem_name );
+
+ /* write out each instance of the current element */
+ for ( j = 0; j < other->elem_count; j++ )
+ put_element_ply ( plyfile, ( void * ) other->other_data[j] );
+ }
+}
+
+
+/******************************************************************************
+Free up storage used by an "other" elements data structure.
+
+Entry:
+other_elems - data structure to free up
+******************************************************************************/
+
+void free_other_elements_ply( PlyOtherElems *other_elems )
+{
+}
+
+
+
+/*******************/
+/* Miscellaneous */
+/*******************/
+
+
+
+/******************************************************************************
+Close a PLY file.
+
+Entry:
+plyfile - identifier of file to close
+******************************************************************************/
+
+void ply_close( PlyFile *plyfile )
+{
+ fclose ( plyfile->fp );
+
+ /* free up memory associated with the PLY file */
+ free ( plyfile );
+}
+
+
+/******************************************************************************
+Get version number and file type of a PlyFile.
+
+Entry:
+ply - pointer to PLY file
+
+Exit:
+version - version of the file
+file_type - PLY_ASCII, PLY_BINARY_BE, or PLY_BINARY_LE
+******************************************************************************/
+
+void get_info_ply( PlyFile *ply, float *version, int *file_type )
+{
+ if ( ply == NULL )
+ return;
+
+ *version = ply->version;
+ *file_type = ply->file_type;
+}
+
+
+/******************************************************************************
+Compare two strings. Returns 1 if they are the same, 0 if not.
+******************************************************************************/
+
+int equal_strings( char *s1, char *s2 )
+{
+ while ( *s1 && *s2 )
+ if ( *s1++ != *s2++ )
+ return ( 0 );
+
+ if ( *s1 != *s2 )
+ return ( 0 );
+ else
+ return ( 1 );
+}
+
+
+/******************************************************************************
+Re-create the command line that was used to invoke this program.
+
+Entry:
+argc - number of words in argv
+argv - array of words in command line
+******************************************************************************/
+
+char *recreate_command_line( int argc, char *argv[] )
+{
+ int i;
+ char *line;
+ int len = 0;
+
+ /* count total number of characters needed, including separating spaces */
+ for ( i = 0; i < argc; i++ )
+ len += strlen( argv[i] ) + 1;
+
+ /* create empty line */
+ line = ( char * ) malloc ( sizeof( char ) * len );
+ line[0] = '\0';
+
+ /* repeatedly append argv */
+ for ( i = 0; i < argc; i++ )
+ {
+ strcat ( line, argv[i] );
+ if ( i != argc - 1 )
+ strcat ( line, " " );
+ }
+
+ return ( line );
+}
+
+
+/******************************************************************************
+Find an element from the element list of a given PLY object.
+
+Entry:
+plyfile - file id for PLY file
+element - name of element we're looking for
+
+Exit:
+returns the element, or NULL if not found
+******************************************************************************/
+
+PlyElement *find_element( PlyFile *plyfile, char *element )
+{
+ int i;
+
+ for ( i = 0; i < plyfile->num_elem_types; i++ )
+ if ( equal_strings ( element, plyfile->elems[i]->name ) )
+ return ( plyfile->elems[i] );
+
+ return ( NULL );
+}
+
+
+/******************************************************************************
+Find a property in the list of properties of a given element.
+
+Entry:
+elem - pointer to element in which we want to find the property
+prop_name - name of property to find
+
+Exit:
+index - index to position in list
+returns a pointer to the property, or NULL if not found
+******************************************************************************/
+
+PlyProperty *find_property( PlyElement *elem, char *prop_name, int *index )
+{
+ int i;
+
+ for ( i = 0; i < elem->nprops; i++ )
+ if ( equal_strings ( prop_name, elem->props[i]->name ) )
+ {
+ *index = i;
+ return ( elem->props[i] );
+ }
+
+ *index = -1;
+ return ( NULL );
+}
+
+
+/******************************************************************************
+Read an element from an ascii file.
+
+Entry:
+plyfile - file identifier
+elem_ptr - pointer to element
+******************************************************************************/
+
+void ascii_get_element( PlyFile *plyfile, char *elem_ptr )
+{
+ int j,k;
+ PlyElement *elem;
+ PlyProperty *prop;
+ char* *words;
+ int nwords;
+ int which_word;
+ char *elem_data,*item;
+ char *item_ptr;
+ int item_size;
+ int int_val;
+ unsigned int uint_val;
+ double double_val;
+ int list_count;
+ int store_it;
+ char* *store_array;
+ char *orig_line;
+ char *other_data;
+ int other_flag;
+
+ item = (char*) NULL ;
+ other_data = (char*) NULL ;
+
+ /* the kind of element we're reading currently */
+ elem = plyfile->which_elem;
+
+ /* do we need to setup for other_props? */
+
+ if ( elem->other_offset != NO_OTHER_PROPS )
+ {
+ char* *ptr;
+ other_flag = 1;
+ /* make room for other_props */
+ other_data = ( char * ) myalloc ( elem->other_size );
+ /* store pointer in user's structure to the other_props */
+ ptr = ( char * * ) ( elem_ptr + elem->other_offset );
+ *ptr = other_data;
+ }
+ else
+ other_flag = 0;
+
+ /* read in the element */
+
+ words = get_words ( plyfile->fp, &nwords, &orig_line );
+ if ( words == NULL )
+ {
+ fprintf ( stderr, "ply_get_element: unexpected end of file\n" );
+ exit ( -1 );
+ }
+
+ which_word = 0;
+
+ for ( j = 0; j < elem->nprops; j++ )
+ {
+ prop = elem->props[j];
+ store_it = ( elem->store_prop[j] | other_flag );
+
+ /* store either in the user's structure or in other_props */
+ if ( elem->store_prop[j] )
+ elem_data = elem_ptr;
+ else
+ elem_data = other_data;
+
+ if ( prop->is_list == PLY_LIST )
+ {
+ /* a list */
+
+ /* get and store the number of items in the list */
+ get_ascii_item ( words[which_word++], prop->count_external,
+ &int_val, &uint_val, &double_val );
+ if ( store_it )
+ {
+ item = elem_data + prop->count_offset;
+ store_item( item, prop->count_internal, int_val, uint_val, double_val );
+ }
+
+ /* allocate space for an array of items and store a ptr to the array */
+ list_count = int_val;
+ item_size = ply_type_size[prop->internal_type];
+ store_array = ( char * * ) ( elem_data + prop->offset );
+
+ if ( list_count == 0 )
+ {
+ if ( store_it )
+ *store_array = NULL;
+ }
+ else
+ {
+ if ( store_it )
+ {
+ item_ptr = ( char * ) myalloc ( sizeof ( char ) * item_size * list_count );
+ item = item_ptr;
+ *store_array = item_ptr;
+ }
+
+ /* read items and store them into the array */
+ for ( k = 0; k < list_count; k++ )
+ {
+ get_ascii_item ( words[which_word++], prop->external_type,
+ &int_val, &uint_val, &double_val );
+ if ( store_it )
+ {
+ store_item ( item, prop->internal_type,
+ int_val, uint_val, double_val );
+ item += item_size;
+ }
+ }
+ }
+ }
+ else if ( prop->is_list == PLY_STRING )
+ {
+ /* a string */
+ if ( store_it )
+ {
+ char *str;
+ char* *str_ptr;
+ str = strdup ( words[which_word++] );
+ item = elem_data + prop->offset;
+ str_ptr = ( char * * ) item;
+ *str_ptr = str;
+ }
+ else
+ {
+ which_word++;
+ }
+ }
+ else
+ {
+ /* a scalar */
+ get_ascii_item ( words[which_word++], prop->external_type,
+ &int_val, &uint_val, &double_val );
+ if ( store_it )
+ {
+ item = elem_data + prop->offset;
+ store_item ( item, prop->internal_type, int_val, uint_val, double_val );
+ }
+ }
+ }
+
+ free ( words );
+}
+
+
+/******************************************************************************
+Read an element from a binary file.
+
+Entry:
+plyfile - file identifier
+elem_ptr - pointer to an element
+******************************************************************************/
+
+void binary_get_element( PlyFile *plyfile, char *elem_ptr )
+{
+ int j,k;
+ PlyElement *elem;
+ PlyProperty *prop;
+ FILE *fp = plyfile->fp;
+ char *elem_data;
+ char *item;
+ char *item_ptr;
+ int item_size;
+ int int_val;
+ unsigned int uint_val;
+ double double_val;
+ int list_count;
+ int store_it;
+ char* *store_array;
+ char *other_data;
+ int other_flag;
+
+ item = (char*) NULL ;
+ other_data = (char*) NULL ;
+
+ /* the kind of element we're reading currently */
+ elem = plyfile->which_elem;
+
+ /* do we need to setup for other_props? */
+
+ if ( elem->other_offset != NO_OTHER_PROPS )
+ {
+ char* *ptr;
+ other_flag = 1;
+ /* make room for other_props */
+ other_data = ( char * ) myalloc ( elem->other_size );
+ /* store pointer in user's structure to the other_props */
+ ptr = ( char * * ) ( elem_ptr + elem->other_offset );
+ *ptr = other_data;
+ }
+ else
+ other_flag = 0;
+
+ /* read in a number of elements */
+
+ for ( j = 0; j < elem->nprops; j++ )
+ {
+ prop = elem->props[j];
+ store_it = ( elem->store_prop[j] | other_flag );
+
+ /* store either in the user's structure or in other_props */
+ if ( elem->store_prop[j] )
+ elem_data = elem_ptr;
+ else
+ elem_data = other_data;
+
+ if ( prop->is_list == PLY_LIST )
+ {
+ /* list */
+
+ /* get and store the number of items in the list */
+ get_binary_item ( fp, prop->count_external,
+ &int_val, &uint_val, &double_val );
+ if ( store_it )
+ {
+ item = elem_data + prop->count_offset;
+ store_item( item, prop->count_internal, int_val, uint_val, double_val );
+ }
+
+ /* allocate space for an array of items and store a ptr to the array */
+ list_count = int_val;
+ item_size = ply_type_size[prop->internal_type];
+ store_array = ( char * * ) ( elem_data + prop->offset );
+ if ( list_count == 0 )
+ {
+ if ( store_it )
+ *store_array = NULL;
+ }
+ else
+ {
+ if ( store_it )
+ {
+ item_ptr = ( char * ) myalloc ( sizeof ( char ) * item_size * list_count );
+ item = item_ptr;
+ *store_array = item_ptr;
+ }
+
+ /* read items and store them into the array */
+ for ( k = 0; k < list_count; k++ )
+ {
+ get_binary_item ( fp, prop->external_type,
+ &int_val, &uint_val, &double_val );
+ if ( store_it )
+ {
+ store_item ( item, prop->internal_type,
+ int_val, uint_val, double_val );
+ item += item_size;
+ }
+ }
+ }
+ }
+ else if ( prop->is_list == PLY_STRING )
+ {
+ /* string */
+ int len;
+ char *str;
+ fread ( &len, sizeof( int ), 1, fp );
+ str = ( char * ) myalloc ( len );
+ fread ( str, len, 1, fp );
+ if ( store_it )
+ {
+ char* *str_ptr;
+ item = elem_data + prop->offset;
+ str_ptr = ( char * * ) item;
+ *str_ptr = str;
+ }
+ }
+ else
+ {
+ /* scalar */
+ get_binary_item ( fp, prop->external_type,
+ &int_val, &uint_val, &double_val );
+ if ( store_it )
+ {
+ item = elem_data + prop->offset;
+ store_item ( item, prop->internal_type, int_val, uint_val, double_val );
+ }
+ }
+ }
+}
+
+
+/******************************************************************************
+Write to a file the word that represents a PLY data type.
+
+Entry:
+fp - file pointer
+code - code for type
+******************************************************************************/
+
+void write_scalar_type( FILE *fp, int code )
+{
+ /* make sure this is a valid code */
+
+ if ( code <= StartType || code >= EndType )
+ {
+ fprintf ( stderr, "write_scalar_type: bad data code = %d\n", code );
+ exit ( -1 );
+ }
+
+ /* write the code to a file */
+
+ fprintf ( fp, "%s", type_names[code] );
+}
+
+
+/******************************************************************************
+Get a text line from a file and break it up into words.
+
+IMPORTANT: The calling routine should call "free" on the returned pointer once
+finished with it.
+
+Entry:
+fp - file to read from
+
+Exit:
+nwords - number of words returned
+orig_line - the original line of characters
+returns a list of words from the line, or NULL if end-of-file
+******************************************************************************/
+
+char **get_words( FILE *fp, int *nwords, char **orig_line )
+{
+#define BIG_STRING 4096
+ static char str[BIG_STRING];
+ static char str_copy[BIG_STRING];
+ char* *words;
+ int max_words = 10;
+ int num_words = 0;
+ char *ptr,*ptr2;
+ char *result;
+
+ words = ( char * * ) myalloc ( sizeof ( char * ) * max_words );
+
+ /* read in a line */
+ result = fgets ( str, BIG_STRING, fp );
+ if ( result == NULL )
+ {
+ *nwords = 0;
+ *orig_line = NULL;
+ return ( NULL );
+ }
+
+ /* convert line-feed and tabs into spaces */
+ /* (this guarentees that there will be a space before the */
+ /* null character at the end of the string) */
+
+ str[BIG_STRING - 2] = ' ';
+ str[BIG_STRING - 1] = '\0';
+
+ for ( ptr = str, ptr2 = str_copy; *ptr != '\0'; ptr++, ptr2++ )
+ {
+ *ptr2 = *ptr;
+ if ( *ptr == '\t' )
+ {
+ *ptr = ' ';
+ *ptr2 = ' ';
+ }
+ else if ( *ptr == '\n' )
+ {
+ *ptr = ' ';
+ *ptr2 = ' ';
+ break;
+ }
+ else if ( *ptr == '\r' )
+ {
+ *ptr = ' ';
+ *ptr2 = '\0';
+ }
+ }
+
+ /* find the words in the line */
+
+ ptr = str;
+ while ( *ptr != '\0' )
+ {
+ /* jump over leading spaces */
+ while ( *ptr == ' ' )
+ ptr++;
+
+ /* break if we reach the end */
+ if ( *ptr == '\0' )
+ break;
+
+ /* allocate more room for words if necessary */
+ if ( num_words >= max_words )
+ {
+ max_words += 10;
+ words = ( char * * ) realloc ( words, sizeof ( char * ) * max_words );
+ }
+
+ if ( *ptr == '\"' )
+ {
+ /* a quote indidicates that we have a string */
+
+ /* skip over leading quote */
+ ptr++;
+
+ /* save pointer to beginning of word */
+ words[num_words++] = ptr;
+
+ /* find trailing quote or end of line */
+ while ( *ptr != '\"' && *ptr != '\0' )
+ ptr++;
+
+ /* replace quote with a null character to mark the end of the word */
+ /* if we are not already at the end of the line */
+ if ( *ptr != '\0' )
+ *ptr++ = '\0';
+ }
+ else
+ {
+ /* non-string */
+
+ /* save pointer to beginning of word */
+ words[num_words++] = ptr;
+
+ /* jump over non-spaces */
+ while ( *ptr != ' ' )
+ ptr++;
+
+ /* place a null character here to mark the end of the word */
+ *ptr++ = '\0';
+ }
+ }
+
+ /* return the list of words */
+ *nwords = num_words;
+ *orig_line = str_copy;
+ return ( words );
+}
+
+
+/******************************************************************************
+Return the value of an item, given a pointer to it and its type.
+
+Entry:
+item - pointer to item
+type - data type that "item" points to
+
+Exit:
+returns a double-precision float that contains the value of the item
+******************************************************************************/
+
+double get_item_value( char *item, int type )
+{
+ unsigned char *puchar;
+ char *pchar;
+ short int *pshort;
+ unsigned short int *pushort;
+ int *pint;
+ unsigned int *puint;
+ float *pfloat;
+ double *pdouble;
+ int int_value;
+ unsigned int uint_value;
+ double double_value;
+
+ switch ( type )
+ {
+ case Int8:
+ pchar = ( char * ) item;
+ int_value = *pchar;
+ return ( ( double ) int_value );
+ case Uint8:
+ puchar = ( unsigned char * ) item;
+ int_value = *puchar;
+ return ( ( double ) int_value );
+ case Int16:
+ pshort = ( short int * ) item;
+ int_value = *pshort;
+ return ( ( double ) int_value );
+ case Uint16:
+ pushort = ( unsigned short int * ) item;
+ int_value = *pushort;
+ return ( ( double ) int_value );
+ case Int32:
+ pint = ( int * ) item;
+ int_value = *pint;
+ return ( ( double ) int_value );
+ case Uint32:
+ puint = ( unsigned int * ) item;
+ uint_value = *puint;
+ return ( ( double ) uint_value );
+ case Float32:
+ pfloat = ( float * ) item;
+ double_value = *pfloat;
+ return ( double_value );
+ case Float64:
+ pdouble = ( double * ) item;
+ double_value = *pdouble;
+ return ( double_value );
+ default:
+ fprintf ( stderr, "get_item_value: bad type = %d\n", type );
+ exit ( -1 );
+ }
+
+ return ( 0.0 ); /* never actually gets here */
+}
+
+
+/******************************************************************************
+Write out an item to a file as raw binary bytes.
+
+Entry:
+fp - file to write to
+int_val - integer version of item
+uint_val - unsigned integer version of item
+double_val - double-precision float version of item
+type - data type to write out
+******************************************************************************/
+
+void write_binary_item( FILE *fp, int int_val, unsigned int uint_val, double double_val, int type )
+{
+ unsigned char uchar_val;
+ char char_val;
+ unsigned short ushort_val;
+ short short_val;
+ float float_val;
+
+ switch ( type )
+ {
+ case Int8:
+ char_val = int_val;
+ fwrite ( &char_val, 1, 1, fp );
+ break;
+ case Int16:
+ short_val = int_val;
+ fwrite ( &short_val, 2, 1, fp );
+ break;
+ case Int32:
+ fwrite ( &int_val, 4, 1, fp );
+ break;
+ case Uint8:
+ uchar_val = uint_val;
+ fwrite ( &uchar_val, 1, 1, fp );
+ break;
+ case Uint16:
+ ushort_val = uint_val;
+ fwrite ( &ushort_val, 2, 1, fp );
+ break;
+ case Uint32:
+ fwrite ( &uint_val, 4, 1, fp );
+ break;
+ case Float32:
+ float_val = ( float ) double_val;
+ fwrite ( &float_val, 4, 1, fp );
+ break;
+ case Float64:
+ fwrite ( &double_val, 8, 1, fp );
+ break;
+ default:
+ fprintf ( stderr, "write_binary_item: bad type = %d\n", type );
+ exit ( -1 );
+ }
+}
+
+
+/******************************************************************************
+Write out an item to a file as ascii characters.
+
+Entry:
+fp - file to write to
+int_val - integer version of item
+uint_val - unsigned integer version of item
+double_val - double-precision float version of item
+type - data type to write out
+******************************************************************************/
+
+void write_ascii_item( FILE *fp, int int_val, unsigned int uint_val, double double_val, int type )
+{
+ switch ( type )
+ {
+ case Int8:
+ case Int16:
+ case Int32:
+ fprintf ( fp, "%d ", int_val );
+ break;
+ case Uint8:
+ case Uint16:
+ case Uint32:
+ fprintf ( fp, "%u ", uint_val );
+ break;
+ case Float32:
+ case Float64:
+ fprintf ( fp, "%12f ", double_val );
+ break;
+ default:
+ fprintf ( stderr, "write_ascii_item: bad type = %d\n", type );
+ exit ( -1 );
+ }
+}
+
+
+/******************************************************************************
+Get the value of an item that is in memory, and place the result
+into an integer, an unsigned integer and a double.
+
+Entry:
+ptr - pointer to the item
+type - data type supposedly in the item
+
+Exit:
+int_val - integer value
+uint_val - unsigned integer value
+double_val - double-precision floating point value
+******************************************************************************/
+
+void get_stored_item( void *ptr, int type, int *int_val, unsigned int *uint_val, double *double_val )
+{
+ switch ( type )
+ {
+ case Int8:
+ *int_val = *( ( char * ) ptr );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+ case Uint8:
+ *uint_val = *( ( unsigned char * ) ptr );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+ case Int16:
+ *int_val = *( ( short int * ) ptr );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+ case Uint16:
+ *uint_val = *( ( unsigned short int * ) ptr );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+ case Int32:
+ *int_val = *( ( int * ) ptr );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+ case Uint32:
+ *uint_val = *( ( unsigned int * ) ptr );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+ case Float32:
+ *double_val = *( ( float * ) ptr );
+ *int_val = ( int ) *double_val;
+ *uint_val = ( unsigned int ) *double_val;
+ break;
+ case Float64:
+ *double_val = *( ( double * ) ptr );
+ *int_val = ( int ) *double_val;
+ *uint_val = ( unsigned int ) *double_val;
+ break;
+ default:
+ fprintf ( stderr, "get_stored_item: bad type = %d\n", type );
+ exit ( -1 );
+ }
+}
+
+
+/******************************************************************************
+Get the value of an item from a binary file, and place the result
+into an integer, an unsigned integer and a double.
+
+Entry:
+fp - file to get item from
+type - data type supposedly in the word
+
+Exit:
+int_val - integer value
+uint_val - unsigned integer value
+double_val - double-precision floating point value
+******************************************************************************/
+
+void get_binary_item( FILE *fp, int type, int *int_val, unsigned int *uint_val, double *double_val )
+{
+ char c[8];
+ void *ptr;
+
+ ptr = ( void * ) c;
+
+ switch ( type )
+ {
+ case Int8:
+ fread ( ptr, 1, 1, fp );
+ *int_val = *( ( char * ) ptr );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+ case Uint8:
+ fread ( ptr, 1, 1, fp );
+ *uint_val = *( ( unsigned char * ) ptr );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+ case Int16:
+ fread ( ptr, 2, 1, fp );
+ *int_val = *( ( short int * ) ptr );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+ case Uint16:
+ fread ( ptr, 2, 1, fp );
+ *uint_val = *( ( unsigned short int * ) ptr );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+ case Int32:
+ fread ( ptr, 4, 1, fp );
+ *int_val = *( ( int * ) ptr );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+ case Uint32:
+ fread ( ptr, 4, 1, fp );
+ *uint_val = *( ( unsigned int * ) ptr );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+ case Float32:
+ fread ( ptr, 4, 1, fp );
+ *double_val = *( ( float * ) ptr );
+ *int_val = ( int ) *double_val;
+ *uint_val = ( unsigned int ) *double_val;
+ break;
+ case Float64:
+ fread ( ptr, 8, 1, fp );
+ *double_val = *( ( double * ) ptr );
+ *int_val = ( int ) *double_val;
+ *uint_val = ( unsigned int ) *double_val;
+ break;
+ default:
+ fprintf ( stderr, "get_binary_item: bad type = %d\n", type );
+ exit ( -1 );
+ }
+}
+
+
+/******************************************************************************
+Extract the value of an item from an ascii word, and place the result
+into an integer, an unsigned integer and a double.
+
+Entry:
+word - word to extract value from
+type - data type supposedly in the word
+
+Exit:
+int_val - integer value
+uint_val - unsigned integer value
+double_val - double-precision floating point value
+******************************************************************************/
+
+void get_ascii_item( char *word, int type, int *int_val, unsigned int *uint_val, double *double_val )
+{
+ switch ( type )
+ {
+ case Int8:
+ case Uint8:
+ case Int16:
+ case Uint16:
+ case Int32:
+ *int_val = atoi ( word );
+ *uint_val = *int_val;
+ *double_val = *int_val;
+ break;
+
+ case Uint32:
+ *uint_val = strtoul ( word, ( char * * ) NULL, 10 );
+ *int_val = *uint_val;
+ *double_val = *uint_val;
+ break;
+
+ case Float32:
+ case Float64:
+ *double_val = atof ( word );
+ *int_val = ( int ) *double_val;
+ *uint_val = ( unsigned int ) *double_val;
+ break;
+
+ default:
+ fprintf ( stderr, "get_ascii_item: bad type = %d\n", type );
+ exit ( -1 );
+ }
+}
+
+
+/******************************************************************************
+Store a value into a place being pointed to, guided by a data type.
+
+Entry:
+item - place to store value
+type - data type
+int_val - integer version of value
+uint_val - unsigned integer version of value
+double_val - double version of value
+
+Exit:
+item - pointer to stored value
+******************************************************************************/
+
+void store_item( char *item, int type, int int_val, unsigned int uint_val, double double_val )
+{
+ unsigned char *puchar;
+ short int *pshort;
+ unsigned short int *pushort;
+ int *pint;
+ unsigned int *puint;
+ float *pfloat;
+ double *pdouble;
+
+ switch ( type )
+ {
+ case Int8:
+ *item = int_val;
+ break;
+ case Uint8:
+ puchar = ( unsigned char * ) item;
+ *puchar = uint_val;
+ break;
+ case Int16:
+ pshort = ( short * ) item;
+ *pshort = int_val;
+ break;
+ case Uint16:
+ pushort = ( unsigned short * ) item;
+ *pushort = uint_val;
+ break;
+ case Int32:
+ pint = ( int * ) item;
+ *pint = int_val;
+ break;
+ case Uint32:
+ puint = ( unsigned int * ) item;
+ *puint = uint_val;
+ break;
+ case Float32:
+ pfloat = ( float * ) item;
+ *pfloat = ( float ) double_val;
+ break;
+ case Float64:
+ pdouble = ( double * ) item;
+ *pdouble = double_val;
+ break;
+ default:
+ fprintf ( stderr, "store_item: bad type = %d\n", type );
+ exit ( -1 );
+ }
+}
+
+
+/******************************************************************************
+Add an element to a PLY file descriptor.
+
+Entry:
+plyfile - PLY file descriptor
+words - list of words describing the element
+nwords - number of words in the list
+******************************************************************************/
+
+void add_element( PlyFile *plyfile, char **words, int nwords )
+{
+ PlyElement *elem;
+
+ /* create the new element */
+ elem = ( PlyElement * ) myalloc ( sizeof ( PlyElement ) );
+ elem->name = strdup ( words[1] );
+ elem->num = atoi ( words[2] );
+ elem->nprops = 0;
+
+ /* make room for new element in the object's list of elements */
+ if ( plyfile->num_elem_types == 0 )
+ plyfile->elems = ( PlyElement * * ) myalloc ( sizeof ( PlyElement * ) );
+ else
+ plyfile->elems = ( PlyElement * * ) realloc ( plyfile->elems,
+ sizeof ( PlyElement * ) * ( plyfile->num_elem_types + 1 ) );
+
+ /* add the new element to the object's list */
+ plyfile->elems[plyfile->num_elem_types] = elem;
+ plyfile->num_elem_types++;
+}
+
+
+/******************************************************************************
+Return the type of a property, given the name of the property.
+
+Entry:
+name - name of property type
+
+Exit:
+returns integer code for property, or 0 if not found
+******************************************************************************/
+
+int get_prop_type( char *type_name )
+{
+ int i;
+
+ /* try to match the type name */
+ for ( i = StartType + 1; i < EndType; i++ )
+ if ( equal_strings ( type_name, type_names[i] ) )
+ return ( i );
+
+ /* see if we can match an old type name */
+ for ( i = StartType + 1; i < EndType; i++ )
+ if ( equal_strings ( type_name, old_type_names[i] ) )
+ return ( i );
+
+ /* if we get here, we didn't find the type */
+ return ( 0 );
+}
+
+
+/******************************************************************************
+Add a property to a PLY file descriptor.
+
+Entry:
+plyfile - PLY file descriptor
+words - list of words describing the property
+nwords - number of words in the list
+******************************************************************************/
+
+void add_property( PlyFile *plyfile, char **words, int nwords )
+{
+ PlyProperty *prop;
+ PlyElement *elem;
+
+ /* create the new property */
+
+ prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+
+ if ( equal_strings ( words[1], "list" ) )
+ {
+ /* list */
+ prop->count_external = get_prop_type ( words[2] );
+ prop->external_type = get_prop_type ( words[3] );
+ prop->name = strdup ( words[4] );
+ prop->is_list = PLY_LIST;
+ }
+ else if ( equal_strings ( words[1], "string" ) )
+ {
+ /* string */
+ prop->count_external = Int8;
+ prop->external_type = Int8;
+ prop->name = strdup ( words[2] );
+ prop->is_list = PLY_STRING;
+ }
+ else
+ {
+ /* scalar */
+ prop->external_type = get_prop_type ( words[1] );
+ prop->name = strdup ( words[2] );
+ prop->is_list = PLY_SCALAR;
+ }
+
+ /* add this property to the list of properties of the current element */
+
+ elem = plyfile->elems[plyfile->num_elem_types - 1];
+
+ if ( elem->nprops == 0 )
+ elem->props = ( PlyProperty * * ) myalloc ( sizeof ( PlyProperty * ) );
+ else
+ elem->props = ( PlyProperty * * ) realloc ( elem->props,
+ sizeof ( PlyProperty * ) * ( elem->nprops + 1 ) );
+
+ elem->props[elem->nprops] = prop;
+ elem->nprops++;
+}
+
+
+/******************************************************************************
+Add a comment to a PLY file descriptor.
+
+Entry:
+plyfile - PLY file descriptor
+line - line containing comment
+******************************************************************************/
+
+void add_comment( PlyFile *plyfile, char *line )
+{
+ int i;
+
+ /* skip over "comment" and leading spaces and tabs */
+ i = 7;
+ while ( line[i] == ' ' || line[i] == '\t' )
+ i++;
+
+ append_comment_ply ( plyfile, &line[i] );
+}
+
+
+/******************************************************************************
+Add a some object information to a PLY file descriptor.
+
+Entry:
+plyfile - PLY file descriptor
+line - line containing text info
+******************************************************************************/
+
+void add_obj_info( PlyFile *plyfile, char *line )
+{
+ int i;
+
+ /* skip over "obj_info" and leading spaces and tabs */
+ i = 8;
+ while ( line[i] == ' ' || line[i] == '\t' )
+ i++;
+
+ append_obj_info_ply ( plyfile, &line[i] );
+}
+
+
+/******************************************************************************
+Copy a property.
+******************************************************************************/
+
+void copy_property( PlyProperty *dest, PlyProperty *src )
+{
+ dest->name = strdup ( src->name );
+ dest->external_type = src->external_type;
+ dest->internal_type = src->internal_type;
+ dest->offset = src->offset;
+
+ dest->is_list = src->is_list;
+ dest->count_external = src->count_external;
+ dest->count_internal = src->count_internal;
+ dest->count_offset = src->count_offset;
+}
+
+
+/******************************************************************************
+Allocate some memory.
+
+Entry:
+size - amount of memory requested (in bytes)
+lnum - line number from which memory was requested
+fname - file name from which memory was requested
+******************************************************************************/
+
+static char *my_alloc( int size, int lnum, char *fname )
+{
+ char *ptr;
+
+ ptr = ( char * ) malloc ( size );
+
+ if ( ptr == 0 )
+ {
+ fprintf( stderr, "Memory allocation bombed on line %d in %s\n", lnum, fname );
+ }
+
+ return ( ptr );
+}
+
+
+/**** NEW STUFF ****/
+/**** NEW STUFF ****/
+/**** NEW STUFF ****/
+/**** NEW STUFF ****/
+
+
+
+/******************************************************************************
+Given a file pointer, get ready to read PLY data from the file.
+
+Entry:
+fp - the given file pointer
+
+Exit:
+nelems - number of elements in object
+elem_names - list of element names
+returns a pointer to a PlyFile, used to refer to this file, or NULL if error
+******************************************************************************/
+
+PlyFile *read_ply( FILE *fp )
+{
+ PlyFile *ply;
+ int num_elems;
+ char* *elem_names;
+
+ ply = ply_read ( fp, &num_elems, &elem_names );
+
+ return ( ply );
+}
+
+
+/******************************************************************************
+Given a file pointer, get ready to write PLY data to the file.
+
+Entry:
+fp - the given file pointer
+nelems - number of elements in object
+elem_names - list of element names
+file_type - file type, either ascii or binary
+
+Exit:
+returns a pointer to a PlyFile, used to refer to this file, or NULL if error
+******************************************************************************/
+
+PlyFile *write_ply( FILE *fp, int nelems, char **elem_names, int file_type )
+{
+ PlyFile *ply;
+
+ ply = ply_write ( fp, nelems, elem_names, file_type );
+
+ return ( ply );
+}
+
+
+/******************************************************************************
+Return a list of the names of the elements in a particular PLY file.
+
+Entry:
+ply - PLY file whose element name list we want
+
+Exit:
+num_elems - the number of element names in the list
+returns the list of names
+******************************************************************************/
+
+char **get_element_list_ply( PlyFile *ply, int *num_elems )
+{
+ int i;
+ char* *elist;
+
+ /* create the list of element names */
+
+ elist = ( char * * ) myalloc ( sizeof ( char * ) * ply->num_elem_types );
+ for ( i = 0; i < ply->num_elem_types; i++ )
+ elist[i] = strdup ( ply->elems[i]->name );
+
+ /* return the number of elements and the list of element names */
+ *num_elems = ply->num_elem_types;
+ return ( elist );
+}
+
+
+/******************************************************************************
+Append a comment to a PLY file.
+
+Entry:
+ply - file to append comment to
+comment - the comment to append
+******************************************************************************/
+
+void append_comment_ply( PlyFile *ply, char *comment )
+{
+ /* (re)allocate space for new comment */
+ if ( ply->num_comments == 0 )
+ ply->comments = ( char * * ) myalloc ( sizeof ( char * ) );
+ else
+ ply->comments = ( char * * ) realloc ( ply->comments,
+ sizeof ( char * ) * ( ply->num_comments + 1 ) );
+
+ /* add comment to list */
+ ply->comments[ply->num_comments] = strdup ( comment );
+ ply->num_comments++;
+}
+
+
+/******************************************************************************
+Copy the comments from one PLY file to another.
+
+Entry:
+out_ply - destination file to copy comments to
+in_ply - the source of the comments
+******************************************************************************/
+
+void copy_comments_ply( PlyFile *out_ply, PlyFile *in_ply )
+{
+ int i;
+
+ for ( i = 0; i < in_ply->num_comments; i++ )
+ append_comment_ply ( out_ply, in_ply->comments[i] );
+}
+
+
+/******************************************************************************
+Append object information (arbitrary text) to a PLY file.
+
+Entry:
+ply - file to append object info to
+obj_info - the object info to append
+******************************************************************************/
+
+void append_obj_info_ply( PlyFile *ply, char *obj_info )
+{
+ /* (re)allocate space for new info */
+ if ( ply->num_obj_info == 0 )
+ ply->obj_info = ( char * * ) myalloc ( sizeof ( char * ) );
+ else
+ ply->obj_info = ( char * * ) realloc ( ply->obj_info,
+ sizeof ( char * ) * ( ply->num_obj_info + 1 ) );
+
+ /* add info to list */
+ ply->obj_info[ply->num_obj_info] = strdup ( obj_info );
+ ply->num_obj_info++;
+}
+
+
+/******************************************************************************
+Copy the object information from one PLY file to another.
+
+Entry:
+out_ply - destination file to copy object information to
+in_ply - the source of the object information
+******************************************************************************/
+
+void copy_obj_info_ply( PlyFile *out_ply, PlyFile *in_ply )
+{
+ int i;
+
+ for ( i = 0; i < in_ply->num_obj_info; i++ )
+ append_obj_info_ply ( out_ply, in_ply->obj_info[i] );
+}
+
+
+/******************************************************************************
+Close a PLY file.
+
+Entry:
+plyfile - identifier of file to close
+******************************************************************************/
+
+void close_ply( PlyFile *plyfile )
+{
+ fclose ( plyfile->fp );
+}
+
+
+/******************************************************************************
+Free the memory used by a PLY file.
+
+Entry:
+plyfile - identifier of file
+******************************************************************************/
+
+void free_ply( PlyFile *plyfile )
+{
+ /* free up memory associated with the PLY file */
+ free ( plyfile );
+}
+
+
+/******************************************************************************
+Specify the index of the next element to be read in from a PLY file.
+
+Entry:
+ply - file to read from
+index - index of the element to be read
+
+Exit:
+elem_count - the number of elements in the file
+returns pointer to the name of this next element
+******************************************************************************/
+
+char *setup_element_read_ply( PlyFile *ply, int index, int *elem_count )
+{
+ PlyElement *elem;
+
+ if ( index < 0 || index > ply->num_elem_types )
+ {
+ fprintf ( stderr, "Warning: No element with index %d\n", index );
+ return ( 0 );
+ }
+
+ elem = ply->elems[index];
+
+ /* set this to be the current element */
+ ply->which_elem = elem;
+
+ /* return the number of such elements in the file and the element's name */
+ *elem_count = elem->num;
+ return ( elem->name );
+}
+
+
+/******************************************************************************
+Read one element from the file. This routine assumes that we're reading
+the type of element specified in the last call to the routine
+setup_element_read_ply().
+
+Entry:
+plyfile - file identifier
+elem_ptr - pointer to location where the element information should be put
+******************************************************************************/
+
+void get_element_ply( PlyFile *plyfile, void *elem_ptr )
+{
+ if ( plyfile->file_type == PLY_ASCII )
+ ascii_get_element ( plyfile, ( char * ) elem_ptr );
+ else
+ binary_get_element ( plyfile, ( char * ) elem_ptr );
+}
+
+
+/******************************************************************************
+Specify one of several properties of the current element that is to be
+read from a file. This should be called (usually multiple times) before a
+call to the routine get_element_ply().
+
+Entry:
+plyfile - file identifier
+prop - property to add to those that will be returned
+
+Exit:
+0 if the property has not been found
+1 if the property has been found
+******************************************************************************/
+
+int setup_property_ply( PlyFile *plyfile, PlyProperty *prop )
+{
+ PlyElement *elem;
+ PlyProperty *prop_ptr;
+ int index;
+
+ elem = plyfile->which_elem;
+
+ /* deposit the property information into the element's description */
+
+ prop_ptr = find_property ( elem, prop->name, &index );
+ if ( prop_ptr == NULL )
+ {
+ fprintf ( stderr, "Warning: Can't find property '%s' in element '%s'\n",
+ prop->name, elem->name );
+ return 0;
+ }
+ prop_ptr->internal_type = prop->internal_type;
+ prop_ptr->offset = prop->offset;
+ prop_ptr->count_internal = prop->count_internal;
+ prop_ptr->count_offset = prop->count_offset;
+
+ /* specify that the user wants this property */
+ elem->store_prop[index] = STORE_PROP;
+ return 1 ;
+}
+
+
+/******************************************************************************
+Specify that we want the "other" properties of the current element to be tucked
+away within the user's structure.
+
+Entry:
+plyfile - file identifier
+offset - offset to where other_props will be stored inside user's structure
+
+Exit:
+returns pointer to structure containing description of other_props
+******************************************************************************/
+
+PlyOtherProp *get_other_properties_ply( PlyFile *plyfile, int offset )
+{
+ PlyOtherProp *other;
+
+ other = get_other_properties ( plyfile, plyfile->which_elem, offset );
+ return ( other );
+}
+
+
+/******************************************************************************
+Describe which element is to be written next and state how many of them will
+be written.
+
+Entry:
+plyfile - file identifier
+elem_name - name of element that information is being described
+nelems - number of elements of this type to be written
+******************************************************************************/
+
+void describe_element_ply( PlyFile *plyfile, char *elem_name, int nelems )
+{
+ PlyElement *elem;
+
+ /* look for appropriate element */
+ elem = find_element ( plyfile, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf( stderr,"describe_element_ply: can't find element '%s'\n",elem_name );
+ exit ( -1 );
+ }
+
+ elem->num = nelems;
+
+ /* now this element is the current element */
+ plyfile->which_elem = elem;
+}
+
+
+/******************************************************************************
+Describe a property of an element.
+
+Entry:
+plyfile - file identifier
+prop - the new property
+******************************************************************************/
+
+void describe_property_ply( PlyFile *plyfile, PlyProperty *prop )
+{
+ PlyElement *elem;
+ PlyProperty *elem_prop;
+
+ elem = plyfile->which_elem;
+
+ /* create room for new property */
+
+ if ( elem->nprops == 0 )
+ {
+ elem->props = ( PlyProperty * * ) myalloc ( sizeof ( PlyProperty * ) );
+ elem->store_prop = ( char * ) myalloc ( sizeof ( char ) );
+ elem->nprops = 1;
+ }
+ else
+ {
+ elem->nprops++;
+ elem->props = ( PlyProperty * * )
+ realloc ( elem->props, sizeof ( PlyProperty * ) * elem->nprops );
+ elem->store_prop = ( char * )
+ realloc ( elem->store_prop, sizeof ( char ) * elem->nprops );
+ }
+
+ /* copy the new property */
+
+ elem_prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+ elem->props[elem->nprops - 1] = elem_prop;
+ elem->store_prop[elem->nprops - 1] = NAMED_PROP;
+ copy_property ( elem_prop, prop );
+}
+
+
+/******************************************************************************
+Describe what the "other" properties are that are to be stored, and where
+they are in an element.
+******************************************************************************/
+
+void describe_other_properties_ply( PlyFile *plyfile, PlyOtherProp *other, int offset )
+{
+ int i;
+ PlyElement *elem;
+ PlyProperty *prop;
+
+ /* look for appropriate element */
+ elem = find_element ( plyfile, other->name );
+ if ( elem == NULL )
+ {
+ fprintf( stderr, "describe_other_properties_ply: can't find element '%s'\n",
+ other->name );
+ return;
+ }
+
+ /* create room for other properties */
+
+ if ( elem->nprops == 0 )
+ {
+ elem->props = ( PlyProperty * * )
+ myalloc ( sizeof ( PlyProperty * ) * other->nprops );
+ elem->store_prop = ( char * ) myalloc ( sizeof ( char ) * other->nprops );
+ elem->nprops = 0;
+ }
+ else
+ {
+ int newsize;
+ newsize = elem->nprops + other->nprops;
+ elem->props = ( PlyProperty * * )
+ realloc ( elem->props, sizeof ( PlyProperty * ) * newsize );
+ elem->store_prop = ( char * )
+ realloc ( elem->store_prop, sizeof ( char ) * newsize );
+ }
+
+ /* copy the other properties */
+
+ for ( i = 0; i < other->nprops; i++ )
+ {
+ prop = ( PlyProperty * ) myalloc ( sizeof ( PlyProperty ) );
+ copy_property ( prop, other->props[i] );
+ elem->props[elem->nprops] = prop;
+ elem->store_prop[elem->nprops] = OTHER_PROP;
+ elem->nprops++;
+ }
+
+ /* save other info about other properties */
+ elem->other_size = other->size;
+ elem->other_offset = offset;
+}
+
+
+/******************************************************************************
+Pass along a pointer to "other" elements that we want to save in a given
+PLY file. These other elements were presumably read from another PLY file.
+
+Entry:
+plyfile - file pointer in which to store this other element info
+other_elems - info about other elements that we want to store
+******************************************************************************/
+
+void describe_other_elements_ply( PlyFile *plyfile, PlyOtherElems *other_elems )
+{
+ int i;
+ OtherElem *other;
+
+ /* ignore this call if there is no other element */
+ if ( other_elems == NULL )
+ return;
+
+ /* save pointer to this information */
+ plyfile->other_elems = other_elems;
+
+ /* describe the other properties of this element */
+
+ for ( i = 0; i < other_elems->num_elems; i++ )
+ {
+ other = &( other_elems->other_list[i] );
+ element_count_ply ( plyfile, other->elem_name, other->elem_count );
+ describe_other_properties_ply ( plyfile, other->other_props,
+ offsetof( OtherData,other_props ) );
+ }
+}
+
+
+
+/**** Property Propagation Rules ****/
+
+
+typedef struct RuleName {
+int code;
+char *name;
+} RuleName;
+
+RuleName rule_name_list[] = {
+{AVERAGE_RULE, "avg"},
+{RANDOM_RULE, "rnd"},
+{MINIMUM_RULE, "max"},
+{MAXIMUM_RULE, "min"},
+{MAJORITY_RULE, "major"},
+{SAME_RULE, "same"},
+{-1, "end_marker"},
+};
+
+
+
+/******************************************************************************
+Initialize the property propagation rules for an element. Default is to
+use averaging (AVERAGE_RULE) for creating all new properties.
+
+Entry:
+ply - PLY object that this is for
+elem_name - name of the element that we're making the rules for
+
+Exit:
+returns pointer to the default rules
+******************************************************************************/
+
+PlyPropRules *init_rule_ply( PlyFile *ply, char *elem_name )
+{
+ int i,j;
+ PlyElement *elem;
+ PlyPropRules *rules;
+ PlyRuleList *list;
+ int found_prop;
+
+ elem = find_element ( ply, elem_name );
+ if ( elem == NULL )
+ {
+ fprintf ( stderr, "init_rule_ply: Can't find element '%s'\n", elem_name );
+ exit ( -1 );
+ }
+
+ rules = ( PlyPropRules * ) myalloc ( sizeof ( PlyPropRules ) );
+ rules->elem = elem;
+ rules->rule_list = ( int * ) myalloc ( sizeof( int ) * elem->nprops );
+ rules->max_props = 0;
+ rules->nprops = 0;
+
+ /* default is to use averaging rule */
+ for ( i = 0; i < elem->nprops; i++ )
+ rules->rule_list[i] = AVERAGE_RULE;
+
+ /* see if there are other rules we should use */
+
+ if ( ply->rule_list == NULL )
+ return ( rules );
+
+ /* try to match the element, property and rule name */
+
+ for ( list = ply->rule_list; list != NULL; list = list->next )
+ {
+ if ( !equal_strings ( list->element, elem->name ) )
+ continue;
+
+ found_prop = 0;
+
+ for ( i = 0; i < elem->nprops; i++ )
+ if ( equal_strings ( list->property, elem->props[i]->name ) )
+ {
+ found_prop = 1;
+
+ /* look for matching rule name */
+ for ( j = 0; rule_name_list[j].code != -1; j++ )
+ if ( equal_strings ( list->name, rule_name_list[j].name ) )
+ {
+ rules->rule_list[i] = rule_name_list[j].code;
+ break;
+ }
+ }
+
+ if ( !found_prop )
+ {
+ fprintf ( stderr, "Can't find property '%s' for rule '%s'\n",
+ list->property, list->name );
+ continue;
+ }
+ }
+
+ return ( rules );
+}
+
+
+/******************************************************************************
+odify a property propagation rule.
+
+Entry:
+rules - rules for the element
+prop_name - name of the property whose rule we're modifying
+rule_type - type of rule (MAXIMUM_RULE, MINIMUM_RULE, MAJORITY_RULE, etc.)
+******************************************************************************/
+
+void modify_rule_ply( PlyPropRules *rules, char *prop_name, int rule_type )
+{
+ int i;
+ PlyElement *elem = rules->elem;
+
+ /* find the property and modify its rule type */
+
+ for ( i = 0; i < elem->nprops; i++ )
+ if ( equal_strings ( elem->props[i]->name, prop_name ) )
+ {
+ rules->rule_list[i] = rule_type;
+ return;
+ }
+
+ /* we didn't find the property if we get here */
+ fprintf ( stderr, "modify_rule_ply: Can't find property '%s'\n", prop_name );
+ exit ( -1 );
+}
+
+
+/******************************************************************************
+Begin to create a set of properties from a set of propagation rules.
+
+Entry:
+ply - PLY object whose rules we're preparing to use
+rules - rules for the element
+******************************************************************************/
+
+void start_props_ply( PlyFile *ply, PlyPropRules *rules )
+{
+ /* PlyElement *elem = rules->elem; */
+
+ /* save pointer to the rules in the PLY object */
+ ply->current_rules = rules;
+
+ /* get ready for new sets of properties to combine */
+ rules->nprops = 0;
+}
+
+
+/******************************************************************************
+Remember a set of properties and their weights for creating a new set of
+properties.
+
+Entry:
+weight - weights for this set of properties
+other_props - the properties to use
+******************************************************************************/
+
+void weight_props_ply( PlyFile *ply, float weight, void *other_props )
+{
+ PlyPropRules *rules = ply->current_rules;
+
+ /* allocate space for properties and weights, if necessary */
+ if ( rules->max_props == 0 )
+ {
+ rules->max_props = 6;
+ rules->props = ( void * * ) myalloc ( sizeof ( void * ) * rules->max_props );
+ rules->weights = ( float * ) myalloc ( sizeof ( float ) * rules->max_props );
+ }
+ if ( rules->nprops == rules->max_props )
+ {
+ rules->max_props *= 2;
+ rules->props = ( void * * ) realloc ( rules->props,
+ sizeof ( void * ) * rules->max_props );
+ rules->weights = ( float * ) realloc ( rules->weights,
+ sizeof ( float ) * rules->max_props );
+ }
+
+ /* remember these new properties and their weights */
+
+ rules->props[rules->nprops] = other_props;
+ rules->weights[rules->nprops] = weight;
+ rules->nprops++;
+}
+
+
+/******************************************************************************
+Return a pointer to a new set of properties that have been created using
+a specified set of property combination rules and a given collection of
+"other" properties.
+
+Exit:
+returns a pointer to the new properties
+******************************************************************************/
+
+void *get_new_props_ply( PlyFile *ply )
+{
+ int i,j;
+ static double *vals;
+ static int max_vals = 0;
+ PlyPropRules *rules = ply->current_rules;
+ PlyElement *elem = rules->elem;
+ PlyProperty *prop;
+ char *data;
+ char *new_data;
+ void *ptr;
+ int offset;
+ int type;
+ double double_val;
+ int int_val;
+ unsigned int uint_val;
+ int random_pick;
+
+ /* return NULL if we've got no "other" properties */
+ if ( elem->other_size == 0 )
+ {
+ return ( NULL );
+ }
+
+ /* create room for combined other properties */
+ new_data = ( char * ) myalloc ( sizeof ( char ) * elem->other_size );
+
+ /* make sure there is enough room to store values we're to combine */
+
+ if ( max_vals == 0 )
+ {
+ max_vals = rules->nprops;
+ vals = ( double * ) myalloc ( sizeof ( double ) * rules->nprops );
+ }
+ if ( rules->nprops >= max_vals )
+ {
+ max_vals = rules->nprops;
+ vals = ( double * ) realloc ( vals, sizeof ( double ) * rules->nprops );
+ }
+
+ /* in case we need a random choice */
+ random_pick = ( int ) floor ( rules->nprops ); //* drand48());
+
+ /* calculate the combination for each "other" property of the element */
+
+ for ( i = 0; i < elem->nprops; i++ )
+ {
+ /* don't bother with properties we've been asked to store explicitly */
+ if ( elem->store_prop[i] )
+ continue;
+
+ prop = elem->props[i];
+ offset = prop->offset;
+ type = prop->external_type;
+
+ /* collect together all the values we're to combine */
+
+ for ( j = 0; j < rules->nprops; j++ )
+ {
+ data = ( char * ) rules->props[j];
+ ptr = ( void * ) ( data + offset );
+ get_stored_item ( ( void * ) ptr, type, &int_val, &uint_val, &double_val );
+ vals[j] = double_val;
+ }
+
+ /* calculate the combined value */
+
+ switch ( rules->rule_list[i] )
+ {
+ case AVERAGE_RULE:
+ {
+ double sum = 0;
+ double weight_sum = 0;
+ for ( j = 0; j < rules->nprops; j++ )
+ {
+ sum += vals[j] * rules->weights[j];
+ weight_sum += rules->weights[j];
+ }
+ double_val = sum / weight_sum;
+ break;
+ }
+ case MINIMUM_RULE:
+ {
+ double_val = vals[0];
+ for ( j = 1; j < rules->nprops; j++ )
+ if ( double_val > vals[j] )
+ double_val = vals[j];
+ break;
+ }
+ case MAXIMUM_RULE:
+ {
+ double_val = vals[0];
+ for ( j = 1; j < rules->nprops; j++ )
+ if ( double_val < vals[j] )
+ double_val = vals[j];
+ break;
+ }
+ case RANDOM_RULE:
+ {
+ double_val = vals[random_pick];
+ break;
+ }
+ case SAME_RULE:
+ {
+ double_val = vals[0];
+ for ( j = 1; j < rules->nprops; j++ )
+ if ( double_val != vals[j] )
+ {
+ fprintf ( stderr,
+ "get_new_props_ply: Error combining properties that should be the same.\n" );
+ exit ( -1 );
+ }
+ break;
+ }
+ default:
+ fprintf ( stderr, "get_new_props_ply: Bad rule = %d\n",
+ rules->rule_list[i] );
+ exit ( -1 );
+ }
+
+ /* store the combined value */
+
+ int_val = ( int ) double_val;
+ uint_val = ( unsigned int ) double_val;
+ ptr = ( void * ) ( new_data + offset );
+ store_item ( ( char * ) ptr, type, int_val, uint_val, double_val );
+ }
+
+ return ( ( void * ) new_data );
+}
+
+
+/******************************************************************************
+Set the list of user-specified property combination rules.
+******************************************************************************/
+
+void set_prop_rules_ply( PlyFile *ply, PlyRuleList *prop_rules )
+{
+ ply->rule_list = prop_rules;
+}
+
+
+/******************************************************************************
+Append a property rule to a growing list of user-specified rules.
+
+Entry:
+rule_list - current rule list
+name - name of property combination rule
+property - "element.property" says which property the rule affects
+
+Exit:
+returns pointer to the new rule list
+******************************************************************************/
+
+PlyRuleList *append_prop_rule( PlyRuleList *rule_list, char *name, char *property )
+{
+ PlyRuleList *rule;
+ PlyRuleList *rule_ptr;
+ char *str,*str2;
+ char *ptr;
+
+ /* find . */
+ str = strdup ( property );
+ for ( ptr = str; *ptr != '\0' && *ptr != '.'; ptr++ )
+ ;
+
+ /* split string at . */
+ if ( *ptr == '.' )
+ {
+ *ptr = '\0';
+ str2 = ptr + 1;
+ }
+ else
+ {
+ fprintf ( stderr, "Can't find property '%s' for rule '%s'\n",
+ property, name );
+ return ( rule_list );
+ }
+
+ rule = ( PlyRuleList * ) malloc ( sizeof ( PlyRuleList ) );
+ rule->name = name;
+ rule->element = str;
+ rule->property = str2;
+ rule->next = NULL;
+
+ /* either start rule list or append to it */
+
+ if ( rule_list == NULL )
+ rule_list = rule;
+ else
+ {
+ /* append new rule to current list */
+ rule_ptr = rule_list;
+ while ( rule_ptr->next != NULL )
+ rule_ptr = rule_ptr->next;
+ rule_ptr->next = rule;
+ }
+
+ /* return pointer to list */
+
+ return ( rule_list );
+}
+
+
+/******************************************************************************
+See if a name matches the name of any property combination rules.
+
+Entry:
+name - name of rule we're trying to match
+
+Exit:
+returns 1 if we find a match, 0 if not
+******************************************************************************/
+
+int matches_rule_name( char *name )
+{
+ int i;
+
+ for ( i = 0; rule_name_list[i].code != -1; i++ )
+ if ( equal_strings ( rule_name_list[i].name, name ) )
+ return ( 1 );
+
+ return ( 0 );
+}
+
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.h b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.h
new file mode 100755
index 00000000000..1925d5e5843
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/MarchingCubes/ply.h
@@ -0,0 +1,233 @@
+/*
+
+Header for PLY polygon files.
+
+- Greg Turk
+
+A PLY file contains a single polygonal _object_.
+
+An object is composed of lists of _elements_. Typical elements are
+vertices, faces, edges and materials.
+
+Each type of element for a given object has one or more _properties_
+associated with the element type. For instance, a vertex element may
+have as properties three floating-point values x,y,z and three unsigned
+chars for red, green and blue.
+
+-----------------------------------------------------------------------
+
+Copyright (c) 1998 Georgia Institute of Technology. All rights reserved.
+
+Permission to use, copy, modify and distribute this software and its
+documentation for any purpose is hereby granted without fee, provided
+that the above copyright notice and this permission notice appear in
+all copies of this software and that you do not sell the software.
+
+THE SOFTWARE IS PROVIDED "AS IS" AND WITHOUT WARRANTY OF ANY KIND,
+EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
+WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+
+*/
+
+#ifndef __PLY_H__
+#define __PLY_H__
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include <stdio.h>
+#include <stddef.h>
+
+#define PLY_ASCII 1 /* ascii PLY file */
+#define PLY_BINARY_BE 2 /* binary PLY file, big endian */
+#define PLY_BINARY_LE 3 /* binary PLY file, little endian */
+
+#define PLY_OKAY 0 /* ply routine worked okay */
+#define PLY_ERROR -1 /* error in ply routine */
+
+/* scalar data types supported by PLY format */
+
+#define StartType 0
+#define Int8 1
+#define Int16 2
+#define Int32 3
+#define Uint8 4
+#define Uint16 5
+#define Uint32 6
+#define Float32 7
+#define Float64 8
+#define EndType 9
+
+#define PLY_SCALAR 0
+#define PLY_LIST 1
+#define PLY_STRING 2
+
+
+typedef struct PlyProperty { /* description of a property */
+
+char *name; /* property name */
+int external_type; /* file's data type */
+int internal_type; /* program's data type */
+int offset; /* offset bytes of prop in a struct */
+
+int is_list; /* 0 = scalar, 1 = list, 2 = char string */
+int count_external; /* file's count type */
+int count_internal; /* program's count type */
+int count_offset; /* offset byte for list count */
+
+} PlyProperty;
+
+typedef struct PlyElement { /* description of an element */
+char *name; /* element name */
+int num; /* number of elements in this object */
+int size; /* size of element (bytes) or -1 if variable */
+int nprops; /* number of properties for this element */
+PlyProperty **props; /* list of properties in the file */
+char *store_prop; /* flags: property wanted by user? */
+int other_offset; /* offset to un-asked-for props, or -1 if none*/
+int other_size; /* size of other_props structure */
+} PlyElement;
+
+typedef struct PlyOtherProp { /* describes other properties in an element */
+char *name; /* element name */
+int size; /* size of other_props */
+int nprops; /* number of properties in other_props */
+PlyProperty **props; /* list of properties in other_props */
+} PlyOtherProp;
+
+typedef struct OtherData { /* for storing other_props for an other element */
+void *other_props;
+} OtherData;
+
+typedef struct OtherElem { /* data for one "other" element */
+char *elem_name; /* names of other elements */
+int elem_count; /* count of instances of each element */
+OtherData **other_data; /* actual property data for the elements */
+PlyOtherProp *other_props; /* description of the property data */
+} OtherElem;
+
+typedef struct PlyOtherElems { /* "other" elements, not interpreted by user */
+int num_elems; /* number of other elements */
+OtherElem *other_list; /* list of data for other elements */
+} PlyOtherElems;
+
+#define AVERAGE_RULE 1
+#define MAJORITY_RULE 2
+#define MINIMUM_RULE 3
+#define MAXIMUM_RULE 4
+#define SAME_RULE 5
+#define RANDOM_RULE 6
+
+typedef struct PlyPropRules { /* rules for combining "other" properties */
+PlyElement *elem; /* element whose rules we are making */
+int *rule_list; /* types of rules (AVERAGE_PLY, MAJORITY_PLY, etc.) */
+int nprops; /* number of properties we're combining so far */
+int max_props; /* maximum number of properties we have room for now */
+void **props; /* list of properties we're combining */
+float *weights; /* list of weights of the properties */
+} PlyPropRules;
+
+typedef struct PlyRuleList {
+char *name; /* name of the rule */
+char *element; /* name of element that rule applies to */
+char *property; /* name of property that rule applies to */
+struct PlyRuleList *next; /* pointer for linked list of rules */
+} PlyRuleList;
+
+typedef struct PlyFile { /* description of PLY file */
+FILE *fp; /* file pointer */
+int file_type; /* ascii or binary */
+float version; /* version number of file */
+int num_elem_types; /* number of element types of object */
+PlyElement **elems; /* list of elements */
+int num_comments; /* number of comments */
+char **comments; /* list of comments */
+int num_obj_info; /* number of items of object information */
+char **obj_info; /* list of object info items */
+PlyElement *which_elem; /* element we're currently reading or writing */
+PlyOtherElems *other_elems; /* "other" elements from a PLY file */
+PlyPropRules *current_rules; /* current propagation rules */
+PlyRuleList *rule_list; /* rule list from user */
+} PlyFile;
+
+/* memory allocation */
+/*
+extern char *my_alloc();
+*/
+#define myalloc(mem_size) my_alloc((mem_size), __LINE__, __FILE__)
+
+
+/* old routines */
+
+#if 0
+extern PlyFile *ply_write(FILE *, int, char **, int);
+extern PlyFile *ply_read(FILE *, int *, char ***);
+extern PlyFile *ply_open_for_reading( char *, int *, char ***, int *, float *);
+extern void ply_close(PlyFile *);
+extern PlyOtherProp *ply_get_other_properties(PlyFile *, char *, int);
+#endif
+
+extern void ply_describe_property( PlyFile * , char * , PlyProperty * );
+extern void ply_get_property( PlyFile * , char * , PlyProperty * );
+extern void ply_get_element( PlyFile * , void * );
+
+
+/*** delcaration of routines ***/
+
+PlyOtherElems *get_other_element_ply( PlyFile * );
+
+PlyFile *read_ply( FILE * );
+PlyFile *write_ply( FILE * , int, char ** , int );
+extern PlyFile *open_for_writing_ply( char * , int, char ** , int );
+void close_ply( PlyFile * );
+void free_ply( PlyFile * );
+
+void get_info_ply( PlyFile * , float * , int * );
+void free_other_elements_ply( PlyOtherElems * );
+
+void append_comment_ply( PlyFile * , char * );
+void append_obj_info_ply( PlyFile * , char * );
+void copy_comments_ply( PlyFile * , PlyFile * );
+void copy_obj_info_ply( PlyFile * , PlyFile * );
+char* *get_comments_ply( PlyFile * , int * );
+char* *get_obj_info_ply( PlyFile * , int * );
+
+char* *get_element_list_ply( PlyFile * , int * );
+int setup_property_ply( PlyFile * , PlyProperty * );
+void get_element_ply( PlyFile * , void * );
+char *setup_element_read_ply( PlyFile * , int, int * );
+PlyOtherProp *get_other_properties_ply( PlyFile * , int );
+
+void element_count_ply( PlyFile * , char * , int );
+void describe_element_ply( PlyFile * , char * , int );
+void describe_property_ply( PlyFile * , PlyProperty * );
+void describe_other_properties_ply( PlyFile * , PlyOtherProp * , int );
+void describe_other_elements_ply( PlyFile * , PlyOtherElems * );
+void get_element_setup_ply( PlyFile * , char * , int, PlyProperty * );
+PlyProperty* *get_element_description_ply( PlyFile * , char * , int * , int * );
+void element_layout_ply( PlyFile * , char * , int, int, PlyProperty * );
+
+void header_complete_ply( PlyFile * );
+void put_element_setup_ply( PlyFile * , char * );
+void put_element_ply( PlyFile * , void * );
+void put_other_elements_ply( PlyFile * );
+
+PlyPropRules *init_rule_ply( PlyFile * , char * );
+void modify_rule_ply( PlyPropRules * , char * , int );
+void start_props_ply( PlyFile * , PlyPropRules * );
+void weight_props_ply( PlyFile * , float, void * );
+void *get_new_props_ply( PlyFile * );
+void set_prop_rules_ply( PlyFile * , PlyRuleList * );
+PlyRuleList *append_prop_rule( PlyRuleList * , char * , char * );
+int matches_rule_name( char * );
+
+int equal_strings( char * , char * );
+char *recreate_command_line( int, char *argv[] );
+
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* !__PLY_H__ */
+
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/cvMeshSurfaceSimplify.C b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/cvMeshSurfaceSimplify.C
new file mode 100644
index 00000000000..adc46f76237
--- /dev/null
+++ b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/cvMeshSurfaceSimplify.C
@@ -0,0 +1,350 @@
+/*---------------------------------------------------------------------------*\
+ ========= |
+ \\ / F ield | OpenFOAM: The Open Source CFD Toolbox
+ \\ / O peration |
+ \\ / A nd | Copyright (C) 2012 OpenFOAM Foundation
+ \\/ M anipulation |
+-------------------------------------------------------------------------------
+License
+ This file is part of OpenFOAM.
+
+ OpenFOAM is free software: you can redistribute it and/or modify it
+ under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+ ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+ FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+ for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
+
+Application
+ cvMeshSurfaceSimplify
+
+Description
+ Simplifies surfaces by resampling.
+
+ Uses Thomas Lewiner's topology preserving MarchingCubes.
+
+\*---------------------------------------------------------------------------*/
+
+#include "argList.H"
+#include "Time.H"
+#include "searchableSurfaces.H"
+#include "conformationSurfaces.H"
+#include "triSurfaceMesh.H"
+
+#include "MarchingCubes.h"
+
+
+using namespace Foam;
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+// Main program:
+
+int main(int argc, char *argv[])
+{
+ argList::addNote
+ (
+ "Re-sample surfaces used in cvMesh operation"
+ );
+ //argList::validArgs.append("inputFile");
+ argList::validArgs.append("(nx ny nz)");
+ argList::validArgs.append("outputName");
+
+ #include "setRootCase.H"
+ #include "createTime.H"
+ runTime.functionObjects().off();
+
+ const Vector<label> n(IStringStream(args.args()[1])());
+ const fileName exportName = args.args()[2];
+
+ Info<< "Reading surfaces as specified in the cvMeshDict and"
+ << " writing re-sampled " << n << " to " << exportName
+ << nl << endl;
+
+ cpuTime timer;
+
+ IOdictionary cvMeshDict
+ (
+ IOobject
+ (
+ "cvMeshDict",
+ runTime.system(),
+ runTime,
+ IOobject::MUST_READ_IF_MODIFIED,
+ IOobject::NO_WRITE
+ )
+ );
+
+ // Define/load all geometry
+ searchableSurfaces allGeometry
+ (
+ IOobject
+ (
+ "cvSearchableSurfaces",
+ runTime.constant(),
+ "triSurface",
+ runTime,
+ IOobject::MUST_READ,
+ IOobject::NO_WRITE
+ ),
+ cvMeshDict.subDict("geometry")
+ );
+
+ Info<< "Geometry read in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+
+ Random rndGen(64293*Pstream::myProcNo());
+
+ conformationSurfaces geometryToConformTo
+ (
+ runTime,
+ rndGen,
+ allGeometry,
+ cvMeshDict.subDict("surfaceConformation")
+ );
+
+ Info<< "Set up geometry in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+
+
+ // Extend
+ treeBoundBox bb = geometryToConformTo.globalBounds();
+ {
+ const vector smallVec = 0.1*bb.span();
+ bb.min() -= smallVec;
+ bb.max() += smallVec;
+ }
+
+ Info<< "Meshing to bounding box " << bb << nl << endl;
+
+ const vector span(bb.span());
+ const vector d
+ (
+ span.x()/(n.x()-1),
+ span.y()/(n.y()-1),
+ span.z()/(n.z()-1)
+ );
+
+ MarchingCubes mc(span.x(), span.y(), span.z() ) ;
+ mc.set_resolution(n.x(), n.y(), n.z());
+ mc.init_all() ;
+
+
+ // Generate points
+ pointField points(mc.size_x()*mc.size_y()*mc.size_z());
+ label pointI = 0;
+
+ point pt;
+ for( int k = 0 ; k < mc.size_z() ; k++ )
+ {
+ pt.z() = bb.min().z() + k*d.z();
+ for( int j = 0 ; j < mc.size_y() ; j++ )
+ {
+ pt.y() = bb.min().y() + j*d.y();
+ for( int i = 0 ; i < mc.size_x() ; i++ )
+ {
+ pt.x() = bb.min().x() + i*d.x();
+ points[pointI++] = pt;
+ }
+ }
+ }
+
+ Info<< "Generated " << points.size() << " sampling points in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+
+ // Compute data
+ const searchableSurfaces& geometry = geometryToConformTo.geometry();
+ const labelList& surfaces = geometryToConformTo.surfaces();
+
+ scalarField signedDist;
+ labelList nearestSurfaces;
+ searchableSurfacesQueries::signedDistance
+ (
+ geometry,
+ surfaces,
+ points,
+ scalarField(points.size(), sqr(GREAT)),
+ nearestSurfaces,
+ signedDist
+ );
+
+ // Fill elements
+ pointI = 0;
+ for( int k = 0 ; k < mc.size_z() ; k++ )
+ {
+ for( int j = 0 ; j < mc.size_y() ; j++ )
+ {
+ for( int i = 0 ; i < mc.size_x() ; i++ )
+ {
+ mc.set_data(float(signedDist[pointI++]), i, j, k);
+ }
+ }
+ }
+
+ Info<< "Determined signed distance in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+
+ mc.run() ;
+
+ Info<< "Constructed iso surface in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+
+ mc.clean_temps() ;
+
+
+
+ // Write output file
+ if (mc.ntrigs() > 0)
+ {
+ Triangle* triangles = mc.triangles();
+ List<labelledTri> tris(mc.ntrigs());
+ forAll(tris, triI)
+ {
+ tris[triI] = labelledTri
+ (
+ triangles[triI].v1,
+ triangles[triI].v2,
+ triangles[triI].v3,
+ 0 // region
+ );
+ }
+
+
+ Vertex* vertices = mc.vertices();
+ pointField points(mc.nverts());
+ forAll(points, pointI)
+ {
+ Vertex& v = vertices[pointI];
+ points[pointI] = point
+ (
+ bb.min().x() + v.x*span.x()/mc.size_x(),
+ bb.min().y() + v.y*span.y()/mc.size_y(),
+ bb.min().z() + v.z*span.z()/mc.size_z()
+ );
+ }
+
+
+ // Find correspondence to original surfaces
+ labelList regionOffsets(surfaces.size());
+ label nRegions = 0;
+ forAll(surfaces, i)
+ {
+ const wordList& regions = geometry[surfaces[i]].regions();
+ regionOffsets[i] = nRegions;
+ nRegions += regions.size();
+ }
+
+
+ geometricSurfacePatchList patches(nRegions);
+ nRegions = 0;
+ forAll(surfaces, i)
+ {
+ const wordList& regions = geometry[surfaces[i]].regions();
+
+ forAll(regions, regionI)
+ {
+ patches[nRegions] = geometricSurfacePatch
+ (
+ "patch",
+ geometry[surfaces[i]].name() + "_" + regions[regionI],
+ nRegions
+ );
+ nRegions++;
+ }
+ }
+
+ triSurface s(tris, patches, points, true);
+
+ Info<< "Extracted triSurface in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+
+ // Find out region on local surface of nearest point
+ {
+ List<pointIndexHit> hitInfo;
+ labelList hitSurfaces;
+ geometryToConformTo.findSurfaceNearest
+ (
+ s.faceCentres(),
+ scalarField(s.size(), sqr(GREAT)),
+ hitInfo,
+ hitSurfaces
+ );
+
+ // Get region
+ DynamicList<pointIndexHit> surfInfo(hitSurfaces.size());
+ DynamicList<label> surfIndices(hitSurfaces.size());
+
+ forAll(surfaces, surfI)
+ {
+ // Extract info on this surface
+ surfInfo.clear();
+ surfIndices.clear();
+ forAll(hitSurfaces, triI)
+ {
+ if (hitSurfaces[triI] == surfI)
+ {
+ surfInfo.append(hitInfo[triI]);
+ surfIndices.append(triI);
+ }
+ }
+
+ // Calculate sideness of these surface points
+ labelList region;
+ geometry[surfaces[surfI]].getRegion(surfInfo, region);
+
+ forAll(region, i)
+ {
+ label triI = surfIndices[i];
+ s[triI].region() = regionOffsets[surfI]+region[i];
+ }
+ }
+ }
+
+ Info<< "Re-patched surface in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+
+ triSurfaceMesh smesh
+ (
+ IOobject
+ (
+ exportName,
+ runTime.constant(), // instance
+ "triSurface",
+ runTime, // registry
+ IOobject::NO_READ,
+ IOobject::AUTO_WRITE,
+ false
+ ),
+ s
+ );
+
+ Info<< "writing surfMesh:\n "
+ << smesh.searchableSurface::objectPath() << nl << endl;
+ smesh.searchableSurface::write();
+
+ Info<< "Written surface in = "
+ << timer.cpuTimeIncrement() << " s." << nl << endl;
+ }
+
+ mc.clean_all() ;
+
+
+ Info<< "End\n" << endl;
+
+ return 0;
+}
+
+
+// ************************************************************************* //
diff --git a/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/marching_cubes_jgt.zip b/applications/utilities/mesh/generation/cvMesh/cvMeshSurfaceSimplify/marching_cubes_jgt.zip
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--
GitLab