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authorSergey Sharybin <sergey.vfx@gmail.com>2012-01-16 20:46:00 +0400
committerSergey Sharybin <sergey.vfx@gmail.com>2012-01-16 20:46:00 +0400
commite81f2853c8785b0a84ecebf7c4db433af434c5c8 (patch)
treef3145e592452e5d2cb2d162ec53813f0e552a2fe /extern
parentc150d0084f0e1cf86f063d993b31d02fc3e9c71f (diff)
Carve booleans library integration
================================== Merging Carve library integration project into the trunk. This commit switches Boolean modifier to another library which handles mesh boolean operations in much stable and faster way, resolving old well-known limitations of intern boolop library. Carve is integrating as alternative interface for boolop library and which makes it totally transparent for blender sources to switch between old-fashioned boolop and new Carve backends. Detailed changes in this commit: - Integrated needed subset of Carve library sources into extern/ Added script for re-bundling it (currently works only if repo was cloned by git-svn). - Added BOP_CarveInterface for boolop library which can be used by Boolean modifier. - Carve backend is enabled by default, can be disabled by WITH_BF_CARVE SCons option and WITH_CARVE CMake option. - If Boost library is found in build environment it'll be used for unordered collections. If Boost isn't found, it'll fallback to TR1 implementation for GCC compilers. Boost is obligatory if MSVC is used. Tested on Linux 64bit and Windows 7 64bit. NOTE: behavior of flat objects was changed. E.g. Plane-Sphere now gives plane with circle hole, not plane with semisphere. Don't think it's really issue because it's not actually defined behavior in such situations and both of ways might be useful. Since it's only known "regression" think it's OK to deal with it. Details are there http://wiki.blender.org/index.php/User:Nazg-gul/CarveBooleans Special thanks to: - Ken Hughes: author of original carve integration patch. - Campbell Barton: help in project development, review tests. - Tobias Sargeant: author of Carve library, help in resolving some merge stoppers, bug fixing.
Diffstat (limited to 'extern')
-rw-r--r--extern/CMakeLists.txt4
-rw-r--r--extern/SConscript3
-rw-r--r--extern/carve/CMakeLists.txt166
-rw-r--r--extern/carve/LICENSE.GPL2361
-rw-r--r--extern/carve/SConscript22
-rwxr-xr-xextern/carve/bundle.sh123
-rw-r--r--extern/carve/files.txt107
-rw-r--r--extern/carve/include/carve/aabb.hpp150
-rw-r--r--extern/carve/include/carve/aabb_impl.hpp423
-rw-r--r--extern/carve/include/carve/carve.hpp238
-rw-r--r--extern/carve/include/carve/cbrt.h93
-rw-r--r--extern/carve/include/carve/classification.hpp115
-rw-r--r--extern/carve/include/carve/collection.hpp51
-rw-r--r--extern/carve/include/carve/collection/unordered.hpp43
-rw-r--r--extern/carve/include/carve/collection/unordered/boost_impl.hpp45
-rw-r--r--extern/carve/include/carve/collection/unordered/fallback_impl.hpp40
-rw-r--r--extern/carve/include/carve/collection/unordered/libstdcpp_impl.hpp61
-rw-r--r--extern/carve/include/carve/collection/unordered/std_impl.hpp23
-rw-r--r--extern/carve/include/carve/collection/unordered/tr1_impl.hpp58
-rw-r--r--extern/carve/include/carve/collection/unordered/vcpp_impl.hpp65
-rw-r--r--extern/carve/include/carve/collection_types.hpp63
-rw-r--r--extern/carve/include/carve/colour.hpp47
-rw-r--r--extern/carve/include/carve/config.h12
-rw-r--r--extern/carve/include/carve/convex_hull.hpp52
-rw-r--r--extern/carve/include/carve/csg.hpp498
-rw-r--r--extern/carve/include/carve/csg_triangulator.hpp434
-rw-r--r--extern/carve/include/carve/debug_hooks.hpp97
-rw-r--r--extern/carve/include/carve/djset.hpp134
-rw-r--r--extern/carve/include/carve/edge_decl.hpp68
-rw-r--r--extern/carve/include/carve/edge_impl.hpp23
-rw-r--r--extern/carve/include/carve/exact.hpp702
-rw-r--r--extern/carve/include/carve/face_decl.hpp208
-rw-r--r--extern/carve/include/carve/face_impl.hpp140
-rw-r--r--extern/carve/include/carve/faceloop.hpp103
-rw-r--r--extern/carve/include/carve/geom.hpp363
-rw-r--r--extern/carve/include/carve/geom2d.hpp403
-rw-r--r--extern/carve/include/carve/geom3d.hpp310
-rw-r--r--extern/carve/include/carve/geom_impl.hpp651
-rw-r--r--extern/carve/include/carve/gnu_cxx.h4
-rw-r--r--extern/carve/include/carve/heap.hpp425
-rw-r--r--extern/carve/include/carve/input.hpp251
-rw-r--r--extern/carve/include/carve/interpolator.hpp332
-rw-r--r--extern/carve/include/carve/intersection.hpp267
-rw-r--r--extern/carve/include/carve/iobj.hpp106
-rw-r--r--extern/carve/include/carve/kd_node.hpp308
-rw-r--r--extern/carve/include/carve/math.hpp60
-rw-r--r--extern/carve/include/carve/math_constants.hpp33
-rw-r--r--extern/carve/include/carve/matrix.hpp262
-rw-r--r--extern/carve/include/carve/mesh.hpp845
-rw-r--r--extern/carve/include/carve/mesh_impl.hpp1015
-rw-r--r--extern/carve/include/carve/mesh_ops.hpp975
-rw-r--r--extern/carve/include/carve/mesh_simplify.hpp1574
-rw-r--r--extern/carve/include/carve/octree_decl.hpp193
-rw-r--r--extern/carve/include/carve/octree_impl.hpp79
-rw-r--r--extern/carve/include/carve/pointset.hpp24
-rw-r--r--extern/carve/include/carve/pointset_decl.hpp61
-rw-r--r--extern/carve/include/carve/pointset_impl.hpp36
-rw-r--r--extern/carve/include/carve/pointset_iter.hpp18
-rw-r--r--extern/carve/include/carve/poly.hpp24
-rw-r--r--extern/carve/include/carve/poly_decl.hpp25
-rw-r--r--extern/carve/include/carve/poly_impl.hpp25
-rw-r--r--extern/carve/include/carve/polyhedron_base.hpp149
-rw-r--r--extern/carve/include/carve/polyhedron_decl.hpp184
-rw-r--r--extern/carve/include/carve/polyhedron_impl.hpp287
-rw-r--r--extern/carve/include/carve/polyline.hpp24
-rw-r--r--extern/carve/include/carve/polyline_decl.hpp151
-rw-r--r--extern/carve/include/carve/polyline_impl.hpp160
-rw-r--r--extern/carve/include/carve/polyline_iter.hpp198
-rw-r--r--extern/carve/include/carve/rescale.hpp100
-rw-r--r--extern/carve/include/carve/rtree.hpp501
-rw-r--r--extern/carve/include/carve/spacetree.hpp264
-rw-r--r--extern/carve/include/carve/tag.hpp44
-rw-r--r--extern/carve/include/carve/timing.hpp96
-rw-r--r--extern/carve/include/carve/tree.hpp324
-rw-r--r--extern/carve/include/carve/triangulator.hpp175
-rw-r--r--extern/carve/include/carve/triangulator_impl.hpp851
-rw-r--r--extern/carve/include/carve/util.hpp31
-rw-r--r--extern/carve/include/carve/vcpp_config.h17
-rw-r--r--extern/carve/include/carve/vector.hpp163
-rw-r--r--extern/carve/include/carve/vertex_decl.hpp111
-rw-r--r--extern/carve/include/carve/vertex_impl.hpp24
-rwxr-xr-xextern/carve/include/carve/win32.h53
-rw-r--r--extern/carve/lib/aabb.cpp29
-rw-r--r--extern/carve/lib/carve.cpp29
-rw-r--r--extern/carve/lib/convex_hull.cpp100
-rw-r--r--extern/carve/lib/csg.cpp93
-rw-r--r--extern/carve/lib/csg_collector.cpp371
-rw-r--r--extern/carve/lib/csg_collector.hpp24
-rw-r--r--extern/carve/lib/csg_data.hpp52
-rw-r--r--extern/carve/lib/csg_detail.hpp71
-rw-r--r--extern/carve/lib/edge.cpp23
-rw-r--r--extern/carve/lib/face.cpp278
-rw-r--r--extern/carve/lib/geom2d.cpp260
-rw-r--r--extern/carve/lib/geom3d.cpp164
-rw-r--r--extern/carve/lib/intersect.cpp1668
-rw-r--r--extern/carve/lib/intersect_classify_common.hpp46
-rw-r--r--extern/carve/lib/intersect_classify_common_impl.hpp362
-rw-r--r--extern/carve/lib/intersect_classify_edge.cpp820
-rw-r--r--extern/carve/lib/intersect_classify_group.cpp220
-rw-r--r--extern/carve/lib/intersect_common.hpp83
-rw-r--r--extern/carve/lib/intersect_debug.cpp65
-rw-r--r--extern/carve/lib/intersect_debug.hpp29
-rw-r--r--extern/carve/lib/intersect_face_division.cpp1709
-rw-r--r--extern/carve/lib/intersect_group.cpp232
-rw-r--r--extern/carve/lib/intersect_half_classify_group.cpp199
-rw-r--r--extern/carve/lib/intersection.cpp92
-rw-r--r--extern/carve/lib/math.cpp347
-rw-r--r--extern/carve/lib/mesh.cpp1203
-rw-r--r--extern/carve/lib/octree.cpp399
-rw-r--r--extern/carve/lib/pointset.cpp59
-rw-r--r--extern/carve/lib/polyhedron.cpp1103
-rw-r--r--extern/carve/lib/polyline.cpp67
-rw-r--r--extern/carve/lib/tag.cpp24
-rw-r--r--extern/carve/lib/timing.cpp436
-rw-r--r--extern/carve/lib/triangulator.cpp1211
-rwxr-xr-xextern/carve/mkfiles.sh4
-rw-r--r--extern/carve/patches/files/config.h12
-rw-r--r--extern/carve/patches/files/random.hpp773
-rw-r--r--extern/carve/patches/includes.patch84
-rw-r--r--extern/carve/patches/mesh_iterator.patch21
-rw-r--r--extern/carve/patches/series4
-rw-r--r--extern/carve/patches/strict_flags.patch46
-rw-r--r--extern/carve/patches/win32.patch29
123 files changed, 30189 insertions, 0 deletions
diff --git a/extern/CMakeLists.txt b/extern/CMakeLists.txt
index 60253e08d4c..6215673eb44 100644
--- a/extern/CMakeLists.txt
+++ b/extern/CMakeLists.txt
@@ -67,3 +67,7 @@ endif()
if(WITH_LIBMV)
add_subdirectory(libmv)
endif()
+
+if(WITH_CARVE)
+ add_subdirectory(carve)
+endif()
diff --git a/extern/SConscript b/extern/SConscript
index 031471a8a01..738342b3dcc 100644
--- a/extern/SConscript
+++ b/extern/SConscript
@@ -31,3 +31,6 @@ if env['WITH_BF_LZMA']:
if env['WITH_BF_LIBMV']:
SConscript(['libmv/SConscript'])
+
+if env['WITH_BF_CARVE']:
+ SConscript(['carve/SConscript'])
diff --git a/extern/carve/CMakeLists.txt b/extern/carve/CMakeLists.txt
new file mode 100644
index 00000000000..abd35d33c1c
--- /dev/null
+++ b/extern/carve/CMakeLists.txt
@@ -0,0 +1,166 @@
+# ***** BEGIN GPL LICENSE BLOCK *****
+#
+# This program 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 2
+# of the License, or (at your option) any later version.
+#
+# This program 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 this program; if not, write to the Free Software Foundation,
+# Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+#
+# The Original Code is Copyright (C) 2006, Blender Foundation
+# All rights reserved.
+#
+# The Original Code is: all of this file.
+#
+# Contributor(s): Jacques Beaurai, Erwin Coumans
+#
+# ***** END GPL LICENSE BLOCK *****
+
+# NOTE: This file is automatically generated by bundle.sh script
+# If you're doing changes in this file, please update template
+# in that script too
+
+set(INC
+ include
+)
+
+set(INC_SYS
+)
+
+set(SRC
+ lib/carve.cpp
+ lib/mesh.cpp
+ lib/intersect_group.cpp
+ lib/intersect_classify_edge.cpp
+ lib/intersect_classify_group.cpp
+ lib/polyhedron.cpp
+ lib/geom3d.cpp
+ lib/polyline.cpp
+ lib/csg_collector.cpp
+ lib/triangulator.cpp
+ lib/intersect_face_division.cpp
+ lib/intersect_half_classify_group.cpp
+ lib/edge.cpp
+ lib/math.cpp
+ lib/geom2d.cpp
+ lib/tag.cpp
+ lib/intersection.cpp
+ lib/convex_hull.cpp
+ lib/csg.cpp
+ lib/intersect.cpp
+ lib/face.cpp
+ lib/pointset.cpp
+ lib/timing.cpp
+ lib/octree.cpp
+ lib/aabb.cpp
+ lib/intersect_debug.cpp
+
+ lib/intersect_classify_common.hpp
+ lib/csg_data.hpp
+ lib/csg_collector.hpp
+ lib/intersect_common.hpp
+ lib/intersect_classify_common_impl.hpp
+ lib/csg_detail.hpp
+ lib/intersect_debug.hpp
+
+ include/carve/polyhedron_decl.hpp
+ include/carve/geom2d.hpp
+ include/carve/exact.hpp
+ include/carve/triangulator_impl.hpp
+ include/carve/collection.hpp
+ include/carve/pointset.hpp
+ include/carve/djset.hpp
+ include/carve/kd_node.hpp
+ include/carve/polyline.hpp
+ include/carve/polyline_iter.hpp
+ include/carve/geom3d.hpp
+ include/carve/edge_decl.hpp
+ include/carve/face_decl.hpp
+ include/carve/aabb_impl.hpp
+ include/carve/colour.hpp
+ include/carve/pointset_iter.hpp
+ include/carve/polyline_decl.hpp
+ include/carve/rescale.hpp
+ include/carve/mesh_impl.hpp
+ include/carve/classification.hpp
+ include/carve/util.hpp
+ include/carve/triangulator.hpp
+ include/carve/polyhedron_base.hpp
+ include/carve/rtree.hpp
+ include/carve/math.hpp
+ include/carve/math_constants.hpp
+ include/carve/octree_decl.hpp
+ include/carve/input.hpp
+ include/carve/mesh_ops.hpp
+ include/carve/debug_hooks.hpp
+ include/carve/mesh_simplify.hpp
+ include/carve/interpolator.hpp
+ include/carve/poly_decl.hpp
+ include/carve/csg.hpp
+ include/carve/mesh.hpp
+ include/carve/carve.hpp
+ include/carve/gnu_cxx.h
+ include/carve/polyhedron_impl.hpp
+ include/carve/poly_impl.hpp
+ include/carve/aabb.hpp
+ include/carve/convex_hull.hpp
+ include/carve/vertex_decl.hpp
+ include/carve/win32.h
+ include/carve/edge_impl.hpp
+ include/carve/tag.hpp
+ include/carve/tree.hpp
+ include/carve/heap.hpp
+ include/carve/matrix.hpp
+ include/carve/poly.hpp
+ include/carve/vector.hpp
+ include/carve/intersection.hpp
+ include/carve/faceloop.hpp
+ include/carve/geom_impl.hpp
+ include/carve/octree_impl.hpp
+ include/carve/spacetree.hpp
+ include/carve/collection/unordered/std_impl.hpp
+ include/carve/collection/unordered/tr1_impl.hpp
+ include/carve/collection/unordered/libstdcpp_impl.hpp
+ include/carve/collection/unordered/boost_impl.hpp
+ include/carve/collection/unordered/vcpp_impl.hpp
+ include/carve/collection/unordered/fallback_impl.hpp
+ include/carve/collection/unordered.hpp
+ include/carve/face_impl.hpp
+ include/carve/pointset_impl.hpp
+ include/carve/cbrt.h
+ include/carve/vcpp_config.h
+ include/carve/geom.hpp
+ include/carve/vertex_impl.hpp
+ include/carve/polyline_impl.hpp
+ include/carve/pointset_decl.hpp
+ include/carve/timing.hpp
+ include/carve/csg_triangulator.hpp
+ include/carve/iobj.hpp
+ include/carve/collection_types.hpp
+)
+
+if(WITH_BOOST)
+ if(NOT MSVC)
+ # Boost is setting as preferred collections library in the Carve code when using MSVC compiler
+ add_definitions(
+ -DHAVE_BOOST_UNORDERED_COLLECTIONS
+ )
+ endif()
+
+ add_definitions(
+ -DCARVE_SYSTEM_BOOST
+ )
+
+ list(APPEND INC
+ ${BOOST_INCLUDE_DIR}
+ )
+endif()
+
+blender_add_lib(extern_carve "${SRC}" "${INC}" "${INC_SYS}")
diff --git a/extern/carve/LICENSE.GPL2 b/extern/carve/LICENSE.GPL2
new file mode 100644
index 00000000000..792acb92f6a
--- /dev/null
+++ b/extern/carve/LICENSE.GPL2
@@ -0,0 +1,361 @@
+ GNU GENERAL PUBLIC LICENSE
+
+ The Qt GUI Toolkit is Copyright (C) 1994-2008 Trolltech ASA.
+
+ You may use, distribute and copy the Qt GUI Toolkit under the terms of
+ GNU General Public License version 2, which is displayed below.
+
+-------------------------------------------------------------------------
+
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
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+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+ 4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+ 5. You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+ 6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions. You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+ 7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all. For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices. Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+ 8. If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded. In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+ 9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) <year> <name of author>
+
+ This program 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 2 of the License, or
+ (at your option) any later version.
+
+ This program 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 this program; if not, write to the Free Software
+ Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
+
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) year name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
+
+-------------------------------------------------------------------------
+
+In addition, as a special exception, Trolltech gives permission to link the
+code of its release of Qt with the OpenSSL project's "OpenSSL" library (or
+modified versions of it that use the same license as the "OpenSSL"
+library), and distribute the linked executables. You must comply with the GNU
+General Public License version 2 or the GNU General Public License version 3
+in all respects for all of the code used other than the "OpenSSL" code. If
+you modify this file, you may extend this exception to your version of the
+file, but you are not obligated to do so. If you do not wish to do so,
+delete this exception statement from your version of this file.
diff --git a/extern/carve/SConscript b/extern/carve/SConscript
new file mode 100644
index 00000000000..4a87b825186
--- /dev/null
+++ b/extern/carve/SConscript
@@ -0,0 +1,22 @@
+#!/usr/bin/python
+
+# NOTE: This file is automatically generated by bundle.sh script
+# If you're doing changes in this file, please update template
+# in that script too
+
+Import ('env')
+
+sources = env.Glob('lib/*.cpp')
+
+defs = []
+incs = ['include']
+
+if env['WITH_BF_BOOST']:
+ if env['OURPLATFORM'] not in ('win32-vc', 'win64-vc'):
+ # Boost is setting as preferred collections library in the Carve code when using MSVC compiler
+ defs.append('HAVE_BOOST_UNORDERED_COLLECTIONS')
+
+ defs.append('CARVE_SYSTEM_BOOST')
+ incs.append(env['BF_BOOST_INC'])
+
+env.BlenderLib ('extern_carve', Split(sources), incs, defs, libtype=['extern'], priority=[40] )
diff --git a/extern/carve/bundle.sh b/extern/carve/bundle.sh
new file mode 100755
index 00000000000..cbc1fe6d2d5
--- /dev/null
+++ b/extern/carve/bundle.sh
@@ -0,0 +1,123 @@
+#!/bin/sh
+
+if [ -d ./.svn ]; then
+ echo "This script is supposed to work only when using git-svn"
+ exit 1
+fi
+
+tmp=`mktemp -d`
+
+hg clone https://code.google.com/p/carve/ $tmp/carve
+
+for p in `cat ./patches/series`; do
+ echo "Applying patch $p..."
+ cat ./patches/$p | patch -d $tmp/carve -p1
+done
+
+rm -rf include
+rm -rf lib
+
+cat "files.txt" | while f=`line`; do
+ mkdir -p `dirname $f`
+ cp $tmp/carve/$f $f
+done
+
+rm -rf $tmp
+
+sources=`find ./lib -type f -iname '*.cc' -or -iname '*.cpp' -or -iname '*.c' | sed -r 's/^\.\//\t/'`
+headers=`find ./lib -type f -iname '*.h' -or -iname '*.hpp' | sed -r 's/^\.\//\t/'`
+includes=`find ./include -type f -iname '*.h' -or -iname '*.hpp' | sed -r 's/^\.\//\t/'`
+
+mkdir -p include/carve/external/boost
+cp patches/files/random.hpp include/carve/external/boost/random.hpp
+cp patches/files/config.h include/carve/config.h
+
+cat > CMakeLists.txt << EOF
+# ***** BEGIN GPL LICENSE BLOCK *****
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with this program; if not, write to the Free Software Foundation,
+# Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+#
+# The Original Code is Copyright (C) 2006, Blender Foundation
+# All rights reserved.
+#
+# The Original Code is: all of this file.
+#
+# Contributor(s): Jacques Beaurai, Erwin Coumans
+#
+# ***** END GPL LICENSE BLOCK *****
+
+# NOTE: This file is automatically generated by bundle.sh script
+# If you're doing changes in this file, please update template
+# in that script too
+
+set(INC
+ include
+)
+
+set(INC_SYS
+)
+
+set(SRC
+${sources}
+
+${headers}
+
+${includes}
+)
+
+if(WITH_BOOST)
+ if(NOT MSVC)
+ # Boost is setting as preferred collections library in the Carve code when using MSVC compiler
+ add_definitions(
+ -DHAVE_BOOST_UNORDERED_COLLECTIONS
+ )
+ endif()
+
+ add_definitions(
+ -DCARVE_SYSTEM_BOOST
+ )
+
+ list(APPEND INC
+ \${BOOST_INCLUDE_DIR}
+ )
+endif()
+
+blender_add_lib(extern_carve "\${SRC}" "\${INC}" "\${INC_SYS}")
+EOF
+
+cat > SConscript << EOF
+#!/usr/bin/python
+
+# NOTE: This file is automatically generated by bundle.sh script
+# If you're doing changes in this file, please update template
+# in that script too
+
+Import ('env')
+
+sources = env.Glob('lib/*.cpp')
+
+defs = []
+incs = ['include']
+
+if env['WITH_BF_BOOST']:
+ if env['OURPLATFORM'] not in ('win32-vc', 'win64-vc'):
+ # Boost is setting as preferred collections library in the Carve code when using MSVC compiler
+ defs.append('HAVE_BOOST_UNORDERED_COLLECTIONS')
+
+ defs.append('CARVE_SYSTEM_BOOST')
+ incs.append(env['BF_BOOST_INC'])
+
+env.BlenderLib ('extern_carve', Split(sources), incs, defs, libtype=['extern'], priority=[40] )
+EOF
diff --git a/extern/carve/files.txt b/extern/carve/files.txt
new file mode 100644
index 00000000000..c3cb9275950
--- /dev/null
+++ b/extern/carve/files.txt
@@ -0,0 +1,107 @@
+include/carve/polyhedron_decl.hpp
+include/carve/geom2d.hpp
+include/carve/exact.hpp
+include/carve/triangulator_impl.hpp
+include/carve/collection.hpp
+include/carve/pointset.hpp
+include/carve/djset.hpp
+include/carve/kd_node.hpp
+include/carve/polyline.hpp
+include/carve/polyline_iter.hpp
+include/carve/geom3d.hpp
+include/carve/edge_decl.hpp
+include/carve/face_decl.hpp
+include/carve/aabb_impl.hpp
+include/carve/colour.hpp
+include/carve/pointset_iter.hpp
+include/carve/polyline_decl.hpp
+include/carve/rescale.hpp
+include/carve/mesh_impl.hpp
+include/carve/classification.hpp
+include/carve/util.hpp
+include/carve/triangulator.hpp
+include/carve/polyhedron_base.hpp
+include/carve/rtree.hpp
+include/carve/math.hpp
+include/carve/math_constants.hpp
+include/carve/octree_decl.hpp
+include/carve/input.hpp
+include/carve/mesh_ops.hpp
+include/carve/debug_hooks.hpp
+include/carve/mesh_simplify.hpp
+include/carve/interpolator.hpp
+include/carve/poly_decl.hpp
+include/carve/csg.hpp
+include/carve/mesh.hpp
+include/carve/carve.hpp
+include/carve/gnu_cxx.h
+include/carve/polyhedron_impl.hpp
+include/carve/poly_impl.hpp
+include/carve/aabb.hpp
+include/carve/convex_hull.hpp
+include/carve/vertex_decl.hpp
+include/carve/win32.h
+include/carve/edge_impl.hpp
+include/carve/tag.hpp
+include/carve/tree.hpp
+include/carve/heap.hpp
+include/carve/matrix.hpp
+include/carve/poly.hpp
+include/carve/vector.hpp
+include/carve/intersection.hpp
+include/carve/faceloop.hpp
+include/carve/geom_impl.hpp
+include/carve/octree_impl.hpp
+include/carve/spacetree.hpp
+include/carve/collection/unordered/std_impl.hpp
+include/carve/collection/unordered/tr1_impl.hpp
+include/carve/collection/unordered/libstdcpp_impl.hpp
+include/carve/collection/unordered/boost_impl.hpp
+include/carve/collection/unordered/vcpp_impl.hpp
+include/carve/collection/unordered/fallback_impl.hpp
+include/carve/collection/unordered.hpp
+include/carve/face_impl.hpp
+include/carve/pointset_impl.hpp
+include/carve/cbrt.h
+include/carve/vcpp_config.h
+include/carve/geom.hpp
+include/carve/vertex_impl.hpp
+include/carve/polyline_impl.hpp
+include/carve/pointset_decl.hpp
+include/carve/timing.hpp
+include/carve/csg_triangulator.hpp
+include/carve/iobj.hpp
+include/carve/collection_types.hpp
+lib/carve.cpp
+lib/mesh.cpp
+lib/intersect_group.cpp
+lib/intersect_classify_common.hpp
+lib/intersect_classify_edge.cpp
+lib/intersect_classify_group.cpp
+lib/csg_data.hpp
+lib/polyhedron.cpp
+lib/csg_collector.hpp
+lib/geom3d.cpp
+lib/polyline.cpp
+lib/csg_collector.cpp
+lib/triangulator.cpp
+lib/intersect_face_division.cpp
+lib/intersect_half_classify_group.cpp
+lib/edge.cpp
+lib/math.cpp
+lib/geom2d.cpp
+lib/tag.cpp
+lib/intersection.cpp
+lib/convex_hull.cpp
+lib/intersect_common.hpp
+lib/intersect_classify_common_impl.hpp
+lib/csg.cpp
+lib/intersect.cpp
+lib/csg_detail.hpp
+lib/face.cpp
+lib/pointset.cpp
+lib/timing.cpp
+lib/octree.cpp
+lib/aabb.cpp
+lib/intersect_debug.hpp
+lib/intersect_debug.cpp
diff --git a/extern/carve/include/carve/aabb.hpp b/extern/carve/include/carve/aabb.hpp
new file mode 100644
index 00000000000..20ee028aa45
--- /dev/null
+++ b/extern/carve/include/carve/aabb.hpp
@@ -0,0 +1,150 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom.hpp>
+
+#include <vector>
+
+namespace carve {
+ namespace geom {
+
+
+
+ // n-dimensional AABB
+ template<unsigned ndim>
+ struct aabb {
+ typedef vector<ndim> vector_t;
+ typedef aabb<ndim> aabb_t;
+
+ vector_t pos; // the centre of the AABB
+ vector_t extent; // the extent of the AABB - the vector from the centre to the maximal vertex.
+
+ void empty();
+
+ bool isEmpty() const;
+
+ void fit(const vector_t &v1);
+ void fit(const vector_t &v1, const vector_t &v2);
+ void fit(const vector_t &v1, const vector_t &v2, const vector_t &v3);
+
+ template<typename iter_t, typename value_type>
+ void _fit(iter_t begin, iter_t end, value_type);
+
+ template<typename iter_t>
+ void _fit(iter_t begin, iter_t end, vector_t);
+
+ template<typename iter_t>
+ void _fit(iter_t begin, iter_t end, aabb_t);
+
+ template<typename iter_t>
+ void fit(iter_t begin, iter_t end);
+
+ template<typename iter_t, typename adapt_t>
+ void fit(iter_t begin, iter_t end, adapt_t adapt);
+
+ void unionAABB(const aabb<ndim> &a);
+
+ void expand(double pad);
+
+ bool completelyContains(const aabb<ndim> &other) const;
+
+ bool containsPoint(const vector_t &v) const;
+
+ bool intersectsLineSegment(const vector_t &v1, const vector_t &v2) const;
+
+ double axisSeparation(const aabb<ndim> &other, unsigned axis) const;
+
+ double maxAxisSeparation(const aabb<ndim> &other) const;
+
+ bool intersects(const aabb<ndim> &other) const;
+ bool intersects(const sphere<ndim> &s) const;
+ bool intersects(const plane<ndim> &plane) const;
+ bool intersects(const ray<ndim> &ray) const;
+ bool intersects(tri<ndim> tri) const;
+ bool intersects(const linesegment<ndim> &ls) const;
+
+ std::pair<double, double> rangeInDirection(const carve::geom::vector<ndim> &v) const;
+
+ vector_t min() const;
+ vector_t mid() const;
+ vector_t max() const;
+
+ double min(unsigned dim) const;
+ double mid(unsigned dim) const;
+ double max(unsigned dim) const;
+
+ double volume() const;
+
+ int compareAxis(const axis_pos &ap) const;
+
+ void constrainMax(const axis_pos &ap);
+ void constrainMin(const axis_pos &ap);
+
+ aabb getAABB() const;
+
+ aabb(const vector_t &_pos = vector_t::ZERO(),
+ const vector_t &_extent = vector_t::ZERO());
+
+ template<typename iter_t, typename adapt_t>
+ aabb(iter_t begin, iter_t end, adapt_t adapt);
+
+ template<typename iter_t>
+ aabb(iter_t begin, iter_t end);
+
+ aabb(const aabb<ndim> &a, const aabb<ndim> &b);
+ };
+
+ template<unsigned ndim>
+ bool operator==(const aabb<ndim> &a, const aabb<ndim> &b);
+
+ template<unsigned ndim>
+ bool operator!=(const aabb<ndim> &a, const aabb<ndim> &b);
+
+ template<unsigned ndim>
+ std::ostream &operator<<(std::ostream &o, const aabb<ndim> &a);
+
+
+
+ template<unsigned ndim, typename obj_t>
+ struct get_aabb {
+ aabb<ndim> operator()(const obj_t &obj) const {
+ return obj.getAABB();
+ }
+ };
+
+ template<unsigned ndim, typename obj_t>
+ struct get_aabb<ndim, obj_t *> {
+ aabb<ndim> operator()(const obj_t *obj) const {
+ return obj->getAABB();
+ }
+ };
+
+
+
+ }
+}
+
+namespace carve {
+ namespace geom3d {
+ typedef carve::geom::aabb<3> AABB;
+ }
+}
+
+#include <carve/aabb_impl.hpp>
diff --git a/extern/carve/include/carve/aabb_impl.hpp b/extern/carve/include/carve/aabb_impl.hpp
new file mode 100644
index 00000000000..ccdddef160b
--- /dev/null
+++ b/extern/carve/include/carve/aabb_impl.hpp
@@ -0,0 +1,423 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/vector.hpp>
+#include <carve/geom3d.hpp>
+
+#include <carve/geom.hpp>
+
+#include <vector>
+
+namespace carve {
+ namespace geom {
+
+ template<unsigned ndim>
+ void aabb<ndim>::empty() {
+ pos.setZero();
+ extent.setZero();
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::isEmpty() const {
+ return extent.exactlyZero();
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t, typename value_type>
+ void aabb<ndim>::_fit(iter_t begin, iter_t end, value_type) {
+ if (begin == end) {
+ empty();
+ return;
+ }
+
+ vector_t min, max;
+ aabb<ndim> a = get_aabb<ndim, value_type>()(*begin); ++begin;
+ min = a.min();
+ max = a.max();
+ while (begin != end) {
+ aabb<ndim> a = get_aabb<ndim, value_type>()(*begin); ++begin;
+ assign_op(min, min, a.min(), carve::util::min_functor());
+ assign_op(max, max, a.max(), carve::util::max_functor());
+ }
+
+ pos = (min + max) / 2.0;
+ assign_op(extent, max - pos, pos - min, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void aabb<ndim>::_fit(iter_t begin, iter_t end, vector_t) {
+ if (begin == end) {
+ empty();
+ return;
+ }
+
+ vector_t min, max;
+ bounds(begin, end, min, max);
+ pos = (min + max) / 2.0;
+ assign_op(extent, max - pos, pos - min, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void aabb<ndim>::_fit(iter_t begin, iter_t end, aabb_t) {
+ if (begin == end) {
+ empty();
+ return;
+ }
+
+ vector_t min, max;
+ aabb<ndim> a = *begin++;
+ min = a.min();
+ max = a.max();
+ while (begin != end) {
+ aabb<ndim> a = *begin; ++begin;
+ assign_op(min, min, a.min(), carve::util::min_functor());
+ assign_op(max, max, a.max(), carve::util::max_functor());
+ }
+
+ pos = (min + max) / 2.0;
+ assign_op(extent, max - pos, pos - min, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::fit(const vector_t &v1) {
+ pos = v1;
+ extent.setZero();
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::fit(const vector_t &v1, const vector_t &v2) {
+ vector_t min, max;
+ assign_op(min, v1, v2, carve::util::min_functor());
+ assign_op(max, v1, v2, carve::util::max_functor());
+
+ pos = (min + max) / 2.0;
+ assign_op(extent, max - pos, pos - min, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::fit(const vector_t &v1, const vector_t &v2, const vector_t &v3) {
+ vector_t min, max;
+ min = max = v1;
+
+ assign_op(min, min, v2, carve::util::min_functor());
+ assign_op(max, max, v2, carve::util::max_functor());
+ assign_op(min, min, v3, carve::util::min_functor());
+ assign_op(max, max, v3, carve::util::max_functor());
+
+ pos = (min + max) / 2.0;
+ assign_op(extent, max - pos, pos - min, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t, typename adapt_t>
+ void aabb<ndim>::fit(iter_t begin, iter_t end, adapt_t adapt) {
+ vector_t min, max;
+
+ bounds(begin, end, adapt, min, max);
+ pos = (min + max) / 2.0;
+ assign_op(extent, max - pos, pos - min, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void aabb<ndim>::fit(iter_t begin, iter_t end) {
+ _fit(begin, end, typename std::iterator_traits<iter_t>::value_type());
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::expand(double pad) {
+ extent += pad;
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::unionAABB(const aabb<ndim> &a) {
+ vector_t vmin, vmax;
+
+ assign_op(vmin, min(), a.min(), carve::util::min_functor());
+ assign_op(vmax, max(), a.max(), carve::util::max_functor());
+ pos = (vmin + vmax) / 2.0;
+ assign_op(extent, vmax - pos, pos - vmin, carve::util::max_functor());
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::completelyContains(const aabb<ndim> &other) const {
+ for (unsigned i = 0; i < ndim; ++i) {
+ if (fabs(other.pos.v[i] - pos.v[i]) + other.extent.v[i] > extent.v[i]) return false;
+ }
+ return true;
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::containsPoint(const vector_t &v) const {
+ for (unsigned i = 0; i < ndim; ++i) {
+ if (fabs(v.v[i] - pos.v[i]) > extent.v[i]) return false;
+ }
+ return true;
+ }
+
+ template<unsigned ndim>
+ double aabb<ndim>::axisSeparation(const aabb<ndim> &other, unsigned axis) const {
+ return fabs(other.pos.v[axis] - pos.v[axis]) - extent.v[axis] - other.extent.v[axis];
+ }
+
+ template<unsigned ndim>
+ double aabb<ndim>::maxAxisSeparation(const aabb<ndim> &other) const {
+ double m = axisSeparation(other, 0);
+ for (unsigned i = 1; i < ndim; ++i) {
+ m = std::max(m, axisSeparation(other, i));
+ }
+ return m;
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::intersects(const aabb<ndim> &other) const {
+ return maxAxisSeparation(other) <= 0.0;
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::intersects(const sphere<ndim> &s) const {
+ double r = 0.0;
+ for (unsigned i = 0; i < ndim; ++i) {
+ double t = fabs(s.C[i] - pos[i]) - extent[i]; if (t > 0.0) r += t*t;
+ }
+ return r <= s.r*s.r;
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::intersects(const plane<ndim> &plane) const {
+ double d1 = fabs(distance(plane, pos));
+ double d2 = dot(abs(plane.N), extent);
+ return d1 <= d2;
+ }
+
+ template<unsigned ndim>
+ bool aabb<ndim>::intersects(const linesegment<ndim> &ls) const {
+ return intersectsLineSegment(ls.v1, ls.v2);
+ }
+
+ template<unsigned ndim>
+ std::pair<double, double> aabb<ndim>::rangeInDirection(const carve::geom::vector<ndim> &v) const {
+ double d1 = dot(v, pos);
+ double d2 = dot(abs(v), extent);
+
+ return std::make_pair(d1 - d2, d1 + d2);
+ }
+
+ template<unsigned ndim>
+ typename aabb<ndim>::vector_t aabb<ndim>::min() const { return pos - extent; }
+
+ template<unsigned ndim>
+ typename aabb<ndim>::vector_t aabb<ndim>::mid() const { return pos; }
+
+ template<unsigned ndim>
+ typename aabb<ndim>::vector_t aabb<ndim>::max() const { return pos + extent; }
+
+ template<unsigned ndim>
+ double aabb<ndim>::min(unsigned dim) const { return pos.v[dim] - extent.v[dim]; }
+
+ template<unsigned ndim>
+ double aabb<ndim>::mid(unsigned dim) const { return pos.v[dim]; }
+
+ template<unsigned ndim>
+ double aabb<ndim>::max(unsigned dim) const { return pos.v[dim] + extent.v[dim]; }
+
+ template<unsigned ndim>
+ double aabb<ndim>::volume() const {
+ double v = 1.0;
+ for (size_t dim = 0; dim < ndim; ++dim) { v *= 2.0 * extent.v[dim]; }
+ return v;
+ }
+
+ template<unsigned ndim>
+ int aabb<ndim>::compareAxis(const axis_pos &ap) const {
+ double p = ap.pos - pos[ap.axis];
+ if (p > extent[ap.axis]) return -1;
+ if (p < -extent[ap.axis]) return +1;
+ return 0;
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::constrainMax(const axis_pos &ap) {
+ if (pos[ap.axis] + extent[ap.axis] > ap.pos) {
+ double min = std::min(ap.pos, pos[ap.axis] - extent[ap.axis]);
+ pos[ap.axis] = (min + ap.pos) / 2.0;
+ extent[ap.axis] = ap.pos - pos[ap.axis];
+ }
+ }
+
+ template<unsigned ndim>
+ void aabb<ndim>::constrainMin(const axis_pos &ap) {
+ if (pos[ap.axis] - extent[ap.axis] < ap.pos) {
+ double max = std::max(ap.pos, pos[ap.axis] + extent[ap.axis]);
+ pos[ap.axis] = (ap.pos + max) / 2.0;
+ extent[ap.axis] = pos[ap.axis] - ap.pos;
+ }
+ }
+
+ template<unsigned ndim>
+ aabb<ndim> aabb<ndim>::getAABB() const {
+ return *this;
+ }
+
+ template<unsigned ndim>
+ aabb<ndim>::aabb(const vector_t &_pos,
+ const vector_t &_extent) : pos(_pos), extent(_extent) {
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t, typename adapt_t>
+ aabb<ndim>::aabb(iter_t begin, iter_t end, adapt_t adapt) {
+ fit(begin, end, adapt);
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ aabb<ndim>::aabb(iter_t begin, iter_t end) {
+ fit(begin, end);
+ }
+
+ template<unsigned ndim>
+ aabb<ndim>::aabb(const aabb<ndim> &a, const aabb<ndim> &b) {
+ fit(a, b);
+ }
+
+ template<unsigned ndim>
+ bool operator==(const aabb<ndim> &a, const aabb<ndim> &b) {
+ return a.pos == b.pos && a.extent == b.extent;
+ }
+
+ template<unsigned ndim>
+ bool operator!=(const aabb<ndim> &a, const aabb<ndim> &b) {
+ return a.pos != b.pos || a.extent != b.extent;
+ }
+
+ template<unsigned ndim>
+ std::ostream &operator<<(std::ostream &o, const aabb<ndim> &a) {
+ o << (a.pos - a.extent) << "--" << (a.pos + a.extent);
+ return o;
+ }
+
+ template<>
+ inline bool aabb<3>::intersects(const ray<3> &ray) const {
+ vector<3> t = pos - ray.v;
+ double r;
+
+ //l.cross(x-axis)?
+ r = extent.y * fabs(ray.D.z) + extent.z * fabs(ray.D.y);
+ if (fabs(t.y * ray.D.z - t.z * ray.D.y) > r) return false;
+
+ //ray.D.cross(y-axis)?
+ r = extent.x * fabs(ray.D.z) + extent.z * fabs(ray.D.x);
+ if (fabs(t.z * ray.D.x - t.x * ray.D.z) > r) return false;
+
+ //ray.D.cross(z-axis)?
+ r = extent.x*fabs(ray.D.y) + extent.y*fabs(ray.D.x);
+ if (fabs(t.x * ray.D.y - t.y * ray.D.x) > r) return false;
+
+ return true;
+ }
+
+ template<>
+ inline bool aabb<3>::intersectsLineSegment(const vector<3> &v1, const vector<3> &v2) const {
+ vector<3> half_length = 0.5 * (v2 - v1);
+ vector<3> t = pos - half_length - v1;
+ double r;
+
+ //do any of the principal axes form a separating axis?
+ if(fabs(t.x) > extent.x + fabs(half_length.x)) return false;
+ if(fabs(t.y) > extent.y + fabs(half_length.y)) return false;
+ if(fabs(t.z) > extent.z + fabs(half_length.z)) return false;
+
+ // NOTE: Since the separating axis is perpendicular to the line in
+ // these last four cases, the line does not contribute to the
+ // projection.
+
+ //line.cross(x-axis)?
+ r = extent.y * fabs(half_length.z) + extent.z * fabs(half_length.y);
+ if (fabs(t.y * half_length.z - t.z * half_length.y) > r) return false;
+
+ //half_length.cross(y-axis)?
+ r = extent.x * fabs(half_length.z) + extent.z * fabs(half_length.x);
+ if (fabs(t.z * half_length.x - t.x * half_length.z) > r) return false;
+
+ //half_length.cross(z-axis)?
+ r = extent.x*fabs(half_length.y) + extent.y*fabs(half_length.x);
+ if (fabs(t.x * half_length.y - t.y * half_length.x) > r) return false;
+
+ return true;
+ }
+
+ template<int Ax, int Ay, int Az, int c>
+ static inline bool intersectsTriangle_axisTest_3(const aabb<3> &aabb, const tri<3> &tri) {
+ const int d = (c+1) % 3, e = (c+2) % 3;
+ const vector<3> a = cross(VECTOR(Ax, Ay, Az), tri.v[d] - tri.v[c]);
+ double p1 = dot(a, tri.v[c]), p2 = dot(a, tri.v[e]);
+ if (p1 > p2) std::swap(p1, p2);
+ const double r = dot(abs(a), aabb.extent);
+ return !(p1 > r || p2 < -r);
+ }
+
+ template<int c>
+ static inline bool intersectsTriangle_axisTest_2(const aabb<3> &aabb, const tri<3> &tri) {
+ double vmin = std::min(std::min(tri.v[0][c], tri.v[1][c]), tri.v[2][c]),
+ vmax = std::max(std::max(tri.v[0][c], tri.v[1][c]), tri.v[2][c]);
+ return !(vmin > aabb.extent[c] || vmax < -aabb.extent[c]);
+ }
+
+ static inline bool intersectsTriangle_axisTest_1(const aabb<3> &aabb, const tri<3> &tri) {
+ vector<3> n = cross(tri.v[1] - tri.v[0], tri.v[2] - tri.v[0]);
+ double d1 = fabs(dot(n, tri.v[0]));
+ double d2 = dot(abs(n), aabb.extent);
+ return d1 <= d2;
+ }
+
+ template<>
+ inline bool aabb<3>::intersects(tri<3> tri) const {
+ tri.v[0] -= pos;
+ tri.v[1] -= pos;
+ tri.v[2] -= pos;
+
+ if (!intersectsTriangle_axisTest_2<0>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_2<1>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_2<2>(*this, tri)) return false;
+
+ if (!intersectsTriangle_axisTest_3<1,0,0,0>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_3<1,0,0,1>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_3<1,0,0,2>(*this, tri)) return false;
+
+ if (!intersectsTriangle_axisTest_3<0,1,0,0>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_3<0,1,0,1>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_3<0,1,0,2>(*this, tri)) return false;
+
+ if (!intersectsTriangle_axisTest_3<0,0,1,0>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_3<0,0,1,1>(*this, tri)) return false;
+ if (!intersectsTriangle_axisTest_3<0,0,1,2>(*this, tri)) return false;
+
+ if (!intersectsTriangle_axisTest_1(*this, tri)) return false;
+
+ return true;
+ }
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/carve.hpp b/extern/carve/include/carve/carve.hpp
new file mode 100644
index 00000000000..90ca6b4977b
--- /dev/null
+++ b/extern/carve/include/carve/carve.hpp
@@ -0,0 +1,238 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#if defined(CMAKE_BUILD)
+# include <carve/config.h>
+#elif defined(XCODE_BUILD)
+# include <carve/xcode_config.h>
+#elif defined(_MSC_VER)
+# include <carve/vcpp_config.h>
+#else
+# include <carve/config.h>
+#endif
+
+#if defined(WIN32)
+# include <carve/win32.h>
+#elif defined(__GNUC__)
+# include <carve/gnu_cxx.h>
+#endif
+
+#if defined(CARVE_SYSTEM_BOOST)
+# define BOOST_INCLUDE(x) <boost/x>
+#else
+# define BOOST_INCLUDE(x) <carve/external/boost/x>
+#endif
+
+#include <math.h>
+
+#include <string>
+#include <set>
+#include <map>
+#include <vector>
+#include <list>
+#include <sstream>
+#include <iomanip>
+
+#include <carve/collection.hpp>
+
+#include <carve/util.hpp>
+
+#include <stdarg.h>
+
+#define STR(x) #x
+#define XSTR(x) STR(x)
+
+/**
+ * \brief Top level Carve namespace.
+ */
+namespace carve {
+ static struct noinit_t {} NOINIT;
+
+ inline std::string fmtstring(const char *fmt, ...);
+
+ /**
+ * \brief Base class for all Carve exceptions.
+ */
+ struct exception {
+ private:
+ mutable std::string err;
+ mutable std::ostringstream accum;
+
+ public:
+ exception(const std::string &e) : err(e), accum() { }
+ exception() : err(), accum() { }
+ exception(const exception &e) : err(e.str()), accum() { }
+ exception &operator=(const exception &e) {
+ if (this != &e) {
+ err = e.str();
+ accum.str("");
+ }
+ return *this;
+ }
+
+ const std::string &str() const {
+ if (accum.str().size() > 0) {
+ err += accum.str();
+ accum.str("");
+ }
+ return err;
+ }
+
+ template<typename T>
+ exception &operator<<(const T &t) {
+ accum << t;
+ return *this;
+ }
+ };
+
+ template<typename iter_t, typename order_t = std::less<typename std::iterator_traits<iter_t>::value_type > >
+ struct index_sort {
+ iter_t base;
+ order_t order;
+ index_sort(const iter_t &_base) : base(_base), order() { }
+ index_sort(const iter_t &_base, const order_t &_order) : base(_base), order(_order) { }
+ template<typename U>
+ bool operator()(const U &a, const U &b) {
+ return order(*(base + a), *(base + b));
+ }
+ };
+
+ template<typename iter_t, typename order_t>
+ index_sort<iter_t, order_t> make_index_sort(const iter_t &base, const order_t &order) {
+ return index_sort<iter_t, order_t>(base, order);
+ }
+
+ template<typename iter_t>
+ index_sort<iter_t> make_index_sort(const iter_t &base) {
+ return index_sort<iter_t>(base);
+ }
+
+
+ enum RayIntersectionClass {
+ RR_DEGENERATE = -2,
+ RR_PARALLEL = -1,
+ RR_NO_INTERSECTION = 0,
+ RR_INTERSECTION = 1
+ };
+
+ enum LineIntersectionClass {
+ COLINEAR = -1,
+ NO_INTERSECTION = 0,
+ INTERSECTION_LL = 1,
+ INTERSECTION_PL = 2,
+ INTERSECTION_LP = 3,
+ INTERSECTION_PP = 4
+ };
+
+ enum PointClass {
+ POINT_UNK = -2,
+ POINT_OUT = -1,
+ POINT_ON = 0,
+ POINT_IN = 1,
+ POINT_VERTEX = 2,
+ POINT_EDGE = 3
+ };
+
+ enum IntersectionClass {
+ INTERSECT_BAD = -1,
+ INTERSECT_NONE = 0,
+ INTERSECT_FACE = 1,
+ INTERSECT_VERTEX = 2,
+ INTERSECT_EDGE = 3,
+ INTERSECT_PLANE = 4,
+ };
+
+
+
+ extern double EPSILON;
+ extern double EPSILON2;
+
+ static inline void setEpsilon(double ep) { EPSILON = ep; EPSILON2 = ep * ep; }
+
+
+
+ template<typename T>
+ struct identity_t {
+ typedef T argument_type;
+ typedef T result_type;
+ const T &operator()(const T &t) const { return t; }
+ };
+
+
+
+ template<typename iter_t>
+ inline bool is_sorted(iter_t first, iter_t last) {
+ if (first == last) return true;
+
+ iter_t iter = first;
+ iter_t next = first; ++next;
+ for (; next != last; iter = next, ++next) {
+ if (*next < *iter) {
+ return false;
+ }
+ }
+ return true;
+ }
+
+
+
+ template<typename iter_t,
+ typename pred_t>
+ inline bool is_sorted(iter_t first, iter_t last, pred_t pred) {
+ if (first == last) return true;
+
+ iter_t iter = first;
+ iter_t next = first; ++next;
+ for (; next != last; iter = next, ++next) {
+ if (pred(*next, *iter)) {
+ return false;
+ }
+ }
+ return true;
+ }
+
+
+
+ inline double rangeSeparation(const std::pair<double, double> &a,
+ const std::pair<double, double> &b) {
+ if (a.second < b.first) {
+ return b.first - a.second;
+ } else if (b.second < a.first) {
+ return a.first - b.second;
+ } else {
+ return 0.0;
+ }
+ }
+}
+
+
+#if defined(_MSC_VER)
+# define MACRO_BEGIN do {
+# define MACRO_END __pragma(warning(push)) __pragma(warning(disable:4127)) } while(0) __pragma(warning(pop))
+#else
+# define MACRO_BEGIN do {
+# define MACRO_END } while(0)
+#endif
+
+#if !defined(CARVE_NODEBUG)
+# define CARVE_ASSERT(x) MACRO_BEGIN if (!(x)) throw carve::exception() << __FILE__ << ":" << __LINE__ << " " << #x; MACRO_END
+#else
+# define CARVE_ASSERT(X)
+#endif
+
+#define CARVE_FAIL(x) MACRO_BEGIN throw carve::exception() << __FILE__ << ":" << __LINE__ << " " << #x; MACRO_END
diff --git a/extern/carve/include/carve/cbrt.h b/extern/carve/include/carve/cbrt.h
new file mode 100644
index 00000000000..aeceab01426
--- /dev/null
+++ b/extern/carve/include/carve/cbrt.h
@@ -0,0 +1,93 @@
+// N.B. only appropriate for IEEE doubles.
+// Cube root implementation obtained from code with the following notice:
+
+/* @(#)s_cbrt.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* Sometimes it's necessary to define __LITTLE_ENDIAN explicitly
+ but these catch some common cases. */
+
+#if defined(i386) || defined(i486) || \
+ defined(intel) || defined(x86) || defined(i86pc) || \
+ defined(__alpha) || defined(__osf__)
+#define __LITTLE_ENDIAN
+#endif
+
+#ifdef __LITTLE_ENDIAN
+#define __HI(x) *(1+(int*)&x)
+#define __LO(x) *(int*)&x
+#define __HIp(x) *(1+(int*)x)
+#define __LOp(x) *(int*)x
+#else
+#define __HI(x) *(int*)&x
+#define __LO(x) *(1+(int*)&x)
+#define __HIp(x) *(int*)x
+#define __LOp(x) *(1+(int*)x)
+#endif
+
+/* cbrt(x)
+ * Return cube root of x
+ */
+
+inline double cbrt(double x) {
+
+ static const unsigned
+ B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */
+ B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */
+ static const double
+ C = 5.42857142857142815906e-01, /* 19/35 = 0x3FE15F15, 0xF15F15F1 */
+ D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */
+ E = 1.41428571428571436819e+00, /* 99/70 = 0x3FF6A0EA, 0x0EA0EA0F */
+ F = 1.60714285714285720630e+00, /* 45/28 = 0x3FF9B6DB, 0x6DB6DB6E */
+ G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */
+
+ int hx;
+ double r,s,t=0.0,w;
+ unsigned sign;
+
+ hx = __HI(x); /* high word of x */
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */
+ if((hx|__LO(x))==0)
+ return(x); /* cbrt(0) is itself */
+
+ __HI(x) = hx; /* x <- |x| */
+ /* rough cbrt to 5 bits */
+ if(hx<0x00100000) /* subnormal number */
+ {__HI(t)=0x43500000; /* set t= 2**54 */
+ t*=x; __HI(t)=__HI(t)/3+B2;
+ }
+ else
+ __HI(t)=hx/3+B1;
+
+
+ /* new cbrt to 23 bits, may be implemented in single precision */
+ r=t*t/x;
+ s=C+r*t;
+ t*=G+F/(s+E+D/s);
+
+ /* chopped to 20 bits and make it larger than cbrt(x) */
+ __LO(t)=0; __HI(t)+=0x00000001;
+
+ /* one step newton iteration to 53 bits with error less than 0.667 ulps */
+ s=t*t; /* t*t is exact */
+ r=x/s;
+ w=t+t;
+ r=(r-t)/(w+r); /* r-s is exact */
+ t=t+t*r;
+
+ /* retore the sign bit */
+ __HI(t) |= sign;
+ return(t);
+}
diff --git a/extern/carve/include/carve/classification.hpp b/extern/carve/include/carve/classification.hpp
new file mode 100644
index 00000000000..7df86db7823
--- /dev/null
+++ b/extern/carve/include/carve/classification.hpp
@@ -0,0 +1,115 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/collection_types.hpp>
+
+namespace carve {
+ namespace csg {
+
+ enum FaceClass {
+ FACE_UNCLASSIFIED = -3,
+ FACE_ON_ORIENT_OUT = -2,
+ FACE_OUT = -1,
+ FACE_ON = 0,
+ FACE_IN = +1,
+ FACE_ON_ORIENT_IN = +2
+ };
+
+ enum FaceClassBit {
+ FACE_ON_ORIENT_OUT_BIT = 0x01,
+ FACE_OUT_BIT = 0x02,
+ FACE_IN_BIT = 0x04,
+ FACE_ON_ORIENT_IN_BIT = 0x08,
+
+ FACE_ANY_BIT = 0x0f,
+ FACE_ON_BIT = 0x09,
+ FACE_NOT_ON_BIT = 0x06
+ };
+
+ static inline FaceClass class_bit_to_class(unsigned i) {
+ if (i & FACE_ON_ORIENT_OUT_BIT) return FACE_ON_ORIENT_OUT;
+ if (i & FACE_OUT_BIT) return FACE_OUT;
+ if (i & FACE_IN_BIT) return FACE_IN;
+ if (i & FACE_ON_ORIENT_IN_BIT) return FACE_ON_ORIENT_IN;
+ return FACE_UNCLASSIFIED;
+ }
+
+ static inline unsigned class_to_class_bit(FaceClass f) {
+ switch (f) {
+ case FACE_ON_ORIENT_OUT: return FACE_ON_ORIENT_OUT_BIT;
+ case FACE_OUT: return FACE_OUT_BIT;
+ case FACE_ON: return FACE_ON_BIT;
+ case FACE_IN: return FACE_IN_BIT;
+ case FACE_ON_ORIENT_IN: return FACE_ON_ORIENT_IN_BIT;
+ case FACE_UNCLASSIFIED: return FACE_ANY_BIT;
+ default: return 0;
+ }
+ }
+
+ enum EdgeClass {
+ EDGE_UNK = -2,
+ EDGE_OUT = -1,
+ EDGE_ON = 0,
+ EDGE_IN = 1
+ };
+
+
+
+ const char *ENUM(FaceClass f);
+ const char *ENUM(PointClass p);
+
+
+
+ struct ClassificationInfo {
+ const carve::mesh::Mesh<3> *intersected_mesh;
+ FaceClass classification;
+
+ ClassificationInfo() : intersected_mesh(NULL), classification(FACE_UNCLASSIFIED) { }
+ ClassificationInfo(const carve::mesh::Mesh<3> *_intersected_mesh,
+ FaceClass _classification) :
+ intersected_mesh(_intersected_mesh),
+ classification(_classification) {
+ }
+ bool intersectedMeshIsClosed() const {
+ return intersected_mesh->isClosed();
+ }
+ };
+
+
+
+ struct EC2 {
+ EdgeClass cls[2];
+ EC2() { cls[0] = cls[1] = EDGE_UNK; }
+ EC2(EdgeClass a, EdgeClass b) { cls[0] = a; cls[1] = b; }
+ };
+
+ struct PC2 {
+ PointClass cls[2];
+ PC2() { cls[0] = cls[1] = POINT_UNK; }
+ PC2(PointClass a, PointClass b) { cls[0] = a; cls[1] = b; }
+ };
+
+ typedef std::unordered_map<std::pair<const carve::mesh::MeshSet<3>::vertex_t *, const carve::mesh::MeshSet<3>::vertex_t *>,
+ EC2> EdgeClassification;
+
+ typedef std::unordered_map<const carve::mesh::Vertex<3> *, PC2> VertexClassification;
+
+ }
+}
diff --git a/extern/carve/include/carve/collection.hpp b/extern/carve/include/carve/collection.hpp
new file mode 100644
index 00000000000..ace63d174f6
--- /dev/null
+++ b/extern/carve/include/carve/collection.hpp
@@ -0,0 +1,51 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/collection/unordered.hpp>
+
+namespace carve {
+
+ template<typename set_t>
+ class set_insert_iterator : public std::iterator<std::output_iterator_tag, void, void, void, void> {
+
+ protected:
+ set_t *set;
+ public:
+
+ set_insert_iterator(set_t &s) : set(&s) {
+ }
+
+ set_insert_iterator &
+ operator=(typename set_t::const_reference value) {
+ set->insert(value);
+ return *this;
+ }
+
+ set_insert_iterator &operator*() { return *this; }
+ set_insert_iterator &operator++() { return *this; }
+ set_insert_iterator &operator++(int) { return *this; }
+ };
+
+ template<typename set_t>
+ inline set_insert_iterator<set_t>
+ set_inserter(set_t &s) {
+ return set_insert_iterator<set_t>(s);
+ }
+
+}
diff --git a/extern/carve/include/carve/collection/unordered.hpp b/extern/carve/include/carve/collection/unordered.hpp
new file mode 100644
index 00000000000..494a1ca4013
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered.hpp
@@ -0,0 +1,43 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#if defined(HAVE_STD_UNORDERED_COLLECTIONS)
+
+# include <carve/collection/unordered/std_impl.hpp>
+
+#elif defined(HAVE_TR1_UNORDERED_COLLECTIONS)
+
+# include <carve/collection/unordered/tr1_impl.hpp>
+
+#elif defined(HAVE_BOOST_UNORDERED_COLLECTIONS)
+
+# include <carve/collection/unordered/boost_impl.hpp>
+
+#elif defined(HAVE_LIBSTDCPP_UNORDERED_COLLECTIONS)
+
+# include <carve/collection/unordered/libstdcpp_impl.hpp>
+
+#elif defined(_MSC_VER) && _MSC_VER >= 1300
+
+# include <carve/collection/unordered/vcpp_impl.hpp>
+
+#else
+
+# include <carve/collection/unordered/fallback_impl.hpp>
+
+#endif
diff --git a/extern/carve/include/carve/collection/unordered/boost_impl.hpp b/extern/carve/include/carve/collection/unordered/boost_impl.hpp
new file mode 100644
index 00000000000..96b1407e9eb
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered/boost_impl.hpp
@@ -0,0 +1,45 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include BOOST_INCLUDE(unordered_set.hpp)
+#include BOOST_INCLUDE(unordered_map.hpp)
+
+#include <functional>
+
+namespace std {
+ template <typename Key, typename T, typename Hash = boost::hash<Key>,
+ typename Pred = std::equal_to<Key> >
+ class unordered_map : public boost::unordered_map<Key, T, Hash, Pred> {
+
+ public:
+ typedef T data_type;
+ };
+
+ template <typename Key, typename T, typename Hash = boost::hash<Key>,
+ typename Pred = std::equal_to<Key> >
+ class unordered_multimap : public boost::unordered_multimap<Key, T, Hash, Pred> {
+ };
+
+ template <typename Value, typename Hash = boost::hash<Value>,
+ typename Pred = std::equal_to<Value> >
+ class unordered_set : public boost::unordered_set<Value, Hash, Pred> {
+ };
+}
+
+#undef UNORDERED_COLLECTIONS_SUPPORT_RESIZE
diff --git a/extern/carve/include/carve/collection/unordered/fallback_impl.hpp b/extern/carve/include/carve/collection/unordered/fallback_impl.hpp
new file mode 100644
index 00000000000..70422b2a215
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered/fallback_impl.hpp
@@ -0,0 +1,40 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <set>
+#include <map>
+
+namespace std {
+
+ template<typename K, typename T, typename H = int>
+ class unordered_map : public std::map<K, T> {
+ typedef std::map<K, T> super;
+ public:
+ typedef T data_type;
+ };
+
+ template<typename K, typename H = int>
+ class unordered_set : public std::set<K> {
+ typedef std::set<K> super;
+ public:
+ };
+
+}
+
+#undef UNORDERED_COLLECTIONS_SUPPORT_RESIZE
diff --git a/extern/carve/include/carve/collection/unordered/libstdcpp_impl.hpp b/extern/carve/include/carve/collection/unordered/libstdcpp_impl.hpp
new file mode 100644
index 00000000000..e1ad430709d
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered/libstdcpp_impl.hpp
@@ -0,0 +1,61 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <ext/hash_map>
+#include <ext/hash_set>
+
+namespace __gnu_cxx {
+ template <typename T>
+ struct hash<T *> : public std::unary_function<T *, size_t> {
+ size_t operator()(T *v) const {
+ size_t x = (size_t)(v);
+ return x + (x>>3);
+ }
+ };
+
+ template <typename A, typename B>
+ struct hash<std::pair<A, B> > : public std::unary_function<std::pair<A, B>, size_t> {
+ size_t operator()(const std::pair<A, B> &v) const {
+ std::size_t seed = 0;
+
+ seed ^= hash<A>()(v.first);
+ seed ^= hash<B>()(v.second) + (seed<<6) + (seed>>2);
+
+ return seed;
+ }
+ };
+}
+
+namespace std {
+
+ template<typename K, typename V, typename H = __gnu_cxx::hash<K> >
+ class unordered_map : public __gnu_cxx::hash_map<K, V, H> {
+ typedef __gnu_cxx::hash_map<K, V, H> super;
+ public:
+ typedef typename super::mapped_type data_type;
+ };
+
+ template<typename K, typename H = __gnu_cxx::hash<K> >
+ class unordered_set : public __gnu_cxx::hash_set<K, H> {
+ typedef __gnu_cxx::hash_set<K, H> super;
+ public:
+ };
+
+}
+
+#define UNORDERED_COLLECTIONS_SUPPORT_RESIZE 1
diff --git a/extern/carve/include/carve/collection/unordered/std_impl.hpp b/extern/carve/include/carve/collection/unordered/std_impl.hpp
new file mode 100644
index 00000000000..68a3f122e86
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered/std_impl.hpp
@@ -0,0 +1,23 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <unordered_map>
+#include <unordered_set>
+
+#undef UNORDERED_COLLECTIONS_SUPPORT_RESIZE
diff --git a/extern/carve/include/carve/collection/unordered/tr1_impl.hpp b/extern/carve/include/carve/collection/unordered/tr1_impl.hpp
new file mode 100644
index 00000000000..2c7f39f6a74
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered/tr1_impl.hpp
@@ -0,0 +1,58 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <tr1/unordered_map>
+#include <tr1/unordered_set>
+#include <tr1/functional>
+
+namespace std {
+ namespace tr1 {
+ template <typename A, typename B>
+ struct hash<std::pair<A, B> > : public std::unary_function<std::pair<A, B>, size_t> {
+ size_t operator()(const std::pair<A, B> &v) const {
+ std::size_t seed = 0;
+
+ seed ^= hash<A>()(v.first);
+ seed ^= hash<B>()(v.second) + (seed<<6) + (seed>>2);
+
+ return seed;
+ }
+ };
+ }
+
+
+
+ template <typename Key, typename T,
+ typename Hash = tr1::hash<Key>,
+ typename Pred = std::equal_to<Key> >
+ class unordered_map : public std::tr1::unordered_map<Key, T, Hash, Pred> {
+ public:
+ typedef T data_type;
+ };
+
+ template <typename Value,
+ typename Hash = tr1::hash<Value>,
+ typename Pred = std::equal_to<Value> >
+ class unordered_set : public std::tr1::unordered_set<Value, Hash, Pred> {
+ public:
+ };
+
+}
+
+#undef UNORDERED_COLLECTIONS_SUPPORT_RESIZE
diff --git a/extern/carve/include/carve/collection/unordered/vcpp_impl.hpp b/extern/carve/include/carve/collection/unordered/vcpp_impl.hpp
new file mode 100644
index 00000000000..825edad1433
--- /dev/null
+++ b/extern/carve/include/carve/collection/unordered/vcpp_impl.hpp
@@ -0,0 +1,65 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <hash_map>
+#include <hash_set>
+
+namespace std {
+
+ namespace {
+
+ template<class Value, class Hash> class hash_traits {
+ Hash hash_value;
+ std::less<Value> comp;
+ public:
+ enum {
+ bucket_size = 4,
+ min_buckets = 8
+ };
+ // hash _Keyval to size_t value
+ size_t operator()(const Value& v) const {
+ return ((size_t)hash_value(v));
+ }
+ // test if _Keyval1 ordered before _Keyval2
+ bool operator()(const Value& v1, const Value& v2) const {
+ return (comp(v1, v2));
+ }
+ };
+
+ }
+
+ template <typename Key, typename T, typename Hash = stdext::hash_compare<Key, less<Key> >, typename Pred = std::equal_to<Key> >
+ class unordered_map
+ : public stdext::hash_map<Key, T, hash_traits<Key, Hash> > {
+ typedef stdext::hash_map<Key, T, hash_traits<Key, Hash> > super;
+ public:
+ unordered_map() : super() {}
+ };
+
+ template <typename Value, typename Hash = stdext::hash_compare<Key, less<Key> >, typename Pred = std::equal_to<Value> >
+ class unordered_set
+ : public stdext::hash_set<Value, hash_traits<Value, Hash> > {
+ typedef stdext::hash_set<Value, hash_traits<Value, Hash> > super;
+ public:
+ unordered_set() : super() {}
+ };
+
+}
+
+#undef UNORDERED_COLLECTIONS_SUPPORT_RESIZE
diff --git a/extern/carve/include/carve/collection_types.hpp b/extern/carve/include/carve/collection_types.hpp
new file mode 100644
index 00000000000..997d5811801
--- /dev/null
+++ b/extern/carve/include/carve/collection_types.hpp
@@ -0,0 +1,63 @@
+
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/mesh.hpp>
+
+namespace carve {
+ namespace csg {
+
+ typedef std::pair<
+ carve::mesh::MeshSet<3>::vertex_t *,
+ carve::mesh::MeshSet<3>::vertex_t *> V2;
+
+ typedef std::pair<
+ carve::mesh::MeshSet<3>::face_t *,
+ carve::mesh::MeshSet<3>::face_t *> F2;
+
+ static inline V2 ordered_edge(
+ carve::mesh::MeshSet<3>::vertex_t *a,
+ carve::mesh::MeshSet<3>::vertex_t *b) {
+ return V2(std::min(a, b), std::max(a, b));
+ }
+
+ static inline V2 flip(const V2 &v) {
+ return V2(v.second, v.first);
+ }
+
+ // include/carve/csg.hpp include/carve/faceloop.hpp
+ // lib/intersect.cpp lib/intersect_classify_common_impl.hpp
+ // lib/intersect_classify_edge.cpp
+ // lib/intersect_classify_group.cpp
+ // lib/intersect_classify_simple.cpp
+ // lib/intersect_face_division.cpp lib/intersect_group.cpp
+ // lib/intersect_half_classify_group.cpp
+ typedef std::unordered_set<V2> V2Set;
+
+ // include/carve/csg.hpp include/carve/polyhedron_decl.hpp
+ // lib/csg_collector.cpp lib/intersect.cpp
+ // lib/intersect_common.hpp lib/intersect_face_division.cpp
+ // lib/polyhedron.cpp
+ typedef std::unordered_map<
+ carve::mesh::MeshSet<3>::vertex_t *,
+ carve::mesh::MeshSet<3>::vertex_t *> VVMap;
+ }
+}
diff --git a/extern/carve/include/carve/colour.hpp b/extern/carve/include/carve/colour.hpp
new file mode 100644
index 00000000000..420f8f7e13b
--- /dev/null
+++ b/extern/carve/include/carve/colour.hpp
@@ -0,0 +1,47 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/geom.hpp>
+
+namespace carve {
+ namespace colour {
+ static inline void HSV2RGB(float H, float S, float V, float &r, float &g, float &b) {
+ H = 6.0f * H;
+ if (S < 5.0e-6) {
+ r = g = b = V; return;
+ } else {
+ int i = (int)H;
+ float f = H - i;
+ float p1 = V * (1.0f - S);
+ float p2 = V * (1.0f - S * f);
+ float p3 = V * (1.0f - S * (1.0f - f));
+ switch (i) {
+ case 0: r = V; g = p3; b = p1; return;
+ case 1: r = p2; g = V; b = p1; return;
+ case 2: r = p1; g = V; b = p3; return;
+ case 3: r = p1; g = p2; b = V; return;
+ case 4: r = p3; g = p1; b = V; return;
+ case 5: r = V; g = p1; b = p2; return;
+ }
+ }
+ r = g = b = 0.0;
+ }
+ }
+}
diff --git a/extern/carve/include/carve/config.h b/extern/carve/include/carve/config.h
new file mode 100644
index 00000000000..fdae2d2843f
--- /dev/null
+++ b/extern/carve/include/carve/config.h
@@ -0,0 +1,12 @@
+#define CARVE_VERSION "2.0.0a"
+
+#undef CARVE_DEBUG
+#undef CARVE_DEBUG_WRITE_PLY_DATA
+
+#if defined(__GNUC__)
+# if !defined(HAVE_BOOST_UNORDERED_COLLECTIONS)
+# define HAVE_TR1_UNORDERED_COLLECTIONS
+# endif
+
+# define HAVE_STDINT_H
+#endif
diff --git a/extern/carve/include/carve/convex_hull.hpp b/extern/carve/include/carve/convex_hull.hpp
new file mode 100644
index 00000000000..bcb7c97e20f
--- /dev/null
+++ b/extern/carve/include/carve/convex_hull.hpp
@@ -0,0 +1,52 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <list>
+#include <vector>
+#include <algorithm>
+
+#include <carve/carve.hpp>
+
+#include <carve/geom2d.hpp>
+
+namespace carve {
+ namespace geom {
+ std::vector<int> convexHull(const std::vector<carve::geom2d::P2> &points);
+
+ template<typename project_t, typename polygon_container_t>
+ std::vector<int> convexHull(const project_t &project, const polygon_container_t &points) {
+ std::vector<carve::geom2d::P2> proj;
+ proj.reserve(points.size());
+ for (typename polygon_container_t::const_iterator i = points.begin(); i != points.end(); ++i) {
+ proj.push_back(project(*i));
+ }
+ return convexHull(proj);
+ }
+
+ template<typename project_t, typename iter_t>
+ std::vector<int> convexHull(const project_t &project, iter_t beg, iter_t end, size_t size_hint = 0) {
+ std::vector<carve::geom2d::P2> proj;
+ if (size_hint) proj.reserve(size_hint);
+ for (; beg != end; ++beg) {
+ proj.push_back(project(*beg));
+ }
+ return convexHull(proj);
+ }
+ }
+}
diff --git a/extern/carve/include/carve/csg.hpp b/extern/carve/include/carve/csg.hpp
new file mode 100644
index 00000000000..db32273a33c
--- /dev/null
+++ b/extern/carve/include/carve/csg.hpp
@@ -0,0 +1,498 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <list>
+#include <vector>
+#include <algorithm>
+
+#include <carve/carve.hpp>
+
+#include <carve/geom3d.hpp>
+
+#include <carve/mesh.hpp>
+
+#include <carve/collection_types.hpp>
+#include <carve/classification.hpp>
+#include <carve/iobj.hpp>
+#include <carve/faceloop.hpp>
+#include <carve/intersection.hpp>
+#include <carve/rtree.hpp>
+
+namespace carve {
+ namespace csg {
+
+ class VertexPool {
+ typedef carve::mesh::MeshSet<3>::vertex_t vertex_t;
+
+ const static unsigned blocksize = 1024;
+ typedef std::list<std::vector<vertex_t> > pool_t;
+ pool_t pool;
+ public:
+ void reset();
+ vertex_t *get(const vertex_t::vector_t &v = vertex_t::vector_t::ZERO());
+ bool inPool(vertex_t *v) const;
+
+ VertexPool();
+ ~VertexPool();
+ };
+
+
+
+ namespace detail {
+ struct Data;
+ class LoopEdges;
+ }
+
+ /**
+ * \class CSG
+ * \brief The class responsible for the computation of CSG operations.
+ *
+ */
+ class CSG {
+ private:
+
+ public:
+ typedef carve::mesh::MeshSet<3> meshset_t;
+
+ struct Hook {
+ /**
+ * \class Hook
+ * \brief Provides API access to intermediate steps in CSG calculation.
+ *
+ */
+ virtual void intersectionVertex(const meshset_t::vertex_t * /* vertex */,
+ const IObjPairSet & /* intersections */) {
+ }
+ virtual void processOutputFace(std::vector<meshset_t::face_t *> & /* faces */,
+ const meshset_t::face_t * /* orig_face */,
+ bool /* flipped */) {
+ }
+ virtual void resultFace(const meshset_t::face_t * /* new_face */,
+ const meshset_t::face_t * /* orig_face */,
+ bool /* flipped */) {
+ }
+
+ virtual ~Hook() {
+ }
+ };
+
+ /**
+ * \class Hooks
+ * \brief Management of API hooks.
+ *
+ */
+ class Hooks {
+ public:
+ enum {
+ RESULT_FACE_HOOK = 0,
+ PROCESS_OUTPUT_FACE_HOOK = 1,
+ INTERSECTION_VERTEX_HOOK = 2,
+ HOOK_MAX = 3,
+
+ RESULT_FACE_BIT = 0x0001,
+ PROCESS_OUTPUT_FACE_BIT = 0x0002,
+ INTERSECTION_VERTEX_BIT = 0x0004
+ };
+
+ std::vector<std::list<Hook *> > hooks;
+
+ bool hasHook(unsigned hook_num);
+
+ void intersectionVertex(const meshset_t::vertex_t *vertex,
+ const IObjPairSet &intersections);
+
+ void processOutputFace(std::vector<meshset_t::face_t *> &faces,
+ const meshset_t::face_t *orig_face,
+ bool flipped);
+
+ void resultFace(const meshset_t::face_t *new_face,
+ const meshset_t::face_t *orig_face,
+ bool flipped);
+
+ void registerHook(Hook *hook, unsigned hook_bits);
+ void unregisterHook(Hook *hook);
+
+ void reset();
+
+ Hooks();
+ ~Hooks();
+ };
+
+ /**
+ * \class Collector
+ * \brief Base class for objects responsible for selecting result from which form the result polyhedron.
+ *
+ */
+ class Collector {
+ Collector(const Collector &);
+ Collector &operator=(const Collector &);
+
+ protected:
+
+ public:
+ virtual void collect(FaceLoopGroup *group, CSG::Hooks &) =0;
+ virtual meshset_t *done(CSG::Hooks &) =0;
+
+ Collector() {}
+ virtual ~Collector() {}
+ };
+
+ private:
+ typedef carve::geom::RTreeNode<3, carve::mesh::Face<3> *> face_rtree_t;
+ typedef std::unordered_map<carve::mesh::Face<3> *, std::vector<carve::mesh::Face<3> *> > face_pairs_t;
+
+ /// The computed intersection data.
+ Intersections intersections;
+
+ /// A map from intersection point to a set of intersections
+ /// represented by pairs of intersection objects.
+ VertexIntersections vertex_intersections;
+
+ /// A pool from which temporary vertices are allocated. Also
+ /// provides testing for pool membership.
+ VertexPool vertex_pool;
+
+ void init();
+
+ void makeVertexIntersections();
+
+ void groupIntersections();
+
+ void _generateVertexVertexIntersections(carve::mesh::MeshSet<3>::vertex_t *va,
+ carve::mesh::MeshSet<3>::edge_t *eb);
+ void generateVertexVertexIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b);
+
+ void _generateVertexEdgeIntersections(carve::mesh::MeshSet<3>::vertex_t *va,
+ carve::mesh::MeshSet<3>::edge_t *eb);
+ void generateVertexEdgeIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b);
+
+ void _generateEdgeEdgeIntersections(carve::mesh::MeshSet<3>::edge_t *ea,
+ carve::mesh::MeshSet<3>::edge_t *eb);
+ void generateEdgeEdgeIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b);
+
+ void _generateVertexFaceIntersections(carve::mesh::MeshSet<3>::face_t *fa,
+ carve::mesh::MeshSet<3>::edge_t *eb);
+ void generateVertexFaceIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b);
+
+ void _generateEdgeFaceIntersections(carve::mesh::MeshSet<3>::face_t *fa,
+ carve::mesh::MeshSet<3>::edge_t *eb);
+ void generateEdgeFaceIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b);
+
+ void generateIntersectionCandidates(carve::mesh::MeshSet<3> *a,
+ const face_rtree_t *a_node,
+ carve::mesh::MeshSet<3> *b,
+ const face_rtree_t *b_node,
+ face_pairs_t &face_pairs,
+ bool descend_a = true);
+ /**
+ * \brief Compute all points of intersection between poly \a a and poly \a b
+ *
+ * @param a Polyhedron a.
+ * @param b Polyhedron b.
+ */
+ void generateIntersections(meshset_t *a,
+ const face_rtree_t *a_node,
+ meshset_t *b,
+ const face_rtree_t *b_node,
+ detail::Data &data);
+
+ /**
+ * \brief Generate tables of intersecting pairs of faces.
+ *
+ * @param[out] data Internal data-structure holding intersection info.
+ */
+ void intersectingFacePairs(detail::Data &data);
+
+ /**
+ * \brief Divide edges in \a edges that are intersected by polyhedron \a poly
+ *
+ * @param edges The edges to divide.
+ * @param[in] poly The polyhedron to divide against.
+ * @param[in,out] data Intersection information.
+ */
+ void divideEdges(
+ const std::vector<meshset_t::edge_t> &edges,
+ meshset_t *poly,
+ detail::Data &data);
+
+ void divideIntersectedEdges(detail::Data &data);
+
+ /**
+ * \brief From the intersection points of pairs of intersecting faces, compute intersection edges.
+ *
+ * @param[out] eclass Classification information about created edges.
+ * @param[in,out] data Intersection information.
+ */
+ void makeFaceEdges(
+ EdgeClassification &eclass,
+ detail::Data &data);
+
+ friend void classifyEasyFaces(
+ FaceLoopList &face_loops,
+ VertexClassification &vclass,
+ meshset_t *other_poly,
+ int other_poly_num,
+ CSG &csg,
+ CSG::Collector &collector);
+
+ size_t generateFaceLoops(
+ meshset_t *poly,
+ const detail::Data &data,
+ FaceLoopList &face_loops_out);
+
+
+
+ // intersect_group.cpp
+
+ /**
+ * \brief Build a loop edge mapping from a list of face loops.
+ *
+ * @param[in] loops A list of face loops.
+ * @param[in] edge_count A hint as to the number of edges in \a loops.
+ * @param[out] edge_map The calculated map of edges to loops.
+ */
+ void makeEdgeMap(
+ const FaceLoopList &loops,
+ size_t edge_count,
+ detail::LoopEdges &edge_map);
+
+ /**
+ * \brief Divide a list of face loops into groups that are connected by at least one edge not present in \a no_cross.
+ *
+ * @param[in] src The source mesh from which these loops derive.
+ * @param[in,out] face_loops The list of loops (will be emptied as a side effect)
+ * @param[in] loop_edges A loop edge map used for traversing connected loops.
+ * @param[in] no_cross A set of edges not to cross.
+ * @param[out] out_loops A list of grouped face loops.
+ */
+ void groupFaceLoops(
+ carve::mesh::MeshSet<3> *src,
+ FaceLoopList &face_loops,
+ const detail::LoopEdges &loop_edges,
+ const V2Set &no_cross,
+ FLGroupList &out_loops);
+
+ /**
+ * \brief Find the set of edges shared between two edge maps.
+ *
+ * @param[in] edge_map_a The first edge map.
+ * @param[in] edge_map_b The second edge map.
+ * @param[out] shared_edges The resulting set of common edges.
+ */
+ void findSharedEdges(
+ const detail::LoopEdges &edge_map_a,
+ const detail::LoopEdges &edge_map_b,
+ V2Set &shared_edges);
+
+
+ // intersect_classify_edge.cpp
+
+ /**
+ *
+ *
+ * @param shared_edges
+ * @param vclass
+ * @param poly_a
+ * @param a_loops_grouped
+ * @param a_edge_map
+ * @param poly_b
+ * @param b_loops_grouped
+ * @param b_edge_map
+ * @param collector
+ */
+ void classifyFaceGroupsEdge(
+ const V2Set &shared_edges,
+ VertexClassification &vclass,
+ meshset_t *poly_a,
+ const face_rtree_t *poly_a_rtree,
+ FLGroupList &a_loops_grouped,
+ const detail::LoopEdges &a_edge_map,
+ meshset_t *poly_b,
+ const face_rtree_t *poly_b_rtree,
+ FLGroupList &b_loops_grouped,
+ const detail::LoopEdges &b_edge_map,
+ CSG::Collector &collector);
+
+ // intersect_classify_group.cpp
+
+ /**
+ *
+ *
+ * @param shared_edges
+ * @param vclass
+ * @param poly_a
+ * @param a_loops_grouped
+ * @param a_edge_map
+ * @param poly_b
+ * @param b_loops_grouped
+ * @param b_edge_map
+ * @param collector
+ */
+ void classifyFaceGroups(
+ const V2Set &shared_edges,
+ VertexClassification &vclass,
+ meshset_t *poly_a,
+ const face_rtree_t *poly_a_rtree,
+ FLGroupList &a_loops_grouped,
+ const detail::LoopEdges &a_edge_map,
+ meshset_t *poly_b,
+ const face_rtree_t *poly_b_rtree,
+ FLGroupList &b_loops_grouped,
+ const detail::LoopEdges &b_edge_map,
+ CSG::Collector &collector);
+
+ // intersect_half_classify_group.cpp
+
+ /**
+ *
+ *
+ * @param shared_edges
+ * @param vclass
+ * @param poly_a
+ * @param a_loops_grouped
+ * @param a_edge_map
+ * @param poly_b
+ * @param b_loops_grouped
+ * @param b_edge_map
+ * @param FaceClass
+ * @param b_out
+ */
+ void halfClassifyFaceGroups(
+ const V2Set &shared_edges,
+ VertexClassification &vclass,
+ meshset_t *poly_a,
+ const face_rtree_t *poly_a_rtree,
+ FLGroupList &a_loops_grouped,
+ const detail::LoopEdges &a_edge_map,
+ meshset_t *poly_b,
+ const face_rtree_t *poly_b_rtree,
+ FLGroupList &b_loops_grouped,
+ const detail::LoopEdges &b_edge_map,
+ std::list<std::pair<FaceClass, meshset_t *> > &b_out);
+
+ // intersect.cpp
+
+ /**
+ * \brief The main calculation method for CSG.
+ *
+ * @param[in] a Polyhedron a
+ * @param[in] b Polyhedron b
+ * @param[out] vclass
+ * @param[out] eclass
+ * @param[out] a_face_loops
+ * @param[out] b_face_loops
+ * @param[out] a_edge_count
+ * @param[out] b_edge_count
+ */
+ void calc(
+ meshset_t *a,
+ const face_rtree_t *a_rtree,
+ meshset_t *b,
+ const face_rtree_t *b_rtree,
+ VertexClassification &vclass,
+ EdgeClassification &eclass,
+ FaceLoopList &a_face_loops,
+ FaceLoopList &b_face_loops,
+ size_t &a_edge_count,
+ size_t &b_edge_count);
+
+ public:
+ /**
+ * \enum OP
+ * \brief Enumeration of the supported CSG operations.
+ */
+ enum OP {
+ UNION, /**< in a or b. */
+ INTERSECTION, /**< in a and b. */
+ A_MINUS_B, /**< in a, but not b. */
+ B_MINUS_A, /**< in b, but not a. */
+ SYMMETRIC_DIFFERENCE, /**< in a or b, but not both. */
+ ALL /**< all split faces from a and b */
+ };
+
+ /**
+ * \enum CLASSIFY_TYPE
+ * \brief The type of classification algorithm to use.
+ */
+ enum CLASSIFY_TYPE {
+ CLASSIFY_NORMAL, /**< Normal (group) classifier. */
+ CLASSIFY_EDGE /**< Edge classifier. */
+ };
+
+ CSG::Hooks hooks; /**< The manager for calculation hooks. */
+
+ CSG();
+ ~CSG();
+
+ /**
+ * \brief Compute a CSG operation between two polyhedra, \a a and \a b.
+ *
+ * @param a Polyhedron a
+ * @param b Polyhedron b
+ * @param collector The collector (determines the CSG operation performed)
+ * @param shared_edges A pointer to a set that will be populated with shared edges (if not NULL).
+ * @param classify_type The type of classifier to use.
+ *
+ * @return
+ */
+ meshset_t *compute(
+ meshset_t *a,
+ meshset_t *b,
+ CSG::Collector &collector,
+ V2Set *shared_edges = NULL,
+ CLASSIFY_TYPE classify_type = CLASSIFY_NORMAL);
+
+ /**
+ * \brief Compute a CSG operation between two closed polyhedra, \a a and \a b.
+ *
+ * @param a Polyhedron a
+ * @param b Polyhedron b
+ * @param op The CSG operation (A collector is created automatically).
+ * @param shared_edges A pointer to a set that will be populated with shared edges (if not NULL).
+ * @param classify_type The type of classifier to use.
+ *
+ * @return
+ */
+ meshset_t *compute(
+ meshset_t *a,
+ meshset_t *b,
+ OP op,
+ V2Set *shared_edges = NULL,
+ CLASSIFY_TYPE classify_type = CLASSIFY_NORMAL);
+
+ void slice(
+ meshset_t *a,
+ meshset_t *b,
+ std::list<meshset_t *> &a_sliced,
+ std::list<meshset_t *> &b_sliced,
+ V2Set *shared_edges = NULL);
+
+ bool sliceAndClassify(
+ meshset_t *closed,
+ meshset_t *open,
+ std::list<std::pair<FaceClass, meshset_t *> > &result,
+ V2Set *shared_edges = NULL);
+ };
+ }
+}
diff --git a/extern/carve/include/carve/csg_triangulator.hpp b/extern/carve/include/carve/csg_triangulator.hpp
new file mode 100644
index 00000000000..740585571bf
--- /dev/null
+++ b/extern/carve/include/carve/csg_triangulator.hpp
@@ -0,0 +1,434 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#include <carve/csg.hpp>
+#include <carve/tag.hpp>
+#include <carve/poly.hpp>
+#include <carve/triangulator.hpp>
+#include <deque>
+
+namespace carve {
+ namespace csg {
+
+ namespace detail {
+ template<bool with_improvement>
+ class CarveTriangulator : public csg::CSG::Hook {
+
+ public:
+ CarveTriangulator() {
+ }
+
+ virtual ~CarveTriangulator() {
+ }
+
+ virtual void processOutputFace(std::vector<carve::mesh::MeshSet<3>::face_t *> &faces,
+ const carve::mesh::MeshSet<3>::face_t *orig,
+ bool flipped) {
+ std::vector<carve::mesh::MeshSet<3>::face_t *> out_faces;
+
+ size_t n_tris = 0;
+ for (size_t f = 0; f < faces.size(); ++f) {
+ CARVE_ASSERT(faces[f]->nVertices() >= 3);
+ n_tris += faces[f]->nVertices() - 2;
+ }
+
+ out_faces.reserve(n_tris);
+
+ for (size_t f = 0; f < faces.size(); ++f) {
+ carve::mesh::MeshSet<3>::face_t *face = faces[f];
+
+ if (face->nVertices() == 3) {
+ out_faces.push_back(face);
+ continue;
+ }
+
+ std::vector<triangulate::tri_idx> result;
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> vloop;
+ face->getVertices(vloop);
+
+ triangulate::triangulate(
+ carve::mesh::MeshSet<3>::face_t::projection_mapping(face->project),
+ vloop,
+ result);
+
+ if (with_improvement) {
+ triangulate::improve(
+ carve::mesh::MeshSet<3>::face_t::projection_mapping(face->project),
+ vloop,
+ carve::mesh::vertex_distance(),
+ result);
+ }
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> fv;
+ fv.resize(3);
+ for (size_t i = 0; i < result.size(); ++i) {
+ fv[0] = vloop[result[i].a];
+ fv[1] = vloop[result[i].b];
+ fv[2] = vloop[result[i].c];
+ out_faces.push_back(face->create(fv.begin(), fv.end(), false));
+ }
+ delete face;
+ }
+ std::swap(faces, out_faces);
+ }
+ };
+ }
+
+ typedef detail::CarveTriangulator<false> CarveTriangulator;
+ typedef detail::CarveTriangulator<true> CarveTriangulatorWithImprovement;
+
+ class CarveTriangulationImprover : public csg::CSG::Hook {
+ public:
+ CarveTriangulationImprover() {
+ }
+
+ virtual ~CarveTriangulationImprover() {
+ }
+
+ virtual void processOutputFace(std::vector<carve::mesh::MeshSet<3>::face_t *> &faces,
+ const carve::mesh::MeshSet<3>::face_t *orig,
+ bool flipped) {
+ if (faces.size() == 1) return;
+
+ // doing improvement as a separate hook is much messier than
+ // just incorporating it into the triangulation hook.
+
+ typedef std::map<carve::mesh::MeshSet<3>::vertex_t *, size_t> vert_map_t;
+ std::vector<carve::mesh::MeshSet<3>::face_t *> out_faces;
+ vert_map_t vert_map;
+
+ out_faces.reserve(faces.size());
+
+
+ carve::mesh::MeshSet<3>::face_t::projection_mapping projector(faces[0]->project);
+
+ std::vector<triangulate::tri_idx> result;
+
+ for (size_t f = 0; f < faces.size(); ++f) {
+ carve::mesh::MeshSet<3>::face_t *face = faces[f];
+ if (face->nVertices() != 3) {
+ out_faces.push_back(face);
+ } else {
+ triangulate::tri_idx tri;
+ for (carve::mesh::MeshSet<3>::face_t::edge_iter_t i = face->begin(); i != face->end(); ++i) {
+ size_t v = 0;
+ vert_map_t::iterator j = vert_map.find(i->vert);
+ if (j == vert_map.end()) {
+ v = vert_map.size();
+ vert_map[i->vert] = v;
+ } else {
+ v = (*j).second;
+ }
+ tri.v[i.idx()] = v;
+ }
+ result.push_back(tri);
+ delete face;
+ }
+ }
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> verts;
+ verts.resize(vert_map.size());
+ for (vert_map_t::iterator i = vert_map.begin(); i != vert_map.end(); ++i) {
+ verts[(*i).second] = (*i).first;
+ }
+
+ triangulate::improve(projector, verts, carve::mesh::vertex_distance(), result);
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> fv;
+ fv.resize(3);
+ for (size_t i = 0; i < result.size(); ++i) {
+ fv[0] = verts[result[i].a];
+ fv[1] = verts[result[i].b];
+ fv[2] = verts[result[i].c];
+ out_faces.push_back(orig->create(fv.begin(), fv.end(), false));
+ }
+
+ std::swap(faces, out_faces);
+ }
+ };
+
+ class CarveTriangulationQuadMerger : public csg::CSG::Hook {
+ // this code is incomplete.
+ typedef std::map<V2, F2> edge_map_t;
+
+ public:
+ CarveTriangulationQuadMerger() {
+ }
+
+ virtual ~CarveTriangulationQuadMerger() {
+ }
+
+ double scoreQuad(edge_map_t::iterator i, edge_map_t &edge_map) {
+ if (!(*i).second.first || !(*i).second.second) return -1;
+ return 0;
+ }
+
+ carve::mesh::MeshSet<3>::face_t *mergeQuad(edge_map_t::iterator i, edge_map_t &edge_map) {
+ return NULL;
+ }
+
+ void recordEdge(carve::mesh::MeshSet<3>::vertex_t *v1,
+ carve::mesh::MeshSet<3>::vertex_t *v2,
+ carve::mesh::MeshSet<3>::face_t *f,
+ edge_map_t &edge_map) {
+ if (v1 < v2) {
+ edge_map[V2(v1, v2)].first = f;
+ } else {
+ edge_map[V2(v2, v1)].second = f;
+ }
+ }
+
+ virtual void processOutputFace(std::vector<carve::mesh::MeshSet<3>::face_t *> &faces,
+ const carve::mesh::MeshSet<3>::face_t *orig,
+ bool flipped) {
+ if (faces.size() == 1) return;
+
+ std::vector<carve::mesh::MeshSet<3>::face_t *> out_faces;
+ edge_map_t edge_map;
+
+ out_faces.reserve(faces.size());
+
+ poly::p2_adapt_project<3> projector(faces[0]->project);
+
+ for (size_t f = 0; f < faces.size(); ++f) {
+ carve::mesh::MeshSet<3>::face_t *face = faces[f];
+ if (face->nVertices() != 3) {
+ out_faces.push_back(face);
+ } else {
+ carve::mesh::MeshSet<3>::face_t::vertex_t *v1, *v2, *v3;
+ v1 = face->edge->vert;
+ v2 = face->edge->next->vert;
+ v3 = face->edge->next->next->vert;
+ recordEdge(v1, v2, face, edge_map);
+ recordEdge(v2, v3, face, edge_map);
+ recordEdge(v3, v1, face, edge_map);
+ }
+ }
+
+ for (edge_map_t::iterator i = edge_map.begin(); i != edge_map.end();) {
+ if ((*i).second.first && (*i).second.second) {
+ ++i;
+ } else {
+ edge_map.erase(i++);
+ }
+ }
+
+ while (edge_map.size()) {
+ edge_map_t::iterator i = edge_map.begin();
+ edge_map_t::iterator best = i;
+ double best_score = scoreQuad(i, edge_map);
+ for (++i; i != edge_map.end(); ++i) {
+ double score = scoreQuad(i, edge_map);
+ if (score > best_score) best = i;
+ }
+ if (best_score < 0) break;
+ out_faces.push_back(mergeQuad(best, edge_map));
+ }
+
+ if (edge_map.size()) {
+ tagable::tag_begin();
+ for (edge_map_t::iterator i = edge_map.begin(); i != edge_map.end(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *a = const_cast<carve::mesh::MeshSet<3>::face_t *>((*i).second.first);
+ carve::mesh::MeshSet<3>::face_t *b = const_cast<carve::mesh::MeshSet<3>::face_t *>((*i).second.first);
+ if (a && a->tag_once()) out_faces.push_back(a);
+ if (b && b->tag_once()) out_faces.push_back(b);
+ }
+ }
+
+ std::swap(faces, out_faces);
+ }
+ };
+
+ class CarveHoleResolver : public csg::CSG::Hook {
+
+ public:
+ CarveHoleResolver() {
+ }
+
+ virtual ~CarveHoleResolver() {
+ }
+
+ bool findRepeatedEdges(const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ std::list<std::pair<size_t, size_t> > &edge_pos) {
+ std::map<V2, size_t> edges;
+ for (size_t i = 0; i < vertices.size() - 1; ++i) {
+ edges[std::make_pair(vertices[i], vertices[i+1])] = i;
+ }
+ edges[std::make_pair(vertices[vertices.size()-1], vertices[0])] = vertices.size() - 1;
+
+ for (std::map<V2, size_t>::iterator i = edges.begin(); i != edges.end(); ++i) {
+ V2 rev = V2((*i).first.second, (*i).first.first);
+ std::map<V2, size_t>::iterator j = edges.find(rev);
+ if (j != edges.end()) {
+ edge_pos.push_back(std::make_pair((*i).second, (*j).second));
+ }
+ }
+ return edge_pos.size() > 0;
+ }
+
+ void flood(size_t t1,
+ size_t t2,
+ size_t old_grp,
+ size_t new_grp_1,
+ size_t new_grp_2,
+ std::vector<size_t> &grp,
+ const std::vector<triangulate::tri_idx> &tris,
+ const std::map<std::pair<size_t, size_t>, size_t> &tri_edge) {
+ grp[t1] = new_grp_1;
+ grp[t2] = new_grp_2;
+
+ std::deque<size_t> to_visit;
+ to_visit.push_back(t1);
+ to_visit.push_back(t2);
+ std::vector<std::pair<size_t, size_t> > rev;
+ rev.resize(3);
+ while (to_visit.size()) {
+ size_t curr = to_visit.front();
+ to_visit.pop_front();
+ triangulate::tri_idx ct = tris[curr];
+ rev[0] = std::make_pair(ct.b, ct.a);
+ rev[1] = std::make_pair(ct.c, ct.b);
+ rev[2] = std::make_pair(ct.a, ct.c);
+
+ for (size_t i = 0; i < 3; ++i) {
+ std::map<std::pair<size_t, size_t>, size_t>::const_iterator adj = tri_edge.find(rev[i]);
+ if (adj == tri_edge.end()) continue;
+ size_t next = (*adj).second;
+ if (grp[next] != old_grp) continue;
+ grp[next] = grp[curr];
+ to_visit.push_back(next);
+ }
+ }
+ }
+
+ void findPerimeter(const std::vector<triangulate::tri_idx> &tris,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &verts,
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &out) {
+ std::map<std::pair<size_t, size_t>, size_t> edges;
+ for (size_t i = 0; i < tris.size(); ++i) {
+ edges[std::make_pair(tris[i].a, tris[i].b)] = i;
+ edges[std::make_pair(tris[i].b, tris[i].c)] = i;
+ edges[std::make_pair(tris[i].c, tris[i].a)] = i;
+ }
+ std::map<size_t, size_t> unpaired;
+ for (std::map<std::pair<size_t, size_t>, size_t>::iterator i = edges.begin(); i != edges.end(); ++i) {
+ if (edges.find(std::make_pair((*i).first.second, (*i).first.first)) == edges.end()) {
+ CARVE_ASSERT(unpaired.find((*i).first.first) == unpaired.end());
+ unpaired[(*i).first.first] = (*i).first.second;
+ }
+ }
+ out.clear();
+ out.reserve(unpaired.size());
+ size_t start = (*unpaired.begin()).first;
+ size_t vert = start;
+ do {
+ out.push_back(verts[vert]);
+ CARVE_ASSERT(unpaired.find(vert) != unpaired.end());
+ vert = unpaired[vert];
+ } while (vert != start);
+ }
+
+ virtual void processOutputFace(std::vector<carve::mesh::MeshSet<3>::face_t *> &faces,
+ const carve::mesh::MeshSet<3>::face_t *orig,
+ bool flipped) {
+ std::vector<carve::mesh::MeshSet<3>::face_t *> out_faces;
+
+ for (size_t f = 0; f < faces.size(); ++f) {
+ carve::mesh::MeshSet<3>::face_t *face = faces[f];
+
+ if (face->nVertices() == 3) {
+ out_faces.push_back(face);
+ continue;
+ }
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> vloop;
+ face->getVertices(vloop);
+
+ std::list<std::pair<size_t, size_t> > rep_edges;
+ if (!findRepeatedEdges(vloop, rep_edges)) {
+ out_faces.push_back(face);
+ continue;
+ }
+
+ std::vector<triangulate::tri_idx> result;
+ triangulate::triangulate(
+ carve::mesh::MeshSet<3>::face_t::projection_mapping(face->project),
+ vloop,
+ result);
+
+ std::map<std::pair<size_t, size_t>, size_t> tri_edge;
+ for (size_t i = 0; i < result.size(); ++i) {
+ tri_edge[std::make_pair(result[i].a, result[i].b)] = i;
+ tri_edge[std::make_pair(result[i].b, result[i].c)] = i;
+ tri_edge[std::make_pair(result[i].c, result[i].a)] = i;
+ }
+
+ std::vector<size_t> grp;
+ grp.resize(result.size(), 0);
+
+ size_t grp_max = 0;
+
+ while (rep_edges.size()) {
+ std::pair<size_t, size_t> e1, e2;
+
+ e1.first = rep_edges.front().first;
+ e1.second = (e1.first + 1) % vloop.size();
+
+ e2.first = rep_edges.front().second;
+ e2.second = (e2.first + 1) % vloop.size();
+
+ rep_edges.pop_front();
+
+ CARVE_ASSERT(tri_edge.find(e1) != tri_edge.end());
+ size_t t1 = tri_edge[e1];
+ CARVE_ASSERT(tri_edge.find(e2) != tri_edge.end());
+ size_t t2 = tri_edge[e2];
+
+ if (grp[t1] != grp[t2]) {
+ continue;
+ }
+
+ size_t t1g = ++grp_max;
+ size_t t2g = ++grp_max;
+
+ flood(t1, t2, grp[t1], t1g, t2g, grp, result, tri_edge);
+ }
+
+ std::set<size_t> groups;
+ std::copy(grp.begin(), grp.end(), std::inserter(groups, groups.begin()));
+
+ // now construct perimeters for each group.
+ std::vector<triangulate::tri_idx> grp_tris;
+ grp_tris.reserve(result.size());
+ for (std::set<size_t>::iterator i = groups.begin(); i != groups.end(); ++i) {
+ size_t grp_id = *i;
+ grp_tris.clear();
+ for (size_t j = 0; j < grp.size(); ++j) {
+ if (grp[j] == grp_id) {
+ grp_tris.push_back(result[j]);
+ }
+ }
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> grp_perim;
+ findPerimeter(grp_tris, vloop, grp_perim);
+ out_faces.push_back(face->create(grp_perim.begin(), grp_perim.end(), false));
+ }
+ }
+ std::swap(faces, out_faces);
+ }
+ };
+ }
+}
diff --git a/extern/carve/include/carve/debug_hooks.hpp b/extern/carve/include/carve/debug_hooks.hpp
new file mode 100644
index 00000000000..9ef7fc83573
--- /dev/null
+++ b/extern/carve/include/carve/debug_hooks.hpp
@@ -0,0 +1,97 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/vector.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/csg.hpp>
+
+#include <iomanip>
+
+template<typename MAP>
+void map_histogram(std::ostream &out, const MAP &map) {
+ std::vector<int> hist;
+ for (typename MAP::const_iterator i = map.begin(); i != map.end(); ++i) {
+ size_t n = (*i).second.size();
+ if (hist.size() <= n) {
+ hist.resize(n + 1);
+ }
+ hist[n]++;
+ }
+ int total = map.size();
+ std::string bar(50, '*');
+ for (size_t i = 0; i < hist.size(); i++) {
+ if (hist[i] > 0) {
+ out << std::setw(5) << i << " : " << std::setw(5) << hist[i] << " " << bar.substr(50 - hist[i] * 50 / total) << std::endl;
+ }
+ }
+}
+
+namespace carve {
+ namespace csg {
+ class IntersectDebugHooks {
+ public:
+ virtual void drawIntersections(const VertexIntersections & /* vint */) {
+ }
+
+ virtual void drawPoint(const carve::mesh::MeshSet<3>::vertex_t * /* v */,
+ float /* r */,
+ float /* g */,
+ float /* b */,
+ float /* a */,
+ float /* rad */) {
+ }
+ virtual void drawEdge(const carve::mesh::MeshSet<3>::vertex_t * /* v1 */,
+ const carve::mesh::MeshSet<3>::vertex_t * /* v2 */,
+ float /* rA */, float /* gA */, float /* bA */, float /* aA */,
+ float /* rB */, float /* gB */, float /* bB */, float /* aB */,
+ float /* thickness */ = 1.0) {
+ }
+
+ virtual void drawFaceLoopWireframe(const std::vector<carve::mesh::MeshSet<3>::vertex_t *> & /* face_loop */,
+ const carve::mesh::MeshSet<3>::vertex_t & /* normal */,
+ float /* r */, float /* g */, float /* b */, float /* a */,
+ bool /* inset */ = true) {
+ }
+
+ virtual void drawFaceLoop(const std::vector<carve::mesh::MeshSet<3>::vertex_t *> & /* face_loop */,
+ const carve::mesh::MeshSet<3>::vertex_t & /* normal */,
+ float /* r */, float /* g */, float /* b */, float /* a */,
+ bool /* offset */ = true,
+ bool /* lit */ = true) {
+ }
+
+ virtual void drawFaceLoop2(const std::vector<carve::mesh::MeshSet<3>::vertex_t *> & /* face_loop */,
+ const carve::mesh::MeshSet<3>::vertex_t & /* normal */,
+ float /* rF */, float /* gF */, float /* bF */, float /* aF */,
+ float /* rB */, float /* gB */, float /* bB */, float /* aB */,
+ bool /* offset */ = true,
+ bool /* lit */ = true) {
+ }
+
+ virtual ~IntersectDebugHooks() {
+ }
+ };
+
+ IntersectDebugHooks *intersect_installDebugHooks(IntersectDebugHooks *hooks);
+ bool intersect_debugEnabled();
+
+ }
+}
diff --git a/extern/carve/include/carve/djset.hpp b/extern/carve/include/carve/djset.hpp
new file mode 100644
index 00000000000..542858d59f4
--- /dev/null
+++ b/extern/carve/include/carve/djset.hpp
@@ -0,0 +1,134 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <vector>
+
+
+
+namespace carve {
+namespace djset {
+
+
+
+ class djset {
+
+ protected:
+ struct elem {
+ size_t parent, rank;
+ elem(size_t p, size_t r) : parent(p), rank(r) {}
+ elem() {}
+ };
+
+ std::vector<elem> set;
+ size_t n_sets;
+
+ public:
+ djset() : set(), n_sets(0) {
+ }
+
+ djset(size_t N) {
+ n_sets = N;
+ set.reserve(N);
+ for (size_t i = 0; i < N; ++i) {
+ set.push_back(elem(i,0));
+ }
+ }
+
+ void init(size_t N) {
+ if (N == set.size()) {
+ for (size_t i = 0; i < N; ++i) {
+ set[i] = elem(i,0);
+ }
+ n_sets = N;
+ } else {
+ djset temp(N);
+ std::swap(set, temp.set);
+ std::swap(n_sets, temp.n_sets);
+ }
+ }
+
+ size_t count() const {
+ return n_sets;
+ }
+
+ size_t find_set_head(size_t a) {
+ if (a == set[a].parent) return a;
+
+ size_t a_head = a;
+ while (set[a_head].parent != a_head) a_head = set[a_head].parent;
+ set[a].parent = a_head;
+ return a_head;
+ }
+
+ bool same_set(size_t a, size_t b) {
+ return find_set_head(a) == find_set_head(b);
+ }
+
+ void merge_sets(size_t a, size_t b) {
+ a = find_set_head(a);
+ b = find_set_head(b);
+ if (a != b) {
+ n_sets--;
+ if (set[a].rank < set[b].rank) {
+ set[a].parent = b;
+ } else if (set[b].rank < set[a].rank) {
+ set[b].parent = a;
+ } else {
+ set[a].rank++;
+ set[b].parent = a;
+ }
+ }
+ }
+
+ void get_index_to_set(std::vector<size_t> &index_set, std::vector<size_t> &set_size) {
+ index_set.clear();
+ index_set.resize(set.size(), n_sets);
+ set_size.clear();
+ set_size.resize(n_sets, 0);
+
+ size_t c = 0;
+ for (size_t i = 0; i < set.size(); ++i) {
+ size_t s = find_set_head(i);
+ if (index_set[s] == n_sets) index_set[s] = c++;
+ index_set[i] = index_set[s];
+ set_size[index_set[s]]++;
+ }
+ }
+
+ template<typename in_iter_t, typename out_collection_t>
+ void collate(in_iter_t in, out_collection_t &out) {
+ std::vector<size_t> set_id(set.size(), n_sets);
+ out.clear();
+ out.resize(n_sets);
+ size_t c = 0;
+ for (size_t i = 0; i < set.size(); ++i) {
+ size_t s = find_set_head(i);
+ if (set_id[s] == n_sets) set_id[s] = c++;
+ s = set_id[s];
+ std::insert_iterator<typename out_collection_t::value_type> j(out[s], out[s].end());
+ *j = *in++;
+ }
+ }
+ };
+
+
+
+}
+}
diff --git a/extern/carve/include/carve/edge_decl.hpp b/extern/carve/include/carve/edge_decl.hpp
new file mode 100644
index 00000000000..cafef5de7b1
--- /dev/null
+++ b/extern/carve/include/carve/edge_decl.hpp
@@ -0,0 +1,68 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/vector.hpp>
+#include <carve/tag.hpp>
+
+#include <vector>
+#include <list>
+
+namespace carve {
+ namespace poly {
+
+
+
+ struct Object;
+
+
+
+ template<unsigned ndim>
+ class Edge : public tagable {
+ public:
+ typedef Vertex<ndim> vertex_t;
+ typedef typename Vertex<ndim>::vector_t vector_t;
+ typedef Object obj_t;
+
+ const vertex_t *v1, *v2;
+ const obj_t *owner;
+
+ Edge(const vertex_t *_v1, const vertex_t *_v2, const obj_t *_owner) :
+ tagable(), v1(_v1), v2(_v2), owner(_owner) {
+ }
+
+ ~Edge() {
+ }
+ };
+
+
+
+ struct hash_edge_ptr {
+ template<unsigned ndim>
+ size_t operator()(const Edge<ndim> * const &e) const {
+ return (size_t)e;
+ }
+ };
+
+
+
+ }
+}
+
diff --git a/extern/carve/include/carve/edge_impl.hpp b/extern/carve/include/carve/edge_impl.hpp
new file mode 100644
index 00000000000..504972c7de0
--- /dev/null
+++ b/extern/carve/include/carve/edge_impl.hpp
@@ -0,0 +1,23 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+namespace carve {
+ namespace poly {
+ }
+}
diff --git a/extern/carve/include/carve/exact.hpp b/extern/carve/include/carve/exact.hpp
new file mode 100644
index 00000000000..afb491211fd
--- /dev/null
+++ b/extern/carve/include/carve/exact.hpp
@@ -0,0 +1,702 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <vector>
+#include <numeric>
+#include <algorithm>
+
+
+namespace carve {
+ namespace exact {
+
+ class exact_t : public std::vector<double> {
+ typedef std::vector<double> super;
+
+ public:
+ exact_t() : super() {
+ }
+
+ exact_t(double v, size_t sz = 1) : super(sz, v) {
+ }
+
+ template<typename iter_t>
+ exact_t(iter_t a, iter_t b) : super(a, b) {
+ }
+
+ exact_t(double a, double b) : super() {
+ reserve(2);
+ push_back(a);
+ push_back(b);
+ }
+
+ exact_t(double a, double b, double c) : super() {
+ reserve(3);
+ push_back(a);
+ push_back(b);
+ push_back(c);
+ }
+
+ exact_t(double a, double b, double c, double d) : super() {
+ reserve(4);
+ push_back(a);
+ push_back(b);
+ push_back(c);
+ push_back(d);
+ }
+
+ exact_t(double a, double b, double c, double d, double e) : super() {
+ reserve(5);
+ push_back(a);
+ push_back(b);
+ push_back(c);
+ push_back(d);
+ push_back(e);
+ }
+
+ exact_t(double a, double b, double c, double d, double e, double f) : super() {
+ reserve(6);
+ push_back(a);
+ push_back(b);
+ push_back(c);
+ push_back(d);
+ push_back(e);
+ push_back(f);
+ }
+
+ exact_t(double a, double b, double c, double d, double e, double f, double g) : super() {
+ reserve(7);
+ push_back(a);
+ push_back(b);
+ push_back(c);
+ push_back(d);
+ push_back(e);
+ push_back(f);
+ push_back(g);
+ }
+
+ exact_t(double a, double b, double c, double d, double e, double f, double g, double h) : super() {
+ reserve(8);
+ push_back(a);
+ push_back(b);
+ push_back(c);
+ push_back(d);
+ push_back(e);
+ push_back(f);
+ push_back(g);
+ push_back(h);
+ }
+
+ void compress();
+
+ exact_t compressed() const {
+ exact_t result(*this);
+ result.compress();
+ return result;
+ }
+
+ operator double() const {
+ return std::accumulate(begin(), end(), 0.0);
+ }
+
+ void removeZeroes() {
+ erase(std::remove(begin(), end(), 0.0), end());
+ }
+ };
+
+ inline std::ostream &operator<<(std::ostream &out, const exact_t &p) {
+ out << '{';
+ out << p[0];
+ for (size_t i = 1; i < p.size(); ++i) out << ';' << p[i];
+ out << '}';
+ return out;
+ }
+
+
+
+ namespace detail {
+ const struct constants_t {
+ double splitter; /* = 2^ceiling(p / 2) + 1. Used to split floats in half. */
+ double epsilon; /* = 2^(-p). Used to estimate roundoff errors. */
+ /* A set of coefficients used to calculate maximum roundoff errors. */
+ double resulterrbound;
+ double ccwerrboundA, ccwerrboundB, ccwerrboundC;
+ double o3derrboundA, o3derrboundB, o3derrboundC;
+ double iccerrboundA, iccerrboundB, iccerrboundC;
+ double isperrboundA, isperrboundB, isperrboundC;
+
+ constants_t() {
+ double half;
+ double check, lastcheck;
+ int every_other;
+
+ every_other = 1;
+ half = 0.5;
+ epsilon = 1.0;
+ splitter = 1.0;
+ check = 1.0;
+ /* Repeatedly divide `epsilon' by two until it is too small to add to */
+ /* one without causing roundoff. (Also check if the sum is equal to */
+ /* the previous sum, for machines that round up instead of using exact */
+ /* rounding. Not that this library will work on such machines anyway. */
+ do {
+ lastcheck = check;
+ epsilon *= half;
+ if (every_other) {
+ splitter *= 2.0;
+ }
+ every_other = !every_other;
+ check = 1.0 + epsilon;
+ } while ((check != 1.0) && (check != lastcheck));
+ splitter += 1.0;
+
+ /* Error bounds for orientation and incircle tests. */
+ resulterrbound = (3.0 + 8.0 * epsilon) * epsilon;
+ ccwerrboundA = (3.0 + 16.0 * epsilon) * epsilon;
+ ccwerrboundB = (2.0 + 12.0 * epsilon) * epsilon;
+ ccwerrboundC = (9.0 + 64.0 * epsilon) * epsilon * epsilon;
+ o3derrboundA = (7.0 + 56.0 * epsilon) * epsilon;
+ o3derrboundB = (3.0 + 28.0 * epsilon) * epsilon;
+ o3derrboundC = (26.0 + 288.0 * epsilon) * epsilon * epsilon;
+ iccerrboundA = (10.0 + 96.0 * epsilon) * epsilon;
+ iccerrboundB = (4.0 + 48.0 * epsilon) * epsilon;
+ iccerrboundC = (44.0 + 576.0 * epsilon) * epsilon * epsilon;
+ isperrboundA = (16.0 + 224.0 * epsilon) * epsilon;
+ isperrboundB = (5.0 + 72.0 * epsilon) * epsilon;
+ isperrboundC = (71.0 + 1408.0 * epsilon) * epsilon * epsilon;
+ }
+ } constants;
+
+ template<unsigned U, unsigned V>
+ struct op {
+ enum {
+ Vlo = V / 2,
+ Vhi = V - Vlo
+ };
+
+ static inline void add(const double *a, const double *b, double *r) {
+ double t[U + Vlo];
+ op<U, Vlo>::add(a, b, t);
+ for (size_t i = 0; i < Vlo; ++i) r[i] = t[i];
+ op<U, Vhi>::add(t + Vlo, b + Vlo, r + Vlo);
+ }
+
+ static inline void sub(const double *a, const double *b, double *r) {
+ double t[U + Vlo];
+ op<U, Vlo>::sub(a, b, t);
+ for (size_t i = 0; i < Vlo; ++i) r[i] = t[i];
+ op<U, Vhi>::sub(t + Vlo, b + Vlo, r + Vlo);
+ }
+ };
+
+ template<unsigned U>
+ struct op<U, 1> {
+ enum {
+ Ulo = U / 2,
+ Uhi = U - Ulo
+ };
+ static void add(const double *a, const double *b, double *r) {
+ double t[Ulo + 1];
+ op<Ulo, 1>::add(a, b, t);
+ for (size_t i = 0; i < Ulo; ++i) r[i] = t[i];
+ op<Uhi, 1>::add(a + Ulo, t + Ulo, r + Ulo);
+ }
+
+ static void sub(const double *a, const double *b, double *r) {
+ double t[Ulo + 1];
+ op<Ulo, 1>::sub(a, b, t);
+ for (size_t i = 0; i < Ulo; ++i) r[i] = t[i];
+ op<Uhi, 1>::add(a + Ulo, t + Ulo, r + Ulo);
+ }
+ };
+
+ template<>
+ struct op<1, 1> {
+ static void add_fast(const double *a, const double *b, double *r) {
+ assert(fabs(a[0]) >= fabs(b[0]));
+ volatile double sum = a[0] + b[0];
+ volatile double bvirt = sum - a[0];
+ r[0] = b[0] - bvirt;
+ r[1] = sum;
+ }
+
+ static void sub_fast(const double *a, const double *b, double *r) {
+ assert(fabs(a[0]) >= fabs(b[0]));
+ volatile double diff = a[0] - b[0];
+ volatile double bvirt = a[0] - diff;
+ r[0] = bvirt - b[0];
+ r[1] = diff;
+ }
+
+ static void add(const double *a, const double *b, double *r) {
+ volatile double sum = a[0] + b[0];
+ volatile double bvirt = sum - a[0];
+ double avirt = sum - bvirt;
+ double bround = b[0] - bvirt;
+ double around = a[0] - avirt;
+ r[0] = around + bround;
+ r[1] = sum;
+ }
+
+ static void sub(const double *a, const double *b, double *r) {
+ volatile double diff = a[0] - b[0];
+ volatile double bvirt = a[0] - diff;
+ double avirt = diff + bvirt;
+ double bround = bvirt - b[0];
+ double around = a[0] - avirt;
+ r[0] = around + bround;
+ r[1] = diff;
+ }
+ };
+
+
+ template<unsigned U, unsigned V>
+ static exact_t add(const double *a, const double *b) {
+ exact_t result;
+ result.resize(U + V);
+ op<U,V>::add(a, b, &result[0]);
+ return result;
+ }
+
+
+ template<unsigned U, unsigned V>
+ static exact_t sub(const double *a, const double *b) {
+ exact_t result;
+ result.resize(U + V);
+ op<U,V>::sub(a, b, &result[0]);
+ return result;
+ }
+
+
+ template<unsigned U, unsigned V>
+ static exact_t add(const exact_t &a, const exact_t &b) {
+ assert(a.size() == U);
+ assert(b.size() == V);
+ exact_t result;
+ result.resize(U + V);
+ std::fill(result.begin(), result.end(), std::numeric_limits<double>::quiet_NaN());
+ op<U,V>::add(&a[0], &b[0], &result[0]);
+ return result;
+ }
+
+
+ template<unsigned U, unsigned V>
+ static exact_t add(const exact_t &a, const double *b) {
+ assert(a.size() == U);
+ exact_t result;
+ result.resize(U + V);
+ std::fill(result.begin(), result.end(), std::numeric_limits<double>::quiet_NaN());
+ op<U,V>::add(&a[0], b, &result[0]);
+ return result;
+ }
+
+
+ template<unsigned U, unsigned V>
+ static exact_t sub(const exact_t &a, const exact_t &b) {
+ assert(a.size() == U);
+ assert(b.size() == V);
+ exact_t result;
+ result.resize(U + V);
+ std::fill(result.begin(), result.end(), std::numeric_limits<double>::quiet_NaN());
+ op<U,V>::sub(&a[0], &b[0], &result[0]);
+ return result;
+ }
+
+
+ template<unsigned U, unsigned V>
+ static exact_t sub(const exact_t &a, const double *b) {
+ assert(a.size() == U);
+ exact_t result;
+ result.resize(U + V);
+ std::fill(result.begin(), result.end(), std::numeric_limits<double>::quiet_NaN());
+ op<U,V>::sub(&a[0], &b[0], &result[0]);
+ return result;
+ }
+
+
+ static inline void split(const double a, double *r) {
+ volatile double c = constants.splitter * a;
+ volatile double abig = c - a;
+ r[1] = c - abig;
+ r[0] = a - r[1];
+ }
+
+ static inline void prod_1_1(const double *a, const double *b, double *r) {
+ r[1] = a[0] * b[0];
+ double a_sp[2]; split(a[0], a_sp);
+ double b_sp[2]; split(b[0], b_sp);
+ double err1 = r[1] - a_sp[1] * b_sp[1];
+ double err2 = err1 - a_sp[0] * b_sp[1];
+ double err3 = err2 - a_sp[1] * b_sp[0];
+ r[0] = a_sp[0] * b_sp[0] - err3;
+ }
+
+ static inline void prod_1_1s(const double *a, const double *b, const double *b_sp, double *r) {
+ r[1] = a[0] * b[0];
+ double a_sp[2]; split(a[0], a_sp);
+ double err1 = r[1] - a_sp[1] * b_sp[1];
+ double err2 = err1 - a_sp[0] * b_sp[1];
+ double err3 = err2 - a_sp[1] * b_sp[0];
+ r[0] = a_sp[0] * b_sp[0] - err3;
+ }
+
+ static inline void prod_1s_1s(const double *a, const double *a_sp, const double *b, const double *b_sp, double *r) {
+ r[1] = a[0] * b[0];
+ double err1 = r[1] - a_sp[1] * b_sp[1];
+ double err2 = err1 - a_sp[0] * b_sp[1];
+ double err3 = err2 - a_sp[1] * b_sp[0];
+ r[0] = a_sp[0] * b_sp[0] - err3;
+ }
+
+ static inline void prod_2_1(const double *a, const double *b, double *r) {
+ double b_sp[2]; split(b[0], b_sp);
+ double t1[2]; prod_1_1s(a+0, b, b_sp, t1);
+ r[0] = t1[0];
+ double t2[2]; prod_1_1s(a+1, b, b_sp, t2);
+ double t3[2]; op<1,1>::add(t1+1, t2, t3);
+ r[1] = t3[0];
+ double t4[2]; op<1,1>::add_fast(t2+1, t3+1, r + 2);
+ }
+
+ static inline void prod_1_2(const double *a, const double *b, double *r) {
+ prod_2_1(b, a, r);
+ }
+
+ static inline void prod_4_1(const double *a, const double *b, double *r) {
+ double b_sp[2]; split(b[0], b_sp);
+ double t1[2]; prod_1_1s(a+0, b, b_sp, t1);
+ r[0] = t1[0];
+ double t2[2]; prod_1_1s(a+1, b, b_sp, t2);
+ double t3[2]; op<1,1>::add(t1+1, t2, t3);
+ r[1] = t3[0];
+ double t4[2]; op<1,1>::add_fast(t2+1, t3+1, t4);
+ r[2] = t4[0];
+ double t5[2]; prod_1_1s(a+2, b, b_sp, t5);
+ double t6[2]; op<1,1>::add(t4+1, t5, t6);
+ r[3] = t6[0];
+ double t7[2]; op<1,1>::add_fast(t5+1, t6+1, t7);
+ r[4] = t7[0];
+ double t8[2]; prod_1_1s(a+3, b, b_sp, t8);
+ double t9[2]; op<1,1>::add(t7+1, t8, t9);
+ r[5] = t9[0];
+ op<1,1>::add_fast(t8+1, t9+1, r + 6);
+ }
+
+ static inline void prod_1_4(const double *a, const double *b, double *r) {
+ prod_4_1(b, a, r);
+ }
+
+ static inline void prod_2_2(const double *a, const double *b, double *r) {
+ double a1_sp[2]; split(a[1], a1_sp);
+ double a0_sp[2]; split(a[0], a0_sp);
+ double b1_sp[2]; split(b[1], b1_sp);
+ double b0_sp[2]; split(b[0], b0_sp);
+
+ double t1[2]; prod_1s_1s(a+0, a0_sp, b+0, b0_sp, t1);
+ r[0] = t1[0];
+ double t2[2]; prod_1s_1s(a+1, a1_sp, b+0, b0_sp, t2);
+
+ double t3[2]; op<1,1>::add(t1+1, t2, t3);
+ double t4[2]; op<1,1>::add_fast(t2+1, t3+1, t4);
+
+ double t5[2]; prod_1s_1s(a+0, a0_sp, b+1, b1_sp, t5);
+
+ double t6[2]; op<1,1>::add(t3, t5, t6);
+ r[1] = t6[0];
+ double t7[2]; op<1,1>::add(t4, t6+1, t7);
+ double t8[2]; op<1,1>::add(t4+1, t7+1, t8);
+
+ double t9[2]; prod_1s_1s(a+1, a1_sp, b+1, b1_sp, t9);
+
+ double t10[2]; op<1,1>::add(t5+1, t9, t10);
+ double t11[2]; op<1,1>::add(t7, t10, t11);
+ r[2] = t11[0];
+ double t12[2]; op<1,1>::add(t8, t11+1, t12);
+ double t13[2]; op<1,1>::add(t8+1, t12+1, t13);
+ double t14[2]; op<1,1>::add(t9+1, t10+1, t14);
+ double t15[2]; op<1,1>::add(t12, t14, t15);
+ r[3] = t15[0];
+ double t16[2]; op<1,1>::add(t13, t15+1, t16);
+ double t17[2]; op<1,1>::add(t13+1, t16+1, t17);
+ double t18[2]; op<1,1>::add(t16, t14+1, t18);
+ r[4] = t18[0];
+ double t19[2]; op<1,1>::add(t17, t18+1, t19);
+ r[5] = t19[0];
+ double t20[2]; op<1,1>::add(t17+1, t19+1, t20);
+ r[6] = t20[0];
+ r[7] = t20[1];
+ }
+
+
+
+ static inline void square(const double a, double *r) {
+ r[1] = a * a;
+ double a_sp[2]; split(a, a_sp);
+ double err1 = r[1] - (a_sp[1] * a_sp[1]);
+ double err3 = err1 - ((a_sp[1] + a_sp[1]) * a_sp[0]);
+ r[0] = a_sp[0] * a_sp[0] - err3;
+ }
+
+ static inline void square_2(const double *a, double *r) {
+ double t1[2]; square(a[0], t1);
+ r[0] = t1[0];
+ double t2 = a[0] + a[0];
+ double t3[2]; prod_1_1(a+1, &t2, t3);
+ double t4[3]; op<2,1>::add(t3, t1 + 1, t4);
+ r[1] = t4[0];
+ double t5[2]; square(a[1], t5);
+ double t6[4]; op<2,2>::add(t5, t4 + 1, r + 2);
+ }
+ }
+
+
+
+ void exact_t::compress() {
+ double sum[2];
+
+ int j = size() - 1;
+ double Q = (*this)[j];
+ for (int i = (int)size()-2; i >= 0; --i) {
+ detail::op<1,1>::add_fast(&Q, &(*this)[i], sum);
+ if (sum[0] != 0) {
+ (*this)[j--] = sum[1];
+ Q = sum[0];
+ } else {
+ Q = sum[1];
+ }
+ }
+ int j2 = 0;
+ for (int i = j + 1; i < (int)size(); ++i) {
+ detail::op<1,1>::add_fast(&(*this)[i], &Q, sum);
+ if (sum[0] != 0) {
+ (*this)[j2++] = sum[0];
+ }
+ Q = sum[1];
+ }
+ (*this)[j2++] = Q;
+
+ erase(begin() + j2, end());
+ }
+
+ template<typename iter_t>
+ void negate(iter_t begin, iter_t end) {
+ while (begin != end) { *begin = -*begin; ++begin; }
+ }
+
+ void negate(exact_t &e) {
+ negate(&e[0], &e[e.size()]);
+ }
+
+ template<typename iter_t>
+ void scale_zeroelim(iter_t ebegin,
+ iter_t eend,
+ double b,
+ exact_t &h) {
+ double Q;
+
+ h.clear();
+ double b_sp[2]; detail::split(b, b_sp);
+
+ double prod[2], sum[2];
+
+ detail::prod_1_1s((double *)ebegin++, &b, b_sp, prod);
+ Q = prod[1];
+ if (prod[0] != 0.0) {
+ h.push_back(prod[0]);
+ }
+ while (ebegin != eend) {
+ double enow = *ebegin++;
+ detail::prod_1_1s(&enow, &b, b_sp, prod);
+ detail::op<1,1>::add(&Q, prod, sum);
+ if (sum[0] != 0) {
+ h.push_back(sum[0]);
+ }
+ detail::op<1,1>::add_fast(prod+1, sum+1, sum);
+ Q = sum[1];
+ if (sum[0] != 0) {
+ h.push_back(sum[0]);
+ }
+ }
+ if ((Q != 0.0) || (h.size() == 0)) {
+ h.push_back(Q);
+ }
+ }
+
+ void scale_zeroelim(const exact_t &e,
+ double b,
+ exact_t &h) {
+ scale_zeroelim(&e[0], &e[e.size()], b, h);
+ }
+
+ template<typename iter_t>
+ void sum_zeroelim(iter_t ebegin,
+ iter_t eend,
+ iter_t fbegin,
+ iter_t fend,
+ exact_t &h) {
+ double Q;
+ double enow, fnow;
+
+ double sum[2];
+
+ enow = *ebegin;
+ fnow = *fbegin;
+
+ h.clear();
+
+ if ((fnow > enow) == (fnow > -enow)) {
+ Q = enow;
+ enow = *++ebegin;
+ } else {
+ Q = fnow;
+ fnow = *++fbegin;
+ }
+
+ if (ebegin != eend && fbegin != fend) {
+ if ((fnow > enow) == (fnow > -enow)) {
+ detail::op<1,1>::add_fast(&enow, &Q, sum);
+ enow = *++ebegin;
+ } else {
+ detail::op<1,1>::add_fast(&fnow, &Q, sum);
+ fnow = *++fbegin;
+ }
+ Q = sum[1];
+ if (sum[0] != 0.0) {
+ h.push_back(sum[0]);
+ }
+ while (ebegin != eend && fbegin != fend) {
+ if ((fnow > enow) == (fnow > -enow)) {
+ detail::op<1,1>::add(&Q, &enow, sum);
+ enow = *++ebegin;
+ } else {
+ detail::op<1,1>::add(&Q, &fnow, sum);
+ fnow = *++fbegin;
+ }
+ Q = sum[1];
+ if (sum[0] != 0.0) {
+ h.push_back(sum[0]);
+ }
+ }
+ }
+
+ while (ebegin != eend) {
+ detail::op<1,1>::add(&Q, &enow, sum);
+ enow = *++ebegin;
+ Q = sum[1];
+ if (sum[0] != 0.0) {
+ h.push_back(sum[0]);
+ }
+ }
+ while (fbegin != fend) {
+ detail::op<1,1>::add(&Q, &fnow, sum);
+ fnow = *++fbegin;
+ Q = sum[1];
+ if (sum[0] != 0.0) {
+ h.push_back(sum[0]);
+ }
+ }
+
+ if (Q != 0.0 || !h.size()) {
+ h.push_back(Q);
+ }
+ }
+
+ void sum_zeroelim(const exact_t &e,
+ const exact_t &f,
+ exact_t &h) {
+ sum_zeroelim(&e[0], &e[e.size()], &f[0], &f[f.size()], h);
+ }
+
+ void sum_zeroelim(const double *ebegin,
+ const double *eend,
+ const exact_t &f,
+ exact_t &h) {
+ sum_zeroelim(ebegin, eend, &f[0], &f[f.size()], h);
+ }
+
+ void sum_zeroelim(const exact_t &e,
+ const double *fbegin,
+ const double *fend,
+ exact_t &h) {
+ sum_zeroelim(&e[0], &e[e.size()], fbegin, fend, h);
+ }
+
+
+ // XXX: not implemented yet
+ //exact_t operator+(const exact_t &a, const exact_t &b) {
+ //}
+
+
+
+ void diffprod(const double a, const double b, const double c, const double d, double *r) {
+ // return ab - cd;
+ double ab[2], cd[2];
+ detail::prod_1_1(&a, &b, ab);
+ detail::prod_1_1(&c, &d, cd);
+ detail::op<2,2>::sub(ab, cd, r);
+ }
+
+ double orient3dexact(const double *pa,
+ const double *pb,
+ const double *pc,
+ const double *pd) {
+ using namespace detail;
+
+ double ab[4]; diffprod(pa[0], pb[1], pb[0], pa[1], ab);
+ double bc[4]; diffprod(pb[0], pc[1], pc[0], pb[1], bc);
+ double cd[4]; diffprod(pc[0], pd[1], pd[0], pc[1], cd);
+ double da[4]; diffprod(pd[0], pa[1], pa[0], pd[1], da);
+ double ac[4]; diffprod(pa[0], pc[1], pc[0], pa[1], ac);
+ double bd[4]; diffprod(pb[0], pd[1], pd[0], pb[1], bd);
+
+ exact_t temp;
+ exact_t cda, dab, abc, bcd;
+ exact_t adet, bdet, cdet, ddet, abdet, cddet, det;
+
+ sum_zeroelim(cd, cd + 4, da, da + 4, temp);
+ sum_zeroelim(temp, ac, ac + 4, cda);
+
+ sum_zeroelim(da, da + 4, ab, ab + 4, temp);
+ sum_zeroelim(temp, bd, bd + 4, dab);
+
+ negate(bd, bd + 4);
+ negate(ac, bd + 4);
+
+ sum_zeroelim(ab, ab + 4, bc, bc + 4, temp);
+ sum_zeroelim(temp, ac, ac + 4, abc);
+
+ sum_zeroelim(bc, bc + 4, cd, cd + 4, temp);
+ sum_zeroelim(temp, bd, bd + 4, bcd);
+
+ scale_zeroelim(bcd, +pa[2], adet);
+ scale_zeroelim(cda, -pb[2], bdet);
+ scale_zeroelim(dab, +pc[2], cdet);
+ scale_zeroelim(abc, -pd[2], ddet);
+
+ sum_zeroelim(adet, bdet, abdet);
+ sum_zeroelim(cdet, ddet, cddet);
+
+ sum_zeroelim(abdet, cddet, det);
+
+ return det[det.size() - 1];
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/face_decl.hpp b/extern/carve/include/carve/face_decl.hpp
new file mode 100644
index 00000000000..bc7afd44adc
--- /dev/null
+++ b/extern/carve/include/carve/face_decl.hpp
@@ -0,0 +1,208 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom2d.hpp>
+#include <carve/vector.hpp>
+#include <carve/matrix.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/aabb.hpp>
+#include <carve/tag.hpp>
+
+#include <vector>
+#include <list>
+#include <map>
+
+namespace carve {
+ namespace poly {
+
+
+
+ struct Object;
+
+ template<unsigned ndim>
+ class Edge;
+
+
+
+ template<unsigned ndim>
+ struct p2_adapt_project {
+ typedef carve::geom2d::P2 (*proj_t)(const carve::geom::vector<ndim> &);
+ proj_t proj;
+ p2_adapt_project(proj_t _proj) : proj(_proj) { }
+ carve::geom2d::P2 operator()(const carve::geom::vector<ndim> &v) const { return proj(v); }
+ carve::geom2d::P2 operator()(const carve::geom::vector<ndim> *v) const { return proj(*v); }
+ carve::geom2d::P2 operator()(const Vertex<ndim> &v) const { return proj(v.v); }
+ carve::geom2d::P2 operator()(const Vertex<ndim> *v) const { return proj(v->v); }
+ };
+
+
+ template<unsigned ndim>
+ class Face : public tagable {
+ public:
+ typedef Vertex<ndim> vertex_t;
+ typedef typename Vertex<ndim>::vector_t vector_t;
+ typedef Edge<ndim> edge_t;
+ typedef Object obj_t;
+ typedef carve::geom::aabb<ndim> aabb_t;
+ typedef carve::geom::plane<ndim> plane_t;
+
+ typedef carve::geom2d::P2 (*project_t)(const vector_t &);
+ typedef vector_t (*unproject_t)(const carve::geom2d::P2 &, const plane_t &);
+
+ protected:
+ std::vector<const vertex_t *> vertices; // pointer into polyhedron.vertices
+ std::vector<const edge_t *> edges; // pointer into polyhedron.edges
+
+ project_t getProjector(bool positive_facing, int axis);
+ unproject_t getUnprojector(bool positive_facing, int axis);
+
+ public:
+ typedef typename std::vector<const vertex_t *>::iterator vertex_iter_t;
+ typedef typename std::vector<const vertex_t *>::const_iterator const_vertex_iter_t;
+
+ typedef typename std::vector<const edge_t *>::iterator edge_iter_t;
+ typedef typename std::vector<const edge_t *>::const_iterator const_edge_iter_t;
+
+ obj_t *owner;
+
+ aabb_t aabb;
+ plane_t plane_eqn;
+ int manifold_id;
+ int group_id;
+
+ project_t project;
+ unproject_t unproject;
+
+ Face(const std::vector<const vertex_t *> &_vertices, bool delay_recalc = false);
+ Face(const vertex_t *v1, const vertex_t *v2, const vertex_t *v3, bool delay_recalc = false);
+ Face(const vertex_t *v1, const vertex_t *v2, const vertex_t *v3, const vertex_t *v4, bool delay_recalc = false);
+
+ template <typename iter_t>
+ Face(const Face *base, iter_t vbegin, iter_t vend, bool flipped) {
+ init(base, vbegin, vend, flipped);
+ }
+
+ Face(const Face *base, const std::vector<const vertex_t *> &_vertices, bool flipped) {
+ init(base, _vertices, flipped);
+ }
+
+ Face() {}
+ ~Face() {}
+
+ bool recalc();
+
+ template<typename iter_t>
+ Face *init(const Face *base, iter_t vbegin, iter_t vend, bool flipped);
+ Face *init(const Face *base, const std::vector<const vertex_t *> &_vertices, bool flipped);
+
+ template<typename iter_t>
+ Face *create(iter_t vbegin, iter_t vend, bool flipped) const;
+ Face *create(const std::vector<const vertex_t *> &_vertices, bool flipped) const;
+
+ Face *clone(bool flipped = false) const;
+ void invert();
+
+ void getVertexLoop(std::vector<const vertex_t *> &loop) const;
+
+ const vertex_t *&vertex(size_t idx);
+ const vertex_t *vertex(size_t idx) const;
+ size_t nVertices() const;
+
+ vertex_iter_t vbegin() { return vertices.begin(); }
+ vertex_iter_t vend() { return vertices.end(); }
+ const_vertex_iter_t vbegin() const { return vertices.begin(); }
+ const_vertex_iter_t vend() const { return vertices.end(); }
+
+ std::vector<carve::geom::vector<2> > projectedVertices() const;
+
+ const edge_t *&edge(size_t idx);
+ const edge_t *edge(size_t idx) const;
+ size_t nEdges() const;
+
+ edge_iter_t ebegin() { return edges.begin(); }
+ edge_iter_t eend() { return edges.end(); }
+ const_edge_iter_t ebegin() const { return edges.begin(); }
+ const_edge_iter_t eend() const { return edges.end(); }
+
+ bool containsPoint(const vector_t &p) const;
+ bool containsPointInProjection(const vector_t &p) const;
+ bool simpleLineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const;
+ IntersectionClass lineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const;
+ vector_t centroid() const;
+
+ p2_adapt_project<ndim> projector() const {
+ return p2_adapt_project<ndim>(project);
+ }
+
+ void swap(Face<ndim> &other);
+ };
+
+
+
+ struct hash_face_ptr {
+ template<unsigned ndim>
+ size_t operator()(const Face<ndim> * const &f) const {
+ return (size_t)f;
+ }
+ };
+
+
+
+ namespace face {
+
+
+
+ template<unsigned ndim>
+ static inline carve::geom2d::P2 project(const Face<ndim> *f, const typename Face<ndim>::vector_t &v) {
+ return f->project(v);
+ }
+
+
+
+ template<unsigned ndim>
+ static inline carve::geom2d::P2 project(const Face<ndim> &f, const typename Face<ndim>::vector_t &v) {
+ return f.project(v);
+ }
+
+
+
+ template<unsigned ndim>
+ static inline typename Face<ndim>::vector_t unproject(const Face<ndim> *f, const carve::geom2d::P2 &p) {
+ return f->unproject(p, f->plane_eqn);
+ }
+
+
+
+ template<unsigned ndim>
+ static inline typename Face<ndim>::vector_t unproject(const Face<ndim> &f, const carve::geom2d::P2 &p) {
+ return f.unproject(p, f.plane_eqn);
+ }
+
+
+
+ }
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/face_impl.hpp b/extern/carve/include/carve/face_impl.hpp
new file mode 100644
index 00000000000..771ba761111
--- /dev/null
+++ b/extern/carve/include/carve/face_impl.hpp
@@ -0,0 +1,140 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+namespace std {
+ template<unsigned ndim>
+ inline void swap(carve::poly::Face<ndim> &a, carve::poly::Face<ndim> &b) {
+ a.swap(b);
+ }
+}
+
+namespace carve {
+ namespace poly {
+ template<unsigned ndim>
+ void Face<ndim>::swap(Face<ndim> &other) {
+ std::swap(vertices, other.vertices);
+ std::swap(edges, other.edges);
+ std::swap(owner, other.owner);
+ std::swap(aabb, other.aabb);
+ std::swap(plane_eqn, other.plane_eqn);
+ std::swap(manifold_id, other.manifold_id);
+ std::swap(group_id, other.group_id);
+ std::swap(project, other.project);
+ std::swap(unproject, other.unproject);
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ Face<ndim> *Face<ndim>::init(const Face<ndim> *base, iter_t vbegin, iter_t vend, bool flipped) {
+ vertices.reserve(std::distance(vbegin, vend));
+
+ if (flipped) {
+ std::reverse_copy(vbegin, vend, std::back_inserter(vertices));
+ plane_eqn = -base->plane_eqn;
+ } else {
+ std::copy(vbegin, vend, std::back_inserter(vertices));
+ plane_eqn = base->plane_eqn;
+ }
+
+ edges.clear();
+ edges.resize(nVertices(), NULL);
+
+ aabb.fit(vertices.begin(), vertices.end(), vec_adapt_vertex_ptr());
+ untag();
+
+ int da = carve::geom::largestAxis(plane_eqn.N);
+
+ project = getProjector(plane_eqn.N.v[da] > 0, da);
+ unproject = getUnprojector(plane_eqn.N.v[da] > 0, da);
+
+ return this;
+ }
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ Face<ndim> *Face<ndim>::create(iter_t vbegin, iter_t vend, bool flipped) const {
+ return (new Face)->init(this, vbegin, vend, flipped);
+ }
+
+ template<unsigned ndim>
+ Face<ndim> *Face<ndim>::create(const std::vector<const vertex_t *> &_vertices, bool flipped) const {
+ return (new Face)->init(this, _vertices.begin(), _vertices.end(), flipped);
+ }
+
+ template<unsigned ndim>
+ Face<ndim> *Face<ndim>::clone(bool flipped) const {
+ return (new Face)->init(this, vertices, flipped);
+ }
+
+ template<unsigned ndim>
+ void Face<ndim>::getVertexLoop(std::vector<const vertex_t *> &loop) const {
+ loop.resize(nVertices(), NULL);
+ std::copy(vbegin(), vend(), loop.begin());
+ }
+
+ template<unsigned ndim>
+ const typename Face<ndim>::edge_t *&Face<ndim>::edge(size_t idx) {
+ return edges[idx];
+ }
+
+ template<unsigned ndim>
+ const typename Face<ndim>::edge_t *Face<ndim>::edge(size_t idx) const {
+ return edges[idx];
+ }
+
+ template<unsigned ndim>
+ size_t Face<ndim>::nEdges() const {
+ return edges.size();
+ }
+
+ template<unsigned ndim>
+ const typename Face<ndim>::vertex_t *&Face<ndim>::vertex(size_t idx) {
+ return vertices[idx];
+ }
+
+ template<unsigned ndim>
+ const typename Face<ndim>::vertex_t *Face<ndim>::vertex(size_t idx) const {
+ return vertices[idx];
+ }
+
+ template<unsigned ndim>
+ size_t Face<ndim>::nVertices() const {
+ return vertices.size();
+ }
+
+ template<unsigned ndim>
+ typename Face<ndim>::vector_t Face<ndim>::centroid() const {
+ vector_t c;
+ carve::geom::centroid(vertices.begin(), vertices.end(), vec_adapt_vertex_ptr(), c);
+ return c;
+ }
+
+ template<unsigned ndim>
+ std::vector<carve::geom::vector<2> > Face<ndim>::projectedVertices() const {
+ p2_adapt_project<ndim> proj = projector();
+ std::vector<carve::geom::vector<2> > result;
+ result.reserve(nVertices());
+ for (size_t i = 0; i < nVertices(); ++i) {
+ result.push_back(proj(vertex(i)->v));
+ }
+ return result;
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/faceloop.hpp b/extern/carve/include/carve/faceloop.hpp
new file mode 100644
index 00000000000..5df1d2080f3
--- /dev/null
+++ b/extern/carve/include/carve/faceloop.hpp
@@ -0,0 +1,103 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/classification.hpp>
+#include <carve/collection_types.hpp>
+
+namespace carve {
+ namespace csg {
+
+ struct FaceLoopGroup;
+
+ struct FaceLoop {
+ FaceLoop *next, *prev;
+ const carve::mesh::MeshSet<3>::face_t *orig_face;
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> vertices;
+ FaceLoopGroup *group;
+
+ FaceLoop(const carve::mesh::MeshSet<3>::face_t *f, const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &v) : next(NULL), prev(NULL), orig_face(f), vertices(v), group(NULL) {}
+ };
+
+
+ struct FaceLoopList {
+ FaceLoop *head, *tail;
+ unsigned count;
+
+ FaceLoopList() : head(NULL), tail(NULL), count(0) { }
+
+ void append(FaceLoop *f) {
+ f->prev = tail;
+ f->next = NULL;
+ if (tail) tail->next = f;
+ tail = f;
+ if (!head) head = f;
+ count++;
+ }
+
+ void prepend(FaceLoop *f) {
+ f->next = head;
+ f->prev = NULL;
+ if (head) head->prev = f;
+ head = f;
+ if (!tail) tail = f;
+ count++;
+ }
+
+ unsigned size() const {
+ return count;
+ }
+
+ FaceLoop *remove(FaceLoop *f) {
+ FaceLoop *r = f->next;
+ if (f->prev) { f->prev->next = f->next; } else { head = f->next; }
+ if (f->next) { f->next->prev = f->prev; } else { tail = f->prev; }
+ f->next = f->prev = NULL;
+ count--;
+ return r;
+ }
+
+ ~FaceLoopList() {
+ FaceLoop *a = head, *b;
+ while (a) {
+ b = a;
+ a = a->next;
+ delete b;
+ }
+ }
+ };
+
+ struct FaceLoopGroup {
+ const carve::mesh::MeshSet<3> *src;
+ FaceLoopList face_loops;
+ V2Set perimeter;
+ std::list<ClassificationInfo> classification;
+
+ FaceLoopGroup(const carve::mesh::MeshSet<3> *_src) : src(_src) {
+ }
+
+ FaceClass classificationAgainst(const carve::mesh::MeshSet<3>::mesh_t *mesh) const;
+ };
+
+
+
+ typedef std::list<FaceLoopGroup> FLGroupList;
+
+ }
+}
diff --git a/extern/carve/include/carve/geom.hpp b/extern/carve/include/carve/geom.hpp
new file mode 100644
index 00000000000..421083e3e3c
--- /dev/null
+++ b/extern/carve/include/carve/geom.hpp
@@ -0,0 +1,363 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <vector>
+
+namespace carve {
+ namespace geom {
+
+ template<unsigned ndim> struct aabb;
+
+ // ========================================================================
+ struct _uninitialized { };
+
+ template<unsigned ndim>
+ struct base {
+ double v[ndim];
+ };
+
+ template<> struct base<2> {union { double v[2]; struct { double x, y; }; }; };
+ template<> struct base<3> {union { double v[3]; struct { double x, y, z; }; }; };
+ template<> struct base<4> {union { double v[4]; struct { double x, y, z, w; }; }; };
+
+ template<unsigned ndim>
+ struct vector : public base<ndim> {
+ enum { __ndim = ndim };
+
+ static vector ZERO();
+ double length2() const;
+ double length() const;
+ vector<ndim> &normalize();
+ vector<ndim> normalized() const;
+ bool exactlyZero() const;
+ bool isZero(double epsilon = EPSILON) const;
+ void setZero();
+ void fill(double val);
+ vector<ndim> &scaleBy(double d);
+ vector<ndim> &invscaleBy(double d);
+ vector<ndim> scaled(double d) const;
+ vector<ndim> invscaled(double d) const;
+ vector<ndim> &negate();
+ vector<ndim> negated() const;
+ double &operator[](unsigned i);
+ const double &operator[](unsigned i) const;
+ template<typename assign_t>
+ vector<ndim> &operator=(const assign_t &t);
+ std::string asStr() const;
+
+ aabb<ndim> getAABB() const;
+
+ vector() { setZero(); }
+ vector(noinit_t) { }
+ };
+
+ template<unsigned ndim>
+ vector<ndim> vector<ndim>::ZERO() { vector<ndim> r; r.setZero(); return r; }
+
+ static inline vector<2> VECTOR(double x, double y) { vector<2> r; r.x = x; r.y = y; return r; }
+ static inline vector<3> VECTOR(double x, double y, double z) { vector<3> r; r.x = x; r.y = y; r.z = z; return r; }
+ static inline vector<4> VECTOR(double x, double y, double z, double w) { vector<4> r; r.x = x; r.y = y; r.z = z; r.w = w; return r; }
+
+ template<unsigned ndim> vector<ndim> operator+(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> vector<ndim> operator+(const vector<ndim> &a, double b);
+ template<unsigned ndim, typename val_t> vector<ndim> operator+(const vector<ndim> &a, const val_t &b);
+ template<unsigned ndim, typename val_t> vector<ndim> operator+(const val_t &a, const vector<ndim> &b);
+
+ template<unsigned ndim> vector<ndim> &operator+=(vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> vector<ndim> &operator+=(vector<ndim> &a, double b);
+ template<unsigned ndim, typename val_t> vector<ndim> &operator+=(vector<ndim> &a, const val_t &b);
+
+ template<unsigned ndim> vector<ndim> operator-(const vector<ndim> &a);
+
+ template<unsigned ndim> vector<ndim> operator-(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> vector<ndim> operator-(const vector<ndim> &a, double b);
+ template<unsigned ndim, typename val_t> vector<ndim> operator-(const vector<ndim> &a, const val_t &b);
+ template<unsigned ndim, typename val_t> vector<ndim> operator-(const val_t &a, const vector<ndim> &b);
+
+ template<unsigned ndim> vector<ndim> &operator-=(vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> vector<ndim> &operator-=(vector<ndim> &a, double b);
+ template<unsigned ndim, typename val_t> vector<ndim> &operator-=(vector<ndim> &a, const val_t &b);
+
+ template<unsigned ndim> vector<ndim> operator*(const vector<ndim> &a, double s);
+ template<unsigned ndim> vector<ndim> operator*(double s, const vector<ndim> &a);
+ template<unsigned ndim> vector<ndim> &operator*=(vector<ndim> &a, double s);
+
+ template<unsigned ndim> vector<ndim> operator/(const vector<ndim> &a, double s);
+ template<unsigned ndim> vector<ndim> &operator/=(vector<ndim> &a, double s);
+
+ template<unsigned ndim> bool operator==(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator!=(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator<(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator<=(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator>(const vector<ndim> &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator>=(const vector<ndim> &a, const vector<ndim> &b);
+
+ template<unsigned ndim> vector<ndim> abs(const vector<ndim> &a);
+
+ template<unsigned ndim> double distance2(const vector<ndim> &a, const vector<ndim> &b);
+
+ template<unsigned ndim> double distance(const vector<ndim> &a, const vector<ndim> &b);
+
+ template<unsigned ndim> bool equal(const vector<ndim> &a, const vector<ndim> &b);
+
+ template<unsigned ndim> int smallestAxis(const vector<ndim> &a);
+
+ template<unsigned ndim> int largestAxis(const vector<ndim> &a);
+
+ template<unsigned ndim> vector<2> select(const vector<ndim> &a, int a1, int a2);
+
+ template<unsigned ndim> vector<3> select(const vector<ndim> &a, int a1, int a2, int a3);
+
+ template<unsigned ndim, typename assign_t, typename oper_t>
+ vector<ndim> &assign_op(vector<ndim> &a, const assign_t &t, oper_t op);
+
+ template<unsigned ndim, typename assign1_t, typename assign2_t, typename oper_t>
+ vector<ndim> &assign_op(vector<ndim> &a, const assign1_t &t1, const assign2_t &t2, oper_t op);
+
+ template<unsigned ndim, typename iter_t>
+ void bounds(iter_t begin, iter_t end, vector<ndim> &min, vector<ndim> &max);
+
+ template<unsigned ndim, typename iter_t, typename adapt_t>
+ void bounds(iter_t begin, iter_t end, adapt_t adapt, vector<ndim> &min, vector<ndim> &max);
+
+ template<unsigned ndim, typename iter_t, typename adapt_t>
+ void centroid(iter_t begin, iter_t end, adapt_t adapt, vector<ndim> &c);
+
+ template<unsigned ndim, typename val_t> double dot(const vector<ndim> &a, const val_t &b);
+
+ static inline vector<3> cross(const vector<3> &a, const vector<3> &b);
+
+ static inline double cross(const vector<2> &a, const vector<2> &b);
+
+ static inline double dotcross(const vector<3> &a, const vector<3> &b, const vector<3> &c);
+
+
+
+ // ========================================================================
+ struct axis_pos {
+ int axis;
+ double pos;
+
+ axis_pos(int _axis, double _pos) : axis(_axis), pos(_pos) { }
+ };
+
+ template<unsigned ndim>
+ double distance(const axis_pos &a, const vector<ndim> &b);
+
+ template<unsigned ndim>
+ double distance2(const axis_pos &a, const vector<ndim> &b);
+
+ template<unsigned ndim> bool operator<(const axis_pos &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator<(const vector<ndim> &a, const axis_pos &b);
+
+ template<unsigned ndim> bool operator<=(const axis_pos &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator<=(const vector<ndim> &a, const axis_pos &b);
+
+ template<unsigned ndim> bool operator>(const axis_pos &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator>(const vector<ndim> &a, const axis_pos &b);
+
+ template<unsigned ndim> bool operator>=(const axis_pos &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator>=(const vector<ndim> &a, const axis_pos &b);
+
+ template<unsigned ndim> bool operator==(const axis_pos &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator==(const vector<ndim> &a, const axis_pos &b);
+
+ template<unsigned ndim> bool operator!=(const axis_pos &a, const vector<ndim> &b);
+ template<unsigned ndim> bool operator!=(const vector<ndim> &a, const axis_pos &b);
+
+
+
+ // ========================================================================
+ template<unsigned ndim>
+ struct ray {
+ typedef vector<ndim> vector_t;
+
+ vector_t D, v;
+
+ bool OK() const;
+
+ ray() { }
+ ray(vector_t _D, vector_t _v) : D(_D), v(_v) { }
+ };
+
+ template<unsigned ndim>
+ ray<ndim> rayThrough(const vector<ndim> &a, const vector<ndim> &b);
+
+ static inline double distance2(const ray<3> &r, const vector<3> &v);
+
+ static inline double distance(const ray<3> &r, const vector<3> &v);
+
+ static inline double distance2(const ray<2> &r, const vector<2> &v);
+
+ static inline double distance(const ray<2> &r, const vector<2> &v);
+
+
+
+ // ========================================================================
+ template<unsigned ndim>
+ struct linesegment {
+ typedef vector<ndim> vector_t;
+
+ vector_t v1;
+ vector_t v2;
+ vector_t midpoint;
+ vector_t half_length;
+
+ void update();
+ bool OK() const;
+ void flip();
+
+ aabb<ndim> getAABB() const;
+
+ linesegment(const vector_t &_v1, const vector_t &_v2);
+ };
+
+ template<unsigned ndim>
+ double distance2(const linesegment<ndim> &l, const vector<ndim> &v);
+
+ template<unsigned ndim>
+ double distance(const linesegment<ndim> &l, const vector<ndim> &v);
+
+
+
+ // ========================================================================
+ template<unsigned ndim>
+ struct plane {
+ typedef vector<ndim> vector_t;
+
+ vector_t N;
+ double d;
+
+ void negate();
+
+ plane();
+ plane(const vector_t &_N, vector_t _p);
+ plane(const vector_t &_N, double _d);
+ };
+
+ template<unsigned ndim>
+ inline plane<ndim> operator-(const plane<ndim> &p);
+
+ template<unsigned ndim, typename val_t>
+ double distance(const plane<ndim> &plane, const val_t &point);
+
+ template<unsigned ndim, typename val_t>
+ double distance2(const plane<ndim> &plane, const val_t &point);
+
+ template<unsigned ndim>
+ static inline vector<ndim> closestPoint(const plane<ndim> &p, const vector<ndim> &v);
+
+
+
+ // ========================================================================
+ template<unsigned ndim>
+ struct sphere {
+ typedef vector<ndim> vector_t;
+
+ vector_t C;
+ double r;
+
+ aabb<ndim> getAABB() const;
+
+ sphere();
+ sphere(const vector_t &_C, double _r);
+ };
+
+ template<unsigned ndim, typename val_t>
+ double distance(const sphere<ndim> &sphere, const val_t &point);
+
+ template<unsigned ndim, typename val_t>
+ double distance2(const sphere<ndim> &sphere, const val_t &point);
+
+ template<unsigned ndim>
+ static inline vector<ndim> closestPoint(const sphere<ndim> &sphere, const vector<ndim> &point);
+
+
+ // ========================================================================
+ template<unsigned ndim>
+ struct tri {
+ typedef vector<ndim> vector_t;
+
+ vector_t v[3];
+
+ aabb<ndim> getAABB() const;
+
+ tri(vector_t _v[3]);
+ tri(const vector_t &a, const vector_t &b, const vector_t &c);
+
+ vector_t normal() const {
+ return cross(v[1] - v[0], v[2] - v[1]).normalized();
+ }
+ };
+
+
+
+ template<unsigned ndim> std::ostream &operator<<(std::ostream &o, const vector<ndim> &v);
+ template<unsigned ndim> std::ostream &operator<<(std::ostream &o, const carve::geom::plane<ndim> &p);
+ template<unsigned ndim> std::ostream &operator<<(std::ostream &o, const carve::geom::sphere<ndim> &sphere);
+ template<unsigned ndim> std::ostream &operator<<(std::ostream &o, const carve::geom::tri<ndim> &tri);
+
+
+
+ template<unsigned ndim> vector<ndim> closestPoint(const tri<ndim> &tri, const vector<ndim> &pt);
+ template<unsigned ndim> double distance(const tri<ndim> &tri, const vector<ndim> &pt);
+ template<unsigned ndim> double distance2(const tri<ndim> &tri, const vector<ndim> &pt);
+
+
+
+ // ========================================================================
+ struct distance_functor {
+ template<typename obj1_t, typename obj2_t>
+ double operator()(const obj1_t &o1, const obj2_t &o2) {
+ return distance(o1, o2);
+ }
+ };
+
+
+
+ // ========================================================================
+ template<int base, int power> struct __pow__ { enum { val = __pow__<base, (power >> 1)>::val * __pow__<base, power - (power >> 1)>::val }; };
+ template<int base> struct __pow__<base, 1> { enum { val = base }; };
+ template<int base> struct __pow__<base, 0> { enum { val = 1 }; };
+
+ template<unsigned base, unsigned ndigits>
+ struct quantize {
+ typedef __pow__<base, ndigits> fac;
+
+ double operator()(double in) {
+ return round(in * fac::val) / fac::val;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> operator()(const vector<ndim> &in) {
+ vector<ndim> r(NOINIT);
+ assign_op(r, in, *this);
+ return r;
+ }
+ };
+
+
+
+ }
+}
+
+
+#include <carve/geom_impl.hpp>
diff --git a/extern/carve/include/carve/geom2d.hpp b/extern/carve/include/carve/geom2d.hpp
new file mode 100644
index 00000000000..731e22919b6
--- /dev/null
+++ b/extern/carve/include/carve/geom2d.hpp
@@ -0,0 +1,403 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/math.hpp>
+#include <carve/math_constants.hpp>
+
+#include <carve/geom.hpp>
+
+#include <vector>
+#include <algorithm>
+
+#include <math.h>
+
+#if defined(CARVE_DEBUG)
+# include <iostream>
+#endif
+
+#if defined CARVE_USE_EXACT_PREDICATES
+# include <carve/shewchuk_predicates.hpp>
+#endif
+
+namespace carve {
+ namespace geom2d {
+
+ typedef carve::geom::vector<2> P2;
+ typedef carve::geom::ray<2> Ray2;
+ typedef carve::geom::linesegment<2> LineSegment2;
+
+
+
+ struct p2_adapt_ident {
+ P2 &operator()(P2 &p) const { return p; }
+ const P2 &operator()(const P2 &p) const { return p; }
+ };
+
+
+
+ typedef std::vector<P2> P2Vector;
+
+ /**
+ * \brief Return the orientation of c with respect to the ray defined by a->b.
+ *
+ * (Can be implemented exactly)
+ *
+ * @param[in] a
+ * @param[in] b
+ * @param[in] c
+ *
+ * @return positive, if c to the left of a->b.
+ * zero, if c is colinear with a->b.
+ * negative, if c to the right of a->b.
+ */
+#if defined CARVE_USE_EXACT_PREDICATES
+ inline double orient2d(const P2 &a, const P2 &b, const P2 &c) {
+ return shewchuk::orient2d(a.v, b.v, c.v);
+ }
+#else
+ inline double orient2d(const P2 &a, const P2 &b, const P2 &c) {
+ double acx = a.x - c.x;
+ double bcx = b.x - c.x;
+ double acy = a.y - c.y;
+ double bcy = b.y - c.y;
+ return acx * bcy - acy * bcx;
+ }
+#endif
+
+ /**
+ * \brief Determine whether p is internal to the anticlockwise
+ * angle abc, where b is the apex of the angle.
+ *
+ * @param[in] a
+ * @param[in] b
+ * @param[in] c
+ * @param[in] p
+ *
+ * @return true, if p is contained in the anticlockwise angle from
+ * b->a to b->c. Reflex angles contain p if p lies
+ * on b->a or on b->c. Acute angles do not contain p
+ * if p lies on b->a or on b->c. This is so that
+ * internalToAngle(a,b,c,p) = !internalToAngle(c,b,a,p)
+ */
+ inline bool internalToAngle(const P2 &a,
+ const P2 &b,
+ const P2 &c,
+ const P2 &p) {
+ bool reflex = (a < c) ? orient2d(b, a, c) <= 0.0 : orient2d(b, c, a) > 0.0;
+ double d1 = orient2d(b, a, p);
+ double d2 = orient2d(b, c, p);
+ if (reflex) {
+ return d1 >= 0.0 || d2 <= 0.0;
+ } else {
+ return d1 > 0.0 && d2 < 0.0;
+ }
+ }
+
+ /**
+ * \brief Determine whether p is internal to the anticlockwise
+ * angle ac, with apex at (0,0).
+ *
+ * @param[in] a
+ * @param[in] c
+ * @param[in] p
+ *
+ * @return true, if p is contained in a0c.
+ */
+ inline bool internalToAngle(const P2 &a,
+ const P2 &c,
+ const P2 &p) {
+ return internalToAngle(a, P2::ZERO(), c, p);
+ }
+
+ template<typename P2vec>
+ bool isAnticlockwise(const P2vec &tri) {
+ return orient2d(tri[0], tri[1], tri[2]) > 0.0;
+ }
+
+ template<typename P2vec>
+ bool pointIntersectsTriangle(const P2 &p, const P2vec &tri) {
+ int orient = isAnticlockwise(tri) ? +1 : -1;
+ if (orient2d(tri[0], tri[1], p) * orient < 0) return false;
+ if (orient2d(tri[1], tri[2], p) * orient < 0) return false;
+ if (orient2d(tri[2], tri[0], p) * orient < 0) return false;
+ return true;
+ }
+
+ template<typename P2vec>
+ bool lineIntersectsTriangle(const P2 &p1, const P2 &p2, const P2vec &tri) {
+ double s[3];
+ // does tri lie on one side or the other of p1-p2?
+ s[0] = orient2d(p1, p2, tri[0]);
+ s[1] = orient2d(p1, p2, tri[1]);
+ s[2] = orient2d(p1, p2, tri[2]);
+ if (*std::max_element(s, s+3) < 0) return false;
+ if (*std::min_element(s, s+3) > 0) return false;
+
+ // does line lie entirely to the right of a triangle edge?
+ int orient = isAnticlockwise(tri) ? +1 : -1;
+ if (orient2d(tri[0], tri[1], p1) * orient < 0 && orient2d(tri[0], tri[1], p2) * orient < 0) return false;
+ if (orient2d(tri[1], tri[2], p1) * orient < 0 && orient2d(tri[1], tri[2], p2) * orient < 0) return false;
+ if (orient2d(tri[2], tri[0], p1) * orient < 0 && orient2d(tri[2], tri[0], p2) * orient < 0) return false;
+ return true;
+ }
+
+ template<typename P2vec>
+ int triangleLineOrientation(const P2 &p1, const P2 &p2, const P2vec &tri) {
+ double lo, hi, tmp;
+ lo = hi = orient2d(p1, p2, tri[0]);
+ tmp = orient2d(p1, p2, tri[1]); lo = std::min(lo, tmp); hi = std::max(hi, tmp);
+ tmp = orient2d(p1, p2, tri[2]); lo = std::min(lo, tmp); hi = std::max(hi, tmp);
+ if (hi < 0.0) return -1;
+ if (lo > 0.0) return +1;
+ return 0;
+ }
+
+ template<typename P2vec>
+ bool triangleIntersectsTriangle(const P2vec &tri_b, const P2vec &tri_a) {
+ int orient_a = isAnticlockwise(tri_a) ? +1 : -1;
+ if (triangleLineOrientation(tri_a[0], tri_a[1], tri_b) * orient_a < 0) return false;
+ if (triangleLineOrientation(tri_a[1], tri_a[2], tri_b) * orient_a < 0) return false;
+ if (triangleLineOrientation(tri_a[2], tri_a[0], tri_b) * orient_a < 0) return false;
+
+ int orient_b = isAnticlockwise(tri_b) ? +1 : -1;
+ if (triangleLineOrientation(tri_b[0], tri_b[1], tri_a) * orient_b < 0) return false;
+ if (triangleLineOrientation(tri_b[1], tri_b[2], tri_a) * orient_b < 0) return false;
+ if (triangleLineOrientation(tri_b[2], tri_b[0], tri_a) * orient_b < 0) return false;
+
+ return true;
+ }
+
+
+
+ static inline double atan2(const P2 &p) {
+ return ::atan2(p.y, p.x);
+ }
+
+
+
+ struct LineIntersectionInfo {
+ LineIntersectionClass iclass;
+ P2 ipoint;
+ int p1, p2;
+
+ LineIntersectionInfo(LineIntersectionClass _iclass,
+ P2 _ipoint = P2::ZERO(),
+ int _p1 = -1,
+ int _p2 = -1) :
+ iclass(_iclass), ipoint(_ipoint), p1(_p1), p2(_p2) {
+ }
+ };
+
+ struct PolyInclusionInfo {
+ PointClass iclass;
+ int iobjnum;
+
+ PolyInclusionInfo(PointClass _iclass,
+ int _iobjnum = -1) :
+ iclass(_iclass), iobjnum(_iobjnum) {
+ }
+ };
+
+ struct PolyIntersectionInfo {
+ IntersectionClass iclass;
+ P2 ipoint;
+ size_t iobjnum;
+
+ PolyIntersectionInfo(IntersectionClass _iclass,
+ const P2 &_ipoint,
+ size_t _iobjnum) :
+ iclass(_iclass), ipoint(_ipoint), iobjnum(_iobjnum) {
+ }
+ };
+
+ bool lineSegmentIntersection_simple(const P2 &l1v1, const P2 &l1v2,
+ const P2 &l2v1, const P2 &l2v2);
+ bool lineSegmentIntersection_simple(const LineSegment2 &l1,
+ const LineSegment2 &l2);
+
+ LineIntersectionInfo lineSegmentIntersection(const P2 &l1v1, const P2 &l1v2,
+ const P2 &l2v1, const P2 &l2v2);
+ LineIntersectionInfo lineSegmentIntersection(const LineSegment2 &l1,
+ const LineSegment2 &l2);
+
+ int lineSegmentPolyIntersections(const std::vector<P2> &points,
+ LineSegment2 line,
+ std::vector<PolyInclusionInfo> &out);
+
+ int sortedLineSegmentPolyIntersections(const std::vector<P2> &points,
+ LineSegment2 line,
+ std::vector<PolyInclusionInfo> &out);
+
+
+
+ static inline bool quadIsConvex(const P2 &a, const P2 &b, const P2 &c, const P2 &d) {
+ double s_1, s_2;
+
+ s_1 = carve::geom2d::orient2d(a, c, b);
+ s_2 = carve::geom2d::orient2d(a, c, d);
+ if ((s_1 < 0.0 && s_2 < 0.0) || (s_1 > 0.0 && s_2 > 0.0)) return false;
+
+ s_1 = carve::geom2d::orient2d(b, d, a);
+ s_2 = carve::geom2d::orient2d(b, d, c);
+ if ((s_1 < 0.0 && s_2 < 0.0) || (s_1 > 0.0 && s_2 > 0.0)) return false;
+
+ return true;
+ }
+
+ template<typename T, typename adapt_t>
+ inline bool quadIsConvex(const T &a, const T &b, const T &c, const T &d, adapt_t adapt) {
+ return quadIsConvex(adapt(a), adapt(b), adapt(c), adapt(d));
+ }
+
+
+
+ double signedArea(const std::vector<P2> &points);
+
+ static inline double signedArea(const P2 &a, const P2 &b, const P2 &c) {
+ return ((b.y + a.y) * (b.x - a.x) + (c.y + b.y) * (c.x - b.x) + (a.y + c.y) * (a.x - c.x)) / 2.0;
+ }
+
+ template<typename T, typename adapt_t>
+ double signedArea(const std::vector<T> &points, adapt_t adapt) {
+ P2Vector::size_type l = points.size();
+ double A = 0.0;
+
+ for (P2Vector::size_type i = 0; i < l - 1; i++) {
+ A += (adapt(points[i + 1]).y + adapt(points[i]).y) * (adapt(points[i + 1]).x - adapt(points[i]).x);
+ }
+ A += (adapt(points[0]).y + adapt(points[l - 1]).y) * (adapt(points[0]).x - adapt(points[l - 1]).x);
+
+ return A / 2.0;
+ }
+
+
+
+ template<typename iter_t, typename adapt_t>
+ double signedArea(iter_t begin, iter_t end, adapt_t adapt) {
+ double A = 0.0;
+ P2 p, n;
+
+ if (begin == end) return 0.0;
+
+ p = adapt(*begin);
+ for (iter_t c = begin; ++c != end; ) {
+ P2 n = adapt(*c);
+ A += (n.y + p.y) * (n.x - p.x);
+ p = n;
+ }
+ n = adapt(*begin);
+ A += (n.y + p.y) * (n.x - p.x);
+
+ return A / 2.0;
+ }
+
+
+
+ bool pointInPolySimple(const std::vector<P2> &points, const P2 &p);
+
+ template<typename T, typename adapt_t>
+ bool pointInPolySimple(const std::vector<T> &points, adapt_t adapt, const P2 &p) {
+ CARVE_ASSERT(points.size() > 0);
+ P2Vector::size_type l = points.size();
+ double s = 0.0;
+ double rp, r0, d;
+
+ rp = r0 = atan2(adapt(points[0]) - p);
+
+ for (P2Vector::size_type i = 1; i < l; i++) {
+ double r = atan2(adapt(points[i]) - p);
+ d = r - rp;
+ if (d > M_PI) d -= M_TWOPI;
+ if (d < -M_PI) d += M_TWOPI;
+ s = s + d;
+ rp = r;
+ }
+
+ d = r0 - rp;
+ if (d > M_PI) d -= M_TWOPI;
+ if (d < -M_PI) d += M_TWOPI;
+ s = s + d;
+
+ return !carve::math::ZERO(s);
+ }
+
+
+
+ PolyInclusionInfo pointInPoly(const std::vector<P2> &points, const P2 &p);
+
+ template<typename T, typename adapt_t>
+ PolyInclusionInfo pointInPoly(const std::vector<T> &points, adapt_t adapt, const P2 &p) {
+ P2Vector::size_type l = points.size();
+ for (unsigned i = 0; i < l; i++) {
+ if (equal(adapt(points[i]), p)) return PolyInclusionInfo(POINT_VERTEX, i);
+ }
+
+ for (unsigned i = 0; i < l; i++) {
+ unsigned j = (i + 1) % l;
+
+ if (std::min(adapt(points[i]).x, adapt(points[j]).x) - EPSILON < p.x &&
+ std::max(adapt(points[i]).x, adapt(points[j]).x) + EPSILON > p.x &&
+ std::min(adapt(points[i]).y, adapt(points[j]).y) - EPSILON < p.y &&
+ std::max(adapt(points[i]).y, adapt(points[j]).y) + EPSILON > p.y &&
+ distance2(carve::geom::rayThrough(adapt(points[i]), adapt(points[j])), p) < EPSILON2) {
+ return PolyInclusionInfo(POINT_EDGE, i);
+ }
+ }
+
+ if (pointInPolySimple(points, adapt, p)) {
+ return PolyInclusionInfo(POINT_IN);
+ }
+
+ return PolyInclusionInfo(POINT_OUT);
+ }
+
+
+
+ bool pickContainedPoint(const std::vector<P2> &poly, P2 &result);
+
+ template<typename T, typename adapt_t>
+ bool pickContainedPoint(const std::vector<T> &poly, adapt_t adapt, P2 &result) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "pickContainedPoint ";
+ for (unsigned i = 0; i < poly.size(); ++i) std::cerr << " " << adapt(poly[i]);
+ std::cerr << std::endl;
+#endif
+
+ const size_t S = poly.size();
+ P2 a, b, c;
+ for (unsigned i = 0; i < S; ++i) {
+ a = adapt(poly[i]);
+ b = adapt(poly[(i + 1) % S]);
+ c = adapt(poly[(i + 2) % S]);
+
+ if (cross(a - b, c - b) < 0) {
+ P2 p = (a + b + c) / 3;
+ if (pointInPolySimple(poly, adapt, p)) {
+ result = p;
+ return true;
+ }
+ }
+ }
+ return false;
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/geom3d.hpp b/extern/carve/include/carve/geom3d.hpp
new file mode 100644
index 00000000000..90d0672b81e
--- /dev/null
+++ b/extern/carve/include/carve/geom3d.hpp
@@ -0,0 +1,310 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/geom.hpp>
+
+#include <math.h>
+#include <carve/math_constants.hpp>
+
+#include <vector>
+#include <list>
+#include <map>
+
+#if defined(CARVE_DEBUG)
+# include <iostream>
+#endif
+
+#if defined CARVE_USE_EXACT_PREDICATES
+# include <carve/shewchuk_predicates.hpp>
+#endif
+
+namespace carve {
+ namespace geom3d {
+
+ typedef carve::geom::plane<3> Plane;
+ typedef carve::geom::ray<3> Ray;
+ typedef carve::geom::linesegment<3> LineSegment;
+ typedef carve::geom::vector<3> Vector;
+
+ template<typename iter_t, typename adapt_t>
+ bool fitPlane(iter_t begin, iter_t end, adapt_t adapt, Plane &plane) {
+ Vector centroid;
+ carve::geom::centroid(begin, end, adapt, centroid);
+ iter_t i;
+
+ Vector n = Vector::ZERO();
+ Vector v;
+ Vector p1, p2, p3, c1, c2;
+ if (begin == end) return false;
+
+ i = begin;
+ p1 = c1 = adapt(*i); if (++i == end) return false;
+ p2 = c2 = adapt(*i); if (++i == end) return false;
+
+#if defined(CARVE_DEBUG)
+ size_t N = 2;
+#endif
+ do {
+ p3 = adapt(*i);
+ v = cross(p3 - p2, p1 - p2);
+ if (v.v[largestAxis(v)]) v.negate();
+ n += v;
+ p1 = p2; p2 = p3;
+#if defined(CARVE_DEBUG)
+ ++N;
+#endif
+ } while (++i != end);
+
+ p1 = p2; p2 = p3; p3 = c1;
+ v = cross(p3 - p2, p1 - p2);
+ if (v.v[largestAxis(v)]) v.negate();
+ n += v;
+
+ p1 = p2; p2 = p3; p3 = c2;
+ v = cross(p3 - p2, p1 - p2);
+ if (v.v[largestAxis(v)]) v.negate();
+ n += v;
+
+ n.normalize();
+ plane.N = n;
+ plane.d = -dot(n, centroid);
+#if defined(CARVE_DEBUG)
+ if (N > 3) {
+ std::cerr << "N = " << N << " fitted distance:";
+ for (i = begin; i != end; ++i) {
+ Vector p = adapt(*i);
+ std::cerr << " {" << p << "} " << distance(plane, p);
+ }
+ std::cerr << std::endl;
+ }
+#endif
+ return true;
+ }
+
+ bool planeIntersection(const Plane &a, const Plane &b, Ray &r);
+
+ IntersectionClass rayPlaneIntersection(const Plane &p,
+ const Vector &v1,
+ const Vector &v2,
+ Vector &v,
+ double &t);
+
+ IntersectionClass lineSegmentPlaneIntersection(const Plane &p,
+ const LineSegment &line,
+ Vector &v);
+
+ RayIntersectionClass rayRayIntersection(const Ray &r1,
+ const Ray &r2,
+ Vector &v1,
+ Vector &v2,
+ double &mu1,
+ double &mu2);
+
+
+
+ // test whether point d is above, below or on the plane formed by the triangle a,b,c.
+ // return: +ve = d is below a,b,c
+ // -ve = d is above a,b,c
+ // 0 = d is on a,b,c
+#if defined CARVE_USE_EXACT_PREDICATES
+ inline double orient3d(const Vector &a,
+ const Vector &b,
+ const Vector &c,
+ const Vector &d) {
+ return shewchuk::orient3d(a.v, b.v, c.v, d.v);
+ }
+#else
+ inline double orient3d(const Vector &a,
+ const Vector &b,
+ const Vector &c,
+ const Vector &d) {
+ return dotcross((a - d), (b - d), (c - d));
+ }
+#endif
+
+ // Volume of a tetrahedron described by 4 points. Will be
+ // positive if the anticlockwise normal of a,b,c is oriented out
+ // of the tetrahedron.
+ //
+ // see: http://mathworld.wolfram.com/Tetrahedron.html
+ inline double tetrahedronVolume(const Vector &a,
+ const Vector &b,
+ const Vector &c,
+ const Vector &d) {
+ return dotcross((a - d), (b - d), (c - d)) / 6.0;
+ }
+
+ /**
+ * \brief Determine whether p is internal to the wedge defined by
+ * the area between the planes defined by a,b,c and a,b,d
+ * angle abc, where ab is the apex of the angle.
+ *
+ * @param[in] a
+ * @param[in] b
+ * @param[in] c
+ * @param[in] d
+ * @param[in] p
+ *
+ * @return true, if p is contained in the wedge defined by the
+ * area between the planes defined by a,b,c and
+ * a,b,d. If the wedge is reflex, p is considered to
+ * be contained if it lies on either plane. Acute
+ * wdges do not contain p if p lies on either
+ * plane. This is so that internalToWedge(a,b,c,d,p) =
+ * !internalToWedge(a,b,d,c,p)
+ */
+ inline bool internalToWedge(const Vector &a,
+ const Vector &b,
+ const Vector &c,
+ const Vector &d,
+ const Vector &p) {
+ bool reflex = (c < d) ?
+ orient3d(a, b, c, d) >= 0.0 :
+ orient3d(a, b, d, c) < 0.0;
+
+ double d1 = orient3d(a, b, c, p);
+ double d2 = orient3d(a, b, d, p);
+
+ if (reflex) {
+ // above a,b,c or below a,b,d (or coplanar with either)
+ return d1 <= 0.0 || d2 >= 0.0;
+ } else {
+ // above a,b,c and below a,b,d
+ return d1 < 0.0 && d2 > 0.0;
+ }
+ }
+
+ /**
+ * \brief Determine the ordering relationship of a and b, when
+ * rotating around direction, starting from base.
+ *
+ * @param[in] adirection
+ * @param[in] base
+ * @param[in] a
+ * @param[in] b
+ *
+ * @return
+ * * -1, if a is ordered before b around, rotating about direction.
+ * * 0, if a and b are equal in angle.
+ * * +1, if a is ordered after b around, rotating about direction.
+ */
+ inline int compareAngles(const Vector &direction, const Vector &base, const Vector &a, const Vector &b) {
+ const double d1 = carve::geom3d::orient3d(carve::geom::VECTOR(0,0,0), direction, a, b);
+ const double d2 = carve::geom3d::orient3d(carve::geom::VECTOR(0,0,0), direction, base, a);
+ const double d3 = carve::geom3d::orient3d(carve::geom::VECTOR(0,0,0), direction, base, b);
+
+ // CASE: a and b are coplanar wrt. direction.
+ if (d1 == 0.0) {
+ // a and b point in the same direction.
+ if (dot(a, b) > 0.0) {
+ // Neither is less than the other.
+ return 0;
+ }
+
+ // a and b point in opposite directions.
+ // * if d2 < 0.0, a is above plane(direction, base) and is less
+ // than b.
+ // * if d2 == 0.0 a is coplanar with plane(direction, base) and is
+ // less than b if it points in the same direction as base.
+ // * if d2 > 0.0, a is below plane(direction, base) and is greater
+ // than b.
+
+ if (d2 == 0.0) { return dot(a, base) > 0.0 ? -1 : +1; }
+ if (d3 == 0.0) { return dot(b, base) > 0.0 ? +1 : -1; }
+ if (d2 < 0.0 && d3 > 0.0) return -1;
+ if (d2 > 0.0 && d3 < 0.0) return +1;
+
+ // both a and b are to one side of plane(direction, base) -
+ // rounding error (if a and b are truly coplanar with
+ // direction, one should be above, and one should be below any
+ // other plane that is not itself coplanar with
+ // plane(direction, a|b) - which would imply d2 and d3 == 0.0).
+
+ // If both are below plane(direction, base) then the one that
+ // points in the same direction as base is greater.
+ // If both are above plane(direction, base) then the one that
+ // points in the same direction as base is lesser.
+ if (d2 > 0.0) { return dot(a, base) > 0.0 ? +1 : -1; }
+ else { return dot(a, base) > 0.0 ? -1 : +1; }
+ }
+
+ // CASE: a and b are not coplanar wrt. direction
+
+ if (d2 < 0.0) {
+ // if a is above plane(direction,base), then a is less than b if
+ // b is below plane(direction,base) or b is above plane(direction,a)
+ return (d3 > 0.0 || d1 < 0.0) ? -1 : +1;
+ } else if (d2 == 0.0) {
+ // if a is on plane(direction,base) then a is less than b if a
+ // points in the same direction as base, or b is below
+ // plane(direction,base)
+ return (dot(a, base) > 0.0 || d3 > 0.0) ? -1 : +1;
+ } else {
+ // if a is below plane(direction,base), then a is less than b if b
+ // is below plane(direction,base) and b is above plane(direction,a)
+ return (d3 > 0.0 && d1 < 0.0) ? -1 : +1;
+ }
+ }
+
+ // The anticlockwise angle from vector "from" to vector "to", oriented around the vector "orient".
+ static inline double antiClockwiseAngle(const Vector &from, const Vector &to, const Vector &orient) {
+ double dp = dot(from, to);
+ Vector cp = cross(from, to);
+ if (cp.isZero()) {
+ if (dp < 0) {
+ return M_PI;
+ } else {
+ return 0.0;
+ }
+ } else {
+ if (dot(cp, orient) > 0.0) {
+ return acos(dp);
+ } else {
+ return M_TWOPI - acos(dp);
+ }
+ }
+ }
+
+
+
+ static inline double antiClockwiseOrdering(const Vector &from, const Vector &to, const Vector &orient) {
+ double dp = dot(from, to);
+ Vector cp = cross(from, to);
+ if (cp.isZero()) {
+ if (dp < 0) {
+ return 2.0;
+ } else {
+ return 0.0;
+ }
+ } else {
+ if (dot(cp, orient) > 0.0) {
+ // 1..-1 -> 0..2
+ return 1.0 - dp;
+ } else {
+ // -1..1 -> 2..4
+ return dp + 1.0;
+ }
+ }
+ }
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/geom_impl.hpp b/extern/carve/include/carve/geom_impl.hpp
new file mode 100644
index 00000000000..4463ba2bd88
--- /dev/null
+++ b/extern/carve/include/carve/geom_impl.hpp
@@ -0,0 +1,651 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/math.hpp>
+
+namespace carve {
+ namespace geom {
+
+
+
+ template<unsigned ndim>
+ double vector<ndim>::length2() const { return dot(*this, *this); }
+ template<unsigned ndim>
+ double vector<ndim>::length() const { return sqrt(dot(*this, *this)); }
+
+ template<unsigned ndim>
+ vector<ndim> &vector<ndim>::normalize() { *this /= length(); return *this; }
+ template<unsigned ndim>
+ vector<ndim> vector<ndim>::normalized() const { return *this / length(); }
+
+ template<unsigned ndim>
+ bool vector<ndim>::exactlyZero() const {
+ for (unsigned i = 0; i < ndim; ++i) if (this->v[i]) return false;
+ return true;
+ }
+ template<unsigned ndim>
+ bool vector<ndim>::isZero(double epsilon) const {
+ return length2() < epsilon * epsilon;
+ }
+
+ template<unsigned ndim>
+ void vector<ndim>::setZero() { for (size_t i = 0; i < ndim; ++i) this->v[i] = 0.0; }
+
+ template<unsigned ndim>
+ void vector<ndim>::fill(double val) { for (size_t i = 0; i < ndim; ++i) this->v[i] = val; }
+
+ template<unsigned ndim>
+ vector<ndim> &vector<ndim>::scaleBy(double d) { for (unsigned i = 0; i < ndim; ++i) this->v[i] *= d; return *this; }
+ template<unsigned ndim>
+ vector<ndim> &vector<ndim>::invscaleBy(double d) { for (unsigned i = 0; i < ndim; ++i) this->v[i] /= d; return *this; }
+
+ template<unsigned ndim>
+ vector<ndim> vector<ndim>::scaled(double d) const { return *this * d; }
+ template<unsigned ndim>
+ vector<ndim> vector<ndim>::invscaled(double d) const { return *this / d; }
+
+ template<unsigned ndim>
+ vector<ndim> &vector<ndim>::negate() { for (unsigned i = 0; i < ndim; ++i) this->v[i] = -this->v[i]; return *this; }
+ template<unsigned ndim>
+ vector<ndim> vector<ndim>::negated() const { return -*this; }
+
+ template<unsigned ndim>
+ double &vector<ndim>::operator[](unsigned i) { return this->v[i]; }
+ template<unsigned ndim>
+ const double &vector<ndim>::operator[](unsigned i) const { return this->v[i]; }
+
+ template<unsigned ndim>
+ template<typename assign_t>
+ vector<ndim> &vector<ndim>::operator=(const assign_t &t) {
+ for (unsigned i = 0; i < ndim; ++i) this->v[i] = t[i];
+ return *this;
+ }
+
+ template<unsigned ndim>
+ std::string vector<ndim>::asStr() const {
+ std::ostringstream out;
+ out << '<';
+ out << std::setprecision(24);
+ for (unsigned i = 0; i < ndim; ++i) { if (i) out << ','; out << this->v[i]; }
+ out << '>';
+ return out.str();
+ }
+
+
+
+ template<unsigned ndim>
+ vector<ndim> operator+(const vector<ndim> &a, const vector<ndim> &b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] + b[i];
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> operator+(const vector<ndim> &a, double b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] + b;
+ return c;
+ }
+
+ template<unsigned ndim, typename val_t>
+ vector<ndim> operator+(const vector<ndim> &a, const val_t &b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] + b[i];
+ return c;
+ }
+
+ template<unsigned ndim, typename val_t>
+ vector<ndim> operator+(const val_t &a, const vector<ndim> &b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] + b[i];
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> &operator+=(vector<ndim> &a, const vector<ndim> &b) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] += b[i];
+ return a;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> &operator+=(vector<ndim> &a, double b) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] += b;
+ return a;
+ }
+
+ template<unsigned ndim, typename val_t>
+ vector<ndim> &operator+=(vector<ndim> &a, const val_t &b) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] += b[i];
+ return a;
+ }
+
+
+
+ template<unsigned ndim>
+ vector<ndim> operator-(const vector<ndim> &a) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = -a[i];
+ return c;
+ }
+
+
+
+ template<unsigned ndim>
+ vector<ndim> operator-(const vector<ndim> &a, double b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] - b;
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> operator-(const vector<ndim> &a, const vector<ndim> &b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] - b[i];
+ return c;
+ }
+
+ template<unsigned ndim, typename val_t>
+ vector<ndim> operator-(const vector<ndim> &a, const val_t &b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] - b[i];
+ return c;
+ }
+
+ template<unsigned ndim, typename val_t>
+ vector<ndim> operator-(const val_t &a, const vector<ndim> &b) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] - b[i];
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> &operator-=(vector<ndim> &a, const vector<ndim> &b) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] -= b[i];
+ return a;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> &operator-=(vector<ndim> &a, double b) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] -= b;
+ return a;
+ }
+
+ template<unsigned ndim, typename val_t>
+ vector<ndim> &operator-=(vector<ndim> &a, const val_t &b) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] -= b[i];
+ return a;
+ }
+
+
+
+ template<unsigned ndim>
+ vector<ndim> operator*(const vector<ndim> &a, double s) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] * s;
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> operator*(double s, const vector<ndim> &a) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] * s;
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> &operator*=(vector<ndim> &a, double s) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] *= s;
+ return a;
+ }
+
+
+
+ template<unsigned ndim>
+ vector<ndim> operator/(const vector<ndim> &a, double s) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = a[i] / s;
+ return c;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> &operator/=(vector<ndim> &a, double s) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] /= s;
+ return a;
+ }
+
+
+
+ template<unsigned ndim>
+ bool operator==(const vector<ndim> &a, const vector<ndim> &b) {
+ for (unsigned i = 0; i < ndim; ++i) { if (a[i] != b[i]) return false; }
+ return true;
+ }
+
+ template<unsigned ndim>
+ bool operator!=(const vector<ndim> &a, const vector<ndim> &b) {
+ return !(a == b);
+ }
+
+ template<unsigned ndim>
+ bool operator<(const vector<ndim> &a, const vector<ndim> &b) {
+ for (unsigned i = 0; i < ndim; ++i) { if (a[i] < b[i]) return true; if (a[i] > b[i]) return false; }
+ return false;
+ }
+
+ template<unsigned ndim>
+ bool operator<=(const vector<ndim> &a, const vector<ndim> &b) {
+ return !(b < a);
+ }
+
+ template<unsigned ndim>
+ bool operator>(const vector<ndim> &a, const vector<ndim> &b) {
+ return b < a;
+ }
+
+ template<unsigned ndim>
+ bool operator>=(const vector<ndim> &a, const vector<ndim> &b) {
+ return !(a < b);
+ }
+
+
+
+ template<unsigned ndim>
+ vector<ndim> abs(const vector<ndim> &a) {
+ vector<ndim> c(NOINIT);
+ for (unsigned i = 0; i < ndim; ++i) c[i] = fabs(a[i]);
+ return c;
+ }
+
+ template<unsigned ndim>
+ double distance2(const vector<ndim> &a, const vector<ndim> &b) {
+ return (b - a).length2();
+ }
+
+ template<unsigned ndim>
+ double distance(const vector<ndim> &a, const vector<ndim> &b) {
+ return (b - a).length();
+ }
+
+ template<unsigned ndim>
+ bool equal(const vector<ndim> &a, const vector<ndim> &b) {
+ return (b - a).isZero();
+ }
+
+ template<unsigned ndim>
+ int smallestAxis(const vector<ndim> &a) {
+ int x = 0;
+ double y = fabs(a[0]);
+ for (unsigned i = 1; i < ndim; ++i) {
+ double z = fabs(a[i]);
+ if (z <= y) { y = z; x = i; }
+ }
+ return x;
+ }
+
+ template<unsigned ndim>
+ int largestAxis(const vector<ndim> &a) {
+ int x = 0;
+ double y = fabs(a[0]);
+ for (unsigned i = 1; i < ndim; ++i) {
+ double z = fabs(a[i]);
+ if (z > y) { y = z; x = i; }
+ }
+ return x;
+ }
+
+ template<unsigned ndim>
+ vector<2> select(const vector<ndim> &a, int a1, int a2) {
+ vector<2> r(NOINIT);
+ r.v[0] = a.v[a1]; r.v[1] = a.v[a2];
+ return r;
+ }
+
+ template<unsigned ndim>
+ vector<3> select(const vector<ndim> &a, int a1, int a2, int a3) {
+ vector<3> r(NOINIT);
+ r.v[0] = a.v[a1]; r.v[1] = a.v[a2]; r.v[2] = a.v[a3];
+ return r;
+ }
+
+ template<unsigned ndim, typename assign_t, typename oper_t>
+ vector<ndim> &assign_op(vector<ndim> &a, const assign_t &t, oper_t op) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] = op(t[i]);
+ return a;
+ }
+
+ template<unsigned ndim, typename assign1_t, typename assign2_t, typename oper_t>
+ vector<ndim> &assign_op(vector<ndim> &a, const assign1_t &t1, const assign2_t &t2, oper_t op) {
+ for (unsigned i = 0; i < ndim; ++i) a[i] = op(t1[i], t2[i]);
+ return a;
+ }
+
+ template<unsigned ndim, typename iter_t>
+ void bounds(iter_t begin, iter_t end, vector<ndim> &min, vector<ndim> &max) {
+ if (begin == end) {
+ min.setZero();
+ max.setZero();
+ } else {
+ min = max = *begin;
+ while (++begin != end) {
+ vector<ndim> v = *begin;
+ assign_op(min, min, v, carve::util::min_functor());
+ assign_op(max, max, v, carve::util::max_functor());
+ }
+ }
+ }
+
+ template<unsigned ndim, typename iter_t, typename adapt_t>
+ void bounds(iter_t begin, iter_t end, adapt_t adapt, vector<ndim> &min, vector<ndim> &max) {
+ if (begin == end) {
+ min.setZero();
+ max.setZero();
+ } else {
+ min = max = adapt(*begin);
+ while (++begin != end) {
+ vector<ndim> v = adapt(*begin);
+ assign_op(min, min, v, carve::util::min_functor());
+ assign_op(max, max, v, carve::util::max_functor());
+ }
+ }
+ }
+
+ template<unsigned ndim, typename iter_t, typename adapt_t>
+ void centroid(iter_t begin, iter_t end, adapt_t adapt, vector<ndim> &c) {
+ c.setZero();
+ int n = 0;
+ while (begin != end) { c += adapt(*begin++); ++n; }
+ c /= double(n);
+ }
+
+ template<unsigned ndim, typename val_t>
+ double dot(const vector<ndim> &a, const val_t &b) {
+ double r = 0.0;
+ for (unsigned i = 0; i < ndim; ++i) r += a[i] * b[i];
+ return r;
+ }
+
+ static inline vector<3> cross(const vector<3> &a, const vector<3> &b) {
+ // Compute a x b
+ return VECTOR(+(a.y * b.z - a.z * b.y),
+ -(a.x * b.z - a.z * b.x),
+ +(a.x * b.y - a.y * b.x));
+ }
+
+ static inline double cross(const vector<2> &a, const vector<2> &b) {
+ // Compute a x b
+ return a.x * b.y - b.x * a.y;
+ }
+
+ static inline double dotcross(const vector<3> &a, const vector<3> &b, const vector<3> &c) {
+ // Compute a . (b x c)
+ return
+ (a.x * b.y * c.z + a.y * b.z * c.x + a.z * b.x * c.y) -
+ (a.x * b.z * c.y + a.y * b.x * c.z + a.z * b.y * c.x);
+ }
+
+
+
+ template<unsigned ndim>
+ double distance(const axis_pos &a, const vector<ndim> &b) {
+ return fabs(b[a.axis] - a.pos);
+ }
+
+ template<unsigned ndim>
+ double distance2(const axis_pos &a, const vector<ndim> &b) {
+ double r = fabs(b[a.axis] - a.pos);
+ return r * r;
+ }
+
+ template<unsigned ndim> bool operator<(const axis_pos &a, const vector<ndim> &b) { return a.pos < b[a.axis]; }
+ template<unsigned ndim> bool operator<(const vector<ndim> &a, const axis_pos &b) { return a[b.axis] < b.pos; }
+
+ template<unsigned ndim> bool operator<=(const axis_pos &a, const vector<ndim> &b) { return a.pos <= b[a.axis]; }
+ template<unsigned ndim> bool operator<=(const vector<ndim> &a, const axis_pos &b) { return a[b.axis] <= b.pos; }
+
+ template<unsigned ndim> bool operator>(const axis_pos &a, const vector<ndim> &b) { return a.pos > b[a.axis]; }
+ template<unsigned ndim> bool operator>(const vector<ndim> &a, const axis_pos &b) { return a[b.axis] > b.pos; }
+
+ template<unsigned ndim> bool operator>=(const axis_pos &a, const vector<ndim> &b) { return a.pos >= b[a.axis]; }
+ template<unsigned ndim> bool operator>=(const vector<ndim> &a, const axis_pos &b) { return a[b.axis] >= b.pos; }
+
+ template<unsigned ndim> bool operator==(const axis_pos &a, const vector<ndim> &b) { return a.pos == b[a.axis]; }
+ template<unsigned ndim> bool operator==(const vector<ndim> &a, const axis_pos &b) { return a[b.axis] == b.pos; }
+
+ template<unsigned ndim> bool operator!=(const axis_pos &a, const vector<ndim> &b) { return a.pos != b[a.axis]; }
+ template<unsigned ndim> bool operator!=(const vector<ndim> &a, const axis_pos &b) { return a[b.axis] != b.pos; }
+
+
+
+ template<unsigned ndim>
+ bool ray<ndim>::OK() const {
+ return !D.isZero();
+ }
+
+ template<unsigned ndim>
+ ray<ndim> rayThrough(const vector<ndim> &a, const vector<ndim> &b) {
+ return ray<ndim>(b - a, a);
+ }
+
+ static inline double distance2(const ray<3> &r, const vector<3> &v) {
+ return cross(r.D, v - r.v).length2() / r.D.length2();
+ }
+
+ static inline double distance(const ray<3> &r, const vector<3> &v) {
+ return sqrt(distance2(r, v));
+ }
+
+ static inline double distance2(const ray<2> &r, const vector<2> &v) {
+ double t = cross(r.D, v - r.v);
+ return (t * t) / r.D.length2();
+ }
+
+ static inline double distance(const ray<2> &r, const vector<2> &v) {
+ return sqrt(distance2(r, v));
+ }
+
+
+
+ template<unsigned ndim>
+ void linesegment<ndim>::update() {
+ midpoint = (v2 + v1) / 2.0;
+ half_length = (v2 - v1) / 2.0;
+ }
+
+ template<unsigned ndim>
+ bool linesegment<ndim>::OK() const {
+ return !half_length.isZero();
+ }
+
+ template<unsigned ndim>
+ void linesegment<ndim>::flip() {
+ std::swap(v1, v2);
+ half_length = (v2 - v1) / 2.0;
+ }
+
+ template<unsigned ndim>
+ aabb<ndim> linesegment<ndim>::getAABB() const {
+ aabb<ndim> r;
+ r.fit(v1, v2);
+ return r;
+ }
+
+ template<unsigned ndim>
+ linesegment<ndim>::linesegment(const vector_t &_v1, const vector_t &_v2) : v1(_v1), v2(_v2) {
+ update();
+ }
+
+
+
+ template<unsigned ndim>
+ double distance2(const linesegment<ndim> &l, const vector<ndim> &v) {
+ vector<ndim> D = l.v2 - l.v1;
+ double t = dot(v - l.v1, D) / dot(D, D);
+ if (t <= 0.0) return (v - l.v1).length2();
+ if (t >= 1.0) return (v - l.v2).length2();
+ vector<ndim> vc = D * t + l.v1;
+ return (v - vc).length2();
+ }
+
+ template<unsigned ndim>
+ double distance(const linesegment<ndim> &l, const vector<ndim> &v) {
+ return sqrt(distance2(l, v));
+ }
+
+
+ template<unsigned ndim>
+ void plane<ndim>::negate() {
+ N.negate();
+ d = -d;
+ }
+
+ template<unsigned ndim>
+ plane<ndim>::plane() {
+ N.setZero();
+ N[0] = 1.0;
+ d= 0.0;
+ }
+
+ template<unsigned ndim>
+ plane<ndim>::plane(const vector_t &_N, vector_t _p) : N(_N), d(-dot(_p, _N)) {
+ }
+
+ template<unsigned ndim>
+ plane<ndim>::plane(const vector_t &_N, double _d) : N(_N), d(_d) {
+ }
+
+
+
+ template<unsigned ndim>
+ plane<ndim> operator-(const plane<ndim> &p) {
+ return plane<ndim>(-p.N, -p.d);
+ }
+
+ template<unsigned ndim, typename val_t>
+ double distance(const plane<ndim> &plane, const val_t &point) {
+ return dot(plane.N, point) + plane.d;
+ }
+
+ template<unsigned ndim, typename val_t>
+ double distance2(const plane<ndim> &plane, const val_t &point) {
+ double d = distance(plane, point);
+ return d * d;
+ }
+
+ template<unsigned ndim>
+ vector<ndim> closestPoint(const plane<ndim> &p, const vector<ndim> &v) {
+ return v - p.N * (p.d + dot(p.N, v)) / dot(p.N, p.N);
+ }
+
+
+
+ template<unsigned ndim>
+ aabb<ndim> sphere<ndim>::getAABB() const {
+ aabb<ndim> r;
+ r.fit(C - r, C + r);
+ }
+
+ template<unsigned ndim>
+ sphere<ndim>::sphere() {
+ C.setZero();
+ r = 1.0;
+ }
+
+ template<unsigned ndim>
+ sphere<ndim>::sphere(const vector_t &_C, double _r) : C(_C), r(_r) {
+ }
+
+
+
+ template<unsigned ndim, typename val_t>
+ double distance(const sphere<ndim> &sphere, const val_t &point) {
+ return std::max(0.0, distance(sphere.C, point) - sphere.r);
+ }
+
+ template<unsigned ndim, typename val_t>
+ double distance2(const sphere<ndim> &sphere, const val_t &point) {
+ return std::max(0.0, distance2(sphere.C, point) - sphere.r * sphere.r);
+ }
+
+ template<unsigned ndim>
+ vector<ndim> closestPoint(const sphere<ndim> &sphere, const vector<ndim> &point) {
+ return (point - sphere.C).normalized() * sphere.r;
+ }
+
+
+
+ template<unsigned ndim>
+ aabb<ndim> tri<ndim>::getAABB() const {
+ aabb<ndim> aabb;
+ aabb.fit(v[0], v[1], v[2]);
+ return aabb;
+ }
+
+ template<unsigned ndim>
+ tri<ndim>::tri(vector_t _v[3]) {
+ std::copy(v, v+3, _v);
+ }
+
+ template<unsigned ndim>
+ tri<ndim>::tri(const vector_t &a, const vector_t &b, const vector_t &c) {
+ v[0] = a;
+ v[1] = b;
+ v[2] = c;
+ }
+
+
+
+ template<unsigned ndim>
+ std::ostream &operator<<(std::ostream &o, const vector<ndim> &v) {
+ o << v.asStr();
+ return o;
+ }
+
+ template<unsigned ndim>
+ std::ostream &operator<<(std::ostream &o, const carve::geom::plane<ndim> &p) {
+ o << p.N << ";" << p.d;
+ return o;
+ }
+
+ template<unsigned ndim>
+ std::ostream &operator<<(std::ostream &o, const carve::geom::sphere<ndim> &sphere) {
+ o << "{sphere " << sphere.C << ";" << sphere.r << "}";
+ return o;
+ }
+
+ template<unsigned ndim>
+ std::ostream &operator<<(std::ostream &o, const carve::geom::tri<ndim> &tri) {
+ o << "{tri " << tri.v[0] << ";" << tri.v[1] << ";" << tri.v[2] << "}";
+ return o;
+ }
+
+
+
+ template<unsigned ndim>
+ double distance(const tri<ndim> &tri, const vector<ndim> &pt) {
+ return distance(closestPoint(tri, pt), pt);
+ }
+
+
+
+ template<unsigned ndim>
+ double distance2(const tri<ndim> &tri, const vector<ndim> &pt) {
+ return distance2(closestPoint(tri, pt), pt);
+ }
+ }
+}
diff --git a/extern/carve/include/carve/gnu_cxx.h b/extern/carve/include/carve/gnu_cxx.h
new file mode 100644
index 00000000000..280fa360478
--- /dev/null
+++ b/extern/carve/include/carve/gnu_cxx.h
@@ -0,0 +1,4 @@
+// Copyright 2006 Tobias Sargeant (toby@permuted.net)
+// All rights reserved.
+
+#pragma once
diff --git a/extern/carve/include/carve/heap.hpp b/extern/carve/include/carve/heap.hpp
new file mode 100644
index 00000000000..20bdcf003e5
--- /dev/null
+++ b/extern/carve/include/carve/heap.hpp
@@ -0,0 +1,425 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+namespace carve {
+ namespace heap {
+ namespace detail {
+
+
+
+ struct ignore_position_t {
+ template<typename value_t>
+ void operator()(value_t &val, size_t idx) const {}
+ };
+
+
+
+ template<typename random_access_iter_t,
+ typename distance_t,
+ typename value_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void _adjust_heap(random_access_iter_t begin,
+ distance_t pos,
+ distance_t len,
+ value_t val,
+ pred_t pred,
+ pos_notifier_t notify) {
+ const distance_t top = pos;
+
+ distance_t child = pos * 2 + 2;
+ while (child < len) {
+ if (pred(begin[child], begin[child - 1])) child--;
+
+ begin[pos] = begin[child];
+ notify(begin[pos], pos);
+ pos = child;
+ child = pos * 2 + 2;
+ }
+
+ if (child == len) {
+ child--;
+ begin[pos] = begin[child];
+ notify(begin[pos], pos);
+ pos = child;
+ }
+
+ distance_t parent = (pos - 1) / 2;
+ while (pos > top && pred(begin[parent], val)) {
+ begin[pos] = begin[parent];
+ notify(begin[pos], pos);
+ pos = parent;
+ parent = (pos - 1) / 2;
+ }
+
+ begin[pos] = val;
+ notify(begin[pos], pos);
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename distance_t,
+ typename value_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void _push_heap(random_access_iter_t begin,
+ distance_t pos,
+ value_t val,
+ pred_t pred,
+ pos_notifier_t notify) {
+ distance_t parent = (pos - 1) / 2;
+ while (pos > 0 && pred(begin[parent], val)) {
+ begin[pos] = begin[parent];
+ notify(begin[pos], pos);
+ pos = parent;
+ parent = (pos - 1) / 2;
+ }
+ begin[pos] = val;
+ notify(begin[pos], pos);
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename distance_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void _remove_heap(random_access_iter_t begin,
+ distance_t pos,
+ distance_t len,
+ pred_t pred,
+ pos_notifier_t notify) {
+ --len;
+ if (pos != len) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+ value_t removed = begin[pos];
+ _adjust_heap(begin, pos, len, begin[len], pred, notify);
+ begin[len] = removed;
+ notify(begin[len], len);
+ }
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename distance_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void _make_heap(random_access_iter_t begin,
+ distance_t len,
+ pred_t pred,
+ pos_notifier_t notify) {
+ for (distance_t pos = len / 2; pos > 0; ) {
+ --pos;
+ _adjust_heap(begin, pos, len, begin[pos], pred, ignore_position_t());
+ }
+ for (distance_t pos = 0; pos < len; ++pos) {
+ notify(begin[pos], pos);
+ }
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename distance_t,
+ typename pred_t>
+ void _make_heap(random_access_iter_t begin,
+ distance_t len,
+ pred_t pred,
+ ignore_position_t) {
+ for (distance_t pos = len / 2; pos > 0; ) {
+ --pos;
+ _adjust_heap(begin, pos, len, begin[pos], pred, ignore_position_t());
+ }
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename distance_t,
+ typename pred_t>
+ bool _is_heap(random_access_iter_t begin,
+ distance_t len,
+ pred_t pred) {
+ distance_t parent = 0;
+
+ for (distance_t child = 1; child < len; ++child) {
+ if (pred(begin[parent], begin[child])) {
+ return false;
+ }
+ if (++child == len) break;
+ if (pred(begin[parent], begin[child])) {
+ return false;
+ }
+ ++parent;
+ }
+
+ return true;
+ }
+
+
+
+ }
+
+
+
+ template<typename random_access_iter_t>
+ void adjust_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ random_access_iter_t pos) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+
+ detail::_adjust_heap(begin, pos - begin, end - begin, *pos, std::less<value_t>());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t>
+ void adjust_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ random_access_iter_t pos,
+ pred_t pred) {
+ detail::_adjust_heap(begin, pos - begin, end - begin, *pos, pred);
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void adjust_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ random_access_iter_t pos,
+ pred_t pred,
+ pos_notifier_t notify) {
+ detail::_adjust_heap(begin, pos - begin, end - begin, *pos, pred, notify);
+ }
+
+
+
+ template<typename random_access_iter_t>
+ void remove_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ random_access_iter_t pos) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+
+ detail::_remove_heap(begin, pos - begin, end - begin, std::less<value_t>(), detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t>
+ void remove_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ random_access_iter_t pos,
+ pred_t pred) {
+ detail::_remove_heap(begin, pos - begin, end - begin, pred, detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void remove_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ random_access_iter_t pos,
+ pred_t pred,
+ pos_notifier_t notify) {
+ detail::_remove_heap(begin, pos - begin, end - begin, pred, notify);
+ }
+
+
+
+ template<typename random_access_iter_t>
+ void pop_heap(random_access_iter_t begin,
+ random_access_iter_t end) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ detail::_remove_heap(begin, distance_t(0), end - begin, std::less<value_t>(), detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t>
+ void pop_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ detail::_remove_heap(begin, distance_t(0), end - begin, pred, detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void pop_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred,
+ pos_notifier_t notify) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ detail::_remove_heap(begin, distance_t(0), end - begin, pred, notify);
+ }
+
+
+
+ template<typename random_access_iter_t>
+ void push_heap(random_access_iter_t begin,
+ random_access_iter_t end) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ distance_t pos = end - begin - 1;
+ detail::_push_heap(begin, pos, begin[pos], std::less<value_t>(), detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t>
+ void push_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ distance_t pos = end - begin - 1;
+ detail::_push_heap(begin, pos, begin[pos], pred, detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void push_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred,
+ pos_notifier_t notify) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ distance_t pos = end - begin - 1;
+ detail::_push_heap(begin, pos, begin[pos], pred, notify);
+ }
+
+
+
+ template<typename random_access_iter_t>
+ void make_heap(random_access_iter_t begin,
+ random_access_iter_t end) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+
+ detail::_make_heap(begin, end - begin, std::less<value_t>(), detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t>
+ void make_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred) {
+ detail::_make_heap(begin, end - begin, pred, detail::ignore_position_t());
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void make_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred,
+ pos_notifier_t notify) {
+ detail::_make_heap(begin, end - begin, pred, notify);
+ }
+
+
+
+ template<typename random_access_iter_t>
+ bool is_heap(random_access_iter_t begin,
+ random_access_iter_t end) {
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+
+ return detail::_is_heap(begin, end - begin, std::less<value_t>());
+ }
+
+
+
+ template<typename random_access_iter_t, typename pred_t>
+ bool is_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred) {
+ return detail::_is_heap(begin, end - begin, pred);
+ }
+
+
+
+ template<typename random_access_iter_t>
+ void sort_heap(random_access_iter_t begin,
+ random_access_iter_t end) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+ typedef typename std::iterator_traits<random_access_iter_t>::value_type value_t;
+
+ for (distance_t len = end - begin; len > 1; --len) {
+ detail::_remove_heap(begin, distance_t(0), len, std::less<value_t>(), detail::ignore_position_t());
+ }
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t>
+ void sort_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ for (distance_t len = end - begin; len > 1; --len) {
+ detail::_remove_heap(begin, distance_t(0), len, pred, detail::ignore_position_t());
+ }
+ }
+
+
+
+ template<typename random_access_iter_t,
+ typename pred_t,
+ typename pos_notifier_t>
+ void sort_heap(random_access_iter_t begin,
+ random_access_iter_t end,
+ pred_t pred,
+ pos_notifier_t notify) {
+ typedef typename std::iterator_traits<random_access_iter_t>::difference_type distance_t;
+
+ for (distance_t len = end - begin; len > 1; --len) {
+ detail::_remove_heap(begin, distance_t(0), len, pred, detail::ignore_position_t());
+ notify(begin[len], len);
+ }
+ notify(begin[0], 0);
+ }
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/input.hpp b/extern/carve/include/carve/input.hpp
new file mode 100644
index 00000000000..a8bc8137d6c
--- /dev/null
+++ b/extern/carve/include/carve/input.hpp
@@ -0,0 +1,251 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/poly.hpp>
+#include <carve/mesh.hpp>
+#include <carve/polyline.hpp>
+#include <carve/pointset.hpp>
+
+
+
+namespace carve {
+ namespace input {
+
+ struct Data {
+ Data() {
+ }
+
+ virtual ~Data() {
+ }
+
+ virtual void transform(const carve::math::Matrix & /* transform */) {
+ }
+ };
+
+
+
+ struct VertexData : public Data {
+ std::vector<carve::geom3d::Vector> points;
+
+ VertexData() : Data() {
+ }
+
+ virtual ~VertexData() {
+ }
+
+ virtual void transform(const carve::math::Matrix &transform) {
+ for (size_t i = 0; i < points.size(); ++i) {
+ points[i] *= transform;
+ }
+ }
+
+ size_t addVertex(carve::geom3d::Vector point) {
+ size_t index = points.size();
+ points.push_back(point);
+ return index;
+ }
+
+ inline void reserveVertices(int count) {
+ points.reserve(count);
+ }
+
+ size_t getVertexCount() const {
+ return points.size();
+ }
+
+ const carve::geom3d::Vector &getVertex(int index) const {
+ return points[index];
+ }
+ };
+
+
+
+ struct PolyhedronData : public VertexData {
+ std::vector<int> faceIndices;
+ int faceCount;
+
+ PolyhedronData() : VertexData(), faceIndices(), faceCount(0) {
+ }
+
+ virtual ~PolyhedronData() {
+ }
+
+ void reserveFaces(int count, int avgFaceSize) {
+ faceIndices.reserve(faceIndices.size() + count * (1 + avgFaceSize));
+ }
+
+ int getFaceCount() const {
+ return faceCount;
+ }
+
+ template <typename Iter>
+ void addFace(Iter begin, Iter end) {
+ size_t n = std::distance(begin, end);
+ faceIndices.reserve(faceIndices.size() + n + 1);
+ faceIndices.push_back(n);
+ std::copy(begin, end, std::back_inserter(faceIndices));
+ ++faceCount;
+ }
+
+ void addFace(int a, int b, int c) {
+ faceIndices.push_back(3);
+ faceIndices.push_back(a);
+ faceIndices.push_back(b);
+ faceIndices.push_back(c);
+ ++faceCount;
+ }
+
+ void addFace(int a, int b, int c, int d) {
+ faceIndices.push_back(4);
+ faceIndices.push_back(a);
+ faceIndices.push_back(b);
+ faceIndices.push_back(c);
+ faceIndices.push_back(d);
+ ++faceCount;
+ }
+
+ void clearFaces() {
+ faceIndices.clear();
+ faceCount = 0;
+ }
+
+ carve::poly::Polyhedron *create() const {
+ return new carve::poly::Polyhedron(points, faceCount, faceIndices);
+ }
+
+ carve::mesh::MeshSet<3> *createMesh() const {
+ return new carve::mesh::MeshSet<3>(points, faceCount, faceIndices);
+ }
+ };
+
+
+
+ struct PolylineSetData : public VertexData {
+ typedef std::pair<bool, std::vector<int> > polyline_data_t;
+ std::list<polyline_data_t> polylines;
+
+ PolylineSetData() : VertexData(), polylines() {
+ }
+
+ virtual ~PolylineSetData() {
+ }
+
+ void beginPolyline(bool closed = false) {
+ polylines.push_back(std::make_pair(closed, std::vector<int>()));
+ }
+
+ void reservePolyline(size_t len) {
+ polylines.back().second.reserve(len);
+ }
+
+ void addPolylineIndex(int idx) {
+ polylines.back().second.push_back(idx);
+ }
+
+ carve::line::PolylineSet *create() const {
+ carve::line::PolylineSet *p = new carve::line::PolylineSet(points);
+
+ for (std::list<polyline_data_t>::const_iterator i = polylines.begin();
+ i != polylines.end();
+ ++i) {
+ p->addPolyline((*i).first, (*i).second.begin(), (*i).second.end());
+ }
+ return p;
+ }
+ };
+
+
+
+ struct PointSetData : public VertexData {
+
+ PointSetData() : VertexData() {
+ }
+
+ virtual ~PointSetData() {
+ }
+
+ carve::point::PointSet *create() const {
+ carve::point::PointSet *p = new carve::point::PointSet(points);
+ return p;
+ }
+ };
+
+
+
+ class Input {
+ public:
+ std::list<Data *> input;
+
+ Input() {
+ }
+
+ ~Input() {
+ for (std::list<Data *>::iterator i = input.begin(); i != input.end(); ++i) {
+ delete (*i);
+ }
+ }
+
+ void addDataBlock(Data *data) {
+ input.push_back(data);
+ }
+
+ void transform(const carve::math::Matrix &transform) {
+ if (transform == carve::math::Matrix::IDENT()) return;
+ for (std::list<Data *>::iterator i = input.begin(); i != input.end(); ++i) {
+ (*i)->transform(transform);
+ }
+ }
+
+ template<typename T>
+ static inline T *create(Data *d) {
+ return NULL;
+ }
+ };
+
+ template<>
+ inline carve::mesh::MeshSet<3> *Input::create(Data *d) {
+ PolyhedronData *p = dynamic_cast<PolyhedronData *>(d);
+ if (p == NULL) return NULL;
+ return p->createMesh();
+ }
+
+ template<>
+ inline carve::poly::Polyhedron *Input::create(Data *d) {
+ PolyhedronData *p = dynamic_cast<PolyhedronData *>(d);
+ if (p == NULL) return NULL;
+ return p->create();
+ }
+
+ template<>
+ inline carve::line::PolylineSet *Input::create(Data *d) {
+ PolylineSetData *p = dynamic_cast<PolylineSetData *>(d);
+ if (p == NULL) return NULL;
+ return p->create();
+ }
+
+ template<>
+ inline carve::point::PointSet *Input::create(Data *d) {
+ PointSetData *p = dynamic_cast<PointSetData *>(d);
+ if (p == NULL) return NULL;
+ return p->create();
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/interpolator.hpp b/extern/carve/include/carve/interpolator.hpp
new file mode 100644
index 00000000000..e1555105435
--- /dev/null
+++ b/extern/carve/include/carve/interpolator.hpp
@@ -0,0 +1,332 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/geom2d.hpp>
+#include <carve/poly.hpp>
+#include <carve/mesh.hpp>
+#include <carve/csg.hpp>
+
+namespace carve {
+ namespace interpolate {
+
+ static inline std::vector<double> polyInterpolate(const std::vector<carve::geom2d::P2> &s,
+ const carve::geom2d::P2 &v) {
+ // see hormann et al. 2006
+ const size_t SZ = s.size();
+ std::vector<double> r;
+ std::vector<double> A;
+ std::vector<double> D;
+
+ std::vector<double> result;
+
+ r.resize(SZ);
+ A.resize(SZ);
+ D.resize(SZ);
+
+ result.resize(SZ, 0.0);
+
+ for (size_t i = 0; i < SZ; ++i) {
+ size_t i2 = (i + 1) % SZ;
+ carve::geom2d::P2 si = s[i] - v;
+ carve::geom2d::P2 si2 = s[i2] - v;
+
+ r[i] = sqrt(dot(si, si));
+ A[i] = cross(si, si2) / 2.0;
+ D[i] = dot(si, si2);
+ if (fabs(r[i]) < 1e-16) {
+ result[i] = 1.0;
+ return result;
+ } else if (fabs(A[i]) < 1e-16 && D[i] < 0.0) {
+ double r2 = sqrt(dot(si2, si2));
+ result[i2] = r[i] / (r[i] + r2);
+ result[i] = r2 / (r[i] + r2);
+ return result;
+ }
+ }
+
+ double w_sum = 0.0;
+
+ for (size_t i = 0; i < SZ; ++i) {
+ size_t i_m = (i + SZ - 1) % SZ;
+ size_t i_p = (i + 1) % SZ;
+
+ double w = 0.0;
+ if (fabs(A[i_m]) > 1e-16)
+ w += (r[i_m] - D[i_m] / r[i]) / A[i_m];
+ if (fabs(A[i]) > 1e-16)
+ w += (r[i_p] - D[i] / r[i]) / A[i];
+
+ result[i] = w;
+ w_sum += w;
+ }
+
+ for (size_t i = 0; i < SZ; ++i) {
+ result[i] /= w_sum;
+ }
+
+// carve::geom2d::P2 test;
+// for (size_t i = 0; i < SZ; ++i) {
+// test = test + result[i] * s[i];
+// }
+
+ return result;
+ }
+
+ template<typename iter_t,
+ typename adapt_t,
+ typename val_t,
+ typename mod_t>
+ val_t interp(iter_t begin,
+ iter_t end,
+ adapt_t adapt,
+ const std::vector<val_t> &vals,
+ double x,
+ double y,
+ mod_t mod = mod_t()) {
+ std::vector<carve::geom2d::P2> s;
+ s.reserve(std::distance(begin, end));
+ std::transform(begin, end, std::back_inserter(s), adapt);
+ std::vector<double> weight = polyInterpolate(s, carve::geom::VECTOR(x, y));
+
+ val_t v;
+ for (size_t z = 0; z < weight.size(); z++) {
+ v += weight[z] * vals[z];
+ }
+
+ return mod(v);
+ }
+
+ template<typename iter_t,
+ typename adapt_t,
+ typename val_t>
+ val_t interp(iter_t begin,
+ iter_t end,
+ adapt_t adapt,
+ const std::vector<val_t> &vals,
+ double x,
+ double y) {
+ return interp(begin, end, adapt, vals, x, y, identity_t<val_t>());
+ }
+
+ template<typename vertex_t,
+ typename adapt_t,
+ typename val_t,
+ typename mod_t>
+ val_t interp(const std::vector<vertex_t> &poly,
+ adapt_t adapt,
+ const std::vector<val_t> &vals,
+ double x,
+ double y,
+ mod_t mod = mod_t()) {
+ return interp(poly.begin(), poly.end(), adapt, vals, x, y, mod);
+ }
+
+ template<typename vertex_t,
+ typename adapt_t,
+ typename val_t>
+ val_t interp(const std::vector<vertex_t> &poly,
+ adapt_t adapt,
+ const std::vector<val_t> &vals,
+ double x,
+ double y) {
+ return interp(poly.begin(), poly.end(), adapt, vals, x, y, identity_t<val_t>());
+ }
+
+ template<typename val_t,
+ typename mod_t>
+ val_t interp(const std::vector<carve::geom2d::P2> &poly,
+ const std::vector<val_t> &vals,
+ double x,
+ double y,
+ mod_t mod = mod_t()) {
+ std::vector<double> weight = polyInterpolate(poly, carve::geom::VECTOR(x, y));
+
+ val_t v;
+ for (size_t z = 0; z < weight.size(); z++) {
+ v += weight[z] * vals[z];
+ }
+
+ return mod(v);
+ }
+
+ template<typename val_t>
+ val_t interp(const std::vector<carve::geom2d::P2> &poly,
+ const std::vector<val_t> &vals,
+ double x,
+ double y) {
+ return interp(poly, vals, x, y, identity_t<val_t>());
+ }
+
+ class Interpolator {
+ public:
+ virtual void interpolate(const carve::mesh::MeshSet<3>::face_t *new_face,
+ const carve::mesh::MeshSet<3>::face_t *orig_face,
+ bool flipped) =0;
+
+ Interpolator() {
+ }
+
+ virtual ~Interpolator() {
+ }
+
+ class Hook : public carve::csg::CSG::Hook {
+ Interpolator *interpolator;
+ public:
+ virtual void resultFace(const carve::mesh::MeshSet<3>::face_t *new_face,
+ const carve::mesh::MeshSet<3>::face_t *orig_face,
+ bool flipped) {
+ interpolator->interpolate(new_face, orig_face, flipped);
+ }
+
+ Hook(Interpolator *_interpolator) : interpolator(_interpolator) {
+ }
+
+ virtual ~Hook() {
+ }
+ };
+
+ void installHooks(carve::csg::CSG &csg) {
+ csg.hooks.registerHook(new Hook(this), carve::csg::CSG::Hooks::RESULT_FACE_BIT);
+ }
+ };
+
+ template<typename attr_t>
+ class FaceVertexAttr : public Interpolator {
+
+ protected:
+ struct fv_hash {
+ size_t operator()(const std::pair<const carve::mesh::MeshSet<3>::face_t *, unsigned> &v) const {
+ return size_t(v.first) ^ size_t(v.second);
+ }
+ };
+
+ typedef std::unordered_map<const carve::mesh::MeshSet<3>::vertex_t *, attr_t> attrvmap_t;
+ typedef std::unordered_map<std::pair<const carve::mesh::MeshSet<3>::face_t *, unsigned>, attr_t, fv_hash> attrmap_t;
+
+ attrmap_t attrs;
+
+ public:
+ bool hasAttribute(const carve::mesh::MeshSet<3>::face_t *f, unsigned v) {
+ return attrs.find(std::make_pair(f, v)) != attrs.end();
+ }
+
+ attr_t getAttribute(const carve::mesh::MeshSet<3>::face_t *f, unsigned v, const attr_t &def = attr_t()) {
+ typename attrmap_t::const_iterator fv = attrs.find(std::make_pair(f, v));
+ if (fv != attrs.end()) {
+ return (*fv).second;
+ }
+ return def;
+ }
+
+ void setAttribute(const carve::mesh::MeshSet<3>::face_t *f, unsigned v, const attr_t &attr) {
+ attrs[std::make_pair(f, v)] = attr;
+ }
+
+ virtual void interpolate(const carve::mesh::MeshSet<3>::face_t *new_face,
+ const carve::mesh::MeshSet<3>::face_t *orig_face,
+ bool flipped) {
+ std::vector<attr_t> vertex_attrs;
+ attrvmap_t base_attrs;
+ vertex_attrs.reserve(orig_face->nVertices());
+
+ for (carve::mesh::MeshSet<3>::face_t::const_edge_iter_t e = orig_face->begin(); e != orig_face->end(); ++e) {
+ typename attrmap_t::const_iterator a = attrs.find(std::make_pair(orig_face, e.idx()));
+ if (a == attrs.end()) return;
+ vertex_attrs.push_back((*a).second);
+ base_attrs[e->vert] = vertex_attrs.back();
+ }
+
+ for (carve::mesh::MeshSet<3>::face_t::const_edge_iter_t e = new_face->begin(); e != new_face->end(); ++e) {
+ const carve::mesh::MeshSet<3>::vertex_t *vertex = e->vert;
+ typename attrvmap_t::const_iterator b = base_attrs.find(vertex);
+ if (b != base_attrs.end()) {
+ attrs[std::make_pair(new_face, e.idx())] = (*b).second;
+ } else {
+ carve::geom2d::P2 p = orig_face->project(e->vert->v);
+ attr_t attr = interp(orig_face->begin(),
+ orig_face->end(),
+ orig_face->projector(),
+ vertex_attrs,
+ p.x,
+ p.y);
+ attrs[std::make_pair(new_face, e.idx())] = attr;
+ }
+ }
+ }
+
+ FaceVertexAttr() : Interpolator() {
+ }
+
+ virtual ~FaceVertexAttr() {
+ }
+
+ };
+
+
+ template<typename attr_t>
+ class FaceAttr : public Interpolator {
+
+ protected:
+ struct f_hash {
+ size_t operator()(const carve::mesh::MeshSet<3>::face_t * const &f) const {
+ return size_t(f);
+ }
+ };
+
+ typedef std::unordered_map<const carve::mesh::MeshSet<3>::face_t *, attr_t, f_hash> attrmap_t;
+
+ attrmap_t attrs;
+
+ public:
+ bool hasAttribute(const carve::mesh::MeshSet<3>::face_t *f) {
+ return attrs.find(f) != attrs.end();
+ }
+
+ attr_t getAttribute(const carve::mesh::MeshSet<3>::face_t *f, const attr_t &def = attr_t()) {
+ typename attrmap_t::const_iterator i = attrs.find(f);
+ if (i != attrs.end()) {
+ return (*i).second;
+ }
+ return def;
+ }
+
+ void setAttribute(const carve::mesh::MeshSet<3>::face_t *f, const attr_t &attr) {
+ attrs[f] = attr;
+ }
+
+ virtual void interpolate(const carve::mesh::MeshSet<3>::face_t *new_face,
+ const carve::mesh::MeshSet<3>::face_t *orig_face,
+ bool flipped) {
+ typename attrmap_t::const_iterator i = attrs.find(orig_face);
+ if (i != attrs.end()) {
+ attrs[new_face] = (*i).second;
+ }
+ }
+
+ FaceAttr() : Interpolator() {
+ }
+
+ virtual ~FaceAttr() {
+ }
+
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/intersection.hpp b/extern/carve/include/carve/intersection.hpp
new file mode 100644
index 00000000000..1862a366abb
--- /dev/null
+++ b/extern/carve/include/carve/intersection.hpp
@@ -0,0 +1,267 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/collection_types.hpp>
+#include <carve/iobj.hpp>
+
+namespace carve {
+ namespace csg {
+
+ /**
+ * \class Intersections
+ * \brief Storage for computed intersections between vertices, edges and faces.
+ *
+ */
+ struct Intersections : public std::unordered_map<IObj, IObjVMapSmall, IObj_hash> {
+ typedef carve::mesh::MeshSet<3>::vertex_t vertex_t;
+ typedef carve::mesh::MeshSet<3>::edge_t edge_t;
+ typedef carve::mesh::MeshSet<3>::face_t face_t;
+
+ typedef std::unordered_map<IObj, IObjVMapSmall, IObj_hash> super;
+
+ ~Intersections() {
+ }
+
+ /**
+ * \brief Record the position of intersection between a pair of intersection objects.
+ *
+ * @param a The first intersecting object.
+ * @param b The second intersecting object.
+ * @param p The point of intersection.
+ */
+ void record(IObj a, IObj b, vertex_t *p) {
+ if (a > b) std::swap(a, b);
+ (*this)[a][b] = p;
+ (*this)[b][a] = p;
+ }
+
+ /**
+ * \brief Test whether vertex \a v intersects face \a f.
+ *
+ * @param v The vertex to test.
+ * @param f The face to test.
+ *
+ * @return true, if \a v intersects \a f.
+ */
+ bool intersectsFace(vertex_t *v, face_t *f) const;
+
+ /**
+ * \brief Collect sets of vertices, edges and faces that intersect \a obj
+ *
+ * @param[in] obj The intersection object to search for intersections.
+ * @param[out] collect_v A vector of vertices intersecting \a obj.
+ * @param[out] collect_e A vector of edges intersecting \a obj.
+ * @param[out] collect_f A vector of faces intersecting \a obj.
+ */
+ void collect(const IObj &obj,
+ std::vector<vertex_t *> *collect_v,
+ std::vector<edge_t *> *collect_e,
+ std::vector<face_t *> *collect_f) const;
+
+
+ /**
+ * \brief Determine whether two intersection objects intersect.
+ *
+ * @param a The first intersection object.
+ * @param b The second intersection object.
+ *
+ * @return true, if \a a and \a b intersect.
+ */
+ bool intersectsExactly(const IObj &a, const IObj &b) {
+ Intersections::const_iterator i = find(a);
+ if (i == end()) return false;
+ return i->second.find(b) != i->second.end();
+ }
+
+ /**
+ * \brief Determine whether an intersection object intersects a vertex.
+ *
+ * @param a The intersection object.
+ * @param v The vertex.
+ *
+ * @return true, if \a a and \a v intersect.
+ */
+ bool intersects(const IObj &a, vertex_t *v) {
+ Intersections::const_iterator i = find(a);
+ if (i == end()) return false;
+ if (i->second.find(v) != i->second.end()) return true;
+ return false;
+ }
+
+ /**
+ * \brief Determine whether an intersection object intersects an edge.
+ *
+ * @param a The intersection object.
+ * @param e The edge.
+ *
+ * @return true, if \a a and \a e intersect (either on the edge,
+ * or at either endpoint).
+ */
+ bool intersects(const IObj &a, edge_t *e) {
+ Intersections::const_iterator i = find(a);
+ if (i == end()) return false;
+ for (super::data_type::const_iterator j = i->second.begin(); j != i->second.end(); ++j) {
+ const IObj &obj = j->first;
+ switch (obj.obtype) {
+ case IObj::OBTYPE_VERTEX:
+ if (obj.vertex == e->v1() || obj.vertex == e->v2()) return true;
+ break;
+ case IObj::OBTYPE_EDGE:
+ if (obj.edge == e) return true;
+ break;
+ default:
+ break;
+ }
+ }
+ return false;
+ }
+
+ /**
+ * \brief Determine whether an intersection object intersects a face.
+ *
+ * @param a The intersection object.
+ * @param f The face.
+ *
+ * @return true, if \a a and \a f intersect (either on the face,
+ * or at any associated edge or vertex).
+ */
+ bool intersects(const IObj &a, face_t *f) {
+ Intersections::const_iterator i = find(a);
+ if (i == end()) return false;
+ if (i->second.find(f) != i->second.end()) return true;
+ edge_t *e = f->edge;
+ do {
+ if (i->second.find(e) != i->second.end()) return true;
+ if (i->second.find(e->vert) != i->second.end()) return true;
+ e = e->next;
+ } while (e != f->edge);
+ return false;
+ }
+
+ /**
+ * \brief Determine whether an edge intersects another edge.
+ *
+ * @param e The edge.
+ * @param f The face.
+ *
+ * @return true, if \a e and \a f intersect.
+ */
+ bool intersects(edge_t *e1, edge_t *e2) {
+ if (intersects(e1->v1(), e2) || intersects(e1->v2(), e2) || intersects(IObj(e1), e2)) return true;
+ return false;
+ }
+
+ /**
+ * \brief Determine whether an edge intersects a face.
+ *
+ * @param e The edge.
+ * @param f The face.
+ *
+ * @return true, if \a e and \a f intersect.
+ */
+ bool intersects(edge_t *e, face_t *f) {
+ if (intersects(e->v1(), f) || intersects(e->v2(), f) || intersects(IObj(e), f)) return true;
+ return false;
+ }
+
+ /**
+ * \brief Determine the faces intersected by an edge.
+ *
+ * @tparam face_set_t A collection type holding face_t *
+ * @param[in] e The edge.
+ * @param[out] f The resulting set of faces.
+ */
+ template<typename face_set_t>
+ void intersectedFaces(edge_t *e, face_set_t &f) const {
+ std::vector<face_t *> intersected_faces;
+ std::vector<edge_t *> intersected_edges;
+ std::vector<vertex_t *> intersected_vertices;
+
+ collect(e, &intersected_vertices, &intersected_edges, &intersected_faces);
+
+ for (unsigned i = 0; i < intersected_vertices.size(); ++i) {
+ facesForVertex(intersected_vertices[i], f);
+ }
+ for (unsigned i = 0; i < intersected_edges.size(); ++i) {
+ facesForEdge(intersected_edges[i], f);
+ }
+ f.insert(intersected_faces.begin(), intersected_faces.end());
+ }
+
+ /**
+ * \brief Determine the faces intersected by a vertex.
+ *
+ * @tparam face_set_t A collection type holding face_t *
+ * @param[in] v The vertex.
+ * @param[out] f The resulting set of faces.
+ */
+ template<typename face_set_t>
+ void intersectedFaces(vertex_t *v, face_set_t &f) const {
+ std::vector<face_t *> intersected_faces;
+ std::vector<edge_t *> intersected_edges;
+ std::vector<vertex_t *> intersected_vertices;
+
+ collect(v, &intersected_vertices, &intersected_edges, &intersected_faces);
+
+ for (unsigned i = 0; i < intersected_vertices.size(); ++i) {
+ facesForVertex(intersected_vertices[i], f);
+ }
+ for (unsigned i = 0; i < intersected_edges.size(); ++i) {
+ facesForEdge(intersected_edges[i], f);
+ }
+ f.insert(intersected_faces.begin(), intersected_faces.end());
+ }
+
+ /**
+ * \brief Collect the set of faces that contain all vertices in \a verts.
+ *
+ * @tparam vertex_set_t A collection type holding vertex_t *
+ * @tparam face_set_t A collection type holding face_t *
+ * @param[in] verts A set of vertices.
+ * @param[out] result The resulting set of faces.
+ */
+ template<typename vertex_set_t, typename face_set_t>
+ void commonFaces(const vertex_set_t &verts, face_set_t &result) {
+
+ std::set<face_t *> ifaces, temp, out;
+ typename vertex_set_t::const_iterator i = verts.begin();
+ if (i == verts.end()) return;
+ intersectedFaces((*i), ifaces);
+ while (++i != verts.end()) {
+ temp.clear();
+ intersectedFaces((*i), temp);
+
+ out.clear();
+ std::set_intersection(temp.begin(), temp.end(),
+ ifaces.begin(), ifaces.end(),
+ set_inserter(out));
+ ifaces.swap(out);
+ }
+ std::copy(ifaces.begin(), ifaces.end(), set_inserter(result));
+ }
+
+ void clear() {
+ super::clear();
+ }
+
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/iobj.hpp b/extern/carve/include/carve/iobj.hpp
new file mode 100644
index 00000000000..13d88ec820b
--- /dev/null
+++ b/extern/carve/include/carve/iobj.hpp
@@ -0,0 +1,106 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+namespace carve {
+ namespace csg {
+ struct IObj {
+ enum {
+ OBTYPE_NONE = 0,
+ OBTYPE_VERTEX = 1,
+ OBTYPE_EDGE = 2,
+ OBTYPE_FACE = 4
+ } obtype;
+
+ union {
+ carve::mesh::MeshSet<3>::vertex_t *vertex;
+ carve::mesh::MeshSet<3>::edge_t *edge;
+ carve::mesh::MeshSet<3>::face_t *face;
+ intptr_t val;
+ };
+
+ IObj() : obtype(OBTYPE_NONE), val(0) { }
+ IObj(carve::mesh::MeshSet<3>::vertex_t *v) : obtype(OBTYPE_VERTEX), vertex(v) { }
+ IObj(carve::mesh::MeshSet<3>::edge_t *e) : obtype(OBTYPE_EDGE), edge(e) { }
+ IObj(carve::mesh::MeshSet<3>::face_t *f) : obtype(OBTYPE_FACE), face(f) { }
+ char typeChar() const { return "NVExF"[obtype]; }
+ };
+
+
+
+ struct IObj_hash {
+ inline size_t operator()(const IObj &i) const {
+ return (size_t)i.val;
+ }
+ inline size_t operator()(const std::pair<const IObj, const IObj> &i) const {
+ return (size_t)i.first.val ^ (size_t)i.second.val;
+ }
+ };
+
+
+
+ typedef std::unordered_set<std::pair<const IObj, const IObj>, IObj_hash> IObjPairSet;
+
+ typedef std::unordered_map<IObj, carve::mesh::MeshSet<3>::vertex_t *, IObj_hash> IObjVMap;
+ typedef std::map<IObj, carve::mesh::MeshSet<3>::vertex_t *> IObjVMapSmall;
+
+ class VertexIntersections :
+ public std::unordered_map<carve::mesh::MeshSet<3>::vertex_t *, IObjPairSet> {
+ };
+
+
+
+ static inline bool operator==(const carve::csg::IObj &a, const carve::csg::IObj &b) {
+ return a.obtype == b.obtype && a.val == b.val;
+ }
+
+ static inline bool operator!=(const carve::csg::IObj &a, const carve::csg::IObj &b) {
+ return a.obtype != b.obtype || a.val != b.val;
+ }
+
+ static inline bool operator<(const carve::csg::IObj &a, const carve::csg::IObj &b) {
+ return a.obtype < b.obtype || (a.obtype == b.obtype && a.val < b.val);
+ }
+
+ static inline bool operator<=(const carve::csg::IObj &a, const carve::csg::IObj &b) {
+ return a.obtype < b.obtype || (a.obtype == b.obtype && a.val <= b.val);
+ }
+
+ static inline bool operator>(const carve::csg::IObj &a, const carve::csg::IObj &b) {
+ return a.obtype > b.obtype || (a.obtype == b.obtype && a.val > b.val);
+ }
+
+ static inline bool operator>=(const carve::csg::IObj &a, const carve::csg::IObj &b) {
+ return a.obtype > b.obtype || (a.obtype == b.obtype && a.val >= b.val);
+ }
+
+ static inline std::ostream &operator<<(std::ostream &o, const carve::csg::IObj &a) {
+ switch (a.obtype) {
+ case carve::csg::IObj::OBTYPE_NONE: o << "NONE{}"; break;
+ case carve::csg::IObj::OBTYPE_VERTEX: o << "VERT{" << a.vertex << "}"; break;
+ case carve::csg::IObj::OBTYPE_EDGE: o << "EDGE{" << a.edge << "}"; break;
+ case carve::csg::IObj::OBTYPE_FACE: o << "FACE{" << a.face << "}"; break;
+ }
+ return o;
+ }
+
+ }
+}
+
diff --git a/extern/carve/include/carve/kd_node.hpp b/extern/carve/include/carve/kd_node.hpp
new file mode 100644
index 00000000000..f62584d50c2
--- /dev/null
+++ b/extern/carve/include/carve/kd_node.hpp
@@ -0,0 +1,308 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/geom.hpp>
+#include <carve/aabb.hpp>
+
+#include <queue>
+#include <list>
+#include <limits>
+
+namespace carve {
+ namespace geom {
+ template<unsigned ndim,
+ typename data_t,
+ typename inserter_t,
+ typename aabb_calc_t>
+ class kd_node {
+ kd_node(const kd_node &);
+ kd_node &operator=(const kd_node &);
+
+ public:
+ kd_node *c_neg;
+ kd_node *c_pos;
+ kd_node *parent;
+ axis_pos splitpos;
+
+ typedef vector<ndim> vector_t;
+ typedef std::list<data_t> container_t;
+
+ container_t data;
+
+ kd_node(kd_node *_parent = NULL) : c_neg(NULL), c_pos(NULL), parent(_parent), splitpos(0, 0.0) {
+ }
+
+ ~kd_node() {
+ if (c_neg) delete c_neg;
+ if (c_pos) delete c_pos;
+ }
+
+ template<typename visitor_t>
+ void closeNodes(const vector_t &p, double d, visitor_t &visit) const {
+ if (c_neg) {
+ double delta = splitpos.pos - p[splitpos.axis];
+ if (delta <= d) c_neg->closeNodes(p, d, visit);
+ if (delta >= -d) c_pos->closeNodes(p, d, visit);
+ } else {
+ visit(this);
+ }
+ }
+
+ void removeData(const data_t &d) {
+ typename container_t::iterator i = std::find(data.begin(), data.end(), d);
+
+ if (i != data.end()) {
+ data.erase(i);
+ }
+ }
+
+ void addData(const data_t &d) {
+ data.push_back(d);
+ }
+
+ void insert(const data_t &data, inserter_t &inserter) {
+ inserter.insert(this, data);
+ }
+
+ void insert(const data_t &data) {
+ inserter_t inserter;
+ insert(data, inserter);
+ }
+
+ void remove(const data_t &data, inserter_t &inserter) {
+ inserter.remove(this, data);
+ }
+
+ void remove(const data_t &data) {
+ inserter_t inserter;
+ remove(data, inserter);
+ }
+
+ carve::geom::aabb<ndim> nodeAABB() const {
+ carve::geom::aabb<ndim> aabb;
+ if (c_neg) {
+ aabb = c_neg->nodeAABB();
+ aabb.unionAABB(c_pos->nodeAABB());
+ } else {
+ if (data.size()) {
+ typename container_t::const_iterator i = data.begin();
+ aabb = aabb_calc_t()(*i);
+ while (i != data.end()) {
+ aabb.unionAABB(aabb_calc_t()(*i));
+ ++i;
+ }
+ }
+ }
+ return aabb;
+ }
+
+ bool split(axis_pos split_at, inserter_t &inserter) {
+ if (c_neg) {
+ // already split
+ return false;
+ }
+
+ c_neg = new kd_node(this);
+ c_pos = new kd_node(this);
+
+ // choose an axis and split point.
+ splitpos = split_at;
+
+ carve::geom::aabb<ndim> aabb;
+
+ if (splitpos.axis < 0 ||
+ splitpos.axis >= ndim ||
+ splitpos.pos == std::numeric_limits<double>::max()) {
+ // need an aabb
+ if (data.size()) {
+ typename container_t::const_iterator i = data.begin();
+ aabb = aabb_calc_t()(*i);
+ while (i != data.end()) {
+ aabb.unionAABB(aabb_calc_t()(*i));
+ ++i;
+ }
+ }
+ }
+
+ if (splitpos.axis < 0 || splitpos.axis >= ndim) {
+
+ // choose an axis;
+
+ // if no axis was specified, force calculation of the split position.
+ splitpos.pos = std::numeric_limits<double>::max();
+
+ // choose the axis of the AABB with the biggest extent.
+ splitpos.axis = largestAxis(aabb.extent);
+
+ if (parent && splitpos.axis == parent->splitpos.axis) {
+ // but don't choose the same axis as the parent node;
+ // choose the axis with the second greatest AABB extent.
+ double e = -1.0;
+ int a = -1;
+ for (unsigned i = 0; i < ndim; ++i) {
+ if (i == splitpos.axis) continue;
+ if (e < aabb.extent[i]) { a = i; e = aabb.extent[i]; }
+ }
+ if (a != -1) {
+ splitpos.axis = a;
+ }
+ }
+ }
+
+ if (splitpos.pos == std::numeric_limits<double>::max()) {
+ carve::geom::vector<ndim> min = aabb.min();
+ carve::geom::vector<ndim> max = aabb.max();
+ splitpos.pos = aabb.pos.v[splitpos.axis];
+ }
+
+ inserter.propagate(this);
+
+ return true;
+ }
+
+ bool split(axis_pos split_at = axis_pos(-1, std::numeric_limits<double>::max())) {
+ inserter_t inserter;
+ return split(split_at, inserter);
+ }
+
+ void splitn(int num, inserter_t &inserter) {
+ if (num <= 0) return;
+ if (!c_neg) {
+ split(inserter);
+ }
+ if (c_pos) c_pos->splitn(num-1, inserter);
+ if (c_neg) c_neg->splitn(num-1, inserter);
+ }
+
+ void splitn(int num) {
+ inserter_t inserter;
+ splitn(num, inserter);
+ }
+
+ template<typename split_t>
+ void splitn(int num, split_t splitter, inserter_t &inserter) {
+ if (num <= 0) return;
+ if (!c_neg) {
+ split(inserter, splitter(this));
+ }
+ if (c_pos) c_pos->splitn(num-1, inserter, splitter);
+ if (c_neg) c_neg->splitn(num-1, inserter, splitter);
+ }
+
+ template<typename split_t>
+ void splitn(int num, split_t splitter) {
+ inserter_t inserter;
+ splitn(num, splitter, inserter);
+ }
+
+ template<typename pred_t>
+ void splitpred(pred_t pred, inserter_t &inserter, int depth = 0) {
+ if (!c_neg) {
+ axis_pos splitpos(-1, std::numeric_limits<double>::max());
+ if (!pred(this, depth, splitpos)) return;
+ split(splitpos, inserter);
+ }
+ if (c_pos) c_pos->splitpred(pred, inserter, depth + 1);
+ if (c_neg) c_neg->splitpred(pred, inserter, depth + 1);
+ }
+
+ template<typename pred_t>
+ void splitpred(pred_t pred, int depth = 0) {
+ inserter_t inserter;
+ splitpred(pred, inserter, depth);
+ }
+
+ // distance_t must provide:
+ // double operator()(kd_node::data_t, vector<ndim>);
+ // double operator()(axis_pos, vector<ndim>);
+ template<typename distance_t>
+ struct near_point_query {
+
+ // q_t - the priority queue value type.
+ // q_t.first: distance from object to query point.
+ // q_t.second: pointer to object
+ typedef std::pair<double, const typename kd_node::data_t *> q_t;
+
+ // the queue priority should sort from smallest distance to largest, and on equal distance, by object pointer.
+ struct pcmp {
+ bool operator()(const q_t &a, const q_t &b) {
+ return (a.first > b.first) || ((a.first == b.first) && (a.second < b.second));
+ }
+ };
+
+ vector<ndim> point;
+ const kd_node *node;
+ std::priority_queue<q_t, std::vector<q_t>, pcmp> pq;
+
+ distance_t dist;
+ double dist_to_parent_split;
+
+ void addToPQ(kd_node *node) {
+ if (node->c_neg) {
+ addToPQ(node->c_neg);
+ addToPQ(node->c_pos);
+ } else {
+ for (typename kd_node::container_t::const_iterator i = node->data.begin(); i != node->data.end(); ++i) {
+ double d = dist((*i), point);
+ pq.push(std::make_pair(d, &(*i)));
+ }
+ }
+ }
+
+ const typename kd_node::data_t *next() {
+ while (1) {
+ if (pq.size()) {
+ q_t t = pq.top();
+ if (!node->parent || t.first < dist_to_parent_split) {
+ pq.pop();
+ return t.second;
+ }
+ }
+
+ if (!node->parent) return NULL;
+
+ if (node->parent->c_neg == node) {
+ addToPQ(node->parent->c_pos);
+ } else {
+ addToPQ(node->parent->c_neg);
+ }
+
+ node = node->parent;
+ dist_to_parent_split = dist(node->splitpos, point);
+ }
+ }
+
+ near_point_query(const vector<ndim> _point, const kd_node *_node) : point(_point), node(_node), pq(), dist() {
+ while (node->c_neg) {
+ node = (point[node->axis] < node->pos) ? node->c_neg : node->c_pos;
+ }
+ if (node->parent) {
+ dist_to_parent_split = dist(node->parent->splitpos, point);
+ } else {
+ dist_to_parent_split = HUGE_VAL;
+ }
+ addToPQ(node);
+ }
+ };
+
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/math.hpp b/extern/carve/include/carve/math.hpp
new file mode 100644
index 00000000000..ec9ff0a9663
--- /dev/null
+++ b/extern/carve/include/carve/math.hpp
@@ -0,0 +1,60 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/math_constants.hpp>
+
+#include <math.h>
+
+namespace carve {
+ namespace geom {
+ template<unsigned ndim> struct vector;
+ }
+}
+
+namespace carve {
+ namespace math {
+ struct Matrix3;
+ int cubic_roots(double c3, double c2, double c1, double c0, double *roots);
+
+ void eigSolveSymmetric(const Matrix3 &m,
+ double &l1, carve::geom::vector<3> &e1,
+ double &l2, carve::geom::vector<3> &e2,
+ double &l3, carve::geom::vector<3> &e3);
+
+ void eigSolve(const Matrix3 &m, double &l1, double &l2, double &l3);
+
+ static inline bool ZERO(double x) { return fabs(x) < carve::EPSILON; }
+
+ static inline double radians(double deg) { return deg * M_PI / 180.0; }
+ static inline double degrees(double rad) { return rad * 180.0 / M_PI; }
+
+ static inline double ANG(double x) {
+ return (x < 0) ? x + M_TWOPI : x;
+ }
+
+ template<typename T>
+ static inline const T &clamp(const T &val, const T &min, const T &max) {
+ if (val < min) return min;
+ if (val > max) return max;
+ return val;
+ }
+ }
+}
diff --git a/extern/carve/include/carve/math_constants.hpp b/extern/carve/include/carve/math_constants.hpp
new file mode 100644
index 00000000000..9d2c4fe0a46
--- /dev/null
+++ b/extern/carve/include/carve/math_constants.hpp
@@ -0,0 +1,33 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <math.h>
+
+#ifndef M_SQRT_3
+#define M_SQRT_3 1.73205080756887729352
+#endif
+
+#ifndef M_PI
+#define M_PI 3.14159265358979323846
+#endif
+
+#ifndef M_TWOPI
+#define M_TWOPI (M_PI + M_PI)
+#endif
+
diff --git a/extern/carve/include/carve/matrix.hpp b/extern/carve/include/carve/matrix.hpp
new file mode 100644
index 00000000000..feb0cd72b97
--- /dev/null
+++ b/extern/carve/include/carve/matrix.hpp
@@ -0,0 +1,262 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <cstring>
+
+#include <carve/carve.hpp>
+
+#include <carve/math.hpp>
+#include <carve/geom.hpp>
+
+namespace carve {
+ namespace math {
+
+ struct Quaternion {
+ double x, y, z, w;
+
+ Quaternion(double _x, double _y, double _z, double _w) : x(_x), y(_y), z(_z), w(_w) {
+ }
+
+ Quaternion(double angle, const carve::geom::vector<3> &axis) {
+ double s = axis.length();
+ if (!carve::math::ZERO(s)) {
+ double c = 1.0 / s;
+ double omega = -0.5 * angle;
+ s = sin(omega);
+ x = axis.x * c * s;
+ y = axis.y * c * s;
+ z = axis.z * c * s;
+ w = cos(omega);
+ normalize();
+ } else {
+ x = y = z = 0.0;
+ w = 1.0;
+ }
+ }
+
+ double lengthSquared() const {
+ return x * x + y * y + z * z + w * w;
+ }
+
+ double length() const {
+ return sqrt(lengthSquared());
+ }
+
+ Quaternion normalized() const {
+ return Quaternion(*this).normalize();
+ }
+
+ Quaternion &normalize() {
+ double l = length();
+ if (l == 0.0) {
+ x = 1.0; y = 0.0; z = 0.0; w = 0.0;
+ } else {
+ x /= l; y /= l; z /= l; w /= l;
+ }
+ return *this;
+ }
+ };
+
+ struct Matrix3 {
+ // access: .m[col][row], .v[col * 4 + row], ._cr
+ union {
+ double m[3][3];
+ double v[9];
+ struct {
+ // transposed
+ double _11, _12, _13;
+ double _21, _22, _23;
+ double _31, _32, _33;
+ };
+ };
+ Matrix3(double __11, double __21, double __31,
+ double __12, double __22, double __32,
+ double __13, double __23, double __33) {
+ // nb, args are row major, storage is column major.
+ _11 = __11; _12 = __12; _13 = __13;
+ _21 = __21; _22 = __22; _23 = __23;
+ _31 = __31; _32 = __32; _33 = __33;
+ }
+ Matrix3(double _m[3][3]) {
+ std::memcpy(m, _m, sizeof(m));
+ }
+ Matrix3(double _v[9]) {
+ std::memcpy(v, _v, sizeof(v));
+ }
+ Matrix3() {
+ _11 = 1.00; _12 = 0.00; _13 = 0.00;
+ _21 = 0.00; _22 = 1.00; _23 = 0.00;
+ _31 = 0.00; _32 = 0.00; _33 = 1.00;
+ }
+ };
+
+ struct Matrix {
+ // access: .m[col][row], .v[col * 4 + row], ._cr
+ union {
+ double m[4][4];
+ double v[16];
+ struct {
+ // transposed
+ double _11, _12, _13, _14;
+ double _21, _22, _23, _24;
+ double _31, _32, _33, _34;
+ double _41, _42 ,_43, _44;
+ };
+ };
+ Matrix(double __11, double __21, double __31, double __41,
+ double __12, double __22, double __32, double __42,
+ double __13, double __23, double __33, double __43,
+ double __14, double __24, double __34, double __44) {
+ // nb, args are row major, storage is column major.
+ _11 = __11; _12 = __12; _13 = __13; _14 = __14;
+ _21 = __21; _22 = __22; _23 = __23; _24 = __24;
+ _31 = __31; _32 = __32; _33 = __33; _34 = __34;
+ _41 = __41; _42 = __42; _43 = __43; _44 = __44;
+ }
+ Matrix(double _m[4][4]) {
+ std::memcpy(m, _m, sizeof(m));
+ }
+ Matrix(double _v[16]) {
+ std::memcpy(v, _v, sizeof(v));
+ }
+ Matrix() {
+ _11 = 1.00; _12 = 0.00; _13 = 0.00; _14 = 0.00;
+ _21 = 0.00; _22 = 1.00; _23 = 0.00; _24 = 0.00;
+ _31 = 0.00; _32 = 0.00; _33 = 1.00; _34 = 0.00;
+ _41 = 0.00; _42 = 0.00; _43 = 0.00; _44 = 1.00;
+ }
+
+ static Matrix ROT(const Quaternion &q) {
+ const double w = q.w;
+ const double x = q.x;
+ const double y = q.y;
+ const double z = q.z;
+ return Matrix(1 - 2*y*y - 2*z*z, 2*x*y - 2*z*w, 2*x*z + 2*y*w, 0.0,
+ 2*x*y + 2*z*w, 1 - 2*x*x - 2*z*z, 2*y*z - 2*x*w, 0.0,
+ 2*x*z - 2*y*w, 2*y*z + 2*x*w, 1 - 2*x*x - 2*y*y, 0.0,
+ 0.0, 0.0, 0.0, 1.0);
+ }
+ static Matrix ROT(double angle, const carve::geom::vector<3> &axis) {
+ return ROT(Quaternion(angle, axis));
+ }
+ static Matrix ROT(double angle, double x, double y, double z) {
+ return ROT(Quaternion(angle, carve::geom::VECTOR(x, y, z)));
+ }
+ static Matrix TRANS(double x, double y, double z) {
+ return Matrix(1.0, 0.0, 0.0, x,
+ 0.0, 1.0, 0.0, y,
+ 0.0, 0.0, 1.0, z,
+ 0.0, 0.0, 0.0, 1.0);
+ }
+ static Matrix TRANS(const carve::geom::vector<3> &v) {
+ return TRANS(v.x, v.y, v.z);
+ }
+ static Matrix SCALE(double x, double y, double z) {
+ return Matrix(x, 0.0, 0.0, 0.0,
+ 0.0, y, 0.0, 0.0,
+ 0.0, 0.0, z, 0.0,
+ 0.0, 0.0, 0.0, 1.0);
+ }
+ static Matrix SCALE(const carve::geom::vector<3> &v) {
+ return SCALE(v.x, v.y, v.z);
+ }
+ static Matrix IDENT() {
+ return Matrix(1.0, 0.0, 0.0, 0.0,
+ 0.0, 1.0, 0.0, 0.0,
+ 0.0, 0.0, 1.0, 0.0,
+ 0.0, 0.0, 0.0, 1.0);
+ }
+ };
+
+ static inline bool operator==(const Matrix &A, const Matrix &B) {
+ for (size_t i = 0; i < 16; ++i) if (A.v[i] != B.v[i]) return false;
+ return true;
+ }
+ static inline bool operator!=(const Matrix &A, const Matrix &B) {
+ return !(A == B);
+ }
+ static inline carve::geom::vector<3> operator*(const Matrix &A, const carve::geom::vector<3> &b) {
+ return carve::geom::VECTOR(
+ A._11 * b.x + A._21 * b.y + A._31 * b.z + A._41,
+ A._12 * b.x + A._22 * b.y + A._32 * b.z + A._42,
+ A._13 * b.x + A._23 * b.y + A._33 * b.z + A._43
+ );
+ }
+
+ static inline carve::geom::vector<3> &operator*=(carve::geom::vector<3> &b, const Matrix &A) {
+ b = A * b;
+ return b;
+ }
+
+ static inline carve::geom::vector<3> operator*(const Matrix3 &A, const carve::geom::vector<3> &b) {
+ return carve::geom::VECTOR(
+ A._11 * b.x + A._21 * b.y + A._31 * b.z,
+ A._12 * b.x + A._22 * b.y + A._32 * b.z,
+ A._13 * b.x + A._23 * b.y + A._33 * b.z
+ );
+ }
+
+ static inline carve::geom::vector<3> &operator*=(carve::geom::vector<3> &b, const Matrix3 &A) {
+ b = A * b;
+ return b;
+ }
+
+ static inline Matrix operator*(const Matrix &A, const Matrix &B) {
+ Matrix c;
+ for (int i = 0; i < 4; i++) {
+ for (int j = 0; j < 4; j++) {
+ c.m[i][j] = 0.0;
+ for (int k = 0; k < 4; k++) {
+ c.m[i][j] += A.m[k][j] * B.m[i][k];
+ }
+ }
+ }
+ return c;
+ }
+
+ static inline Matrix3 operator*(const Matrix3 &A, const Matrix3 &B) {
+ Matrix3 c;
+ for (int i = 0; i < 3; i++) {
+ for (int j = 0; j < 3; j++) {
+ c.m[i][j] = 0.0;
+ for (int k = 0; k < 3; k++) {
+ c.m[i][j] += A.m[k][j] * B.m[i][k];
+ }
+ }
+ }
+ return c;
+ }
+
+
+
+ struct matrix_transformation {
+ Matrix matrix;
+
+ matrix_transformation(const Matrix &_matrix) : matrix(_matrix) {
+ }
+
+ carve::geom::vector<3> operator()(const carve::geom::vector<3> &vector) const {
+ return matrix * vector;
+ }
+ };
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/mesh.hpp b/extern/carve/include/carve/mesh.hpp
new file mode 100644
index 00000000000..d4170e55133
--- /dev/null
+++ b/extern/carve/include/carve/mesh.hpp
@@ -0,0 +1,845 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/tag.hpp>
+#include <carve/djset.hpp>
+#include <carve/aabb.hpp>
+#include <carve/rtree.hpp>
+
+#include <iostream>
+
+namespace carve {
+ namespace poly {
+ class Polyhedron;
+ }
+
+ namespace mesh {
+
+
+ template<unsigned ndim> class Edge;
+ template<unsigned ndim> class Face;
+ template<unsigned ndim> class Mesh;
+ template<unsigned ndim> class MeshSet;
+
+
+
+ // A Vertex may participate in several meshes. If the Mesh belongs
+ // to a MeshSet, then the vertices come from the vertex_storage
+ // member of the MeshSet. This allows one to construct one or more
+ // Meshes out of sets of connected faces (possibly using vertices
+ // from a variety of MeshSets, and other storage), then create a
+ // MeshSet from the Mesh(es), causing the vertices to be
+ // collected, cloned and repointed into the MeshSet.
+
+ // Normally, in a half-edge structure, Vertex would have a member
+ // pointing to an incident edge, allowing the enumeration of
+ // adjacent faces and edges. Because we want to support vertex
+ // sharing between Meshes and groups of Faces, this is made more
+ // complex. If Vertex contained a list of incident edges, one from
+ // each disjoint face set, then this could be done (with the
+ // caveat that you'd need to pass in a Mesh pointer to the
+ // adjacency queries). However, it seems that this would
+ // unavoidably complicate the process of incorporating or removing
+ // a vertex into an edge.
+
+ // In most cases it is expected that a vertex will be arrived at
+ // via an edge or face in the mesh (implicit or explicit) of
+ // interest, so not storing this information will not hurt,
+ // overly.
+ template<unsigned ndim>
+ class Vertex : public tagable {
+ public:
+ typedef carve::geom::vector<ndim> vector_t;
+ typedef MeshSet<ndim> owner_t;
+ typedef carve::geom::aabb<ndim> aabb_t;
+
+ carve::geom::vector<ndim> v;
+
+ Vertex(const vector_t &_v) : tagable(), v(_v) {
+ }
+
+ Vertex() : tagable(), v() {
+ }
+
+ aabb_t getAABB() const {
+ return aabb_t(v, carve::geom::vector<ndim>::ZERO());
+ }
+ };
+
+
+
+ struct hash_vertex_pair {
+ template<unsigned ndim>
+ size_t operator()(const std::pair<Vertex<ndim> *, Vertex<ndim> *> &pair) const {
+ size_t r = (size_t)pair.first;
+ size_t s = (size_t)pair.second;
+ return r ^ ((s >> 16) | (s << 16));
+ }
+ template<unsigned ndim>
+ size_t operator()(const std::pair<const Vertex<ndim> *, const Vertex<ndim> *> &pair) const {
+ size_t r = (size_t)pair.first;
+ size_t s = (size_t)pair.second;
+ return r ^ ((s >> 16) | (s << 16));
+ }
+ };
+
+
+
+ struct vertex_distance {
+ template<unsigned ndim>
+ double operator()(const Vertex<ndim> &a, const Vertex<ndim> &b) const {
+ return carve::geom::distance(a.v, b.v);
+ }
+
+ template<unsigned ndim>
+ double operator()(const Vertex<ndim> *a, const Vertex<ndim> *b) const {
+ return carve::geom::distance(a->v, b->v);
+ }
+ };
+
+
+
+ namespace detail {
+ template<typename list_t> struct list_iter_t;
+ template<typename list_t, typename mapping_t> struct mapped_list_iter_t;
+ }
+
+
+
+ // The half-edge structure proper (Edge) is maintained by Face
+ // instances. Together with Face instances, the half-edge
+ // structure defines a simple mesh (either one or two faces
+ // incident on each edge).
+ template<unsigned ndim>
+ class Edge : public tagable {
+ public:
+ typedef Vertex<ndim> vertex_t;
+ typedef Face<ndim> face_t;
+
+ vertex_t *vert;
+ face_t *face;
+ Edge *prev, *next, *rev;
+
+ private:
+ static void _link(Edge *a, Edge *b) {
+ a->next = b; b->prev = a;
+ }
+
+ static void _freeloop(Edge *s) {
+ Edge *e = s;
+ do {
+ Edge *n = e->next;
+ delete e;
+ e = n;
+ } while (e != s);
+ }
+
+ static void _setloopface(Edge *s, face_t *f) {
+ Edge *e = s;
+ do {
+ e->face = f;
+ e = e->next;
+ } while (e != s);
+ }
+
+ static size_t _looplen(Edge *s) {
+ Edge *e = s;
+ face_t *f = s->face;
+ size_t c = 0;
+ do {
+ ++c;
+ CARVE_ASSERT(e->rev->rev == e);
+ CARVE_ASSERT(e->next->prev == e);
+ CARVE_ASSERT(e->face == f);
+ e = e->next;
+ } while (e != s);
+ return c;
+ }
+
+ public:
+ void validateLoop() {
+ Edge *e = this;
+ face_t *f = face;
+ size_t c = 0;
+ do {
+ ++c;
+ CARVE_ASSERT(e->rev == NULL || e->rev->rev == e);
+ CARVE_ASSERT(e->next == e || e->next->vert != e->vert);
+ CARVE_ASSERT(e->prev == e || e->prev->vert != e->vert);
+ CARVE_ASSERT(e->next->prev == e);
+ CARVE_ASSERT(e->prev->next == e);
+ CARVE_ASSERT(e->face == f);
+ e = e->next;
+ } while (e != this);
+ CARVE_ASSERT(f == NULL || c == f->n_edges);
+ }
+
+ size_t loopLen() {
+ return _looplen(this);
+ }
+
+ Edge *mergeFaces();
+
+ Edge *removeHalfEdge();
+
+ // Remove and delete this edge.
+ Edge *removeEdge();
+
+ // Unlink this edge from its containing edge loop. disconnect
+ // rev links. The rev links of the previous edge also change, as
+ // its successor vertex changes.
+ void unlink();
+
+ // Insert this edge into a loop before other. If edge was
+ // already in a loop, it needs to be removed first.
+ void insertBefore(Edge *other);
+
+ // Insert this edge into a loop after other. If edge was
+ // already in a loop, it needs to be removed first.
+ void insertAfter(Edge *other);
+
+ size_t loopSize() const;
+
+ vertex_t *v1() { return vert; }
+ vertex_t *v2() { return next->vert; }
+
+ const vertex_t *v1() const { return vert; }
+ const vertex_t *v2() const { return next->vert; }
+
+ Edge *perimNext() const;
+ Edge *perimPrev() const;
+
+ double length2() const {
+ return (v1()->v - v2()->v).length2();
+ }
+
+ double length() const {
+ return (v1()->v - v2()->v).length();
+ }
+
+ Edge(vertex_t *_vert, face_t *_face);
+
+ ~Edge();
+ };
+
+
+
+ // A Face contains a pointer to the beginning of the half-edge
+ // circular list that defines its boundary.
+ template<unsigned ndim>
+ class Face : public tagable {
+ public:
+ typedef Vertex<ndim> vertex_t;
+ typedef Edge<ndim> edge_t;
+ typedef Mesh<ndim> mesh_t;
+
+ typedef typename Vertex<ndim>::vector_t vector_t;
+ typedef carve::geom::aabb<ndim> aabb_t;
+ typedef carve::geom::plane<ndim> plane_t;
+ typedef carve::geom::vector<2> (*project_t)(const vector_t &);
+ typedef vector_t (*unproject_t)(const carve::geom::vector<2> &, const plane_t &);
+
+ struct vector_mapping {
+ typedef typename vertex_t::vector_t value_type;
+
+ value_type operator()(const carve::geom::vector<ndim> &v) const { return v; }
+ value_type operator()(const carve::geom::vector<ndim> *v) const { return *v; }
+ value_type operator()(const Edge<ndim> &e) const { return e.vert->v; }
+ value_type operator()(const Edge<ndim> *e) const { return e->vert->v; }
+ value_type operator()(const Vertex<ndim> &v) const { return v.v; }
+ value_type operator()(const Vertex<ndim> *v) const { return v->v; }
+ };
+
+ struct projection_mapping {
+ typedef carve::geom::vector<2> value_type;
+ project_t proj;
+ projection_mapping(project_t _proj) : proj(_proj) { }
+ value_type operator()(const carve::geom::vector<ndim> &v) const { return proj(v); }
+ value_type operator()(const carve::geom::vector<ndim> *v) const { return proj(*v); }
+ value_type operator()(const Edge<ndim> &e) const { return proj(e.vert->v); }
+ value_type operator()(const Edge<ndim> *e) const { return proj(e->vert->v); }
+ value_type operator()(const Vertex<ndim> &v) const { return proj(v.v); }
+ value_type operator()(const Vertex<ndim> *v) const { return proj(v->v); }
+ };
+
+ edge_t *edge;
+ size_t n_edges;
+ mesh_t *mesh;
+ size_t id;
+
+ plane_t plane;
+ project_t project;
+ unproject_t unproject;
+
+ private:
+ Face &operator=(const Face &other);
+
+ protected:
+ Face() : edge(NULL), n_edges(0), mesh(NULL), id(0), plane(), project(NULL), unproject(NULL) {
+ }
+
+ Face(const Face &other) :
+ edge(NULL), n_edges(other.n_edges), mesh(NULL), id(other.id),
+ plane(other.plane), project(other.project), unproject(other.unproject) {
+ }
+
+ project_t getProjector(bool positive_facing, int axis) const;
+ unproject_t getUnprojector(bool positive_facing, int axis) const;
+
+ public:
+ typedef detail::list_iter_t<Edge<ndim> > edge_iter_t;
+ typedef detail::list_iter_t<const Edge<ndim> > const_edge_iter_t;
+
+ edge_iter_t begin() { return edge_iter_t(edge, 0); }
+ edge_iter_t end() { return edge_iter_t(edge, n_edges); }
+
+ const_edge_iter_t begin() const { return const_edge_iter_t(edge, 0); }
+ const_edge_iter_t end() const { return const_edge_iter_t(edge, n_edges); }
+
+ bool containsPoint(const vector_t &p) const;
+ bool containsPointInProjection(const vector_t &p) const;
+ bool simpleLineSegmentIntersection(
+ const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const;
+ IntersectionClass lineSegmentIntersection(
+ const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const;
+
+ aabb_t getAABB() const;
+
+ bool recalc();
+
+ void clearEdges();
+
+ // build an edge loop in forward orientation from an iterator pair
+ template<typename iter_t>
+ void loopFwd(iter_t vbegin, iter_t vend);
+
+ // build an edge loop in reverse orientation from an iterator pair
+ template<typename iter_t>
+ void loopRev(iter_t vbegin, iter_t vend);
+
+ // initialize a face from an ordered list of vertices.
+ template<typename iter_t>
+ void init(iter_t begin, iter_t end);
+
+ // initialization of a triangular face.
+ void init(vertex_t *a, vertex_t *b, vertex_t *c);
+
+ // initialization of a quad face.
+ void init(vertex_t *a, vertex_t *b, vertex_t *c, vertex_t *d);
+
+ void getVertices(std::vector<vertex_t *> &verts) const;
+ void getProjectedVertices(std::vector<carve::geom::vector<2> > &verts) const;
+
+ projection_mapping projector() const {
+ return projection_mapping(project);
+ }
+
+ std::pair<double, double> rangeInDirection(const vector_t &v, const vector_t &b) const {
+ edge_t *e = edge;
+ double lo, hi;
+ lo = hi = carve::geom::dot(v, e->vert->v - b);
+ e = e->next;
+ for (; e != edge; e = e->next) {
+ double d = carve::geom::dot(v, e->vert->v - b);
+ lo = std::min(lo, d);
+ hi = std::max(hi, d);
+ }
+ return std::make_pair(lo, hi);
+ }
+
+ size_t nVertices() const {
+ return n_edges;
+ }
+
+ size_t nEdges() const {
+ return n_edges;
+ }
+
+ vector_t centroid() const;
+
+ static Face *closeLoop(edge_t *open_edge);
+
+ Face(edge_t *e) : edge(e), n_edges(0), mesh(NULL) {
+ do {
+ e->face = this;
+ n_edges++;
+ e = e->next;
+ } while (e != edge);
+ recalc();
+ }
+
+ Face(vertex_t *a, vertex_t *b, vertex_t *c) : edge(NULL), n_edges(0), mesh(NULL) {
+ init(a, b, c);
+ recalc();
+ }
+
+ Face(vertex_t *a, vertex_t *b, vertex_t *c, vertex_t *d) : edge(NULL), n_edges(0), mesh(NULL) {
+ init(a, b, c, d);
+ recalc();
+ }
+
+ template<typename iter_t>
+ Face(iter_t begin, iter_t end) : edge(NULL), n_edges(0), mesh(NULL) {
+ init(begin, end);
+ recalc();
+ }
+
+ template<typename iter_t>
+ Face *create(iter_t beg, iter_t end, bool reversed) const;
+
+ Face *clone(const vertex_t *old_base, vertex_t *new_base, std::unordered_map<const edge_t *, edge_t *> &edge_map) const;
+
+ void remove() {
+ edge_t *e = edge;
+ do {
+ if (e->rev) e->rev->rev = NULL;
+ e = e->next;
+ } while (e != edge);
+ }
+
+ void invert() {
+ // We invert the direction of the edges of the face in this
+ // way so that the edge rev pointers (if any) are still
+ // correct. It is expected that invert() will be called on
+ // every other face in the mesh, too, otherwise everything
+ // will get messed up.
+
+ {
+ // advance vertices.
+ edge_t *e = edge;
+ vertex_t *va = e->vert;
+ do {
+ e->vert = e->next->vert;
+ e = e->next;
+ } while (e != edge);
+ edge->prev->vert = va;
+ }
+
+ {
+ // swap prev and next pointers.
+ edge_t *e = edge;
+ do {
+ edge_t *n = e->next;
+ std::swap(e->prev, e->next);
+ e = n;
+ } while (e != edge);
+ }
+
+ plane.negate();
+
+ int da = carve::geom::largestAxis(plane.N);
+
+ project = getProjector(plane.N.v[da] > 0, da);
+ unproject = getUnprojector(plane.N.v[da] > 0, da);
+ }
+
+ void canonicalize();
+
+ ~Face() {
+ clearEdges();
+ }
+ };
+
+
+
+ namespace detail {
+ class FaceStitcher {
+ typedef Vertex<3> vertex_t;
+ typedef Edge<3> edge_t;
+ typedef Face<3> face_t;
+
+ typedef std::pair<const vertex_t *, const vertex_t *> vpair_t;
+ typedef std::list<edge_t *> edgelist_t;
+ typedef std::unordered_map<vpair_t, edgelist_t, carve::mesh::hash_vertex_pair> edge_map_t;
+ typedef std::unordered_map<const vertex_t *, std::set<const vertex_t *> > edge_graph_t;
+
+ edge_map_t edges;
+ edge_map_t complex_edges;
+
+ carve::djset::djset face_groups;
+ std::vector<bool> is_open;
+
+ edge_graph_t edge_graph;
+
+ struct EdgeOrderData {
+ size_t group_id;
+ bool is_reversed;
+ carve::geom::vector<3> face_dir;
+ edge_t *edge;
+
+ EdgeOrderData(edge_t *_edge, size_t _group_id, bool _is_reversed) :
+ group_id(_group_id),
+ is_reversed(_is_reversed) {
+ if (is_reversed) {
+ face_dir = -(_edge->face->plane.N);
+ } else {
+ face_dir = (_edge->face->plane.N);
+ }
+ edge = _edge;
+ }
+
+ struct TestGroups {
+ size_t fwd, rev;
+
+ TestGroups(size_t _fwd, size_t _rev) : fwd(_fwd), rev(_rev) {
+ }
+
+ bool operator()(const EdgeOrderData &eo) const {
+ return eo.group_id == (eo.is_reversed ? rev : fwd);
+ }
+ };
+
+ struct Cmp {
+ carve::geom::vector<3> edge_dir;
+ carve::geom::vector<3> base_dir;
+
+ Cmp(const carve::geom::vector<3> &_edge_dir,
+ const carve::geom::vector<3> &_base_dir) :
+ edge_dir(_edge_dir),
+ base_dir(_base_dir) {
+ }
+ bool operator()(const EdgeOrderData &a, const EdgeOrderData &b) const;
+ };
+ };
+
+ void extractConnectedEdges(std::vector<const vertex_t *>::iterator begin,
+ std::vector<const vertex_t *>::iterator end,
+ std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev);
+
+ size_t faceGroupID(const Face<3> *face);
+ size_t faceGroupID(const Edge<3> *edge);
+
+ void resolveOpenEdges();
+
+ void fuseEdges(std::vector<Edge<3> *> &fwd,
+ std::vector<Edge<3> *> &rev);
+
+ void joinGroups(std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev,
+ size_t fwd_grp,
+ size_t rev_grp);
+
+ void matchOrderedEdges(const std::vector<std::vector<EdgeOrderData> >::iterator begin,
+ const std::vector<std::vector<EdgeOrderData> >::iterator end,
+ std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev);
+
+ void reorder(std::vector<EdgeOrderData> &ordering, size_t fwd_grp);
+
+ void orderForwardAndReverseEdges(std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev,
+ std::vector<std::vector<EdgeOrderData> > &result);
+
+ void edgeIncidentGroups(const vpair_t &e,
+ const edge_map_t &all_edges,
+ std::pair<std::set<size_t>, std::set<size_t> > &groups);
+
+ void buildEdgeGraph(const edge_map_t &all_edges);
+ void extractPath(std::vector<const vertex_t *> &path);
+ void removePath(const std::vector<const vertex_t *> &path);
+ void matchSimpleEdges();
+ void construct();
+
+ template<typename iter_t>
+ void initEdges(iter_t begin, iter_t end);
+
+ template<typename iter_t>
+ void build(iter_t begin, iter_t end, std::vector<Mesh<3> *> &meshes);
+
+ public:
+ template<typename iter_t>
+ void create(iter_t begin, iter_t end, std::vector<Mesh<3> *> &meshes);
+ };
+ }
+
+
+
+ // A Mesh is a connected set of faces. It may be open (some edges
+ // have NULL rev members), or closed. On destruction, a Mesh
+ // should free its Faces (which will in turn free Edges, but not
+ // Vertices). A Mesh is edge-connected, which is to say that each
+ // face in the mesh shares an edge with at least one other face in
+ // the mesh. Touching at a vertex is not sufficient. This means
+ // that the perimeter of an open mesh visits each vertex no more
+ // than once.
+ template<unsigned ndim>
+ class Mesh {
+ public:
+ typedef Vertex<ndim> vertex_t;
+ typedef Edge<ndim> edge_t;
+ typedef Face<ndim> face_t;
+ typedef carve::geom::aabb<ndim> aabb_t;
+ typedef MeshSet<ndim> meshset_t;
+
+ std::vector<face_t *> faces;
+
+ // open_edges is a vector of all the edges in the mesh that
+ // don't have a matching edge in the opposite direction.
+ std::vector<edge_t *> open_edges;
+
+ // closed_edges is a vector of all the edges in the mesh that
+ // have a matching edge in the opposite direction, and whose
+ // address is lower than their counterpart. (i.e. for each pair
+ // of adjoining faces, one of the two half edges is stored in
+ // closed_edges).
+ std::vector<edge_t *> closed_edges;
+
+ bool is_negative;
+
+ meshset_t *meshset;
+
+ protected:
+ Mesh(std::vector<face_t *> &_faces,
+ std::vector<edge_t *> &_open_edges,
+ std::vector<edge_t *> &_closed_edges,
+ bool _is_negative);
+
+ public:
+ Mesh(std::vector<face_t *> &_faces);
+
+ ~Mesh();
+
+ template<typename iter_t>
+ static void create(iter_t begin, iter_t end, std::vector<Mesh<ndim> *> &meshes);
+
+ aabb_t getAABB() const {
+ return aabb_t(faces.begin(), faces.end());
+ }
+
+ bool isClosed() const {
+ return open_edges.size() == 0;
+ }
+
+ bool isNegative() const {
+ return is_negative;
+ }
+
+ double volume() const {
+ if (is_negative || !faces.size()) return 0.0;
+
+ double vol = 0.0;
+ typename vertex_t::vector_t origin = faces[0]->edge->vert->v;
+
+ for (size_t f = 0; f < faces.size(); ++f) {
+ face_t *face = faces[f];
+ edge_t *e1 = face->edge;
+ for (edge_t *e2 = e1->next ;e2->next != e1; e2 = e2->next) {
+ vol += carve::geom3d::tetrahedronVolume(e1->vert->v, e2->vert->v, e2->next->vert->v, origin);
+ }
+ }
+ return vol;
+ }
+
+ struct IsClosed {
+ bool operator()(const Mesh &mesh) const { return mesh.isClosed(); }
+ bool operator()(const Mesh *mesh) const { return mesh->isClosed(); }
+ };
+
+ struct IsNegative {
+ bool operator()(const Mesh &mesh) const { return mesh.isNegative(); }
+ bool operator()(const Mesh *mesh) const { return mesh->isNegative(); }
+ };
+
+ void cacheEdges();
+
+ void calcOrientation();
+
+ void recalc() {
+ for (size_t i = 0; i < faces.size(); ++i) faces[i]->recalc();
+ calcOrientation();
+ }
+
+ void invert() {
+ for (size_t i = 0; i < faces.size(); ++i) {
+ faces[i]->invert();
+ }
+ if (isClosed()) is_negative = !is_negative;
+ }
+
+ Mesh *clone(const vertex_t *old_base, vertex_t *new_base) const;
+ };
+
+ // A MeshSet manages vertex storage, and a collection of meshes.
+ // It should be easy to turn a vertex pointer into its index in
+ // its MeshSet vertex_storage.
+ template<unsigned ndim>
+ class MeshSet {
+ MeshSet();
+ MeshSet(const MeshSet &);
+ MeshSet &operator=(const MeshSet &);
+
+ template<typename iter_t>
+ void _init_from_faces(iter_t begin, iter_t end);
+
+ public:
+ typedef Vertex<ndim> vertex_t;
+ typedef Edge<ndim> edge_t;
+ typedef Face<ndim> face_t;
+ typedef Mesh<ndim> mesh_t;
+ typedef carve::geom::aabb<ndim> aabb_t;
+
+ std::vector<vertex_t> vertex_storage;
+ std::vector<mesh_t *> meshes;
+
+ public:
+ template<typename face_type>
+ struct FaceIter : public std::iterator<std::random_access_iterator_tag, face_type> {
+ typedef std::iterator<std::random_access_iterator_tag, face_type> super;
+ typedef typename super::difference_type difference_type;
+
+ const MeshSet<ndim> *obj;
+ size_t mesh, face;
+
+ FaceIter(const MeshSet<ndim> *_obj, size_t _mesh, size_t _face);
+
+ void fwd(size_t n);
+ void rev(size_t n);
+ void adv(int n);
+
+ FaceIter operator++(int) { FaceIter tmp = *this; tmp.fwd(1); return tmp; }
+ FaceIter operator+(int v) { FaceIter tmp = *this; tmp.adv(v); return tmp; }
+ FaceIter &operator++() { fwd(1); return *this; }
+ FaceIter &operator+=(int v) { adv(v); return *this; }
+
+ FaceIter operator--(int) { FaceIter tmp = *this; tmp.rev(1); return tmp; }
+ FaceIter operator-(int v) { FaceIter tmp = *this; tmp.adv(-v); return tmp; }
+ FaceIter &operator--() { rev(1); return *this; }
+ FaceIter &operator-=(int v) { adv(-v); return *this; }
+
+ difference_type operator-(const FaceIter &other) const;
+
+ bool operator==(const FaceIter &other) const {
+ return obj == other.obj && mesh == other.mesh && face == other.face;
+ }
+ bool operator!=(const FaceIter &other) const {
+ return !(*this == other);
+ }
+ bool operator<(const FaceIter &other) const {
+ CARVE_ASSERT(obj == other.obj);
+ return mesh < other.mesh || (mesh == other.mesh && face < other.face);
+ }
+ bool operator>(const FaceIter &other) const {
+ return other < *this;
+ }
+ bool operator<=(const FaceIter &other) const {
+ return !(other < *this);
+ }
+ bool operator>=(const FaceIter &other) const {
+ return !(*this < other);
+ }
+
+ face_type operator*() const {
+ return obj->meshes[mesh]->faces[face];
+ }
+ };
+
+ typedef FaceIter<const face_t *> const_face_iter;
+ typedef FaceIter<face_t *> face_iter;
+
+ face_iter faceBegin() { return face_iter(this, 0, 0); }
+ face_iter faceEnd() { return face_iter(this, meshes.size(), 0); }
+
+ const_face_iter faceBegin() const { return const_face_iter(this, 0, 0); }
+ const_face_iter faceEnd() const { return const_face_iter(this, meshes.size(), 0); }
+
+ aabb_t getAABB() const {
+ return aabb_t(meshes.begin(), meshes.end());
+ }
+
+ template<typename func_t>
+ void transform(func_t func) {
+ for (size_t i = 0; i < vertex_storage.size(); ++i) {
+ vertex_storage[i].v = func(vertex_storage[i].v);
+ }
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ meshes[i]->recalc();
+ }
+ }
+
+ MeshSet(const std::vector<typename vertex_t::vector_t> &points,
+ size_t n_faces,
+ const std::vector<int> &face_indices);
+
+ // Construct a mesh set from a set of disconnected faces. Takes
+ // posession of the face pointers.
+ MeshSet(std::vector<face_t *> &faces);
+
+ MeshSet(std::list<face_t *> &faces);
+
+ MeshSet(std::vector<vertex_t> &_vertex_storage,
+ std::vector<mesh_t *> &_meshes);
+
+ // This constructor consolidates and rewrites vertex pointers in
+ // each mesh, repointing them to local storage.
+ MeshSet(std::vector<mesh_t *> &_meshes);
+
+ MeshSet *clone() const;
+
+ ~MeshSet();
+
+ bool isClosed() const {
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ if (!meshes[i]->isClosed()) return false;
+ }
+ return true;
+ }
+
+
+ void invert() {
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ meshes[i]->invert();
+ }
+ }
+
+ void collectVertices();
+
+ void canonicalize();
+ };
+
+
+
+ carve::PointClass classifyPoint(
+ const carve::mesh::MeshSet<3> *meshset,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *face_rtree,
+ const carve::geom::vector<3> &v,
+ bool even_odd = false,
+ const carve::mesh::Mesh<3> *mesh = NULL,
+ const carve::mesh::Face<3> **hit_face = NULL);
+
+
+
+ }
+
+
+
+ mesh::MeshSet<3> *meshFromPolyhedron(const poly::Polyhedron *, int manifold_id);
+ poly::Polyhedron *polyhedronFromMesh(const mesh::MeshSet<3> *, int manifold_id);
+
+
+
+};
+
+#include <carve/mesh_impl.hpp>
diff --git a/extern/carve/include/carve/mesh_impl.hpp b/extern/carve/include/carve/mesh_impl.hpp
new file mode 100644
index 00000000000..23b0a436573
--- /dev/null
+++ b/extern/carve/include/carve/mesh_impl.hpp
@@ -0,0 +1,1015 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/geom2d.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/djset.hpp>
+
+#include <iostream>
+#include <deque>
+
+#include <stddef.h>
+
+namespace carve {
+ namespace mesh {
+
+
+
+ namespace detail {
+ template<typename list_t>
+ struct list_iter_t {
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef list_t value_type;
+ typedef ptrdiff_t difference_type;
+ typedef value_type & reference;
+ typedef value_type * pointer;
+
+ list_t *curr;
+ int pos;
+
+ list_iter_t() { }
+ list_iter_t(list_t *_curr, int _pos) : curr(_curr), pos(_pos) { }
+
+ list_iter_t operator++(int) { list_iter_t result(*this); ++pos; curr = curr->next; return result; }
+ list_iter_t operator--(int) { list_iter_t result(*this); --pos; curr = curr->prev; return result; }
+
+ list_iter_t operator++() { ++pos; curr = curr->next; return *this; }
+ list_iter_t operator--() { --pos; curr = curr->prev; return *this; }
+
+ bool operator==(const list_iter_t &other) const { return curr == other.curr && pos == other.pos; }
+ bool operator!=(const list_iter_t &other) const { return curr != other.curr || pos != other.pos; }
+
+ reference operator*() { return *curr; }
+ pointer operator->() { return curr; }
+
+ int idx() const { return pos; }
+ };
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim> *Edge<ndim>::mergeFaces() {
+ if (rev == NULL) return NULL;
+
+ face_t *fwdface = face;
+ face_t *revface = rev->face;
+
+ size_t n_removed = 0;
+
+ Edge *splice_beg = this;
+ do {
+ splice_beg = splice_beg->prev;
+ ++n_removed;
+ } while (splice_beg != this &&
+ splice_beg->rev &&
+ splice_beg->next->rev->prev == splice_beg->rev);
+
+ if (splice_beg == this) {
+ // edge loops are completely matched.
+ return NULL;
+ }
+
+ Edge *splice_end = this;
+ do {
+ splice_end = splice_end->next;
+ ++n_removed;
+ } while (splice_end->rev &&
+ splice_end->prev->rev->next == splice_end->rev);
+
+ --n_removed;
+
+ Edge *link1_p = splice_beg;
+ Edge *link1_n = splice_beg->next->rev->next;
+
+ Edge *link2_p = splice_end->prev->rev->prev;
+ Edge *link2_n = splice_end;
+
+ CARVE_ASSERT(link1_p->face == fwdface);
+ CARVE_ASSERT(link1_n->face == revface);
+
+ CARVE_ASSERT(link2_p->face == revface);
+ CARVE_ASSERT(link2_n->face == fwdface);
+
+ Edge *left_loop = link1_p->next;
+
+ CARVE_ASSERT(left_loop->rev == link1_n->prev);
+
+ _link(link2_n->prev, link1_p->next);
+ _link(link1_n->prev, link2_p->next);
+
+ _link(link1_p, link1_n);
+ _link(link2_p, link2_n);
+
+ fwdface->edge = link1_p;
+
+ for (Edge *e = link1_n; e != link2_n; e = e->next) {
+ CARVE_ASSERT(e->face == revface);
+ e->face = fwdface;
+ fwdface->n_edges++;
+ }
+ for (Edge *e = link2_n; e != link1_n; e = e->next) {
+ CARVE_ASSERT(e->face == fwdface);
+ }
+
+ fwdface->n_edges -= n_removed;
+
+ revface->n_edges = 0;
+ revface->edge = NULL;
+
+ _setloopface(left_loop, NULL);
+ _setloopface(left_loop->rev, NULL);
+
+ return left_loop;
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim> *Edge<ndim>::removeHalfEdge() {
+ Edge *n = NULL;
+ if (face) {
+ face->n_edges--;
+ }
+
+ if (next == this) {
+ if (face) face->edge = NULL;
+ } else {
+ if (face && face->edge == this) face->edge = next;
+ next->prev = prev;
+ prev->next = next;
+ n = next;
+ }
+ delete this;
+ return n;
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim> *Edge<ndim>::removeEdge() {
+ if (rev) {
+ rev->removeHalfEdge();
+ }
+ return removeHalfEdge();
+ }
+
+
+
+ template<unsigned ndim>
+ void Edge<ndim>::unlink() {
+ if (rev) { rev->rev = NULL; rev = NULL; }
+ if (prev->rev) { prev->rev->rev = NULL; prev->rev = NULL; }
+
+ if (face) {
+ face->n_edges--;
+ if (face->edge == this) face->edge = next;
+ face = NULL;
+ }
+
+ next->prev = prev;
+ prev->next = next;
+
+ prev = next = this;
+ }
+
+
+
+ template<unsigned ndim>
+ void Edge<ndim>::insertBefore(Edge<ndim> *other) {
+ if (prev != this) unlink();
+ prev = other->prev;
+ next = other;
+ next->prev = this;
+ prev->next = this;
+
+ if (prev->rev) { prev->rev->rev = NULL; prev->rev = NULL; }
+ }
+
+
+
+ template<unsigned ndim>
+ void Edge<ndim>::insertAfter(Edge<ndim> *other) {
+ if (prev != this) unlink();
+ next = other->next;
+ prev = other;
+ next->prev = this;
+ prev->next = this;
+
+ if (prev->rev) { prev->rev->rev = NULL; prev->rev = NULL; }
+ }
+
+
+
+ template<unsigned ndim>
+ size_t Edge<ndim>::loopSize() const {
+ const Edge *e = this;
+ size_t n = 0;
+ do { e = e->next; ++n; } while (e != this);
+ return n;
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim> *Edge<ndim>::perimNext() const {
+ if (rev) return NULL;
+ Edge *e = next;
+ while(e->rev) {
+ e = e->rev->next;
+ }
+ return e;
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim> *Edge<ndim>::perimPrev() const {
+ if (rev) return NULL;
+ Edge *e = prev;
+ while(e->rev) {
+ e = e->rev->prev;
+ }
+ return e;
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim>::Edge(vertex_t *_vert, face_t *_face) :
+ vert(_vert), face(_face), prev(NULL), next(NULL), rev(NULL) {
+ prev = next = this;
+ }
+
+
+
+ template<unsigned ndim>
+ Edge<ndim>::~Edge() {
+ }
+
+
+
+ template<unsigned ndim>
+ typename Face<ndim>::aabb_t Face<ndim>::getAABB() const {
+ aabb_t aabb;
+ aabb.fit(begin(), end(), vector_mapping());
+ return aabb;
+ }
+
+
+
+ template<unsigned ndim>
+ bool Face<ndim>::recalc() {
+ if (!carve::geom3d::fitPlane(begin(), end(), vector_mapping(), plane)) {
+ return false;
+ }
+
+ int da = carve::geom::largestAxis(plane.N);
+ double A = carve::geom2d::signedArea(begin(), end(), projection_mapping(getProjector(false, da)));
+
+ if ((A < 0.0) ^ (plane.N.v[da] < 0.0)) {
+ plane.negate();
+ }
+
+ project = getProjector(plane.N.v[da] > 0, da);
+ unproject = getUnprojector(plane.N.v[da] > 0, da);
+
+ return true;
+ }
+
+
+
+ template<unsigned ndim>
+ void Face<ndim>::clearEdges() {
+ if (!edge) return;
+
+ edge_t *curr = edge;
+ do {
+ edge_t *next = curr->next;
+ delete curr;
+ curr = next;
+ } while (curr != edge);
+
+ edge = NULL;
+
+ n_edges = 0;
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void Face<ndim>::loopFwd(iter_t begin, iter_t end) {
+ clearEdges();
+ if (begin == end) return;
+ edge = new edge_t(*begin, this); ++n_edges; ++begin;
+ while (begin != end) {
+ edge_t *e = new edge_t(*begin, this);
+ e->insertAfter(edge->prev);
+ ++n_edges;
+ ++begin;
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void Face<ndim>::loopRev(iter_t begin, iter_t end) {
+ clearEdges();
+ if (begin == end) return;
+ edge = new edge_t(*begin, this); ++n_edges; ++begin;
+ while (begin != end) {
+ edge_t *e = new edge_t(*begin, this);
+ e->insertBefore(edge->next);
+ ++n_edges;
+ ++begin;
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void Face<ndim>::init(iter_t begin, iter_t end) {
+ loopFwd(begin, end);
+ }
+
+
+
+ template<unsigned ndim>
+ void Face<ndim>::init(vertex_t *a, vertex_t *b, vertex_t *c) {
+ clearEdges();
+ edge_t *ea = new edge_t(a, this);
+ edge_t *eb = new edge_t(b, this);
+ edge_t *ec = new edge_t(c, this);
+ eb->insertAfter(ea);
+ ec->insertAfter(eb);
+ edge = ea;
+ n_edges = 3;
+ }
+
+
+
+ template<unsigned ndim>
+ void Face<ndim>::init(vertex_t *a, vertex_t *b, vertex_t *c, vertex_t *d) {
+ clearEdges();
+ edge_t *ea = new edge_t(a, this);
+ edge_t *eb = new edge_t(b, this);
+ edge_t *ec = new edge_t(c, this);
+ edge_t *ed = new edge_t(d, this);
+ eb->insertAfter(ea);
+ ec->insertAfter(eb);
+ ed->insertAfter(ec);
+ edge = ea;
+ n_edges = 4;
+ }
+
+
+
+ template<unsigned ndim>
+ void Face<ndim>::getVertices(std::vector<vertex_t *> &verts) const {
+ verts.clear();
+ verts.reserve(n_edges);
+ const edge_t *e = edge;
+ do { verts.push_back(e->vert); e = e->next; } while (e != edge);
+ }
+
+
+
+ template<unsigned ndim>
+ void Face<ndim>::getProjectedVertices(std::vector<carve::geom::vector<2> > &verts) const {
+ verts.clear();
+ verts.reserve(n_edges);
+ const edge_t *e = edge;
+ do { verts.push_back(project(e->vert->v)); e = e->next; } while (e != edge);
+ }
+
+
+
+ template<unsigned ndim>
+ typename Face<ndim>::vector_t Face<ndim>::centroid() const {
+ vector_t v;
+ edge_t *e = edge;
+ do {
+ v += e->vert->v;
+ e = e->next;
+ } while(e != edge);
+ v /= n_edges;
+ return v;
+ }
+
+
+
+ template<unsigned ndim>
+ void Face<ndim>::canonicalize() {
+ edge_t *min = edge;
+ edge_t *e = edge;
+
+ do {
+ if (e->vert < min->vert) min = e;
+ e = e->next;
+ } while (e != edge);
+
+ edge = min;
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ Face<ndim> *Face<ndim>::create(iter_t beg, iter_t end, bool reversed) const {
+ Face *r = new Face();
+
+ if (reversed) {
+ r->loopRev(beg, end);
+ r->plane = -plane;
+ } else {
+ r->loopFwd(beg, end);
+ r->plane = plane;
+ }
+
+ int da = carve::geom::largestAxis(r->plane.N);
+
+ r->project = r->getProjector(r->plane.N.v[da] > 0, da);
+ r->unproject = r->getUnprojector(r->plane.N.v[da] > 0, da);
+
+ return r;
+ }
+
+
+
+ template<unsigned ndim>
+ Face<ndim> *Face<ndim>::clone(const vertex_t *old_base,
+ vertex_t *new_base,
+ std::unordered_map<const edge_t *, edge_t *> &edge_map) const {
+ Face *r = new Face(*this);
+
+ edge_t *e = edge;
+ edge_t *r_p = NULL;
+ edge_t *r_e;
+ do {
+ r_e = new edge_t(e->vert - old_base + new_base, r);
+ edge_map[e] = r_e;
+ if (r_p) {
+ r_p->next = r_e;
+ r_e->prev = r_p;
+ } else {
+ r->edge = r_e;
+ }
+ r_p = r_e;
+
+ if (e->rev) {
+ typename std::unordered_map<const edge_t *, edge_t *>::iterator rev_i = edge_map.find(e->rev);
+ if (rev_i != edge_map.end()) {
+ r_e->rev = (*rev_i).second;
+ (*rev_i).second->rev = r_e;
+ }
+ }
+
+ e = e->next;
+ } while (e != edge);
+ r_e->next = r->edge;
+ r->edge->prev = r_e;
+ return r;
+ }
+
+
+
+ template<unsigned ndim>
+ Mesh<ndim>::Mesh(std::vector<face_t *> &_faces,
+ std::vector<edge_t *> &_open_edges,
+ std::vector<edge_t *> &_closed_edges,
+ bool _is_negative) {
+ std::swap(faces, _faces);
+ std::swap(open_edges, _open_edges);
+ std::swap(closed_edges, _closed_edges);
+ is_negative = _is_negative;
+ meshset = NULL;
+
+ for (size_t i = 0; i < faces.size(); ++i) {
+ faces[i]->mesh = this;
+ }
+ }
+
+
+
+ namespace detail {
+ template<typename iter_t>
+ void FaceStitcher::initEdges(iter_t begin,
+ iter_t end) {
+ size_t c = 0;
+ for (iter_t i = begin; i != end; ++i) {
+ face_t *face = *i;
+ CARVE_ASSERT(face->mesh == NULL); // for the moment, can only insert a face into a mesh once.
+
+ face->id = c++;
+ edge_t *e = face->edge;
+ do {
+ edges[vpair_t(e->v1(), e->v2())].push_back(e);
+ e = e->next;
+ if (e->rev) { e->rev->rev = NULL; e->rev = NULL; }
+ } while (e != face->edge);
+ }
+ face_groups.init(c);
+ is_open.clear();
+ is_open.resize(c, false);
+ }
+
+ template<typename iter_t>
+ void FaceStitcher::build(iter_t begin,
+ iter_t end,
+ std::vector<Mesh<3> *> &meshes) {
+ // work out what set each face belongs to, and then construct
+ // mesh instances for each set of faces.
+ std::vector<size_t> index_set;
+ std::vector<size_t> set_size;
+ face_groups.get_index_to_set(index_set, set_size);
+
+ std::vector<std::vector<face_t *> > mesh_faces;
+ mesh_faces.resize(set_size.size());
+ for (size_t i = 0; i < set_size.size(); ++i) {
+ mesh_faces[i].reserve(set_size[i]);
+ }
+
+ for (iter_t i = begin; i != end; ++i) {
+ face_t *face = *i;
+ mesh_faces[index_set[face->id]].push_back(face);
+ }
+
+ meshes.clear();
+ meshes.reserve(mesh_faces.size());
+ for (size_t i = 0; i < mesh_faces.size(); ++i) {
+ meshes.push_back(new Mesh<3>(mesh_faces[i]));
+ }
+ }
+
+ template<typename iter_t>
+ void FaceStitcher::create(iter_t begin,
+ iter_t end,
+ std::vector<Mesh<3> *> &meshes) {
+ initEdges(begin, end);
+ construct();
+ build(begin, end, meshes);
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ void Mesh<ndim>::cacheEdges() {
+ closed_edges.clear();
+ open_edges.clear();
+
+ for (size_t i = 0; i < faces.size(); ++i) {
+ face_t *face = faces[i];
+ edge_t *e = face->edge;
+ do {
+ if (e->rev == NULL) {
+ open_edges.push_back(e);
+ } else if (e < e->rev) {
+ closed_edges.push_back(e);
+ }
+ e = e->next;
+ } while (e != face->edge);
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ Mesh<ndim>::Mesh(std::vector<face_t *> &_faces) : faces(), open_edges(), closed_edges(), meshset(NULL) {
+ faces.swap(_faces);
+ for (size_t i = 0; i < faces.size(); ++i) {
+ faces[i]->mesh = this;
+ }
+ cacheEdges();
+ calcOrientation();
+ }
+
+
+
+ template<unsigned ndim>
+ void Mesh<ndim>::calcOrientation() {
+ if (open_edges.size() || !closed_edges.size()) {
+ is_negative = false;
+ } else {
+ edge_t *emin = closed_edges[0];
+ if (emin->rev->v1()->v < emin->v1()->v) emin = emin->rev;
+ for (size_t i = 1; i < closed_edges.size(); ++i) {
+ if (closed_edges[i]->v1()->v < emin->v1()->v) emin = closed_edges[i];
+ if (closed_edges[i]->rev->v1()->v < emin->v1()->v) emin = closed_edges[i]->rev;
+ }
+
+ std::vector<face_t *> min_faces;
+ edge_t *e = emin;
+ do {
+ min_faces.push_back(e->face);
+ CARVE_ASSERT(e->rev != NULL);
+ e = e->rev->next;
+ CARVE_ASSERT(e->v1() == emin->v1());
+ CARVE_ASSERT(e->v1()->v < e->v2()->v);
+ CARVE_ASSERT(e->v1()->v.x <= e->v2()->v.x);
+ } while (e != emin);
+
+ double max_abs_x = 0.0;
+ for (size_t f = 0; f < min_faces.size(); ++f) {
+ if (fabs(min_faces[f]->plane.N.x) > fabs(max_abs_x)) max_abs_x = min_faces[f]->plane.N.x;
+ }
+ is_negative = max_abs_x > 0.0;
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ Mesh<ndim> *Mesh<ndim>::clone(const vertex_t *old_base,
+ vertex_t *new_base) const {
+ std::vector<face_t *> r_faces;
+ std::vector<edge_t *> r_open_edges;
+ std::vector<edge_t *> r_closed_edges;
+ std::unordered_map<const edge_t *, edge_t *> edge_map;
+
+ r_faces.reserve(faces.size());
+ r_open_edges.reserve(r_open_edges.size());
+ r_closed_edges.reserve(r_closed_edges.size());
+
+ for (size_t i = 0; i < faces.size(); ++i) {
+ r_faces.push_back(faces[i]->clone(old_base, new_base, edge_map));
+ }
+ for (size_t i = 0; i < closed_edges.size(); ++i) {
+ r_closed_edges.push_back(edge_map[closed_edges[i]]);
+ r_closed_edges.back()->rev = edge_map[closed_edges[i]->rev];
+ }
+ for (size_t i = 0; i < open_edges.size(); ++i) {
+ r_open_edges.push_back(edge_map[open_edges[i]]);
+ }
+
+ return new Mesh(r_faces, r_open_edges, r_closed_edges, is_negative);
+ }
+
+
+
+ template<unsigned ndim>
+ Mesh<ndim>::~Mesh() {
+ for (size_t i = 0; i < faces.size(); ++i) {
+ delete faces[i];
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void Mesh<ndim>::create(iter_t begin, iter_t end, std::vector<Mesh<ndim> *> &meshes) {
+ meshes.clear();
+ }
+
+
+
+ template<>
+ template<typename iter_t>
+ void Mesh<3>::create(iter_t begin, iter_t end, std::vector<Mesh<3> *> &meshes) {
+ detail::FaceStitcher().create(begin, end, meshes);
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename iter_t>
+ void MeshSet<ndim>::_init_from_faces(iter_t begin, iter_t end) {
+ typedef std::unordered_map<const vertex_t *, size_t> map_t;
+ map_t vmap;
+
+ for (iter_t i = begin; i != end; ++i) {
+ face_t *f = *i;
+ edge_t *e = f->edge;
+ do {
+ typename map_t::const_iterator j = vmap.find(e->vert);
+ if (j == vmap.end()) {
+ size_t idx = vmap.size();
+ vmap[e->vert] = idx;
+ }
+ e = e->next;
+ } while (e != f->edge);
+ }
+
+ vertex_storage.resize(vmap.size());
+ for (typename map_t::const_iterator i = vmap.begin(); i != vmap.end(); ++i) {
+ vertex_storage[(*i).second].v = (*i).first->v;
+ }
+
+ for (iter_t i = begin; i != end; ++i) {
+ face_t *f = *i;
+ edge_t *e = f->edge;
+ do {
+ e->vert = &vertex_storage[vmap[e->vert]];
+ e = e->next;
+ } while (e != f->edge);
+ }
+
+ mesh_t::create(begin, end, meshes);
+
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ meshes[i]->meshset = this;
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim>::MeshSet(const std::vector<typename MeshSet<ndim>::vertex_t::vector_t> &points,
+ size_t n_faces,
+ const std::vector<int> &face_indices) {
+ vertex_storage.reserve(points.size());
+ std::vector<face_t *> faces;
+ faces.reserve(n_faces);
+ for (size_t i = 0; i < points.size(); ++i) {
+ vertex_storage.push_back(vertex_t(points[i]));
+ }
+
+ std::vector<vertex_t *> v;
+ size_t p = 0;
+ for (size_t i = 0; i < n_faces; ++i) {
+ const size_t N = face_indices[p++];
+ v.clear();
+ v.reserve(N);
+ for (size_t j = 0; j < N; ++j) {
+ v.push_back(&vertex_storage[face_indices[p++]]);
+ }
+ faces.push_back(new face_t(v.begin(), v.end()));
+ }
+ CARVE_ASSERT(p == face_indices.size());
+ mesh_t::create(faces.begin(), faces.end(), meshes);
+
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ meshes[i]->meshset = this;
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim>::MeshSet(std::vector<face_t *> &faces) {
+ _init_from_faces(faces.begin(), faces.end());
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim>::MeshSet(std::list<face_t *> &faces) {
+ _init_from_faces(faces.begin(), faces.end());
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim>::MeshSet(std::vector<vertex_t> &_vertex_storage,
+ std::vector<mesh_t *> &_meshes) {
+ vertex_storage.swap(_vertex_storage);
+ meshes.swap(_meshes);
+
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ meshes[i]->meshset = this;
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim>::MeshSet(std::vector<typename MeshSet<ndim>::mesh_t *> &_meshes) {
+ meshes.swap(_meshes);
+ std::unordered_map<vertex_t *, size_t> vert_idx;
+
+ for (size_t m = 0; m < meshes.size(); ++m) {
+ mesh_t *mesh = meshes[m];
+ CARVE_ASSERT(mesh->meshset == NULL);
+ mesh->meshset = this;
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ face_t *face = mesh->faces[f];
+ edge_t *edge = face->edge;
+ do {
+ vert_idx[edge->vert] = 0;
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+ }
+
+ vertex_storage.reserve(vert_idx.size());
+ for (typename std::unordered_map<vertex_t *, size_t>::iterator i = vert_idx.begin(); i != vert_idx.end(); ++i) {
+ (*i).second = vertex_storage.size();
+ vertex_storage.push_back(*(*i).first);
+ }
+
+ for (size_t m = 0; m < meshes.size(); ++m) {
+ mesh_t *mesh = meshes[m];
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ face_t *face = mesh->faces[f];
+ edge_t *edge = face->edge;
+ do {
+ size_t i = vert_idx[edge->vert];
+ edge->vert = &vertex_storage[i];
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim> *MeshSet<ndim>::clone() const {
+ std::vector<vertex_t> r_vertex_storage = vertex_storage;
+ std::vector<mesh_t *> r_meshes;
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ r_meshes.push_back(meshes[i]->clone(&vertex_storage[0], &r_vertex_storage[0]));
+ }
+
+ return new MeshSet(r_vertex_storage, r_meshes);
+ }
+
+
+
+ template<unsigned ndim>
+ MeshSet<ndim>::~MeshSet() {
+ for (size_t i = 0; i < meshes.size(); ++i) {
+ delete meshes[i];
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename face_type>
+ MeshSet<ndim>::FaceIter<face_type>::FaceIter(const MeshSet<ndim> *_obj, size_t _mesh, size_t _face) : obj(_obj), mesh(_mesh), face(_face) {
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename face_type>
+ void MeshSet<ndim>::FaceIter<face_type>::fwd(size_t n) {
+ if (mesh < obj->meshes.size()) {
+ face += n;
+ while (face >= obj->meshes[mesh]->faces.size()) {
+ face -= obj->meshes[mesh++]->faces.size();
+ if (mesh == obj->meshes.size()) { face = 0; break; }
+ }
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename face_type>
+ void MeshSet<ndim>::FaceIter<face_type>::rev(size_t n) {
+ while (n > face) {
+ n -= face;
+ if (mesh == 0) { face = 0; return; }
+ face = obj->meshes[--mesh]->faces.size() - 1;
+ }
+ face -= n;
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename face_type>
+ void MeshSet<ndim>::FaceIter<face_type>::adv(int n) {
+ if (n > 0) {
+ fwd((size_t)n);
+ } else if (n < 0) {
+ rev((size_t)-n);
+ }
+ }
+
+
+
+ template<unsigned ndim>
+ template<typename face_type>
+ typename MeshSet<ndim>::template FaceIter<face_type>::difference_type
+ MeshSet<ndim>::FaceIter<face_type>::operator-(const FaceIter &other) const {
+ CARVE_ASSERT(obj == other.obj);
+ if (mesh == other.mesh) return face - other.face;
+
+ size_t m = 0;
+ for (size_t i = std::min(mesh, other.mesh) + 1; i < std::max(mesh, other.mesh); ++i) {
+ m += obj->meshes[i]->faces.size();
+ }
+
+ if (mesh < other.mesh) {
+ return -(difference_type)((obj->meshes[mesh]->faces.size() - face) + m + other.face);
+ } else {
+ return +(difference_type)((obj->meshes[other.mesh]->faces.size() - other.face) + m + face);
+ }
+ }
+
+
+
+ template<typename order_t>
+ struct VPtrSort {
+ order_t order;
+
+ VPtrSort(const order_t &_order = order_t()) : order(_order) {}
+
+ template<unsigned ndim>
+ bool operator()(carve::mesh::Vertex<ndim> *a,
+ carve::mesh::Vertex<ndim> *b) const {
+ return order(a->v, b->v);
+ }
+ };
+
+
+
+ template<unsigned ndim>
+ void MeshSet<ndim>::collectVertices() {
+ std::unordered_map<vertex_t *, size_t> vert_idx;
+
+ for (size_t m = 0; m < meshes.size(); ++m) {
+ mesh_t *mesh = meshes[m];
+
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ face_t *face = mesh->faces[f];
+ edge_t *edge = face->edge;
+ do {
+ vert_idx[edge->vert] = 0;
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+ }
+
+ std::vector<vertex_t> new_vertex_storage;
+ new_vertex_storage.reserve(vert_idx.size());
+ for (typename std::unordered_map<vertex_t *, size_t>::iterator
+ i = vert_idx.begin(); i != vert_idx.end(); ++i) {
+ (*i).second = new_vertex_storage.size();
+ new_vertex_storage.push_back(*(*i).first);
+ }
+
+ for (size_t m = 0; m < meshes.size(); ++m) {
+ mesh_t *mesh = meshes[m];
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ face_t *face = mesh->faces[f];
+ edge_t *edge = face->edge;
+ do {
+ size_t i = vert_idx[edge->vert];
+ edge->vert = &new_vertex_storage[i];
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+ }
+
+ std::swap(vertex_storage, new_vertex_storage);
+ }
+
+
+
+ template<unsigned ndim>
+ void MeshSet<ndim>::canonicalize() {
+ std::vector<vertex_t *> vptr;
+ std::vector<vertex_t *> vmap;
+ std::vector<vertex_t> vout;
+ const size_t N = vertex_storage.size();
+
+ vptr.reserve(N);
+ vout.reserve(N);
+ vmap.resize(N);
+
+ for (size_t i = 0; i != N; ++i) {
+ vptr.push_back(&vertex_storage[i]);
+ }
+ std::sort(vptr.begin(), vptr.end(), VPtrSort<std::less<typename vertex_t::vector_t> >());
+
+ for (size_t i = 0; i != N; ++i) {
+ vout.push_back(*vptr[i]);
+ vmap[vptr[i] - &vertex_storage[0]] = &vout[i];
+ }
+
+ for (face_iter i = faceBegin(); i != faceEnd(); ++i) {
+ for (typename face_t::edge_iter_t j = (*i)->begin(); j != (*i)->end(); ++j) {
+ (*j).vert = vmap[(*j).vert - &vertex_storage[0]];
+ }
+ (*i)->canonicalize();
+ }
+
+ vertex_storage.swap(vout);
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/mesh_ops.hpp b/extern/carve/include/carve/mesh_ops.hpp
new file mode 100644
index 00000000000..02b1bde4e45
--- /dev/null
+++ b/extern/carve/include/carve/mesh_ops.hpp
@@ -0,0 +1,975 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/mesh.hpp>
+
+#include <iostream>
+#include <fstream>
+
+namespace carve {
+ namespace mesh {
+ namespace detail {
+ // make a triangle out of three edges.
+ template<unsigned ndim>
+ void link(Edge<ndim> *e1, Edge<ndim> *e2, Edge<ndim> *e3, Face<ndim> *f = NULL) {
+ e1->next = e2; e2->next = e3; e3->next = e1;
+ e3->prev = e2; e2->prev = e1; e1->prev = e3;
+ e1->face = e2->face = e3->face = f;
+ if (f) {
+ f->edge = e1;
+ f->recalc();
+ }
+ }
+
+
+
+ template<unsigned ndim, typename proj_t>
+ double loopArea(carve::mesh::Edge<ndim> *edge, proj_t proj) {
+ double A = 0.0;
+ carve::mesh::Edge<3> *e = edge;
+ do {
+ carve::geom2d::P2 p1 = proj(e->vert->v);
+ carve::geom2d::P2 p2 = proj(e->next->vert->v);
+ A += (p2.y + p1.y) * (p2.x - p1.x);
+ e = e->next;
+ } while (e != edge);
+ return A / 2.0;
+ }
+
+
+
+ template<unsigned ndim, typename proj_t>
+ struct TriangulationData {
+ typedef Edge<ndim> edge_t;
+
+ struct VertexInfo {
+ double score;
+ carve::geom2d::P2 p;
+ bool convex;
+ bool failed;
+ VertexInfo *next, *prev;
+ edge_t *edge;
+
+ VertexInfo(edge_t *_edge,
+ const carve::geom2d::P2 &_p) :
+ score(0.0), p(_p), convex(false), failed(false), next(NULL), prev(NULL), edge(_edge) {
+ }
+
+ bool isCandidate() const {
+ return convex && !failed;
+ }
+
+ void fail() {
+ failed = true;
+ }
+
+ static bool isLeft(const VertexInfo *a, const VertexInfo *b, const geom2d::P2 &p) {
+ if (a < b) {
+ return carve::geom2d::orient2d(a->p, b->p, p) > 0.0;
+ } else {
+ return carve::geom2d::orient2d(b->p, a->p, p) < 0.0;
+ }
+ }
+
+ // is the ear prev->edge->next convex?
+ bool testForConvexVertex() const {
+ return isLeft(next, prev, p);
+ }
+
+ static double triScore(const geom2d::P2 &a, const geom2d::P2 &b, const geom2d::P2 &c) {
+ // score is in the range: [0, 1]
+ // equilateral triangles score 1
+ // sliver triangles score 0
+ double dab = (a - b).length();
+ double dbc = (b - c).length();
+ double dca = (c - a).length();
+
+ if (dab < 1e-10 || dbc < 1e-10 || dca < 1e-10) return 0.0;
+
+ return std::max(std::min((dab + dbc) / dca, std::min((dab + dca) / dbc, (dbc + dca) / dab)) - 1.0, 0.0);
+ }
+
+ // calculate a score for the ear edge.
+ double calcScore() const {
+ double this_tri = triScore(prev->p, p, next->p);
+ double next_tri = triScore(prev->p, next->p, next->next->p);
+ double prev_tri = triScore(prev->prev->p, prev->p, next->p);
+
+ return this_tri + std::max(next_tri, prev_tri) * .2;
+ }
+
+ void recompute() {
+ convex = testForConvexVertex();
+ failed = false;
+ if (convex) {
+ score = calcScore();
+ } else {
+ score = -1e-5;
+ }
+ }
+
+ static bool inTriangle(const VertexInfo *a,
+ const VertexInfo *b,
+ const VertexInfo *c,
+ const geom2d::P2 &e) {
+ return !isLeft(b, a, e) && !isLeft(c, b, e) && !isLeft(a, c, e);
+ }
+
+
+ bool isClipable() const {
+ for (const VertexInfo *v_test = next->next; v_test != prev; v_test = v_test->next) {
+ if (v_test->convex) {
+ continue;
+ }
+
+ if (v_test->p == prev->p || v_test->p == next->p) {
+ continue;
+ }
+
+ if (v_test->p == p) {
+ if (v_test->next->p == prev->p && v_test->prev->p == next->p) {
+ return false;
+ }
+
+ if (v_test->next->p == prev->p || v_test->prev->p == next->p) {
+ continue;
+ }
+ }
+
+ if (inTriangle(prev, this, next, v_test->p)) {
+ return false;
+ }
+ }
+ return true;
+ }
+ };
+
+ struct order_by_score {
+ bool operator()(const VertexInfo *a, const VertexInfo *b) const {
+ return a->score < b->score;
+ }
+ };
+
+ typedef std::pair<VertexInfo *, VertexInfo *> diag_t;
+
+ proj_t proj;
+
+ geom2d::P2 P(const VertexInfo *vi) const {
+ return vi->p;
+ }
+
+ geom2d::P2 P(const edge_t *edge) const {
+ return proj(edge->vert->v);
+ }
+
+ bool isLeft(const edge_t *a, const edge_t *b, const geom2d::P2 &p) const {
+ if (a < b) {
+ return carve::geom2d::orient2d(P(a), P(b), p) > 0.0;
+ } else {
+ return carve::geom2d::orient2d(P(b), P(a), p) < 0.0;
+ }
+ }
+
+ bool testForConvexVertex(const edge_t *vert) const {
+ return isLeft(vert->next, vert->prev, P(vert));
+ }
+
+ bool inCone(const VertexInfo *vert, const geom2d::P2 &p) const {
+ return geom2d::internalToAngle(P(vert->next), P(vert), P(vert->prev), p);
+ }
+
+ int windingNumber(VertexInfo *vert, const carve::geom2d::P2 &point) const {
+ int wn = 0;
+
+ VertexInfo *v = vert;
+ geom2d::P2 v_p = P(vert);
+ do {
+ geom2d::P2 n_p = P(v->next);
+
+ if (v_p.y <= point.y) {
+ if (n_p.y > point.y && carve::geom2d::orient2d(v_p, n_p, point) > 0.0) {
+ ++wn;
+ }
+ } else {
+ if (n_p.y <= point.y && carve::geom2d::orient2d(v_p, n_p, point) < 0.0) {
+ --wn;
+ }
+ }
+ v = v->next;
+ v_p = n_p;
+ } while (v != vert);
+
+ return wn;
+ }
+
+ bool diagonalIsCandidate(diag_t diag) const {
+ VertexInfo *v1 = diag.first;
+ VertexInfo *v2 = diag.second;
+ return (inCone(v1, P(v2)) && inCone(v2, P(v1)));
+ }
+
+ bool testDiagonal(diag_t diag) const {
+ // test whether v1-v2 is a valid diagonal.
+ VertexInfo *v1 = diag.first;
+ VertexInfo *v2 = diag.second;
+ geom2d::P2 v1p = P(v1);
+ geom2d::P2 v2p = P(v2);
+
+ bool intersected = false;
+
+ for (VertexInfo *t = v1->next; !intersected && t != v1->prev; t = t->next) {
+ VertexInfo *u = t->next;
+ if (t == v2 || u == v2) continue;
+
+ geom2d::P2 tp = P(t);
+ geom2d::P2 up = P(u);
+
+ double l_a1 = carve::geom2d::orient2d(v1p, v2p, tp);
+ double l_a2 = carve::geom2d::orient2d(v1p, v2p, up);
+
+ double l_b1 = carve::geom2d::orient2d(tp, up, v1p);
+ double l_b2 = carve::geom2d::orient2d(tp, up, v2p);
+
+ if (l_a1 > l_a2) std::swap(l_a1, l_a2);
+ if (l_b1 > l_b2) std::swap(l_b1, l_b2);
+
+ if (l_a1 == 0.0 && l_a2 == 0.0 &&
+ l_b1 == 0.0 && l_b2 == 0.0) {
+ // colinear
+ if (std::max(tp.x, up.x) >= std::min(v1p.x, v2p.x) && std::min(tp.x, up.x) <= std::max(v1p.x, v2p.x)) {
+ // colinear and intersecting
+ intersected = true;
+ }
+ continue;
+ }
+
+ if (l_a2 <= 0.0 || l_a1 >= 0.0 || l_b2 <= 0.0 || l_b1 >= 0.0) {
+ // no intersection
+ continue;
+ }
+
+ intersected = true;
+ }
+
+ if (!intersected) {
+ // test whether midpoint winding == 1
+
+ carve::geom2d::P2 mid = (v1p + v2p) / 2;
+ if (windingNumber(v1, mid) == 1) {
+ // this diagonal is ok
+ return true;
+ }
+ }
+ return false;
+ }
+
+ // Find the vertex half way around the loop (rounds upwards).
+ VertexInfo *findMidpoint(VertexInfo *vert) const {
+ VertexInfo *v = vert;
+ VertexInfo *r = vert;
+ while (1) {
+ r = r->next;
+ v = v->next; if (v == vert) return r;
+ v = v->next; if (v == vert) return r;
+ }
+ }
+
+ // Test all diagonals with a separation of a-b by walking both
+ // pointers around the loop. In the case where a-b divides the
+ // loop exactly in half, this will test each diagonal twice,
+ // but avoiding this case is not worth the extra effort
+ // required.
+ diag_t scanDiagonals(VertexInfo *a, VertexInfo *b) const {
+ VertexInfo *v1 = a;
+ VertexInfo *v2 = b;
+
+ do {
+ diag_t d(v1, v2);
+ if (diagonalIsCandidate(d) && testDiagonal(d)) {
+ return d;
+ }
+ v1 = v1->next;
+ v2 = v2->next;
+ } while (v1 != a);
+
+ return diag_t(NULL, NULL);
+ }
+
+ diag_t scanAllDiagonals(VertexInfo *a) const {
+ // Rationale: We want to find a diagonal that splits the
+ // loop into two as evenly as possible, to reduce the number
+ // of times that diagonal splitting is required. Start by
+ // scanning all diagonals separated by loop_len / 2, then
+ // decrease the separation until we find something.
+
+ // loops of length 2 or 3 have no possible diagonal.
+ if (a->next == a || a->next->next == a) return diag_t(NULL, NULL);
+
+ VertexInfo *b = findMidpoint(a);
+ while (b != a->next) {
+ diag_t d = scanDiagonals(a, b);
+ if (d != diag_t(NULL, NULL)) return d;
+ b = b->prev;
+ }
+
+ return diag_t(NULL, NULL);
+ }
+
+ diag_t findDiagonal(VertexInfo *vert) const {
+ return scanAllDiagonals(vert);
+ }
+
+ diag_t findHighScoringDiagonal(VertexInfo *vert) const {
+ typedef std::pair<double, diag_t> heap_entry_t;
+ VertexInfo *v1, *v2;
+ std::vector<heap_entry_t> heap;
+ size_t loop_len = 0;
+
+ v1 = vert;
+ do {
+ ++loop_len;
+ v1 = v1->next;
+ } while (v1 != vert);
+
+ v1 = vert;
+ do {
+ v2 = v1->next->next;
+ size_t dist = 2;
+ do {
+ if (diagonalIsCandidate(diag_t(v1, v2))) {
+ double score = std::min(dist, loop_len - dist);
+ // double score = (v1->edge->vert->v - v2->edge->vert->v).length2();
+ heap.push_back(heap_entry_t(score, diag_t(v1, v2)));
+ }
+ v2 = v2->next;
+ ++dist;
+ } while (v2 != vert && v2 != v1->prev);
+ v1 = v1->next;
+ } while (v1->next->next != vert);
+
+ std::make_heap(heap.begin(), heap.end());
+
+ while (heap.size()) {
+ std::pop_heap(heap.begin(), heap.end());
+ heap_entry_t h = heap.back();
+ heap.pop_back();
+
+ if (testDiagonal(h.second)) return h.second;
+ }
+
+ // couldn't find a diagonal that was ok.
+ return diag_t(NULL, NULL);
+ }
+
+ void splitEdgeLoop(VertexInfo *v1, VertexInfo *v2) {
+ VertexInfo *v1_copy = new VertexInfo(new Edge<ndim>(v1->edge->vert, NULL), v1->p);
+ VertexInfo *v2_copy = new VertexInfo(new Edge<ndim>(v2->edge->vert, NULL), v2->p);
+
+ v1_copy->edge->rev = v2_copy->edge;
+ v2_copy->edge->rev = v1_copy->edge;
+
+ v1_copy->edge->prev = v1->edge->prev;
+ v1_copy->edge->next = v2->edge;
+
+ v2_copy->edge->prev = v2->edge->prev;
+ v2_copy->edge->next = v1->edge;
+
+ v1->edge->prev->next = v1_copy->edge;
+ v1->edge->prev = v2_copy->edge;
+
+ v2->edge->prev->next = v2_copy->edge;
+ v2->edge->prev = v1_copy->edge;
+
+ v1_copy->prev = v1->prev;
+ v1_copy->next = v2;
+
+ v2_copy->prev = v2->prev;
+ v2_copy->next = v1;
+
+ v1->prev->next = v1_copy;
+ v1->prev = v2_copy;
+
+ v2->prev->next = v2_copy;
+ v2->prev = v1_copy;
+ }
+
+ VertexInfo *findDegenerateEar(VertexInfo *edge) {
+ VertexInfo *v = edge;
+
+ if (v->next == v || v->next->next == v) return NULL;
+
+ do {
+ if (P(v) == P(v->next)) {
+ return v;
+ } else if (P(v) == P(v->next->next)) {
+ if (P(v->next) == P(v->next->next->next)) {
+ // a 'z' in the loop: z (a) b a b c -> remove a-b-a -> z (a) a b c -> remove a-a-b (next loop) -> z a b c
+ // z --(a)-- b
+ // /
+ // /
+ // a -- b -- d
+ return v->next;
+ } else {
+ // a 'shard' in the loop: z (a) b a c d -> remove a-b-a -> z (a) a b c d -> remove a-a-b (next loop) -> z a b c d
+ // z --(a)-- b
+ // /
+ // /
+ // a -- c -- d
+ // n.b. can only do this if the shard is pointing out of the polygon. i.e. b is outside z-a-c
+ if (!carve::geom2d::internalToAngle(P(v->next->next->next), P(v), P(v->prev), P(v->next))) {
+ return v->next;
+ }
+ }
+ }
+ v = v->next;
+ } while (v != edge);
+
+ return NULL;
+ }
+
+ // Clip off a vertex at vert, producing a triangle (with appropriate rev pointers)
+ template<typename out_iter_t>
+ VertexInfo *clipEar(VertexInfo *vert, out_iter_t out) {
+ CARVE_ASSERT(testForConvexVertex(vert->edge));
+
+ edge_t *p_edge = vert->edge->prev;
+ edge_t *n_edge = vert->edge->next;
+
+ edge_t *p_copy = new edge_t(p_edge->vert, NULL);
+ edge_t *n_copy = new edge_t(n_edge->vert, NULL);
+
+ n_copy->next = p_copy;
+ n_copy->prev = vert->edge;
+
+ p_copy->next = vert->edge;
+ p_copy->prev = n_copy;
+
+ vert->edge->next = n_copy;
+ vert->edge->prev = p_copy;
+
+ p_edge->next = n_edge;
+ n_edge->prev = p_edge;
+
+ if (p_edge->rev) {
+ p_edge->rev->rev = p_copy;
+ }
+ p_copy->rev = p_edge->rev;
+
+ p_edge->rev = n_copy;
+ n_copy->rev = p_edge;
+
+ *out++ = vert->edge;
+
+ if (vert->edge->face) {
+ if (vert->edge->face->edge == vert->edge) {
+ vert->edge->face->edge = n_edge;
+ }
+ vert->edge->face->n_edges--;
+ vert->edge->face = NULL;
+ }
+
+ vert->next->prev = vert->prev;
+ vert->prev->next = vert->next;
+
+ VertexInfo *n = vert->next;
+ delete vert;
+ return n;
+ }
+
+ template<typename out_iter_t>
+ size_t removeDegeneracies(VertexInfo *&begin, out_iter_t out) {
+ VertexInfo *v;
+ size_t count = 0;
+
+ while ((v = findDegenerateEar(begin)) != NULL) {
+ begin = clipEar(v, out);
+ ++count;
+ }
+ return count;
+ }
+
+ template<typename out_iter_t>
+ bool splitAndResume(VertexInfo *begin, out_iter_t out) {
+ diag_t diag;
+
+ diag = findDiagonal(begin);
+ if (diag == diag_t(NULL, NULL)) {
+ std::cerr << "failed to find diagonal" << std::endl;
+ return false;
+ }
+
+ // add a splitting edge between v1 and v2.
+ VertexInfo *v1 = diag.first;
+ VertexInfo *v2 = diag.second;
+
+ splitEdgeLoop(v1, v2);
+
+ v1->recompute();
+ v1->next->recompute();
+
+ v2->recompute();
+ v2->next->recompute();
+
+#if defined(CARVE_DEBUG)
+ dumpPoly(v1->edge, v2->edge);
+#endif
+
+#if defined(CARVE_DEBUG)
+ CARVE_ASSERT(!checkSelfIntersection(v1));
+ CARVE_ASSERT(!checkSelfIntersection(v2));
+#endif
+
+ bool r1 = doTriangulate(v1, out);
+ bool r2 = doTriangulate(v2, out);
+
+ return r1 && r2;
+ }
+
+ template<typename out_iter_t>
+ bool doTriangulate(VertexInfo *begin, out_iter_t out);
+
+ TriangulationData(proj_t _proj) : proj(_proj) {
+ }
+
+ VertexInfo *init(edge_t *begin) {
+ edge_t *e = begin;
+ VertexInfo *head = NULL, *tail = NULL, *v;
+ do {
+ VertexInfo *v = new VertexInfo(e, proj(e->vert->v));
+ if (tail != NULL) {
+ tail->next = v;
+ v->prev = tail;
+ } else {
+ head = v;
+ }
+ tail = v;
+
+ e = e->next;
+ } while (e != begin);
+ tail->next = head;
+ head->prev = tail;
+
+ v = head;
+ do {
+ v->recompute();
+ v = v->next;
+ } while (v != head);
+ return head;
+ }
+
+ class EarQueue {
+ TriangulationData &data;
+ std::vector<VertexInfo *> queue;
+
+ void checkheap() {
+#ifdef __GNUC__
+ CARVE_ASSERT(std::__is_heap(queue.begin(), queue.end(), order_by_score()));
+#endif
+ }
+
+ public:
+ EarQueue(TriangulationData &_data) : data(_data), queue() {
+ }
+
+ size_t size() const {
+ return queue.size();
+ }
+
+ void push(VertexInfo *v) {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ queue.push_back(v);
+ std::push_heap(queue.begin(), queue.end(), order_by_score());
+ }
+
+ VertexInfo *pop() {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ std::pop_heap(queue.begin(), queue.end(), order_by_score());
+ VertexInfo *v = queue.back();
+ queue.pop_back();
+ return v;
+ }
+
+ void remove(VertexInfo *v) {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ CARVE_ASSERT(std::find(queue.begin(), queue.end(), v) != queue.end());
+ double score = v->score;
+ if (v != queue[0]) {
+ v->score = queue[0]->score + 1;
+ std::make_heap(queue.begin(), queue.end(), order_by_score());
+ }
+ CARVE_ASSERT(v == queue[0]);
+ std::pop_heap(queue.begin(), queue.end(), order_by_score());
+ CARVE_ASSERT(queue.back() == v);
+ queue.pop_back();
+ v->score = score;
+ }
+
+ void changeScore(VertexInfo *v, double s_from, double s_to) {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ CARVE_ASSERT(std::find(queue.begin(), queue.end(), v) != queue.end());
+ if (s_from != s_to) {
+ v->score = s_to;
+ std::make_heap(queue.begin(), queue.end(), order_by_score());
+ }
+ }
+
+ void update(VertexInfo *v) {
+ VertexInfo pre = *v;
+ v->recompute();
+ VertexInfo post = *v;
+
+ if (pre.isCandidate()) {
+ if (post.isCandidate()) {
+ changeScore(v, pre.score, post.score);
+ } else {
+ remove(v);
+ }
+ } else {
+ if (post.isCandidate()) {
+ push(v);
+ }
+ }
+ }
+ };
+
+
+ bool checkSelfIntersection(const VertexInfo *vert) {
+ const VertexInfo *v1 = vert;
+ do {
+ const VertexInfo *v2 = vert->next->next;
+ do {
+ carve::geom2d::P2 a = v1->p;
+ carve::geom2d::P2 b = v1->next->p;
+ CARVE_ASSERT(a == proj(v1->edge->vert->v));
+ CARVE_ASSERT(b == proj(v1->edge->next->vert->v));
+
+ carve::geom2d::P2 c = v2->p;
+ carve::geom2d::P2 d = v2->next->p;
+ CARVE_ASSERT(c == proj(v2->edge->vert->v));
+ CARVE_ASSERT(d == proj(v2->edge->next->vert->v));
+
+ bool intersected = false;
+ if (a == c || a == d || b == c || b == d) {
+ } else {
+ intersected = true;
+
+ double l_a1 = carve::geom2d::orient2d(a, b, c);
+ double l_a2 = carve::geom2d::orient2d(a, b, d);
+ if (l_a1 > l_a2) std::swap(l_a1, l_a2);
+ if (l_a2 <= 0.0 || l_a1 >= 0.0) {
+ intersected = false;
+ }
+
+ double l_b1 = carve::geom2d::orient2d(c, d, a);
+ double l_b2 = carve::geom2d::orient2d(c, d, b);
+ if (l_b1 > l_b2) std::swap(l_b1, l_b2);
+ if (l_b2 <= 0.0 || l_b1 >= 0.0) {
+ intersected = false;
+ }
+
+ if (l_a1 == 0.0 && l_a2 == 0.0 && l_b1 == 0.0 && l_b2 == 0.0) {
+ if (std::max(a.x, b.x) >= std::min(c.x, d.x) && std::min(a.x, b.x) <= std::max(c.x, d.x)) {
+ // colinear and intersecting.
+ } else {
+ // colinear but not intersecting.
+ intersected = false;
+ }
+ }
+ }
+ if (intersected) {
+ carve::geom2d::P2 p[4] = { a, b, c, d };
+ carve::geom::aabb<2> A(p, p+4);
+ A.expand(5);
+
+ std::cerr << "\
+<?xml version=\"1.0\" encoding=\"utf-8\"?>\n\
+<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n\
+<svg version=\"1.1\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n\
+ x=\"" << A.min().x << "px\" y=\"" << A.min().y << "\"\n\
+ width=\"" << A.extent.x * 2 << "\" height=\"" << A.extent.y * 2 << "\"\n\
+ viewBox=\"" << A.min().x << " " << A.min().y << " " << A.max().x << " " << A.max().y << "\"\n\
+ enable-background=\"new " << A.min().x << " " << A.min().y << " " << A.max().x << " " << A.max().y << "\"\n\
+ xml:space=\"preserve\">\n\
+<line fill=\"none\" stroke=\"#000000\" x1=\"" << a.x << "\" y1=\"" << a.y << "\" x2=\"" << b.x << "\" y2=\"" << b.y << "\"/>\n\
+<line fill=\"none\" stroke=\"#000000\" x1=\"" << c.x << "\" y1=\"" << c.y << "\" x2=\"" << d.x << "\" y2=\"" << d.y << "\"/>\n\
+</svg>\n";
+ return true;
+ }
+ v2 = v2->next;
+ } while (v2 != vert);
+ v1 = v1->next;
+ } while (v1 != vert);
+ return false;
+ }
+
+ carve::geom::aabb<2> make2d(const edge_t *edge, std::vector<geom2d::P2> &points) {
+ const edge_t *e = edge;
+ do {
+ points.push_back(P(e));
+ e = e->next;
+ } while(e != edge);
+ return carve::geom::aabb<2>(points.begin(), points.end());
+ }
+
+ void dumpLoop(std::ostream &out,
+ const std::vector<carve::geom2d::P2> &points,
+ const char *fill,
+ const char *stroke,
+ double stroke_width,
+ double offx,
+ double offy,
+ double scale
+ ) {
+ out << "<polygon fill=\"" << fill << "\" stroke=\"" << stroke << "\" stroke-width=\"" << stroke_width << "\" points=\"";
+ for (size_t i = 0; i < points.size(); ++i) {
+ if (i) out << ' ';
+ double x, y;
+ x = scale * (points[i].x - offx) + 5;
+ y = scale * (points[i].y - offy) + 5;
+ out << x << ',' << y;
+ }
+ out << "\" />" << std::endl;
+ }
+
+ void dumpPoly(const edge_t *edge, const edge_t *edge2 = NULL, const char *pfx = "poly_") {
+ static int step = 0;
+ std::ostringstream filename;
+ filename << pfx << step++ << ".svg";
+ std::cerr << "dumping to " << filename.str() << std::endl;
+ std::ofstream out(filename.str().c_str());
+
+ std::vector <geom2d::P2> points, points2;
+
+ carve::geom::aabb<2> A = make2d(edge, points);
+ if (edge2) {
+ A.unionAABB(make2d(edge2, points2));
+ }
+ A.expand(5);
+
+ out << "\
+<?xml version=\"1.0\"?>\n\
+<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n\
+<svg\n\
+ x=\"" << A.min().x << "px\" y=\"" << A.min().y << "\"\n\
+ width=\"" << A.extent.x * 2 << "\" height=\"" << A.extent.y * 2 << "\"\n\
+ viewBox=\"" << A.min().x << " " << A.min().y << " " << A.max().x << " " << A.max().y << "\"\n\
+ enable-background=\"new " << A.min().x << " " << A.min().y << " " << A.max().x << " " << A.max().y << "\"\n\
+ xml:space=\"preserve\">\n";
+
+ dumpLoop(out, points, "rgb(0,0,0)", "blue", 0.1, 0, 0, 1);
+ if (points2.size()) dumpLoop(out, points2, "rgb(255,0,0)", "blue", 0.1, 0, 0, 1);
+
+ out << "</svg>" << std::endl;
+ }
+ };
+
+ template<unsigned ndim, typename proj_t>
+ template<typename out_iter_t>
+ bool TriangulationData<ndim, proj_t>::doTriangulate(VertexInfo *begin, out_iter_t out) {
+ EarQueue vq(*this);
+
+#if defined(CARVE_DEBUG)
+ dumpPoly(begin->edge, NULL, "input_");
+ CARVE_ASSERT(!checkSelfIntersection(begin));
+#endif
+
+ VertexInfo *v = begin, *n, *p;
+ size_t remain = 0;
+ do {
+ if (v->isCandidate()) vq.push(v);
+ v = v->next;
+ remain++;
+ } while (v != begin);
+
+ while (remain > 3 && vq.size()) {
+ { static int __c = 0; if (++__c % 50 == 0) { break; } }
+ v = vq.pop();
+ if (!v->isClipable()) {
+ v->fail();
+ continue;
+ }
+
+ continue_clipping:
+ n = clipEar(v, out);
+ p = n->prev;
+ begin = n;
+ if (--remain == 3) break;
+ // if (checkSelfIntersection(begin)) {
+ // dumpPoly(begin->edge, NULL, "badclip_");
+ // CARVE_ASSERT(!!!"clip created self intersection");
+ // }
+
+ vq.update(n);
+ vq.update(p);
+
+ if (n->score < p->score) { std::swap(n, p); }
+ if (n->score > 0.25 && n->isCandidate() && n->isClipable()) {
+ vq.remove(n);
+ v = n;
+ goto continue_clipping;
+ }
+ if (p->score > 0.25 && p->isCandidate() && p->isClipable()) {
+ vq.remove(p);
+ v = p;
+ goto continue_clipping;
+ }
+ }
+
+ bool ret = false;
+
+#if defined(CARVE_DEBUG)
+ dumpPoly(begin->edge, NULL, "remainder_");
+#endif
+
+ if (remain > 3) {
+ std::vector<carve::geom2d::P2> temp;
+ temp.reserve(remain);
+ VertexInfo *v = begin;
+ do {
+ temp.push_back(P(v));
+ v = v->next;
+ } while (v != begin);
+
+ if (carve::geom2d::signedArea(temp) == 0) {
+ // XXX: this test will fail in cases where the boundary is
+ // twisted so that a negative area balances a positive area.
+ std::cerr << "got to here" << std::endl;
+ dumpPoly(begin->edge, NULL, "interesting_case_");
+ goto done;
+ }
+ }
+
+ if (remain > 3) {
+ remain -= removeDegeneracies(begin, out);
+ }
+
+ if (remain > 3) {
+ return splitAndResume(begin, out);
+ }
+
+ { double a = loopArea(begin->edge, proj); CARVE_ASSERT(a <= 0.0); }
+ *out++ = begin->edge;
+
+ v = begin;
+ do {
+ n = v->next;
+ delete v;
+ v = n;
+ } while (v != begin);
+
+ ret = true;
+
+ done:
+ return ret;
+ }
+ }
+
+
+
+ template<unsigned ndim, typename proj_t, typename out_iter_t>
+ void triangulate(Edge<ndim> *edge, proj_t proj, out_iter_t out) {
+ detail::TriangulationData<ndim, proj_t> triangulator(proj);
+ typename detail::TriangulationData<ndim, proj_t>::VertexInfo *v = triangulator.init(edge);
+ triangulator.removeDegeneracies(v, out);
+ triangulator.doTriangulate(v, out);
+ }
+
+ // given edge a-b, part of triangles a-b-c and b-a-d, make triangles c-a-d and b-c-d
+ template<unsigned ndim>
+ void flipTriEdge(Edge<ndim> *edge) {
+ CARVE_ASSERT(edge->rev != NULL);
+ CARVE_ASSERT(edge->face->nEdges() == 3);
+ CARVE_ASSERT(edge->rev->face->nEdges() == 3);
+
+ CARVE_ASSERT(edge->prev != edge);
+ CARVE_ASSERT(edge->next != edge);
+ CARVE_ASSERT(edge->rev->prev != edge->rev);
+ CARVE_ASSERT(edge->rev->next != edge->rev);
+
+ typedef Edge<ndim> edge_t;
+ typedef Face<ndim> face_t;
+
+ edge_t *t1[3], *t2[3];
+ face_t *f1, *f2;
+
+ t1[1] = edge; t2[1] = edge->rev;
+ t1[0] = t1[1]->prev; t1[2] = t1[1]->next;
+ t2[0] = t2[1]->prev; t2[2] = t2[1]->next;
+
+ f1 = t1[1]->face; f2 = t2[1]->face;
+
+ // std::cerr << t1[0]->vert << "->" << t1[1]->vert << "->" << t1[2]->vert << std::endl;
+ // std::cerr << t2[0]->vert << "->" << t2[1]->vert << "->" << t2[2]->vert << std::endl;
+
+ t1[1]->vert = t2[0]->vert;
+ t2[1]->vert = t1[0]->vert;
+
+ // std::cerr << t1[0]->vert << "->" << t2[2]->vert << "->" << t1[1]->vert << std::endl;
+ // std::cerr << t2[0]->vert << "->" << t1[2]->vert << "->" << t2[1]->vert << std::endl;
+
+ detail::link(t1[0], t2[2], t1[1], f1);
+ detail::link(t2[0], t1[2], t2[1], f2);
+
+ if (t1[0]->rev) CARVE_ASSERT(t1[0]->v2() == t1[0]->rev->v1());
+ if (t2[0]->rev) CARVE_ASSERT(t2[0]->v2() == t2[0]->rev->v1());
+ if (t1[2]->rev) CARVE_ASSERT(t1[2]->v2() == t1[2]->rev->v1());
+ if (t2[2]->rev) CARVE_ASSERT(t2[2]->v2() == t2[2]->rev->v1());
+ }
+
+ template<unsigned ndim>
+ void splitEdgeLoop(Edge<ndim> *v1, Edge<ndim> *v2) {
+ // v1 and v2 end up on different sides of the split.
+ Edge<ndim> *v1_copy = new Edge<ndim>(v1->vert, NULL);
+ Edge<ndim> *v2_copy = new Edge<ndim>(v2->vert, NULL);
+
+ v1_copy->rev = v2_copy;
+ v2_copy->rev = v1_copy;
+
+ v1_copy->prev = v1->prev;
+ v1_copy->next = v2;
+
+ v2_copy->prev = v2->prev;
+ v2_copy->next = v1;
+
+ v1->prev->next = v1_copy;
+ v1->prev = v2_copy;
+
+ v2->prev->next = v2_copy;
+ v2->prev = v1_copy;
+ }
+
+ template<unsigned ndim>
+ Edge<ndim> *clipVertex(Edge<ndim> *edge) {
+ Edge<ndim> *prev = edge->prev;
+ Edge<ndim> *next = edge->next;
+ splitEdgeLoop(edge->prev, edge->next);
+ return next;
+ }
+ }
+}
diff --git a/extern/carve/include/carve/mesh_simplify.hpp b/extern/carve/include/carve/mesh_simplify.hpp
new file mode 100644
index 00000000000..1c5169caf58
--- /dev/null
+++ b/extern/carve/include/carve/mesh_simplify.hpp
@@ -0,0 +1,1574 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+#include <carve/mesh.hpp>
+#include <carve/mesh_ops.hpp>
+#include <carve/geom2d.hpp>
+#include <carve/heap.hpp>
+#include <carve/rtree.hpp>
+#include <carve/triangle_intersection.hpp>
+
+#include <fstream>
+#include <string>
+#include <utility>
+#include <set>
+#include <algorithm>
+#include <vector>
+
+#include "write_ply.hpp"
+
+
+namespace carve {
+ namespace mesh {
+
+
+ class MeshSimplifier {
+ typedef carve::mesh::MeshSet<3> meshset_t;
+ typedef carve::mesh::Mesh<3> mesh_t;
+ typedef mesh_t::vertex_t vertex_t;
+ typedef vertex_t::vector_t vector_t;
+ typedef mesh_t::edge_t edge_t;
+ typedef mesh_t::face_t face_t;
+ typedef face_t::aabb_t aabb_t;
+
+ typedef carve::geom::RTreeNode<3, carve::mesh::Face<3> *> face_rtree_t;
+
+
+ struct EdgeInfo {
+ edge_t *edge;
+ double delta_v;
+
+ double c[4];
+ double l[2], t1[2], t2[2];
+ size_t heap_idx;
+
+ void update() {
+ const vertex_t *v1 = edge->vert;
+ const vertex_t *v2 = edge->next->vert;
+ const vertex_t *v3 = edge->next->next->vert;
+ const vertex_t *v4 = edge->rev ? edge->rev->next->next->vert : NULL;
+
+ l[0] = (v1->v - v2->v).length();
+
+ t1[0] = (v3->v - v1->v).length();
+ t1[1] = (v3->v - v2->v).length();
+
+ c[0] = std::max((t1[0] + t1[1]) / l[0] - 1.0, 0.0);
+
+ if (v4) {
+ l[1] = (v3->v - v4->v).length();
+ t2[0] = (v4->v - v1->v).length();
+ t2[1] = (v4->v - v2->v).length();
+ c[1] = std::max((t2[0] + t2[1]) / l[0] - 1.0, 0.0);
+ c[2] = std::max((t1[0] + t2[0]) / l[1] - 1.0, 0.0);
+ c[3] = std::max((t1[1] + t2[1]) / l[1] - 1.0, 0.0);
+ delta_v = carve::geom3d::tetrahedronVolume(v1->v, v2->v, v3->v, v4->v);
+ } else {
+ l[1] = 0.0;
+ t2[0] = t2[1] = 0.0;
+ c[1] = c[2] = c[3] = 0.0;
+ delta_v = 0.0;
+ }
+ }
+
+ EdgeInfo(edge_t *e) : edge(e) {
+ update();
+ }
+
+ EdgeInfo() : edge(NULL) {
+ delta_v = 0.0;
+ c[0] = c[1] = c[2] = c[3] = 0.0;
+ l[0] = l[1] = 0.0;
+ t1[0] = t1[1] = 0.0;
+ t2[0] = t2[1] = 0.0;
+ }
+
+ struct NotifyPos {
+ void operator()(EdgeInfo *edge, size_t pos) const { edge->heap_idx = pos; }
+ void operator()(EdgeInfo &edge, size_t pos) const { edge.heap_idx = pos; }
+ };
+ };
+
+
+
+ struct FlippableBase {
+ double min_dp;
+
+ FlippableBase(double _min_dp = 0.0) : min_dp(_min_dp) {
+ }
+
+ bool open(const EdgeInfo *e) const {
+ return e->edge->rev == NULL;
+ }
+
+ bool wouldCreateDegenerateEdge(const EdgeInfo *e) const {
+ return e->edge->prev->vert == e->edge->rev->prev->vert;
+ }
+
+ bool flippable_DotProd(const EdgeInfo *e) const {
+ using carve::geom::dot;
+ using carve::geom::cross;
+
+ if (open(e)) return false;
+
+ edge_t *edge = e->edge;
+
+ const vertex_t *v1 = edge->vert;
+ const vertex_t *v2 = edge->next->vert;
+ const vertex_t *v3 = edge->next->next->vert;
+ const vertex_t *v4 = edge->rev->next->next->vert;
+
+ if (dot(cross(v3->v - v2->v, v1->v - v2->v).normalized(),
+ cross(v4->v - v1->v, v2->v - v1->v).normalized()) < min_dp) return false;
+
+ if (dot(cross(v3->v - v4->v, v1->v - v4->v).normalized(),
+ cross(v4->v - v3->v, v2->v - v3->v).normalized()) < min_dp) return false;
+
+ return true;
+ }
+
+ virtual bool canFlip(const EdgeInfo *e) const {
+ return !open(e) && !wouldCreateDegenerateEdge(e) && score(e) > 0.0;
+ }
+
+ virtual double score(const EdgeInfo *e) const {
+ return std::min(e->c[2], e->c[3]) - std::min(e->c[0], e->c[1]);
+ }
+
+ class Priority {
+ Priority &operator=(const Priority &);
+ const FlippableBase &flip;
+
+ public:
+ Priority(const FlippableBase &_flip) : flip(_flip) {}
+ bool operator()(const EdgeInfo *a, const EdgeInfo *b) const { return flip.score(a) > flip.score(b); }
+ };
+
+ Priority priority() const {
+ return Priority(*this);
+ }
+ };
+
+
+
+ struct FlippableConservative : public FlippableBase {
+ FlippableConservative() : FlippableBase(0.0) {
+ }
+
+ bool connectsAlmostCoplanarFaces(const EdgeInfo *e) const {
+ // XXX: remove hard coded constants.
+ if (e->c[0] < 1e-10 || e->c[1] < 1e-10) return true;
+ return fabs(carve::geom::dot(e->edge->face->plane.N, e->edge->rev->face->plane.N) - 1.0) < 1e-10;
+ }
+
+ bool connectsExactlyCoplanarFaces(const EdgeInfo *e) const {
+ edge_t *edge = e->edge;
+ return
+ carve::geom3d::orient3d(edge->vert->v,
+ edge->next->vert->v,
+ edge->next->next->vert->v,
+ edge->rev->next->next->vert->v) == 0.0 &&
+ carve::geom3d::orient3d(edge->rev->vert->v,
+ edge->rev->next->vert->v,
+ edge->rev->next->next->vert->v,
+ edge->next->next->vert->v) == 0.0;
+ }
+
+ virtual bool canFlip(const EdgeInfo *e) const {
+ return FlippableBase::canFlip(e) && connectsExactlyCoplanarFaces(e) && flippable_DotProd(e);
+ }
+ };
+
+
+
+ struct FlippableColinearPair : public FlippableBase {
+
+ FlippableColinearPair() {
+ }
+
+
+ virtual double score(const EdgeInfo *e) const {
+ return e->l[0] - e->l[1];
+ }
+
+ virtual bool canFlip(const EdgeInfo *e) const {
+ if (!FlippableBase::canFlip(e)) return false;
+
+ if (e->c[0] > 1e-3 || e->c[1] > 1e-3) return false;
+
+ return true;
+ }
+ };
+
+
+
+ struct Flippable : public FlippableBase {
+ double min_colinearity;
+ double min_delta_v;
+
+ Flippable(double _min_colinearity,
+ double _min_delta_v,
+ double _min_normal_angle) :
+ FlippableBase(cos(_min_normal_angle)),
+ min_colinearity(_min_colinearity),
+ min_delta_v(_min_delta_v) {
+ }
+
+
+ virtual bool canFlip(const EdgeInfo *e) const {
+ if (!FlippableBase::canFlip(e)) return false;
+
+ if (fabs(e->delta_v) > min_delta_v) return false;
+
+ // if (std::min(e->c[0], e->c[1]) > min_colinearity) return false;
+
+ return flippable_DotProd(e);
+ }
+ };
+
+
+
+ struct EdgeMerger {
+ double min_edgelen;
+
+ virtual bool canMerge(const EdgeInfo *e) const {
+ return e->l[0] <= min_edgelen;
+ }
+
+ EdgeMerger(double _min_edgelen) : min_edgelen(_min_edgelen) {
+ }
+
+ double score(const EdgeInfo *e) const {
+ return min_edgelen - e->l[0];
+ }
+
+ class Priority {
+ Priority &operator=(const Priority &);
+
+ public:
+ const EdgeMerger &merger;
+ Priority(const EdgeMerger &_merger) : merger(_merger) {
+ }
+ bool operator()(const EdgeInfo *a, const EdgeInfo *b) const {
+ // collapse edges in order from shortest to longest.
+ return merger.score(a) < merger.score(b);
+ }
+ };
+
+ Priority priority() const {
+ return Priority(*this);
+ }
+ };
+
+
+
+ typedef std::unordered_map<edge_t *, EdgeInfo *> edge_info_map_t;
+ std::unordered_map<edge_t *, EdgeInfo *> edge_info;
+
+
+
+ void initEdgeInfo(mesh_t *mesh) {
+ for (size_t i = 0; i < mesh->faces.size(); ++i) {
+ edge_t *e = mesh->faces[i]->edge;
+ do {
+ edge_info[e] = new EdgeInfo(e);
+ e = e->next;
+ } while (e != mesh->faces[i]->edge);
+ }
+ }
+
+
+
+ void initEdgeInfo(meshset_t *meshset) {
+ for (size_t m = 0; m < meshset->meshes.size(); ++m) {
+ mesh_t *mesh = meshset->meshes[m];
+ initEdgeInfo(mesh);
+ }
+ }
+
+
+
+ void clearEdgeInfo() {
+ for (edge_info_map_t::iterator i = edge_info.begin(); i != edge_info.end(); ++i) {
+ delete (*i).second;
+ }
+ }
+
+
+
+ void updateEdgeFlipHeap(std::vector<EdgeInfo *> &edge_heap,
+ edge_t *edge,
+ const FlippableBase &flipper) {
+ std::unordered_map<edge_t *, EdgeInfo *>::const_iterator i = edge_info.find(edge);
+ CARVE_ASSERT(i != edge_info.end());
+ EdgeInfo *e = (*i).second;
+
+ bool heap_pre = e->heap_idx != ~0U;
+ (*i).second->update();
+ bool heap_post = edge->v1() < edge->v2() && flipper.canFlip(e);
+
+ if (!heap_pre && heap_post) {
+ edge_heap.push_back(e);
+ carve::heap::push_heap(edge_heap.begin(),
+ edge_heap.end(),
+ flipper.priority(),
+ EdgeInfo::NotifyPos());
+ } else if (heap_pre && !heap_post) {
+ CARVE_ASSERT(edge_heap[e->heap_idx] == e);
+ carve::heap::remove_heap(edge_heap.begin(),
+ edge_heap.end(),
+ edge_heap.begin() + e->heap_idx,
+ flipper.priority(),
+ EdgeInfo::NotifyPos());
+ CARVE_ASSERT(edge_heap.back() == e);
+ edge_heap.pop_back();
+ e->heap_idx = ~0U;
+ } else if (heap_pre && heap_post) {
+ CARVE_ASSERT(edge_heap[e->heap_idx] == e);
+ carve::heap::adjust_heap(edge_heap.begin(),
+ edge_heap.end(),
+ edge_heap.begin() + e->heap_idx,
+ flipper.priority(),
+ EdgeInfo::NotifyPos());
+ CARVE_ASSERT(edge_heap[e->heap_idx] == e);
+ }
+ }
+
+
+ std::string vk(const vertex_t *v1,
+ const vertex_t *v2,
+ const vertex_t *v3) {
+ const vertex_t *v[3];
+ v[0] = v1; v[1] = v2; v[2] = v3;
+ std::sort(v, v+3);
+ std::ostringstream s;
+ s << v[0] << ";" << v[1] << ";" << v[2];
+ return s.str();
+ }
+
+ std::string vk(const face_t *f) { return vk(f->edge->vert, f->edge->next->vert, f->edge->next->next->vert); }
+
+ int mapTriangle(const face_t *face,
+ const vertex_t *remap1, const vertex_t *remap2,
+ const vector_t &tgt,
+ vector_t tri[3]) {
+ edge_t *edge = face->edge;
+ int n_remaps = 0;
+ for (size_t i = 0; i < 3; edge = edge->next, ++i) {
+ if (edge->vert == remap1) { tri[i] = tgt; ++n_remaps; }
+ else if (edge->vert == remap2) { tri[i] = tgt; ++n_remaps; }
+ else { tri[i] = edge->vert->v; }
+ }
+ return n_remaps;
+ }
+
+ template<typename iter1_t, typename iter2_t>
+ int countIntersectionPairs(iter1_t fabegin, iter1_t faend,
+ iter2_t fbbegin, iter2_t fbend,
+ const vertex_t *remap1, const vertex_t *remap2,
+ const vector_t &tgt) {
+ vector_t tri_a[3], tri_b[3];
+ int remap_a, remap_b;
+ std::set<std::pair<const face_t *, const face_t *> > ints;
+
+ for (iter1_t i = fabegin; i != faend; ++i) {
+ remap_a = mapTriangle(*i, remap1, remap2, tgt, tri_a);
+ if (remap_a >= 2) continue;
+ for (iter2_t j = fbbegin; j != fbend; ++j) {
+ remap_b = mapTriangle(*j, remap1, remap2, tgt, tri_b);
+ if (remap_b >= 2) continue;
+ if (carve::geom::triangle_intersection_exact(tri_a, tri_b) == carve::geom::TR_TYPE_INT) {
+ ints.insert(std::make_pair(std::min(*i, *j), std::max(*i, *j)));
+ }
+ }
+ }
+
+ return ints.size();
+ }
+
+ int countIntersections(const vertex_t *v1,
+ const vertex_t *v2,
+ const vertex_t *v3,
+ const std::vector<face_t *> &faces) {
+ int n_int = 0;
+ vector_t tri_a[3], tri_b[3];
+ tri_a[0] = v1->v;
+ tri_a[1] = v2->v;
+ tri_a[2] = v3->v;
+
+ for (std::vector<face_t *>::const_iterator i = faces.begin(); i != faces.end(); ++i) {
+ face_t *fb = *i;
+ if (fb->nEdges() != 3) continue;
+ tri_b[0] = fb->edge->vert->v;
+ tri_b[1] = fb->edge->next->vert->v;
+ tri_b[2] = fb->edge->next->next->vert->v;
+
+ if (carve::geom::triangle_intersection_exact(tri_a, tri_b) == carve::geom::TR_TYPE_INT) {
+ n_int++;
+ }
+ }
+ return n_int;
+ }
+
+
+
+ int _findSelfIntersections(const face_rtree_t *a_node,
+ const face_rtree_t *b_node,
+ bool descend_a = true) {
+ int r = 0;
+
+ if (!a_node->bbox.intersects(b_node->bbox)) {
+ return 0;
+ }
+
+ if (a_node->child && (descend_a || !b_node->child)) {
+ for (face_rtree_t *node = a_node->child; node; node = node->sibling) {
+ r += _findSelfIntersections(node, b_node, false);
+ }
+ } else if (b_node->child) {
+ for (face_rtree_t *node = b_node->child; node; node = node->sibling) {
+ r += _findSelfIntersections(a_node, node, true);
+ }
+ } else {
+ for (size_t i = 0; i < a_node->data.size(); ++i) {
+ face_t *fa = a_node->data[i];
+ if (fa->nVertices() != 3) continue;
+
+ aabb_t aabb_a = fa->getAABB();
+
+ vector_t tri_a[3];
+ tri_a[0] = fa->edge->vert->v;
+ tri_a[1] = fa->edge->next->vert->v;
+ tri_a[2] = fa->edge->next->next->vert->v;
+
+ if (!aabb_a.intersects(b_node->bbox)) continue;
+
+ for (size_t j = 0; j < b_node->data.size(); ++j) {
+ face_t *fb = b_node->data[j];
+ if (fb->nVertices() != 3) continue;
+
+ vector_t tri_b[3];
+ tri_b[0] = fb->edge->vert->v;
+ tri_b[1] = fb->edge->next->vert->v;
+ tri_b[2] = fb->edge->next->next->vert->v;
+
+ if (carve::geom::triangle_intersection_exact(tri_a, tri_b) == carve::geom::TR_TYPE_INT) {
+ ++r;
+ }
+ }
+ }
+ }
+
+ return r;
+ }
+
+
+
+ int countSelfIntersections(meshset_t *meshset) {
+ int n_ints = 0;
+ face_rtree_t *tree = face_rtree_t::construct_STR(meshset->faceBegin(), meshset->faceEnd(), 4, 4);
+
+ for (meshset_t::face_iter f = meshset->faceBegin(); f != meshset->faceEnd(); ++f) {
+ face_t *fa = *f;
+ if (fa->nVertices() != 3) continue;
+
+ vector_t tri_a[3];
+ tri_a[0] = fa->edge->vert->v;
+ tri_a[1] = fa->edge->next->vert->v;
+ tri_a[2] = fa->edge->next->next->vert->v;
+
+ std::vector<face_t *> near_faces;
+ tree->search(fa->getAABB(), std::back_inserter(near_faces));
+
+ for (size_t f2 = 0; f2 < near_faces.size(); ++f2) {
+ const face_t *fb = near_faces[f2];
+ if (fb->nVertices() != 3) continue;
+
+ if (fa >= fb) continue;
+
+ vector_t tri_b[3];
+ tri_b[0] = fb->edge->vert->v;
+ tri_b[1] = fb->edge->next->vert->v;
+ tri_b[2] = fb->edge->next->next->vert->v;
+
+ if (carve::geom::triangle_intersection_exact(tri_a, tri_b) == carve::geom::TR_TYPE_INT) {
+ ++n_ints;
+ }
+ }
+ }
+
+ delete tree;
+
+ return n_ints;
+ }
+
+ size_t flipEdges(meshset_t *mesh,
+ const FlippableBase &flipper) {
+ face_rtree_t *tree = face_rtree_t::construct_STR(mesh->faceBegin(), mesh->faceEnd(), 4, 4);
+
+ size_t n_mods = 0;
+
+ std::vector<EdgeInfo *> edge_heap;
+
+ edge_heap.reserve(edge_info.size());
+
+ for (edge_info_map_t::iterator i = edge_info.begin();
+ i != edge_info.end();
+ ++i) {
+ EdgeInfo *e = (*i).second;
+ e->update();
+ if (e->edge->v1() < e->edge->v2() && flipper.canFlip(e)) {
+ edge_heap.push_back(e);
+ } else {
+ e->heap_idx = ~0U;
+ }
+ }
+
+ carve::heap::make_heap(edge_heap.begin(),
+ edge_heap.end(),
+ flipper.priority(),
+ EdgeInfo::NotifyPos());
+
+ while (edge_heap.size()) {
+// std::cerr << "test" << std::endl;
+// for (size_t m = 0; m < mesh->meshes.size(); ++m) {
+// for (size_t f = 0; f < mesh->meshes[m]->faces.size(); ++f) {
+// if (mesh->meshes[m]->faces[f]->edge) mesh->meshes[m]->faces[f]->edge->validateLoop();
+// }
+// }
+
+ carve::heap::pop_heap(edge_heap.begin(),
+ edge_heap.end(),
+ flipper.priority(),
+ EdgeInfo::NotifyPos());
+ EdgeInfo *e = edge_heap.back();
+// std::cerr << "flip " << e << std::endl;
+ edge_heap.pop_back();
+ e->heap_idx = ~0U;
+
+ aabb_t aabb;
+ aabb = e->edge->face->getAABB();
+ aabb.unionAABB(e->edge->rev->face->getAABB());
+
+ std::vector<face_t *> overlapping;
+ tree->search(aabb, std::back_inserter(overlapping));
+
+ // overlapping.erase(e->edge->face);
+ // overlapping.erase(e->edge->rev->face);
+
+ const vertex_t *v1 = e->edge->vert;
+ const vertex_t *v2 = e->edge->next->vert;
+ const vertex_t *v3 = e->edge->next->next->vert;
+ const vertex_t *v4 = e->edge->rev->next->next->vert;
+
+ int n_int1 = countIntersections(v1, v2, v3, overlapping);
+ int n_int2 = countIntersections(v2, v1, v4, overlapping);
+ int n_int3 = countIntersections(v3, v4, v2, overlapping);
+ int n_int4 = countIntersections(v4, v3, v1, overlapping);
+
+ if ((n_int3 + n_int4) - (n_int1 + n_int2) > 0) {
+ std::cerr << "delta[ints] = " << (n_int3 + n_int4) - (n_int1 + n_int2) << std::endl;
+ // avoid creating a self intersection.
+ continue;
+ }
+
+ n_mods++;
+ CARVE_ASSERT(flipper.canFlip(e));
+ edge_info[e->edge]->update();
+ edge_info[e->edge->rev]->update();
+
+ carve::mesh::flipTriEdge(e->edge);
+
+ tree->updateExtents(aabb);
+
+ updateEdgeFlipHeap(edge_heap, e->edge, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->rev, flipper);
+
+ CARVE_ASSERT(!flipper.canFlip(e));
+
+ updateEdgeFlipHeap(edge_heap, e->edge->next, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->next->next, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->rev->next, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->rev->next->next, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->next->rev, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->next->next->rev, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->rev->next->rev, flipper);
+ updateEdgeFlipHeap(edge_heap, e->edge->rev->next->next->rev, flipper);
+ }
+
+ delete tree;
+
+ return n_mods;
+ }
+
+
+
+ void removeFromEdgeMergeHeap(std::vector<EdgeInfo *> &edge_heap,
+ EdgeInfo *edge,
+ const EdgeMerger &merger) {
+ if (edge->heap_idx != ~0U) {
+ CARVE_ASSERT(edge_heap[edge->heap_idx] == edge);
+ carve::heap::remove_heap(edge_heap.begin(),
+ edge_heap.end(),
+ edge_heap.begin() + edge->heap_idx,
+ merger.priority(),
+ EdgeInfo::NotifyPos());
+ CARVE_ASSERT(edge_heap.back() == edge);
+ edge_heap.pop_back();
+ edge->heap_idx = ~0U;
+ }
+ }
+
+ void updateEdgeMergeHeap(std::vector<EdgeInfo *> &edge_heap,
+ EdgeInfo *edge,
+ const EdgeMerger &merger) {
+ bool heap_pre = edge->heap_idx != ~0U;
+ edge->update();
+ bool heap_post = merger.canMerge(edge);
+
+ if (!heap_pre && heap_post) {
+ edge_heap.push_back(edge);
+ carve::heap::push_heap(edge_heap.begin(),
+ edge_heap.end(),
+ merger.priority(),
+ EdgeInfo::NotifyPos());
+ } else if (heap_pre && !heap_post) {
+ CARVE_ASSERT(edge_heap[edge->heap_idx] == edge);
+ carve::heap::remove_heap(edge_heap.begin(),
+ edge_heap.end(),
+ edge_heap.begin() + edge->heap_idx,
+ merger.priority(),
+ EdgeInfo::NotifyPos());
+ CARVE_ASSERT(edge_heap.back() == edge);
+ edge_heap.pop_back();
+ edge->heap_idx = ~0U;
+ } else if (heap_pre && heap_post) {
+ CARVE_ASSERT(edge_heap[edge->heap_idx] == edge);
+ carve::heap::adjust_heap(edge_heap.begin(),
+ edge_heap.end(),
+ edge_heap.begin() + edge->heap_idx,
+ merger.priority(),
+ EdgeInfo::NotifyPos());
+ CARVE_ASSERT(edge_heap[edge->heap_idx] == edge);
+ }
+ }
+
+
+
+ // collapse edges edges based upon the predicate implemented by EdgeMerger.
+ size_t collapseEdges(meshset_t *mesh,
+ const EdgeMerger &merger) {
+ face_rtree_t *tree = face_rtree_t::construct_STR(mesh->faceBegin(), mesh->faceEnd(), 4, 4);
+
+ size_t n_mods = 0;
+
+ std::vector<EdgeInfo *> edge_heap;
+ std::unordered_map<vertex_t *, std::set<EdgeInfo *> > vert_to_edges;
+
+ edge_heap.reserve(edge_info.size());
+
+ for (edge_info_map_t::iterator i = edge_info.begin();
+ i != edge_info.end();
+ ++i) {
+ EdgeInfo *e = (*i).second;
+
+ vert_to_edges[e->edge->v1()].insert(e);
+ vert_to_edges[e->edge->v2()].insert(e);
+
+ if (merger.canMerge(e)) {
+ edge_heap.push_back(e);
+ } else {
+ e->heap_idx = ~0U;
+ }
+ }
+
+ carve::heap::make_heap(edge_heap.begin(),
+ edge_heap.end(),
+ merger.priority(),
+ EdgeInfo::NotifyPos());
+
+ while (edge_heap.size()) {
+// std::cerr << "test" << std::endl;
+// for (size_t m = 0; m < mesh->meshes.size(); ++m) {
+// for (size_t f = 0; f < mesh->meshes[m]->faces.size(); ++f) {
+// if (mesh->meshes[m]->faces[f]->edge) mesh->meshes[m]->faces[f]->edge->validateLoop();
+// }
+// }
+ carve::heap::pop_heap(edge_heap.begin(),
+ edge_heap.end(),
+ merger.priority(),
+ EdgeInfo::NotifyPos());
+ EdgeInfo *e = edge_heap.back();
+ edge_heap.pop_back();
+ e->heap_idx = ~0U;
+
+ edge_t *edge = e->edge;
+ vertex_t *v1 = edge->v1();
+ vertex_t *v2 = edge->v2();
+
+ std::set<face_t *> affected_faces;
+ for (std::set<EdgeInfo *>::iterator f = vert_to_edges[v1].begin();
+ f != vert_to_edges[v1].end();
+ ++f) {
+ affected_faces.insert((*f)->edge->face);
+ affected_faces.insert((*f)->edge->rev->face);
+ }
+ for (std::set<EdgeInfo *>::iterator f = vert_to_edges[v2].begin();
+ f != vert_to_edges[v2].end();
+ ++f) {
+ affected_faces.insert((*f)->edge->face);
+ affected_faces.insert((*f)->edge->rev->face);
+ }
+
+ std::vector<EdgeInfo *> edges_to_merge;
+ std::vector<EdgeInfo *> v1_incident;
+ std::vector<EdgeInfo *> v2_incident;
+
+ std::set_intersection(vert_to_edges[v1].begin(), vert_to_edges[v1].end(),
+ vert_to_edges[v2].begin(), vert_to_edges[v2].end(),
+ std::back_inserter(edges_to_merge));
+
+ CARVE_ASSERT(edges_to_merge.size() > 0);
+
+ std::set_difference(vert_to_edges[v1].begin(), vert_to_edges[v1].end(),
+ edges_to_merge.begin(), edges_to_merge.end(),
+ std::back_inserter(v1_incident));
+ std::set_difference(vert_to_edges[v2].begin(), vert_to_edges[v2].end(),
+ edges_to_merge.begin(), edges_to_merge.end(),
+ std::back_inserter(v2_incident));
+
+ vector_t aabb_min, aabb_max;
+ assign_op(aabb_min, v1->v, v2->v, carve::util::min_functor());
+ assign_op(aabb_max, v1->v, v2->v, carve::util::max_functor());
+
+ for (size_t i = 0; i < v1_incident.size(); ++i) {
+ assign_op(aabb_min, aabb_min, v1_incident[i]->edge->v1()->v, carve::util::min_functor());
+ assign_op(aabb_max, aabb_max, v1_incident[i]->edge->v1()->v, carve::util::max_functor());
+ assign_op(aabb_min, aabb_min, v1_incident[i]->edge->v2()->v, carve::util::min_functor());
+ assign_op(aabb_max, aabb_max, v1_incident[i]->edge->v2()->v, carve::util::max_functor());
+ }
+
+ for (size_t i = 0; i < v2_incident.size(); ++i) {
+ assign_op(aabb_min, aabb_min, v2_incident[i]->edge->v1()->v, carve::util::min_functor());
+ assign_op(aabb_max, aabb_max, v2_incident[i]->edge->v1()->v, carve::util::max_functor());
+ assign_op(aabb_min, aabb_min, v2_incident[i]->edge->v2()->v, carve::util::min_functor());
+ assign_op(aabb_max, aabb_max, v2_incident[i]->edge->v2()->v, carve::util::max_functor());
+ }
+
+ aabb_t aabb;
+ aabb.fit(aabb_min, aabb_max);
+
+ std::vector<face_t *> near_faces;
+ tree->search(aabb, std::back_inserter(near_faces));
+
+ double frac = 0.5; // compute this based upon v1_incident and v2_incident?
+ vector_t merge = frac * v1->v + (1 - frac) * v2->v;
+
+ int i1 = countIntersectionPairs(affected_faces.begin(), affected_faces.end(),
+ near_faces.begin(), near_faces.end(),
+ NULL, NULL, merge);
+ int i2 = countIntersectionPairs(affected_faces.begin(), affected_faces.end(),
+ near_faces.begin(), near_faces.end(),
+ v1, v2, merge);
+ if (i2 != i1) {
+ std::cerr << "near faces: " << near_faces.size() << " affected faces: " << affected_faces.size() << std::endl;
+ std::cerr << "merge delta[ints] = " << i2 - i1 << " pre: " << i1 << " post: " << i2 << std::endl;
+ if (i2 > i1) continue;
+ }
+
+ std::cerr << "collapse " << e << std::endl;
+
+ v2->v = merge;
+ ++n_mods;
+
+ for (size_t i = 0; i < v1_incident.size(); ++i) {
+ if (v1_incident[i]->edge->vert == v1) {
+ v1_incident[i]->edge->vert = v2;
+ }
+ }
+
+ for (size_t i = 0; i < v1_incident.size(); ++i) {
+ updateEdgeMergeHeap(edge_heap, v1_incident[i], merger);
+ }
+
+ for (size_t i = 0; i < v2_incident.size(); ++i) {
+ updateEdgeMergeHeap(edge_heap, v2_incident[i], merger);
+ }
+
+ vert_to_edges[v2].insert(vert_to_edges[v1].begin(), vert_to_edges[v1].end());
+ vert_to_edges.erase(v1);
+
+ for (size_t i = 0; i < edges_to_merge.size(); ++i) {
+ EdgeInfo *e = edges_to_merge[i];
+
+ removeFromEdgeMergeHeap(edge_heap, e, merger);
+ edge_info.erase(e->edge);
+
+ vert_to_edges[v1].erase(e);
+ vert_to_edges[v2].erase(e);
+
+ face_t *f1 = e->edge->face;
+
+ e->edge->removeHalfEdge();
+
+ if (f1->n_edges == 2) {
+ edge_t *e1 = f1->edge;
+ edge_t *e2 = f1->edge->next;
+ if (e1->rev) e1->rev->rev = e2->rev;
+ if (e2->rev) e2->rev->rev = e1->rev;
+ EdgeInfo *e1i = edge_info[e1];
+ EdgeInfo *e2i = edge_info[e2];
+ CARVE_ASSERT(e1i != NULL);
+ CARVE_ASSERT(e2i != NULL);
+ vert_to_edges[e1->v1()].erase(e1i);
+ vert_to_edges[e1->v2()].erase(e1i);
+ vert_to_edges[e2->v1()].erase(e2i);
+ vert_to_edges[e2->v2()].erase(e2i);
+ removeFromEdgeMergeHeap(edge_heap, e1i, merger);
+ removeFromEdgeMergeHeap(edge_heap, e2i, merger);
+ edge_info.erase(e1);
+ edge_info.erase(e2);
+ f1->clearEdges();
+ tree->remove(f1, aabb);
+
+ delete e1i;
+ delete e2i;
+ }
+ delete e;
+ }
+
+ tree->updateExtents(aabb);
+ }
+
+ delete tree;
+
+ return n_mods;
+ }
+
+
+
+ size_t mergeCoplanarFaces(mesh_t *mesh, double min_normal_angle) {
+ std::unordered_set<edge_t *> coplanar_face_edges;
+ double min_dp = cos(min_normal_angle);
+ size_t n_merge = 0;
+
+ for (size_t i = 0; i < mesh->closed_edges.size(); ++i) {
+ edge_t *e = mesh->closed_edges[i];
+ face_t *f1 = e->face;
+ face_t *f2 = e->rev->face;
+
+ if (carve::geom::dot(f1->plane.N, f2->plane.N) < min_dp) {
+ continue;
+ }
+
+ coplanar_face_edges.insert(std::min(e, e->rev));
+ }
+
+ while (coplanar_face_edges.size()) {
+ edge_t *edge = *coplanar_face_edges.begin();
+ if (edge->face == edge->rev->face) {
+ coplanar_face_edges.erase(edge);
+ continue;
+ }
+
+ edge_t *removed = edge->mergeFaces();
+ if (removed == NULL) {
+ coplanar_face_edges.erase(edge);
+ ++n_merge;
+ } else {
+ edge_t *e = removed;
+ do {
+ edge_t *n = e->next;
+ coplanar_face_edges.erase(std::min(e, e->rev));
+ delete e->rev;
+ delete e;
+ e = n;
+ } while (e != removed);
+ }
+ }
+ return n_merge;
+ }
+
+
+
+ uint8_t affected_axes(const face_t *face) {
+ uint8_t r = 0;
+ if (fabs(carve::geom::dot(face->plane.N, carve::geom::VECTOR(1,0,0))) > 0.001) r |= 1;
+ if (fabs(carve::geom::dot(face->plane.N, carve::geom::VECTOR(0,1,0))) > 0.001) r |= 2;
+ if (fabs(carve::geom::dot(face->plane.N, carve::geom::VECTOR(0,0,1))) > 0.001) r |= 4;
+ return r;
+ }
+
+
+
+ double median(std::vector<double> &v) {
+ if (v.size() & 1) {
+ size_t N = v.size() / 2 + 1;
+ std::nth_element(v.begin(), v.begin() + N, v.end());
+ return v[N];
+ } else {
+ size_t N = v.size() / 2;
+ std::nth_element(v.begin(), v.begin() + N, v.end());
+ return (v[N] + *std::min_element(v.begin() + N + 1, v.end())) / 2.0;
+ }
+ }
+
+
+
+ double harmonicmean(const std::vector<double> &v) {
+ double m = 0.0;
+ for (size_t i = 0; i < v.size(); ++i) {
+ m *= v[i];
+ }
+ return pow(m, 1.0 / v.size());
+ }
+
+
+
+ double mean(const std::vector<double> &v) {
+ double m = 0.0;
+ for (size_t i = 0; i < v.size(); ++i) {
+ m += v[i];
+ }
+ return m / v.size();
+ }
+
+
+
+ template<typename iter_t>
+ void snapFaces(iter_t begin, iter_t end, double grid, int axis) {
+ std::set<vertex_t *> vertices;
+ for (iter_t i = begin; i != end; ++i) {
+ face_t *face = *i;
+ edge_t *edge = face->edge;
+ do {
+ vertices.insert(edge->vert);
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+
+ std::vector<double> pos;
+ pos.reserve(vertices.size());
+ for (std::set<vertex_t *>::iterator i = vertices.begin(); i != vertices.end(); ++i) {
+ pos.push_back((*i)->v.v[axis]);
+ }
+
+ double med = median(pos);
+
+ double snap_pos = med;
+ if (grid) snap_pos = round(snap_pos / grid) * grid;
+
+ for (std::set<vertex_t *>::iterator i = vertices.begin(); i != vertices.end(); ++i) {
+ (*i)->v.v[axis] = snap_pos;
+ }
+
+ for (iter_t i = begin; i != end; ++i) {
+ face_t *face = *i;
+ face->recalc();
+ edge_t *edge = face->edge;
+ do {
+ if (edge->rev && edge->rev->face) edge->rev->face->recalc();
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+ }
+
+ carve::geom::plane<3> quantizePlane(const face_t *face,
+ int angle_xy_quantization,
+ int angle_z_quantization) {
+ if (!angle_xy_quantization && !angle_z_quantization) {
+ return face->plane;
+ }
+ carve::geom::vector<3> normal = face->plane.N;
+
+ if (angle_z_quantization) {
+ if (normal.x || normal.y) {
+ double a = asin(std::min(std::max(normal.z, 0.0), 1.0));
+ a = round(a * angle_z_quantization / (M_PI * 2)) * (M_PI * 2) / angle_z_quantization;
+ normal.z = sin(a);
+ double s = sqrt((1 - normal.z * normal.z) / (normal.x * normal.x + normal.y * normal.y));
+ normal.x = normal.x * s;
+ normal.y = normal.y * s;
+ }
+ }
+ if (angle_xy_quantization) {
+ if (normal.x || normal.y) {
+ double a = atan2(normal.y, normal.x);
+ a = round(a * angle_xy_quantization / (M_PI * 2)) * (M_PI * 2) / angle_xy_quantization;
+ double s = sqrt(1 - normal.z * normal.z);
+ s = std::min(std::max(s, 0.0), 1.0);
+ normal.x = cos(a) * s;
+ normal.y = sin(a) * s;
+ }
+ }
+
+ std::cerr << "normal = " << normal << std::endl;
+
+ std::vector<double> d_vec;
+ d_vec.reserve(face->nVertices());
+ edge_t *e = face->edge;
+ do {
+ d_vec.push_back(-carve::geom::dot(normal, e->vert->v));
+ e = e->next;
+ } while (e != face->edge);
+
+ return carve::geom::plane<3>(normal, mean(d_vec));
+ }
+
+
+
+ double summedError(const carve::geom::vector<3> &vert, const std::list<carve::geom::plane<3> > &planes) {
+ double d = 0;
+ for (std::list<carve::geom::plane<3> >::const_iterator i = planes.begin(); i != planes.end(); ++i) {
+ d += fabs(carve::geom::distance2(*i, vert));
+ }
+ return d;
+ }
+
+
+
+ double minimize(carve::geom::vector<3> &vert, const std::list<carve::geom::plane<3> > &planes, int axis) {
+ double num = 0.0;
+ double den = 0.0;
+ int a1 = (axis + 1) % 3;
+ int a2 = (axis + 2) % 3;
+ for (std::list<carve::geom::plane<3> >::const_iterator i = planes.begin(); i != planes.end(); ++i) {
+ const carve::geom::vector<3> &N = (*i).N;
+ const double d = (*i).d;
+ den += N.v[axis] * N.v[axis];
+ num -= N.v[axis] * (N.v[a1] * vert.v[a1] + N.v[a2] * vert.v[a2] + d);
+ }
+ if (fabs(den) < 1e-5) return vert.v[axis];
+ return num / den;
+ }
+
+
+
+ size_t cleanFaceEdges(mesh_t *mesh) {
+ size_t n_removed = 0;
+ for (size_t i = 0; i < mesh->faces.size(); ++i) {
+ face_t *face = mesh->faces[i];
+ edge_t *start = face->edge;
+ edge_t *edge = start;
+ do {
+ if (edge->next == edge->rev || edge->prev == edge->rev) {
+ edge = edge->removeEdge();
+ ++n_removed;
+ start = edge->prev;
+ } else {
+ edge = edge->next;
+ }
+ } while (edge != start);
+ }
+ return n_removed;
+ }
+
+
+
+ size_t cleanFaceEdges(meshset_t *mesh) {
+ size_t n_removed = 0;
+ for (size_t i = 0; i < mesh->meshes.size(); ++i) {
+ n_removed += cleanFaceEdges(mesh->meshes[i]);
+ }
+ return n_removed;
+ }
+
+
+
+ void removeRemnantFaces(mesh_t *mesh) {
+ size_t n = 0;
+ for (size_t i = 0; i < mesh->faces.size(); ++i) {
+ if (mesh->faces[i]->nEdges() == 0) {
+ delete mesh->faces[i];
+ } else {
+ mesh->faces[n++] = mesh->faces[i];
+ }
+ }
+ mesh->faces.resize(n);
+ }
+
+
+
+ void removeRemnantFaces(meshset_t *mesh) {
+ for (size_t i = 0; i < mesh->meshes.size(); ++i) {
+ removeRemnantFaces(mesh->meshes[i]);
+ }
+ }
+
+
+
+ edge_t *removeFin(edge_t *e) {
+ // e and e->next are shared with the same reverse triangle.
+ edge_t *e1 = e->prev;
+ edge_t *e2 = e->rev->next;
+ CARVE_ASSERT(e1->v2() == e2->v1());
+ CARVE_ASSERT(e2->v2() == e1->v1());
+
+ CARVE_ASSERT(e1->rev != e2 && e2->rev != e1);
+
+ edge_t *e1r = e1->rev;
+ edge_t *e2r = e2->rev;
+ if (e1r) e1r->rev = e2r;
+ if (e2r) e2r->rev = e1r;
+
+ face_t *f1 = e1->face;
+ face_t *f2 = e2->face;
+ f1->clearEdges();
+ f2->clearEdges();
+
+ return e1r;
+ }
+
+ size_t removeFin(face_t *face) {
+ if (face->edge == NULL || face->nEdges() != 3) return 0;
+ edge_t *e = face->edge;
+ do {
+ if (e->rev != NULL) {
+ face_t *revface = e->rev->face;
+ if (revface->nEdges() == 3) {
+ if (e->next->rev && e->next->rev->face == revface) {
+ if (e->next->next->rev && e->next->next->rev->face == revface) {
+ // isolated tripair
+ face->clearEdges();
+ revface->clearEdges();
+ return 1;
+ }
+ // fin
+ edge_t *spliced_edge = removeFin(e);
+ return 1 + removeFin(spliced_edge->face);
+ }
+ }
+ }
+ e = e->next;
+ } while (e != face->edge);
+ return 0;
+ }
+
+
+
+ public:
+ // Merge adjacent coplanar faces (where coplanar is determined
+ // by dot-product >= cos(min_normal_angle)).
+ size_t mergeCoplanarFaces(meshset_t *meshset, double min_normal_angle) {
+ size_t n_removed = 0;
+ for (size_t i = 0; i < meshset->meshes.size(); ++i) {
+ n_removed += mergeCoplanarFaces(meshset->meshes[i], min_normal_angle);
+ removeRemnantFaces(meshset->meshes[i]);
+ cleanFaceEdges(meshset->meshes[i]);
+ meshset->meshes[i]->cacheEdges();
+ }
+ return n_removed;
+ }
+
+ size_t improveMesh_conservative(meshset_t *meshset) {
+ initEdgeInfo(meshset);
+ size_t modifications = flipEdges(meshset, FlippableConservative());
+ clearEdgeInfo();
+ return modifications;
+ }
+
+
+
+ size_t improveMesh(meshset_t *meshset,
+ double min_colinearity,
+ double min_delta_v,
+ double min_normal_angle) {
+ initEdgeInfo(meshset);
+ size_t modifications = flipEdges(meshset, Flippable(min_colinearity, min_delta_v, min_normal_angle));
+ clearEdgeInfo();
+ return modifications;
+ }
+
+
+
+ size_t eliminateShortEdges(meshset_t *meshset,
+ double min_length) {
+ initEdgeInfo(meshset);
+ size_t modifications = collapseEdges(meshset, EdgeMerger(min_length));
+ removeRemnantFaces(meshset);
+ clearEdgeInfo();
+ return modifications;
+ }
+
+
+
+ // Snap vertices to grid, aligning almost flat axis-aligned
+ // faces to the axis, and flattening other faces as much as is
+ // possible. Passing a number less than DBL_MIN_EXPONENT (-1021)
+ // turns off snapping to grid (but face alignment is still
+ // performed).
+ void snap(meshset_t *meshset,
+ int log2_grid,
+ int angle_xy_quantization = 0,
+ int angle_z_quantization = 0) {
+ double grid = 0.0;
+ if (log2_grid >= std::numeric_limits<double>::min_exponent) grid = pow(2.0, (double)log2_grid);
+
+ typedef std::unordered_map<face_t *, uint8_t> axis_influence_map_t;
+ axis_influence_map_t axis_influence;
+
+ typedef std::unordered_map<face_t *, std::set<face_t *> > interaction_graph_t;
+ interaction_graph_t interacting_faces;
+
+ for (size_t m = 0; m < meshset->meshes.size(); ++m) {
+ mesh_t *mesh = meshset->meshes[m];
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ face_t *face = mesh->faces[f];
+ axis_influence[face] = affected_axes(face);
+ }
+ }
+
+ std::map<vertex_t *, std::list<carve::geom::plane<3> > > non_axis_vertices;
+ std::unordered_map<vertex_t *, uint8_t> vertex_constraints;
+
+ for (axis_influence_map_t::iterator i = axis_influence.begin(); i != axis_influence.end(); ++i) {
+ face_t *face = (*i).first;
+ uint8_t face_axes = (*i).second;
+ edge_t *edge = face->edge;
+ if (face_axes != 1 && face_axes != 2 && face_axes != 4) {
+ do {
+ non_axis_vertices[edge->vert].push_back(quantizePlane(face,
+ angle_xy_quantization,
+ angle_z_quantization));
+ edge = edge->next;
+ } while (edge != face->edge);
+ } else {
+ interacting_faces[face].insert(face);
+ do {
+ vertex_constraints[edge->vert] |= face_axes;
+
+ if (edge->rev && edge->rev->face) {
+ face_t *face2 = edge->rev->face;
+ uint8_t face2_axes = axis_influence[face2];
+ if (face2_axes == face_axes) {
+ interacting_faces[face].insert(face2);
+ }
+ }
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+ }
+
+ while (interacting_faces.size()) {
+ std::set<face_t *> face_set;
+ uint8_t axes = 0;
+
+ std::set<face_t *> open;
+ open.insert((*interacting_faces.begin()).first);
+ while (open.size()) {
+ face_t *curr = *open.begin();
+ open.erase(open.begin());
+ face_set.insert(curr);
+ axes |= axis_influence[curr];
+ for (interaction_graph_t::data_type::iterator i = interacting_faces[curr].begin(), e = interacting_faces[curr].end(); i != e; ++i) {
+ face_t *f = *i;
+ if (face_set.find(f) != face_set.end()) continue;
+ open.insert(f);
+ }
+ }
+
+ switch (axes) {
+ case 1: snapFaces(face_set.begin(), face_set.end(), grid, 0); break;
+ case 2: snapFaces(face_set.begin(), face_set.end(), grid, 1); break;
+ case 4: snapFaces(face_set.begin(), face_set.end(), grid, 2); break;
+ default: CARVE_FAIL("should not be reached");
+ }
+
+ for (std::set<face_t *>::iterator i = face_set.begin(); i != face_set.end(); ++i) {
+ interacting_faces.erase((*i));
+ }
+ }
+
+ for (std::map<vertex_t *, std::list<carve::geom::plane<3> > >::iterator i = non_axis_vertices.begin(); i != non_axis_vertices.end(); ++i) {
+ vertex_t *vert = (*i).first;
+ std::list<carve::geom::plane<3> > &planes = (*i).second;
+ uint8_t constraint = vertex_constraints[vert];
+
+ if (constraint == 7) continue;
+
+ double d = summedError(vert->v, planes);
+ for (size_t N = 0; ; N = (N+1) % 3) {
+ if (constraint & (1 << N)) continue;
+ vert->v[N] = minimize(vert->v, planes, N);
+ double d_next = summedError(vert->v, planes);
+ if (d - d_next < 1e-20) break;
+ d = d_next;
+ }
+
+ if (grid) {
+ carve::geom::vector<3> v_best = vert->v;
+ double d_best = 0.0;
+
+ for (size_t axes = 0; axes < 8; ++axes) {
+ carve::geom::vector<3> v = vert->v;
+ for (size_t N = 0; N < 3; ++N) {
+ if (constraint & (1 << N)) continue;
+ if (axes & (1<<N)) {
+ v.v[N] = ceil(v.v[N] / grid) * grid;
+ } else {
+ v.v[N] = floor(v.v[N] / grid) * grid;
+ }
+ }
+ double d = summedError(v, planes);
+ if (axes == 0 || d < d_best) {
+ v_best = v;
+ d_best = d;
+ }
+ }
+
+ vert->v = v_best;
+ }
+ }
+ }
+
+
+
+ size_t simplify(meshset_t *meshset,
+ double min_colinearity,
+ double min_delta_v,
+ double min_normal_angle,
+ double min_length) {
+ size_t modifications = 0;
+ size_t n, n_flip, n_merge;
+
+ initEdgeInfo(meshset);
+
+ std::cerr << "initial merge" << std::endl;
+ modifications = collapseEdges(meshset, EdgeMerger(0.0));
+ removeRemnantFaces(meshset);
+
+ do {
+ n_flip = n_merge = 0;
+ // std::cerr << "flip colinear pairs";
+ // n = flipEdges(meshset, FlippableColinearPair());
+ // std::cerr << " " << n << std::endl;
+ // n_flip = n;
+
+ std::cerr << "flip conservative";
+ n = flipEdges(meshset, FlippableConservative());
+ std::cerr << " " << n << std::endl;
+ n_flip += n;
+
+ std::cerr << "flip";
+ n = flipEdges(meshset, Flippable(min_colinearity, min_delta_v, min_normal_angle));
+ std::cerr << " " << n << std::endl;
+ n_flip += n;
+
+ std::cerr << "merge";
+ n = collapseEdges(meshset, EdgeMerger(min_length));
+ removeRemnantFaces(meshset);
+ std::cerr << " " << n << std::endl;
+ n_merge = n;
+
+ modifications += n_flip + n_merge;
+ std::cerr << "stats:" << n_flip << " " << n_merge << std::endl;
+ } while (n_flip || n_merge);
+
+ clearEdgeInfo();
+
+ for (size_t i = 0; i < meshset->meshes.size(); ++i) {
+ meshset->meshes[i]->cacheEdges();
+ }
+
+ return modifications;
+ }
+
+
+
+ size_t removeFins(mesh_t *mesh) {
+ size_t n_removed = 0;
+ for (size_t i = 0; i < mesh->faces.size(); ++i) {
+ n_removed += removeFin(mesh->faces[i]);
+ }
+ if (n_removed) removeRemnantFaces(mesh);
+ return n_removed;
+ }
+
+
+
+ size_t removeFins(meshset_t *meshset) {
+ size_t n_removed = 0;
+ for (size_t i = 0; i < meshset->meshes.size(); ++i) {
+ n_removed += removeFins(meshset->meshes[i]);
+ }
+ return n_removed;
+ }
+
+
+
+ size_t removeLowVolumeManifolds(meshset_t *meshset, double min_abs_volume) {
+ size_t n_removed;
+ for (size_t i = 0; i < meshset->meshes.size(); ++i) {
+ if (fabs(meshset->meshes[i]->volume()) < min_abs_volume) {
+ delete meshset->meshes[i];
+ meshset->meshes[i] = NULL;
+ ++n_removed;
+ }
+ }
+ meshset->meshes.erase(std::remove_if(meshset->meshes.begin(),
+ meshset->meshes.end(),
+ std::bind2nd(std::equal_to<mesh_t *>(), (mesh_t *)NULL)),
+ meshset->meshes.end());
+ return n_removed;
+ }
+
+ struct point_enumerator_t {
+ struct heapval_t {
+ double dist;
+ vector_t pt;
+ heapval_t(double _dist, vector_t _pt) : dist(_dist), pt(_pt) {
+ }
+ heapval_t() {}
+ bool operator==(const heapval_t &other) const { return dist == other.dist && pt == other.pt; }
+ bool operator<(const heapval_t &other) const { return dist > other.dist || (dist == other.dist && pt > other.pt); }
+ };
+
+ vector_t origin;
+ double rounding_fac;
+ heapval_t last;
+ std::vector<heapval_t> heap;
+
+ point_enumerator_t(vector_t _origin, int _base, int _n_dp) : origin(_origin), rounding_fac(pow(_base, _n_dp)), last(-1.0, _origin), heap() {
+ for (size_t i = 0; i < (1 << 3); ++i) {
+ vector_t t = origin;
+ for (size_t j = 0; j < 3; ++j) {
+ if (i & (1U << j)) {
+ t[j] = ceil(t[j] * rounding_fac) / rounding_fac;
+ } else {
+ t[j] = floor(t[j] * rounding_fac) / rounding_fac;
+ }
+ }
+ heap.push_back(heapval_t(carve::geom::distance2(origin, t), t));
+ }
+ std::make_heap(heap.begin(), heap.end());
+ }
+
+ vector_t next() {
+ heapval_t curr;
+ do {
+ CARVE_ASSERT(heap.size());
+ std::pop_heap(heap.begin(), heap.end());
+ curr = heap.back();
+ heap.pop_back();
+ } while (curr == last);
+
+ vector_t t;
+
+ for (int dx = -1; dx <= +1; ++dx) {
+ t.x = floor(curr.pt.x * rounding_fac + dx) / rounding_fac;
+ for (int dy = -1; dy <= +1; ++dy) {
+ t.y = floor(curr.pt.y * rounding_fac + dy) / rounding_fac;
+ for (int dz = -1; dz <= +1; ++dz) {
+ t.z = floor(curr.pt.z * rounding_fac + dz) / rounding_fac;
+ heapval_t h2(carve::geom::distance2(origin, t), t);
+ if (h2 < curr) {
+ heap.push_back(h2);
+ std::push_heap(heap.begin(), heap.end());
+ }
+ }
+ }
+ }
+ last = curr;
+ return curr.pt;
+ }
+ };
+
+ struct quantization_info_t {
+ point_enumerator_t *pt;
+ std::set<face_t *> faces;
+
+ quantization_info_t() : pt(NULL), faces() {
+ }
+
+ ~quantization_info_t() {
+ if (pt) delete pt;
+ }
+
+ aabb_t getAABB() const {
+ std::set<face_t *>::iterator i = faces.begin();
+ aabb_t aabb = (*i)->getAABB();
+ while (++i != faces.end()) {
+ aabb.unionAABB((*i)->getAABB());
+ }
+ return aabb;
+ }
+ };
+
+ void selfIntersectionAwareQuantize(meshset_t *meshset, int base, int n_dp) {
+ typedef std::unordered_map<vertex_t *, quantization_info_t> vfsmap_t;
+
+ vfsmap_t vertex_qinfo;
+
+ for (size_t m = 0; m < meshset->meshes.size(); ++m) {
+ mesh_t *mesh = meshset->meshes[m];
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ face_t *face = mesh->faces[f];
+ edge_t *e = face->edge;
+ do {
+ vertex_qinfo[e->vert].faces.insert(face);
+ e = e->next;
+ } while (e != face->edge);
+ }
+ }
+
+ face_rtree_t *tree = face_rtree_t::construct_STR(meshset->faceBegin(), meshset->faceEnd(), 4, 4);
+
+ for (vfsmap_t::iterator i = vertex_qinfo.begin(); i != vertex_qinfo.end(); ++i) {
+ (*i).second.pt = new point_enumerator_t((*i).first->v, base, n_dp);
+ }
+
+ while (vertex_qinfo.size()) {
+ std::vector<vertex_t *> quantized;
+
+ std::cerr << "vertex_qinfo.size() == " << vertex_qinfo.size() << std::endl;
+
+ for (vfsmap_t::iterator i = vertex_qinfo.begin(); i != vertex_qinfo.end(); ++i) {
+ vertex_t *vert = (*i).first;
+ quantization_info_t &qi = (*i).second;
+ vector_t q_pt = qi.pt->next();
+ aabb_t aabb = qi.getAABB();
+ aabb.unionAABB(aabb_t(q_pt));
+
+ std::vector<face_t *> overlapping;
+ tree->search(aabb, std::back_inserter(overlapping));
+
+
+ int n_intersections = countIntersectionPairs(qi.faces.begin(), qi.faces.end(),
+ overlapping.begin(), overlapping.end(),
+ vert, NULL, q_pt);
+
+ if (n_intersections == 0) {
+ vert->v = q_pt;
+ quantized.push_back((*i).first);
+ tree->updateExtents(aabb);
+ }
+ }
+ for (size_t i = 0; i < quantized.size(); ++i) {
+ vertex_qinfo.erase(quantized[i]);
+ }
+
+ if (!quantized.size()) break;
+ }
+ }
+
+
+ };
+ }
+}
diff --git a/extern/carve/include/carve/octree_decl.hpp b/extern/carve/include/carve/octree_decl.hpp
new file mode 100644
index 00000000000..a7e3ff5c77a
--- /dev/null
+++ b/extern/carve/include/carve/octree_decl.hpp
@@ -0,0 +1,193 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom3d.hpp>
+#include <carve/aabb.hpp>
+
+#include <carve/polyhedron_base.hpp>
+
+namespace carve {
+
+ namespace csg {
+
+ const double SLACK_FACTOR=1.0009765625;
+ const unsigned FACE_SPLIT_THRESHOLD=50U;
+ const unsigned EDGE_SPLIT_THRESHOLD=50U;
+ const unsigned POINT_SPLIT_THRESHOLD=20U;
+ const unsigned MAX_SPLIT_DEPTH=32;
+
+ class Octree {
+
+ public:
+ class Node {
+ private:
+ Node(const Node &node); // undefined.
+ Node &operator=(const Node &node); // undefined.
+
+ public:
+ Node *parent;
+ Node *children[8];
+ bool is_leaf;
+
+ carve::geom3d::Vector min;
+ carve::geom3d::Vector max;
+
+ std::vector<const carve::poly::Geometry<3>::face_t *> faces;
+ std::vector<const carve::poly::Geometry<3>::edge_t *> edges;
+ std::vector<const carve::poly::Geometry<3>::vertex_t *> vertices;
+
+ carve::geom3d::AABB aabb;
+
+ Node();
+
+ Node(const carve::geom3d::Vector &newMin, const carve::geom3d::Vector &newMax);
+ Node(Node *p, double x1, double y1, double z1, double x2, double y2, double z2);
+
+ ~Node();
+
+ bool mightContain(const carve::poly::Geometry<3>::face_t &face);
+ bool mightContain(const carve::poly::Geometry<3>::edge_t &edge);
+ bool mightContain(const carve::poly::Geometry<3>::vertex_t &p);
+ bool hasChildren();
+ bool hasGeometry();
+
+ template <class T>
+ void putInside(const T &input, Node *child, T &output);
+
+ bool split();
+ };
+
+
+
+ Node *root;
+
+
+
+ struct no_filter {
+ bool operator()(const carve::poly::Geometry<3>::edge_t *) { return true; }
+ bool operator()(const carve::poly::Geometry<3>::face_t *) { return true; }
+ };
+
+
+
+ Octree();
+
+ ~Octree();
+
+
+
+ void setBounds(const carve::geom3d::Vector &min, const carve::geom3d::Vector &max);
+ void setBounds(carve::geom3d::AABB aabb);
+
+
+
+ void addEdges(const std::vector<carve::poly::Geometry<3>::edge_t > &edges);
+ void addFaces(const std::vector<carve::poly::Geometry<3>::face_t > &faces);
+ void addVertices(const std::vector<const carve::poly::Geometry<3>::vertex_t *> &vertices);
+
+
+
+ static carve::geom3d::AABB makeAABB(const Node *node);
+
+
+
+ void doFindEdges(const carve::geom::aabb<3> &aabb,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out,
+ unsigned depth) const;
+ void doFindEdges(const carve::geom3d::LineSegment &l,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out,
+ unsigned depth) const;
+ void doFindEdges(const carve::geom3d::Vector &v,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out,
+ unsigned depth) const;
+ void doFindFaces(const carve::geom::aabb<3> &aabb,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::face_t *> &out,
+ unsigned depth) const;
+ void doFindFaces(const carve::geom3d::LineSegment &l,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::face_t *> &out,
+ unsigned depth) const;
+
+
+
+ void doFindVerticesAllowDupes(const carve::geom3d::Vector &v,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::vertex_t *> &out,
+ unsigned depth) const;
+
+ void findVerticesNearAllowDupes(const carve::geom3d::Vector &v,
+ std::vector<const carve::poly::Geometry<3>::vertex_t *> &out) const;
+
+
+
+ template<typename filter_t>
+ void doFindEdges(const carve::poly::Geometry<3>::face_t &f, Node *node,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out,
+ unsigned depth,
+ filter_t filter) const;
+
+ template<typename filter_t>
+ void findEdgesNear(const carve::poly::Geometry<3>::face_t &f,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out,
+ filter_t filter) const;
+
+ void findEdgesNear(const carve::poly::Geometry<3>::face_t &f,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out) const {
+ return findEdgesNear(f, out, no_filter());
+ }
+
+
+
+ void findEdgesNear(const carve::geom::aabb<3> &aabb, std::vector<const carve::poly::Geometry<3>::edge_t *> &out) const;
+ void findEdgesNear(const carve::geom3d::LineSegment &l, std::vector<const carve::poly::Geometry<3>::edge_t *> &out) const;
+ void findEdgesNear(const carve::poly::Geometry<3>::edge_t &e, std::vector<const carve::poly::Geometry<3>::edge_t *> &out) const;
+ void findEdgesNear(const carve::geom3d::Vector &v, std::vector<const carve::poly::Geometry<3>::edge_t *> &out) const;
+
+
+
+ void findFacesNear(const carve::geom::aabb<3> &aabb, std::vector<const carve::poly::Geometry<3>::face_t *> &out) const;
+ void findFacesNear(const carve::geom3d::LineSegment &l, std::vector<const carve::poly::Geometry<3>::face_t *> &out) const;
+ void findFacesNear(const carve::poly::Geometry<3>::edge_t &e, std::vector<const carve::poly::Geometry<3>::face_t *> &out) const;
+
+
+
+ static void doSplit(int maxSplit, Node *node);
+
+
+
+ template <typename FUNC>
+ void doIterate(int level, Node *node, const FUNC &f) const;
+
+ template <typename FUNC>
+ void iterateNodes(const FUNC &f) const;
+
+
+
+ void splitTree();
+
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/octree_impl.hpp b/extern/carve/include/carve/octree_impl.hpp
new file mode 100644
index 00000000000..5eadb1543a0
--- /dev/null
+++ b/extern/carve/include/carve/octree_impl.hpp
@@ -0,0 +1,79 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+namespace carve {
+ namespace csg {
+ template<typename filter_t>
+ void Octree::doFindEdges(const carve::poly::Geometry<3>::face_t &f,
+ Node *node,
+ std::vector<const carve::poly::Geometry<3>::edge_t *> &out,
+ unsigned depth,
+ filter_t filter) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.intersects(f.aabb) && node->aabb.intersects(f.plane_eqn)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(f, node->children[i], out, depth + 1, filter);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->edges.size() > EDGE_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(f, node->children[i], out, depth + 1, filter);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Geometry<3>::edge_t*>::const_iterator it = node->edges.begin(), e = node->edges.end(); it != e; ++it) {
+ if ((*it)->tag_once()) {
+ if (filter(*it)) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+ }
+ }
+
+ template<typename filter_t>
+ void Octree::findEdgesNear(const carve::poly::Geometry<3>::face_t &f, std::vector<const carve::poly::Geometry<3>::edge_t *> &out, filter_t filter) const {
+ tagable::tag_begin();
+ doFindEdges(f, root, out, 0, filter);
+ }
+
+ template <typename func_t>
+ void Octree::doIterate(int level, Node *node, const func_t &f) const{
+ f(level, node);
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doIterate(level + 1, node->children[i], f);
+ }
+ }
+ }
+
+ template <typename func_t>
+ void Octree::iterateNodes(const func_t &f) const {
+ doIterate(0, root, f);
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/pointset.hpp b/extern/carve/include/carve/pointset.hpp
new file mode 100644
index 00000000000..c635ce47f2f
--- /dev/null
+++ b/extern/carve/include/carve/pointset.hpp
@@ -0,0 +1,24 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/pointset_decl.hpp>
+#include <carve/pointset_impl.hpp>
+#include <carve/pointset_iter.hpp>
diff --git a/extern/carve/include/carve/pointset_decl.hpp b/extern/carve/include/carve/pointset_decl.hpp
new file mode 100644
index 00000000000..d09f9e0e724
--- /dev/null
+++ b/extern/carve/include/carve/pointset_decl.hpp
@@ -0,0 +1,61 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <iterator>
+#include <list>
+#include <iterator>
+#include <limits>
+
+#include <carve/carve.hpp>
+#include <carve/tag.hpp>
+#include <carve/geom.hpp>
+#include <carve/kd_node.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/aabb.hpp>
+
+namespace carve {
+ namespace point {
+
+ struct Vertex : public tagable {
+ carve::geom3d::Vector v;
+ };
+
+
+
+ struct vec_adapt_vertex_ptr {
+ const carve::geom3d::Vector &operator()(const Vertex * const &v) { return v->v; }
+ carve::geom3d::Vector &operator()(Vertex *&v) { return v->v; }
+ };
+
+
+
+ struct PointSet {
+ std::vector<Vertex> vertices;
+ carve::geom3d::AABB aabb;
+
+ PointSet(const std::vector<carve::geom3d::Vector> &points);
+ PointSet() {
+ }
+
+ void sortVertices(const carve::geom3d::Vector &axis);
+
+ size_t vertexToIndex_fast(const Vertex *v) const;
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/pointset_impl.hpp b/extern/carve/include/carve/pointset_impl.hpp
new file mode 100644
index 00000000000..71b5f281c0f
--- /dev/null
+++ b/extern/carve/include/carve/pointset_impl.hpp
@@ -0,0 +1,36 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <vector>
+
+#include <carve/carve.hpp>
+#include <carve/tag.hpp>
+#include <carve/geom.hpp>
+#include <carve/kd_node.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/aabb.hpp>
+
+namespace carve {
+ namespace point {
+
+ inline size_t PointSet::vertexToIndex_fast(const Vertex *v) const {
+ return v - &vertices[0];
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/pointset_iter.hpp b/extern/carve/include/carve/pointset_iter.hpp
new file mode 100644
index 00000000000..13cf66e4584
--- /dev/null
+++ b/extern/carve/include/carve/pointset_iter.hpp
@@ -0,0 +1,18 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
diff --git a/extern/carve/include/carve/poly.hpp b/extern/carve/include/carve/poly.hpp
new file mode 100644
index 00000000000..913d0600aca
--- /dev/null
+++ b/extern/carve/include/carve/poly.hpp
@@ -0,0 +1,24 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/poly_decl.hpp>
+
+#include <carve/poly_impl.hpp>
diff --git a/extern/carve/include/carve/poly_decl.hpp b/extern/carve/include/carve/poly_decl.hpp
new file mode 100644
index 00000000000..fe550082dbb
--- /dev/null
+++ b/extern/carve/include/carve/poly_decl.hpp
@@ -0,0 +1,25 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/vertex_decl.hpp>
+#include <carve/edge_decl.hpp>
+#include <carve/face_decl.hpp>
+#include <carve/polyhedron_decl.hpp>
diff --git a/extern/carve/include/carve/poly_impl.hpp b/extern/carve/include/carve/poly_impl.hpp
new file mode 100644
index 00000000000..db5ae56e6d3
--- /dev/null
+++ b/extern/carve/include/carve/poly_impl.hpp
@@ -0,0 +1,25 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/vertex_impl.hpp>
+#include <carve/edge_impl.hpp>
+#include <carve/face_impl.hpp>
+#include <carve/polyhedron_impl.hpp>
diff --git a/extern/carve/include/carve/polyhedron_base.hpp b/extern/carve/include/carve/polyhedron_base.hpp
new file mode 100644
index 00000000000..f55146f2986
--- /dev/null
+++ b/extern/carve/include/carve/polyhedron_base.hpp
@@ -0,0 +1,149 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom3d.hpp>
+
+#include <carve/vertex_decl.hpp>
+#include <carve/edge_decl.hpp>
+#include <carve/face_decl.hpp>
+
+#include <stddef.h>
+
+namespace carve {
+ namespace poly {
+
+
+
+ struct Object {
+ };
+
+
+
+ template<typename array_t>
+ ptrdiff_t ptrToIndex_fast(const array_t &a, const typename array_t::value_type *v) {
+ return v - &a[0];
+ }
+
+ template<typename array_t>
+ ptrdiff_t ptrToIndex(const array_t &a, const typename array_t::value_type *v) {
+ if (v < &a.front() || v > &a.back()) return -1;
+ return v - &a[0];
+ }
+
+
+ template<unsigned ndim>
+ struct Geometry : public Object {
+ struct Connectivity {
+ } connectivity;
+ };
+
+
+
+ template<>
+ struct Geometry<2> : public Object {
+ typedef Vertex<2> vertex_t;
+ typedef Edge<2> edge_t;
+
+ struct Connectivity {
+ std::vector<std::vector<const edge_t *> > vertex_to_edge;
+ } connectivity;
+
+ std::vector<vertex_t> vertices;
+ std::vector<edge_t> edges;
+
+ ptrdiff_t vertexToIndex_fast(const vertex_t *v) const { return ptrToIndex_fast(vertices, v); }
+ ptrdiff_t vertexToIndex(const vertex_t *v) const { return ptrToIndex(vertices, v); }
+
+ ptrdiff_t edgeToIndex_fast(const edge_t *e) const { return ptrToIndex_fast(edges, e); }
+ ptrdiff_t edgeToIndex(const edge_t *e) const { return ptrToIndex(edges, e); }
+
+
+
+ // *** connectivity queries
+
+ template<typename T>
+ int vertexToEdges(const vertex_t *v, T result) const;
+ };
+
+
+
+ template<>
+ struct Geometry<3> : public Object {
+ typedef Vertex<3> vertex_t;
+ typedef Edge<3> edge_t;
+ typedef Face<3> face_t;
+
+ struct Connectivity {
+ std::vector<std::vector<const edge_t *> > vertex_to_edge;
+ std::vector<std::vector<const face_t *> > vertex_to_face;
+ std::vector<std::vector<const face_t *> > edge_to_face;
+ } connectivity;
+
+ std::vector<vertex_t> vertices;
+ std::vector<edge_t> edges;
+ std::vector<face_t> faces;
+
+ ptrdiff_t vertexToIndex_fast(const vertex_t *v) const { return ptrToIndex_fast(vertices, v); }
+ ptrdiff_t vertexToIndex(const vertex_t *v) const { return ptrToIndex(vertices, v); }
+
+ ptrdiff_t edgeToIndex_fast(const edge_t *e) const { return ptrToIndex_fast(edges, e); }
+ ptrdiff_t edgeToIndex(const edge_t *e) const { return ptrToIndex(edges, e); }
+
+ ptrdiff_t faceToIndex_fast(const face_t *f) const { return ptrToIndex_fast(faces, f); }
+ ptrdiff_t faceToIndex(const face_t *f) const { return ptrToIndex(faces, f); }
+
+ template<typename order_t>
+ bool orderVertices(order_t order);
+
+ bool orderVertices() { return orderVertices(std::less<vertex_t::vector_t>()); }
+
+
+
+ // *** connectivity queries
+
+ const face_t *connectedFace(const face_t *, const edge_t *) const;
+
+ template<typename T>
+ int _faceNeighbourhood(const face_t *f, int depth, T *result) const;
+
+ template<typename T>
+ int faceNeighbourhood(const face_t *f, int depth, T result) const;
+
+ template<typename T>
+ int faceNeighbourhood(const edge_t *e, int m_id, int depth, T result) const;
+
+ template<typename T>
+ int faceNeighbourhood(const vertex_t *v, int m_id, int depth, T result) const;
+
+ template<typename T>
+ int vertexToEdges(const vertex_t *v, T result) const;
+
+ template<typename T>
+ int edgeToFaces(const edge_t *e, T result) const;
+
+ template<typename T>
+ int vertexToFaces(const vertex_t *v, T result) const;
+ };
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/polyhedron_decl.hpp b/extern/carve/include/carve/polyhedron_decl.hpp
new file mode 100644
index 00000000000..fda2a304691
--- /dev/null
+++ b/extern/carve/include/carve/polyhedron_decl.hpp
@@ -0,0 +1,184 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom3d.hpp>
+
+#include <carve/polyhedron_base.hpp>
+#include <carve/octree_decl.hpp>
+#include <carve/collection_types.hpp>
+
+#include <assert.h>
+#include <list>
+
+
+namespace carve {
+ namespace mesh {
+ template<unsigned ndim>
+ class MeshSet;
+ }
+
+ namespace poly {
+ class Polyhedron;
+ }
+
+ poly::Polyhedron *polyhedronFromMesh(const mesh::MeshSet<3> *, int);
+
+ namespace poly {
+
+ class Polyhedron : public Geometry<3> {
+ private:
+ friend Polyhedron *carve::polyhedronFromMesh(const mesh::MeshSet<3> *, int);
+
+ Polyhedron() {
+ }
+
+ Polyhedron &operator=(const Polyhedron &); // not implemented
+
+ // *** initialization
+
+ bool initSpatialIndex();
+ void initVertexConnectivity();
+ void setFaceAndVertexOwner();
+
+ bool initConnectivity();
+ bool markManifolds();
+ bool calcManifoldEmbedding();
+
+ bool init();
+ void faceRecalc();
+
+ void commonFaceInit(bool _recalc);
+
+ public:
+ static void collectFaceVertices(std::vector<face_t > &faces,
+ std::vector<vertex_t > &vertices,
+ std::unordered_map<const vertex_t *, const vertex_t *> &vmap);
+
+ static void collectFaceVertices(std::vector<face_t > &faces,
+ std::vector<vertex_t > &vertices);
+
+ std::vector<bool> manifold_is_closed;
+ std::vector<bool> manifold_is_negative;
+
+ carve::geom3d::AABB aabb;
+ carve::csg::Octree octree;
+
+
+
+ // *** construction of Polyhedron objects
+
+ Polyhedron(const Polyhedron &);
+
+ // copy a single manifold
+ Polyhedron(const Polyhedron &, int m_id);
+
+ // copy a subset of manifolds
+ Polyhedron(const Polyhedron &, const std::vector<bool> &selected_manifolds);
+
+ Polyhedron(std::vector<face_t > &_faces,
+ std::vector<vertex_t > &_vertices,
+ bool _recalc = false);
+
+ Polyhedron(std::vector<face_t > &_faces,
+ bool _recalc = false);
+
+ Polyhedron(std::list<face_t > &_faces,
+ bool _recalc = false);
+
+ Polyhedron(const std::vector<carve::geom3d::Vector> &vertices,
+ int n_faces,
+ const std::vector<int> &face_indices);
+
+ ~Polyhedron();
+
+
+
+ // *** containment queries
+
+ void testVertexAgainstClosedManifolds(const carve::geom3d::Vector &v,
+ std::map<int, PointClass> &result,
+ bool ignore_orentation) const;
+
+ PointClass containsVertex(const carve::geom3d::Vector &v,
+ const face_t **hit_face = NULL,
+ bool even_odd = false,
+ int manifold_id = -1) const;
+
+
+
+ // *** locality queries
+
+ void findEdgesNear(const carve::geom::aabb<3> &aabb, std::vector<const edge_t *> &edges) const;
+ void findEdgesNear(const carve::geom3d::LineSegment &l, std::vector<const edge_t *> &edges) const;
+ void findEdgesNear(const carve::geom3d::Vector &v, std::vector<const edge_t *> &edges) const;
+ void findEdgesNear(const face_t &face, std::vector<const edge_t *> &edges) const;
+ void findEdgesNear(const edge_t &edge, std::vector<const edge_t *> &edges) const;
+
+ void findFacesNear(const carve::geom::aabb<3> &aabb, std::vector<const face_t *> &faces) const;
+ void findFacesNear(const carve::geom3d::LineSegment &l, std::vector<const face_t *> &faces) const;
+ void findFacesNear(const edge_t &edge, std::vector<const face_t *> &faces) const;
+
+
+
+ // *** manifold queries
+
+ inline bool vertexOnManifold(const vertex_t *v, int m_id) const;
+ inline bool edgeOnManifold(const edge_t *e, int m_id) const;
+
+ template<typename T>
+ int vertexManifolds(const vertex_t *v, T result) const;
+
+ template<typename T>
+ int edgeManifolds(const edge_t *e, T result) const;
+
+ size_t manifoldCount() const;
+
+ bool hasOpenManifolds() const;
+
+
+
+
+ // *** transformation
+
+ // flip face directions
+ void invertAll();
+ void invert(const std::vector<bool> &selected_manifolds);
+
+ void invert(int m_id);
+ void invert();
+
+ // matrix transform of vertices
+ void transform(const carve::math::Matrix &xform);
+
+ // arbitrary function transform of vertices
+ template<typename T>
+ void transform(const T &xform);
+
+ void print(std::ostream &) const;
+
+ void canonicalize();
+ };
+
+ std::ostream &operator<<(std::ostream &, const Polyhedron &);
+
+ }
+
+}
diff --git a/extern/carve/include/carve/polyhedron_impl.hpp b/extern/carve/include/carve/polyhedron_impl.hpp
new file mode 100644
index 00000000000..06d841c7192
--- /dev/null
+++ b/extern/carve/include/carve/polyhedron_impl.hpp
@@ -0,0 +1,287 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/timing.hpp>
+
+#include <assert.h>
+#include <list>
+
+namespace carve {
+ namespace poly {
+
+
+
+ template<typename order_t>
+ struct VPtrSort {
+ order_t order;
+
+ VPtrSort(const order_t &_order) : order(_order) {}
+ bool operator()(carve::poly::Polyhedron::vertex_t const *a,
+ carve::poly::Polyhedron::vertex_t const *b) const {
+ return order(a->v, b->v);
+ }
+ };
+
+ template<typename order_t>
+ bool Geometry<3>::orderVertices(order_t order) {
+ static carve::TimingName FUNC_NAME("Geometry<3>::orderVertices()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ std::vector<vertex_t *> vptr;
+ std::vector<vertex_t *> vmap;
+ std::vector<vertex_t> vout;
+ const size_t N = vertices.size();
+
+ vptr.reserve(N);
+ vout.reserve(N);
+ vmap.resize(N);
+
+ for (size_t i = 0; i != N; ++i) {
+ vptr.push_back(&vertices[i]);
+ }
+ std::sort(vptr.begin(), vptr.end(), VPtrSort<order_t>(order));
+
+ for (size_t i = 0; i != N; ++i) {
+ vout.push_back(*vptr[i]);
+ vmap[vertexToIndex_fast(vptr[i])] = &vout[i];
+ }
+
+ for (size_t i = 0; i < faces.size(); ++i) {
+ face_t &f = faces[i];
+ for (size_t j = 0; j < f.nVertices(); ++j) {
+ f.vertex(j) = vmap[vertexToIndex_fast(f.vertex(j))];
+ }
+ }
+ for (size_t i = 0; i < edges.size(); ++i) {
+ edges[i].v1 = vmap[vertexToIndex_fast(edges[i].v1)];
+ edges[i].v2 = vmap[vertexToIndex_fast(edges[i].v2)];
+ }
+
+ vout.swap(vertices);
+
+ return true;
+ }
+
+
+
+ template<typename T>
+ int Geometry<3>::_faceNeighbourhood(const face_t *f, int depth, T *result) const {
+ if (depth < 0 || f->is_tagged()) return 0;
+
+ f->tag();
+ *(*result)++ = f;
+
+ int r = 1;
+ for (size_t i = 0; i < f->edges.size(); ++i) {
+ const std::vector<const face_t *> &edge_faces = connectivity.edge_to_face[edgeToIndex_fast(f->edges[i])];
+ const face_t *f2 = connectedFace(f, f->edges[i]);
+ if (f2) {
+ r += _faceNeighbourhood(f2, depth - 1, (*result));
+ }
+ }
+ return r;
+ }
+
+
+
+ template<typename T>
+ int Geometry<3>::faceNeighbourhood(const face_t *f, int depth, T result) const {
+ tagable::tag_begin();
+
+ return _faceNeighbourhood(f, depth, &result);
+ }
+
+
+
+ template<typename T>
+ int Geometry<3>::faceNeighbourhood(const edge_t *e, int m_id, int depth, T result) const {
+ tagable::tag_begin();
+
+ int r = 0;
+ const std::vector<const face_t *> &edge_faces = connectivity.edge_to_face[edgeToIndex_fast(e)];
+ for (size_t i = 0; i < edge_faces.size(); ++i) {
+ face_t *f = edge_faces[i];
+ if (f && f->manifold_id == m_id) { r += _faceNeighbourhood(f, depth, &result); }
+ }
+ return r;
+ }
+
+
+
+ template<typename T>
+ int Geometry<3>::faceNeighbourhood(const vertex_t *v, int m_id, int depth, T result) const {
+ tagable::tag_begin();
+
+ int r = 0;
+ const std::vector<const face_t *> &vertex_faces = connectivity.vertex_to_face[vertexToIndex_fast(v)];
+ for (size_t i = 0; i < vertex_faces.size(); ++i) {
+ face_t *f = vertex_faces[i];
+ if (f && f->manifold_id == m_id) { r += _faceNeighbourhood(f, depth, &result); }
+ }
+ return r;
+ }
+
+
+
+ // accessing connectivity information.
+ template<typename T>
+ int Geometry<3>::vertexToEdges(const vertex_t *v, T result) const {
+ std::vector<const edge_t *> &e = connectivity.vertex_to_edge[vertexToIndex_fast(v)];
+ std::copy(e.begin(), e.end(), result);
+ return e.size();
+ }
+
+
+
+ template<typename T>
+ int Geometry<3>::vertexToFaces(const vertex_t *v, T result) const {
+ const std::vector<const face_t *> &vertex_faces = connectivity.vertex_to_face[vertexToIndex_fast(v)];
+ int c = 0;
+ for (size_t i = 0; i < vertex_faces.size(); ++i) {
+ *result++ = vertex_faces[i]; ++c;
+ }
+ return c;
+ }
+
+
+
+ template<typename T>
+ int Geometry<3>::edgeToFaces(const edge_t *e, T result) const {
+ const std::vector<const face_t *> &edge_faces = connectivity.edge_to_face[edgeToIndex_fast(e)];
+ int c = 0;
+ for (size_t i = 0; i < edge_faces.size(); ++i) {
+ if (edge_faces[i] != NULL) { *result++ = edge_faces[i]; ++c; }
+ }
+ return c;
+ }
+
+
+
+ inline const Geometry<3>::face_t *Geometry<3>::connectedFace(const face_t *f, const edge_t *e) const {
+ const std::vector<const face_t *> &edge_faces = connectivity.edge_to_face[edgeToIndex_fast(e)];
+ for (size_t i = 0; i < (edge_faces.size() & ~1U); i++) {
+ if (edge_faces[i] == f) return edge_faces[i^1];
+ }
+ return NULL;
+ }
+
+
+
+ inline void Polyhedron::invert(int m_id) {
+ std::vector<bool> selected_manifolds(manifold_is_closed.size(), false);
+ if (m_id >=0 && (unsigned)m_id < selected_manifolds.size()) selected_manifolds[m_id] = true;
+ invert(selected_manifolds);
+ }
+
+
+
+ inline void Polyhedron::invert() {
+ invertAll();
+ }
+
+
+
+ inline bool Polyhedron::edgeOnManifold(const edge_t *e, int m_id) const {
+ const std::vector<const face_t *> &edge_faces = connectivity.edge_to_face[edgeToIndex_fast(e)];
+
+ for (size_t i = 0; i < edge_faces.size(); ++i) {
+ if (edge_faces[i] && edge_faces[i]->manifold_id == m_id) return true;
+ }
+ return false;
+ }
+
+ inline bool Polyhedron::vertexOnManifold(const vertex_t *v, int m_id) const {
+ const std::vector<const face_t *> &f = connectivity.vertex_to_face[vertexToIndex_fast(v)];
+
+ for (size_t i = 0; i < f.size(); ++i) {
+ if (f[i]->manifold_id == m_id) return true;
+ }
+ return false;
+ }
+
+
+
+ template<typename T>
+ int Polyhedron::edgeManifolds(const edge_t *e, T result) const {
+ const std::vector<const face_t *> &edge_faces = connectivity.edge_to_face[edgeToIndex_fast(e)];
+
+ for (size_t i = 0; i < (edge_faces.size() & ~1U); i += 2) {
+ const face_t *f1 = edge_faces[i];
+ const face_t *f2 = edge_faces[i+1];
+ assert (f1 || f2);
+ if (f1)
+ *result++ = f1->manifold_id;
+ else if (f2)
+ *result++ = f2->manifold_id;
+ }
+ return edge_faces.size() >> 1;
+ }
+
+
+
+ template<typename T>
+ int Polyhedron::vertexManifolds(const vertex_t *v, T result) const {
+ const std::vector<const face_t *> &f = connectivity.vertex_to_face[vertexToIndex_fast(v)];
+ std::set<int> em;
+
+ for (size_t i = 0; i < f.size(); ++i) {
+ em.insert(f[i]->manifold_id);
+ }
+
+ std::copy(em.begin(), em.end(), result);
+ return em.size();
+ }
+
+
+
+ template<typename T>
+ void Polyhedron::transform(const T &xform) {
+ for (size_t i = 0; i < vertices.size(); i++) {
+ vertices[i].v = xform(vertices[i].v);
+ }
+ faceRecalc();
+ init();
+ }
+
+
+
+ inline size_t Polyhedron::manifoldCount() const {
+ return manifold_is_closed.size();
+ }
+
+
+
+ inline bool Polyhedron::hasOpenManifolds() const {
+ for (size_t i = 0; i < manifold_is_closed.size(); ++i) {
+ if (!manifold_is_closed[i]) return true;
+ }
+ return false;
+ }
+
+
+
+ inline std::ostream &operator<<(std::ostream &o, const Polyhedron &p) {
+ p.print(o);
+ return o;
+ }
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/polyline.hpp b/extern/carve/include/carve/polyline.hpp
new file mode 100644
index 00000000000..a6789f8d0c5
--- /dev/null
+++ b/extern/carve/include/carve/polyline.hpp
@@ -0,0 +1,24 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/polyline_decl.hpp>
+#include <carve/polyline_impl.hpp>
+#include <carve/polyline_iter.hpp>
diff --git a/extern/carve/include/carve/polyline_decl.hpp b/extern/carve/include/carve/polyline_decl.hpp
new file mode 100644
index 00000000000..a29c56656ff
--- /dev/null
+++ b/extern/carve/include/carve/polyline_decl.hpp
@@ -0,0 +1,151 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <iterator>
+#include <list>
+#include <iterator>
+#include <limits>
+
+#include <carve/carve.hpp>
+#include <carve/tag.hpp>
+#include <carve/geom.hpp>
+#include <carve/kd_node.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/aabb.hpp>
+
+namespace carve {
+ namespace line {
+
+ struct PolylineEdge;
+ struct Polyline;
+ struct polyline_vertex_const_iter;
+ struct polyline_vertex_iter;
+ struct polyline_edge_const_iter;
+ struct polyline_edge_iter;
+
+
+
+ struct Vertex : public tagable {
+ carve::geom3d::Vector v;
+ std::list<std::pair<PolylineEdge *, PolylineEdge *> > edge_pairs;
+
+ void addEdgePair(PolylineEdge *in, PolylineEdge *out) {
+ edge_pairs.push_back(std::make_pair(in, out));
+ }
+ };
+
+
+
+ struct vec_adapt_vertex_ptr {
+ const carve::geom3d::Vector &operator()(const Vertex * const &v) { return v->v; }
+ carve::geom3d::Vector &operator()(Vertex *&v) { return v->v; }
+ };
+
+
+
+ struct PolylineEdge : public tagable {
+ Polyline *parent;
+ unsigned edgenum;
+ Vertex *v1, *v2;
+
+ PolylineEdge(Polyline *_parent, int _edgenum, Vertex *_v1, Vertex *_v2);
+
+ carve::geom3d::AABB aabb() const;
+
+ inline PolylineEdge *prevEdge() const;
+ inline PolylineEdge *nextEdge() const;
+ };
+
+
+
+ struct Polyline {
+ bool closed;
+ std::vector<PolylineEdge *> edges;
+
+ Polyline();
+
+ size_t vertexCount() const;
+
+ size_t edgeCount() const;
+
+ const PolylineEdge *edge(size_t e) const;
+
+ PolylineEdge *edge(size_t e);
+
+ const Vertex *vertex(size_t v) const;
+
+ Vertex *vertex(size_t v);
+
+ bool isClosed() const;
+
+ polyline_vertex_const_iter vbegin() const;
+ polyline_vertex_const_iter vend() const;
+ polyline_vertex_iter vbegin();
+ polyline_vertex_iter vend();
+
+ polyline_edge_const_iter ebegin() const;
+ polyline_edge_const_iter eend() const;
+ polyline_edge_iter ebegin();
+ polyline_edge_iter eend();
+
+ carve::geom3d::AABB aabb() const;
+
+ template<typename iter_t>
+ void _init(bool c, iter_t begin, iter_t end, std::vector<Vertex> &vertices);
+
+ template<typename iter_t>
+ void _init(bool closed, iter_t begin, iter_t end, std::vector<Vertex> &vertices, std::forward_iterator_tag);
+
+ template<typename iter_t>
+ void _init(bool closed, iter_t begin, iter_t end, std::vector<Vertex> &vertices, std::random_access_iterator_tag);
+
+ template<typename iter_t>
+ Polyline(bool closed, iter_t begin, iter_t end, std::vector<Vertex> &vertices);
+
+ ~Polyline() {
+ for (size_t i = 0; i < edges.size(); ++i) {
+ delete edges[i];
+ }
+ }
+ };
+
+
+
+ struct PolylineSet {
+ typedef std::list<Polyline *> line_list;
+ typedef line_list::iterator line_iter;
+ typedef line_list::const_iterator const_line_iter;
+
+ std::vector<Vertex> vertices;
+ line_list lines;
+ carve::geom3d::AABB aabb;
+
+ PolylineSet(const std::vector<carve::geom3d::Vector> &points);
+ PolylineSet() {
+ }
+
+ template<typename iter_t>
+ void addPolyline(bool closed, iter_t begin, iter_t end);
+
+ void sortVertices(const carve::geom3d::Vector &axis);
+
+ size_t vertexToIndex_fast(const Vertex *v) const;
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/polyline_impl.hpp b/extern/carve/include/carve/polyline_impl.hpp
new file mode 100644
index 00000000000..3c17980a9af
--- /dev/null
+++ b/extern/carve/include/carve/polyline_impl.hpp
@@ -0,0 +1,160 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+namespace carve {
+ namespace line {
+
+ inline PolylineEdge::PolylineEdge(Polyline *_parent, int _edgenum, Vertex *_v1, Vertex *_v2) :
+ tagable(), parent(_parent), edgenum(_edgenum), v1(_v1), v2(_v2) {
+ }
+
+ inline carve::geom3d::AABB PolylineEdge::aabb() const {
+ carve::geom3d::AABB a;
+ a.fit(v1->v, v2->v);
+ return a;
+ }
+
+ inline PolylineEdge *PolylineEdge::prevEdge() const {
+ if (edgenum) {
+ return parent->edge(edgenum - 1);
+ } else {
+ if (parent->closed) {
+ return parent->edge(parent->edgeCount() - 1);
+ } else {
+ return NULL;
+ }
+ }
+ }
+
+ inline PolylineEdge *PolylineEdge::nextEdge() const {
+ if (edgenum + 1 < parent->edgeCount()) {
+ return parent->edge(edgenum + 1);
+ } else {
+ if (parent->closed) {
+ return parent->edge(0);
+ } else {
+ return NULL;
+ }
+ }
+ }
+
+
+
+ inline Polyline::Polyline() : edges() {
+ }
+
+ inline size_t Polyline::vertexCount() const {
+ return edgeCount() + (closed ? 0 : 1);
+ }
+
+ inline size_t Polyline::edgeCount() const {
+ return edges.size();
+ }
+
+ inline const PolylineEdge *Polyline::edge(size_t e) const {
+ return edges[e % edges.size()];
+ }
+
+ inline PolylineEdge *Polyline::edge(size_t e) {
+ return edges[e % edges.size()];
+ }
+
+ inline const Vertex *Polyline::vertex(size_t v) const {
+ if (closed) {
+ v %= edgeCount();
+ } else if (v >= edgeCount()) {
+ return v == edgeCount() ? edges.back()->v2 : NULL;
+ }
+ return edges[v]->v1;
+ }
+
+ inline Vertex *Polyline::vertex(size_t v) {
+ if (closed) {
+ v %= edgeCount();
+ } else if (v >= edgeCount()) {
+ return v == edgeCount() ? edges.back()->v2 : NULL;
+ }
+ return edges[v]->v1;
+ }
+
+ inline bool Polyline::isClosed() const {
+ return closed;
+ }
+
+ template<typename iter_t>
+ void Polyline::_init(bool c, iter_t begin, iter_t end, std::vector<Vertex> &vertices) {
+ closed = c;
+
+ PolylineEdge *e;
+ if (begin == end) return;
+ size_t v1 = (int)*begin++;
+ if (begin == end) return;
+
+ while (begin != end) {
+ size_t v2 = (int)*begin++;
+ e = new PolylineEdge(this, edges.size(), &vertices[v1], &vertices[v2]);
+ edges.push_back(e);
+ v1 = v2;
+ }
+
+ if (closed) {
+ e = new PolylineEdge(this, edges.size(), edges.back()->v2, edges.front()->v1);
+ edges.push_back(e);
+
+ edges.front()->v1->addEdgePair(edges.back(), edges.front());
+ for (size_t i = 1; i < edges.size(); ++i) {
+ edges[i]->v1->addEdgePair(edges[i-1], edges[i]);
+ }
+ } else {
+ edges.front()->v1->addEdgePair(NULL, edges.front());
+ for (size_t i = 1; i < edges.size(); ++i) {
+ edges[i]->v1->addEdgePair(edges[i-1], edges[i]);
+ }
+ edges.back()->v2->addEdgePair(edges.back(), NULL);
+ }
+ }
+
+ template<typename iter_t>
+ void Polyline::_init(bool closed, iter_t begin, iter_t end, std::vector<Vertex> &vertices, std::forward_iterator_tag) {
+ _init(closed, begin, end, vertices);
+ }
+
+ template<typename iter_t>
+ void Polyline::_init(bool closed, iter_t begin, iter_t end, std::vector<Vertex> &vertices, std::random_access_iterator_tag) {
+ edges.reserve(end - begin - (closed ? 0 : 1));
+ _init(closed, begin, end, vertices);
+ }
+
+ template<typename iter_t>
+ Polyline::Polyline(bool closed, iter_t begin, iter_t end, std::vector<Vertex> &vertices) {
+ _init(closed, begin, end, vertices, typename std::iterator_traits<iter_t>::iterator_category());
+ }
+
+
+
+ template<typename iter_t>
+ void PolylineSet::addPolyline(bool closed, iter_t begin, iter_t end) {
+ Polyline *p = new Polyline(closed, begin, end, vertices);
+ lines.push_back(p);
+ }
+
+ inline size_t PolylineSet::vertexToIndex_fast(const Vertex *v) const {
+ return v - &vertices[0];
+ }
+ }
+}
diff --git a/extern/carve/include/carve/polyline_iter.hpp b/extern/carve/include/carve/polyline_iter.hpp
new file mode 100644
index 00000000000..5092f9abecd
--- /dev/null
+++ b/extern/carve/include/carve/polyline_iter.hpp
@@ -0,0 +1,198 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+#pragma once
+
+#include <iterator>
+#include <list>
+#include <iterator>
+#include <limits>
+
+#include <carve/polyline_decl.hpp>
+
+namespace carve {
+ namespace line {
+
+ struct polyline_vertex_iter : public std::iterator<std::random_access_iterator_tag, Vertex *> {
+ Polyline *base;
+ size_t idx;
+
+ polyline_vertex_iter(Polyline *_base) : base(_base), idx(0) {
+ }
+
+ polyline_vertex_iter(Polyline *_base, size_t _idx) : base(_base), idx(_idx) {
+ }
+
+ polyline_vertex_iter operator++(int) { return polyline_vertex_iter(base, idx++); }
+ polyline_vertex_iter &operator++() { ++idx; return *this; }
+ polyline_vertex_iter &operator+=(int v) { idx += v; return *this; }
+
+ polyline_vertex_iter operator--(int) { return polyline_vertex_iter(base, idx--); }
+ polyline_vertex_iter &operator--() { --idx; return *this; }
+ polyline_vertex_iter &operator-=(int v) { idx -= v; return *this; }
+
+ Vertex *operator*() const {
+ return base->vertex(idx);
+ }
+ };
+
+
+
+ static inline ptrdiff_t operator-(const polyline_vertex_iter &a, const polyline_vertex_iter &b) { return a.idx - b.idx; }
+
+ static inline bool operator==(const polyline_vertex_iter&a, const polyline_vertex_iter &b) { return a.idx == b.idx; }
+ static inline bool operator!=(const polyline_vertex_iter&a, const polyline_vertex_iter &b) { return a.idx != b.idx; }
+ static inline bool operator<(const polyline_vertex_iter&a, const polyline_vertex_iter &b) { return a.idx < b.idx; }
+ static inline bool operator>(const polyline_vertex_iter&a, const polyline_vertex_iter &b) { return a.idx > b.idx; }
+ static inline bool operator<=(const polyline_vertex_iter&a, const polyline_vertex_iter &b) { return a.idx <= b.idx; }
+ static inline bool operator>=(const polyline_vertex_iter&a, const polyline_vertex_iter &b) { return a.idx >= b.idx; }
+
+
+
+ struct polyline_vertex_const_iter : public std::iterator<std::random_access_iterator_tag, Vertex *> {
+ const Polyline *base;
+ size_t idx;
+
+ polyline_vertex_const_iter(const Polyline *_base) : base(_base), idx(0) {
+ }
+
+ polyline_vertex_const_iter(const Polyline *_base, size_t _idx) : base(_base), idx(_idx) {
+ }
+
+ polyline_vertex_const_iter operator++(int) { return polyline_vertex_const_iter(base, idx++); }
+ polyline_vertex_const_iter &operator++() { ++idx; return *this; }
+ polyline_vertex_const_iter &operator+=(int v) { idx += v; return *this; }
+
+ polyline_vertex_const_iter operator--(int) { return polyline_vertex_const_iter(base, idx--); }
+ polyline_vertex_const_iter &operator--() { --idx; return *this; }
+ polyline_vertex_const_iter &operator-=(int v) { idx -= v; return *this; }
+
+ const Vertex *operator*() const {
+ return base->vertex(idx);
+ }
+ };
+
+
+
+ static inline ptrdiff_t operator-(const polyline_vertex_const_iter &a, const polyline_vertex_const_iter &b) { return a.idx - b.idx; }
+
+ static inline bool operator==(const polyline_vertex_const_iter&a, const polyline_vertex_const_iter &b) { return a.idx == b.idx; }
+ static inline bool operator!=(const polyline_vertex_const_iter&a, const polyline_vertex_const_iter &b) { return a.idx != b.idx; }
+ static inline bool operator<(const polyline_vertex_const_iter&a, const polyline_vertex_const_iter &b) { return a.idx < b.idx; }
+ static inline bool operator>(const polyline_vertex_const_iter&a, const polyline_vertex_const_iter &b) { return a.idx > b.idx; }
+ static inline bool operator<=(const polyline_vertex_const_iter&a, const polyline_vertex_const_iter &b) { return a.idx <= b.idx; }
+ static inline bool operator>=(const polyline_vertex_const_iter&a, const polyline_vertex_const_iter &b) { return a.idx >= b.idx; }
+
+ inline polyline_vertex_const_iter Polyline::vbegin() const {
+ return polyline_vertex_const_iter(this, 0);
+ }
+ inline polyline_vertex_const_iter Polyline::vend() const {
+ return polyline_vertex_const_iter(this, vertexCount());
+ }
+ inline polyline_vertex_iter Polyline::vbegin() {
+ return polyline_vertex_iter(this, 0);
+ }
+ inline polyline_vertex_iter Polyline::vend() {
+ return polyline_vertex_iter(this, vertexCount());
+ }
+
+
+
+ struct polyline_edge_iter : public std::iterator<std::random_access_iterator_tag, PolylineEdge *> {
+ Polyline *base;
+ size_t idx;
+
+ polyline_edge_iter(Polyline *_base) : base(_base), idx(0) {
+ }
+
+ polyline_edge_iter(Polyline *_base, size_t _idx) : base(_base), idx(_idx) {
+ }
+
+ polyline_edge_iter operator++(int) { return polyline_edge_iter(base, idx++); }
+ polyline_edge_iter &operator++() { ++idx; return *this; }
+ polyline_edge_iter &operator+=(int v) { idx += v; return *this; }
+
+ polyline_edge_iter operator--(int) { return polyline_edge_iter(base, idx--); }
+ polyline_edge_iter &operator--() { --idx; return *this; }
+ polyline_edge_iter &operator-=(int v) { idx -= v; return *this; }
+
+ PolylineEdge *operator*() const {
+ return base->edge(idx);
+ }
+ };
+
+
+
+ static inline int operator-(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx - b.idx; }
+
+ static inline bool operator==(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx == b.idx; }
+ static inline bool operator!=(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx != b.idx; }
+ static inline bool operator<(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx < b.idx; }
+ static inline bool operator>(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx > b.idx; }
+ static inline bool operator<=(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx <= b.idx; }
+ static inline bool operator>=(const polyline_edge_iter&a, const polyline_edge_iter &b) { return a.idx >= b.idx; }
+
+
+
+ struct polyline_edge_const_iter : public std::iterator<std::random_access_iterator_tag, PolylineEdge *> {
+ const Polyline *base;
+ size_t idx;
+
+ polyline_edge_const_iter(const Polyline *_base) : base(_base), idx(0) {
+ }
+
+ polyline_edge_const_iter(const Polyline *_base, size_t _idx) : base(_base), idx(_idx) {
+ }
+
+ polyline_edge_const_iter operator++(int) { return polyline_edge_const_iter(base, idx++); }
+ polyline_edge_const_iter &operator++() { ++idx; return *this; }
+ polyline_edge_const_iter &operator+=(int v) { idx += v; return *this; }
+
+ polyline_edge_const_iter operator--(int) { return polyline_edge_const_iter(base, idx--); }
+ polyline_edge_const_iter &operator--() { --idx; return *this; }
+ polyline_edge_const_iter &operator-=(int v) { idx -= v; return *this; }
+
+ const PolylineEdge *operator*() const {
+ return base->edge(idx);
+ }
+ };
+
+
+
+ static inline int operator-(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx - b.idx; }
+
+ static inline bool operator==(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx == b.idx; }
+ static inline bool operator!=(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx != b.idx; }
+ static inline bool operator<(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx < b.idx; }
+ static inline bool operator>(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx > b.idx; }
+ static inline bool operator<=(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx <= b.idx; }
+ static inline bool operator>=(const polyline_edge_const_iter&a, const polyline_edge_const_iter &b) { return a.idx >= b.idx; }
+
+ inline polyline_edge_const_iter Polyline::ebegin() const {
+ return polyline_edge_const_iter(this, 0);
+ }
+ inline polyline_edge_const_iter Polyline::eend() const {
+ return polyline_edge_const_iter(this, edgeCount());
+ }
+ inline polyline_edge_iter Polyline::ebegin() {
+ return polyline_edge_iter(this, 0);
+ }
+ inline polyline_edge_iter Polyline::eend() {
+ return polyline_edge_iter(this, edgeCount());
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/rescale.hpp b/extern/carve/include/carve/rescale.hpp
new file mode 100644
index 00000000000..6478298cfe6
--- /dev/null
+++ b/extern/carve/include/carve/rescale.hpp
@@ -0,0 +1,100 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/vector.hpp>
+#include <carve/aabb.hpp>
+#include <carve/matrix.hpp>
+
+#include <limits>
+
+namespace carve {
+ namespace rescale {
+
+ template<typename T>
+ T calc_scale(T max) {
+ const int radix = std::numeric_limits<T>::radix;
+
+ T div = T(1);
+ T m = fabs(max);
+ while (div < m) div *= radix;
+ m *= radix;
+ while (div > m) div /= radix;
+ return div;
+ }
+
+ template<typename T>
+ T calc_delta(T min, T max) {
+ const int radix = std::numeric_limits<T>::radix;
+
+ if (min >= T(0) || max <= T(0)) {
+ bool neg = false;
+ if (max <= T(0)) {
+ min = -min;
+ max = -max;
+ std::swap(min, max);
+ neg = true;
+ }
+ T t = T(1);
+ while (t > max) t /= radix;
+ while (t <= max/radix) t *= radix;
+ volatile T temp = t + min;
+ temp -= t;
+ if (neg) temp = -temp;
+ return temp;
+ } else {
+ return T(0);
+ }
+ }
+
+ struct rescale {
+ double dx, dy, dz, scale;
+
+ void init(double minx, double miny, double minz, double maxx, double maxy, double maxz) {
+ dx = calc_delta(minx, maxx); minx -= dx; maxx -= dx;
+ dy = calc_delta(miny, maxy); miny -= dy; maxy -= dy;
+ dz = calc_delta(minz, maxz); minz -= dz; maxz -= dz;
+ scale = calc_scale(std::max(std::max(fabs(minz), fabs(maxz)),
+ std::max(std::max(fabs(minx), fabs(maxx)),
+ std::max(fabs(miny), fabs(maxy)))));
+ }
+
+ rescale(double minx, double miny, double minz, double maxx, double maxy, double maxz) {
+ init(minx, miny, minz, maxx, maxy, maxz);
+ }
+ rescale(const carve::geom3d::Vector &min, const carve::geom3d::Vector &max) {
+ init(min.x, min.y, min.z, max.x, max.y, max.z);
+ }
+ };
+
+ struct fwd {
+ rescale r;
+ fwd(const rescale &_r) : r(_r) { }
+ carve::geom3d::Vector operator()(const carve::geom3d::Vector &v) const { return carve::geom::VECTOR((v.x - r.dx) / r.scale, (v.y - r.dy) / r.scale, (v.z - r.dz) / r.scale); }
+ };
+
+ struct rev {
+ rescale r;
+ rev(const rescale &_r) : r(_r) { }
+ carve::geom3d::Vector operator()(const carve::geom3d::Vector &v) const { return carve::geom::VECTOR((v.x * r.scale) + r.dx, (v.y * r.scale) + r.dy, (v.z * r.scale) + r.dz); }
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/rtree.hpp b/extern/carve/include/carve/rtree.hpp
new file mode 100644
index 00000000000..77f93c14e08
--- /dev/null
+++ b/extern/carve/include/carve/rtree.hpp
@@ -0,0 +1,501 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom.hpp>
+#include <carve/aabb.hpp>
+
+#include <iostream>
+
+#include <cmath>
+#include <limits>
+
+#if defined(HAVE_STDINT_H)
+# include <stdint.h>
+#endif
+
+namespace carve {
+ namespace geom {
+
+ template<unsigned ndim,
+ typename data_t,
+ typename aabb_calc_t = carve::geom::get_aabb<ndim, data_t> >
+ struct RTreeNode {
+ typedef aabb<ndim> aabb_t;
+ typedef vector<ndim> vector_t;
+ typedef RTreeNode<ndim, data_t, aabb_calc_t> node_t;
+
+ aabb_t bbox;
+ node_t *child;
+ node_t *sibling;
+ std::vector<data_t> data;
+
+ aabb_t getAABB() const { return bbox; }
+
+
+
+ struct data_aabb_t {
+ aabb_t bbox;
+ data_t data;
+
+ data_aabb_t() { }
+ data_aabb_t(const data_t &_data) : bbox(aabb_calc_t()(_data)), data(_data) {
+ }
+
+ aabb_t getAABB() const { return bbox; }
+
+ struct cmp {
+ size_t dim;
+ cmp(size_t _dim) : dim(_dim) { }
+ bool operator()(const data_aabb_t &a, const data_aabb_t &b) {
+ return a.bbox.pos.v[dim] < b.bbox.pos.v[dim];
+ }
+ };
+ };
+
+ // Fill an rtree node with a set of (data, aabb) pairs.
+ template<typename iter_t>
+ void _fill(iter_t begin, iter_t end, data_aabb_t) {
+ data.reserve(std::distance(begin, end));
+ for (iter_t i = begin; i != end; ++i) {
+ data.push_back((*i).data);
+ }
+ bbox.fit(begin, end);
+ }
+
+ // Fill an rtree node with a set of data.
+ template<typename iter_t>
+ void _fill(iter_t begin, iter_t end, data_t) {
+ data.reserve(std::distance(begin, end));
+ std::copy(begin, end, std::back_inserter(data));
+ bbox.fit(begin, end, aabb_calc_t());
+ }
+
+ // Fill an rtree node with a set of child nodes.
+ template<typename iter_t>
+ void _fill(iter_t begin, iter_t end, node_t *) {
+ iter_t i = begin;
+ node_t *curr = child = *i;
+ while (++i != end) {
+ curr->sibling = *i;
+ curr = curr->sibling;
+ }
+ bbox.fit(begin, end);
+ }
+
+ // Search the rtree for objects that intersect obj (generally an aabb).
+ // The aabb class must provide a method intersects(obj_t).
+ template<typename obj_t, typename out_iter_t>
+ void search(const obj_t &obj, out_iter_t out) const {
+ if (!bbox.intersects(obj)) return;
+ if (child) {
+ for (node_t *node = child; node; node = node->sibling) {
+ node->search(obj, out);
+ }
+ } else {
+ std::copy(data.begin(), data.end(), out);
+ }
+ }
+
+ // update the bounding box extents of nodes that intersect obj (generally an aabb).
+ // The aabb class must provide a method intersects(obj_t).
+ template<typename obj_t>
+ void updateExtents(const obj_t &obj) {
+ if (!bbox.intersects(obj)) return;
+
+ if (child) {
+ node_t *node = child;
+ node->updateExtents(obj);
+ bbox = node->bbox;
+ for (node = node->sibling; node; node = node->sibling) {
+ node->updateExtents(obj);
+ bbox.unionAABB(node->bbox);
+ }
+ } else {
+ bbox.fit(data.begin(), data.end());
+ }
+ }
+
+ // update the bounding box extents of nodes that intersect obj (generally an aabb).
+ // The aabb class must provide a method intersects(obj_t).
+ bool remove(const data_t &val, const aabb_t &val_aabb) {
+ if (!bbox.intersects(val_aabb)) return false;
+
+ if (child) {
+ node_t *node = child;
+ node->remove(val, val_aabb);
+ bbox = node->bbox;
+ bool removed = false;
+ for (node = node->sibling; node; node = node->sibling) {
+ if (!removed) removed = node->remove(val, val_aabb);
+ bbox.unionAABB(node->bbox);
+ }
+ return removed;
+ } else {
+ typename std::vector<data_t>::iterator i = std::remove(data.begin(), data.end(), val);
+ if (i == data.end()) {
+ return false;
+ }
+ data.erase(i, data.end());
+ bbox.fit(data.begin(), data.end());
+ return true;
+ }
+ }
+
+ template<typename iter_t>
+ RTreeNode(iter_t begin, iter_t end) : bbox(), child(NULL), sibling(NULL), data() {
+ _fill(begin, end, typename std::iterator_traits<iter_t>::value_type());
+ }
+
+
+
+ // functor for ordering nodes by increasing aabb midpoint, along a specified axis.
+ struct aabb_cmp_mid {
+ size_t dim;
+ aabb_cmp_mid(size_t _dim) : dim(_dim) { }
+
+ bool operator()(const node_t *a, const node_t *b) {
+ return a->bbox.mid(dim) < b->bbox.mid(dim);
+ }
+ bool operator()(const data_aabb_t &a, const data_aabb_t &b) {
+ return a.bbox.mid(dim) < b.bbox.mid(dim);
+ }
+ };
+
+ // functor for ordering nodes by increasing aabb minimum, along a specified axis.
+ struct aabb_cmp_min {
+ size_t dim;
+ aabb_cmp_min(size_t _dim) : dim(_dim) { }
+
+ bool operator()(const node_t *a, const node_t *b) {
+ return a->bbox.min(dim) < b->bbox.min(dim);
+ }
+ bool operator()(const data_aabb_t &a, const data_aabb_t &b) {
+ return a.bbox.min(dim) < b.bbox.min(dim);
+ }
+ };
+
+ // functor for ordering nodes by increasing aabb maximum, along a specified axis.
+ struct aabb_cmp_max {
+ size_t dim;
+ aabb_cmp_max(size_t _dim) : dim(_dim) { }
+
+ bool operator()(const node_t *a, const node_t *b) {
+ return a->bbox.max(dim) < b->bbox.max(dim);
+ }
+ bool operator()(const data_aabb_t &a, const data_aabb_t &b) {
+ return a.bbox.max(dim) < b.bbox.max(dim);
+ }
+ };
+
+ // facade for projecting node bounding box onto an axis.
+ struct aabb_extent {
+ size_t dim;
+ aabb_extent(size_t _dim) : dim(_dim) { }
+
+ double min(const node_t *a) { return a->bbox.pos.v[dim] - a->bbox.extent.v[dim]; }
+ double max(const node_t *a) { return a->bbox.pos.v[dim] + a->bbox.extent.v[dim]; }
+ double len(const node_t *a) { return 2.0 * a->bbox.extent.v[dim]; }
+ double min(const data_aabb_t &a) { return a.bbox.pos.v[dim] - a.bbox.extent.v[dim]; }
+ double max(const data_aabb_t &a) { return a.bbox.pos.v[dim] + a.bbox.extent.v[dim]; }
+ double len(const data_aabb_t &a) { return 2.0 * a.bbox.extent.v[dim]; }
+ };
+
+ template<typename iter_t>
+ static void makeNodes(const iter_t begin,
+ const iter_t end,
+ size_t dim_num,
+ uint32_t dim_mask,
+ size_t child_size,
+ std::vector<node_t *> &out) {
+ const size_t N = std::distance(begin, end);
+
+ size_t dim = ndim;
+ double r_best = N+1;
+
+ // find the sparsest remaining dimension to partition by.
+ for (size_t i = 0; i < ndim; ++i) {
+ if (dim_mask & (1U << i)) continue;
+ aabb_extent extent(i);
+ double dmin, dmax, dsum;
+
+ dmin = extent.min(*begin);
+ dmax = extent.max(*begin);
+ dsum = 0.0;
+ for (iter_t j = begin; j != end; ++j) {
+ dmin = std::min(dmin, extent.min(*j));
+ dmax = std::max(dmax, extent.max(*j));
+ dsum += extent.len(*j);
+ }
+ double r = dsum ? dsum / (dmax - dmin) : 0.0;
+ if (r_best > r) {
+ dim = i;
+ r_best = r;
+ }
+ }
+
+ CARVE_ASSERT(dim < ndim);
+
+ // dim = dim_num;
+
+ const size_t P = (N + child_size - 1) / child_size;
+ const size_t n_parts = (size_t)std::ceil(std::pow((double)P, 1.0 / (ndim - dim_num)));
+
+ std::sort(begin, end, aabb_cmp_mid(dim));
+
+ if (dim_num == ndim - 1 || n_parts == 1) {
+ for (size_t i = 0, s = 0, e = 0; i < P; ++i, s = e) {
+ e = N * (i+1) / P;
+ CARVE_ASSERT(e - s <= child_size);
+ out.push_back(new node_t(begin + s, begin + e));
+ }
+ } else {
+ for (size_t i = 0, s = 0, e = 0; i < n_parts; ++i, s = e) {
+ e = N * (i+1) / n_parts;
+ makeNodes(begin + s, begin + e, dim_num + 1, dim_mask | (1U << dim), child_size, out);
+ }
+ }
+ }
+
+ static node_t *construct_STR(std::vector<data_aabb_t> &data, size_t leaf_size, size_t internal_size) {
+ std::vector<node_t *> out;
+ makeNodes(data.begin(), data.end(), 0, 0, leaf_size, out);
+
+ while (out.size() > 1) {
+ std::vector<node_t *> next;
+ makeNodes(out.begin(), out.end(), 0, 0, internal_size, next);
+ std::swap(out, next);
+ }
+
+ CARVE_ASSERT(out.size() == 1);
+ return out[0];
+ }
+
+ template<typename iter_t>
+ static node_t *construct_STR(const iter_t &begin,
+ const iter_t &end,
+ size_t leaf_size,
+ size_t internal_size) {
+ std::vector<data_aabb_t> data;
+ data.reserve(std::distance(begin, end));
+ for (iter_t i = begin; i != end; ++i) {
+ data.push_back(*i);
+ }
+ return construct_STR(data, leaf_size, internal_size);
+ }
+
+
+ template<typename iter_t>
+ static node_t *construct_STR(const iter_t &begin1,
+ const iter_t &end1,
+ const iter_t &begin2,
+ const iter_t &end2,
+ size_t leaf_size,
+ size_t internal_size) {
+ std::vector<data_aabb_t> data;
+ data.reserve(std::distance(begin1, end1) + std::distance(begin2, end2));
+ for (iter_t i = begin1; i != end1; ++i) {
+ data.push_back(*i);
+ }
+ for (iter_t i = begin2; i != end2; ++i) {
+ data.push_back(*i);
+ }
+ return construct_STR(data, leaf_size, internal_size);
+ }
+
+
+ struct partition_info {
+ double score;
+ size_t partition_pos;
+
+ partition_info() : score(std::numeric_limits<double>::max()), partition_pos(0) {
+ }
+ partition_info(double _score, size_t _partition_pos) :
+ score(_score),
+ partition_pos(_partition_pos) {
+ }
+ };
+
+ static partition_info findPartition(typename std::vector<data_aabb_t>::iterator base,
+ std::vector<size_t>::iterator begin,
+ std::vector<size_t>::iterator end,
+ size_t part_size) {
+ partition_info best(std::numeric_limits<double>::max(), 0);
+ const size_t N = std::distance(begin, end);
+
+ std::vector<double> rhs_vol(N, 0.0);
+
+ aabb_t rhs = base[begin[N-1]].aabb;
+ rhs_vol[N-1] = rhs.volume();
+ for (size_t i = N - 1; i > 0; ) {
+ rhs.unionAABB(base[begin[--i]].aabb);
+ rhs_vol[i] = rhs.volume();
+ }
+
+ aabb_t lhs = base[begin[0]].aabb;
+ for (size_t i = 1; i < N; ++i) {
+ lhs.unionAABB(base[begin[i]].aabb);
+ if (i % part_size == 0 || (N - i) % part_size == 0) {
+ partition_info curr(lhs.volume() + rhs_vol[i], i);
+ if (best.score > curr.score) best = curr;
+ }
+ }
+ return best;
+ }
+
+ static void partition(typename std::vector<data_aabb_t>::iterator base,
+ std::vector<size_t>::iterator begin,
+ std::vector<size_t>::iterator end,
+ size_t part_size,
+ std::vector<size_t> &part_num,
+ size_t &part_next) {
+ const size_t N = std::distance(begin, end);
+
+ partition_info best;
+ partition_info curr;
+ size_t part_curr = part_num[*begin];
+
+ std::vector<size_t> tmp(begin, end);
+
+ for (size_t dim = 0; dim < ndim; ++dim) {
+ std::sort(tmp.begin(), tmp.end(), make_index_sort(base, aabb_cmp_min(dim)));
+ curr = findPartition(base, tmp.begin(), tmp.end(), part_size);
+ if (best.score > curr.score) {
+ best = curr;
+ std::copy(tmp.begin(), tmp.end(), begin);
+ }
+
+ std::sort(tmp.begin(), tmp.end(), make_index_sort(base, aabb_cmp_mid(dim)));
+ curr = findPartition(base, tmp.begin(), tmp.end(), part_size);
+ if (best.score > curr.score) {
+ best = curr;
+ std::copy(tmp.begin(), tmp.end(), begin);
+ }
+
+ std::sort(tmp.begin(), tmp.end(), make_index_sort(base, aabb_cmp_max(dim)));
+ curr = findPartition(base, tmp.begin(), tmp.end(), part_size);
+ if (best.score > curr.score) {
+ best = curr;
+ std::copy(tmp.begin(), tmp.end(), begin);
+ }
+ }
+
+ for (size_t j = 0; j < best.partition_pos; ++j) part_num[begin[j]] = part_curr;
+ for (size_t j = best.partition_pos; j < N; ++j) part_num[begin[j]] = part_next;
+ ++part_next;
+
+ if (best.partition_pos > part_size) {
+ partition(base, begin, begin + best.partition_pos, part_size, part_num, part_next);
+ }
+ if (N - best.partition_pos > part_size) {
+ partition(base, begin + best.partition_pos, end, part_size, part_num, part_next);
+ }
+ }
+
+ static size_t makePartitions(typename std::vector<data_aabb_t>::iterator begin,
+ typename std::vector<data_aabb_t>::iterator end,
+ size_t part_size,
+ std::vector<size_t> &part_num) {
+ const size_t N = std::distance(begin, end);
+ std::vector<size_t> idx;
+ idx.reserve(N);
+ for (size_t i = 0; i < N; ++i) { idx.push_back(i); }
+ size_t part_next = 1;
+
+ partition(begin, idx.begin(), idx.end(), part_size, part_num, part_next);
+ return part_next;
+ }
+
+ static node_t *construct_TGS(typename std::vector<data_aabb_t>::iterator begin,
+ typename std::vector<data_aabb_t>::iterator end,
+ size_t leaf_size,
+ size_t internal_size) {
+ size_t N = std::distance(begin, end);
+
+ if (N <= leaf_size) {
+ return new node_t(begin, end);
+ } else {
+ size_t P = (N + internal_size - 1) / internal_size;
+ std::vector<size_t> part_num(N, 0);
+ P = makePartitions(begin, end, P, part_num);
+
+ size_t S = 0, E = 0;
+ std::vector<node_t *> children;
+ for (size_t i = 0; i < P; ++i) {
+ size_t j = S, k = N;
+ while (true) {
+ while (true) {
+ if (j == k) goto done;
+ else if (part_num[j] == i) ++j;
+ else break;
+ }
+ --k;
+ while (true) {
+ if (j == k) goto done;
+ else if (part_num[k] != i) --k;
+ else break;
+ }
+ std::swap(*(begin+j), *(begin+k));
+ std::swap(part_num[j], part_num[k]);
+ ++j;
+ }
+ done:
+ E = j;
+ children.push_back(construct_TGS(begin + S, begin + E, leaf_size, internal_size));
+ S = E;
+ }
+ return new node_t(children.begin(), children.end());
+ }
+ }
+
+ template<typename iter_t>
+ static node_t *construct_TGS(const iter_t &begin,
+ const iter_t &end,
+ size_t leaf_size,
+ size_t internal_size) {
+ std::vector<data_aabb_t> data;
+ data.reserve(std::distance(begin, end));
+ for (iter_t i = begin; i != end; ++i) {
+ data.push_back(*i);
+ }
+ return construct_TGS(data.begin(), data.end(), leaf_size, internal_size);
+ }
+
+ template<typename iter_t>
+ static node_t *construct_TGS(const iter_t &begin1,
+ const iter_t &end1,
+ const iter_t &begin2,
+ const iter_t &end2,
+ size_t leaf_size,
+ size_t internal_size) {
+ std::vector<data_aabb_t> data;
+ data.reserve(std::distance(begin1, end1) + std::distance(begin2, end2));
+ for (iter_t i = begin1; i != end1; ++i) {
+ data.push_back(*i);
+ }
+ for (iter_t i = begin2; i != end2; ++i) {
+ data.push_back(*i);
+ }
+ return construct_TGS(data.begin(), data.end(), leaf_size, internal_size);
+ }
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/spacetree.hpp b/extern/carve/include/carve/spacetree.hpp
new file mode 100644
index 00000000000..f2ea2bb83a7
--- /dev/null
+++ b/extern/carve/include/carve/spacetree.hpp
@@ -0,0 +1,264 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom.hpp>
+#include <carve/aabb.hpp>
+#include <carve/vertex_decl.hpp>
+#include <carve/edge_decl.hpp>
+#include <carve/face_decl.hpp>
+
+namespace carve {
+
+ namespace space {
+
+ static inline bool intersection_test(const carve::geom::aabb<3> &aabb, const carve::poly::Face<3> *face) {
+ if (face->nVertices() == 3) {
+ return aabb.intersects(carve::geom::tri<3>(face->vertex(0)->v, face->vertex(1)->v, face->vertex(2)->v));
+ } else {
+ // partial, conservative SAT.
+ return aabb.intersects(face->aabb) && aabb.intersects(face->plane_eqn);
+ }
+ }
+
+ static inline bool intersection_test(const carve::geom::aabb<3> &aabb, const carve::poly::Edge<3> *edge) {
+ return aabb.intersectsLineSegment(edge->v1->v, edge->v2->v);
+ }
+
+ static inline bool intersection_test(const carve::geom::aabb<3> &aabb, const carve::poly::Vertex<3> *vertex) {
+ return aabb.intersects(vertex->v);
+ }
+
+
+
+ struct nodedata_FaceEdge {
+ std::vector<const carve::poly::Face<3> *> faces;
+ std::vector<const carve::poly::Edge<3> *> edges;
+
+ void add(const carve::poly::Face<3> *face) {
+ faces.push_back(face);
+ }
+
+ void add(const carve::poly::Edge<3> *edge) {
+ edges.push_back(edge);
+ }
+
+ template<typename iter_t>
+ void _fetch(iter_t &iter, const carve::poly::Edge<3> *) {
+ std::copy(edges.begin(), edges.end(), iter);
+ }
+
+ template<typename iter_t>
+ void _fetch(iter_t &iter, const carve::poly::Face<3> *) {
+ std::copy(faces.begin(), faces.end(), iter);
+ }
+
+ template<typename node_t>
+ void propagate(node_t *node) {
+ }
+
+ template<typename iter_t>
+ void fetch(iter_t &iter) {
+ return _fetch(iter, std::iterator_traits<iter_t>::value_type);
+ }
+ };
+
+
+
+ const static double SLACK_FACTOR = 1.0009765625;
+ const static unsigned MAX_SPLIT_DEPTH = 32;
+
+
+
+ template<unsigned n_dim, typename nodedata_t>
+ class SpatialSubdivTree {
+
+ typedef carve::geom::aabb<n_dim> aabb_t;
+ typedef carve::geom::vector<n_dim> vector_t;
+
+ public:
+
+ class Node {
+ enum {
+ n_children = 1 << n_dim
+ };
+
+ public:
+ Node *parent;
+ Node *children;
+
+ vector_t min;
+ vector_t max;
+
+ aabb_t aabb;
+
+ nodedata_t data;
+
+ private:
+ Node(const Node &node); // undefined.
+ Node &operator=(const Node &node); // undefined.
+
+ Node() {
+ }
+
+ inline aabb_t makeAABB() const {
+ vector_t centre = 0.5 * (min + max);
+ vector_t size = SLACK_FACTOR * 0.5 * (max - min);
+ return aabb_t(centre, size);
+ }
+
+ void setup(Node *_parent, const vector_t &_min, const vector_t &_max) {
+ parent = _parent;
+ min = _min;
+ max = _max;
+ aabb = makeAABB();
+ }
+
+ void alloc_children() {
+ vector_t mid = 0.5 * (min + max);
+ children = new Node[n_children];
+ for (size_t i = 0; i < (n_children); ++i) {
+ vector_t new_min, new_max;
+ for (size_t c = 0; c < n_dim; ++c) {
+ if (i & (1 << c)) {
+ new_min.v[c] = min.v[c];
+ new_max.v[c] = mid.v[c];
+ } else {
+ new_min.v[c] = mid.v[c];
+ new_max.v[c] = max.v[c];
+ }
+ }
+ children[i].setup(this, new_min, new_max);
+ }
+ }
+
+ void dealloc_children() {
+ delete [] children;
+ }
+
+ public:
+
+ inline bool isLeaf() const { return children == NULL; }
+
+ Node(Node *_parent, const vector_t &_min, const vector_t &_max) : parent(_parent), children(NULL), min(_min), max(_max) {
+ aabb = makeAABB();
+ }
+
+ ~Node() {
+ dealloc_children();
+ }
+
+ bool split() {
+ if (isLeaf()) {
+ alloc_children();
+ data.propagate(this);
+ }
+ return isLeaf();
+ }
+
+ template<typename obj_t>
+ void insert(const obj_t &object) {
+ if (!isLeaf()) {
+ for (size_t i = 0; i < n_children; ++i) {
+ if (intersection_test(children[i].aabb, object)) {
+ children[i].insert(object);
+ }
+ }
+ } else {
+ data.add(object);
+ }
+ }
+
+ template<typename obj_t>
+ void insertVector(typename std::vector<obj_t>::iterator beg, typename std::vector<obj_t>::iterator end) {
+ if (isLeaf()) {
+ while (beg != end) {
+ data.add(*beg);
+ }
+ } else {
+ for (size_t i = 0; i < n_children; ++i) {
+ typename std::vector<obj_t>::iterator mid = std::partition(beg, end, std::bind1st(intersection_test, children[i].aabb));
+ children[i].insertVector(beg, mid);
+ }
+ }
+ }
+
+ template<typename iter_t>
+ void insertMany(iter_t begin, iter_t end) {
+ if (isLeaf()) {
+ }
+ }
+
+ template<typename obj_t, typename iter_t, typename filter_t>
+ void findObjectsNear(const obj_t &object, iter_t &output, filter_t filter) {
+ if (!isLeaf()) {
+ for (size_t i = 0; i < n_children; ++i) {
+ if (intersection_test(children[i].aabb, object)) {
+ children[i].findObjectsNear(object, output, filter);
+ }
+ }
+ return;
+ }
+ data.fetch(output);
+ }
+
+ // bool hasGeometry();
+
+ // template <class T>
+ // void putInside(const T &input, Node *child, T &output);
+
+ };
+
+
+
+ Node *root;
+
+ SpatialSubdivTree(const vector_t &_min, const vector_t &_max) : root(new Node(NULL, _min, _max)) {
+ }
+
+ ~SpatialSubdivTree() {
+ delete root;
+ }
+
+ struct no_filter {
+ template<typename obj_t>
+ bool operator()(const obj_t &obj) const {
+ return true;
+ }
+ };
+
+ struct tag_filter {
+ template<typename obj_t>
+ bool operator()(const obj_t &obj) const {
+ return obj.tag_once();
+ }
+ };
+
+ // in order to be used as an input, aabb_t::intersect(const obj_t &) must exist.
+ template<typename obj_t, typename iter_t, typename filter_t>
+ void findObjectsNear(const obj_t &object, iter_t output, filter_t filter) {
+ if (!intersection_test(root->aabb, object)) return;
+ root->findObjectsNear(root, object, output, filter);
+ }
+
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/tag.hpp b/extern/carve/include/carve/tag.hpp
new file mode 100644
index 00000000000..57f9ba21460
--- /dev/null
+++ b/extern/carve/include/carve/tag.hpp
@@ -0,0 +1,44 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+namespace carve {
+
+ class tagable {
+ private:
+ static int s_count;
+
+ protected:
+ mutable int __tag;
+
+ public:
+ tagable(const tagable &) : __tag(s_count - 1) { }
+ tagable &operator=(const tagable &) { return *this; }
+
+ tagable() : __tag(s_count - 1) { }
+
+ void tag() const { __tag = s_count; }
+ void untag() const { __tag = s_count - 1; }
+ bool is_tagged() const { return __tag == s_count; }
+ bool tag_once() const { if (__tag == s_count) return false; __tag = s_count; return true; }
+
+ static void tag_begin() { s_count++; }
+ };
+}
diff --git a/extern/carve/include/carve/timing.hpp b/extern/carve/include/carve/timing.hpp
new file mode 100644
index 00000000000..f5051f72d63
--- /dev/null
+++ b/extern/carve/include/carve/timing.hpp
@@ -0,0 +1,96 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#ifndef CARVE_USE_TIMINGS
+#define CARVE_USE_TIMINGS 0
+#endif
+
+namespace carve {
+
+#if CARVE_USE_TIMINGS
+
+ class TimingName {
+ public:
+ TimingName(const char *name);
+ int id;
+ };
+
+ class TimingBlock {
+ public:
+ /**
+ * Starts timing at the end of this constructor, using the given ID. To
+ * associate an ID with a textual name, use Timing::registerID.
+ */
+ TimingBlock(int id);
+ TimingBlock(const TimingName &name);
+ ~TimingBlock();
+ };
+
+ class Timing {
+ public:
+
+ /**
+ * Starts timing against a particular ID.
+ */
+ static void start(int id);
+
+ static void start(const TimingName &id) {
+ start(id.id);
+ }
+
+ /**
+ * Stops the most recent timing block.
+ */
+ static double stop();
+
+ /**
+ * This will print out the current state of recorded time blocks. It will
+ * display the tree of timings, as well as the summaries down the bottom.
+ */
+ static void printTimings();
+
+ /**
+ * Associates a particular ID with a text string. This is used when
+ * printing out the timings.
+ */
+ static void registerID(int id, const char *name);
+
+ };
+
+#else
+
+ struct TimingName {
+ TimingName(const char *) {}
+ };
+ struct TimingBlock {
+ TimingBlock(int /* id */) {}
+ TimingBlock(const TimingName & /* name */) {}
+ };
+ struct Timing {
+ static void start(int /* id */) {}
+ static void start(const TimingName & /* id */) {}
+ static double stop() { return 0; }
+ static void printTimings() {}
+ static void registerID(int /* id */, const char * /* name */) {}
+ };
+
+#endif
+}
diff --git a/extern/carve/include/carve/tree.hpp b/extern/carve/include/carve/tree.hpp
new file mode 100644
index 00000000000..ba1bcc6e3c1
--- /dev/null
+++ b/extern/carve/include/carve/tree.hpp
@@ -0,0 +1,324 @@
+
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/matrix.hpp>
+#include <carve/timing.hpp>
+#include <carve/rescale.hpp>
+
+namespace carve {
+ namespace csg {
+
+ class CSG_TreeNode {
+ CSG_TreeNode(const CSG_TreeNode &);
+ CSG_TreeNode &operator=(const CSG_TreeNode &);
+
+ protected:
+
+ public:
+ CSG_TreeNode() {
+ }
+
+ virtual ~CSG_TreeNode() {
+ }
+
+ virtual carve::mesh::MeshSet<3> *eval(bool &is_temp, CSG &csg) =0;
+
+ virtual carve::mesh::MeshSet<3> *eval(CSG &csg) {
+ bool temp;
+ carve::mesh::MeshSet<3> *r = eval(temp, csg);
+ if (!temp) r = r->clone();
+ return r;
+ }
+ };
+
+
+
+ class CSG_TransformNode : public CSG_TreeNode {
+ carve::math::Matrix transform;
+ CSG_TreeNode *child;
+
+ public:
+ CSG_TransformNode(const carve::math::Matrix &_transform, CSG_TreeNode *_child) : transform(_transform), child(_child) {
+ }
+ virtual ~CSG_TransformNode() {
+ delete child;
+ }
+
+ virtual carve::mesh::MeshSet<3> *eval(bool &is_temp, CSG &csg) {
+ carve::mesh::MeshSet<3> *result = child->eval(is_temp, csg);
+ if (!is_temp) {
+ result = result->clone();
+ is_temp = true;
+ }
+ result->transform(carve::math::matrix_transformation(transform));
+ return result;
+ }
+ };
+
+
+
+
+ class CSG_InvertNode : public CSG_TreeNode {
+ std::vector<bool> selected_meshes;
+ CSG_TreeNode *child;
+
+ public:
+ CSG_InvertNode(CSG_TreeNode *_child) : selected_meshes(), child(_child) {
+ }
+ CSG_InvertNode(int g_id, CSG_TreeNode *_child) : selected_meshes(), child(_child) {
+ selected_meshes.resize(g_id + 1, false);
+ selected_meshes[g_id] = true;
+ }
+ virtual ~CSG_InvertNode() {
+ delete child;
+ }
+
+ template<typename T>
+ CSG_InvertNode(T start, T end, CSG_TreeNode *_child) : selected_meshes(), child(_child) {
+ while (start != end) {
+ int g_id = (int)(*start);
+ if (selected_meshes.size() < g_id + 1) selected_meshes.resize(g_id + 1, false);
+ selected_meshes[g_id] = true;
+ ++start;
+ }
+ }
+
+ virtual carve::mesh::MeshSet<3> *eval(bool &is_temp, CSG &csg) {
+ bool c_temp;
+ carve::mesh::MeshSet<3> *c = child->eval(c_temp, csg);
+ if (!c_temp) c = c->clone();
+ if (!selected_meshes.size()) {
+ c->invert();
+ } else {
+ for (size_t i = 0; i < c->meshes.size() && i < selected_meshes.size(); ++i) {
+ if (selected_meshes[i]) {
+ c->meshes[i]->invert();
+ }
+ }
+ }
+ is_temp = true;
+ return c;
+ }
+ };
+
+
+
+
+ class CSG_SelectNode : public CSG_TreeNode {
+ std::vector<bool> selected_meshes;
+ CSG_TreeNode *child;
+
+ public:
+ CSG_SelectNode(int m_id, CSG_TreeNode *_child) : selected_meshes(), child(_child) {
+ selected_meshes.resize(m_id + 1, false);
+ selected_meshes[m_id] = true;
+ }
+
+ template<typename T>
+ CSG_SelectNode(T start, T end, CSG_TreeNode *_child) : selected_meshes(), child(_child) {
+ while (start != end) {
+ int m_id = (int)(*start);
+ if ((int)selected_meshes.size() < m_id + 1) selected_meshes.resize(m_id + 1, false);
+ selected_meshes[m_id] = true;
+ ++start;
+ }
+ }
+
+ virtual ~CSG_SelectNode() {
+ delete child;
+ }
+
+ virtual carve::mesh::MeshSet<3> *eval(bool &is_temp, CSG &csg) {
+ bool c_temp;
+ carve::mesh::MeshSet<3> *c = child->eval(c_temp, csg);
+ if (!c_temp) c = c->clone();
+ size_t i = 0;
+ size_t j = 0;
+ for (size_t i = 0; i < c->meshes.size(); ++i) {
+ if (i >= selected_meshes.size() || !selected_meshes[i]) {
+ delete c->meshes[i];
+ c->meshes[i] = NULL;
+ } else {
+ c->meshes[j++] = c->meshes[i];
+ }
+ }
+ c->meshes.erase(c->meshes.begin() + j, c->meshes.end());
+ c->collectVertices();
+ is_temp = true;
+ return c;
+ }
+ };
+
+
+
+
+ class CSG_PolyNode : public CSG_TreeNode {
+ carve::mesh::MeshSet<3> *poly;
+ bool del;
+
+ public:
+ CSG_PolyNode(carve::mesh::MeshSet<3> *_poly, bool _del) : poly(_poly), del(_del) {
+ }
+ virtual ~CSG_PolyNode() {
+ static carve::TimingName FUNC_NAME("delete polyhedron");
+ carve::TimingBlock block(FUNC_NAME);
+
+ if (del) {
+ delete poly;
+ }
+ }
+
+ virtual carve::mesh::MeshSet<3> *eval(bool &is_temp, CSG &csg) {
+ is_temp = false;
+ return poly;
+ }
+ };
+
+
+
+ class CSG_OPNode : public CSG_TreeNode {
+ CSG_TreeNode *left, *right;
+ CSG::OP op;
+ bool rescale;
+ CSG::CLASSIFY_TYPE classify_type;
+
+ public:
+ CSG_OPNode(CSG_TreeNode *_left,
+ CSG_TreeNode *_right,
+ CSG::OP _op,
+ bool _rescale,
+ CSG::CLASSIFY_TYPE _classify_type = CSG::CLASSIFY_NORMAL) : left(_left), right(_right), op(_op), rescale(_rescale), classify_type(_classify_type) {
+ }
+
+ virtual ~CSG_OPNode() {
+ delete left;
+ delete right;
+ }
+
+ void minmax(double &min_x, double &min_y, double &min_z,
+ double &max_x, double &max_y, double &max_z,
+ const std::vector<carve::geom3d::Vector> &points) {
+ for (unsigned i = 1; i < points.size(); ++i) {
+ min_x = std::min(min_x, points[i].x);
+ max_x = std::max(max_x, points[i].x);
+ min_y = std::min(min_y, points[i].y);
+ max_y = std::max(max_y, points[i].y);
+ min_z = std::min(min_z, points[i].z);
+ max_z = std::max(max_z, points[i].z);
+ }
+ }
+
+ virtual carve::mesh::MeshSet<3> *evalScaled(bool &is_temp, CSG &csg) {
+ carve::mesh::MeshSet<3> *l, *r;
+ bool l_temp, r_temp;
+
+ l = left->eval(l_temp, csg);
+ r = right->eval(r_temp, csg);
+
+ if (!l_temp) { l = l->clone(); }
+ if (!r_temp) { r = r->clone(); }
+
+ carve::geom3d::Vector min, max;
+ carve::geom3d::Vector min_l, max_l;
+ carve::geom3d::Vector min_r, max_r;
+
+ carve::geom::bounds<3>(l->vertex_storage.begin(),
+ l->vertex_storage.end(),
+ carve::mesh::Face<3>::vector_mapping(),
+ min_l,
+ max_l);
+ carve::geom::bounds<3>(r->vertex_storage.begin(),
+ r->vertex_storage.end(),
+ carve::mesh::Face<3>::vector_mapping(),
+ min_r,
+ max_r);
+
+ carve::geom::assign_op(min, min_l, min_r, carve::util::min_functor());
+ carve::geom::assign_op(max, max_l, max_r, carve::util::max_functor());
+
+ carve::rescale::rescale scaler(min.x, min.y, min.z, max.x, max.y, max.z);
+
+ carve::rescale::fwd fwd_r(scaler);
+ carve::rescale::rev rev_r(scaler);
+
+ l->transform(fwd_r);
+ r->transform(fwd_r);
+
+ carve::mesh::MeshSet<3> *result = NULL;
+ {
+ static carve::TimingName FUNC_NAME("csg.compute()");
+ carve::TimingBlock block(FUNC_NAME);
+ result = csg.compute(l, r, op, NULL, classify_type);
+ }
+
+ {
+ static carve::TimingName FUNC_NAME("delete polyhedron");
+ carve::TimingBlock block(FUNC_NAME);
+
+ delete l;
+ delete r;
+ }
+
+ result->transform(rev_r);
+
+ is_temp = true;
+ return result;
+ }
+
+ virtual carve::mesh::MeshSet<3> *evalUnscaled(bool &is_temp, CSG &csg) {
+ carve::mesh::MeshSet<3> *l, *r;
+ bool l_temp, r_temp;
+
+ l = left->eval(l_temp, csg);
+ r = right->eval(r_temp, csg);
+
+ carve::mesh::MeshSet<3> *result = NULL;
+ {
+ static carve::TimingName FUNC_NAME("csg.compute()");
+ carve::TimingBlock block(FUNC_NAME);
+ result = csg.compute(l, r, op, NULL, classify_type);
+ }
+
+ {
+ static carve::TimingName FUNC_NAME("delete polyhedron");
+ carve::TimingBlock block(FUNC_NAME);
+
+ if (l_temp) delete l;
+ if (r_temp) delete r;
+ }
+
+ is_temp = true;
+ return result;
+ }
+
+
+ virtual carve::mesh::MeshSet<3> *eval(bool &is_temp, CSG &csg) {
+ if (rescale) {
+ return evalScaled(is_temp, csg);
+ } else {
+ return evalUnscaled(is_temp, csg);
+ }
+ }
+ };
+
+ }
+}
diff --git a/extern/carve/include/carve/triangulator.hpp b/extern/carve/include/carve/triangulator.hpp
new file mode 100644
index 00000000000..aa007f98077
--- /dev/null
+++ b/extern/carve/include/carve/triangulator.hpp
@@ -0,0 +1,175 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <list>
+#include <vector>
+#include <algorithm>
+
+#include <carve/carve.hpp>
+
+#include <carve/geom2d.hpp>
+
+namespace carve {
+ namespace triangulate {
+
+ /**
+ * \brief Merge a set of holes into a polygon. (templated)
+ *
+ * Take a polygon loop and a collection of hole loops, and patch
+ * the hole loops into the polygon loop, returning a vector of
+ * vertices from the polygon and holes, which describes a new
+ * polygon boundary with no holes. The new polygon boundary is
+ * constructed via the addition of edges * joining the polygon
+ * loop to the holes.
+ *
+ * This may be applied to arbitrary vertex data (generally
+ * carve::geom3d::Vertex pointers), but a projection function must
+ * be supplied to convert vertices to coordinates in 2-space, in
+ * which the work is performed.
+ *
+ * @tparam project_t A functor which converts vertices to a 2d
+ * projection.
+ * @tparam vert_t The vertex type.
+ * @param project The projection functor.
+ * @param f_loop The polygon loop into which holes are to be
+ * incorporated.
+ * @param h_loops The set of hole loops to be incorporated.
+ *
+ * @return A vector of vertex pointers.
+ */
+ template<typename project_t, typename vert_t>
+ static std::vector<vert_t>
+ incorporateHolesIntoPolygon(const project_t &project,
+ const std::vector<vert_t> &f_loop,
+ const std::vector<std::vector<vert_t> > &h_loops);
+
+ void
+ incorporateHolesIntoPolygon(const std::vector<std::vector<carve::geom2d::P2> > &poly,
+ std::vector<std::pair<size_t, size_t> > &result,
+ size_t poly_loop,
+ const std::vector<size_t> &hole_loops);
+
+ /**
+ * \brief Merge a set of holes into a polygon. (2d)
+ *
+ * Take a polygon loop and a collection of hole loops, and patch
+ * the hole loops into the polygon loop, returning a vector of
+ * containing the vertices from the polygon and holes which
+ * describes a new polygon boundary with no holes, through the
+ * addition of edges joining the polygon loop to the holes.
+ *
+ * @param poly A vector containing the face loop (the first
+ * element of poly) and the hole loops (second and
+ * subsequent elements of poly).
+ *
+ * @return A vector of pairs of <loop_number, index> that
+ * reference poly and define the result polygon loop.
+ */
+ std::vector<std::pair<size_t, size_t> > incorporateHolesIntoPolygon(const std::vector<std::vector<carve::geom2d::P2> > &poly);
+
+ std::vector<std::vector<std::pair<size_t, size_t> > > mergePolygonsAndHoles(const std::vector<std::vector<carve::geom2d::P2> > &poly);
+
+
+ struct tri_idx {
+ union {
+ unsigned v[3];
+ struct { unsigned a, b, c; };
+ };
+
+ tri_idx() : a(0), b(0), c(0) {
+ }
+ tri_idx(unsigned _a, unsigned _b, unsigned _c) : a(_a), b(_b), c(_c) {
+ }
+ };
+
+ /**
+ * \brief Triangulate a 2-dimensional polygon.
+ *
+ * Given a 2-dimensional polygon described as a vector of 2-d
+ * points, with no holes and no self-crossings, produce a
+ * triangulation using an ear-clipping algorithm.
+ *
+ * @param [in] poly A vector containing the input polygon.
+ * @param [out] result A vector of triangles, represented as
+ * indicies into poly.
+ */
+
+
+ void triangulate(const std::vector<carve::geom2d::P2> &poly, std::vector<tri_idx> &result);
+
+ /**
+ * \brief Triangulate a polygon (templated).
+ *
+ * @tparam project_t A functor which converts vertices to a 2d
+ * projection.
+ * @tparam vert_t The vertex type.
+ * @param [in] project The projection functor.
+ * @param [in] poly A vector containing the input polygon,
+ * represented as vert_t pointers.
+ * @param [out] result A vector of triangles, represented as
+ * indicies into poly.
+ */
+ template<typename project_t, typename vert_t>
+ void triangulate(const project_t &project,
+ const std::vector<vert_t> &poly,
+ std::vector<tri_idx> &result);
+
+ /**
+ * \brief Improve a candidate triangulation of poly by minimising
+ * the length of internal edges. (templated)
+ *
+ * @tparam project_t A functor which converts vertices to a 2d
+ * projection.
+ * @tparam vert_t The vertex type.
+ * @param [in] project The projection functor.
+ * @param [in] poly A vector containing the input polygon,
+ * represented as vert_t pointers.
+ * @param [inout] result A vector of triangles, represented as
+ * indicies into poly. On input, this vector
+ * must contain a candidate triangulation of
+ * poly. Calling improve() modifies the
+ * contents of the vector, returning an
+ * improved triangulation.
+ */
+ template<typename project_t, typename vert_t>
+ void improve(const project_t &project,
+ const std::vector<vert_t> &poly,
+ std::vector<tri_idx> &result);
+
+ /**
+ * \brief Improve a candidate triangulation of poly by minimising
+ * the length of internal edges.
+ *
+ * @param [in] poly A vector containing the input polygon.
+
+ * @param [inout] result A vector of triangles, represented as
+ * indicies into poly. On input, this vector
+ * must contain a candidate triangulation of
+ * poly. Calling improve() modifies the
+ * contents of the vector, returning an
+ * improved triangulation.
+ */
+ static inline void improve(const std::vector<carve::geom2d::P2> &poly, std::vector<tri_idx> &result) {
+ improve(carve::geom2d::p2_adapt_ident(), poly, result);
+ }
+
+ }
+}
+
+#include <carve/triangulator_impl.hpp>
diff --git a/extern/carve/include/carve/triangulator_impl.hpp b/extern/carve/include/carve/triangulator_impl.hpp
new file mode 100644
index 00000000000..476438fd248
--- /dev/null
+++ b/extern/carve/include/carve/triangulator_impl.hpp
@@ -0,0 +1,851 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/geom2d.hpp>
+
+#if defined(CARVE_DEBUG)
+# include <iostream>
+#endif
+
+namespace carve {
+ namespace triangulate {
+ namespace detail {
+
+
+
+ static inline bool axisOrdering(const carve::geom2d::P2 &a,
+ const carve::geom2d::P2 &b,
+ int axis) {
+ return a.v[axis] < b.v[axis] || (a.v[axis] == b.v[axis] && a.v[1-axis] < b.v[1-axis]);
+ }
+
+
+
+ /**
+ * \class order_h_loops
+ * \brief Provides an ordering of hole loops based upon a single
+ * projected axis.
+ *
+ * @tparam project_t A functor which converts vertices to a 2d
+ * projection.
+ * @tparam hole_t A collection of vertices.
+ */
+ template<typename project_t, typename vert_t>
+ class order_h_loops {
+ const project_t &project;
+ int axis;
+ public:
+
+ /**
+ *
+ * @param _project The projection functor.
+ * @param _axis The axis of the 2d projection upon which hole
+ * loops are ordered.
+ */
+ order_h_loops(const project_t &_project, int _axis) : project(_project), axis(_axis) { }
+
+ bool operator()(const vert_t &a,
+ const vert_t &b) const {
+ return axisOrdering(project(a), project(b), axis);
+ }
+
+ bool operator()(
+ const std::pair<const typename std::vector<vert_t> *, typename std::vector<vert_t>::const_iterator> &a,
+ const std::pair<const typename std::vector<vert_t> *, typename std::vector<vert_t>::const_iterator> &b) {
+ return axisOrdering(project(*(a.second)), project(*(b.second)), axis);
+ }
+ };
+
+
+
+ /**
+ * \class heap_ordering
+ * \brief Provides an ordering of vertex indicies in a polygon
+ * loop according to proximity to a vertex.
+ *
+ * @tparam project_t A functor which converts vertices to a 2d
+ * projection.
+ * @tparam vert_t A vertex type.
+ */
+ template<typename project_t, typename vert_t>
+ class heap_ordering {
+ const project_t &project;
+ const std::vector<vert_t> &loop;
+ const carve::geom2d::P2 p;
+ int axis;
+
+ public:
+ /**
+ *
+ * @param _project A functor which converts vertices to a 2d
+ * projection.
+ * @param _loop The polygon loop which indices address.
+ * @param _vert The vertex from which distance is measured.
+ *
+ */
+ heap_ordering(const project_t &_project,
+ const std::vector<vert_t> &_loop,
+ vert_t _vert,
+ int _axis) :
+ project(_project),
+ loop(_loop),
+ p(_project(_vert)),
+ axis(_axis) {
+ }
+
+ bool operator()(size_t a, size_t b) const {
+ carve::geom2d::P2 pa = project(loop[a]);
+ carve::geom2d::P2 pb = project(loop[b]);
+ double da = carve::geom::distance2(p, pa);
+ double db = carve::geom::distance2(p, pb);
+ if (da > db) return true;
+ if (da < db) return false;
+ return axisOrdering(pa, pb, axis);
+ }
+ };
+
+
+
+ /**
+ * \brief Given a polygon loop and a hole loop, and attachment
+ * points, insert the hole loop vertices into the polygon loop.
+ *
+ * @param[in,out] f_loop The polygon loop to incorporate the
+ * hole into.
+ * @param f_loop_attach[in] The index of the vertex of the
+ * polygon loop that the hole is to be
+ * attached to.
+ * @param hole_attach[in] A pair consisting of a pointer to a
+ * hole container and an iterator into
+ * that container reflecting the point of
+ * attachment of the hole.
+ */
+ template<typename vert_t>
+ void patchHoleIntoPolygon(std::vector<vert_t> &f_loop,
+ unsigned f_loop_attach,
+ const std::pair<const std::vector<vert_t> *,
+ typename std::vector<vert_t>::const_iterator> &hole_attach) {
+ // join the vertex curr of the polygon loop to the hole at
+ // h_loop_connect
+ f_loop.insert(f_loop.begin() + f_loop_attach + 1, hole_attach.first->size() + 2, NULL);
+ typename std::vector<vert_t>::iterator f = f_loop.begin() + f_loop_attach;
+
+ typename std::vector<vert_t>::const_iterator h = hole_attach.second;
+
+ while (h != hole_attach.first->end()) {
+ *++f = *h++;
+ }
+
+ h = hole_attach.first->begin();
+ typename std::vector<vert_t>::const_iterator he = hole_attach.second; ++he;
+ while (h != he) {
+ *++f = *h++;
+ }
+
+ *++f = f_loop[f_loop_attach];
+ }
+
+
+
+ struct vertex_info;
+
+
+
+ /**
+ * \brief Determine whether c is to the left of a->b.
+ */
+ static inline bool isLeft(const vertex_info *a,
+ const vertex_info *b,
+ const vertex_info *c);
+
+
+
+ /**
+ * \brief Determine whether d is contained in the triangle abc.
+ */
+ static inline bool pointInTriangle(const vertex_info *a,
+ const vertex_info *b,
+ const vertex_info *c,
+ const vertex_info *d);
+
+
+
+ /**
+ * \class vertex_info
+ * \brief Maintains a linked list of untriangulated vertices
+ * during a triangulation operation.
+ */
+
+ struct vertex_info {
+ vertex_info *prev;
+ vertex_info *next;
+ carve::geom2d::P2 p;
+ size_t idx;
+ double score;
+ bool convex;
+ bool failed;
+
+ vertex_info(const carve::geom2d::P2 &_p, size_t _idx) :
+ prev(NULL), next(NULL),
+ p(_p), idx(_idx),
+ score(0.0), convex(false) {
+ }
+
+ static double triScore(const vertex_info *p, const vertex_info *v, const vertex_info *n);
+
+ double calcScore() const;
+
+ void recompute() {
+ score = calcScore();
+ convex = isLeft(prev, this, next);
+ failed = false;
+ }
+
+ bool isCandidate() const {
+ return convex && !failed;
+ }
+
+ void remove() {
+ next->prev = prev;
+ prev->next = next;
+ }
+
+ bool isClipable() const;
+ };
+
+
+
+ static inline bool isLeft(const vertex_info *a,
+ const vertex_info *b,
+ const vertex_info *c) {
+ if (a->idx < b->idx && b->idx < c->idx) {
+ return carve::geom2d::orient2d(a->p, b->p, c->p) > 0.0;
+ } else if (a->idx < c->idx && c->idx < b->idx) {
+ return carve::geom2d::orient2d(a->p, c->p, b->p) < 0.0;
+ } else if (b->idx < a->idx && a->idx < c->idx) {
+ return carve::geom2d::orient2d(b->p, a->p, c->p) < 0.0;
+ } else if (b->idx < c->idx && c->idx < a->idx) {
+ return carve::geom2d::orient2d(b->p, c->p, a->p) > 0.0;
+ } else if (c->idx < a->idx && a->idx < b->idx) {
+ return carve::geom2d::orient2d(c->p, a->p, b->p) > 0.0;
+ } else {
+ return carve::geom2d::orient2d(c->p, b->p, a->p) < 0.0;
+ }
+ }
+
+
+
+ static inline bool pointInTriangle(const vertex_info *a,
+ const vertex_info *b,
+ const vertex_info *c,
+ const vertex_info *d) {
+ return !isLeft(a, c, d) && !isLeft(b, a, d) && !isLeft(c, b, d);
+ }
+
+
+
+ size_t removeDegeneracies(vertex_info *&begin, std::vector<carve::triangulate::tri_idx> &result);
+
+ bool splitAndResume(vertex_info *begin, std::vector<carve::triangulate::tri_idx> &result);
+
+ bool doTriangulate(vertex_info *begin, std::vector<carve::triangulate::tri_idx> &result);
+
+
+
+ typedef std::pair<unsigned, unsigned> vert_edge_t;
+
+
+
+ struct hash_vert_edge_t {
+ size_t operator()(const vert_edge_t &e) const {
+ size_t r = (size_t)e.first;
+ size_t s = (size_t)e.second;
+ return r ^ ((s >> 16) | (s << 16));
+ }
+ };
+
+
+
+ static inline vert_edge_t ordered_vert_edge_t(unsigned a, unsigned b) {
+ return (a < b) ? vert_edge_t(a, b) : vert_edge_t(b, a);
+ }
+
+
+
+ struct tri_pair_t {
+ carve::triangulate::tri_idx *a, *b;
+ double score;
+ size_t idx;
+
+ tri_pair_t() : a(NULL), b(NULL), score(0.0) {
+ }
+
+ static inline unsigned N(unsigned i) { return (i+1)%3; }
+ static inline unsigned P(unsigned i) { return (i+2)%3; }
+
+ void findSharedEdge(unsigned &ai, unsigned &bi) const {
+ if (a->v[1] == b->v[0]) { if (a->v[0] == b->v[1]) { ai = 0; bi = 0; } else { ai = 1; bi = 2; } return; }
+ if (a->v[1] == b->v[1]) { if (a->v[0] == b->v[2]) { ai = 0; bi = 1; } else { ai = 1; bi = 0; } return; }
+ if (a->v[1] == b->v[2]) { if (a->v[0] == b->v[0]) { ai = 0; bi = 2; } else { ai = 1; bi = 1; } return; }
+ if (a->v[2] == b->v[0]) { ai = 2; bi = 2; return; }
+ if (a->v[2] == b->v[1]) { ai = 2; bi = 0; return; }
+ if (a->v[2] == b->v[2]) { ai = 2; bi = 1; return; }
+ CARVE_FAIL("should not be reached");
+ }
+
+ void flip(vert_edge_t &old_edge,
+ vert_edge_t &new_edge,
+ vert_edge_t perim[4]);
+
+ template<typename project_t, typename vert_t, typename distance_calc_t>
+ double calc(const project_t &project,
+ const std::vector<vert_t> &poly,
+ distance_calc_t dist) {
+ unsigned ai, bi;
+ unsigned cross_ai, cross_bi;
+ unsigned ea, eb;
+
+ findSharedEdge(ai, bi);
+
+#if defined(CARVE_DEBUG)
+ if (carve::geom2d::signedArea(project(poly[a->v[0]]), project(poly[a->v[1]]), project(poly[a->v[2]])) > 0.0 ||
+ carve::geom2d::signedArea(project(poly[b->v[0]]), project(poly[b->v[1]]), project(poly[b->v[2]])) > 0.0) {
+ std::cerr << "warning: triangle pair " << this << " contains triangles with incorrect orientation" << std::endl;
+ }
+#endif
+
+ cross_ai = P(ai);
+ cross_bi = P(bi);
+
+ ea = a->v[cross_ai];
+ eb = b->v[cross_bi];
+
+ double side_1 = carve::geom2d::orient2d(project(poly[ea]), project(poly[eb]), project(poly[a->v[ai]]));
+ double side_2 = carve::geom2d::orient2d(project(poly[ea]), project(poly[eb]), project(poly[a->v[N(ai)]]));
+
+ bool can_flip = (side_1 < 0.0 && side_2 > 0.0) || (side_1 > 0.0 && side_2 < 0.0);
+
+ if (!can_flip) {
+ score = -1;
+ } else {
+ score =
+ dist(poly[a->v[ai]], poly[b->v[bi]]) -
+ dist(poly[a->v[cross_ai]], poly[b->v[cross_bi]]);
+ }
+ return score;
+ }
+
+ template<typename project_t, typename vert_t, typename distance_calc_t>
+ double edgeLen(const project_t &project,
+ const std::vector<vert_t> &poly,
+ distance_calc_t dist) const {
+ unsigned ai, bi;
+ findSharedEdge(ai, bi);
+ return dist(poly[a->v[ai]], poly[b->v[bi]]);
+ }
+ };
+
+
+
+ struct max_score {
+ bool operator()(const tri_pair_t *a, const tri_pair_t *b) const { return a->score < b->score; }
+ };
+
+
+
+ struct tri_pairs_t {
+ typedef std::unordered_map<vert_edge_t, tri_pair_t *, hash_vert_edge_t> storage_t;
+ storage_t storage;
+
+ tri_pairs_t() : storage() {
+ };
+
+ ~tri_pairs_t() {
+ for (storage_t::iterator i = storage.begin(); i != storage.end(); ++i) {
+ if ((*i).second) delete (*i).second;
+ }
+ }
+
+ void insert(unsigned a, unsigned b, carve::triangulate::tri_idx *t);
+
+ template<typename project_t, typename vert_t, typename distance_calc_t>
+ void updateEdge(tri_pair_t *tp,
+ const project_t &project,
+ const std::vector<vert_t> &poly,
+ distance_calc_t dist,
+ std::vector<tri_pair_t *> &edges,
+ size_t &n) {
+ double old_score = tp->score;
+ double new_score = tp->calc(project, poly, dist);
+#if defined(CARVE_DEBUG)
+ std::cerr << "tp:" << tp << " old_score: " << old_score << " new_score: " << new_score << std::endl;
+#endif
+ if (new_score > 0.0 && old_score <= 0.0) {
+ tp->idx = n;
+ edges[n++] = tp;
+ } else if (new_score <= 0.0 && old_score > 0.0) {
+ std::swap(edges[tp->idx], edges[--n]);
+ edges[tp->idx]->idx = tp->idx;
+ }
+ }
+
+ tri_pair_t *get(vert_edge_t &e) {
+ storage_t::iterator i;
+ i = storage.find(e);
+ if (i == storage.end()) return NULL;
+ return (*i).second;
+ }
+
+ template<typename project_t, typename vert_t, typename distance_calc_t>
+ void flip(const project_t &project,
+ const std::vector<vert_t> &poly,
+ distance_calc_t dist,
+ std::vector<tri_pair_t *> &edges,
+ size_t &n) {
+ vert_edge_t old_e, new_e;
+ vert_edge_t perim[4];
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "improvable edges: " << n << std::endl;
+#endif
+
+ tri_pair_t *tp = *std::max_element(edges.begin(), edges.begin() + n, max_score());
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "improving tri-pair: " << tp << " with score: " << tp->score << std::endl;
+#endif
+
+ tp->flip(old_e, new_e, perim);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "old_e: " << old_e.first << "," << old_e.second << " -> new_e: " << new_e.first << "," << new_e.second << std::endl;
+#endif
+
+ CARVE_ASSERT(storage.find(old_e) != storage.end());
+ storage.erase(old_e);
+ storage[new_e] = tp;
+
+ std::swap(edges[tp->idx], edges[--n]);
+ edges[tp->idx]->idx = tp->idx;
+
+ tri_pair_t *tp2;
+
+ tp2 = get(perim[0]);
+ if (tp2 != NULL) {
+ updateEdge(tp2, project, poly, dist, edges, n);
+ }
+
+ tp2 = get(perim[1]);
+ if (tp2 != NULL) {
+ CARVE_ASSERT(tp2->a == tp->b || tp2->b == tp->b);
+ if (tp2->a == tp->b) { tp2->a = tp->a; } else { tp2->b = tp->a; }
+ updateEdge(tp2, project, poly, dist, edges, n);
+ }
+
+ tp2 = get(perim[2]);
+ if (tp2 != NULL) {
+ updateEdge(tp2, project, poly, dist, edges, n);
+ }
+
+ tp2 = get(perim[3]);
+ if (tp2 != NULL) {
+ CARVE_ASSERT(tp2->a == tp->a || tp2->b == tp->a);
+ if (tp2->a == tp->a) { tp2->a = tp->b; } else { tp2->b = tp->b; }
+ updateEdge(tp2, project, poly, dist, edges, n);
+ }
+ }
+
+ template<typename project_t, typename vert_t, typename distance_calc_t>
+ size_t getInternalEdges(const project_t &project,
+ const std::vector<vert_t> &poly,
+ distance_calc_t dist,
+ std::vector<tri_pair_t *> &edges) {
+ size_t count = 0;
+
+ for (storage_t::iterator i = storage.begin(); i != storage.end();) {
+ tri_pair_t *tp = (*i).second;
+ if (tp->a && tp->b) {
+ tp->calc(project, poly, dist);
+ count++;
+#if defined(CARVE_DEBUG)
+ std::cerr << "internal edge: " << (*i).first.first << "," << (*i).first.second << " -> " << tp << " " << tp->score << std::endl;
+#endif
+ ++i;
+ } else {
+ delete (*i).second;
+ storage.erase(i++);
+ }
+ }
+
+ edges.resize(count);
+
+ size_t fwd = 0;
+ size_t rev = count;
+ for (storage_t::iterator i = storage.begin(); i != storage.end(); ++i) {
+ tri_pair_t *tp = (*i).second;
+ if (tp && tp->a && tp->b) {
+ if (tp->score > 0.0) {
+ edges[fwd++] = tp;
+ } else {
+ edges[--rev] = tp;
+ }
+ }
+ }
+
+ CARVE_ASSERT(fwd == rev);
+
+ return fwd;
+ }
+ };
+
+
+
+ template<typename project_t, typename vert_t>
+ static bool
+ testCandidateAttachment(const project_t &project,
+ std::vector<vert_t> &current_f_loop,
+ size_t curr,
+ carve::geom2d::P2 hole_min) {
+ const size_t SZ = current_f_loop.size();
+
+ size_t prev, next;
+
+ if (curr == 0) {
+ prev = SZ - 1; next = 1;
+ } else if (curr == SZ - 1) {
+ prev = curr - 1; next = 0;
+ } else {
+ prev = curr - 1; next = curr + 1;
+ }
+
+ if (!carve::geom2d::internalToAngle(project(current_f_loop[next]),
+ project(current_f_loop[curr]),
+ project(current_f_loop[prev]),
+ hole_min)) {
+ return false;
+ }
+
+ if (hole_min == project(current_f_loop[curr])) {
+ return true;
+ }
+
+ carve::geom2d::LineSegment2 test(hole_min, project(current_f_loop[curr]));
+
+ size_t v1 = current_f_loop.size() - 1;
+ size_t v2 = 0;
+ double v1_side = carve::geom2d::orient2d(test.v1, test.v2, project(current_f_loop[v1]));
+ double v2_side = 0;
+
+ while (v2 != current_f_loop.size()) {
+ v2_side = carve::geom2d::orient2d(test.v1, test.v2, project(current_f_loop[v2]));
+
+ if (v1_side != v2_side) {
+ // XXX: need to test vertices, not indices, because they may
+ // be duplicated.
+ if (project(current_f_loop[v1]) != project(current_f_loop[curr]) &&
+ project(current_f_loop[v2]) != project(current_f_loop[curr])) {
+ carve::geom2d::LineSegment2 test2(project(current_f_loop[v1]), project(current_f_loop[v2]));
+ if (carve::geom2d::lineSegmentIntersection_simple(test, test2)) {
+ // intersection; failed.
+ return false;
+ }
+ }
+ }
+
+ v1 = v2;
+ v1_side = v2_side;
+ ++v2;
+ }
+ return true;
+ }
+
+
+
+ }
+
+
+
+ template<typename project_t, typename vert_t>
+ static std::vector<vert_t>
+ incorporateHolesIntoPolygon(const project_t &project,
+ const std::vector<vert_t> &f_loop,
+ const std::vector<std::vector<vert_t> > &h_loops) {
+ typedef std::vector<vert_t> hole_t;
+ typedef typename std::vector<vert_t>::const_iterator vert_iter;
+ typedef typename std::vector<std::vector<vert_t> >::const_iterator hole_iter;
+
+ size_t N = f_loop.size();
+
+ // work out how much space to reserve for the patched in holes.
+ for (hole_iter i = h_loops.begin(); i != h_loops.end(); ++i) {
+ N += 2 + (*i).size();
+ }
+
+ // this is the vector that we will build the result in.
+ std::vector<vert_t> current_f_loop;
+ current_f_loop.reserve(N);
+
+ std::vector<size_t> f_loop_heap;
+ f_loop_heap.reserve(N);
+
+ for (unsigned i = 0; i < f_loop.size(); ++i) {
+ current_f_loop.push_back(f_loop[i]);
+ }
+
+ std::vector<std::pair<const std::vector<vert_t> *, vert_iter> > h_loop_min_vertex;
+
+ h_loop_min_vertex.reserve(h_loops.size());
+
+ // find the major axis for the holes - this is the axis that we
+ // will sort on for finding vertices on the polygon to join
+ // holes up to.
+ //
+ // it might also be nice to also look for whether it is better
+ // to sort ascending or descending.
+ //
+ // another trick that could be used is to modify the projection
+ // by 90 degree rotations or flipping about an axis. just as
+ // long as we keep the carve::geom3d::Vector pointers for the
+ // real data in sync, everything should be ok. then we wouldn't
+ // need to accomodate axes or sort order in the main loop.
+
+ // find the bounding box of all the holes.
+ bool first = true;
+ double min_x, min_y, max_x, max_y;
+ for (hole_iter i = h_loops.begin(); i != h_loops.end(); ++i) {
+ const hole_t &hole(*i);
+ for (vert_iter j = hole.begin(); j != hole.end(); ++j) {
+ carve::geom2d::P2 curr = project(*j);
+ if (first) {
+ min_x = max_x = curr.x;
+ min_y = max_y = curr.y;
+ first = false;
+ } else {
+ min_x = std::min(min_x, curr.x);
+ min_y = std::min(min_y, curr.y);
+ max_x = std::max(max_x, curr.x);
+ max_y = std::max(max_y, curr.y);
+ }
+ }
+ }
+
+ // choose the axis for which the bbox is largest.
+ int axis = (max_x - min_x) > (max_y - min_y) ? 0 : 1;
+
+ // for each hole, find the minimum vertex in the chosen axis.
+ for (hole_iter i = h_loops.begin(); i != h_loops.end(); ++i) {
+ const hole_t &hole = *i;
+ vert_iter best_i = std::min_element(hole.begin(), hole.end(), detail::order_h_loops<project_t, vert_t>(project, axis));
+ h_loop_min_vertex.push_back(std::make_pair(&hole, best_i));
+ }
+
+ // sort the holes by the minimum vertex.
+ std::sort(h_loop_min_vertex.begin(), h_loop_min_vertex.end(), detail::order_h_loops<project_t, vert_t>(project, axis));
+
+ // now, for each hole, find a vertex in the current polygon loop that it can be joined to.
+ for (unsigned i = 0; i < h_loop_min_vertex.size(); ++i) {
+ const size_t N_f_loop = current_f_loop.size();
+
+ // the index of the vertex in the hole to connect.
+ vert_iter h_loop_connect = h_loop_min_vertex[i].second;
+
+ carve::geom2d::P2 hole_min = project(*h_loop_connect);
+
+ f_loop_heap.clear();
+ // we order polygon loop vertices that may be able to be connected
+ // to the hole vertex by their distance to the hole vertex
+ detail::heap_ordering<project_t, vert_t> _heap_ordering(project, current_f_loop, *h_loop_connect, axis);
+
+ for (size_t j = 0; j < N_f_loop; ++j) {
+ // it is guaranteed that there exists a polygon vertex with
+ // coord < the min hole coord chosen, which can be joined to
+ // the min hole coord without crossing the polygon
+ // boundary. also, because we merge holes in ascending
+ // order, it is also true that this join can never cross
+ // another hole (and that doesn't need to be tested for).
+ if (project(current_f_loop[j]).v[axis] <= hole_min.v[axis]) {
+ f_loop_heap.push_back(j);
+ std::push_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
+ }
+ }
+
+ // we are going to test each potential (according to the
+ // previous test) polygon vertex as a candidate join. we order
+ // by closeness to the hole vertex, so that the join we make
+ // is as small as possible. to test, we need to check the
+ // joining line segment does not cross any other line segment
+ // in the current polygon loop (excluding those that have the
+ // vertex that we are attempting to join with as an endpoint).
+ size_t attachment_point = current_f_loop.size();
+
+ while (f_loop_heap.size()) {
+ std::pop_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
+ size_t curr = f_loop_heap.back();
+ f_loop_heap.pop_back();
+ // test the candidate join from current_f_loop[curr] to hole_min
+
+ if (!detail::testCandidateAttachment(project, current_f_loop, curr, hole_min)) {
+ continue;
+ }
+
+ attachment_point = curr;
+ break;
+ }
+
+ if (attachment_point == current_f_loop.size()) {
+ CARVE_FAIL("didn't manage to link up hole!");
+ }
+
+ detail::patchHoleIntoPolygon(current_f_loop, attachment_point, h_loop_min_vertex[i]);
+ }
+
+ return current_f_loop;
+ }
+
+
+
+ template<typename project_t, typename vert_t>
+ void triangulate(const project_t &project,
+ const std::vector<vert_t> &poly,
+ std::vector<tri_idx> &result) {
+ std::vector<detail::vertex_info *> vinfo;
+ const size_t N = poly.size();
+
+ result.clear();
+ if (N < 3) {
+ return;
+ }
+
+ result.reserve(poly.size() - 2);
+
+ if (N == 3) {
+ result.push_back(tri_idx(0, 1, 2));
+ return;
+ }
+
+ vinfo.resize(N);
+
+ vinfo[0] = new detail::vertex_info(project(poly[0]), 0);
+ for (size_t i = 1; i < N-1; ++i) {
+ vinfo[i] = new detail::vertex_info(project(poly[i]), i);
+ vinfo[i]->prev = vinfo[i-1];
+ vinfo[i-1]->next = vinfo[i];
+ }
+ vinfo[N-1] = new detail::vertex_info(project(poly[N-1]), N-1);
+ vinfo[N-1]->prev = vinfo[N-2];
+ vinfo[N-1]->next = vinfo[0];
+ vinfo[0]->prev = vinfo[N-1];
+ vinfo[N-2]->next = vinfo[N-1];
+
+ for (size_t i = 0; i < N; ++i) {
+ vinfo[i]->recompute();
+ }
+
+ detail::vertex_info *begin = vinfo[0];
+
+ removeDegeneracies(begin, result);
+ doTriangulate(begin, result);
+ }
+
+
+
+ template<typename project_t, typename vert_t, typename distance_calc_t>
+ void improve(const project_t &project,
+ const std::vector<vert_t> &poly,
+ distance_calc_t dist,
+ std::vector<tri_idx> &result) {
+ detail::tri_pairs_t tri_pairs;
+
+#if defined(CARVE_DEBUG)
+ bool warn = false;
+ for (size_t i = 0; i < result.size(); ++i) {
+ tri_idx &t = result[i];
+ if (carve::geom2d::signedArea(project(poly[t.a]), project(poly[t.b]), project(poly[t.c])) > 0) {
+ warn = true;
+ }
+ }
+ if (warn) {
+ std::cerr << "carve::triangulate::improve(): Some triangles are incorrectly oriented. Results may be incorrect." << std::endl;
+ }
+#endif
+
+ for (size_t i = 0; i < result.size(); ++i) {
+ tri_idx &t = result[i];
+ tri_pairs.insert(t.a, t.b, &t);
+ tri_pairs.insert(t.b, t.c, &t);
+ tri_pairs.insert(t.c, t.a, &t);
+ }
+
+ std::vector<detail::tri_pair_t *> edges;
+ size_t n = tri_pairs.getInternalEdges(project, poly, dist, edges);
+ for (size_t i = 0; i < n; ++i) {
+ edges[i]->idx = i;
+ }
+
+ // procedure:
+ // while a tri pair with a positive score exists:
+ // p = pair with highest positive score
+ // flip p, rewriting its two referenced triangles.
+ // negate p's score
+ // for each q in the up-to-four adjoining tri pairs:
+ // update q's tri ptr, if changed, and its score.
+
+#if defined(CARVE_DEBUG)
+ double initial_score = 0;
+ for (size_t i = 0; i < edges.size(); ++i) {
+ initial_score += edges[i]->edgeLen(project, poly, dist);
+ }
+ std::cerr << "initial score: " << initial_score << std::endl;
+#endif
+
+ while (n) {
+ tri_pairs.flip(project, poly, dist, edges, n);
+ }
+
+#if defined(CARVE_DEBUG)
+ double final_score = 0;
+ for (size_t i = 0; i < edges.size(); ++i) {
+ final_score += edges[i]->edgeLen(project, poly, dist);
+ }
+ std::cerr << "final score: " << final_score << std::endl;
+#endif
+
+#if defined(CARVE_DEBUG)
+ if (!warn) {
+ for (size_t i = 0; i < result.size(); ++i) {
+ tri_idx &t = result[i];
+ CARVE_ASSERT (carve::geom2d::signedArea(project(poly[t.a]), project(poly[t.b]), project(poly[t.c])) <= 0.0);
+ }
+ }
+#endif
+ }
+
+
+
+ template<typename project_t, typename vert_t>
+ void improve(const project_t &project,
+ const std::vector<vert_t> &poly,
+ std::vector<tri_idx> &result) {
+ improve(project, poly, carve::geom::distance_functor(), result);
+ }
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/util.hpp b/extern/carve/include/carve/util.hpp
new file mode 100644
index 00000000000..dc33f5b64ce
--- /dev/null
+++ b/extern/carve/include/carve/util.hpp
@@ -0,0 +1,31 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+namespace carve {
+ namespace util {
+ struct min_functor {
+ template<typename T>
+ const T &operator()(const T &a, const T &b) const { return std::min(a, b); }
+ };
+ struct max_functor {
+ template<typename T>
+ const T &operator()(const T &a, const T &b) const { return std::max(a, b); }
+ };
+ }
+}
diff --git a/extern/carve/include/carve/vcpp_config.h b/extern/carve/include/carve/vcpp_config.h
new file mode 100644
index 00000000000..5ebd4006159
--- /dev/null
+++ b/extern/carve/include/carve/vcpp_config.h
@@ -0,0 +1,17 @@
+/* include/carve/config.h. Generated from config.h.in by configure. */
+#pragma once
+
+#include <math.h>
+
+/* Define if using boost collections. Preferred, because the visual C++ unordered collections are slow and memory hungry. */
+#define HAVE_BOOST_UNORDERED_COLLECTIONS
+
+#if defined(_MSC_VER)
+# pragma warning(disable:4201)
+#endif
+
+#include <math.h>
+
+static inline double round(double value) {
+ return (value >= 0) ? floor(value + 0.5) : ceil(value - 0.5);
+}
diff --git a/extern/carve/include/carve/vector.hpp b/extern/carve/include/carve/vector.hpp
new file mode 100644
index 00000000000..6753ddb85d4
--- /dev/null
+++ b/extern/carve/include/carve/vector.hpp
@@ -0,0 +1,163 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/math_constants.hpp>
+#include <carve/geom.hpp>
+#include <carve/geom3d.hpp>
+
+#include <sstream>
+#include <algorithm>
+
+#include <math.h>
+
+namespace carve {
+ namespace geom3d {
+
+ struct hash_vector_ptr {
+ size_t operator()(const Vector * const &v) const {
+ return (size_t)v;
+ }
+ size_t operator()(const std::pair<const Vector *, const Vector *> &v) const {
+ size_t r = (size_t)v.first;
+ size_t s = (size_t)v.second;
+ return r ^ ((s >> 16) | (s << 16));
+ }
+ };
+
+
+
+ struct vec_adapt_ident {
+ const Vector &operator()(const Vector &v) const { return v; }
+ Vector &operator()(Vector &v) const { return v; }
+ };
+
+
+
+ struct vec_adapt_ptr {
+ const Vector &operator()(const Vector * const &v) const { return *v; }
+ Vector &operator()(Vector *&v) const { return *v; }
+ };
+
+
+
+ struct vec_adapt_pair_first {
+ template<typename pair_t> const Vector &operator()(const pair_t &v) const { return v.first; }
+ template<typename pair_t> Vector &operator()(pair_t &v) const { return v.first; }
+ };
+
+
+
+ struct vec_adapt_pair_second {
+ template<typename pair_t> const Vector &operator()(const pair_t &v) const { return v.second; }
+ template<typename pair_t> Vector &operator()(pair_t &v) const { return v.second; }
+ };
+
+
+
+ template<typename adapt_t>
+ struct vec_cmp_lt_x {
+ adapt_t adapt;
+ vec_cmp_lt_x(adapt_t _adapt = adapt_t()) : adapt(_adapt) {}
+ template<typename input_t> bool operator()(const input_t &a, const input_t &b) const { return adapt(a).x < adapt(b).x; }
+ };
+ template<typename adapt_t> vec_cmp_lt_x<adapt_t> vec_lt_x(adapt_t &adapt) { return vec_cmp_lt_x<adapt_t>(adapt); }
+
+
+
+ template<typename adapt_t>
+ struct vec_cmp_lt_y {
+ adapt_t adapt;
+ vec_cmp_lt_y(adapt_t _adapt = adapt_t()) : adapt(_adapt) {}
+ template<typename input_t> bool operator()(const input_t &a, const input_t &b) const { return adapt(a).y < adapt(b).y; }
+ };
+ template<typename adapt_t> vec_cmp_lt_y<adapt_t> vec_lt_y(adapt_t &adapt) { return vec_cmp_lt_y<adapt_t>(adapt); }
+
+
+
+ template<typename adapt_t>
+ struct vec_cmp_lt_z {
+ adapt_t adapt;
+ vec_cmp_lt_z(adapt_t _adapt = adapt_t()) : adapt(_adapt) {}
+ template<typename input_t> bool operator()(const input_t &a, const input_t &b) const { return adapt(a).z < adapt(b).z; }
+ };
+ template<typename adapt_t> vec_cmp_lt_z<adapt_t> vec_lt_z(adapt_t &adapt) { return vec_cmp_lt_z<adapt_t>(adapt); }
+
+
+
+ template<typename adapt_t>
+ struct vec_cmp_gt_x {
+ adapt_t adapt;
+ vec_cmp_gt_x(adapt_t _adapt = adapt_t()) : adapt(_adapt) {}
+ template<typename input_t> bool operator()(const input_t &a, const input_t &b) const { return adapt(a).x > adapt(b).x; }
+ };
+ template<typename adapt_t> vec_cmp_gt_x<adapt_t> vec_gt_x(adapt_t &adapt) { return vec_cmp_gt_x<adapt_t>(adapt); }
+
+
+
+ template<typename adapt_t>
+ struct vec_cmp_gt_y {
+ adapt_t adapt;
+ vec_cmp_gt_y(adapt_t _adapt = adapt_t()) : adapt(_adapt) {}
+ template<typename input_t> bool operator()(const input_t &a, const input_t &b) const { return adapt(a).y > adapt(b).y; }
+ };
+ template<typename adapt_t> vec_cmp_gt_y<adapt_t> vec_gt_y(adapt_t &adapt) { return vec_cmp_gt_y<adapt_t>(adapt); }
+
+
+
+ template<typename adapt_t>
+ struct vec_cmp_gt_z {
+ adapt_t adapt;
+ vec_cmp_gt_z(adapt_t _adapt = adapt_t()) : adapt(_adapt) {}
+ template<typename input_t> bool operator()(const input_t &a, const input_t &b) const { return adapt(a).z > adapt(b).z; }
+ };
+ template<typename adapt_t> vec_cmp_gt_z<adapt_t> vec_gt_z(adapt_t &adapt) { return vec_cmp_gt_z<adapt_t>(adapt); }
+
+
+
+ template<typename iter_t, typename adapt_t>
+ void sortInDirectionOfRay(const Vector &ray_dir, iter_t begin, iter_t end, adapt_t adapt) {
+ switch (carve::geom::largestAxis(ray_dir)) {
+ case 0:
+ if (ray_dir.x > 0) {
+ std::sort(begin, end, vec_lt_x(adapt));
+ } else {
+ std::sort(begin, end, vec_gt_x(adapt));
+ }
+ break;
+ case 1:
+ if (ray_dir.y > 0) {
+ std::sort(begin, end, vec_lt_y(adapt));
+ } else {
+ std::sort(begin, end, vec_gt_y(adapt));
+ }
+ break;
+ case 2:
+ if (ray_dir.z > 0) {
+ std::sort(begin, end, vec_lt_z(adapt));
+ } else {
+ std::sort(begin, end, vec_gt_z(adapt));
+ }
+ break;
+ }
+ }
+
+ }
+}
diff --git a/extern/carve/include/carve/vertex_decl.hpp b/extern/carve/include/carve/vertex_decl.hpp
new file mode 100644
index 00000000000..62c76473020
--- /dev/null
+++ b/extern/carve/include/carve/vertex_decl.hpp
@@ -0,0 +1,111 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/geom2d.hpp>
+#include <carve/vector.hpp>
+#include <carve/matrix.hpp>
+#include <carve/geom3d.hpp>
+#include <carve/aabb.hpp>
+#include <carve/tag.hpp>
+
+#include <vector>
+#include <list>
+#include <map>
+
+namespace carve {
+ namespace poly {
+
+
+
+ struct Object;
+
+
+
+ template<unsigned ndim>
+ class Vertex : public tagable {
+ public:
+ typedef carve::geom::vector<ndim> vector_t;
+ typedef Object obj_t;
+
+ vector_t v;
+ obj_t *owner;
+
+ Vertex() : tagable(), v() {
+ }
+
+ ~Vertex() {
+ }
+
+ Vertex(const vector_t &_v) : tagable(), v(_v) {
+ }
+ };
+
+
+
+ struct hash_vertex_ptr {
+ template<unsigned ndim>
+ size_t operator()(const Vertex<ndim> * const &v) const {
+ return (size_t)v;
+ }
+
+ template<unsigned ndim>
+ size_t operator()(const std::pair<const Vertex<ndim> *, const Vertex<ndim> *> &v) const {
+ size_t r = (size_t)v.first;
+ size_t s = (size_t)v.second;
+ return r ^ ((s >> 16) | (s << 16));
+ }
+
+ };
+
+
+
+ template<unsigned ndim>
+ double distance(const Vertex<ndim> *v1, const Vertex<ndim> *v2) {
+ return distance(v1->v, v2->v);
+ }
+
+ template<unsigned ndim>
+ double distance(const Vertex<ndim> &v1, const Vertex<ndim> &v2) {
+ return distance(v1.v, v2.v);
+ }
+
+ struct vec_adapt_vertex_ref {
+ template<unsigned ndim>
+ const typename Vertex<ndim>::vector_t &operator()(const Vertex<ndim> &v) const { return v.v; }
+
+ template<unsigned ndim>
+ typename Vertex<ndim>::vector_t &operator()(Vertex<ndim> &v) const { return v.v; }
+ };
+
+
+
+ struct vec_adapt_vertex_ptr {
+ template<unsigned ndim>
+ const typename Vertex<ndim>::vector_t &operator()(const Vertex<ndim> *v) const { return v->v; }
+
+ template<unsigned ndim>
+ typename Vertex<ndim>::vector_t &operator()(Vertex<ndim> *v) const { return v->v; }
+ };
+
+
+
+ }
+}
diff --git a/extern/carve/include/carve/vertex_impl.hpp b/extern/carve/include/carve/vertex_impl.hpp
new file mode 100644
index 00000000000..7e1803ae89c
--- /dev/null
+++ b/extern/carve/include/carve/vertex_impl.hpp
@@ -0,0 +1,24 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+namespace carve {
+ namespace poly {
+
+ }
+}
diff --git a/extern/carve/include/carve/win32.h b/extern/carve/include/carve/win32.h
new file mode 100755
index 00000000000..b73c9535f52
--- /dev/null
+++ b/extern/carve/include/carve/win32.h
@@ -0,0 +1,53 @@
+// Copyright 2006 Tobias Sargeant (toby@permuted.net)
+// All rights reserved.
+#pragma once
+
+#pragma warning (disable : 4996)
+#pragma warning (disable : 4786)
+
+#include <string.h>
+#include <stdlib.h>
+
+inline int strcasecmp(const char *a, const char *b) {
+ return _stricmp(a,b);
+}
+
+inline void srandom(unsigned long input) {
+ srand(input);
+}
+
+inline long random() {
+ return rand();
+}
+
+#if defined(_MSC_VER)
+# include <carve/cbrt.h>
+
+#if _MSC_VER < 1300
+// intptr_t is an integer type that is big enough to hold a pointer
+// It is not defined in VC6 so include a definition here for the older compiler
+typedef long intptr_t;
+typedef unsigned long uintptr_t;
+#endif
+
+# if _MSC_VER < 1600
+// stdint.h is not available before VS2010
+#if defined(_WIN32) && !defined(__MINGW32__)
+/* The __intXX are built-in types of the visual complier! So we don't
+ need to include anything else here.
+ This typedefs should be in sync with types from MEM_sys_types.h */
+
+typedef signed __int8 int8_t;
+typedef signed __int16 int16_t;
+typedef signed __int32 int32_t;
+
+typedef unsigned __int8 uint8_t;
+typedef unsigned __int16 uint16_t;
+typedef unsigned __int32 uint32_t;
+#endif
+typedef __int64 int64_t;
+typedef unsigned __int64 uint64_t;
+# else
+# include <stdint.h>
+# endif
+#endif
diff --git a/extern/carve/lib/aabb.cpp b/extern/carve/lib/aabb.cpp
new file mode 100644
index 00000000000..188929a8cfa
--- /dev/null
+++ b/extern/carve/lib/aabb.cpp
@@ -0,0 +1,29 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/aabb.hpp>
+#include <carve/geom3d.hpp>
+
+namespace carve {
+ namespace geom3d {
+ }
+}
+
diff --git a/extern/carve/lib/carve.cpp b/extern/carve/lib/carve.cpp
new file mode 100644
index 00000000000..9af2d0408fb
--- /dev/null
+++ b/extern/carve/lib/carve.cpp
@@ -0,0 +1,29 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/carve.hpp>
+
+#define DEF_EPSILON 1.4901161193847656e-08
+
+namespace carve {
+ double EPSILON = DEF_EPSILON;
+ double EPSILON2 = DEF_EPSILON * DEF_EPSILON;
+}
diff --git a/extern/carve/lib/convex_hull.cpp b/extern/carve/lib/convex_hull.cpp
new file mode 100644
index 00000000000..616d8cbe561
--- /dev/null
+++ b/extern/carve/lib/convex_hull.cpp
@@ -0,0 +1,100 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/convex_hull.hpp>
+
+#include <algorithm>
+
+namespace {
+
+ bool grahamScan(const std::vector<carve::geom2d::P2> &points,
+ int vpp, int vp,
+ const std::vector<int> &ordered,
+ int start,
+ std::vector<int> &result, int _i = 0) {
+ carve::geom2d::P2 v1 = points[vp] - points[vpp];
+ if (start == (int)ordered.size()) return true;
+
+ for (int i = start; i < (int)ordered.size(); ++i) {
+ int v = ordered[i];
+ carve::geom2d::P2 v2 = points[v] - points[vp];
+
+ double cp = v1.x * v2.y - v2.x * v1.y;
+ if (cp < 0) return false;
+
+ int j = i + 1;
+ while (j < (int)ordered.size() && points[ordered[j]] == points[v]) j++;
+
+ result.push_back(v);
+ if (grahamScan(points, vp, v, ordered, j, result, _i + 1)) return true;
+ result.pop_back();
+ }
+
+ return false;
+ }
+
+}
+
+namespace carve {
+ namespace geom {
+
+ std::vector<int> convexHull(const std::vector<carve::geom2d::P2> &points) {
+ double max_x = points[0].x;
+ unsigned max_v = 0;
+
+ for (unsigned i = 1; i < points.size(); ++i) {
+ if (points[i].x > max_x) {
+ max_x = points[i].x;
+ max_v = i;
+ }
+ }
+
+ std::vector<std::pair<double, double> > angle_dist;
+ std::vector<int> ordered;
+ angle_dist.reserve(points.size());
+ ordered.reserve(points.size() - 1);
+ for (unsigned i = 0; i < points.size(); ++i) {
+ if (i == max_v) continue;
+ angle_dist[i] = std::make_pair(carve::math::ANG(carve::geom2d::atan2(points[i] - points[max_v])), distance2(points[i], points[max_v]));
+ ordered.push_back(i);
+ }
+
+ std::sort(ordered.begin(),
+ ordered.end(),
+ make_index_sort(angle_dist.begin()));
+
+ std::vector<int> result;
+ result.push_back(max_v);
+ result.push_back(ordered[0]);
+
+ if (!grahamScan(points, max_v, ordered[0], ordered, 1, result)) {
+ result.clear();
+ throw carve::exception("convex hull failed!");
+ }
+
+ return result;
+ }
+
+ }
+}
+
+
diff --git a/extern/carve/lib/csg.cpp b/extern/carve/lib/csg.cpp
new file mode 100644
index 00000000000..3d3dfb8bf75
--- /dev/null
+++ b/extern/carve/lib/csg.cpp
@@ -0,0 +1,93 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include "csg_detail.hpp"
+
+
+const char *carve::csg::ENUM(carve::csg::FaceClass f) {
+ if (f == FACE_ON_ORIENT_OUT) return "FACE_ON_ORIENT_OUT";
+ if (f == FACE_OUT) return "FACE_OUT";
+ if (f == FACE_IN) return "FACE_IN";
+ if (f == FACE_ON_ORIENT_IN) return "FACE_ON_ORIENT_IN";
+ return "???";
+}
+
+
+
+const char *carve::csg::ENUM(carve::PointClass p) {
+ if (p == POINT_UNK) return "POINT_UNK";
+ if (p == POINT_OUT) return "POINT_OUT";
+ if (p == POINT_ON) return "POINT_ON";
+ if (p == POINT_IN) return "POINT_IN";
+ if (p == POINT_VERTEX) return "POINT_VERTEX";
+ if (p == POINT_EDGE) return "POINT_EDGE";
+ return "???";
+}
+
+
+
+void carve::csg::detail::LoopEdges::addFaceLoop(FaceLoop *fl) {
+ carve::mesh::MeshSet<3>::vertex_t *v1, *v2;
+ v1 = fl->vertices[fl->vertices.size() - 1];
+ for (unsigned j = 0; j < fl->vertices.size(); ++j) {
+ v2 = fl->vertices[j];
+ (*this)[std::make_pair(v1, v2)].push_back(fl);
+ v1 = v2;
+ }
+}
+
+
+
+void carve::csg::detail::LoopEdges::sortFaceLoopLists() {
+ for (super::iterator i = begin(), e = end(); i != e; ++i) {
+ (*i).second.sort();
+ }
+}
+
+
+
+void carve::csg::detail::LoopEdges::removeFaceLoop(FaceLoop *fl) {
+ carve::mesh::MeshSet<3>::vertex_t *v1, *v2;
+ v1 = fl->vertices[fl->vertices.size() - 1];
+ for (unsigned j = 0; j < fl->vertices.size(); ++j) {
+ v2 = fl->vertices[j];
+ iterator l(find(std::make_pair(v1, v2)));
+ if (l != end()) {
+ (*l).second.remove(fl);
+ if (!(*l).second.size()) {
+ erase(l);
+ }
+ }
+ v1 = v2;
+ }
+}
+
+
+
+carve::csg::FaceClass carve::csg::FaceLoopGroup::classificationAgainst(const carve::mesh::MeshSet<3>::mesh_t *mesh) const {
+ for (std::list<ClassificationInfo>::const_iterator i = classification.begin(); i != classification.end(); ++i) {
+ if ((*i).intersected_mesh == mesh) {
+ return (*i).classification;
+ }
+ }
+ return FACE_UNCLASSIFIED;
+}
diff --git a/extern/carve/lib/csg_collector.cpp b/extern/carve/lib/csg_collector.cpp
new file mode 100644
index 00000000000..6e86b128b51
--- /dev/null
+++ b/extern/carve/lib/csg_collector.cpp
@@ -0,0 +1,371 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <iostream>
+#include "intersect_debug.hpp"
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+void writePLY(const std::string &out_file, const carve::mesh::MeshSet<3> *poly, bool ascii);
+#endif
+
+
+namespace carve {
+ namespace csg {
+ namespace {
+
+ class BaseCollector : public CSG::Collector {
+ BaseCollector();
+ BaseCollector(const BaseCollector &);
+ BaseCollector &operator=(const BaseCollector &);
+
+ protected:
+ struct face_data_t {
+ carve::mesh::MeshSet<3>::face_t *face;
+ const carve::mesh::MeshSet<3>::face_t *orig_face;
+ bool flipped;
+ face_data_t(carve::mesh::MeshSet<3>::face_t *_face,
+ const carve::mesh::MeshSet<3>::face_t *_orig_face,
+ bool _flipped) : face(_face), orig_face(_orig_face), flipped(_flipped) {
+ };
+ };
+
+ std::list<face_data_t> faces;
+
+ const carve::mesh::MeshSet<3> *src_a;
+ const carve::mesh::MeshSet<3> *src_b;
+
+ BaseCollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : CSG::Collector(), src_a(_src_a), src_b(_src_b) {
+ }
+
+ virtual ~BaseCollector() {
+ }
+
+ void FWD(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector /* normal */,
+ bool /* poly_a */,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ std::vector<carve::mesh::MeshSet<3>::face_t *> new_faces;
+ new_faces.reserve(1);
+ new_faces.push_back(orig_face->create(vertices.begin(), vertices.end(), false));
+ hooks.processOutputFace(new_faces, orig_face, false);
+ for (size_t i = 0; i < new_faces.size(); ++i) {
+ faces.push_back(face_data_t(new_faces[i], orig_face, false));
+ }
+
+#if defined(CARVE_DEBUG) && defined(DEBUG_PRINT_RESULT_FACES)
+ std::cerr << "+" << ENUM(face_class) << " ";
+ for (unsigned i = 0; i < vertices.size(); ++i) std::cerr << " " << vertices[i] << ":" << *vertices[i];
+ std::cerr << std::endl;
+#endif
+ }
+
+ void REV(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector /* normal */,
+ bool /* poly_a */,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ // normal = -normal;
+ std::vector<carve::mesh::MeshSet<3>::face_t *> new_faces;
+ new_faces.reserve(1);
+ new_faces.push_back(orig_face->create(vertices.begin(), vertices.end(), true));
+ hooks.processOutputFace(new_faces, orig_face, true);
+ for (size_t i = 0; i < new_faces.size(); ++i) {
+ faces.push_back(face_data_t(new_faces[i], orig_face, true));
+ }
+
+#if defined(CARVE_DEBUG) && defined(DEBUG_PRINT_RESULT_FACES)
+ std::cerr << "-" << ENUM(face_class) << " ";
+ for (unsigned i = 0; i < vertices.size(); ++i) std::cerr << " " << vertices[i] << ":" << *vertices[i];
+ std::cerr << std::endl;
+#endif
+ }
+
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) =0;
+
+ virtual void collect(FaceLoopGroup *grp, CSG::Hooks &hooks) {
+ std::list<ClassificationInfo> &cinfo = (grp->classification);
+
+ if (cinfo.size() == 0) {
+ std::cerr << "WARNING! group " << grp << " has no classification info!" << std::endl;
+ return;
+ }
+
+ FaceClass fc = FACE_UNCLASSIFIED;
+
+ unsigned fc_closed_bits = 0;
+ unsigned fc_open_bits = 0;
+ unsigned fc_bits = 0;
+
+ for (std::list<ClassificationInfo>::const_iterator i = grp->classification.begin(), e = grp->classification.end(); i != e; ++i) {
+
+ if ((*i).intersected_mesh == NULL) {
+ // classifier only returns global info
+ fc_closed_bits = class_to_class_bit((*i).classification);
+ break;
+ }
+
+ if ((*i).classification == FACE_UNCLASSIFIED) continue;
+ if ((*i).intersectedMeshIsClosed()) {
+ fc_closed_bits |= class_to_class_bit((*i).classification);
+ } else {
+ fc_open_bits |= class_to_class_bit((*i).classification);
+ }
+ }
+
+ if (fc_closed_bits) {
+ fc_bits = fc_closed_bits;
+ } else {
+ fc_bits = fc_open_bits;
+ }
+
+ fc = class_bit_to_class(fc_bits);
+
+ // handle the complex cases where a group is classified differently with respect to two or more closed manifolds.
+ if (fc == FACE_UNCLASSIFIED) {
+ unsigned inout_bits = fc_bits & FACE_NOT_ON_BIT;
+ unsigned on_bits = fc_bits & FACE_ON_BIT;
+
+ // both in and out. indicates an invalid manifold embedding.
+ if (inout_bits == (FACE_IN_BIT | FACE_OUT_BIT)) goto out;
+
+ // on, both orientations. could be caused by two manifolds touching at a face.
+ if (on_bits == (FACE_ON_ORIENT_IN_BIT | FACE_ON_ORIENT_OUT_BIT)) goto out;
+
+ // in or out, but also on (with orientation). the on classification takes precedence.
+ fc = class_bit_to_class(on_bits);
+ }
+
+ out:
+
+ if (fc == FACE_UNCLASSIFIED) {
+ std::cerr << "group " << grp << " is unclassified!" << std::endl;
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ static int uc_count = 0;
+
+ std::vector<carve::mesh::MeshSet<3>::face_t *> faces;
+
+ for (FaceLoop *f = grp->face_loops.head; f; f = f->next) {
+ carve::mesh::MeshSet<3>::face_t *temp = f->orig_face->create(f->vertices.begin(), f->vertices.end(), false);
+ faces.push_back(temp);
+ }
+
+ carve::mesh::MeshSet<3> *p = new carve::mesh::MeshSet<3>(faces);
+
+ std::ostringstream filename;
+ filename << "classifier_fail_" << ++uc_count << ".ply";
+ std::string out(filename.str().c_str());
+ ::writePLY(out, p, false);
+
+ delete p;
+#endif
+
+ return;
+ }
+
+ bool is_poly_a = grp->src == src_a;
+
+ for (FaceLoop *f = grp->face_loops.head; f; f = f->next) {
+ collect(f->orig_face, f->vertices, f->orig_face->plane.N, is_poly_a, fc, hooks);
+ }
+ }
+
+ virtual carve::mesh::MeshSet<3> *done(CSG::Hooks &hooks) {
+ std::vector<carve::mesh::MeshSet<3>::face_t *> f;
+ f.reserve(faces.size());
+ for (std::list<face_data_t>::iterator i = faces.begin(); i != faces.end(); ++i) {
+ f.push_back((*i).face);
+ }
+
+ carve::mesh::MeshSet<3> *p = new carve::mesh::MeshSet<3>(f);
+
+ if (hooks.hasHook(carve::csg::CSG::Hooks::RESULT_FACE_HOOK)) {
+ for (std::list<face_data_t>::iterator i = faces.begin(); i != faces.end(); ++i) {
+ hooks.resultFace((*i).face, (*i).orig_face, (*i).flipped);
+ }
+ }
+
+ return p;
+ }
+ };
+
+
+
+ class AllCollector : public BaseCollector {
+ public:
+ AllCollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : BaseCollector(_src_a, _src_b) {
+ }
+ virtual ~AllCollector() {
+ }
+ virtual void collect(FaceLoopGroup *grp, CSG::Hooks &hooks) {
+ for (FaceLoop *f = grp->face_loops.head; f; f = f->next) {
+ FWD(f->orig_face, f->vertices, f->orig_face->plane.N, f->orig_face->mesh->meshset == src_a, FACE_OUT, hooks);
+ }
+ }
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ FWD(orig_face, vertices, normal, poly_a, face_class, hooks);
+ }
+ };
+
+
+
+ class UnionCollector : public BaseCollector {
+ public:
+ UnionCollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : BaseCollector(_src_a, _src_b) {
+ }
+ virtual ~UnionCollector() {
+ }
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ if (face_class == FACE_OUT || (poly_a && face_class == FACE_ON_ORIENT_OUT)) {
+ FWD(orig_face, vertices, normal, poly_a, face_class, hooks);
+ }
+ }
+ };
+
+
+
+ class IntersectionCollector : public BaseCollector {
+ public:
+ IntersectionCollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : BaseCollector(_src_a, _src_b) {
+ }
+ virtual ~IntersectionCollector() {
+ }
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ if (face_class == FACE_IN || (poly_a && face_class == FACE_ON_ORIENT_OUT)) {
+ FWD(orig_face, vertices, normal, poly_a, face_class, hooks);
+ }
+ }
+ };
+
+
+
+ class SymmetricDifferenceCollector : public BaseCollector {
+ public:
+ SymmetricDifferenceCollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : BaseCollector(_src_a, _src_b) {
+ }
+ virtual ~SymmetricDifferenceCollector() {
+ }
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ if (face_class == FACE_OUT) {
+ FWD(orig_face, vertices, normal, poly_a, face_class, hooks);
+ } else if (face_class == FACE_IN) {
+ REV(orig_face, vertices, normal, poly_a, face_class, hooks);
+ }
+ }
+ };
+
+
+
+ class AMinusBCollector : public BaseCollector {
+ public:
+ AMinusBCollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : BaseCollector(_src_a, _src_b) {
+ }
+ virtual ~AMinusBCollector() {
+ }
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ if ((face_class == FACE_OUT || face_class == FACE_ON_ORIENT_IN) && poly_a) {
+ FWD(orig_face, vertices, normal, poly_a, face_class, hooks);
+ } else if (face_class == FACE_IN && !poly_a) {
+ REV(orig_face, vertices, normal, poly_a, face_class, hooks);
+ }
+ }
+ };
+
+
+
+ class BMinusACollector : public BaseCollector {
+ public:
+ BMinusACollector(const carve::mesh::MeshSet<3> *_src_a,
+ const carve::mesh::MeshSet<3> *_src_b) : BaseCollector(_src_a, _src_b) {
+ }
+ virtual ~BMinusACollector() {
+ }
+ virtual void collect(const carve::mesh::MeshSet<3>::face_t *orig_face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &vertices,
+ carve::geom3d::Vector normal,
+ bool poly_a,
+ FaceClass face_class,
+ CSG::Hooks &hooks) {
+ if ((face_class == FACE_OUT || face_class == FACE_ON_ORIENT_IN) && !poly_a) {
+ FWD(orig_face, vertices, normal, poly_a, face_class, hooks);
+ } else if (face_class == FACE_IN && poly_a) {
+ REV(orig_face, vertices, normal, poly_a, face_class, hooks);
+ }
+ }
+ };
+
+ }
+
+ CSG::Collector *makeCollector(CSG::OP op,
+ const carve::mesh::MeshSet<3> *poly_a,
+ const carve::mesh::MeshSet<3> *poly_b) {
+ switch (op) {
+ case CSG::UNION: return new UnionCollector(poly_a, poly_b);
+ case CSG::INTERSECTION: return new IntersectionCollector(poly_a, poly_b);
+ case CSG::A_MINUS_B: return new AMinusBCollector(poly_a, poly_b);
+ case CSG::B_MINUS_A: return new BMinusACollector(poly_a, poly_b);
+ case CSG::SYMMETRIC_DIFFERENCE: return new SymmetricDifferenceCollector(poly_a, poly_b);
+ case CSG::ALL: return new AllCollector(poly_a, poly_b);
+ }
+ return NULL;
+ }
+ }
+}
diff --git a/extern/carve/lib/csg_collector.hpp b/extern/carve/lib/csg_collector.hpp
new file mode 100644
index 00000000000..c68d3f3aa42
--- /dev/null
+++ b/extern/carve/lib/csg_collector.hpp
@@ -0,0 +1,24 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+namespace carve {
+ namespace csg {
+ CSG::Collector *makeCollector(CSG::OP op,
+ const carve::mesh::MeshSet<3> *poly_a,
+ const carve::mesh::MeshSet<3> *poly_b);
+ }
+}
diff --git a/extern/carve/lib/csg_data.hpp b/extern/carve/lib/csg_data.hpp
new file mode 100644
index 00000000000..085d05ce8d5
--- /dev/null
+++ b/extern/carve/lib/csg_data.hpp
@@ -0,0 +1,52 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/csg.hpp>
+
+#include "csg_detail.hpp"
+
+struct carve::csg::detail::Data {
+// * @param[out] vmap A mapping from vertex pointer to intersection point.
+// * @param[out] emap A mapping from edge pointer to intersection points.
+// * @param[out] fmap A mapping from face pointer to intersection points.
+// * @param[out] fmap_rev A mapping from intersection points to face pointers.
+ // map from intersected vertex to intersection point.
+ VVMap vmap;
+
+ // map from intersected edge to intersection points.
+ EVSMap emap;
+
+ // map from intersected face to intersection points.
+ FVSMap fmap;
+
+ // map from intersection point to intersected faces.
+ VFSMap fmap_rev;
+
+ // created by divideEdges().
+ // holds, for each edge, a
+ EVVMap divided_edges;
+
+ // created by faceSplitEdges.
+ FV2SMap face_split_edges;
+
+ // mapping from vertex to edge for potentially intersected
+ // faces. Saves building the vertex to edge map for all faces of
+ // both meshes.
+ VEVecMap vert_to_edges;
+};
diff --git a/extern/carve/lib/csg_detail.hpp b/extern/carve/lib/csg_detail.hpp
new file mode 100644
index 00000000000..4b8fca3d2d2
--- /dev/null
+++ b/extern/carve/lib/csg_detail.hpp
@@ -0,0 +1,71 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include <carve/carve.hpp>
+
+#include <carve/polyhedron_base.hpp>
+
+namespace carve {
+ namespace csg {
+ namespace detail {
+
+ typedef std::unordered_set<carve::mesh::MeshSet<3>::vertex_t *> VSet;
+ typedef std::unordered_set<carve::mesh::MeshSet<3>::face_t *> FSet;
+
+ typedef std::set<carve::mesh::MeshSet<3>::vertex_t *> VSetSmall;
+ typedef std::set<csg::V2> V2SetSmall;
+ typedef std::set<carve::mesh::MeshSet<3>::face_t *> FSetSmall;
+
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::vertex_t *, VSetSmall> VVSMap;
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::edge_t *, VSetSmall> EVSMap;
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::face_t *, VSetSmall> FVSMap;
+
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::vertex_t *, FSetSmall> VFSMap;
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::face_t *, V2SetSmall> FV2SMap;
+
+ typedef std::unordered_map<
+ carve::mesh::MeshSet<3>::edge_t *,
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> > EVVMap;
+
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::vertex_t *,
+ std::vector<carve::mesh::MeshSet<3>::edge_t *> > VEVecMap;
+
+
+ class LoopEdges : public std::unordered_map<V2, std::list<FaceLoop *> > {
+ typedef std::unordered_map<V2, std::list<FaceLoop *> > super;
+
+ public:
+ void addFaceLoop(FaceLoop *fl);
+ void sortFaceLoopLists();
+ void removeFaceLoop(FaceLoop *fl);
+ };
+
+ }
+ }
+}
+
+
+
+static inline std::ostream &operator<<(std::ostream &o, const carve::csg::detail::FSet &s) {
+ const char *sep="";
+ for (carve::csg::detail::FSet::const_iterator i = s.begin(); i != s.end(); ++i) {
+ o << sep << *i; sep=",";
+ }
+ return o;
+}
diff --git a/extern/carve/lib/edge.cpp b/extern/carve/lib/edge.cpp
new file mode 100644
index 00000000000..4414e6496f3
--- /dev/null
+++ b/extern/carve/lib/edge.cpp
@@ -0,0 +1,23 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/poly.hpp>
+
diff --git a/extern/carve/lib/face.cpp b/extern/carve/lib/face.cpp
new file mode 100644
index 00000000000..c0718923cbb
--- /dev/null
+++ b/extern/carve/lib/face.cpp
@@ -0,0 +1,278 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/poly.hpp>
+
+double CALC_X(const carve::geom::plane<3> &p, double y, double z) { return -(p.d + p.N.y * y + p.N.z * z) / p.N.x; }
+double CALC_Y(const carve::geom::plane<3> &p, double x, double z) { return -(p.d + p.N.x * x + p.N.z * z) / p.N.y; }
+double CALC_Z(const carve::geom::plane<3> &p, double x, double y) { return -(p.d + p.N.x * x + p.N.y * y) / p.N.z; }
+
+namespace carve {
+ namespace poly {
+
+ carve::geom2d::P2 _project_1(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.z, v.y);
+ }
+
+ carve::geom2d::P2 _project_2(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.x, v.z);
+ }
+
+ carve::geom2d::P2 _project_3(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.y, v.x);
+ }
+
+ carve::geom2d::P2 _project_4(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.y, v.z);
+ }
+
+ carve::geom2d::P2 _project_5(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.z, v.x);
+ }
+
+ carve::geom2d::P2 _project_6(const carve::geom3d::Vector &v) {
+ return carve::geom::VECTOR(v.x, v.y);
+ }
+
+
+ carve::geom3d::Vector _unproject_1(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(CALC_X(plane_eqn, p.y, p.x), p.y, p.x);
+ }
+
+ carve::geom3d::Vector _unproject_2(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.x, CALC_Y(plane_eqn, p.x, p.y), p.y);
+ }
+
+ carve::geom3d::Vector _unproject_3(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.y, p.x, CALC_Z(plane_eqn, p.y, p.x));
+ }
+
+ carve::geom3d::Vector _unproject_4(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(CALC_X(plane_eqn, p.x, p.y), p.x, p.y);
+ }
+
+ carve::geom3d::Vector _unproject_5(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.y, CALC_Y(plane_eqn, p.y, p.x), p.x);
+ }
+
+ carve::geom3d::Vector _unproject_6(const carve::geom2d::P2 &p, const carve::geom3d::Plane &plane_eqn) {
+ return carve::geom::VECTOR(p.x, p.y, CALC_Z(plane_eqn, p.x, p.y));
+ }
+
+ static carve::geom2d::P2 (*project_tab[2][3])(const carve::geom3d::Vector &) = {
+ { &_project_1, &_project_2, &_project_3 },
+ { &_project_4, &_project_5, &_project_6 }
+ };
+
+ static carve::geom3d::Vector (*unproject_tab[2][3])(const carve::geom2d::P2 &, const carve::geom3d::Plane &) = {
+ { &_unproject_1, &_unproject_2, &_unproject_3 },
+ { &_unproject_4, &_unproject_5, &_unproject_6 }
+ };
+
+ // only implemented for 3d.
+ template<unsigned ndim>
+ typename Face<ndim>::project_t Face<ndim>::getProjector(bool positive_facing, int axis) {
+ return NULL;
+ }
+
+ template<>
+ Face<3>::project_t Face<3>::getProjector(bool positive_facing, int axis) {
+ return project_tab[positive_facing ? 1 : 0][axis];
+ }
+
+ template<unsigned ndim>
+ typename Face<ndim>::unproject_t Face<ndim>::getUnprojector(bool positive_facing, int axis) {
+ return NULL;
+ }
+
+ template<>
+ Face<3>::unproject_t Face<3>::getUnprojector(bool positive_facing, int axis) {
+ return unproject_tab[positive_facing ? 1 : 0][axis];
+ }
+
+
+
+ template<unsigned ndim>
+ Face<ndim>::Face(const std::vector<const vertex_t *> &_vertices,
+ bool delay_recalc) : tagable() {
+ vertices = _vertices;
+ edges.resize(nVertices(), NULL);
+ if (!delay_recalc && !recalc()) { }
+ }
+
+ template<unsigned ndim>
+ Face<ndim>::Face(const vertex_t *a,
+ const vertex_t *b,
+ const vertex_t *c,
+ bool delay_recalc) : tagable() {
+ vertices.reserve(3);
+ vertices.push_back(a);
+ vertices.push_back(b);
+ vertices.push_back(c);
+ edges.resize(3, NULL);
+ if (!delay_recalc && !recalc()) { }
+ }
+
+ template<unsigned ndim>
+ Face<ndim>::Face(const vertex_t *a,
+ const vertex_t *b,
+ const vertex_t *c,
+ const vertex_t *d,
+ bool delay_recalc) : tagable() {
+ vertices.reserve(4);
+ vertices.push_back(a);
+ vertices.push_back(b);
+ vertices.push_back(c);
+ vertices.push_back(d);
+ edges.resize(4, NULL);
+ if (!delay_recalc && !recalc()) { }
+ }
+
+ template<unsigned ndim>
+ void Face<ndim>::invert() {
+ size_t n_verts = vertices.size();
+ std::reverse(vertices.begin(), vertices.end());
+
+ if (project != NULL) {
+ plane_eqn.negate();
+
+ int da = carve::geom::largestAxis(plane_eqn.N);
+
+ project = getProjector(plane_eqn.N.v[da] > 0, da);
+ unproject = getUnprojector(plane_eqn.N.v[da] > 0, da);
+ }
+
+ std::reverse(edges.begin(), edges.end() - 1);
+ for (size_t i = 0; i < n_verts; i++) {
+ const vertex_t *v1 = vertices[i];
+ const vertex_t *v2 = vertices[(i+1) % n_verts];
+ CARVE_ASSERT((edges[i]->v1 == v1 && edges[i]->v2 == v2) || (edges[i]->v1 == v2 && edges[i]->v2 == v1));
+ }
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::recalc() {
+ aabb.fit(vertices.begin(), vertices.end(), vec_adapt_vertex_ptr());
+
+ if (!carve::geom3d::fitPlane(vertices.begin(), vertices.end(), vec_adapt_vertex_ptr(), plane_eqn)) {
+ return false;
+ }
+
+ int da = carve::geom::largestAxis(plane_eqn.N);
+ project = getProjector(false, da);
+
+ double A = carve::geom2d::signedArea(vertices, projector());
+ if ((A < 0.0) ^ (plane_eqn.N.v[da] < 0.0)) {
+ plane_eqn.negate();
+ }
+
+ project = getProjector(plane_eqn.N.v[da] > 0, da);
+ unproject = getUnprojector(plane_eqn.N.v[da] > 0, da);
+
+ return true;
+ }
+
+ template<unsigned ndim>
+ Face<ndim> *Face<ndim>::init(const Face *base, const std::vector<const vertex_t *> &_vertices, bool flipped) {
+ return init(base, _vertices.begin(), _vertices.end(), flipped);
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::containsPoint(const vector_t &p) const {
+ if (!carve::math::ZERO(carve::geom::distance(plane_eqn, p))) return false;
+ // return pointInPolySimple(vertices, projector(), (this->*project)(p));
+ return carve::geom2d::pointInPoly(vertices, projector(), face::project(this, p)).iclass != POINT_OUT;
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::containsPointInProjection(const vector_t &p) const {
+ return carve::geom2d::pointInPoly(vertices, projector(), face::project(this, p)).iclass != POINT_OUT;
+ }
+
+ template<unsigned ndim>
+ bool Face<ndim>::simpleLineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const {
+ if (!line.OK()) return false;
+
+ carve::geom3d::Vector p;
+ IntersectionClass intersects = carve::geom3d::lineSegmentPlaneIntersection(plane_eqn,
+ line,
+ p);
+ if (intersects == INTERSECT_NONE || intersects == INTERSECT_BAD) {
+ return false;
+ }
+
+ carve::geom2d::P2 proj_p(face::project(this, p));
+ if (carve::geom2d::pointInPolySimple(vertices, projector(), proj_p)) {
+ intersection = p;
+ return true;
+ }
+ return false;
+ }
+
+ // XXX: should try to return a pre-existing vertex in the case of a
+ // line-vertex intersection. as it stands, this code isn't used,
+ // so... meh.
+ template<unsigned ndim>
+ IntersectionClass Face<ndim>::lineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const {
+ if (!line.OK()) return INTERSECT_NONE;
+
+
+ carve::geom3d::Vector p;
+ IntersectionClass intersects = carve::geom3d::lineSegmentPlaneIntersection(plane_eqn,
+ line,
+ p);
+ if (intersects == INTERSECT_NONE || intersects == INTERSECT_BAD) {
+ return intersects;
+ }
+
+ carve::geom2d::P2 proj_p(face::project(this, p));
+
+ carve::geom2d::PolyInclusionInfo pi = carve::geom2d::pointInPoly(vertices, projector(), proj_p);
+ switch (pi.iclass) {
+ case POINT_VERTEX:
+ intersection = p;
+ return INTERSECT_VERTEX;
+
+ case POINT_EDGE:
+ intersection = p;
+ return INTERSECT_EDGE;
+
+ case POINT_IN:
+ intersection = p;
+ return INTERSECT_FACE;
+
+ case POINT_OUT:
+ return INTERSECT_NONE;
+
+ default:
+ break;
+ }
+ return INTERSECT_NONE;
+ }
+
+
+ }
+}
+
+// explicit instantiations.
+template class carve::poly::Face<3>;
diff --git a/extern/carve/lib/geom2d.cpp b/extern/carve/lib/geom2d.cpp
new file mode 100644
index 00000000000..bfa84f5fd24
--- /dev/null
+++ b/extern/carve/lib/geom2d.cpp
@@ -0,0 +1,260 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/geom2d.hpp>
+#include <carve/math.hpp>
+#include <carve/aabb.hpp>
+
+#include <algorithm>
+#include <iostream>
+
+namespace carve {
+ namespace geom2d {
+
+ bool lineSegmentIntersection_simple(const P2 &l1v1, const P2 &l1v2,
+ const P2 &l2v1, const P2 &l2v2) {
+ geom::aabb<2> l1_aabb, l2_aabb;
+ l1_aabb.fit(l1v1, l1v2);
+ l2_aabb.fit(l2v1, l2v2);
+
+ if (l1_aabb.maxAxisSeparation(l2_aabb) > 0.0) {
+ return false;
+ }
+
+ double l1v1_side = orient2d(l2v1, l2v2, l1v1);
+ double l1v2_side = orient2d(l2v1, l2v2, l1v2);
+
+ double l2v1_side = orient2d(l1v1, l1v2, l2v1);
+ double l2v2_side = orient2d(l1v1, l1v2, l2v2);
+
+ if (l1v1_side * l1v2_side > 0.0 || l2v1_side * l2v2_side > 0.0) {
+ return false;
+ }
+
+ return true;
+ }
+
+ bool lineSegmentIntersection_simple(const LineSegment2 &l1,
+ const LineSegment2 &l2) {
+ return lineSegmentIntersection_simple(l1.v1, l1.v2, l2.v1, l2.v2);
+ }
+
+ LineIntersectionInfo lineSegmentIntersection(const P2 &l1v1, const P2 &l1v2,
+ const P2 &l2v1, const P2 &l2v2) {
+ geom::aabb<2> l1_aabb, l2_aabb;
+ l1_aabb.fit(l1v1, l1v2);
+ l2_aabb.fit(l2v1, l2v2);
+
+ if (l1_aabb.maxAxisSeparation(l2_aabb) > EPSILON) {
+ return LineIntersectionInfo(NO_INTERSECTION);
+ }
+
+ if (carve::geom::equal(l1v1, l1v2) || carve::geom::equal(l2v1, l2v2)) {
+ throw carve::exception("zero length line in intersection test");
+ }
+
+ double dx13 = l1v1.x - l2v1.x;
+ double dy13 = l1v1.y - l2v1.y;
+ double dx43 = l2v2.x - l2v1.x;
+ double dy43 = l2v2.y - l2v1.y;
+ double dx21 = l1v2.x - l1v1.x;
+ double dy21 = l1v2.y - l1v1.y;
+ double ua_n = dx43 * dy13 - dy43 * dx13;
+ double ub_n = dx21 * dy13 - dy21 * dx13;
+ double u_d = dy43 * dx21 - dx43 * dy21;
+
+ if (carve::math::ZERO(u_d)) {
+ if (carve::math::ZERO(ua_n)) {
+ if (carve::geom::equal(l1v2, l2v1)) {
+ return LineIntersectionInfo(INTERSECTION_PP, l1v2, 1, 2);
+ }
+ if (carve::geom::equal(l1v1, l2v2)) {
+ return LineIntersectionInfo(INTERSECTION_PP, l1v1, 0, 4);
+ }
+ if (l1v2.x > l2v1.x && l1v1.x < l2v2.x) {
+ return LineIntersectionInfo(COLINEAR);
+ }
+ }
+ return LineIntersectionInfo(NO_INTERSECTION);
+ }
+
+ double ua = ua_n / u_d;
+ double ub = ub_n / u_d;
+
+ if (-EPSILON <= ua && ua <= 1.0 + EPSILON && -EPSILON <= ub && ub <= 1.0 + EPSILON) {
+ double x = l1v1.x + ua * (l1v2.x - l1v1.x);
+ double y = l1v1.y + ua * (l1v2.y - l1v1.y);
+
+ P2 p = carve::geom::VECTOR(x, y);
+
+ double d1 = distance2(p, l1v1);
+ double d2 = distance2(p, l1v2);
+ double d3 = distance2(p, l2v1);
+ double d4 = distance2(p, l2v2);
+
+ int n = -1;
+
+ if (std::min(d1, d2) < EPSILON2) {
+ if (d1 < d2) {
+ p = l1v1; n = 0;
+ } else {
+ p = l1v2; n = 1;
+ }
+ if (std::min(d3, d4) < EPSILON2) {
+ if (d3 < d4) {
+ return LineIntersectionInfo(INTERSECTION_PP, p, n, 2);
+ } else {
+ return LineIntersectionInfo(INTERSECTION_PP, p, n, 3);
+ }
+ } else {
+ return LineIntersectionInfo(INTERSECTION_PL, p, n, -1);
+ }
+ } else if (std::min(d3, d4) < EPSILON2) {
+ if (d3 < d4) {
+ return LineIntersectionInfo(INTERSECTION_LP, l2v1, -1, 2);
+ } else {
+ return LineIntersectionInfo(INTERSECTION_LP, l2v2, -1, 3);
+ }
+ } else {
+ return LineIntersectionInfo(INTERSECTION_LL, p, -1, -1);
+ }
+ }
+ return LineIntersectionInfo(NO_INTERSECTION);
+ }
+
+ LineIntersectionInfo lineSegmentIntersection(const LineSegment2 &l1,
+ const LineSegment2 &l2) {
+ return lineSegmentIntersection(l1.v1, l1.v2, l2.v1, l2.v2);
+ }
+
+ double signedArea(const P2Vector &points) {
+ return signedArea(points, p2_adapt_ident());
+ }
+
+ bool pointInPolySimple(const P2Vector &points, const P2 &p) {
+ return pointInPolySimple(points, p2_adapt_ident(), p);
+ }
+
+ PolyInclusionInfo pointInPoly(const P2Vector &points, const P2 &p) {
+ return pointInPoly(points, p2_adapt_ident(), p);
+ }
+
+ int lineSegmentPolyIntersections(const P2Vector &points,
+ LineSegment2 line,
+ std::vector<PolyIntersectionInfo> &out) {
+ int count = 0;
+
+ if (line.v2 < line.v1) { line.flip(); }
+ out.clear();
+
+ for (P2Vector::size_type i = 0, l = points.size(); i < l; i++) {
+ P2Vector::size_type j = (i + 1) % l;
+ LineIntersectionInfo e =
+ lineSegmentIntersection(LineSegment2(points[i], points[j]), line);
+
+ switch (e.iclass) {
+ case INTERSECTION_PL: {
+ out.push_back(PolyIntersectionInfo(INTERSECT_EDGE, e.ipoint, i));
+ count++;
+ break;
+ }
+ case INTERSECTION_PP: {
+ out.push_back(PolyIntersectionInfo(INTERSECT_VERTEX, e.ipoint, i + e.p2 - 2));
+ count++;
+ break;
+ }
+ case INTERSECTION_LP: {
+ out.push_back(PolyIntersectionInfo(INTERSECT_VERTEX, e.ipoint, i + e.p2 - 2));
+ count++;
+ break;
+ }
+ case INTERSECTION_LL: {
+ out.push_back(PolyIntersectionInfo(INTERSECT_EDGE, e.ipoint, i));
+ count++;
+ break;
+ }
+ case COLINEAR: {
+ int n1 = (int)i, n2 = (int)j;
+ P2 q1 = points[i], q2 = points[j];
+
+ if (q2 < q1) { std::swap(q1, q2); std::swap(n1, n2); }
+
+ if (equal(q1, line.v1)) {
+ out.push_back(PolyIntersectionInfo(INTERSECT_VERTEX, q1, n1));
+ } else if (q1.x < line.v1.x) {
+ out.push_back(PolyIntersectionInfo(INTERSECT_EDGE, line.v1, i));
+ } else {
+ out.push_back(PolyIntersectionInfo(INTERSECT_VERTEX, q1, n1));
+ }
+ if (equal(q2, line.v2)) {
+ out.push_back(PolyIntersectionInfo(INTERSECT_VERTEX, q2, n2));
+ } else if (line.v2.x < q2.x) {
+ out.push_back(PolyIntersectionInfo(INTERSECT_EDGE, line.v2, i));
+ } else {
+ out.push_back(PolyIntersectionInfo(INTERSECT_VERTEX, q2, n2));
+ }
+
+ count += 2;
+
+ break;
+ }
+ default:
+ break;
+ }
+ }
+ return count;
+ }
+
+ struct FwdSort {
+ bool operator()(const PolyIntersectionInfo &a,
+ const PolyIntersectionInfo &b) const {
+ return a.ipoint < b.ipoint;
+ }
+ };
+
+ struct RevSort {
+ bool operator()(const PolyIntersectionInfo &a,
+ const PolyIntersectionInfo &b) const {
+ return a.ipoint < b.ipoint;
+ }
+ };
+
+ int sortedLineSegmentPolyIntersections(const P2Vector &points,
+ LineSegment2 line,
+ std::vector<PolyIntersectionInfo> &out) {
+
+ bool swapped = line.v2 < line.v1;
+
+ int count = lineSegmentPolyIntersections(points, line, out);
+ if (swapped) {
+ std::sort(out.begin(), out.end(), RevSort());
+ } else {
+ std::sort(out.begin(), out.end(), FwdSort());
+ }
+ return count;
+ }
+
+ bool pickContainedPoint(const std::vector<P2> &poly, P2 &result) {
+ return pickContainedPoint(poly, p2_adapt_ident(), result);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/geom3d.cpp b/extern/carve/lib/geom3d.cpp
new file mode 100644
index 00000000000..061dfe91802
--- /dev/null
+++ b/extern/carve/lib/geom3d.cpp
@@ -0,0 +1,164 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/math.hpp>
+#include <carve/geom3d.hpp>
+
+#include <algorithm>
+
+namespace carve {
+ namespace geom3d {
+
+ namespace {
+ int is_same(const std::vector<const Vector *> &a,
+ const std::vector<const Vector *> &b) {
+ if (a.size() != b.size()) return false;
+
+ const size_t S = a.size();
+ size_t i, j, p;
+
+ for (p = 0; p < S; ++p) {
+ if (a[0] == b[p]) break;
+ }
+ if (p == S) return 0;
+
+ for (i = 1, j = p + 1; j < S; ++i, ++j) if (a[i] != b[j]) goto not_fwd;
+ for ( j = 0; i < S; ++i, ++j) if (a[i] != b[j]) goto not_fwd;
+ return +1;
+
+not_fwd:
+ for (i = 1, j = p - 1; j != (size_t)-1; ++i, --j) if (a[i] != b[j]) goto not_rev;
+ for ( j = S - 1; i < S; ++i, --j) if (a[i] != b[j]) goto not_rev;
+ return -1;
+
+not_rev:
+ return 0;
+ }
+ }
+
+ bool planeIntersection(const Plane &a, const Plane &b, Ray &r) {
+ Vector N = cross(a.N, b.N);
+ if (N.isZero()) {
+ return false;
+ }
+ N.normalize();
+
+ double dot_aa = dot(a.N, a.N);
+ double dot_bb = dot(b.N, b.N);
+ double dot_ab = dot(a.N, b.N);
+
+ double determinant = dot_aa * dot_bb - dot_ab * dot_ab;
+
+ double c1 = ( a.d * dot_bb - b.d * dot_ab) / determinant;
+ double c2 = ( b.d * dot_aa - a.d * dot_ab) / determinant;
+
+ r.D = N;
+ r.v = c1 * a.N + c2 * b.N;
+
+ return true;
+ }
+
+ IntersectionClass rayPlaneIntersection(const Plane &p,
+ const Vector &v1,
+ const Vector &v2,
+ Vector &v,
+ double &t) {
+ Vector Rd = v2 - v1;
+ double Vd = dot(p.N, Rd);
+ double V0 = dot(p.N, v1) + p.d;
+
+ if (carve::math::ZERO(Vd)) {
+ if (carve::math::ZERO(V0)) {
+ return INTERSECT_BAD;
+ } else {
+ return INTERSECT_NONE;
+ }
+ }
+
+ t = -V0 / Vd;
+ v = v1 + t * Rd;
+ return INTERSECT_PLANE;
+ }
+
+ IntersectionClass lineSegmentPlaneIntersection(const Plane &p,
+ const LineSegment &line,
+ Vector &v) {
+ double t;
+ IntersectionClass r = rayPlaneIntersection(p, line.v1, line.v2, v, t);
+
+ if (r <= 0) return r;
+
+ if ((t < 0.0 && !equal(v, line.v1)) || (t > 1.0 && !equal(v, line.v2)))
+ return INTERSECT_NONE;
+
+ return INTERSECT_PLANE;
+ }
+
+ RayIntersectionClass rayRayIntersection(const Ray &r1,
+ const Ray &r2,
+ Vector &v1,
+ Vector &v2,
+ double &mu1,
+ double &mu2) {
+ if (!r1.OK() || !r2.OK()) return RR_DEGENERATE;
+
+ Vector v_13 = r1.v - r2.v;
+
+ double d1343 = dot(v_13, r2.D);
+ double d4321 = dot(r2.D, r1.D);
+ double d1321 = dot(v_13, r1.D);
+ double d4343 = dot(r2.D, r2.D);
+ double d2121 = dot(r1.D, r1.D);
+
+ double numer = d1343 * d4321 - d1321 * d4343;
+ double denom = d2121 * d4343 - d4321 * d4321;
+
+ // dc - eb
+ // -------
+ // ab - cc
+
+ // dc/eb - 1
+ // ---------
+ // a/e - cc/eb
+
+ // dc/b - e
+ // --------
+ // a - cc/b
+
+ // d/b - e/c
+ // ---------
+ // a/c - c/b
+
+ if (fabs(denom) * double(1<<10) <= fabs(numer)) {
+ return RR_PARALLEL;
+ }
+
+ mu1 = numer / denom;
+ mu2 = (d1343 + d4321 * mu1) / d4343;
+
+ v1 = r1.v + mu1 * r1.D;
+ v2 = r2.v + mu2 * r2.D;
+
+ return (equal(v1, v2)) ? RR_INTERSECTION : RR_NO_INTERSECTION;
+ }
+
+ }
+}
diff --git a/extern/carve/lib/intersect.cpp b/extern/carve/lib/intersect.cpp
new file mode 100644
index 00000000000..35166a6411e
--- /dev/null
+++ b/extern/carve/lib/intersect.cpp
@@ -0,0 +1,1668 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/pointset.hpp>
+#include <carve/polyline.hpp>
+
+#include <list>
+#include <set>
+#include <iostream>
+
+#include <algorithm>
+
+#include "csg_detail.hpp"
+#include "csg_data.hpp"
+
+#include "intersect_debug.hpp"
+#include "intersect_common.hpp"
+#include "intersect_classify_common.hpp"
+
+#include "csg_collector.hpp"
+
+#include <carve/timing.hpp>
+#include <carve/colour.hpp>
+
+
+
+
+carve::csg::VertexPool::VertexPool() {
+}
+
+carve::csg::VertexPool::~VertexPool() {
+}
+
+void carve::csg::VertexPool::reset() {
+ pool.clear();
+}
+
+carve::csg::VertexPool::vertex_t *carve::csg::VertexPool::get(const vertex_t::vector_t &v) {
+ if (!pool.size() || pool.back().size() == blocksize) {
+ pool.push_back(std::vector<vertex_t>());
+ pool.back().reserve(blocksize);
+ }
+ pool.back().push_back(vertex_t(v));
+ return &pool.back().back();
+}
+
+bool carve::csg::VertexPool::inPool(vertex_t *v) const {
+ for (pool_t::const_iterator i = pool.begin(); i != pool.end(); ++i) {
+ if (v >= &(i->front()) && v <= &(i->back())) return true;
+ }
+ return false;
+}
+
+
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+void writePLY(const std::string &out_file, const carve::point::PointSet *points, bool ascii);
+void writePLY(const std::string &out_file, const carve::line::PolylineSet *lines, bool ascii);
+void writePLY(const std::string &out_file, const carve::mesh::MeshSet<3> *poly, bool ascii);
+
+static carve::mesh::MeshSet<3> *faceLoopsToPolyhedron(const carve::csg::FaceLoopList &fl) {
+ std::vector<carve::mesh::MeshSet<3>::face_t *> faces;
+ faces.reserve(fl.size());
+ for (carve::csg::FaceLoop *f = fl.head; f; f = f->next) {
+ faces.push_back(f->orig_face->create(f->vertices.begin(), f->vertices.end(), false));
+ }
+ carve::mesh::MeshSet<3> *poly = new carve::mesh::MeshSet<3>(faces);
+
+ return poly;
+}
+#endif
+
+namespace {
+ /**
+ * \brief Sort a range [\a beg, \a end) of vertices in order of increasing dot product of vertex - \a base on \dir.
+ *
+ * @tparam[in] T a forward iterator type.
+ * @param[in] dir The direction in which to sort vertices.
+ * @param[in] base
+ * @param[in] beg The start of the vertex range to sort.
+ * @param[in] end The end of the vertex range to sort.
+ * @param[out] out The sorted vertex result.
+ * @param[in] size_hint A hint regarding the size of the output
+ * vector (to avoid needing to be able to calculate \a
+ * end - \a beg).
+ */
+ template<typename iter_t>
+ void orderVertices(iter_t beg, const iter_t end,
+ const carve::mesh::MeshSet<3>::vertex_t::vector_t &dir,
+ const carve::mesh::MeshSet<3>::vertex_t::vector_t &base,
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &out) {
+ typedef std::vector<std::pair<double, carve::mesh::MeshSet<3>::vertex_t *> > DVVector;
+ std::vector<std::pair<double, carve::mesh::MeshSet<3>::vertex_t *> > ordered_vertices;
+
+ ordered_vertices.reserve(std::distance(beg, end));
+
+ for (; beg != end; ++beg) {
+ carve::mesh::MeshSet<3>::vertex_t *v = (*beg);
+ ordered_vertices.push_back(std::make_pair(carve::geom::dot(v->v - base, dir), v));
+ }
+
+ std::sort(ordered_vertices.begin(), ordered_vertices.end());
+
+ out.clear();
+ out.reserve(ordered_vertices.size());
+ for (DVVector::const_iterator
+ i = ordered_vertices.begin(), e = ordered_vertices.end();
+ i != e;
+ ++i) {
+ out.push_back((*i).second);
+ }
+ }
+
+
+
+ /**
+ *
+ *
+ * @param dir
+ * @param base
+ * @param beg
+ * @param end
+ */
+ template<typename iter_t>
+ void selectOrderingProjection(iter_t beg, const iter_t end,
+ carve::mesh::MeshSet<3>::vertex_t::vector_t &dir,
+ carve::mesh::MeshSet<3>::vertex_t::vector_t &base) {
+ double dx, dy, dz;
+ carve::mesh::MeshSet<3>::vertex_t *min_x, *min_y, *min_z, *max_x, *max_y, *max_z;
+ if (beg == end) return;
+ min_x = max_x = min_y = max_y = min_z = max_z = *beg++;
+ for (; beg != end; ++beg) {
+ if (min_x->v.x > (*beg)->v.x) min_x = *beg;
+ if (min_y->v.y > (*beg)->v.y) min_y = *beg;
+ if (min_z->v.z > (*beg)->v.z) min_z = *beg;
+ if (max_x->v.x < (*beg)->v.x) max_x = *beg;
+ if (max_y->v.y < (*beg)->v.y) max_y = *beg;
+ if (max_z->v.z < (*beg)->v.z) max_z = *beg;
+ }
+
+ dx = max_x->v.x - min_x->v.x;
+ dy = max_y->v.y - min_y->v.y;
+ dz = max_z->v.z - min_z->v.z;
+
+ if (dx > dy) {
+ if (dx > dz) {
+ dir = max_x->v - min_x->v; base = min_x->v;
+ } else {
+ dir = max_z->v - min_z->v; base = min_z->v;
+ }
+ } else {
+ if (dy > dz) {
+ dir = max_y->v - min_y->v; base = min_y->v;
+ } else {
+ dir = max_z->v - min_z->v; base = min_z->v;
+ }
+ }
+ }
+}
+
+namespace {
+ struct dump_data {
+ carve::mesh::MeshSet<3>::vertex_t *i_pt;
+ carve::csg::IObj i_src;
+ carve::csg::IObj i_tgt;
+ dump_data(carve::mesh::MeshSet<3>::vertex_t *_i_pt,
+ carve::csg::IObj _i_src,
+ carve::csg::IObj _i_tgt) : i_pt(_i_pt), i_src(_i_src), i_tgt(_i_tgt) {
+ }
+ };
+
+
+
+ struct dump_sort {
+ bool operator()(const dump_data &a, const dump_data &b) const {
+ if (a.i_pt->v.x < b.i_pt->v.x) return true;
+ if (a.i_pt->v.x > b.i_pt->v.x) return false;
+ if (a.i_pt->v.y < b.i_pt->v.y) return true;
+ if (a.i_pt->v.y > b.i_pt->v.y) return false;
+ if (a.i_pt->v.z < b.i_pt->v.z) return true;
+ if (a.i_pt->v.z > b.i_pt->v.z) return false;
+ return false;
+ }
+ };
+
+
+
+ void dump_intersections(std::ostream &out, carve::csg::Intersections &csg_intersections) {
+ std::vector<dump_data> temp;
+
+ for (carve::csg::Intersections::const_iterator
+ i = csg_intersections.begin(),
+ ie = csg_intersections.end();
+ i != ie;
+ ++i) {
+ const carve::csg::IObj &i_src = ((*i).first);
+
+ for (carve::csg::Intersections::mapped_type::const_iterator
+ j = (*i).second.begin(),
+ je = (*i).second.end();
+ j != je;
+ ++j) {
+ const carve::csg::IObj &i_tgt = ((*j).first);
+ carve::mesh::MeshSet<3>::vertex_t *i_pt = ((*j).second);
+ temp.push_back(dump_data(i_pt, i_src, i_tgt));
+ }
+ }
+
+ std::sort(temp.begin(), temp.end(), dump_sort());
+
+ for (size_t i = 0; i < temp.size(); ++i) {
+ const carve::csg::IObj &i_src = temp[i].i_src;
+ const carve::csg::IObj &i_tgt = temp[i].i_tgt;
+ out
+ << "INTERSECTION: " << temp[i].i_pt << " (" << temp[i].i_pt->v << ") "
+ << "is " << i_src << ".." << i_tgt << std::endl;
+ }
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ std::vector<carve::geom3d::Vector> vertices;
+
+ for (carve::csg::Intersections::const_iterator
+ i = csg_intersections.begin(),
+ ie = csg_intersections.end();
+ i != ie;
+ ++i) {
+ for (carve::csg::Intersections::mapped_type::const_iterator
+ j = (*i).second.begin(),
+ je = (*i).second.end();
+ j != je;
+ ++j) {
+ carve::mesh::MeshSet<3>::vertex_t *i_pt = ((*j).second);
+ vertices.push_back(i_pt->v);
+ }
+ }
+
+ carve::point::PointSet points(vertices);
+
+ std::string outf("/tmp/intersection-points.ply");
+ ::writePLY(outf, &points, true);
+#endif
+ }
+
+
+
+ /**
+ * \brief Populate a collection with the faces adjoining an edge.
+ *
+ * @tparam face_set_t A collection type.
+ * @param e The edge for which to collect adjoining faces.
+ * @param faces
+ */
+ template<typename face_set_t>
+ inline void facesForVertex(carve::mesh::MeshSet<3>::vertex_t *v,
+ const carve::csg::detail::VEVecMap &ve,
+ face_set_t &faces) {
+ carve::csg::detail::VEVecMap::const_iterator vi = ve.find(v);
+ if (vi != ve.end()) {
+ for (carve::csg::detail::VEVecMap::data_type::const_iterator i = (*vi).second.begin(); i != (*vi).second.end(); ++i) {
+ faces.insert((*i)->face);
+ }
+ }
+ }
+
+ /**
+ * \brief Populate a collection with the faces adjoining an edge.
+ *
+ * @tparam face_set_t A collection type.
+ * @param e The edge for which to collect adjoining faces.
+ * @param faces
+ */
+ template<typename face_set_t>
+ inline void facesForEdge(carve::mesh::MeshSet<3>::edge_t *e,
+ face_set_t &faces) {
+ faces.insert(e->face);
+ }
+
+ /**
+ * \brief Populate a collection with the faces adjoining a face.
+ *
+ * @tparam face_set_t A collection type.
+ * @param f The face for which to collect adjoining faces.
+ * @param faces
+ */
+ template<typename face_set_t>
+ inline void facesForFace(carve::mesh::MeshSet<3>::face_t *f,
+ face_set_t &faces) {
+ faces.insert(f);
+ }
+
+ /**
+ * \brief Populate a collection with the faces adjoining an intersection object.
+ *
+ * @tparam face_set_t A collection type holding const carve::poly::Polyhedron::face_t *.
+ * @param obj The intersection object for which to collect adjoining faces.
+ * @param faces
+ */
+ template<typename face_set_t>
+ void facesForObject(const carve::csg::IObj &obj,
+ const carve::csg::detail::VEVecMap &ve,
+ face_set_t &faces) {
+ switch (obj.obtype) {
+ case carve::csg::IObj::OBTYPE_VERTEX:
+ facesForVertex(obj.vertex, ve, faces);
+ break;
+
+ case carve::csg::IObj::OBTYPE_EDGE:
+ facesForEdge(obj.edge, faces);
+ break;
+
+ case carve::csg::IObj::OBTYPE_FACE:
+ facesForFace(obj.face, faces);
+ break;
+
+ default:
+ break;
+ }
+ }
+
+
+
+}
+
+
+
+bool carve::csg::CSG::Hooks::hasHook(unsigned hook_num) {
+ return hooks[hook_num].size() > 0;
+}
+
+void carve::csg::CSG::Hooks::intersectionVertex(const carve::mesh::MeshSet<3>::vertex_t *vertex,
+ const IObjPairSet &intersections) {
+ for (std::list<Hook *>::iterator j = hooks[INTERSECTION_VERTEX_HOOK].begin();
+ j != hooks[INTERSECTION_VERTEX_HOOK].end();
+ ++j) {
+ (*j)->intersectionVertex(vertex, intersections);
+ }
+}
+
+void carve::csg::CSG::Hooks::processOutputFace(std::vector<carve::mesh::MeshSet<3>::face_t *> &faces,
+ const carve::mesh::MeshSet<3>::face_t *orig_face,
+ bool flipped) {
+ for (std::list<Hook *>::iterator j = hooks[PROCESS_OUTPUT_FACE_HOOK].begin();
+ j != hooks[PROCESS_OUTPUT_FACE_HOOK].end();
+ ++j) {
+ (*j)->processOutputFace(faces, orig_face, flipped);
+ }
+}
+
+void carve::csg::CSG::Hooks::resultFace(const carve::mesh::MeshSet<3>::face_t *new_face,
+ const carve::mesh::MeshSet<3>::face_t *orig_face,
+ bool flipped) {
+ for (std::list<Hook *>::iterator j = hooks[RESULT_FACE_HOOK].begin();
+ j != hooks[RESULT_FACE_HOOK].end();
+ ++j) {
+ (*j)->resultFace(new_face, orig_face, flipped);
+ }
+}
+
+void carve::csg::CSG::Hooks::registerHook(Hook *hook, unsigned hook_bits) {
+ for (unsigned i = 0; i < HOOK_MAX; ++i) {
+ if (hook_bits & (1U << i)) {
+ hooks[i].push_back(hook);
+ }
+ }
+}
+
+void carve::csg::CSG::Hooks::unregisterHook(Hook *hook) {
+ for (unsigned i = 0; i < HOOK_MAX; ++i) {
+ hooks[i].erase(std::remove(hooks[i].begin(), hooks[i].end(), hook), hooks[i].end());
+ }
+}
+
+void carve::csg::CSG::Hooks::reset() {
+ for (unsigned i = 0; i < HOOK_MAX; ++i) {
+ for (std::list<Hook *>::iterator j = hooks[i].begin(); j != hooks[i].end(); ++j) {
+ delete (*j);
+ }
+ hooks[i].clear();
+ }
+}
+
+carve::csg::CSG::Hooks::Hooks() : hooks() {
+ hooks.resize(HOOK_MAX);
+}
+
+carve::csg::CSG::Hooks::~Hooks() {
+ reset();
+}
+
+
+
+void carve::csg::CSG::makeVertexIntersections() {
+ static carve::TimingName FUNC_NAME("CSG::makeVertexIntersections()");
+ carve::TimingBlock block(FUNC_NAME);
+ vertex_intersections.clear();
+ for (Intersections::const_iterator
+ i = intersections.begin(),
+ ie = intersections.end();
+ i != ie;
+ ++i) {
+ const IObj &i_src = ((*i).first);
+
+ for (Intersections::mapped_type::const_iterator
+ j = (*i).second.begin(),
+ je = (*i).second.end();
+ j != je;
+ ++j) {
+ const IObj &i_tgt = ((*j).first);
+ carve::mesh::MeshSet<3>::vertex_t *i_pt = ((*j).second);
+
+ vertex_intersections[i_pt].insert(std::make_pair(i_src, i_tgt));
+ }
+ }
+}
+
+
+
+static carve::mesh::MeshSet<3>::vertex_t *chooseWeldPoint(
+ const carve::csg::detail::VSet &equivalent,
+ carve::csg::VertexPool &vertex_pool) {
+ // XXX: choose a better weld point.
+ if (!equivalent.size()) return NULL;
+
+ for (carve::csg::detail::VSet::const_iterator
+ i = equivalent.begin(), e = equivalent.end();
+ i != e;
+ ++i) {
+ if (!vertex_pool.inPool((*i))) return (*i);
+ }
+ return *equivalent.begin();
+}
+
+
+
+static const carve::mesh::MeshSet<3>::vertex_t *weld(
+ const carve::csg::detail::VSet &equivalent,
+ carve::csg::VertexIntersections &vertex_intersections,
+ carve::csg::VertexPool &vertex_pool) {
+ carve::mesh::MeshSet<3>::vertex_t *weld_point = chooseWeldPoint(equivalent, vertex_pool);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "weld: " << equivalent.size() << " vertices ( ";
+ for (carve::csg::detail::VSet::const_iterator
+ i = equivalent.begin(), e = equivalent.end();
+ i != e;
+ ++i) {
+ const carve::mesh::MeshSet<3>::vertex_t *v = (*i);
+ std::cerr << " " << v;
+ }
+ std::cerr << ") to " << weld_point << std::endl;
+#endif
+
+ if (!weld_point) return NULL;
+
+ carve::csg::VertexIntersections::mapped_type &weld_tgt = (vertex_intersections[weld_point]);
+
+ for (carve::csg::detail::VSet::const_iterator
+ i = equivalent.begin(), e = equivalent.end();
+ i != e;
+ ++i) {
+ carve::mesh::MeshSet<3>::vertex_t *v = (*i);
+
+ if (v != weld_point) {
+ carve::csg::VertexIntersections::iterator j = vertex_intersections.find(v);
+
+ if (j != vertex_intersections.end()) {
+ weld_tgt.insert((*j).second.begin(), (*j).second.end());
+ vertex_intersections.erase(j);
+ }
+ }
+ }
+ return weld_point;
+}
+
+
+
+void carve::csg::CSG::groupIntersections() {
+#if 0 // old code, to be removed.
+ static carve::TimingName GROUP_INTERSECTONS("groupIntersections()");
+
+ carve::TimingBlock block(GROUP_INTERSECTONS);
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> vertices;
+ detail::VVSMap graph;
+#if defined(CARVE_DEBUG)
+ std::cerr << "groupIntersections()" << ": vertex_intersections.size()==" << vertex_intersections.size() << std::endl;
+#endif
+
+ vertices.reserve(vertex_intersections.size());
+ for (carve::csg::VertexIntersections::const_iterator
+ i = vertex_intersections.begin(),
+ e = vertex_intersections.end();
+ i != e;
+ ++i)
+ {
+ vertices.push_back((*i).first);
+ }
+ carve::geom3d::AABB aabb;
+ aabb.fit(vertices.begin(), vertices.end(), carve::poly::vec_adapt_vertex_ptr());
+ Octree vertex_intersections_octree;
+ vertex_intersections_octree.setBounds(aabb);
+
+ vertex_intersections_octree.addVertices(vertices);
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> out;
+ for (size_t i = 0, l = vertices.size(); i != l; ++i) {
+ // let's find all the vertices near this one.
+ out.clear();
+ vertex_intersections_octree.findVerticesNearAllowDupes(vertices[i]->v, out);
+
+ for (size_t j = 0; j < out.size(); ++j) {
+ if (vertices[i] != out[j] && carve::geom::equal(vertices[i]->v, out[j]->v)) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "EQ: " << vertices[i] << "," << out[j] << " " << vertices[i]->v << "," << out[j]->v << std::endl;
+#endif
+ graph[vertices[i]].insert(out[j]);
+ graph[out[j]].insert(vertices[i]);
+ }
+ }
+ }
+
+ detail::VSet visited, open;
+ while (graph.size()) {
+ visited.clear();
+ open.clear();
+ detail::VVSMap::iterator i = graph.begin();
+ open.insert((*i).first);
+ while (open.size()) {
+ detail::VSet::iterator t = open.begin();
+ const carve::mesh::MeshSet<3>::vertex_t *o = (*t);
+ open.erase(t);
+ i = graph.find(o);
+ CARVE_ASSERT(i != graph.end());
+ visited.insert(o);
+ for (detail::VVSMap::mapped_type::const_iterator
+ j = (*i).second.begin(),
+ je = (*i).second.end();
+ j != je;
+ ++j) {
+ if (visited.count((*j)) == 0) {
+ open.insert((*j));
+ }
+ }
+ graph.erase(i);
+ }
+ weld(visited, vertex_intersections, vertex_pool);
+ }
+#endif
+}
+
+
+
+void carve::csg::CSG::intersectingFacePairs(detail::Data &data) {
+ static carve::TimingName FUNC_NAME("CSG::intersectingFacePairs()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ // iterate over all intersection points.
+ for (VertexIntersections::const_iterator i = vertex_intersections.begin(), ie = vertex_intersections.end(); i != ie; ++i) {
+ carve::mesh::MeshSet<3>::vertex_t *i_pt = ((*i).first);
+ detail::VFSMap::mapped_type &face_set = (data.fmap_rev[i_pt]);
+
+ // for all pairs of intersecting objects at this point
+ for (VertexIntersections::data_type::const_iterator j = (*i).second.begin(), je = (*i).second.end(); j != je; ++j) {
+ const IObj &i_src = ((*j).first);
+ const IObj &i_tgt = ((*j).second);
+
+ // work out the faces involved. this updates fmap_rev.
+ facesForObject(i_src, data.vert_to_edges, face_set);
+ facesForObject(i_tgt, data.vert_to_edges, face_set);
+
+ // record the intersection with respect to any involved vertex.
+ if (i_src.obtype == IObj::OBTYPE_VERTEX) data.vmap[i_src.vertex] = i_pt;
+ if (i_tgt.obtype == IObj::OBTYPE_VERTEX) data.vmap[i_tgt.vertex] = i_pt;
+
+ // record the intersection with respect to any involved edge.
+ if (i_src.obtype == IObj::OBTYPE_EDGE) data.emap[i_src.edge].insert(i_pt);
+ if (i_tgt.obtype == IObj::OBTYPE_EDGE) data.emap[i_tgt.edge].insert(i_pt);
+ }
+
+ // record the intersection with respect to each face.
+ for (carve::csg::detail::VFSMap::mapped_type::const_iterator k = face_set.begin(), ke = face_set.end(); k != ke; ++k) {
+ carve::mesh::MeshSet<3>::face_t *f = (*k);
+ data.fmap[f].insert(i_pt);
+ }
+ }
+}
+
+
+
+void carve::csg::CSG::_generateVertexVertexIntersections(carve::mesh::MeshSet<3>::vertex_t *va,
+ carve::mesh::MeshSet<3>::edge_t *eb) {
+ if (intersections.intersects(va, eb->v1())) {
+ return;
+ }
+
+ double d_v1 = carve::geom::distance2(va->v, eb->v1()->v);
+
+ if (d_v1 < carve::EPSILON2) {
+ intersections.record(va, eb->v1(), va);
+ }
+}
+
+
+
+void carve::csg::CSG::generateVertexVertexIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b) {
+ carve::mesh::MeshSet<3>::edge_t *ea, *eb;
+
+ ea = a->edge;
+ do {
+ for (size_t i = 0; i < b.size(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *t = b[i];
+ eb = t->edge;
+ do {
+ _generateVertexVertexIntersections(ea->v1(), eb);
+ eb = eb->next;
+ } while (eb != t->edge);
+ }
+ ea = ea->next;
+ } while (ea != a->edge);
+}
+
+
+
+void carve::csg::CSG::_generateVertexEdgeIntersections(carve::mesh::MeshSet<3>::vertex_t *va,
+ carve::mesh::MeshSet<3>::edge_t *eb) {
+ if (intersections.intersects(va, eb)) {
+ return;
+ }
+
+ if (std::min(eb->v1()->v.x, eb->v2()->v.x) - carve::EPSILON > va->v.x ||
+ std::max(eb->v1()->v.x, eb->v2()->v.x) + carve::EPSILON < va->v.x ||
+ std::min(eb->v1()->v.y, eb->v2()->v.y) - carve::EPSILON > va->v.y ||
+ std::max(eb->v1()->v.y, eb->v2()->v.y) + carve::EPSILON < va->v.y ||
+ std::min(eb->v1()->v.z, eb->v2()->v.z) - carve::EPSILON > va->v.z ||
+ std::max(eb->v1()->v.z, eb->v2()->v.z) + carve::EPSILON < va->v.z) {
+ return;
+ }
+
+ double a = cross(eb->v2()->v - eb->v1()->v, va->v - eb->v1()->v).length2();
+ double b = (eb->v2()->v - eb->v1()->v).length2();
+
+ if (a < b * carve::EPSILON2) {
+ // vertex-edge intersection
+ intersections.record(eb, va, va);
+ if (eb->rev) intersections.record(eb->rev, va, va);
+ }
+}
+
+
+
+void carve::csg::CSG::generateVertexEdgeIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b) {
+ carve::mesh::MeshSet<3>::edge_t *ea, *eb;
+
+ ea = a->edge;
+ do {
+ for (size_t i = 0; i < b.size(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *t = b[i];
+ eb = t->edge;
+ do {
+ _generateVertexEdgeIntersections(ea->v1(), eb);
+ eb = eb->next;
+ } while (eb != t->edge);
+ }
+ ea = ea->next;
+ } while (ea != a->edge);
+}
+
+
+
+void carve::csg::CSG::_generateEdgeEdgeIntersections(carve::mesh::MeshSet<3>::edge_t *ea,
+ carve::mesh::MeshSet<3>::edge_t *eb) {
+ if (intersections.intersects(ea, eb)) {
+ return;
+ }
+
+ carve::mesh::MeshSet<3>::vertex_t *v1 = ea->v1(), *v2 = ea->v2();
+ carve::mesh::MeshSet<3>::vertex_t *v3 = eb->v1(), *v4 = eb->v2();
+
+ carve::geom::aabb<3> ea_aabb, eb_aabb;
+ ea_aabb.fit(v1->v, v2->v);
+ eb_aabb.fit(v3->v, v4->v);
+ if (ea_aabb.maxAxisSeparation(eb_aabb) > EPSILON) return;
+
+ carve::mesh::MeshSet<3>::vertex_t::vector_t p1, p2;
+ double mu1, mu2;
+
+ switch (carve::geom3d::rayRayIntersection(carve::geom3d::Ray(v2->v - v1->v, v1->v),
+ carve::geom3d::Ray(v4->v - v3->v, v3->v),
+ p1, p2, mu1, mu2)) {
+ case carve::RR_INTERSECTION: {
+ // edges intersect
+ if (mu1 >= 0.0 && mu1 <= 1.0 && mu2 >= 0.0 && mu2 <= 1.0) {
+ carve::mesh::MeshSet<3>::vertex_t *p = vertex_pool.get((p1 + p2) / 2.0);
+ intersections.record(ea, eb, p);
+ if (ea->rev) intersections.record(ea->rev, eb, p);
+ if (eb->rev) intersections.record(ea, eb->rev, p);
+ if (ea->rev && eb->rev) intersections.record(ea->rev, eb->rev, p);
+ }
+ break;
+ }
+ case carve::RR_PARALLEL: {
+ // edges parallel. any intersection of this type should have
+ // been handled by generateVertexEdgeIntersections().
+ break;
+ }
+ case carve::RR_DEGENERATE: {
+ throw carve::exception("degenerate edge");
+ break;
+ }
+ case carve::RR_NO_INTERSECTION: {
+ break;
+ }
+ }
+}
+
+
+
+void carve::csg::CSG::generateEdgeEdgeIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b) {
+ carve::mesh::MeshSet<3>::edge_t *ea, *eb;
+
+ ea = a->edge;
+ do {
+ for (size_t i = 0; i < b.size(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *t = b[i];
+ eb = t->edge;
+ do {
+ _generateEdgeEdgeIntersections(ea, eb);
+ eb = eb->next;
+ } while (eb != t->edge);
+ }
+ ea = ea->next;
+ } while (ea != a->edge);
+}
+
+
+
+void carve::csg::CSG::_generateVertexFaceIntersections(carve::mesh::MeshSet<3>::face_t *fa,
+ carve::mesh::MeshSet<3>::edge_t *eb) {
+ if (intersections.intersects(eb->v1(), fa)) {
+ return;
+ }
+
+ double d1 = carve::geom::distance(fa->plane, eb->v1()->v);
+
+ if (fabs(d1) < carve::EPSILON &&
+ fa->containsPoint(eb->v1()->v)) {
+ intersections.record(eb->v1(), fa, eb->v1());
+ }
+}
+
+
+
+void carve::csg::CSG::generateVertexFaceIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b) {
+ carve::mesh::MeshSet<3>::edge_t *ea, *eb;
+
+ for (size_t i = 0; i < b.size(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *t = b[i];
+ eb = t->edge;
+ do {
+ _generateVertexFaceIntersections(a, eb);
+ eb = eb->next;
+ } while (eb != t->edge);
+ }
+}
+
+
+
+void carve::csg::CSG::_generateEdgeFaceIntersections(carve::mesh::MeshSet<3>::face_t *fa,
+ carve::mesh::MeshSet<3>::edge_t *eb) {
+ if (intersections.intersects(eb, fa)) {
+ return;
+ }
+
+ carve::mesh::MeshSet<3>::vertex_t::vector_t _p;
+ if (fa->simpleLineSegmentIntersection(carve::geom3d::LineSegment(eb->v1()->v, eb->v2()->v), _p)) {
+ carve::mesh::MeshSet<3>::vertex_t *p = vertex_pool.get(_p);
+ intersections.record(eb, fa, p);
+ if (eb->rev) intersections.record(eb->rev, fa, p);
+ }
+}
+
+
+
+void carve::csg::CSG::generateEdgeFaceIntersections(carve::mesh::MeshSet<3>::face_t *a,
+ const std::vector<carve::mesh::MeshSet<3>::face_t *> &b) {
+ carve::mesh::MeshSet<3>::edge_t *ea, *eb;
+
+ for (size_t i = 0; i < b.size(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *t = b[i];
+ eb = t->edge;
+ do {
+ _generateEdgeFaceIntersections(a, eb);
+ eb = eb->next;
+ } while (eb != t->edge);
+ }
+}
+
+
+
+void carve::csg::CSG::generateIntersectionCandidates(carve::mesh::MeshSet<3> *a,
+ const face_rtree_t *a_node,
+ carve::mesh::MeshSet<3> *b,
+ const face_rtree_t *b_node,
+ face_pairs_t &face_pairs,
+ bool descend_a) {
+ if (!a_node->bbox.intersects(b_node->bbox)) {
+ return;
+ }
+
+ if (a_node->child && (descend_a || !b_node->child)) {
+ for (face_rtree_t *node = a_node->child; node; node = node->sibling) {
+ generateIntersectionCandidates(a, node, b, b_node, face_pairs, false);
+ }
+ } else if (b_node->child) {
+ for (face_rtree_t *node = b_node->child; node; node = node->sibling) {
+ generateIntersectionCandidates(a, a_node, b, node, face_pairs, true);
+ }
+ } else {
+ for (size_t i = 0; i < a_node->data.size(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *fa = a_node->data[i];
+ carve::geom::aabb<3> aabb_a = fa->getAABB();
+ if (aabb_a.maxAxisSeparation(b_node->bbox) > carve::EPSILON) continue;
+
+ for (size_t j = 0; j < b_node->data.size(); ++j) {
+ carve::mesh::MeshSet<3>::face_t *fb = b_node->data[j];
+ carve::geom::aabb<3> aabb_b = fb->getAABB();
+ if (aabb_b.maxAxisSeparation(aabb_a) > carve::EPSILON) continue;
+
+ std::pair<double, double> a_ra = fa->rangeInDirection(fa->plane.N, fa->edge->vert->v);
+ std::pair<double, double> b_ra = fb->rangeInDirection(fa->plane.N, fa->edge->vert->v);
+ if (carve::rangeSeparation(a_ra, b_ra) > carve::EPSILON) continue;
+
+ std::pair<double, double> a_rb = fa->rangeInDirection(fb->plane.N, fb->edge->vert->v);
+ std::pair<double, double> b_rb = fb->rangeInDirection(fb->plane.N, fb->edge->vert->v);
+ if (carve::rangeSeparation(a_rb, b_rb) > carve::EPSILON) continue;
+
+ if (!facesAreCoplanar(fa, fb)) {
+ face_pairs[fa].push_back(fb);
+ face_pairs[fb].push_back(fa);
+ }
+ }
+ }
+ }
+}
+
+
+
+
+void carve::csg::CSG::generateIntersections(carve::mesh::MeshSet<3> *a,
+ const face_rtree_t *a_rtree,
+ carve::mesh::MeshSet<3> *b,
+ const face_rtree_t *b_rtree,
+ detail::Data &data) {
+ face_pairs_t face_pairs;
+ generateIntersectionCandidates(a, a_rtree, b, b_rtree, face_pairs);
+
+ for (face_pairs_t::const_iterator i = face_pairs.begin(); i != face_pairs.end(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *f = (*i).first;
+ carve::mesh::MeshSet<3>::edge_t *e = f->edge;
+ do {
+ data.vert_to_edges[e->v1()].push_back(e);
+ e = e->next;
+ } while (e != f->edge);
+ }
+
+ for (face_pairs_t::const_iterator i = face_pairs.begin(); i != face_pairs.end(); ++i) {
+ generateVertexVertexIntersections((*i).first, (*i).second);
+ }
+
+ for (face_pairs_t::const_iterator i = face_pairs.begin(); i != face_pairs.end(); ++i) {
+ generateVertexEdgeIntersections((*i).first, (*i).second);
+ }
+
+ for (face_pairs_t::const_iterator i = face_pairs.begin(); i != face_pairs.end(); ++i) {
+ generateEdgeEdgeIntersections((*i).first, (*i).second);
+ }
+
+ for (face_pairs_t::const_iterator i = face_pairs.begin(); i != face_pairs.end(); ++i) {
+ generateVertexFaceIntersections((*i).first, (*i).second);
+ }
+
+ for (face_pairs_t::const_iterator i = face_pairs.begin(); i != face_pairs.end(); ++i) {
+ generateEdgeFaceIntersections((*i).first, (*i).second);
+ }
+
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "makeVertexIntersections" << std::endl;
+#endif
+ makeVertexIntersections();
+
+#if defined(CARVE_DEBUG)
+ std::cerr << " intersections.size() " << intersections.size() << std::endl;
+ map_histogram(std::cerr, intersections);
+ std::cerr << " vertex_intersections.size() " << vertex_intersections.size() << std::endl;
+ map_histogram(std::cerr, vertex_intersections);
+#endif
+
+#if defined(CARVE_DEBUG) && defined(DEBUG_DRAW_INTERSECTIONS)
+ HOOK(drawIntersections(vertex_intersections););
+#endif
+
+#if defined(CARVE_DEBUG)
+ std::cerr << " intersections.size() " << intersections.size() << std::endl;
+ std::cerr << " vertex_intersections.size() " << vertex_intersections.size() << std::endl;
+#endif
+
+ // notify about intersections.
+ if (hooks.hasHook(Hooks::INTERSECTION_VERTEX_HOOK)) {
+ for (VertexIntersections::const_iterator i = vertex_intersections.begin();
+ i != vertex_intersections.end();
+ ++i) {
+ hooks.intersectionVertex((*i).first, (*i).second);
+ }
+ }
+
+ // from here on, only vertex_intersections is used for intersection
+ // information.
+
+ // intersections still contains the vertex_to_face map. maybe that
+ // should be moved out into another class.
+ static_cast<Intersections::super>(intersections).clear();
+}
+
+
+
+carve::csg::CSG::CSG() {
+}
+
+
+
+/**
+ * \brief For each intersected edge, decompose into a set of vertex pairs representing an ordered set of edge fragments.
+ *
+ * @tparam[in,out] data Internal intersection data. data.emap is used to produce data.divided_edges.
+ */
+void carve::csg::CSG::divideIntersectedEdges(detail::Data &data) {
+ static carve::TimingName FUNC_NAME("CSG::divideIntersectedEdges()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ for (detail::EVSMap::const_iterator i = data.emap.begin(), ei = data.emap.end(); i != ei; ++i) {
+ carve::mesh::MeshSet<3>::edge_t *edge = (*i).first;
+ const detail::EVSMap::mapped_type &vertices = (*i).second;
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &verts = data.divided_edges[edge];
+ orderVertices(vertices.begin(), vertices.end(),
+ edge->v2()->v - edge->v1()->v, edge->v1()->v,
+ verts);
+ }
+}
+
+
+
+carve::csg::CSG::~CSG() {
+}
+
+
+
+void carve::csg::CSG::makeFaceEdges(carve::csg::EdgeClassification &eclass,
+ detail::Data &data) {
+ detail::FSet face_b_set;
+ for (detail::FVSMap::const_iterator
+ i = data.fmap.begin(), ie = data.fmap.end();
+ i != ie;
+ ++i) {
+ carve::mesh::MeshSet<3>::face_t *face_a = (*i).first;
+ const detail::FVSMap::mapped_type &face_a_intersections = ((*i).second);
+ face_b_set.clear();
+
+ // work out the set of faces from the opposing polyhedron that intersect face_a.
+ for (detail::FVSMap::mapped_type::const_iterator
+ j = face_a_intersections.begin(), je = face_a_intersections.end();
+ j != je;
+ ++j) {
+ for (detail::VFSMap::mapped_type::const_iterator
+ k = data.fmap_rev[*j].begin(), ke = data.fmap_rev[*j].end();
+ k != ke;
+ ++k) {
+ carve::mesh::MeshSet<3>::face_t *face_b = (*k);
+ if (face_a != face_b && face_b->mesh->meshset != face_a->mesh->meshset) {
+ face_b_set.insert(face_b);
+ }
+ }
+ }
+
+ // run through each intersecting face.
+ for (detail::FSet::const_iterator
+ j = face_b_set.begin(), je = face_b_set.end();
+ j != je;
+ ++j) {
+ carve::mesh::MeshSet<3>::face_t *face_b = (*j);
+ const detail::FVSMap::mapped_type &face_b_intersections = (data.fmap[face_b]);
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> vertices;
+ vertices.reserve(std::min(face_a_intersections.size(), face_b_intersections.size()));
+
+ // record the points of intersection between face_a and face_b
+ std::set_intersection(face_a_intersections.begin(),
+ face_a_intersections.end(),
+ face_b_intersections.begin(),
+ face_b_intersections.end(),
+ std::back_inserter(vertices));
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "face pair: "
+ << face_a << ":" << face_b
+ << " N(verts) " << vertices.size() << std::endl;
+ for (std::vector<carve::mesh::MeshSet<3>::vertex_t *>::const_iterator i = vertices.begin(), e = vertices.end(); i != e; ++i) {
+ std::cerr << (*i) << " " << (*i)->v << " ("
+ << carve::geom::distance(face_a->plane, (*i)->v) << ","
+ << carve::geom::distance(face_b->plane, (*i)->v) << ")"
+ << std::endl;
+ //CARVE_ASSERT(carve::geom3d::distance(face_a->plane_eqn, *(*i)) < EPSILON);
+ //CARVE_ASSERT(carve::geom3d::distance(face_b->plane_eqn, *(*i)) < EPSILON);
+ }
+#endif
+
+ // if there are two points of intersection, then the added edge is simple to determine.
+ if (vertices.size() == 2) {
+ carve::mesh::MeshSet<3>::vertex_t *v1 = vertices[0];
+ carve::mesh::MeshSet<3>::vertex_t *v2 = vertices[1];
+ carve::geom3d::Vector c = (v1->v + v2->v) / 2;
+
+ // determine whether the midpoint of the implied edge is contained in face_a and face_b
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "face_a->nVertices() = " << face_a->nVertices() << " face_a->containsPointInProjection(c) = " << face_a->containsPointInProjection(c) << std::endl;
+ std::cerr << "face_b->nVertices() = " << face_b->nVertices() << " face_b->containsPointInProjection(c) = " << face_b->containsPointInProjection(c) << std::endl;
+#endif
+
+ if (face_a->containsPointInProjection(c) && face_b->containsPointInProjection(c)) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "adding edge: " << v1 << "-" << v2 << std::endl;
+#if defined(DEBUG_DRAW_FACE_EDGES)
+ HOOK(drawEdge(v1, v2, 1, 1, 1, 1, 1, 1, 1, 1, 2.0););
+#endif
+#endif
+ // record the edge, with class information.
+ if (v1 > v2) std::swap(v1, v2);
+ eclass[ordered_edge(v1, v2)] = carve::csg::EC2(carve::csg::EDGE_ON, carve::csg::EDGE_ON);
+ data.face_split_edges[face_a].insert(std::make_pair(v1, v2));
+ data.face_split_edges[face_b].insert(std::make_pair(v1, v2));
+ }
+ continue;
+ }
+
+ // otherwise, it's more complex.
+ carve::geom3d::Vector base, dir;
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> ordered;
+
+ // skip coplanar edges. this simplifies the resulting
+ // mesh. eventually all coplanar face regions of two polyhedra
+ // must reach a point where they are no longer coplanar (or the
+ // polyhedra are identical).
+ if (!facesAreCoplanar(face_a, face_b)) {
+ // order the intersection vertices (they must lie along a
+ // vector, as the faces aren't coplanar).
+ selectOrderingProjection(vertices.begin(), vertices.end(), dir, base);
+ orderVertices(vertices.begin(), vertices.end(), dir, base, ordered);
+
+ // for each possible edge in the ordering, test the midpoint,
+ // and record if it's contained in face_a and face_b.
+ for (int k = 0, ke = (int)ordered.size() - 1; k < ke; ++k) {
+ carve::mesh::MeshSet<3>::vertex_t *v1 = ordered[k];
+ carve::mesh::MeshSet<3>::vertex_t *v2 = ordered[k + 1];
+ carve::geom3d::Vector c = (v1->v + v2->v) / 2;
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "testing edge: " << v1 << "-" << v2 << " at " << c << std::endl;
+ std::cerr << "a: " << face_a->containsPointInProjection(c) << " b: " << face_b->containsPointInProjection(c) << std::endl;
+ std::cerr << "face_a->containsPointInProjection(c): " << face_a->containsPointInProjection(c) << std::endl;
+ std::cerr << "face_b->containsPointInProjection(c): " << face_b->containsPointInProjection(c) << std::endl;
+#endif
+
+ if (face_a->containsPointInProjection(c) && face_b->containsPointInProjection(c)) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "adding edge: " << v1 << "-" << v2 << std::endl;
+#if defined(DEBUG_DRAW_FACE_EDGES)
+ HOOK(drawEdge(v1, v2, .5, .5, .5, 1, .5, .5, .5, 1, 2.0););
+#endif
+#endif
+ // record the edge, with class information.
+ if (v1 > v2) std::swap(v1, v2);
+ eclass[ordered_edge(v1, v2)] = carve::csg::EC2(carve::csg::EDGE_ON, carve::csg::EDGE_ON);
+ data.face_split_edges[face_a].insert(std::make_pair(v1, v2));
+ data.face_split_edges[face_b].insert(std::make_pair(v1, v2));
+ }
+ }
+ }
+ }
+ }
+
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ {
+ V2Set edges;
+ for (detail::FV2SMap::const_iterator i = data.face_split_edges.begin(); i != data.face_split_edges.end(); ++i) {
+ edges.insert((*i).second.begin(), (*i).second.end());
+ }
+
+ detail::VSet vertices;
+ for (V2Set::const_iterator i = edges.begin(); i != edges.end(); ++i) {
+ vertices.insert((*i).first);
+ vertices.insert((*i).second);
+ }
+
+ carve::line::PolylineSet intersection_graph;
+ intersection_graph.vertices.resize(vertices.size());
+ std::map<const carve::mesh::MeshSet<3>::vertex_t *, size_t> vmap;
+
+ size_t j = 0;
+ for (detail::VSet::const_iterator i = vertices.begin(); i != vertices.end(); ++i) {
+ intersection_graph.vertices[j].v = (*i)->v;
+ vmap[(*i)] = j++;
+ }
+
+ for (V2Set::const_iterator i = edges.begin(); i != edges.end(); ++i) {
+ size_t line[2];
+ line[0] = vmap[(*i).first];
+ line[1] = vmap[(*i).second];
+ intersection_graph.addPolyline(false, line, line + 2);
+ }
+
+ std::string out("/tmp/intersection-edges.ply");
+ ::writePLY(out, &intersection_graph, true);
+ }
+#endif
+}
+
+
+
+/**
+ *
+ *
+ * @param fll
+ */
+static void checkFaceLoopIntegrity(carve::csg::FaceLoopList &fll) {
+ static carve::TimingName FUNC_NAME("CSG::checkFaceLoopIntegrity()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ std::unordered_map<carve::csg::V2, int> counts;
+ for (carve::csg::FaceLoop *fl = fll.head; fl; fl = fl->next) {
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &loop = (fl->vertices);
+ carve::mesh::MeshSet<3>::vertex_t *v1, *v2;
+ v1 = loop[loop.size() - 1];
+ for (unsigned i = 0; i < loop.size(); ++i) {
+ v2 = loop[i];
+ if (v1 < v2) {
+ counts[std::make_pair(v1, v2)]++;
+ } else {
+ counts[std::make_pair(v2, v1)]--;
+ }
+ v1 = v2;
+ }
+ }
+ for (std::unordered_map<carve::csg::V2, int>::const_iterator
+ x = counts.begin(), xe = counts.end(); x != xe; ++x) {
+ if ((*x).second) {
+ std::cerr << "FACE LOOP ERROR: " << (*x).first.first << "-" << (*x).first.second << " : " << (*x).second << std::endl;
+ }
+ }
+}
+
+
+
+/**
+ *
+ *
+ * @param a
+ * @param b
+ * @param vclass
+ * @param eclass
+ * @param a_face_loops
+ * @param b_face_loops
+ * @param a_edge_count
+ * @param b_edge_count
+ * @param hooks
+ */
+void carve::csg::CSG::calc(carve::mesh::MeshSet<3> *a,
+ const face_rtree_t *a_rtree,
+ carve::mesh::MeshSet<3> *b,
+ const face_rtree_t *b_rtree,
+ carve::csg::VertexClassification &vclass,
+ carve::csg::EdgeClassification &eclass,
+ carve::csg::FaceLoopList &a_face_loops,
+ carve::csg::FaceLoopList &b_face_loops,
+ size_t &a_edge_count,
+ size_t &b_edge_count) {
+ detail::Data data;
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "init" << std::endl;
+#endif
+ init();
+
+ generateIntersections(a, a_rtree, b, b_rtree, data);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "intersectingFacePairs" << std::endl;
+#endif
+ intersectingFacePairs(data);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "emap:" << std::endl;
+ map_histogram(std::cerr, data.emap);
+ std::cerr << "fmap:" << std::endl;
+ map_histogram(std::cerr, data.fmap);
+ std::cerr << "fmap_rev:" << std::endl;
+ map_histogram(std::cerr, data.fmap_rev);
+#endif
+
+ // std::cerr << "removeCoplanarFaces" << std::endl;
+ // fp_intersections.removeCoplanarFaces();
+
+#if defined(CARVE_DEBUG) && defined(DEBUG_DRAW_OCTREE)
+ HOOK(drawOctree(a->octree););
+ HOOK(drawOctree(b->octree););
+#endif
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "divideIntersectedEdges" << std::endl;
+#endif
+ divideIntersectedEdges(data);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "makeFaceEdges" << std::endl;
+#endif
+ // makeFaceEdges(data.face_split_edges, eclass, data.fmap, data.fmap_rev);
+ makeFaceEdges(eclass, data);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "generateFaceLoops" << std::endl;
+#endif
+ a_edge_count = generateFaceLoops(a, data, a_face_loops);
+ b_edge_count = generateFaceLoops(b, data, b_face_loops);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "generated " << a_edge_count << " edges for poly a" << std::endl;
+ std::cerr << "generated " << b_edge_count << " edges for poly b" << std::endl;
+#endif
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ {
+ std::string out("/tmp/a_split.ply");
+ writePLY(out, faceLoopsToPolyhedron(a_face_loops), false);
+ }
+ {
+ std::string out("/tmp/b_split.ply");
+ writePLY(out, faceLoopsToPolyhedron(b_face_loops), false);
+ }
+#endif
+
+ checkFaceLoopIntegrity(a_face_loops);
+ checkFaceLoopIntegrity(b_face_loops);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "classify" << std::endl;
+#endif
+ // initialize some classification information.
+ for (std::vector<carve::mesh::MeshSet<3>::vertex_t>::iterator
+ i = a->vertex_storage.begin(), e = a->vertex_storage.end(); i != e; ++i) {
+ vclass[map_vertex(data.vmap, &(*i))].cls[0] = POINT_ON;
+ }
+ for (std::vector<carve::mesh::MeshSet<3>::vertex_t>::iterator
+ i = b->vertex_storage.begin(), e = b->vertex_storage.end(); i != e; ++i) {
+ vclass[map_vertex(data.vmap, &(*i))].cls[1] = POINT_ON;
+ }
+ for (VertexIntersections::const_iterator
+ i = vertex_intersections.begin(), e = vertex_intersections.end(); i != e; ++i) {
+ vclass[(*i).first] = PC2(POINT_ON, POINT_ON);
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << data.divided_edges.size() << " edges are split" << std::endl;
+ std::cerr << data.face_split_edges.size() << " faces are split" << std::endl;
+
+ std::cerr << "poly a: " << a_face_loops.size() << " face loops" << std::endl;
+ std::cerr << "poly b: " << b_face_loops.size() << " face loops" << std::endl;
+#endif
+
+ // std::cerr << "OCTREE A:" << std::endl;
+ // dump_octree_stats(a->octree.root, 0);
+ // std::cerr << "OCTREE B:" << std::endl;
+ // dump_octree_stats(b->octree.root, 0);
+}
+
+
+
+/**
+ *
+ *
+ * @param shared_edges
+ * @param result_list
+ * @param shared_edge_ptr
+ */
+void returnSharedEdges(carve::csg::V2Set &shared_edges,
+ std::list<carve::mesh::MeshSet<3> *> &result_list,
+ carve::csg::V2Set *shared_edge_ptr) {
+ // need to convert shared edges to point into result
+ typedef std::map<carve::geom3d::Vector, carve::mesh::MeshSet<3>::vertex_t *> remap_type;
+ remap_type remap;
+ for (std::list<carve::mesh::MeshSet<3> *>::iterator list_it =
+ result_list.begin(); list_it != result_list.end(); list_it++) {
+ carve::mesh::MeshSet<3> *result = *list_it;
+ if (result) {
+ for (std::vector<carve::mesh::MeshSet<3>::vertex_t>::iterator it =
+ result->vertex_storage.begin(); it != result->vertex_storage.end(); it++) {
+ remap.insert(std::make_pair((*it).v, &(*it)));
+ }
+ }
+ }
+ for (carve::csg::V2Set::iterator it = shared_edges.begin();
+ it != shared_edges.end(); it++) {
+ remap_type::iterator first_it = remap.find(((*it).first)->v);
+ remap_type::iterator second_it = remap.find(((*it).second)->v);
+ CARVE_ASSERT(first_it != remap.end() && second_it != remap.end());
+ shared_edge_ptr->insert(std::make_pair(first_it->second, second_it->second));
+ }
+}
+
+
+
+/**
+ *
+ *
+ * @param a
+ * @param b
+ * @param collector
+ * @param hooks
+ * @param shared_edges_ptr
+ * @param classify_type
+ *
+ * @return
+ */
+carve::mesh::MeshSet<3> *carve::csg::CSG::compute(carve::mesh::MeshSet<3> *a,
+ carve::mesh::MeshSet<3> *b,
+ carve::csg::CSG::Collector &collector,
+ carve::csg::V2Set *shared_edges_ptr,
+ CLASSIFY_TYPE classify_type) {
+ static carve::TimingName FUNC_NAME("CSG::compute");
+ carve::TimingBlock block(FUNC_NAME);
+
+ VertexClassification vclass;
+ EdgeClassification eclass;
+
+ FLGroupList a_loops_grouped;
+ FLGroupList b_loops_grouped;
+
+ FaceLoopList a_face_loops;
+ FaceLoopList b_face_loops;
+
+ size_t a_edge_count;
+ size_t b_edge_count;
+
+ face_rtree_t *a_rtree = face_rtree_t::construct_STR(a->faceBegin(), a->faceEnd(), 4, 4);
+ face_rtree_t *b_rtree = face_rtree_t::construct_STR(b->faceBegin(), b->faceEnd(), 4, 4);
+
+ {
+ static carve::TimingName FUNC_NAME("CSG::compute - calc()");
+ carve::TimingBlock block(FUNC_NAME);
+ calc(a, a_rtree, b, b_rtree, vclass, eclass,a_face_loops, b_face_loops, a_edge_count, b_edge_count);
+ }
+
+ detail::LoopEdges a_edge_map;
+ detail::LoopEdges b_edge_map;
+
+ {
+ static carve::TimingName FUNC_NAME("CSG::compute - makeEdgeMap()");
+ carve::TimingBlock block(FUNC_NAME);
+ makeEdgeMap(a_face_loops, a_edge_count, a_edge_map);
+ makeEdgeMap(b_face_loops, b_edge_count, b_edge_map);
+
+ }
+
+ {
+ static carve::TimingName FUNC_NAME("CSG::compute - sortFaceLoopLists()");
+ carve::TimingBlock block(FUNC_NAME);
+ a_edge_map.sortFaceLoopLists();
+ b_edge_map.sortFaceLoopLists();
+ }
+
+ V2Set shared_edges;
+
+ {
+ static carve::TimingName FUNC_NAME("CSG::compute - findSharedEdges()");
+ carve::TimingBlock block(FUNC_NAME);
+ findSharedEdges(a_edge_map, b_edge_map, shared_edges);
+ }
+
+ {
+ static carve::TimingName FUNC_NAME("CSG::compute - groupFaceLoops()");
+ carve::TimingBlock block(FUNC_NAME);
+ groupFaceLoops(a, a_face_loops, a_edge_map, shared_edges, a_loops_grouped);
+ groupFaceLoops(b, b_face_loops, b_edge_map, shared_edges, b_loops_grouped);
+#if defined(CARVE_DEBUG)
+ std::cerr << "*** a_loops_grouped.size(): " << a_loops_grouped.size() << std::endl;
+ std::cerr << "*** b_loops_grouped.size(): " << b_loops_grouped.size() << std::endl;
+#endif
+ }
+
+#if defined(CARVE_DEBUG) && defined(DEBUG_DRAW_GROUPS)
+ {
+ float n = 1.0 / (a_loops_grouped.size() + b_loops_grouped.size() + 1);
+ float H = 0.0, S = 1.0, V = 1.0;
+ float r, g, b;
+ for (FLGroupList::const_iterator i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ carve::colour::HSV2RGB(H, S, V, r, g, b); H += n;
+ drawFaceLoopList((*i).face_loops, r, g, b, 1.0, r * .5, g * .5, b * .5, 1.0, true);
+ }
+ for (FLGroupList::const_iterator i = b_loops_grouped.begin(); i != b_loops_grouped.end(); ++i) {
+ carve::colour::HSV2RGB(H, S, V, r, g, b); H += n;
+ drawFaceLoopList((*i).face_loops, r, g, b, 1.0, r * .5, g * .5, b * .5, 1.0, true);
+ }
+
+ for (FLGroupList::const_iterator i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ drawFaceLoopListWireframe((*i).face_loops);
+ }
+ for (FLGroupList::const_iterator i = b_loops_grouped.begin(); i != b_loops_grouped.end(); ++i) {
+ drawFaceLoopListWireframe((*i).face_loops);
+ }
+ }
+#endif
+
+ switch (classify_type) {
+ case CLASSIFY_EDGE:
+ classifyFaceGroupsEdge(shared_edges,
+ vclass,
+ a,
+ a_rtree,
+ a_loops_grouped,
+ a_edge_map,
+ b,
+ b_rtree,
+ b_loops_grouped,
+ b_edge_map,
+ collector);
+ break;
+ case CLASSIFY_NORMAL:
+ classifyFaceGroups(shared_edges,
+ vclass,
+ a,
+ a_rtree,
+ a_loops_grouped,
+ a_edge_map,
+ b,
+ b_rtree,
+ b_loops_grouped,
+ b_edge_map,
+ collector);
+ break;
+ }
+
+ carve::mesh::MeshSet<3> *result = collector.done(hooks);
+ if (result != NULL && shared_edges_ptr != NULL) {
+ std::list<carve::mesh::MeshSet<3> *> result_list;
+ result_list.push_back(result);
+ returnSharedEdges(shared_edges, result_list, shared_edges_ptr);
+ }
+ return result;
+}
+
+
+
+/**
+ *
+ *
+ * @param a
+ * @param b
+ * @param op
+ * @param hooks
+ * @param shared_edges
+ * @param classify_type
+ *
+ * @return
+ */
+carve::mesh::MeshSet<3> *carve::csg::CSG::compute(carve::mesh::MeshSet<3> *a,
+ carve::mesh::MeshSet<3> *b,
+ carve::csg::CSG::OP op,
+ carve::csg::V2Set *shared_edges,
+ CLASSIFY_TYPE classify_type) {
+ Collector *coll = makeCollector(op, a, b);
+ if (!coll) return NULL;
+
+ carve::mesh::MeshSet<3> *result = compute(a, b, *coll, shared_edges, classify_type);
+
+ delete coll;
+
+ return result;
+}
+
+
+
+/**
+ *
+ *
+ * @param closed
+ * @param open
+ * @param FaceClass
+ * @param result
+ * @param hooks
+ * @param shared_edges_ptr
+ *
+ * @return
+ */
+bool carve::csg::CSG::sliceAndClassify(carve::mesh::MeshSet<3> *closed,
+ carve::mesh::MeshSet<3> *open,
+ std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> > &result,
+ carve::csg::V2Set *shared_edges_ptr) {
+ if (!closed->isClosed()) return false;
+ carve::csg::VertexClassification vclass;
+ carve::csg::EdgeClassification eclass;
+
+ carve::csg::FLGroupList a_loops_grouped;
+ carve::csg::FLGroupList b_loops_grouped;
+
+ carve::csg::FaceLoopList a_face_loops;
+ carve::csg::FaceLoopList b_face_loops;
+
+ size_t a_edge_count;
+ size_t b_edge_count;
+
+ face_rtree_t *closed_rtree = face_rtree_t::construct_STR(closed->faceBegin(), closed->faceEnd(), 4, 4);
+ face_rtree_t *open_rtree = face_rtree_t::construct_STR(open->faceBegin(), open->faceEnd(), 4, 4);
+
+ calc(closed, closed_rtree, open, open_rtree, vclass, eclass,a_face_loops, b_face_loops, a_edge_count, b_edge_count);
+
+ detail::LoopEdges a_edge_map;
+ detail::LoopEdges b_edge_map;
+
+ makeEdgeMap(a_face_loops, a_edge_count, a_edge_map);
+ makeEdgeMap(b_face_loops, b_edge_count, b_edge_map);
+
+ carve::csg::V2Set shared_edges;
+
+ findSharedEdges(a_edge_map, b_edge_map, shared_edges);
+
+ groupFaceLoops(closed, a_face_loops, a_edge_map, shared_edges, a_loops_grouped);
+ groupFaceLoops(open, b_face_loops, b_edge_map, shared_edges, b_loops_grouped);
+
+ halfClassifyFaceGroups(shared_edges,
+ vclass,
+ closed,
+ closed_rtree,
+ a_loops_grouped,
+ a_edge_map,
+ open,
+ open_rtree,
+ b_loops_grouped,
+ b_edge_map,
+ result);
+
+ if (shared_edges_ptr != NULL) {
+ std::list<carve::mesh::MeshSet<3> *> result_list;
+ for (std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> >::iterator it = result.begin(); it != result.end(); it++) {
+ result_list.push_back(it->second);
+ }
+ returnSharedEdges(shared_edges, result_list, shared_edges_ptr);
+ }
+ return true;
+}
+
+
+
+/**
+ *
+ *
+ * @param a
+ * @param b
+ * @param a_sliced
+ * @param b_sliced
+ * @param hooks
+ * @param shared_edges_ptr
+ */
+void carve::csg::CSG::slice(carve::mesh::MeshSet<3> *a,
+ carve::mesh::MeshSet<3> *b,
+ std::list<carve::mesh::MeshSet<3> *> &a_sliced,
+ std::list<carve::mesh::MeshSet<3> *> &b_sliced,
+ carve::csg::V2Set *shared_edges_ptr) {
+ carve::csg::VertexClassification vclass;
+ carve::csg::EdgeClassification eclass;
+
+ carve::csg::FLGroupList a_loops_grouped;
+ carve::csg::FLGroupList b_loops_grouped;
+
+ carve::csg::FaceLoopList a_face_loops;
+ carve::csg::FaceLoopList b_face_loops;
+
+ size_t a_edge_count;
+ size_t b_edge_count;
+
+ face_rtree_t *a_rtree = face_rtree_t::construct_STR(a->faceBegin(), a->faceEnd(), 4, 4);
+ face_rtree_t *b_rtree = face_rtree_t::construct_STR(b->faceBegin(), b->faceEnd(), 4, 4);
+
+ calc(a, a_rtree, b, b_rtree, vclass, eclass,a_face_loops, b_face_loops, a_edge_count, b_edge_count);
+
+ detail::LoopEdges a_edge_map;
+ detail::LoopEdges b_edge_map;
+
+ makeEdgeMap(a_face_loops, a_edge_count, a_edge_map);
+ makeEdgeMap(b_face_loops, b_edge_count, b_edge_map);
+
+ carve::csg::V2Set shared_edges;
+
+ findSharedEdges(a_edge_map, b_edge_map, shared_edges);
+
+ groupFaceLoops(a, a_face_loops, a_edge_map, shared_edges, a_loops_grouped);
+ groupFaceLoops(b, b_face_loops, b_edge_map, shared_edges, b_loops_grouped);
+
+ for (carve::csg::FLGroupList::iterator
+ i = a_loops_grouped.begin(), e = a_loops_grouped.end();
+ i != e; ++i) {
+ Collector *all = makeCollector(ALL, a, b);
+ all->collect(&*i, hooks);
+ a_sliced.push_back(all->done(hooks));
+
+ delete all;
+ }
+
+ for (carve::csg::FLGroupList::iterator
+ i = b_loops_grouped.begin(), e = b_loops_grouped.end();
+ i != e; ++i) {
+ Collector *all = makeCollector(ALL, a, b);
+ all->collect(&*i, hooks);
+ b_sliced.push_back(all->done(hooks));
+
+ delete all;
+ }
+ if (shared_edges_ptr != NULL) {
+ std::list<carve::mesh::MeshSet<3> *> result_list;
+ result_list.insert(result_list.end(), a_sliced.begin(), a_sliced.end());
+ result_list.insert(result_list.end(), b_sliced.begin(), b_sliced.end());
+ returnSharedEdges(shared_edges, result_list, shared_edges_ptr);
+ }
+}
+
+
+
+/**
+ *
+ *
+ */
+void carve::csg::CSG::init() {
+ intersections.clear();
+ vertex_intersections.clear();
+ vertex_pool.reset();
+}
diff --git a/extern/carve/lib/intersect_classify_common.hpp b/extern/carve/lib/intersect_classify_common.hpp
new file mode 100644
index 00000000000..359c9af0e64
--- /dev/null
+++ b/extern/carve/lib/intersect_classify_common.hpp
@@ -0,0 +1,46 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+#include "intersect_common.hpp"
+
+template<typename T>
+static int is_same(const std::vector<T> &a,
+ const std::vector<T> &b) {
+ if (a.size() != b.size()) return false;
+
+ const size_t S = a.size();
+ size_t i, j, p;
+
+ for (p = 0; p < S; ++p) {
+ if (a[0] == b[p]) break;
+ }
+ if (p == S) return 0;
+
+ for (i = 1, j = p + 1; j < S; ++i, ++j) if (a[i] != b[j]) goto not_fwd;
+ for ( j = 0; i < S; ++i, ++j) if (a[i] != b[j]) goto not_fwd;
+ return +1;
+
+not_fwd:
+ for (i = 1, j = p - 1; j != (size_t)-1; ++i, --j) if (a[i] != b[j]) goto not_rev;
+ for ( j = S - 1; i < S; ++i, --j) if (a[i] != b[j]) goto not_rev;
+ return -1;
+
+not_rev:
+ return 0;
+}
diff --git a/extern/carve/lib/intersect_classify_common_impl.hpp b/extern/carve/lib/intersect_classify_common_impl.hpp
new file mode 100644
index 00000000000..3c141c81151
--- /dev/null
+++ b/extern/carve/lib/intersect_classify_common_impl.hpp
@@ -0,0 +1,362 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+namespace carve {
+ namespace csg {
+ typedef std::unordered_map<
+ carve::mesh::MeshSet<3>::vertex_t *,
+ std::list<FLGroupList::iterator> > GroupLookup;
+
+
+ inline bool isSameFwd(const V2Set &a, const V2Set &b) {
+ if (a.size() != b.size()) return false;
+ for (V2Set::const_iterator i = a.begin(), e = a.end(); i != e; ++i) {
+ if (b.find((*i)) == b.end()) return false;
+ }
+ return true;
+ }
+
+ inline bool isSameRev(const V2Set &a, const V2Set &b) {
+ if (a.size() != b.size()) return false;
+ for (V2Set::const_iterator i = a.begin(), e = a.end(); i != e; ++i) {
+ if (b.find(std::make_pair((*i).second, (*i).first)) == b.end()) return false;
+ }
+ return true;
+ }
+
+
+ static void performClassifySimpleOnFaceGroups(FLGroupList &a_groups,
+ FLGroupList &b_groups,
+ carve::mesh::MeshSet<3> *poly_a,
+ carve::mesh::MeshSet<3> *poly_b,
+ CSG::Collector &collector,
+ CSG::Hooks &hooks) {
+ // Simple ON faces groups are face groups that consist of a single
+ // face, and which have copy in both inputs. These are trivially ON.
+ // This has the side effect of short circuiting the case where the
+ // two inputs share geometry.
+ GroupLookup a_map, b_map;
+
+ // First, hash FaceLoopGroups with one FaceLoop based upon their
+ // minimum vertex pointer - this pointer must be shared between
+ // FaceLoops that this test catches.
+ for (FLGroupList::iterator i = a_groups.begin(); i != a_groups.end(); ++i) {
+ if ((*i).face_loops.size() != 1) continue;
+ FaceLoop *f = (*i).face_loops.head;
+ carve::mesh::MeshSet<3>::vertex_t *v = *std::min_element(f->vertices.begin(), f->vertices.end());
+ a_map[v].push_back(i);
+ }
+
+ for (FLGroupList::iterator i = b_groups.begin(); i != b_groups.end(); ++i) {
+ if ((*i).face_loops.size() != 1) continue;
+ FaceLoop *f = (*i).face_loops.head;
+ carve::mesh::MeshSet<3>::vertex_t *v = *std::min_element(f->vertices.begin(), f->vertices.end());
+ if (a_map.find(v) != a_map.end()) {
+ b_map[v].push_back(i);
+ }
+ }
+
+ // Then, iterate through the FaceLoops hashed in the first map, and
+ // find candidate matches in the second map.
+ for (GroupLookup::iterator j = b_map.begin(), je = b_map.end(); j != je; ++j) {
+ carve::mesh::MeshSet<3>::vertex_t *v = (*j).first;
+ GroupLookup::iterator i = a_map.find(v);
+
+ for (std::list<FLGroupList::iterator>::iterator bi = (*j).second.begin(), be = (*j).second.end(); bi != be;) {
+ FLGroupList::iterator b(*bi);
+ FaceLoop *f_b = (*b).face_loops.head;
+
+ // For each candidate match pair, see if their vertex pointers
+ // are the same, allowing for rotation and inversion.
+ for (std::list<FLGroupList::iterator>::iterator ai = (*i).second.begin(), ae = (*i).second.end(); ai != ae; ++ai) {
+ FLGroupList::iterator a(*ai);
+ FaceLoop *f_a = (*a).face_loops.head;
+
+ int s = is_same(f_a->vertices, f_b->vertices);
+ if (!s) continue;
+
+ // if they are ordered in the same direction, then they are
+ // oriented out, otherwise oriented in.
+ FaceClass fc = s == +1 ? FACE_ON_ORIENT_OUT : FACE_ON_ORIENT_IN;
+
+ (*a).classification.push_back(ClassificationInfo(NULL, fc));
+ (*b).classification.push_back(ClassificationInfo(NULL, fc));
+
+ collector.collect(&*a, hooks);
+ collector.collect(&*b, hooks);
+
+ a_groups.erase(a);
+ b_groups.erase(b);
+
+ (*i).second.erase(ai);
+ bi = (*j).second.erase(bi);
+
+ goto done;
+ }
+ ++bi;
+ done:;
+ }
+ }
+ }
+
+ template <typename CLASSIFIER>
+ static void performClassifyEasyFaceGroups(FLGroupList &group,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ VertexClassification &vclass,
+ const CLASSIFIER &classifier,
+ CSG::Collector &collector,
+ CSG::Hooks &hooks) {
+
+ for (FLGroupList::iterator i = group.begin(); i != group.end();) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "............group " << &(*i) << std::endl;
+#endif
+ FaceLoopGroup &grp = (*i);
+ FaceLoopList &curr = (grp.face_loops);
+ FaceClass fc;
+
+ for (FaceLoop *f = curr.head; f; f = f->next) {
+ for (size_t j = 0; j < f->vertices.size(); ++j) {
+ if (!classifier.pointOn(vclass, f, j)) {
+ PointClass pc = carve::mesh::classifyPoint(poly_a, poly_a_rtree, f->vertices[j]->v);
+ if (pc == POINT_IN || pc == POINT_OUT) {
+ classifier.explain(f, j, pc);
+ }
+ if (pc == POINT_IN) { fc = FACE_IN; goto accept; }
+ if (pc == POINT_OUT) { fc = FACE_OUT; goto accept; }
+ }
+ }
+ }
+ ++i;
+ continue;
+ accept: {
+ grp.classification.push_back(ClassificationInfo(NULL, fc));
+ collector.collect(&grp, hooks);
+ i = group.erase(i);
+ }
+ }
+ }
+
+
+ template <typename CLASSIFIER>
+ static void performClassifyHardFaceGroups(FLGroupList &group,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ const CLASSIFIER & /* classifier */,
+ CSG::Collector &collector,
+ CSG::Hooks &hooks) {
+ for (FLGroupList::iterator
+ i = group.begin(); i != group.end();) {
+ int n_in = 0, n_out = 0, n_on = 0;
+ FaceLoopGroup &grp = (*i);
+ FaceLoopList &curr = (grp.face_loops);
+ V2Set &perim = ((*i).perimeter);
+ FaceClass fc =FACE_UNCLASSIFIED;
+
+ for (FaceLoop *f = curr.head; f; f = f->next) {
+ carve::mesh::MeshSet<3>::vertex_t *v1, *v2;
+ v1 = f->vertices.back();
+ for (size_t j = 0; j < f->vertices.size(); ++j) {
+ v2 = f->vertices[j];
+ if (v1 < v2 && perim.find(std::make_pair(v1, v2)) == perim.end()) {
+ carve::geom3d::Vector c = (v1->v + v2->v) / 2.0;
+
+ PointClass pc = carve::mesh::classifyPoint(poly_a, poly_a_rtree, c);
+
+ switch (pc) {
+ case POINT_IN: n_in++; break;
+ case POINT_OUT: n_out++; break;
+ case POINT_ON: n_on++; break;
+ default: break; // does not happen.
+ }
+ }
+ v1 = v2;
+ }
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << ">>> n_in: " << n_in << " n_on: " << n_on << " n_out: " << n_out << std::endl;
+#endif
+
+ if (!n_in && !n_out) {
+ ++i;
+ continue;
+ }
+
+ if (n_in) fc = FACE_IN;
+ if (n_out) fc = FACE_OUT;
+
+ grp.classification.push_back(ClassificationInfo(NULL, fc));
+ collector.collect(&grp, hooks);
+ i = group.erase(i);
+ }
+ }
+
+ template <typename CLASSIFIER>
+ void performFaceLoopWork(carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ FLGroupList &b_loops_grouped,
+ const CLASSIFIER &classifier,
+ CSG::Collector &collector,
+ CSG::Hooks &hooks) {
+ for (FLGroupList::iterator i = b_loops_grouped.begin(), e = b_loops_grouped.end(); i != e;) {
+ FaceClass fc;
+
+ if (classifier.faceLoopSanityChecker(*i)) {
+ std::cerr << "UNEXPECTED face loop with size != 1." << std::endl;
+ ++i;
+ continue;
+ }
+ CARVE_ASSERT((*i).face_loops.size() == 1);
+
+ FaceLoop *fla = (*i).face_loops.head;
+
+ const carve::mesh::MeshSet<3>::face_t *f = (fla->orig_face);
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &loop = (fla->vertices);
+ std::vector<carve::geom2d::P2> proj;
+ proj.reserve(loop.size());
+ for (unsigned j = 0; j < loop.size(); ++j) {
+ proj.push_back(f->project(loop[j]->v));
+ }
+ carve::geom2d::P2 pv;
+ if (!carve::geom2d::pickContainedPoint(proj, pv)) {
+ CARVE_FAIL("Failed");
+ }
+ carve::geom3d::Vector v = f->unproject(pv, f->plane);
+
+ const carve::mesh::MeshSet<3>::face_t *hit_face;
+ PointClass pc = carve::mesh::classifyPoint(poly_a, poly_a_rtree, v, false, NULL, &hit_face);
+ switch (pc) {
+ case POINT_IN: fc = FACE_IN; break;
+ case POINT_OUT: fc = FACE_OUT; break;
+ case POINT_ON: {
+ double d = carve::geom::distance(hit_face->plane, v);
+#if defined(CARVE_DEBUG)
+ std::cerr << "d = " << d << std::endl;
+#endif
+ fc = d < 0 ? FACE_IN : FACE_OUT;
+ break;
+ }
+ default:
+ CARVE_FAIL("unhandled switch case -- should not happen");
+ }
+#if defined(CARVE_DEBUG)
+ std::cerr << "CLASS: " << (fc == FACE_IN ? "FACE_IN" : "FACE_OUT" ) << std::endl;
+#endif
+
+ (*i).classification.push_back(ClassificationInfo(NULL, fc));
+ collector.collect(&*i, hooks);
+ i = b_loops_grouped.erase(i);
+ }
+
+ }
+
+ template <typename CLASSIFIER>
+ void performClassifyFaceGroups(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped,
+ VertexClassification &vclass,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree,
+ const CLASSIFIER &classifier,
+ CSG::Collector &collector,
+ CSG::Hooks &hooks) {
+
+ classifier.classifySimple(a_loops_grouped, b_loops_grouped, vclass, poly_a, poly_b);
+ classifier.classifyEasy(a_loops_grouped, b_loops_grouped, vclass, poly_a, poly_a_rtree, poly_b, poly_b_rtree);
+ classifier.classifyHard(a_loops_grouped, b_loops_grouped, vclass, poly_a, poly_a_rtree, poly_b, poly_b_rtree);
+
+ {
+ GroupLookup a_map;
+ FLGroupList::iterator i, j;
+ FaceClass fc;
+
+ for (i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ V2Set::iterator it_end = (*i).perimeter.end();
+ V2Set::iterator it_begin = (*i).perimeter.begin();
+
+ if(it_begin != it_end) {
+ a_map[std::min_element(it_begin, it_end)->first].push_back(i);
+ }
+ }
+
+ for (i = b_loops_grouped.begin(); i != b_loops_grouped.end();) {
+ GroupLookup::iterator a = a_map.end();
+
+ V2Set::iterator it_end = (*i).perimeter.end();
+ V2Set::iterator it_begin = (*i).perimeter.begin();
+
+ if(it_begin != it_end) {
+ a = a_map.find(std::min_element(it_begin, it_end)->first);
+ }
+
+ if (a == a_map.end()) { ++i; continue; }
+
+ for (std::list<FLGroupList::iterator>::iterator ji = (*a).second.begin(), je = (*a).second.end(); ji != je; ++ji) {
+ j = (*ji);
+ if (isSameFwd((*i).perimeter, (*j).perimeter)) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "SAME FWD PAIR" << std::endl;
+#endif
+ fc = FACE_ON_ORIENT_OUT;
+ goto face_pair;
+ } else if (isSameRev((*i).perimeter, (*j).perimeter)) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "SAME REV PAIR" << std::endl;
+#endif
+ fc = FACE_ON_ORIENT_IN;
+ goto face_pair;
+ }
+ }
+ ++i;
+ continue;
+
+ face_pair: {
+ V2Set::iterator it_end = (*j).perimeter.end();
+ V2Set::iterator it_begin = (*j).perimeter.begin();
+
+ if(it_begin != it_end) {
+ a_map[std::min_element(it_begin, it_end)->first].remove(j);
+ }
+
+ (*i).classification.push_back(ClassificationInfo(NULL, fc));
+ (*j).classification.push_back(ClassificationInfo(NULL, fc));
+
+ collector.collect(&*i, hooks);
+ collector.collect(&*j, hooks);
+
+ j = a_loops_grouped.erase(j);
+ i = b_loops_grouped.erase(i);
+ }
+ }
+ }
+
+ // XXX: this may leave some face groups that are IN or OUT, and
+ // consist of a single face loop.
+ classifier.postRemovalCheck(a_loops_grouped, b_loops_grouped);
+
+ classifier.faceLoopWork(a_loops_grouped, b_loops_grouped, vclass, poly_a, poly_a_rtree, poly_b, poly_b_rtree);
+
+ classifier.finish(a_loops_grouped, b_loops_grouped);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/intersect_classify_edge.cpp b/extern/carve/lib/intersect_classify_edge.cpp
new file mode 100644
index 00000000000..d2c1fdd7c24
--- /dev/null
+++ b/extern/carve/lib/intersect_classify_edge.cpp
@@ -0,0 +1,820 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#if defined(HAVE_STDINT_H)
+#include <stdint.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/debug_hooks.hpp>
+#include <carve/colour.hpp>
+
+#include <list>
+#include <set>
+#include <iostream>
+
+#include <algorithm>
+
+#include "csg_detail.hpp"
+
+#include "intersect_common.hpp"
+#include "intersect_classify_common.hpp"
+
+#define ANGLE_EPSILON 1e-6
+
+namespace carve {
+ namespace csg {
+
+ namespace {
+
+ inline bool single_bit_set(uint32_t v) {
+ v &= v - 1;
+ return v == 0;
+ }
+
+ struct EdgeSurface {
+ FaceLoop *fwd;
+ double fwd_ang;
+ FaceLoop *rev;
+ double rev_ang;
+
+ EdgeSurface() : fwd(NULL), fwd_ang(0.0), rev(NULL), rev_ang(0.0) { }
+ };
+
+
+ typedef std::map<const carve::mesh::MeshSet<3>::mesh_t *, EdgeSurface> GrpEdgeSurfMap;
+
+ typedef std::pair<FaceLoopGroup *, const carve::mesh::MeshSet<3>::mesh_t *> ClassificationKey;
+
+ struct ClassificationData {
+ uint32_t class_bits : 5;
+ uint32_t class_decided : 1;
+
+ int c[5];
+
+ ClassificationData() {
+ class_bits = FACE_ANY_BIT;
+ class_decided = 0;
+ memset(c, 0, sizeof(c));
+ }
+ };
+
+ struct hash_classification {
+ size_t operator()(const ClassificationKey &f) const {
+ return (size_t)f.first ^ (size_t)f.second;
+ }
+ };
+
+ typedef std::unordered_map<ClassificationKey, ClassificationData, hash_classification> Classification;
+
+
+ struct hash_group_ptr {
+ size_t operator()(const FaceLoopGroup * const &f) const {
+ return (size_t)f;
+ }
+ };
+
+
+ typedef std::pair<size_t, const carve::mesh::MeshSet<3>::vertex_t *> PerimKey;
+
+ struct hash_perim_key {
+ size_t operator()(const PerimKey &v) const {
+ return (size_t)v.first ^ (size_t)v.second;
+ }
+ };
+
+ typedef std::unordered_map<std::pair<size_t, const carve::mesh::MeshSet<3>::vertex_t *>,
+ std::unordered_set<FaceLoopGroup *, hash_group_ptr>,
+ hash_perim_key> PerimMap;
+
+
+
+ struct hash_group_pair {
+ size_t operator()(const std::pair<int, const FaceLoopGroup *> &v) const {
+ return (size_t)v.first ^ (size_t)v.second;
+ }
+ };
+
+ typedef std::unordered_map<const FaceLoopGroup *,
+ std::unordered_set<std::pair<int, const FaceLoopGroup *>, hash_group_pair>,
+ hash_group_ptr> CandidateOnMap;
+
+
+
+ static inline void remove(carve::mesh::MeshSet<3>::vertex_t *a,
+ carve::mesh::MeshSet<3>::vertex_t *b,
+ carve::csg::detail::VVSMap &shared_edge_graph) {
+ carve::csg::detail::VVSMap::iterator i = shared_edge_graph.find(a);
+ CARVE_ASSERT(i != shared_edge_graph.end());
+ size_t n = (*i).second.erase(b);
+ CARVE_ASSERT(n == 1);
+ if ((*i).second.size() == 0) shared_edge_graph.erase(i);
+ }
+
+
+
+ static inline void remove(V2 edge,
+ carve::csg::detail::VVSMap &shared_edge_graph) {
+ remove(edge.first, edge.second, shared_edge_graph);
+ remove(edge.second, edge.first, shared_edge_graph);
+ }
+
+
+
+ static void walkGraphSegment(carve::csg::detail::VVSMap &shared_edge_graph,
+ const carve::csg::detail::VSet &branch_points,
+ V2 initial,
+ const carve::csg::detail::LoopEdges & /* a_edge_map */,
+ const carve::csg::detail::LoopEdges & /* b_edge_map */,
+ std::list<V2> &out) {
+ V2 curr;
+ curr = initial;
+ bool closed = false;
+
+ out.clear();
+ for (;;) {
+ // walk forward.
+ out.push_back(curr);
+ remove(curr, shared_edge_graph);
+
+ if (curr.second == initial.first) { closed = true; break; }
+ if (branch_points.find(curr.second) != branch_points.end()) break;
+ carve::csg::detail::VVSMap::const_iterator o = shared_edge_graph.find(curr.second);
+ if (o == shared_edge_graph.end()) break;
+ CARVE_ASSERT((*o).second.size() == 1);
+ curr.first = curr.second;
+ curr.second = *((*o).second.begin());
+ // test here that the set of incident groups hasn't changed.
+ }
+
+ if (!closed) {
+ // walk backward.
+ curr = initial;
+ for (;;) {
+ if (branch_points.find(curr.first) != branch_points.end()) break;
+ carve::csg::detail::VVSMap::const_iterator o = shared_edge_graph.find(curr.first);
+ if (o == shared_edge_graph.end()) break;
+ curr.second = curr.first;
+ curr.first = *((*o).second.begin());
+ // test here that the set of incident groups hasn't changed.
+
+ out.push_front(curr);
+ remove(curr, shared_edge_graph);
+ }
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "intersection segment: " << out.size() << " edges." << std::endl;
+#if defined(DEBUG_DRAW_INTERSECTION_LINE)
+ {
+ static float H = 0.0, S = 1.0, V = 1.0;
+ float r, g, b;
+
+ H = fmod((H + .37), 1.0);
+ S = 0.5 + fmod((S - 0.37), 0.5);
+ carve::colour::HSV2RGB(H, S, V, r, g, b);
+
+ if (out.size() > 1) {
+ drawEdges(out.begin(), ++out.begin(),
+ 0.0, 0.0, 0.0, 1.0,
+ r, g, b, 1.0,
+ 3.0);
+ drawEdges(++out.begin(), --out.end(),
+ r, g, b, 1.0,
+ r, g, b, 1.0,
+ 3.0);
+ drawEdges(--out.end(), out.end(),
+ r, g, b, 1.0,
+ 1.0, 1.0, 1.0, 1.0,
+ 3.0);
+ } else {
+ drawEdges(out.begin(), out.end(),
+ r, g, b, 1.0,
+ r, g, b, 1.0,
+ 3.0);
+ }
+ }
+#endif
+#endif
+ }
+
+
+
+ static carve::geom3d::Vector perpendicular(const carve::geom3d::Vector &v) {
+ if (fabs(v.x) < fabs(v.y)) {
+ if (fabs(v.x) < fabs(v.z)) {
+ return cross(v, carve::geom::VECTOR(1.0, 0.0, 0.0)).normalized();
+ } else {
+ return cross(v, carve::geom::VECTOR(0.0, 0.0, 1.0)).normalized();
+ }
+ } else {
+ if (fabs(v.y) < fabs(v.z)) {
+ return cross(v, carve::geom::VECTOR(0.0, 1.0, 0.0)).normalized();
+ } else {
+ return cross(v, carve::geom::VECTOR(1.0, 0.0, 1.0)).normalized();
+ }
+ }
+ }
+
+
+
+ static void classifyAB(const GrpEdgeSurfMap &a_edge_surfaces,
+ const GrpEdgeSurfMap &b_edge_surfaces,
+ Classification &classifications) {
+ // two faces in the a surface
+ for (GrpEdgeSurfMap::const_iterator ib = b_edge_surfaces.begin(), eb = b_edge_surfaces.end(); ib != eb; ++ib) {
+
+ if ((*ib).second.fwd) {
+ FaceLoopGroup *b_grp = ((*ib).second.fwd->group);
+
+ for (GrpEdgeSurfMap::const_iterator ia = a_edge_surfaces.begin(), ea = a_edge_surfaces.end(); ia != ea; ++ia) {
+
+ if ((*ia).second.fwd && (*ia).second.rev) {
+ const carve::mesh::MeshSet<3>::mesh_t *a_gid = (*ia).first;
+
+ ClassificationData &data = classifications[std::make_pair(b_grp, a_gid)];
+ if (data.class_decided) continue;
+
+ // an angle between (*ia).fwd_ang and (*ia).rev_ang is outside/above group a.
+ FaceClass fc;
+
+ if (fabs((*ib).second.fwd_ang - (*ia).second.fwd_ang) < ANGLE_EPSILON) {
+ fc = FACE_ON_ORIENT_OUT;
+ } else if (fabs((*ib).second.fwd_ang - (*ia).second.rev_ang) < ANGLE_EPSILON) {
+ fc = FACE_ON_ORIENT_IN;
+ } else {
+ double a1 = (*ia).second.fwd_ang;
+ double a2 = (*ia).second.rev_ang;
+ if (a1 < a2) {
+ if (a1 < (*ib).second.fwd_ang && (*ib).second.fwd_ang < a2) {
+ fc = FACE_IN;
+ } else {
+ fc = FACE_OUT;
+ }
+ } else {
+ if (a2 < (*ib).second.fwd_ang && (*ib).second.fwd_ang < a1) {
+ fc = FACE_OUT;
+ } else {
+ fc = FACE_IN;
+ }
+ }
+ }
+ data.c[fc + 2]++;
+ }
+ }
+ }
+
+ if ((*ib).second.rev) {
+ FaceLoopGroup *b_grp = ((*ib).second.rev->group);
+
+ for (GrpEdgeSurfMap::const_iterator ia = a_edge_surfaces.begin(), ea = a_edge_surfaces.end(); ia != ea; ++ia) {
+
+ if ((*ia).second.fwd && (*ia).second.rev) {
+ const carve::mesh::MeshSet<3>::mesh_t *a_gid = (*ia).first;
+
+ ClassificationData &data = (classifications[std::make_pair(b_grp, a_gid)]);
+ if (data.class_decided) continue;
+
+ // an angle between (*ia).fwd_ang and (*ia).rev_ang is outside/above group a.
+ FaceClass fc;
+
+ if (fabs((*ib).second.rev_ang - (*ia).second.fwd_ang) < ANGLE_EPSILON) {
+ fc = FACE_ON_ORIENT_IN;
+ } else if (fabs((*ib).second.rev_ang - (*ia).second.rev_ang) < ANGLE_EPSILON) {
+ fc = FACE_ON_ORIENT_OUT;
+ } else {
+ double a1 = (*ia).second.fwd_ang;
+ double a2 = (*ia).second.rev_ang;
+ if (a1 < a2) {
+ if (a1 < (*ib).second.rev_ang && (*ib).second.rev_ang < a2) {
+ fc = FACE_IN;
+ } else {
+ fc = FACE_OUT;
+ }
+ } else {
+ if (a2 < (*ib).second.rev_ang && (*ib).second.rev_ang < a1) {
+ fc = FACE_OUT;
+ } else {
+ fc = FACE_IN;
+ }
+ }
+ }
+ data.c[fc + 2]++;
+ }
+ }
+ }
+ }
+ }
+
+
+ static bool processForwardEdgeSurfaces(GrpEdgeSurfMap &edge_surfaces,
+ const std::list<FaceLoop *> &fwd,
+ const carve::geom3d::Vector &edge_vector,
+ const carve::geom3d::Vector &base_vector) {
+ for (std::list<FaceLoop *>::const_iterator i = fwd.begin(), e = fwd.end(); i != e; ++i) {
+ EdgeSurface &es = (edge_surfaces[(*i)->orig_face->mesh]);
+ if (es.fwd != NULL) return false;
+ es.fwd = (*i);
+ es.fwd_ang = carve::geom3d::antiClockwiseAngle((*i)->orig_face->plane.N, base_vector, edge_vector);
+ }
+ return true;
+ }
+
+ static bool processReverseEdgeSurfaces(GrpEdgeSurfMap &edge_surfaces,
+ const std::list<FaceLoop *> &rev,
+ const carve::geom3d::Vector &edge_vector,
+ const carve::geom3d::Vector &base_vector) {
+ for (std::list<FaceLoop *>::const_iterator i = rev.begin(), e = rev.end(); i != e; ++i) {
+ EdgeSurface &es = (edge_surfaces[(*i)->orig_face->mesh]);
+ if (es.rev != NULL) return false;
+ es.rev = (*i);
+ es.rev_ang = carve::geom3d::antiClockwiseAngle(-(*i)->orig_face->plane.N, base_vector, edge_vector);
+ }
+ return true;
+ }
+
+
+
+ static void processOneEdge(const V2 &edge,
+ const carve::csg::detail::LoopEdges &a_edge_map,
+ const carve::csg::detail::LoopEdges &b_edge_map,
+ Classification &a_classification,
+ Classification &b_classification) {
+ GrpEdgeSurfMap a_edge_surfaces;
+ GrpEdgeSurfMap b_edge_surfaces;
+
+ carve::geom3d::Vector edge_vector = (edge.second->v - edge.first->v).normalized();
+ carve::geom3d::Vector base_vector = perpendicular(edge_vector);
+
+ carve::csg::detail::LoopEdges::const_iterator ae_f = a_edge_map.find(edge);
+ carve::csg::detail::LoopEdges::const_iterator ae_r = a_edge_map.find(flip(edge));
+ CARVE_ASSERT(ae_f != a_edge_map.end() || ae_r != a_edge_map.end());
+
+ carve::csg::detail::LoopEdges::const_iterator be_f = b_edge_map.find(edge);
+ carve::csg::detail::LoopEdges::const_iterator be_r = b_edge_map.find(flip(edge));
+ CARVE_ASSERT(be_f != b_edge_map.end() || be_r != b_edge_map.end());
+
+ if (ae_f != a_edge_map.end() && !processForwardEdgeSurfaces(a_edge_surfaces, (*ae_f).second, edge_vector, base_vector)) return;
+ if (ae_r != a_edge_map.end() && !processReverseEdgeSurfaces(a_edge_surfaces, (*ae_r).second, edge_vector, base_vector)) return;
+ if (be_f != b_edge_map.end() && !processForwardEdgeSurfaces(b_edge_surfaces, (*be_f).second, edge_vector, base_vector)) return;
+ if (be_r != b_edge_map.end() && !processReverseEdgeSurfaces(b_edge_surfaces, (*be_r).second, edge_vector, base_vector)) return;
+
+ classifyAB(a_edge_surfaces, b_edge_surfaces, b_classification);
+ classifyAB(b_edge_surfaces, a_edge_surfaces, a_classification);
+ }
+
+
+
+ static void traceIntersectionGraph(const V2Set &shared_edges,
+ const FLGroupList & /* a_loops_grouped */,
+ const FLGroupList & /* b_loops_grouped */,
+ const carve::csg::detail::LoopEdges &a_edge_map,
+ const carve::csg::detail::LoopEdges &b_edge_map) {
+
+ carve::csg::detail::VVSMap shared_edge_graph;
+ carve::csg::detail::VSet branch_points;
+
+ // first, make the intersection graph.
+ for (V2Set::const_iterator i = shared_edges.begin(); i != shared_edges.end(); ++i) {
+ const V2Set::key_type &edge = (*i);
+ carve::csg::detail::VVSMap::mapped_type &out = (shared_edge_graph[edge.first]);
+ out.insert(edge.second);
+ if (out.size() == 3) branch_points.insert(edge.first);
+
+#if defined(CARVE_DEBUG) && defined(DEBUG_DRAW_INTERSECTION_LINE)
+ HOOK(drawEdge(edge.first, edge.second, 1, 1, 1, 1, 1, 1, 1, 1, 1.0););
+#endif
+ }
+#if defined(CARVE_DEBUG)
+ std::cerr << "graph nodes: " << shared_edge_graph.size() << std::endl;
+ std::cerr << "branch nodes: " << branch_points.size() << std::endl;
+#endif
+
+ std::list<V2> out;
+ while (shared_edge_graph.size()) {
+ carve::csg::detail::VVSMap::iterator i = shared_edge_graph.begin();
+ carve::mesh::MeshSet<3>::vertex_t *v1 = (*i).first;
+ carve::mesh::MeshSet<3>::vertex_t *v2 = *((*i).second.begin());
+ walkGraphSegment(shared_edge_graph, branch_points, V2(v1, v2), a_edge_map, b_edge_map, out);
+ }
+ }
+
+ void hashByPerimeter(FLGroupList &grp, PerimMap &perim_map) {
+ for (FLGroupList::iterator i = grp.begin(); i != grp.end(); ++i) {
+ size_t perim_size = (*i).perimeter.size();
+ // can be the case for non intersecting groups. (and groups that intersect at a point?)
+ if (!perim_size) continue;
+ const carve::mesh::MeshSet<3>::vertex_t *perim_min = std::min_element((*i).perimeter.begin(), (*i).perimeter.end())->first;
+ perim_map[std::make_pair(perim_size, perim_min)].insert(&(*i));
+ }
+ }
+
+
+
+ bool same_edge_set_fwd(const V2Set &a, const V2Set &b) {
+ if (a.size() != b.size()) return false;
+ for (V2Set::const_iterator i = a.begin(), e = a.end(); i != e; ++i) {
+ if (b.find(*i) == b.end()) return false;
+ }
+ return true;
+ }
+
+
+
+ bool same_edge_set_rev(const V2Set &a, const V2Set &b) {
+ if (a.size() != b.size()) return false;
+ for (V2Set::const_iterator i = a.begin(), e = a.end(); i != e; ++i) {
+ if (b.find(std::make_pair((*i).second, (*i).first)) == b.end()) return false;
+ }
+ return true;
+ }
+
+
+
+ int same_edge_set(const V2Set &a, const V2Set &b) {
+ if (same_edge_set_fwd(a, b)) return +1;
+ if (same_edge_set_rev(a, b)) return -1;
+ return 0;
+ }
+
+
+
+ void generateCandidateOnSets(FLGroupList &a_grp,
+ FLGroupList &b_grp,
+ CandidateOnMap &candidate_on_map,
+ Classification &a_classification,
+ Classification &b_classification) {
+ PerimMap a_grp_by_perim, b_grp_by_perim;
+
+ hashByPerimeter(a_grp, a_grp_by_perim);
+ hashByPerimeter(b_grp, b_grp_by_perim);
+
+ for (PerimMap::iterator i = a_grp_by_perim.begin(), ie = a_grp_by_perim.end(); i != ie; ++i) {
+ PerimMap::iterator j = b_grp_by_perim.find((*i).first);
+ if (j == b_grp_by_perim.end()) continue;
+
+ for (PerimMap::mapped_type::iterator a = (*i).second.begin(), ae = (*i).second.end(); a != ae; ++a) {
+ for (PerimMap::mapped_type::iterator b = (*j).second.begin(), be = (*j).second.end(); b != be; ++b) {
+ int x = same_edge_set((*a)->perimeter, (*b)->perimeter);
+ if (!x) continue;
+ candidate_on_map[(*a)].insert(std::make_pair(x, (*b)));
+ if ((*a)->face_loops.count == 1 && (*b)->face_loops.count == 1) {
+ uint32_t fcb = x == +1 ? FACE_ON_ORIENT_OUT_BIT : FACE_ON_ORIENT_IN_BIT;
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "paired groups: " << (*a) << ", " << (*b) << std::endl;
+#endif
+
+ ClassificationData &a_data = a_classification[std::make_pair((*a), (*b)->face_loops.head->orig_face->mesh)];
+ a_data.class_bits = fcb; a_data.class_decided = 1;
+
+ ClassificationData &b_data = b_classification[std::make_pair((*b), (*a)->face_loops.head->orig_face->mesh)];
+ b_data.class_bits = fcb; b_data.class_decided = 1;
+ }
+ }
+ }
+ }
+ }
+
+ }
+
+
+ static inline std::string CODE(const FaceLoopGroup *grp) {
+ const std::list<ClassificationInfo> &cinfo = (grp->classification);
+ if (cinfo.size() == 0) {
+ return "?";
+ }
+
+ FaceClass fc = FACE_UNCLASSIFIED;
+
+ for (std::list<ClassificationInfo>::const_iterator i = grp->classification.begin(), e = grp->classification.end(); i != e; ++i) {
+ if ((*i).intersected_mesh == NULL) {
+ // classifier only returns global info
+ fc = (*i).classification;
+ break;
+ }
+
+ if ((*i).intersectedMeshIsClosed()) {
+ if ((*i).classification == FACE_UNCLASSIFIED) continue;
+ if (fc == FACE_UNCLASSIFIED) {
+ fc = (*i).classification;
+ } else if (fc != (*i).classification) {
+ return "X";
+ }
+ }
+ }
+ if (fc == FACE_IN) return "I";
+ if (fc == FACE_ON_ORIENT_IN) return "<";
+ if (fc == FACE_ON_ORIENT_OUT) return ">";
+ if (fc == FACE_OUT) return "O";
+ return "*";
+ }
+
+ void CSG::classifyFaceGroupsEdge(const V2Set &shared_edges,
+ VertexClassification &vclass,
+ carve::mesh::MeshSet<3> *poly_a,
+ const face_rtree_t *poly_a_rtree,
+ FLGroupList &a_loops_grouped,
+ const detail::LoopEdges &a_edge_map,
+ carve::mesh::MeshSet<3> *poly_b,
+ const face_rtree_t *poly_b_rtree,
+ FLGroupList &b_loops_grouped,
+ const detail::LoopEdges &b_edge_map,
+ CSG::Collector &collector) {
+ Classification a_classification;
+ Classification b_classification;
+
+ CandidateOnMap candidate_on_map;
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "a input loops (" << a_loops_grouped.size() << "): ";
+ for (FLGroupList::iterator i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ std::cerr << &*i << " ";
+ }
+ std::cerr << std::endl;
+ std::cerr << "b input loops (" << b_loops_grouped.size() << "): ";
+ for (FLGroupList::iterator i = b_loops_grouped.begin(); i != b_loops_grouped.end(); ++i) {
+ std::cerr << &*i << " ";
+ }
+ std::cerr << std::endl;
+#endif
+
+#if defined(DISPLAY_GRP_GRAPH)
+ // XXX: this is hopelessly inefficient.
+ std::map<const FaceLoopGroup *, std::set<const FaceLoopGroup *> > grp_graph_fwd, grp_graph_rev;
+ {
+ for (FLGroupList::iterator i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ FaceLoopGroup *src = &(*i);
+ for (V2Set::const_iterator k = src->perimeter.begin(); k != src->perimeter.end(); ++k) {
+ V2 fwd = *k;
+ V2 rev = std::make_pair(fwd.second, fwd.first);
+ for (FLGroupList::iterator j = a_loops_grouped.begin(); j != a_loops_grouped.end(); ++j) {
+ FaceLoopGroup *tgt = &(*j);
+ if (tgt->perimeter.find(fwd) != tgt->perimeter.end()) { grp_graph_fwd[src].insert(tgt); }
+ if (tgt->perimeter.find(rev) != tgt->perimeter.end()) { grp_graph_rev[src].insert(tgt); }
+ }
+ for (FLGroupList::iterator j = b_loops_grouped.begin(); j != b_loops_grouped.end(); ++j) {
+ FaceLoopGroup *tgt = &(*j);
+ if (tgt->perimeter.find(fwd) != tgt->perimeter.end()) { grp_graph_fwd[src].insert(tgt); }
+ if (tgt->perimeter.find(rev) != tgt->perimeter.end()) { grp_graph_rev[src].insert(tgt); }
+ }
+ }
+ }
+ for (FLGroupList::iterator i = b_loops_grouped.begin(); i != b_loops_grouped.end(); ++i) {
+ FaceLoopGroup *src = &(*i);
+ for (V2Set::const_iterator k = src->perimeter.begin(); k != src->perimeter.end(); ++k) {
+ V2 fwd = *k;
+ V2 rev = std::make_pair(fwd.second, fwd.first);
+ for (FLGroupList::iterator j = a_loops_grouped.begin(); j != a_loops_grouped.end(); ++j) {
+ FaceLoopGroup *tgt = &(*j);
+ if (tgt->perimeter.find(fwd) != tgt->perimeter.end()) { grp_graph_fwd[src].insert(tgt); }
+ if (tgt->perimeter.find(rev) != tgt->perimeter.end()) { grp_graph_rev[src].insert(tgt); }
+ }
+ for (FLGroupList::iterator j = b_loops_grouped.begin(); j != b_loops_grouped.end(); ++j) {
+ FaceLoopGroup *tgt = &(*j);
+ if (tgt->perimeter.find(fwd) != tgt->perimeter.end()) { grp_graph_fwd[src].insert(tgt); }
+ if (tgt->perimeter.find(rev) != tgt->perimeter.end()) { grp_graph_rev[src].insert(tgt); }
+ }
+ }
+ }
+ }
+#endif
+
+ generateCandidateOnSets(a_loops_grouped, b_loops_grouped, candidate_on_map, a_classification, b_classification);
+
+
+ for (V2Set::const_iterator i = shared_edges.begin(); i != shared_edges.end(); ++i) {
+ const V2 &edge = (*i);
+ processOneEdge(edge, a_edge_map, b_edge_map, a_classification, b_classification);
+ }
+
+
+ for (Classification::iterator i = a_classification.begin(), e = a_classification.end(); i != e; ++i) {
+ if (!(*i).second.class_decided) {
+ if ((*i).second.c[FACE_IN + 2] == 0) (*i).second.class_bits &= ~ FACE_IN_BIT;
+ if ((*i).second.c[FACE_ON_ORIENT_IN + 2] == 0) (*i).second.class_bits &= ~ FACE_ON_ORIENT_IN_BIT;
+ if ((*i).second.c[FACE_ON_ORIENT_OUT + 2] == 0) (*i).second.class_bits &= ~ FACE_ON_ORIENT_OUT_BIT;
+ if ((*i).second.c[FACE_OUT + 2] == 0) (*i).second.class_bits &= ~ FACE_OUT_BIT;
+
+ // XXX: this is the wrong thing to do. It's intended just as a test.
+ if ((*i).second.class_bits == (FACE_IN_BIT | FACE_OUT_BIT)) {
+ if ((*i).second.c[FACE_OUT + 2] > (*i).second.c[FACE_IN + 2]) {
+ (*i).second.class_bits = FACE_OUT_BIT;
+ } else {
+ (*i).second.class_bits = FACE_IN_BIT;
+ }
+ }
+
+ if (single_bit_set((*i).second.class_bits)) (*i).second.class_decided = 1;
+ }
+ }
+
+ for (Classification::iterator i = b_classification.begin(), e = b_classification.end(); i != e; ++i) {
+ if (!(*i).second.class_decided) {
+ if ((*i).second.c[FACE_IN + 2] == 0) (*i).second.class_bits &= ~ FACE_IN_BIT;
+ if ((*i).second.c[FACE_ON_ORIENT_IN + 2] == 0) (*i).second.class_bits &= ~ FACE_ON_ORIENT_IN_BIT;
+ if ((*i).second.c[FACE_ON_ORIENT_OUT + 2] == 0) (*i).second.class_bits &= ~ FACE_ON_ORIENT_OUT_BIT;
+ if ((*i).second.c[FACE_OUT + 2] == 0) (*i).second.class_bits &= ~ FACE_OUT_BIT;
+
+ // XXX: this is the wrong thing to do. It's intended just as a test.
+ if ((*i).second.class_bits == (FACE_IN_BIT | FACE_OUT_BIT)) {
+ if ((*i).second.c[FACE_OUT + 2] > (*i).second.c[FACE_IN + 2]) {
+ (*i).second.class_bits = FACE_OUT_BIT;
+ } else {
+ (*i).second.class_bits = FACE_IN_BIT;
+ }
+ }
+
+ if (single_bit_set((*i).second.class_bits)) (*i).second.class_decided = 1;
+ }
+ }
+
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "poly a:" << std::endl;
+ for (Classification::iterator i = a_classification.begin(), e = a_classification.end(); i != e; ++i) {
+ FaceLoopGroup *grp = ((*i).first.first);
+
+ std::cerr << " group: " << grp << " gid: " << (*i).first.second
+ << " "
+ << ((*i).second.class_decided ? "+" : "-")
+ << " "
+ << ((*i).second.class_bits & FACE_IN_BIT ? "I" : ".")
+ << ((*i).second.class_bits & FACE_ON_ORIENT_IN_BIT ? "<" : ".")
+ << ((*i).second.class_bits & FACE_ON_ORIENT_OUT_BIT ? ">" : ".")
+ << ((*i).second.class_bits & FACE_OUT_BIT ? "O" : ".")
+ << " ["
+ << std::setw(4) << (*i).second.c[0] << " "
+ << std::setw(4) << (*i).second.c[1] << " "
+ << std::setw(4) << (*i).second.c[2] << " "
+ << std::setw(4) << (*i).second.c[3] << " "
+ << std::setw(4) << (*i).second.c[4] << "]" << std::endl;
+ }
+
+ std::cerr << "poly b:" << std::endl;
+ for (Classification::iterator i = b_classification.begin(), e = b_classification.end(); i != e; ++i) {
+ FaceLoopGroup *grp = ((*i).first.first);
+
+ std::cerr << " group: " << grp << " gid: " << (*i).first.second
+ << " "
+ << ((*i).second.class_decided ? "+" : "-")
+ << " "
+ << ((*i).second.class_bits & FACE_IN_BIT ? "I" : ".")
+ << ((*i).second.class_bits & FACE_ON_ORIENT_IN_BIT ? "<" : ".")
+ << ((*i).second.class_bits & FACE_ON_ORIENT_OUT_BIT ? ">" : ".")
+ << ((*i).second.class_bits & FACE_OUT_BIT ? "O" : ".")
+ << " ["
+ << std::setw(4) << (*i).second.c[0] << " "
+ << std::setw(4) << (*i).second.c[1] << " "
+ << std::setw(4) << (*i).second.c[2] << " "
+ << std::setw(4) << (*i).second.c[3] << " "
+ << std::setw(4) << (*i).second.c[4] << "]" << std::endl;
+ }
+#endif
+
+ for (Classification::iterator i = a_classification.begin(), e = a_classification.end(); i != e; ++i) {
+ FaceLoopGroup *grp = ((*i).first.first);
+
+ grp->classification.push_back(ClassificationInfo());
+ ClassificationInfo &info = grp->classification.back();
+
+ info.intersected_mesh = (*i).first.second;
+
+ if ((*i).second.class_decided) {
+ info.classification = class_bit_to_class((*i).second.class_bits);
+ } else {
+ info.classification = FACE_UNCLASSIFIED;
+ }
+ }
+
+ for (Classification::iterator i = b_classification.begin(), e = b_classification.end(); i != e; ++i) {
+ FaceLoopGroup *grp = ((*i).first.first);
+
+ grp->classification.push_back(ClassificationInfo());
+ ClassificationInfo &info = grp->classification.back();
+
+ info.intersected_mesh = (*i).first.second;
+
+ if ((*i).second.class_decided) {
+ info.classification = class_bit_to_class((*i).second.class_bits);
+ } else {
+ info.classification = FACE_UNCLASSIFIED;
+ }
+ }
+
+ for (FLGroupList::iterator i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ if ((*i).classification.size() == 0) {
+#if defined(CARVE_DEBUG)
+ std::cerr << " non intersecting group (poly a): " << &(*i) << std::endl;
+#endif
+ bool classified = false;
+ for (FaceLoop *fl = (*i).face_loops.head; !classified && fl != NULL; fl = fl->next) {
+ for (size_t fli = 0; !classified && fli < fl->vertices.size(); ++fli) {
+ if (vclass[fl->vertices[fli]].cls[1] == POINT_UNK) {
+ vclass[fl->vertices[fli]].cls[1] = carve::mesh::classifyPoint(poly_b, poly_b_rtree, fl->vertices[fli]->v);
+ }
+ switch (vclass[fl->vertices[fli]].cls[1]) {
+ case POINT_IN:
+ (*i).classification.push_back(ClassificationInfo(NULL, FACE_IN));
+ classified = true;
+ break;
+ case POINT_OUT:
+ (*i).classification.push_back(ClassificationInfo(NULL, FACE_OUT));
+ classified = true;
+ break;
+ default:
+ break;
+ }
+ }
+ }
+ if (!classified) {
+ throw carve::exception("non intersecting group is not IN or OUT! (poly_a)");
+ }
+ }
+ }
+
+ for (FLGroupList::iterator i = b_loops_grouped.begin(); i != b_loops_grouped.end(); ++i) {
+ if ((*i).classification.size() == 0) {
+#if defined(CARVE_DEBUG)
+ std::cerr << " non intersecting group (poly b): " << &(*i) << std::endl;
+#endif
+ bool classified = false;
+ for (FaceLoop *fl = (*i).face_loops.head; !classified && fl != NULL; fl = fl->next) {
+ for (size_t fli = 0; !classified && fli < fl->vertices.size(); ++fli) {
+ if (vclass[fl->vertices[fli]].cls[0] == POINT_UNK) {
+ vclass[fl->vertices[fli]].cls[0] = carve::mesh::classifyPoint(poly_a, poly_a_rtree, fl->vertices[fli]->v);
+ }
+ switch (vclass[fl->vertices[fli]].cls[0]) {
+ case POINT_IN:
+ (*i).classification.push_back(ClassificationInfo(NULL, FACE_IN));
+ classified = true;
+ break;
+ case POINT_OUT:
+ (*i).classification.push_back(ClassificationInfo(NULL, FACE_OUT));
+ classified = true;
+ break;
+ default:
+ break;
+ }
+ }
+ }
+ if (!classified) {
+ throw carve::exception("non intersecting group is not IN or OUT! (poly_b)");
+ }
+ }
+ }
+
+#if defined(DISPLAY_GRP_GRAPH)
+#define POLY(grp) (std::string((grp)->face_loops.head->orig_face->polyhedron == poly_a ? "[A:" : "[B:") + CODE(grp) + "]")
+
+ for (std::map<const FaceLoopGroup *, std::set<const FaceLoopGroup *> >::iterator i = grp_graph_fwd.begin(); i != grp_graph_fwd.end(); ++i) {
+ const FaceLoopGroup *grp = (*i).first;
+
+ std::cerr << "GRP: " << grp << POLY(grp) << std::endl;
+
+ std::set<const FaceLoopGroup *> &fwd_set = grp_graph_fwd[grp];
+ std::set<const FaceLoopGroup *> &rev_set = grp_graph_rev[grp];
+ std::cerr << " FWD: ";
+ for (std::set<const FaceLoopGroup *>::const_iterator j = fwd_set.begin(); j != fwd_set.end(); ++j) {
+ std::cerr << " " << (*j) << POLY(*j);
+ }
+ std::cerr << std::endl;
+ std::cerr << " REV: ";
+ for (std::set<const FaceLoopGroup *>::const_iterator j = rev_set.begin(); j != rev_set.end(); ++j) {
+ std::cerr << " " << (*j) << POLY(*j);
+ }
+ std::cerr << std::endl;
+ }
+#endif
+
+ for (FLGroupList::iterator i = a_loops_grouped.begin(); i != a_loops_grouped.end(); ++i) {
+ collector.collect(&*i, hooks);
+ }
+
+ for (FLGroupList::iterator i = b_loops_grouped.begin(); i != b_loops_grouped.end(); ++i) {
+ collector.collect(&*i, hooks);
+ }
+
+ // traceIntersectionGraph(shared_edges, a_loops_grouped, b_loops_grouped, a_edge_map, b_edge_map);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/intersect_classify_group.cpp b/extern/carve/lib/intersect_classify_group.cpp
new file mode 100644
index 00000000000..4251af63f89
--- /dev/null
+++ b/extern/carve/lib/intersect_classify_group.cpp
@@ -0,0 +1,220 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/debug_hooks.hpp>
+
+#include <list>
+#include <set>
+#include <iostream>
+
+#include <algorithm>
+
+#include "intersect_common.hpp"
+#include "intersect_classify_common.hpp"
+#include "intersect_classify_common_impl.hpp"
+
+
+namespace carve {
+ namespace csg {
+
+ namespace {
+
+#if defined(_MSC_VER) && _MSC_VER < 1300
+ // VC++ 6.0 gets an internal compiler when compiling
+ // the FaceMaker template. Not sure why but for now we just bypass
+ // the template
+ class FaceMaker0 {
+ public:
+ CSG::Collector &collector;
+ CSG::Hooks &hooks;
+
+ FaceMaker0(CSG::Collector &c, CSG::Hooks &h) : collector(c), hooks(h) {
+ }
+ bool pointOn(VertexClassification &vclass, FaceLoop *f, size_t index) const {
+ return vclass[f->vertices[index]].cls[1] == POINT_ON;
+ }
+ void explain(FaceLoop *f, size_t index, PointClass pc) const {
+#if defined(CARVE_DEBUG)
+ std::cerr << "face loop " << f << " from poly " << "ab"[0] << " is easy because vertex " << index << " (" << *f->vertices[index] << ") is " << ENUM(pc) << std::endl;
+#endif
+ }
+ };
+ class FaceMaker1 {
+ public:
+ CSG::Collector &collector;
+ CSG::Hooks &hooks;
+
+ FaceMaker1(CSG::Collector &c, CSG::Hooks &h) : collector(c), hooks(h) {
+ }
+ bool pointOn(VertexClassification &vclass, FaceLoop *f, size_t index) const {
+ return vclass[f->vertices[index]].cls[0] == POINT_ON;
+ }
+ void explain(FaceLoop *f, size_t index, PointClass pc) const {
+#if defined(CARVE_DEBUG)
+ std::cerr << "face loop " << f << " from poly " << "ab"[1] << " is easy because vertex " << index << " (" << *f->vertices[index] << ") is " << ENUM(pc) << std::endl;
+#endif
+ }
+ };
+#else
+ template <int poly_num>
+ class FaceMaker {
+ FaceMaker &operator=(const FaceMaker &);
+
+ public:
+ CSG::Collector &collector;
+ CSG::Hooks &hooks;
+
+ FaceMaker(CSG::Collector &c, CSG::Hooks &h) : collector(c), hooks(h) {
+ }
+
+ bool pointOn(VertexClassification &vclass, FaceLoop *f, size_t index) const {
+ return vclass[f->vertices[index]].cls[1 - poly_num] == POINT_ON;
+ }
+
+ void explain(FaceLoop *f, size_t index, PointClass pc) const {
+#if defined(CARVE_DEBUG)
+ std::cerr << "face loop " << f << " from poly " << "ab"[poly_num] << " is easy because vertex " << index << " (" << f->vertices[index]->v << ") is " << ENUM(pc) << std::endl;
+#endif
+ }
+ };
+ typedef FaceMaker<0> FaceMaker0;
+ typedef FaceMaker<1> FaceMaker1;
+#endif
+ class ClassifyFaceGroups {
+ ClassifyFaceGroups &operator=(const ClassifyFaceGroups &);
+
+ public:
+ CSG::Collector &collector;
+ CSG::Hooks &hooks;
+
+ ClassifyFaceGroups(CSG::Collector &c, CSG::Hooks &h) : collector(c), hooks(h) {
+ }
+
+ void classifySimple(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & /* vclass */,
+ carve::mesh::MeshSet<3> *poly_a,
+ carve::mesh::MeshSet<3> *poly_b) const {
+ if (a_loops_grouped.size() < b_loops_grouped.size()) {
+ performClassifySimpleOnFaceGroups(a_loops_grouped, b_loops_grouped, poly_a, poly_b, collector, hooks);
+ } else {
+ performClassifySimpleOnFaceGroups(b_loops_grouped, a_loops_grouped, poly_b, poly_a, collector, hooks);
+ }
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of simple on groups: " << a_loops_grouped.size() << " a groups" << std::endl;
+ std::cerr << "after removal of simple on groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ void classifyEasy(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped,
+ VertexClassification &vclass,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree) const {
+ performClassifyEasyFaceGroups(a_loops_grouped, poly_b, poly_b_rtree, vclass, FaceMaker0(collector, hooks), collector, hooks);
+ performClassifyEasyFaceGroups(b_loops_grouped, poly_a, poly_a_rtree, vclass, FaceMaker1(collector, hooks), collector, hooks);
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of easy groups: " << a_loops_grouped.size() << " a groups" << std::endl;
+ std::cerr << "after removal of easy groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ void classifyHard(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & /* vclass */,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree) const {
+ performClassifyHardFaceGroups(a_loops_grouped, poly_b, poly_b_rtree, FaceMaker0(collector, hooks), collector, hooks);
+ performClassifyHardFaceGroups(b_loops_grouped, poly_a, poly_a_rtree, FaceMaker1(collector, hooks), collector, hooks);
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of hard groups: " << a_loops_grouped.size() << " a groups" << std::endl;
+ std::cerr << "after removal of hard groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ void faceLoopWork(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & /* vclass */,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree) const {
+ performFaceLoopWork(poly_b, poly_b_rtree, a_loops_grouped, *this, collector, hooks);
+ performFaceLoopWork(poly_a, poly_a_rtree, b_loops_grouped, *this, collector, hooks);
+ }
+
+ void postRemovalCheck(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped) const {
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of on groups: " << a_loops_grouped.size() << " a groups" << std::endl;
+ std::cerr << "after removal of on groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ bool faceLoopSanityChecker(FaceLoopGroup &i) const {
+ return i.face_loops.size() != 1;
+ }
+
+ void finish(FLGroupList &a_loops_grouped,FLGroupList &b_loops_grouped) const {
+#if defined(CARVE_DEBUG)
+ if (a_loops_grouped.size() || b_loops_grouped.size())
+ std::cerr << "UNCLASSIFIED! a=" << a_loops_grouped.size() << ", b=" << b_loops_grouped.size() << std::endl;
+#endif
+ }
+ };
+ }
+
+ void CSG::classifyFaceGroups(const V2Set & /* shared_edges */,
+ VertexClassification &vclass,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ FLGroupList &a_loops_grouped,
+ const detail::LoopEdges & /* a_edge_map */,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree,
+ FLGroupList &b_loops_grouped,
+ const detail::LoopEdges & /* b_edge_map */,
+ CSG::Collector &collector) {
+ ClassifyFaceGroups classifier(collector, hooks);
+#if defined(CARVE_DEBUG)
+ std::cerr << "initial groups: " << a_loops_grouped.size() << " a groups" << std::endl;
+ std::cerr << "initial groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ performClassifyFaceGroups(
+ a_loops_grouped,
+ b_loops_grouped,
+ vclass,
+ poly_a,
+ poly_a_rtree,
+ poly_b,
+ poly_b_rtree,
+ classifier,
+ collector,
+ hooks);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/intersect_common.hpp b/extern/carve/lib/intersect_common.hpp
new file mode 100644
index 00000000000..06f3cfdd4ec
--- /dev/null
+++ b/extern/carve/lib/intersect_common.hpp
@@ -0,0 +1,83 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#pragma once
+
+
+static inline bool facesAreCoplanar(const carve::mesh::MeshSet<3>::face_t *a, const carve::mesh::MeshSet<3>::face_t *b) {
+ carve::geom3d::Ray temp;
+ // XXX: Find a better definition. This may be a source of problems
+ // if floating point inaccuracies cause an incorrect answer.
+ return !carve::geom3d::planeIntersection(a->plane, b->plane, temp);
+}
+
+#if defined(CARVE_DEBUG)
+
+#include <carve/debug_hooks.hpp>
+
+#endif
+
+namespace carve {
+ namespace csg {
+
+ static inline carve::mesh::MeshSet<3>::vertex_t *map_vertex(const VVMap &vmap, carve::mesh::MeshSet<3>::vertex_t *v) {
+ VVMap::const_iterator i = vmap.find(v);
+ if (i == vmap.end()) return v;
+ return (*i).second;
+ }
+
+#if defined(CARVE_DEBUG)
+
+ class IntersectDebugHooks;
+ extern IntersectDebugHooks *g_debug;
+
+#define HOOK(x) do { if (g_debug) { g_debug->x } } while(0)
+
+ static inline void drawFaceLoopList(const FaceLoopList &ll,
+ float rF, float gF, float bF, float aF,
+ float rB, float gB, float bB, float aB,
+ bool lit) {
+ for (FaceLoop *flb = ll.head; flb; flb = flb->next) {
+ const carve::mesh::MeshSet<3>::face_t *f = (flb->orig_face);
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &loop = flb->vertices;
+ HOOK(drawFaceLoop2(loop, f->plane.N, rF, gF, bF, aF, rB, gB, bB, aB, true, lit););
+ HOOK(drawFaceLoopWireframe(loop, f->plane.N, 1, 1, 1, 0.1f););
+ }
+ }
+
+ static inline void drawFaceLoopListWireframe(const FaceLoopList &ll) {
+ for (FaceLoop *flb = ll.head; flb; flb = flb->next) {
+ const carve::mesh::MeshSet<3>::face_t *f = (flb->orig_face);
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &loop = flb->vertices;
+ HOOK(drawFaceLoopWireframe(loop, f->plane.N, 1, 1, 1, 0.1f););
+ }
+ }
+
+ template<typename T>
+ static inline void drawEdges(T begin, T end,
+ float rB, float gB, float bB, float aB,
+ float rE, float gE, float bE, float aE,
+ float w) {
+ for (; begin != end; ++begin) {
+ HOOK(drawEdge((*begin).first, (*begin).second, rB, gB, bB, aB, rE, gE, bE, aE, w););
+ }
+ }
+
+#endif
+
+ }
+}
diff --git a/extern/carve/lib/intersect_debug.cpp b/extern/carve/lib/intersect_debug.cpp
new file mode 100644
index 00000000000..c16854d5655
--- /dev/null
+++ b/extern/carve/lib/intersect_debug.cpp
@@ -0,0 +1,65 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+
+#include <list>
+#include <set>
+#include <iostream>
+
+#include <algorithm>
+
+#include "intersect_debug.hpp"
+
+namespace carve {
+ namespace csg {
+
+#if defined(CARVE_DEBUG)
+
+#define DEBUG_DRAW_FACE_EDGES
+#define DEBUG_DRAW_INTERSECTIONS
+// #define DEBUG_DRAW_OCTREE
+#define DEBUG_DRAW_INTERSECTION_LINE
+// #define DEBUG_DRAW_GROUPS
+// #define DEBUG_PRINT_RESULT_FACES
+
+ IntersectDebugHooks *g_debug = NULL;
+
+ IntersectDebugHooks *intersect_installDebugHooks(IntersectDebugHooks *hooks) {
+ IntersectDebugHooks *h = g_debug;
+ g_debug = hooks;
+ return h;
+ }
+
+ bool intersect_debugEnabled() { return true; }
+
+#else
+
+ IntersectDebugHooks *intersect_installDebugHooks(IntersectDebugHooks * /* hooks */) {
+ return NULL;
+ }
+
+ bool intersect_debugEnabled() { return false; }
+
+#endif
+
+ }
+}
diff --git a/extern/carve/lib/intersect_debug.hpp b/extern/carve/lib/intersect_debug.hpp
new file mode 100644
index 00000000000..be73a7c3dae
--- /dev/null
+++ b/extern/carve/lib/intersect_debug.hpp
@@ -0,0 +1,29 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#include <carve/debug_hooks.hpp>
+
+#if defined(CARVE_DEBUG)
+
+#define DEBUG_DRAW_FACE_EDGES
+#define DEBUG_DRAW_INTERSECTIONS
+// #define DEBUG_DRAW_OCTREE
+#define DEBUG_DRAW_INTERSECTION_LINE
+// #define DEBUG_DRAW_GROUPS
+// #define DEBUG_PRINT_RESULT_FACES
+
+#endif
diff --git a/extern/carve/lib/intersect_face_division.cpp b/extern/carve/lib/intersect_face_division.cpp
new file mode 100644
index 00000000000..6f2aa65ed67
--- /dev/null
+++ b/extern/carve/lib/intersect_face_division.cpp
@@ -0,0 +1,1709 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/polyline.hpp>
+#include <carve/debug_hooks.hpp>
+#include <carve/timing.hpp>
+#include <carve/triangulator.hpp>
+
+#include <list>
+#include <set>
+#include <iostream>
+
+#include <algorithm>
+
+#include "csg_detail.hpp"
+#include "csg_data.hpp"
+
+#include "intersect_common.hpp"
+
+
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+void writePLY(const std::string &out_file, const carve::line::PolylineSet *lines, bool ascii);
+#endif
+
+
+
+namespace {
+
+
+
+ template<typename T>
+ void populateVectorFromList(std::list<T> &l, std::vector<T> &v) {
+ v.clear();
+ v.reserve(l.size());
+ for (typename std::list<T>::iterator i = l.begin(); i != l.end(); ++i) {
+ v.push_back(T());
+ std::swap(*i, v.back());
+ }
+ l.clear();
+ }
+
+ template<typename T>
+ void populateListFromVector(std::vector<T> &v, std::list<T> &l) {
+ l.clear();
+ for (size_t i = 0; i < v.size(); ++i) {
+ l.push_back(T());
+ std::swap(v[i], l.back());
+ }
+ v.clear();
+ }
+
+
+
+ struct GraphEdge {
+ GraphEdge *next;
+ GraphEdge *prev;
+ GraphEdge *loop_next;
+ carve::mesh::MeshSet<3>::vertex_t *src;
+ carve::mesh::MeshSet<3>::vertex_t *tgt;
+ double ang;
+ int visited;
+
+ GraphEdge(carve::mesh::MeshSet<3>::vertex_t *_src, carve::mesh::MeshSet<3>::vertex_t *_tgt) :
+ next(NULL), prev(NULL), loop_next(NULL),
+ src(_src), tgt(_tgt),
+ ang(0.0), visited(-1) {
+ }
+ };
+
+
+
+ struct GraphEdges {
+ GraphEdge *edges;
+ carve::geom2d::P2 proj;
+
+ GraphEdges() : edges(NULL), proj() {
+ }
+ };
+
+
+
+ struct Graph {
+ typedef std::unordered_map<carve::mesh::MeshSet<3>::vertex_t *, GraphEdges> graph_t;
+
+ graph_t graph;
+
+ Graph() : graph() {
+ }
+
+ ~Graph() {
+ int c = 0;
+
+ GraphEdge *edge;
+ for (graph_t::iterator i = graph.begin(), e = graph.end(); i != e; ++i) {
+ edge = (*i).second.edges;
+ while (edge) {
+ GraphEdge *temp = edge;
+ ++c;
+ edge = edge->next;
+ delete temp;
+ }
+ }
+
+ if (c) {
+ std::cerr << "warning: "
+ << c
+ << " edges should have already been removed at graph destruction time"
+ << std::endl;
+ }
+ }
+
+ const carve::geom2d::P2 &projection(carve::mesh::MeshSet<3>::vertex_t *v) const {
+ graph_t::const_iterator i = graph.find(v);
+ CARVE_ASSERT(i != graph.end());
+ return (*i).second.proj;
+ }
+
+ void computeProjection(carve::mesh::MeshSet<3>::face_t *face) {
+ for (graph_t::iterator i = graph.begin(), e = graph.end(); i != e; ++i) {
+ (*i).second.proj = face->project((*i).first->v);
+ }
+ for (graph_t::iterator i = graph.begin(), e = graph.end(); i != e; ++i) {
+ for (GraphEdge *e = (*i).second.edges; e; e = e->next) {
+ e->ang = carve::math::ANG(carve::geom2d::atan2(projection(e->tgt) - projection(e->src)));
+ }
+ }
+ }
+
+ void print(std::ostream &out, const carve::csg::VertexIntersections *vi) const {
+ for (graph_t::const_iterator i = graph.begin(), e = graph.end(); i != e; ++i) {
+ out << (*i).first << (*i).first->v << '(' << projection((*i).first).x << ',' << projection((*i).first).y << ") :";
+ for (const GraphEdge *e = (*i).second.edges; e; e = e->next) {
+ out << ' ' << e->tgt << e->tgt->v << '(' << projection(e->tgt).x << ',' << projection(e->tgt).y << ')';
+ }
+ out << std::endl;
+ if (vi) {
+ carve::csg::VertexIntersections::const_iterator j = vi->find((*i).first);
+ if (j != vi->end()) {
+ out << " (int) ";
+ for (carve::csg::IObjPairSet::const_iterator
+ k = (*j).second.begin(), ke = (*j).second.end(); k != ke; ++k) {
+ if ((*k).first < (*k).second) {
+ out << (*k).first << ".." << (*k).second << "; ";
+ }
+ }
+ out << std::endl;
+ }
+ }
+ }
+ }
+
+ void addEdge(carve::mesh::MeshSet<3>::vertex_t *v1, carve::mesh::MeshSet<3>::vertex_t *v2) {
+ GraphEdges &edges = graph[v1];
+ GraphEdge *edge = new GraphEdge(v1, v2);
+ if (edges.edges) edges.edges->prev = edge;
+ edge->next = edges.edges;
+ edges.edges = edge;
+ }
+
+ void removeEdge(GraphEdge *edge) {
+ if (edge->prev != NULL) {
+ edge->prev->next = edge->next;
+ } else {
+ if (edge->next != NULL) {
+ GraphEdges &edges = (graph[edge->src]);
+ edges.edges = edge->next;
+ } else {
+ graph.erase(edge->src);
+ }
+ }
+ if (edge->next != NULL) {
+ edge->next->prev = edge->prev;
+ }
+ delete edge;
+ }
+
+ bool empty() const {
+ return graph.size() == 0;
+ }
+
+ GraphEdge *pickStartEdge() {
+ // Try and find a vertex from which there is only one outbound edge. Won't always succeed.
+ for (graph_t::iterator i = graph.begin(); i != graph.end(); ++i) {
+ GraphEdges &ge = i->second;
+ if (ge.edges->next == NULL) {
+ return ge.edges;
+ }
+ }
+ return (*graph.begin()).second.edges;
+ }
+
+ GraphEdge *outboundEdges(carve::mesh::MeshSet<3>::vertex_t *v) {
+ return graph[v].edges;
+ }
+ };
+
+
+
+ /**
+ * \brief Take a set of new edges and split a face based upon those edges.
+ *
+ * @param[in] face The face to be split.
+ * @param[in] edges
+ * @param[out] face_loops Output list of face loops
+ * @param[out] hole_loops Output list of hole loops
+ * @param vi
+ */
+ static void splitFace(carve::mesh::MeshSet<3>::face_t *face,
+ const carve::csg::V2Set &edges,
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &face_loops,
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &hole_loops,
+ const carve::csg::VertexIntersections & /* vi */) {
+ Graph graph;
+
+ for (carve::csg::V2Set::const_iterator
+ i = edges.begin(), e = edges.end();
+ i != e;
+ ++i) {
+ carve::mesh::MeshSet<3>::vertex_t *v1 = ((*i).first), *v2 = ((*i).second);
+ if (carve::geom::equal(v1->v, v2->v)) std::cerr << "WARNING! " << v1->v << "==" << v2->v << std::endl;
+ graph.addEdge(v1, v2);
+ }
+
+ graph.computeProjection(face);
+
+ while (!graph.empty()) {
+ GraphEdge *edge;
+ GraphEdge *start;
+ start = edge = graph.pickStartEdge();
+
+ edge->visited = 0;
+
+ int len = 0;
+
+ for (;;) {
+ double in_ang = M_PI + edge->ang;
+ if (in_ang > M_TWOPI) in_ang -= M_TWOPI;
+
+ GraphEdge *opts;
+ GraphEdge *out = NULL;
+ double best = M_TWOPI + 1.0;
+
+ for (opts = graph.outboundEdges(edge->tgt); opts; opts = opts->next) {
+ if (opts->tgt == edge->src) {
+ if (out == NULL && opts->next == NULL) out = opts;
+ } else {
+ double out_ang = carve::math::ANG(in_ang - opts->ang);
+
+ if (out == NULL || out_ang < best) {
+ out = opts;
+ best = out_ang;
+ }
+ }
+ }
+
+ CARVE_ASSERT(out != NULL);
+
+ edge->loop_next = out;
+
+ if (out->visited >= 0) {
+ while (start != out) {
+ GraphEdge *e = start;
+ start = start->loop_next;
+ e->loop_next = NULL;
+ e->visited = -1;
+ }
+ len = edge->visited - out->visited + 1;
+ break;
+ }
+
+ out->visited = edge->visited + 1;
+ edge = out;
+ }
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> loop(len);
+ std::vector<carve::geom2d::P2> projected(len);
+
+ edge = start;
+ for (int i = 0; i < len; ++i) {
+ GraphEdge *next = edge->loop_next;
+ loop[i] = edge->src;
+ projected[i] = graph.projection(edge->src);
+ graph.removeEdge(edge);
+ edge = next;
+ }
+
+ CARVE_ASSERT(edge == start);
+
+ if (carve::geom2d::signedArea(projected) < 0) {
+ face_loops.push_back(std::vector<carve::mesh::MeshSet<3>::vertex_t *>());
+ face_loops.back().swap(loop);
+ } else {
+ hole_loops.push_back(std::vector<carve::mesh::MeshSet<3>::vertex_t *>());
+ hole_loops.back().swap(loop);
+ }
+ }
+ }
+
+
+
+ /**
+ * \brief Determine the relationship between a face loop and a hole loop.
+ *
+ * Determine whether a face and hole share an edge, or a vertex,
+ * or do not touch. Find a hole vertex that is not part of the
+ * face, and a hole,face vertex pair that are coincident, if such
+ * a pair exists.
+ *
+ * @param[in] f A face loop.
+ * @param[in] f_sort A vector indexing \a f in address order
+ * @param[in] h A hole loop.
+ * @param[in] h_sort A vector indexing \a h in address order
+ * @param[out] f_idx Index of a face vertex that is shared with the hole.
+ * @param[out] h_idx Index of the hole vertex corresponding to \a f_idx.
+ * @param[out] unmatched_h_idx Index of a hole vertex that is not part of the face.
+ * @param[out] shares_vertex Boolean indicating that the face and the hole share a vertex.
+ * @param[out] shares_edge Boolean indicating that the face and the hole share an edge.
+ */
+ static void compareFaceLoopAndHoleLoop(const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &f,
+ const std::vector<unsigned> &f_sort,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &h,
+ const std::vector<unsigned> &h_sort,
+ unsigned &f_idx,
+ unsigned &h_idx,
+ int &unmatched_h_idx,
+ bool &shares_vertex,
+ bool &shares_edge) {
+ const size_t F = f.size();
+ const size_t H = h.size();
+
+ shares_vertex = shares_edge = false;
+ unmatched_h_idx = -1;
+
+ unsigned I, J;
+ for (I = J = 0; I < F && J < H;) {
+ unsigned i = f_sort[I], j = h_sort[J];
+ if (f[i] == h[j]) {
+ shares_vertex = true;
+ f_idx = i;
+ h_idx = j;
+ if (f[(i + F - 1) % F] == h[(j + 1) % H]) {
+ shares_edge = true;
+ }
+ carve::mesh::MeshSet<3>::vertex_t *t = f[i];
+ do { ++I; } while (I < F && f[f_sort[I]] == t);
+ do { ++J; } while (J < H && h[h_sort[J]] == t);
+ } else if (f[i] < h[j]) {
+ ++I;
+ } else {
+ unmatched_h_idx = j;
+ ++J;
+ }
+ }
+ if (J < H) {
+ unmatched_h_idx = h_sort[J];
+ }
+ }
+
+
+
+ /**
+ * \brief Compute an embedding for a set of face loops and hole loops.
+ *
+ * Because face and hole loops may be contained within each other,
+ * it must be determined which hole loops are directly contained
+ * within a face loop.
+ *
+ * @param[in] face The face from which these face and hole loops derive.
+ * @param[in] face_loops
+ * @param[in] hole_loops
+ * @param[out] containing_faces A vector which for each hole loop
+ * lists the indices of the face
+ * loops it is containined in.
+ * @param[out] hole_shared_vertices A map from a face,hole pair to
+ * a shared vertex pair.
+ */
+ static void computeContainment(carve::mesh::MeshSet<3>::face_t *face,
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &face_loops,
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &hole_loops,
+ std::vector<std::vector<int> > &containing_faces,
+ std::map<int, std::map<int, std::pair<unsigned, unsigned> > > &hole_shared_vertices) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "input: "
+ << face_loops.size() << "faces, "
+ << hole_loops.size() << "holes."
+ << std::endl;
+#endif
+
+ std::vector<std::vector<carve::geom2d::P2> > face_loops_projected, hole_loops_projected;
+ std::vector<carve::geom::aabb<2> > face_loop_aabb, hole_loop_aabb;
+ std::vector<std::vector<unsigned> > face_loops_sorted, hole_loops_sorted;
+
+ std::vector<double> face_loop_areas, hole_loop_areas;
+
+ face_loops_projected.resize(face_loops.size());
+ face_loops_sorted.resize(face_loops.size());
+ face_loop_aabb.resize(face_loops.size());
+ face_loop_areas.resize(face_loops.size());
+
+ hole_loops_projected.resize(hole_loops.size());
+ hole_loops_sorted.resize(hole_loops.size());
+ hole_loop_aabb.resize(hole_loops.size());
+ hole_loop_areas.resize(hole_loops.size());
+
+ // produce a projection of each face loop onto a 2D plane, and an
+ // index vector which sorts vertices by address.
+ for (size_t m = 0; m < face_loops.size(); ++m) {
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &f_loop = (face_loops[m]);
+ face_loops_projected[m].reserve(f_loop.size());
+ face_loops_sorted[m].reserve(f_loop.size());
+ for (size_t n = 0; n < f_loop.size(); ++n) {
+ face_loops_projected[m].push_back(face->project(f_loop[n]->v));
+ face_loops_sorted[m].push_back(n);
+ }
+ face_loop_areas.push_back(carve::geom2d::signedArea(face_loops_projected[m]));
+ std::sort(face_loops_sorted[m].begin(), face_loops_sorted[m].end(),
+ carve::make_index_sort(face_loops[m].begin()));
+ face_loop_aabb[m].fit(face_loops_projected[m].begin(), face_loops_projected[m].end());
+ }
+
+ // produce a projection of each hole loop onto a 2D plane, and an
+ // index vector which sorts vertices by address.
+ for (size_t m = 0; m < hole_loops.size(); ++m) {
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &h_loop = (hole_loops[m]);
+ hole_loops_projected[m].reserve(h_loop.size());
+ hole_loops_projected[m].reserve(h_loop.size());
+ for (size_t n = 0; n < h_loop.size(); ++n) {
+ hole_loops_projected[m].push_back(face->project(h_loop[n]->v));
+ hole_loops_sorted[m].push_back(n);
+ }
+ hole_loop_areas.push_back(carve::geom2d::signedArea(hole_loops_projected[m]));
+ std::sort(hole_loops_sorted[m].begin(), hole_loops_sorted[m].end(),
+ carve::make_index_sort(hole_loops[m].begin()));
+ hole_loop_aabb[m].fit(hole_loops_projected[m].begin(), hole_loops_projected[m].end());
+ }
+
+ containing_faces.resize(hole_loops.size());
+
+ for (unsigned i = 0; i < hole_loops.size(); ++i) {
+
+ for (unsigned j = 0; j < face_loops.size(); ++j) {
+ if (!face_loop_aabb[j].completelyContains(hole_loop_aabb[i])) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "face: " << j
+ << " hole: " << i
+ << " skipped test (aabb fail)"
+ << std::endl;
+#endif
+ continue;
+ }
+
+ unsigned f_idx, h_idx;
+ int unmatched_h_idx;
+ bool shares_vertex, shares_edge;
+ compareFaceLoopAndHoleLoop(face_loops[j],
+ face_loops_sorted[j],
+ hole_loops[i],
+ hole_loops_sorted[i],
+ f_idx, h_idx,
+ unmatched_h_idx,
+ shares_vertex,
+ shares_edge);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "face: " << j
+ << " hole: " << i
+ << " shares_vertex: " << shares_vertex
+ << " shares_edge: " << shares_edge
+ << std::endl;
+#endif
+
+ carve::geom3d::Vector test = hole_loops[i][0]->v;
+ carve::geom2d::P2 test_p = face->project(test);
+
+ if (shares_vertex) {
+ hole_shared_vertices[i][j] = std::make_pair(h_idx, f_idx);
+ // Hole touches face. Should be able to connect it up
+ // trivially. Still need to record its containment, so that
+ // the assignment below works.
+ if (unmatched_h_idx != -1) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "using unmatched vertex: " << unmatched_h_idx << std::endl;
+#endif
+ test = hole_loops[i][unmatched_h_idx]->v;
+ test_p = face->project(test);
+ } else {
+ // XXX: hole shares ALL vertices with face. Pick a point
+ // internal to the projected poly.
+ if (shares_edge) {
+ // Hole shares edge with face => face can't contain hole.
+ continue;
+ }
+
+ // XXX: how is this possible? Doesn't share an edge, but
+ // also doesn't have any vertices that are not in
+ // common. Degenerate hole?
+
+ // XXX: come up with a test case for this.
+ CARVE_FAIL("implement me");
+ }
+ }
+
+
+ // XXX: use loop area to avoid some point-in-poly tests? Loop
+ // area is faster, but not sure which is more robust.
+ if (carve::geom2d::pointInPolySimple(face_loops_projected[j], test_p)) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "contains: " << i << " - " << j << std::endl;
+#endif
+ containing_faces[i].push_back(j);
+ } else {
+#if defined(CARVE_DEBUG)
+ std::cerr << "does not contain: " << i << " - " << j << std::endl;
+#endif
+ }
+ }
+
+#if defined(CARVE_DEBUG)
+ if (containing_faces[i].size() == 0) {
+ //HOOK(drawFaceLoopWireframe(hole_loops[i], face->normal, 1.0, 0.0, 0.0, 1.0););
+ std::cerr << "hole loop: ";
+ for (unsigned j = 0; j < hole_loops[i].size(); ++j) {
+ std::cerr << " " << hole_loops[i][j] << ":" << hole_loops[i][j]->v;
+ }
+ std::cerr << std::endl;
+ for (unsigned j = 0; j < face_loops.size(); ++j) {
+ //HOOK(drawFaceLoopWireframe(face_loops[j], face->normal, 0.0, 1.0, 0.0, 1.0););
+ }
+ }
+#endif
+
+ // CARVE_ASSERT(containing_faces[i].size() >= 1);
+ }
+ }
+
+
+
+ /**
+ * \brief Merge face loops and hole loops to produce a set of face loops without holes.
+ *
+ * @param[in] face The face from which these face loops derive.
+ * @param[in,out] f_loops A list of face loops.
+ * @param[in] h_loops A list of hole loops to be incorporated into face loops.
+ */
+ static void mergeFacesAndHoles(carve::mesh::MeshSet<3>::face_t *face,
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &f_loops,
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &h_loops,
+ carve::csg::CSG::Hooks & /* hooks */) {
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > face_loops;
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > hole_loops;
+
+ std::vector<std::vector<int> > containing_faces;
+ std::map<int, std::map<int, std::pair<unsigned, unsigned> > > hole_shared_vertices;
+
+ {
+ // move input face and hole loops to temp vectors.
+ size_t m;
+ face_loops.resize(f_loops.size());
+ m = 0;
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::iterator
+ i = f_loops.begin(), ie = f_loops.end();
+ i != ie;
+ ++i, ++m) {
+ face_loops[m].swap((*i));
+ }
+
+ hole_loops.resize(h_loops.size());
+ m = 0;
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::iterator
+ i = h_loops.begin(), ie = h_loops.end();
+ i != ie;
+ ++i, ++m) {
+ hole_loops[m].swap((*i));
+ }
+ f_loops.clear();
+ h_loops.clear();
+ }
+
+ // work out the embedding of holes and faces.
+ computeContainment(face, face_loops, hole_loops, containing_faces, hole_shared_vertices);
+
+ int unassigned = (int)hole_loops.size();
+
+ std::vector<std::vector<int> > face_holes;
+ face_holes.resize(face_loops.size());
+
+ for (unsigned i = 0; i < containing_faces.size(); ++i) {
+ if (containing_faces[i].size() == 0) {
+ std::map<int, std::map<int, std::pair<unsigned, unsigned> > >::iterator it = hole_shared_vertices.find(i);
+ if (it != hole_shared_vertices.end()) {
+ std::map<int, std::pair<unsigned, unsigned> >::iterator it2 = (*it).second.begin();
+ int f = (*it2).first;
+ unsigned h_idx = (*it2).second.first;
+ unsigned f_idx = (*it2).second.second;
+
+ // patch the hole into the face directly. because
+ // f_loop[f_idx] == h_loop[h_idx], we don't need to
+ // duplicate the f_loop vertex.
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &f_loop = face_loops[f];
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &h_loop = hole_loops[i];
+
+ f_loop.insert(f_loop.begin() + f_idx + 1, h_loop.size(), NULL);
+
+ unsigned p = f_idx + 1;
+ for (unsigned a = h_idx + 1; a < h_loop.size(); ++a, ++p) {
+ f_loop[p] = h_loop[a];
+ }
+ for (unsigned a = 0; a <= h_idx; ++a, ++p) {
+ f_loop[p] = h_loop[a];
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "hook face " << f << " to hole " << i << "(vertex)" << std::endl;
+#endif
+ } else {
+ std::cerr << "uncontained hole loop does not share vertices with any face loop!" << std::endl;
+ }
+ unassigned--;
+ }
+ }
+
+
+ // work out which holes are directly contained within which faces.
+ while (unassigned) {
+ std::set<int> removed;
+
+ for (unsigned i = 0; i < containing_faces.size(); ++i) {
+ if (containing_faces[i].size() == 1) {
+ int f = containing_faces[i][0];
+ face_holes[f].push_back(i);
+#if defined(CARVE_DEBUG)
+ std::cerr << "hook face " << f << " to hole " << i << std::endl;
+#endif
+ removed.insert(f);
+ unassigned--;
+ }
+ }
+ for (std::set<int>::iterator f = removed.begin(); f != removed.end(); ++f) {
+ for (unsigned i = 0; i < containing_faces.size(); ++i) {
+ containing_faces[i].erase(std::remove(containing_faces[i].begin(),
+ containing_faces[i].end(),
+ *f),
+ containing_faces[i].end());
+ }
+ }
+ }
+
+#if 0
+ // use old templated projection code to patch holes into faces.
+ for (unsigned i = 0; i < face_loops.size(); ++i) {
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > face_hole_loops;
+ face_hole_loops.resize(face_holes[i].size());
+ for (unsigned j = 0; j < face_holes[i].size(); ++j) {
+ face_hole_loops[j].swap(hole_loops[face_holes[i][j]]);
+ }
+ if (face_hole_loops.size()) {
+
+ f_loops.push_back(carve::triangulate::incorporateHolesIntoPolygon(
+ carve::mesh::MeshSet<3>::face_t::projection_mapping(face->project),
+ face_loops[i],
+ face_hole_loops));
+ } else {
+ f_loops.push_back(face_loops[i]);
+ }
+ }
+
+#else
+ // use new 2d-only hole patching code.
+ for (size_t i = 0; i < face_loops.size(); ++i) {
+ if (!face_holes[i].size()) {
+ f_loops.push_back(face_loops[i]);
+ continue;
+ }
+
+ std::vector<std::vector<carve::geom2d::P2> > projected_poly;
+ projected_poly.resize(face_holes[i].size() + 1);
+ projected_poly[0].reserve(face_loops[i].size());
+ for (size_t j = 0; j < face_loops[i].size(); ++j) {
+ projected_poly[0].push_back(face->project(face_loops[i][j]->v));
+ }
+ for (size_t j = 0; j < face_holes[i].size(); ++j) {
+ projected_poly[j+1].reserve(hole_loops[face_holes[i][j]].size());
+ for (size_t k = 0; k < hole_loops[face_holes[i][j]].size(); ++k) {
+ projected_poly[j+1].push_back(face->project(hole_loops[face_holes[i][j]][k]->v));
+ }
+ }
+
+ std::vector<std::pair<size_t, size_t> > result = carve::triangulate::incorporateHolesIntoPolygon(projected_poly);
+
+ f_loops.push_back(std::vector<carve::mesh::MeshSet<3>::vertex_t *>());
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &out = f_loops.back();
+ out.reserve(result.size());
+ for (size_t j = 0; j < result.size(); ++j) {
+ if (result[j].first == 0) {
+ out.push_back(face_loops[i][result[j].second]);
+ } else {
+ out.push_back(hole_loops[face_holes[i][result[j].first-1]][result[j].second]);
+ }
+ }
+ }
+#endif
+ }
+
+
+
+ /**
+ * \brief Assemble the base loop for a face.
+ *
+ * The base loop is the original face loop, including vertices
+ * created by intersections crossing any of its edges.
+ *
+ * @param[in] face The face to process.
+ * @param[in] vmap
+ * @param[in] face_split_edges
+ * @param[in] divided_edges A mapping from edge pointer to sets of
+ * ordered vertices corrsponding to the intersection points
+ * on that edge.
+ * @param[out] base_loop A vector of the vertices of the base loop.
+ */
+ static void assembleBaseLoop(carve::mesh::MeshSet<3>::face_t *face,
+ const carve::csg::detail::Data &data,
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &base_loop) {
+ base_loop.clear();
+
+ // XXX: assumes that face->edges is in the same order as
+ // face->vertices. (Which it is)
+ carve::mesh::MeshSet<3>::edge_t *e = face->edge;
+ do {
+ base_loop.push_back(carve::csg::map_vertex(data.vmap, e->vert));
+
+ carve::csg::detail::EVVMap::const_iterator ev = data.divided_edges.find(e);
+
+ if (ev != data.divided_edges.end()) {
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &ev_vec = ((*ev).second);
+
+ for (size_t k = 0, ke = ev_vec.size(); k < ke;) {
+ base_loop.push_back(ev_vec[k++]);
+ }
+ }
+ e = e->next;
+ } while (e != face->edge);
+ }
+
+
+
+ // the crossing_data structure holds temporary information regarding
+ // paths, and their relationship to the loop of edges that forms the
+ // face perimeter.
+ struct crossing_data {
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> *path;
+ size_t edge_idx[2];
+
+ crossing_data(std::vector<carve::mesh::MeshSet<3>::vertex_t *> *p, size_t e1, size_t e2) : path(p) {
+ edge_idx[0] = e1; edge_idx[1] = e2;
+ }
+
+ bool operator<(const crossing_data &c) const {
+ // the sort order for paths is in order of increasing initial
+ // position on the edge loop, but decreasing final position.
+ return edge_idx[0] < c.edge_idx[0] || (edge_idx[0] == c.edge_idx[0] && edge_idx[1] > c.edge_idx[1]);
+ }
+ };
+
+
+
+ bool processCrossingEdges(carve::mesh::MeshSet<3>::face_t *face,
+ const carve::csg::VertexIntersections &vertex_intersections,
+ carve::csg::CSG::Hooks &hooks,
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &base_loop,
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &paths,
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &loops,
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &face_loops_out) {
+ const size_t N = base_loop.size();
+ std::vector<crossing_data> endpoint_indices;
+
+ endpoint_indices.reserve(paths.size());
+
+ for (size_t i = 0; i < paths.size(); ++i) {
+ endpoint_indices.push_back(crossing_data(&paths[i], N, N));
+ }
+
+ // locate endpoints of paths on the base loop.
+ for (size_t i = 0; i < N; ++i) {
+ for (size_t j = 0; j < paths.size(); ++j) {
+ // test beginning of path.
+ if (paths[j].front() == base_loop[i]) {
+ if (endpoint_indices[j].edge_idx[0] == N) {
+ endpoint_indices[j].edge_idx[0] = i;
+ } else {
+ // there is a duplicated vertex in the face perimeter. The
+ // path might attach to either of the duplicate instances
+ // so we have to work out which is the right one to attach
+ // to. We assume it's the index currently being examined,
+ // if the path heads in a direction that's internal to the
+ // angle made by the prior and next edges of the face
+ // perimeter. Otherwise, leave it as the currently
+ // selected index (until another duplicate is found, if it
+ // exists, and is tested).
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &p = *endpoint_indices[j].path;
+ const size_t pN = p.size();
+
+ carve::mesh::MeshSet<3>::vertex_t *a, *b, *c;
+ a = base_loop[(i+N-1)%N];
+ b = base_loop[i];
+ c = base_loop[(i+1)%N];
+
+ carve::mesh::MeshSet<3>::vertex_t *adj = (p[0] == base_loop[i]) ? p[1] : p[pN-2];
+
+ if (carve::geom2d::internalToAngle(face->project(c->v),
+ face->project(b->v),
+ face->project(a->v),
+ face->project(adj->v))) {
+ endpoint_indices[j].edge_idx[0] = i;
+ }
+ }
+ }
+
+ // test end of path.
+ if (paths[j].back() == base_loop[i]) {
+ if (endpoint_indices[j].edge_idx[1] == N) {
+ endpoint_indices[j].edge_idx[1] = i;
+ } else {
+ // Work out which of the duplicated vertices is the right
+ // one to attach to, as above.
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &p = *endpoint_indices[j].path;
+ const size_t pN = p.size();
+
+ carve::mesh::MeshSet<3>::vertex_t *a, *b, *c;
+ a = base_loop[(i+N-1)%N];
+ b = base_loop[i];
+ c = base_loop[(i+1)%N];
+
+ carve::mesh::MeshSet<3>::vertex_t *adj = (p[0] == base_loop[i]) ? p[1] : p[pN-2];
+
+ if (carve::geom2d::internalToAngle(face->project(c->v),
+ face->project(b->v),
+ face->project(a->v),
+ face->project(adj->v))) {
+ endpoint_indices[j].edge_idx[1] = i;
+ }
+ }
+ }
+ }
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "### N: " << N << std::endl;
+ for (size_t i = 0; i < paths.size(); ++i) {
+ std::cerr << "### path: " << i << " endpoints: " << endpoint_indices[i].edge_idx[0] << " - " << endpoint_indices[i].edge_idx[1] << std::endl;
+ }
+#endif
+
+
+ // divide paths up into those that connect to the base loop in two
+ // places (cross), and those that do not (noncross).
+ std::vector<crossing_data> cross, noncross;
+ cross.reserve(endpoint_indices.size() + 1);
+ noncross.reserve(endpoint_indices.size());
+
+ for (size_t i = 0; i < endpoint_indices.size(); ++i) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### orienting path: " << i << " endpoints: " << endpoint_indices[i].edge_idx[0] << " - " << endpoint_indices[i].edge_idx[1] << std::endl;
+#endif
+ if (endpoint_indices[i].edge_idx[0] != N && endpoint_indices[i].edge_idx[1] != N) {
+ // Orient each path correctly. Paths should progress from
+ // smaller perimeter index to larger, but if the path starts
+ // and ends at the same perimeter index, then the decision
+ // needs to be made based upon area.
+ if (endpoint_indices[i].edge_idx[0] == endpoint_indices[i].edge_idx[1]) {
+ // The path forms a loop that starts and ends at the same
+ // vertex of the perimeter. In this case, we need to orient
+ // the path so that the constructed loop has the right
+ // signed area.
+ double area = carve::geom2d::signedArea(endpoint_indices[i].path->begin() + 1,
+ endpoint_indices[i].path->end(),
+ carve::mesh::MeshSet<3>::face_t::projection_mapping(face->project));
+ std::cerr << "HITS THIS CODE - area=" << area << std::endl;
+ if (area < 0) {
+ // XXX: Create test case to check that this is the correct sign for the area.
+ std::reverse(endpoint_indices[i].path->begin(), endpoint_indices[i].path->end());
+ }
+ } else {
+ if (endpoint_indices[i].edge_idx[0] > endpoint_indices[i].edge_idx[1]) {
+ std::swap(endpoint_indices[i].edge_idx[0], endpoint_indices[i].edge_idx[1]);
+ std::reverse(endpoint_indices[i].path->begin(), endpoint_indices[i].path->end());
+ }
+ }
+ }
+
+ if (endpoint_indices[i].edge_idx[0] != N &&
+ endpoint_indices[i].edge_idx[1] != N &&
+ endpoint_indices[i].edge_idx[0] != endpoint_indices[i].edge_idx[1]) {
+ cross.push_back(endpoint_indices[i]);
+ } else {
+ noncross.push_back(endpoint_indices[i]);
+ }
+ }
+
+ // add a temporary crossing path that connects the beginning and the
+ // end of the base loop. this stops us from needing special case
+ // code to handle the left over loop after all the other crossing
+ // paths are considered.
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> base_loop_temp_path;
+ base_loop_temp_path.reserve(2);
+ base_loop_temp_path.push_back(base_loop.front());
+ base_loop_temp_path.push_back(base_loop.back());
+
+ cross.push_back(crossing_data(&base_loop_temp_path, 0, base_loop.size() - 1));
+#if defined(CARVE_DEBUG)
+ std::cerr << "### crossing edge count (with sentinel): " << cross.size() << std::endl;
+#endif
+
+ // sort paths by increasing beginning point and decreasing ending point.
+ std::sort(cross.begin(), cross.end());
+ std::sort(noncross.begin(), noncross.end());
+
+ // divide up the base loop based upon crossing paths.
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > divided_base_loop;
+ divided_base_loop.reserve(cross.size());
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> out;
+
+ for (size_t i = 0; i < cross.size(); ++i) {
+ size_t j;
+ for (j = i + 1;
+ j < cross.size() &&
+ cross[i].edge_idx[0] == cross[j].edge_idx[0] &&
+ cross[i].edge_idx[1] == cross[j].edge_idx[1];
+ ++j) {}
+ if (j - i >= 2) {
+ // when there are multiple paths that begin and end at the
+ // same point, they need to be ordered so that the constructed
+ // loops have the right orientation. this means that the loop
+ // made by taking path(i+1) forward, then path(i) backward
+ // needs to have negative area. this combined area is equal to
+ // the area of path(i+1) minus the area of path(i). in turn
+ // this means that the loop made by path path(i+1) alone has
+ // to have smaller signed area than loop made by path(i).
+ // thus, we sort paths in order of decreasing area.
+
+ std::vector<std::pair<double, std::vector<carve::mesh::MeshSet<3>::vertex_t *> *> > order;
+ order.reserve(j - i);
+ for (size_t k = i; k < j; ++k) {
+ double area = carve::geom2d::signedArea(cross[k].path->begin(),
+ cross[k].path->end(),
+ carve::mesh::MeshSet<3>::face_t::projection_mapping(face->project));
+#if defined(CARVE_DEBUG)
+ std::cerr << "### k=" << k << " area=" << area << std::endl;
+#endif
+ order.push_back(std::make_pair(-area, cross[k].path));
+ }
+ std::sort(order.begin(), order.end());
+ for (size_t k = i; k < j; ++k) {
+ cross[k].path = order[k-i].second;
+#if defined(CARVE_DEBUG)
+ std::cerr << "### post-sort k=" << k << " cross[k].path->size()=" << cross[k].path->size() << std::endl;
+#endif
+ }
+ }
+ }
+
+ for (size_t i = 0; i < cross.size(); ++i) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### i=" << i << " working on edge: " << cross[i].edge_idx[0] << " - " << cross[i].edge_idx[1] << std::endl;
+#endif
+ size_t e1_0 = cross[i].edge_idx[0];
+ size_t e1_1 = cross[i].edge_idx[1];
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &p1 = *cross[i].path;
+#if defined(CARVE_DEBUG)
+ std::cerr << "### path size = " << p1.size() << std::endl;
+#endif
+
+ out.clear();
+
+ if (i < cross.size() - 1 &&
+ cross[i+1].edge_idx[1] <= cross[i].edge_idx[1]) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### complex case" << std::endl;
+#endif
+ // complex case. crossing path with other crossing paths embedded within.
+ size_t pos = e1_0;
+
+ size_t skip = i+1;
+
+ while (pos != e1_1) {
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &p2 = *cross[skip].path;
+ size_t e2_0 = cross[skip].edge_idx[0];
+ size_t e2_1 = cross[skip].edge_idx[1];
+
+ // copy up to the beginning of the next path.
+ std::copy(base_loop.begin() + pos, base_loop.begin() + e2_0, std::back_inserter(out));
+
+ CARVE_ASSERT(base_loop[e2_0] == p2[0]);
+ // copy the next path in the right direction.
+ std::copy(p2.begin(), p2.end() - 1, std::back_inserter(out));
+
+ // move to the position of the end of the path.
+ pos = e2_1;
+
+ // advance to the next hit path.
+ do {
+ ++skip;
+ } while(skip != cross.size() && cross[skip].edge_idx[0] < e2_1);
+
+ if (skip == cross.size()) break;
+
+ // if the next hit path is past the start point of the current path, we're done.
+ if (cross[skip].edge_idx[0] >= e1_1) break;
+ }
+
+ // copy up to the end of the path.
+ std::copy(base_loop.begin() + pos, base_loop.begin() + e1_1, std::back_inserter(out));
+
+ CARVE_ASSERT(base_loop[e1_1] == p1.back());
+ std::copy(p1.rbegin(), p1.rend() - 1, std::back_inserter(out));
+ } else {
+ size_t loop_size = (e1_1 - e1_0) + (p1.size() - 1);
+ out.reserve(loop_size);
+
+ std::copy(base_loop.begin() + e1_0, base_loop.begin() + e1_1, std::back_inserter(out));
+ std::copy(p1.rbegin(), p1.rend() - 1, std::back_inserter(out));
+
+ CARVE_ASSERT(out.size() == loop_size);
+ }
+ divided_base_loop.push_back(out);
+
+#if defined(CARVE_DEBUG)
+ {
+ std::vector<carve::geom2d::P2> projected;
+ projected.reserve(out.size());
+ for (size_t n = 0; n < out.size(); ++n) {
+ projected.push_back(face->project(out[n]->v));
+ }
+
+ double A = carve::geom2d::signedArea(projected);
+ std::cerr << "### out area=" << A << std::endl;
+ CARVE_ASSERT(A <= 0);
+ }
+#endif
+ }
+
+ if (!noncross.size() && !loops.size()) {
+ populateListFromVector(divided_base_loop, face_loops_out);
+ return true;
+ }
+
+ // for each divided base loop, work out which noncrossing paths and
+ // loops are part of it. use the old algorithm to combine these into
+ // the divided base loop. if none, the divided base loop is just
+ // output.
+ std::vector<std::vector<carve::geom2d::P2> > proj;
+ std::vector<carve::geom::aabb<2> > proj_aabb;
+ proj.resize(divided_base_loop.size());
+ proj_aabb.resize(divided_base_loop.size());
+
+ // calculate an aabb for each divided base loop, to avoid expensive
+ // point-in-poly tests.
+ for (size_t i = 0; i < divided_base_loop.size(); ++i) {
+ proj[i].reserve(divided_base_loop[i].size());
+ for (size_t j = 0; j < divided_base_loop[i].size(); ++j) {
+ proj[i].push_back(face->project(divided_base_loop[i][j]->v));
+ }
+ proj_aabb[i].fit(proj[i].begin(), proj[i].end());
+ }
+
+ for (size_t i = 0; i < divided_base_loop.size(); ++i) {
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> *> inc;
+ carve::geom2d::P2 test;
+
+ // for each noncrossing path, choose an endpoint that isn't on the
+ // base loop as a test point.
+ for (size_t j = 0; j < noncross.size(); ++j) {
+ if (noncross[j].edge_idx[0] < N) {
+ if (noncross[j].path->front() == base_loop[noncross[j].edge_idx[0]]) {
+ // noncrossing paths may be loops that run from the edge, back to the same vertex.
+ if (noncross[j].path->front() == noncross[j].path->back()) {
+ CARVE_ASSERT(noncross[j].path->size() > 2);
+ test = face->project((*noncross[j].path)[1]->v);
+ } else {
+ test = face->project(noncross[j].path->back()->v);
+ }
+ } else {
+ test = face->project(noncross[j].path->front()->v);
+ }
+ } else {
+ test = face->project(noncross[j].path->front()->v);
+ }
+
+ if (proj_aabb[i].intersects(test) &&
+ carve::geom2d::pointInPoly(proj[i], test).iclass != carve::POINT_OUT) {
+ inc.push_back(noncross[j].path);
+ }
+ }
+
+ // for each loop, just test with any point.
+ for (size_t j = 0; j < loops.size(); ++j) {
+ test = face->project(loops[j].front()->v);
+
+ if (proj_aabb[i].intersects(test) &&
+ carve::geom2d::pointInPoly(proj[i], test).iclass != carve::POINT_OUT) {
+ inc.push_back(&loops[j]);
+ }
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "### divided base loop:" << i << " inc.size()=" << inc.size() << std::endl;
+ std::cerr << "### inc = [";
+ for (size_t j = 0; j < inc.size(); ++j) {
+ std::cerr << " " << inc[j];
+ }
+ std::cerr << " ]" << std::endl;
+#endif
+
+ if (inc.size()) {
+ carve::csg::V2Set face_edges;
+
+ for (size_t j = 0; j < divided_base_loop[i].size() - 1; ++j) {
+ face_edges.insert(std::make_pair(divided_base_loop[i][j],
+ divided_base_loop[i][j+1]));
+ }
+
+ face_edges.insert(std::make_pair(divided_base_loop[i].back(),
+ divided_base_loop[i].front()));
+
+ for (size_t j = 0; j < inc.size(); ++j) {
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &path = *inc[j];
+ for (size_t k = 0; k < path.size() - 1; ++k) {
+ face_edges.insert(std::make_pair(path[k], path[k+1]));
+ face_edges.insert(std::make_pair(path[k+1], path[k]));
+ }
+ }
+
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > face_loops;
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > hole_loops;
+
+ splitFace(face, face_edges, face_loops, hole_loops, vertex_intersections);
+
+ if (hole_loops.size()) {
+ mergeFacesAndHoles(face, face_loops, hole_loops, hooks);
+ }
+ std::copy(face_loops.begin(), face_loops.end(), std::back_inserter(face_loops_out));
+ } else {
+ face_loops_out.push_back(divided_base_loop[i]);
+ }
+ }
+ return true;
+ }
+
+
+
+ void composeEdgesIntoPaths(const carve::csg::V2Set &edges,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &extra_endpoints,
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &paths,
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &loops) {
+ using namespace carve::csg;
+
+ detail::VVSMap vertex_graph;
+ detail::VSet endpoints;
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> path;
+
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > temp;
+
+ // build graph from edges.
+ for (V2Set::const_iterator i = edges.begin(); i != edges.end(); ++i) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### edge: " << (*i).first << " - " << (*i).second << std::endl;
+#endif
+ vertex_graph[(*i).first].insert((*i).second);
+ vertex_graph[(*i).second].insert((*i).first);
+ }
+
+ // find the endpoints in the graph.
+ // every vertex with number of incident edges != 2 is an endpoint.
+ for (detail::VVSMap::const_iterator i = vertex_graph.begin(); i != vertex_graph.end(); ++i) {
+ if ((*i).second.size() != 2) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### endpoint: " << (*i).first << std::endl;
+#endif
+ endpoints.insert((*i).first);
+ }
+ }
+
+ // every vertex on the perimeter of the face is also an endpoint.
+ for (size_t i = 0; i < extra_endpoints.size(); ++i) {
+ if (vertex_graph.find(extra_endpoints[i]) != vertex_graph.end()) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### extra endpoint: " << extra_endpoints[i] << std::endl;
+#endif
+ endpoints.insert(extra_endpoints[i]);
+ }
+ }
+
+ while (endpoints.size()) {
+ carve::mesh::MeshSet<3>::vertex_t *v = *endpoints.begin();
+ detail::VVSMap::iterator p = vertex_graph.find(v);
+ if (p == vertex_graph.end()) {
+ endpoints.erase(endpoints.begin());
+ continue;
+ }
+
+ path.clear();
+ path.push_back(v);
+
+ for (;;) {
+ CARVE_ASSERT(p != vertex_graph.end());
+
+ // pick a connected vertex to move to.
+ if ((*p).second.size() == 0) break;
+
+ carve::mesh::MeshSet<3>::vertex_t *n = *((*p).second.begin());
+ detail::VVSMap::iterator q = vertex_graph.find(n);
+
+ // remove the link.
+ (*p).second.erase(n);
+ (*q).second.erase(v);
+
+ // move on.
+ v = n;
+ path.push_back(v);
+
+ if ((*p).second.size() == 0) vertex_graph.erase(p);
+ if ((*q).second.size() == 0) {
+ vertex_graph.erase(q);
+ q = vertex_graph.end();
+ }
+
+ p = q;
+
+ if (v == path[0] || p == vertex_graph.end() || endpoints.find(v) != endpoints.end()) break;
+ }
+ CARVE_ASSERT(endpoints.find(path.back()) != endpoints.end());
+
+ temp.push_back(path);
+ }
+
+ populateVectorFromList(temp, paths);
+ temp.clear();
+
+ // now only loops should remain in the graph.
+ while (vertex_graph.size()) {
+ detail::VVSMap::iterator p = vertex_graph.begin();
+ carve::mesh::MeshSet<3>::vertex_t *v = (*p).first;
+ CARVE_ASSERT((*p).second.size() == 2);
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> path;
+ path.clear();
+ path.push_back(v);
+
+ for (;;) {
+ CARVE_ASSERT(p != vertex_graph.end());
+ // pick a connected vertex to move to.
+
+ carve::mesh::MeshSet<3>::vertex_t *n = *((*p).second.begin());
+ detail::VVSMap::iterator q = vertex_graph.find(n);
+
+ // remove the link.
+ (*p).second.erase(n);
+ (*q).second.erase(v);
+
+ // move on.
+ v = n;
+ path.push_back(v);
+
+ if ((*p).second.size() == 0) vertex_graph.erase(p);
+ if ((*q).second.size() == 0) vertex_graph.erase(q);
+
+ p = q;
+
+ if (v == path[0]) break;
+ }
+
+ temp.push_back(path);
+ }
+ populateVectorFromList(temp, loops);
+ }
+
+
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ void dumpFacesAndHoles(const std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &face_loops,
+ const std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &hole_loops) {
+ std::map<carve::mesh::MeshSet<3>::vertex_t *, size_t> v_included;
+
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator
+ i = face_loops.begin(); i != face_loops.end(); ++i) {
+ for (size_t j = 0; j < (*i).size(); ++j) {
+ if (v_included.find((*i)[j]) == v_included.end()) {
+ size_t &p = v_included[(*i)[j]];
+ p = v_included.size() - 1;
+ }
+ }
+ }
+
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator
+ i = hole_loops.begin(); i != hole_loops.end(); ++i) {
+ for (size_t j = 0; j < (*i).size(); ++j) {
+ if (v_included.find((*i)[j]) == v_included.end()) {
+ size_t &p = v_included[(*i)[j]];
+ p = v_included.size() - 1;
+ }
+ }
+ }
+
+ carve::line::PolylineSet fh;
+ fh.vertices.resize(v_included.size());
+ for (std::map<carve::mesh::MeshSet<3>::vertex_t *, size_t>::const_iterator
+ i = v_included.begin(); i != v_included.end(); ++i) {
+ fh.vertices[(*i).second].v = (*i).first->v;
+ }
+
+ {
+ std::vector<size_t> connected;
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator
+ i = face_loops.begin(); i != face_loops.end(); ++i) {
+ connected.clear();
+ for (size_t j = 0; j < (*i).size(); ++j) {
+ connected.push_back(v_included[(*i)[j]]);
+ }
+ fh.addPolyline(true, connected.begin(), connected.end());
+ }
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator
+ i = hole_loops.begin(); i != hole_loops.end(); ++i) {
+ connected.clear();
+ for (size_t j = 0; j < (*i).size(); ++j) {
+ connected.push_back(v_included[(*i)[j]]);
+ }
+ fh.addPolyline(true, connected.begin(), connected.end());
+ }
+ }
+
+ std::string out("/tmp/hole_merge.ply");
+ ::writePLY(out, &fh, true);
+ }
+#endif
+
+
+
+ template<typename T>
+ std::string ptrstr(const T *ptr) {
+ std::ostringstream s;
+ s << ptr;
+ return s.str().substr(1);
+ }
+
+ void dumpAsGraph(carve::mesh::MeshSet<3>::face_t *face,
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &base_loop,
+ const carve::csg::V2Set &face_edges,
+ const carve::csg::V2Set &split_edges) {
+ std::map<carve::mesh::MeshSet<3>::vertex_t *, carve::geom2d::P2> proj;
+
+ for (size_t i = 0; i < base_loop.size(); ++i) {
+ proj[base_loop[i]] = face->project(base_loop[i]->v);
+ }
+ for (carve::csg::V2Set::const_iterator i = split_edges.begin(); i != split_edges.end(); ++i) {
+ proj[(*i).first] = face->project((*i).first->v);
+ proj[(*i).second] = face->project((*i).second->v);
+ }
+
+ {
+ carve::geom2d::P2 lo, hi;
+ std::map<carve::mesh::MeshSet<3>::vertex_t *, carve::geom2d::P2>::iterator i;
+ i = proj.begin();
+ lo = hi = (*i).second;
+ for (; i != proj.end(); ++i) {
+ lo.x = std::min(lo.x, (*i).second.x); lo.y = std::min(lo.y, (*i).second.y);
+ hi.x = std::max(hi.x, (*i).second.x); hi.y = std::max(hi.y, (*i).second.y);
+ }
+ for (i = proj.begin(); i != proj.end(); ++i) {
+ (*i).second.x = ((*i).second.x - lo.x) / (hi.x - lo.x) * 10;
+ (*i).second.y = ((*i).second.y - lo.y) / (hi.y - lo.y) * 10;
+ }
+ }
+
+ std::cerr << "graph G {\nnode [shape=circle,style=filled,fixedsize=true,width=\".1\",height=\".1\"];\nedge [len=4]\n";
+ for (std::map<carve::mesh::MeshSet<3>::vertex_t *, carve::geom2d::P2>::iterator i = proj.begin(); i != proj.end(); ++i) {
+ std::cerr << " " << ptrstr((*i).first) << " [pos=\"" << (*i).second.x << "," << (*i).second.y << "!\"];\n";
+ }
+ for (carve::csg::V2Set::const_iterator i = face_edges.begin(); i != face_edges.end(); ++i) {
+ std::cerr << " " << ptrstr((*i).first) << " -- " << ptrstr((*i).second) << ";\n";
+ }
+ for (carve::csg::V2Set::const_iterator i = split_edges.begin(); i != split_edges.end(); ++i) {
+ std::cerr << " " << ptrstr((*i).first) << " -- " << ptrstr((*i).second) << " [color=\"blue\"];\n";
+ }
+ std::cerr << "};\n";
+ }
+
+ void generateOneFaceLoop(carve::mesh::MeshSet<3>::face_t *face,
+ const carve::csg::detail::Data &data,
+ const carve::csg::VertexIntersections &vertex_intersections,
+ carve::csg::CSG::Hooks &hooks,
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > &face_loops) {
+ using namespace carve::csg;
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> base_loop;
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > hole_loops;
+
+ assembleBaseLoop(face, data, base_loop);
+
+ detail::FV2SMap::const_iterator fse_iter = data.face_split_edges.find(face);
+
+ face_loops.clear();
+
+ if (fse_iter == data.face_split_edges.end()) {
+ // simple case: input face is output face (possibly with the
+ // addition of vertices at intersections).
+ face_loops.push_back(base_loop);
+ return;
+ }
+
+ // complex case: input face is split into multiple output faces.
+ V2Set face_edges;
+
+ for (size_t j = 0, je = base_loop.size() - 1; j < je; ++j) {
+ face_edges.insert(std::make_pair(base_loop[j], base_loop[j + 1]));
+ }
+ face_edges.insert(std::make_pair(base_loop.back(), base_loop[0]));
+
+ // collect the split edges (as long as they're not on the perimeter)
+ const detail::FV2SMap::mapped_type &fse = ((*fse_iter).second);
+
+ // split_edges contains all of the edges created by intersections
+ // that aren't part of the perimeter of the face.
+ V2Set split_edges;
+
+ for (detail::FV2SMap::mapped_type::const_iterator
+ j = fse.begin(), je = fse.end();
+ j != je;
+ ++j) {
+ carve::mesh::MeshSet<3>::vertex_t *v1 = ((*j).first), *v2 = ((*j).second);
+
+ if (face_edges.find(std::make_pair(v1, v2)) == face_edges.end() &&
+ face_edges.find(std::make_pair(v2, v1)) == face_edges.end()) {
+
+ split_edges.insert(ordered_edge(v1, v2));
+ }
+ }
+
+ // face is unsplit.
+ if (!split_edges.size()) {
+ face_loops.push_back(base_loop);
+ return;
+ }
+
+#if defined(CARVE_DEBUG)
+ dumpAsGraph(face, base_loop, face_edges, split_edges);
+#endif
+
+#if 0
+ // old face splitting method.
+ for (V2Set::const_iterator i = split_edges.begin(); i != split_edges.end(); ++i) {
+ face_edges.insert(std::make_pair((*i).first, (*i).second));
+ face_edges.insert(std::make_pair((*i).second, (*i).first));
+ }
+ splitFace(face, face_edges, face_loops, hole_loops, vertex_intersections);
+
+ if (hole_loops.size()) {
+ mergeFacesAndHoles(face, face_loops, hole_loops, hooks);
+ }
+ return;
+#endif
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "### split_edges.size(): " << split_edges.size() << std::endl;
+#endif
+ if (split_edges.size() == 1) {
+ // handle the common case of a face that's split by a single edge.
+ carve::mesh::MeshSet<3>::vertex_t *v1 = split_edges.begin()->first;
+ carve::mesh::MeshSet<3>::vertex_t *v2 = split_edges.begin()->second;
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *>::iterator vi1 = std::find(base_loop.begin(), base_loop.end(), v1);
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *>::iterator vi2 = std::find(base_loop.begin(), base_loop.end(), v2);
+
+ if (vi1 != base_loop.end() && vi2 != base_loop.end()) {
+ // this is an inserted edge that connects two points on the base loop. nice and simple.
+ if (vi2 < vi1) std::swap(vi1, vi2);
+
+ size_t loop1_size = vi2 - vi1 + 1;
+ size_t loop2_size = base_loop.size() + 2 - loop1_size;
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> l1;
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> l2;
+
+ l1.reserve(loop1_size);
+ l2.reserve(loop2_size);
+
+ std::copy(vi1, vi2+1, std::back_inserter(l1));
+ std::copy(vi2, base_loop.end(), std::back_inserter(l2));
+ std::copy(base_loop.begin(), vi1+1, std::back_inserter(l2));
+
+ CARVE_ASSERT(l1.size() == loop1_size);
+ CARVE_ASSERT(l2.size() == loop2_size);
+
+ face_loops.push_back(l1);
+ face_loops.push_back(l2);
+
+ return;
+ }
+ }
+
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > paths;
+ std::vector<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > loops;
+
+ // Take the split edges and compose them into a set of paths and
+ // loops. Loops are edge paths that do not touch the boundary, or
+ // any other path or loop - they are holes cut out of the centre
+ // of the face. Paths are made up of all the other edge segments,
+ // and start and end at the face perimeter, or where they meet
+ // another path (sometimes both cases will be true).
+ composeEdgesIntoPaths(split_edges, base_loop, paths, loops);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "### paths.size(): " << paths.size() << std::endl;
+ std::cerr << "### loops.size(): " << loops.size() << std::endl;
+#endif
+
+ if (!paths.size()) {
+ // Loops found by composeEdgesIntoPaths() can't touch the
+ // boundary, or each other, so we can deal with the no paths
+ // case simply. The hole loops are the loops produced by
+ // composeEdgesIntoPaths() oriented so that their signed area
+ // wrt. the face is negative. The face loops are the base loop
+ // plus the hole loops, reversed.
+ face_loops.push_back(base_loop);
+
+ for (size_t i = 0; i < loops.size(); ++i) {
+ hole_loops.push_back(std::vector<carve::mesh::MeshSet<3>::vertex_t *>());
+ hole_loops.back().reserve(loops[i].size()-1);
+ std::copy(loops[i].begin(), loops[i].end()-1, std::back_inserter(hole_loops.back()));
+
+ face_loops.push_back(std::vector<carve::mesh::MeshSet<3>::vertex_t *>());
+ face_loops.back().reserve(loops[i].size()-1);
+ std::copy(loops[i].rbegin()+1, loops[i].rend(), std::back_inserter(face_loops.back()));
+
+ std::vector<carve::geom2d::P2> projected;
+ projected.reserve(face_loops.back().size());
+ for (size_t i = 0; i < face_loops.back().size(); ++i) {
+ projected.push_back(face->project(face_loops.back()[i]->v));
+ }
+
+ if (carve::geom2d::signedArea(projected) > 0.0) {
+ std::swap(face_loops.back(), hole_loops.back());
+ }
+ }
+
+ // if there are holes, then they need to be merged with faces.
+ if (hole_loops.size()) {
+ mergeFacesAndHoles(face, face_loops, hole_loops, hooks);
+ }
+ } else {
+ if (!processCrossingEdges(face, vertex_intersections, hooks, base_loop, paths, loops, face_loops)) {
+ // complex case - fall back to old edge tracing code.
+#if defined(CARVE_DEBUG)
+ std::cerr << "### processCrossingEdges failed. Falling back to edge tracing code" << std::endl;
+#endif
+ for (V2Set::const_iterator i = split_edges.begin(); i != split_edges.end(); ++i) {
+ face_edges.insert(std::make_pair((*i).first, (*i).second));
+ face_edges.insert(std::make_pair((*i).second, (*i).first));
+ }
+ splitFace(face, face_edges, face_loops, hole_loops, vertex_intersections);
+
+ if (hole_loops.size()) {
+ mergeFacesAndHoles(face, face_loops, hole_loops, hooks);
+ }
+ }
+ }
+ }
+
+
+
+}
+
+
+
+/**
+ * \brief Build a set of face loops for all (split) faces of a Polyhedron.
+ *
+ * @param[in] poly The polyhedron to process
+ * @param vmap
+ * @param face_split_edges
+ * @param divided_edges
+ * @param[out] face_loops_out The resulting face loops
+ *
+ * @return The number of edges generated.
+ */
+size_t carve::csg::CSG::generateFaceLoops(carve::mesh::MeshSet<3> *poly,
+ const detail::Data &data,
+ FaceLoopList &face_loops_out) {
+ static carve::TimingName FUNC_NAME("CSG::generateFaceLoops()");
+ carve::TimingBlock block(FUNC_NAME);
+ size_t generated_edges = 0;
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> base_loop;
+ std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> > face_loops;
+
+ for (carve::mesh::MeshSet<3>::face_iter i = poly->faceBegin(); i != poly->faceEnd(); ++i) {
+ carve::mesh::MeshSet<3>::face_t *face = (*i);
+
+#if defined(CARVE_DEBUG)
+ double in_area = 0.0, out_area = 0.0;
+
+ {
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> base_loop;
+ assembleBaseLoop(face, data, base_loop);
+
+ {
+ std::vector<carve::geom2d::P2> projected;
+ projected.reserve(base_loop.size());
+ for (size_t n = 0; n < base_loop.size(); ++n) {
+ projected.push_back(face->project(base_loop[n]->v));
+ }
+
+ in_area = carve::geom2d::signedArea(projected);
+ std::cerr << "### in_area=" << in_area << std::endl;
+ }
+ }
+#endif
+
+ generateOneFaceLoop(face, data, vertex_intersections, hooks, face_loops);
+
+#if defined(CARVE_DEBUG)
+ {
+ V2Set face_edges;
+
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> base_loop;
+ assembleBaseLoop(face, data, base_loop);
+
+ for (size_t j = 0, je = base_loop.size() - 1; j < je; ++j) {
+ face_edges.insert(std::make_pair(base_loop[j+1], base_loop[j]));
+ }
+ face_edges.insert(std::make_pair(base_loop[0], base_loop.back()));
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator fli = face_loops.begin(); fli != face_loops.end(); ++ fli) {
+
+ {
+ std::vector<carve::geom2d::P2> projected;
+ projected.reserve((*fli).size());
+ for (size_t n = 0; n < (*fli).size(); ++n) {
+ projected.push_back(face->project((*fli)[n]->v));
+ }
+
+ double area = carve::geom2d::signedArea(projected);
+ std::cerr << "### loop_area[" << std::distance((std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator)face_loops.begin(), fli) << "]=" << area << std::endl;
+ out_area += area;
+ }
+
+ const std::vector<carve::mesh::MeshSet<3>::vertex_t *> &fl = *fli;
+ for (size_t j = 0, je = fl.size() - 1; j < je; ++j) {
+ face_edges.insert(std::make_pair(fl[j], fl[j+1]));
+ }
+ face_edges.insert(std::make_pair(fl.back(), fl[0]));
+ }
+ for (V2Set::const_iterator j = face_edges.begin(); j != face_edges.end(); ++j) {
+ if (face_edges.find(std::make_pair((*j).second, (*j).first)) == face_edges.end()) {
+ std::cerr << "### error: unmatched edge [" << (*j).first << "-" << (*j).second << "]" << std::endl;
+ }
+ }
+ std::cerr << "### out_area=" << out_area << std::endl;
+ if (out_area != in_area) {
+ std::cerr << "### error: area does not match. delta = " << (out_area - in_area) << std::endl;
+ // CARVE_ASSERT(fabs(out_area - in_area) < 1e-5);
+ }
+ }
+#endif
+
+ // now record all the resulting face loops.
+#if defined(CARVE_DEBUG)
+ std::cerr << "### ======" << std::endl;
+#endif
+ for (std::list<std::vector<carve::mesh::MeshSet<3>::vertex_t *> >::const_iterator
+ f = face_loops.begin(), fe = face_loops.end();
+ f != fe;
+ ++f) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "### loop:";
+ for (size_t i = 0; i < (*f).size(); ++i) {
+ std::cerr << " " << (*f)[i];
+ }
+ std::cerr << std::endl;
+#endif
+
+ face_loops_out.append(new FaceLoop(face, *f));
+ generated_edges += (*f).size();
+ }
+#if defined(CARVE_DEBUG)
+ std::cerr << "### ======" << std::endl;
+#endif
+ }
+ return generated_edges;
+}
diff --git a/extern/carve/lib/intersect_group.cpp b/extern/carve/lib/intersect_group.cpp
new file mode 100644
index 00000000000..a1528569c01
--- /dev/null
+++ b/extern/carve/lib/intersect_group.cpp
@@ -0,0 +1,232 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/timing.hpp>
+
+#include "csg_detail.hpp"
+#include "intersect_common.hpp"
+
+void carve::csg::CSG::makeEdgeMap(const carve::csg::FaceLoopList &loops,
+ size_t edge_count,
+ detail::LoopEdges &edge_map) {
+#if defined(UNORDERED_COLLECTIONS_SUPPORT_RESIZE)
+ edge_map.resize(edge_count);
+#endif
+
+ for (carve::csg::FaceLoop *i = loops.head; i; i = i->next) {
+ edge_map.addFaceLoop(i);
+ i->group = NULL;
+ }
+}
+
+#include <carve/polyline.hpp>
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+void writePLY(const std::string &out_file, const carve::mesh::MeshSet<3> *poly, bool ascii);
+void writePLY(const std::string &out_file, const carve::line::PolylineSet *lines, bool ascii);
+#endif
+
+void carve::csg::CSG::findSharedEdges(const detail::LoopEdges &edge_map_a,
+ const detail::LoopEdges &edge_map_b,
+ V2Set &shared_edges) {
+ for (detail::LoopEdges::const_iterator
+ i = edge_map_a.begin(), e = edge_map_a.end();
+ i != e;
+ ++i) {
+ detail::LoopEdges::const_iterator j = edge_map_b.find((*i).first);
+ if (j != edge_map_b.end()) {
+ shared_edges.insert((*i).first);
+ }
+ }
+
+#if defined(CARVE_DEBUG)
+ detail::VVSMap edge_graph;
+
+ for (V2Set::const_iterator i = shared_edges.begin(); i != shared_edges.end(); ++i) {
+ edge_graph[(*i).first].insert((*i).second);
+ edge_graph[(*i).second].insert((*i).first);
+ }
+
+ std::cerr << "*** testing consistency of edge graph" << std::endl;
+ for (detail::VVSMap::const_iterator i = edge_graph.begin(); i != edge_graph.end(); ++i) {
+ if ((*i).second.size() > 2) {
+ std::cerr << "branch at: " << (*i).first << std::endl;
+ }
+ if ((*i).second.size() == 1) {
+ std::cerr << "endpoint at: " << (*i).first << std::endl;
+ std::cerr << "coordinate: " << (*i).first->v << std::endl;
+ }
+ }
+
+ {
+ carve::line::PolylineSet intersection_graph;
+ intersection_graph.vertices.resize(edge_graph.size());
+ std::map<const carve::mesh::MeshSet<3>::vertex_t *, size_t> vmap;
+
+ size_t j = 0;
+ for (detail::VVSMap::const_iterator i = edge_graph.begin(); i != edge_graph.end(); ++i) {
+ intersection_graph.vertices[j].v = (*i).first->v;
+ vmap[(*i).first] = j++;
+ }
+
+ while (edge_graph.size()) {
+ detail::VVSMap::iterator prior_i = edge_graph.begin();
+ carve::mesh::MeshSet<3>::vertex_t *prior = (*prior_i).first;
+ std::vector<size_t> connected;
+ connected.push_back(vmap[prior]);
+ while (prior_i != edge_graph.end() && (*prior_i).second.size()) {
+ carve::mesh::MeshSet<3>::vertex_t *next = *(*prior_i).second.begin();
+ detail::VVSMap::iterator next_i = edge_graph.find(next);
+ CARVE_ASSERT(next_i != edge_graph.end());
+ connected.push_back(vmap[next]);
+ (*prior_i).second.erase(next);
+ (*next_i).second.erase(prior);
+ if (!(*prior_i).second.size()) { edge_graph.erase(prior_i); prior_i = edge_graph.end(); }
+ if (!(*next_i).second.size()) { edge_graph.erase(next_i); next_i = edge_graph.end(); }
+ prior_i = next_i;
+ prior = next;
+ }
+ bool closed = connected.front() == connected.back();
+ for (size_t k = 0; k < connected.size(); ++k) {
+ std::cerr << " " << connected[k];
+ }
+ std::cerr << std::endl;
+ intersection_graph.addPolyline(closed, connected.begin(), connected.end());
+ }
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ std::string out("/tmp/intersection.ply");
+ ::writePLY(out, &intersection_graph, true);
+#endif
+ }
+
+ std::cerr << "*** edge graph consistency test done" << std::endl;
+#endif
+}
+
+
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+static carve::mesh::MeshSet<3> *groupToPolyhedron(const carve::csg::FaceLoopGroup &grp) {
+ const carve::csg::FaceLoopList &fl = grp.face_loops;
+ std::vector<carve::mesh::MeshSet<3>::face_t *> faces;
+ faces.reserve(fl.size());
+ for (carve::csg::FaceLoop *f = fl.head; f; f = f->next) {
+ faces.push_back(f->orig_face->create(f->vertices.begin(), f->vertices.end(), false));
+ }
+ carve::mesh::MeshSet<3> *poly = new carve::mesh::MeshSet<3>(faces);
+
+ poly->canonicalize();
+ return poly;
+}
+#endif
+
+
+
+void carve::csg::CSG::groupFaceLoops(carve::mesh::MeshSet<3> *src,
+ carve::csg::FaceLoopList &face_loops,
+ const carve::csg::detail::LoopEdges &loop_edges,
+ const carve::csg::V2Set &no_cross,
+ carve::csg::FLGroupList &out_loops) {
+ // Find all the groups of face loops that are connected by edges
+ // that are not part of no_cross.
+ // this could potentially be done with a disjoint set data-structure.
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ static int call_num = 0;
+ call_num++;
+#endif
+
+ static carve::TimingName GROUP_FACE_LOOPS("groupFaceLoops()");
+
+ carve::TimingBlock block(GROUP_FACE_LOOPS);
+
+ int tag_num = 0;
+ while (face_loops.size()) {
+ out_loops.push_back(FaceLoopGroup(src));
+ carve::csg::FaceLoopGroup &group = (out_loops.back());
+ carve::csg::FaceLoopList &curr = (group.face_loops);
+ carve::csg::V2Set &perim = (group.perimeter);
+
+ carve::csg::FaceLoop *expand = face_loops.head;
+
+ expand->group = &group;
+ face_loops.remove(expand);
+ curr.append(expand);
+
+ while (expand) {
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> &loop = (expand->vertices);
+ carve::mesh::MeshSet<3>::vertex_t *v1, *v2;
+
+ v1 = loop.back();
+ for (size_t i = 0; i < loop.size(); ++i) {
+ v2 = loop[i];
+
+ carve::csg::V2Set::const_iterator nc = no_cross.find(std::make_pair(v1, v2));
+ if (nc == no_cross.end()) {
+ carve::csg::detail::LoopEdges::const_iterator j;
+
+ j = loop_edges.find(std::make_pair(v1, v2));
+ if (j != loop_edges.end()) {
+ for (std::list<carve::csg::FaceLoop *>::const_iterator
+ k = (*j).second.begin(), ke = (*j).second.end();
+ k != ke; ++k) {
+ if ((*k)->group != NULL ||
+ (*k)->orig_face->mesh != expand->orig_face->mesh) continue;
+ face_loops.remove((*k));
+ curr.append((*k));
+ (*k)->group = &group;
+ }
+ }
+
+ j = loop_edges.find(std::make_pair(v2, v1));
+ if (j != loop_edges.end()) {
+ for (std::list<carve::csg::FaceLoop *>::const_iterator
+ k = (*j).second.begin(), ke = (*j).second.end();
+ k != ke; ++k) {
+ if ((*k)->group != NULL ||
+ (*k)->orig_face->mesh != expand->orig_face->mesh) continue;
+ face_loops.remove((*k));
+ curr.append((*k));
+ (*k)->group = &group;
+ }
+ }
+ } else {
+ perim.insert(std::make_pair(v1, v2));
+ }
+ v1 = v2;
+ }
+ expand = expand->next;
+ }
+ tag_num++;
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ {
+ carve::mesh::MeshSet<3> *poly = groupToPolyhedron(group);
+ char buf[128];
+ sprintf(buf, "/tmp/group-%d-%p.ply", call_num, &curr);
+ std::string out(buf);
+ ::writePLY(out, poly, false);
+ delete poly;
+ }
+#endif
+ }
+}
diff --git a/extern/carve/lib/intersect_half_classify_group.cpp b/extern/carve/lib/intersect_half_classify_group.cpp
new file mode 100644
index 00000000000..97915c784a0
--- /dev/null
+++ b/extern/carve/lib/intersect_half_classify_group.cpp
@@ -0,0 +1,199 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/debug_hooks.hpp>
+
+#include <list>
+#include <set>
+#include <iostream>
+
+#include <algorithm>
+
+#include "intersect_common.hpp"
+#include "intersect_classify_common.hpp"
+#include "intersect_classify_common_impl.hpp"
+
+namespace carve {
+ namespace csg {
+
+ namespace {
+ struct GroupPoly : public CSG::Collector {
+ carve::mesh::MeshSet<3> *want_groups_from;
+ std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> > &out;
+
+ GroupPoly(carve::mesh::MeshSet<3> *poly,
+ std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> > &_out) : CSG::Collector(), want_groups_from(poly), out(_out) {
+ }
+
+ virtual ~GroupPoly() {
+ }
+
+ virtual void collect(FaceLoopGroup *grp, CSG::Hooks & /* hooks */) {
+ if (grp->face_loops.head->orig_face->mesh->meshset != want_groups_from) return;
+
+ std::list<ClassificationInfo> &cinfo = (grp->classification);
+ if (cinfo.size() == 0) {
+ std::cerr << "WARNING! group " << grp << " has no classification info!" << std::endl;
+ return;
+ }
+ // XXX: check all the cinfo elements for consistency.
+ FaceClass fc = cinfo.front().classification;
+
+ std::vector<carve::mesh::MeshSet<3>::face_t *> faces;
+ faces.reserve(grp->face_loops.size());
+ for (FaceLoop *loop = grp->face_loops.head; loop != NULL; loop = loop->next) {
+ faces.push_back(loop->orig_face->create(loop->vertices.begin(), loop->vertices.end(), false));
+ }
+
+ out.push_back(std::make_pair(fc, new carve::mesh::MeshSet<3>(faces)));
+ }
+
+ virtual carve::mesh::MeshSet<3> *done(CSG::Hooks & /* hooks */) {
+ return NULL;
+ }
+ };
+
+ class FaceMaker {
+ public:
+
+ bool pointOn(VertexClassification &vclass, FaceLoop *f, size_t index) const {
+ return vclass[f->vertices[index]].cls[0] == POINT_ON;
+ }
+
+ void explain(FaceLoop *f, size_t index, PointClass pc) const {
+#if defined(CARVE_DEBUG)
+ std::cerr << "face loop " << f << " from poly b is easy because vertex " << index << " (" << f->vertices[index]->v << ") is " << ENUM(pc) << std::endl;
+#endif
+ }
+ };
+
+ class HalfClassifyFaceGroups {
+ HalfClassifyFaceGroups &operator=(const HalfClassifyFaceGroups &);
+
+ public:
+ std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> > &b_out;
+ CSG::Hooks &hooks;
+
+ HalfClassifyFaceGroups(std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> > &c, CSG::Hooks &h) : b_out(c), hooks(h) {
+ }
+
+ void classifySimple(FLGroupList &a_loops_grouped,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & /* vclass */,
+ carve::mesh::MeshSet<3> *poly_a,
+ carve::mesh::MeshSet<3> *poly_b) const {
+ GroupPoly group_poly(poly_b, b_out);
+ performClassifySimpleOnFaceGroups(a_loops_grouped, b_loops_grouped, poly_a, poly_b, group_poly, hooks);
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of simple on groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ void classifyEasy(FLGroupList & /* a_loops_grouped */,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & vclass,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree) const {
+ GroupPoly group_poly(poly_b, b_out);
+ performClassifyEasyFaceGroups(b_loops_grouped, poly_a, poly_a_rtree, vclass, FaceMaker(), group_poly, hooks);
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of easy groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ void classifyHard(FLGroupList & /* a_loops_grouped */,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & /* vclass */,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree) const {
+ GroupPoly group_poly(poly_b, b_out);
+ performClassifyHardFaceGroups(b_loops_grouped, poly_a, poly_a_rtree, FaceMaker(), group_poly, hooks);
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of hard groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+
+ }
+
+ void faceLoopWork(FLGroupList & /* a_loops_grouped */,
+ FLGroupList &b_loops_grouped,
+ VertexClassification & /* vclass */,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree) const {
+ GroupPoly group_poly(poly_b, b_out);
+ performFaceLoopWork(poly_a, poly_a_rtree, b_loops_grouped, *this, group_poly, hooks);
+ }
+
+ void postRemovalCheck(FLGroupList & /* a_loops_grouped */,
+ FLGroupList &b_loops_grouped) const {
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removal of on groups: " << b_loops_grouped.size() << " b groups" << std::endl;
+#endif
+ }
+
+ bool faceLoopSanityChecker(FaceLoopGroup &i) const {
+ return false;
+ return i.face_loops.size() != 1;
+ }
+
+ void finish(FLGroupList &a_loops_grouped,FLGroupList &b_loops_grouped) const {
+#if defined(CARVE_DEBUG)
+ if (a_loops_grouped.size() || b_loops_grouped.size())
+ std::cerr << "UNCLASSIFIED! a=" << a_loops_grouped.size() << ", b=" << b_loops_grouped.size() << std::endl;
+#endif
+ }
+ };
+ }
+
+ void CSG::halfClassifyFaceGroups(const V2Set & /* shared_edges */,
+ VertexClassification &vclass,
+ carve::mesh::MeshSet<3> *poly_a,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_a_rtree,
+ FLGroupList &a_loops_grouped,
+ const detail::LoopEdges & /* a_edge_map */,
+ carve::mesh::MeshSet<3> *poly_b,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *poly_b_rtree,
+ FLGroupList &b_loops_grouped,
+ const detail::LoopEdges & /* b_edge_map */,
+ std::list<std::pair<FaceClass, carve::mesh::MeshSet<3> *> > &b_out) {
+ HalfClassifyFaceGroups classifier(b_out, hooks);
+ GroupPoly group_poly(poly_b, b_out);
+ performClassifyFaceGroups(
+ a_loops_grouped,
+ b_loops_grouped,
+ vclass,
+ poly_a,
+ poly_a_rtree,
+ poly_b,
+ poly_b_rtree,
+ classifier,
+ group_poly,
+ hooks);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/intersection.cpp b/extern/carve/lib/intersection.cpp
new file mode 100644
index 00000000000..2aa97131f7f
--- /dev/null
+++ b/extern/carve/lib/intersection.cpp
@@ -0,0 +1,92 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <algorithm>
+
+#include <carve/carve.hpp>
+#include <carve/poly.hpp>
+#include <carve/timing.hpp>
+#include <carve/intersection.hpp>
+
+
+
+void carve::csg::Intersections::collect(const IObj &obj,
+ std::vector<carve::mesh::MeshSet<3>::vertex_t *> *collect_v,
+ std::vector<carve::mesh::MeshSet<3>::edge_t *> *collect_e,
+ std::vector<carve::mesh::MeshSet<3>::face_t *> *collect_f) const {
+ carve::csg::Intersections::const_iterator i = find(obj);
+ if (i != end()) {
+ Intersections::mapped_type::const_iterator a, b;
+ for (a = (*i).second.begin(), b = (*i).second.end(); a != b; ++a) {
+ switch ((*a).first.obtype) {
+ case carve::csg::IObj::OBTYPE_VERTEX:
+ if (collect_v) collect_v->push_back((*a).first.vertex);
+ break;
+ case carve::csg::IObj::OBTYPE_EDGE:
+ if (collect_e) collect_e->push_back((*a).first.edge);
+ break;
+ case carve::csg::IObj::OBTYPE_FACE:
+ if (collect_f) collect_f->push_back((*a).first.face);
+ break;
+ default:
+ throw carve::exception("should not happen " __FILE__ ":" XSTR(__LINE__));
+ }
+ }
+ }
+}
+
+
+
+bool carve::csg::Intersections::intersectsFace(carve::mesh::MeshSet<3>::vertex_t *v,
+ carve::mesh::MeshSet<3>::face_t *f) const {
+ const_iterator i = find(v);
+ if (i != end()) {
+ mapped_type::const_iterator a, b;
+
+ for (a = (*i).second.begin(), b = (*i).second.end(); a != b; ++a) {
+ switch ((*a).first.obtype) {
+ case IObj::OBTYPE_VERTEX: {
+ const carve::mesh::MeshSet<3>::edge_t *edge = f->edge;
+ do {
+ if (edge->vert == (*a).first.vertex) return true;
+ edge = edge->next;
+ } while (edge != f->edge);
+ break;
+ }
+ case carve::csg::IObj::OBTYPE_EDGE: {
+ const carve::mesh::MeshSet<3>::edge_t *edge = f->edge;
+ do {
+ if (edge == (*a).first.edge) return true;
+ edge = edge->next;
+ } while (edge != f->edge);
+ break;
+ }
+ case carve::csg::IObj::OBTYPE_FACE: {
+ if ((*a).first.face == f) return true;
+ break;
+ }
+ default:
+ throw carve::exception("should not happen " __FILE__ ":" XSTR(__LINE__));
+ }
+ }
+ }
+ return false;
+}
diff --git a/extern/carve/lib/math.cpp b/extern/carve/lib/math.cpp
new file mode 100644
index 00000000000..811312c313e
--- /dev/null
+++ b/extern/carve/lib/math.cpp
@@ -0,0 +1,347 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/math.hpp>
+#include <carve/matrix.hpp>
+
+#include <iostream>
+#include <limits>
+
+#include <stdio.h>
+
+#define M_2PI_3 2.0943951023931953
+#define M_SQRT_3_4 0.8660254037844386
+#define EPS std::numeric_limits<double>::epsilon()
+
+namespace carve {
+ namespace math {
+
+ struct Root {
+ double root;
+ int multiplicity;
+
+ Root(double r) : root(r), multiplicity(1) {}
+ Root(double r, int m) : root(r), multiplicity(m) {}
+ };
+
+ void cplx_sqrt(double re, double im,
+ double &re_1, double &im_1,
+ double &re_2, double &im_2) {
+ if (re == 0.0 && im == 0.0) {
+ re_1 = re_2 = re;
+ im_1 = im_2 = im;
+ } else {
+ double d = sqrt(re * re + im * im);
+ re_1 = sqrt((d + re) / 2.0);
+ re_2 = re_1;
+ im_1 = fabs(sqrt((d - re) / 2.0));
+ im_2 = -im_1;
+ }
+ }
+
+ void cplx_cbrt(double re, double im,
+ double &re_1, double &im_1,
+ double &re_2, double &im_2,
+ double &re_3, double &im_3) {
+ if (re == 0.0 && im == 0.0) {
+ re_1 = re_2 = re_3 = re;
+ im_1 = im_2 = im_3 = im;
+ } else {
+ double r = cbrt(sqrt(re * re + im * im));
+ double t = atan2(im, re) / 3.0;
+ re_1 = r * cos(t);
+ im_1 = r * sin(t);
+ re_2 = r * cos(t + M_TWOPI / 3.0);
+ im_2 = r * sin(t + M_TWOPI / 3.0);
+ re_3 = r * cos(t + M_TWOPI * 2.0 / 3.0);
+ im_3 = r * sin(t + M_TWOPI * 2.0 / 3.0);
+ }
+ }
+
+ void add_root(std::vector<Root> &roots, double root) {
+ for (size_t i = 0; i < roots.size(); ++i) {
+ if (roots[i].root == root) {
+ roots[i].multiplicity++;
+ return;
+ }
+ }
+ roots.push_back(Root(root));
+ }
+
+ void linear_roots(double c1, double c0, std::vector<Root> &roots) {
+ roots.push_back(Root(c0 / c1));
+ }
+
+ void quadratic_roots(double c2, double c1, double c0, std::vector<Root> &roots) {
+ if (fabs(c2) < EPS) {
+ linear_roots(c1, c0, roots);
+ return;
+ }
+
+ double p = 0.5 * c1 / c2;
+ double dis = p * p - c0 / c2;
+
+ if (dis > 0.0) {
+ dis = sqrt(dis);
+ if (-p - dis != -p + dis) {
+ roots.push_back(Root(-p - dis));
+ roots.push_back(Root(-p + dis));
+ } else {
+ roots.push_back(Root(-p, 2));
+ }
+ }
+ }
+
+ void cubic_roots(double c3, double c2, double c1, double c0, std::vector<Root> &roots) {
+ int n_sol = 0;
+ double _r[3];
+
+ if (fabs(c3) < EPS) {
+ quadratic_roots(c2, c1, c0, roots);
+ return;
+ }
+
+ if (fabs(c0) < EPS) {
+ quadratic_roots(c3, c2, c1, roots);
+ add_root(roots, 0.0);
+ return;
+ }
+
+ double xN = -c2 / (3.0 * c3);
+ double yN = c0 + xN * (c1 + xN * (c2 + c3 * xN));
+
+ double delta_sq = (c2 * c2 - 3.0 * c3 * c1) / (9.0 * c3 * c3);
+ double h_sq = 4.0 / 9.0 * (c2 * c2 - 3.0 * c3 * c1) * (delta_sq * delta_sq);
+ double dis = yN * yN - h_sq;
+
+ if (dis > EPS) {
+ // One real root, two complex roots.
+
+ double dis_sqrt = sqrt(dis);
+ double r_p = yN - dis_sqrt;
+ double r_q = yN + dis_sqrt;
+ double p = cbrt(fabs(r_p)/(2.0 * c3));
+ double q = cbrt(fabs(r_q)/(2.0 * c3));
+
+ if (r_p > 0.0) p = -p;
+ if (r_q > 0.0) q = -q;
+
+ _r[0] = xN + p + q;
+ n_sol = 1;
+
+ double re = xN - p * .5 - q * .5;
+ double im = p * M_SQRT_3_4 - q * M_SQRT_3_4;
+
+ // root 2: xN + p * exp(M_2PI_3.i) + q * exp(-M_2PI_3.i);
+ // root 3: complex conjugate of root 2
+
+ if (im < EPS) {
+ _r[1] = _r[2] = re;
+ n_sol += 2;
+ }
+ } else if (dis < -EPS) {
+ // Three distinct real roots.
+ double theta = acos(-yN / sqrt(h_sq)) / 3.0;
+ double delta = sqrt(c2 * c2 - 3.0 * c3 * c1) / (3.0 * c3);
+
+ _r[0] = xN + (2.0 * delta) * cos(theta);
+ _r[1] = xN + (2.0 * delta) * cos(M_2PI_3 - theta);
+ _r[2] = xN + (2.0 * delta) * cos(M_2PI_3 + theta);
+ n_sol = 3;
+ } else {
+ // Three real roots (two or three equal).
+ double r = yN / (2.0 * c3);
+ double delta = cbrt(r);
+
+ _r[0] = xN + delta;
+ _r[1] = xN + delta;
+ _r[2] = xN - 2.0 * delta;
+ n_sol = 3;
+ }
+
+ for (int i=0; i < n_sol; i++) {
+ add_root(roots, _r[i]);
+ }
+ }
+
+ static void U(const Matrix3 &m,
+ double l,
+ double u[6],
+ double &u_max,
+ int &u_argmax) {
+ u[0] = (m._22 - l) * (m._33 - l) - m._23 * m._23;
+ u[1] = m._13 * m._23 - m._12 * (m._33 - l);
+ u[2] = m._12 * m._23 - m._13 * (m._22 - l);
+ u[3] = (m._11 - l) * (m._33 - l) - m._13 * m._13;
+ u[4] = m._12 * m._13 - m._23 * (m._11 - l);
+ u[5] = (m._11 - l) * (m._22 - l) - m._12 * m._12;
+
+ u_max = -1.0;
+ u_argmax = -1;
+
+ for (int i = 0; i < 6; ++i) {
+ if (u_max < fabs(u[i])) { u_max = fabs(u[i]); u_argmax = i; }
+ }
+ }
+
+ static void eig1(const Matrix3 &m, double l, carve::geom::vector<3> &e) {
+ double u[6];
+ double u_max;
+ int u_argmax;
+
+ U(m, l, u, u_max, u_argmax);
+
+ switch(u_argmax) {
+ case 0:
+ e.x = u[0]; e.y = u[1]; e.z = u[2]; break;
+ case 1: case 3:
+ e.x = u[1]; e.y = u[3]; e.z = u[4]; break;
+ case 2: case 4: case 5:
+ e.x = u[2]; e.y = u[4]; e.z = u[5]; break;
+ }
+ e.normalize();
+ }
+
+ static void eig2(const Matrix3 &m, double l, carve::geom::vector<3> &e1, carve::geom::vector<3> &e2) {
+ double u[6];
+ double u_max;
+ int u_argmax;
+
+ U(m, l, u, u_max, u_argmax);
+
+ switch(u_argmax) {
+ case 0: case 1:
+ e1.x = -m._12; e1.y = m._11; e1.z = 0.0;
+ e2.x = -m._13 * m._11; e2.y = -m._13 * m._12; e2.z = m._11 * m._11 + m._12 * m._12;
+ break;
+ case 2:
+ e1.x = m._12; e1.y = 0.0; e1.z = -m._11;
+ e2.x = -m._12 * m._11; e2.y = m._11 * m._11 + m._13 * m._13; e2.z = -m._12 * m._13;
+ break;
+ case 3: case 4:
+ e1.x = 0.0; e1.y = -m._23; e1.z = -m._22;
+ e2.x = m._22 * m._22 + m._23 * m._23; e2.y = -m._12 * m._22; e2.z = -m._12 * m._23;
+ break;
+ case 5:
+ e1.x = 0.0; e1.y = -m._33; e1.z = m._23;
+ e2.x = m._23 * m._23 + m._33 * m._33; e2.y = -m._13 * m._23; e2.z = -m._13 * m._33;
+ }
+ e1.normalize();
+ e2.normalize();
+ }
+
+ static void eig3(const Matrix3 &m,
+ double l,
+ carve::geom::vector<3> &e1,
+ carve::geom::vector<3> &e2,
+ carve::geom::vector<3> &e3) {
+ e1.x = 1.0; e1.y = 0.0; e1.z = 0.0;
+ e2.x = 0.0; e2.y = 1.0; e2.z = 0.0;
+ e3.x = 0.0; e3.y = 0.0; e3.z = 1.0;
+ }
+
+ void eigSolveSymmetric(const Matrix3 &m,
+ double &l1, carve::geom::vector<3> &e1,
+ double &l2, carve::geom::vector<3> &e2,
+ double &l3, carve::geom::vector<3> &e3) {
+ double c0 =
+ m._11 * m._22 * m._33 +
+ 2.0 * m._12 * m._13 * m._23 -
+ m._11 * m._23 * m._23 -
+ m._22 * m._13 * m._13 -
+ m._33 * m._12 * m._12;
+ double c1 =
+ m._11 * m._22 -
+ m._12 * m._12 +
+ m._11 * m._33 -
+ m._13 * m._13 +
+ m._22 * m._33 -
+ m._23 * m._23;
+ double c2 =
+ m._11 +
+ m._22 +
+ m._33;
+
+ double a = (3.0 * c1 - c2 * c2) / 3.0;
+ double b = (-2.0 * c2 * c2 * c2 + 9.0 * c1 * c2 - 27.0 * c0) / 27.0;
+
+ double Q = b * b / 4.0 + a * a * a / 27.0;
+
+ if (fabs(Q) < 1e-16) {
+ l1 = m._11; e1.x = 1.0; e1.y = 0.0; e1.z = 0.0;
+ l2 = m._22; e2.x = 0.0; e2.y = 1.0; e2.z = 0.0;
+ l3 = m._33; e3.x = 0.0; e3.y = 0.0; e3.z = 1.0;
+ } else if (Q > 0) {
+ l1 = l2 = c2 / 3.0 + cbrt(b / 2.0);
+ l3 = c2 / 3.0 - 2.0 * cbrt(b / 2.0);
+
+ eig2(m, l1, e1, e2);
+ eig1(m, l3, e3);
+ } else if (Q < 0) {
+ double t = atan2(sqrt(-Q), -b / 2.0);
+ double cos_t3 = cos(t / 3.0);
+ double sin_t3 = sin(t / 3.0);
+ double r = cbrt(sqrt(b * b / 4.0 - Q));
+
+ l1 = c2 / 3.0 + 2 * r * cos_t3;
+ l2 = c2 / 3.0 - r * (cos_t3 + M_SQRT_3 * sin_t3);
+ l3 = c2 / 3.0 - r * (cos_t3 - M_SQRT_3 * sin_t3);
+
+ eig1(m, l1, e1);
+ eig1(m, l2, e2);
+ eig1(m, l3, e3);
+ }
+ }
+
+ void eigSolve(const Matrix3 &m, double &l1, double &l2, double &l3) {
+ double c3, c2, c1, c0;
+ std::vector<Root> roots;
+
+ c3 = -1.0;
+ c2 = m._11 + m._22 + m._33;
+ c1 =
+ -(m._22 * m._33 + m._11 * m._22 + m._11 * m._33)
+ +(m._23 * m._32 + m._13 * m._31 + m._12 * m._21);
+ c0 =
+ +(m._11 * m._22 - m._12 * m._21) * m._33
+ -(m._11 * m._23 - m._13 * m._21) * m._32
+ +(m._12 * m._23 - m._13 * m._22) * m._31;
+
+ cubic_roots(c3, c2, c1, c0, roots);
+
+ for (size_t i = 0; i < roots.size(); i++) {
+ Matrix3 M(m);
+ M._11 -= roots[i].root;
+ M._22 -= roots[i].root;
+ M._33 -= roots[i].root;
+ // solve M.v = 0
+ }
+
+ std::cerr << "n_roots=" << roots.size() << std::endl;
+ for (size_t i = 0; i < roots.size(); i++) {
+ fprintf(stderr, " %.24f(%d)", roots[i].root, roots[i].multiplicity);
+ }
+ std::cerr << std::endl;
+ }
+
+ }
+}
+
diff --git a/extern/carve/lib/mesh.cpp b/extern/carve/lib/mesh.cpp
new file mode 100644
index 00000000000..55ab893c10a
--- /dev/null
+++ b/extern/carve/lib/mesh.cpp
@@ -0,0 +1,1203 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/mesh.hpp>
+#include <carve/mesh_impl.hpp>
+#include <carve/rtree.hpp>
+
+#include <carve/poly.hpp>
+
+namespace {
+ inline double CALC_X(const carve::geom::plane<3> &p, double y, double z) { return -(p.d + p.N.y * y + p.N.z * z) / p.N.x; }
+ inline double CALC_Y(const carve::geom::plane<3> &p, double x, double z) { return -(p.d + p.N.x * x + p.N.z * z) / p.N.y; }
+ inline double CALC_Z(const carve::geom::plane<3> &p, double x, double y) { return -(p.d + p.N.x * x + p.N.y * y) / p.N.z; }
+
+ carve::geom::vector<2> _project_1(const carve::geom::vector<3> &v) {
+ return carve::geom::VECTOR(v.z, v.y);
+ }
+
+ carve::geom::vector<2> _project_2(const carve::geom::vector<3> &v) {
+ return carve::geom::VECTOR(v.x, v.z);
+ }
+
+ carve::geom::vector<2> _project_3(const carve::geom::vector<3> &v) {
+ return carve::geom::VECTOR(v.y, v.x);
+ }
+
+ carve::geom::vector<2> _project_4(const carve::geom::vector<3> &v) {
+ return carve::geom::VECTOR(v.y, v.z);
+ }
+
+ carve::geom::vector<2> _project_5(const carve::geom::vector<3> &v) {
+ return carve::geom::VECTOR(v.z, v.x);
+ }
+
+ carve::geom::vector<2> _project_6(const carve::geom::vector<3> &v) {
+ return carve::geom::VECTOR(v.x, v.y);
+ }
+
+ carve::geom::vector<3> _unproject_1(const carve::geom::vector<2> &p, const carve::geom3d::Plane &plane) {
+ return carve::geom::VECTOR(CALC_X(plane, p.y, p.x), p.y, p.x);
+ }
+
+ carve::geom::vector<3> _unproject_2(const carve::geom::vector<2> &p, const carve::geom3d::Plane &plane) {
+ return carve::geom::VECTOR(p.x, CALC_Y(plane, p.x, p.y), p.y);
+ }
+
+ carve::geom::vector<3> _unproject_3(const carve::geom::vector<2> &p, const carve::geom3d::Plane &plane) {
+ return carve::geom::VECTOR(p.y, p.x, CALC_Z(plane, p.y, p.x));
+ }
+
+ carve::geom::vector<3> _unproject_4(const carve::geom::vector<2> &p, const carve::geom3d::Plane &plane) {
+ return carve::geom::VECTOR(CALC_X(plane, p.x, p.y), p.x, p.y);
+ }
+
+ carve::geom::vector<3> _unproject_5(const carve::geom::vector<2> &p, const carve::geom3d::Plane &plane) {
+ return carve::geom::VECTOR(p.y, CALC_Y(plane, p.y, p.x), p.x);
+ }
+
+ carve::geom::vector<3> _unproject_6(const carve::geom::vector<2> &p, const carve::geom3d::Plane &plane) {
+ return carve::geom::VECTOR(p.x, p.y, CALC_Z(plane, p.x, p.y));
+ }
+
+ static carve::geom::vector<2> (*project_tab[2][3])(const carve::geom::vector<3> &) = {
+ { &_project_1, &_project_2, &_project_3 },
+ { &_project_4, &_project_5, &_project_6 }
+ };
+
+ static carve::geom::vector<3> (*unproject_tab[2][3])(const carve::geom::vector<2> &, const carve::geom3d::Plane &) = {
+ { &_unproject_1, &_unproject_2, &_unproject_3 },
+ { &_unproject_4, &_unproject_5, &_unproject_6 }
+ };
+
+}
+
+namespace carve {
+ namespace mesh {
+
+
+
+ template<unsigned ndim>
+ typename Face<ndim>::project_t Face<ndim>::getProjector(bool positive_facing, int axis) const {
+ return NULL;
+ }
+
+
+
+ template<>
+ Face<3>::project_t Face<3>::getProjector(bool positive_facing, int axis) const {
+ return project_tab[positive_facing ? 1 : 0][axis];
+ }
+
+
+
+ template<unsigned ndim>
+ typename Face<ndim>::unproject_t Face<ndim>::getUnprojector(bool positive_facing, int axis) const {
+ return NULL;
+ }
+
+
+
+ template<>
+ Face<3>::unproject_t Face<3>::getUnprojector(bool positive_facing, int axis) const {
+ return unproject_tab[positive_facing ? 1 : 0][axis];
+ }
+
+
+
+ template<unsigned ndim>
+ bool Face<ndim>::containsPoint(const vector_t &p) const {
+ if (!carve::math::ZERO(carve::geom::distance(plane, p))) return false;
+ // return pointInPolySimple(vertices, projector(), (this->*project)(p));
+ std::vector<carve::geom::vector<2> > verts;
+ getProjectedVertices(verts);
+ return carve::geom2d::pointInPoly(verts, project(p)).iclass != carve::POINT_OUT;
+ }
+
+
+
+ template<unsigned ndim>
+ bool Face<ndim>::containsPointInProjection(const vector_t &p) const {
+ std::vector<carve::geom::vector<2> > verts;
+ getProjectedVertices(verts);
+ return carve::geom2d::pointInPoly(verts, project(p)).iclass != carve::POINT_OUT;
+ }
+
+
+
+ template<unsigned ndim>
+ bool Face<ndim>::simpleLineSegmentIntersection(
+ const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const {
+ if (!line.OK()) return false;
+
+ carve::mesh::MeshSet<3>::vertex_t::vector_t p;
+ carve::IntersectionClass intersects =
+ carve::geom3d::lineSegmentPlaneIntersection(plane, line, p);
+ if (intersects == carve::INTERSECT_NONE || intersects == carve::INTERSECT_BAD) {
+ return false;
+ }
+
+ std::vector<carve::geom::vector<2> > verts;
+ getProjectedVertices(verts);
+ if (carve::geom2d::pointInPolySimple(verts, project(p))) {
+ intersection = p;
+ return true;
+ }
+ return false;
+ }
+
+
+
+ template<unsigned ndim>
+ IntersectionClass Face<ndim>::lineSegmentIntersection(const carve::geom::linesegment<ndim> &line,
+ vector_t &intersection) const {
+ if (!line.OK()) return INTERSECT_NONE;
+
+
+ vector_t p;
+ IntersectionClass intersects = carve::geom3d::lineSegmentPlaneIntersection(plane, line, p);
+ if (intersects == INTERSECT_NONE || intersects == INTERSECT_BAD) {
+ return intersects;
+ }
+
+ std::vector<carve::geom::vector<2> > verts;
+ getProjectedVertices(verts);
+ carve::geom2d::PolyInclusionInfo pi = carve::geom2d::pointInPoly(verts, project(p));
+ switch (pi.iclass) {
+ case POINT_VERTEX:
+ intersection = p;
+ return INTERSECT_VERTEX;
+
+ case POINT_EDGE:
+ intersection = p;
+ return INTERSECT_EDGE;
+
+ case POINT_IN:
+ intersection = p;
+ return INTERSECT_FACE;
+
+ case POINT_OUT:
+ return INTERSECT_NONE;
+
+ default:
+ break;
+ }
+ return INTERSECT_NONE;
+ }
+
+
+
+ template<unsigned ndim>
+ Face<ndim> *Face<ndim>::closeLoop(typename Face<ndim>::edge_t *start) {
+ edge_t *e = start;
+ std::vector<edge_t *> loop_edges;
+ do {
+ CARVE_ASSERT(e->rev == NULL);
+ loop_edges.push_back(e);
+ e = e->perimNext();
+ } while (e != start);
+
+ const size_t N = loop_edges.size();
+ for (size_t i = 0; i < N; ++i) {
+ loop_edges[i]->rev = new edge_t(loop_edges[i]->v2(), NULL);
+ }
+
+ for (size_t i = 0; i < N; ++i) {
+ edge_t *e1 = loop_edges[i]->rev;
+ edge_t *e2 = loop_edges[(i+1)%N]->rev;
+ e1->prev = e2;
+ e2->next = e1;
+ }
+
+ Face *f = new Face(start->rev);
+
+ CARVE_ASSERT(f->n_edges == N);
+
+ return f;
+ }
+
+
+
+ namespace detail {
+
+
+
+ bool FaceStitcher::EdgeOrderData::Cmp::operator()(const EdgeOrderData &a, const EdgeOrderData &b) const {
+ int v = carve::geom3d::compareAngles(edge_dir, base_dir, a.face_dir, b.face_dir);
+ double da = carve::geom3d::antiClockwiseAngle(base_dir, a.face_dir, edge_dir);
+ double db = carve::geom3d::antiClockwiseAngle(base_dir, b.face_dir, edge_dir);
+ int v0 = v;
+ v = 0;
+ if (da < db) v = -1;
+ if (db < da) v = +1;
+ if (v0 != v) {
+ std::cerr << "v0= " << v0 << " v= " << v << " da= " << da << " db= " << db << " " << edge_dir << " " << base_dir << " " << a.face_dir << b.face_dir << std::endl;
+ }
+ if (v < 0) return true;
+ if (v == 0) {
+ if (a.is_reversed && !b.is_reversed) return true;
+ if (a.is_reversed == b.is_reversed) {
+ return a.group_id < b.group_id;
+ }
+ }
+ return false;
+ }
+
+
+
+ void FaceStitcher::matchSimpleEdges() {
+ // join faces that share an edge, where no other faces are incident.
+ for (edge_map_t::iterator i = edges.begin(); i != edges.end(); ++i) {
+ const vpair_t &ev = (*i).first;
+ edge_map_t::iterator j = edges.find(vpair_t(ev.second, ev.first));
+ if (j == edges.end()) {
+ for (edgelist_t::iterator k = (*i).second.begin(); k != (*i).second.end(); ++k) {
+ is_open[ (*k)->face->id] = true;
+ }
+ } else if ((*i).second.size() != 1 || (*j).second.size() != 1) {
+ std::swap(complex_edges[(*i).first], (*i).second);
+ } else {
+ // simple edge.
+ edge_t *a = (*i).second.front();
+ edge_t *b = (*j).second.front();
+ if (a < b) {
+ // every simple edge pair is encountered twice. only merge once.
+ a->rev = b;
+ b->rev = a;
+ face_groups.merge_sets(a->face->id, b->face->id);
+ }
+ }
+ }
+ }
+
+
+
+ size_t FaceStitcher::faceGroupID(const Face<3> *face) {
+ return face_groups.find_set_head(face->id);
+ }
+
+
+
+ size_t FaceStitcher::faceGroupID(const Edge<3> *edge) {
+ return face_groups.find_set_head(edge->face->id);
+ }
+
+
+
+ void FaceStitcher::orderForwardAndReverseEdges(std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev,
+ std::vector<std::vector<EdgeOrderData> > &result) {
+ const size_t Nfwd = efwd.size();
+ const size_t Nrev = erev.size();
+ const size_t N = efwd[0].size();
+
+ result.resize(N);
+
+ for (size_t i = 0; i < N; ++i) {
+ Edge<3> *base = efwd[0][i];
+
+ result[i].reserve(Nfwd + Nrev);
+ for (size_t j = 0; j < Nfwd; ++j) {
+ result[i].push_back(EdgeOrderData(efwd[j][i], j, false));
+ CARVE_ASSERT(efwd[0][i]->v1() == efwd[j][i]->v1());
+ CARVE_ASSERT(efwd[0][i]->v2() == efwd[j][i]->v2());
+ }
+ for (size_t j = 0; j < Nrev; ++j) {
+ result[i].push_back(EdgeOrderData(erev[j][i], j, true));
+ CARVE_ASSERT(erev[0][i]->v1() == erev[j][i]->v1());
+ CARVE_ASSERT(erev[0][i]->v2() == erev[j][i]->v2());
+ }
+
+ std::sort(result[i].begin(),
+ result[i].end(),
+ EdgeOrderData::Cmp(base->v2()->v - base->v1()->v, result[i][0].face_dir));
+ }
+ }
+
+
+
+ void FaceStitcher::edgeIncidentGroups(const vpair_t &e,
+ const edge_map_t &all_edges,
+ std::pair<std::set<size_t>, std::set<size_t> > &groups) {
+ groups.first.clear();
+ groups.second.clear();
+ edge_map_t::const_iterator i;
+
+ i = all_edges.find(e);
+ if (i != all_edges.end()) {
+ for (edgelist_t::const_iterator j = (*i).second.begin(); j != (*i).second.end(); ++j) {
+ groups.first.insert(faceGroupID(*j));
+ }
+ }
+
+ i = all_edges.find(vpair_t(e.second, e.first));
+ if (i != all_edges.end()) {
+ for (edgelist_t::const_iterator j = (*i).second.begin(); j != (*i).second.end(); ++j) {
+ groups.second.insert(faceGroupID(*j));
+ }
+ }
+ }
+
+
+
+ void FaceStitcher::buildEdgeGraph(const edge_map_t &all_edges) {
+ for (edge_map_t::const_iterator i = all_edges.begin();
+ i != all_edges.end();
+ ++i) {
+ edge_graph[(*i).first.first].insert((*i).first.second);
+ }
+ }
+
+
+
+ void FaceStitcher::extractPath(std::vector<const vertex_t *> &path) {
+ path.clear();
+
+ edge_graph_t::iterator iter = edge_graph.begin();
+
+
+ const vertex_t *init = (*iter).first;
+ const vertex_t *next = *(*iter).second.begin();
+ const vertex_t *prev = NULL;
+ const vertex_t *vert = init;
+
+ while ((*iter).second.size() == 2) {
+ prev = *std::find_if((*iter).second.begin(),
+ (*iter).second.end(),
+ std::bind2nd(std::not_equal_to<const vertex_t *>(), next));
+ next = vert;
+ vert = prev;
+ iter = edge_graph.find(vert);
+ CARVE_ASSERT(iter != edge_graph.end());
+ if (vert == init) break;
+ }
+ init = vert;
+
+ std::vector<const edge_t *> efwd;
+ std::vector<const edge_t *> erev;
+
+ edge_map_t::iterator edgeiter;
+ edgeiter = complex_edges.find(vpair_t(vert, next));
+ std::copy((*edgeiter).second.begin(), (*edgeiter).second.end(), std::back_inserter(efwd));
+
+ edgeiter = complex_edges.find(vpair_t(next, vert));
+ std::copy((*edgeiter).second.begin(), (*edgeiter).second.end(), std::back_inserter(erev));
+
+ path.push_back(vert);
+
+ prev = vert;
+ vert = next;
+ path.push_back(vert);
+ iter = edge_graph.find(vert);
+ CARVE_ASSERT(iter != edge_graph.end());
+
+ while (vert != init && (*iter).second.size() == 2) {
+ next = *std::find_if((*iter).second.begin(),
+ (*iter).second.end(),
+ std::bind2nd(std::not_equal_to<const vertex_t *>(), prev));
+
+ edgeiter = complex_edges.find(vpair_t(vert, next));
+ if ((*edgeiter).second.size() != efwd.size()) goto done;
+
+ for (size_t i = 0; i < efwd.size(); ++i) {
+ Edge<3> *e_next = efwd[i]->perimNext();
+ if (e_next->v2() != next) goto done;
+ efwd[i] = e_next;
+ }
+
+ edgeiter = complex_edges.find(vpair_t(next, vert));
+ if ((*edgeiter).second.size() != erev.size()) goto done;
+
+ for (size_t i = 0; i < erev.size(); ++i) {
+ Edge<3> *e_prev = erev[i]->perimPrev();
+ if (e_prev->v1() != next) goto done;
+ erev[i] = e_prev;
+ }
+
+ prev = vert;
+ vert = next;
+ path.push_back(vert);
+ iter = edge_graph.find(vert);
+ CARVE_ASSERT(iter != edge_graph.end());
+ }
+ done:;
+ }
+
+
+
+ void FaceStitcher::removePath(const std::vector<const vertex_t *> &path) {
+ for (size_t i = 1; i < path.size() - 1; ++i) {
+ edge_graph.erase(path[i]);
+ }
+
+ edge_graph[path[0]].erase(path[1]);
+ if (edge_graph[path[0]].size() == 0) {
+ edge_graph.erase(path[0]);
+ }
+
+ edge_graph[path[path.size()-1]].erase(path[path.size()-2]);
+ if (edge_graph[path[path.size()-1]].size() == 0) {
+ edge_graph.erase(path[path.size()-1]);
+ }
+ }
+
+
+
+ void FaceStitcher::reorder(std::vector<EdgeOrderData> &ordering,
+ size_t grp) {
+ if (!ordering[0].is_reversed && ordering[0].group_id == grp) return;
+ for (size_t i = 1; i < ordering.size(); ++i) {
+ if (!ordering[i].is_reversed && ordering[i].group_id == grp) {
+ std::vector<EdgeOrderData> temp;
+ temp.reserve(ordering.size());
+ std::copy(ordering.begin() + i, ordering.end(), std::back_inserter(temp));
+ std::copy(ordering.begin(), ordering.begin() + i, std::back_inserter(temp));
+ std::copy(temp.begin(), temp.end(), ordering.begin());
+ return;
+ }
+ }
+ }
+
+
+
+ struct lt_second {
+ template<typename pair_t>
+ bool operator()(const pair_t &a, const pair_t &b) const {
+ return a.second < b.second;
+ }
+ };
+
+
+
+ void FaceStitcher::fuseEdges(std::vector<Edge<3> *> &fwd,
+ std::vector<Edge<3> *> &rev) {
+ for (size_t i = 0; i < fwd.size(); ++i) {
+ fwd[i]->rev = rev[i];
+ rev[i]->rev = fwd[i];
+ face_groups.merge_sets(fwd[i]->face->id, rev[i]->face->id);
+ }
+ }
+
+
+
+ void FaceStitcher::joinGroups(std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev,
+ size_t fwd_grp,
+ size_t rev_grp) {
+ fuseEdges(efwd[fwd_grp], erev[rev_grp]);
+ }
+
+
+
+ void FaceStitcher::matchOrderedEdges(const std::vector<std::vector<EdgeOrderData> >::iterator begin,
+ const std::vector<std::vector<EdgeOrderData> >::iterator end,
+ std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev) {
+ typedef std::unordered_map<std::pair<size_t, size_t>, size_t> pair_counts_t;
+ for (;;) {
+ pair_counts_t pair_counts;
+
+ for (std::vector<std::vector<EdgeOrderData> >::iterator i = begin; i != end; ++i) {
+ std::vector<EdgeOrderData> &e = *i;
+ for (size_t j = 0; j < e.size(); ++j) {
+ if (!e[j].is_reversed && e[(j+1)%e.size()].is_reversed) {
+ pair_counts[std::make_pair(e[j].group_id,
+ e[(j+1)%e.size()].group_id)]++;
+ }
+ }
+ }
+
+ if (!pair_counts.size()) break;
+
+ std::vector<std::pair<size_t, std::pair<size_t, size_t> > > counts;
+ counts.reserve(pair_counts.size());
+ for (pair_counts_t::iterator iter = pair_counts.begin(); iter != pair_counts.end(); ++iter) {
+ counts.push_back(std::make_pair((*iter).second, (*iter).first));
+ }
+ std::make_heap(counts.begin(), counts.end());
+
+ std::set<size_t> rem_fwd, rem_rev;
+
+ while (counts.size()) {
+ std::pair<size_t, size_t> join = counts.front().second;
+ std::pop_heap(counts.begin(), counts.end());
+ counts.pop_back();
+ if (rem_fwd.find(join.first) != rem_fwd.end()) continue;
+ if (rem_rev.find(join.second) != rem_rev.end()) continue;
+
+ size_t g1 = join.first;
+ size_t g2 = join.second;
+
+ joinGroups(efwd, erev, g1, g2);
+
+ for (std::vector<std::vector<EdgeOrderData> >::iterator i = begin; i != end; ++i) {
+ (*i).erase(std::remove_if((*i).begin(), (*i).end(), EdgeOrderData::TestGroups(g1, g2)), (*i).end());
+ }
+
+ rem_fwd.insert(g1);
+ rem_rev.insert(g2);
+ }
+ }
+ }
+
+
+
+ void FaceStitcher::resolveOpenEdges() {
+ // Remove open regions of mesh. Doing this may make additional
+ // edges simple (for example, removing a fin from the edge of
+ // a cube), and may also expose more open mesh regions. In the
+ // latter case, the process must be repeated to deal with the
+ // newly uncovered regions.
+ std::unordered_set<size_t> open_groups;
+
+ for (size_t i = 0; i < is_open.size(); ++i) {
+ if (is_open[i]) open_groups.insert(face_groups.find_set_head(i));
+ }
+
+ while (!open_groups.empty()) {
+ std::list<vpair_t> edge_0, edge_1;
+
+ for (edge_map_t::iterator i = complex_edges.begin(); i != complex_edges.end(); ++i) {
+ bool was_modified = false;
+ for(edgelist_t::iterator j = (*i).second.begin(); j != (*i).second.end(); ) {
+ if (open_groups.find(faceGroupID(*j)) != open_groups.end()) {
+ j = (*i).second.erase(j);
+ was_modified = true;
+ } else {
+ ++j;
+ }
+ }
+ if (was_modified) {
+ if ((*i).second.empty()) {
+ edge_0.push_back((*i).first);
+ } else if ((*i).second.size() == 1) {
+ edge_1.push_back((*i).first);
+ }
+ }
+ }
+
+ for (std::list<vpair_t>::iterator i = edge_1.begin(); i != edge_1.end(); ++i) {
+ vpair_t e1 = *i;
+ edge_map_t::iterator e1i = complex_edges.find(e1);
+ if (e1i == complex_edges.end()) continue;
+ vpair_t e2 = vpair_t(e1.second, e1.first);
+ edge_map_t::iterator e2i = complex_edges.find(e2);
+ CARVE_ASSERT(e2i != complex_edges.end()); // each complex edge should have a mate.
+
+ if ((*e2i).second.size() == 1) {
+ // merge newly simple edges, delete both from complex_edges.
+ edge_t *a = (*e1i).second.front();
+ edge_t *b = (*e2i).second.front();
+ a->rev = b;
+ b->rev = a;
+ face_groups.merge_sets(a->face->id, b->face->id);
+ complex_edges.erase(e1i);
+ complex_edges.erase(e2i);
+ }
+ }
+
+ open_groups.clear();
+
+ for (std::list<vpair_t>::iterator i = edge_0.begin(); i != edge_0.end(); ++i) {
+ vpair_t e1 = *i;
+ edge_map_t::iterator e1i = complex_edges.find(e1);
+ vpair_t e2 = vpair_t(e1.second, e1.first);
+ edge_map_t::iterator e2i = complex_edges.find(e2);
+ if (e2i == complex_edges.end()) {
+ // This could occur, for example, when two faces share
+ // an edge in the same direction, but are both not
+ // touching anything else. Both get removed by the open
+ // group removal code, leaving an edge map with zero
+ // edges. The edge in the opposite direction does not
+ // exist, because there's no face that adjoins either of
+ // the two open faces.
+ continue;
+ }
+
+ for (edgelist_t::iterator j = (*e2i).second.begin(); j != (*e2i).second.end(); ++j) {
+ open_groups.insert(faceGroupID(*j));
+ }
+ complex_edges.erase(e1i);
+ complex_edges.erase(e2i);
+ }
+ }
+ }
+
+
+
+ void FaceStitcher::extractConnectedEdges(std::vector<const vertex_t *>::iterator begin,
+ std::vector<const vertex_t *>::iterator end,
+ std::vector<std::vector<Edge<3> *> > &efwd,
+ std::vector<std::vector<Edge<3> *> > &erev) {
+ const size_t N = std::distance(begin, end) - 1;
+
+ std::vector<const vertex_t *>::iterator e1, e2;
+ e1 = e2 = begin; ++e2;
+ vpair_t start_f = vpair_t(*e1, *e2);
+ vpair_t start_r = vpair_t(*e2, *e1);
+
+ const size_t Nfwd = complex_edges[start_f].size();
+ const size_t Nrev = complex_edges[start_r].size();
+
+ size_t j;
+ edgelist_t::iterator ji;
+
+ efwd.clear(); efwd.resize(Nfwd);
+ erev.clear(); erev.resize(Nrev);
+
+ for (j = 0, ji = complex_edges[start_f].begin();
+ ji != complex_edges[start_f].end();
+ ++j, ++ji) {
+ efwd[j].reserve(N);
+ efwd[j].push_back(*ji);
+ }
+
+ for (j = 0, ji = complex_edges[start_r].begin();
+ ji != complex_edges[start_r].end();
+ ++j, ++ji) {
+ erev[j].reserve(N);
+ erev[j].push_back(*ji);
+ }
+
+ std::vector<Edge<3> *> temp_f, temp_r;
+ temp_f.resize(Nfwd);
+ temp_r.resize(Nrev);
+
+ for (j = 1; j < N; ++j) {
+ ++e1; ++e2;
+ vpair_t ef = vpair_t(*e1, *e2);
+ vpair_t er = vpair_t(*e2, *e1);
+
+ if (complex_edges[ef].size() != Nfwd || complex_edges[ef].size() != Nrev) break;
+
+ for (size_t k = 0; k < Nfwd; ++k) {
+ Edge<3> *e_next = efwd[k].back()->perimNext();
+ CARVE_ASSERT(e_next == NULL || e_next->rev == NULL);
+ if (e_next == NULL || e_next->v2() != *e2) goto done;
+ CARVE_ASSERT(e_next->v1() == *e1);
+ CARVE_ASSERT(std::find(complex_edges[ef].begin(), complex_edges[ef].end(), e_next) != complex_edges[ef].end());
+ temp_f[k] = e_next;
+ }
+
+ for (size_t k = 0; k < Nrev; ++k) {
+ Edge<3> *e_next = erev[k].back()->perimPrev();
+ if (e_next == NULL || e_next->v1() != *e2) goto done;
+ CARVE_ASSERT(e_next->v2() == *e1);
+ CARVE_ASSERT(std::find(complex_edges[er].begin(), complex_edges[er].end(), e_next) != complex_edges[er].end());
+ temp_r[k] = e_next;
+ }
+
+ for (size_t k = 0; k < Nfwd; ++k) {
+ efwd[k].push_back(temp_f[k]);
+ }
+
+ for (size_t k = 0; k < Nrev; ++k) {
+ erev[k].push_back(temp_r[k]);
+ }
+ }
+ done:;
+ }
+
+
+
+ void FaceStitcher::construct() {
+ matchSimpleEdges();
+ if (!complex_edges.size()) return;
+
+ resolveOpenEdges();
+ if (!complex_edges.size()) return;
+
+ buildEdgeGraph(complex_edges);
+
+ std::list<std::vector<const vertex_t *> > paths;
+
+ while (edge_graph.size()) {
+ paths.push_back(std::vector<const vertex_t *>());
+ extractPath(paths.back());
+ removePath(paths.back());
+ };
+
+
+ for (std::list<std::vector<const vertex_t *> >::iterator path = paths.begin(); path != paths.end(); ++path) {
+ for (size_t i = 0; i < (*path).size() - 1;) {
+ std::vector<std::vector<Edge<3> *> > efwd, erev;
+
+ extractConnectedEdges((*path).begin() + i, (*path).end(), efwd, erev);
+
+ std::vector<std::vector<EdgeOrderData> > orderings;
+ orderForwardAndReverseEdges(efwd, erev, orderings);
+
+ matchOrderedEdges(orderings.begin(), orderings.end(), efwd, erev);
+ i += efwd[0].size();
+ }
+ }
+ }
+ }
+ }
+
+
+
+ // construct a MeshSet from a Polyhedron, maintaining on the
+ // connectivity information in the Polyhedron.
+ mesh::MeshSet<3> *meshFromPolyhedron(const poly::Polyhedron *poly, int manifold_id) {
+ typedef mesh::Vertex<3> vertex_t;
+ typedef mesh::Vertex<3>::vector_t vector_t;
+ typedef mesh::Edge<3> edge_t;
+ typedef mesh::Face<3> face_t;
+ typedef mesh::Mesh<3> mesh_t;
+ typedef mesh::MeshSet<3> meshset_t;
+
+ std::vector<vertex_t> vertex_storage;
+ vertex_storage.reserve(poly->vertices.size());
+ for (size_t i = 0; i < poly->vertices.size(); ++i) {
+ vertex_storage.push_back(vertex_t(poly->vertices[i].v));
+ }
+
+ std::vector<std::vector<face_t *> > faces;
+ faces.resize(poly->manifold_is_closed.size());
+
+ std::unordered_map<std::pair<size_t, size_t>, std::list<edge_t *> > vertex_to_edge;
+
+ std::vector<vertex_t *> vert_ptrs;
+ for (size_t i = 0; i < poly->faces.size(); ++i) {
+ const poly::Polyhedron::face_t &src = poly->faces[i];
+ if (manifold_id != -1 && src.manifold_id != manifold_id) continue;
+ vert_ptrs.clear();
+ vert_ptrs.reserve(src.nVertices());
+ for (size_t j = 0; j < src.nVertices(); ++j) {
+ size_t vi = poly->vertexToIndex_fast(src.vertex(j));
+ vert_ptrs.push_back(&vertex_storage[vi]);
+ }
+ face_t *face = new face_t(vert_ptrs.begin(), vert_ptrs.end());
+ face->id = src.manifold_id;
+ faces[src.manifold_id].push_back(face);
+
+ edge_t *edge = face->edge;
+ do {
+ vertex_to_edge[std::make_pair(size_t(edge->v1() - &vertex_storage[0]),
+ size_t(edge->v2() - &vertex_storage[0]))].push_back(edge);
+ edge = edge->next;
+ } while (edge != face->edge);
+ }
+
+ // copy connectivity from Polyhedron.
+ for (size_t i = 0; i < poly->edges.size(); ++i) {
+ const poly::Polyhedron::edge_t &src = poly->edges[i];
+ size_t v1i = poly->vertexToIndex_fast(src.v1);
+ size_t v2i = poly->vertexToIndex_fast(src.v2);
+
+ std::list<edge_t *> &efwd = vertex_to_edge[std::make_pair(v1i, v2i)];
+ std::list<edge_t *> &erev = vertex_to_edge[std::make_pair(v2i, v1i)];
+
+ const std::vector<const poly::Polyhedron::face_t *> &facepairs = poly->connectivity.edge_to_face[i];
+ for (size_t j = 0; j < facepairs.size(); j += 2) {
+ const poly::Polyhedron::face_t *fa, *fb;
+ fa = facepairs[j];
+ fb = facepairs[j+1];
+ if (!fa || !fb) continue;
+ CARVE_ASSERT(fa->manifold_id == fb->manifold_id);
+ if (manifold_id != -1 && fa->manifold_id != manifold_id) continue;
+
+ std::list<edge_t *>::iterator efwdi, erevi;
+ for (efwdi = efwd.begin(); efwdi != efwd.end() && (*efwdi)->face->id != (size_t)fa->manifold_id; ++efwdi);
+ for (erevi = erev.begin(); erevi != erev.end() && (*erevi)->face->id != (size_t)fa->manifold_id; ++erevi);
+ CARVE_ASSERT(efwdi != efwd.end() && erevi != erev.end());
+
+ (*efwdi)->rev = (*erevi);
+ (*erevi)->rev = (*efwdi);
+ }
+ }
+
+ std::vector<mesh_t *> meshes;
+ meshes.reserve(faces.size());
+ for (size_t i = 0; i < faces.size(); ++i) {
+ if (faces[i].size()) {
+ meshes.push_back(new mesh_t(faces[i]));
+ }
+ }
+
+ return new meshset_t(vertex_storage, meshes);
+ }
+
+
+
+ static void copyMeshFaces(const mesh::Mesh<3> *mesh,
+ size_t manifold_id,
+ const mesh::Vertex<3> *Vbase,
+ poly::Polyhedron *poly,
+ std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> > &edges,
+ std::unordered_map<const mesh::Face<3> *, size_t> &face_map) {
+ std::vector<const poly::Polyhedron::vertex_t *> vert_ptr;
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ mesh::Face<3> *src = mesh->faces[f];
+ vert_ptr.clear();
+ vert_ptr.reserve(src->nVertices());
+ mesh::Edge<3> *e = src->edge;
+ do {
+ vert_ptr.push_back(&poly->vertices[e->vert - Vbase]);
+ edges[std::make_pair(e->v1() - Vbase, e->v2() - Vbase)].push_back(e);
+ e = e->next;
+ } while (e != src->edge);
+
+ face_map[src] = poly->faces.size();;
+
+ poly->faces.push_back(poly::Polyhedron::face_t(vert_ptr));
+ poly->faces.back().manifold_id = manifold_id;
+ poly->faces.back().owner = poly;
+ }
+ }
+
+
+
+ // construct a Polyhedron from a MeshSet
+ poly::Polyhedron *polyhedronFromMesh(const mesh::MeshSet<3> *mesh, int manifold_id) {
+ typedef poly::Polyhedron poly_t;
+ typedef poly::Polyhedron::vertex_t vertex_t;
+ typedef poly::Polyhedron::edge_t edge_t;
+ typedef poly::Polyhedron::face_t face_t;
+
+ poly::Polyhedron *poly = new poly::Polyhedron();
+ const mesh::Vertex<3> *Vbase = &mesh->vertex_storage[0];
+
+ poly->vertices.reserve(mesh->vertex_storage.size());
+ for (size_t i = 0; i < mesh->vertex_storage.size(); ++i) {
+ poly->vertices.push_back(vertex_t(mesh->vertex_storage[i].v));
+ poly->vertices.back().owner = poly;
+ }
+
+ size_t n_faces = 0;
+ if (manifold_id == -1) {
+ poly->manifold_is_closed.resize(mesh->meshes.size());
+ poly->manifold_is_negative.resize(mesh->meshes.size());
+ for (size_t m = 0; m < mesh->meshes.size(); ++m) {
+ n_faces += mesh->meshes[m]->faces.size();
+ poly->manifold_is_closed[m] = mesh->meshes[m]->isClosed();
+ poly->manifold_is_negative[m] = mesh->meshes[m]->isNegative();
+ }
+ } else {
+ poly->manifold_is_closed.resize(1);
+ poly->manifold_is_negative.resize(1);
+ n_faces = mesh->meshes[manifold_id]->faces.size();
+ poly->manifold_is_closed[manifold_id] = mesh->meshes[manifold_id]->isClosed();
+ poly->manifold_is_negative[manifold_id] = mesh->meshes[manifold_id]->isNegative();
+ }
+
+ std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> > edges;
+ std::unordered_map<const mesh::Face<3> *, size_t> face_map;
+ poly->faces.reserve(n_faces);
+
+ if (manifold_id == -1) {
+ for (size_t m = 0; m < mesh->meshes.size(); ++m) {
+ copyMeshFaces(mesh->meshes[m], m, Vbase, poly, edges, face_map);
+ }
+ } else {
+ copyMeshFaces(mesh->meshes[manifold_id], 0, Vbase, poly, edges, face_map);
+ }
+
+ size_t n_edges = 0;
+ for (std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> >::iterator i = edges.begin(); i != edges.end(); ++i) {
+ if ((*i).first.first < (*i).first.second || edges.find(std::make_pair((*i).first.second, (*i).first.first)) == edges.end()) {
+ n_edges++;
+ }
+ }
+
+ poly->edges.reserve(n_edges);
+ for (std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> >::iterator i = edges.begin(); i != edges.end(); ++i) {
+ if ((*i).first.first < (*i).first.second ||
+ edges.find(std::make_pair((*i).first.second, (*i).first.first)) == edges.end()) {
+ poly->edges.push_back(edge_t(&poly->vertices[(*i).first.first],
+ &poly->vertices[(*i).first.second],
+ poly));
+ }
+ }
+
+ poly->initVertexConnectivity();
+
+ // build edge entries for face.
+ for (size_t f = 0; f < poly->faces.size(); ++f) {
+ face_t &face = poly->faces[f];
+ size_t N = face.nVertices();
+ for (size_t v = 0; v < N; ++v) {
+ size_t v1i = poly->vertexToIndex_fast(face.vertex(v));
+ size_t v2i = poly->vertexToIndex_fast(face.vertex((v+1)%N));
+ std::vector<const edge_t *> found_edge;
+ std::set_intersection(poly->connectivity.vertex_to_edge[v1i].begin(), poly->connectivity.vertex_to_edge[v1i].end(),
+ poly->connectivity.vertex_to_edge[v2i].begin(), poly->connectivity.vertex_to_edge[v2i].end(),
+ std::back_inserter(found_edge));
+ CARVE_ASSERT(found_edge.size() == 1);
+ face.edge(v) = found_edge[0];
+ }
+ }
+
+ poly->connectivity.edge_to_face.resize(poly->edges.size());
+
+ for (size_t i = 0; i < poly->edges.size(); ++i) {
+ size_t v1i = poly->vertexToIndex_fast(poly->edges[i].v1);
+ size_t v2i = poly->vertexToIndex_fast(poly->edges[i].v2);
+ std::list<mesh::Edge<3> *> &efwd = edges[std::make_pair(v1i, v2i)];
+ std::list<mesh::Edge<3> *> &erev = edges[std::make_pair(v1i, v2i)];
+
+ for (std::list<mesh::Edge<3> *>::iterator j = efwd.begin(); j != efwd.end(); ++j) {
+ mesh::Edge<3> *edge = *j;
+ if (face_map.find(edge->face) != face_map.end()) {
+ poly->connectivity.edge_to_face[i].push_back(&poly->faces[face_map[edge->face]]);
+ if (edge->rev == NULL) {
+ poly->connectivity.edge_to_face[i].push_back(NULL);
+ } else {
+ poly->connectivity.edge_to_face[i].push_back(&poly->faces[face_map[edge->rev->face]]);
+ }
+ }
+ }
+ for (std::list<mesh::Edge<3> *>::iterator j = erev.begin(); j != erev.end(); ++j) {
+ mesh::Edge<3> *edge = *j;
+ if (face_map.find(edge->face) != face_map.end()) {
+ if (edge->rev == NULL) {
+ poly->connectivity.edge_to_face[i].push_back(NULL);
+ poly->connectivity.edge_to_face[i].push_back(&poly->faces[face_map[edge->face]]);
+ }
+ }
+ }
+
+ }
+
+ poly->initSpatialIndex();
+
+ // XXX: at this point, manifold_is_negative is not set up. This
+ // info should be computed/stored in Mesh instances.
+
+ return poly;
+ }
+
+
+
+}
+
+
+
+// explicit instantiation for 2D case.
+// XXX: do not compile because of a missing definition for fitPlane in the 2d case.
+
+// template class carve::mesh::Vertex<2>;
+// template class carve::mesh::Edge<2>;
+// template class carve::mesh::Face<2>;
+// template class carve::mesh::Mesh<2>;
+// template class carve::mesh::MeshSet<2>;
+
+// explicit instantiation for 3D case.
+template class carve::mesh::Vertex<3>;
+template class carve::mesh::Edge<3>;
+template class carve::mesh::Face<3>;
+template class carve::mesh::Mesh<3>;
+template class carve::mesh::MeshSet<3>;
+
+
+
+carve::PointClass carve::mesh::classifyPoint(
+ const carve::mesh::MeshSet<3> *meshset,
+ const carve::geom::RTreeNode<3, carve::mesh::Face<3> *> *face_rtree,
+ const carve::geom::vector<3> &v,
+ bool even_odd,
+ const carve::mesh::Mesh<3> *mesh,
+ const carve::mesh::Face<3> **hit_face) {
+
+ if (hit_face) *hit_face = NULL;
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{containsVertex " << v << "}" << std::endl;
+#endif
+
+ if (!face_rtree->bbox.containsPoint(v)) {
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:OUT(aabb short circuit)}" << std::endl;
+#endif
+ // XXX: if the top level manifolds are negative, this should be POINT_IN.
+ // for the moment, this only works for a single manifold.
+ if (meshset->meshes.size() == 1 && meshset->meshes[0]->isNegative()) {
+ return POINT_IN;
+ }
+ return POINT_OUT;
+ }
+
+ std::vector<carve::mesh::Face<3> *> near_faces;
+ face_rtree->search(v, std::back_inserter(near_faces));
+
+ for (size_t i = 0; i < near_faces.size(); i++) {
+ if (mesh != NULL && mesh != near_faces[i]->mesh) continue;
+
+ // XXX: Do allow the tested vertex to be ON an open
+ // manifold. This was here originally because of the
+ // possibility of an open manifold contained within a closed
+ // manifold.
+
+ // if (!near_faces[i]->mesh->isClosed()) continue;
+
+ if (near_faces[i]->containsPoint(v)) {
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:ON(hits face " << near_faces[i] << ")}" << std::endl;
+#endif
+ if (hit_face) *hit_face = near_faces[i];
+ return POINT_ON;
+ }
+ }
+
+ double ray_len = face_rtree->bbox.extent.length() * 2;
+
+
+ std::vector<std::pair<const carve::mesh::Face<3> *, carve::geom::vector<3> > > manifold_intersections;
+
+ for (;;) {
+ double a1 = random() / double(RAND_MAX) * M_TWOPI;
+ double a2 = random() / double(RAND_MAX) * M_TWOPI;
+
+ carve::geom3d::Vector ray_dir = carve::geom::VECTOR(sin(a1) * sin(a2), cos(a1) * sin(a2), cos(a2));
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{testing ray: " << ray_dir << "}" << std::endl;
+#endif
+
+ carve::geom::vector<3> v2 = v + ray_dir * ray_len;
+
+ bool failed = false;
+ carve::geom::linesegment<3> line(v, v2);
+ carve::geom::vector<3> intersection;
+
+ near_faces.clear();
+ manifold_intersections.clear();
+ face_rtree->search(line, std::back_inserter(near_faces));
+
+ for (unsigned i = 0; !failed && i < near_faces.size(); i++) {
+ if (mesh != NULL && mesh != near_faces[i]->mesh) continue;
+
+ if (!near_faces[i]->mesh->isClosed()) continue;
+
+ switch (near_faces[i]->lineSegmentIntersection(line, intersection)) {
+ case INTERSECT_FACE: {
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{intersects face: " << near_faces[i]
+ << " dp: " << dot(ray_dir, near_faces[i]->plane.N) << "}" << std::endl;
+#endif
+
+ if (!even_odd && fabs(dot(ray_dir, near_faces[i]->plane.N)) < EPSILON) {
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{failing(small dot product)}" << std::endl;
+#endif
+
+ failed = true;
+ break;
+ }
+ manifold_intersections.push_back(std::make_pair(near_faces[i], intersection));
+ break;
+ }
+ case INTERSECT_NONE: {
+ break;
+ }
+ default: {
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{failing(degenerate intersection)}" << std::endl;
+#endif
+ failed = true;
+ break;
+ }
+ }
+ }
+
+ if (!failed) {
+ if (even_odd) {
+ return (manifold_intersections.size() & 1) ? POINT_IN : POINT_OUT;
+ }
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{intersections ok [count:"
+ << manifold_intersections.size()
+ << "], sorting}"
+ << std::endl;
+#endif
+
+ carve::geom3d::sortInDirectionOfRay(ray_dir,
+ manifold_intersections.begin(),
+ manifold_intersections.end(),
+ carve::geom3d::vec_adapt_pair_second());
+
+ std::map<const carve::mesh::Mesh<3> *, int> crossings;
+
+ for (size_t i = 0; i < manifold_intersections.size(); ++i) {
+ const carve::mesh::Face<3> *f = manifold_intersections[i].first;
+ if (dot(ray_dir, f->plane.N) < 0.0) {
+ crossings[f->mesh]++;
+ } else {
+ crossings[f->mesh]--;
+ }
+ }
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ for (std::map<const carve::mesh::Mesh<3> *, int>::const_iterator i = crossings.begin(); i != crossings.end(); ++i) {
+ std::cerr << "{mesh " << (*i).first << " crossing count: " << (*i).second << "}" << std::endl;
+ }
+#endif
+
+ for (size_t i = 0; i < manifold_intersections.size(); ++i) {
+ const carve::mesh::Face<3> *f = manifold_intersections[i].first;
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{intersection at "
+ << manifold_intersections[i].second
+ << " mesh: "
+ << f->mesh
+ << " count: "
+ << crossings[f->mesh]
+ << "}"
+ << std::endl;
+#endif
+
+ if (crossings[f->mesh] < 0) {
+ // inside this manifold.
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:IN}" << std::endl;
+#endif
+
+ return POINT_IN;
+ } else if (crossings[f->mesh] > 0) {
+ // outside this manifold, but it's an infinite manifold. (for instance, an inverted cube)
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:OUT}" << std::endl;
+#endif
+
+ return POINT_OUT;
+ }
+ }
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:OUT(default)}" << std::endl;
+#endif
+
+ return POINT_OUT;
+ }
+ }
+}
+
+
+
diff --git a/extern/carve/lib/octree.cpp b/extern/carve/lib/octree.cpp
new file mode 100644
index 00000000000..900a9614f47
--- /dev/null
+++ b/extern/carve/lib/octree.cpp
@@ -0,0 +1,399 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/octree_decl.hpp>
+#include <carve/octree_impl.hpp>
+
+#include <carve/poly_decl.hpp>
+
+namespace carve {
+ namespace csg {
+
+ Octree::Node::Node(const carve::geom3d::Vector &newMin, const carve::geom3d::Vector &newMax) :
+ parent(NULL), is_leaf(true), min(newMin), max(newMax) {
+ for (int i = 0; i < 8; ++i) children[i] = NULL;
+ aabb = Octree::makeAABB(this);
+ }
+
+ Octree::Node::Node(Node *p, double x1, double y1, double z1, double x2, double y2, double z2) :
+ parent(p), is_leaf(true), min(carve::geom::VECTOR(x1, y1, z1)), max(carve::geom::VECTOR(x2, y2, z2)) {
+ for (int i = 0; i < 8; ++i) children[i] = NULL;
+ aabb = Octree::makeAABB(this);
+ }
+
+ Octree::Node::~Node() {
+ for (int i = 0; i < 8; ++i) {
+ if (children[i] != NULL) {
+ (*children[i]).~Node();
+ }
+ }
+ if (children[0] != NULL) {
+ char *ptr = (char*)children[0];
+ delete[] ptr;
+ }
+ }
+
+ bool Octree::Node::mightContain(const carve::poly::Face<3> &face) {
+ if (face.nVertices() == 3) {
+ return aabb.intersects(carve::geom::tri<3>(face.vertex(0)->v, face.vertex(1)->v, face.vertex(2)->v));
+ } else {
+ return aabb.intersects(face.aabb) && aabb.intersects(face.plane_eqn);
+ }
+ }
+
+ bool Octree::Node::mightContain(const carve::poly::Edge<3> &edge) {
+ return aabb.intersectsLineSegment(edge.v1->v, edge.v2->v);
+ }
+
+ bool Octree::Node::mightContain(const carve::poly::Vertex<3> &p) {
+ return aabb.containsPoint(p.v);
+ }
+
+ bool Octree::Node::hasChildren() {
+ return !is_leaf;
+ }
+
+ bool Octree::Node::split() {
+ if (is_leaf && hasGeometry()) {
+
+ carve::geom3d::Vector mid = 0.5 * (min + max);
+ char *ptr = new char[sizeof(Node)*8];
+ children[0] = new (ptr + sizeof(Node) * 0) Node(this, min.x, min.y, min.z, mid.x, mid.y, mid.z);
+ children[1] = new (ptr + sizeof(Node) * 1) Node(this, mid.x, min.y, min.z, max.x, mid.y, mid.z);
+ children[2] = new (ptr + sizeof(Node) * 2) Node(this, min.x, mid.y, min.z, mid.x, max.y, mid.z);
+ children[3] = new (ptr + sizeof(Node) * 3) Node(this, mid.x, mid.y, min.z, max.x, max.y, mid.z);
+ children[4] = new (ptr + sizeof(Node) * 4) Node(this, min.x, min.y, mid.z, mid.x, mid.y, max.z);
+ children[5] = new (ptr + sizeof(Node) * 5) Node(this, mid.x, min.y, mid.z, max.x, mid.y, max.z);
+ children[6] = new (ptr + sizeof(Node) * 6) Node(this, min.x, mid.y, mid.z, mid.x, max.y, max.z);
+ children[7] = new (ptr + sizeof(Node) * 7) Node(this, mid.x, mid.y, mid.z, max.x, max.y, max.z);
+
+ for (int i = 0; i < 8; ++i) {
+ putInside(faces, children[i], children[i]->faces);
+ putInside(edges, children[i], children[i]->edges);
+ putInside(vertices, children[i], children[i]->vertices);
+ }
+
+ faces.clear();
+ edges.clear();
+ vertices.clear();
+ is_leaf = false;
+ }
+ return is_leaf;
+ }
+
+ template <class T>
+ void Octree::Node::putInside(const T &input, Node *child, T &output) {
+ for (typename T::const_iterator it = input.begin(), e = input.end(); it != e; ++it) {
+ if (child->mightContain(**it)) {
+ output.push_back(*it);
+ }
+ }
+ }
+
+ bool Octree::Node::hasGeometry() {
+ return faces.size() > 0 || edges.size() > 0 || vertices.size() > 0;
+ }
+
+ Octree::Octree() {
+ root = NULL;
+ }
+
+ Octree::~Octree() {
+ if (root) delete root;
+ }
+
+ void Octree::setBounds(const carve::geom3d::Vector &min, const carve::geom3d::Vector &max) {
+ if (root) delete root;
+ root = new Node(min, max);
+ }
+
+ void Octree::setBounds(carve::geom3d::AABB aabb) {
+ if (root) delete root;
+ aabb.extent = 1.1 * aabb.extent;
+ root = new Node(aabb.min(), aabb.max());
+ }
+
+ void Octree::addEdges(const std::vector<carve::poly::Edge<3> > &e) {
+ root->edges.reserve(root->edges.size() + e.size());
+ for (size_t i = 0; i < e.size(); ++i) {
+ root->edges.push_back(&e[i]);
+ }
+ }
+
+ void Octree::addFaces(const std::vector<carve::poly::Face<3> > &f) {
+ root->faces.reserve(root->faces.size() + f.size());
+ for (size_t i = 0; i < f.size(); ++i) {
+ root->faces.push_back(&f[i]);
+ }
+ }
+
+ void Octree::addVertices(const std::vector<const carve::poly::Vertex<3> *> &p) {
+ root->vertices.insert(root->vertices.end(), p.begin(), p.end());
+ }
+
+ carve::geom3d::AABB Octree::makeAABB(const Node *node) {
+ carve::geom3d::Vector centre = 0.5 * (node->min + node->max);
+ carve::geom3d::Vector size = SLACK_FACTOR * 0.5 * (node->max - node->min);
+ return carve::geom3d::AABB(centre, size);
+ }
+
+ void Octree::doFindEdges(const carve::geom::aabb<3> &aabb,
+ Node *node,
+ std::vector<const carve::poly::Edge<3> *> &out,
+ unsigned depth) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.intersects(aabb)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(aabb, node->children[i], out, depth + 1);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->edges.size() > EDGE_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(aabb, node->children[i], out, depth + 1);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Edge<3>*>::const_iterator it = node->edges.begin(), e = node->edges.end(); it != e; ++it) {
+ if ((*it)->tag_once()) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+ }
+
+ void Octree::doFindEdges(const carve::geom3d::LineSegment &l,
+ Node *node,
+ std::vector<const carve::poly::Edge<3> *> &out,
+ unsigned depth) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.intersectsLineSegment(l.v1, l.v2)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(l, node->children[i], out, depth + 1);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->edges.size() > EDGE_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(l, node->children[i], out, depth + 1);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Edge<3>*>::const_iterator it = node->edges.begin(), e = node->edges.end(); it != e; ++it) {
+ if ((*it)->tag_once()) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+ }
+
+ void Octree::doFindEdges(const carve::geom3d::Vector &v,
+ Node *node,
+ std::vector<const carve::poly::Edge<3> *> &out,
+ unsigned depth) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.containsPoint(v)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(v, node->children[i], out, depth + 1);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->edges.size() > EDGE_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindEdges(v, node->children[i], out, depth + 1);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Edge<3>*>::const_iterator
+ it = node->edges.begin(), e = node->edges.end(); it != e; ++it) {
+ if ((*it)->tag_once()) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+ }
+
+ void Octree::doFindFaces(const carve::geom::aabb<3> &aabb,
+ Node *node,
+ std::vector<const carve::poly::Face<3>*> &out,
+ unsigned depth) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.intersects(aabb)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindFaces(aabb, node->children[i], out, depth + 1);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->faces.size() > FACE_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindFaces(aabb, node->children[i], out, depth + 1);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Face<3>*>::const_iterator it = node->faces.begin(), e = node->faces.end(); it != e; ++it) {
+ if ((*it)->tag_once()) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+ }
+
+ void Octree::doFindFaces(const carve::geom3d::LineSegment &l,
+ Node *node,
+ std::vector<const carve::poly::Face<3>*> &out,
+ unsigned depth) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.intersectsLineSegment(l.v1, l.v2)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindFaces(l, node->children[i], out, depth + 1);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->faces.size() > FACE_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindFaces(l, node->children[i], out, depth + 1);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Face<3>*>::const_iterator it = node->faces.begin(), e = node->faces.end(); it != e; ++it) {
+ if ((*it)->tag_once()) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+ }
+
+ void Octree::doFindVerticesAllowDupes(const carve::geom3d::Vector &v, Node *node, std::vector<const carve::poly::Vertex<3> *> &out, unsigned depth) const {
+ if (node == NULL) {
+ return;
+ }
+
+ if (node->aabb.containsPoint(v)) {
+ if (node->hasChildren()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindVerticesAllowDupes(v, node->children[i], out, depth + 1);
+ }
+ } else {
+ if (depth < MAX_SPLIT_DEPTH && node->vertices.size() > POINT_SPLIT_THRESHOLD) {
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doFindVerticesAllowDupes(v, node->children[i], out, depth + 1);
+ }
+ return;
+ }
+ }
+ for (std::vector<const carve::poly::Vertex<3> *>::const_iterator it = node->vertices.begin(), e = node->vertices.end(); it != e; ++it) {
+ out.push_back(*it);
+ }
+ }
+ }
+ }
+
+ void Octree::findEdgesNear(const carve::geom::aabb<3> &aabb, std::vector<const carve::poly::Edge<3>*> &out) const {
+ tagable::tag_begin();
+ doFindEdges(aabb, root, out, 0);
+ }
+
+ void Octree::findEdgesNear(const carve::geom3d::LineSegment &l, std::vector<const carve::poly::Edge<3>*> &out) const {
+ tagable::tag_begin();
+ doFindEdges(l, root, out, 0);
+ }
+
+ void Octree::findEdgesNear(const carve::poly::Edge<3> &e, std::vector<const carve::poly::Edge<3>*> &out) const {
+ tagable::tag_begin();
+ doFindEdges(carve::geom3d::LineSegment(e.v1->v, e.v2->v), root, out, 0);
+ }
+
+ void Octree::findEdgesNear(const carve::geom3d::Vector &v, std::vector<const carve::poly::Edge<3>*> &out) const {
+ tagable::tag_begin();
+ doFindEdges(v, root, out, 0);
+ }
+
+ void Octree::findFacesNear(const carve::geom::aabb<3> &aabb, std::vector<const carve::poly::Face<3>*> &out) const {
+ tagable::tag_begin();
+ doFindFaces(aabb, root, out, 0);
+ }
+
+ void Octree::findFacesNear(const carve::geom3d::LineSegment &l, std::vector<const carve::poly::Face<3>*> &out) const {
+ tagable::tag_begin();
+ doFindFaces(l, root, out, 0);
+ }
+
+ void Octree::findFacesNear(const carve::poly::Edge<3> &e, std::vector<const carve::poly::Face<3>*> &out) const {
+ tagable::tag_begin();
+ doFindFaces(carve::geom3d::LineSegment(e.v1->v, e.v2->v), root, out, 0);
+ }
+
+ void Octree::findVerticesNearAllowDupes(const carve::geom3d::Vector &v, std::vector<const carve::poly::Vertex<3> *> &out) const {
+ tagable::tag_begin();
+ doFindVerticesAllowDupes(v, root, out, 0);
+ }
+
+ void Octree::doSplit(int maxSplit, Node *node) {
+ // Don't split down any further than 4 levels.
+ if (maxSplit <= 0 || (node->edges.size() < 5 && node->faces.size() < 5)) {
+ return;
+ }
+
+ if (!node->split()) {
+ for (int i = 0; i < 8; ++i) {
+ doSplit(maxSplit - 1, node->children[i]);
+ }
+ }
+ }
+
+ void Octree::splitTree() {
+ // initially split 4 levels
+ doSplit(0, root);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/pointset.cpp b/extern/carve/lib/pointset.cpp
new file mode 100644
index 00000000000..7ecf0074c69
--- /dev/null
+++ b/extern/carve/lib/pointset.cpp
@@ -0,0 +1,59 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/geom.hpp>
+#include <carve/pointset.hpp>
+
+namespace carve {
+ namespace point {
+
+ PointSet::PointSet(const std::vector<carve::geom3d::Vector> &points) {
+ vertices.resize(points.size());
+ for (size_t i = 0; i < points.size(); ++i) {
+ vertices[i].v = points[i];
+ }
+ aabb.fit(points.begin(), points.end());
+ }
+
+ void PointSet::sortVertices(const carve::geom3d::Vector &axis) {
+ std::vector<std::pair<double, size_t> > temp;
+ temp.reserve(vertices.size());
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ temp.push_back(std::make_pair(dot(axis, vertices[i].v), i));
+ }
+ std::sort(temp.begin(), temp.end());
+
+ std::vector<Vertex> vnew;
+ vnew.reserve(vertices.size());
+
+ // std::vector<int> revmap;
+ // revmap.resize(vertices.size());
+
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ vnew.push_back(vertices[temp[i].second]);
+ // revmap[temp[i].second] = i;
+ }
+
+ vertices.swap(vnew);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/polyhedron.cpp b/extern/carve/lib/polyhedron.cpp
new file mode 100644
index 00000000000..93e667ffaf7
--- /dev/null
+++ b/extern/carve/lib/polyhedron.cpp
@@ -0,0 +1,1103 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#if defined(CARVE_DEBUG)
+#define DEBUG_CONTAINS_VERTEX
+#endif
+
+#include <carve/djset.hpp>
+
+#include <carve/geom.hpp>
+#include <carve/poly.hpp>
+
+#include <carve/octree_impl.hpp>
+
+#include <carve/timing.hpp>
+
+#include <algorithm>
+
+#include <carve/mesh.hpp>
+
+#include BOOST_INCLUDE(random.hpp)
+
+namespace {
+ bool emb_test(carve::poly::Polyhedron *poly,
+ std::map<int, std::set<int> > &embedding,
+ carve::geom3d::Vector v,
+ int m_id) {
+
+ std::map<int, carve::PointClass> result;
+#if defined(CARVE_DEBUG)
+ std::cerr << "test " << v << " (m_id:" << m_id << ")" << std::endl;
+#endif
+ poly->testVertexAgainstClosedManifolds(v, result, true);
+ std::set<int> inside;
+ for (std::map<int, carve::PointClass>::iterator j = result.begin();
+ j != result.end();
+ ++j) {
+ if ((*j).first == m_id) continue;
+ if ((*j).second == carve::POINT_IN) inside.insert((*j).first);
+ else if ((*j).second == carve::POINT_ON) {
+#if defined(CARVE_DEBUG)
+ std::cerr << " FAIL" << std::endl;
+#endif
+ return false;
+ }
+ }
+#if defined(CARVE_DEBUG)
+ std::cerr << " OK (inside.size()==" << inside.size() << ")" << std::endl;
+#endif
+ embedding[m_id] = inside;
+ return true;
+ }
+
+
+
+ struct order_faces {
+ bool operator()(const carve::poly::Polyhedron::face_t * const &a,
+ const carve::poly::Polyhedron::face_t * const &b) const {
+ return std::lexicographical_compare(a->vbegin(), a->vend(), b->vbegin(), b->vend());
+ }
+ };
+
+
+
+}
+
+
+
+namespace carve {
+ namespace poly {
+
+
+
+ bool Polyhedron::initSpatialIndex() {
+ static carve::TimingName FUNC_NAME("Polyhedron::initSpatialIndex()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ octree.setBounds(aabb);
+ octree.addFaces(faces);
+ octree.addEdges(edges);
+ octree.splitTree();
+
+ return true;
+ }
+
+
+
+ void Polyhedron::invertAll() {
+ for (size_t i = 0; i < faces.size(); ++i) {
+ faces[i].invert();
+ }
+
+ for (size_t i = 0; i < edges.size(); ++i) {
+ std::vector<const face_t *> &f = connectivity.edge_to_face[i];
+ for (size_t j = 0; j < (f.size() & ~1U); j += 2) {
+ std::swap(f[j], f[j+1]);
+ }
+ }
+
+ for (size_t i = 0; i < manifold_is_negative.size(); ++i) {
+ manifold_is_negative[i] = !manifold_is_negative[i];
+ }
+ }
+
+
+
+ void Polyhedron::invert(const std::vector<bool> &selected_manifolds) {
+ bool altered = false;
+ for (size_t i = 0; i < faces.size(); ++i) {
+ if (faces[i].manifold_id >= 0 &&
+ (unsigned)faces[i].manifold_id < selected_manifolds.size() &&
+ selected_manifolds[faces[i].manifold_id]) {
+ altered = true;
+ faces[i].invert();
+ }
+ }
+
+ if (altered) {
+ for (size_t i = 0; i < edges.size(); ++i) {
+ std::vector<const face_t *> &f = connectivity.edge_to_face[i];
+ for (size_t j = 0; j < (f.size() & ~1U); j += 2) {
+ int m_id = -1;
+ if (f[j]) m_id = f[j]->manifold_id;
+ if (f[j+1]) m_id = f[j+1]->manifold_id;
+ if (m_id >= 0 && (unsigned)m_id < selected_manifolds.size() && selected_manifolds[m_id]) {
+ std::swap(f[j], f[j+1]);
+ }
+ }
+ }
+
+ for (size_t i = 0; i < std::min(selected_manifolds.size(), manifold_is_negative.size()); ++i) {
+ manifold_is_negative[i] = !manifold_is_negative[i];
+ }
+ }
+ }
+
+
+
+ void Polyhedron::initVertexConnectivity() {
+ static carve::TimingName FUNC_NAME("static Polyhedron initVertexConnectivity()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ // allocate space for connectivity info.
+ connectivity.vertex_to_edge.resize(vertices.size());
+ connectivity.vertex_to_face.resize(vertices.size());
+
+ std::vector<size_t> vertex_face_count;
+
+ vertex_face_count.resize(vertices.size());
+
+ // work out how many faces/edges each vertex is connected to, in
+ // order to save on array reallocs.
+ for (unsigned i = 0; i < faces.size(); ++i) {
+ face_t &f = faces[i];
+ for (unsigned j = 0; j < f.nVertices(); j++) {
+ vertex_face_count[vertexToIndex_fast(f.vertex(j))]++;
+ }
+ }
+
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ connectivity.vertex_to_edge[i].reserve(vertex_face_count[i]);
+ connectivity.vertex_to_face[i].reserve(vertex_face_count[i]);
+ }
+
+ // record connectivity from vertex to edges.
+ for (size_t i = 0; i < edges.size(); ++i) {
+ size_t v1i = vertexToIndex_fast(edges[i].v1);
+ size_t v2i = vertexToIndex_fast(edges[i].v2);
+
+ connectivity.vertex_to_edge[v1i].push_back(&edges[i]);
+ connectivity.vertex_to_edge[v2i].push_back(&edges[i]);
+ }
+
+ // record connectivity from vertex to faces.
+ for (size_t i = 0; i < faces.size(); ++i) {
+ face_t &f = faces[i];
+ for (unsigned j = 0; j < f.nVertices(); j++) {
+ size_t vi = vertexToIndex_fast(f.vertex(j));
+ connectivity.vertex_to_face[vi].push_back(&f);
+ }
+ }
+ }
+
+
+
+ bool Polyhedron::initConnectivity() {
+ static carve::TimingName FUNC_NAME("Polyhedron::initConnectivity()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ // temporary measure: initialize connectivity by creating a
+ // half-edge mesh, and then converting back.
+
+ std::vector<mesh::Vertex<3> > vertex_storage;
+ vertex_storage.reserve(vertices.size());
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ vertex_storage.push_back(mesh::Vertex<3>(vertices[i].v));
+ }
+
+ std::vector<mesh::Face<3> *> mesh_faces;
+ std::unordered_map<const mesh::Face<3> *, size_t> face_map;
+ {
+ std::vector<mesh::Vertex<3> *> vert_ptrs;
+ for (size_t i = 0; i < faces.size(); ++i) {
+ const face_t &src = faces[i];
+ vert_ptrs.clear();
+ vert_ptrs.reserve(src.nVertices());
+ for (size_t j = 0; j < src.nVertices(); ++j) {
+ size_t vi = vertexToIndex_fast(src.vertex(j));
+ vert_ptrs.push_back(&vertex_storage[vi]);
+ }
+ mesh::Face<3> *face = new mesh::Face<3>(vert_ptrs.begin(), vert_ptrs.end());
+ mesh_faces.push_back(face);
+ face_map[face] = i;
+ }
+ }
+
+ std::vector<mesh::Mesh<3> *> meshes;
+ mesh::Mesh<3>::create(mesh_faces.begin(), mesh_faces.end(), meshes);
+ mesh::MeshSet<3> *meshset = new mesh::MeshSet<3>(vertex_storage, meshes);
+
+ manifold_is_closed.resize(meshset->meshes.size());
+ manifold_is_negative.resize(meshset->meshes.size());
+
+ std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> > edge_map;
+
+ if (meshset->vertex_storage.size()) {
+ mesh::Vertex<3> *Vbase = &meshset->vertex_storage[0];
+ for (size_t m = 0; m < meshset->meshes.size(); ++m) {
+ mesh::Mesh<3> *mesh = meshset->meshes[m];
+ manifold_is_closed[m] = mesh->isClosed();
+ for (size_t f = 0; f < mesh->faces.size(); ++f) {
+ mesh::Face<3> *src = mesh->faces[f];
+ mesh::Edge<3> *e = src->edge;
+ faces[face_map[src]].manifold_id = m;
+ do {
+ edge_map[std::make_pair(e->v1() - Vbase, e->v2() - Vbase)].push_back(e);
+ e = e->next;
+ } while (e != src->edge);
+ }
+ }
+ }
+
+ size_t n_edges = 0;
+ for (std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> >::iterator i = edge_map.begin(); i != edge_map.end(); ++i) {
+ if ((*i).first.first < (*i).first.second || edge_map.find(std::make_pair((*i).first.second, (*i).first.first)) == edge_map.end()) {
+ n_edges++;
+ }
+ }
+
+ edges.clear();
+ edges.reserve(n_edges);
+ for (std::unordered_map<std::pair<size_t, size_t>, std::list<mesh::Edge<3> *> >::iterator i = edge_map.begin(); i != edge_map.end(); ++i) {
+ if ((*i).first.first < (*i).first.second || edge_map.find(std::make_pair((*i).first.second, (*i).first.first)) == edge_map.end()) {
+ edges.push_back(edge_t(&vertices[(*i).first.first], &vertices[(*i).first.second], this));
+ }
+ }
+
+ initVertexConnectivity();
+
+ for (size_t f = 0; f < faces.size(); ++f) {
+ face_t &face = faces[f];
+ size_t N = face.nVertices();
+ for (size_t v = 0; v < N; ++v) {
+ size_t v1i = vertexToIndex_fast(face.vertex(v));
+ size_t v2i = vertexToIndex_fast(face.vertex((v+1)%N));
+ std::vector<const edge_t *> found_edge;
+
+ CARVE_ASSERT(carve::is_sorted(connectivity.vertex_to_edge[v1i].begin(), connectivity.vertex_to_edge[v1i].end()));
+ CARVE_ASSERT(carve::is_sorted(connectivity.vertex_to_edge[v2i].begin(), connectivity.vertex_to_edge[v2i].end()));
+
+ std::set_intersection(connectivity.vertex_to_edge[v1i].begin(), connectivity.vertex_to_edge[v1i].end(),
+ connectivity.vertex_to_edge[v2i].begin(), connectivity.vertex_to_edge[v2i].end(),
+ std::back_inserter(found_edge));
+
+ CARVE_ASSERT(found_edge.size() == 1);
+
+ face.edge(v) = found_edge[0];
+ }
+ }
+
+ connectivity.edge_to_face.resize(edges.size());
+
+ for (size_t i = 0; i < edges.size(); ++i) {
+ size_t v1i = vertexToIndex_fast(edges[i].v1);
+ size_t v2i = vertexToIndex_fast(edges[i].v2);
+ std::list<mesh::Edge<3> *> &efwd = edge_map[std::make_pair(v1i, v2i)];
+ std::list<mesh::Edge<3> *> &erev = edge_map[std::make_pair(v1i, v2i)];
+
+ for (std::list<mesh::Edge<3> *>::iterator j = efwd.begin(); j != efwd.end(); ++j) {
+ mesh::Edge<3> *edge = *j;
+ if (face_map.find(edge->face) != face_map.end()) {
+ connectivity.edge_to_face[i].push_back(&faces[face_map[edge->face]]);
+ if (edge->rev == NULL) {
+ connectivity.edge_to_face[i].push_back(NULL);
+ } else {
+ connectivity.edge_to_face[i].push_back(&faces[face_map[edge->rev->face]]);
+ }
+ }
+ }
+ for (std::list<mesh::Edge<3> *>::iterator j = erev.begin(); j != erev.end(); ++j) {
+ mesh::Edge<3> *edge = *j;
+ if (face_map.find(edge->face) != face_map.end()) {
+ if (edge->rev == NULL) {
+ connectivity.edge_to_face[i].push_back(NULL);
+ connectivity.edge_to_face[i].push_back(&faces[face_map[edge->face]]);
+ }
+ }
+ }
+ }
+
+ delete meshset;
+
+ return true;
+ }
+
+
+
+ bool Polyhedron::calcManifoldEmbedding() {
+ // this could be significantly sped up using bounding box tests
+ // to work out what pairs of manifolds are embedding candidates.
+ // A per-manifold AABB could also be used to speed up
+ // testVertexAgainstClosedManifolds().
+
+ static carve::TimingName FUNC_NAME("Polyhedron::calcManifoldEmbedding()");
+ static carve::TimingName CME_V("Polyhedron::calcManifoldEmbedding() (vertices)");
+ static carve::TimingName CME_E("Polyhedron::calcManifoldEmbedding() (edges)");
+ static carve::TimingName CME_F("Polyhedron::calcManifoldEmbedding() (faces)");
+
+ carve::TimingBlock block(FUNC_NAME);
+
+ const unsigned MCOUNT = manifoldCount();
+ if (MCOUNT < 2) return true;
+
+ std::set<int> vertex_manifolds;
+ std::map<int, std::set<int> > embedding;
+
+ carve::Timing::start(CME_V);
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ vertex_manifolds.clear();
+ if (vertexManifolds(&vertices[i], set_inserter(vertex_manifolds)) != 1) continue;
+ int m_id = *vertex_manifolds.begin();
+ if (embedding.find(m_id) == embedding.end()) {
+ if (emb_test(this, embedding, vertices[i].v, m_id) && embedding.size() == MCOUNT) {
+ carve::Timing::stop();
+ goto done;
+ }
+ }
+ }
+ carve::Timing::stop();
+
+ carve::Timing::start(CME_E);
+ for (size_t i = 0; i < edges.size(); ++i) {
+ if (connectivity.edge_to_face[i].size() == 2) {
+ int m_id;
+ const face_t *f1 = connectivity.edge_to_face[i][0];
+ const face_t *f2 = connectivity.edge_to_face[i][1];
+ if (f1) m_id = f1->manifold_id;
+ if (f2) m_id = f2->manifold_id;
+ if (embedding.find(m_id) == embedding.end()) {
+ if (emb_test(this, embedding, (edges[i].v1->v + edges[i].v2->v) / 2, m_id) && embedding.size() == MCOUNT) {
+ carve::Timing::stop();
+ goto done;
+ }
+ }
+ }
+ }
+ carve::Timing::stop();
+
+ carve::Timing::start(CME_F);
+ for (size_t i = 0; i < faces.size(); ++i) {
+ int m_id = faces[i].manifold_id;
+ if (embedding.find(m_id) == embedding.end()) {
+ carve::geom2d::P2 pv;
+ if (!carve::geom2d::pickContainedPoint(faces[i].projectedVertices(), pv)) continue;
+ carve::geom3d::Vector v = carve::poly::face::unproject(faces[i], pv);
+ if (emb_test(this, embedding, v, m_id) && embedding.size() == MCOUNT) {
+ carve::Timing::stop();
+ goto done;
+ }
+ }
+ }
+ carve::Timing::stop();
+
+ CARVE_FAIL("could not find test points");
+
+ // std::cerr << "could not find test points!!!" << std::endl;
+ // return true;
+ done:;
+ for (std::map<int, std::set<int> >::iterator i = embedding.begin(); i != embedding.end(); ++i) {
+#if defined(CARVE_DEBUG)
+ std::cerr << (*i).first << " : ";
+ std::copy((*i).second.begin(), (*i).second.end(), std::ostream_iterator<int>(std::cerr, ","));
+ std::cerr << std::endl;
+#endif
+ (*i).second.insert(-1);
+ }
+ std::set<int> parents, new_parents;
+ parents.insert(-1);
+
+ while (embedding.size()) {
+ new_parents.clear();
+ for (std::map<int, std::set<int> >::iterator i = embedding.begin(); i != embedding.end(); ++i) {
+ if ((*i).second.size() == 1) {
+ if (parents.find(*(*i).second.begin()) != parents.end()) {
+ new_parents.insert((*i).first);
+#if defined(CARVE_DEBUG)
+ std::cerr << "parent(" << (*i).first << "): " << *(*i).second.begin() << std::endl;
+#endif
+ } else {
+#if defined(CARVE_DEBUG)
+ std::cerr << "no parent: " << (*i).first << " (looking for: " << *(*i).second.begin() << ")" << std::endl;
+#endif
+ }
+ }
+ }
+ for (std::set<int>::const_iterator i = new_parents.begin(); i != new_parents.end(); ++i) {
+ embedding.erase(*i);
+ }
+ for (std::map<int, std::set<int> >::iterator i = embedding.begin(); i != embedding.end(); ++i) {
+ size_t n = 0;
+ for (std::set<int>::const_iterator j = parents.begin(); j != parents.end(); ++j) {
+ n += (*i).second.erase((*j));
+ }
+ CARVE_ASSERT(n != 0);
+ }
+ parents.swap(new_parents);
+ }
+
+ return true;
+ }
+
+
+
+ bool Polyhedron::init() {
+ static carve::TimingName FUNC_NAME("Polyhedron::init()");
+ carve::TimingBlock block(FUNC_NAME);
+
+ aabb.fit(vertices.begin(), vertices.end(), vec_adapt_vertex_ref());
+
+ connectivity.vertex_to_edge.clear();
+ connectivity.vertex_to_face.clear();
+ connectivity.edge_to_face.clear();
+
+ if (!initConnectivity()) return false;
+ if (!initSpatialIndex()) return false;
+
+ return true;
+ }
+
+
+
+ void Polyhedron::faceRecalc() {
+ for (size_t i = 0; i < faces.size(); ++i) {
+ if (!faces[i].recalc()) {
+ std::ostringstream out;
+ out << "face " << i << " recalc failed";
+ throw carve::exception(out.str());
+ }
+ }
+ }
+
+
+
+ Polyhedron::Polyhedron(const Polyhedron &poly) {
+ faces.reserve(poly.faces.size());
+
+ for (size_t i = 0; i < poly.faces.size(); ++i) {
+ const face_t &src = poly.faces[i];
+ faces.push_back(src);
+ }
+ commonFaceInit(false); // calls setFaceAndVertexOwner() and init()
+ }
+
+
+
+ Polyhedron::Polyhedron(const Polyhedron &poly, const std::vector<bool> &selected_manifolds) {
+ size_t n_faces = 0;
+
+ for (size_t i = 0; i < poly.faces.size(); ++i) {
+ const face_t &src = poly.faces[i];
+ if (src.manifold_id >= 0 &&
+ (unsigned)src.manifold_id < selected_manifolds.size() &&
+ selected_manifolds[src.manifold_id]) {
+ n_faces++;
+ }
+ }
+
+ faces.reserve(n_faces);
+
+ for (size_t i = 0; i < poly.faces.size(); ++i) {
+ const face_t &src = poly.faces[i];
+ if (src.manifold_id >= 0 &&
+ (unsigned)src.manifold_id < selected_manifolds.size() &&
+ selected_manifolds[src.manifold_id]) {
+ faces.push_back(src);
+ }
+ }
+
+ commonFaceInit(false); // calls setFaceAndVertexOwner() and init()
+ }
+
+
+
+ Polyhedron::Polyhedron(const Polyhedron &poly, int m_id) {
+ size_t n_faces = 0;
+
+ for (size_t i = 0; i < poly.faces.size(); ++i) {
+ const face_t &src = poly.faces[i];
+ if (src.manifold_id == m_id) n_faces++;
+ }
+
+ faces.reserve(n_faces);
+
+ for (size_t i = 0; i < poly.faces.size(); ++i) {
+ const face_t &src = poly.faces[i];
+ if (src.manifold_id == m_id) faces.push_back(src);
+ }
+
+ commonFaceInit(false); // calls setFaceAndVertexOwner() and init()
+ }
+
+
+
+ Polyhedron::Polyhedron(const std::vector<carve::geom3d::Vector> &_vertices,
+ int n_faces,
+ const std::vector<int> &face_indices) {
+ // The polyhedron is defined by a vector of vertices, which we
+ // want to copy, and a face index list, from which we need to
+ // generate a set of Faces.
+
+ vertices.clear();
+ vertices.resize(_vertices.size());
+ for (size_t i = 0; i < _vertices.size(); ++i) {
+ vertices[i].v = _vertices[i];
+ }
+
+ faces.reserve(n_faces);
+
+ std::vector<int>::const_iterator iter = face_indices.begin();
+ std::vector<const vertex_t *> v;
+ for (int i = 0; i < n_faces; ++i) {
+ int vertexCount = *iter++;
+
+ v.clear();
+
+ while (vertexCount--) {
+ CARVE_ASSERT(*iter >= 0);
+ CARVE_ASSERT((unsigned)*iter < vertices.size());
+ v.push_back(&vertices[*iter++]);
+ }
+ faces.push_back(face_t(v));
+ }
+
+ setFaceAndVertexOwner();
+
+ if (!init()) {
+ throw carve::exception("polyhedron creation failed");
+ }
+ }
+
+
+
+ Polyhedron::Polyhedron(std::vector<face_t> &_faces,
+ std::vector<vertex_t> &_vertices,
+ bool _recalc) {
+ faces.swap(_faces);
+ vertices.swap(_vertices);
+
+ setFaceAndVertexOwner();
+
+ if (_recalc) faceRecalc();
+
+ if (!init()) {
+ throw carve::exception("polyhedron creation failed");
+ }
+ }
+
+
+
+ Polyhedron::Polyhedron(std::vector<face_t> &_faces,
+ bool _recalc) {
+ faces.swap(_faces);
+ commonFaceInit(_recalc); // calls setFaceAndVertexOwner() and init()
+ }
+
+
+
+ Polyhedron::Polyhedron(std::list<face_t> &_faces,
+ bool _recalc) {
+ faces.reserve(_faces.size());
+ std::copy(_faces.begin(), _faces.end(), std::back_inserter(faces));
+ commonFaceInit(_recalc); // calls setFaceAndVertexOwner() and init()
+ }
+
+
+
+ void Polyhedron::collectFaceVertices(std::vector<face_t> &faces,
+ std::vector<vertex_t> &vertices,
+ std::unordered_map<const vertex_t *, const vertex_t *> &vmap) {
+ // Given a set of faces, copy all referenced vertices into a
+ // single vertex array and update the faces to point into that
+ // array. On exit, vmap contains a mapping from old pointer to
+ // new pointer.
+
+ vertices.clear();
+ vmap.clear();
+
+ for (size_t i = 0, il = faces.size(); i != il; ++i) {
+ face_t &f = faces[i];
+
+ for (size_t j = 0, jl = f.nVertices(); j != jl; ++j) {
+ vmap[f.vertex(j)] = NULL;
+ }
+ }
+
+ vertices.reserve(vmap.size());
+
+ for (std::unordered_map<const vertex_t *, const vertex_t *>::iterator i = vmap.begin(),
+ e = vmap.end();
+ i != e;
+ ++i) {
+ vertices.push_back(*(*i).first);
+ (*i).second = &vertices.back();
+ }
+
+ for (size_t i = 0, il = faces.size(); i != il; ++i) {
+ face_t &f = faces[i];
+
+ for (size_t j = 0, jl = f.nVertices(); j != jl; ++j) {
+ f.vertex(j) = vmap[f.vertex(j)];
+ }
+ }
+ }
+
+
+
+ void Polyhedron::collectFaceVertices(std::vector<face_t> &faces,
+ std::vector<vertex_t> &vertices) {
+ std::unordered_map<const vertex_t *, const vertex_t *> vmap;
+ collectFaceVertices(faces, vertices, vmap);
+ }
+
+
+
+ void Polyhedron::setFaceAndVertexOwner() {
+ for (size_t i = 0; i < vertices.size(); ++i) vertices[i].owner = this;
+ for (size_t i = 0; i < faces.size(); ++i) faces[i].owner = this;
+ }
+
+
+
+ void Polyhedron::commonFaceInit(bool _recalc) {
+ collectFaceVertices(faces, vertices);
+ setFaceAndVertexOwner();
+ if (_recalc) faceRecalc();
+
+ if (!init()) {
+ throw carve::exception("polyhedron creation failed");
+ }
+ }
+
+
+
+ Polyhedron::~Polyhedron() {
+ }
+
+
+
+ void Polyhedron::testVertexAgainstClosedManifolds(const carve::geom3d::Vector &v,
+ std::map<int, PointClass> &result,
+ bool ignore_orientation) const {
+
+ for (size_t i = 0; i < faces.size(); i++) {
+ if (!manifold_is_closed[faces[i].manifold_id]) continue; // skip open manifolds
+ if (faces[i].containsPoint(v)) {
+ result[faces[i].manifold_id] = POINT_ON;
+ }
+ }
+
+ double ray_len = aabb.extent.length() * 2;
+
+ std::vector<const face_t *> possible_faces;
+
+ std::vector<std::pair<const face_t *, carve::geom3d::Vector> > manifold_intersections;
+
+ boost::mt19937 rng;
+ boost::uniform_on_sphere<double> distrib(3);
+ boost::variate_generator<boost::mt19937 &, boost::uniform_on_sphere<double> > gen(rng, distrib);
+
+ for (;;) {
+ carve::geom3d::Vector ray_dir;
+ ray_dir = gen();
+
+ carve::geom3d::Vector v2 = v + ray_dir * ray_len;
+
+ bool failed = false;
+ carve::geom3d::LineSegment line(v, v2);
+ carve::geom3d::Vector intersection;
+
+ possible_faces.clear();
+ manifold_intersections.clear();
+ octree.findFacesNear(line, possible_faces);
+
+ for (unsigned i = 0; !failed && i < possible_faces.size(); i++) {
+ if (!manifold_is_closed[possible_faces[i]->manifold_id]) continue; // skip open manifolds
+ if (result.find(possible_faces[i]->manifold_id) != result.end()) continue; // already ON
+
+ switch (possible_faces[i]->lineSegmentIntersection(line, intersection)) {
+ case INTERSECT_FACE: {
+ manifold_intersections.push_back(std::make_pair(possible_faces[i], intersection));
+ break;
+ }
+ case INTERSECT_NONE: {
+ break;
+ }
+ default: {
+ failed = true;
+ break;
+ }
+ }
+ }
+
+ if (!failed) break;
+ }
+
+ std::vector<int> crossings(manifold_is_closed.size(), 0);
+
+ for (size_t i = 0; i < manifold_intersections.size(); ++i) {
+ const face_t *f = manifold_intersections[i].first;
+ crossings[f->manifold_id]++;
+ }
+
+ for (size_t i = 0; i < crossings.size(); ++i) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "crossing: " << i << " = " << crossings[i] << " is_negative = " << manifold_is_negative[i] << std::endl;
+#endif
+ if (!manifold_is_closed[i]) continue;
+ if (result.find(i) != result.end()) continue;
+ PointClass pc = (crossings[i] & 1) ? POINT_IN : POINT_OUT;
+ if (!ignore_orientation && manifold_is_negative[i]) pc = (PointClass)-pc;
+ result[i] = pc;
+ }
+ }
+
+
+
+ PointClass Polyhedron::containsVertex(const carve::geom3d::Vector &v,
+ const face_t **hit_face,
+ bool even_odd,
+ int manifold_id) const {
+ if (hit_face) *hit_face = NULL;
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{containsVertex " << v << "}" << std::endl;
+#endif
+
+ if (!aabb.containsPoint(v)) {
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:OUT(aabb short circuit)}" << std::endl;
+#endif
+ // XXX: if the top level manifolds are negative, this should be POINT_IN.
+ // for the moment, this only works for a single manifold.
+ if (manifold_is_negative.size() == 1 && manifold_is_negative[0]) return POINT_IN;
+ return POINT_OUT;
+ }
+
+ for (size_t i = 0; i < faces.size(); i++) {
+ if (manifold_id != -1 && manifold_id != faces[i].manifold_id) continue;
+
+ // XXX: Do allow the tested vertex to be ON an open
+ // manifold. This was here originally because of the
+ // possibility of an open manifold contained within a closed
+ // manifold.
+
+ // if (!manifold_is_closed[faces[i].manifold_id]) continue;
+
+ if (faces[i].containsPoint(v)) {
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:ON(hits face " << &faces[i] << ")}" << std::endl;
+#endif
+ if (hit_face) *hit_face = &faces[i];
+ return POINT_ON;
+ }
+ }
+
+ double ray_len = aabb.extent.length() * 2;
+
+ std::vector<const face_t *> possible_faces;
+
+ std::vector<std::pair<const face_t *, carve::geom3d::Vector> > manifold_intersections;
+
+ for (;;) {
+ double a1 = random() / double(RAND_MAX) * M_TWOPI;
+ double a2 = random() / double(RAND_MAX) * M_TWOPI;
+
+ carve::geom3d::Vector ray_dir = carve::geom::VECTOR(sin(a1) * sin(a2), cos(a1) * sin(a2), cos(a2));
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{testing ray: " << ray_dir << "}" << std::endl;
+#endif
+
+ carve::geom3d::Vector v2 = v + ray_dir * ray_len;
+
+ bool failed = false;
+ carve::geom3d::LineSegment line(v, v2);
+ carve::geom3d::Vector intersection;
+
+ possible_faces.clear();
+ manifold_intersections.clear();
+ octree.findFacesNear(line, possible_faces);
+
+ for (unsigned i = 0; !failed && i < possible_faces.size(); i++) {
+ if (manifold_id != -1 && manifold_id != faces[i].manifold_id) continue;
+
+ if (!manifold_is_closed[possible_faces[i]->manifold_id]) continue;
+
+ switch (possible_faces[i]->lineSegmentIntersection(line, intersection)) {
+ case INTERSECT_FACE: {
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{intersects face: " << possible_faces[i]
+ << " dp: " << dot(ray_dir, possible_faces[i]->plane_eqn.N) << "}" << std::endl;
+#endif
+
+ if (!even_odd && fabs(dot(ray_dir, possible_faces[i]->plane_eqn.N)) < EPSILON) {
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{failing(small dot product)}" << std::endl;
+#endif
+
+ failed = true;
+ break;
+ }
+ manifold_intersections.push_back(std::make_pair(possible_faces[i], intersection));
+ break;
+ }
+ case INTERSECT_NONE: {
+ break;
+ }
+ default: {
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{failing(degenerate intersection)}" << std::endl;
+#endif
+ failed = true;
+ break;
+ }
+ }
+ }
+
+ if (!failed) {
+ if (even_odd) {
+ return (manifold_intersections.size() & 1) ? POINT_IN : POINT_OUT;
+ }
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{intersections ok [count:"
+ << manifold_intersections.size()
+ << "], sorting}"
+ << std::endl;
+#endif
+
+ carve::geom3d::sortInDirectionOfRay(ray_dir,
+ manifold_intersections.begin(),
+ manifold_intersections.end(),
+ carve::geom3d::vec_adapt_pair_second());
+
+ std::vector<int> crossings(manifold_is_closed.size(), 0);
+
+ for (size_t i = 0; i < manifold_intersections.size(); ++i) {
+ const face_t *f = manifold_intersections[i].first;
+ if (dot(ray_dir, f->plane_eqn.N) < 0.0) {
+ crossings[f->manifold_id]++;
+ } else {
+ crossings[f->manifold_id]--;
+ }
+ }
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ for (size_t i = 0; i < crossings.size(); ++i) {
+ std::cerr << "{manifold " << i << " crossing count: " << crossings[i] << "}" << std::endl;
+ }
+#endif
+
+ for (size_t i = 0; i < manifold_intersections.size(); ++i) {
+ const face_t *f = manifold_intersections[i].first;
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{intersection at "
+ << manifold_intersections[i].second
+ << " id: "
+ << f->manifold_id
+ << " count: "
+ << crossings[f->manifold_id]
+ << "}"
+ << std::endl;
+#endif
+
+ if (crossings[f->manifold_id] < 0) {
+ // inside this manifold.
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:IN}" << std::endl;
+#endif
+
+ return POINT_IN;
+ } else if (crossings[f->manifold_id] > 0) {
+ // outside this manifold, but it's an infinite manifold. (for instance, an inverted cube)
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:OUT}" << std::endl;
+#endif
+
+ return POINT_OUT;
+ }
+ }
+
+#if defined(DEBUG_CONTAINS_VERTEX)
+ std::cerr << "{final:OUT(default)}" << std::endl;
+#endif
+
+ return POINT_OUT;
+ }
+ }
+ }
+
+
+
+ void Polyhedron::findEdgesNear(const carve::geom::aabb<3> &aabb,
+ std::vector<const edge_t *> &outEdges) const {
+ outEdges.clear();
+ octree.findEdgesNear(aabb, outEdges);
+ }
+
+
+
+ void Polyhedron::findEdgesNear(const carve::geom3d::LineSegment &line,
+ std::vector<const edge_t *> &outEdges) const {
+ outEdges.clear();
+ octree.findEdgesNear(line, outEdges);
+ }
+
+
+
+ void Polyhedron::findEdgesNear(const carve::geom3d::Vector &v,
+ std::vector<const edge_t *> &outEdges) const {
+ outEdges.clear();
+ octree.findEdgesNear(v, outEdges);
+ }
+
+
+
+ void Polyhedron::findEdgesNear(const face_t &face,
+ std::vector<const edge_t *> &edges) const {
+ edges.clear();
+ octree.findEdgesNear(face, edges);
+ }
+
+
+
+ void Polyhedron::findEdgesNear(const edge_t &edge,
+ std::vector<const edge_t *> &outEdges) const {
+ outEdges.clear();
+ octree.findEdgesNear(edge, outEdges);
+ }
+
+
+
+ void Polyhedron::findFacesNear(const carve::geom3d::LineSegment &line,
+ std::vector<const face_t *> &outFaces) const {
+ outFaces.clear();
+ octree.findFacesNear(line, outFaces);
+ }
+
+
+
+ void Polyhedron::findFacesNear(const carve::geom::aabb<3> &aabb,
+ std::vector<const face_t *> &outFaces) const {
+ outFaces.clear();
+ octree.findFacesNear(aabb, outFaces);
+ }
+
+
+
+ void Polyhedron::findFacesNear(const edge_t &edge,
+ std::vector<const face_t *> &outFaces) const {
+ outFaces.clear();
+ octree.findFacesNear(edge, outFaces);
+ }
+
+
+
+ void Polyhedron::transform(const carve::math::Matrix &xform) {
+ for (size_t i = 0; i < vertices.size(); i++) {
+ vertices[i].v = xform * vertices[i].v;
+ }
+ for (size_t i = 0; i < faces.size(); i++) {
+ faces[i].recalc();
+ }
+ init();
+ }
+
+
+
+ void Polyhedron::print(std::ostream &o) const {
+ o << "Polyhedron@" << this << " {" << std::endl;
+ for (std::vector<vertex_t >::const_iterator
+ i = vertices.begin(), e = vertices.end(); i != e; ++i) {
+ o << " V@" << &(*i) << " " << (*i).v << std::endl;
+ }
+ for (std::vector<edge_t >::const_iterator
+ i = edges.begin(), e = edges.end(); i != e; ++i) {
+ o << " E@" << &(*i) << " {" << std::endl;
+ o << " V@" << (*i).v1 << " - " << "V@" << (*i).v2 << std::endl;
+ const std::vector<const face_t *> &faces = connectivity.edge_to_face[edgeToIndex_fast(&(*i))];
+ for (size_t j = 0; j < (faces.size() & ~1U); j += 2) {
+ o << " fp: F@" << faces[j] << ", F@" << faces[j+1] << std::endl;
+ }
+ o << " }" << std::endl;
+ }
+ for (std::vector<face_t >::const_iterator
+ i = faces.begin(), e = faces.end(); i != e; ++i) {
+ o << " F@" << &(*i) << " {" << std::endl;
+ o << " vertices {" << std::endl;
+ for (face_t::const_vertex_iter_t j = (*i).vbegin(), je = (*i).vend(); j != je; ++j) {
+ o << " V@" << (*j) << std::endl;
+ }
+ o << " }" << std::endl;
+ o << " edges {" << std::endl;
+ for (face_t::const_edge_iter_t j = (*i).ebegin(), je = (*i).eend(); j != je; ++j) {
+ o << " E@" << (*j) << std::endl;
+ }
+ carve::geom::plane<3> p = (*i).plane_eqn;
+ o << " }" << std::endl;
+ o << " normal " << (*i).plane_eqn.N << std::endl;
+ o << " aabb " << (*i).aabb << std::endl;
+ o << " plane_eqn ";
+ carve::geom::operator<< <3>(o, p);
+ o << std::endl;
+ o << " }" << std::endl;
+ }
+
+ o << "}" << std::endl;
+ }
+
+
+
+ void Polyhedron::canonicalize() {
+ orderVertices();
+ for (size_t i = 0; i < faces.size(); i++) {
+ face_t &f = faces[i];
+ size_t j = std::distance(f.vbegin(),
+ std::min_element(f.vbegin(),
+ f.vend()));
+ if (j) {
+ {
+ std::vector<const vertex_t *> temp;
+ temp.reserve(f.nVertices());
+ std::copy(f.vbegin() + j, f.vend(), std::back_inserter(temp));
+ std::copy(f.vbegin(), f.vbegin() + j, std::back_inserter(temp));
+ std::copy(temp.begin(), temp.end(), f.vbegin());
+ }
+ {
+ std::vector<const edge_t *> temp;
+ temp.reserve(f.nEdges());
+ std::copy(f.ebegin() + j, f.eend(), std::back_inserter(temp));
+ std::copy(f.ebegin(), f.ebegin() + j, std::back_inserter(temp));
+ std::copy(temp.begin(), temp.end(), f.ebegin());
+ }
+ }
+ }
+
+ std::vector<face_t *> face_ptrs;
+ face_ptrs.reserve(faces.size());
+ for (size_t i = 0; i < faces.size(); ++i) face_ptrs.push_back(&faces[i]);
+ std::sort(face_ptrs.begin(), face_ptrs.end(), order_faces());
+ std::vector<face_t> sorted_faces;
+ sorted_faces.reserve(faces.size());
+ for (size_t i = 0; i < faces.size(); ++i) sorted_faces.push_back(*face_ptrs[i]);
+ std::swap(faces, sorted_faces);
+ }
+
+ }
+}
+
diff --git a/extern/carve/lib/polyline.cpp b/extern/carve/lib/polyline.cpp
new file mode 100644
index 00000000000..d9681c76a5c
--- /dev/null
+++ b/extern/carve/lib/polyline.cpp
@@ -0,0 +1,67 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/geom.hpp>
+#include <carve/vector.hpp>
+#include <carve/polyline.hpp>
+
+namespace carve {
+ namespace line {
+ carve::geom3d::AABB Polyline::aabb() const {
+ return carve::geom3d::AABB(vbegin(), vend(), vec_adapt_vertex_ptr());
+ }
+
+ PolylineSet::PolylineSet(const std::vector<carve::geom3d::Vector> &points) {
+ vertices.resize(points.size());
+ for (size_t i = 0; i < points.size(); ++i) vertices[i].v = points[i];
+ aabb.fit(points.begin(), points.end(), carve::geom3d::vec_adapt_ident());
+ }
+
+ void PolylineSet::sortVertices(const carve::geom3d::Vector &axis) {
+ std::vector<std::pair<double, size_t> > temp;
+ temp.reserve(vertices.size());
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ temp.push_back(std::make_pair(dot(axis, vertices[i].v), i));
+ }
+ std::sort(temp.begin(), temp.end());
+ std::vector<Vertex> vnew;
+ std::vector<int> revmap;
+ vnew.reserve(vertices.size());
+ revmap.resize(vertices.size());
+
+ for (size_t i = 0; i < vertices.size(); ++i) {
+ vnew.push_back(vertices[temp[i].second]);
+ revmap[temp[i].second] = i;
+ }
+
+ for (line_iter i = lines.begin(); i != lines.end(); ++i) {
+ Polyline &l = *(*i);
+ for (size_t j = 0; j < l.edges.size(); ++j) {
+ PolylineEdge &e = *l.edges[j];
+ if (e.v1) e.v1 = &vnew[revmap[vertexToIndex_fast(e.v1)]];
+ if (e.v2) e.v2 = &vnew[revmap[vertexToIndex_fast(e.v2)]];
+ }
+ }
+ vertices.swap(vnew);
+ }
+
+ }
+}
diff --git a/extern/carve/lib/tag.cpp b/extern/carve/lib/tag.cpp
new file mode 100644
index 00000000000..449eb555346
--- /dev/null
+++ b/extern/carve/lib/tag.cpp
@@ -0,0 +1,24 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/tag.hpp>
+
+int carve::tagable::s_count = 0;
diff --git a/extern/carve/lib/timing.cpp b/extern/carve/lib/timing.cpp
new file mode 100644
index 00000000000..a98796cd8a7
--- /dev/null
+++ b/extern/carve/lib/timing.cpp
@@ -0,0 +1,436 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if CARVE_USE_TIMINGS
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/timing.hpp>
+
+#include <cstring>
+#include <list>
+#include <stack>
+#include <vector>
+#include <map>
+#include <iostream>
+#include <string>
+#include <algorithm>
+
+#ifdef WIN32
+#include <windows.h>
+#else
+#include <time.h>
+#include <sys/time.h>
+#endif
+
+#ifndef CARVE_USE_GLOBAL_NEW_DELETE
+#define CARVE_USE_GLOBAL_NEW_DELETE 0
+#endif
+
+namespace carve {
+ static uint64_t memoryCurr = 0;
+ static uint64_t memoryTotal = 0;
+ unsigned blkCntCurr[32] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
+ unsigned blkCntTotal[32] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
+
+ void addBlk(unsigned size) {
+ unsigned i = 0;
+ while (i < 31 && (1U<<i) < size) ++i;
+ blkCntCurr[i]++;
+ blkCntTotal[i]++;
+ }
+ void remBlk(unsigned size) {
+ unsigned i = 0;
+ while (i < 31 && (1<<i) < size) ++i;
+ blkCntCurr[i]--;
+ }
+}
+
+// lets provide a global new and delete as well
+
+#if CARVE_USE_GLOBAL_NEW_DELETE
+
+#if defined(__APPLE__)
+
+#include <stdlib.h>
+#include <malloc/malloc.h>
+
+void* carve_alloc(size_t size) {
+ void *p = malloc(size);
+ if (p == 0) throw std::bad_alloc(); // ANSI/ISO compliant behavior
+
+ unsigned sz = malloc_size(p);
+ carve::memoryCurr += sz;
+ carve::memoryTotal += sz;
+ carve::addBlk(sz);
+ return p;
+}
+
+void carve_free(void *p) {
+ unsigned sz = malloc_size(p);
+ carve::memoryCurr -= sz;
+ carve::remBlk(sz);
+ free(p);
+}
+
+#else
+
+void* carve_alloc(size_t size) {
+ void *p = malloc(size + 4);
+ if (p == 0) throw std::bad_alloc(); // ANSI/ISO compliant behavior
+
+ int *sizePtr = (int*)p;
+ *sizePtr = size;
+ ++sizePtr;
+ carve::memoryCurr += size;
+ carve::memoryTotal += size;
+ carve::addBlk(size);
+ return sizePtr;
+}
+
+void carve_free(void *p) {
+ // our memory block is actually a size of an int behind this pointer.
+ int *sizePtr = (int*)p;
+
+ --sizePtr;
+
+ carve::memoryCurr -= *sizePtr;
+ int size = *sizePtr;
+ carve::remBlk(size);
+ free(sizePtr);
+}
+
+#endif
+
+
+void* operator new (size_t size) {
+ return carve_alloc(size);
+}
+
+void* operator new[](size_t size) {
+ return carve_alloc(size);
+}
+
+
+void operator delete (void *p) {
+ carve_free(p);
+}
+
+void operator delete[](void *p) {
+ carve_free(p);
+}
+
+#endif
+
+namespace carve {
+
+
+
+#ifdef WIN32
+
+ typedef __int64 precise_time_t;
+
+ precise_time_t g_frequency;
+
+ void initTime() {
+ ::QueryPerformanceFrequency((LARGE_INTEGER*)&g_frequency);
+ }
+
+ void getTime(precise_time_t &t) {
+ ::QueryPerformanceCounter((LARGE_INTEGER*)&t);
+ }
+
+ double diffTime(precise_time_t from, precise_time_t to) {
+ return (double)(to - from) / (double)g_frequency;
+ }
+
+#else
+
+ typedef double precise_time_t;
+
+ void initTime() {
+ }
+
+ void getTime(precise_time_t &t) {
+ struct timeval tv;
+ gettimeofday(&tv, NULL);
+ t = tv.tv_sec + tv.tv_usec / 1000000.0;
+ }
+
+ double diffTime(precise_time_t from, precise_time_t to) {
+ return to - from;
+ }
+
+#endif
+
+ struct Entry {
+ Entry(int _id) {
+ id = _id;
+ time = 0;
+ parent = NULL;
+ }
+ int id;
+ double time;
+ int64_t memoryDiff;
+ int64_t allocTotal;
+ int delta_blk_cnt_curr[32];
+ int delta_blk_cnt_total[32];
+ Entry *parent;
+ std::vector<Entry *> children;
+ };
+
+ struct Timer {
+ struct cmp {
+ bool operator()(const std::pair<int, double> &a, const std::pair<int, double> &b) const {
+ return b.second < a.second;
+ }
+ bool operator()(const Entry * const &a, const Entry * const &b) const {
+ return b->time < a->time;
+ }
+ };
+
+ Timer() {
+ initTime();
+ }
+
+ struct Snapshot {
+ precise_time_t time;
+ uint64_t memory_curr;
+ uint64_t memory_total;
+ unsigned blk_cnt_curr[32];
+ unsigned blk_cnt_total[32];
+ };
+
+ static void getSnapshot(Snapshot &snapshot) {
+ getTime(snapshot.time);
+ snapshot.memory_curr = carve::memoryCurr;
+ snapshot.memory_total = carve::memoryTotal;
+ std::memcpy(snapshot.blk_cnt_curr, carve::blkCntCurr, sizeof(carve::blkCntCurr));
+ std::memcpy(snapshot.blk_cnt_total, carve::blkCntTotal, sizeof(carve::blkCntTotal));
+ }
+
+ static void compareSnapshot(const Snapshot &from, const Snapshot &to, Entry *entry) {
+ entry->time = diffTime(from.time, to.time);
+ entry->memoryDiff = to.memory_curr - from.memory_curr;
+ entry->allocTotal = to.memory_total - from.memory_total;
+ for (int i = 0; i < 32; i++) {
+ entry->delta_blk_cnt_curr[i] = to.blk_cnt_curr[i] - from.blk_cnt_curr[i];
+ entry->delta_blk_cnt_total[i] = to.blk_cnt_total[i] - from.blk_cnt_total[i];
+ }
+ }
+
+ std::stack<std::pair<Entry*, Snapshot> > currentTimers;
+
+ void startTiming(int id) {
+ entries.push_back(Entry(id));
+ currentTimers.push(std::make_pair(&entries.back(), Snapshot()));
+ getSnapshot(currentTimers.top().second);
+ }
+
+ double endTiming() {
+ Snapshot end;
+ getSnapshot(end);
+
+ Entry *entry = currentTimers.top().first;
+ compareSnapshot(currentTimers.top().second, end, entry);
+
+ currentTimers.pop();
+ if (!currentTimers.empty()) {
+ entry->parent = currentTimers.top().first;
+ entry->parent->children.push_back(entry);
+ } else {
+ root_entries.push_back(entry);
+ }
+ //std::sort(entry->children.begin(), entry->children.end(), cmp());
+ return entry->time;
+ }
+
+ typedef std::list<Entry> EntryList;
+ EntryList entries;
+ std::vector<Entry *> root_entries;
+
+ std::map<int, std::string> names;
+
+ static std::string formatMemory(int64_t value) {
+
+ std::ostringstream result;
+
+ result << (value >= 0 ? "+" : "-");
+ if (value < 0) {
+ value = -value;
+ }
+
+ int power = 1;
+ while (value > pow(10.0, power)) {
+ power++;
+ }
+
+ for (power--; power >= 0; power--) {
+ int64_t base = pow(10.0, power);
+ int64_t amount = value / base;
+ result <<
+#if defined(_MSC_VER) && _MSC_VER < 1300
+ (long)
+#endif
+ amount;
+ if (power > 0 && (power % 3) == 0) {
+ result << ",";
+ }
+ value -= amount * base;
+ }
+
+ result << " bytes";
+
+ return result.str();
+ }
+
+ void printEntries(std::ostream &o, const std::vector<Entry *> &entries, const std::string &indent, double parent_time) {
+ if (parent_time <= 0.0) {
+ parent_time = 0.0;
+ for (size_t i = 0; i < entries.size(); ++i) {
+ parent_time += entries[i]->time;
+ }
+ }
+ double t_tot = 0.0;
+ for (size_t i = 0; i < entries.size(); ++i) {
+ const Entry *entry = entries[i];
+
+ std::ostringstream r;
+ r << indent;
+ std::string str = names[entry->id];
+ if (str.empty()) {
+ r << "(" << entry->id << ")";
+ } else {
+ r << str;
+ }
+ r << " ";
+ std::string pad(r.str().size(), ' ');
+ r << " - exectime: " << entry->time << "s (" << (entry->time * 100.0 / parent_time) << "%)" << std::endl;
+ if (entry->allocTotal || entry->memoryDiff) {
+ r << pad << " - alloc: " << formatMemory(entry->allocTotal) << " delta: " << formatMemory(entry->memoryDiff) << std::endl;
+ r << pad << " - alloc blks:";
+ for (int i = 0; i < 32; i++) { if (entry->delta_blk_cnt_total[i]) r << ' ' << ((1 << (i - 1)) + 1) << '-' << (1 << i) << ':' << entry->delta_blk_cnt_total[i]; }
+ r << std::endl;
+ r << pad << " - delta blks:";
+ for (int i = 0; i < 32; i++) { if (entry->delta_blk_cnt_curr[i]) r << ' ' << ((1 << (i - 1)) + 1) << '-' << (1 << i) << ':' << entry->delta_blk_cnt_curr[i]; }
+ r << std::endl;
+ }
+ o << r.str();
+ t_tot += entry->time;
+ if (entry->children.size()) printEntries(o, entry->children, indent + " ", entry->time);
+ }
+ if (t_tot < parent_time) {
+ o << indent << "*** unaccounted: " << (parent_time - t_tot) << "s (" << (100.0 - t_tot * 100.0 / parent_time) << "%)" << std::endl;
+ }
+ }
+
+ void print() {
+ std::map<int, double> totals;
+ std::cerr << "Timings: " << std::endl;
+ // print out all the entries.
+
+ //std::sort(root_entries.begin(), root_entries.end(), cmp());
+
+ printEntries(std::cerr, root_entries, " ", -1.0);
+
+ for (EntryList::const_iterator it = entries.begin(); it != entries.end(); ++it) {
+ totals[(*it).id] += (*it).time;
+ }
+
+ std::cerr << std::endl;
+ std::cerr << "Totals: " << std::endl;
+
+ std::vector<std::pair<int, double> > sorted_totals;
+ sorted_totals.reserve(totals.size());
+ for (std::map<int,double>::iterator it = totals.begin(); it != totals.end(); ++it) {
+ sorted_totals.push_back(*it);
+ }
+
+ std::sort(sorted_totals.begin(), sorted_totals.end(), cmp());
+
+ for (std::vector<std::pair<int,double> >::iterator it = sorted_totals.begin(); it != sorted_totals.end(); ++it) {
+ std::cerr << " ";
+ std::string str = names[it->first];
+ if (str.empty()) {
+ std::cerr << "(" << it->first << ")";
+ } else {
+ std::cerr << str;
+ }
+ std::cerr << " - " << it->second << "s " << std::endl;
+ }
+ }
+ void registerID(int id, const char *name) {
+ names[id] = name;
+ }
+ int registerID(const char *name) {
+ int id = names.size() + 1;
+ names[id] = name;
+ return id;
+ }
+
+ };
+
+ Timer timer;
+
+
+ TimingBlock::TimingBlock(int id) {
+#if CARVE_USE_TIMINGS
+ timer.startTiming(id);
+#endif
+ }
+
+ TimingBlock::TimingBlock(const TimingName &name) {
+#if CARVE_USE_TIMINGS
+ timer.startTiming(name.id);
+#endif
+ }
+
+
+ TimingBlock::~TimingBlock() {
+#if CARVE_USE_TIMINGS
+ timer.endTiming();
+#endif
+ }
+ void Timing::start(int id) {
+#if CARVE_USE_TIMINGS
+ timer.startTiming(id);
+#endif
+ }
+
+ double Timing::stop() {
+#if CARVE_USE_TIMINGS
+ return timer.endTiming();
+#endif
+ }
+
+ void Timing::printTimings() {
+ timer.print();
+ }
+
+ void Timing::registerID(int id, const char *name) {
+ timer.registerID(id, name);
+ }
+
+ TimingName::TimingName(const char *name) {
+ id = timer.registerID(name);
+ }
+
+}
+
+#endif
diff --git a/extern/carve/lib/triangulator.cpp b/extern/carve/lib/triangulator.cpp
new file mode 100644
index 00000000000..b36aecf98be
--- /dev/null
+++ b/extern/carve/lib/triangulator.cpp
@@ -0,0 +1,1211 @@
+// Begin License:
+// Copyright (C) 2006-2011 Tobias Sargeant (tobias.sargeant@gmail.com).
+// All rights reserved.
+//
+// This file is part of the Carve CSG Library (http://carve-csg.com/)
+//
+// This file may be used under the terms of the GNU General Public
+// License version 2.0 as published by the Free Software Foundation
+// and appearing in the file LICENSE.GPL2 included in the packaging of
+// this file.
+//
+// This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+// INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE.
+// End:
+
+
+#if defined(HAVE_CONFIG_H)
+# include <carve_config.h>
+#endif
+
+#include <carve/csg.hpp>
+#include <carve/triangulator.hpp>
+
+#include <fstream>
+#include <sstream>
+
+#include <algorithm>
+
+
+namespace {
+ // private code related to hole patching.
+
+ class order_h_loops_2d {
+ order_h_loops_2d &operator=(const order_h_loops_2d &);
+
+ const std::vector<std::vector<carve::geom2d::P2> > &poly;
+ int axis;
+ public:
+
+ order_h_loops_2d(const std::vector<std::vector<carve::geom2d::P2> > &_poly, int _axis) :
+ poly(_poly), axis(_axis) {
+ }
+
+ bool operator()(const std::pair<size_t, size_t> &a,
+ const std::pair<size_t, size_t> &b) const {
+ return carve::triangulate::detail::axisOrdering(poly[a.first][a.second], poly[b.first][b.second], axis);
+ }
+ };
+
+ class heap_ordering_2d {
+ heap_ordering_2d &operator=(const heap_ordering_2d &);
+
+ const std::vector<std::vector<carve::geom2d::P2> > &poly;
+ const std::vector<std::pair<size_t, size_t> > &loop;
+ const carve::geom2d::P2 p;
+ int axis;
+
+ public:
+
+ heap_ordering_2d(const std::vector<std::vector<carve::geom2d::P2> > &_poly,
+ const std::vector<std::pair<size_t, size_t> > &_loop,
+ const carve::geom2d::P2 _p,
+ int _axis) : poly(_poly), loop(_loop), p(_p), axis(_axis) {
+ }
+
+ bool operator()(size_t a, size_t b) const {
+ double da = carve::geom::distance2(p, poly[loop[a].first][loop[a].second]);
+ double db = carve::geom::distance2(p, poly[loop[b].first][loop[b].second]);
+ if (da > db) return true;
+ if (da < db) return false;
+ return carve::triangulate::detail::axisOrdering(poly[loop[a].first][loop[a].second], poly[loop[b].first][loop[b].second], axis);
+ }
+ };
+
+ static inline void patchHoleIntoPolygon_2d(std::vector<std::pair<size_t, size_t> > &f_loop,
+ size_t f_loop_attach,
+ size_t h_loop,
+ size_t h_loop_attach,
+ size_t h_loop_size) {
+ f_loop.insert(f_loop.begin() + f_loop_attach + 1, h_loop_size + 2, std::make_pair(h_loop, 0));
+ size_t f = f_loop_attach + 1;
+
+ for (size_t h = h_loop_attach; h != h_loop_size; ++h) {
+ f_loop[f++].second = h;
+ }
+
+ for (size_t h = 0; h <= h_loop_attach; ++h) {
+ f_loop[f++].second = h;
+ }
+
+ f_loop[f] = f_loop[f_loop_attach];
+ }
+
+ static inline const carve::geom2d::P2 &pvert(const std::vector<std::vector<carve::geom2d::P2> > &poly, const std::pair<size_t, size_t> &idx) {
+ return poly[idx.first][idx.second];
+ }
+}
+
+
+namespace {
+ // private code related to triangulation.
+
+ using carve::triangulate::detail::vertex_info;
+
+ struct vertex_info_ordering {
+ bool operator()(const vertex_info *a, const vertex_info *b) const {
+ return a->score < b->score;
+ }
+ };
+
+ struct vertex_info_l2norm_inc_ordering {
+ const vertex_info *v;
+ vertex_info_l2norm_inc_ordering(const vertex_info *_v) : v(_v) {
+ }
+ bool operator()(const vertex_info *a, const vertex_info *b) const {
+ return carve::geom::distance2(v->p, a->p) > carve::geom::distance2(v->p, b->p);
+ }
+ };
+
+ class EarQueue {
+ std::vector<vertex_info *> queue;
+
+ void checkheap() {
+#ifdef __GNUC__
+ CARVE_ASSERT(std::__is_heap(queue.begin(), queue.end(), vertex_info_ordering()));
+#endif
+ }
+
+ public:
+ EarQueue() {
+ }
+
+ size_t size() const {
+ return queue.size();
+ }
+
+ void push(vertex_info *v) {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ queue.push_back(v);
+ std::push_heap(queue.begin(), queue.end(), vertex_info_ordering());
+ }
+
+ vertex_info *pop() {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ std::pop_heap(queue.begin(), queue.end(), vertex_info_ordering());
+ vertex_info *v = queue.back();
+ queue.pop_back();
+ return v;
+ }
+
+ void remove(vertex_info *v) {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ CARVE_ASSERT(std::find(queue.begin(), queue.end(), v) != queue.end());
+ double score = v->score;
+ if (v != queue[0]) {
+ v->score = queue[0]->score + 1;
+ std::make_heap(queue.begin(), queue.end(), vertex_info_ordering());
+ }
+ CARVE_ASSERT(v == queue[0]);
+ std::pop_heap(queue.begin(), queue.end(), vertex_info_ordering());
+ CARVE_ASSERT(queue.back() == v);
+ queue.pop_back();
+ v->score = score;
+ }
+
+ void changeScore(vertex_info *v, double score) {
+#if defined(CARVE_DEBUG)
+ checkheap();
+#endif
+ CARVE_ASSERT(std::find(queue.begin(), queue.end(), v) != queue.end());
+ if (v->score != score) {
+ v->score = score;
+ std::make_heap(queue.begin(), queue.end(), vertex_info_ordering());
+ }
+ }
+
+ // 39% of execution time
+ void updateVertex(vertex_info *v) {
+ double spre = v->score;
+ bool qpre = v->isCandidate();
+ v->recompute();
+ bool qpost = v->isCandidate();
+ double spost = v->score;
+
+ v->score = spre;
+
+ if (qpre) {
+ if (qpost) {
+ if (v->score != spre) {
+ changeScore(v, spost);
+ }
+ } else {
+ remove(v);
+ }
+ } else {
+ if (qpost) {
+ push(v);
+ }
+ }
+ }
+ };
+
+
+
+ int windingNumber(vertex_info *begin, const carve::geom2d::P2 &point) {
+ int wn = 0;
+
+ vertex_info *v = begin;
+ do {
+ if (v->p.y <= point.y) {
+ if (v->next->p.y > point.y && carve::geom2d::orient2d(v->p, v->next->p, point) > 0.0) {
+ ++wn;
+ }
+ } else {
+ if (v->next->p.y <= point.y && carve::geom2d::orient2d(v->p, v->next->p, point) < 0.0) {
+ --wn;
+ }
+ }
+ v = v->next;
+ } while (v != begin);
+
+ return wn;
+ }
+
+
+
+ bool internalToAngle(const vertex_info *a,
+ const vertex_info *b,
+ const vertex_info *c,
+ const carve::geom2d::P2 &p) {
+ return carve::geom2d::internalToAngle(a->p, b->p, c->p, p);
+ }
+
+
+
+ bool findDiagonal(vertex_info *begin, vertex_info *&v1, vertex_info *&v2) {
+ vertex_info *t;
+ std::vector<vertex_info *> heap;
+
+ v1 = begin;
+ do {
+ heap.clear();
+
+ for (v2 = v1->next->next; v2 != v1->prev; v2 = v2->next) {
+ if (!internalToAngle(v1->next, v1, v1->prev, v2->p) ||
+ !internalToAngle(v2->next, v2, v2->prev, v1->p)) continue;
+
+ heap.push_back(v2);
+ std::push_heap(heap.begin(), heap.end(), vertex_info_l2norm_inc_ordering(v1));
+ }
+
+ while (heap.size()) {
+ std::pop_heap(heap.begin(), heap.end(), vertex_info_l2norm_inc_ordering(v1));
+ v2 = heap.back(); heap.pop_back();
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "testing: " << v1 << " - " << v2 << std::endl;
+ std::cerr << " length = " << (v2->p - v1->p).length() << std::endl;
+ std::cerr << " pos: " << v1->p << " - " << v2->p << std::endl;
+#endif
+ // test whether v1-v2 is a valid diagonal.
+ double v_min_x = std::min(v1->p.x, v2->p.x);
+ double v_max_x = std::max(v1->p.x, v2->p.x);
+
+ bool intersected = false;
+
+ for (t = v1->next; !intersected && t != v1->prev; t = t->next) {
+ vertex_info *u = t->next;
+ if (t == v2 || u == v2) continue;
+
+ double l1 = carve::geom2d::orient2d(v1->p, v2->p, t->p);
+ double l2 = carve::geom2d::orient2d(v1->p, v2->p, u->p);
+
+ if ((l1 > 0.0 && l2 > 0.0) || (l1 < 0.0 && l2 < 0.0)) {
+ // both on the same side; no intersection
+ continue;
+ }
+
+ double dx13 = v1->p.x - t->p.x;
+ double dy13 = v1->p.y - t->p.y;
+ double dx43 = u->p.x - t->p.x;
+ double dy43 = u->p.y - t->p.y;
+ double dx21 = v2->p.x - v1->p.x;
+ double dy21 = v2->p.y - v1->p.y;
+ double ua_n = dx43 * dy13 - dy43 * dx13;
+ double ub_n = dx21 * dy13 - dy21 * dx13;
+ double u_d = dy43 * dx21 - dx43 * dy21;
+
+ if (carve::math::ZERO(u_d)) {
+ // parallel
+ if (carve::math::ZERO(ua_n)) {
+ // colinear
+ if (std::max(t->p.x, u->p.x) >= v_min_x && std::min(t->p.x, u->p.x) <= v_max_x) {
+ // colinear and intersecting
+ intersected = true;
+ }
+ }
+ } else {
+ // not parallel
+ double ua = ua_n / u_d;
+ double ub = ub_n / u_d;
+
+ if (0.0 <= ua && ua <= 1.0 && 0.0 <= ub && ub <= 1.0) {
+ intersected = true;
+ }
+ }
+#if defined(CARVE_DEBUG)
+ if (intersected) {
+ std::cerr << " failed on edge: " << t << " - " << u << std::endl;
+ std::cerr << " pos: " << t->p << " - " << u->p << std::endl;
+ }
+#endif
+ }
+
+ if (!intersected) {
+ // test whether midpoint winding == 1
+
+ carve::geom2d::P2 mid = (v1->p + v2->p) / 2;
+ if (windingNumber(begin, mid) == 1) {
+ // this diagonal is ok
+ return true;
+ }
+ }
+ }
+
+ // couldn't find a diagonal from v1 that was ok.
+ v1 = v1->next;
+ } while (v1 != begin);
+ return false;
+ }
+
+
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ void dumpPoly(const std::vector<carve::geom2d::P2> &points,
+ const std::vector<carve::triangulate::tri_idx> &result) {
+ static int step = 0;
+ std::ostringstream filename;
+ filename << "poly_" << step++ << ".svg";
+ std::cerr << "dumping to " << filename.str() << std::endl;
+ std::ofstream out(filename.str().c_str());
+
+ double minx = points[0].x, maxx = points[0].x;
+ double miny = points[0].y, maxy = points[0].y;
+
+ for (size_t i = 1; i < points.size(); ++i) {
+ minx = std::min(points[i].x, minx); maxx = std::max(points[i].x, maxx);
+ miny = std::min(points[i].y, miny); maxy = std::max(points[i].y, maxy);
+ }
+ double scale = 100 / std::max(maxx-minx, maxy-miny);
+
+ maxx *= scale; minx *= scale;
+ maxy *= scale; miny *= scale;
+
+ double width = maxx - minx + 10;
+ double height = maxy - miny + 10;
+
+ out << "\
+<?xml version=\"1.0\"?>\n\
+<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n\
+<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" width=\"" << width << "\" height=\"" << height << "\">\n";
+
+ out << "<polygon fill=\"rgb(0,0,0)\" stroke=\"blue\" stroke-width=\"0.1\" points=\"";
+ for (size_t i = 0; i < points.size(); ++i) {
+ if (i) out << ' ';
+ double x, y;
+ x = scale * (points[i].x) - minx + 5;
+ y = scale * (points[i].y) - miny + 5;
+ out << x << ',' << y;
+ }
+ out << "\" />" << std::endl;
+
+ for (size_t i = 0; i < result.size(); ++i) {
+ out << "<polygon fill=\"rgb(255,255,255)\" stroke=\"black\" stroke-width=\"0.1\" points=\"";
+ double x, y;
+ x = scale * (points[result[i].a].x) - minx + 5;
+ y = scale * (points[result[i].a].y) - miny + 5;
+ out << x << ',' << y << ' ';
+ x = scale * (points[result[i].b].x) - minx + 5;
+ y = scale * (points[result[i].b].y) - miny + 5;
+ out << x << ',' << y << ' ';
+ x = scale * (points[result[i].c].x) - minx + 5;
+ y = scale * (points[result[i].c].y) - miny + 5;
+ out << x << ',' << y;
+ out << "\" />" << std::endl;
+ }
+
+ out << "</svg>" << std::endl;
+ }
+#endif
+}
+
+
+
+double carve::triangulate::detail::vertex_info::triScore(const vertex_info *p, const vertex_info *v, const vertex_info *n) {
+
+ // different scoring functions.
+#if 0
+ bool convex = isLeft(p, v, n);
+ if (!convex) return -1e-5;
+
+ double a1 = carve::geom2d::atan2(p->p - v->p) - carve::geom2d::atan2(n->p - v->p);
+ double a2 = carve::geom2d::atan2(v->p - n->p) - carve::geom2d::atan2(p->p - n->p);
+ if (a1 < 0) a1 += M_PI * 2;
+ if (a2 < 0) a2 += M_PI * 2;
+
+ return std::min(a1, std::min(a2, M_PI - a1 - a2)) / (M_PI / 3);
+#endif
+
+#if 1
+ // range: 0 - 1
+ double a, b, c;
+
+ bool convex = isLeft(p, v, n);
+ if (!convex) return -1e-5;
+
+ a = (n->p - v->p).length();
+ b = (p->p - n->p).length();
+ c = (v->p - p->p).length();
+
+ if (a < 1e-10 || b < 1e-10 || c < 1e-10) return 0.0;
+
+ return std::max(std::min((a+b)/c, std::min((a+c)/b, (b+c)/a)) - 1.0, 0.0);
+#endif
+}
+
+
+
+double carve::triangulate::detail::vertex_info::calcScore() const {
+
+#if 0
+ // examine only this triangle.
+ double this_tri = triScore(prev, this, next);
+ return this_tri;
+#endif
+
+#if 1
+ // attempt to look ahead in the neighbourhood to attempt to clip ears that have good neighbours.
+ double this_tri = triScore(prev, this, next);
+ double next_tri = triScore(prev, next, next->next);
+ double prev_tri = triScore(prev->prev, prev, next);
+
+ return this_tri + std::max(next_tri, prev_tri) * .2;
+#endif
+
+#if 0
+ // attempt to penalise ears that will require producing a sliver triangle.
+ double score = triScore(prev, this, next);
+
+ double a1, a2;
+ a1 = carve::geom2d::atan2(prev->p - next->p);
+ a2 = carve::geom2d::atan2(next->next->p - next->p);
+ if (fabs(a1 - a2) < 1e-5) score -= .5;
+
+ a1 = carve::geom2d::atan2(next->p - prev->p);
+ a2 = carve::geom2d::atan2(prev->prev->p - prev->p);
+ if (fabs(a1 - a2) < 1e-5) score -= .5;
+
+ return score;
+#endif
+}
+
+
+
+bool carve::triangulate::detail::vertex_info::isClipable() const {
+ for (const vertex_info *v_test = next->next; v_test != prev; v_test = v_test->next) {
+ if (v_test->convex) {
+ continue;
+ }
+
+ if (v_test->p == prev->p ||
+ v_test->p == next->p) {
+ continue;
+ }
+
+ if (v_test->p == p) {
+ if (v_test->next->p == prev->p &&
+ v_test->prev->p == next->p) {
+ return false;
+ }
+ if (v_test->next->p == prev->p ||
+ v_test->prev->p == next->p) {
+ continue;
+ }
+ }
+
+ if (pointInTriangle(prev, this, next, v_test)) {
+ return false;
+ }
+ }
+ return true;
+}
+
+
+
+size_t carve::triangulate::detail::removeDegeneracies(vertex_info *&begin, std::vector<carve::triangulate::tri_idx> &result) {
+ vertex_info *v = begin;
+ vertex_info *n;
+ size_t count = 0;
+ do {
+ bool remove = false;
+ if (v->p == v->next->p) {
+ remove = true;
+ } else if (v->p == v->next->next->p) {
+ if (v->next->p == v->next->next->next->p) {
+ // a 'z' in the loop: z (a) b a b c -> remove a-b-a -> z (a) a b c -> remove a-a-b (next loop) -> z a b c
+ // z --(a)-- b
+ // /
+ // /
+ // a -- b -- d
+ remove = true;
+ } else {
+ // a 'shard' in the loop: z (a) b a c d -> remove a-b-a -> z (a) a b c d -> remove a-a-b (next loop) -> z a b c d
+ // z --(a)-- b
+ // /
+ // /
+ // a -- c -- d
+ // n.b. can only do this if the shard is pointing out of the polygon. i.e. b is outside z-a-c
+ remove = !internalToAngle(v->next->next->next, v, v->prev, v->next->p);
+ }
+ }
+
+ if (remove) {
+ result.push_back(carve::triangulate::tri_idx(v->idx, v->next->idx, v->next->next->idx));
+ n = v->next;
+ if (n == begin) begin = n->next;
+ n->remove();
+ count++;
+ delete n;
+ continue;
+ }
+
+ v = v->next;
+ } while (v != begin);
+ return count;
+}
+
+
+
+bool carve::triangulate::detail::splitAndResume(vertex_info *begin, std::vector<carve::triangulate::tri_idx> &result) {
+ vertex_info *v1, *v2;
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ {
+ std::vector<carve::triangulate::tri_idx> dummy;
+ std::vector<carve::geom2d::P2> dummy_p;
+ vertex_info *v = begin;
+ do {
+ dummy_p.push_back(v->p);
+ v = v->next;
+ } while (v != begin);
+ std::cerr << "input to splitAndResume:" << std::endl;
+ dumpPoly(dummy_p, dummy);
+ }
+#endif
+
+
+ if (!findDiagonal(begin, v1, v2)) return false;
+
+ vertex_info *v1_copy = new vertex_info(*v1);
+ vertex_info *v2_copy = new vertex_info(*v2);
+
+ v1->next = v2;
+ v2->prev = v1;
+
+ v1_copy->next->prev = v1_copy;
+ v2_copy->prev->next = v2_copy;
+
+ v1_copy->prev = v2_copy;
+ v2_copy->next = v1_copy;
+
+ bool r1 = doTriangulate(v1, result);
+ bool r2 = doTriangulate(v1_copy, result);
+ return r1 && r2;
+}
+
+
+
+bool carve::triangulate::detail::doTriangulate(vertex_info *begin, std::vector<carve::triangulate::tri_idx> &result) {
+#if defined(CARVE_DEBUG)
+ std::cerr << "entering doTriangulate" << std::endl;
+#endif
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ {
+ std::vector<carve::triangulate::tri_idx> dummy;
+ std::vector<carve::geom2d::P2> dummy_p;
+ vertex_info *v = begin;
+ do {
+ dummy_p.push_back(v->p);
+ v = v->next;
+ } while (v != begin);
+ dumpPoly(dummy_p, dummy);
+ }
+#endif
+
+ EarQueue vq;
+
+ vertex_info *v = begin;
+ size_t remain = 0;
+ do {
+ if (v->isCandidate()) vq.push(v);
+ v = v->next;
+ remain++;
+ } while (v != begin);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "remain = " << remain << std::endl;
+#endif
+
+ while (vq.size()) {
+ vertex_info *v = vq.pop();
+ if (!v->isClipable()) {
+ v->failed = true;
+ continue;
+ }
+
+ continue_clipping:
+ vertex_info *n = v->next;
+ vertex_info *p = v->prev;
+
+ result.push_back(carve::triangulate::tri_idx(v->prev->idx, v->idx, v->next->idx));
+
+#if defined(CARVE_DEBUG)
+ {
+ std::vector<carve::geom2d::P2> temp;
+ temp.push_back(v->prev->p);
+ temp.push_back(v->p);
+ temp.push_back(v->next->p);
+ std::cerr << "clip " << v << " idx = " << v->idx << " score = " << v->score << " area = " << carve::geom2d::signedArea(temp) << " " << temp[0] << " " << temp[1] << " " << temp[2] << std::endl;
+ }
+#endif
+
+ v->remove();
+ remain--;
+ if (v == begin) begin = v->next;
+ delete v;
+
+ vq.updateVertex(n);
+ vq.updateVertex(p);
+
+ if (n->score < p->score) { std::swap(n, p); }
+
+ if (n->score > 0.25 && n->isCandidate() && n->isClipable()) {
+ vq.remove(n);
+ v = n;
+#if defined(CARVE_DEBUG)
+ std::cerr << " continue clipping (n), score = " << n->score << std::endl;
+#endif
+ goto continue_clipping;
+ }
+
+ if (p->score > 0.25 && p->isCandidate() && p->isClipable()) {
+ vq.remove(p);
+ v = p;
+#if defined(CARVE_DEBUG)
+ std::cerr << " continue clipping (p), score = " << n->score << std::endl;
+#endif
+ goto continue_clipping;
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "looking for new start point" << std::endl;
+ std::cerr << "remain = " << remain << std::endl;
+#endif
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "doTriangulate complete; remain=" << remain << std::endl;
+#endif
+
+ bool ret = true;
+
+ if (remain > 3) {
+ std::vector<carve::geom2d::P2> temp;
+ temp.reserve(remain);
+ vertex_info *v = begin;
+
+ do {
+ temp.push_back(v->p);
+ v = v->next;
+ } while (v != begin);
+
+ if (carve::geom2d::signedArea(temp) == 0) {
+ // XXX: this test will fail in cases where the boundary is
+ // twisted so that a negative area balances a positive area.
+#if defined(CARVE_DEBUG)
+ std::cerr << "skeleton remains. complete." << std::endl;
+#endif
+ goto done;
+ }
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "before removeDegeneracies: remain=" << remain << std::endl;
+#endif
+ remain -= removeDegeneracies(begin, result);
+#if defined(CARVE_DEBUG)
+ std::cerr << "after removeDegeneracies: remain=" << remain << std::endl;
+#endif
+ }
+
+ if (remain > 3) {
+ return splitAndResume(begin, result);
+ } else if (remain == 3) {
+ result.push_back(carve::triangulate::tri_idx(begin->idx, begin->next->idx, begin->next->next->idx));
+ ret = true;
+ } else {
+ ret = true;
+ }
+
+ done:
+ vertex_info *d = begin;
+ do {
+ vertex_info *n = d->next;
+ delete d;
+ d = n;
+ } while (d != begin);
+
+ return ret;
+}
+
+
+
+bool testCandidateAttachment(const std::vector<std::vector<carve::geom2d::P2> > &poly,
+ std::vector<std::pair<size_t, size_t> > &current_f_loop,
+ size_t curr,
+ carve::geom2d::P2 hole_min) {
+ const size_t SZ = current_f_loop.size();
+
+ if (!carve::geom2d::internalToAngle(pvert(poly, current_f_loop[(curr+1) % SZ]),
+ pvert(poly, current_f_loop[curr]),
+ pvert(poly, current_f_loop[(curr+SZ-1) % SZ]),
+ hole_min)) {
+ return false;
+ }
+
+ if (hole_min == pvert(poly, current_f_loop[curr])) {
+ return true;
+ }
+
+ carve::geom2d::LineSegment2 test(hole_min, pvert(poly, current_f_loop[curr]));
+
+ size_t v1 = current_f_loop.size() - 1;
+ size_t v2 = 0;
+ double v1_side = carve::geom2d::orient2d(test.v1, test.v2, pvert(poly, current_f_loop[v1]));
+ double v2_side = 0;
+
+ while (v2 != current_f_loop.size()) {
+ v2_side = carve::geom2d::orient2d(test.v1, test.v2, pvert(poly, current_f_loop[v2]));
+
+ if (v1_side != v2_side) {
+ // XXX: need to test vertices, not indices, because they may
+ // be duplicated.
+ if (pvert(poly, current_f_loop[v1]) != pvert(poly, current_f_loop[curr]) &&
+ pvert(poly, current_f_loop[v2]) != pvert(poly, current_f_loop[curr])) {
+ carve::geom2d::LineSegment2 test2(pvert(poly, current_f_loop[v1]), pvert(poly, current_f_loop[v2]));
+ if (carve::geom2d::lineSegmentIntersection_simple(test, test2)) {
+ // intersection; failed.
+ return false;
+ }
+ }
+ }
+
+ v1 = v2;
+ v1_side = v2_side;
+ ++v2;
+ }
+ return true;
+}
+
+
+
+void
+carve::triangulate::incorporateHolesIntoPolygon(
+ const std::vector<std::vector<carve::geom2d::P2> > &poly,
+ std::vector<std::pair<size_t, size_t> > &result,
+ size_t poly_loop,
+ const std::vector<size_t> &hole_loops) {
+ typedef std::vector<carve::geom2d::P2> loop_t;
+
+ size_t N = poly[poly_loop].size();
+
+ // work out how much space to reserve for the patched in holes.
+ for (size_t i = 0; i < hole_loops.size(); i++) {
+ N += 2 + poly[hole_loops[i]].size();
+ }
+
+ // this is the vector that we will build the result in.
+ result.clear();
+ result.reserve(N);
+
+ // this is a heap of result indices that defines the vertex test order.
+ std::vector<size_t> f_loop_heap;
+ f_loop_heap.reserve(N);
+
+ // add the poly loop to result.
+ for (size_t i = 0; i < poly[poly_loop].size(); ++i) {
+ result.push_back(std::make_pair((size_t)poly_loop, i));
+ }
+
+ if (hole_loops.size() == 0) {
+ return;
+ }
+
+ std::vector<std::pair<size_t, size_t> > h_loop_min_vertex;
+
+ h_loop_min_vertex.reserve(hole_loops.size());
+
+ // find the major axis for the holes - this is the axis that we
+ // will sort on for finding vertices on the polygon to join
+ // holes up to.
+ //
+ // it might also be nice to also look for whether it is better
+ // to sort ascending or descending.
+ //
+ // another trick that could be used is to modify the projection
+ // by 90 degree rotations or flipping about an axis. just as
+ // long as we keep the carve::geom3d::Vector pointers for the
+ // real data in sync, everything should be ok. then we wouldn't
+ // need to accomodate axes or sort order in the main loop.
+
+ // find the bounding box of all the holes.
+ carve::geom2d::P2 h_min, h_max;
+ h_min = h_max = poly[hole_loops[0]][0];
+ for (size_t i = 0; i < hole_loops.size(); ++i) {
+ const loop_t &hole = poly[hole_loops[i]];
+ for (size_t j = 0; j < hole.size(); ++j) {
+ assign_op(h_min, h_min, hole[j], carve::util::min_functor());
+ assign_op(h_max, h_max, hole[j], carve::util::max_functor());
+ }
+ }
+ // choose the axis for which the bbox is largest.
+ int axis = (h_max.x - h_min.x) > (h_max.y - h_min.y) ? 0 : 1;
+
+ // for each hole, find the minimum vertex in the chosen axis.
+ for (size_t i = 0; i < hole_loops.size(); ++i) {
+ const loop_t &hole = poly[hole_loops[i]];
+ size_t best, curr;
+ best = 0;
+ for (curr = 1; curr != hole.size(); ++curr) {
+ if (detail::axisOrdering(hole[curr], hole[best], axis)) {
+ best = curr;
+ }
+ }
+ h_loop_min_vertex.push_back(std::make_pair(hole_loops[i], best));
+ }
+
+ // sort the holes by the minimum vertex.
+ std::sort(h_loop_min_vertex.begin(), h_loop_min_vertex.end(), order_h_loops_2d(poly, axis));
+
+ // now, for each hole, find a vertex in the current polygon loop that it can be joined to.
+ for (unsigned i = 0; i < h_loop_min_vertex.size(); ++i) {
+ // the index of the vertex in the hole to connect.
+ size_t hole_i = h_loop_min_vertex[i].first;
+ size_t hole_i_connect = h_loop_min_vertex[i].second;
+
+ carve::geom2d::P2 hole_min = poly[hole_i][hole_i_connect];
+
+ f_loop_heap.clear();
+ // we order polygon loop vertices that may be able to be connected
+ // to the hole vertex by their distance to the hole vertex
+ heap_ordering_2d _heap_ordering(poly, result, hole_min, axis);
+
+ const size_t SZ = result.size();
+ for (size_t j = 0; j < SZ; ++j) {
+ // it is guaranteed that there exists a polygon vertex with
+ // coord < the min hole coord chosen, which can be joined to
+ // the min hole coord without crossing the polygon
+ // boundary. also, because we merge holes in ascending
+ // order, it is also true that this join can never cross
+ // another hole (and that doesn't need to be tested for).
+ if (pvert(poly, result[j]).v[axis] <= hole_min.v[axis]) {
+ f_loop_heap.push_back(j);
+ std::push_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
+ }
+ }
+
+ // we are going to test each potential (according to the
+ // previous test) polygon vertex as a candidate join. we order
+ // by closeness to the hole vertex, so that the join we make
+ // is as small as possible. to test, we need to check the
+ // joining line segment does not cross any other line segment
+ // in the current polygon loop (excluding those that have the
+ // vertex that we are attempting to join with as an endpoint).
+ size_t attachment_point = result.size();
+
+ while (f_loop_heap.size()) {
+ std::pop_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
+ size_t curr = f_loop_heap.back();
+ f_loop_heap.pop_back();
+ // test the candidate join from result[curr] to hole_min
+
+ if (!testCandidateAttachment(poly, result, curr, hole_min)) {
+ continue;
+ }
+
+ attachment_point = curr;
+ break;
+ }
+
+ if (attachment_point == result.size()) {
+ CARVE_FAIL("didn't manage to link up hole!");
+ }
+
+ patchHoleIntoPolygon_2d(result, attachment_point, hole_i, hole_i_connect, poly[hole_i].size());
+ }
+}
+
+
+
+std::vector<std::pair<size_t, size_t> >
+carve::triangulate::incorporateHolesIntoPolygon(const std::vector<std::vector<carve::geom2d::P2> > &poly) {
+#if 1
+ std::vector<std::pair<size_t, size_t> > result;
+ std::vector<size_t> hole_indices;
+ hole_indices.reserve(poly.size() - 1);
+ for (size_t i = 1; i < poly.size(); ++i) {
+ hole_indices.push_back(i);
+ }
+
+ incorporateHolesIntoPolygon(poly, result, 0, hole_indices);
+
+ return result;
+
+#else
+ typedef std::vector<carve::geom2d::P2> loop_t;
+ size_t N = poly[0].size();
+ //
+ // work out how much space to reserve for the patched in holes.
+ for (size_t i = 0; i < poly.size(); i++) {
+ N += 2 + poly[i].size();
+ }
+
+ // this is the vector that we will build the result in.
+ std::vector<std::pair<size_t, size_t> > current_f_loop;
+ current_f_loop.reserve(N);
+
+ // this is a heap of current_f_loop indices that defines the vertex test order.
+ std::vector<size_t> f_loop_heap;
+ f_loop_heap.reserve(N);
+
+ // add the poly loop to current_f_loop.
+ for (size_t i = 0; i < poly[0].size(); ++i) {
+ current_f_loop.push_back(std::make_pair((size_t)0, i));
+ }
+
+ if (poly.size() == 1) {
+ return current_f_loop;
+ }
+
+ std::vector<std::pair<size_t, size_t> > h_loop_min_vertex;
+
+ h_loop_min_vertex.reserve(poly.size() - 1);
+
+ // find the major axis for the holes - this is the axis that we
+ // will sort on for finding vertices on the polygon to join
+ // holes up to.
+ //
+ // it might also be nice to also look for whether it is better
+ // to sort ascending or descending.
+ //
+ // another trick that could be used is to modify the projection
+ // by 90 degree rotations or flipping about an axis. just as
+ // long as we keep the carve::geom3d::Vector pointers for the
+ // real data in sync, everything should be ok. then we wouldn't
+ // need to accomodate axes or sort order in the main loop.
+
+ // find the bounding box of all the holes.
+ double min_x, min_y, max_x, max_y;
+ min_x = max_x = poly[1][0].x;
+ min_y = max_y = poly[1][0].y;
+ for (size_t i = 1; i < poly.size(); ++i) {
+ const loop_t &hole = poly[i];
+ for (size_t j = 0; j < hole.size(); ++j) {
+ min_x = std::min(min_x, hole[j].x);
+ min_y = std::min(min_y, hole[j].y);
+ max_x = std::max(max_x, hole[j].x);
+ max_y = std::max(max_y, hole[j].y);
+ }
+ }
+
+ // choose the axis for which the bbox is largest.
+ int axis = (max_x - min_x) > (max_y - min_y) ? 0 : 1;
+
+ // for each hole, find the minimum vertex in the chosen axis.
+ for (size_t i = 1; i < poly.size(); ++i) {
+ const loop_t &hole = poly[i];
+ size_t best, curr;
+ best = 0;
+ for (curr = 1; curr != hole.size(); ++curr) {
+ if (detail::axisOrdering(hole[curr], hole[best], axis)) {
+ best = curr;
+ }
+ }
+ h_loop_min_vertex.push_back(std::make_pair(i, best));
+ }
+
+ // sort the holes by the minimum vertex.
+ std::sort(h_loop_min_vertex.begin(), h_loop_min_vertex.end(), order_h_loops_2d(poly, axis));
+
+ // now, for each hole, find a vertex in the current polygon loop that it can be joined to.
+ for (unsigned i = 0; i < h_loop_min_vertex.size(); ++i) {
+ // the index of the vertex in the hole to connect.
+ size_t hole_i = h_loop_min_vertex[i].first;
+ size_t hole_i_connect = h_loop_min_vertex[i].second;
+
+ carve::geom2d::P2 hole_min = poly[hole_i][hole_i_connect];
+
+ f_loop_heap.clear();
+ // we order polygon loop vertices that may be able to be connected
+ // to the hole vertex by their distance to the hole vertex
+ heap_ordering_2d _heap_ordering(poly, current_f_loop, hole_min, axis);
+
+ const size_t SZ = current_f_loop.size();
+ for (size_t j = 0; j < SZ; ++j) {
+ // it is guaranteed that there exists a polygon vertex with
+ // coord < the min hole coord chosen, which can be joined to
+ // the min hole coord without crossing the polygon
+ // boundary. also, because we merge holes in ascending
+ // order, it is also true that this join can never cross
+ // another hole (and that doesn't need to be tested for).
+ if (pvert(poly, current_f_loop[j]).v[axis] <= hole_min.v[axis]) {
+ f_loop_heap.push_back(j);
+ std::push_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
+ }
+ }
+
+ // we are going to test each potential (according to the
+ // previous test) polygon vertex as a candidate join. we order
+ // by closeness to the hole vertex, so that the join we make
+ // is as small as possible. to test, we need to check the
+ // joining line segment does not cross any other line segment
+ // in the current polygon loop (excluding those that have the
+ // vertex that we are attempting to join with as an endpoint).
+ size_t attachment_point = current_f_loop.size();
+
+ while (f_loop_heap.size()) {
+ std::pop_heap(f_loop_heap.begin(), f_loop_heap.end(), _heap_ordering);
+ size_t curr = f_loop_heap.back();
+ f_loop_heap.pop_back();
+ // test the candidate join from current_f_loop[curr] to hole_min
+
+ if (!testCandidateAttachment(poly, current_f_loop, curr, hole_min)) {
+ continue;
+ }
+
+ attachment_point = curr;
+ break;
+ }
+
+ if (attachment_point == current_f_loop.size()) {
+ CARVE_FAIL("didn't manage to link up hole!");
+ }
+
+ patchHoleIntoPolygon_2d(current_f_loop, attachment_point, hole_i, hole_i_connect, poly[hole_i].size());
+ }
+
+ return current_f_loop;
+#endif
+}
+
+
+
+std::vector<std::vector<std::pair<size_t, size_t> > >
+carve::triangulate::mergePolygonsAndHoles(const std::vector<std::vector<carve::geom2d::P2> > &poly) {
+ std::vector<size_t> poly_indices, hole_indices;
+
+ poly_indices.reserve(poly.size());
+ hole_indices.reserve(poly.size());
+
+ for (size_t i = 0; i < poly.size(); ++i) {
+ if (carve::geom2d::signedArea(poly[i]) < 0) {
+ poly_indices.push_back(i);
+ } else {
+ hole_indices.push_back(i);
+ }
+ }
+
+ std::vector<std::vector<std::pair<size_t, size_t> > > result;
+ result.resize(poly_indices.size());
+
+ if (hole_indices.size() == 0) {
+ for (size_t i = 0; i < poly.size(); ++i) {
+ result[i].resize(poly[i].size());
+ for (size_t j = 0; j < poly[i].size(); ++j) {
+ result[i].push_back(std::make_pair(i, j));
+ }
+ }
+ return result;
+ }
+
+ if (poly_indices.size() == 1) {
+ incorporateHolesIntoPolygon(poly, result[0], poly_indices[0], hole_indices);
+
+ return result;
+ }
+
+ throw carve::exception("not implemented");
+}
+
+
+
+void carve::triangulate::triangulate(const std::vector<carve::geom2d::P2> &poly,
+ std::vector<carve::triangulate::tri_idx> &result) {
+ std::vector<detail::vertex_info *> vinfo;
+ const size_t N = poly.size();
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "TRIANGULATION BEGINS" << std::endl;
+#endif
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ dumpPoly(poly, result);
+#endif
+
+ result.clear();
+ if (N < 3) {
+ return;
+ }
+
+ result.reserve(poly.size() - 2);
+
+ if (N == 3) {
+ result.push_back(tri_idx(0, 1, 2));
+ return;
+ }
+
+ vinfo.resize(N);
+
+ vinfo[0] = new detail::vertex_info(poly[0], 0);
+ for (size_t i = 1; i < N-1; ++i) {
+ vinfo[i] = new detail::vertex_info(poly[i], i);
+ vinfo[i]->prev = vinfo[i-1];
+ vinfo[i-1]->next = vinfo[i];
+ }
+ vinfo[N-1] = new detail::vertex_info(poly[N-1], N-1);
+ vinfo[N-1]->prev = vinfo[N-2];
+ vinfo[N-1]->next = vinfo[0];
+ vinfo[0]->prev = vinfo[N-1];
+ vinfo[N-2]->next = vinfo[N-1];
+
+ for (size_t i = 0; i < N; ++i) {
+ vinfo[i]->recompute();
+ }
+
+ detail::vertex_info *begin = vinfo[0];
+
+ removeDegeneracies(begin, result);
+ doTriangulate(begin, result);
+
+#if defined(CARVE_DEBUG)
+ std::cerr << "TRIANGULATION ENDS" << std::endl;
+#endif
+
+#if defined(CARVE_DEBUG_WRITE_PLY_DATA)
+ dumpPoly(poly, result);
+#endif
+}
+
+
+
+void carve::triangulate::detail::tri_pair_t::flip(vert_edge_t &old_edge,
+ vert_edge_t &new_edge,
+ vert_edge_t perim[4]) {
+ unsigned ai, bi;
+ unsigned cross_ai, cross_bi;
+
+ findSharedEdge(ai, bi);
+ old_edge = ordered_vert_edge_t(a->v[ai], b->v[bi]);
+
+ cross_ai = P(ai);
+ cross_bi = P(bi);
+ new_edge = ordered_vert_edge_t(a->v[cross_ai], b->v[cross_bi]);
+
+ score = -score;
+
+ a->v[N(ai)] = b->v[cross_bi];
+ b->v[N(bi)] = a->v[cross_ai];
+
+ perim[0] = ordered_vert_edge_t(a->v[P(ai)], a->v[ai]);
+ perim[1] = ordered_vert_edge_t(a->v[N(ai)], a->v[ai]); // this edge was a b-edge
+
+ perim[2] = ordered_vert_edge_t(b->v[P(bi)], b->v[bi]);
+ perim[3] = ordered_vert_edge_t(b->v[N(bi)], b->v[bi]); // this edge was an a-edge
+}
+
+
+
+void carve::triangulate::detail::tri_pairs_t::insert(unsigned a, unsigned b, carve::triangulate::tri_idx *t) {
+ tri_pair_t *tp;
+ if (a < b) {
+ tp = storage[vert_edge_t(a,b)];
+ if (!tp) {
+ tp = storage[vert_edge_t(a,b)] = new tri_pair_t;
+ }
+ tp->a = t;
+ } else {
+ tp = storage[vert_edge_t(b,a)];
+ if (!tp) {
+ tp = storage[vert_edge_t(b,a)] = new tri_pair_t;
+ }
+ tp->b = t;
+ }
+}
diff --git a/extern/carve/mkfiles.sh b/extern/carve/mkfiles.sh
new file mode 100755
index 00000000000..d117d7531bd
--- /dev/null
+++ b/extern/carve/mkfiles.sh
@@ -0,0 +1,4 @@
+#!/bin/sh
+
+find ./include/ -type f | sed -r 's/^\.\///' > files.txt
+find ./lib/ -type f | sed -r 's/^\.\///' >> files.txt
diff --git a/extern/carve/patches/files/config.h b/extern/carve/patches/files/config.h
new file mode 100644
index 00000000000..fdae2d2843f
--- /dev/null
+++ b/extern/carve/patches/files/config.h
@@ -0,0 +1,12 @@
+#define CARVE_VERSION "2.0.0a"
+
+#undef CARVE_DEBUG
+#undef CARVE_DEBUG_WRITE_PLY_DATA
+
+#if defined(__GNUC__)
+# if !defined(HAVE_BOOST_UNORDERED_COLLECTIONS)
+# define HAVE_TR1_UNORDERED_COLLECTIONS
+# endif
+
+# define HAVE_STDINT_H
+#endif
diff --git a/extern/carve/patches/files/random.hpp b/extern/carve/patches/files/random.hpp
new file mode 100644
index 00000000000..15866bb496e
--- /dev/null
+++ b/extern/carve/patches/files/random.hpp
@@ -0,0 +1,773 @@
+#pragma once
+
+#include <iostream>
+#include <vector>
+#include <limits>
+#include <stdexcept>
+#include <cmath>
+#include <algorithm>
+
+#if !defined(_MSC_VER)
+#include <stdint.h>
+#endif
+
+namespace boost {
+
+// type_traits could help here, but I don't want to depend on type_traits.
+template<class T>
+struct ptr_helper
+{
+ typedef T value_type;
+ typedef T& reference_type;
+ typedef const T& rvalue_type;
+ static reference_type ref(T& r) { return r; }
+ static const T& ref(const T& r) { return r; }
+};
+
+template<class T>
+struct ptr_helper<T&>
+{
+ typedef T value_type;
+ typedef T& reference_type;
+ typedef T& rvalue_type;
+ static reference_type ref(T& r) { return r; }
+ static const T& ref(const T& r) { return r; }
+};
+
+template<class T>
+struct ptr_helper<T*>
+{
+ typedef T value_type;
+ typedef T& reference_type;
+ typedef T* rvalue_type;
+ static reference_type ref(T * p) { return *p; }
+ static const T& ref(const T * p) { return *p; }
+};
+
+template<class UniformRandomNumberGenerator>
+class pass_through_engine
+{
+private:
+ typedef ptr_helper<UniformRandomNumberGenerator> helper_type;
+
+public:
+ typedef typename helper_type::value_type base_type;
+ typedef typename base_type::result_type result_type;
+
+ explicit pass_through_engine(UniformRandomNumberGenerator rng)
+ // make argument an rvalue to avoid matching Generator& constructor
+ : _rng(static_cast<typename helper_type::rvalue_type>(rng))
+ { }
+
+ result_type min () const { return (base().min)(); }
+ result_type max () const { return (base().max)(); }
+ base_type& base() { return helper_type::ref(_rng); }
+ const base_type& base() const { return helper_type::ref(_rng); }
+
+ result_type operator()() { return base()(); }
+
+private:
+ UniformRandomNumberGenerator _rng;
+};
+
+template<class RealType>
+class new_uniform_01
+{
+public:
+ typedef RealType input_type;
+ typedef RealType result_type;
+ // compiler-generated copy ctor and copy assignment are fine
+ result_type min () const { return result_type(0); }
+ result_type max () const { return result_type(1); }
+ void reset() { }
+
+ template<class Engine>
+ result_type operator()(Engine& eng) {
+ for (;;) {
+ typedef typename Engine::result_type base_result;
+ result_type factor = result_type(1) /
+ (result_type((eng.max)()-(eng.min)()) +
+ result_type(std::numeric_limits<base_result>::is_integer ? 1 : 0));
+ result_type result = result_type(eng() - (eng.min)()) * factor;
+ if (result < result_type(1))
+ return result;
+ }
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const new_uniform_01&)
+ {
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, new_uniform_01&)
+ {
+ return is;
+ }
+};
+
+template<class UniformRandomNumberGenerator, class RealType>
+class backward_compatible_uniform_01
+{
+ typedef ptr_helper<UniformRandomNumberGenerator> traits;
+ typedef pass_through_engine<UniformRandomNumberGenerator> internal_engine_type;
+public:
+ typedef UniformRandomNumberGenerator base_type;
+ typedef RealType result_type;
+
+ static const bool has_fixed_range = false;
+
+ explicit backward_compatible_uniform_01(typename traits::rvalue_type rng)
+ : _rng(rng),
+ _factor(result_type(1) /
+ (result_type((_rng.max)()-(_rng.min)()) +
+ result_type(std::numeric_limits<base_result>::is_integer ? 1 : 0)))
+ {
+ }
+ // compiler-generated copy ctor and copy assignment are fine
+
+ result_type min () const { return result_type(0); }
+ result_type max () const { return result_type(1); }
+ typename traits::value_type& base() { return _rng.base(); }
+ const typename traits::value_type& base() const { return _rng.base(); }
+ void reset() { }
+
+ result_type operator()() {
+ for (;;) {
+ result_type result = result_type(_rng() - (_rng.min)()) * _factor;
+ if (result < result_type(1))
+ return result;
+ }
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const backward_compatible_uniform_01& u)
+ {
+ os << u._rng;
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, backward_compatible_uniform_01& u)
+ {
+ is >> u._rng;
+ return is;
+ }
+
+private:
+ typedef typename internal_engine_type::result_type base_result;
+ internal_engine_type _rng;
+ result_type _factor;
+};
+
+// A definition is required even for integral static constants
+template<class UniformRandomNumberGenerator, class RealType>
+const bool backward_compatible_uniform_01<UniformRandomNumberGenerator, RealType>::has_fixed_range;
+
+template<class UniformRandomNumberGenerator>
+struct select_uniform_01
+{
+ template<class RealType>
+ struct apply
+ {
+ typedef backward_compatible_uniform_01<UniformRandomNumberGenerator, RealType> type;
+ };
+};
+
+template<>
+struct select_uniform_01<float>
+{
+ template<class RealType>
+ struct apply
+ {
+ typedef new_uniform_01<float> type;
+ };
+};
+
+template<>
+struct select_uniform_01<double>
+{
+ template<class RealType>
+ struct apply
+ {
+ typedef new_uniform_01<double> type;
+ };
+};
+
+template<>
+struct select_uniform_01<long double>
+{
+ template<class RealType>
+ struct apply
+ {
+ typedef new_uniform_01<long double> type;
+ };
+};
+
+// Because it is so commonly used: uniform distribution on the real [0..1)
+// range. This allows for specializations to avoid a costly int -> float
+// conversion plus float multiplication
+template<class UniformRandomNumberGenerator = double, class RealType = double>
+class uniform_01
+ : public select_uniform_01<UniformRandomNumberGenerator>::template apply<RealType>::type
+{
+ typedef typename select_uniform_01<UniformRandomNumberGenerator>::template apply<RealType>::type impl_type;
+ typedef ptr_helper<UniformRandomNumberGenerator> traits;
+public:
+
+ uniform_01() {}
+
+ explicit uniform_01(typename traits::rvalue_type rng)
+ : impl_type(rng)
+ {
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const uniform_01& u)
+ {
+ os << static_cast<const impl_type&>(u);
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, uniform_01& u)
+ {
+ is >> static_cast<impl_type&>(u);
+ return is;
+ }
+};
+
+template<class UniformRandomNumberGenerator, class IntType = unsigned long>
+class uniform_int_float
+{
+public:
+ typedef UniformRandomNumberGenerator base_type;
+ typedef IntType result_type;
+
+ uniform_int_float(base_type rng, IntType min_arg = 0, IntType max_arg = 0xffffffff)
+ : _rng(rng), _min(min_arg), _max(max_arg)
+ {
+ init();
+ }
+
+ result_type min () const { return _min; }
+ result_type max () const { return _max; }
+ base_type& base() { return _rng.base(); }
+ const base_type& base() const { return _rng.base(); }
+
+ result_type operator()()
+ {
+ return static_cast<IntType>(_rng() * _range) + _min;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const uniform_int_float& ud)
+ {
+ os << ud._min << " " << ud._max;
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, uniform_int_float& ud)
+ {
+ is >> std::ws >> ud._min >> std::ws >> ud._max;
+ ud.init();
+ return is;
+ }
+
+private:
+ void init()
+ {
+ _range = static_cast<base_result>(_max-_min)+1;
+ }
+
+ typedef typename base_type::result_type base_result;
+ uniform_01<base_type> _rng;
+ result_type _min, _max;
+ base_result _range;
+};
+
+
+template<class UniformRandomNumberGenerator, class CharT, class Traits>
+std::basic_ostream<CharT,Traits>&
+operator<<(
+ std::basic_ostream<CharT,Traits>& os
+ , const pass_through_engine<UniformRandomNumberGenerator>& ud
+ )
+{
+ return os << ud.base();
+}
+
+template<class UniformRandomNumberGenerator, class CharT, class Traits>
+std::basic_istream<CharT,Traits>&
+operator>>(
+ std::basic_istream<CharT,Traits>& is
+ , const pass_through_engine<UniformRandomNumberGenerator>& ud
+ )
+{
+ return is >> ud.base();
+}
+
+
+
+template<class RealType = double>
+class normal_distribution
+{
+public:
+ typedef RealType input_type;
+ typedef RealType result_type;
+
+ explicit normal_distribution(const result_type& mean_arg = result_type(0),
+ const result_type& sigma_arg = result_type(1))
+ : _mean(mean_arg), _sigma(sigma_arg), _valid(false)
+ {
+ //assert(_sigma >= result_type(0));
+ }
+
+ // compiler-generated copy constructor is NOT fine, need to purge cache
+ normal_distribution(const normal_distribution& other)
+ : _mean(other._mean), _sigma(other._sigma), _valid(false)
+ {
+ }
+
+ // compiler-generated copy ctor and assignment operator are fine
+
+ RealType mean() const { return _mean; }
+ RealType sigma() const { return _sigma; }
+
+ void reset() { _valid = false; }
+
+ template<class Engine>
+ result_type operator()(Engine& eng)
+ {
+#ifndef BOOST_NO_STDC_NAMESPACE
+ // allow for Koenig lookup
+ using std::sqrt; using std::log; using std::sin; using std::cos;
+#endif
+ if(!_valid) {
+ _r1 = eng();
+ _r2 = eng();
+ _cached_rho = sqrt(-result_type(2) * log(result_type(1)-_r2));
+ _valid = true;
+ } else {
+ _valid = false;
+ }
+ // Can we have a boost::mathconst please?
+ const result_type pi = result_type(3.14159265358979323846);
+
+ return _cached_rho * (_valid ?
+ cos(result_type(2)*pi*_r1) :
+ sin(result_type(2)*pi*_r1))
+ * _sigma + _mean;
+ }
+
+#ifndef BOOST_RANDOM_NO_STREAM_OPERATORS
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const normal_distribution& nd)
+ {
+ os << nd._mean << " " << nd._sigma << " "
+ << nd._valid << " " << nd._cached_rho << " " << nd._r1;
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, normal_distribution& nd)
+ {
+ is >> std::ws >> nd._mean >> std::ws >> nd._sigma
+ >> std::ws >> nd._valid >> std::ws >> nd._cached_rho
+ >> std::ws >> nd._r1;
+ return is;
+ }
+#endif
+private:
+ result_type _mean, _sigma;
+ result_type _r1, _r2, _cached_rho;
+ bool _valid;
+};
+
+// http://www.math.keio.ac.jp/matumoto/emt.html
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+class mersenne_twister
+{
+public:
+ typedef UIntType result_type;
+ static const int word_size = w;
+ static const int state_size = n;
+ static const int shift_size = m;
+ static const int mask_bits = r;
+ static const UIntType parameter_a = a;
+ static const int output_u = u;
+ static const int output_s = s;
+ static const UIntType output_b = b;
+ static const int output_t = t;
+ static const UIntType output_c = c;
+ static const int output_l = l;
+
+ static const bool has_fixed_range = false;
+
+ mersenne_twister() { seed(); }
+
+ explicit mersenne_twister(const UIntType& value)
+ { seed(value); }
+ template<class It> mersenne_twister(It& first, It last) { seed(first,last); }
+
+ template<class Generator> \
+ explicit mersenne_twister(Generator& gen)
+ { seed(gen); }
+
+ // compiler-generated copy ctor and assignment operator are fine
+
+ void seed() { seed(UIntType(5489)); }
+
+ void seed(const UIntType& value)
+ {
+ // New seeding algorithm from
+ // http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html
+ // In the previous versions, MSBs of the seed affected only MSBs of the
+ // state x[].
+ const UIntType mask = ~0u;
+ x[0] = value & mask;
+ for (i = 1; i < n; i++) {
+ // See Knuth "The Art of Computer Programming" Vol. 2, 3rd ed., page 106
+ x[i] = (1812433253UL * (x[i-1] ^ (x[i-1] >> (w-2))) + i) & mask;
+ }
+ }
+
+ // For GCC, moving this function out-of-line prevents inlining, which may
+ // reduce overall object code size. However, MSVC does not grok
+ // out-of-line definitions of member function templates.
+ template<class Generator> \
+ void seed(Generator& gen)
+ {
+/*#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
+ BOOST_STATIC_ASSERT(!std::numeric_limits<result_type>::is_signed);
+#endif*/
+ // I could have used std::generate_n, but it takes "gen" by value
+ for(int j = 0; j < n; j++)
+ x[j] = gen();
+ i = n;
+ }
+
+ template<class It>
+ void seed(It& first, It last)
+ {
+ int j;
+ for(j = 0; j < n && first != last; ++j, ++first)
+ x[j] = *first;
+ i = n;
+ if(first == last && j < n)
+ throw std::invalid_argument("mersenne_twister::seed");
+ }
+
+ result_type min () const { return 0; }
+ result_type max () const
+ {
+ // avoid "left shift count >= with of type" warning
+ result_type res = 0;
+ for(int j = 0; j < w; ++j)
+ res |= (1u << j);
+ return res;
+ }
+
+ result_type operator()();
+ static bool validation(result_type v) { return val == v; }
+
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const mersenne_twister& mt)
+ {
+ for(int j = 0; j < mt.state_size; ++j)
+ os << mt.compute(j) << " ";
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, mersenne_twister& mt)
+ {
+ for(int j = 0; j < mt.state_size; ++j)
+ is >> mt.x[j] >> std::ws;
+ // MSVC (up to 7.1) and Borland (up to 5.64) don't handle the template
+ // value parameter "n" available from the class template scope, so use
+ // the static constant with the same value
+ mt.i = mt.state_size;
+ return is;
+ }
+
+ friend bool operator==(const mersenne_twister& x, const mersenne_twister& y)
+ {
+ for(int j = 0; j < state_size; ++j)
+ if(x.compute(j) != y.compute(j))
+ return false;
+ return true;
+ }
+
+ friend bool operator!=(const mersenne_twister& x, const mersenne_twister& y)
+ { return !(x == y); }
+
+private:
+ // returns x(i-n+index), where index is in 0..n-1
+ UIntType compute(unsigned int index) const
+ {
+ // equivalent to (i-n+index) % 2n, but doesn't produce negative numbers
+ return x[ (i + n + index) % (2*n) ];
+ }
+ void twist(int block);
+
+ // state representation: next output is o(x(i))
+ // x[0] ... x[k] x[k+1] ... x[n-1] x[n] ... x[2*n-1] represents
+ // x(i-k) ... x(i) x(i+1) ... x(i-k+n-1) x(i-k-n) ... x[i(i-k-1)]
+ // The goal is to always have x(i-n) ... x(i-1) available for
+ // operator== and save/restore.
+
+ UIntType x[2*n];
+ int i;
+};
+
+// A definition is required even for integral static constants
+
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const bool mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::has_fixed_range;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::state_size;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::shift_size;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::mask_bits;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const UIntType mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::parameter_a;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::output_u;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::output_s;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const UIntType mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::output_b;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::output_t;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const UIntType mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::output_c;
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+const int mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::output_l;
+
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+void mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::twist(int block)
+{
+ const UIntType upper_mask = (~0u) << r;
+ const UIntType lower_mask = ~upper_mask;
+
+ if(block == 0) {
+ for(int j = n; j < 2*n; j++) {
+ UIntType y = (x[j-n] & upper_mask) | (x[j-(n-1)] & lower_mask);
+ x[j] = x[j-(n-m)] ^ (y >> 1) ^ (y&1 ? a : 0);
+ }
+ } else if (block == 1) {
+ // split loop to avoid costly modulo operations
+ { // extra scope for MSVC brokenness w.r.t. for scope
+ for(int j = 0; j < n-m; j++) {
+ UIntType y = (x[j+n] & upper_mask) | (x[j+n+1] & lower_mask);
+ x[j] = x[j+n+m] ^ (y >> 1) ^ (y&1 ? a : 0);
+ }
+ }
+
+ for(int j = n-m; j < n-1; j++) {
+ UIntType y = (x[j+n] & upper_mask) | (x[j+n+1] & lower_mask);
+ x[j] = x[j-(n-m)] ^ (y >> 1) ^ (y&1 ? a : 0);
+ }
+ // last iteration
+ UIntType y = (x[2*n-1] & upper_mask) | (x[0] & lower_mask);
+ x[n-1] = x[m-1] ^ (y >> 1) ^ (y&1 ? a : 0);
+ i = 0;
+ }
+}
+
+template<class UIntType, int w, int n, int m, int r, UIntType a, int u,
+ int s, UIntType b, int t, UIntType c, int l, UIntType val>
+inline typename mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::result_type
+mersenne_twister<UIntType,w,n,m,r,a,u,s,b,t,c,l,val>::operator()()
+{
+ if(i == n)
+ twist(0);
+ else if(i >= 2*n)
+ twist(1);
+ // Step 4
+ UIntType z = x[i];
+ ++i;
+ z ^= (z >> u);
+ z ^= ((z << s) & b);
+ z ^= ((z << t) & c);
+ z ^= (z >> l);
+ return z;
+}
+
+typedef mersenne_twister<uint32_t,32,351,175,19,0xccab8ee7,11,
+ 7,0x31b6ab00,15,0xffe50000,17, 0xa37d3c92> mt11213b;
+
+// validation by experiment from mt19937.c
+typedef mersenne_twister<uint32_t,32,624,397,31,0x9908b0df,11,
+ 7,0x9d2c5680,15,0xefc60000,18, 3346425566U> mt19937;
+
+
+template<class RealType = double, class Cont = std::vector<RealType> >
+class uniform_on_sphere
+{
+public:
+ typedef RealType input_type;
+ typedef Cont result_type;
+
+ explicit uniform_on_sphere(int dim = 2) : _container(dim), _dim(dim) { }
+
+ // compiler-generated copy ctor and assignment operator are fine
+
+ void reset() { _normal.reset(); }
+
+ template<class Engine>
+ const result_type & operator()(Engine& eng)
+ {
+ RealType sqsum = 0;
+ for(typename Cont::iterator it = _container.begin();
+ it != _container.end();
+ ++it) {
+ RealType val = _normal(eng);
+ *it = val;
+ sqsum += val * val;
+ }
+ using std::sqrt;
+ // for all i: result[i] /= sqrt(sqsum)
+ std::transform(_container.begin(), _container.end(), _container.begin(),
+ std::bind2nd(std::divides<RealType>(), sqrt(sqsum)));
+ return _container;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_ostream<CharT,Traits>&
+ operator<<(std::basic_ostream<CharT,Traits>& os, const uniform_on_sphere& sd)
+ {
+ os << sd._dim;
+ return os;
+ }
+
+ template<class CharT, class Traits>
+ friend std::basic_istream<CharT,Traits>&
+ operator>>(std::basic_istream<CharT,Traits>& is, uniform_on_sphere& sd)
+ {
+ is >> std::ws >> sd._dim;
+ sd._container.resize(sd._dim);
+ return is;
+ }
+
+private:
+ normal_distribution<RealType> _normal;
+ result_type _container;
+ int _dim;
+};
+
+
+
+template<bool have_int, bool want_int>
+struct engine_helper;
+
+
+template<>
+struct engine_helper<true, true>
+{
+ template<class Engine, class DistInputType>
+ struct impl
+ {
+ typedef pass_through_engine<Engine> type;
+ };
+};
+
+template<>
+struct engine_helper<false, false>
+{
+ template<class Engine, class DistInputType>
+ struct impl
+ {
+ typedef uniform_01<Engine, DistInputType> type;
+ };
+};
+
+template<>
+struct engine_helper<true, false>
+{
+ template<class Engine, class DistInputType>
+ struct impl
+ {
+ typedef uniform_01<Engine, DistInputType> type;
+ };
+};
+
+template<>
+struct engine_helper<false, true>
+{
+ template<class Engine, class DistInputType>
+ struct impl
+ {
+ typedef uniform_int_float<Engine, unsigned long> type;
+ };
+};
+
+template<class Engine, class Distribution>
+class variate_generator
+{
+private:
+ typedef pass_through_engine<Engine> decorated_engine;
+
+public:
+ typedef typename decorated_engine::base_type engine_value_type;
+ typedef Engine engine_type;
+ typedef Distribution distribution_type;
+ typedef typename Distribution::result_type result_type;
+
+ variate_generator(Engine e, Distribution d)
+ : _eng(decorated_engine(e)), _dist(d) { }
+
+ result_type operator()() { return _dist(_eng); }
+ template<class T>
+ result_type operator()(T value) { return _dist(_eng, value); }
+
+ engine_value_type& engine() { return _eng.base().base(); }
+ const engine_value_type& engine() const { return _eng.base().base(); }
+
+ distribution_type& distribution() { return _dist; }
+ const distribution_type& distribution() const { return _dist; }
+
+ result_type min () const { return (distribution().min)(); }
+ result_type max () const { return (distribution().max)(); }
+
+private:
+ enum {
+ have_int = std::numeric_limits<typename decorated_engine::result_type>::is_integer,
+ want_int = std::numeric_limits<typename Distribution::input_type>::is_integer
+ };
+ typedef typename engine_helper<have_int, want_int>::template impl<decorated_engine, typename Distribution::input_type>::type internal_engine_type;
+
+ internal_engine_type _eng;
+ distribution_type _dist;
+};
+
+} // namespace boost
diff --git a/extern/carve/patches/includes.patch b/extern/carve/patches/includes.patch
new file mode 100644
index 00000000000..bdf97c846e7
--- /dev/null
+++ b/extern/carve/patches/includes.patch
@@ -0,0 +1,84 @@
+diff -r c8cbec41cd35 include/carve/exact.hpp
+--- a/include/carve/exact.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/exact.hpp Wed Jan 11 18:48:16 2012 +0600
+@@ -21,7 +21,7 @@
+
+ #include <vector>
+ #include <numeric>
+-
++#include <algorithm>
+
+
+ namespace carve {
+diff -r c8cbec41cd35 include/carve/geom2d.hpp
+--- a/include/carve/geom2d.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/geom2d.hpp Wed Jan 11 18:48:16 2012 +0600
+@@ -25,6 +25,7 @@
+ #include <carve/geom.hpp>
+
+ #include <vector>
++#include <algorithm>
+
+ #include <math.h>
+
+diff -r c8cbec41cd35 include/carve/mesh_impl.hpp
+--- a/include/carve/mesh_impl.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/mesh_impl.hpp Wed Jan 11 18:48:16 2012 +0600
+@@ -24,6 +24,8 @@
+ #include <iostream>
+ #include <deque>
+
++#include <stddef.h>
++
+ namespace carve {
+ namespace mesh {
+
+diff -r c8cbec41cd35 include/carve/polyhedron_base.hpp
+--- a/include/carve/polyhedron_base.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/polyhedron_base.hpp Wed Jan 11 18:48:16 2012 +0600
+@@ -25,6 +25,8 @@
+ #include <carve/edge_decl.hpp>
+ #include <carve/face_decl.hpp>
+
++#include <stddef.h>
++
+ namespace carve {
+ namespace poly {
+
+diff -r c8cbec41cd35 include/carve/rtree.hpp
+--- a/include/carve/rtree.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/rtree.hpp Wed Jan 11 18:48:16 2012 +0600
+@@ -27,6 +27,10 @@
+ #include <cmath>
+ #include <limits>
+
++#if defined(HAVE_STDINT_H)
++# include <stdint.h>
++#endif
++
+ namespace carve {
+ namespace geom {
+
+diff -r c8cbec41cd35 include/carve/vector.hpp
+--- a/include/carve/vector.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/vector.hpp Wed Jan 11 18:48:16 2012 +0600
+@@ -24,6 +24,7 @@
+ #include <carve/geom3d.hpp>
+
+ #include <sstream>
++#include <algorithm>
+
+ #include <math.h>
+
+diff -r c8cbec41cd35 src/extrude.cpp
+--- a/src/extrude.cpp Thu Dec 01 15:51:44 2011 -0500
++++ b/src/extrude.cpp Wed Jan 11 18:48:16 2012 +0600
+@@ -34,6 +34,8 @@
+ #include <cctype>
+ #include <stdexcept>
+
++#include <stdexcept>
++
+ template<unsigned ndim>
+ carve::geom::vector<ndim> lerp(
+ double t,
diff --git a/extern/carve/patches/mesh_iterator.patch b/extern/carve/patches/mesh_iterator.patch
new file mode 100644
index 00000000000..1b9e12866bf
--- /dev/null
+++ b/extern/carve/patches/mesh_iterator.patch
@@ -0,0 +1,21 @@
+diff -r c8cbec41cd35 include/carve/mesh.hpp
+--- a/include/carve/mesh.hpp Thu Dec 01 15:51:44 2011 -0500
++++ b/include/carve/mesh.hpp Thu Jan 12 00:19:58 2012 +0600
+@@ -719,13 +719,13 @@
+ void rev(size_t n);
+ void adv(int n);
+
+- FaceIter operator++(int) { FaceIter tmp = *this; fwd(1); return tmp; }
+- FaceIter operator+(int v) { FaceIter tmp = *this; adv(v); return tmp; }
++ FaceIter operator++(int) { FaceIter tmp = *this; tmp.fwd(1); return tmp; }
++ FaceIter operator+(int v) { FaceIter tmp = *this; tmp.adv(v); return tmp; }
+ FaceIter &operator++() { fwd(1); return *this; }
+ FaceIter &operator+=(int v) { adv(v); return *this; }
+
+- FaceIter operator--(int) { FaceIter tmp = *this; rev(1); return tmp; }
+- FaceIter operator-(int v) { FaceIter tmp = *this; adv(-v); return tmp; }
++ FaceIter operator--(int) { FaceIter tmp = *this; tmp.rev(1); return tmp; }
++ FaceIter operator-(int v) { FaceIter tmp = *this; tmp.adv(-v); return tmp; }
+ FaceIter &operator--() { rev(1); return *this; }
+ FaceIter &operator-=(int v) { adv(-v); return *this; }
+
diff --git a/extern/carve/patches/series b/extern/carve/patches/series
new file mode 100644
index 00000000000..6e2a36a0576
--- /dev/null
+++ b/extern/carve/patches/series
@@ -0,0 +1,4 @@
+strict_flags.patch
+includes.patch
+win32.patch
+mesh_iterator.patch
diff --git a/extern/carve/patches/strict_flags.patch b/extern/carve/patches/strict_flags.patch
new file mode 100644
index 00000000000..5e4b867ba26
--- /dev/null
+++ b/extern/carve/patches/strict_flags.patch
@@ -0,0 +1,46 @@
+diff -r 47dfdaff1dd5 include/carve/csg_triangulator.hpp
+--- a/include/carve/csg_triangulator.hpp Thu Jan 12 15:49:04 2012 -0500
++++ b/include/carve/csg_triangulator.hpp Fri Jan 13 03:13:32 2012 +0600
+@@ -174,6 +174,7 @@
+
+ double scoreQuad(edge_map_t::iterator i, edge_map_t &edge_map) {
+ if (!(*i).second.first || !(*i).second.second) return -1;
++ return 0;
+ }
+
+ carve::mesh::MeshSet<3>::face_t *mergeQuad(edge_map_t::iterator i, edge_map_t &edge_map) {
+diff -r 47dfdaff1dd5 include/carve/exact.hpp
+--- a/include/carve/exact.hpp Thu Jan 12 15:49:04 2012 -0500
++++ b/include/carve/exact.hpp Fri Jan 13 03:13:32 2012 +0600
+@@ -379,7 +379,7 @@
+ prod_2_1(b, a, r);
+ }
+
+- static inline double prod_4_1(const double *a, const double *b, double *r) {
++ static inline void prod_4_1(const double *a, const double *b, double *r) {
+ double b_sp[2]; split(b[0], b_sp);
+ double t1[2]; prod_1_1s(a+0, b, b_sp, t1);
+ r[0] = t1[0];
+@@ -639,8 +639,9 @@
+ }
+
+
+- exact_t operator+(const exact_t &a, const exact_t &b) {
+- }
++ // XXX: not implemented yet
++ //exact_t operator+(const exact_t &a, const exact_t &b) {
++ //}
+
+
+
+diff -r 47dfdaff1dd5 src/selfintersect.cpp
+--- a/src/selfintersect.cpp Thu Jan 12 15:49:04 2012 -0500
++++ b/src/selfintersect.cpp Fri Jan 13 03:13:32 2012 +0600
+@@ -465,6 +465,7 @@
+
+ // returns true if no intersection, based upon edge^a_i and edge^b_j separating axis.
+ bool sat_edge(const vec3 tri_a[3], const vec3 tri_b[3], unsigned i, unsigned j) {
++ return false;
+ }
+
+
diff --git a/extern/carve/patches/win32.patch b/extern/carve/patches/win32.patch
new file mode 100644
index 00000000000..e0834ef1ce1
--- /dev/null
+++ b/extern/carve/patches/win32.patch
@@ -0,0 +1,29 @@
+diff -r 47dfdaff1dd5 include/carve/win32.h
+--- a/include/carve/win32.h Thu Jan 12 15:49:04 2012 -0500
++++ b/include/carve/win32.h Fri Jan 13 03:15:51 2012 +0600
+@@ -32,14 +32,19 @@
+
+ # if _MSC_VER < 1600
+ // stdint.h is not available before VS2010
+-typedef char int8_t;
+-typedef short int16_t;
+-typedef long int32_t;
++#if defined(_WIN32) && !defined(__MINGW32__)
++/* The __intXX are built-in types of the visual complier! So we don't
++ need to include anything else here.
++ This typedefs should be in sync with types from MEM_sys_types.h */
+
+-typedef unsigned char uint8_t;
+-typedef unsigned short uint16_t;
+-typedef unsigned long uint32_t;
++typedef signed __int8 int8_t;
++typedef signed __int16 int16_t;
++typedef signed __int32 int32_t;
+
++typedef unsigned __int8 uint8_t;
++typedef unsigned __int16 uint16_t;
++typedef unsigned __int32 uint32_t;
++#endif
+ typedef __int64 int64_t;
+ typedef unsigned __int64 uint64_t;
+ # else