Build log for qhull (2020.2-3) on armhf

qhull → 2020.2-3 → armhf → 2020-12-04 05:28:42

sbuild (Debian sbuild) 0.72.0 (25 Oct 2016) on mb-lxc-01

+==============================================================================+
| qhull 2020.2-3 (armhf)                       Fri, 04 Dec 2020 05:15:18 +0000 |
+==============================================================================+

Package: qhull
Version: 2020.2-3
Source Version: 2020.2-3
Distribution: bullseye-staging
Machine Architecture: armhf
Host Architecture: armhf
Build Architecture: armhf

I: NOTICE: Log filtering will replace 'var/lib/schroot/mount/bullseye-staging-armhf-sbuild-257a531e-c2ef-4632-977b-156ed4940fce' with '<<CHROOT>>'

+------------------------------------------------------------------------------+
| Update chroot                                                                |
+------------------------------------------------------------------------------+

Get:1 http://172.17.0.1/private bullseye-staging InRelease [11.3 kB]
Get:2 http://172.17.0.1/private bullseye-staging/main Sources [11.9 MB]
Get:3 http://172.17.0.1/private bullseye-staging/main armhf Packages [12.9 MB]
Fetched 24.9 MB in 10s (2586 kB/s)
Reading package lists...
W: No sandbox user '_apt' on the system, can not drop privileges

+------------------------------------------------------------------------------+
| Fetch source files                                                           |
+------------------------------------------------------------------------------+


Check APT
---------

Checking available source versions...

Download source files with APT
------------------------------

Reading package lists...
NOTICE: 'qhull' packaging is maintained in the 'Git' version control system at:
https://salsa.debian.org/science-team/qhull.git
Please use:
git clone https://salsa.debian.org/science-team/qhull.git
to retrieve the latest (possibly unreleased) updates to the package.
Need to get 1320 kB of source archives.
Get:1 http://172.17.0.1/private bullseye-staging/main qhull 2020.2-3 (dsc) [2171 B]
Get:2 http://172.17.0.1/private bullseye-staging/main qhull 2020.2-3 (tar) [1299 kB]
Get:3 http://172.17.0.1/private bullseye-staging/main qhull 2020.2-3 (diff) [18.5 kB]
Fetched 1320 kB in 0s (3250 kB/s)
Download complete and in download only mode
I: NOTICE: Log filtering will replace 'build/qhull-w7QarV/qhull-2020.2' with '<<PKGBUILDDIR>>'
I: NOTICE: Log filtering will replace 'build/qhull-w7QarV' with '<<BUILDDIR>>'

+------------------------------------------------------------------------------+
| Install build-essential                                                      |
+------------------------------------------------------------------------------+


Setup apt archive
-----------------

Merged Build-Depends: build-essential, fakeroot
Filtered Build-Depends: build-essential, fakeroot
dpkg-deb: building package 'sbuild-build-depends-core-dummy' in '/<<BUILDDIR>>/resolver-UGlcoX/apt_archive/sbuild-build-depends-core-dummy.deb'.
dpkg-scanpackages: warning: Packages in archive but missing from override file:
dpkg-scanpackages: warning:   sbuild-build-depends-core-dummy
dpkg-scanpackages: info: Wrote 1 entries to output Packages file.
gpg: keybox '/<<BUILDDIR>>/resolver-UGlcoX/gpg/pubring.kbx' created
gpg: /<<BUILDDIR>>/resolver-UGlcoX/gpg/trustdb.gpg: trustdb created
gpg: key 37145E60F90AF620: public key "Sbuild Signer (Sbuild Build Dependency Archive Key) <buildd-tools-devel@lists.alioth.debian.org>" imported
gpg: Total number processed: 1
gpg:               imported: 1
gpg: key 37145E60F90AF620: "Sbuild Signer (Sbuild Build Dependency Archive Key) <buildd-tools-devel@lists.alioth.debian.org>" not changed
gpg: key 37145E60F90AF620: secret key imported
gpg: Total number processed: 1
gpg:              unchanged: 1
gpg:       secret keys read: 1
gpg:   secret keys imported: 1
gpg: using "Sbuild Signer" as default secret key for signing
Ign:1 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Release [957 B]
Get:3 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Release.gpg [370 B]
Get:4 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Sources [349 B]
Get:5 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Packages [431 B]
Fetched 2107 B in 0s (9391 B/s)
Reading package lists...
W: No sandbox user '_apt' on the system, can not drop privileges
Reading package lists...

Install core build dependencies (apt-based resolver)
----------------------------------------------------

Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
The following packages were automatically installed and are no longer required:
  bsdextrautils libpam-cap netbase sensible-utils
Use 'apt autoremove' to remove them.
The following NEW packages will be installed:
  sbuild-build-depends-core-dummy
0 upgraded, 1 newly installed, 0 to remove and 49 not upgraded.
Need to get 852 B of archives.
After this operation, 0 B of additional disk space will be used.
Get:1 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ sbuild-build-depends-core-dummy 0.invalid.0 [852 B]
debconf: delaying package configuration, since apt-utils is not installed
Fetched 852 B in 0s (64.9 kB/s)
Selecting previously unselected package sbuild-build-depends-core-dummy.
(Reading database ... 12594 files and directories currently installed.)
Preparing to unpack .../sbuild-build-depends-core-dummy_0.invalid.0_armhf.deb ...
Unpacking sbuild-build-depends-core-dummy (0.invalid.0) ...
Setting up sbuild-build-depends-core-dummy (0.invalid.0) ...
W: No sandbox user '_apt' on the system, can not drop privileges

+------------------------------------------------------------------------------+
| Check architectures                                                          |
+------------------------------------------------------------------------------+

Arch check ok (armhf included in any all)

+------------------------------------------------------------------------------+
| Install package build dependencies                                           |
+------------------------------------------------------------------------------+


Setup apt archive
-----------------

Merged Build-Depends: debhelper-compat (= 13), cmake, pkg-kde-tools
Filtered Build-Depends: debhelper-compat (= 13), cmake, pkg-kde-tools
dpkg-deb: building package 'sbuild-build-depends-qhull-dummy' in '/<<BUILDDIR>>/resolver-UGlcoX/apt_archive/sbuild-build-depends-qhull-dummy.deb'.
dpkg-scanpackages: warning: Packages in archive but missing from override file:
dpkg-scanpackages: warning:   sbuild-build-depends-core-dummy sbuild-build-depends-qhull-dummy
dpkg-scanpackages: info: Wrote 2 entries to output Packages file.
gpg: using "Sbuild Signer" as default secret key for signing
Ign:1 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Release [963 B]
Get:3 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Release.gpg [370 B]
Get:4 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Sources [504 B]
Get:5 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ Packages [584 B]
Fetched 2421 B in 0s (10.8 kB/s)
Reading package lists...
W: No sandbox user '_apt' on the system, can not drop privileges
Reading package lists...

Install qhull build dependencies (apt-based resolver)
-----------------------------------------------------

Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
The following packages were automatically installed and are no longer required:
  libpam-cap netbase
Use 'apt autoremove' to remove them.
The following additional packages will be installed:
  autoconf automake autopoint autotools-dev cmake cmake-data debhelper
  dh-autoreconf dh-strip-nondeterminism dwz file gettext gettext-base
  groff-base intltool-debian libarchive-zip-perl libarchive13 libbrotli1
  libcroco3 libcurl4 libdebhelper-perl libelf1 libexpat1
  libfile-stripnondeterminism-perl libglib2.0-0 libgssapi-krb5-2 libicu67
  libjsoncpp1 libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0 libmagic-mgc
  libmagic1 libncurses6 libnghttp2-14 libpipeline1 libprocps8 libpsl5
  libpython3-stdlib libpython3.8-minimal libpython3.8-stdlib librhash0
  librtmp1 libsigsegv2 libssh2-1 libssl1.1 libsub-override-perl libtool
  libuchardet0 libuv1 libxml2 m4 mailcap man-db media-types mime-support
  pkg-kde-tools po-debconf procps python3 python3-minimal python3.8
  python3.8-minimal
Suggested packages:
  autoconf-archive gnu-standards autoconf-doc cmake-doc ninja-build dh-make
  gettext-doc libasprintf-dev libgettextpo-dev groff lrzip krb5-doc krb5-user
  libtool-doc gfortran | fortran95-compiler gcj-jdk m4-doc apparmor less
  www-browser cdbs libmail-box-perl python3-doc python3-tk python3-venv
  python3.8-venv python3.8-doc binfmt-support
Recommended packages:
  curl | wget | lynx ca-certificates libarchive-cpio-perl libglib2.0-data
  shared-mime-info xdg-user-dirs krb5-locales libgpm2 publicsuffix libltdl-dev
  libwww-perl libmail-sendmail-perl psmisc
The following NEW packages will be installed:
  autoconf automake autopoint autotools-dev cmake cmake-data debhelper
  dh-autoreconf dh-strip-nondeterminism dwz file gettext gettext-base
  groff-base intltool-debian libarchive-zip-perl libarchive13 libbrotli1
  libcroco3 libcurl4 libdebhelper-perl libelf1 libexpat1
  libfile-stripnondeterminism-perl libglib2.0-0 libgssapi-krb5-2 libicu67
  libjsoncpp1 libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0 libmagic-mgc
  libmagic1 libncurses6 libnghttp2-14 libpipeline1 libprocps8 libpsl5
  libpython3-stdlib libpython3.8-minimal libpython3.8-stdlib librhash0
  librtmp1 libsigsegv2 libssh2-1 libssl1.1 libsub-override-perl libtool
  libuchardet0 libuv1 libxml2 m4 mailcap man-db media-types mime-support
  pkg-kde-tools po-debconf procps python3 python3-minimal python3.8
  python3.8-minimal sbuild-build-depends-qhull-dummy
0 upgraded, 65 newly installed, 0 to remove and 49 not upgraded.
Need to get 31.8 MB of archives.
After this operation, 124 MB of additional disk space will be used.
Get:1 copy:/<<BUILDDIR>>/resolver-UGlcoX/apt_archive ./ sbuild-build-depends-qhull-dummy 0.invalid.0 [872 B]
Get:2 http://172.17.0.1/private bullseye-staging/main armhf libuchardet0 armhf 0.0.7-1 [65.0 kB]
Get:3 http://172.17.0.1/private bullseye-staging/main armhf groff-base armhf 1.22.4-5 [783 kB]
Get:4 http://172.17.0.1/private bullseye-staging/main armhf libpipeline1 armhf 1.5.3-1 [29.9 kB]
Get:5 http://172.17.0.1/private bullseye-staging/main armhf man-db armhf 2.9.3-2 [1269 kB]
Get:6 http://172.17.0.1/private bullseye-staging/main armhf libssl1.1 armhf 1.1.1h-1 [1271 kB]
Get:7 http://172.17.0.1/private bullseye-staging/main armhf libpython3.8-minimal armhf 3.8.6-1 [752 kB]
Get:8 http://172.17.0.1/private bullseye-staging/main armhf libexpat1 armhf 2.2.10-1 [73.3 kB]
Get:9 http://172.17.0.1/private bullseye-staging/main armhf python3.8-minimal armhf 3.8.6-1 [1552 kB]
Get:10 http://172.17.0.1/private bullseye-staging/main armhf python3-minimal armhf 3.8.6-1 [37.7 kB]
Get:11 http://172.17.0.1/private bullseye-staging/main armhf media-types all 1.0.1 [18.2 kB]
Get:12 http://172.17.0.1/private bullseye-staging/main armhf mailcap all 3.67 [31.3 kB]
Get:13 http://172.17.0.1/private bullseye-staging/main armhf mime-support all 3.66 [10.9 kB]
Get:14 http://172.17.0.1/private bullseye-staging/main armhf libpython3.8-stdlib armhf 3.8.6-1 [1654 kB]
Get:15 http://172.17.0.1/private bullseye-staging/main armhf python3.8 armhf 3.8.6-1 [422 kB]
Get:16 http://172.17.0.1/private bullseye-staging/main armhf libpython3-stdlib armhf 3.8.6-1 [20.9 kB]
Get:17 http://172.17.0.1/private bullseye-staging/main armhf python3 armhf 3.8.6-1 [64.0 kB]
Get:18 http://172.17.0.1/private bullseye-staging/main armhf libncurses6 armhf 6.2+20200918-1 [79.5 kB]
Get:19 http://172.17.0.1/private bullseye-staging/main armhf libprocps8 armhf 2:3.3.16-5 [59.8 kB]
Get:20 http://172.17.0.1/private bullseye-staging/main armhf procps armhf 2:3.3.16-5 [238 kB]
Get:21 http://172.17.0.1/private bullseye-staging/main armhf libmagic-mgc armhf 1:5.38-5 [262 kB]
Get:22 http://172.17.0.1/private bullseye-staging/main armhf libmagic1 armhf 1:5.38-5 [113 kB]
Get:23 http://172.17.0.1/private bullseye-staging/main armhf file armhf 1:5.38-5 [67.0 kB]
Get:24 http://172.17.0.1/private bullseye-staging/main armhf gettext-base armhf 0.19.8.1-10 [117 kB]
Get:25 http://172.17.0.1/private bullseye-staging/main armhf libsigsegv2 armhf 2.12-2 [32.3 kB]
Get:26 http://172.17.0.1/private bullseye-staging/main armhf m4 armhf 1.4.18-4 [185 kB]
Get:27 http://172.17.0.1/private bullseye-staging/main armhf autoconf all 2.69-11.1 [341 kB]
Get:28 http://172.17.0.1/private bullseye-staging/main armhf autotools-dev all 20180224.1 [77.0 kB]
Get:29 http://172.17.0.1/private bullseye-staging/main armhf automake all 1:1.16.2-4 [801 kB]
Get:30 http://172.17.0.1/private bullseye-staging/main armhf autopoint all 0.19.8.1-10 [435 kB]
Get:31 http://172.17.0.1/private bullseye-staging/main armhf cmake-data all 3.18.4-1+rpi1 [1725 kB]
Get:32 http://172.17.0.1/private bullseye-staging/main armhf libicu67 armhf 67.1-4 [8289 kB]
Get:33 http://172.17.0.1/private bullseye-staging/main armhf libxml2 armhf 2.9.10+dfsg-6.3 [580 kB]
Get:34 http://172.17.0.1/private bullseye-staging/main armhf libarchive13 armhf 3.4.3-2 [294 kB]
Get:35 http://172.17.0.1/private bullseye-staging/main armhf libbrotli1 armhf 1.0.9-2 [259 kB]
Get:36 http://172.17.0.1/private bullseye-staging/main armhf libkrb5support0 armhf 1.18.3-4 [62.3 kB]
Get:37 http://172.17.0.1/private bullseye-staging/main armhf libk5crypto3 armhf 1.18.3-4 [108 kB]
Get:38 http://172.17.0.1/private bullseye-staging/main armhf libkeyutils1 armhf 1.6.1-2 [14.5 kB]
Get:39 http://172.17.0.1/private bullseye-staging/main armhf libkrb5-3 armhf 1.18.3-4 [315 kB]
Get:40 http://172.17.0.1/private bullseye-staging/main armhf libgssapi-krb5-2 armhf 1.18.3-4 [142 kB]
Get:41 http://172.17.0.1/private bullseye-staging/main armhf libnghttp2-14 armhf 1.42.0-1 [66.7 kB]
Get:42 http://172.17.0.1/private bullseye-staging/main armhf libpsl5 armhf 0.21.0-1.1 [54.2 kB]
Get:43 http://172.17.0.1/private bullseye-staging/main armhf librtmp1 armhf 2.4+20151223.gitfa8646d.1-2+b2 [54.2 kB]
Get:44 http://172.17.0.1/private bullseye-staging/main armhf libssh2-1 armhf 1.8.0-2.1 [126 kB]
Get:45 http://172.17.0.1/private bullseye-staging/main armhf libcurl4 armhf 7.72.0-1 [300 kB]
Get:46 http://172.17.0.1/private bullseye-staging/main armhf libjsoncpp1 armhf 1.7.4-3.1 [65.8 kB]
Get:47 http://172.17.0.1/private bullseye-staging/main armhf librhash0 armhf 1.4.0-1 [133 kB]
Get:48 http://172.17.0.1/private bullseye-staging/main armhf libuv1 armhf 1.40.0-1 [118 kB]
Get:49 http://172.17.0.1/private bullseye-staging/main armhf cmake armhf 3.18.4-1+rpi1 [3113 kB]
Get:50 http://172.17.0.1/private bullseye-staging/main armhf libtool all 2.4.6-14 [513 kB]
Get:51 http://172.17.0.1/private bullseye-staging/main armhf dh-autoreconf all 19 [16.9 kB]
Get:52 http://172.17.0.1/private bullseye-staging/main armhf libdebhelper-perl all 13.2.1 [188 kB]
Get:53 http://172.17.0.1/private bullseye-staging/main armhf libarchive-zip-perl all 1.68-1 [104 kB]
Get:54 http://172.17.0.1/private bullseye-staging/main armhf libsub-override-perl all 0.09-2 [10.2 kB]
Get:55 http://172.17.0.1/private bullseye-staging/main armhf libfile-stripnondeterminism-perl all 1.9.0-1 [25.5 kB]
Get:56 http://172.17.0.1/private bullseye-staging/main armhf dh-strip-nondeterminism all 1.9.0-1 [15.2 kB]
Get:57 http://172.17.0.1/private bullseye-staging/main armhf libelf1 armhf 0.182-1 [162 kB]
Get:58 http://172.17.0.1/private bullseye-staging/main armhf dwz armhf 0.13-5 [142 kB]
Get:59 http://172.17.0.1/private bullseye-staging/main armhf libglib2.0-0 armhf 2.66.3-1 [1176 kB]
Get:60 http://172.17.0.1/private bullseye-staging/main armhf libcroco3 armhf 0.6.13-1 [133 kB]
Get:61 http://172.17.0.1/private bullseye-staging/main armhf gettext armhf 0.19.8.1-10 [1219 kB]
Get:62 http://172.17.0.1/private bullseye-staging/main armhf intltool-debian all 0.35.0+20060710.5 [26.8 kB]
Get:63 http://172.17.0.1/private bullseye-staging/main armhf po-debconf all 1.0.21 [248 kB]
Get:64 http://172.17.0.1/private bullseye-staging/main armhf debhelper all 13.2.1 [1007 kB]
Get:65 http://172.17.0.1/private bullseye-staging/main armhf pkg-kde-tools all 0.15.32 [96.7 kB]
debconf: delaying package configuration, since apt-utils is not installed
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Setting up media-types (1.0.1) ...
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Setting up libbrotli1:armhf (1.0.9-2) ...
Setting up libnghttp2-14:armhf (1.42.0-1) ...
Setting up libmagic1:armhf (1:5.38-5) ...
Setting up gettext-base (0.19.8.1-10) ...
Setting up file (1:5.38-5) ...
Setting up libkrb5support0:armhf (1.18.3-4) ...
Setting up autotools-dev (20180224.1) ...
Setting up libuv1:armhf (1.40.0-1) ...
Setting up librtmp1:armhf (2.4+20151223.gitfa8646d.1-2+b2) ...
Setting up libncurses6:armhf (6.2+20200918-1) ...
Setting up libsigsegv2:armhf (2.12-2) ...
Setting up autopoint (0.19.8.1-10) ...
Setting up libk5crypto3:armhf (1.18.3-4) ...
Setting up librhash0:armhf (1.4.0-1) ...
Setting up libuchardet0:armhf (0.0.7-1) ...
Setting up libsub-override-perl (0.09-2) ...
Setting up libssh2-1:armhf (1.8.0-2.1) ...
Setting up cmake-data (3.18.4-1+rpi1) ...
Setting up libkrb5-3:armhf (1.18.3-4) ...
Setting up mailcap (3.67) ...
Setting up libelf1:armhf (0.182-1) ...
Setting up libxml2:armhf (2.9.10+dfsg-6.3) ...
Setting up libprocps8:armhf (2:3.3.16-5) ...
Setting up libjsoncpp1:armhf (1.7.4-3.1) ...
Setting up libfile-stripnondeterminism-perl (1.9.0-1) ...
Setting up mime-support (3.66) ...
Setting up libtool (2.4.6-14) ...
Setting up libarchive13:armhf (3.4.3-2) ...
Setting up m4 (1.4.18-4) ...
Setting up libgssapi-krb5-2:armhf (1.18.3-4) ...
Setting up libcroco3:armhf (0.6.13-1) ...
Setting up autoconf (2.69-11.1) ...
Setting up dh-strip-nondeterminism (1.9.0-1) ...
Setting up dwz (0.13-5) ...
Setting up groff-base (1.22.4-5) ...
Setting up procps (2:3.3.16-5) ...
update-alternatives: using /usr/bin/w.procps to provide /usr/bin/w (w) in auto mode
Setting up libcurl4:armhf (7.72.0-1) ...
Setting up libpython3.8-stdlib:armhf (3.8.6-1) ...
Setting up python3.8 (3.8.6-1) ...
Setting up libpython3-stdlib:armhf (3.8.6-1) ...
Setting up automake (1:1.16.2-4) ...
update-alternatives: using /usr/bin/automake-1.16 to provide /usr/bin/automake (automake) in auto mode
Setting up gettext (0.19.8.1-10) ...
Setting up python3 (3.8.6-1) ...
Setting up man-db (2.9.3-2) ...
Not building database; man-db/auto-update is not 'true'.
Setting up intltool-debian (0.35.0+20060710.5) ...
Setting up pkg-kde-tools (0.15.32) ...
Setting up cmake (3.18.4-1+rpi1) ...
Setting up po-debconf (1.0.21) ...
Setting up dh-autoreconf (19) ...
Setting up debhelper (13.2.1) ...
Setting up sbuild-build-depends-qhull-dummy (0.invalid.0) ...
Processing triggers for libc-bin (2.31-4+rpi1) ...
W: No sandbox user '_apt' on the system, can not drop privileges

+------------------------------------------------------------------------------+
| Build environment                                                            |
+------------------------------------------------------------------------------+

Kernel: Linux 4.15.0-76-generic armhf (armv8l)
Toolchain package versions: binutils_2.35.1-2+rpi1 dpkg-dev_1.20.5+rpi1 g++-10_10.2.0-16+rpi1 gcc-10_10.2.0-16+rpi1 libc6-dev_2.31-3+rpi1 libstdc++-10-dev_10.2.0-16+rpi1 libstdc++6_10.2.0-16+rpi1 linux-libc-dev_5.7.10-1+rpi1
Package versions: adduser_3.118 apt_2.1.11 aptitude_0.8.13-2 aptitude-common_0.8.13-2 autoconf_2.69-11.1 automake_1:1.16.2-4 autopoint_0.19.8.1-10 autotools-dev_20180224.1 base-files_11+rpi1 base-passwd_3.5.48 bash_5.1~rc2-1 binutils_2.35.1-2+rpi1 binutils-arm-linux-gnueabihf_2.35.1-2+rpi1 binutils-common_2.35.1-2+rpi1 bsdextrautils_2.36-3 bsdutils_1:2.36-3 build-essential_12.8 bzip2_1.0.8-4 cmake_3.18.4-1+rpi1 cmake-data_3.18.4-1+rpi1 coreutils_8.32-4 cpp_4:10.2.0-1+rpi1 cpp-10_10.2.0-16+rpi1 dash_0.5.11+git20200708+dd9ef66-2 debconf_1.5.74 debhelper_13.2.1 debianutils_4.11.2 dh-autoreconf_19 dh-strip-nondeterminism_1.9.0-1 diffutils_1:3.7-3 dirmngr_2.2.20-1 dpkg_1.20.5+rpi1 dpkg-dev_1.20.5+rpi1 dwz_0.13-5 e2fsprogs_1.45.6-1 fakeroot_1.25.3-1 fdisk_2.36-3 file_1:5.38-5 findutils_4.7.0+git20201010-2 g++_4:10.2.0-1+rpi1 g++-10_10.2.0-16+rpi1 gcc_4:10.2.0-1+rpi1 gcc-10_10.2.0-16+rpi1 gcc-10-base_10.2.0-16+rpi1 gettext_0.19.8.1-10 gettext-base_0.19.8.1-10 gnupg_2.2.20-1 gnupg-l10n_2.2.20-1 gnupg-utils_2.2.20-1 gpg_2.2.20-1 gpg-agent_2.2.20-1 gpg-wks-client_2.2.20-1 gpg-wks-server_2.2.20-1 gpgconf_2.2.20-1 gpgsm_2.2.20-1 gpgv_2.2.20-1 grep_3.6-1 groff-base_1.22.4-5 gzip_1.10-2 hostname_3.23 init-system-helpers_1.58 intltool-debian_0.35.0+20060710.5 iputils-ping_3:20200821-2 libacl1_2.2.53-8 libapt-pkg6.0_2.1.11 libarchive-zip-perl_1.68-1 libarchive13_3.4.3-2 libasan6_10.2.0-16+rpi1 libassuan0_2.5.3-7.1 libatomic1_10.2.0-16+rpi1 libattr1_1:2.4.48-5 libaudit-common_1:2.8.5-3.1 libaudit1_1:2.8.5-3.1 libbinutils_2.35.1-2+rpi1 libblkid1_2.36-3 libboost-iostreams1.71.0_1.71.0-7 libbrotli1_1.0.9-2 libbz2-1.0_1.0.8-4 libc-bin_2.31-4+rpi1 libc-dev-bin_2.31-3+rpi1 libc6_2.31-3+rpi1 libc6-dev_2.31-3+rpi1 libcap-ng0_0.7.9-2.2 libcap2_1:2.44-1 libcap2-bin_1:2.44-1 libcc1-0_10.2.0-16+rpi1 libcom-err2_1.45.6-1 libcroco3_0.6.13-1 libcrypt-dev_1:4.4.17-1 libcrypt1_1:4.4.17-1 libctf-nobfd0_2.35.1-2+rpi1 libctf0_2.35.1-2+rpi1 libcurl4_7.72.0-1 libcwidget4_0.5.18-5 libdb5.3_5.3.28+dfsg1-0.6 libdebconfclient0_0.255 libdebhelper-perl_13.2.1 libdpkg-perl_1.20.5+rpi1 libelf1_0.182-1 libexpat1_2.2.10-1 libext2fs2_1.45.6-1 libfakeroot_1.25.3-1 libfdisk1_2.36-3 libffi7_3.3-5 libfile-stripnondeterminism-perl_1.9.0-1 libgcc-10-dev_10.2.0-16+rpi1 libgcc-s1_10.2.0-16+rpi1 libgcrypt20_1.8.7-2 libgdbm-compat4_1.18.1-5.1 libgdbm6_1.18.1-5.1 libglib2.0-0_2.66.3-1 libgmp10_2:6.2.0+dfsg-6 libgnutls30_3.6.15-4 libgomp1_10.2.0-16+rpi1 libgpg-error0_1.38-2 libgssapi-krb5-2_1.18.3-4 libhogweed6_3.6-2 libicu67_67.1-4 libidn2-0_2.3.0-3 libisl22_0.22.1-1 libjsoncpp1_1.7.4-3.1 libk5crypto3_1.18.3-4 libkeyutils1_1.6.1-2 libkrb5-3_1.18.3-4 libkrb5support0_1.18.3-4 libksba8_1.4.0-2 libldap-2.4-2_2.4.56+dfsg-1 libldap-common_2.4.56+dfsg-1 liblz4-1_1.9.2-2 liblzma5_5.2.4-1 libmagic-mgc_1:5.38-5 libmagic1_1:5.38-5 libmount1_2.36-3 libmpc3_1.2.0-1 libmpfr6_4.1.0-3 libncurses6_6.2+20200918-1 libncursesw6_6.2+20200918-1 libnettle8_3.6-2 libnghttp2-14_1.42.0-1 libnpth0_1.6-3 libp11-kit0_0.23.21-2 libpam-cap_1:2.44-1 libpam-modules_1.3.1-5 libpam-modules-bin_1.3.1-5 libpam-runtime_1.3.1-5 libpam0g_1.3.1-5 libpcre2-8-0_10.34-7 libpcre3_2:8.39-13 libperl5.32_5.32.0-5 libpipeline1_1.5.3-1 libprocps8_2:3.3.16-5 libpsl5_0.21.0-1.1 libpython3-stdlib_3.8.6-1 libpython3.8-minimal_3.8.6-1 libpython3.8-stdlib_3.8.6-1 libreadline8_8.1~rc2-2 librhash0_1.4.0-1 librtmp1_2.4+20151223.gitfa8646d.1-2+b2 libsasl2-2_2.1.27+dfsg-2 libsasl2-modules-db_2.1.27+dfsg-2 libseccomp2_2.5.0-3+rpi1 libselinux1_3.1-2 libsemanage-common_3.1-1 libsemanage1_3.1-1 libsepol1_3.1-1 libsigc++-2.0-0v5_2.10.4-2 libsigsegv2_2.12-2 libsmartcols1_2.36-3 libsqlite3-0_3.33.0-1 libss2_1.45.6-1 libssh2-1_1.8.0-2.1 libssl1.1_1.1.1h-1 libstdc++-10-dev_10.2.0-16+rpi1 libstdc++6_10.2.0-16+rpi1 libsub-override-perl_0.09-2 libsystemd0_246.6-2+rpi1 libtasn1-6_4.16.0-2 libtinfo6_6.2+20200918-1 libtool_2.4.6-14 libubsan1_10.2.0-16+rpi1 libuchardet0_0.0.7-1 libudev1_246.6-2+rpi1 libunistring2_0.9.10-4 libuuid1_2.36-3 libuv1_1.40.0-1 libxapian30_1.4.17-1 libxml2_2.9.10+dfsg-6.3 libzstd1_1.4.5+dfsg-4+rpi1 linux-libc-dev_5.7.10-1+rpi1 login_1:4.8.1-1 logsave_1.45.6-1 lsb-base_11.1.0+rpi1 m4_1.4.18-4 mailcap_3.67 make_4.3-4 man-db_2.9.3-2 mawk_1.3.4.20200120-2 media-types_1.0.1 mime-support_3.66 mount_2.36-3 ncurses-base_6.2+20200918-1 ncurses-bin_6.2+20200918-1 netbase_6.2 passwd_1:4.8.1-1 patch_2.7.6-6 perl_5.32.0-5 perl-base_5.32.0-5 perl-modules-5.32_5.32.0-5 pinentry-curses_1.1.0-4 pkg-kde-tools_0.15.32 po-debconf_1.0.21 procps_2:3.3.16-5 python3_3.8.6-1 python3-minimal_3.8.6-1 python3.8_3.8.6-1 python3.8-minimal_3.8.6-1 raspbian-archive-keyring_20120528.2 readline-common_8.1~rc2-2 sbuild-build-depends-core-dummy_0.invalid.0 sbuild-build-depends-qhull-dummy_0.invalid.0 sed_4.7-1 sensible-utils_0.0.12+nmu1 sysvinit-utils_2.96-5 tar_1.30+dfsg-7 tzdata_2020d-1 util-linux_2.36-3 xz-utils_5.2.4-1 zlib1g_1:1.2.11.dfsg-2

+------------------------------------------------------------------------------+
| Build                                                                        |
+------------------------------------------------------------------------------+


Unpack source
-------------

gpgv: unknown type of key resource 'trustedkeys.kbx'
gpgv: keyblock resource '/tmp/dpkg-verify-sig.eu0Hi62s/trustedkeys.kbx': General error
gpgv: Signature made Tue Dec  1 15:01:35 2020 UTC
gpgv:                using RSA key 26FB43829C6392308856D6A6F82F07FB8EBA2D59
gpgv: Can't check signature: No public key
dpkg-source: warning: failed to verify signature on ./qhull_2020.2-3.dsc
dpkg-source: info: extracting qhull in /<<PKGBUILDDIR>>
dpkg-source: info: unpacking qhull_2020.2.orig.tar.gz
dpkg-source: info: unpacking qhull_2020.2-3.debian.tar.xz
dpkg-source: info: using patch list from debian/patches/series
dpkg-source: info: applying 0001-debianize-test-failure-msg.patch
dpkg-source: info: applying 0002-Fix-privacy-breach.patch
dpkg-source: info: applying 0003-Use-local-version-of-function-index.patch
dpkg-source: info: applying 0004-Build-qhullcpp-as-shared-library.patch
dpkg-source: info: applying 0005-Fix-CMake-target-export.patch
dpkg-source: info: applying 0006-Build-deprecated-libqhull-for-now.patch

Check disk space
----------------

Sufficient free space for build

User Environment
----------------

APT_CONFIG=/var/lib/sbuild/apt.conf
DEB_BUILD_OPTIONS=parallel=4
HOME=/sbuild-nonexistent
LC_ALL=POSIX
LOGNAME=buildd
PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games
SCHROOT_ALIAS_NAME=bullseye-staging-armhf-sbuild
SCHROOT_CHROOT_NAME=bullseye-staging-armhf-sbuild
SCHROOT_COMMAND=env
SCHROOT_GID=112
SCHROOT_GROUP=buildd
SCHROOT_SESSION_ID=bullseye-staging-armhf-sbuild-257a531e-c2ef-4632-977b-156ed4940fce
SCHROOT_UID=107
SCHROOT_USER=buildd
SHELL=/bin/sh
USER=buildd

dpkg-buildpackage
-----------------

dpkg-buildpackage: info: source package qhull
dpkg-buildpackage: info: source version 2020.2-3
dpkg-buildpackage: info: source distribution unstable
 dpkg-source --before-build .
dpkg-buildpackage: info: host architecture armhf
 debian/rules clean
dh clean --buildsystem=cmake --with pkgkde_symbolshelper
   dh_auto_clean -O--buildsystem=cmake
   dh_autoreconf_clean -O--buildsystem=cmake
   dh_clean -O--buildsystem=cmake
 debian/rules binary-arch
dh binary-arch --buildsystem=cmake --with pkgkde_symbolshelper
   dh_update_autotools_config -a -O--buildsystem=cmake
   dh_autoreconf -a -O--buildsystem=cmake
   debian/rules override_dh_auto_configure
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_auto_configure 						\
	--buildsystem=cmake					\
	--builddir=/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf		\
	--                        				\
	-DCMAKE_SKIP_RPATH=ON                                   \
	-DINCLUDE_INSTALL_DIR=include                           \
	-DLINK_APPS_SHARED=ON					\
	-DLIB_INSTALL_DIR=lib/arm-linux-gnueabihf             \
	-DBIN_INSTALL_DIR=bin                                   \
	-DMAN_INSTALL_DIR=share/man/man1                        \
	-DDOC_INSTALL_DIR=share/doc/libqhull-dev/qhull
	cd obj-arm-linux-gnueabihf && cmake -DCMAKE_INSTALL_PREFIX=/usr -DCMAKE_BUILD_TYPE=None -DCMAKE_INSTALL_SYSCONFDIR=/etc -DCMAKE_INSTALL_LOCALSTATEDIR=/var -DCMAKE_EXPORT_NO_PACKAGE_REGISTRY=ON -DCMAKE_FIND_PACKAGE_NO_PACKAGE_REGISTRY=ON -DCMAKE_INSTALL_RUNSTATEDIR=/run -DCMAKE_SKIP_INSTALL_ALL_DEPENDENCY=ON "-GUnix Makefiles" -DCMAKE_VERBOSE_MAKEFILE=ON -DCMAKE_INSTALL_LIBDIR=lib/arm-linux-gnueabihf -DCMAKE_SKIP_RPATH=ON -DINCLUDE_INSTALL_DIR=include -DLINK_APPS_SHARED=ON -DLIB_INSTALL_DIR=lib/arm-linux-gnueabihf -DBIN_INSTALL_DIR=bin -DMAN_INSTALL_DIR=share/man/man1 -DDOC_INSTALL_DIR=share/doc/libqhull-dev/qhull ..
-- The C compiler identification is GNU 10.2.0
-- The CXX compiler identification is GNU 10.2.0
-- Detecting C compiler ABI info
-- Detecting C compiler ABI info - done
-- Check for working C compiler: /usr/bin/cc - skipped
-- Detecting C compile features
-- Detecting C compile features - done
-- Detecting CXX compiler ABI info
-- Detecting CXX compiler ABI info - done
-- Check for working CXX compiler: /usr/bin/c++ - skipped
-- Detecting CXX compile features
-- Detecting CXX compile features - done
-- Looking for sys/types.h
-- Looking for sys/types.h - found
-- Looking for inttypes.h
-- Looking for inttypes.h - found
-- Looking for stddef.h
-- Looking for stddef.h - found
-- Looking for stdint.h
-- Looking for stdint.h - found
-- Check size of off_t
-- Check size of off_t - done
-- Looking for fseeko
-- Looking for fseeko - found
-- Looking for ftello
-- Looking for ftello - found
-- Looking for PRIdMAX
-- Looking for PRIdMAX - found
-- 
-- ========== qhull Build Information ==========
-- Build Version:                             8.0.2
-- Install Prefix (CMAKE_INSTALL_PREFIX):     /usr
-- Binary Directory (BIN_INSTALL_DIR):        bin
-- Library Directory (LIB_INSTALL_DIR):       lib/arm-linux-gnueabihf
-- Include Directory (INCLUDE_INSTALL_DIR):   include
-- Documentation Directory (DOC_INSTALL_DIR): share/doc/libqhull-dev/qhull
-- Man Pages Directory (MAN_INSTALL_DIR):     share/man/man1
-- Build Type (CMAKE_BUILD_TYPE):             None
-- Build static libraries:                    ON
-- Build shared library:                      ON
-- Use shared library for linking apps:       ON
-- To override these options, add -D{OPTION_NAME}=... to the cmake command
--   Build the debug targets                  -DCMAKE_BUILD_TYPE=Debug
-- 
-- To build and install qhull, enter "make" and "make install"
-- To smoketest qhull, enter "ctest"
-- 
-- Configuring done
-- Generating done
CMake Warning:
  Manually-specified variables were not used by the project:

    CMAKE_EXPORT_NO_PACKAGE_REGISTRY
    CMAKE_FIND_PACKAGE_NO_PACKAGE_REGISTRY
    CMAKE_INSTALL_LIBDIR
    CMAKE_INSTALL_LOCALSTATEDIR
    CMAKE_INSTALL_RUNSTATEDIR
    CMAKE_INSTALL_SYSCONFDIR


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[ 47%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/poly_r.c.o
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[ 48%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/qset_r.c.o
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[ 48%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/mem_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/mem_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/mem_r.c
[ 49%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/random_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/random_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/random_r.c
make  -f CMakeFiles/testqset.dir/build.make CMakeFiles/testqset.dir/depend
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[ 50%] Building C object CMakeFiles/testqset.dir/src/libqhull/mem.c.o
/usr/bin/cc  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/libqhull/mem.c.o -c /<<PKGBUILDDIR>>/src/libqhull/mem.c
[ 51%] Building C object CMakeFiles/testqset.dir/src/libqhull/usermem.c.o
/usr/bin/cc  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/libqhull/usermem.c.o -c /<<PKGBUILDDIR>>/src/libqhull/usermem.c
[ 51%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/usermem_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/usermem_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/usermem_r.c
[ 51%] Building C object CMakeFiles/testqset.dir/src/testqset/testqset.c.o
/usr/bin/cc  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/testqset/testqset.c.o -c /<<PKGBUILDDIR>>/src/testqset/testqset.c
[ 52%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/userprintf_r.c
[ 54%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/io_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/io_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/io_r.c
[ 54%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/user_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/user_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/user_r.c
[ 55%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/rboxlib_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/rboxlib_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/rboxlib_r.c
[ 56%] Linking C executable testqset
/usr/bin/cmake -E cmake_link_script CMakeFiles/testqset.dir/link.txt --verbose=1
/usr/bin/cc -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/testqset.dir/src/libqhull/qset.c.o CMakeFiles/testqset.dir/src/libqhull/mem.c.o CMakeFiles/testqset.dir/src/libqhull/usermem.c.o CMakeFiles/testqset.dir/src/testqset/testqset.c.o -o testqset 
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
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[ 56%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_rbox_r.c.o
/usr/bin/cc -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_rbox_r.c.o -c /<<PKGBUILDDIR>>/src/libqhull_r/userprintf_rbox_r.c
make  -f CMakeFiles/qhullcpp_static.dir/build.make CMakeFiles/qhullcpp_static.dir/depend
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cd /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf && /usr/bin/cmake -E cmake_depends "Unix Makefiles" /<<PKGBUILDDIR>> /<<PKGBUILDDIR>> /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles/qhullcpp_static.dir/DependInfo.cmake --color=
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[ 56%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Coordinates.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Coordinates.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp
[ 57%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/PointCoordinates.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/PointCoordinates.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp
[ 58%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Qhull.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Qhull.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:18,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:18,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::Coordinates::append(int, double*)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h: In member function 'orgQhull::Coordinates orgQhull::Coordinates::mid(countT, countT) const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h: In member function 'orgQhull::Coordinates orgQhull::Coordinates::operator+(const orgQhull::Coordinates&) const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h: In member function 'orgQhull::Coordinates& orgQhull::Coordinates::operator+=(const orgQhull::Coordinates&)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 58%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacet.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullFacet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.h:12,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp:12:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.h:12,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp:12:
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::Qhull::runQhull(const char*, int, int, const double*, const char*)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::PointCoordinates::appendPoints(std::istream&)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
make  -f CMakeFiles/user_eg2.dir/build.make CMakeFiles/user_eg2.dir/depend
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/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::PointCoordinates::append(countT, const double*)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
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[ 64%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/PointCoordinates.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/PointCoordinates.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp
[ 65%] Linking C executable qhalf
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhalf.dir/link.txt --verbose=1
/usr/bin/cc -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/qhalf.dir/src/qhalf/qhalf_r.c.o -o qhalf  libqhull_r.so.8.0.2 -lm 
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[ 67%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetList.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetList.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullFacetList.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:18,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:18,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::Coordinates::append(int, double*)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 68%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/Qhull.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/Qhull.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp
/usr/include/c++/10/bits/stl_vector.h: In member function 'orgQhull::Coordinates orgQhull::Coordinates::mid(countT, countT) const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h: In member function 'orgQhull::Coordinates orgQhull::Coordinates::operator+(const orgQhull::Coordinates&) const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h: In member function 'orgQhull::Coordinates& orgQhull::Coordinates::operator+=(const orgQhull::Coordinates&)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
make  -f CMakeFiles/qvoronoi.dir/build.make CMakeFiles/qvoronoi.dir/depend
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/usr/bin/cc  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qvoronoi.dir/src/qvoronoi/qvoronoi_r.c.o -c /<<PKGBUILDDIR>>/src/qvoronoi/qvoronoi_r.c
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[ 70%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacet.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullFacet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::PointCoordinates::appendPoints(std::istream&)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 70%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetSet.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullFacetSet.cpp
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::PointCoordinates::append(countT, const double*)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
make  -f CMakeFiles/qconvex.dir/build.make CMakeFiles/qconvex.dir/depend
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
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[ 72%] Linking C executable qconvex
/usr/bin/cmake -E cmake_link_script CMakeFiles/qconvex.dir/link.txt --verbose=1
/usr/bin/cc -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/qconvex.dir/src/qconvex/qconvex_r.c.o -o qconvex  libqhull_r.so.8.0.2 -lm 
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 72%] Built target qconvex
make  -f CMakeFiles/qhull.dir/build.make CMakeFiles/qhull.dir/depend
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
cd /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf && /usr/bin/cmake -E cmake_depends "Unix Makefiles" /<<PKGBUILDDIR>> /<<PKGBUILDDIR>> /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles/qhull.dir/DependInfo.cmake --color=
Scanning dependencies of target qhull
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make  -f CMakeFiles/qhull.dir/build.make CMakeFiles/qhull.dir/build
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 74%] Building C object CMakeFiles/qhull.dir/src/qhull/unix_r.c.o
/usr/bin/cc  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhull.dir/src/qhull/unix_r.c.o -c /<<PKGBUILDDIR>>/src/qhull/unix_r.c
[ 74%] Linking C executable qhull
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhull.dir/link.txt --verbose=1
/usr/bin/cc -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/qhull.dir/src/qhull/unix_r.c.o -o qhull  libqhull_r.so.8.0.2 -lm 
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 74%] Built target qhull
make  -f CMakeFiles/rbox.dir/build.make CMakeFiles/rbox.dir/depend
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
cd /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf && /usr/bin/cmake -E cmake_depends "Unix Makefiles" /<<PKGBUILDDIR>> /<<PKGBUILDDIR>> /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles/rbox.dir/DependInfo.cmake --color=
Scanning dependencies of target rbox
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make  -f CMakeFiles/rbox.dir/build.make CMakeFiles/rbox.dir/build
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 74%] Building C object CMakeFiles/rbox.dir/src/rbox/rbox_r.c.o
/usr/bin/cc  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/rbox.dir/src/rbox/rbox_r.c.o -c /<<PKGBUILDDIR>>/src/rbox/rbox_r.c
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.h:12,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp:12:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
[ 75%] Linking C executable rbox
/usr/bin/cmake -E cmake_link_script CMakeFiles/rbox.dir/link.txt --verbose=1
/usr/bin/cc -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/rbox.dir/src/rbox/rbox_r.c.o -o rbox  libqhull_r.so.8.0.2 -lm 
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.h:12,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp:12:
/usr/include/c++/10/bits/stl_vector.h: In member function 'void orgQhull::Qhull::runQhull(const char*, int, int, const double*, const char*)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 75%] Built target rbox
[ 75%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetList.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetList.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullFacetList.cpp
[ 76%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullHyperplane.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullHyperplane.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp
[ 77%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoint.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoint.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.cpp
[ 78%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetSet.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullFacetSet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'std::vector<double> orgQhull::QhullHyperplane::toStdVector() const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 78%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPointSet.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPointSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPointSet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'std::vector<double> orgQhull::QhullPoint::toStdVector() const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 80%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoints.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoints.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.cpp
[ 80%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullHyperplane.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullHyperplane.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp
[ 80%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullQh.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullQh.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullQh.cpp
[ 81%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoint.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoint.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'std::vector<double> orgQhull::QhullHyperplane::toStdVector() const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 82%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullRidge.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullRidge.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullRidge.cpp
[ 83%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullSet.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullSet.cpp
[ 84%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPointSet.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPointSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPointSet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In member function 'std::vector<double> orgQhull::QhullPoint::toStdVector() const':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 84%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullStat.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullStat.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullStat.cpp
[ 85%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullUser.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullUser.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.cpp
[ 85%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoints.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoints.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.cpp
[ 87%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertex.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertex.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullVertex.cpp
[ 88%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullQh.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullQh.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullQh.cpp
[ 88%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullRidge.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullRidge.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullRidge.cpp
[ 89%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullSet.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullSet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In function 'void qh_fprintf(qhT*, FILE*, int, const char*, ...)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 89%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertexSet.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertexSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullVertexSet.cpp
[ 90%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullStat.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullStat.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullStat.cpp
[ 90%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullUser.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullUser.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.cpp
[ 91%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullVertex.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullVertex.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullVertex.cpp
[ 92%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RboxPoints.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RboxPoints.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RboxPoints.cpp
[ 92%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadError.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadError.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RoadError.cpp
[ 92%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullVertexSet.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullVertexSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullVertexSet.cpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.cpp:9:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {const double&}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
[ 94%] Building CXX object CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadLogEvent.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadLogEvent.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RoadLogEvent.cpp
In file included from /usr/include/c++/10/vector:67,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.h:13,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullUser.cpp:9:
/usr/include/c++/10/bits/stl_vector.h: In function 'void qh_fprintf(qhT*, FILE*, int, const char*, ...)':
/usr/include/c++/10/bits/stl_vector.h:1198:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
 1198 |    _M_realloc_insert(end(), __x);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
[ 95%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/RboxPoints.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RboxPoints.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RboxPoints.cpp
[ 96%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadError.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadError.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RoadError.cpp
[ 96%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadLogEvent.cpp.o
/usr/bin/c++ -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadLogEvent.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RoadLogEvent.cpp
[ 97%] Linking CXX static library libqhullcpp.a
/usr/bin/cmake -P CMakeFiles/qhullcpp_static.dir/cmake_clean_target.cmake
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhullcpp_static.dir/link.txt --verbose=1
/usr/bin/ar qc libqhullcpp.a CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Coordinates.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/PointCoordinates.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Qhull.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetList.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullHyperplane.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoint.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPointSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoints.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullQh.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullRidge.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullStat.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullUser.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertex.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertexSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RboxPoints.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadError.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadLogEvent.cpp.o
/usr/bin/ranlib libqhullcpp.a
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 97%] Built target qhullcpp_static
make  -f CMakeFiles/user_eg3.dir/build.make CMakeFiles/user_eg3.dir/depend
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
cd /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf && /usr/bin/cmake -E cmake_depends "Unix Makefiles" /<<PKGBUILDDIR>> /<<PKGBUILDDIR>> /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles/user_eg3.dir/DependInfo.cmake --color=
Scanning dependencies of target user_eg3
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make  -f CMakeFiles/user_eg3.dir/build.make CMakeFiles/user_eg3.dir/build
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 98%] Building CXX object CMakeFiles/user_eg3.dir/src/user_eg3/user_eg3_r.cpp.o
/usr/bin/c++  -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/user_eg3.dir/src/user_eg3/user_eg3_r.cpp.o -c /<<PKGBUILDDIR>>/src/user_eg3/user_eg3_r.cpp
[100%] Linking CXX shared library libqhullcpp.so
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhullcpp.dir/link.txt --verbose=1
/usr/bin/c++ -fPIC -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -shared -Wl,-soname,libqhullcpp.so.8.0 -o libqhullcpp.so.8.0.2 CMakeFiles/qhullcpp.dir/src/libqhullcpp/Coordinates.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/PointCoordinates.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/Qhull.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacet.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetList.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetSet.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullHyperplane.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoint.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPointSet.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoints.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullQh.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullRidge.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullSet.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullStat.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullUser.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullVertex.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullVertexSet.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RboxPoints.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadError.cpp.o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadLogEvent.cpp.o  libqhull_r.so.8.0.2 -lm 
/usr/bin/cmake -E cmake_symlink_library libqhullcpp.so.8.0.2 libqhullcpp.so.8.0 libqhullcpp.so
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[100%] Built target qhullcpp
In file included from /usr/include/c++/10/vector:72,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoint.h:14,
                 from /<<PKGBUILDDIR>>/src/libqhullcpp/RboxPoints.h:13,
                 from /<<PKGBUILDDIR>>/src/user_eg3/user_eg3_r.cpp:3:
/usr/include/c++/10/bits/vector.tcc: In member function 'void std::vector<_Tp, _Alloc>::_M_realloc_insert(std::vector<_Tp, _Alloc>::iterator, _Args&& ...) [with _Args = {double}; _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/10/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' changed in GCC 7.1
  426 |       vector<_Tp, _Alloc>::
      |       ^~~~~~~~~~~~~~~~~~~
/usr/include/c++/10/bits/vector.tcc: In function 'void qvoronoi_o(const orgQhull::Qhull&)':
/usr/include/c++/10/bits/vector.tcc:121:21: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
  121 |    _M_realloc_insert(end(), std::forward<_Args>(__args)...);
      |    ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[100%] Linking CXX executable user_eg3
/usr/bin/cmake -E cmake_link_script CMakeFiles/user_eg3.dir/link.txt --verbose=1
/usr/bin/c++ -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/user_eg3.dir/src/user_eg3/user_eg3_r.cpp.o -o user_eg3  libqhullcpp.a libqhullstatic_r.a -lm 
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[100%] Built target user_eg3
make[2]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
/usr/bin/cmake -E cmake_progress_start /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles 0
make[1]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
   debian/rules execute_after_dh_auto_build
make[1]: Entering directory '/<<PKGBUILDDIR>>'
Building man pages
cd debian &&							\
for info in 							\
    "qconvex:compute the convex hull:qconvex"			\
    "qdelaunay:compute the Delaunay triangulation:qdelaun"	\
    "qhalf:halfspace intersection about a point:qhalf"		\
    "qvoronoi:compute the Voronoi diagram:qvoronoi";		\
do								\
      comm=$(echo  $info | cut -d: -f1) &&			\
      purp=$(echo  $info | cut -d: -f2) &&			\
      doc=$(echo   $info | cut -d: -f3) &&			\
      COMM=$(echo  $comm | tr [:lower:] [:upper:]) &&		\
      echo -n Building man page for $comm... &&		\
      sed -e "s/#command#/$comm/g" -e "s/#purpose#/$purp/g"	\
          -e "s/#COMMAND#/$COMM/g" -e "s/#doc#/$doc/g"	\
          manpage.in > $comm.1 &&				\
      echo " done";						\
  done
Building man page for qconvex... done
Building man page for qdelaunay... done
Building man page for qhalf... done
Building man page for qvoronoi... done
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   debian/rules override_dh_auto_test
make[1]: Entering directory '/<<PKGBUILDDIR>>'
env LD_LIBRARY_PATH=/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf \
    PATH=/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf:$PATH \
    eg/q_test

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 6
  Number of non-simplicial facets: 6

Statistics for:  | qhull s Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000329


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

Delaunay triangulation by the convex hull of 8 points in 4-d:

  Number of input sites: 8
  Number of Delaunay regions: 9

Statistics for:  | qhull s d Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 24
  Number of facets in hull: 16
  Number of distance tests for qhull: 26
  CPU seconds to compute hull (after input): 0.000129


Output completed.  Verifying that all points are below 1.4e-14 of
all facets.  Will make 72 distance computations.

Delaunay triangulation by the convex hull of 8 points in 4-d:

  Number of input sites: 8
  Number of Delaunay regions: 11

Statistics for:  | qhull s d Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 28
  Number of facets in hull: 18
  Number of distance tests for qhull: 28
  CPU seconds to compute hull (after input): 0.000123


Output completed.  Verifying that all points are below 9e-15 of
all facets.  Will make 88 distance computations.

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 6
  Number of non-simplicial intersection points: 6

Statistics for:  | qhull H0 s Tcv Fp

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000148


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.
==============================
========= eg/q_test ==========
== Check qhull programs ======
==============================

qhull => qhull_r 8.0.2 (2020.2.r 2020/08/31)
qconvex => qhull_r 8.0.2 (2020.2.r 2020/08/31)
qvoronoi => qhull_r 8.0.2 (2020.2.r 2020/08/31)
qdelaunay => qhull_r 8.0.2 (2020.2.r 2020/08/31)
qhalf => qhull_r 8.0.2 (2020.2.r 2020/08/31)
-rwxr-xr-x 1 buildd buildd   42992 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/qconvex
-rwxr-xr-x 1 buildd buildd   42616 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/qdelaunay
-rwxr-xr-x 1 buildd buildd   42896 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/qhalf
-rwxr-xr-x 1 buildd buildd   46516 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/qhull
-rwxr-xr-x 1 buildd buildd   42028 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/qvoronoi
-rwxr-xr-x 1 buildd buildd   38888 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/user_eg
-rwxr-xr-x 1 buildd buildd 1273300 Dec  4 05:27 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/user_eg2
-rwxr-xr-x 1 buildd buildd 4270836 Dec  4 05:28 /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/user_eg3
==============================
== check user_eg, user_eg2, and user_eg3
== errors if user_eg and user_eg2 not found
==============================
user_eg

========
user_eg 'cube qhull options' 'Delaunay options' 'halfspace options'

This is the output from user_eg_r.c.  It shows how qhull() may be called from
an application, via Qhull's shared, reentrant library.  user_eg is not part of
Qhull itself.  If user_eg fails immediately, user_eg_r.c was incorrectly linked
to Qhull's non-reentrant library, libqhull.
Try -- user_eg 'T1' 'T1' 'T1'


========
compute convex hull of cube after rotating input
input
    -1     -1     -1 
     1     -1     -1 
    -1      1     -1 
     1      1     -1 
    -1     -1      1 
     1     -1      1 
    -1      1      1 
     1      1      1 

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 6
  Number of non-simplicial facets: 6

Statistics for:  | qhull s Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000205


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

8 vertices and 6 facets with normals:
    -0     -0     -1 
     0     -1      0 
     1     -0     -0 
    -1     -0     -0 
     0      1     -0 
    -0     -0      1 

========
compute 3-d Delaunay triangulation
seed: 1607059685
input
-0.115 -0.242 -0.858 
0.0682  0.468 -0.983 
-0.771 -0.904  0.971 
 0.845  0.695 -0.441 
-0.261 -0.892 -0.252 
 0.691  0.526  0.415 
 0.852 -0.657  0.208 
 0.585 -0.716  -0.74 

Delaunay triangulation by the convex hull of 8 points in 4-d:

  Number of input sites: 8
  Number of Delaunay regions: 9

Statistics for:  | qhull s d Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 24
  Number of facets in hull: 16
  Number of distance tests for qhull: 26
  CPU seconds to compute hull (after input): 0.000108


Output completed.  Verifying that all points are below 1.4e-14 of
all facets.  Will make 72 distance computations.

8 vertices and 16 facets with normals:
  0.63   0.14   0.47    0.6 
  0.61 -0.036   -0.3  -0.73 
 -0.46   0.82   0.22   0.26 
 -0.75   0.46   0.24  -0.41 
  0.35    0.3  -0.33  -0.82 
  0.59   -0.1  0.011    0.8 
 0.052  0.092  -0.44   0.89 
 -0.48  -0.26  -0.68   0.49 
  0.62 -0.052  -0.32  -0.71 
  0.57  0.025  -0.63  -0.53 
-0.076  -0.28   0.71  -0.64 
 -0.73   0.35    0.3  -0.51 
  0.26  -0.19  0.042  -0.95 
  0.19  -0.98  0.017  0.044 
  -0.5  -0.43  -0.65   0.38 
  0.39  -0.45  -0.24  -0.77 

find 3-d Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...]
-0.26 -0.89 -0.25 
 0.69  0.53  0.42 
-0.11 -0.24 -0.86 
-0.77 -0.90  0.97 

========
Compute a new triangulation as a separate instance of Qhull
seed: 1607059686
input
-0.115  0.021  0.653 
 0.986 -0.467 -0.546 
-0.677  0.454  0.329 
 0.714 -0.538  0.598 
  -0.6 -0.823 -0.145 
-0.249 -0.131  0.431 
-0.381 -0.524 -0.957 
-0.0411  0.462  -0.88 

Delaunay triangulation by the convex hull of 8 points in 4-d:

  Number of input sites: 8
  Number of Delaunay regions: 11

Statistics for:  | qhull s d Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 28
  Number of facets in hull: 18
  Number of distance tests for qhull: 28
  CPU seconds to compute hull (after input): 0.000112


Output completed.  Verifying that all points are below 9e-15 of
all facets.  Will make 88 distance computations.

8 vertices and 18 facets with normals:
  0.29  -0.72  -0.15  -0.61 
  0.34   0.74   0.27   0.51 
 -0.14   0.36   0.09   0.92 
 -0.18   0.17   0.24   0.94 
 -0.25  0.087   0.28   0.92 
 -0.17  -0.15   0.23   0.95 
 -0.68 -0.029   -0.4  -0.62 
 -0.62  0.024  -0.44  -0.64 
  0.22  -0.57  -0.39  -0.69 
  0.25  -0.31  -0.52  -0.76 
  0.66   0.34  -0.11  -0.66 
  0.69   0.66   0.13  -0.27 
  0.71   0.18 -0.017  -0.68 
  0.16   0.71 -0.035  -0.69 
   0.5   0.81   0.28  0.071 
 -0.67  -0.31   0.67 -0.075 
 -0.42  -0.24   0.79   0.37 
 -0.25  -0.64   0.71  -0.15 

========
Free memory allocated by the new instance of Qhull, and redisplay the old results.



8 vertices and 16 facets with normals:
  0.63   0.14   0.47    0.6 
  0.61 -0.036   -0.3  -0.73 
 -0.46   0.82   0.22   0.26 
 -0.75   0.46   0.24  -0.41 
  0.35    0.3  -0.33  -0.82 
  0.59   -0.1  0.011    0.8 
 0.052  0.092  -0.44   0.89 
 -0.48  -0.26  -0.68   0.49 
  0.62 -0.052  -0.32  -0.71 
  0.57  0.025  -0.63  -0.53 
-0.076  -0.28   0.71  -0.64 
 -0.73   0.35    0.3  -0.51 
  0.26  -0.19  0.042  -0.95 
  0.19  -0.98  0.017  0.044 
  -0.5  -0.43  -0.65   0.38 
  0.39  -0.45  -0.24  -0.77 

========
compute halfspace intersection about the origin for a diamond
input as halfspace coefficients + offsets
    -1     -1     -1     -1 
     1     -1     -1     -1 
    -1      1     -1     -1 
     1      1     -1     -1 
    -1     -1      1     -1 
     1     -1      1     -1 
    -1      1      1     -1 
     1      1      1     -1 

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 6
  Number of non-simplicial intersection points: 6

Statistics for:  | qhull H0 s Tcv Fp

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000144

3
6
     0      0     -1 
     0     -1      0 
     1      0      0 
    -1      0      0 
     0      1      0 
     0      0      1 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

8 vertices and 6 facets with normals:
    -0     -0     -1 
     0     -1      0 
     1     -0     -0 
    -1     -0     -0 
     0      1     -0 
    -0     -0      1 
user_eg  'QR1 p n Qt'  'v p'  'Fp'

========
user_eg 'cube qhull options' 'Delaunay options' 'halfspace options'

This is the output from user_eg_r.c.  It shows how qhull() may be called from
an application, via Qhull's shared, reentrant library.  user_eg is not part of
Qhull itself.  If user_eg fails immediately, user_eg_r.c was incorrectly linked
to Qhull's non-reentrant library, libqhull.
Try -- user_eg 'T1' 'T1' 'T1'


========
compute convex hull of cube after rotating input
input
    -1     -1     -1 
     1     -1     -1 
    -1      1     -1 
     1      1     -1 
    -1     -1      1 
     1     -1      1 
    -1      1      1 
     1      1      1 

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 12
  Number of triangulated facets: 6

Statistics for:  | qhull s Tcv QR1 p n Qt QR1

  Number of points processed: 8
  Number of hyperplanes created: 12
  Number of distance tests for qhull: 22
  Number of distance tests for merging: 100
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000193

3
8
0.9124763375291641 1.390833937612012 -0.4826674750136243 
-0.5764091147442416 0.565375258822974 -1.532352227508615 
-0.1847368907548403 1.250953879569599 1.183632828365285 
-1.673622343028246 0.4254952007805605 0.1339480758702939 
1.673622343028246 -0.4254952007805605 -0.1339480758702939 
0.1847368907548403 -1.250953879569599 -1.183632828365285 
0.5764091147442416 -0.565375258822974 1.532352227508615 
-0.9124763375291641 -1.390833937612012 0.4826674750136243 
4
12
-0.744442726136703 -0.4127293393945193 -0.5248423762474955     -1 
-0.744442726136703 -0.4127293393945193 -0.5248423762474955     -1 
0.380573002749541 -0.9081645691962865 0.1743596995716653     -1 
0.380573002749541 -0.9081645691962865 0.1743596995716653     -1 
-0.5486066141420022 -0.06994002902120684 0.8331501516894545     -1 
-0.5486066141420022 -0.06994002902120684 0.8331501516894545     -1 
0.5486066141420022 0.06994002902120672 -0.8331501516894545     -1 
0.5486066141420022 0.06994002902120672 -0.8331501516894545     -1 
0.7444427261367031 0.4127293393945192 0.5248423762474955     -1 
0.7444427261367031 0.4127293393945192 0.5248423762474955     -1 
-0.380573002749541 0.9081645691962864 -0.1743596995716652     -1 
-0.380573002749541 0.9081645691962864 -0.1743596995716652     -1 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 96 distance computations.

8 vertices and 12 facets with normals:
 -0.74  -0.41  -0.52 
 -0.74  -0.41  -0.52 
  0.38  -0.91   0.17 
  0.38  -0.91   0.17 
 -0.55  -0.07   0.83 
 -0.55  -0.07   0.83 
  0.55   0.07  -0.83 
  0.55   0.07  -0.83 
  0.74   0.41   0.52 
  0.74   0.41   0.52 
 -0.38   0.91  -0.17 
 -0.38   0.91  -0.17 

========
compute 3-d Delaunay triangulation
seed: 1607059685
input
-0.115 -0.242 -0.858 
0.0682  0.468 -0.983 
-0.771 -0.904  0.971 
 0.845  0.695 -0.441 
-0.261 -0.892 -0.252 
 0.691  0.526  0.415 
 0.852 -0.657  0.208 
 0.585 -0.716  -0.74 

Voronoi diagram by the convex hull of 8 points in 4-d:

  Number of Voronoi regions: 8
  Number of Voronoi vertices: 9

Statistics for:  | qhull s d Tcv v p

  Number of points processed: 8
  Number of hyperplanes created: 24
  Number of facets in hull: 16
  Number of distance tests for qhull: 26
  CPU seconds to compute hull (after input): 0.000108

3
9
0.4157073961102399 -0.02435351745483572 -0.2017027698084876 
-0.9240740999248107 0.560169151729829 0.2940707680130784 
0.2149166995348155 0.1793260550491259 -0.1974634985644307 
0.4389829302547613 -0.03666435234134025 -0.2276225197616694 
0.5423189683859138 0.02346008114807596 -0.6009981120374712 
-0.05953811727836322 -0.221641280872083 0.5565859636439954 
-0.7096902834586311 0.3399025628048324 0.2912334951228991 
0.1356806501171283 -0.101648248830182 0.02231003021887562 
0.2513944943595281 -0.2966064214432269 -0.1586653881755448 

Output completed.  Verifying that all points are below 1.4e-14 of
all facets.  Will make 72 distance computations.

8 vertices and 16 facets with normals:
  0.63   0.14   0.47    0.6 
  0.61 -0.036   -0.3  -0.73 
 -0.46   0.82   0.22   0.26 
 -0.75   0.46   0.24  -0.41 
  0.35    0.3  -0.33  -0.82 
  0.59   -0.1  0.011    0.8 
 0.052  0.092  -0.44   0.89 
 -0.48  -0.26  -0.68   0.49 
  0.62 -0.052  -0.32  -0.71 
  0.57  0.025  -0.63  -0.53 
-0.076  -0.28   0.71  -0.64 
 -0.73   0.35    0.3  -0.51 
  0.26  -0.19  0.042  -0.95 
  0.19  -0.98  0.017  0.044 
  -0.5  -0.43  -0.65   0.38 
  0.39  -0.45  -0.24  -0.77 

find 3-d Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...]
-0.26 -0.89 -0.25 
 0.69  0.53  0.42 
-0.11 -0.24 -0.86 
-0.77 -0.90  0.97 

========
Compute a new triangulation as a separate instance of Qhull
seed: 1607059686
input
-0.115  0.021  0.653 
 0.986 -0.467 -0.546 
-0.677  0.454  0.329 
 0.714 -0.538  0.598 
  -0.6 -0.823 -0.145 
-0.249 -0.131  0.431 
-0.381 -0.524 -0.957 
-0.0411  0.462  -0.88 

Voronoi diagram by the convex hull of 8 points in 4-d:

  Number of Voronoi regions: 8
  Number of Voronoi vertices: 11

Statistics for:  | qhull s d Tcv v p

  Number of points processed: 8
  Number of hyperplanes created: 28
  Number of facets in hull: 18
  Number of distance tests for qhull: 28
  CPU seconds to compute hull (after input): 0.000112

3
11
0.2360718902056146 -0.5888085789626936 -0.1250442835894829 
-0.5482907400055158 -0.02327127726172484 -0.327140652881998 
-0.4863799156707511 0.01887271847776661 -0.3449209562869143 
0.158017921135753 -0.4184394353677319 -0.2822952388338528 
0.1674627397578125 -0.2065724233348927 -0.3430980432705254 
0.4996373120835784 0.2549858454665108 -0.0813438617909511 
1.264206866334885 1.212913055128479 0.2308550026081919 
0.5215541044719944 0.1348235252239142 -0.01235429748210481 
0.1146594109894372 0.5129621211484483 -0.02571616851761382 
-4.443108531640671 -2.039454624754783 4.468369150469951 
-0.8157093399873658 -2.082173446168064 2.310565412127955 

Output completed.  Verifying that all points are below 9e-15 of
all facets.  Will make 88 distance computations.

8 vertices and 18 facets with normals:
  0.29  -0.72  -0.15  -0.61 
  0.34   0.74   0.27   0.51 
 -0.14   0.36   0.09   0.92 
 -0.18   0.17   0.24   0.94 
 -0.25  0.087   0.28   0.92 
 -0.17  -0.15   0.23   0.95 
 -0.68 -0.029   -0.4  -0.62 
 -0.62  0.024  -0.44  -0.64 
  0.22  -0.57  -0.39  -0.69 
  0.25  -0.31  -0.52  -0.76 
  0.66   0.34  -0.11  -0.66 
  0.69   0.66   0.13  -0.27 
  0.71   0.18 -0.017  -0.68 
  0.16   0.71 -0.035  -0.69 
   0.5   0.81   0.28  0.071 
 -0.67  -0.31   0.67 -0.075 
 -0.42  -0.24   0.79   0.37 
 -0.25  -0.64   0.71  -0.15 

========
Free memory allocated by the new instance of Qhull, and redisplay the old results.



8 vertices and 16 facets with normals:
  0.63   0.14   0.47    0.6 
  0.61 -0.036   -0.3  -0.73 
 -0.46   0.82   0.22   0.26 
 -0.75   0.46   0.24  -0.41 
  0.35    0.3  -0.33  -0.82 
  0.59   -0.1  0.011    0.8 
 0.052  0.092  -0.44   0.89 
 -0.48  -0.26  -0.68   0.49 
  0.62 -0.052  -0.32  -0.71 
  0.57  0.025  -0.63  -0.53 
-0.076  -0.28   0.71  -0.64 
 -0.73   0.35    0.3  -0.51 
  0.26  -0.19  0.042  -0.95 
  0.19  -0.98  0.017  0.044 
  -0.5  -0.43  -0.65   0.38 
  0.39  -0.45  -0.24  -0.77 

========
compute halfspace intersection about the origin for a diamond
input as halfspace coefficients + offsets
    -1     -1     -1     -1 
     1     -1     -1     -1 
    -1      1     -1     -1 
     1      1     -1     -1 
    -1     -1      1     -1 
     1     -1      1     -1 
    -1      1      1     -1 
     1      1      1     -1 

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 6
  Number of non-simplicial intersection points: 6

Statistics for:  | qhull H0 s Tcv Fp

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000149

3
6
     0      0     -1 
     0     -1      0 
     1      0      0 
    -1      0      0 
     0      1      0 
     0      0      1 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

8 vertices and 6 facets with normals:
    -0     -0     -1 
     0     -1      0 
     1     -0     -0 
    -1     -0     -0 
     0      1     -0 
    -0     -0      1 
user_eg2

========
user_eg2 'cube qhull options' 'Delaunay options' 'halfspace options'

This is the output from user_eg2_r.c.  It shows how qhull() may be called from
an application, via Qhull's static, reentrant library.  user_eg2 is not part
of Qhull itself. If user_eg2 fails immediately, user_eg2_r.c was incorrectly
linked to Qhull's non-reentrant library, libqhullstatic.
Try -- user_eg2 'T1' 'T1' 'T1'


========
compute triangulated convex hull of cube after rotating input

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 96 distance computations.

8 vertices and 12 facets with normals:
    -0     -0     -1 
    -0     -0     -1 
     0     -1      0 
     0     -1      0 
     1     -0     -0 
     1     -0     -0 
    -1     -0     -0 
    -1     -0     -0 
     0      1     -0 
     0      1     -0 
    -0     -0      1 
    -0     -0      1 

add points in a diamond
9 vertices and 14 facets
10 vertices and 16 facets
11 vertices and 16 facets
12 vertices and 16 facets
13 vertices and 14 facets
14 vertices and 12 facets

14 vertices and 12 facets with normals:
  0.71  -0.71     -0 
 -0.71  -0.71      0 
 -0.71   0.71     -0 
  0.71   0.71     -0 
 -0.71     -0  -0.71 
    -0   0.71  -0.71 
     0  -0.71  -0.71 
  0.71      0  -0.71 
    -0  -0.71   0.71 
 -0.71      0   0.71 
  0.71      0   0.71 
    -0   0.71   0.71 

Convex hull of 14 points in 3-d:

  Number of vertices: 14
  Number of facets: 12
  Number of non-simplicial facets: 12

Statistics for: user_eg2 cube example | qhull s Tcv Q11  

  Number of points processed: 14
  Number of hyperplanes created: 23
  Number of distance tests for qhull: 64
  Number of distance tests for merging: 276
  Number of distance tests for checking: 324
  Number of merged facets: 18
  CPU seconds to compute hull (after input): 0.00025


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 168 distance computations.

========
compute 2-d Delaunay triangulation
seed: 1607059685

8 vertices and 12 facets with normals:
 -0.54   0.44   0.71 
  0.15  -0.29   0.95 
 -0.69  -0.45  -0.56 
 -0.54   0.68    0.5 
 -0.56    0.3  -0.77 
  0.58   0.43  -0.69 
  0.95  -0.29   0.12 
  0.61   0.39  -0.69 
   0.3  -0.72  -0.63 
  0.17  -0.78  -0.61 
-0.081  -0.99 -0.098 
  -0.6  -0.56  -0.57 

Delaunay triangulation by the convex hull of 8 points in 3-d:

  Number of input sites: 8
  Number of Delaunay regions: 8

Statistics for: user_eg2 Delaunay example | qhull s d Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 18
  Number of facets in hull: 12
  Number of distance tests for qhull: 23
  CPU seconds to compute hull (after input): 7.7e-05


Output completed.  Verifying that all points are below 6.9e-15 of
all facets.  Will make 64 distance computations.

========
add points to triangulation
added point p8:        -1  -0.7369    1.543
9 points, 0 extra points, 9 vertices, and 14 facets in total
added point p9:    0.5112  -0.0827   0.2682
10 points, 0 extra points, 10 vertices, and 16 facets in total
added point p10:   0.06553  -0.5621   0.3202
11 points, 0 extra points, 11 vertices, and 18 facets in total
added point p11:   -0.9059   0.3577   0.9486
12 points, 0 extra points, 12 vertices, and 20 facets in total
added point p12:    0.3586   0.8694   0.8844
13 points, 0 extra points, 13 vertices, and 22 facets in total
added point p13:    -0.233  0.03883   0.0558
14 points, 0 extra points, 14 vertices, and 24 facets in total

find Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...]
-0.23  0.04 
 0.36  0.87 
 0.51 -0.08 

Delaunay triangulation by the convex hull of 14 points in 3-d:

  Number of input sites: 14
  Number of Delaunay regions: 18

Statistics for: user_eg2 Delaunay example | qhull s d Tcv 

  Number of points processed: 14
  Number of hyperplanes created: 46
  Number of facets in hull: 24
  Number of distance tests for qhull: 60
  CPU seconds to compute hull (after input): 7.7e-05


Output completed.  Verifying that all points are below 6.9e-15 of
all facets.  Will make 252 distance computations.

========
compute halfspace intersection about the origin for a diamond

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 6
  Number of non-simplicial intersection points: 6

Statistics for: user_eg2 halfspace example | qhull H0 s Tcv 

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000126


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

========
add halfspaces for cube to intersection
added offset -1 and normal    1.732        0        0
8 points, 1 extra points, 9 vertices, and 9 facets in total
added offset -1 and normal   -1.732        0        0
8 points, 2 extra points, 10 vertices, and 12 facets in total
added offset -1 and normal        0    1.732        0
8 points, 3 extra points, 11 vertices, and 15 facets in total
added offset -1 and normal        0   -1.732        0
8 points, 4 extra points, 12 vertices, and 18 facets in total
added offset -1 and normal        0        0    1.732
8 points, 5 extra points, 13 vertices, and 21 facets in total
added offset -1 and normal        0        0   -1.732
8 points, 6 extra points, 14 vertices, and 24 facets in total

Halfspace intersection by the convex hull of 14 points in 3-d:

  Number of halfspaces: 14
  Number of non-redundant halfspaces: 14
  Number of intersection points: 24

Statistics for: user_eg2 halfspace example | qhull H0 s Tcv 

  Number of points processed: 14
  Number of hyperplanes created: 35
  Number of distance tests for qhull: 58
  Number of distance tests for merging: 248
  Number of distance tests for checking: 256
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000126


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 192 distance computations.
user_eg2 'QR1 p'       'v p'  'Fp'

========
user_eg2 'cube qhull options' 'Delaunay options' 'halfspace options'

This is the output from user_eg2_r.c.  It shows how qhull() may be called from
an application, via Qhull's static, reentrant library.  user_eg2 is not part
of Qhull itself. If user_eg2 fails immediately, user_eg2_r.c was incorrectly
linked to Qhull's non-reentrant library, libqhullstatic.
Try -- user_eg2 'T1' 'T1' 'T1'


========
compute triangulated convex hull of cube after rotating input

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 96 distance computations.

8 vertices and 12 facets with normals:
 -0.74  -0.41  -0.52 
 -0.74  -0.41  -0.52 
  0.38  -0.91   0.17 
  0.38  -0.91   0.17 
 -0.55  -0.07   0.83 
 -0.55  -0.07   0.83 
  0.55   0.07  -0.83 
  0.55   0.07  -0.83 
  0.74   0.41   0.52 
  0.74   0.41   0.52 
 -0.38   0.91  -0.17 
 -0.38   0.91  -0.17 

add points in a diamond
9 vertices and 14 facets
10 vertices and 16 facets
11 vertices and 18 facets
12 vertices and 20 facets
13 vertices and 22 facets
14 vertices and 24 facets

14 vertices and 24 facets with normals:
 -0.67   0.63  -0.39 
  0.67  -0.63   0.39 
  -0.1  -0.71    0.7 
 -0.65  -0.65  -0.41 
 -0.62  -0.62  -0.49 
  0.63   -0.7  -0.34 
  0.65  -0.66   0.37 
 -0.65   0.66  -0.37 
   0.1   0.71   -0.7 
 -0.63    0.7   0.34 
  0.62   0.62   0.49 
  0.65   0.65   0.41 
  -0.7  -0.13   -0.7 
 -0.62  -0.49  -0.62 
  0.11    0.7  -0.71 
  0.68   0.29  -0.68 
  0.66  -0.34  -0.67 
  0.67   -0.3  -0.67 
 -0.66   0.34   0.67 
 -0.67    0.3   0.67 
  0.62   0.49   0.62 
   0.7   0.13    0.7 
 -0.11   -0.7   0.71 
 -0.68  -0.29   0.68 

Convex hull of 14 points in 3-d:

  Number of vertices: 14
  Number of facets: 24

Statistics for: user_eg2 cube example | qhull s Tcv Q11 QR1 p  QR1

  Number of points processed: 14
  Number of hyperplanes created: 46
  Number of distance tests for qhull: 68
  Number of distance tests for merging: 284
  Number of distance tests for checking: 244
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000182

3
14
0.9124763375291641 1.390833937612012 -0.4826674750136243 
-0.5764091147442416 0.565375258822974 -1.532352227508615 
-0.1847368907548403 1.250953879569599 1.183632828365285 
-1.673622343028246 0.4254952007805605 0.1339480758702939 
1.673622343028246 -0.4254952007805605 -0.1339480758702939 
0.1847368907548403 -1.250953879569599 -1.183632828365285 
0.5764091147442416 -0.565375258822974 1.532352227508615 
-0.9124763375291641 -1.390833937612012 0.4826674750136243 
    -2      0      0 
     2      0      0 
     0     -2      0 
     0      2      0 
     0      0     -2 
     0      0      2 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 192 distance computations.

========
compute 2-d Delaunay triangulation
seed: 1607059685

8 vertices and 12 facets with normals:
 -0.54   0.44   0.71 
  0.15  -0.29   0.95 
 -0.69  -0.45  -0.56 
 -0.54   0.68    0.5 
 -0.56    0.3  -0.77 
  0.58   0.43  -0.69 
  0.95  -0.29   0.12 
  0.61   0.39  -0.69 
   0.3  -0.72  -0.63 
  0.17  -0.78  -0.61 
-0.081  -0.99 -0.098 
  -0.6  -0.56  -0.57 

Voronoi diagram by the convex hull of 8 points in 3-d:

  Number of Voronoi regions: 8
  Number of Voronoi vertices: 8

Statistics for: user_eg2 Delaunay example | qhull s d Tcv v p

  Number of points processed: 8
  Number of hyperplanes created: 18
  Number of facets in hull: 12
  Number of distance tests for qhull: 23
  CPU seconds to compute hull (after input): 8e-05

2
8
-0.6172741013240231 -0.4002341895812269 
-0.3675411056767823 0.197636177953446 
0.4168837434475733 0.312397649596001 
0.4442513803852392 0.285057678123093 
0.2348800139092294 -0.5668253389988166 
0.1403987711085723 -0.6411009951915974 
-0.4170250923901087 -5.082287248699769 
-0.5257906114997322 -0.490882881290241 

Output completed.  Verifying that all points are below 6.9e-15 of
all facets.  Will make 64 distance computations.

========
add points to triangulation
added point p8:        -1  -0.7369    1.543
9 points, 0 extra points, 9 vertices, and 14 facets in total
added point p9:    0.5112  -0.0827   0.2682
10 points, 0 extra points, 10 vertices, and 16 facets in total
added point p10:   0.06553  -0.5621   0.3202
11 points, 0 extra points, 11 vertices, and 18 facets in total
added point p11:   -0.9059   0.3577   0.9486
12 points, 0 extra points, 12 vertices, and 20 facets in total
added point p12:    0.3586   0.8694   0.8844
13 points, 0 extra points, 13 vertices, and 22 facets in total
added point p13:    -0.233  0.03883   0.0558
14 points, 0 extra points, 14 vertices, and 24 facets in total

find Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...]
-0.23  0.04 
 0.36  0.87 
 0.51 -0.08 

Voronoi diagram by the convex hull of 14 points in 3-d:

  Number of Voronoi regions: 14
  Number of Voronoi vertices: 18

Statistics for: user_eg2 Delaunay example | qhull s d Tcv v p

  Number of points processed: 14
  Number of hyperplanes created: 46
  Number of facets in hull: 24
  Number of distance tests for qhull: 60
  CPU seconds to compute hull (after input): 8e-05

2
18
-0.4170250923901087 -5.082287248699769 
-0.5257906114997322 -0.490882881290241 
-0.6130477871149529 -0.390116231307651 
-0.5951129524879872 -0.4221931152039133 
1.308076650392544 0.1000517903670028 
0.1044290092242058 -0.9276843700405806 
-0.2802741738887812 -0.5462440400725956 
0.4068057588041155 -0.6389829897143039 
0.2234952258245631 -0.2620749248472874 
0.3586006593231674 -0.3876809879791544 
-2.504041683880862 -0.05629784421741563 
0.6474658226406815 0.4274167223774284 
-0.5603525621779919 -0.2639618422220968 
-0.5352212831224898 0.2705152637443168 
-0.4937999043001395 0.3579199462986738 
0.1481977518398122 0.03373145091447076 
0.171329370326311 0.376804583107253 
0.2007957323480979 0.3558162000371691 

Output completed.  Verifying that all points are below 6.9e-15 of
all facets.  Will make 252 distance computations.

========
compute halfspace intersection about the origin for a diamond

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 6
  Number of non-simplicial intersection points: 6

Statistics for: user_eg2 halfspace example | qhull H0 s Tcv Fp

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000134

3
6
     0      0     -1 
     0     -1      0 
     1      0      0 
    -1      0      0 
     0      1      0 
     0      0      1 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

========
add halfspaces for cube to intersection
added offset -1 and normal    1.732        0        0
8 points, 1 extra points, 9 vertices, and 9 facets in total
added offset -1 and normal   -1.732        0        0
8 points, 2 extra points, 10 vertices, and 12 facets in total
added offset -1 and normal        0    1.732        0
8 points, 3 extra points, 11 vertices, and 15 facets in total
added offset -1 and normal        0   -1.732        0
8 points, 4 extra points, 12 vertices, and 18 facets in total
added offset -1 and normal        0        0    1.732
8 points, 5 extra points, 13 vertices, and 21 facets in total
added offset -1 and normal        0        0   -1.732
8 points, 6 extra points, 14 vertices, and 24 facets in total

Halfspace intersection by the convex hull of 14 points in 3-d:

  Number of halfspaces: 14
  Number of non-redundant halfspaces: 14
  Number of intersection points: 24

Statistics for: user_eg2 halfspace example | qhull H0 s Tcv Fp

  Number of points processed: 14
  Number of hyperplanes created: 35
  Number of distance tests for qhull: 58
  Number of distance tests for merging: 248
  Number of distance tests for checking: 256
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000134

3
24
0.5773502691896257      0 -0.4226497308103742 
0.5773502691896257 -0.4226497308103742      0 
0.5773502691896257 0.4226497308103742      0 
0.5773502691896257      0 0.4226497308103742 
-0.5773502691896257      0 -0.4226497308103742 
-0.5773502691896257 -0.4226497308103742      0 
-0.5773502691896257      0 0.4226497308103742 
-0.5773502691896257 0.4226497308103742      0 
     0 0.5773502691896257 -0.4226497308103742 
0.4226497308103742 0.5773502691896257      0 
-0.4226497308103742 0.5773502691896257      0 
     0 0.5773502691896257 0.4226497308103742 
     0 -0.5773502691896257 -0.4226497308103742 
-0.4226497308103742 -0.5773502691896257      0 
     0 -0.5773502691896257 0.4226497308103742 
0.4226497308103742 -0.5773502691896257      0 
     0 -0.4226497308103742 0.5773502691896257 
0.4226497308103742      0 0.5773502691896257 
     0 0.4226497308103742 0.5773502691896257 
-0.4226497308103742      0 0.5773502691896257 
-0.4226497308103742      0 -0.5773502691896257 
     0 -0.4226497308103742 -0.5773502691896257 
     0 0.4226497308103742 -0.5773502691896257 
0.4226497308103742      0 -0.5773502691896257 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 192 distance computations.
user_eg3

========
user_eg3 commands... -- demonstrate calling rbox and qhull from C++.

user_eg3 is statically linked to qhullcpp and reentrant qhull.  If user_eg3
fails immediately, it is probably linked to the non-reentrant qhull library.

Commands:
  eg-100               Run the example in qh-code.htm
  eg-convex            'rbox d | qconvex o' with std::vector and C++ classes
  eg-delaunay          'rbox y c | qdelaunay o' with std::vector and C++ classes
  eg-voronoi           'rbox y c | qvoronoi o' with std::vector and C++ classes
  eg-fifo              'rbox y c | qvoronoi FN Fi Fo' with QhullUser and qh_fprintf

Rbox and Qhull commands:
  rbox "200 D4" ...    Generate points from rbox
  qhull "d p" ...      Run qhull with options and produce output
  qhull-cout "o" ...   Run qhull with options and produce output to cout
  qhull "T1" ...       Run qhull with level-1 trace to cerr
  qhull-cout "T1z" ... Run qhull with level-1 trace to cout
  facets               Print qhull's facets when done

For example
  user_eg3 rbox qhull
  user_eg3 rbox qhull T1
  user_eg3 rbox qhull d
  user_eg3 rbox D2 10 2 "s r 5" qhull "s p" facets
  user_eg3 eg-convex
  user_eg3 rbox 10 eg-delaunay qhull "d o"
  user_eg3 rbox D5 c P2 qhull d eg-delaunay
  user_eg3 rbox "D5 c P2" qhull v eg-voronoi o
  user_eg3 rbox D2 10 qhull "v" eg-fifo p Fi Fo
user_eg3 eg-100
- f24
    - flags: bottom simplicial
    - normal:  -0.721696 -0.658796 -0.212466
    - offset:  -0.549277
    - vertices: p40(v10) p27(v7) p0(v1)
    - neighboring facets: f34 f47 f54
- f32
    - flags: top simplicial
    - normal:  0.389612 -0.428663 0.815138
    - offset:  -0.449315
    - vertices: p22(v12) p13(v6) p82(v2)
    - neighboring facets: f61 f72 f77
- f34
    - flags: top simplicial
    - normal:  -0.452613 -0.760661 0.465335
    - offset:  -0.62552
    - vertices: p22(v12) p27(v7) p0(v1)
    - neighboring facets: f24 f80 f73
- f38
    - flags: top simplicial
    - normal:  0.998285 0.058513 -0.00174787
    - offset:  -0.477764
    - vertices: p90(v13) p48(v8) p82(v2)
    - neighboring facets: f100 f97 f57
- f46
    - flags: bottom simplicial
    - normal:  -0.406035 0.904011 0.133791
    - offset:  -0.547585
    - vertices: p73(v15) p76(v9) p97(v5)
    - neighboring facets: f51 f87 f82
- f47
    - flags: bottom simplicial
    - normal:  -0.992416 -0.0122817 -0.122308
    - offset:  -0.469463
    - vertices: p73(v15) p40(v10) p0(v1)
    - neighboring facets: f24 f81 f88
- f49
    - flags: top simplicial
    - normal:  -0.107843 0.991034 0.0788761
    - offset:  -0.50132
    - vertices: p21(v16) p97(v5) p29(v3)
    - neighboring facets: f116 f66 f51
- f51
    - flags: top simplicial
    - normal:  -0.177935 0.975873 0.126537
    - offset:  -0.506339
    - vertices: p21(v16) p76(v9) p97(v5)
    - neighboring facets: f46 f49 f67
- f52
    - flags: top simplicial
    - normal:  -0.378163 -0.891276 -0.250241
    - offset:  -0.526009
    - vertices: p98(v17) p27(v7) p83(v4)
    - neighboring facets: f75 f53 f54
- f53
    - flags: bottom simplicial
    - normal:  -0.430163 -0.821913 -0.373389
    - offset:  -0.546784
    - vertices: p98(v17) p40(v10) p83(v4)
    - neighboring facets: f108 f52 f54
- f54
    - flags: top simplicial
    - normal:  -0.548096 -0.791241 -0.271162
    - offset:  -0.537299
    - vertices: p98(v17) p40(v10) p27(v7)
    - neighboring facets: f24 f52 f53
- f57
    - flags: bottom simplicial
    - normal:  0.974428 0.137974 -0.177349
    - offset:  -0.521881
    - vertices: p19(v18) p90(v13) p48(v8)
    - neighboring facets: f38 f60 f113
- f59
    - flags: bottom simplicial
    - normal:  0.239508 -0.0103785 -0.970839
    - offset:  -0.517616
    - vertices: p19(v18) p4(v14) p83(v4)
    - neighboring facets: f76 f110 f60
- f60
    - flags: top simplicial
    - normal:  0.567061 -0.0365561 -0.822865
    - offset:  -0.572132
    - vertices: p19(v18) p4(v14) p48(v8)
    - neighboring facets: f85 f57 f59
- f61
    - flags: bottom simplicial
    - normal:  0.433241 -0.284128 0.855321
    - offset:  -0.426268
    - vertices: p37(v19) p13(v6) p82(v2)
    - neighboring facets: f32 f69 f95
- f65
    - flags: top simplicial
    - normal:  -0.198254 0.211674 0.957021
    - offset:  -0.497913
    - vertices: p67(v20) p12(v11) p76(v9)
    - neighboring facets: f79 f67 f68
- f66
    - flags: top simplicial
    - normal:  -0.155514 0.97946 0.128347
    - offset:  -0.504016
    - vertices: p67(v20) p21(v16) p29(v3)
    - neighboring facets: f49 f71 f67
- f67
    - flags: bottom simplicial
    - normal:  -0.16055 0.978089 0.132539
    - offset:  -0.504235
    - vertices: p67(v20) p21(v16) p76(v9)
    - neighboring facets: f51 f65 f66
- f68
    - flags: top simplicial
    - normal:  0.598999 -0.0537935 0.798941
    - offset:  -0.457967
    - vertices: p67(v20) p37(v19) p12(v11)
    - neighboring facets: f96 f65 f69
- f69
    - flags: bottom simplicial
    - normal:  0.69477 -0.0317528 0.718531
    - offset:  -0.45153
    - vertices: p67(v20) p37(v19) p82(v2)
    - neighboring facets: f61 f98 f68
- f71
    - flags: bottom simplicial
    - normal:  0.877687 0.308225 0.366966
    - offset:  -0.494379
    - vertices: p67(v20) p90(v13) p29(v3)
    - neighboring facets: f115 f66 f99
- f72
    - flags: top simplicial
    - normal:  0.245263 -0.887198 0.390801
    - offset:  -0.480731
    - vertices: p41(v21) p22(v12) p82(v2)
    - neighboring facets: f32 f74 f73
- f73
    - flags: bottom simplicial
    - normal:  0.0168085 -0.963019 0.268908
    - offset:  -0.510609
    - vertices: p41(v21) p22(v12) p27(v7)
    - neighboring facets: f34 f75 f72
- f74
    - flags: bottom simplicial
    - normal:  0.227082 -0.964773 0.132845
    - offset:  -0.464868
    - vertices: p41(v21) p4(v14) p82(v2)
    - neighboring facets: f84 f72 f76
- f75
    - flags: bottom simplicial
    - normal:  0.0345717 -0.998303 0.0468616
    - offset:  -0.47919
    - vertices: p41(v21) p27(v7) p83(v4)
    - neighboring facets: f52 f76 f73
- f76
    - flags: top simplicial
    - normal:  0.137757 -0.987556 0.0758723
    - offset:  -0.471349
    - vertices: p41(v21) p4(v14) p83(v4)
    - neighboring facets: f59 f75 f74
- f77
    - flags: bottom simplicial
    - normal:  -0.323398 -0.00535492 0.946248
    - offset:  -0.501516
    - vertices: p15(v22) p22(v12) p13(v6)
    - neighboring facets: f32 f78 f80
- f78
    - flags: top simplicial
    - normal:  -0.20543 0.0915675 0.974379
    - offset:  -0.474687
    - vertices: p15(v22) p12(v11) p13(v6)
    - neighboring facets: f94 f77 f79
- f79
    - flags: bottom simplicial
    - normal:  -0.218614 0.160888 0.962457
    - offset:  -0.484859
    - vertices: p15(v22) p12(v11) p76(v9)
    - neighboring facets: f65 f82 f78
- f80
    - flags: top simplicial
    - normal:  -0.593167 -0.119334 0.796186
    - offset:  -0.544059
    - vertices: p15(v22) p22(v12) p0(v1)
    - neighboring facets: f34 f81 f77
- f81
    - flags: bottom simplicial
    - normal:  -0.974282 0.088044 0.20742
    - offset:  -0.50771
    - vertices: p15(v22) p73(v15) p0(v1)
    - neighboring facets: f47 f80 f82
- f82
    - flags: top simplicial
    - normal:  -0.826328 0.394399 0.402034
    - offset:  -0.559684
    - vertices: p15(v22) p73(v15) p76(v9)
    - neighboring facets: f46 f79 f81
- f84
    - flags: top simplicial
    - normal:  0.82988 -0.542609 -0.129903
    - offset:  -0.585213
    - vertices: p57(v23) p4(v14) p82(v2)
    - neighboring facets: f74 f101 f85
- f85
    - flags: bottom simplicial
    - normal:  0.906692 -0.29884 -0.297664
    - offset:  -0.57209
    - vertices: p57(v23) p4(v14) p48(v8)
    - neighboring facets: f60 f102 f84
- f86
    - flags: top simplicial
    - normal:  -0.85363 0.243861 -0.460269
    - offset:  -0.522928
    - vertices: p11(v24) p40(v10) p97(v5)
    - neighboring facets: f89 f87 f88
- f87
    - flags: bottom simplicial
    - normal:  -0.890339 0.291001 -0.350165
    - offset:  -0.531756
    - vertices: p11(v24) p73(v15) p97(v5)
    - neighboring facets: f46 f86 f88
- f88
    - flags: top simplicial
    - normal:  -0.987894 0.0156004 -0.154345
    - offset:  -0.477251
    - vertices: p11(v24) p73(v15) p40(v10)
    - neighboring facets: f47 f86 f87
- f89
    - flags: bottom simplicial
    - normal:  -0.492188 0.332666 -0.804416
    - offset:  -0.526118
    - vertices: p25(v25) p40(v10) p97(v5)
    - neighboring facets: f86 f114 f109
- f94
    - flags: bottom simplicial
    - normal:  0.368779 -0.208614 0.905805
    - offset:  -0.440207
    - vertices: p7(v26) p12(v11) p13(v6)
    - neighboring facets: f78 f95 f96
- f95
    - flags: top simplicial
    - normal:  0.417114 -0.259346 0.871066
    - offset:  -0.429768
    - vertices: p7(v26) p37(v19) p13(v6)
    - neighboring facets: f61 f94 f96
- f96
    - flags: bottom simplicial
    - normal:  0.469304 -0.162419 0.867971
    - offset:  -0.446808
    - vertices: p7(v26) p37(v19) p12(v11)
    - neighboring facets: f68 f94 f95
- f97
    - flags: top simplicial
    - normal:  0.911891 0.1675 0.374697
    - offset:  -0.446013
    - vertices: p28(v27) p90(v13) p82(v2)
    - neighboring facets: f38 f98 f99
- f98
    - flags: bottom simplicial
    - normal:  0.888791 0.148029 0.433749
    - offset:  -0.448933
    - vertices: p28(v27) p67(v20) p82(v2)
    - neighboring facets: f69 f97 f99
- f99
    - flags: top simplicial
    - normal:  0.903592 0.183305 0.387197
    - offset:  -0.447956
    - vertices: p28(v27) p67(v20) p90(v13)
    - neighboring facets: f71 f97 f98
- f100
    - flags: bottom simplicial
    - normal:  0.93763 -0.294784 -0.184262
    - offset:  -0.546054
    - vertices: p42(v28) p48(v8) p82(v2)
    - neighboring facets: f38 f101 f102
- f101
    - flags: top simplicial
    - normal:  0.933493 -0.306605 -0.185968
    - offset:  -0.547862
    - vertices: p42(v28) p57(v23) p82(v2)
    - neighboring facets: f84 f100 f102
- f102
    - flags: bottom simplicial
    - normal:  0.928146 -0.300441 -0.219729
    - offset:  -0.55469
    - vertices: p42(v28) p57(v23) p48(v8)
    - neighboring facets: f85 f100 f101
- f108
    - flags: top simplicial
    - normal:  0.00135876 0.0103445 -0.999946
    - offset:  -0.494086
    - vertices: p5(v30) p40(v10) p83(v4)
    - neighboring facets: f53 f110 f109
- f109
    - flags: top simplicial
    - normal:  -0.106214 0.129184 -0.985916
    - offset:  -0.504323
    - vertices: p5(v30) p25(v25) p40(v10)
    - neighboring facets: f89 f108 f111
- f110
    - flags: bottom simplicial
    - normal:  0.125474 0.0262996 -0.991748
    - offset:  -0.496467
    - vertices: p5(v30) p19(v18) p83(v4)
    - neighboring facets: f59 f108 f111
- f111
    - flags: bottom simplicial
    - normal:  0.0358445 0.163534 -0.985886
    - offset:  -0.514407
    - vertices: p5(v30) p25(v25) p19(v18)
    - neighboring facets: f112 f110 f109
- f112
    - flags: top simplicial
    - normal:  0.0769357 0.958704 -0.273801
    - offset:  -0.543222
    - vertices: p78(v31) p25(v25) p19(v18)
    - neighboring facets: f111 f113 f114
- f113
    - flags: top simplicial
    - normal:  0.129005 0.982313 -0.135717
    - offset:  -0.512909
    - vertices: p78(v31) p19(v18) p90(v13)
    - neighboring facets: f57 f115 f112
- f114
    - flags: bottom simplicial
    - normal:  -0.0450665 0.957786 -0.283929
    - offset:  -0.551711
    - vertices: p78(v31) p25(v25) p97(v5)
    - neighboring facets: f89 f116 f112
- f115
    - flags: top simplicial
    - normal:  0.102483 0.993113 -0.0567803
    - offset:  -0.497056
    - vertices: p78(v31) p90(v13) p29(v3)
    - neighboring facets: f71 f116 f113
- f116
    - flags: bottom simplicial
    - normal:  -0.00662022 0.999903 -0.0122926
    - offset:  -0.49314
    - vertices: p78(v31) p97(v5) p29(v3)
    - neighboring facets: f49 f115 f114
user_eg3 eg-convex

A 3-d diamond (rbox d)
3 rbox "d"
6
0 0 -0.5 
0 0 0.5 
0 -0.5 0 
0 0.5 0 
-0.5 0 0 
0.5 0 0 

Input points and facetlist of its convex hull (qhull o)
3
6 8 12
     0      0   -0.5 
     0      0    0.5 
     0   -0.5      0 
     0    0.5      0 
  -0.5      0      0 
   0.5      0      0 
3 2 0 4 
3 0 2 5 
3 1 2 4 
3 2 1 5 
3 3 0 5 
3 0 3 4 
3 1 3 5 
3 3 1 4 

Input points and facetlist using std::vector and C++ classes
3
6 8 12
     0      0   -0.5
     0      0    0.5
     0   -0.5      0
     0    0.5      0
  -0.5      0      0
   0.5      0      0
3 2 0 4 
3 0 2 5 
3 1 2 4 
3 2 1 5 
3 3 0 5 
3 0 3 4 
3 1 3 5 
3 3 1 4 

Its outward pointing normals as vector plus offset (qhull n)
4
8
-0.5773502691896258 -0.5773502691896258 -0.5773502691896258 -0.2886751345948129 
0.5773502691896258 -0.5773502691896258 -0.5773502691896258 -0.2886751345948129 
-0.5773502691896258 -0.5773502691896258 0.5773502691896258 -0.2886751345948129 
0.5773502691896258 -0.5773502691896258 0.5773502691896258 -0.2886751345948129 
0.5773502691896258 0.5773502691896258 -0.5773502691896258 -0.2886751345948129 
-0.5773502691896258 0.5773502691896258 -0.5773502691896258 -0.2886751345948129 
0.5773502691896258 0.5773502691896258 0.5773502691896258 -0.2886751345948129 
-0.5773502691896258 0.5773502691896258 0.5773502691896258 -0.2886751345948129 
user_eg3 eg-delaunay

A 2-d triangle in a square (rbox y c D2)
2 rbox "y c D2"
7
0.0795233 -0.451105 
0.279706 0.0133225 
-0.0888864 0.0861965 
-0.5 -0.5 
-0.5 0.5 
0.5 -0.5 
0.5 0.5 

The 2-d input sites are lifted to a 3-d paraboloid.
A Delaunay region is a facet of the paraboloid's convex hull.

The Delaunay triangulation as input sites and Delaunay regions (qhull d o)
3
7 8 12
0.07952334739223432 -0.4511049142583319 0.209819606448483 
0.2797056779076398 0.01332249167684696 0.07841275503825199 
-0.08888640449278651 0.08619647248293871 0.01533062477215727 
  -0.5   -0.5    0.5 
  -0.5    0.5    0.5 
   0.5   -0.5    0.5 
   0.5    0.5    0.5 
3 2 4 3 
3 2 6 4 
3 5 0 3 
3 0 2 3 
3 6 1 5 
3 1 6 2 
3 1 0 5 
3 0 1 2 

The same results using std::vector and C++ classes
3
7 8 12
0.0795233 -0.451105 0.20982 
0.279706 0.0133225 0.0784128 
-0.0888864 0.0861965 0.0153306 
-0.5 -0.5 0.5 
-0.5 0.5 0.5 
0.5 -0.5 0.5 
0.5 0.5 0.5 
3 2 4 3 
3 2 6 4 
3 5 0 3 
3 0 2 3 
3 6 1 5 
3 1 6 2 
3 1 0 5 
3 0 1 2 
user_eg3 eg-voronoi

A 2-d triangle in a square (rbox y c D2)
2 rbox "y c D2"
7
0.0795233 -0.451105 
0.279706 0.0133225 
-0.0888864 0.0861965 
-0.5 -0.5 
-0.5 0.5 
0.5 -0.5 
0.5 0.5 

Its Voronoi diagram as vertices and regions (qhull v o)
The Voronoi diagram is the dual of the Delaunay triangulation
Voronoi vertices are Delaunay regions, and Voronoi regions are Delaunay input sites
The Voronoi vertex at infinity is represented as '-10.101 -10.101'
2
9 7 1
-10.101 -10.101 
-0.5894591914795221 -2.775557561562891e-17 
     0 0.5856274089010268 
-1.387778780781446e-17 -2.967377898513707 
-0.2290343684408742 -0.2527745420948135 
0.9568726986640038 2.081668171172169e-17 
0.1571419516493774 0.3619977084558904 
0.3129256373384354 -0.2763523586794005 
0.05307821633938364 -0.1643502208872393 
4 8 4 3 7
4 8 6 5 7
5 8 4 1 2 6
4 4 1 0 3
3 2 0 1
4 7 3 0 5
4 6 2 0 5

The same results using std::vector and C++ classes
Qhull::prepareVoronoi assigns facetT.visit_id and vertexT.neighbors
The Voronoi regions are rotated by one Voronoi vertex (prepareVoronoi occurs twice)
2
9 7 1
-10.101 -10.101 
-0.589459 -2.77556e-17 
0 0.585627 
-1.38778e-17 -2.96738 
-0.229034 -0.252775 
0.956873 2.08167e-17 
0.157142 0.361998 
0.312926 -0.276352 
0.0530782 -0.16435 
4 7 8 4 3
4 7 8 6 5
5 6 8 4 1 2
4 3 4 1 0
3 1 2 0
4 5 7 3 0
4 5 6 2 0
user_eg3 eg-fifo

A 2-d triangle in a square (rbox y c D2)
2 rbox "y c D2"
7
0.0795233 -0.451105 
0.279706 0.0133225 
-0.0888864 0.0861965 
-0.5 -0.5 
-0.5 0.5 
0.5 -0.5 
0.5 0.5 

Its Voronoi vertices (qhull v p)
This is the first part of eg-voronoi, but without infinity
2
8
-0.5894591914795221 -2.775557561562891e-17 
     0 0.5856274089010268 
-1.387778780781446e-17 -2.967377898513707 
-0.2290343684408742 -0.2527745420948135 
0.9568726986640038 2.081668171172169e-17 
0.1571419516493774 0.3619977084558904 
0.3129256373384354 -0.2763523586794005 
0.05307821633938364 -0.1643502208872393 

Its Voronoi regions (qhull v FN)
This is the second part of eg-voronoi, with ids one less
Regions are ordered by the corresponding input site.
7
4 7 3 2 6
4 7 5 4 6
5 7 3 0 1 5
4 3 0 -1 2
3 1 -1 0
4 6 2 -1 4
4 5 1 -1 4

The same results as 'qhull v p FN' using std::vector and C++ classes
Qhull::prepareVoronoi assigns facet.visit_id and vertex.neighbors
prepareVoronoi is also called by q.outputQhull("FN"), hence the rotated vertices
2
8
-0.589459 -2.77556e-17 
0 0.585627 
-1.38778e-17 -2.96738 
-0.229034 -0.252775 
0.956873 2.08167e-17 
0.157142 0.361998 
0.312926 -0.276352 
0.0530782 -0.16435 
7
4 6 7 3 2
4 6 7 5 4
5 5 7 3 0 1
4 2 3 0 -1
3 0 1 -1
4 4 6 2 -1
4 4 5 1 -1

Hyperplanes for bounded facets between Voronoi regions (qhull v Fi)
Each hyperplane is the perpendicular bisector of 2 input sites.
10
5 0 1 0.3958261856523667 0.9183254492563615 0.1299172425168069 
5 0 5 0.9933067158065388 -0.1155065726858348 -0.3427516509210134 
5 0 2 -0.2990888272252211 0.954225273941663 0.1727022360246516 
5 0 3 -0.9964596398753636 -0.08407250501478321 -0.2494748932535505 
5 1 5 0.3943714145865591 -0.9189511343684148 -0.3773632397513814 
5 1 2 -0.9810105005095815 0.1939546284313432 0.08394677360204827 
5 1 6 0.4123709353479589 0.9110160326142727 -0.3945864897570009 
5 2 6 0.8181972788475073 0.5749375730342683 -0.3366992011759034 
5 2 3 -0.574189571650573 -0.8187223801800775 -0.3384613206611199 
5 2 4 -0.7047972640762143 0.7094087795838752 -0.4154492254393445 

Hyperplanes for unbounded rays of unbounded facets (qhull v Fo)
Each ray goes through the midpoint of 2 input sites, oriented outwards
4
5 3 5      1 -5.624508437144599e-18 -2.812254218572297e-18 
5 3 4 -3.10259629632159e-16      1 -1.551298148160795e-16 
5 4 6      1     -0     -0 
5 5 6 -4.55634179336919e-17      1 2.278170896684595e-17 

The same result as 'qhull v Fi' using QhullUser and its custom qh_fprintf
qh_fprintf captures the output from qh_eachvoronoi in io_r.c (qhull v Fi Fo Ta)
10
5 0 1  0.395826 0.918325 0.129917 
5 0 5  0.993307 -0.115507 -0.342752 
5 0 2  -0.299089 0.954225 0.172702 
5 0 3  -0.99646 -0.0840725 -0.249475 
5 1 5  0.394371 -0.918951 -0.377363 
5 1 2  -0.981011 0.193955 0.0839468 
5 1 6  0.412371 0.911016 -0.394586 
5 2 6  0.818197 0.574938 -0.336699 
5 2 3  -0.57419 -0.818722 -0.338461 
5 2 4  -0.704797 0.709409 -0.415449 

The same result as 'qhull v Fo' using QhullUser and its custom qh_fprintf
4
5 3 5       1 -5.62451e-18 -2.81225e-18 
5 3 4  -3.1026e-16      1 -1.5513e-16 
5 4 6       1     -0     -0 
5 5 6  -4.55634e-17      1 2.27817e-17 

Message codes captured by qh_fprintf in QhullUser.cpp (qhull v Fo Ta):
9231 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 
user_eg3 rbox qhull

Results of qhull

Convex hull of 10 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox "10 D2" | qhull 

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 51
  CPU seconds to compute hull (after input): 7.3e-05

user_eg3 rbox qhull T1

Results of T1
[QH0013]qh_initqhull_globals: for rbox "10 D2" | qhull T1
qh_meminitbuffers: memory initialized with alignment 8
qh_maxmin: dim             min             max           width    nearzero  min-point  max-point
             0 -4.28543191e-01  3.79031236e-01  8.07574428e-01  7.6125e-15  p1         p4
             1 -4.97972782e-01  4.74582647e-01  9.72555429e-01  1.6458e-14  p0         p1
qh_maxmin: found the max and min points (by dim): p1 p4 p0 p1
[QH1002]qh_maxsimplex: selected point p0 for 3`th initial vertex, det=0.7462, targetdet=0.7854, mindet=0.007854
[QH1028]qh_createsimplex: created simplex
qh_initialhull: qh.interior_point p-2:  -0.02391   0.1182
[QH1027]qh_checkpolygon: check all facets from f1, qh.NEWtentative? 0
[QH1064]qh_checkconvex: check that facets are not-flipped and for qh.ZEROcentrum that simplicial vertices are below their neighbor (dist<0.0)
qh_initialhull: simplex constructed
[QH1042]qh_partitionall: partition all points into outside sets

Trace level T0, IStracing 1, point TP-3, merge TM0, dist TW1.8e+308, qh.tracefacet_id -1, traceridge_id -1, tracevertex_id -1, last qh.RERUN 0, rbox "10 D2" | qhull T1
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950297476  _pre-merge  _zero-centrum  _max-width 0.97
  Error-roundoff 4.3e-16  _one-merge 2.1e-15  _near-inside 1.1e-14
  Visible-distance 8.5e-16  U-max-coplanar 8.5e-16  Width-outside 1.7e-15
  _wide-facet 5.1e-15
[QH1029]qh_furthestnext: made f3 next facet(dist 0.19)
[QH1030]qh_initbuild: initial hull created and points partitioned
[QH1037]qh_buildhull: start build hull
[QH1049]qh_addpoint: add p8(v4) 0.19 above f3 to hull of 3 facets, 0 merges, 3 outside at 0.000111 CPU secs.  Previous p-1(v3) delta 0.000111 CPU, 3 facets, 0 merges, 3 hyperplanes, 61 distplanes, 0 retries
[QH1040]qh_findhorizon: find horizon for point p8 facet f3
[QH1041]qh_findhorizon: 2 horizon facets(good 2), 1 visible(good 1), 0 coplanar
[QH1032]qh_makenewfacets: created 2 new facets f4..f5 from point p8 to horizon
[QH1019]qh_matchnewfacets: match neighbors for new facets.
[QH1043]qh_partitionvisible: partitioned 2 points from outsidesets, 0 points from coplanarsets, and 0 deleted vertices
[QH1018]qh_deletevisible: delete 1 visible facets and 0 vertices
[QH1039]qh_buildhull: completed the hull construction
[QH1036]Qhull: algorithm completed
[QH1027]qh_checkpolygon: check all facets from f1, qh.NEWtentative? 0
[QH1064]qh_checkconvex: check that facets are not-flipped and for qh.ZEROcentrum that simplicial vertices are below their neighbor (dist<0.0)

Convex hull of 10 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox "10 D2" | qhull T1

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 51
  CPU seconds to compute hull (after input): 0.00015

user_eg3 rbox qhull d

Results of d

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 14

Statistics for: rbox "10 D2" | qhull d

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of facets in hull: 16
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000109

user_eg3 rbox y c
rbox y
rbox c
3 rbox "y" "c"
12
-0.306292 0.149266 -0.289011 
-0.409906 -0.282924 -0.0983473 
0.0770774 0.440163 -0.185531 
-0.212802 0.438723 -0.375664 
-0.5 -0.5 -0.5 
-0.5 -0.5 0.5 
-0.5 0.5 -0.5 
-0.5 0.5 0.5 
0.5 -0.5 -0.5 
0.5 -0.5 0.5 
0.5 0.5 -0.5 
0.5 0.5 0.5 
user_eg3 rbox D2 10 2 "s r 5"  qhull 's p' facets
rbox D2
rbox 10
rbox 2
rbox s r 5

Results of s p

Convex hull of 17 points in 2-d:

  Number of vertices: 7
  Number of facets: 7

Statistics for: rbox "10 D2" "2 D2" "s r 5 D2" | qhull s p

  Number of points processed: 7
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 78
  CPU seconds to compute hull (after input): 8.9e-05

2
7
-0.02222276248244826 -0.4979727817680433 
-0.4285431913366012 0.4745826469497594 
0.3790312361708201 0.3779794437605696 
0.1545084971874737 0.4755282581475768 
-0.4045084971874738 -0.2938926261462365 
0.1545084971874736 -0.4755282581475768 
   0.5 -1.224646799147353e-16 

Facets created by Qhull::runQhull()
- f5
    - flags: bottom simplicial
    - normal:  0.952413 0.304811
    - offset:  -0.476206
    - vertices: p4(v4) p16(v2)
    - neighboring facets: f8 f11
- f6
    - flags: bottom simplicial
    - normal:  -0.999511 -0.0312605
    - offset:  -0.413498
    - vertices: p14(v5) p1(v1)
    - neighboring facets: f10 f7
- f7
    - flags: top simplicial
    - normal:  -0.470938 -0.882167
    - offset:  -0.44976
    - vertices: p14(v5) p0(v3)
    - neighboring facets: f9 f6
- f8
    - flags: top simplicial
    - normal:  0.809017 -0.587785
    - offset:  -0.404508
    - vertices: p15(v6) p16(v2)
    - neighboring facets: f5 f9
- f9
    - flags: bottom simplicial
    - normal:  0.125986 -0.992032
    - offset:  -0.491205
    - vertices: p15(v6) p0(v3)
    - neighboring facets: f7 f8
- f10
    - flags: top simplicial
    - normal:  -0.00162183 0.999999
    - offset:  -0.475277
    - vertices: p12(v7) p1(v1)
    - neighboring facets: f6 f11
- f11
    - flags: bottom simplicial
    - normal:  0.398486 0.917174
    - offset:  -0.497712
    - vertices: p12(v7) p4(v4)
    - neighboring facets: f5 f10
user_eg3 rbox "10 D2" eg-convex
rbox 10 D2

Input points and facetlist for convex hull of rbox "10 D2" via C++ classes
2
10 4 4
-0.0222228 -0.497973
-0.428543 0.474583
0.31054 0.240018
-0.0188396 0.363026
0.379031 0.377979
-0.299496 0.377661
0.347182 0.0836553
-0.0048582 0.348268
0.344312 -0.143731
0.309331 -0.077581
2 4 1 
2 1 0 
2 8 4 
2 0 8 
user_eg3 rbox '10 D2' qhull s eg-convex
rbox 10 D2

Results of s

Convex hull of 10 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox "10 D2" | qhull s

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 51
  CPU seconds to compute hull (after input): 6.9e-05


Input points and facetlist for 'qhull s' via C++ classes
2
10 4 4
-0.0222228 -0.497973
-0.428543 0.474583
0.31054 0.240018
-0.0188396 0.363026
0.379031 0.377979
-0.299496 0.377661
0.347182 0.0836553
-0.0048582 0.348268
0.344312 -0.143731
0.309331 -0.077581
2 4 1 
2 1 0 
2 8 4 
2 0 8 
user_eg3 rbox 10 eg-delaunay qhull 'd o'
rbox 10

Delaunay triangulation of 10 points as 4-d paraboloid via C++ classes
4
10 15 30
-0.374949 0.224726 -0.0378235 0.192519 
0.300492 0.369454 0.421096 0.404114 
0.364148 0.233952 0.0348979 0.188555 
-0.470713 -0.281065 0.135495 0.318928 
0.264275 -0.326571 0.317506 0.2773 
0.318323 0.0506033 0.489822 0.343815 
0.433436 -0.248039 0.203767 0.290911 
-0.285595 -0.00222701 -0.42931 0.265876 
-0.40759 -0.362593 -0.0978938 0.307186 
-0.301385 -0.378685 0.434172 0.422741 
4 5 2 1 6 
4 5 4 2 6 
4 2 4 7 6 
4 4 0 5 2 
4 0 5 2 1 
4 0 4 9 3 
4 4 0 9 5 
4 0 9 5 1 
4 4 8 7 6 
4 4 8 9 3 
4 8 0 7 3 
4 0 8 4 3 
4 4 8 2 7 
4 8 0 2 7 
4 8 0 4 2 

Results of d o
4
10 15 30
-0.374949442106252 0.2247255418679914 -0.03782349642163468 0.1925192701852094 
0.3004920247946792 0.3694544596313075 0.4210962191420572 0.4041140804824029 
0.3641479121187217 0.2339522165562512 0.03489791698278666 0.1885552061417448 
-0.4707134565997063 -0.2810653003687648 0.1354949890035158 0.3189277533404903 
0.2642752088273644 -0.3265712199048802 0.3175057017407433 0.2773000183087906 
0.3183227589524563 0.05060330969337679 0.4898217078203537 0.3438153792710754 
0.4334355904100794 -0.2480392830893763 0.2037671452423252 0.2909109464698327 
-0.2855954200826543 -0.002227006947833121 -0.4293096679535784 0.2658764945305452 
-0.4075898489985521 -0.3625928418362446 -0.09789381697577781 0.3071862533596335 
-0.3013850588364387 -0.3786854184034145 0.4341719447953365 0.4227408774485775 
4 5 2 1 6 
4 5 4 2 6 
4 2 4 7 6 
4 4 0 5 2 
4 0 5 2 1 
4 0 4 9 3 
4 4 0 9 5 
4 0 9 5 1 
4 4 8 7 6 
4 4 8 9 3 
4 8 0 7 3 
4 0 8 4 3 
4 4 8 2 7 
4 8 0 2 7 
4 8 0 4 2 
user_eg3 rbox D5 c P2 qhull d eg-delaunay
rbox D5
rbox c
rbox P2

Results of d

Delaunay triangulation by the convex hull of 33 points in 6-d:

  Number of input sites: 33
  Number of Delaunay regions: 2
  Number of non-simplicial Delaunay regions: 2

Statistics for: rbox "c D5" "P2 D5" | qhull d

  Number of points processed: 33
  Number of hyperplanes created: 87
  Number of facets in hull: 11
  Number of distance tests for qhull: 826
  Number of distance tests for merging: 3868
  Number of distance tests for checking: 363
  Number of merged facets: 296
  CPU seconds to compute hull (after input): 0.002104


Vertices and Delaunay regions of paraboloid from 'qhull d' via C++ classes
6
33 2 6
-0.5 -0.5 -0.5 -0.5 -0.5 1.25 
-0.5 -0.5 -0.5 -0.5 0.5 1.25 
-0.5 -0.5 -0.5 0.5 -0.5 1.25 
-0.5 -0.5 -0.5 0.5 0.5 1.25 
-0.5 -0.5 0.5 -0.5 -0.5 1.25 
-0.5 -0.5 0.5 -0.5 0.5 1.25 
-0.5 -0.5 0.5 0.5 -0.5 1.25 
-0.5 -0.5 0.5 0.5 0.5 1.25 
-0.5 0.5 -0.5 -0.5 -0.5 1.25 
-0.5 0.5 -0.5 -0.5 0.5 1.25 
-0.5 0.5 -0.5 0.5 -0.5 1.25 
-0.5 0.5 -0.5 0.5 0.5 1.25 
-0.5 0.5 0.5 -0.5 -0.5 1.25 
-0.5 0.5 0.5 -0.5 0.5 1.25 
-0.5 0.5 0.5 0.5 -0.5 1.25 
-0.5 0.5 0.5 0.5 0.5 1.25 
0.5 -0.5 -0.5 -0.5 -0.5 1.25 
0.5 -0.5 -0.5 -0.5 0.5 1.25 
0.5 -0.5 -0.5 0.5 -0.5 1.25 
0.5 -0.5 -0.5 0.5 0.5 1.25 
0.5 -0.5 0.5 -0.5 -0.5 1.25 
0.5 -0.5 0.5 -0.5 0.5 1.25 
0.5 -0.5 0.5 0.5 -0.5 1.25 
0.5 -0.5 0.5 0.5 0.5 1.25 
0.5 0.5 -0.5 -0.5 -0.5 1.25 
0.5 0.5 -0.5 -0.5 0.5 1.25 
0.5 0.5 -0.5 0.5 -0.5 1.25 
0.5 0.5 -0.5 0.5 0.5 1.25 
0.5 0.5 0.5 -0.5 -0.5 1.25 
0.5 0.5 0.5 -0.5 0.5 1.25 
0.5 0.5 0.5 0.5 -0.5 1.25 
0.5 0.5 0.5 0.5 0.5 1.25 
2 0 0 0 0 4 
32 17 18 3 20 5 6 24 9 10 12 19 21 22 7 25 26 11 28 13 14 23 27 29 30 15 31 16 1 2 4 8 0 
17 17 18 20 24 19 21 22 25 26 28 23 27 29 30 31 16 32 
user_eg3 rbox '10 D2' eg-voronoi
rbox 10 D2

Voronoi vertices and regions for rbox "10 D2" via C++ classes
2
15 10 1
-10.101 -10.101 
-0.129438 -0.0724741 
0.0826769 -0.239764 
0.129526 1.71603 
0.174036 0.531752 
0.185142 0.388255 
-0.906594 -0.296296 
-0.195481 -0.0711189 
-0.140758 0.723386 
-0.16763 0.208062 
0.0586831 0.0663207 
0.0880634 0.105408 
0.476159 -0.0316837 
3.09421 -0.0647219 
0.541052 0.211562 
5 7 1 2 0 6
4 8 3 0 6
3 14 5 11
4 9 4 3 8
6 14 5 4 3 0 13
4 9 7 6 8
5 14 11 10 12 13
7 11 5 4 9 7 1 10
4 13 0 2 12
4 12 2 1 10
user_eg3 rbox "D5 c P2" qhull v eg-voronoi o
rbox D5 c P2

Results of v

Voronoi diagram by the convex hull of 33 points in 6-d:

  Number of Voronoi regions: 33
  Number of Voronoi vertices: 2
  Number of non-simplicial Voronoi vertices: 2

Statistics for: rbox "D5 c P2" | qhull v

  Number of points processed: 33
  Number of hyperplanes created: 87
  Number of facets in hull: 11
  Number of distance tests for qhull: 826
  Number of distance tests for merging: 3868
  Number of distance tests for checking: 363
  Number of merged facets: 296
  CPU seconds to compute hull (after input): 0.002039


Voronoi vertices and regions for 'qhull v' via C++ classes
5
3 33 1
-10.101 -10.101 -10.101 -10.101 -10.101 
0 0 0 0 0 
0.916667 0 0 0 0 
2 0 2
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2

Results of o
5
3 33 1
-10.101 -10.101 -10.101 -10.101 -10.101 
     0      0      0      0      0 
0.9166666666666667      0      0      0      0 
2 0 2
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
2 0 1
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
3 0 1 2
user_eg3 rbox '10 D2' eg-fifo
rbox 10 D2

Voronoi vertices for rbox "10 D2" via QhullUser and qh_fprintf
2
14
-0.129438 -0.0724741 
0.0826769 -0.239764 
0.129526 1.71603 
0.174036 0.531752 
0.185142 0.388255 
-0.906594 -0.296296 
-0.195481 -0.0711189 
-0.140758 0.723386 
-0.16763 0.208062 
0.0586831 0.0663207 
0.0880634 0.105408 
0.476159 -0.0316837 
3.09421 -0.0647219 
0.541052 0.211562 
10
5 6 0 1 -1 5
4 7 2 -1 5
3 13 4 10
4 8 3 2 7
6 13 4 3 2 -1 12
4 8 6 5 7
5 13 10 9 11 12
7 10 4 3 8 6 0 9
4 12 -1 1 11
4 11 1 0 9

Hyperplanes for bounded facets between Voronoi regions via QhullUser and qh_fprintf
19
5 0 5  -0.301881 0.953346 0.00878913 
5 0 7  0.0205153 0.99979 0.0751143 
5 0 9  0.619259 0.785187 0.137061 
5 1 5  0.799595 -0.600539 0.546971 
5 1 3  0.964872 -0.262721 0.325862 
5 2 6  0.22816 -0.973624 0.0825353 
5 2 4  0.444671 0.895694 -0.430084 
5 2 7  -0.945841 0.32463 0.0490754 
5 3 5  -0.998643 0.0520745 -0.178237 
5 3 7  0.687752 -0.725945 0.26633 
5 3 4  0.999294 0.037557 -0.193884 
5 4 6  -0.107584 -0.994196 0.268542 
5 4 7  -0.997018 -0.0771644 0.214549 
5 5 7  0.995061 -0.0992661 0.187455 
5 6 7  -0.799364 0.600847 0.00706064 
5 6 9  -0.228542 -0.973534 0.077977 
5 6 8  -0.0126184 -0.99992 -0.0256728 
5 7 9  0.593695 -0.80469 0.0185277 
5 8 9  -0.467479 0.884004 0.250603 

Hyperplanes for unbounded facets between Voronoi regions via QhullUser and qh_fprintf
4
5 0 8  0.719063 0.694945 0.107173 
5 0 1  -0.385496 0.92271 -0.076093 
5 1 4  0.992921 -0.118775 0.0752121 
5 4 8  -0.0664014 -0.997793 0.140881 

Message codes captured by qh_fprintf in QhullUser.cpp (qhull v Fo Ta):
9231 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 
user_eg3 rbox D2 10 qhull v eg-fifo p Fi Fo
rbox D2
rbox 10

Results of v

Voronoi diagram by the convex hull of 10 points in 3-d:

  Number of Voronoi regions: 10
  Number of Voronoi vertices: 14

Statistics for: rbox "10 D2" | qhull v

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of facets in hull: 16
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000116


Voronoi vertices for 'qhull v' via C++ classes
2
14
-0.129438 -0.0724741 
0.0826769 -0.239764 
0.129526 1.71603 
0.174036 0.531752 
0.185142 0.388255 
-0.906594 -0.296296 
-0.195481 -0.0711189 
-0.140758 0.723386 
-0.16763 0.208062 
0.0586831 0.0663207 
0.0880634 0.105408 
0.476159 -0.0316837 
3.09421 -0.0647219 
0.541052 0.211562 
10
5 6 0 1 -1 5
4 7 2 -1 5
3 13 4 10
4 8 3 2 7
6 13 4 3 2 -1 12
4 8 6 5 7
5 13 10 9 11 12
7 10 4 3 8 6 0 9
4 12 -1 1 11
4 11 1 0 9

Hyperplanes for bounded facets between Voronoi regions via QhullUser and qh_fprintf
19
5 0 5  -0.301881 0.953346 0.00878913 
5 0 7  0.0205153 0.99979 0.0751143 
5 0 9  0.619259 0.785187 0.137061 
5 1 5  0.799595 -0.600539 0.546971 
5 1 3  0.964872 -0.262721 0.325862 
5 2 6  0.22816 -0.973624 0.0825353 
5 2 4  0.444671 0.895694 -0.430084 
5 2 7  -0.945841 0.32463 0.0490754 
5 3 5  -0.998643 0.0520745 -0.178237 
5 3 7  0.687752 -0.725945 0.26633 
5 3 4  0.999294 0.037557 -0.193884 
5 4 6  -0.107584 -0.994196 0.268542 
5 4 7  -0.997018 -0.0771644 0.214549 
5 5 7  0.995061 -0.0992661 0.187455 
5 6 7  -0.799364 0.600847 0.00706064 
5 6 9  -0.228542 -0.973534 0.077977 
5 6 8  -0.0126184 -0.99992 -0.0256728 
5 7 9  0.593695 -0.80469 0.0185277 
5 8 9  -0.467479 0.884004 0.250603 

Hyperplanes for unbounded facets between Voronoi regions via QhullUser and qh_fprintf
4
5 0 8  0.719063 0.694945 0.107173 
5 0 1  -0.385496 0.92271 -0.076093 
5 1 4  0.992921 -0.118775 0.0752121 
5 4 8  -0.0664014 -0.997793 0.140881 

Message codes captured by qh_fprintf in QhullUser.cpp (qhull v Fo Ta):
9231 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 

Results of p
2
14
-0.1294381801544404 -0.07247409101984709 
0.08267689532419764 -0.2397644955865706 
0.1295260566906467 1.716033573116839 
0.1740355150742391 0.5317519038435656 
0.1851415205797576 0.3882545794457364 
-0.9065939866848106 -0.2962957610652136 
-0.1954805620516264 -0.07111892482963184 
-0.1407581310832469 0.7233857048236081 
-0.1676297826663961 0.2080621273999384 
0.05868313821742954 0.06632066014880161 
0.08806341399736983 0.1054080604689984 
0.4761588899009251 -0.03168366595227294 
3.094213357897476 -0.064721945677682 
0.5410515627308723 0.211561543495592 

Results of Fi
19
5 0 5 -0.301880639203215 0.9533457293522944 0.008789126238507639 
5 0 7 0.02051532578114256 0.9997895385570373 0.0751143044524602 
5 0 9 0.619259133056969 0.7851866823409139 0.1370614663104577 
5 1 5 0.7995952824356682 -0.6005392446015695 0.5469710423089691 
5 1 3 0.9648718030091262 -0.2627211520946076 0.3258622775065155 
5 2 6 0.2281595097543264 -0.9736237661995856 0.0825352874566877 
5 2 4 0.4446710312325422 0.895693962234081 -0.4300843534994401 
5 2 7 -0.9458410914974846 0.324629988810102 0.04907537812572163 
5 3 5 -0.9986432053419565 0.05207445078292225 -0.1782370644858235 
5 3 7 0.6877523324625964 -0.7259454037269318 0.2663295190946446 
5 3 4 0.99929448732669 0.03755699133966526 -0.1938837324602515 
5 4 6 -0.1075842248297359 -0.9941959739245502 0.2685422477498993 
5 4 7 -0.9970183790688238 -0.07716444646969949 0.2145489484590234 
5 5 7 0.995060920624513 -0.09926612839179721 0.1874553677160639 
5 6 7 -0.7993641842155071 0.6008468199079334 0.007060641163779156 
5 6 9 -0.2285415587894344 -0.9735341575446109 0.07797696388863322 
5 6 8 -0.01261839651625044 -0.9999203848653946 -0.02567278177543585 
5 7 9 0.5936952885926361 -0.8046899429612046 0.01852766555277021 
5 8 9 -0.4674785097727935 0.8840044360186254 0.2506025495170938 

Results of Fo
4
5 0 8 0.7190625207842074 0.6949453872092838 0.1071733734620183 
5 0 1 -0.3854955578888163 0.922709691532494 -0.07609298438083834 
5 1 4 0.9929212365203528 -0.1187746524595787 0.0752121188850394 
5 4 8 -0.06640144810487485 -0.9977929883946747 0.1408811441173877 

set +v
=== check front ends and examples Fri Dec 4 05:28:05 UTC 2020 ==================
qconvex -

qconvex -- compute the convex hull
    http://www.qhull.org  2020.2.r 2020/08/31

input (stdin):
    first lines: dimension and number of points (or vice-versa).
    other lines: point coordinates, best if one point per line
    comments:    start with a non-numeric character

options:
    Qc   - keep coplanar points with nearest facet
    Qi   - keep interior points with nearest facet
    QJ   - joggled input instead of merged facets
    Qt   - triangulated output

Qhull control options:
    Qa   - allow input with fewer or more points than coordinates
    Qbk:n   - scale coord k so that low bound is n
      QBk:n - scale coord k so that upper bound is n (QBk is 0.5)
    QbB  - scale input to unit cube centered at the origin
    Qbk:0Bk:0 - remove k-th coordinate from input
    QJn  - randomly joggle input in range [-n,n]
    QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)
    Qs   - search all points for the initial simplex

Qhull extra options:
    QGn  - good facet if visible from point n, -n for not visible
    QVn  - good facet if it includes point n, -n if not
    Qw   - allow option warnings
    Q12  - allow wide facets and wide dupridge
    Q14  - merge pinched vertices that create a dupridge

T options:
    TFn  - report summary when n or more facets created
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes
    Ts   - statistics
    Tv   - verify result: structure, convexity, and in-circle test
    Tz   - send all output to stdout

Trace options:
    T4   - trace at level n, 4=all, 5=mem/gauss, -1= events
    Ta   - annotate output with message codes
    TAn  - stop qhull after adding n vertices
     TCn - stop qhull after building cone for point n
     TVn - stop qhull after adding point n, -n for before
    Tc   - check frequently during execution
    Tf   - flush each qh_fprintf for debugging segfaults
    TPn  - turn on tracing when point n added to hull
     TMn - turn on tracing at merge n
     TWn - trace merge facets when width > n

Precision options:
    Cn   - radius of centrum (roundoff added).  Merge facets if non-convex
     An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex
           C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge
    Rn   - randomly perturb computations by a factor of [1-n,1+n]
    Un   - max distance below plane for a new, coplanar point
    Wn   - min facet width for outside point (before roundoff)

Output formats (may be combined; if none, produces a summary to stdout):
    f    - facet dump
    G    - Geomview output (see below)
    i    - vertices incident to each facet
    m    - Mathematica output (2-d and 3-d)
    n    - normals with offsets
    o    - OFF file format (dim, points and facets)
    p    - point coordinates 
    s    - summary (stderr)

More formats:
    Fa   - area for each facet
    FA   - compute total area and volume for option 's'
    Fc   - count plus coplanar points for each facet
           use 'Qc' (default) for coplanar and 'Qi' for interior
    FC   - centrum for each facet
    Fd   - use cdd format for input (homogeneous with offset first)
    FD   - use cdd format for numeric output (offset first)
    FF   - facet dump without ridges
    Fi   - inner plane for each facet
    FI   - ID for each facet
    Fm   - merge count for each facet (511 max)
    FM   - Maple output (2-d and 3-d)
    Fn   - count plus neighboring facets for each facet
    FN   - count plus neighboring facets for each point
    Fo   - outer plane (or max_outside) for each facet
    FO   - options and precision constants
    FP   - nearest vertex for each coplanar point
    FQ   - command used for qconvex
    Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,
                      output: #vertices, #facets, #coplanars, #nonsimplicial
                    #real (2), max outer plane, min vertex
    FS   - sizes:   #int (0) 
                    #real (2) tot area, tot volume
    Ft   - triangulation with centrums for non-simplicial facets (OFF format)
    Fv   - count plus vertices for each facet
    FV   - average of vertices (a feasible point for 'H')
    Fx   - extreme points (in order for 2-d)

Geomview output (2-d, 3-d, and 4-d)
    Ga   - all points as dots
     Gp  -  coplanar points and vertices as radii
     Gv  -  vertices as spheres
    Gc   - centrums
    GDn  - drop dimension n in 3-d and 4-d output
    Gh   - hyperplane intersections
    Gi   - inner planes only
     Gn  -  no planes
     Go  -  outer planes only
    Gr   - ridges

Print options:
    PAn  - keep n largest facets by area
    Pdk:n - drop facet if normal[k] <= n (default 0.0)
    PDk:n - drop facet if normal[k] >= n
    PFn  - keep facets whose area is at least n
    Pg   - print good facets (needs 'QGn' or 'QVn')
    PG   - print neighbors of good facets
    PMn  - keep n facets with most merges
    Po   - force output.  If error, output neighborhood of facet
    Pp   - do not report precision problems

    .    - list of all options
    -    - one line descriptions of all options
    -?   - help with examples
    -V   - version
qconvex .

Qhull 2020.2.r 2020/08/31
Except for 'F.' and 'PG', upper-case options take an argument.

 facet-dump     Geomview       incidences     mathematica    normals
 off-format     points         summary

 Farea          FArea-total    Fcoplanars     FCentrums      Fd-cdd-in
 FD-cdd-out     FFacets-xridge Finner         FIDs           Fmerges
 FMaple         Fneighbors     FNeigh-vertex  Fouter         FOptions
 FPoint-near    FQhull         Fsummary       FSize          Ftriangles
 Fvertices      FVertex-ave    Fxtremes

 Gall-points    Gcentrums      GDrop-dim      Ghyperplanes   Ginner
 Gno-planes     Gouter         Gpoints        Gridges        Gvertices

 PArea-keep     Pdrop-d0:0D0   PFacet-area-keep  Pgood       PGood-neighbors
 PMerge-keep    Poutput-forced Pprecision-not

 Qallow-short   QbBound-0:0.5  QbB-scale-box  Qcoplanar      QGood-point
 Qinterior      QJoggle        QRotate        Qsearch-all    Qtriangulate
 QVertex-good   Qwarn-allow    Q12-allow-wide Q14-merge-pinched

 TFacet-log     TInput-file    TOutput-file   Tstatistics    Tverify
 Tz-stdout

 T4-trace       Tannotate      TAdd-stop      Tcheck-often   TCone-stop
 Tflush         TMerge-trace   TPoint-trace   TVertex-stop   TWide-trace

 Angle-max      Centrum-size   Random-dist    Ucoplanar-max  Wide-outside
qconvex -? # [mar'19] isatty does not work for Git for Windows

qconvex -- compute the convex hull.  Qhull 2020.2.r 2020/08/31
    input (stdin): dimension, number of points, point coordinates
    comments start with a non-numeric character

options (qconvex.htm):
    Qt   - triangulated output
    QJ   - joggled input instead of merged facets
    Tv   - verify result: structure, convexity, and point inclusion
    .    - concise list of all options
    -    - one-line description of each option
    -?   - this message
    -V   - version

output options (subset):
    s    - summary of results (default)
    i    - vertices incident to each facet
    n    - normals with offsets
    p    - vertex coordinates (if 'Qc', includes coplanar points)
    FA   - report total area and volume
    FS   - total area and volume
    Fx   - extreme points (convex hull vertices)
    G    - Geomview output (2-d, 3-d, and 4-d)
    m    - Mathematica output (2-d and 3-d)
    o    - OFF format (dim, n, points, facets)
    QVn  - print facets that include point n, -n if not
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes

examples:
    rbox c D2 | qconvex s n                    rbox c D2 | qconvex i
    rbox c D2 | qconvex o                      rbox 1000 s | qconvex s Tv FA
    rbox c d D2 | qconvex s Qc Fx              rbox y 1000 W0 | qconvex Qc s n
    rbox y 1000 W0 | qconvex s QJ              rbox d G1 D12 | qconvex QR0 FA Pp
    rbox c D7 | qconvex FA TF1000

rbox c D3 | qconvex s n Qt 

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 12
  Number of triangulated facets: 6

Statistics for: rbox c D3 | qconvex s n Qt

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 90
  Number of distance tests for checking: 48
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000178

4
12
    -0     -0     -1   -0.5 
    -0     -0     -1   -0.5 
     0     -1      0   -0.5 
     0     -1      0   -0.5 
     1     -0     -0   -0.5 
     1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
     0      1     -0   -0.5 
     0      1     -0   -0.5 
    -0     -0      1   -0.5 
    -0     -0      1   -0.5 
rbox c D2 | qconvex s i 

Convex hull of 4 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox c D2 | qconvex s i

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 5
  CPU seconds to compute hull (after input): 7e-05

4
0 2 
1 0 
2 3 
3 1 
rbox c D2 | qconvex s n

Convex hull of 4 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox c D2 | qconvex s n

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 5
  CPU seconds to compute hull (after input): 7e-05

3
4
    -0     -1   -0.5 
    -1      0   -0.5 
     1     -0   -0.5 
     0      1   -0.5 
rbox c D2 | qconvex o
2
4 4 4
  -0.5   -0.5 
  -0.5    0.5 
   0.5   -0.5 
   0.5    0.5 
2 0 2 
2 1 0 
2 2 3 
2 3 1 
rbox 1000 s | qconvex s Tv FA

Convex hull of 1000 points in 3-d:

  Number of vertices: 1000
  Number of facets: 1996

Statistics for: rbox 1000 s | qconvex s Tv FA

  Number of points processed: 1000
  Number of hyperplanes created: 5544
  Number of distance tests for qhull: 25487
  CPU seconds to compute hull (after input): 0.01179
  Total facet area:   3.1201951
  Total volume:       0.51650274


qhull output completed.  Verifying that 1000 points are
below 2.1e-15 of the nearest facet.
rbox c d D2 | qconvex s Qc Fx

Convex hull of 8 points in 2-d:

  Number of vertices: 4
  Number of coplanar points: 4
  Number of facets: 4

Statistics for: rbox c d D2 | qconvex s Qc Fx

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 35
  CPU seconds to compute hull (after input): 8.2e-05

4
0
2
3
1
rbox y 1000 W0 | qconvex Qc s n 

Convex hull of 1004 points in 3-d:

  Number of vertices: 4
  Number of coplanar points: 1000
  Number of facets: 4

Statistics for: rbox y 1000 W0 | qconvex Qc s n

  Number of points processed: 4
  Number of hyperplanes created: 4
  Number of distance tests for qhull: 11000
  CPU seconds to compute hull (after input): 0.000908

4
4
0.2135848119563837 0.1168704340428168 0.9699086708284446 -0.09806074564261894 
0.08553875579270347 -0.8316435307282575 -0.5486822022403076 -0.1234144150397865 
-0.749541668500822 -0.02779445272382575 -0.6613733859014791 -0.2159556159595279 
0.3120013537900506 0.9498158823230658 -0.02247097950761911 -0.02453689035981485 
rbox y 1000 W0 | qconvex s QJ

Convex hull of 1004 points in 3-d:

  Number of vertices: 51
  Number of facets: 98

Statistics for: rbox y 1000 W0 | qconvex s QJ

  Number of points processed: 52
  Number of hyperplanes created: 180
  Number of distance tests for qhull: 6420
  CPU seconds to compute hull (after input): 0.000862
  Input joggled by: 2.1e-11

rbox d G1 D12 | qconvex QR0 FA

Convex hull of 24 points in 12-d:

  Number of vertices: 24
  Number of facets: 4096

Statistics for: rbox d G1 D12 | qconvex QR0 FA QR1607059685

  Number of points processed: 24
  Number of hyperplanes created: 4108
  Number of distance tests for qhull: 4215
  Number of distance tests for merging: 121143
  Number of distance tests for checking: 98304
  Number of merged facets: 2036
  CPU seconds to compute hull (after input): 0.09456
  Approximate facet area:   0.00035546337
  Approximate volume:       8.5511197e-06

rbox c D6 | qconvex s FA TF500

At 05:28:06 & 0.002789 CPU secs, qhull has created 543 facets and merged 289.
 The current hull contains 91 facets and 23 vertices.  There are 41
 outside points.  Next is point p27(v24), 0.64 above f107.

At 05:28:06 & 0.005645 CPU secs, qhull has created 1061 facets and merged 737.
 The current hull contains 69 facets and 33 vertices.  There are 31
 outside points.  Next is point p22(v34), 0.52 above f610.

At 05:28:06 & 0.008437 CPU secs, qhull has created 1567 facets and merged 1216.
 The current hull contains 37 facets and 48 vertices.  There are 16
 outside points.  Next is point p9(v49), 0.45 above f1061.

At 05:28:06 & 0.010097 CPU secs, qhull has created 1819 facets and merged 1462.
 The current hull contains 12 facets and 64 vertices.  Last point was p11

Convex hull of 64 points in 6-d:

  Number of vertices: 64
  Number of facets: 12
  Number of non-simplicial facets: 12

Statistics for: rbox c D6 | qconvex s FA TF500

  Number of points processed: 64
  Number of hyperplanes created: 358
  Number of distance tests for qhull: 2515
  Number of distance tests for merging: 14300
  Number of distance tests for checking: 0
  Number of merged facets: 1462


First post-merge with 'C3.5e-15' and 'A1.8e+308'

At 05:28:06 & 0.010564 CPU secs, qhull has created 1819 facets and merged 1462.
 The current hull contains 12 facets and 64 vertices.  Last point was p11

Testing all coplanar points.
computing area of each facet and volume of the convex hull

Convex hull of 64 points in 6-d:

  Number of vertices: 64
  Number of facets: 12
  Number of non-simplicial facets: 12

Statistics for: rbox c D6 | qconvex s FA TF500

  Number of points processed: 64
  Number of hyperplanes created: 358
  Number of distance tests for qhull: 2515
  Number of distance tests for merging: 14420
  Number of distance tests for checking: 768
  Number of merged facets: 1462
  CPU seconds to compute hull (after input): 0.01069
  Approximate facet area:   12
  Approximate volume:        1

rbox c D7 | qconvex s FA TF1000

At 05:28:06 & 0.006379 CPU secs, qhull has created 1048 facets and merged 469.
 The current hull contains 230 facets and 24 vertices.  There are 104
 outside points.  Next is point p79(v25), 0.66 above f145.

At 05:28:06 & 0.014834 CPU secs, qhull has created 2146 facets and merged 1272.
 The current hull contains 273 facets and 31 vertices.  There are 97
 outside points.  Next is point p120(v32), 0.54 above f437.

At 05:28:06 & 0.02439 CPU secs, qhull has created 3310 facets and merged 2244.
 The current hull contains 243 facets and 36 vertices.  There are 92
 outside points.  Next is point p60(v37), 0.54 above f1338.

At 05:28:06 & 0.032978 CPU secs, qhull has created 4322 facets and merged 3099.
 The current hull contains 249 facets and 42 vertices.  There are 86
 outside points.  Next is point p30(v43), 0.54 above f2005.

At 05:28:06 & 0.04297 CPU secs, qhull has created 5491 facets and merged 4196.
 The current hull contains 186 facets and 48 vertices.  There are 80
 outside points.  Next is point p21(v49), 0.5 above f2995.

At 05:28:06 & 0.053378 CPU secs, qhull has created 6589 facets and merged 5175.
 The current hull contains 194 facets and 53 vertices.  There are 75
 outside points.  Next is point p56(v54), 0.28 above f3731.

At 05:28:06 & 0.065673 CPU secs, qhull has created 7867 facets and merged 6337.
 The current hull contains 203 facets and 60 vertices.  There are 68
 outside points.  Next is point p76(v61), 0.29 above f5879.

At 05:28:06 & 0.077496 CPU secs, qhull has created 8971 facets and merged 7362.
 The current hull contains 179 facets and 67 vertices.  There are 61
 outside points.  Next is point p80(v68), 0.23 above f7175.

At 05:28:06 & 0.089633 CPU secs, qhull has created 9984 facets and merged 8352.
 The current hull contains 104 facets and 77 vertices.  There are 51
 outside points.  Next is point p96(v78), 0.41 above f6748.

At 05:28:06 & 0.10352 CPU secs, qhull has created 10990 facets and merged 9326.
 The current hull contains 54 facets and 90 vertices.  There are 38
 outside points.  Next is point p18(v91), 0.41 above f10178.

At 05:28:06 & 0.11624 CPU secs, qhull has created 11996 facets and merged 10295.
 The current hull contains 34 facets and 114 vertices.  There are 14
 outside points.  Next is point p19(v115), 0.38 above f11792.

At 05:28:06 & 0.1251 CPU secs, qhull has created 12860 facets and merged 11072.
 The current hull contains 14 facets and 128 vertices.  Last point was p77

Convex hull of 128 points in 7-d:

  Number of vertices: 128
  Number of facets: 14
  Number of non-simplicial facets: 14

Statistics for: rbox c D7 | qconvex s FA TF1000

  Number of points processed: 128
  Number of hyperplanes created: 1789
  Number of distance tests for qhull: 10122
  Number of distance tests for merging: 87203
  Number of distance tests for checking: 0
  Number of merged facets: 11072


First post-merge with 'C4.4e-15' and 'A1.8e+308'

At 05:28:06 & 0.12682 CPU secs, qhull has created 12860 facets and merged 11072.
 The current hull contains 14 facets and 128 vertices.  Last point was p77

Testing all coplanar points.
computing area of each facet and volume of the convex hull

Convex hull of 128 points in 7-d:

  Number of vertices: 128
  Number of facets: 14
  Number of non-simplicial facets: 14

Statistics for: rbox c D7 | qconvex s FA TF1000

  Number of points processed: 128
  Number of hyperplanes created: 1789
  Number of distance tests for qhull: 10122
  Number of distance tests for merging: 87371
  Number of distance tests for checking: 1792
  Number of merged facets: 11072
  CPU seconds to compute hull (after input): 0.1271
  Approximate facet area:   14
  Approximate volume:        1

rbox d G1 D12 | qconvex QR0 FA Pp

Convex hull of 24 points in 12-d:

  Number of vertices: 24
  Number of facets: 4096

Statistics for: rbox d G1 D12 | qconvex QR0 FA Pp QR1607059686

  Number of points processed: 24
  Number of hyperplanes created: 4108
  Number of distance tests for qhull: 4215
  Number of distance tests for merging: 121143
  Number of distance tests for checking: 98304
  Number of merged facets: 2036
  CPU seconds to compute hull (after input): 0.09406
  Approximate facet area:   0.00035546337
  Approximate volume:       8.5511197e-06

rbox c P0 d D2 | qconvex p Fa Fc FP FI Fn FN FS Fv Fx 
2
8
  -0.5   -0.5 
  -0.5    0.5 
   0.5   -0.5 
   0.5    0.5 
     0   -0.5 
     0    0.5 
  -0.5      0 
   0.5      0 
4
     1 
     1 
     1 
     1 
4
1 5
1 7
1 8
1 6
4
3 5 1    0.5 
2 7 2    0.5 
4 8 4    0.5 
4 6 5    0.5 
4
1
2
4
5
4
2 1 2
2 0 3
2 0 3
2 1 2
9
0
2 0 1
2 1 3
2 2 0
2 3 2
1 0
1 3
1 1
1 2
0
2      4      1 
4
2 3 1
2 2 1
2 4 3
2 4 2
4
1
3
4
2
rbox c d D2 | qconvex s i QV0

Convex hull of 8 points in 2-d:

  Number of vertices: 4
  Number of facets: 4
  Number of 'good' facets: 2

Statistics for: rbox c d D2 | qconvex s i QV0

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 35
  CPU seconds to compute hull (after input): 8.6e-05

2
0 2 
1 0 
rbox c | qconvex Q0
QH6029 qhull option error: option 'Q0' is not used with this program.
             It may be used with qhull.

While executing:  | qconvex Q0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950314283  _maxoutside  0
qvoronoi -

qvoronoi -- compute the Voronoi diagram
    http://www.qhull.org  2020.2.r 2020/08/31

input (stdin):
    first lines: dimension and number of points (or vice-versa).
    other lines: point coordinates, best if one point per line
    comments:    start with a non-numeric character

options:
    Qu   - compute furthest-site Voronoi diagram

Qhull control options:
    Qa   - allow input with fewer or more points than coordinates
    QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)
    Qs   - search all points for the initial simplex
    Qz   - add point-at-infinity to Voronoi diagram

Qhull extra options:
    QGn  - Voronoi vertices if visible from point n, -n if not
    QVn  - Voronoi vertices for input point n, -n if not
    Qw   - allow option warnings
    Q12  - allow wide facets and wide dupridge
    Q14  - merge pinched vertices that create a dupridge

T options:
    TFn  - report summary when n or more facets created
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes
    Ts   - statistics
    Tv   - verify result: structure, convexity, and in-circle test
    Tz   - send all output to stdout

Trace options:
    T4   - trace at level n, 4=all, 5=mem/gauss, -1= events
    Ta   - annotate output with message codes
    TAn  - stop qhull after adding n vertices
     TCn - stop qhull after building cone for point n
     TVn - stop qhull after adding point n, -n for before
    Tc   - check frequently during execution
    Tf   - flush each qh_fprintf for debugging segfaults
    TPn  - turn on tracing when point n added to hull
     TMn - turn on tracing at merge n
     TWn - trace merge facets when width > n

Precision options:
    Cn   - radius of centrum (roundoff added).  Merge facets if non-convex
     An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex
           C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge
    Rn   - randomly perturb computations by a factor of [1-n,1+n]
    Wn   - min facet width for non-coincident point (before roundoff)

Output formats (may be combined; if none, summary to stdout):
    p    - Voronoi vertices
    s    - summary to stderr
    f    - facet dump
    i    - Delaunay regions (use 'Pp' to avoid warning)
    o    - OFF format (dim, Voronoi vertices, and Voronoi regions)

More formats:
    Fc   - count plus coincident points (by Voronoi vertex)
    Fd   - use cdd format for input (homogeneous with offset first)
    FD   - use cdd format for output (offset first)
    FF   - facet dump without ridges
    Fi   - separating hyperplanes for bounded Voronoi regions
    FI   - ID for each Voronoi vertex
    Fm   - merge count for each Voronoi vertex (511 max)
    Fn   - count plus neighboring Voronoi vertices for each Voronoi vertex
    FN   - count and Voronoi vertices for each Voronoi region
    Fo   - separating hyperplanes for unbounded Voronoi regions
    FO   - options and precision constants
    FP   - nearest point and distance for each coincident point
    FQ   - command used for qvoronoi
    Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,
                    for output: #Voronoi regions, #Voronoi vertices,
                                #coincident points, #non-simplicial regions
                    #real (2), max outer plane and min vertex
    Fv   - Voronoi diagram as Voronoi vertices between adjacent input sites
    Fx   - extreme points of Delaunay triangulation (on convex hull)

Geomview output (2-d only)
    Ga   - all points as dots
     Gp  -  coplanar points and vertices as radii
     Gv  -  vertices as spheres
    Gc   - centrums
    GDn  - drop dimension n in 3-d and 4-d output
    Gh   - hyperplane intersections
    Gi   - inner planes only
     Gn  -  no planes
     Go  -  outer planes only
    Gr   - ridges

Print options:
    PAn  - keep n largest Voronoi vertices by 'area'
    Pdk:n - drop facet if normal[k] <= n (default 0.0)
    PDk:n - drop facet if normal[k] >= n
    PFn  - keep Voronoi vertices whose 'area' is at least n
    Pg   - print good Voronoi vertices (needs 'QGn' or 'QVn')
    PG   - print neighbors of good Voronoi vertices
    PMn  - keep n Voronoi vertices with most merges
    Po   - force output.  If error, output neighborhood of facet
    Pp   - do not report precision problems

    .    - list of all options
    -    - one line descriptions of all options
    -?   - help with examples
    -V   - version
qvoronoi .

Qhull 2020.2.r 2020/08/31
Except for 'F.' and 'PG', upper-case options take an argument.

 facet-dump     Geomview       i-delaunay     off-format     p-vertices
 summary

 Fcoincident    Fd-cdd-in      FD-cdd-out     FF-dump-xridge Fi-bounded
 FIDs           Fmerges        Fneighbors     FNeigh-region  Fo-unbounded
 FOptions       FPoint-near    FQvoronoi      Fsummary       Fvoronoi
 Fxtremes

 Gall-points    Gcentrums      GDrop-dim      Ghyperplanes   Ginner
 Gno-planes     Gouter         Gpoints        Gridges        Gvertices

 PArea-keep     Pdrop-d0:0D0   PFacet-area-keep  Pgood       PGood-neighbors
 PMerge-keep    Poutput-forced Pprecision-not

 Qallow-short   QG-vertex-good QRotate        Qsearch-all    Qupper-voronoi
 QV-point-good  Qwarn-allow    Qzinfinite     Q12-allow-wide Q14-merge-pinched

 TFacet-log     TInput-file    TOutput-file   Tstatistics    Tverify
 Tz-stdout

 T4-trace       Tannotate      TAdd-stop      Tcheck-often   TCone-stop
 Tflush         TMerge-trace   TPoint-trace   TVertex-stop   TWide-trace

 Angle-max      Centrum-size   Random-dist    Wide-outside
qvoronoi -? # [mar'19] isatty does not work for Git for Windows

qvoronoi -- compute the Voronoi diagram.  Qhull 2020.2.r 2020/08/31
    input (stdin): dimension, number of points, point coordinates
    comments start with a non-numeric character

options (qvoronoi.htm):
    Qu   - compute furthest-site Voronoi diagram
    Tv   - verify result: structure, convexity, and in-circle test
    .    - concise list of all options
    -    - one-line description of all options
    -?   - this message
    -V   - version

output options (subset):
    Fi   - separating hyperplanes for bounded regions, 'Fo' for unbounded
    FN   - count and Voronoi vertices for each Voronoi region
    Fv   - Voronoi diagram as Voronoi vertices between adjacent input sites
    G    - Geomview output (2-d only)
    o    - OFF file format (dim, Voronoi vertices, and Voronoi regions)
    p    - Voronoi vertices
    QVn  - Voronoi vertices for input point n, -n if not
    s    - summary of results (default)
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes

examples:
    rbox c P0 D2 | qvoronoi s o         rbox c P0 D2 | qvoronoi Fi
    rbox c P0 D2 | qvoronoi Fo          rbox c P0 D2 | qvoronoi Fv
    rbox c P0 D2 | qvoronoi s Qu Fv     rbox c P0 D2 | qvoronoi Qu Fo
    rbox c G1 d D2 | qvoronoi s p       rbox c P0 D2 | qvoronoi s Fv QV0

rbox c P0 D2 | qvoronoi s o

Voronoi diagram by the convex hull of 5 points in 3-d:

  Number of Voronoi regions: 5
  Number of Voronoi vertices: 4

Statistics for: rbox c P0 D2 | qvoronoi s o

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 5
  Number of distance tests for qhull: 7
  Number of distance tests for merging: 34
  Number of distance tests for checking: 25
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 0.000114

2
5 5 1
-10.101 -10.101 
     0   -0.5 
  -0.5      0 
   0.5      0 
     0    0.5 
4 4 2 1 3
3 2 0 1
3 4 0 2
3 3 0 1
3 4 0 3
rbox c P0 D2 | qvoronoi Fi Tv
4
5 0 3 0.7071067811865475 -0.7071067811865475 -0.3535533905932737 
5 0 1 -0.7071067811865475 -0.7071067811865475 -0.3535533905932737 
5 0 2 -0.7071067811865475 0.7071067811865475 -0.3535533905932737 
5 0 4 0.7071067811865475 0.7071067811865475 -0.3535533905932737 

Voronoi ridge statistics
      4 bounded ridges
      0   max. distance of midpoint to ridge
      4 bounded ridges with ok normal
2.2e-16   ave. angle to ridge
2.2e-16   max. angle to ridge

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 20 distance computations.
rbox c P0 D2 | qvoronoi Fo Tv
4
5 1 2     -1      0   -0.5 
5 1 3      1     -0     -0 
5 2 4      1     -0     -0 
5 3 4     -1      0    0.5 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 20 distance computations.
rbox c P0 D2 | qvoronoi Fv
8
4 0 3 1 3
4 0 1 1 2
4 0 2 2 4
4 0 4 3 4
4 1 2 0 2
4 1 3 0 1
4 2 4 0 4
4 3 4 0 3
rbox c P0 D2 | qvoronoi s Qu Fv

Furthest-site Voronoi vertices by the convex hull of 5 points in 3-d:

  Number of Voronoi regions: 5
  Number of Voronoi vertices: 1
  Number of non-simplicial Voronoi vertices: 1

Statistics for: rbox c P0 D2 | qvoronoi s Qu Fv

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 5
  Number of distance tests for qhull: 7
  Number of distance tests for merging: 34
  Number of distance tests for checking: 25
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 9.9e-05

4
4 1 2 0 1
4 1 3 0 1
4 2 4 0 1
4 3 4 0 1
rbox c P0 D2 | qvoronoi s Qu Qt Fv

Furthest-site Voronoi vertices by the convex hull of 5 points in 3-d:

  Number of Voronoi regions: 5
  Number of Voronoi vertices: 2
  Number of triangulated facets: 1

Statistics for: rbox c P0 D2 | qvoronoi s Qu Qt Fv

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 6
  Number of distance tests for qhull: 7
  Number of distance tests for merging: 34
  Number of distance tests for checking: 25
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 9.6e-05

4
4 1 3 0 2
4 1 2 0 1
4 2 4 0 1
4 3 4 0 2
rbox c P0 D2 | qvoronoi Qu Fo
4
5 1 2     -0      1      0 
5 1 3      1     -0     -0 
5 2 4      1     -0     -0 
5 3 4     -0      1     -0 
rbox c G1 d D2 | qvoronoi s p 

Voronoi diagram by the convex hull of 8 points in 3-d:

  Number of Voronoi regions: 8
  Number of Voronoi vertices: 9
  Number of non-simplicial Voronoi vertices: 1

Statistics for: rbox c G1 d D2 | qvoronoi s p

  Number of points processed: 8
  Number of hyperplanes created: 16
  Number of facets in hull: 10
  Number of distance tests for qhull: 41
  Number of distance tests for merging: 108
  Number of distance tests for checking: 72
  Number of merged facets: 3
  CPU seconds to compute hull (after input): 0.000151

2
9
     0  -1.75 
 -1.75      0 
-0.5833333333333334 -0.5833333333333333 
     0   1.75 
-0.5833333333333333 0.5833333333333334 
  1.75      0 
0.5833333333333334 -0.5833333333333333 
0.5833333333333334 0.5833333333333333 
     0      0 
rbox c G1 d D2 | qvoronoi QJ p 
2
10
-2.57276422388486e-11 1.749999999802917 
-2.05463598231932e-11 -1.750000000331276 
0.5833333333083517 -0.5833333333052267 
1.862254794815499e-11 -7.815052443180038e-11 
1.750000000002628 3.498100747664324e-11 
0.5833333333132078 0.5833333333796981 
-0.5833333332888888 0.5833333333317835 
-7.592293460589872e-11 -7.815050692933323e-11 
-1.750000000049026 2.293196879294717e-11 
-0.5833333333977307 -0.5833333333229861 
rbox c P-0.1 P+0.1 P+0.1 D2 | qvoronoi s Fc FP FQ Fn FN 

Voronoi diagram by the convex hull of 7 points in 3-d:

  Number of Voronoi regions: 6
  Number of nearly incident points: 1
  Number of Voronoi vertices: 4
  Number of non-simplicial Voronoi vertices: 2

Statistics for: rbox c P-0.1 P+0.1 P+0.1 D2 | qvoronoi s Fc FP FQ Fn FN

  Number of points processed: 6
  Number of hyperplanes created: 7
  Number of facets in hull: 5
  Number of distance tests for qhull: 31
  Number of distance tests for merging: 54
  Number of distance tests for checking: 36
  Number of merged facets: 3
  CPU seconds to compute hull (after input): 0.000125

4
0
1 1
0
0
1
2 1 8      0 
rbox c P-0.1 P+0.1 P+0.1 D2 | qvoronoi s Fc FP FQ Fn FN
4
3 -1 2 3
3 -1 2 3
4 -1 0 3 1
4 0 -1 2 1
7
3 3 2 0
1 1
3 3 1 2
3 0 -1 2
3 3 -1 0
3 1 -1 2
3 1 -1 3
rbox P0 c D2 | qvoronoi s Fv QV0

Voronoi diagram by the convex hull of 5 points in 3-d:

  Number of Voronoi regions: 5
  Number of 'good' Voronoi vertices: 4

Statistics for: rbox P0 c D2 | qvoronoi s Fv QV0

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 5
  Number of distance tests for qhull: 7
  Number of distance tests for merging: 34
  Number of distance tests for checking: 25
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 9.8e-05

4
4 0 3 1 3
4 0 1 1 2
4 0 2 2 4
4 0 4 3 4
qdelaunay -

qdelaunay -- compute the Delaunay triangulation
    http://www.qhull.org  2020.2.r 2020/08/31

input (stdin):
    first lines: dimension and number of points (or vice-versa).
    other lines: point coordinates, best if one point per line
    comments:    start with a non-numeric character

options:
    QJ   - joggled input instead of merged facets
    Qt   - triangulated output
    Qu   - compute furthest-site Delaunay triangulation

Qhull control options:
    Qa   - allow input with fewer or more points than coordinates
    QJn  - randomly joggle input in range [-n,n]
    QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)
    Qs   - search all points for the initial simplex
    Qz   - add point-at-infinity to Delaunay triangulation

Qhull extra options:
    QGn  - print Delaunay region if visible from point n, -n if not
    QVn  - print Delaunay regions that include point n, -n if not
    Qw   - allow option warnings
    Q12  - allow wide facets and wide dupridge
    Q14  - merge pinched vertices that create a dupridge

T options:
    TFn  - report summary when n or more facets created
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes
    Ts   - statistics
    Tv   - verify result: structure, convexity, and in-circle test
    Tz   - send all output to stdout

Trace options:
    T4   - trace at level n, 4=all, 5=mem/gauss, -1= events
    Ta   - annotate output with message codes
    TAn  - stop qhull after adding n vertices
     TCn - stop qhull after building cone for point n
     TVn - stop qhull after adding point n, -n for before
    Tc   - check frequently during execution
    Tf   - flush each qh_fprintf for debugging segfaults
    TPn  - turn on tracing when point n added to hull
     TMn - turn on tracing at merge n
     TWn - trace merge facets when width > n

Precision options:
    Cn   - radius of centrum (roundoff added).  Merge facets if non-convex
     An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex
           C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge
    Rn   - randomly perturb computations by a factor of [1-n,1+n]
    Wn   - min facet width for outside point (before roundoff)

Output formats (may be combined; if none, produces a summary to stdout):
    f    - facet dump
    G    - Geomview output (see below)
    i    - vertices incident to each Delaunay region
    m    - Mathematica output (2-d only, lifted to a paraboloid)
    o    - OFF format (dim, points, and facets as a paraboloid)
    p    - point coordinates (lifted to a paraboloid)
    s    - summary (stderr)

More formats:
    Fa   - area for each Delaunay region
    FA   - compute total area for option 's'
    Fc   - count plus coincident points for each Delaunay region
    Fd   - use cdd format for input (homogeneous with offset first)
    FD   - use cdd format for numeric output (offset first)
    FF   - facet dump without ridges
    FI   - ID of each Delaunay region
    Fm   - merge count for each Delaunay region (511 max)
    FM   - Maple output (2-d only, lifted to a paraboloid)
    Fn   - count plus neighboring region for each Delaunay region
    FN   - count plus neighboring region for each point
    FO   - options and precision constants
    FP   - nearest point and distance for each coincident point
    FQ   - command used for qdelaunay
    Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,
                    output: #vertices, #Delaunay regions,
                                #coincident points, #non-simplicial regions
                    #real (2), max outer plane, min vertex
    FS   - sizes:   #int (0)
                    #real (2), tot area, 0
    Fv   - count plus vertices for each Delaunay region
    Fx   - extreme points of Delaunay triangulation (on convex hull)

Geomview output (2-d and 3-d points lifted to a paraboloid)
    Ga   - all points as dots
     Gp  -  coplanar points and vertices as radii
     Gv  -  vertices as spheres
    Gc   - centrums
    GDn  - drop dimension n in 3-d and 4-d output
    Gh   - hyperplane intersections
    Gi   - inner planes only
     Gn  -  no planes
     Go  -  outer planes only
    Gr   - ridges
    Gt   - transparent outer ridges to view 3-d Delaunay

Print options:
    PAn  - keep n largest Delaunay regions by area
    Pdk:n - drop facet if normal[k] <= n (default 0.0)
    PDk:n - drop facet if normal[k] >= n
    PFn  - keep Delaunay regions whose area is at least n
    Pg   - print good Delaunay regions (needs 'QGn' or 'QVn')
    PG   - print neighbors of good regions (needs 'QGn' or 'QVn')
    PMn  - keep n Delaunay regions with most merges
    Po   - force output.  If error, output neighborhood of facet
    Pp   - do not report precision problems

    .    - list of all options
    -    - one line descriptions of all options
    -?   - help with examples
    -V   - version
qdelaunay .

Qhull 2020.2.r 2020/08/31
Except for 'F.' and 'PG', upper-case options take an argument.

 facet-dump     Geomview       incidences     mathematica    off-format
 points-lifted  summary

 Farea          FArea-total    Fcoincident    Fd-cdd-in      FD-cdd-out
 FF-dump-xridge FIDs           Fmerges        FMaple         Fneighbors
 FNeigh-vertex  FOptions       FPoint-near    FQdelaun       Fsummary
 FSize          Fvertices      Fxtremes

 Gall-points    Gcentrums      GDrop-dim      Ghyperplanes   Ginner
 Gno-planes     Gouter         Gpoints        Gridges        Gtransparent
 Gvertices

 PArea-keep     Pdrop-d0:0D0   PFacet-area-keep  Pgood       PGood-neighbors
 PMerge-keep    Poutput-forced Pprecision-not

 Qallow-short   QGood-point    QJoggle        Qrotate        Qsearch-all
 Qtriangulate   QupperDelaunay QVertex-good   Qwarn-allow    Qzinfinite
 Q12-allow-wide Q14-merge-pinched

 TFacet-log     TInput-file    TOutput-file   Tstatistics    Tverify
 Tz-stdout

 T4-trace       Tannotate      TAdd-stop      Tcheck-often   TCone-stop
 Tflush         TMerge-trace   TPoint-trace   TVertex-stop   TWide-trace

 Angle-max      Centrum-size   Random-dist    Wide-outside
qdelaunay -? # [mar'19] isatty does not work for Git for Windows

qdelaunay -- compute the Delaunay triangulation.  Qhull 2020.2.r 2020/08/31
    input (stdin): dimension, number of points, point coordinates
    comments start with a non-numeric character

options (qdelaun.htm):
    Qu   - furthest-site Delaunay triangulation
    Qt   - triangulated output
    QJ   - joggled input instead of merged facets
    Tv   - verify result: structure, convexity, and in-circle test
    .    - concise list of all options
    -    - one-line description of each option
    -?   - this message
    -V   - version

output options (subset):
    s    - summary of results (default)
    i    - vertices incident to each Delaunay region
    Fx   - extreme points (vertices of the convex hull)
    G    - Geomview output (2-d and 3-d points lifted to a paraboloid)
    m    - Mathematica output (2-d inputs lifted to a paraboloid)
    o    - OFF format (shows the points lifted to a paraboloid)
    QVn  - print Delaunay regions that include point n, -n if not
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes

examples:
    rbox c P0 D2 | qdelaunay s o          rbox c P0 D2 | qdelaunay i
    rbox c P0 D2 | qdelaunay Fv           rbox c P0 D2 | qdelaunay s Qu Fv
    rbox c G1 d D2 | qdelaunay s i        rbox c G1 d D2 | qdelaunay Qt
    rbox M3,4 z 100 D2 | qdelaunay s      rbox M3,4 z 100 D2 | qdelaunay s Qt

rbox c P0 D2 | qdelaunay s o

Delaunay triangulation by the convex hull of 5 points in 3-d:

  Number of input sites: 5
  Number of Delaunay regions: 4

Statistics for: rbox c P0 D2 | qdelaunay s o

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 5
  Number of distance tests for qhull: 7
  Number of distance tests for merging: 34
  Number of distance tests for checking: 25
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 9.9e-05

3
5 4 6
     0      0      0 
  -0.5   -0.5    0.5 
  -0.5    0.5    0.5 
   0.5   -0.5    0.5 
   0.5    0.5    0.5 
3 3 0 1 
3 0 2 1 
3 4 0 3 
3 0 4 2 
rbox c P0 D2 | qdelaunay i
4
3 0 1 
0 2 1 
4 0 3 
0 4 2 
rbox c P0 D2 | qdelaunay Fv
4
3 0 3 1
3 0 2 1
3 4 0 3
3 4 0 2
rbox c P0 D2 | qdelaunay s Qu Qt Fv

Furthest-site Delaunay triangulation by the convex hull of 5 points in 3-d:

  Number of input sites: 5
  Number of Delaunay regions: 2
  Number of triangulated facets: 1

Statistics for: rbox c P0 D2 | qdelaunay s Qu Qt Fv

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 6
  Number of distance tests for qhull: 7
  Number of distance tests for merging: 34
  Number of distance tests for checking: 25
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 9.5e-05

2
3 4 2 1
3 4 3 1
rbox c G1 d D2 | qdelaunay s i

Delaunay triangulation by the convex hull of 8 points in 3-d:

  Number of input sites: 8
  Number of Delaunay regions: 9
  Number of non-simplicial Delaunay regions: 1

Statistics for: rbox c G1 d D2 | qdelaunay s i

  Number of points processed: 8
  Number of hyperplanes created: 16
  Number of facets in hull: 10
  Number of distance tests for qhull: 41
  Number of distance tests for merging: 108
  Number of distance tests for checking: 72
  Number of merged facets: 3
  CPU seconds to compute hull (after input): 0.000159

9
2 4 0 
6 1 0 
4 6 0 
5 3 1 
6 5 1 
3 7 2 
7 4 2 
5 7 3 
4 7 5 6 
rbox c G1 d D2 | qhull d Qbb Ft
2
9 12 14
    -1     -1 
    -1      1 
     1     -1 
     1      1 
     0   -0.5 
     0    0.5 
  -0.5      0 
   0.5      0 
     0      0 
3 2 4 0 
3 6 1 0 
3 4 6 0 
3 5 3 1 
3 6 5 1 
3 3 7 2 
3 7 4 2 
3 5 7 3 
3 8 5 6 
3 8 6 4 
3 8 7 5 
3 8 4 7 
rbox c G1 d D2 | qhull d Qbb QJ s Ft

Delaunay triangulation by the convex hull of 8 points in 3-d:

  Number of input sites: 8
  Number of Delaunay regions: 10

Statistics for: rbox c G1 d D2 | qhull d Qbb QJ s Ft

  Number of points processed: 8
  Number of hyperplanes created: 19
  Number of facets in hull: 12
  Number of distance tests for qhull: 31
  CPU seconds to compute hull (after input): 0.000105
  Input joggled by: 8.3e-11

2
8 10 15
-1.000000000061343 -0.999999999957446 
-0.9999999999945448 0.9999999999532114 
1.000000000029778 -0.9999999999701502 
0.9999999999806051 1.000000000003233 
-7.748592400792811e-11 -0.5000000000743411 
2.849349704487493e-11 0.49999999991804 
-0.5000000000721135 -1.37371989142159e-11 
0.5000000000148132 7.166044474310069e-11 
3 1 5 3 
3 2 4 0 
3 7 4 2 
3 4 7 5 
3 3 7 2 
3 5 7 3 
3 1 6 5 
3 6 4 5 
3 6 1 0 
3 4 6 0 
rbox M3,4 z 100 D2 | qdelaunay s

Delaunay triangulation by the convex hull of 100 points in 3-d:

  Number of input sites: 100
  Number of Delaunay regions: 81
  Number of non-simplicial Delaunay regions: 81

Statistics for: rbox M3,4 z 100 D2 | qdelaunay s

  Number of points processed: 100
  Number of hyperplanes created: 251
  Number of facets in hull: 86
  Number of distance tests for qhull: 1650
  Number of distance tests for merging: 2765
  Number of distance tests for checking: 1248
  Number of merged facets: 155
  CPU seconds to compute hull (after input): 0.00181

rbox c P-0.1 P+0.1 P+0.1 D2 | qdelaunay s Fx Fa Fc FP FQ Fn FN

Delaunay triangulation by the convex hull of 7 points in 3-d:

  Number of input sites: 6
  Number of nearly incident points: 1
  Number of Delaunay regions: 4
  Number of non-simplicial Delaunay regions: 2

Statistics for: rbox c P-0.1 P+0.1 P+0.1 D2 | qdelaunay s Fx Fa Fc FP FQ Fn FN

  Number of points processed: 6
  Number of hyperplanes created: 7
  Number of facets in hull: 5
  Number of distance tests for qhull: 31
  Number of distance tests for merging: 54
  Number of distance tests for checking: 35
  Number of merged facets: 3
  CPU seconds to compute hull (after input): 0.000129
  Approximate facet area:    1

4
4
3
6
5
4
   0.2 
   0.2 
   0.3 
   0.3 
4
0
1 1
0
0
1
2 1 8      0 
rbox c P-0.1 P+0.1 P+0.1 D2 | qdelaunay s Fx Fa Fc FP FQ Fn FN
4
3 -1 2 3
3 -1 2 3
4 -1 0 3 1
4 0 -1 2 1
7
3 3 2 0
1 1
3 3 1 2
3 0 -1 2
3 3 -1 0
3 1 -1 2
3 1 -1 3
rbox P0 P0 c D2 | qdelaunay s FP QV0

Delaunay triangulation by the convex hull of 6 points in 3-d:

  Number of input sites: 5
  Number of nearly incident points: 1
  Number of 'good' Delaunay regions: 4

Statistics for: rbox P0 P0 c D2 | qdelaunay s FP QV0

  Number of points processed: 5
  Number of hyperplanes created: 6
  Number of facets in hull: 5
  Number of distance tests for qhull: 18
  Number of distance tests for merging: 34
  Number of distance tests for checking: 30
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 9.7e-05

1
0 1 2      0 
qhalf -

qhalf -- compute the intersection of halfspaces about a point
    http://www.qhull.org  2020.2.r 2020/08/31

input (stdin):
    optional interior point: dimension, 1, coordinates
    first lines: dimension+1 and number of halfspaces
    other lines: halfspace coefficients followed by offset
    comments:    start with a non-numeric character

options:
    Hn,n - specify coordinates of interior point
    Qc   - keep coplanar halfspaces
    Qi   - keep other redundant halfspaces
    QJ   - joggled input instead of merged facets
    Qt   - triangulated output

Qhull control options:
    Qa   - allow input with fewer or more points than coordinates
    Qbk:0Bk:0 - remove k-th coordinate from input
    QJn  - randomly joggle input in range [-n,n]
    QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)
    Qs   - search all halfspaces for the initial simplex

Qhull extra options:
    QGn  - print intersection if visible to halfspace n, -n for not
    QVn  - print intersections for halfspace n, -n if not
    Qw   - allow option warnings
    Q12  - allow wide facets and wide dupridge
    Q14  - merge pinched vertices that create a dupridge

T options:
    TFn  - report summary when n or more facets created
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes
    Ts   - statistics
    Tv   - verify result: structure, convexity, and in-circle test
    Tz   - send all output to stdout

Trace options:
    T4   - trace at level n, 4=all, 5=mem/gauss, -1= events
    Ta   - annotate output with message codes
    TAn  - stop qhull after adding n vertices
     TCn - stop qhull after building cone for point n
     TVn - stop qhull after adding point n, -n for before
    Tc   - check frequently during execution
    Tf   - flush each qh_fprintf for debugging segfaults
    TPn - turn on tracing when point n added to hull
    TMn  - turn on tracing at merge n
    TWn  - trace merge facets when width > n

Precision options:
    Cn   - radius of centrum (roundoff added).  Merge facets if non-convex
     An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex
           C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge
    Rn   - randomly perturb computations by a factor of [1-n,1+n]
    Un   - max distance below plane for a new, coplanar halfspace
    Wn   - min facet width for outside halfspace (before roundoff)

Output formats (may be combined; if none, produces a summary to stdout):
    f    - facet dump
    G    - Geomview output (dual convex hull)
    i    - non-redundant halfspaces incident to each intersection
    m    - Mathematica output (dual convex hull)
    o    - OFF format (dual convex hull: dimension, points, and facets)
    p    - vertex coordinates of dual convex hull (coplanars if 'Qc' or 'Qi')
    s    - summary (stderr)

More formats:
    Fc   - count plus redundant halfspaces for each intersection
         -   Qc (default) for coplanar and Qi for other redundant
    Fd   - use cdd format for input (homogeneous with offset first)
    FF   - facet dump without ridges
    FI   - ID of each intersection
    Fm   - merge count for each intersection (511 max)
    FM   - Maple output (dual 2-d or 3-d convex hull)
    Fn   - count plus neighboring intersections for each intersection
    FN   - count plus intersections for each halfspace
    FO   - options and precision constants
    Fp   - dim, count, and intersection coordinates
    FP   - nearest halfspace and distance for each redundant halfspace
    FQ   - command used for qhalf
    Fs   - summary: #int (8), dim, #halfspaces, #non-redundant, #intersections
                      output: #non-redundant, #intersections, #coplanar
                                  halfspaces, #non-simplicial intersections
                    #real (2), max outer plane, min vertex
    Fv   - count plus non-redundant halfspaces for each intersection
    Fx   - non-redundant halfspaces

Geomview output (2-d, 3-d and 4-d; dual convex hull)
    Ga   - all points (i.e., transformed halfspaces) as dots
     Gp  -  coplanar points and vertices as radii
     Gv  -  vertices (i.e., non-redundant halfspaces) as spheres
    Gc   - centrums
    GDn  - drop dimension n in 3-d and 4-d output
    Gh   - hyperplane intersections
    Gi   - inner planes (i.e., halfspace intersections) only
     Gn  -  no planes
     Go  -  outer planes only
    Gr   - ridges

Print options:
    PAn  - keep n largest facets (i.e., intersections) by area
    Pdk:n- drop facet if normal[k] <= n (default 0.0)
    PDk:n- drop facet if normal[k] >= n
    PFn  - keep facets whose area is at least n
    Pg   - print good facets (needs 'QGn' or 'QVn')
    PG   - print neighbors of good facets
    PMn  - keep n facets with most merges
    Po   - force output.  If error, output neighborhood of facet
    Pp   - do not report precision problems

    .    - list of all options
    -    - one line descriptions of all options
    -?   - help with examples
    -V   - version
qhalf .

Qhull 2020.2.r 2020/08/31
Except for 'F.' and 'PG', upper_case options take an argument.

 facet-dump     Geomview       H0,0-interior incidences      mathematica
 off-format     point-dual     summary

 Fc-redundant   Fd-cdd-in      FF-dump-xridge FIDs           Fmerges
 FMaple         Fneighbors     FN-intersect   FOptions       Fp-coordinates
 FP-nearest     FQhalf         Fsummary       Fv-halfspace   Fx-non-redundant

 Gall-points    Gcentrums      GDrop-dim      Ghyperplanes   Ginner
 Gno-planes     Gouter         Gpoints        Gridges        Gvertices

 PArea-keep     Pdrop-d0:0D0   PFacet-area-keep  Pgood       PGood-neighbors
 PMerge-keep    Poutput-forced Pprecision-not

 Qallow-short   Qbk:0Bk:0-drop Qcoplanar      QG-half-good   Qi-redundant
 QJoggle        QRotate        Qsearch-all    Qtriangulate   QVertex-good
 Qwarn-allow    Q12-allow-wide Q14-merge-pinched

 TFacet-log     TInput-file    TOutput-file   Tstatistics    Tverify
 Tz-stdout

 T4-trace       Tannotate      TAdd-stop      Tcheck-often   TCone-stop
 Tflush         TMerge-trace   TPoint-trace   TVertex-stop   TWide-trace

 Angle-max      Centrum-size   Random-dist    Ucoplanar-max  Wide-outside
qhalf -? # [mar'19] isatty does not work for Git for Windows

qhalf -- halfspace intersection about a point.  Qhull 2020.2.r 2020/08/31
    input (stdin): [dimension, 1, interior point]
                       dimension+1, number of halfspaces, coefficients+offset
    comments start with a non-numeric character

options (qhalf.htm):
    Hn,n - specify coordinates of interior point
    Qt   - triangulated output
    QJ   - joggled input instead of merged facets
    Tv   - verify result: structure, convexity, and redundancy
    .    - concise list of all options
    -    - one-line description of each option
    -?   - this message
    -V   - version

output options (subset):
    s    - summary of results (default)
    Fp   - intersection coordinates
    Fv   - non-redundant halfspaces incident to each intersection
    Fx   - non-redundant halfspaces
    G    - Geomview output (dual convex hull)
    m    - Mathematica output (dual convex hull)
    o    - OFF file format (dual convex hull)
    QVn  - print intersections for halfspace n, -n if not
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes

examples:
    rbox d | qconvex FQ n | qhalf s H0,0,0 Fp
    rbox c | qconvex FQ FV n | qhalf s i
    rbox c | qconvex FQ FV n | qhalf s o

rbox d | qhull FQ n | qhalf s Qt H0,0,0 Fp

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 12
  Number of triangulated facets: 6

Statistics for: rbox d | qhull FQ n | qhalf s Qt H0,0,0 Fp

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 32
  Number of distance tests for merging: 101
  Number of distance tests for checking: 48
  Number of merged facets: 7
  CPU seconds to compute hull (after input): 0.000152

3
12
     0      0   -0.5 
     0      0   -0.5 
     0   -0.5      0 
     0   -0.5      0 
  -0.5      0      0 
  -0.5      0      0 
   0.5      0      0 
   0.5      0      0 
     0    0.5      0 
     0    0.5      0 
     0      0    0.5 
     0      0    0.5 
rbox c | qhull FQ FV n | qhalf s i

Halfspace intersection by the convex hull of 6 points in 3-d:

  Number of halfspaces: 6
  Number of non-redundant halfspaces: 6
  Number of intersection points: 8

Statistics for: rbox c | qhull FQ FV n | qhalf s i

  Number of points processed: 6
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 10
  Number of distance tests for merging: 51
  Number of distance tests for checking: 48
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 0.000107

8
1 0 3 
0 1 2 
5 1 3 
1 5 2 
4 0 2 
0 4 3 
5 4 2 
4 5 3 
rbox c | qhull FQ FV n | qhalf o
3
6 8 12
    -0     -0     -2 
     0     -2      0 
     2     -0     -0 
    -2     -0     -0 
     0      2     -0 
    -0     -0      2 
3 1 0 3 
3 0 1 2 
3 5 1 3 
3 1 5 2 
3 4 0 2 
3 0 4 3 
3 5 4 2 
3 4 5 3 
rbox d D2 | qhull FQ n | qhalf s H0 Fc FP Fn FN FQ Fv Fx

Halfspace intersection by the convex hull of 4 points in 2-d:

  Number of halfspaces: 4
  Number of non-redundant halfspaces: 4
  Number of intersection points: 4

Statistics for: rbox d D2 | qhull FQ n | qhalf s H0 Fc FP Fn FN FQ Fv Fx

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 5
  CPU seconds to compute hull (after input): 6.9e-05

4
0
0
0
0
0
4
2 1 2
2 0 3
2 0 3
2 1 2
4
2 0 1
2 2 0
2 1 3
2 3 2
rbox d D2 | qhull FQ n | qhalf s H0 Fc FP Fn FN FQ Fv Fx
4
2 1 0
2 2 0
2 3 1
2 3 2
4
0
1
3
2
# qhull - printed at end
qhull .

Qhull 2020.2.r 2020/08/31
Except for 'F.' and 'PG', upper-case options take an argument.

 delaunay       facet-dump     Geomview       H0,0-interior  Halfspace
 incidences     mathematica    normals        off-format     points
 summary        voronoi

 Farea          FArea-total    Fcoplanars     FCentrums      Fd-cdd-in
 FD-cdd-out     FFacets-xridge Finner         FIDs           Fmerges
 FMaple         Fneighbors     FNeigh-vertex  Fouter         FOptions
 Fpoint-intersect  FPoint-near FQhull         Fsummary       FSize
 Ftriangles     Fvertices      Fvoronoi       FVertex-ave    Fxtremes

 Gall-points    Gcentrums      GDrop-dim      Ghyperplanes   Ginner
 Gno-planes     Gouter         Gpoints        Gridges        Gtransparent
 Gvertices

 PArea-keep     Pdrop-d0:0D0   PFacet-area-keep  Pgood       PGood-neighbors
 PMerge-keep    Poutput-forced Pprecision-not

 Qallow-short   QbBound-0:0.5  QbB-scale-box  Qbb-scale-last Qbk:0Bk:0-drop
 Qcoplanar      Qinterior      QJoggle        QRotate        Qsearch-all
 Qtriangulate   QupperDelaunay Qwarn-allow    Qxact-merge    Qzinfinite

 Qfurthest      Qgood-only     QGood-point    Qmax-outside   Qrandom
 Qvneighbors    QVertex-good

 Q0-no-premerge Q1-angle-merge     Q2-no-independ  Q3-no-redundant
 Q4-no-old      Q5-no-check-out    Q6-no-concave   Q7-depth-first
 Q8-no-near-in  Q9-pick-furthest   Q10-no-narrow   Q11-trinormals
 Q12-allow-wide Q14-merge-pinched  Q15-duplicates

 TFacet-log     TInput-file    TOutput-file   Tstatistics    Tverify
 Tz-stdout

 T4-trace       Tannotate      TAdd-stop      Tcheck-often   TCone-stop
 Tflush         TMerge-trace   TPoint-trace   TRerun         TVertex-stop
 TWide-trace

 Angle-max      Centrum-size   Error-round    Random-dist    Ucoplanar-max
 Visible-min    Wide-outside
qhull -? # [mar'19] isatty does not work for Git for Windows

qhull -- compute convex hulls and related structures.  Qhull 2020.2.r 2020/08/31
    input (stdin): dimension, number of points, point coordinates
    comments start with a non-numeric character
    halfspace: use dim+1 and put offsets after coefficients

options (qh-quick.htm):
    d    - Delaunay triangulation by lifting points to a paraboloid
    d Qu - furthest-site Delaunay triangulation (upper convex hull)
    v    - Voronoi diagram as the dual of the Delaunay triangulation
    v Qu - furthest-site Voronoi diagram
    H1,1 - Halfspace intersection about [1,1,0,...] via polar duality
    Qt   - triangulated output
    QJ   - joggled input instead of merged facets
    Tv   - verify result: structure, convexity, and point inclusion
    .    - concise list of all options
    -    - one-line description of each option
    -?   - this message
    -V   - version

Output options (subset):
    s    - summary of results (default)
    i    - vertices incident to each facet
    n    - normals with offsets
    p    - vertex coordinates (if 'Qc', includes coplanar points)
           if 'v', Voronoi vertices
    FA   - report total area and volume
    Fp   - halfspace intersections
    FS   - total area and volume
    Fx   - extreme points (convex hull vertices)
    G    - Geomview output (2-d, 3-d and 4-d)
    m    - Mathematica output (2-d and 3-d)
    o    - OFF format (if 'v', outputs Voronoi regions)
    QVn  - print facets that include point n, -n if not
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes

examples:
    rbox D4 | qhull Tv                        rbox 1000 s | qhull Tv s FA
    rbox 10 D2 | qhull d QJ s i TO result     rbox 10 D2 | qhull v Qbb Qt p
    rbox 10 D2 | qhull d Qu QJ m              rbox 10 D2 | qhull v Qu QJ o
    rbox c d D2 | qhull Qc s f Fx | more      rbox c | qhull FV n | qhull H Fp
    rbox d D12 | qhull QR0 FA                 rbox c D7 | qhull FA TF1000
    rbox y 1000 W0 | qhull Qc                 rbox c | qhull n

rbox 1000 s | qhull Tv s FA

Convex hull of 1000 points in 3-d:

  Number of vertices: 1000
  Number of facets: 1996

Statistics for: rbox 1000 s | qhull Tv s FA

  Number of points processed: 1000
  Number of hyperplanes created: 5544
  Number of distance tests for qhull: 25487
  CPU seconds to compute hull (after input): 0.01163
  Total facet area:   3.1201951
  Total volume:       0.51650274


qhull output completed.  Verifying that 1000 points are
below 2.1e-15 of the nearest facet.
rbox 10 D2 | qhull d QJ s i TO q_test.log.1

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 14

Statistics for: rbox 10 D2 | qhull d QJ s i TO q_test.log.1

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of facets in hull: 16
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000117
  Input joggled by: 4e-11

cat q_test.log.1
14
9 7 0 
8 9 0 
3 4 1 
3 7 4 
7 2 4 
0 5 1 
7 5 0 
5 3 1 
3 5 7 
6 7 9 
6 2 7 
8 6 9 
6 8 4 
2 6 4 
rbox 10 D2 | qhull v Qbb Qt p
2
14
-0.1294381801544404 -0.07247409101984714 
0.08267689532419747 -0.2397644955865706 
0.1295260566906465 1.716033573116837 
0.1740355150742391 0.5317519038435655 
0.1851415205797575 0.3882545794457364 
-0.9065939866848107 -0.2962957610652135 
-0.1954805620516266 -0.07111892482963184 
-0.1407581310832468 0.7233857048236082 
-0.1676297826663962 0.2080621273999375 
0.05868313821742954 0.06632066014880154 
0.08806341399736994 0.1054080604689985 
0.4761588899009253 -0.03168366595227294 
3.094213357897477 -0.064721945677682 
0.5410515627308725 0.2115615434955919 
rbox 10 D2 | qhull d Qu QJ m              
{
Polygon[{{      0.37903124,       0.37797944,       0.29963416},
{     -0.02222276,      -0.49797278,       0.23792952},
{     -0.42854319,       0.47458265,       0.49797278}}],
Polygon[{{      0.34431227,      -0.14373122,       0.06080143},
{     -0.02222276,      -0.49797278,       0.23792952},
{      0.37903124,       0.37797944,       0.29963416}}]}
rbox 10 D2 | qhull v Qu QJ o
2
3 10 1
-10.101 -10.101 
-0.06934933488573394 0.05349366577046777 
-0.3051278692468022 0.16149850548211 
3 0 2 1
2 0 1
0
0
3 0 1 2
0
0
0
2 0 2
0
rbox c d D2 | qhull Qc s f Fx      

Convex hull of 8 points in 2-d:

  Number of vertices: 4
  Number of coplanar points: 4
  Number of facets: 4

Statistics for: rbox c d D2 | qhull Qc s f Fx

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 35
  CPU seconds to compute hull (after input): 8.2e-05

Vertices and facets:
- p2(v2):   0.5  -0.5
- p0(v1):  -0.5  -0.5
- p1(v3):  -0.5   0.5
- p3(v4):   0.5   0.5
- f1
    - flags: bottom simplicial
    - normal:        -0       -1
    - offset:       -0.5
    - coplanar set(furthest p4):
      p4:         0     -0.5
      furthest distance=  0
    - vertices: p2(v2) p0(v1)
    - neighboring facets: f2 f4
- f2
    - flags: top simplicial
    - normal:        -1        0
    - offset:       -0.5
    - coplanar set(furthest p6):
      p6:      -0.5        0
      furthest distance=  0
    - vertices: p1(v3) p0(v1)
    - neighboring facets: f1 f5
- f4
    - flags: bottom simplicial
    - normal:         1       -0
    - offset:       -0.5
    - coplanar set(furthest p7):
      p7:       0.5        0
      furthest distance=  0
    - vertices: p3(v4) p2(v2)
    - neighboring facets: f1 f5
- f5
    - flags: top simplicial
    - normal:         0        1
    - offset:       -0.5
    - coplanar set(furthest p5):
      p5:         0      0.5
      furthest distance=  0
    - vertices: p3(v4) p1(v3)
    - neighboring facets: f2 f4
4
0
2
3
1
rbox c | qhull FV n | qhull H Fp
3
8
  -0.5   -0.5   -0.5 
   0.5   -0.5   -0.5 
  -0.5   -0.5    0.5 
   0.5   -0.5    0.5 
   0.5    0.5   -0.5 
  -0.5    0.5   -0.5 
   0.5    0.5    0.5 
  -0.5    0.5    0.5 
rbox d D12 | qhull QR0 FA                 

Convex hull of 24 points in 12-d:

  Number of vertices: 24
  Number of facets: 4096

Statistics for: rbox d D12 | qhull QR0 FA QR1607059686

  Number of points processed: 24
  Number of hyperplanes created: 4108
  Number of distance tests for qhull: 4215
  Number of distance tests for merging: 121143
  Number of distance tests for checking: 98304
  Number of merged facets: 2036
  CPU seconds to compute hull (after input): 0.09537
  Approximate facet area:   1.735661e-07
  Approximate volume:       2.0876757e-09

rbox c D7 | qhull FA TF1000

At 05:28:06 & 0.006424 CPU secs, qhull has created 1048 facets and merged 469.
 The current hull contains 230 facets and 24 vertices.  There are 104
 outside points.  Next is point p79(v25), 0.66 above f145.

At 05:28:06 & 0.014965 CPU secs, qhull has created 2146 facets and merged 1272.
 The current hull contains 273 facets and 31 vertices.  There are 97
 outside points.  Next is point p120(v32), 0.54 above f437.

At 05:28:06 & 0.024586 CPU secs, qhull has created 3310 facets and merged 2244.
 The current hull contains 243 facets and 36 vertices.  There are 92
 outside points.  Next is point p60(v37), 0.54 above f1338.

At 05:28:06 & 0.033212 CPU secs, qhull has created 4322 facets and merged 3099.
 The current hull contains 249 facets and 42 vertices.  There are 86
 outside points.  Next is point p30(v43), 0.54 above f2005.

At 05:28:06 & 0.043279 CPU secs, qhull has created 5491 facets and merged 4196.
 The current hull contains 186 facets and 48 vertices.  There are 80
 outside points.  Next is point p21(v49), 0.5 above f2995.

At 05:28:06 & 0.053764 CPU secs, qhull has created 6589 facets and merged 5175.
 The current hull contains 194 facets and 53 vertices.  There are 75
 outside points.  Next is point p56(v54), 0.28 above f3731.

At 05:28:06 & 0.066178 CPU secs, qhull has created 7867 facets and merged 6337.
 The current hull contains 203 facets and 60 vertices.  There are 68
 outside points.  Next is point p76(v61), 0.29 above f5879.

At 05:28:06 & 0.078061 CPU secs, qhull has created 8971 facets and merged 7362.
 The current hull contains 179 facets and 67 vertices.  There are 61
 outside points.  Next is point p80(v68), 0.23 above f7175.

At 05:28:06 & 0.090255 CPU secs, qhull has created 9984 facets and merged 8352.
 The current hull contains 104 facets and 77 vertices.  There are 51
 outside points.  Next is point p96(v78), 0.41 above f6748.

At 05:28:06 & 0.10421 CPU secs, qhull has created 10990 facets and merged 9326.
 The current hull contains 54 facets and 90 vertices.  There are 38
 outside points.  Next is point p18(v91), 0.41 above f10178.

At 05:28:06 & 0.1169 CPU secs, qhull has created 11996 facets and merged 10295.
 The current hull contains 34 facets and 114 vertices.  There are 14
 outside points.  Next is point p19(v115), 0.38 above f11792.

At 05:28:06 & 0.12572 CPU secs, qhull has created 12860 facets and merged 11072.
 The current hull contains 14 facets and 128 vertices.  Last point was p77

Convex hull of 128 points in 7-d:

  Number of vertices: 128
  Number of facets: 14
  Number of non-simplicial facets: 14

Statistics for: rbox c D7 | qhull FA TF1000

  Number of points processed: 128
  Number of hyperplanes created: 1789
  Number of distance tests for qhull: 10122
  Number of distance tests for merging: 87203
  Number of distance tests for checking: 0
  Number of merged facets: 11072


First post-merge with 'C4.4e-15' and 'A1.8e+308'

At 05:28:06 & 0.12768 CPU secs, qhull has created 12860 facets and merged 11072.
 The current hull contains 14 facets and 128 vertices.  Last point was p77

Testing all coplanar points.
computing area of each facet and volume of the convex hull

Convex hull of 128 points in 7-d:

  Number of vertices: 128
  Number of facets: 14
  Number of non-simplicial facets: 14

Statistics for: rbox c D7 | qhull FA TF1000

  Number of points processed: 128
  Number of hyperplanes created: 1789
  Number of distance tests for qhull: 10122
  Number of distance tests for merging: 87371
  Number of distance tests for checking: 1792
  Number of merged facets: 11072
  CPU seconds to compute hull (after input): 0.128
  Approximate facet area:   14
  Approximate volume:        1

rbox y 1000 W0 | qhull Qc                 

Convex hull of 1004 points in 3-d:

  Number of vertices: 4
  Number of coplanar points: 1000
  Number of facets: 4

Statistics for: rbox y 1000 W0 | qhull Qc

  Number of points processed: 4
  Number of hyperplanes created: 4
  Number of distance tests for qhull: 11000
  CPU seconds to compute hull (after input): 0.000914

rbox c | qhull n
4
6
    -0     -0     -1   -0.5 
     0     -1      0   -0.5 
     1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
     0      1     -0   -0.5 
    -0     -0      1   -0.5 
rbox c | qhull TA1

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 8 points in 3-d:

  Number of vertices: 5
  Number of facets: 6

Statistics for: rbox c | qhull TA1

  Number of points processed: 5
  Number of hyperplanes created: 8
  Number of distance tests for qhull: 25
  CPU seconds to compute hull (after input): 7.9e-05

rbox 10 s | qhull C1e-5 T1P-1f
[QH1008]qh_readpoints: read in 10 3-dimensional points
[QH0013]qh_initqhull_globals: for rbox 10 s | qhull C1e-5 T1P-1f

Trace level T1, IStracing 0, point TP-1, merge TM0, dist TW1.8e+308, qh.tracefacet_id -1, traceridge_id -1, tracevertex_id -1, last qh.RERUN 0, rbox 10 s | qhull C1e-5 T1P-1f
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950314283  Centrum-postmerge 1e-05  Trace-point -1  Tflush  _pre-merge
  _max-width 0.88  Error-roundoff 6.7e-16  _one-merge 3e-05
  _near-inside 0.00015  Visible-distance 1.3e-15  U-max-coplanar 1.3e-15
  Width-outside 2.7e-15  _wide-facet 8e-15
[QH2112]qh_qhull: finished qh_buildhull and qh_postmerge, start tracing (TP-1)
[QH1022]qh_check_maxout: check and update qh.min_vertex -6.7e-16 and qh.max_outside 1.1e-16
[QH1055]qh_check_maxout: determine actual maxoutside
[QH1024]qh_check_maxout:  p7(v6) is qh.min_vertex -6.7e-16 below facet f4.  Point p2 for f4 is qh.max_outside 1.1e-16 above f4.  0 points are outside of not-good facets
[QH1036]Qhull: algorithm completed
[QH1027]qh_checkpolygon: check all facets from f4, qh.NEWtentative? 0
[QH1062]qh_checkconvex: check that facets are not-flipped and that their centrums are convex by qh.DISTround ('En', 'Rn') 

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 s | qhull C1e-5 T1P-1f

  Number of points processed: 10
  Number of hyperplanes created: 27
  Number of distance tests for qhull: 51
  CPU seconds to compute hull (after input): 0.000347

[QH1006]qh_freeqhull: free global memory
[QH1005]qh_freebuild: free memory from qh_inithull and qh_buildhull
[QH1061]qh_freeqhull: clear qhT except for qh.qhmem and qh.qhstat

set +v
=== check quality of Qhull for mb-lxc-01 Fri Dec 4 05:28:06 UTC 2020
rbox 1000 W0 | qhull QR2 QJ s Fs Tv

Convex hull of 1000 points in 3-d:

  Number of vertices: 144
  Number of facets: 284

Statistics for: rbox 1000 W0 | qhull QR2 QJ s Fs Tv QR2

  Number of points processed: 171
  Number of hyperplanes created: 1233
  Number of distance tests for qhull: 33543
  CPU seconds to compute hull (after input): 0.004576
  After 1 retries, input joggled by: 2.9e-11

10 3 1000 144 284 144 284 0 0 33 0
2 5.045982607091333e-11 -5.045982607091333e-11

Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 284000 distance computations.
rbox 1000 W0 | qhull QR2 s Fs Tv

Convex hull of 1000 points in 3-d:

  Number of vertices: 84
  Number of facets: 98
  Number of non-simplicial facets: 6

Statistics for: rbox 1000 W0 | qhull QR2 s Fs Tv QR2

  Number of points processed: 97
  Number of hyperplanes created: 299
  Number of distance tests for qhull: 18050
  Number of distance tests for merging: 3163
  Number of distance tests for checking: 15481
  Number of merged facets: 92
  CPU seconds to compute hull (after input): 0.003319

10 3 1000 84 98 84 98 0 6 13 0
2 1.942124858599573e-15 -1.241679291552168e-15

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 98000 distance computations.
rbox 1000 s | qhull C0.02 Qc Tv

Convex hull of 1000 points in 3-d:

  Number of vertices: 110
  Number of coplanar points: 890
  Number of facets: 57
  Number of non-simplicial facets: 57

Statistics for: rbox 1000 s | qhull C0.02 Qc Tv

  Number of points processed: 1000
  Number of hyperplanes created: 5544
  Number of distance tests for qhull: 81537
  Number of distance tests for merging: 80706
  Number of distance tests for checking: 8256
  Number of merged facets: 1939
  CPU seconds to compute hull (after input): 0.03899
  Maximum distance of vertex below facet: -0.079 (1.3x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 57000 distance computations.
rbox 500 s D4 | qhull C0.01 Qc Tv

Convex hull of 500 points in 4-d:

  Number of vertices: 462
  Number of coplanar points: 38
  Number of facets: 345
  Number of non-simplicial facets: 332

Statistics for: rbox 500 s D4 | qhull C0.01 Qc Tv

  Number of points processed: 500
  Number of hyperplanes created: 11283
  Number of distance tests for qhull: 42789
  Number of distance tests for merging: 217359
  Number of distance tests for checking: 12552
  Number of merged facets: 2821
  CPU seconds to compute hull (after input): 0.07202
  Maximum distance of vertex below facet: -0.08 (2.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 172500 distance computations.
rbox 1000 s | qhull C-0.02 Qc Tv

Convex hull of 1000 points in 3-d:

  Number of vertices: 52
  Number of coplanar points: 948
  Number of facets: 47
  Number of non-simplicial facets: 38

Statistics for: rbox 1000 s | qhull C-0.02 Qc Tv

  Number of points processed: 53
  Number of hyperplanes created: 214
  Number of distance tests for qhull: 47445
  Number of distance tests for merging: 2943
  Number of distance tests for checking: 19555
  Number of merged facets: 107
  CPU seconds to compute hull (after input): 0.006115
  Maximum distance of point above facet: 0.039 (0.7x)
  Maximum distance of vertex below facet: -0.057 (0.9x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 47000 distance computations.
rbox 1000 s D4 | qhull C-0.01 Qc Tv

Convex hull of 1000 points in 4-d:

  Number of vertices: 126
  Number of coplanar points: 874
  Number of facets: 206
  Number of non-simplicial facets: 148

Statistics for: rbox 1000 s D4 | qhull C-0.01 Qc Tv

  Number of points processed: 126
  Number of hyperplanes created: 1371
  Number of distance tests for qhull: 414344
  Number of distance tests for merging: 73447
  Number of distance tests for checking: 124140
  Number of merged facets: 1331
  CPU seconds to compute hull (after input): 0.05842
  Maximum distance of point above facet: 0.068 (1.7x)
  Maximum distance of vertex below facet: -0.1 (2.6x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 206000 distance computations.
rbox 200 s D5 | qhull C-0.01 Qx Qc Tv 

Convex hull of 200 points in 5-d:

  Number of vertices: 161
  Number of coplanar points: 39
  Number of facets: 416
  Number of non-simplicial facets: 365

Statistics for: rbox 200 s D5 | qhull C-0.01 Qx Qc Tv

  Number of points processed: 161
  Number of hyperplanes created: 4552
  Number of distance tests for qhull: 229096
  Number of distance tests for merging: 309307
  Number of distance tests for checking: 54701
  Number of merged facets: 6165
  CPU seconds to compute hull (after input): 0.1126
  Maximum distance of point above facet: 0.059 (1.2x)
  Maximum distance of vertex below facet: -0.1 (2.1x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 83200 distance computations.
rbox 100 s D6 | qhull C-0.001 Qx Qc Tv

Convex hull of 100 points in 6-d:

  Number of vertices: 100
  Number of facets: 4454
  Number of non-simplicial facets: 809

Statistics for: rbox 100 s D6 | qhull C-0.001 Qx Qc Tv

  Number of points processed: 100
  Number of hyperplanes created: 19805
  Number of distance tests for qhull: 33228
  Number of distance tests for merging: 330047
  Number of distance tests for checking: 88758
  Number of merged facets: 3862
  CPU seconds to compute hull (after input): 0.1698
  Maximum distance of point above facet: 0.003 (0.5x)
  Maximum distance of vertex below facet: -0.014 (2.3x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 445400 distance computations.
rbox 1000 W1e-4 | qhull C-1e-6 Qc Tv

Convex hull of 1000 points in 3-d:

  Number of vertices: 145
  Number of coplanar points: 87
  Number of facets: 243
  Number of non-simplicial facets: 29

Statistics for: rbox 1000 W1e-4 | qhull C-1e-6 Qc Tv

  Number of points processed: 185
  Number of hyperplanes created: 940
  Number of distance tests for qhull: 40788
  Number of distance tests for merging: 7744
  Number of distance tests for checking: 6136
  Number of merged facets: 143
  CPU seconds to compute hull (after input): 0.006689
  Maximum distance of point above facet: 8.3e-07 (0.3x)
  Maximum distance of vertex below facet: -3.9e-06 (1.3x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 243000 distance computations.
rbox 1000 W5e-4 D4 | qhull C-1e-5 Qc Tv

Convex hull of 1000 points in 4-d:

  Number of vertices: 291
  Number of coplanar points: 645
  Number of facets: 1270
  Number of non-simplicial facets: 150

Statistics for: rbox 1000 W5e-4 D4 | qhull C-1e-5 Qc Tv

  Number of points processed: 365
  Number of hyperplanes created: 6253
  Number of distance tests for qhull: 173452
  Number of distance tests for merging: 91161
  Number of distance tests for checking: 56354
  Number of merged facets: 1354
  CPU seconds to compute hull (after input): 0.04455
  Maximum distance of point above facet: 0.00013 (3.3x)
  Maximum distance of vertex below facet: -0.00021 (5.4x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1270000 distance computations.
rbox 400 W1e-3 D5 | qhull C-1e-5 Qx Qc Tv

Convex hull of 400 points in 5-d:

  Number of vertices: 306
  Number of coplanar points: 33
  Number of facets: 5557
  Number of non-simplicial facets: 287

Statistics for: rbox 400 W1e-3 D5 | qhull C-1e-5 Qx Qc Tv

  Number of points processed: 338
  Number of hyperplanes created: 24498
  Number of distance tests for qhull: 262194
  Number of distance tests for merging: 271068
  Number of distance tests for checking: 90075
  Number of merged facets: 1472
  CPU seconds to compute hull (after input): 0.1554
  Maximum distance of point above facet: 5.5e-05 (1.1x)
  Maximum distance of vertex below facet: -0.0001 (2.1x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2222800 distance computations.

set +v
=== check input format etc. Fri Dec 4 05:28:08 UTC 2020
qhull <<EOF
2 4 input comment
1 0 1 1 1 2  0 0
EOF

Convex hull of 4 points in 2-d:

  Number of vertices: 3
  Number of facets: 3

Statistics for: input comment | qhull

  Number of points processed: 3
  Number of hyperplanes created: 4
  Number of distance tests for qhull: 8
  CPU seconds to compute hull (after input): 9.1e-05

qhull <<EOF
2 4 input comment
1 0 1 1 1 2  0 0 0
EOF
QH6410 qhull error: instead of 4 points in 2-d, input contains 4 points and 1 extra coordinates.
    Line 1 is the first comment.
    Line 2 is the first point.
    Line 2 is the first long line.
    Override with option 'Qa' (allow-short)

While executing: input comment | qhull
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950347897  _maxoutside  0
qhull Qa <<EOF
2 4 input comment
1 0 1 1 1 2  0 0 0
EOF
QH7073 qhull warning: instead of 4 points in 2-d, input contains 4 points and 1 extra coordinates.
    Line 1 is the first comment.
    Line 2 is the first point.
    Line 2 is the first long line.
    Continuing with 4 points.

Convex hull of 4 points in 2-d:

  Number of vertices: 3
  Number of facets: 3

Statistics for: input comment | qhull Qa

  Number of points processed: 3
  Number of hyperplanes created: 4
  Number of distance tests for qhull: 8
  CPU seconds to compute hull (after input): 7.2e-05

qhull <<EOF
2 4 input comment
1 0 1 1 1 2  0
EOF
QH6410 qhull error: instead of 4 points in 2-d, input contains 3 points and 1 extra coordinates.
    Line 1 is the first comment.
    Line 2 is the first point.
    Line 2 is the first long line.
    Override with option 'Qa' (allow-short)

While executing: input comment | qhull
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950347897  _maxoutside  0
qhull Qa <<EOF
2 4 input comment
1 0 1 1 1 2  0
EOF
QH7073 qhull warning: instead of 4 points in 2-d, input contains 3 points and 1 extra coordinates.
    Line 1 is the first comment.
    Line 2 is the first point.
    Line 2 is the first long line.
    Continuing with 3 points.
QH6013 qhull input error: input is less than 2-dimensional since all points have the same x coordinate    1

While executing: input comment | qhull Qa
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950347897  Qallow-short  _pre-merge  _zero-centrum  _max-width  2
  Error-roundoff 1.7e-15  _one-merge 8.6e-15  _near-inside 4.3e-14
  Visible-distance 3.4e-15  U-max-coplanar 3.4e-15  Width-outside 6.9e-15
  _wide-facet 2.1e-14  _maxoutside 1e-14
qhull <<EOF
2 
4 input comment
1 #another comment
0 1 1 1 2  0
EOF
QH6410 qhull error: instead of 4 points in 2-d, input contains 3 points and 1 extra coordinates.
    Line 2 is the first comment.
    Line 3 is the first point.
    Line 3 is the first short line.
    Line 4 is the first long line.
    Override with option 'Qa' (allow-short)

While executing: input comment | qhull
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950347897  _maxoutside  0
qhull <<EOF
2 4  1 0  1 1  1 2  0 0
EOF

Convex hull of 4 points in 2-d:

  Number of vertices: 3
  Number of facets: 3

Statistics for:  | qhull

  Number of points processed: 3
  Number of hyperplanes created: 4
  Number of distance tests for qhull: 8
  CPU seconds to compute hull (after input): 6.5e-05

qhull d Qz <<EOF
2 5  1 0  1 1  0 1  0 0  0
EOF
QH6410 qhull error: instead of 5 points in 2-d, input contains 4 points and 1 extra coordinates.
    Line 1 is the first point.
    Line 1 is the first long line.
    Override with option 'Qa' (allow-short)

While executing:  | qhull d Qz
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950347897  delaunay  Qz-infinity-point  _maxoutside  0
qhull d Q8 Qz <<EOF
2 5  1 0  1 1  0 1  0 0  0
EOF
QH6410 qhull error: instead of 5 points in 2-d, input contains 4 points and 1 extra coordinates.
    Line 1 is the first point.
    Line 1 is the first long line.
    Override with option 'Qa' (allow-short)

While executing:  | qhull d Q8 Qz
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950347897  delaunay  Q8-no-near-inside  Qz-infinity-point
  _maxoutside  0
rbox d h | qhull Fd FV n FD Tcv | qhull Fd H Fp Tcv

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.
3
6
     0      0   -0.5 
     0   -0.5      0 
  -0.5      0      0 
   0.5      0      0 
     0    0.5      0 
     0      0    0.5 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.
rbox 10 h | qhull Fd FD p Tcv | qhull Fd d Tcv 

Output completed.  Verifying that all points are below 1.7e-15 of
all facets.  Will make 140 distance computations.

Delaunay triangulation by the convex hull of 9 points in 4-d:

  Number of input sites: 9
  Number of Delaunay regions: 11

Statistics for: rbox 10 h | qhull Fd FD p Tcv | qhull Fd d Tcv

  Number of points processed: 9
  Number of hyperplanes created: 34
  Number of facets in hull: 22
  Number of distance tests for qhull: 45
  CPU seconds to compute hull (after input): 0.000172


Output completed.  Verifying that all points are below 2.5e-15 of
all facets.  Will make 99 distance computations.

set +v
=== check rbox Fri Dec 4 05:28:08 UTC 2020
rbox 3 n D2
2
3
0.2234321234034673 0.2236923805658635 
-0.4021654933711192 -0.1954478539484067 
0.1079163058734651 -0.2506519423338137 
rbox 3 D2
2 rbox 3 D2
3
-0.3570490315156514 0.07692619792830779 
-0.1013959339832849 -0.1614655765345931 
0.2480525339469802 0.01893219260399437 
rbox 3 h D2
rbox 3 h D2
begin
        3 3 real
     1 0.16093073846859 -0.2370837309743126 
     1 0.3337314574362071 0.02459860548805315 
     1 0.4287583324394733 0.141286041719174 
end
hull
rbox 3 z D2
2 rbox 3 z D2
3
696870 290489 
252081 728918 
932465 -69056 
rbox 3 z h D2
rbox 3 z h D2
begin
        3 3 integer
1 -951655 -464136 
1 -741320 630989 
1 -964370 -171508 
end
hull
rbox 3 B10 D2
2 rbox 3 B10 D2
3
6.07777520648928 9.167769643634342 
2.704250554278727 -9.661033665445665 
7.007182209759188 9.71126632738045 
rbox 3 B10 D2 C2,1E-13,1
2 rbox 3 B10 D2 C2,1E-13,1
5
-9.999843472614739 -7.369244235911633 
-9.999843472614687 -7.369244235911641 
-9.999843472614732 -7.369244235911689 
-9.05910767527214 3.577294343688799 
3.585928123058684 8.693857927521558 
rbox 3 z B10 D2
2 rbox 3 z B10 D2
3
5 2 
5 -1 
3 9 
rbox 4 L2 r D2
2 rbox 4 L2 r D2
6
   0.5      0
0.1736481776669304 0.1187823492277694
0.1736481776669304 -0.1187823492277694
-0.1736481776669304 0.1187823492277694
-0.1736481776669304 -0.1187823492277694
  -0.5      0
rbox 8 L2 r D2
2 rbox 8 L2 r D2
14
   0.5      0
0.365341024366395 0.06484834485976565
0.365341024366395 -0.06484834485976565
0.2225209339563144 0.108902508397385
0.2225209339563144 -0.108902508397385
0.07473009358642427 0.1311783933967415
0.07473009358642427 -0.1311783933967415
-0.07473009358642424 0.1311783933967415
-0.07473009358642424 -0.1311783933967415
-0.2225209339563144 0.108902508397385
-0.2225209339563144 -0.108902508397385
-0.365341024366395 0.06484834485976565
-0.365341024366395 -0.06484834485976565
  -0.5      0
rbox 8 L2 D2 C1,1E-13,2
2 rbox 8 L2 D2 C1,1E-13,2
10
-0.4014722424908947 -0.04984578721860422 
-0.4014722424908402 -0.04984578721870322 
-0.3537770307209493 0.06930438433003638 
-0.353777030720961 0.06930438433002231 
-0.4536521880095642 -0.02515341795345205 
0.09926382627500697 0.1290357464938974 
0.4803069842605469 -0.01107504705944207 
-0.4407884497398482 0.03158561585376829 
-0.43365738760839 -0.03505243423659854 
0.1399579896503841 -0.1241320388139711 
rbox 4 L4 r D3
3 rbox 4 L4 r D3
12
   0.5      0      0
  0.25      0 0.04782181019473453
  0.25      0 -0.04782181019473453
3.061616997868383e-17    0.5      0
1.530808498934192e-17   0.25 0.04782181019473453
1.530808498934192e-17   0.25 -0.04782181019473453
  -0.5 6.123233995736766e-17      0
 -0.25 3.061616997868383e-17 0.04782181019473453
 -0.25 3.061616997868383e-17 -0.04782181019473453
-9.184850993605148e-17   -0.5      0
-4.592425496802574e-17  -0.25 0.04782181019473453
-4.592425496802574e-17  -0.25 -0.04782181019473453
rbox 4 L4 s D5 W1e-3 
5 rbox 4 L4 s D5 W1e-3
4
-0.1779876601833928 -0.1311655069863711 0.09099061083332423 -0.0147197628642461 0.0491007664448838 
0.08530477699633816 0.08551065958609008 0.2073152333839907 -0.05556059038062115 0.04824638578429845 
-0.2043906348252541 0.01359444539903207 0.07833891569611255 -0.2253375927975145 0.03863248544102459 
0.07678497944972421 0.03657959246981071 0.1769587053753909 0.1423142450665639 -0.04874898497507386 
rbox 4 L4 s D5 W1e-3 C1,1E-12
5 rbox 4 L4 s D5 W1e-3 C1,1E-12
8
0.0002946652970602764 0.01409557808797486 -0.004433138692070485 0.02830701320254122 0.06321803825410263 
0.0002946652976213024 0.01409557808713995 -0.004433138692549452 0.02830701320252706 0.0632180382541969 
0.0395007958298621 0.08424796754402081 0.05096384542027204 -0.09702947578293189 -0.05829868829611209 
0.03950079583077567 0.08424796754434548 0.05096384542100907 -0.0970294757837081 -0.05829868829594329 
-0.04232294908783042 0.03923635869829208 -0.002523757174853624 -0.007690531229328437 -0.06262981797685649 
-0.04232294908753993 0.0392363586986717 -0.00252375717458491 -0.007690531229051642 -0.06262981797676299 
-0.1462855747417375 0.02301178389047249 0.1483804611920676 -0.1253035217565061 -0.04852571310121132 
-0.1462855747427029 0.0230117838896562 0.1483804611927586 -0.1253035217563368 -0.04852571310078617 
rbox y
3 rbox y
4
-0.3062920647731908 0.1492658412542808 -0.2890111205997049 
-0.4099055704752966 -0.2829236833219637 -0.09834729097629646 
0.07707741817187275 0.4401626986825491 -0.1855306003107974 
-0.2128018845923262 0.4387234094913336 -0.3756640258949846 
rbox 10 M3,4 
3 rbox 10 M3,4
10
     0      0      0 
     3      4      0 
     6      8      0 
    -4      3      0 
    -1      7      0 
     2     11      0 
    -8      6      0 
    -5     10      0 
    -2     14      0 
     0      0      5 
rbox 10 M3,4 C1,1E-14
3 rbox 10 M3,4 C1,1E-14
20
     0      0      0 
2.814732056869875e-15 7.201579527185838e-15 -3.053021210295168e-15 
     3      4      0 
3.000000000000008 3.999999999999992 4.994823238807566e-15 
     6      8      0 
6.000000000000008 7.999999999999996 1.743024766205834e-15 
    -4      3      0 
-4.000000000000005 2.999999999999993 -4.748389036160324e-15 
    -1      7      0 
-1.000000000000006 7.000000000000004 -1.260957588684708e-16 
     2     11      0 
2.000000000000001 11.00000000000001 2.063112521602872e-16 
    -8      6      0 
-7.999999999999993 6.000000000000001 6.666691421220716e-16 
    -5     10      0 
-4.999999999999996 9.999999999999991 4.071436025268804e-15 
    -2     14      0 
-1.999999999999991     14 -7.015196799314765e-15 
     0      0      5 
-4.412629440811118e-15 -3.063055438048258e-15 4.999999999999999 
rbox 27 M1,0,1
3 rbox 27 M1,0,1
27
     0      0      0 
     1      0      0 
     2      0      0 
     0      1      0 
     1      1      0 
     2      1      0 
     0      2      0 
     1      2      0 
     2      2      0 
     0      0      1 
     1      0      1 
     2      0      1 
     0      1      1 
     1      1      1 
     2      1      1 
     0      2      1 
     1      2      1 
     2      2      1 
     0      0      2 
     1      0      2 
     2      0      2 
     0      1      2 
     1      1      2 
     2      1      2 
     0      2      2 
     1      2      2 
     2      2      2 
rbox 10 L4 r D3 | qhull Tcv

Convex hull of 30 points in 3-d:

  Number of vertices: 30
  Number of facets: 22
  Number of non-simplicial facets: 22

Statistics for: rbox 10 L4 r D3 | qhull Tcv

  Number of points processed: 30
  Number of hyperplanes created: 62
  Number of distance tests for qhull: 307
  Number of distance tests for merging: 765
  Number of distance tests for checking: 730
  Number of merged facets: 43
  CPU seconds to compute hull (after input): 0.001432


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 660 distance computations.
rbox 10 L4 s D5 W1e-3 | qhull Tcv

Convex hull of 10 points in 5-d:

  Number of vertices: 10
  Number of facets: 40

Statistics for: rbox 10 L4 s D5 W1e-3 | qhull Tcv

  Number of points processed: 10
  Number of hyperplanes created: 64
  Number of distance tests for qhull: 69
  CPU seconds to compute hull (after input): 0.000301

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below 2.2e-15 of
all facets.  Will make 400 distance computations.
rbox 10 L4 s D5 W1e-3 C1,1E-12 | qhull Tcv

Convex hull of 20 points in 5-d:

  Number of vertices: 19
  Number of facets: 144
  Number of non-simplicial facets: 2

Statistics for: rbox 10 L4 s D5 W1e-3 C1,1E-12 | qhull Tcv

  Number of points processed: 19
  Number of hyperplanes created: 269
  Number of distance tests for qhull: 413
  Number of distance tests for merging: 2659
  Number of distance tests for checking: 1264
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.001766
  Maximum distance of point above facet: 3.9e-15 (0.4x)
  Maximum distance of vertex below facet: -3.2e-15 (0.3x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2880 distance computations.
rbox 10 L6 D3 | qhull Tcv

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 L6 D3 | qhull Tcv

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000156


Output completed.  Verifying that all points are below 1.7e-15 of
all facets.  Will make 160 distance computations.
rbox 10 L1.1 s D4 | qhull Tcv

Convex hull of 10 points in 4-d:

  Number of vertices: 10
  Number of facets: 26

Statistics for: rbox 10 L1.1 s D4 | qhull Tcv

  Number of points processed: 10
  Number of hyperplanes created: 44
  Number of distance tests for qhull: 52
  CPU seconds to compute hull (after input): 0.000207


Output completed.  Verifying that all points are below 2.4e-15 of
all facets.  Will make 260 distance computations.
rbox y r 100 W0 O0.5 | qhull s p Tcv

Convex hull of 104 points in 3-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox y r 100 W0 O0.5 | qhull s p Tcv

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 1100
  CPU seconds to compute hull (after input): 0.00016

3
4
     1    0.5    0.5 
   0.5      1    0.5 
   0.5    0.5      1 
     0      0      0 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 416 distance computations.
rbox x r 100 W0 O0.5 | qhull s Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 27
  Number of facets: 35
  Number of non-simplicial facets: 4

Statistics for: rbox x r 100 W0 O0.5 | qhull s Tcv

  Number of points processed: 27
  Number of hyperplanes created: 76
  Number of distance tests for qhull: 1284
  Number of distance tests for merging: 606
  Number of distance tests for checking: 1052
  Number of merged facets: 15
  CPU seconds to compute hull (after input): 0.00104


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 3500 distance computations.
rbox 12 D8 | qhull Tcv

Convex hull of 12 points in 8-d:

  Number of vertices: 12
  Number of facets: 92

Statistics for: rbox 12 D8 | qhull Tcv

  Number of points processed: 12
  Number of hyperplanes created: 132
  Number of distance tests for qhull: 84
  CPU seconds to compute hull (after input): 0.000894

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below 7.9e-15 of
all facets.  Will make 1104 distance computations.
rbox 12 D9 | qhull Tcv

Convex hull of 12 points in 9-d:

  Number of vertices: 12
  Number of facets: 70

Statistics for: rbox 12 D9 | qhull Tcv

  Number of points processed: 12
  Number of hyperplanes created: 88
  Number of distance tests for qhull: 46
  CPU seconds to compute hull (after input): 0.000686

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below 9e-15 of
all facets.  Will make 840 distance computations.
rbox 1000 D4 | qhull s i A-0.97 C0.2 A0.7 Tcv

Convex hull of 1000 points in 4-d:

  Number of vertices: 16
  Number of facets: 8
  Number of non-simplicial facets: 8

Statistics for: rbox 1000 D4 | qhull s i A-0.97 C0.2 A0.7 Tcv

  Number of points processed: 116
  Number of hyperplanes created: 2352
  Number of distance tests for qhull: 505738
  Number of distance tests for merging: 119874
  Number of distance tests for checking: 13386
  Number of merged facets: 1929
  CPU seconds to compute hull (after input): 0.09274
  Maximum distance of point above facet: 0.04
  Maximum distance of vertex below facet: -0.76 (0.5x)

96
117 465 771 856 
117 670 120 465 
117 771 120 299 
117 456 771 299 
117 771 456 856 
117 675 465 856 
117 675 456 299 
117 120 771 465 
117 456 675 856 
117 675 670 465 
117 120 670 675 
117 120 675 299 
118 530 456 299 
118 914 530 299 
118 675 456 856 
118 675 856 380 
118 380 856 837 
118 530 914 380 
118 530 380 837 
118 675 914 299 
118 856 530 837 
118 456 530 856 
118 456 675 299 
118 914 675 380 
119 380 530 837 
119 639 380 837 
119 111 639 638 
119 111 638 837 
119 530 750 111 
119 638 639 837 
119 530 111 837 
119 914 530 380 
119 750 914 639 
119 914 750 530 
119 111 750 639 
119 639 914 380 
120 750 530 111 
120 771 750 111 
120 530 771 111 
120 914 750 299 
120 771 456 299 
120 771 530 456 
120 530 914 299 
120 750 914 530 
120 456 530 299 
120 750 120 299 
120 120 771 299 
120 771 120 750 
121 670 675 465 
121 856 380 837 
121 638 856 837 
121 639 670 638 
121 670 465 638 
121 380 639 837 
121 639 638 837 
121 465 856 638 
121 856 675 380 
121 675 639 380 
121 465 675 856 
121 675 670 639 
122 120 670 465 
122 750 111 639 
122 111 771 638 
122 771 465 638 
122 465 670 638 
122 771 120 465 
122 670 639 638 
122 120 750 639 
122 750 771 111 
122 670 120 639 
122 639 111 638 
122 120 771 750 
123 856 465 638 
123 771 465 856 
123 465 771 638 
123 530 856 837 
123 111 530 837 
123 856 638 837 
123 456 771 856 
123 530 456 856 
123 771 530 111 
123 638 111 837 
123 771 111 638 
123 530 771 456 
124 914 675 299 
124 750 120 639 
124 750 914 299 
124 914 639 380 
124 675 120 299 
124 639 675 380 
124 670 675 639 
124 675 914 380 
124 120 670 639 
124 914 750 639 
124 120 750 299 
124 670 120 675 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 8000 distance computations.
rbox 3 D2 | qhull Qb0B1:-2 p 
2
3
  -0.5     -2 
-0.1839506649197531 -0.1614655765345934 
0.2480525339469802 -1.552736350137872 
rbox 100 r D2 | qhull Pd0:0.7 PD0:0.8 Pg n Tcv
3
6
0.7501110696304588 0.6613118653236527 -0.4997532801828658 
0.7071067811865485 0.7071067811865467 -0.4997532801828658 
0.7501110696304543 -0.6613118653236579 -0.4997532801828658 
0.7901550123756914 0.6129070536529753 -0.4997532801828658 
0.7901550123756885 -0.6129070536529789 -0.4997532801828659 
0.707106781186544 -0.7071067811865511 -0.4997532801828658 

Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 600 distance computations.
rbox 1000 s | qhull  C0.05 Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 36
  Number of facets: 20
  Number of non-simplicial facets: 20

Statistics for: rbox 1000 s | qhull C0.05 Tcv

  Number of points processed: 1000
  Number of hyperplanes created: 5544
  Number of distance tests for qhull: 50001
  Number of distance tests for merging: 82277
  Number of distance tests for checking: 23318
  Number of merged facets: 1976
  CPU seconds to compute hull (after input): 0.1537
  Maximum distance of vertex below facet: -0.21 (1.4x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 20000 distance computations.
rbox 1000 s t | qhull Qm C0.05 Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 44
  Number of facets: 24
  Number of non-simplicial facets: 24

Statistics for: rbox 1000 s t1607059688 | qhull Qm C0.05 Tcv

  Number of points processed: 1000
  Number of hyperplanes created: 5510
  Number of distance tests for qhull: 55027
  Number of distance tests for merging: 81048
  Number of distance tests for checking: 23422
  Number of merged facets: 1972
  CPU seconds to compute hull (after input): 0.1543
  Maximum distance of vertex below facet: -0.16 (1.1x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 24000 distance computations.
rbox 500 D2 | qhull n A-0.95 C0.1 Tcv
3
4
0.004814116480453948 0.9999884120741163 -0.4852084337990873 
-0.9999815737204624 -0.006070602898184517 -0.4913197370926178 
-0.006423098021811921 -0.9999793716931376 -0.4958250456626817 
0.9999972817907392 0.002331611273993484 -0.4974344499395051 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2000 distance computations.
rbox 500 s P1,1,1 | qhull QgG0 Pp Tcv

Convex hull of 500 points in 3-d:

  Number of vertices: 226
  Number of facets: 448
  Number of 'good' facets: 340

Statistics for: rbox 500 s P1,1,1 | qhull QgG0 Pp Tcv

  Number of points processed: 226
  Number of hyperplanes created: 1612
  Number of distance tests for qhull: 9967
  CPU seconds to compute hull (after input): 0.0236

rbox d | qhull m
{
Polygon[{{      0.00000000,      -0.50000000,       0.00000000},
{      0.00000000,       0.00000000,      -0.50000000},
{     -0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,       0.00000000,      -0.50000000},
{      0.00000000,      -0.50000000,       0.00000000},
{      0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,       0.00000000,       0.50000000},
{      0.00000000,      -0.50000000,       0.00000000},
{     -0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,      -0.50000000,       0.00000000},
{      0.00000000,       0.00000000,       0.50000000},
{      0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,       0.50000000,       0.00000000},
{      0.00000000,       0.00000000,      -0.50000000},
{      0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,       0.00000000,      -0.50000000},
{      0.00000000,       0.50000000,       0.00000000},
{     -0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,       0.00000000,       0.50000000},
{      0.00000000,       0.50000000,       0.00000000},
{      0.50000000,       0.00000000,       0.00000000}}],
Polygon[{{      0.00000000,       0.50000000,       0.00000000},
{      0.00000000,       0.00000000,       0.50000000},
{     -0.50000000,       0.00000000,       0.00000000}}]}
rbox d | qhull FM
PLOT3D(POLYGONS(
[[      0.00000000,      -0.50000000,       0.00000000],
[      0.00000000,       0.00000000,      -0.50000000],
[     -0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,       0.00000000,      -0.50000000],
[      0.00000000,      -0.50000000,       0.00000000],
[      0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,       0.00000000,       0.50000000],
[      0.00000000,      -0.50000000,       0.00000000],
[     -0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,      -0.50000000,       0.00000000],
[      0.00000000,       0.00000000,       0.50000000],
[      0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,       0.50000000,       0.00000000],
[      0.00000000,       0.00000000,      -0.50000000],
[      0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,       0.00000000,      -0.50000000],
[      0.00000000,       0.50000000,       0.00000000],
[     -0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,       0.00000000,       0.50000000],
[      0.00000000,       0.50000000,       0.00000000],
[      0.50000000,       0.00000000,       0.00000000]],
[[      0.00000000,       0.50000000,       0.00000000],
[      0.00000000,       0.00000000,       0.50000000],
[     -0.50000000,       0.00000000,       0.00000000]]));
rbox c D2 | qhull Tcv Q0

Convex hull of 4 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox c D2 | qhull Tcv Q0

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 5
  CPU seconds to compute hull (after input): 6.5e-05


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 16 distance computations.
rbox d D2 | qhull Tcv

Convex hull of 4 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox d D2 | qhull Tcv

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 3
  CPU seconds to compute hull (after input): 8e-05


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 16 distance computations.
rbox c D3 | qhull Tcv Q0

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 12

Statistics for: rbox c D3 | qhull Tcv Q0

  Number of points processed: 8
  Number of hyperplanes created: 17
  Number of distance tests for qhull: 34
  CPU seconds to compute hull (after input): 0.000112


precision problems (corrected unless 'Q0' or an error)
     12 coplanar half ridges in output
      6 coplanar horizon facets for new vertices

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 96 distance computations.
rbox d D3 | qhull Tcv

Convex hull of 6 points in 3-d:

  Number of vertices: 6
  Number of facets: 8

Statistics for: rbox d D3 | qhull Tcv

  Number of points processed: 6
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 10
  Number of distance tests for merging: 59
  Number of distance tests for checking: 54
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 0.000139


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.
rbox c D4 | qhull Tcv Q0

Convex hull of 16 points in 4-d:

  Number of vertices: 16
  Number of facets: 44

Statistics for: rbox c D4 | qhull Tcv Q0

  Number of points processed: 16
  Number of hyperplanes created: 61
  Number of distance tests for qhull: 162
  CPU seconds to compute hull (after input): 0.000398


precision problems (corrected unless 'Q0' or an error)
     80 coplanar half ridges in output
     32 coplanar horizon facets for new vertices

Output completed.  Verifying that all points are below 3e-15 of
all facets.  Will make 704 distance computations.
rbox d D4 | qhull Tcv

Convex hull of 8 points in 4-d:

  Number of vertices: 8
  Number of facets: 16

Statistics for: rbox d D4 | qhull Tcv

  Number of points processed: 8
  Number of hyperplanes created: 20
  Number of distance tests for qhull: 23
  Number of distance tests for merging: 146
  Number of distance tests for checking: 154
  Number of merged facets: 4
  CPU seconds to compute hull (after input): 0.000238


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 128 distance computations.
rbox c D5 | qhull Tcv Q0

Convex hull of 32 points in 5-d:

  Number of vertices: 32
  Number of facets: 210

Statistics for: rbox c D5 | qhull Tcv Q0

  Number of points processed: 32
  Number of hyperplanes created: 296
  Number of distance tests for qhull: 787
  CPU seconds to compute hull (after input): 0.002425


precision problems (corrected unless 'Q0' or an error)
    590 coplanar half ridges in output
    200 coplanar horizon facets for new vertices
    190 nearly singular or axis-parallel hyperplanes
    190 zero divisors during back substitute
    246 zero divisors during gaussian elimination

Output completed.  Verifying that all points are below 4.1e-15 of
all facets.  Will make 6720 distance computations.
rbox d D5 | qhull Tcv

Convex hull of 10 points in 5-d:

  Number of vertices: 10
  Number of facets: 32

Statistics for: rbox d D5 | qhull Tcv

  Number of points processed: 10
  Number of hyperplanes created: 36
  Number of distance tests for qhull: 46
  Number of distance tests for merging: 517
  Number of distance tests for checking: 320
  Number of merged facets: 11
  CPU seconds to compute hull (after input): 0.000443

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 320 distance computations.
rbox c D6 | qhull Tcv Q0

Convex hull of 64 points in 6-d:

  Number of vertices: 64
  Number of facets: 1242

Statistics for: rbox c D6 | qhull Tcv Q0

  Number of points processed: 64
  Number of hyperplanes created: 1760
  Number of distance tests for qhull: 4843
  CPU seconds to compute hull (after input): 0.01504


precision problems (corrected unless 'Q0' or an error)
   4752 coplanar half ridges in output
   1382 coplanar horizon facets for new vertices
   1180 nearly singular or axis-parallel hyperplanes
   1180 zero divisors during back substitute
   1593 zero divisors during gaussian elimination

Output completed.  Verifying that all points are below 5.3e-15 of
all facets.  Will make 79488 distance computations.
rbox d D6 | qhull Tcv

Convex hull of 12 points in 6-d:

  Number of vertices: 12
  Number of facets: 64

Statistics for: rbox d D6 | qhull Tcv

  Number of points processed: 12
  Number of hyperplanes created: 69
  Number of distance tests for qhull: 87
  Number of distance tests for merging: 1184
  Number of distance tests for checking: 768
  Number of merged facets: 26
  CPU seconds to compute hull (after input): 0.000877

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 768 distance computations.
rbox d D7 | qhull Tcv

Convex hull of 14 points in 7-d:

  Number of vertices: 14
  Number of facets: 128

Statistics for: rbox d D7 | qhull Tcv

  Number of points processed: 14
  Number of hyperplanes created: 135
  Number of distance tests for qhull: 162
  Number of distance tests for merging: 2645
  Number of distance tests for checking: 1792
  Number of merged facets: 57
  CPU seconds to compute hull (after input): 0.001879

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1792 distance computations.
rbox c D2 | qhull Tcv C-0

Convex hull of 4 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox c D2 | qhull Tcv C-0

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 5
  CPU seconds to compute hull (after input): 8e-05


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 16 distance computations.
rbox c D3 | qhull Tcv C-0

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 6
  Number of non-simplicial facets: 6

Statistics for: rbox c D3 | qhull Tcv C-0

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000201


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.
rbox c D4 | qhull Tcv C-0

Convex hull of 16 points in 4-d:

  Number of vertices: 16
  Number of facets: 8
  Number of non-simplicial facets: 8

Statistics for: rbox c D4 | qhull Tcv C-0

  Number of points processed: 16
  Number of hyperplanes created: 25
  Number of distance tests for qhull: 167
  Number of distance tests for merging: 510
  Number of distance tests for checking: 412
  Number of merged facets: 36
  CPU seconds to compute hull (after input): 0.00087


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 128 distance computations.
rbox c D5 | qhull Tcv C-0

Convex hull of 32 points in 5-d:

  Number of vertices: 32
  Number of facets: 10
  Number of non-simplicial facets: 10

Statistics for: rbox c D5 | qhull Tcv C-0

  Number of points processed: 32
  Number of hyperplanes created: 86
  Number of distance tests for qhull: 721
  Number of distance tests for merging: 2647
  Number of distance tests for checking: 1810
  Number of merged facets: 210
  CPU seconds to compute hull (after input): 0.006025


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 320 distance computations.
rbox c D6 | qhull Tcv C-0

Convex hull of 64 points in 6-d:

  Number of vertices: 64
  Number of facets: 12
  Number of non-simplicial facets: 12

Statistics for: rbox c D6 | qhull Tcv C-0

  Number of points processed: 64
  Number of hyperplanes created: 357
  Number of distance tests for qhull: 2570
  Number of distance tests for merging: 14388
  Number of distance tests for checking: 8642
  Number of merged facets: 1488
  CPU seconds to compute hull (after input): 0.06484


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 768 distance computations.
rbox c D7 | qhull Tv C-0

Convex hull of 128 points in 7-d:

  Number of vertices: 128
  Number of facets: 14
  Number of non-simplicial facets: 14

Statistics for: rbox c D7 | qhull Tv C-0

  Number of points processed: 128
  Number of hyperplanes created: 1826
  Number of distance tests for qhull: 9654
  Number of distance tests for merging: 89631
  Number of distance tests for checking: 1960
  Number of merged facets: 11535
  CPU seconds to compute hull (after input): 0.1308


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1792 distance computations.
rbox 20 l D3 | qhull Tcv

Convex hull of 20 points in 3-d:

  Number of vertices: 20
  Number of facets: 36

Statistics for: rbox 20 l D3 | qhull Tcv

  Number of points processed: 20
  Number of hyperplanes created: 62
  Number of distance tests for qhull: 138
  CPU seconds to compute hull (after input): 0.000332


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 720 distance computations.
rbox 100 s D2 | qhull Tcv

Convex hull of 100 points in 2-d:

  Number of vertices: 100
  Number of facets: 100

Statistics for: rbox 100 s D2 | qhull Tcv

  Number of points processed: 100
  Number of hyperplanes created: 198
  Number of distance tests for qhull: 897
  CPU seconds to compute hull (after input): 0.001942


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 10000 distance computations.
rbox 100 s D3 | qhull Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 100
  Number of facets: 196

Statistics for: rbox 100 s D3 | qhull Tcv

  Number of points processed: 100
  Number of hyperplanes created: 514
  Number of distance tests for qhull: 1690
  CPU seconds to compute hull (after input): 0.004782


Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 19600 distance computations.
rbox 100 s D4 | qhull Tcv

Convex hull of 100 points in 4-d:

  Number of vertices: 100
  Number of facets: 584

Statistics for: rbox 100 s D4 | qhull Tcv

  Number of points processed: 100
  Number of hyperplanes created: 1717
  Number of distance tests for qhull: 4090
  CPU seconds to compute hull (after input): 0.01539


Output completed.  Verifying that all points are below 2.8e-15 of
all facets.  Will make 58400 distance computations.
rbox 100 s c D4 | qhull Tcv

Convex hull of 116 points in 4-d:

  Number of vertices: 16
  Number of facets: 8
  Number of non-simplicial facets: 8

Statistics for: rbox 100 s c D4 | qhull Tcv

  Number of points processed: 16
  Number of hyperplanes created: 25
  Number of distance tests for qhull: 2025
  Number of distance tests for merging: 510
  Number of distance tests for checking: 412
  Number of merged facets: 36
  CPU seconds to compute hull (after input): 0.000967


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 928 distance computations.
rbox 100 s d G1.5 D4 | qhull Tcv

Convex hull of 108 points in 4-d:

  Number of vertices: 8
  Number of facets: 16

Statistics for: rbox 100 s d G1.5 D4 | qhull Tcv

  Number of points processed: 8
  Number of hyperplanes created: 20
  Number of distance tests for qhull: 1487
  Number of distance tests for merging: 146
  Number of distance tests for checking: 154
  Number of merged facets: 4
  CPU seconds to compute hull (after input): 0.000312


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1728 distance computations.
rbox 100 s W1e-2 | qhull Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 100
  Number of facets: 196

Statistics for: rbox 100 s W1e-2 | qhull Tcv

  Number of points processed: 100
  Number of hyperplanes created: 493
  Number of distance tests for qhull: 1581
  CPU seconds to compute hull (after input): 0.004777


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 19600 distance computations.
rbox 100 | qhull Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 30
  Number of facets: 56

Statistics for: rbox 100 | qhull Tcv

  Number of points processed: 31
  Number of hyperplanes created: 116
  Number of distance tests for qhull: 1210
  CPU seconds to compute hull (after input): 0.000746


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 5600 distance computations.
rbox 100 W1e-3 | qhull Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 60
  Number of facets: 116

Statistics for: rbox 100 W1e-3 | qhull Tcv

  Number of points processed: 65
  Number of hyperplanes created: 297
  Number of distance tests for qhull: 1748
  CPU seconds to compute hull (after input): 0.002326


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 11600 distance computations.
rbox 100 r D2 | qhull Tcv

Convex hull of 100 points in 2-d:

  Number of vertices: 100
  Number of facets: 100

Statistics for: rbox 100 r D2 | qhull Tcv

  Number of points processed: 100
  Number of hyperplanes created: 198
  Number of distance tests for qhull: 854
  CPU seconds to compute hull (after input): 0.001947


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 10000 distance computations.
rbox 100 r s Z1 | qhull Tcv

Convex hull of 102 points in 3-d:

  Number of vertices: 102
  Number of facets: 200

Statistics for: rbox 100 r s Z1 | qhull Tcv

  Number of points processed: 102
  Number of hyperplanes created: 298
  Number of distance tests for qhull: 1459
  Number of distance tests for merging: 11679
  Number of distance tests for checking: 6438
  Number of merged facets: 97
  CPU seconds to compute hull (after input): 0.01734


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 20400 distance computations.
rbox 100 r s Z1 G0.1 | qhull Tcv C-0

Convex hull of 201 points in 3-d:

  Number of vertices: 201
  Number of facets: 201
  Number of non-simplicial facets: 101

Statistics for: rbox 100 r s Z1 G0.1 | qhull Tcv C-0

  Number of points processed: 201
  Number of hyperplanes created: 1003
  Number of distance tests for qhull: 6999
  Number of distance tests for merging: 26735
  Number of distance tests for checking: 22944
  Number of merged facets: 330
  CPU seconds to compute hull (after input): 0.05263


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 40401 distance computations.
rbox 100 s Z1 G0.1 | qhull Tcv 

Convex hull of 101 points in 3-d:

  Number of vertices: 101
  Number of facets: 198

Statistics for: rbox 100 s Z1 G0.1 | qhull Tcv

  Number of points processed: 101
  Number of hyperplanes created: 460
  Number of distance tests for qhull: 1621
  CPU seconds to compute hull (after input): 0.00501


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 19998 distance computations.
rbox 100 s Z1e-5 G0.1 | qhull Tc Pp

Convex hull of 101 points in 3-d:

  Number of vertices: 101
  Number of facets: 196
  Number of non-simplicial facets: 2

Statistics for: rbox 100 s Z1e-5 G0.1 | qhull Tc Pp

  Number of points processed: 101
  Number of hyperplanes created: 453
  Number of distance tests for qhull: 1847
  Number of distance tests for merging: 2078
  Number of distance tests for checking: 1209
  Number of merged facets: 3
  CPU seconds to compute hull (after input): 0.005485
  Maximum distance of vertex below facet: -1.1e-15 (0.3x)


set +v
=== check qhull option errors Fri Dec 4 05:28:09 UTC 2020
rbox 10 | qhull d H0
QH6037 qhull option error (qh_readpoints): can not use Delaunay('d') or Voronoi('v') with halfspace intersection('H')

While executing: rbox 10
 | qhull d H0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  delaunay  Halfspace-about  0  _maxoutside  0
rbox 10 | qhull Zza
QH7094 qhull option warning: unknown option 'Z'(5a)
QH7036 qhull option warning: missing space after option 'Z'(5a), reserved for sub-options, ignoring 'Z' options to next space
QH6035 qhull option error: see previous warnings, use 'Qw' to override: 'qhull Zza' (last offset 6)

While executing:  | qhull Zza
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  _maxoutside  0
rbox 10 | qhull Zza Qw
QH7094 qhull option warning: unknown option 'Z'(5a)
QH7036 qhull option warning: missing space after option 'Z'(5a), reserved for sub-options, ignoring 'Z' options to next space

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 | qhull Zza Qw

  Number of points processed: 10
  Number of hyperplanes created: 26
  Number of distance tests for qhull: 43
  CPU seconds to compute hull (after input): 0.000122

rbox 10 | qhull Q999

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 | qhull Q999

  Number of points processed: 10
  Number of hyperplanes created: 26
  Number of distance tests for qhull: 43
  CPU seconds to compute hull (after input): 0.00012

rbox 10 | qhull Q999 Qw

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 | qhull Q999 Qw

  Number of points processed: 10
  Number of hyperplanes created: 26
  Number of distance tests for qhull: 43
  CPU seconds to compute hull (after input): 0.000118

qhull TIxyzlkajdfhwh
QH6041 qhull option error: cannot open 'TI' file "xyzlkajdfhwh"

While executing:  | qhull TIxyzlkajdfhwh
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  _maxoutside  0
rbox 10 >r.x
qhull TIr.x

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 | qhull TIr.x

  Number of points processed: 10
  Number of hyperplanes created: 26
  Number of distance tests for qhull: 43
  CPU seconds to compute hull (after input): 0.000142

qhull p TI    r.x TO x.x
cat x.x
3
10
-0.374949442106252 0.2247255418679914 -0.03782349642163468 
0.3004920247946792 0.3694544596313075 0.4210962191420572 
0.3641479121187217 0.2339522165562512 0.03489791698278666 
-0.4707134565997063 -0.2810653003687648 0.1354949890035158 
0.2642752088273644 -0.3265712199048802 0.3175057017407433 
0.3183227589524563 0.05060330969337679 0.4898217078203537 
0.4334355904100794 -0.2480392830893763 0.2037671452423252 
-0.2855954200826543 -0.002227006947833121 -0.4293096679535784 
-0.4075898489985521 -0.3625928418362446 -0.09789381697577781 
-0.3013850588364387 -0.3786854184034145 0.4341719447953365 

set +v
=== check qhull output formats Fri Dec 4 05:28:09 UTC 2020
rbox 5 r s D2 | qhull Tcv

Convex hull of 5 points in 2-d:

  Number of vertices: 5
  Number of facets: 5

Statistics for: rbox 5 r s D2 | qhull Tcv

  Number of points processed: 5
  Number of hyperplanes created: 8
  Number of distance tests for qhull: 7
  CPU seconds to compute hull (after input): 8.5e-05


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 25 distance computations.
rbox 5 r s D2 | qhull s 

Convex hull of 5 points in 2-d:

  Number of vertices: 5
  Number of facets: 5

Statistics for: rbox 5 r s D2 | qhull s

  Number of points processed: 5
  Number of hyperplanes created: 8
  Number of distance tests for qhull: 7
  CPU seconds to compute hull (after input): 9.4e-05

rbox 5 r s D2 | qhull s o 

Convex hull of 5 points in 2-d:

  Number of vertices: 5
  Number of facets: 5

Statistics for: rbox 5 r s D2 | qhull s o

  Number of points processed: 5
  Number of hyperplanes created: 8
  Number of distance tests for qhull: 7
  CPU seconds to compute hull (after input): 8e-05

2
5 5 5
0.1545084971874737 0.4755282581475768 
-0.4045084971874737 0.2938926261462366 
-0.4045084971874738 -0.2938926261462365 
0.1545084971874736 -0.4755282581475768 
   0.5 -1.224646799147353e-16 
2 4 0 
2 2 3 
2 3 4 
2 1 2 
2 0 1 
rbox 5 r s D2 | qhull f
Vertices and facets:
- p0(v3):  0.15  0.48
- p4(v2):   0.5 -1.2e-16
- p3(v4):  0.15 -0.48
- p2(v1):  -0.4 -0.29
- p1(v5):  -0.4  0.29
- f3
    - flags: bottom simplicial
    - normal:     0.809   0.5878
    - offset: -0.4045085
    - vertices: p0(v3) p4(v2)
    - neighboring facets: f5 f7
- f4
    - flags: bottom simplicial
    - normal:    -0.309  -0.9511
    - offset: -0.4045085
    - vertices: p3(v4) p2(v1)
    - neighboring facets: f6 f5
- f5
    - flags: top simplicial
    - normal:     0.809  -0.5878
    - offset: -0.4045085
    - vertices: p3(v4) p4(v2)
    - neighboring facets: f3 f4
- f6
    - flags: top simplicial
    - normal:        -1 9.444e-17
    - offset: -0.4045085
    - vertices: p1(v5) p2(v1)
    - neighboring facets: f4 f7
- f7
    - flags: bottom simplicial
    - normal:    -0.309   0.9511
    - offset: -0.4045085
    - vertices: p1(v5) p0(v3)
    - neighboring facets: f3 f6
rbox 5 r s D2 | qhull i 
5
4 0 
2 3 
3 4 
1 2 
0 1 
rbox 5 r s D2 | qhull m 
{
Line[{{      0.50000000,      -0.00000000}, {      0.15450850,       0.47552826}}]
,Line[{{     -0.40450850,      -0.29389263}, {      0.15450850,      -0.47552826}}]
,Line[{{      0.15450850,      -0.47552826}, {      0.50000000,      -0.00000000}}]
,Line[{{     -0.40450850,       0.29389263}, {     -0.40450850,      -0.29389263}}]
,Line[{{      0.15450850,       0.47552826}, {     -0.40450850,       0.29389263}}]
}
rbox 5 r s D2 | qhull FM 
PLOT(CURVES(
[[      0.50000000,      -0.00000000], [      0.15450850,       0.47552826]]
,[[     -0.40450850,      -0.29389263], [      0.15450850,      -0.47552826]]
,[[      0.15450850,      -0.47552826], [      0.50000000,      -0.00000000]]
,[[     -0.40450850,       0.29389263], [     -0.40450850,      -0.29389263]]
,[[      0.15450850,       0.47552826], [     -0.40450850,       0.29389263]]
));
rbox 5 r s D2 | qhull n 
3
5
0.8090169943749476 0.587785252292473 -0.4045084971874737 
-0.3090169943749476 -0.9510565162951536 -0.4045084971874738 
0.8090169943749472 -0.5877852522924732 -0.4045084971874737 
    -1 9.444121133484361e-17 -0.4045084971874738 
-0.3090169943749474 0.9510565162951536 -0.4045084971874738 
rbox 5 r s D2 | qhull p 
2
5
0.1545084971874737 0.4755282581475768 
-0.4045084971874737 0.2938926261462366 
-0.4045084971874738 -0.2938926261462365 
0.1545084971874736 -0.4755282581475768 
   0.5 -1.224646799147353e-16 
rbox 5 r s D2 | qhull o 
2
5 5 5
0.1545084971874737 0.4755282581475768 
-0.4045084971874737 0.2938926261462366 
-0.4045084971874738 -0.2938926261462365 
0.1545084971874736 -0.4755282581475768 
   0.5 -1.224646799147353e-16 
2 4 0 
2 2 3 
2 3 4 
2 1 2 
2 0 1 
rbox 5 r s D2 | qhull Ft
2
5 5 5
0.1545084971874737 0.4755282581475768 
-0.4045084971874737 0.2938926261462366 
-0.4045084971874738 -0.2938926261462365 
0.1545084971874736 -0.4755282581475768 
   0.5 -1.224646799147353e-16 
2 4 0 
2 2 3 
2 3 4 
2 1 2 
2 0 1 
rbox 5 r s D2 | qhull Fx
5
4
0
1
2
3
rbox 5 r s D2 | qhull p n i p p
2
5
0.1545084971874737 0.4755282581475768 
-0.4045084971874737 0.2938926261462366 
-0.4045084971874738 -0.2938926261462365 
0.1545084971874736 -0.4755282581475768 
   0.5 -1.224646799147353e-16 
3
5
0.8090169943749476 0.587785252292473 -0.4045084971874737 
-0.3090169943749476 -0.9510565162951536 -0.4045084971874738 
0.8090169943749472 -0.5877852522924732 -0.4045084971874737 
    -1 9.444121133484361e-17 -0.4045084971874738 
-0.3090169943749474 0.9510565162951536 -0.4045084971874738 
5
4 0 
2 3 
3 4 
1 2 
0 1 
rbox 10 D3 | qhull f Tcv
Vertices and facets:
- p0(v5): -0.022 -0.37  0.33
- p9(v3):  0.38 -0.47 -0.22
- p6(v1): -0.31 -0.011 -0.49
- p1(v4): -0.067 -0.16  0.46
- p7(v2):  0.39 0.045  0.12
- p3(v6):  0.31 0.084  -0.1
- p4(v7):  0.18  0.12 0.049
- p5(v8): -0.12 0.015 -0.14
- p2(v9): 0.028 0.042 0.058
- f5
    - flags: top simplicial
    - normal:   -0.4934  -0.8471  -0.1973
    - offset: -0.2568231
    - vertices: p0(v5) p9(v3) p6(v1)
    - neighboring facets: f9 f6 f7
- f6
    - flags: bottom simplicial
    - normal:   -0.9301  -0.3157   0.1877
    - offset: -0.1977325
    - vertices: p0(v5) p1(v4) p6(v1)
    - neighboring facets: f17 f5 f8
- f7
    - flags: bottom simplicial
    - normal:    0.7008  -0.3956   0.5936
    - offset:  -0.323519
    - vertices: p0(v5) p9(v3) p7(v2)
    - neighboring facets: f10 f8 f5
- f8
    - flags: top simplicial
    - normal:    0.6544   -0.298   0.6949
    - offset: -0.3219447
    - vertices: p0(v5) p1(v4) p7(v2)
    - neighboring facets: f13 f7 f6
- f9
    - flags: bottom simplicial
    - normal:    0.4866   0.2316  -0.8424
    - offset: -0.2582907
    - vertices: p3(v6) p9(v3) p6(v1)
    - neighboring facets: f5 f16 f10
- f10
    - flags: top simplicial
    - normal:     0.943   0.1711  -0.2855
    - offset: -0.3386013
    - vertices: p3(v6) p9(v3) p7(v2)
    - neighboring facets: f7 f14 f9
- f13
    - flags: bottom simplicial
    - normal:   0.08536   0.8035   0.5892
    - offset: -0.1388354
    - vertices: p4(v7) p1(v4) p7(v2)
    - neighboring facets: f8 f14 f20
- f14
    - flags: top simplicial
    - normal:    0.3121    0.948  0.06295
    - offset: -0.1707289
    - vertices: p4(v7) p3(v6) p7(v2)
    - neighboring facets: f10 f13 f16
- f16
    - flags: bottom simplicial
    - normal:  -0.008104   0.9738  -0.2271
    - offset: -0.1026508
    - vertices: p4(v7) p3(v6) p6(v1)
    - neighboring facets: f9 f18 f14
- f17
    - flags: top simplicial
    - normal:   -0.6179   0.7381   0.2709
    - offset: -0.04995414
    - vertices: p5(v8) p1(v4) p6(v1)
    - neighboring facets: f6 f18 f21
- f18
    - flags: bottom simplicial
    - normal:   -0.3978   0.9064   0.1423
    - offset: -0.04320607
    - vertices: p5(v8) p4(v7) p6(v1)
    - neighboring facets: f16 f17 f22
- f20
    - flags: top simplicial
    - normal:   -0.4124   0.8514   0.3242
    - offset: -0.04294297
    - vertices: p2(v9) p4(v7) p1(v4)
    - neighboring facets: f13 f21 f22
- f21
    - flags: bottom simplicial
    - normal:   -0.5086   0.8133   0.2826
    - offset: -0.03620543
    - vertices: p2(v9) p5(v8) p1(v4)
    - neighboring facets: f17 f20 f22
- f22
    - flags: top simplicial
    - normal:    -0.432   0.8759   0.2148
    - offset: -0.03703814
    - vertices: p2(v9) p5(v8) p4(v7)
    - neighboring facets: f18 f20 f21

Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D3 | qhull i
14
0 9 6 
1 0 6 
9 0 7 
0 1 7 
9 3 6 
3 9 7 
1 4 7 
4 3 7 
3 4 6 
5 1 6 
4 5 6 
2 4 1 
5 2 1 
2 5 4 
rbox 10 D3 | qhull p 
3
9
-0.0222149361131852 -0.366434993563625 0.3270621312102882 
-0.06676722137887703 -0.1566931052661437 0.4589771055234383 
0.02820502736438535 0.04189077954915421 0.05832764185809314 
0.3126723396709863 0.08400649026409401 -0.1029227018383543 
0.1781470954214661 0.1182274414396169 0.04860343742054274 
-0.1220315663349177 0.01546165115708642 -0.1360330368727753 
-0.3072535691850387 -0.01073880122111998 -0.4870359524963758 
0.3867462923626847 0.04492879989084675 0.118335500935405 
0.3789805913148268 -0.4732086509216658 -0.2177962499836425 
rbox 10 D3 | qhull o 
3
10 14 21
-0.0222149361131852 -0.366434993563625 0.3270621312102882 
-0.06676722137887703 -0.1566931052661437 0.4589771055234383 
0.02820502736438535 0.04189077954915421 0.05832764185809314 
0.3126723396709863 0.08400649026409401 -0.1029227018383543 
0.1781470954214661 0.1182274414396169 0.04860343742054274 
-0.1220315663349177 0.01546165115708642 -0.1360330368727753 
-0.3072535691850387 -0.01073880122111998 -0.4870359524963758 
0.3867462923626847 0.04492879989084675 0.118335500935405 
-0.1352406177997967 0.01093378431250691 -0.2358910583293913 
0.3789805913148268 -0.4732086509216658 -0.2177962499836425 
3 0 9 6 
3 1 0 6 
3 9 0 7 
3 0 1 7 
3 9 3 6 
3 3 9 7 
3 1 4 7 
3 4 3 7 
3 3 4 6 
3 5 1 6 
3 4 5 6 
3 2 4 1 
3 5 2 1 
3 2 5 4 
rbox 10 D3 | qhull Fx
9
0
1
2
3
4
5
6
7
9
rbox 27 M1,0,1 | qhull Qc

Convex hull of 27 points in 3-d:

  Number of vertices: 8
  Number of coplanar points: 18
  Number of facets: 6
  Number of non-simplicial facets: 6

Statistics for: rbox 27 M1,0,1 | qhull Qc

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 297
  Number of distance tests for merging: 90
  Number of distance tests for checking: 168
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000195

rbox 50 D3 s | qhull C0.1 Qc Pd0d1d2 Pg s p Tcv

Convex hull of 50 points in 3-d:

  Number of vertices: 17
  Number of coplanar points: 33
  Number of facets: 11
  Number of 'good' facets: 1

Statistics for: rbox 50 D3 s | qhull C0.1 Qc Pd0d1d2 Pg s p Tcv

  Number of points processed: 50
  Number of hyperplanes created: 236
  Number of distance tests for qhull: 1191
  Number of distance tests for merging: 3250
  Number of distance tests for checking: 1146
  Number of merged facets: 85
  CPU seconds to compute hull (after input): 0.002589
  Maximum distance of vertex below facet: -0.24 (0.8x)

3
4
0.4995640899182717 0.005583735684776723 0.02011322848106416 
0.3642936952899509 -0.2163723184172344 -0.2654677445467591 
0.39379735093457 0.04855022442420501 -0.3042474685273066 
0.397166795352245 -0.07497301400429786 -0.2943426300092109 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 50 distance computations.
rbox 10 D2 P0 P1e-15 | qhull d Qc FP s Tcv

Delaunay triangulation by the convex hull of 12 points in 3-d:

  Number of input sites: 11
  Number of nearly incident points: 1
  Number of Delaunay regions: 16

Statistics for: rbox 10 D2 P0 P1e-15 | qhull d Qc FP s Tcv

  Number of points processed: 11
  Number of hyperplanes created: 33
  Number of facets in hull: 18
  Number of distance tests for qhull: 107
  CPU seconds to compute hull (after input): 0.000193

1
0 1 12  1e-15 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 192 distance computations.
rbox 100 s | qhull C-0.003 Qc FP s

Convex hull of 100 points in 3-d:

  Number of vertices: 90
  Number of coplanar points: 10
  Number of facets: 118
  Number of non-simplicial facets: 46

Statistics for: rbox 100 s | qhull C-0.003 Qc FP s

  Number of points processed: 90
  Number of hyperplanes created: 404
  Number of distance tests for qhull: 1996
  Number of distance tests for merging: 3783
  Number of distance tests for checking: 1381
  Number of merged facets: 105
  CPU seconds to compute hull (after input): 0.002013
  Maximum distance of point above facet: 0.0057 (0.6x)
  Maximum distance of vertex below facet: -0.0087 (1.0x)

10
29 92 222 0.05221620842441997 
49 2 292 0.03790045221711884 
99 9 336 0.02993864679572162 
54 84 340 0.06479664045626413 
54 72 226 0.03827167959574595 
96 6 368 0.02282529175708784 
19 1 372 0.01048228658130246 
69 26 409 0.04998878658421259 
19 66 371 0.008281093788857875 
19 45 371 0.04608027722786196 
rbox 100 s D2 | qhull C0.1 i Fx Tcv
6
4 28 
77 70 
6 68 
70 6 
68 4 
28 77 
6
4
28
77
70
6
68

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 600 distance computations.
rbox 4 s D3 | qhull Qc Ghipv Tcv 
{appearance {+edge -evert linewidth 2} LIST # rbox 4 s D3 | qhull Qc Ghipv Tcv
{appearance {-edge -normal normscale 0} {
INST geom {define vsphere OFF
18 32 48

0 0 1
1 0 0
0 1 0
-1 0 0
0 -1 0
0 0 -1
0.707107 0 0.707107
0 -0.707107 0.707107
0.707107 -0.707107 0
-0.707107 0 0.707107
-0.707107 -0.707107 0
0 0.707107 0.707107
-0.707107 0.707107 0
0.707107 0.707107 0
0.707107 0 -0.707107
0 0.707107 -0.707107
-0.707107 0 -0.707107
0 -0.707107 -0.707107

3 0 6 11
3 0 7 6 
3 0 9 7 
3 0 11 9
3 1 6 8 
3 1 8 14
3 1 13 6
3 1 14 13
3 2 11 13
3 2 12 11
3 2 13 15
3 2 15 12
3 3 9 12
3 3 10 9
3 3 12 16
3 3 16 10
3 4 7 10
3 4 8 7
3 4 10 17
3 4 17 8
3 5 14 17
3 5 15 14
3 5 16 15
3 5 17 16
3 6 13 11
3 7 8 6
3 9 10 7
3 11 12 9
3 14 8 17
3 15 13 14
3 16 12 15
3 17 10 16
} transforms { TLIST
0.009951 0 0 0 # v3
 0 0.009951 0 0
0 0 0.009951 0
-0.04234  -0.2077  -0.4529  # p3
1
0.009951 0 0 0 # v2
 0 0.009951 0 0
0 0 0.009951 0
0.004313  -0.4976  0.04904  # p2
1
0.009951 0 0 0 # v1
 0 0.009951 0 0
0 0 0.009951 0
 -0.4876  0.03313  -0.1055  # p0
1
0.009951 0 0 0 # v4
 0 0.009951 0 0
0 0 0.009951 0
 -0.3939  -0.1068  -0.2889  # p1
1
}}}
{ OFF 3 1 1 # f1
-0.04933  -0.2152  -0.4566 
-0.002675  -0.5051  0.04532 
 -0.4946  0.02557  -0.1092 
3 0 1 2   0.1808   0.1547   0.3302 1.0 }
VECT 1 2 1 2 1 # intersect f1 f2
0.004313  -0.4976  0.04904 # projected p2
 -0.4876  0.03313  -0.1055 # projected p0
       0        0        0 1.0
VECT 1 2 1 2 1 # intersect f1 f3
-0.04234  -0.2077  -0.4529 # projected p3
 -0.4876  0.03313  -0.1055 # projected p0
       0        0        0 1.0
VECT 1 2 1 2 1 # intersect f1 f4
-0.04234  -0.2077  -0.4529 # projected p3
0.004313  -0.4976  0.04904 # projected p2
       0        0        0 1.0
{ OFF 3 1 1 # f2
 0.01247  -0.4904  0.04773 
 -0.3857 -0.09961  -0.2902 
 -0.4795  0.04031  -0.1068 
3 0 1 2   0.8726    0.828   0.4402 1.0 }
VECT 1 2 1 2 1 # intersect f2 f3
 -0.3939  -0.1068  -0.2889 # projected p1
 -0.4876  0.03313  -0.1055 # projected p0
       0        0        0 1.0
VECT 1 2 1 2 1 # intersect f2 f4
 -0.3939  -0.1068  -0.2889 # projected p1
0.004313  -0.4976  0.04904 # projected p2
       0        0        0 1.0
{ OFF 3 1 1 # f3
 -0.3931  -0.1153   -0.282 
-0.04157  -0.2162   -0.446 
 -0.4869  0.02464 -0.09863 
3 0 1 2   0.5351   0.1123   0.8138 1.0 }
VECT 1 2 1 2 1 # intersect f3 f4
 -0.3939  -0.1068  -0.2889 # projected p1
-0.04234  -0.2077  -0.4529 # projected p3
       0        0        0 1.0
{ OFF 3 1 1 # f4
-0.03767  -0.1989  -0.4482 
 -0.3892 -0.09803  -0.2843 
0.008983  -0.4888  0.05366 
3 0 1 2   0.7133   0.8999   0.7112 1.0 }
}

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 16 distance computations.
rbox 6 D4 | qhull f Tcv
Vertices and facets:
- p3(v5):   0.1 -0.13 -0.17 -0.42
- p0(v4): -0.33 -0.43 -0.46  0.15
- p2(v3):  0.11   0.4 -0.063 -0.18
- p1(v1): -0.35 -0.24  0.14 -0.18
- p4(v2):  0.14 -0.34 -0.084 0.087
- p5(v6): -0.25  -0.5  0.22 -0.033
- f4
    - flags: bottom simplicial
    - normal:   -0.6536   0.3379   -0.424  -0.5281
    - offset: -0.1850304
    - vertices: p3(v5) p0(v4) p2(v3) p1(v1)
    - neighboring facets: f6 f8 f10 f5
- f5
    - flags: top simplicial
    - normal:    0.6142  0.09488  -0.7743   0.1197
    - offset: -0.1313181
    - vertices: p3(v5) p0(v4) p2(v3) p4(v2)
    - neighboring facets: f7 f9 f11 f4
- f6
    - flags: top simplicial
    - normal:   -0.4209   0.3853   0.2879   0.7691
    - offset: 0.04819078
    - vertices: p5(v6) p0(v4) p2(v3) p1(v1)
    - neighboring facets: f4 f8 f10 f7
- f7
    - flags: bottom simplicial
    - normal:   -0.1759   0.3066   0.2842   0.8912
    - offset: 0.07466537
    - vertices: p5(v6) p0(v4) p2(v3) p4(v2)
    - neighboring facets: f5 f9 f11 f6
- f8
    - flags: bottom simplicial
    - normal:    0.2584  0.07433    0.814   -0.515
    - offset: -0.09844114
    - vertices: p5(v6) p3(v5) p2(v3) p1(v1)
    - neighboring facets: f4 f6 f10 f9
- f9
    - flags: top simplicial
    - normal:    0.6576 -0.06072   0.7252   -0.195
    - offset: -0.03612816
    - vertices: p5(v6) p3(v5) p2(v3) p4(v2)
    - neighboring facets: f5 f7 f11 f8
- f10
    - flags: top simplicial
    - normal:   -0.3537  -0.6003  -0.2017  -0.6883
    - offset: -0.3651888
    - vertices: p5(v6) p3(v5) p0(v4) p1(v1)
    - neighboring facets: f4 f6 f8 f11
- f11
    - flags: bottom simplicial
    - normal:    0.2962   -0.865  -0.2123  -0.3449
    - offset: -0.3220787
    - vertices: p5(v6) p3(v5) p0(v4) p4(v2)
    - neighboring facets: f5 f7 f9 f10

Output completed.  Verifying that all points are below 3e-15 of
all facets.  Will make 48 distance computations.
rbox 6 D4 | qhull i
8
0 3 2 1 
3 0 2 4 
5 0 2 1 
0 5 2 4 
3 5 2 1 
5 3 2 4 
5 3 0 1 
3 5 0 4 
rbox 6 D4 | qhull p 
4
6
-0.3257826863096865 -0.4296101703584289 -0.4581337649916613 0.1458114577883961 
-0.3468340047139991 -0.2391184267952278 0.1365988111464296 -0.1837860440684352 
0.1079548672847029 0.397449696341017 -0.062960620096848 -0.1791453880063681 
0.1034612661259819 -0.1265049433582509 -0.1685859450777862 -0.4239815160855479 
0.1426585555473888 -0.3376619446442108 -0.08430490557505277 0.08744874697872318 
-0.2489141260729303 -0.4997188728300099 0.224904344160952 -0.03269336003129686 
rbox 6 D4 | qhull o
4
6 8 16
-0.3257826863096865 -0.4296101703584289 -0.4581337649916613 0.1458114577883961 
-0.3468340047139991 -0.2391184267952278 0.1365988111464296 -0.1837860440684352 
0.1079548672847029 0.397449696341017 -0.062960620096848 -0.1791453880063681 
0.1034612661259819 -0.1265049433582509 -0.1685859450777862 -0.4239815160855479 
0.1426585555473888 -0.3376619446442108 -0.08430490557505277 0.08744874697872318 
-0.2489141260729303 -0.4997188728300099 0.224904344160952 -0.03269336003129686 
4 0 3 2 1 
4 3 0 2 4 
4 5 0 2 1 
4 0 5 2 4 
4 3 5 2 1 
4 5 3 2 4 
4 5 3 0 1 
4 3 5 0 4 
rbox 1000 s D2 | qhull FA Tcv

Convex hull of 1000 points in 2-d:

  Number of vertices: 1000
  Number of facets: 1000

Statistics for: rbox 1000 s D2 | qhull FA Tcv

  Number of points processed: 1000
  Number of hyperplanes created: 1997
  Number of distance tests for qhull: 13977
  CPU seconds to compute hull (after input): 0.1516
  Total facet area:   3.1415592
  Total volume:       0.7853647


qhull output completed.  Verifying that 1000 points are
below 1.3e-15 of the nearest facet.
rbox 1000 s | qhull FA Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 1000
  Number of facets: 1996

Statistics for: rbox 1000 s | qhull FA Tcv

  Number of points processed: 1000
  Number of hyperplanes created: 5544
  Number of distance tests for qhull: 25487
  CPU seconds to compute hull (after input): 0.1187
  Total facet area:   3.1201951
  Total volume:       0.51650274


qhull output completed.  Verifying that 1000 points are
below 2.1e-15 of the nearest facet.
rbox c D4 | qhull FA Tcv

Convex hull of 16 points in 4-d:

  Number of vertices: 16
  Number of facets: 8
  Number of non-simplicial facets: 8

Statistics for: rbox c D4 | qhull FA Tcv

  Number of points processed: 16
  Number of hyperplanes created: 25
  Number of distance tests for qhull: 167
  Number of distance tests for merging: 510
  Number of distance tests for checking: 412
  Number of merged facets: 36
  CPU seconds to compute hull (after input): 0.000855
  Approximate facet area:    8
  Approximate volume:        1


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 128 distance computations.
rbox c D5 | qhull FA Tcv

Convex hull of 32 points in 5-d:

  Number of vertices: 32
  Number of facets: 10
  Number of non-simplicial facets: 10

Statistics for: rbox c D5 | qhull FA Tcv

  Number of points processed: 32
  Number of hyperplanes created: 86
  Number of distance tests for qhull: 721
  Number of distance tests for merging: 2702
  Number of distance tests for checking: 400
  Number of merged facets: 210
  CPU seconds to compute hull (after input): 0.005774
  Approximate facet area:   10
  Approximate volume:        1

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 320 distance computations.
rbox c D5 | qhull FA Qt Tcv

Convex hull of 32 points in 5-d:

  Number of vertices: 32
  Number of facets: 316
  Number of triangulated facets: 10

Statistics for: rbox c D5 | qhull FA Qt Tcv

  Number of points processed: 32
  Number of hyperplanes created: 86
  Number of distance tests for qhull: 721
  Number of distance tests for merging: 2702
  Number of distance tests for checking: 400
  Number of merged facets: 210
  CPU seconds to compute hull (after input): 0.005906
  Approximate facet area:   10
  Approximate volume:        1

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 10112 distance computations.
rbox 10 D2 | qhull d FA Tcv

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 14

Statistics for: rbox 10 D2 | qhull d FA Tcv

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of facets in hull: 16
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000159
  Total facet area:   0.46254269


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull d Qu FA Tcv

Furthest-site Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 2

Statistics for: rbox 10 D2 | qhull d Qu FA Tcv

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of facets in hull: 16
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000215
  Total facet area:   0.46254269


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 20 distance computations.
rbox 10 D2 | qhull FA Tcv

Convex hull of 10 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox 10 D2 | qhull FA Tcv

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 51
  CPU seconds to compute hull (after input): 7.5e-05
  Total facet area:   2.8999576
  Total volume:       0.46254269


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 40 distance computations.
rbox 10 c D2 | qhull Fx Tcv
4
10
12
13
11

Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 56 distance computations.
rbox 1000 s | qhull FS Tcv
0
2 3.120195135077461 0.516502736886338 

qhull output completed.  Verifying that 1000 points are
below 2.1e-15 of the nearest facet.
rbox 10 W0 D2 | qhull p Qc FcC Tcv
2
10
-0.3863076515368257    0.5 
-0.05259535978789942    0.5 
0.2626424396993987    0.5 
0.3748708151978168    0.5 
-0.01474997775140219    0.5 
0.1582814042067914    0.5 
  -0.5 0.4508927962285399 
  -0.5 -0.003085198815060031 
-0.3688616616361418   -0.5 
-0.2798755283280048    0.5 
5
0
0
0
0
5 2 4 5 9 1
2
5
0.003004576780837498 -8.023127287351645e-18 
  -0.5 0.2239037987067399 
-0.4344308308180709 -0.25154259940753 
-0.4431538257684129 0.4754463981142699 
-0.005718418169504469    0.5 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 50 distance computations.
rbox 4 z h s D2 | qhull Fd s n FD Tcv

Convex hull of 4 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox 4 z h s D2 | qhull Fd s n FD Tcv

  Number of points processed: 4
  Number of hyperplanes created: 5
  Number of distance tests for qhull: 4
  CPU seconds to compute hull (after input): 0.000102

rbox 4 z h s D2 | qhull Fd s n FD Tcv
begin
    4 3 real
107643.7343385944 -0.2650304141580589 -0.964240052876465 
797791.7732245289 -0.6912673062074456 0.7225991360143615 
874890.2679778723 0.9916265954087946 0.1291382796771071 
864878.4439653738 0.3984446264475182 0.9171923896626583 
end

Output completed.  Verifying that all points are below 2.6e-09 of
all facets.  Will make 16 distance computations.
rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  Centrum-premerge- 0.1  Qcoplanar-keep  FFacets-xridge
  summary  FQhull  Finner  normals  Fouter  FQhull  FIDs  Fmerges  Fneighbors
  FNeighbors-vertex  FOptions  FQhull  Fsummary  FSize  FVertex-average
  Tcheck-frequently  Tverify  Fvertices  _max-width 0.86
  Error-roundoff 6.6e-16  _one-merge 0.3  _near-inside 1.5
  Visible-distance 0.1  U-max-coplanar 0.1  Width-outside 0.2  _wide-facet 0.6

Convex hull of 6 points in 3-d:

  Number of vertices: 4
  Number of coplanar points: 2
  Number of facets: 4

Statistics for: rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv

  Number of points processed: 4
  Number of hyperplanes created: 4
  Number of distance tests for qhull: 22
  CPU seconds to compute hull (after input): 0.000105
  Total facet area:   0.82966766
  Total volume:       0.010511079
  Maximum distance of point above facet: 0.11 (0.4x)

Vertices and facets:
- p1(v3):  -0.3  0.39 -0.092
- p5(v2):   0.4 -0.22  -0.2
- p4(v1): -0.46 -0.19 -0.018
- p2(v4):  0.25  0.28 -0.33
- f1
    - flags: top simplicial isarea
    - area: 0.26
    - normal:    0.2054  0.06987   0.9762
    - offset:   0.125398
    - center: -0.1205015151724569 -0.008790385787885074 -0.1024776532548504 
    - vertices: p1(v3) p5(v2) p4(v1)
    - neighboring facets: f2 f3 f4
- f2
    - flags: bottom simplicial isarea
    - area: 0.23
    - normal:   -0.2032  -0.3001   -0.932
    - offset: -0.1680571
    - center: 0.06430144219370747 -0.04270356053094847 -0.1805812707066012 
    - maxoutside:  0.1132672
    - coplanar set(furthest p3):
      p0:   0.07025  -0.4742   -0.142
      p3:    0.2976  -0.2965  -0.2712
      furthest distance= 0.11
    - vertices: p2(v4) p5(v2) p4(v1)
    - neighboring facets: f1 f3 f4
- f3
    - flags: top simplicial isarea
    - area: 0.18
    - normal:   -0.3912 -0.01238  -0.9202
    - offset: -0.1989549
    - center: -0.1715856748140029 0.1590825675964338 -0.1454013928109104 
    - vertices: p2(v4) p1(v3) p4(v1)
    - neighboring facets: f1 f2 f4
- f4
    - flags: bottom simplicial isarea
    - area: 0.16
    - normal:    0.4184   0.3424   0.8413
    - offset: 0.07254957
    - center: 0.116549362001881 0.1503252206347392 -0.2053893818610149 
    - vertices: p2(v4) p1(v3) p5(v2)
    - neighboring facets: f1 f2 f3
rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
4
4
0.205360378770873 0.06987429109559466 0.976188864039624 0.1253980026939646 
-0.2031613339148238 -0.3001304507855299 -0.9320124381751694 -0.1680570625036091 
-0.3911895500493898 -0.01238286325891905 -0.9202268202077502 -0.1989548866041478 
0.4183781509471984 0.3424157187037644 0.8412557271095321 0.07254956874669725 
4
4
0.205360378770873 0.06987429109559466 0.976188864039624 0.125398002693964 
-0.2031613339148238 -0.3001304507855299 -0.9320124381751694 -0.1680570625036098 
-0.3911895500493898 -0.01238286325891905 -0.9202268202077502 -0.1989548866041485 
0.4183781509471984 0.3424157187037644 0.8412557271095321 0.0725495687466966 
4
4
0.205360378770873 0.06987429109559466 0.976188864039624 0.1253980026939626 
-0.2031613339148238 -0.3001304507855299 -0.9320124381751694 -0.2813242952138535 
-0.3911895500493898 -0.01238286325891905 -0.9202268202077502 -0.1989548866041498 
0.4183781509471984 0.3424157187037644 0.8412557271095321 0.07254956874669528 
rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
4
1
2
3
4
4
0
0
0
0
4
3 1 2 3
3 0 2 3
3 0 1 3
3 0 1 2
6
1 1
3 3 0 2
3 3 1 2
1 1
3 2 0 1
3 3 0 1
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  Centrum-premerge- 0.1  Qcoplanar-keep  FFacets-xridge
  summary  FQhull  Finner  normals  Fouter  FQhull  FIDs  Fmerges  Fneighbors
  FNeighbors-vertex  FOptions  FQhull  Fsummary  FSize  FVertex-average
  Tcheck-frequently  Tverify  Fvertices  _max-width 0.86
  Error-roundoff 6.6e-16  _one-merge 0.3  _near-inside 1.5
  Visible-distance 0.1  U-max-coplanar 0.1  Width-outside 0.2  _wide-facet 0.6
rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
10 3 6 4 4 4 4 2 0 0 0
2 0.1132672327102437 -1.315898280434284e-15
0
2 0.8296676646636063 0.01051107893821417 
3 1
-0.02780909644771785 0.06447846047808484 -0.1584624246583442 
4
3 1 5 4
3 2 5 4
3 2 1 4
3 2 1 5

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 24 distance computations.
rbox P0.5,0.5 P0.5,0.5 W0 5 D2 | qhull d FN Qc
7
5 3 1 0 -4 -8
1 1
5 -10 2 -3 -4 -8
4 2 -3 0 1
3 -4 0 -3
3 -10 -8 3
4 -10 2 1 3
rbox 10 D3 | qhull Fa PA5
5
0.2844546842397038 
0.1170134053930415 
0.1758021655943633 
0.07490600482805046 
0.2087585943133527 
rbox 10 D3 | qhull Fa PF0.4
QH7055 qhull warning: no facets printed
0

set +v
=== test Qt Fri Dec 4 05:28:09 UTC 2020
rbox c | qhull Qt s o Tcv

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 12
  Number of triangulated facets: 6

Statistics for: rbox c | qhull Qt s o Tcv

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 96
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000224

3
8 12 18
  -0.5   -0.5   -0.5 
  -0.5   -0.5    0.5 
  -0.5    0.5   -0.5 
  -0.5    0.5    0.5 
   0.5   -0.5   -0.5 
   0.5   -0.5    0.5 
   0.5    0.5   -0.5 
   0.5    0.5    0.5 
3 6 2 0 
3 4 6 0 
3 5 4 0 
3 1 5 0 
3 5 6 4 
3 6 5 7 
3 2 3 0 
3 3 1 0 
3 6 3 2 
3 3 6 7 
3 3 5 1 
3 5 3 7 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 96 distance computations.
rbox c | qhull Qt f i
Vertices and facets:
- p6(v6):   0.5   0.5  -0.5
  neighbors: f17 f18 f25 f27 f33 f34
- p2(v3):  -0.5   0.5  -0.5
  neighbors: f17 f29 f33
- p0(v1):  -0.5  -0.5  -0.5
  neighbors: f17 f18 f21 f22 f29 f30
- p4(v2):   0.5  -0.5  -0.5
  neighbors: f18 f21 f25
- p5(v7):   0.5  -0.5   0.5
  neighbors: f21 f22 f25 f27 f37 f38
- p1(v4):  -0.5  -0.5   0.5
  neighbors: f22 f30 f37
- p7(v5):   0.5   0.5   0.5
  neighbors: f27 f34 f38
- p3(v8):  -0.5   0.5   0.5
  neighbors: f29 f30 f33 f34 f37 f38
- f17
    - flags: top simplicial tricoplanar keepcentrum
    - owner of normal & centrum is facet f17
    - normal:        -0       -0       -1
    - offset:       -0.5
    - center:      0      0   -0.5 
    - vertices: p6(v6) p2(v3) p0(v1)
    - neighboring facets: f29 f18 f33
- f18
    - flags: bottom simplicial tricoplanar
    - owner of normal & centrum is facet f17
    - normal:        -0       -0       -1
    - offset:       -0.5
    - center:      0      0   -0.5 
    - vertices: p6(v6) p4(v2) p0(v1)
    - neighboring facets: f21 f17 f25
- f21
    - flags: top simplicial tricoplanar keepcentrum
    - owner of normal & centrum is facet f21
    - normal:         0       -1        0
    - offset:       -0.5
    - center:      0   -0.5      0 
    - vertices: p5(v7) p4(v2) p0(v1)
    - neighboring facets: f18 f22 f25
- f22
    - flags: bottom simplicial tricoplanar
    - owner of normal & centrum is facet f21
    - normal:         0       -1        0
    - offset:       -0.5
    - center:      0   -0.5      0 
    - vertices: p5(v7) p1(v4) p0(v1)
    - neighboring facets: f30 f21 f37
- f25
    - flags: top simplicial tricoplanar keepcentrum
    - owner of normal & centrum is facet f25
    - normal:         1       -0       -0
    - offset:       -0.5
    - center:    0.5      0      0 
    - vertices: p5(v7) p6(v6) p4(v2)
    - neighboring facets: f18 f21 f27
- f27
    - flags: bottom simplicial tricoplanar
    - owner of normal & centrum is facet f25
    - normal:         1       -0       -0
    - offset:       -0.5
    - center:    0.5      0      0 
    - vertices: p5(v7) p6(v6) p7(v5)
    - neighboring facets: f34 f38 f25
- f29
    - flags: bottom simplicial tricoplanar keepcentrum
    - owner of normal & centrum is facet f29
    - normal:        -1       -0       -0
    - offset:       -0.5
    - center:   -0.5      0      0 
    - vertices: p3(v8) p2(v3) p0(v1)
    - neighboring facets: f17 f30 f33
- f30
    - flags: top simplicial tricoplanar
    - owner of normal & centrum is facet f29
    - normal:        -1       -0       -0
    - offset:       -0.5
    - center:   -0.5      0      0 
    - vertices: p3(v8) p1(v4) p0(v1)
    - neighboring facets: f22 f29 f37
- f33
    - flags: bottom simplicial tricoplanar keepcentrum
    - owner of normal & centrum is facet f33
    - normal:         0        1       -0
    - offset:       -0.5
    - center:      0    0.5      0 
    - vertices: p3(v8) p6(v6) p2(v3)
    - neighboring facets: f17 f29 f34
- f34
    - flags: top simplicial tricoplanar
    - owner of normal & centrum is facet f33
    - normal:         0        1       -0
    - offset:       -0.5
    - center:      0    0.5      0 
    - vertices: p3(v8) p6(v6) p7(v5)
    - neighboring facets: f27 f38 f33
- f37
    - flags: top simplicial tricoplanar keepcentrum
    - owner of normal & centrum is facet f37
    - normal:        -0       -0        1
    - offset:       -0.5
    - center:      0      0    0.5 
    - vertices: p3(v8) p5(v7) p1(v4)
    - neighboring facets: f22 f30 f38
- f38
    - flags: bottom simplicial tricoplanar
    - owner of normal & centrum is facet f37
    - normal:        -0       -0        1
    - offset:       -0.5
    - center:      0      0    0.5 
    - vertices: p3(v8) p5(v7) p7(v5)
    - neighboring facets: f27 f34 f37
12
6 2 0 
4 6 0 
5 4 0 
1 5 0 
5 6 4 
6 5 7 
2 3 0 
3 1 0 
6 3 2 
3 6 7 
3 5 1 
5 3 7 
rbox c | qhull Qt m FM n
{
Polygon[{{      0.50000000,       0.50000000,      -0.50000000},
{     -0.50000000,       0.50000000,      -0.50000000},
{     -0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{      0.50000000,      -0.50000000,      -0.50000000},
{      0.50000000,       0.50000000,      -0.50000000},
{     -0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{      0.50000000,      -0.50000000,       0.50000000},
{      0.50000000,      -0.50000000,      -0.50000000},
{     -0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{     -0.50000000,      -0.50000000,       0.50000000},
{      0.50000000,      -0.50000000,       0.50000000},
{     -0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{      0.50000000,      -0.50000000,       0.50000000},
{      0.50000000,       0.50000000,      -0.50000000},
{      0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{      0.50000000,       0.50000000,      -0.50000000},
{      0.50000000,      -0.50000000,       0.50000000},
{      0.50000000,       0.50000000,       0.50000000}}],
Polygon[{{     -0.50000000,       0.50000000,      -0.50000000},
{     -0.50000000,       0.50000000,       0.50000000},
{     -0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{     -0.50000000,       0.50000000,       0.50000000},
{     -0.50000000,      -0.50000000,       0.50000000},
{     -0.50000000,      -0.50000000,      -0.50000000}}],
Polygon[{{      0.50000000,       0.50000000,      -0.50000000},
{     -0.50000000,       0.50000000,       0.50000000},
{     -0.50000000,       0.50000000,      -0.50000000}}],
Polygon[{{     -0.50000000,       0.50000000,       0.50000000},
{      0.50000000,       0.50000000,      -0.50000000},
{      0.50000000,       0.50000000,       0.50000000}}],
Polygon[{{     -0.50000000,       0.50000000,       0.50000000},
{      0.50000000,      -0.50000000,       0.50000000},
{     -0.50000000,      -0.50000000,       0.50000000}}],
Polygon[{{      0.50000000,      -0.50000000,       0.50000000},
{     -0.50000000,       0.50000000,       0.50000000},
{      0.50000000,       0.50000000,       0.50000000}}]}
PLOT3D(POLYGONS(
[[      0.50000000,       0.50000000,      -0.50000000],
[     -0.50000000,       0.50000000,      -0.50000000],
[     -0.50000000,      -0.50000000,      -0.50000000]],
[[      0.50000000,      -0.50000000,      -0.50000000],
[      0.50000000,       0.50000000,      -0.50000000],
[     -0.50000000,      -0.50000000,      -0.50000000]],
[[      0.50000000,      -0.50000000,       0.50000000],
[      0.50000000,      -0.50000000,      -0.50000000],
[     -0.50000000,      -0.50000000,      -0.50000000]],
[[     -0.50000000,      -0.50000000,       0.50000000],
[      0.50000000,      -0.50000000,       0.50000000],
[     -0.50000000,      -0.50000000,      -0.50000000]],
[[      0.50000000,      -0.50000000,       0.50000000],
[      0.50000000,       0.50000000,      -0.50000000],
[      0.50000000,      -0.50000000,      -0.50000000]],
[[      0.50000000,       0.50000000,      -0.50000000],
[      0.50000000,      -0.50000000,       0.50000000],
[      0.50000000,       0.50000000,       0.50000000]],
[[     -0.50000000,       0.50000000,      -0.50000000],
[     -0.50000000,       0.50000000,       0.50000000],
[     -0.50000000,      -0.50000000,      -0.50000000]],
[[     -0.50000000,       0.50000000,       0.50000000],
[     -0.50000000,      -0.50000000,       0.50000000],
[     -0.50000000,      -0.50000000,      -0.50000000]],
[[      0.50000000,       0.50000000,      -0.50000000],
[     -0.50000000,       0.50000000,       0.50000000],
[     -0.50000000,       0.50000000,      -0.50000000]],
[[     -0.50000000,       0.50000000,       0.50000000],
[      0.50000000,       0.50000000,      -0.50000000],
[      0.50000000,       0.50000000,       0.50000000]],
[[     -0.50000000,       0.50000000,       0.50000000],
[      0.50000000,      -0.50000000,       0.50000000],
[     -0.50000000,      -0.50000000,       0.50000000]],
[[      0.50000000,      -0.50000000,       0.50000000],
[     -0.50000000,       0.50000000,       0.50000000],
[      0.50000000,       0.50000000,       0.50000000]]));
4
12
    -0     -0     -1   -0.5 
    -0     -0     -1   -0.5 
     0     -1      0   -0.5 
     0     -1      0   -0.5 
     1     -0     -0   -0.5 
     1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
     0      1     -0   -0.5 
     0      1     -0   -0.5 
    -0     -0      1   -0.5 
    -0     -0      1   -0.5 
rbox c | qhull Qt p o
3
8
  -0.5   -0.5   -0.5 
  -0.5   -0.5    0.5 
  -0.5    0.5   -0.5 
  -0.5    0.5    0.5 
   0.5   -0.5   -0.5 
   0.5   -0.5    0.5 
   0.5    0.5   -0.5 
   0.5    0.5    0.5 
3
8 12 18
  -0.5   -0.5   -0.5 
  -0.5   -0.5    0.5 
  -0.5    0.5   -0.5 
  -0.5    0.5    0.5 
   0.5   -0.5   -0.5 
   0.5   -0.5    0.5 
   0.5    0.5   -0.5 
   0.5    0.5    0.5 
3 6 2 0 
3 4 6 0 
3 5 4 0 
3 1 5 0 
3 5 6 4 
3 6 5 7 
3 2 3 0 
3 3 1 0 
3 6 3 2 
3 3 6 7 
3 3 5 1 
3 5 3 7 
rbox c | qhull Qt Fx
8
0
1
2
3
4
5
6
7
rbox c | qhull Qt FA s Fa

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 12
  Number of triangulated facets: 6

Statistics for: rbox c | qhull Qt FA s Fa

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 90
  Number of distance tests for checking: 48
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000145
  Approximate facet area:    6
  Approximate volume:        1

12
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
   0.5 
rbox 6 r s c G0.1 D2 | qhull Qt d FA Tcv

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 12
  Number of triangulated facets: 3

Statistics for: rbox 6 r s c G0.1 D2 | qhull Qt d FA Tcv

  Number of points processed: 10
  Number of hyperplanes created: 19
  Number of facets in hull: 16
  Number of distance tests for qhull: 48
  Number of distance tests for merging: 170
  Number of distance tests for checking: 164
  Number of merged facets: 7
  CPU seconds to compute hull (after input): 0.000273
  Approximate facet area:   0.64951905


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 120 distance computations.
rbox 6 r s c G0.1 D2 | qhull d FA Tcv

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 9
  Number of non-simplicial Delaunay regions: 3

Statistics for: rbox 6 r s c G0.1 D2 | qhull d FA Tcv

  Number of points processed: 10
  Number of hyperplanes created: 19
  Number of facets in hull: 10
  Number of distance tests for qhull: 48
  Number of distance tests for merging: 170
  Number of distance tests for checking: 164
  Number of merged facets: 7
  CPU seconds to compute hull (after input): 0.000278
  Approximate facet area:   0.64951905


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 90 distance computations.
rbox 6 r s c G0.1 D2 | qhull Qt v p Tcv
2
12
-0.3359969878447703 -0.1939879513790814 
-0.3359969878447704 0.1939879513790817 
-0.2875      0 
0.3359969878447702 -0.1939879513790819 
0.3359969878447707 0.1939879513790815 
0.2875      0 
-2.220446049250313e-16 -0.3453321730569308 
-2.220446049250313e-16 -0.3453321730569308 
1.110223024625157e-16 0.3453321730569308 
1.110223024625157e-16 0.3453321730569308 
     0      0 
     0      0 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 120 distance computations.
rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  Qtriangulate  Centrum-premerge- 0.1  Qcoplanar-keep
  FFacets-xridge  summary  FQhull  Finner  normals  Fouter  FQhull  FIDs
  Fmerges  Fneighbors  FNeighbors-vertex  FOptions  FQhull  Fsummary  FSize
  FVertex-average  Tcheck-frequently  Tverify  Fvertices  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.3  _near-inside 1.5
  Visible-distance 0.1  U-max-coplanar 0.1  Width-outside 0.2  _wide-facet 0.6

Convex hull of 8 points in 3-d:

  Number of vertices: 8
  Number of facets: 12
  Number of triangulated facets: 6

Statistics for: rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv

  Number of points processed: 8
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 34
  Number of distance tests for merging: 102
  Number of distance tests for checking: 126
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000238
  Approximate facet area:    6
  Approximate volume:        1

Vertices and facets:
- p6(v6):   0.5   0.5  -0.5
  neighbors: f17 f18 f25 f27 f33 f34
- p2(v3):  -0.5   0.5  -0.5
  neighbors: f17 f29 f33
- p0(v1):  -0.5  -0.5  -0.5
  neighbors: f17 f18 f21 f22 f29 f30
- p4(v2):   0.5  -0.5  -0.5
  neighbors: f18 f21 f25
- p5(v7):   0.5  -0.5   0.5
  neighbors: f21 f22 f25 f27 f37 f38
- p1(v4):  -0.5  -0.5   0.5
  neighbors: f22 f30 f37
- p7(v5):   0.5   0.5   0.5
  neighbors: f27 f34 f38
- p3(v8):  -0.5   0.5   0.5
  neighbors: f29 f30 f33 f34 f37 f38
- f17
    - flags: top simplicial tricoplanar isarea keepcentrum
    - area: 0.5
    - normal:        -0       -0       -1
    - offset:       -0.5
    - center:      0      0   -0.5 
    - vertices: p6(v6) p2(v3) p0(v1)
    - neighboring facets: f29 f18 f33
- f18
    - flags: bottom simplicial tricoplanar isarea
    - area: 0.5
    - normal:        -0       -0       -1
    - offset:       -0.5
    - center:      0      0   -0.5 
    - vertices: p6(v6) p4(v2) p0(v1)
    - neighboring facets: f21 f17 f25
- f21
    - flags: top simplicial tricoplanar isarea keepcentrum
    - area: 0.5
    - normal:         0       -1        0
    - offset:       -0.5
    - center:      0   -0.5      0 
    - vertices: p5(v7) p4(v2) p0(v1)
    - neighboring facets: f18 f22 f25
- f22
    - flags: bottom simplicial tricoplanar isarea
    - area: 0.5
    - normal:         0       -1        0
    - offset:       -0.5
    - center:      0   -0.5      0 
    - vertices: p5(v7) p1(v4) p0(v1)
    - neighboring facets: f30 f21 f37
- f25
    - flags: top simplicial tricoplanar isarea keepcentrum
    - area: 0.5
    - normal:         1       -0       -0
    - offset:       -0.5
    - center:    0.5      0      0 
    - vertices: p5(v7) p6(v6) p4(v2)
    - neighboring facets: f18 f21 f27
- f27
    - flags: bottom simplicial tricoplanar isarea
    - area: 0.5
    - normal:         1       -0       -0
    - offset:       -0.5
    - center:    0.5      0      0 
    - vertices: p5(v7) p6(v6) p7(v5)
    - neighboring facets: f34 f38 f25
- f29
    - flags: bottom simplicial tricoplanar isarea keepcentrum
    - area: 0.5
    - normal:        -1       -0       -0
    - offset:       -0.5
    - center:   -0.5      0      0 
    - vertices: p3(v8) p2(v3) p0(v1)
    - neighboring facets: f17 f30 f33
- f30
    - flags: top simplicial tricoplanar isarea
    - area: 0.5
    - normal:        -1       -0       -0
    - offset:       -0.5
    - center:   -0.5      0      0 
    - vertices: p3(v8) p1(v4) p0(v1)
    - neighboring facets: f22 f29 f37
- f33
    - flags: bottom simplicial tricoplanar isarea keepcentrum
    - area: 0.5
    - normal:         0        1       -0
    - offset:       -0.5
    - center:      0    0.5      0 
    - vertices: p3(v8) p6(v6) p2(v3)
    - neighboring facets: f17 f29 f34
- f34
    - flags: top simplicial tricoplanar isarea
    - area: 0.5
    - normal:         0        1       -0
    - offset:       -0.5
    - center:      0    0.5      0 
    - vertices: p3(v8) p6(v6) p7(v5)
    - neighboring facets: f27 f38 f33
- f37
    - flags: top simplicial tricoplanar isarea keepcentrum
    - area: 0.5
    - normal:        -0       -0        1
    - offset:       -0.5
    - center:      0      0    0.5 
    - vertices: p3(v8) p5(v7) p1(v4)
    - neighboring facets: f22 f30 f38
- f38
    - flags: bottom simplicial tricoplanar isarea
    - area: 0.5
    - normal:        -0       -0        1
    - offset:       -0.5
    - center:      0      0    0.5 
    - vertices: p3(v8) p5(v7) p7(v5)
    - neighboring facets: f27 f34 f37
rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
4
12
    -0     -0     -1 -0.4999999999999993 
    -0     -0     -1 -0.4999999999999993 
     0     -1      0 -0.4999999999999993 
     0     -1      0 -0.4999999999999993 
     1     -0     -0 -0.4999999999999993 
     1     -0     -0 -0.4999999999999993 
    -1     -0     -0 -0.4999999999999993 
    -1     -0     -0 -0.4999999999999993 
     0      1     -0 -0.4999999999999993 
     0      1     -0 -0.4999999999999993 
    -0     -0      1 -0.4999999999999993 
    -0     -0      1 -0.4999999999999993 
4
12
    -0     -0     -1   -0.5 
    -0     -0     -1   -0.5 
     0     -1      0   -0.5 
     0     -1      0   -0.5 
     1     -0     -0   -0.5 
     1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
    -1     -0     -0   -0.5 
     0      1     -0   -0.5 
     0      1     -0   -0.5 
    -0     -0      1   -0.5 
    -0     -0      1   -0.5 
4
12
    -0     -0     -1 -0.5000000000000013 
    -0     -0     -1 -0.5000000000000013 
     0     -1      0 -0.5000000000000013 
     0     -1      0 -0.5000000000000013 
     1     -0     -0 -0.5000000000000013 
     1     -0     -0 -0.5000000000000013 
    -1     -0     -0 -0.5000000000000013 
    -1     -0     -0 -0.5000000000000013 
     0      1     -0 -0.5000000000000013 
     0      1     -0 -0.5000000000000013 
    -0     -0      1 -0.5000000000000013 
    -0     -0      1 -0.5000000000000013 
rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
12
17
18
21
22
25
27
29
30
33
34
37
38
12
0
0
0
0
0
0
0
0
0
0
0
0
12
3 6 1 8
3 2 0 4
3 1 3 4
3 7 2 10
3 1 2 5
3 9 11 4
3 0 7 8
3 3 6 10
3 0 6 9
3 5 11 8
3 3 7 11
3 5 9 10
8
6 7 3 2 1 0 6
3 10 3 7
3 8 0 6
6 11 9 8 6 7 10
3 4 1 2
6 11 5 4 2 3 10
6 9 5 4 1 0 8
3 11 5 9
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  Qtriangulate  Centrum-premerge- 0.1  Qcoplanar-keep
  FFacets-xridge  summary  FQhull  Finner  normals  Fouter  FQhull  FIDs
  Fmerges  Fneighbors  FNeighbors-vertex  FOptions  FQhull  Fsummary  FSize
  FVertex-average  Tcheck-frequently  Tverify  Fvertices  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.3  _near-inside 1.5
  Visible-distance 0.1  U-max-coplanar 0.1  Width-outside 0.2  _wide-facet 0.6
rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv
10 3 8 8 12 8 12 0 0 0 6
2 1.387359992873471e-15 -6.936799964367356e-16
0
2      6      1 
3 1
     0      0      0 
12
3 6 2 0
3 6 4 0
3 5 4 0
3 5 1 0
3 5 6 4
3 5 6 7
3 3 2 0
3 3 1 0
3 3 6 2
3 3 6 7
3 3 5 1
3 3 5 7

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 96 distance computations.
rbox 6 r s c G0.1 D2 P0.1,0.1 | qhull s FP d FO Qt
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  summary  FPoint-nearest  delaunay  Qtriangulate  _pre-merge
  _zero-centrum  Pgood  Qcoplanar  _max-width  1  Error-roundoff 6.9e-16
  _one-merge 4.9e-15  _near-inside 2.4e-14  Visible-distance 1.4e-15
  U-max-coplanar 1.4e-15  Width-outside 2.8e-15  _wide-facet 8.3e-15

Delaunay triangulation by the convex hull of 11 points in 3-d:

  Number of input sites: 10
  Number of nearly incident points: 1
  Number of Delaunay regions: 12
  Number of triangulated facets: 3

Statistics for: rbox 6 r s c G0.1 D2 P0.1,0.1 | qhull s FP d FO Qt

  Number of points processed: 10
  Number of hyperplanes created: 19
  Number of facets in hull: 16
  Number of distance tests for qhull: 79
  Number of distance tests for merging: 153
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000233

1
0 10 36      0 
rbox 100 W0 | qhull Tv Q11 FO 
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  Tverify  Q11-trinormals Qtriangulate  _pre-merge
  _zero-centrum  _max-width  1  Error-roundoff 6.9e-16  _one-merge 4.9e-15
  _near-inside 2.4e-14  Visible-distance 1.4e-15  U-max-coplanar 1.4e-15
  Width-outside 2.8e-15  _wide-facet 8.3e-15

Convex hull of 100 points in 3-d:

  Number of vertices: 45
  Number of facets: 86
  Number of triangulated facets: 33

Statistics for: rbox 100 W0 | qhull Tv Q11 FO

  Number of points processed: 52
  Number of hyperplanes created: 171
  Number of distance tests for qhull: 1575
  Number of distance tests for merging: 1368
  Number of distance tests for checking: 1131
  Number of merged facets: 41
  CPU seconds to compute hull (after input): 0.000959


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 8600 distance computations.

set +v
=== test unbounded intersection Fri Dec 4 05:28:09 UTC 2020
rbox c | qhull PD0:0.5 n | qhull H0 Fp Tcv
3
5
  -0.5   -0.5   -0.5 
  -0.5    0.5   -0.5 
  -0.5   -0.5    0.5 
  -0.5    0.5    0.5 
-10.101 -10.101 -10.101 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 25 distance computations.
rbox 1000 W1e-3 D3 | qhull PA8 Fa FS s n Tcv 

Convex hull of 1000 points in 3-d:

  Number of vertices: 156
  Number of facets: 308
  Number of 'good' facets: 8

Statistics for: rbox 1000 W1e-3 D3 | qhull PA8 Fa FS s n Tcv

  Number of points processed: 203
  Number of hyperplanes created: 1043
  Number of distance tests for qhull: 21452
  CPU seconds to compute hull (after input): 0.01833
  Total facet area:   5.8817432
  Total volume:       0.99685163

8
0.1446087232094601 
0.1622198334884075 
0.2057158590759608 
0.1567143851824352 
0.188985866819172 
0.1580674614313252 
0.1616733826473111 
0.1767351337533958 
0
2 5.881743214947513 0.9968516315221345 
4
8
1.009144997325421e-05 0.9999999999463923 2.319049754624652e-06 -0.4999875785488853 
-1.229609861584452e-05 8.587946880918045e-05 0.9999999962367613 -0.500004859549355 
-1.383340239672454e-05 -0.9999999998842694 6.332306547224586e-06 -0.4999917156571327 
1.802476239613105e-05 -1.901476191096464e-05 0.9999999996567733 -0.4999909156385879 
0.9999999996788914 1.780140020603311e-05 -1.803683546259361e-05 -0.4999971349013697 
3.470111681088057e-06 -3.668365732095583e-05 -0.9999999993211337 -0.4999893476858696 
-1.633273154317779e-05 -0.9999999998072314 1.08985791646657e-05 -0.4999921708899001 
-0.9999999997878146 -2.055073082985623e-05 -1.427680287303445e-06 -0.4999990322171605 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 8000 distance computations.
rbox 1000 W1e-3 D3 | qhull C-0.01 PM10 Fm n Tcv Qc
10
1
1
5
8
6
6
2
0
7
10
4
10
0.6345454980886096 0.2737427089707436 0.7227841587506171 -0.7458921924784656 
-0.00253733560834815 0.666653414016696 0.7453635270845322 -0.6767722083805112 
-0.003237401631533091 0.002761552371517554 -0.9999909464886048 -0.4969398742962436 
-0.0004022623770974538 0.9999997831336711 0.0005214571799133833 -0.5000167453415887 
-0.999601787347817 0.0214081839262726 0.01838359029211947 -0.4985486000821885 
-0.005480509661076107 -0.9999701072857251 0.005454223027194169 -0.4992904789191579 
-0.9987007292177809 -0.05077399000218431 -0.004342280406757339 -0.5182179901342427 
0.6755431502353132 -0.2163920762108173 0.7048517017950092 -0.7475007704997935 
0.001196850675493193 0.0003334814784797861 0.9999992281689842 -0.4989807987213126 
0.9999992961453315 0.00118637926097064 1.459763172590229e-05 -0.4998611663332402 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 10000 distance computations.
rbox 1000 W1e-3 D3 | qhull C-0.01 PA8 PG n Tcv Qc
4
12
0.6345454980886096 0.2737427089707436 0.7227841587506171 -0.7458921924784656 
-0.00253733560834815 0.666653414016696 0.7453635270845322 -0.6767722083805112 
-0.9785529186794025 -0.009694358843403266 -0.2057673558916428 -0.5832522471275383 
0.8278306348810541 -0.3414688798813042 -0.4450791435520636 -0.7665474225756105 
0.7383776593319754 -0.4655216164679661 0.4879426777814019 -0.7788991125303445 
0.2008161614085187 -0.8823413491644904 0.4256132198037728 -0.6982307124493007 
0.41932306725662 0.6721295192910486 -0.6102541065524131 -0.7755692997856908 
-0.3210285130221472 0.4863414284958994 -0.8126578054478755 -0.7591490151594069 
-0.4745617604911457 -0.2935495843214587 0.8298311738084099 -0.7523676152838523 
-0.8238864443814345 -0.556605789918439 0.1067760337987315 -0.695666244857558 
-0.5357402012449896 -0.5359428531021374 -0.6524934443952053 -0.811263040246498 
0.6755431502353132 -0.2163920762108173 0.7048517017950092 -0.7475007704997935 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 8000 distance computations.
rbox 10 | qhull FO Tz TO q_test.log.1
cat q_test.log.1
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950364704  Tz-stdout  TOutput-file  q_test.log.1  _pre-merge
  _zero-centrum  _max-width 0.92  Error-roundoff 6.8e-16  _one-merge 4.8e-15
  _near-inside 2.4e-14  Visible-distance 1.4e-15  U-max-coplanar 1.4e-15
  Width-outside 2.7e-15  _wide-facet 8.2e-15

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 | qhull FO Tz TO q_test.log.1

  Number of points processed: 10
  Number of hyperplanes created: 26
  Number of distance tests for qhull: 43
  CPU seconds to compute hull (after input): 0.000138


set +v
=== check Delaunay/Voronoi Fri Dec 4 05:28:09 UTC 2020
rbox 10 D2 | qhull d Tcv

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 14

Statistics for: rbox 10 D2 | qhull d Tcv

  Number of points processed: 10
  Number of hyperplanes created: 28
  Number of facets in hull: 16
  Number of distance tests for qhull: 47
  CPU seconds to compute hull (after input): 0.000157


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull d Qz Tcv

Delaunay triangulation by the convex hull of 11 points in 3-d:

  Number of input sites and at-infinity: 11
  Number of Delaunay regions: 14

Statistics for: rbox 10 D2 | qhull d Qz Tcv

  Number of points processed: 11
  Number of hyperplanes created: 30
  Number of facets in hull: 18
  Number of distance tests for qhull: 55
  CPU seconds to compute hull (after input): 0.000172


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 154 distance computations.
rbox 10 D3 | qhull d Tcv

Delaunay triangulation by the convex hull of 10 points in 4-d:

  Number of input sites: 10
  Number of Delaunay regions: 18

Statistics for: rbox 10 D3 | qhull d Tcv

  Number of points processed: 10
  Number of hyperplanes created: 43
  Number of facets in hull: 27
  Number of distance tests for qhull: 66
  CPU seconds to compute hull (after input): 0.000215


Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 180 distance computations.
rbox c | qhull d Qz Ft Tcv
3
10 12 3
  -0.5   -0.5   -0.5 
  -0.5   -0.5    0.5 
  -0.5    0.5   -0.5 
  -0.5    0.5    0.5 
   0.5   -0.5   -0.5 
   0.5   -0.5    0.5 
   0.5    0.5   -0.5 
   0.5    0.5    0.5 
     0      0      0 
     0      0      0 
4 9 1 2 0 
4 9 2 4 0 
4 9 4 1 0 
4 9 7 5 4 
4 9 6 7 4 
4 9 7 6 2 
4 9 2 6 4 
4 9 5 7 1 
4 9 5 1 4 
4 9 7 3 1 
4 9 1 3 2 
4 9 3 7 2 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make  9 distance computations.
rbox 10 s D2 c | qhull d Tcv 

Delaunay triangulation by the convex hull of 14 points in 3-d:

  Number of input sites: 14
  Number of Delaunay regions: 15
  Number of non-simplicial Delaunay regions: 1

Statistics for: rbox 10 s D2 c | qhull d Tcv

  Number of points processed: 14
  Number of hyperplanes created: 32
  Number of facets in hull: 16
  Number of distance tests for qhull: 115
  Number of distance tests for merging: 296
  Number of distance tests for checking: 272
  Number of merged facets: 8
  CPU seconds to compute hull (after input): 0.000402


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 210 distance computations.
rbox 10 s D2 | qhull d Tcv Qz Q8

Delaunay triangulation by the convex hull of 11 points in 3-d:

  Number of input sites and at-infinity: 11
  Number of Delaunay regions: 1
  Number of non-simplicial Delaunay regions: 1

Statistics for: rbox 10 s D2 | qhull d Tcv Qz Q8

  Number of points processed: 11
  Number of hyperplanes created: 19
  Number of facets in hull: 11
  Number of distance tests for qhull: 54
  Number of distance tests for merging: 201
  Number of distance tests for checking: 204
  Number of merged facets: 7
  CPU seconds to compute hull (after input): 0.00029

QH7077 qhull input warning: no outer plane check ('Q5') or no processing of near-inside points ('Q8').  Verify may report that a point is outside of a facet.

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 11 distance computations.
rbox 10 D2 | qhull d Tcv p
3
10
-0.02222276248244826 -0.4979727817680433 0.2484707425541546 
-0.4285431913366012 0.4745826469497594 0.4088779556267987 
0.3105396575392593 0.2400179190933871 0.1540434803905201 
-0.01883958887200765 0.3630260628303755 0.13214285240299 
0.3790312361708201 0.3779794437605696 0.2865331378987296 
-0.2994955874043476 0.3776609263174803 0.2323253821416525 
0.3471817493878135 0.08365533089605659 0.1275333814953112 
-0.00485819764887746 0.3482682405489201 0.121314369459436 
0.3443122672329771 -0.1437312230875075 0.1392096018573439 
0.309330780347186 -0.07758103877080702 0.1017043492469565 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull d Tcv i
14
9 7 0 
8 9 0 
3 4 1 
3 7 4 
7 2 4 
0 5 1 
7 5 0 
5 3 1 
3 5 7 
6 7 9 
6 2 7 
8 6 9 
6 8 4 
2 6 4 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull d Tcv o
3
10 14 21
-0.02222276248244826 -0.4979727817680433 0.2484707425541546 
-0.4285431913366012 0.4745826469497594 0.4088779556267987 
0.3105396575392593 0.2400179190933871 0.1540434803905201 
-0.01883958887200765 0.3630260628303755 0.13214285240299 
0.3790312361708201 0.3779794437605696 0.2865331378987296 
-0.2994955874043476 0.3776609263174803 0.2323253821416525 
0.3471817493878135 0.08365533089605659 0.1275333814953112 
-0.00485819764887746 0.3482682405489201 0.121314369459436 
0.3443122672329771 -0.1437312230875075 0.1392096018573439 
0.309330780347186 -0.07758103877080702 0.1017043492469565 
3 9 7 0 
3 8 9 0 
3 3 4 1 
3 3 7 4 
3 7 2 4 
3 0 5 1 
3 7 5 0 
3 5 3 1 
3 3 5 7 
3 6 7 9 
3 6 2 7 
3 8 6 9 
3 6 8 4 
3 2 6 4 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Tcv o
2
15 10 1
-10.101 -10.101 
-0.1294381801544404 -0.07247409101984714 
0.08267689532419747 -0.2397644955865706 
0.1295260566906465 1.716033573116837 
0.1740355150742391 0.5317519038435655 
0.1851415205797575 0.3882545794457364 
-0.9065939866848107 -0.2962957610652135 
-0.1954805620516266 -0.07111892482963184 
-0.1407581310832468 0.7233857048236082 
-0.1676297826663962 0.2080621273999375 
0.05868313821742954 0.06632066014880154 
0.08806341399736994 0.1054080604689985 
0.4761588899009253 -0.03168366595227294 
3.094213357897477 -0.064721945677682 
0.5410515627308725 0.2115615434955919 
5 7 1 2 0 6
4 8 3 0 6
3 14 5 11
4 9 4 3 8
6 14 5 4 3 0 13
4 9 7 6 8
5 14 11 10 12 13
7 11 5 4 9 7 1 10
4 13 0 2 12
4 12 2 1 10

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Tcv p
2
14
-0.1294381801544404 -0.07247409101984714 
0.08267689532419747 -0.2397644955865706 
0.1295260566906465 1.716033573116837 
0.1740355150742391 0.5317519038435655 
0.1851415205797575 0.3882545794457364 
-0.9065939866848107 -0.2962957610652135 
-0.1954805620516266 -0.07111892482963184 
-0.1407581310832468 0.7233857048236082 
-0.1676297826663962 0.2080621273999375 
0.05868313821742954 0.06632066014880154 
0.08806341399736994 0.1054080604689985 
0.4761588899009253 -0.03168366595227294 
3.094213357897477 -0.064721945677682 
0.5410515627308725 0.2115615434955919 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Tcv G
{appearance {linewidth 3} LIST # rbox 10 D2 | qhull v Tcv G
{appearance {+edge -face} OFF 15 10 1 # Voronoi centers and cells
     0      0  0 # infinity not used
# 1 f8
-0.1294381801544404 -0.07247409101984714  0
# 2 f11
0.08267689532419747 -0.2397644955865706  0
# 3 f12
0.1295260566906465 1.716033573116837  0
# 4 f14
0.1740355150742391 0.5317519038435655  0
# 5 f15
0.1851415205797575 0.3882545794457364  0
# 6 f19
-0.9065939866848107 -0.2962957610652135  0
# 7 f20
-0.1954805620516266 -0.07111892482963184  0
# 8 f21
-0.1407581310832468 0.7233857048236082  0
# 9 f22
-0.1676297826663962 0.2080621273999375  0
# 10 f23
0.05868313821742954 0.06632066014880154  0
# 11 f24
0.08806341399736994 0.1054080604689985  0
# 12 f25
0.4761588899009253 -0.03168366595227294  0
# 13 f26
3.094213357897477 -0.064721945677682  0
# 14 f27
0.5410515627308725 0.2115615434955919  0
4 7 1 2 6 # p0(v3)
3 8 3 6 # p1(v1)
3 14 5 11 # p2(v8)
4 9 4 3 8 # p3(v7)
5 14 5 4 3 13 # p4(v2)
4 9 7 6 8 # p5(v9)
5 14 11 10 12 13 # p6(v10)
7 11 5 4 9 7 1 10 # p7(v5)
3 13 2 12 # p8(v6)
4 12 2 1 10 # p9(v4)
}
}

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Tcv Fv
23
4 0 1 0 6
4 0 7 1 7
4 0 9 1 2
4 0 8 0 2
4 0 5 6 7
4 1 4 0 3
4 1 3 3 8
4 1 5 6 8
4 2 7 5 11
4 2 4 5 14
4 2 6 11 14
4 3 4 3 4
4 3 7 4 9
4 3 5 8 9
4 4 8 0 13
4 4 7 4 5
4 4 6 13 14
4 5 7 7 9
4 6 7 10 11
4 6 9 10 12
4 6 8 12 13
4 7 9 1 10
4 8 9 2 12

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Tcv Fi
19
5 0 7 0.02051532578114336 0.9997895385570373 0.07511430445246037 
5 0 9 0.619259133056969 0.7851866823409139 0.1370614663104577 
5 0 5 -0.301880639203215 0.9533457293522944 0.008789126238507583 
5 1 3 0.9648718030091262 -0.2627211520946079 0.3258622775065156 
5 1 5 0.7995952824356682 -0.6005392446015695 0.5469710423089692 
5 2 7 -0.9458410914974847 0.3246299888101017 0.04907537812572171 
5 2 4 0.444671031232542 0.8956939622340812 -0.4300843534994401 
5 2 6 0.2281595097543261 -0.9736237661995858 0.08253528745668784 
5 3 4 0.9992944873266901 0.03755699133966539 -0.1938837324602516 
5 3 7 0.6877523324625971 -0.7259454037269313 0.2663295190946441 
5 3 5 -0.9986432053419565 0.05207445078292259 -0.1782370644858237 
5 4 7 -0.9970183790688238 -0.07716444646969993 0.2145489484590235 
5 4 6 -0.1075842248297359 -0.9941959739245502 0.2685422477498993 
5 5 7 0.9950609206245129 -0.09926612839179765 0.187455367716064 
5 6 7 -0.7993641842155074 0.6008468199079334 0.007060641163779212 
5 6 9 -0.2285415587894342 -0.973534157544611 0.07797696388863314 
5 6 8 -0.01261839651625044 -0.9999203848653946 -0.02567278177543585 
5 7 9 0.5936952885926361 -0.8046899429612046 0.01852766555277016 
5 8 9 -0.4674785097727932 0.8840044360186256 0.2506025495170936 

Voronoi ridge statistics
     19 bounded ridges
4.2e-17   ave. distance of midpoint to ridge
1.7e-16   max. distance of midpoint to ridge
     19 bounded ridges with ok normal
5.8e-17   ave. angle to ridge
2.2e-16   max. angle to ridge

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Tcv Fo
4
5 0 1 -0.3854955578888161 0.922709691532494 -0.07609298438083822 
5 0 8 0.719062520784207 0.6949453872092842 0.1071733734620186 
5 1 4 0.9929212365203526 -0.1187746524595787 0.07521211888503937 
5 4 8 -0.06640144810487483 -0.9977929883946747 0.1408811441173877 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D2 | qhull v Qu o Fv Fi Fo Tcv
2
3 10 1
-10.101 -10.101 
-0.06934933486244874 0.05349366577784781 
-0.3051278694340224 0.161498505581022 
3 0 2 1
2 0 1
0
0
3 0 1 2
0
0
0
2 0 2
0
5
4 0 8 0 2
4 0 4 1 2
4 0 1 0 1
4 1 4 0 1
4 4 8 0 2
1
5 0 4 0.4164624817835529 0.9091529031283372 -0.01975252543405325 
4
5 0 8 0.7190625207842071 0.6949453872092841 0.1071733734620185 
5 0 1 -0.3854955578888162 0.922709691532494 -0.07609298438083828 
5 1 4 0.9929212365203528 -0.1187746524595786 0.07521211888503934 
5 4 8 -0.06640144810487485 -0.9977929883946747 0.1408811441173877 

Voronoi ridge statistics
      1 bounded ridges
1.2e-16   ave. distance of midpoint to ridge
1.2e-16   max. distance of midpoint to ridge
      1 bounded ridges with ok normal
      0   max. angle to ridge

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 20 distance computations.
rbox 10 D3 | qhull v Fv Tcv
32
6 0 1 0 17 15 3
7 0 9 0 7 12 11 2
6 0 6 0 7 18 17
5 0 7 0 2 3
6 0 2 2 3 15 11
5 0 8 7 18 12
7 0 5 11 12 18 17 15
5 1 7 0 5 3
6 1 2 3 5 0 15
5 1 5 15 0 17
6 2 3 1 4 13 9
6 2 9 1 2 11 9
7 2 7 1 2 3 5 4
6 2 4 4 5 0 13
7 2 5 9 11 15 0 13
7 3 9 0 6 10 9 1
5 3 7 0 4 1
5 3 6 0 8 6
7 3 4 0 8 14 13 4
6 3 8 6 8 14 10
6 3 5 9 10 14 13
5 4 7 0 5 4
5 4 6 0 16 8
5 4 8 8 16 14
6 4 5 13 0 16 14
6 5 9 9 11 12 10
7 5 8 10 12 18 16 14
6 5 6 0 17 18 16
5 6 9 0 6 7
7 6 8 6 7 18 16 8
5 7 9 0 1 2
6 8 9 6 7 12 10

Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 180 distance computations.
rbox 10 D3 | qhull v Fi Tcv
13
6 0 2 0.1026012494065408 0.8309156055795224 -0.5468566905731632 0.2399036185798246 
6 0 8 -0.1644981128676535 0.549224308046351 -0.8193247404503221 0.1220237399030437 
6 0 5 -0.1640386761614813 0.6276090456203122 -0.7610507201092116 0.1709974344854015 
6 2 3 0.8628264983391892 0.127742449234631 -0.4890933453107607 -0.1660057988150948 
6 2 9 0.5146151495466437 -0.7556910962035636 -0.4050953159143434 -0.3000434746332832 
6 2 7 0.9862472983740704 0.008356748990702902 0.1650649302430821 -0.2195655184060844 
6 3 8 -0.9471370887617877 -0.1545163381156413 -0.2811690529684558 0.04372902199764667 
6 3 5 -0.9850113492204077 -0.1553182373520528 -0.07502590921037623 0.09265233510028284 
6 4 8 -0.7177135399298967 -0.245721536677967 -0.65154293873383 -0.02974683605231299 
6 5 9 0.7110332662678562 -0.693517783370965 -0.116037831799318 -0.2706062861955821 
6 5 8 -0.1310037283001485 -0.04490613421135446 -0.9903643078593113 -0.2004293237314498 
6 6 8 0.563653077615962 0.07101685912338832 0.8229531054770393 0.4221671959133705 
6 8 9 0.7278413449934529 -0.6852671087526033 0.02561183671604023 -0.2412830130907243 

Voronoi ridge statistics
     15 non-simplicial Voronoi vertices for all ridges
6.9e-17   ave. distance to ridge
1.9e-16   max. distance to ridge
     13 bounded ridges
7.8e-17   ave. distance of midpoint to ridge
  3e-16   max. distance of midpoint to ridge
     13 bounded ridges with ok normal
8.5e-17   ave. angle to ridge
2.2e-16   max. angle to ridge

Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 180 distance computations.
rbox 10 D3 | qhull v Fo Tcv
19
6 0 1 -0.1769702595802885 0.8331351847724077 0.5239916899325134 0.004105600879712498 
6 0 9 0.5856843296472444 -0.1558732679166009 -0.7954102025713885 -0.1264594278193164 
6 0 6 -0.305501768024369 0.3812318858994052 -0.8725427891556765 -0.04822326899809234 
6 0 7 0.6633910639781613 0.6672883530766242 -0.3385831509130507 0.06175731395259272 
6 1 7 0.7533877382120365 0.334939238848763 -0.5658821628140998 0.06152842458597928 
6 1 2 0.2077539373736714 0.4344067294949102 -0.8764297432625574 0.2556318087147513 
6 1 5 -0.08886729274769822 0.2768317827550689 -0.9568002760954583 0.1656561460661369 
6 2 4 0.8896724708236493 0.4529391082738924 -0.05769799697211265 -0.124969949041603 
6 2 5 -0.6080629223625026 -0.1069684332549473 -0.7866493734408965 -0.05602222006342437 
6 3 9 0.1157648604151236 -0.9728190902550374 -0.2005530222370839 -0.2615067759720444 
6 3 7 0.3131056731324619 -0.1651787990807294 0.9352437125084113 -0.1060546443225209 
6 3 6 -0.8429664438017094 -0.1288333013498811 -0.5223117412882753 -0.1470675860428305 
6 3 4 -0.6546392846048742 0.1665291828386516 0.7373706247980789 0.1638426312062793 
6 4 7 0.8997625993863546 -0.3161631359012113 0.3007792151107228 -0.2534488584590283 
6 4 6 -0.6610636619910346 -0.1756381951302929 -0.7294834194184102 -0.1931488689248214 
6 4 5 -0.8177140658972858 -0.2799433900977097 -0.5029666040348314 0.01966883326066583 
6 5 6 -0.4656867325018191 -0.06587339986788447 -0.8824945112359766 -0.374728122564582 
6 6 9 0.7885740013077054 -0.5314391513195501 0.309392102204163 -0.04784058563315544 
6 7 9 -0.0125726543874506 -0.8388634914110149 -0.5441966291143082 -0.2018836580171401 

Voronoi ridge statistics
     14 non-simplicial Voronoi vertices for all ridges
4.3e-17   ave. distance to ridge
9.7e-17   max. distance to ridge

Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 180 distance computations.
rbox 10 D3 | qhull v Qu o Fv Fi Fo Tcv
3
10 10 1
-10.101 -10.101 -10.101 
-0.04510412048603351 -0.1962229636993575 -0.06746145990413344 
-0.2032838761823815 -0.3188041900902701 0.1251484339163768 
0.1359785067833994 0.06954805978697726 -0.07249043373758879 
-0.9550934192592715 0.3815223390696589 -0.9370156532984113 
-0.01637948561987637 -0.8836250780525146 -0.03718065630611937 
0.09499885792019704 -0.7038538868165176 -0.181396220925921 
2.128743389186444 -4.06034590041635 -1.2162468947864 
2.789531685277133 -5.393666229616701 -1.494034092231969 
2.640156785601998 -4.796303906482405 -1.459799746992412 
3 0 3 4
7 0 1 3 4 6 7 9
4 0 7 8 9
3 0 2 5
5 0 5 6 7 8
3 0 8 9
9 0 1 2 3 5 6 7 8 9
6 0 1 2 4 5 6
0
5 0 1 2 3 4
18
5 0 1 0 3 4
5 0 9 0 3 4
8 1 6 0 3 1 6 7 9
5 1 2 0 7 9
5 1 4 0 6 7
6 1 7 0 4 1 6
5 1 9 1 3 4
5 2 5 0 9 8
5 2 4 0 7 8
5 2 6 7 9 8
5 3 6 0 5 2
5 3 7 0 2 5
7 4 6 0 5 6 7 8
5 4 7 0 6 5
5 5 6 0 9 8
6 6 9 0 3 1 2
6 6 7 1 2 5 6
6 7 9 0 2 1 4
3
6 1 9 0.5123553720802024 -0.363812082853534 -0.7779027838170592 -0.100757404152973 
6 2 6 -0.5221667006142685 -0.08192192666458321 -0.8488997200501196 -0.2535440955968309 
6 6 7 0.752213645322669 0.06033708575303686 0.6561509489997043 0.09003235761431796 
15
6 0 1 -0.1769702595802886 0.8331351847724078 0.5239916899325134 0.004105600879712498 
6 0 9 0.5856843296472447 -0.1558732679166012 -0.7954102025713884 -0.1264594278193166 
6 1 6 -0.2436653478720986 0.147883680687048 -0.9585184480399009 -0.04663519095132841 
6 1 2 0.2077539373736637 0.4344067294949081 -0.8764297432625605 0.255631808714752 
6 1 4 0.444220078847362 0.4986447037065236 -0.744326528490203 0.1737545932855555 
6 1 7 0.7533877382120362 0.3349392388487629 -0.5658821628141001 0.06152842458597942 
6 2 5 -0.6080629223625006 -0.1069684332549458 -0.7866493734408982 -0.05602222006342417 
6 2 4 0.8896724708236509 0.4529391082738904 -0.0576979969721034 -0.1249699490416035 
6 3 6 -0.8429664438017096 -0.1288333013498811 -0.5223117412882751 -0.1470675860428304 
6 3 7 0.3131056731324613 -0.1651787990807291 0.9352437125084115 -0.1060546443225207 
6 4 6 -0.6610636619910349 -0.1756381951302929 -0.7294834194184099 -0.1931488689248214 
6 4 7 0.8997625993863546 -0.3161631359012115 0.3007792151107228 -0.2534488584590282 
6 5 6 -0.4656867325018176 -0.06587339986788343 -0.8824945112359772 -0.374728122564582 
6 6 9 0.7885740013077054 -0.5314391513195503 0.3093921022041629 -0.04784058563315553 
6 7 9 -0.01257265438745033 -0.8388634914110151 -0.5441966291143079 -0.2018836580171402 

Voronoi ridge statistics
      9 non-simplicial Voronoi vertices for all ridges
1.5e-16   ave. distance to ridge
4.4e-16   max. distance to ridge
      3 bounded ridges
6.4e-16   ave. distance of midpoint to ridge
1.7e-15   max. distance of midpoint to ridge
      3 bounded ridges with ok normal
7.4e-17   ave. angle to ridge
2.2e-16   max. angle to ridge

Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 90 distance computations.
rbox 5 D2 | qhull v f FnN o
Vertices and facets:
- p3(v5):  0.43 -0.11  0.19
  neighbors: f5 f6 f7 f8
- p2(v2):  0.47 -0.11  0.24
  neighbors: f1 f5 f7
- p4(v1): -0.39  0.45  0.36
  neighbors: f1 f3 f5 f6
- p0(v4): -0.34  0.23  0.17
  neighbors: f3 f6 f8
- p1(v3):  0.32 -0.23  0.16
  neighbors: f1 f3 f7 f8
- f5
    - flags: top simplicial
    - normal:     0.437    0.773  -0.4599
    - offset: -0.01170704
    - center: 0.4751017705052502 0.8404705693422864 
    - vertices: p3(v5) p2(v2) p4(v1)
    - neighboring facets: f1 f6 f7
- f6
    - flags: bottom simplicial
    - normal:    0.3235   0.6691   -0.669
    - offset:     0.0657
    - center: 0.24177356134713 0.5000766029034823 
    - vertices: p3(v5) p0(v4) p4(v1)
    - neighboring facets: f3 f5 f8
- f7
    - flags: top simplicial
    - normal:    0.6288  -0.3317  -0.7033
    - offset: -0.1682885
    - center: 0.4470293595057619 -0.2357835939937328 
    - vertices: p3(v5) p1(v3) p2(v2)
    - neighboring facets: f1 f5 f8
- f8
    - flags: top simplicial
    - normal:    0.1177   0.1841  -0.9758
    - offset:    0.15929
    - center: 0.06029550723695781 0.09433023738340306 
    - vertices: p3(v5) p0(v4) p1(v3)
    - neighboring facets: f3 f7 f6
4
3 -1 1 2
3 -3 0 3
3 -1 0 3
3 -3 2 1
5
3 3 -3 1
4 3 -3 -1 2
3 2 -1 0
4 3 1 0 2
4 1 -3 -1 0
2
5 5 1
-10.101 -10.101 
0.4751017705052502 0.8404705693422864 
0.24177356134713 0.5000766029034823 
0.4470293595057619 -0.2357835939937328 
0.06029550723695781 0.09433023738340306 
3 2 4 0
3 3 4 0
3 1 3 0
4 3 4 2 1
3 1 2 0

set +v
=== check Halfspace and Qhull identity pipeline, showing the input Fri Dec 4 05:28:09 UTC 2020
=== the Qhull pipeline recreates 100 4-D cospherical points with the same area and volume
rbox 100 s D4 | qhull FA FV s n | head

Convex hull of 100 points in 4-d:

  Number of vertices: 100
  Number of facets: 584

Statistics for: rbox 100 s D4 | qhull FA FV s n

  Number of points processed: 100
  Number of hyperplanes created: 1717
  Number of distance tests for qhull: 4090
  CPU seconds to compute hull (after input): 0.003209
  Total facet area:   1.7919449
  Total volume:       0.18640279

4 1
-0.006240661006237819 -0.006198497499885543 -0.0019864189252863 0.03528712962677102 
5
584
-0.4728063044129454 -0.06576180062326932 0.3296766529322419 -0.8145200357250598 -0.4001269961794449 
0.9350657178932537 -0.116181174817606 -0.009048199757790566 0.3347718147035652 -0.3733488931324643 
0.5670388949132408 -0.5323662756300656 -0.3876606744394214 0.4947446227302695 -0.4846392631626165 
0.8393609616706702 -0.1089654738688994 -0.05104156673138016 0.530089105710936 -0.4115455431603698 
0.6753770108964836 -0.1536990905729236 -0.0485198359900459 0.7196445707605155 -0.4414725485817289 
0.20025580309926 0.08170320261530004 0.2334845247641378 0.9480016754748583 -0.4466269780920115 
rbox 100 s D4 | qhull FQ FA FV n s | qhull s H Fp | head

Convex hull of 100 points in 4-d:

  Number of vertices: 100
  Number of facets: 584

Statistics for: rbox 100 s D4 | qhull FQ FA FV n s

  Number of points processed: 100
  Number of hyperplanes created: 1717
  Number of distance tests for qhull: 4090
  CPU seconds to compute hull (after input): 0.003162
  Total facet area:   1.7919449
  Total volume:       0.18640279


Halfspace intersection by the convex hull of 584 points in 4-d:

  Number of halfspaces: 584
  Number of non-redundant halfspaces: 584
  Number of intersection points: 100
  Number of non-simplicial intersection points: 100

Statistics for: rbox 100 s D4 | qhull FQ FA FV n s | qhull s H Fp

  Number of points processed: 584
  Number of hyperplanes created: 4013
  Number of distance tests for qhull: 29717
  Number of distance tests for merging: 76931
  Number of distance tests for checking: 18265
  Number of merged facets: 3444
  CPU seconds to compute hull (after input): 0.03768
  Maximum distance of point above facet: 2.4e-14 (0.4x)
  Maximum distance of vertex below facet: -1.7e-14 (0.3x)

4
100
-0.1497820974007844 0.4220759056868791 -0.1730594919621551 0.1395265758865447 
-0.1656824599698354 0.2695081565763442 0.2399815540443042 -0.3038478726528215 
-0.1287028906527846 0.3274268489457611 0.1066154632455187 -0.3389105597705839 
0.2152206390581626 0.2489384546335302 -0.342896351704003 0.1553441801811403 
-0.3478218321497436 0.1609400522171699 0.2504669650899252 -0.2009591303498609 
-0.2026608048181584 0.132737676060139 -0.4340855448243784 0.05365675464591807 
-0.1243914612976075 -0.06208848857682957 -0.4348180038806073 -0.2039732517850684 
0.318659177699236 0.2994118752602876 -0.2407753518255607 -0.02891517550426 
rbox 100 s D4 | qhull FQ FA FV n s Tcv | qhull FQ s H Fp Tcv | qhull FA Tcv

Convex hull of 100 points in 4-d:

  Number of vertices: 100
  Number of facets: 584

Statistics for: rbox 100 s D4 | qhull FQ FA FV n s Tcv

  Number of points processed: 100
  Number of hyperplanes created: 1717
  Number of distance tests for qhull: 4090
  CPU seconds to compute hull (after input): 0.01489
  Total facet area:   1.7919449
  Total volume:       0.18640279


Output completed.  Verifying that all points are below 2.8e-15 of
all facets.  Will make 58400 distance computations.

Halfspace intersection by the convex hull of 584 points in 4-d:

  Number of halfspaces: 584
  Number of non-redundant halfspaces: 584
  Number of intersection points: 100
  Number of non-simplicial intersection points: 100

Statistics for: rbox 100 s D4 | qhull FQ FA FV n s Tcv | qhull FQ s H Fp Tcv

  Number of points processed: 584
  Number of hyperplanes created: 4013
  Number of distance tests for qhull: 29717
  Number of distance tests for merging: 77031
  Number of distance tests for checking: 51837
  Number of merged facets: 3444
  CPU seconds to compute hull (after input): 0.8829
  Maximum distance of point above facet: 2.4e-14 (0.4x)
  Maximum distance of vertex below facet: -1.7e-14 (0.3x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 58400 distance computations.

Convex hull of 100 points in 4-d:

  Number of vertices: 100
  Number of facets: 584

Statistics for: rbox 100 s D4 | qhull FQ FA FV n s Tcv | qhull FQ s H Fp Tcv | qhull FA Tcv

  Number of points processed: 100
  Number of hyperplanes created: 1717
  Number of distance tests for qhull: 4090
  CPU seconds to compute hull (after input): 0.01486
  Total facet area:   1.7919449
  Total volume:       0.18640279


Output completed.  Verifying that all points are below 2.8e-15 of
all facets.  Will make 58400 distance computations.
echo === the Qhull pipeline recreates a 3-D tetrahedron
=== the Qhull pipeline recreates a 3-D tetrahedron
rbox d D3 | qhull n FD
rbox d D3 | qhull n FD
begin
    8 4 real
0.2886751345948129 0.5773502691896258 0.5773502691896258 0.5773502691896258 
0.2886751345948129 -0.5773502691896258 0.5773502691896258 0.5773502691896258 
0.2886751345948129 0.5773502691896258 0.5773502691896258 -0.5773502691896258 
0.2886751345948129 -0.5773502691896258 0.5773502691896258 -0.5773502691896258 
0.2886751345948129 -0.5773502691896258 -0.5773502691896258 0.5773502691896258 
0.2886751345948129 0.5773502691896258 -0.5773502691896258 0.5773502691896258 
0.2886751345948129 -0.5773502691896258 -0.5773502691896258 -0.5773502691896258 
0.2886751345948129 0.5773502691896258 -0.5773502691896258 -0.5773502691896258 
end
rbox d D3 | qhull s n FD Tcv | qhull s Fd H0.1,0.1 Fp Tcv

Convex hull of 6 points in 3-d:

  Number of vertices: 6
  Number of facets: 8

Statistics for: rbox d D3 | qhull s n FD Tcv

  Number of points processed: 6
  Number of hyperplanes created: 11
  Number of distance tests for qhull: 10
  Number of distance tests for merging: 59
  Number of distance tests for checking: 54
  Number of merged facets: 1
  CPU seconds to compute hull (after input): 0.00013


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.

Halfspace intersection by the convex hull of 8 points in 3-d:

  Number of halfspaces: 8
  Number of non-redundant halfspaces: 8
  Number of intersection points: 6
  Number of non-simplicial intersection points: 6

Statistics for: rbox d D3 | qhull s n FD Tcv | qhull s Fd H0.1,0.1 Fp Tcv

  Number of points processed: 8
  Number of hyperplanes created: 10
  Number of distance tests for qhull: 30
  Number of distance tests for merging: 95
  Number of distance tests for checking: 100
  Number of merged facets: 6
  CPU seconds to compute hull (after input): 0.000197

3
6
-1.387778780781446e-17 -1.387778780781446e-17   -0.5 
-2.775557561562891e-17    0.5      0 
  -0.5      0      0 
   0.5 -2.775557561562891e-17      0 
     0   -0.5      0 
-1.387778780781446e-17 1.387778780781446e-17 0.4999999999999999 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 48 distance computations.
echo === the Qhull pipeline recreates a regular 2-D pentagon
=== the Qhull pipeline recreates a regular 2-D pentagon
rbox 5 r D2 | qhull FQ n
rbox 5 r D2 | qhull FQ n
3
5
0.8090169943749476 0.587785252292473 -0.4045084971874737 
-0.3090169943749476 -0.9510565162951536 -0.4045084971874738 
0.8090169943749472 -0.5877852522924732 -0.4045084971874737 
    -1 9.444121133484361e-17 -0.4045084971874738 
-0.3090169943749474 0.9510565162951536 -0.4045084971874738 
rbox 5 r D2 | qhull s FQ n Tcv | qhull s H0 Fp Tcv

Convex hull of 5 points in 2-d:

  Number of vertices: 5
  Number of facets: 5

Statistics for: rbox 5 r D2 | qhull s FQ n Tcv

  Number of points processed: 5
  Number of hyperplanes created: 8
  Number of distance tests for qhull: 7
  CPU seconds to compute hull (after input): 8.1e-05


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 25 distance computations.

Halfspace intersection by the convex hull of 5 points in 2-d:

  Number of halfspaces: 5
  Number of non-redundant halfspaces: 5
  Number of intersection points: 5

Statistics for: rbox 5 r D2 | qhull s FQ n Tcv | qhull s H0 Fp Tcv

  Number of points processed: 5
  Number of hyperplanes created: 7
  Number of distance tests for qhull: 8
  CPU seconds to compute hull (after input): 7.1e-05

2
5
-0.4045084971874738 -0.2938926261462365 
   0.5 -1.528090898784888e-16 
0.1545084971874736 -0.4755282581475768 
-0.4045084971874737 0.2938926261462366 
0.1545084971874737 0.4755282581475768 

Output completed.  Verifying that all points are below 6.4e-15 of
all facets.  Will make 25 distance computations.

set +v
=== check qhull Fri Dec 4 05:28:10 UTC 2020
rbox 10 s D3 | qhull Tcv

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 s D3 | qhull Tcv

  Number of points processed: 10
  Number of hyperplanes created: 29
  Number of distance tests for qhull: 48
  CPU seconds to compute hull (after input): 0.000157


Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 160 distance computations.
rbox 10 s D3 | qhull f Pd0:0.5 Pd2 Pg Tcv
Vertices and facets:
- p7(v8):   0.2 0.093  0.45
- p9(v5):  0.29 -0.16  0.38
- p3(v2):  0.48 -0.13 0.022
- p8(v10):  0.32 0.025 -0.38
- f16
    - flags: bottom simplicial
    - normal:     0.858   0.1759   0.4826
    - offset: -0.4016457
    - vertices: p7(v8) p9(v5) p3(v2)
    - neighboring facets: f7 f27 f23
- f27
    - flags: bottom simplicial
    - normal:     0.646   0.7625  0.03668
    - offset: -0.2138755
    - vertices: p8(v10) p7(v8) p3(v2)
    - neighboring facets: f16 f26 f28

Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 20 distance computations.
rbox 10 s D3 | qhull f Tcv PD2:-0.5 Pg 
Vertices and facets:
- p4(v7):  0.23 -0.32 -0.31
- p1(v4): -0.072 0.057 -0.49
- p6(v3): -0.13 -0.47 -0.09
- p0(v9): -0.37 -0.27  0.19
- p8(v10):  0.32 0.025 -0.38
- p5(v6): 0.028  0.16 -0.47
- f12
    - flags: top simplicial
    - normal:   -0.2354  -0.5691  -0.7879
    - offset: -0.3715833
    - vertices: p4(v7) p1(v4) p6(v3)
    - neighboring facets: f21 f11 f25
- f21
    - flags: bottom simplicial
    - normal:   -0.8148  -0.2922  -0.5006
    - offset: -0.2881945
    - vertices: p0(v9) p1(v4) p6(v3)
    - neighboring facets: f12 f19 f20
- f24
    - flags: top simplicial
    - normal:    0.2636 -0.06941  -0.9621
    - offset: -0.4497787
    - vertices: p8(v10) p5(v6) p1(v4)
    - neighboring facets: f9 f25 f28
- f25
    - flags: bottom simplicial
    - normal:    0.2402  -0.2624  -0.9346
    - offset: -0.4268812
    - vertices: p8(v10) p4(v7) p1(v4)
    - neighboring facets: f12 f24 f26

Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 40 distance computations.
rbox 10 s D3 | qhull QR-1

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 s D3 | qhull QR-1 QR-1607059690

  Number of points processed: 10
  Number of hyperplanes created: 29
  Number of distance tests for qhull: 48
  CPU seconds to compute hull (after input): 0.000131

rbox 10 s D3 | qhull QR-40

Convex hull of 10 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 10 s D3 | qhull QR-40 QR-40

  Number of points processed: 10
  Number of hyperplanes created: 29
  Number of distance tests for qhull: 48
  CPU seconds to compute hull (after input): 0.00012

rbox 1000 D3 | qhull Tcvs
qhull 2020.2.r 2020/08/31 Statistics: rbox 1000 D3 | qhull Tcvs

Convex hull of 1000 points in 3-d:

  Number of vertices: 73
  Number of facets: 142

Statistics for: rbox 1000 D3 | qhull Tcvs

  Number of points processed: 81
  Number of hyperplanes created: 367
  Number of distance tests for qhull: 12879
  CPU seconds to compute hull (after input): 0.004076



qhull invoked by: rbox 1000 D3 | qhull Tcvs
  2020.2.r 2020/08/31 with options:
  run-id 950381511  Tcheck-frequently  Tverify  Tstatistics  _pre-merge
  _zero-centrum  _max-width  1  Error-roundoff 6.9e-16  _one-merge 4.9e-15
  _near-inside 2.4e-14  Visible-distance 1.4e-15  U-max-coplanar 1.4e-15
  Width-outside 2.8e-15  _wide-facet 8.3e-15

precision constants:
    0.5 max. abs. coordinate in the (transformed) input ('Qbd:n')
 6.9e-16 max. roundoff error for distance computation ('En')
 6.7e-16 max. roundoff error for angle computations
 2.8e-15 min. distance for outside points ('Wn')
 1.4e-15 min. distance for visible facets ('Vn')
 1.4e-15 max. distance for coplanar facets ('Un')
 8.3e-15 max. facet width for recomputing centrum and area
 2.4e-14 max. distance for near-inside points
 1.4e-15 radius of pre-merge centrum
 4.9e-15 max. distance for merging two simplicial facets
 2.2e-16 max. roundoff error for arithmetic operations
 1.1e-308 min. denominator for division
  zero diagonal for Gauss: 8.88e-15 1.78e-14 2.66e-14 


precision statistics
3.8e-17 ave. distance of a new vertex to a facet
1.7e-16 max. distance of a new vertex to a facet
1.4e-16 max. distance of an output vertex to a facet
-1.7e-16 min. distance of an output vertex to a facet
 0.0026 min. denominator in hyperplane computation

summary information
     73 number of vertices in output
    142 number of facets in output
      3 average number of neighbors per facet
      3 maximum number of neighbors
      3 average number of vertices per facet
      3 maximum number of vertices
 0.0041 cpu seconds for qhull after input
     82 vertices created altogether
    367 facets created altogether
      0   maximum merges for a facet (at most 511)
   0.93 average cosine (angle) of facet normals for all ridges
      1   maximum cosine of facet normals (flatest) across a ridge
   0.21   minimum cosine of facet normals (sharpest) across a ridge

build hull statistics
     81 points processed
     73 max. vertices at any one time
   2.78 ave. visible facets per iteration
   0.21   ave. visible facets without an horizon neighbor
   2.78   ave. facets deleted per iteration
      8     maximum
   5.43 ave. visible vertices per iteration
     11     maximum
   4.38 ave. horizon facets per iteration
   4.48 ave. new or merged facets per iteration
     10     maximum (includes initial simplex)
  -0.77 average new facet balance
    1.5   standard deviation
     77   count
      7 determinants for initial hull or voronoi vertices
    503 distance tests for facet visibility
     73 points checked for facets' outer planes
   11.4   ave. distance tests per check
   1668   max visit_id/2
   3125   max vertex_visit/2

partitioning statistics (see previous for outer planes)
      8 total vertices deleted
      1     maximum vertices deleted per iteration
    132 calls to findbest
   2.53  ave. facets tested
      6  max. facets tested
   2048 calls to findbestnew
   4.47  ave. facets tested
     13  max. facets tested
     36  calls due to qh_sharpnewfacets
    927 calls to findhorizon
   3.01  ave. facets tested
      5  max. facets tested
0.00539  ave. clearly better
      5  new bestfacets during qh_findbesthorizon
    919 inside points
      8   inside points that were coplanar with a facet
-2.8e-17 difference in max_outside at final check
   3747 distance tests for initial partition
   3132 partitions of a point
   8553 distance tests for partitioning
    518 distance tests for checking flipped facets
   1160 distance tests for statistics
  16915 total number of distance tests
      8 partitions of coplanar points or deleted vertices
     76    distance tests for these partitions

statistics for matching ridges
    726 total lookups for matching ridges of new facets
  0.583 average number of tests to match a ridge

statistics for determining merges
   1089 distance tests for checking simplicial convexity

statistics for merging
1.7e-16 max distance of vertex or coplanar point above facet (w/roundoff)
-6.9e-16 max distance of vertex below facet (or roundoff)

memory usage statistics (in bytes)
  21584 for facets and their normals, neighbor and vertex sets
   2044 for vertices and their neighbor sets
  32104 for input points, outside and coplanar sets, and qhT

memory statistics:
   1413 quick allocations
    687 short allocations
     69 long allocations
   1445 short frees
     68 long frees
  25680 bytes of short memory in use
   1472 bytes of short memory in freelists
 103912 bytes of dropped short memory
   1364 bytes of unused short memory (estimated)
  10916 bytes of long memory allocated (max, except for input)
     96 bytes of long memory in use (in 1 pieces)
 131064 bytes of short memory buffers (minus links)
  65536 bytes per short memory buffer (initially 131072 bytes)
    100 calls to qh_setlarger
     14     average copy size
  freelists(bytes->count): 16->1 24->13 32->0 48->11 88->7

    size in bytes: merge 48 ridge 20 vertex 28 facet 88
         normal 24 ridge vertices 16 facet vertices or neighbors 20

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 142000 distance computations.
# Test tracing 'Tn', combine stderr/stdout 'Tz', flush fprintf 'Tf'
rbox 100 D3 | qhull T1 Tz Tf TA1 TO q_test.log.1
tail -n -10 q_test.log.1
Statistics for: rbox 100 D3 | qhull T1 Tz Tf TA1 TO q_test.log.1

  Number of points processed: 5
  Number of hyperplanes created: 8
  Number of distance tests for qhull: 456
  CPU seconds to compute hull (after input): 0.000669

[QH1006]qh_freeqhull: free global memory
[QH1005]qh_freebuild: free memory from qh_inithull and qh_buildhull
[QH1061]qh_freeqhull: clear qhT except for qh.qhmem and qh.qhstat
rm q_test.log.1
rbox 100 s D3 | qhull TcvA10

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 14
  Number of facets: 24

Statistics for: rbox 100 s D3 | qhull TcvA10

  Number of points processed: 14
  Number of hyperplanes created: 48
  Number of distance tests for qhull: 599
  CPU seconds to compute hull (after input): 0.000309

rbox 100 s D3 | qhull TcvV-2

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 78
  Number of facets: 152

Statistics for: rbox 100 s D3 | qhull TcvV-2

  Number of points processed: 78
  Number of hyperplanes created: 390
  Number of distance tests for qhull: 1488
  CPU seconds to compute hull (after input): 0.003164

rbox 100 s D3 | qhull TcvC2

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 79
  Number of facets: 154

Statistics for: rbox 100 s D3 | qhull TcvC2

  Number of points processed: 79
  Number of hyperplanes created: 395
  Number of distance tests for qhull: 1495
  CPU seconds to compute hull (after input): 0.003221

rbox 100 s D3 | qhull TcvV2

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 79
  Number of facets: 154

Statistics for: rbox 100 s D3 | qhull TcvV2

  Number of points processed: 79
  Number of hyperplanes created: 395
  Number of distance tests for qhull: 1495
  CPU seconds to compute hull (after input): 0.003272

rbox 100 s D3 | qhull T1cvV2P2
[QH1008]qh_readpoints: read in 100 3-dimensional points
[QH0013]qh_initqhull_globals: for rbox 100 s D3 | qhull T1cvV2P2

Trace level T1, IStracing 0, point TP2, merge TM0, dist TW1.8e+308, qh.tracefacet_id -1, traceridge_id -1, tracevertex_id -1, last qh.RERUN 0, rbox 100 s D3 | qhull T1cvV2P2
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950381511  Tcheck-frequently  Tverify  TV-stop-after-point 2
  Trace-point 2  _pre-merge  _zero-centrum  _max-width 0.94
  Error-roundoff 6.7e-16  _one-merge 4.7e-15  _near-inside 2.3e-14
  Visible-distance 1.3e-15  U-max-coplanar 1.3e-15  Width-outside 2.7e-15
  _wide-facet 8.1e-15
qh_findbest: point p2 starting at f7 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p41, Last merge #0, max_outside 4e-17
qh_findbest: point p2 starting at f15 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p52, Last merge #0, max_outside 1.1e-16
qh_findbest: point p2 starting at f37 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p73, Last merge #0, max_outside 1.1e-16
qh_findbest: point p2 starting at f52 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p87, Last merge #0, max_outside 1.1e-16
qh_findbest: point p2 starting at f72 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p76, Last merge #0, max_outside 1.1e-16
qh_findbest: point p2 starting at f120 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p84, Last merge #0, max_outside 1.1e-16
qh_findbest: point p2 starting at f211 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p10, Last merge #0, max_outside 1.1e-16
qh_findbest: point p2 starting at f289 isnewfacets? 1, unless 0 exit if > 2.7e-15, testhorizon? 1, noupper? 0, Last qh_addpoint p6, Last merge #0, max_outside 1.1e-16
[QH1049]qh_addpoint: add p2(v79) 0.014 above f288 to hull of 152 facets, 0 merges, 22 outside at 0.00411 CPU secs.  Previous p56(v78) delta 0.00411 CPU, 152 facets, 0 merges, 390 hyperplanes, 3835 distplanes, 0 retries
[QH1040]qh_findhorizon: find horizon for point p2 facet f288
[QH1041]qh_findhorizon: 5 horizon facets(good 5), 3 visible(good 3), 0 coplanar
[QH1032]qh_makenewfacets: created 5 new facets f390..f394 from point p2 to horizon
[QH1019]qh_matchnewfacets: match neighbors for new facets.
[QH1043]qh_partitionvisible: partitioned 0 points from outsidesets, 0 points from coplanarsets, and 0 deleted vertices
[QH1018]qh_deletevisible: delete 3 visible facets and 0 vertices
[QH1027]qh_checkpolygon: check all facets from f62, qh.NEWtentative? 0
[QH1039]qh_buildhull: completed the hull construction
[QH1036]Qhull: algorithm completed
[QH1027]qh_checkpolygon: check all facets from f62, qh.NEWtentative? 0
[QH1064]qh_checkconvex: check that facets are not-flipped and for qh.ZEROcentrum that simplicial vertices are below their neighbor (dist<0.0)

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 79
  Number of facets: 154

Statistics for: rbox 100 s D3 | qhull T1cvV2P2

  Number of points processed: 79
  Number of hyperplanes created: 395
  Number of distance tests for qhull: 1495
  CPU seconds to compute hull (after input): 0.004274

[QH1006]qh_freeqhull: free global memory
[QH1005]qh_freebuild: free memory from qh_inithull and qh_buildhull
[QH1061]qh_freeqhull: clear qhT except for qh.qhmem and qh.qhstat
rbox 100 s D3 | qhull TcvF100

At 05:28:10 & 0.000636 CPU secs, qhull has created 102 facets and merged 0.
 The current hull contains 46 facets and 25 vertices.  There are 75
 outside points.  Next is point p55(v26), 0.035 above f44.

At 05:28:10 & 0.001429 CPU secs, qhull has created 203 facets and merged 0.
 The current hull contains 86 facets and 45 vertices.  There are 55
 outside points.  Next is point p82(v46), 0.067 above f117.

At 05:28:10 & 0.002396 CPU secs, qhull has created 306 facets and merged 0.
 The current hull contains 122 facets and 63 vertices.  There are 37
 outside points.  Next is point p50(v64), 0.042 above f218.

At 05:28:10 & 0.003699 CPU secs, qhull has created 412 facets and merged 0.
 The current hull contains 160 facets and 82 vertices.  There are 18
 outside points.  Next is point p60(v83), 0.031 above f307.

Convex hull of 100 points in 3-d:

  Number of vertices: 100
  Number of facets: 196

Statistics for: rbox 100 s D3 | qhull TcvF100

  Number of points processed: 100
  Number of hyperplanes created: 514
  Number of distance tests for qhull: 1690
  CPU seconds to compute hull (after input): 0.005125


Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 19600 distance computations.
rbox 100 s D3 | qhull Qf Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 100
  Number of facets: 196

Statistics for: rbox 100 s D3 | qhull Qf Tcv

  Number of points processed: 100
  Number of hyperplanes created: 506
  Number of distance tests for qhull: 4421
  CPU seconds to compute hull (after input): 0.004966


Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 19600 distance computations.
rbox 100 D3 | qhull Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 26
  Number of facets: 48

Statistics for: rbox 100 D3 | qhull Tcv

  Number of points processed: 28
  Number of hyperplanes created: 109
  Number of distance tests for qhull: 1163
  CPU seconds to compute hull (after input): 0.000686


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 4800 distance computations.
rbox 100 D3 | qhull Qs Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 26
  Number of facets: 48

Statistics for: rbox 100 D3 | qhull Qs Tcv

  Number of points processed: 29
  Number of hyperplanes created: 105
  Number of distance tests for qhull: 1172
  CPU seconds to compute hull (after input): 0.000715


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 4800 distance computations.
rbox 100 D5 | qhull Qs Tcv

Convex hull of 100 points in 5-d:

  Number of vertices: 78
  Number of facets: 1174

Statistics for: rbox 100 D5 | qhull Qs Tcv

  Number of points processed: 85
  Number of hyperplanes created: 4014
  Number of distance tests for qhull: 9050
  CPU seconds to compute hull (after input): 0.02908

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 117400 distance computations.
rbox 100 D3 | qhull Qr Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 26
  Number of facets: 48

Statistics for: rbox 100 D3 | qhull Qr Tcv

  Number of points processed: 56
  Number of hyperplanes created: 293
  Number of distance tests for qhull: 2135


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 4800 distance computations.
rbox 100 D3 | qhull Qxv Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 26
  Number of facets: 48

Statistics for: rbox 100 D3 | qhull Qxv Tcv

  Number of points processed: 28
  Number of hyperplanes created: 109
  Number of distance tests for qhull: 1163
  CPU seconds to compute hull (after input): 0.000705

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 4800 distance computations.
rbox 100 D3 | qhull Qi f Pd0 Pd1 Pd2 Pg Tcv
Vertices and facets:
- p11(v14): -0.31  0.47  0.07
- p59(v8):  0.44  0.42 -0.11
- p33(v3): -0.067  0.49 -0.11
- p48(v25):  0.25  0.24  0.44
- p37(v15):  0.45  0.26  0.04
- p38(v5):  0.42 -0.25  0.42
- f42
    - flags: bottom simplicial
    - normal:    0.1292   0.9495   0.2858
    - offset: -0.4221543
    - coplanar set(furthest p70):
      p70:   0.04762   0.3507 -0.06712
      furthest distance= -0.1
    - vertices: p11(v14) p59(v8) p33(v3)
    - neighboring facets: f52 f41 f93
- f93
    - flags: top simplicial
    - normal:     0.142   0.9273   0.3463
    - offset: -0.4120445
    - coplanar set(furthest p28):
      p27:    0.1182   0.3419    0.068
      p25:    0.1663   0.2352   0.3516
      p15:    0.2743   0.2665  0.07375
      p44:   -0.1321   0.3861    0.167
      p28:   -0.1003   0.4263  0.07335
      furthest distance= -0.0056
    - vertices: p48(v25) p11(v14) p59(v8)
    - neighboring facets: f42 f94 f95
- f94
    - flags: bottom simplicial
    - normal:    0.7783   0.4631   0.4241
    - offset: -0.4905394
    - vertices: p48(v25) p37(v15) p59(v8)
    - neighboring facets: f47 f93 f97
- f97
    - flags: top simplicial
    - normal:    0.8488   0.2736   0.4523
    - offset: -0.4744876
    - vertices: p48(v25) p37(v15) p38(v5)
    - neighboring facets: f46 f99 f94

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 400 distance computations.
rbox c d | qhull Qc f Tcv
Vertices and facets:
- p6(v6):   0.5   0.5  -0.5
  neighbors: f1 f9 f10
- p2(v3):  -0.5   0.5  -0.5
  neighbors: f1 f3 f10
- p4(v2):   0.5  -0.5  -0.5
  neighbors: f1 f2 f9
- p0(v1):  -0.5  -0.5  -0.5
  neighbors: f1 f2 f3
- p5(v7):   0.5  -0.5   0.5
  neighbors: f2 f9 f13
- p1(v4):  -0.5  -0.5   0.5
  neighbors: f2 f3 f13
- p7(v5):   0.5   0.5   0.5
  neighbors: f10 f13 f9
- p3(v8):  -0.5   0.5   0.5
  neighbors: f3 f10 f13
- f1
    - flags: bottom tested
    - merges: 1
    - normal:        -0       -0       -1
    - offset:       -0.5
    - center:      0      0   -0.5 
    - coplanar set(furthest p8):
      p8:         0        0     -0.5
      furthest distance=  0
    - vertices: p6(v6) p2(v3) p4(v2) p0(v1)
    - neighboring facets: f2 f3 f10 f9
    - ridges:
     - r4 tested simplicialtop simplicialbot
           vertices: p2(v3) p0(v1)
           between f1 and f3
     - r3 tested simplicialtop simplicialbot
           vertices: p4(v2) p0(v1)
           between f2 and f1
     - r1 tested simplicialtop
           vertices: p6(v6) p4(v2)
           between f9 and f1
     - r2 tested simplicialbot
           vertices: p6(v6) p2(v3)
           between f1 and f10
- f2
    - flags: top tested
    - merges: 1
    - normal:         0       -1        0
    - offset:       -0.5
    - center:      0   -0.5      0 
    - coplanar set(furthest p10):
      p10:         0     -0.5        0
      furthest distance=  0
    - vertices: p5(v7) p1(v4) p4(v2) p0(v1)
    - neighboring facets: f1 f3 f13 f9
    - ridges:
     - r3 tested simplicialtop simplicialbot
           vertices: p4(v2) p0(v1)
           between f2 and f1
     - r8 tested simplicialtop simplicialbot
           vertices: p1(v4) p0(v1)
           between f3 and f2
     - r7 tested simplicialtop
           vertices: p5(v7) p1(v4)
           between f13 and f2
     - r6 tested
           vertices: p5(v7) p4(v2)
           between f2 and f9
- f9
    - flags: bottom tested
    - merges: 1
    - normal:         1       -0       -0
    - offset:       -0.5
    - center:    0.5      0      0 
    - coplanar set(furthest p13):
      p13:       0.5        0        0
      furthest distance=  0
    - vertices: p5(v7) p6(v6) p7(v5) p4(v2)
    - neighboring facets: f2 f1 f10 f13
    - ridges:
     - r1 tested simplicialtop
           vertices: p6(v6) p4(v2)
           between f9 and f1
     - r6 tested
           vertices: p5(v7) p4(v2)
           between f2 and f9
     - r10 tested simplicialbot
           vertices: p5(v7) p7(v5)
           between f9 and f13
     - r11 tested simplicialtop simplicialbot
           vertices: p6(v6) p7(v5)
           between f10 and f9
- f3
    - flags: bottom tested
    - merges: 1
    - normal:        -1       -0       -0
    - offset:       -0.5
    - center:   -0.5      0      0 
    - coplanar set(furthest p12):
      p12:      -0.5        0        0
      furthest distance=  0
    - vertices: p3(v8) p1(v4) p2(v3) p0(v1)
    - neighboring facets: f1 f2 f13 f10
    - ridges:
     - r4 tested simplicialtop simplicialbot
           vertices: p2(v3) p0(v1)
           between f1 and f3
     - r13 tested
           vertices: p3(v8) p2(v3)
           between f10 and f3
     - r14 tested
           vertices: p3(v8) p1(v4)
           between f3 and f13
     - r8 tested simplicialtop simplicialbot
           vertices: p1(v4) p0(v1)
           between f3 and f2
- f10
    - flags: top tested
    - merges: 1
    - normal:         0        1       -0
    - offset:       -0.5
    - center:      0    0.5      0 
    - coplanar set(furthest p11):
      p11:         0      0.5        0
      furthest distance=  0
    - vertices: p3(v8) p6(v6) p7(v5) p2(v3)
    - neighboring facets: f3 f1 f9 f13
    - ridges:
     - r2 tested simplicialbot
           vertices: p6(v6) p2(v3)
           between f1 and f10
     - r11 tested simplicialtop simplicialbot
           vertices: p6(v6) p7(v5)
           between f10 and f9
     - r16 tested
           vertices: p3(v8) p7(v5)
           between f13 and f10
     - r13 tested
           vertices: p3(v8) p2(v3)
           between f10 and f3
- f13
    - flags: bottom tested
    - merges: 1
    - normal:        -0       -0        1
    - offset:       -0.5
    - center:      0      0    0.5 
    - coplanar set(furthest p9):
      p9:         0        0      0.5
      furthest distance=  0
    - vertices: p3(v8) p5(v7) p7(v5) p1(v4)
    - neighboring facets: f10 f2 f9 f3
    - ridges:
     - r7 tested simplicialtop
           vertices: p5(v7) p1(v4)
           between f13 and f2
     - r14 tested
           vertices: p3(v8) p1(v4)
           between f3 and f13
     - r16 tested
           vertices: p3(v8) p7(v5)
           between f13 and f10
     - r10 tested simplicialbot
           vertices: p5(v7) p7(v5)
           between f9 and f13

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 84 distance computations.
rbox c d | qhull Qc p Tcv
3
14
  -0.5   -0.5   -0.5 
  -0.5   -0.5    0.5 
  -0.5    0.5   -0.5 
  -0.5    0.5    0.5 
   0.5   -0.5   -0.5 
   0.5   -0.5    0.5 
   0.5    0.5   -0.5 
   0.5    0.5    0.5 
     0      0   -0.5 
     0      0    0.5 
     0   -0.5      0 
     0    0.5      0 
  -0.5      0      0 
   0.5      0      0 

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 84 distance computations.
rbox 100 D3 | qhull QbB FO Tcv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  QbBound-unit-box 0.5  Tcheck-frequently  Tverify
  _pre-merge  _zero-centrum  _max-width  1  Error-roundoff 6.9e-16
  _one-merge 4.9e-15  _near-inside 2.4e-14  Visible-distance 1.4e-15
  U-max-coplanar 1.4e-15  Width-outside 2.8e-15  _wide-facet 8.3e-15

Convex hull of 100 points in 3-d:

  Number of vertices: 26
  Number of facets: 48

Statistics for: rbox 100 D3 | qhull QbB FO Tcv

  Number of points processed: 28
  Number of hyperplanes created: 109
  Number of distance tests for qhull: 1163
  CPU seconds to compute hull (after input): 0.000698


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 4800 distance computations.
rbox 1000 D2 B1e6 | qhull d Qbb FO Tcv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  delaunay  Qbbound-last  Tcheck-frequently  Tverify
  _pre-merge  _zero-centrum  Pgood  _max-width 2e+06  Error-roundoff 1.4e-09
  _one-merge 9.7e-09  _near-inside 4.9e-08  Visible-distance 2.8e-09
  U-max-coplanar 2.8e-09  Width-outside 5.5e-09  _wide-facet 1.7e-08

Delaunay triangulation by the convex hull of 1000 points in 3-d:

  Number of input sites: 1000
  Number of Delaunay regions: 1982

Statistics for: rbox 1000 D2 B1e6 | qhull d Qbb FO Tcv

  Number of points processed: 1000
  Number of hyperplanes created: 5457
  Number of facets in hull: 1996
  Number of distance tests for qhull: 27959
  CPU seconds to compute hull (after input): 0.1198


qhull output completed.  Verifying that 1000 points are
below 4.2e-09 of the nearest facet.
rbox 10 D3 | qhull QbB p Tcv
3
9
-0.08928142660407055 -0.3194671263098747 0.3605569202297553 
-0.1534778158747162 0.03516440701453921    0.5 
-0.01663016790622804 0.3709299907861695 0.0764863283135003 
0.3932651765570926 0.4421392241401818 -0.09396622763110282 
0.199424728304684    0.5 0.06620718432588452 
-0.2331094527352667 0.3262436269787957 -0.128966098672764 
  -0.5 0.2819439085196089   -0.5 
0.4999999999999999 0.3760666748352666 0.1399187075693636 
0.4888102268053206   -0.5 -0.2153953634886358 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D3 | qhull Qbb p Tcv
QH7040 qhull option warning: option 'Qbb' (scale-last-coordinate) is normally used with 'd' or 'v'
3
9
-0.0222149361131852 -0.366434993563625 0.4072229792632261 
-0.06676722137887703 -0.1566931052661437 0.4732086509216659 
0.02820502736438535 0.04189077954915421 0.272798317696016 
0.3126723396709863 0.08400649026409401 0.1921386936513206 
0.1781470954214661 0.1182274414396169 0.2679341378370068 
-0.1220315663349177 0.01546165115708642 0.1755764518932639 
-0.3072535691850387 -0.01073880122111998      0 
0.3867462923626847 0.04492879989084675 0.3028150683084346 
0.3789805913148268 -0.4732086509216658 0.1346773760895938 

Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D3 | qhull Qb0:-10B2:20 p Tcv
3
9
-5.733970380575339 -0.366434993563625 17.14322461142018 
-6.400761988815288 -0.1566931052661437     20 
-4.97936018866004 0.04189077954915421 11.32346018178493 
-0.7218812392989191 0.08400649026409401 7.831392539952951 
-2.735252796494545 0.1182274414396169 11.11287098934976 
-7.227875597731384 0.01546165115708642 7.114348923589702 
   -10 -0.01073880122111998 -0.4870359524963758 
0.3867462923626847 0.04492879989084675 12.62300161615219 
0.2705209571204694 -0.4732086509216658 5.343669467959105 

Output completed.  Verifying that all points are below 7.5e-14 of
all facets.  Will make 140 distance computations.
rbox 10 D3 | qhull Qb0:-10B2:20 p Tcv | qhull QbB p Tcv

Output completed.  Verifying that all points are below 7.5e-14 of
all facets.  Will make 140 distance computations.
3
9
-0.08928142660407051 -0.3194671263098747 0.3605569202297555 
-0.153477815874716 0.03516440701453921    0.5 
-0.01663016790622796 0.3709299907861695 0.07648632831350011 
0.3932651765570927 0.4421392241401818 -0.09396622763110274 
0.1994247283046841    0.5 0.06620718432588446 
-0.2331094527352668 0.3262436269787957 -0.1289660986727639 
  -0.5 0.2819439085196089 -0.4999999999999999 
   0.5 0.3760666748352666 0.1399187075693635 
0.4888102268053207   -0.5 -0.2153953634886357 

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 126 distance computations.
rbox 10 D3 | qhull Qb1:0B1:0 d Tcv Q8

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 14

Statistics for: rbox 10 D3 | qhull Qb1:0B1:0 d Tcv Q8

  Number of points processed: 10
  Number of hyperplanes created: 31
  Number of facets in hull: 16
  Number of distance tests for qhull: 61
  CPU seconds to compute hull (after input): 0.000165

QH7077 qhull input warning: no outer plane check ('Q5') or no processing of near-inside points ('Q8').  Verify may report that a point is outside of a facet.

Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D3 | qhull Qb1:0B1:0B2:0 d Tcv Q8

Delaunay triangulation by the convex hull of 10 points in 3-d:

  Number of input sites: 10
  Number of Delaunay regions: 14

Statistics for: rbox 10 D3 | qhull Qb1:0B1:0B2:0 d Tcv Q8

  Number of points processed: 10
  Number of hyperplanes created: 31
  Number of facets in hull: 16
  Number of distance tests for qhull: 61
  CPU seconds to compute hull (after input): 0.000154

QH7077 qhull input warning: no outer plane check ('Q5') or no processing of near-inside points ('Q8').  Verify may report that a point is outside of a facet.

Output completed.  Verifying that all points are below 2e-15 of
all facets.  Will make 140 distance computations.
rbox 10 D3 | qhull Qb1:0 d Tcv 

Delaunay triangulation by the convex hull of 10 points in 4-d:

  Number of input sites: 10
  Number of Delaunay regions: 18

Statistics for: rbox 10 D3 | qhull Qb1:0 d Tcv

  Number of points processed: 10
  Number of hyperplanes created: 43
  Number of facets in hull: 27
  Number of distance tests for qhull: 66
  CPU seconds to compute hull (after input): 0.000205


Output completed.  Verifying that all points are below 2.9e-15 of
all facets.  Will make 180 distance computations.
rbox 10 D3 | qhull Qb1:0B1:0  Tcv

Convex hull of 10 points in 2-d:

  Number of vertices: 4
  Number of facets: 4

Statistics for: rbox 10 D3 | qhull Qb1:0B1:0 Tcv

  Number of points processed: 4
  Number of hyperplanes created: 6
  Number of distance tests for qhull: 48
  CPU seconds to compute hull (after input): 8.6e-05


Output completed.  Verifying that all points are below 1.3e-15 of
all facets.  Will make 40 distance computations.
echo "== next command will error ${d:-`date`} =="
== next command will error Fri Dec  4 05:28:11 UTC 2020 ==
rbox 10 D2 | qhull Qb1:1B1:1 Tcv
QH6154 Qhull precision error: Initial simplex is flat (facet 1 is coplanar with the interior point)

While executing: rbox 10 D2 | qhull Qb1:1B1:1 Tcv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  Qbound-dim-low 1  1  QBound-dim-high 1  1
  Tcheck-frequently  Tverify  _pre-merge  _zero-centrum  _max-width 0.81
  Error-roundoff 8.6e-16  _one-merge 4.3e-15  _near-inside 2.1e-14
  Visible-distance 1.7e-15  U-max-coplanar 1.7e-15  Width-outside 3.4e-15
  _wide-facet 1e-14  _maxoutside 5.1e-15

The input to qhull appears to be less than 2 dimensional, or a
computation has overflowed.

Qhull could not construct a clearly convex simplex from points:
- p0(v3): -0.022     1
- p4(v2):  0.38     1
- p1(v1): -0.43     1

The center point is coplanar with a facet, or a vertex is coplanar
with a neighboring facet.  The maximum round off error for
computing distances is 8.6e-16.  The center point, facets and distances
to the center point are as follows:

center point -0.02391        1

facet p4 p1 distance=    0
facet p0 p1 distance=    0
facet p0 p4 distance=    0

These points either have a maximum or minimum x-coordinate, or
they maximize the determinant for k coordinates.  Trial points
are first selected from points that maximize a coordinate.

The min and max coordinates for each dimension are:
  0:   -0.4285     0.379  difference= 0.8076
  1:         1         1  difference=    0

If the input should be full dimensional, you have several options that
may determine an initial simplex:
  - use 'QJ'  to joggle the input and make it full dimensional
  - use 'QbB' to scale the points to the unit cube
  - use 'QR0' to randomly rotate the input for different maximum points
  - use 'Qs'  to search all points for the initial simplex
  - use 'En'  to specify a maximum roundoff error less than 8.6e-16.
  - trace execution with 'T3' to see the determinant for each point.

If the input is lower dimensional:
  - use 'QJ' to joggle the input and make it full dimensional
  - use 'Qbk:0Bk:0' to delete coordinate k from the input.  You should
    pick the coordinate with the least range.  The hull will have the
    correct topology.
  - determine the flat containing the points, rotate the points
    into a coordinate plane, and delete the other coordinates.
  - add one or more points to make the input full dimensional.
rbox 200 L20 D2 t | qhull FO Tcv C-0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  Tcheck-frequently  Tverify  Centrum-premerge-  0
  _zero-centrum  _max-width 0.99  Error-roundoff 3.4e-16  _one-merge 1.7e-15
  _near-inside 8.5e-15  Visible-distance 6.8e-16  U-max-coplanar 6.8e-16
  Width-outside 1.4e-15  _wide-facet 4.1e-15

Convex hull of 200 points in 2-d:

  Number of vertices: 200
  Number of facets: 200

Statistics for: rbox 200 L20 D2 t1607059691 | qhull FO Tcv C-0

  Number of points processed: 200
  Number of hyperplanes created: 397
  Number of distance tests for qhull: 2090
  CPU seconds to compute hull (after input): 0.006525


Output completed.  Verifying that all points are below 1e-15 of
all facets.  Will make 40000 distance computations.
rbox 1000 L20 t | qhull FO Tcv C-0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  Tcheck-frequently  Tverify  Centrum-premerge-  0
  _zero-centrum  _max-width  1  Error-roundoff 6.9e-16  _one-merge 4.9e-15
  _near-inside 2.4e-14  Visible-distance 1.4e-15  U-max-coplanar 1.4e-15
  Width-outside 2.8e-15  _wide-facet 8.3e-15

Convex hull of 1000 points in 3-d:

  Number of vertices: 41
  Number of facets: 78

Statistics for: rbox 1000 L20 t1607059691 | qhull FO Tcv C-0

  Number of points processed: 54
  Number of hyperplanes created: 227
  Number of distance tests for qhull: 13204
  CPU seconds to compute hull (after input): 0.002407


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 78000 distance computations.
rbox 200 L20 D4 t | qhull FO Tcv C-0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  Tcheck-frequently  Tverify  Centrum-premerge-  0
  _zero-centrum  _max-width  1  Error-roundoff 1e-15  _one-merge 9e-15
  _near-inside 4.5e-14  Visible-distance 6e-15  U-max-coplanar 6e-15
  Width-outside 1.2e-14  _wide-facet 3.6e-14

Convex hull of 200 points in 4-d:

  Number of vertices: 64
  Number of facets: 292

Statistics for: rbox 200 L20 D4 t1607059691 | qhull FO Tcv C-0

  Number of points processed: 80
  Number of hyperplanes created: 891
  Number of distance tests for qhull: 6384
  CPU seconds to compute hull (after input): 0.007518


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 58400 distance computations.
rbox 200 L20 D5 t | qhull FO Tcv Qx
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  Tcheck-frequently  Tverify  Qxact-merge  _zero-centrum
  _max-width  1  Error-roundoff 1.4e-15  _one-merge 1.5e-14
  _near-inside 7.5e-14  Visible-distance 8.2e-15  U-max-coplanar 8.2e-15
  Width-outside 1.6e-14  _wide-facet 4.9e-14

Convex hull of 200 points in 5-d:

  Number of vertices: 104
  Number of facets: 1526

Statistics for: rbox 200 L20 D5 t1607059691 | qhull FO Tcv Qx

  Number of points processed: 128
  Number of hyperplanes created: 5591
  Number of distance tests for qhull: 20337
  CPU seconds to compute hull (after input): 0.03834

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 305200 distance computations.
rbox 1000 W1e-3 s D2 t | qhull d FO Tcv Qu Q0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  delaunay  Tcheck-frequently  Tverify  QupperDelaunay
  Q0-no-premerge  Pgood  _max-width  1  Error-roundoff 6.9e-16
  Visible-distance 6.9e-16  U-max-coplanar 6.9e-16  Width-outside 1.4e-15
  _wide-facet 4.2e-15

Furthest-site Delaunay triangulation by the convex hull of 1000 points in 3-d:

  Number of input sites: 1000
  Number of Delaunay regions: 269

Statistics for: rbox 1000 W1e-3 s D2 t1607059691 | qhull d FO Tcv Qu Q0

  Number of points processed: 1000
  Number of hyperplanes created: 4733
  Number of facets in hull: 1996
  Number of distance tests for qhull: 27264
  CPU seconds to compute hull (after input): 0.1167


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 269000 distance computations.
rbox 1000 W1e-3 s D2 t | qhull d FO Tcv Qu C-0
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950398318  delaunay  Tcheck-frequently  Tverify  QupperDelaunay
  Centrum-premerge-  0  _zero-centrum  Pgood  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 4.9e-15  _near-inside 2.4e-14
  Visible-distance 1.4e-15  U-max-coplanar 1.4e-15  Width-outside 2.8e-15
  _wide-facet 8.3e-15

Furthest-site Delaunay triangulation by the convex hull of 1000 points in 3-d:

  Number of input sites: 1000
  Number of Delaunay regions: 269

Statistics for: rbox 1000 W1e-3 s D2 t1607059691 | qhull d FO Tcv Qu C-0

  Number of points processed: 1000
  Number of hyperplanes created: 4733
  Number of facets in hull: 1996
  Number of distance tests for qhull: 27264
  CPU seconds to compute hull (after input): 0.1146


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 269000 distance computations.

set +v
=== check joggle and TRn Fri Dec 4 05:28:11 UTC 2020
rbox 100 W0 | qhull QJ1e-14 Qc TR100 Tv

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 15
  Number of coplanar points: 4
  Number of facets: 25

Statistics for: rbox 100 W0 | qhull QJ1e-14 Qc TR100 Tv

  Number of points processed: 15
  Number of hyperplanes created: 11218
  Number of distance tests for qhull: 119030
  CPU seconds to compute hull (after input): 0.02856
  Percentage of runs with precision errors: 100.0


precision problems (corrected unless 'Q0' or an error)
    100 coplanar horizon facets for new vertices
    400 coplanar points during partitioning
rbox 100 W0 | qhull QJ1e-13 Qc TR100 Tv

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 28
  Number of coplanar points: 12
  Number of facets: 50

Statistics for: rbox 100 W0 | qhull QJ1e-13 Qc TR100 Tv

  Number of points processed: 28
  Number of hyperplanes created: 24747
  Number of distance tests for qhull: 195826
  CPU seconds to compute hull (after input): 0.05519
  Percentage of runs with precision errors: 63.0


precision problems (corrected unless 'Q0' or an error)
     10 coplanar half ridges in output
     53 coplanar horizon facets for new vertices
    119 coplanar points during partitioning
rbox 100 W0 | qhull QJ1e-12 Qc TR100 Tv

Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.
Convex hull of 100 points in 3-d:

  Number of vertices: 40
  Number of coplanar points: 16
  Number of facets: 75

Statistics for: rbox 100 W0 | qhull QJ1e-12 Qc TR100 Tv

  Number of points processed: 40
  Number of hyperplanes created: 29152
  Number of distance tests for qhull: 216487
  CPU seconds to compute hull (after input): 0.06399
  Percentage of runs with precision errors:  8.0


precision problems (corrected unless 'Q0' or an error)
      2 coplanar half ridges in output
      6 coplanar horizon facets for new vertices
     17 coplanar points during partitioning
rbox 100 W0 | qhull QJ1e-11 Qc TR100 Tv

Convex hull of 100 points in 3-d:

  Number of vertices: 66
  Number of coplanar points: 34
  Number of facets: 128

Statistics for: rbox 100 W0 | qhull QJ1e-11 Qc TR100 Tv

  Number of points processed: 75
  Number of hyperplanes created: 29577
  Number of distance tests for qhull: 218409
  CPU seconds to compute hull (after input): 0.06277
  Percentage of runs with precision errors:  0.0


precision problems (corrected unless 'Q0' or an error)
      3 coplanar points during partitioning

Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 12800 distance computations.
rbox 100 W0 | qhull QJ1e-10 Qc TR100 Tv

Convex hull of 100 points in 3-d:

  Number of vertices: 66
  Number of coplanar points: 34
  Number of facets: 128

Statistics for: rbox 100 W0 | qhull QJ1e-10 Qc TR100 Tv

  Number of points processed: 75
  Number of hyperplanes created: 29583
  Number of distance tests for qhull: 218315
  CPU seconds to compute hull (after input): 0.06331
  Percentage of runs with precision errors:  0.0


Output completed.  Verifying that all points are below 2.1e-15 of
all facets.  Will make 12800 distance computations.
rbox 100 | qhull d QJ Qb0:1e4 QB0:1e5 Qb1:1e4 QB1:1e6 Qb2:1e5 QB2:1e7 FO Tv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  delaunay  Qbound-dim-low 0 1e+04  QBound-dim-high 0 1e+05
  Qbound-dim-low 1 1e+04  QBound-dim-high 1 1e+06  Qbound-dim-low 2 1e+05
  QBound-dim-high 2 1e+07  Tverify  Pgood  _run 1  QJoggle 6.7e+03
  _joggle-seed 16807  _max-width 1e+14  Error-roundoff 0.11
  Visible-distance 0.11  U-max-coplanar 0.11  Width-outside 0.23
  _wide-facet 0.68

Delaunay triangulation by the convex hull of 100 points in 4-d:

  Number of input sites: 100
  Number of Delaunay regions: 488

Statistics for: rbox 100 | qhull d QJ Qb0:1e4 QB0:1e5 Qb1:1e4 QB1:1e6 Qb2:1e5 QB2:1e7 FO Tv

  Number of points processed: 100
  Number of hyperplanes created: 1477
  Number of facets in hull: 560
  Number of distance tests for qhull: 3418
  CPU seconds to compute hull (after input): 0.002813
  Input joggled by: 6.7e+03


Output completed.  Verifying that all points are below 0.34 of
all facets.  Will make 48800 distance computations.

set +v
=== check precision options Fri Dec 4 05:28:12 UTC 2020
rbox 100 D3 s | qhull E0.01 Qx Tcv FO
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Distance-roundoff 0.01  Qxact-merge  Tcheck-frequently
  Tverify  _zero-centrum  _max-width 0.98  _one-merge 0.07  _near-inside 0.35
  Visible-distance 0.02  U-max-coplanar 0.02  Width-outside 0.04
  _wide-facet 0.12

Convex hull of 100 points in 3-d:

  Number of vertices: 46
  Number of facets: 41
  Number of non-simplicial facets: 29

Statistics for: rbox 100 D3 s | qhull E0.01 Qx Tcv FO

  Number of points processed: 46
  Number of hyperplanes created: 162
  Number of distance tests for qhull: 3834
  Number of distance tests for merging: 1887
  Number of distance tests for checking: 1989
  Number of merged facets: 60
  CPU seconds to compute hull (after input): 0.002798
  Maximum distance of point above facet: 0.048 (0.6x)
  Maximum distance of vertex below facet: -0.072 (0.9x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 4100 distance computations.
rbox 100 D3 W1e-1 | qhull W1e-3 Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 33
  Number of facets: 62

Statistics for: rbox 100 D3 W1e-1 | qhull W1e-3 Tcv

  Number of points processed: 37
  Number of hyperplanes created: 169
  Number of distance tests for qhull: 1565
  CPU seconds to compute hull (after input): 0.001023
  Maximum distance of point above facet: 0.00084


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 6200 distance computations.
rbox 100 D3 W1e-1 | qhull W1e-2 Tcv Q0

Convex hull of 100 points in 3-d:

  Number of vertices: 28
  Number of facets: 52

Statistics for: rbox 100 D3 W1e-1 | qhull W1e-2 Tcv Q0

  Number of points processed: 29
  Number of hyperplanes created: 127
  Number of distance tests for qhull: 1691
  CPU seconds to compute hull (after input): 0.00074


precision problems (corrected unless 'Q0' or an error)
     23 coplanar points during partitioning

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 5200 distance computations.
rbox 100 D3 W1e-1 | qhull W1e-2 Tcv 

Convex hull of 100 points in 3-d:

  Number of vertices: 29
  Number of facets: 54

Statistics for: rbox 100 D3 W1e-1 | qhull W1e-2 Tcv

  Number of points processed: 30
  Number of hyperplanes created: 131
  Number of distance tests for qhull: 1720
  CPU seconds to compute hull (after input): 0.000793
  Maximum distance of point above facet: 0.0057


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 5400 distance computations.
rbox 100 D3 W1e-1 | qhull W1e-1 Tcv

Convex hull of 100 points in 3-d:

  Number of vertices: 13
  Number of facets: 22

Statistics for: rbox 100 D3 W1e-1 | qhull W1e-1 Tcv

  Number of points processed: 13
  Number of hyperplanes created: 45
  Number of distance tests for qhull: 2377
  CPU seconds to compute hull (after input): 0.000423
  Maximum distance of point above facet: 0.098


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2200 distance computations.
rbox 15 D2 P0 P1e-14,1e-14 | qhull d Quc Tcv

Furthest-site Delaunay triangulation by the convex hull of 17 points in 3-d:

  Number of input sites: 17
  Number of Delaunay regions: 5

Statistics for: rbox 15 D2 P0 P1e-14,1e-14 | qhull d Quc Tcv

  Number of points processed: 17
  Number of hyperplanes created: 63
  Number of facets in hull: 28
  Number of distance tests for qhull: 141
  Number of distance tests for merging: 474
  Number of distance tests for checking: 236
  Number of merged facets: 7
  CPU seconds to compute hull (after input): 0.000525
  Maximum distance of point above facet: 1.6e-15 (0.3x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 85 distance computations.
rbox 15 D3 P0 P1e-12,1e-14,1e-14 | qhull d Qcu Tcv

Furthest-site Delaunay triangulation by the convex hull of 17 points in 4-d:

  Number of input sites: 17
  Number of Delaunay regions: 14

Statistics for: rbox 15 D3 P0 P1e-12,1e-14,1e-14 | qhull d Qcu Tcv

  Number of points processed: 17
  Number of hyperplanes created: 123
  Number of facets in hull: 60
  Number of distance tests for qhull: 224
  CPU seconds to compute hull (after input): 0.000541


Output completed.  Verifying that all points are below 2.8e-15 of
all facets.  Will make 238 distance computations.
rbox 1000 s D3 | qhull C-0.01 Tcv Qc

Convex hull of 1000 points in 3-d:

  Number of vertices: 108
  Number of coplanar points: 892
  Number of facets: 95
  Number of non-simplicial facets: 78

Statistics for: rbox 1000 s D3 | qhull C-0.01 Tcv Qc

  Number of points processed: 112
  Number of hyperplanes created: 464
  Number of distance tests for qhull: 62162
  Number of distance tests for merging: 6682
  Number of distance tests for checking: 24376
  Number of merged facets: 264
  CPU seconds to compute hull (after input): 0.01941
  Maximum distance of point above facet: 0.021 (0.7x)
  Maximum distance of vertex below facet: -0.029 (1.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 95000 distance computations.
rbox 1000 s D3 | qhull C-0.01 V0 Qc Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 137
  Number of coplanar points: 863
  Number of facets: 87
  Number of non-simplicial facets: 82

Statistics for: rbox 1000 s D3 | qhull C-0.01 V0 Qc Tcv

  Number of points processed: 466
  Number of hyperplanes created: 2572
  Number of distance tests for qhull: 232428
  Number of distance tests for merging: 47390
  Number of distance tests for checking: 38513
  Number of merged facets: 1818
  CPU seconds to compute hull (after input): 0.1199
  Maximum distance of point above facet: 0.026 (0.9x)
  Maximum distance of vertex below facet: -0.075 (2.5x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 87000 distance computations.
rbox 1000 s D3 | qhull C-0.01 U0 Qc Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 108
  Number of coplanar points: 892
  Number of facets: 97
  Number of non-simplicial facets: 77

Statistics for: rbox 1000 s D3 | qhull C-0.01 U0 Qc Tcv

  Number of points processed: 112
  Number of hyperplanes created: 505
  Number of distance tests for qhull: 62212
  Number of distance tests for merging: 7315
  Number of distance tests for checking: 24575
  Number of merged facets: 260
  CPU seconds to compute hull (after input): 0.02045
  Maximum distance of point above facet: 0.021 (0.7x)
  Maximum distance of vertex below facet: -0.029 (1.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 97000 distance computations.
rbox 1000 s D3 | qhull C-0.01 V0 Qcm Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 87
  Number of coplanar points: 913
  Number of facets: 88
  Number of non-simplicial facets: 56

Statistics for: rbox 1000 s D3 | qhull C-0.01 V0 Qcm Tcv

  Number of points processed: 90
  Number of hyperplanes created: 457
  Number of distance tests for qhull: 46340
  Number of distance tests for merging: 5761
  Number of distance tests for checking: 21602
  Number of merged facets: 192
  CPU seconds to compute hull (after input): 0.01367
  Maximum distance of point above facet: 0.032 (1.1x)
  Maximum distance of vertex below facet: -0.041 (1.4x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 88000 distance computations.
rbox 1000 s D3 | qhull C-0.01 Qcm Tcv

Convex hull of 1000 points in 3-d:

  Number of vertices: 101
  Number of coplanar points: 899
  Number of facets: 95
  Number of non-simplicial facets: 69

Statistics for: rbox 1000 s D3 | qhull C-0.01 Qcm Tcv

  Number of points processed: 104
  Number of hyperplanes created: 433
  Number of distance tests for qhull: 59136
  Number of distance tests for merging: 6024
  Number of distance tests for checking: 24116
  Number of merged facets: 232
  CPU seconds to compute hull (after input): 0.01744
  Maximum distance of point above facet: 0.023 (0.8x)
  Maximum distance of vertex below facet: -0.031 (1.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 95000 distance computations.
rbox 1000 s D3 | qhull C-0.01 Q1 FO Tcv Qc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q1-angle-merge  Tcheck-frequently
  Tverify  Qcoplanar-keep  _max-width  1  Error-roundoff 6.9e-16
  _one-merge 0.03  _near-inside 0.15  Visible-distance 0.01
  U-max-coplanar 0.01  Width-outside 0.02  _wide-facet 0.06

Convex hull of 1000 points in 3-d:

  Number of vertices: 107
  Number of coplanar points: 893
  Number of facets: 97
  Number of non-simplicial facets: 80

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q1 FO Tcv Qc

  Number of points processed: 111
  Number of hyperplanes created: 450
  Number of distance tests for qhull: 61776
  Number of distance tests for merging: 6387
  Number of distance tests for checking: 24594
  Number of merged facets: 253
  CPU seconds to compute hull (after input): 0.01894
  Maximum distance of point above facet: 0.02 (0.7x)
  Maximum distance of vertex below facet: -0.035 (1.2x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 97000 distance computations.
rbox 1000 s D3 | qhull C-0.01 Q2 FO Tcv Qc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q2-no-merge-independent
  Tcheck-frequently  Tverify  Qcoplanar-keep  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.03  _near-inside 0.15
  Visible-distance 0.01  U-max-coplanar 0.01  Width-outside 0.02
  _wide-facet 0.06

Convex hull of 1000 points in 3-d:

  Number of vertices: 106
  Number of coplanar points: 894
  Number of facets: 92
  Number of non-simplicial facets: 74

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q2 FO Tcv Qc

  Number of points processed: 110
  Number of hyperplanes created: 451
  Number of distance tests for qhull: 60312
  Number of distance tests for merging: 6396
  Number of distance tests for checking: 23893
  Number of merged facets: 260
  CPU seconds to compute hull (after input): 0.01896
  Maximum distance of point above facet: 0.023 (0.8x)
  Maximum distance of vertex below facet: -0.049 (1.6x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 92000 distance computations.
rbox 1000 s D3 | qhull C-0.01 Q3 FO Tcv Qc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q3-no-merge-vertices
  Tcheck-frequently  Tverify  Qcoplanar-keep  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.03  _near-inside 0.15
  Visible-distance 0.01  U-max-coplanar 0.01  Width-outside 0.02
  _wide-facet 0.06

Convex hull of 1000 points in 3-d:

  Number of vertices: 112
  Number of coplanar points: 888
  Number of facets: 94
  Number of non-simplicial facets: 78

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q3 FO Tcv Qc

  Number of points processed: 112
  Number of hyperplanes created: 468
  Number of distance tests for qhull: 61911
  Number of distance tests for merging: 6879
  Number of distance tests for checking: 24243
  Number of merged facets: 268
  CPU seconds to compute hull (after input): 0.01949
  Maximum distance of point above facet: 0.021 (0.7x)
  Maximum distance of vertex below facet: -0.03 (1.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 94000 distance computations.
rbox 1000 s D3 | qhull C-0.01 Q4 FO Tcv Qc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q4-avoid-old-into-new
  Tcheck-frequently  Tverify  Qcoplanar-keep  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.03  _near-inside 0.15
  Visible-distance 0.01  U-max-coplanar 0.01  Width-outside 0.02
  _wide-facet 0.06

Convex hull of 1000 points in 3-d:

  Number of vertices: 108
  Number of coplanar points: 892
  Number of facets: 95
  Number of non-simplicial facets: 78

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q4 FO Tcv Qc

  Number of points processed: 112
  Number of hyperplanes created: 464
  Number of distance tests for qhull: 62162
  Number of distance tests for merging: 6682
  Number of distance tests for checking: 24376
  Number of merged facets: 264
  CPU seconds to compute hull (after input): 0.01956
  Maximum distance of point above facet: 0.021 (0.7x)
  Maximum distance of vertex below facet: -0.029 (1.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 95000 distance computations.
echo === this may generate an error ${d:-`date`}
=== this may generate an error Fri Dec 4 05:28:12 UTC 2020
rbox 1000 s D3 | qhull C-0.01 Q5 FO Tcv 
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q5-no-check-outer
  Tcheck-frequently  Tverify  _max-width  1  Error-roundoff 6.9e-16
  _one-merge 0.03  Visible-distance 0.01  U-max-coplanar 0.01
  Width-outside 0.02  _wide-facet 0.06

Convex hull of 1000 points in 3-d:

  Number of vertices: 108
  Number of facets: 95
  Number of non-simplicial facets: 78

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q5 FO Tcv

  Number of points processed: 112
  Number of hyperplanes created: 464
  Number of distance tests for qhull: 35756
  Number of distance tests for merging: 6682
  Number of distance tests for checking: 2036
  Number of merged facets: 264
  CPU seconds to compute hull (after input): 0.01557
  Maximum distance of point above facet: 0.022 (0.7x)
  Maximum distance of vertex below facet: -0.031 (1.0x)

QH7077 qhull input warning: no outer plane check ('Q5') or no processing of near-inside points ('Q8').  Verify may report that a point is outside of a facet.

Output completed.  Verifying that all points are below 0.022 of
all facets.  Will make 95000 distance computations.
echo === this should generate an error ${d:-`date`}
=== this should generate an error Fri Dec 4 05:28:12 UTC 2020
rbox 1000 s D3 | qhull C-0.01 Q6 FO Po Tcv Qc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q6-no-concave-merge  Poutput-forced
  Tcheck-frequently  Tverify  Qcoplanar-keep  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.03  _near-inside 0.15
  Visible-distance 0.01  U-max-coplanar 0.01  Width-outside 0.02
  _wide-facet 0.06
QH6117 qhull precision error: f328 is concave to f329.  Centrum of f328 is 0.001027 above f329
QH6117 qhull precision error: f329 is concave to f328.  Centrum of f329 is 0.004134 above f328
QH6117 qhull precision error: f482 is concave to f484.  Centrum of f482 is 0.0001795 above f484
QH6117 qhull precision error: f484 is concave to f482.  Centrum of f484 is 6.818e-05 above f482

Convex hull of 1000 points in 3-d:

  Number of vertices: 115
  Number of coplanar points: 885
  Number of facets: 184
  Number of non-simplicial facets: 40

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q6 FO Po Tcv Qc

  Number of points processed: 115
  Number of hyperplanes created: 455
  Number of distance tests for qhull: 52081
  Number of distance tests for merging: 1190
  Number of distance tests for checking: 28981
  Number of merged facets: 88
  CPU seconds to compute hull (after input): 0.01635
  Maximum distance of point above facet: 0.02 (0.7x)
  Maximum distance of vertex below facet: -0.009 (0.3x)

rbox 1000 s D3 | qhull C-0.01 Q7 FO Tcv Qc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950415125  Centrum-premerge- 0.01  Q7-no-breadth-first
  Tcheck-frequently  Tverify  Qcoplanar-keep  _max-width  1
  Error-roundoff 6.9e-16  _one-merge 0.03  _near-inside 0.15
  Visible-distance 0.01  U-max-coplanar 0.01  Width-outside 0.02
  _wide-facet 0.06

Convex hull of 1000 points in 3-d:

  Number of vertices: 108
  Number of coplanar points: 892
  Number of facets: 99
  Number of non-simplicial facets: 77

Statistics for: rbox 1000 s D3 | qhull C-0.01 Q7 FO Tcv Qc

  Number of points processed: 110
  Number of hyperplanes created: 449
  Number of distance tests for qhull: 55287
  Number of distance tests for merging: 6050
  Number of distance tests for checking: 22232
  Number of merged facets: 242
  CPU seconds to compute hull (after input): 0.01911
  Maximum distance of point above facet: 0.021 (0.7x)
  Maximum distance of vertex below facet: -0.031 (1.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 99000 distance computations.
rbox 1000 s D3 | qhull C-0.01 Qx Tcv Qc

Convex hull of 1000 points in 3-d:

  Number of vertices: 115
  Number of coplanar points: 885
  Number of facets: 101
  Number of non-simplicial facets: 76

Statistics for: rbox 1000 s D3 | qhull C-0.01 Qx Tcv Qc

  Number of points processed: 115
  Number of hyperplanes created: 455
  Number of distance tests for qhull: 89505
  Number of distance tests for merging: 5154
  Number of distance tests for checking: 19846
  Number of merged facets: 171
  CPU seconds to compute hull (after input): 0.01722
  Maximum distance of point above facet: 0.02 (0.7x)
  Maximum distance of vertex below facet: -0.034 (1.1x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 101000 distance computations.
echo === this may generate an error e.g., t1263080158 ${d:-`date`}
=== this may generate an error e.g., t1263080158 Fri Dec 4 05:28:12 UTC 2020
rbox 100 s D3 t | qhull R1e-3 Tcv Qc

Convex hull of 100 points in 3-d:

  Number of vertices: 99
  Number of coplanar points: 1
  Number of facets: 172
  Number of non-simplicial facets: 18

Statistics for: rbox 100 s D3 t1607059692 | qhull R1e-3 Tcv Qc

  Number of points processed: 99
  Number of hyperplanes created: 472
  Number of distance tests for qhull: 1642
  Number of distance tests for merging: 2736
  Number of distance tests for checking: 1525
  Number of merged facets: 31
  CPU seconds to compute hull (after input): 0.006625
  Maximum distance of point above facet: 0.0016 (0.4x)
  Maximum distance of vertex below facet: -0.0056 (1.4x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 17200 distance computations.
rbox 100 s D3 t | qhull R1e-2 Tcv Qc

Convex hull of 100 points in 3-d:

  Number of vertices: 70
  Number of coplanar points: 30
  Number of facets: 71
  Number of non-simplicial facets: 48

Statistics for: rbox 100 s D3 t1607059692 | qhull R1e-2 Tcv Qc

  Number of points processed: 72
  Number of hyperplanes created: 295
  Number of distance tests for qhull: 3219
  Number of distance tests for merging: 3984
  Number of distance tests for checking: 3324
  Number of merged facets: 143
  CPU seconds to compute hull (after input): 0.007112
  Maximum distance of point above facet: 0.044 (1.1x)
  Maximum distance of vertex below facet: -0.059 (1.5x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 7100 distance computations.
rbox 500 s D3 t | qhull R0.05 A-1 Tcv Qc

Convex hull of 500 points in 3-d:

  Number of vertices: 20
  Number of coplanar points: 480
  Number of facets: 18
  Number of non-simplicial facets: 14

Statistics for: rbox 500 s D3 t1607059692 | qhull R0.05 A-1 Tcv Qc

  Number of points processed: 22
  Number of hyperplanes created: 73
  Number of distance tests for qhull: 19815
  Number of distance tests for merging: 1115
  Number of distance tests for checking: 7589
  Number of merged facets: 42
  CPU seconds to compute hull (after input): 0.004311
  Maximum distance of point above facet: 0.13 (0.2x)
  Maximum distance of vertex below facet: -0.23 (0.4x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 9000 distance computations.
rbox 100 W0 D3 t | qhull R1e-3 Tcv Qc

Convex hull of 100 points in 3-d:

  Number of vertices: 39
  Number of coplanar points: 61
  Number of facets: 50
  Number of non-simplicial facets: 8

Statistics for: rbox 100 W0 D3 t1607059692 | qhull R1e-3 Tcv Qc

  Number of points processed: 51
  Number of hyperplanes created: 167
  Number of distance tests for qhull: 1969
  Number of distance tests for merging: 1465
  Number of distance tests for checking: 1456
  Number of merged facets: 53
  CPU seconds to compute hull (after input): 0.002823
  Maximum distance of point above facet: 0.0022 (0.6x)
  Maximum distance of vertex below facet: -0.0047 (1.2x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 5000 distance computations.
rbox 100 W0 D3 t | qhull R1e-3 Qx Tcv Qc

Convex hull of 100 points in 3-d:

  Number of vertices: 41
  Number of coplanar points: 59
  Number of facets: 54
  Number of non-simplicial facets: 6

Statistics for: rbox 100 W0 D3 t1607059692 | qhull R1e-3 Qx Tcv Qc

  Number of points processed: 54
  Number of hyperplanes created: 174
  Number of distance tests for qhull: 3031
  Number of distance tests for merging: 1546
  Number of distance tests for checking: 1194
  Number of merged facets: 51
  CPU seconds to compute hull (after input): 0.003199
  Maximum distance of point above facet: 0.0017 (0.4x)
  Maximum distance of vertex below facet: -0.0017 (0.4x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 5400 distance computations.
rbox 100 W0 D3 t | qhull R1e-2 Tcv Qc

Convex hull of 100 points in 3-d:

  Number of vertices: 22
  Number of coplanar points: 78
  Number of facets: 21
  Number of non-simplicial facets: 8

Statistics for: rbox 100 W0 D3 t1607059692 | qhull R1e-2 Tcv Qc

  Number of points processed: 29
  Number of hyperplanes created: 90
  Number of distance tests for qhull: 2357
  Number of distance tests for merging: 1141
  Number of distance tests for checking: 1223
  Number of merged facets: 40
  CPU seconds to compute hull (after input): 0.001679
  Maximum distance of point above facet: 0.03 (0.8x)
  Maximum distance of vertex below facet: -0.059 (1.5x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2100 distance computations.
rbox 100 W0 D3 t | qhull R1e-2 Qx Tcv Qc

Convex hull of 100 points in 3-d:

  Number of vertices: 20
  Number of coplanar points: 80
  Number of facets: 20
  Number of non-simplicial facets: 10

Statistics for: rbox 100 W0 D3 t1607059692 | qhull R1e-2 Qx Tcv Qc

  Number of points processed: 30
  Number of hyperplanes created: 94
  Number of distance tests for qhull: 3214
  Number of distance tests for merging: 1085
  Number of distance tests for checking: 964
  Number of merged facets: 43
  CPU seconds to compute hull (after input): 0.001779
  Maximum distance of point above facet: 0.026 (0.7x)
  Maximum distance of vertex below facet: -0.043 (1.1x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2000 distance computations.
rbox 500 W0 D3 t | qhull R0.05 A-1 Tcv Qc

Convex hull of 500 points in 3-d:

  Number of vertices: 8
  Number of coplanar points: 492
  Number of facets: 6
  Number of non-simplicial facets: 6

Statistics for: rbox 500 W0 D3 t1607059692 | qhull R0.05 A-1 Tcv Qc

  Number of points processed: 13
  Number of hyperplanes created: 32
  Number of distance tests for qhull: 14045
  Number of distance tests for merging: 384
  Number of distance tests for checking: 3608
  Number of merged facets: 19
  CPU seconds to compute hull (after input): 0.002605
  Maximum distance of point above facet: 0.12 (0.2x)
  Maximum distance of vertex below facet: -0.2 (0.3x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 3000 distance computations.
rbox 500 W0 D3 t | qhull R0.05 Qx Tcv Qc

Convex hull of 500 points in 3-d:

  Number of vertices: 8
  Number of coplanar points: 492
  Number of facets: 6
  Number of non-simplicial facets: 6

Statistics for: rbox 500 W0 D3 t1607059692 | qhull R0.05 Qx Tcv Qc

  Number of points processed: 15
  Number of hyperplanes created: 36
  Number of distance tests for qhull: 16376
  Number of distance tests for merging: 445
  Number of distance tests for checking: 3461
  Number of merged facets: 21
  CPU seconds to compute hull (after input): 0.002767
  Maximum distance of point above facet: 0.12 (0.6x)
  Maximum distance of vertex below facet: -0.14 (0.7x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 3000 distance computations.
rbox 1000 W1e-20 t | qhull Tcv Qc

Convex hull of 1000 points in 3-d:

  Number of vertices: 75
  Number of coplanar points: 925
  Number of facets: 89
  Number of non-simplicial facets: 6

Statistics for: rbox 1000 W1e-20 t1607059692 | qhull Tcv Qc

  Number of points processed: 96
  Number of hyperplanes created: 310
  Number of distance tests for qhull: 18663
  Number of distance tests for merging: 3003
  Number of distance tests for checking: 15677
  Number of merged facets: 99
  CPU seconds to compute hull (after input): 0.008327


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 89000 distance computations.
rbox 1000 W1e-20 D4 t | qhull Tcv Qc

Convex hull of 1000 points in 4-d:

  Number of vertices: 286
  Number of coplanar points: 714
  Number of facets: 1036
  Number of non-simplicial facets: 8

Statistics for: rbox 1000 W1e-20 D4 t1607059692 | qhull Tcv Qc

  Number of points processed: 371
  Number of hyperplanes created: 4779
  Number of distance tests for qhull: 70843
  Number of distance tests for merging: 57428
  Number of distance tests for checking: 90209
  Number of merged facets: 1170
  CPU seconds to compute hull (after input): 0.2746


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1036000 distance computations.
rbox 500 W1e-20 D5 t | qhull Tv Qc

Convex hull of 500 points in 5-d:

  Number of vertices: 341
  Number of coplanar points: 159
  Number of facets: 5104
  Number of non-simplicial facets: 10

Statistics for: rbox 500 W1e-20 D5 t1607059693 | qhull Tv Qc

  Number of points processed: 390
  Number of hyperplanes created: 24825
  Number of distance tests for qhull: 124563
  Number of distance tests for merging: 273898
  Number of distance tests for checking: 114857
  Number of merged facets: 3144
  CPU seconds to compute hull (after input): 0.1556

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 2552000 distance computations.
rbox 100 W1e-20 D6 t | qhull Tv Qc

Convex hull of 100 points in 6-d:

  Number of vertices: 99
  Number of coplanar points: 1
  Number of facets: 5802
  Number of non-simplicial facets: 8

Statistics for: rbox 100 W1e-20 D6 t1607059693 | qhull Tv Qc

  Number of points processed: 99
  Number of hyperplanes created: 20954
  Number of distance tests for qhull: 33823
  Number of distance tests for merging: 200961
  Number of distance tests for checking: 61177
  Number of merged facets: 277
  CPU seconds to compute hull (after input): 0.1148

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 580200 distance computations.
rbox 50 W1e-20 D6 t | qhull Qv Tv Qc

Convex hull of 50 points in 6-d:

  Number of vertices: 50
  Number of facets: 2001
  Number of non-simplicial facets: 3

Statistics for: rbox 50 W1e-20 D6 t1607059693 | qhull Qv Tv Qc

  Number of points processed: 50
  Number of hyperplanes created: 6025
  Number of distance tests for qhull: 8996
  Number of distance tests for merging: 3284427
  Number of distance tests for checking: 20500
  Number of merged facets: 8
  CPU seconds to compute hull (after input): 0.3013

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 100050 distance computations.
rbox 10000 D4 t | qhull QR0 Qc C-0.01 A0.3 Tv

Convex hull of 10000 points in 4-d:

  Number of vertices: 16
  Number of coplanar points: 9507
  Number of facets: 8
  Number of non-simplicial facets: 8

Statistics for: rbox 10000 D4 t1607059693 | qhull QR0 Qc C-0.01 A0.3 Tv QR1607059694

  Number of points processed: 53
  Number of hyperplanes created: 338
  Number of distance tests for qhull: 1556711
  Number of distance tests for merging: 25198
  Number of distance tests for checking: 89649
  Number of merged facets: 347
  CPU seconds to compute hull (after input): 0.1097
  Maximum distance of point above facet: 0.062
  Maximum distance of vertex below facet: -0.26 (0.1x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 80000 distance computations.
rbox 1000 D2 t | qhull d QR0 Qc C-1e-8 Qu Tv

Furthest-site Delaunay triangulation by the convex hull of 1000 points in 3-d:

  Number of input sites: 1000
  Number of Delaunay regions: 15

Statistics for: rbox 1000 D2 t1607059694 | qhull d QR0 Qc C-1e-8 Qu Tv QR1607059694

  Number of points processed: 1000
  Number of hyperplanes created: 5525
  Number of facets in hull: 1996
  Number of distance tests for qhull: 29672
  CPU seconds to compute hull (after input): 0.01756


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 15000 distance computations.
rbox 300 D5 t |qhull A-0.999 Qx Qc Tcv

Convex hull of 300 points in 5-d:

  Number of vertices: 140
  Number of coplanar points: 36
  Number of facets: 1346
  Number of non-simplicial facets: 366

Statistics for: rbox 300 D5 t1607059694 | qhull A-0.999 Qx Qc Tcv

  Number of points processed: 181
  Number of hyperplanes created: 9980
  Number of distance tests for qhull: 182405
  Number of distance tests for merging: 47983
  Number of distance tests for checking: 24680
  Number of merged facets: 996
  CPU seconds to compute hull (after input): 0.07831
  Maximum distance of point above facet: 0.00012
  Maximum distance of vertex below facet: -0.025 (0.2x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 403800 distance computations.
rbox 100 D6 t |qhull A-0.9999 Qx Qc Tcv

Convex hull of 100 points in 6-d:

  Number of vertices: 86
  Number of coplanar points: 1
  Number of facets: 3599
  Number of non-simplicial facets: 284

Statistics for: rbox 100 D6 t1607059694 | qhull A-0.9999 Qx Qc Tcv

  Number of points processed: 91
  Number of hyperplanes created: 14022
  Number of distance tests for qhull: 30399
  Number of distance tests for merging: 63118
  Number of distance tests for checking: 61920
  Number of merged facets: 699
  CPU seconds to compute hull (after input): 0.08833
  Maximum distance of vertex below facet: -0.0073 (0.2x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 359900 distance computations.
rbox 50 D7 t |qhull A-0.99999 Qx Qc Tcv W0.1

Convex hull of 50 points in 7-d:

  Number of vertices: 44
  Number of coplanar points: 6
  Number of facets: 3991
  Number of non-simplicial facets: 70

Statistics for: rbox 50 D7 t1607059694 | qhull A-0.99999 Qx Qc Tcv W0.1

  Number of points processed: 44
  Number of hyperplanes created: 10930
  Number of distance tests for qhull: 26587
  Number of distance tests for merging: 52734
  Number of distance tests for checking: 132675
  Number of merged facets: 207
  CPU seconds to compute hull (after input): 0.09002
  Maximum distance of point above facet: 0.11
  Maximum distance of vertex below facet: -0.0022 (0.2x)

QH7076 qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx

Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 199550 distance computations.

set +v
=======================================================
=== The following commands may cause errors Fri Dec 4 05:28:14 UTC 2020
=======================================================

=== check bad cases for Qhull Fri Dec 4 05:28:14 UTC 2020
rbox 1000 L100000 s G1e-6 t | qhull Tv
QH7089 qhull precision warning: The initial hull is narrow.  Is the input lower
dimensional (e.g., a square in 3-d instead of a cube)?  Cosine of the minimum
angle is 1.0000000000000000.  If so, Qhull may produce a wide facet.
Options 'Qs' (search all points), 'Qbb' (scale last coordinate), or
'QbB' (scale to unit box) may remove this warning.
See 'Limitations' in qh-impre.htm.  Use 'Pp' to skip this warning.

Convex hull of 1000 points in 3-d:

  Number of vertices: 991
  Number of facets: 1503
  Number of non-simplicial facets: 5

Statistics for: rbox 1000 L100000 s G1e-6 t1607059694 | qhull Tv

  Number of points processed: 991
  Number of hyperplanes created: 3619
  Number of distance tests for qhull: 30323
  Number of distance tests for merging: 135807
  Number of distance tests for checking: 124022
  Number of merged facets: 476
  CPU seconds to compute hull (after input): 0.03478
  Maximum distance of vertex below facet: -2.8e-15 (0.5x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1503000 distance computations.
rbox 1000 L100000 s G1e-6 t | qhull Tv Q10

Convex hull of 1000 points in 3-d:

  Number of vertices: 991
  Number of facets: 1503
  Number of non-simplicial facets: 5

Statistics for: rbox 1000 L100000 s G1e-6 t1607059694 | qhull Tv Q10

  Number of points processed: 991
  Number of hyperplanes created: 3622
  Number of distance tests for qhull: 31815
  Number of distance tests for merging: 135842
  Number of distance tests for checking: 124255
  Number of merged facets: 476
  CPU seconds to compute hull (after input): 0.03443
  Maximum distance of vertex below facet: -2.8e-15 (0.5x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1503000 distance computations.
rbox 1000 s Z1 G1e-13 t | qhull Tv

Convex hull of 1001 points in 3-d:

  Number of vertices: 1001
  Number of facets: 1435
  Number of non-simplicial facets: 137

Statistics for: rbox 1000 s Z1 G1e-13 t1607059694 | qhull Tv

  Number of points processed: 1001
  Number of hyperplanes created: 4616
  Number of distance tests for qhull: 27738
  Number of distance tests for merging: 110372
  Number of distance tests for checking: 316389
  Number of merged facets: 1813
  CPU seconds to compute hull (after input): 0.04915
  Maximum distance of point above facet: 1e-14 (1.9x)
  Maximum distance of vertex below facet: -1.7e-14 (3.0x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 1436435 distance computations.
rbox 1000 s W1e-13 P0 t | qhull d Qbb Qc Q12 Tv
QH6417 qhull precision error (qh_merge_twisted): twisted facet f4785 does not contain pinched vertices.  Too wide to merge into neighbor.  mindist -1.7e-11 maxdist  0 vertexdist 0.00096 maxpinched 1.8e-13 neighbor f18612 mindist -2.2e-13 maxdist  0
ERRONEOUS FACET:
- f4785
    - flags: bottom upperDelaunay tested keepcentrum
    - merges: 511max
    - normal:  1.851e-13 -2.914e-14 -5.208e-14        1
    - offset: -0.4998995
    - center: 0.4466571597882988 -0.05520835713040696 -0.1248455510694098 0.4998995366018866 
    - maxoutside: 3.941292e-15
    - vertices: p987(v920) p177(v919) p172(v918) p27(v917) p830(v916) p996(v910) p934(v909) p432(v908) p569(v907) p804(v903) p465(v902) p867(v900) p116(v899) p23(v893) p974(v892) p44(v891) p6(v888) p62(v886) p7(v884) p146(v883) p948(v876) p366(v872) p430(v870) p474(v869) p789(v868) p859(v867) p488(v866) p887(v865) p838(v864) p747(v863) p246(v862) p262(v861) p687(v860) p641(v859) p698(v858) p462(v857) p440(v856) p607(v855) p749(v854) p588(v850) p444(v848) p1000(v847) p387(v846) p772(v845) p51(v841) p469(v840) p361(v839) p783(v838) p205(v837) p473(v836) p481(v835) p992(v834) p676(v833) p936(v832) p900(v831) p68(v830) p123(v829) p631(v828) p112(v827) p453(v826) p162(v825) p916(v824) p776(v821) p949(v820) p373(v819) p272(v817) p339(v816) p293(v815) p263(v814) p661(v812) p248(v809) p364(v808) p464(v807) p513(v806) p217(v804) p862(v803) p601(v801) p755(v799) p654(v798) p385(v796) p85(v795) p475(v794) p66(v793) p228(v792) p817(v791) p732(v790) p141(v789) p164(v787) p251(v785) p653(v784) p926(v783) p422(v782) p595(v781) p671(v780) p328(v779) p461(v778) p324(v777) p178(v776) p637(v775) p699(v774) p33(v773) p173(v772) p56(v771) p700(v770) p526(v769) p674(v768) p722(v767) p155(v766) p377(v765) p907(v764) p960(v763) p832(v762) p495(v761) p952(v760) p122(v759) p426(v758) p232(v757) p742(v756) p507(v755) p583(v754) p710(v753) p445(v752) p383(v751) p207(v750) p777(v749) p570(v748) p746(v747) p682(v746) p482(v745) p380(v744) p724(v743) p549(v742) p417(v741) p701(v740) p93(v739) p967(v738) p972(v736) p484(v734) p463(v733) p841(v732) p362(v731) p32(v730) p143(v729) p976(v727) p258(v726) p828(v725) p451(v724) p154(v723) p662(v722) p186(v719) p754(v718) p61(v717) p522(v716) p665(v715) p354(v714) p165(v713) p923(v712) p852(v711) p779(v710) p555(v709) p53(v708) p54(v707) p254(v706) p878(v705) p906(v704) p957(v703) p395(v701) p691(v700) p200(v699) p556(v697) p403(v696) p466(v695) p107(v694) p45(v693) p748(v692) p615(v691) p48(v690) p718(v689) p711(v688) p909(v687) p419(v685) p678(v684) p855(v683) p479(v681) p956(v680) p626(v679) p602(v678) p879(v677) p619(v676) p470(v675) p524(v674) p183(v673) p774(v672) p448(v671) p833(v670) p26(v669) p649(v668) p842(v667) p443(v666) p344(v665) p770(v664) p866(v662) p769(v661) p378(v659) p823(v657) p560(v655) p702(v654) p34(v653) p780(v652) p117(v651) p13(v650) p928(v649) p953(v648) p924(v647) p415(v646) p970(v645) p514(v644) p406(v643) p243(v642) p910(v641) p993(v640) p208(v639) p286(v638) p233(v637) p283(v636) p579(v635) p134(v634) p37(v633) p982(v632) p152(v631) p547(v629) p659(v628) p644(v627) p683(v626) p352(v625) p409(v624) p871(v623) p290(v622) p766(v621) p958(v620) p486(v619) p762(v618) p512(v617) p72(v616) p903(v615) p176(v614) p221(v613) p856(v612) p672(v611) p277(v610) p781(v609) p87(v608) p680(v606) p620(v605) p307(v604) p523(v603) p184(v602) p456(v601) p371(v600) p365(v599) p872(v598) p460(v597) p196(v596) p223(v595) p153(v593) p885(v590) p170(v589) p655(v588) p231(v587) p249(v586) p236(v585) p83(v584) p634(v583) p548(v582) p927(v581) p21(v580) p436(v579) p305(v578) p920(v577) p331(v576) p268(v575) p439(v574) p664(v573) p937(v571) p402(v568) p73(v564) p853(v563) p31(v562) p542(v560) p129(v559) p429(v558) p166(v557) p955(v556) p531(v555) p297(v554) p668(v553) p591(v552) p984(v551) p990(v549) p786(v548) p298(v547) p824(v546) p335(v545) p140(v544) p317(v543) p613(v542) p191(v541) p647(v540) p308(v539) p915(v538) p534(v537) p76(v536) p396(v535) p739(v534) p750(v533) p128(v532) p802(v531) p388(v530) p961(v529) p358(v528) p553(v525) p599(v524) p645(v523) p573(v520) p736(v519) p652(v518) p624(v517) p723(v516) p539(v515) p98(v514) p858(v513) p713(v512) p963(v511) p839(v510) p180(v509) p132(v508) p219(v506) p77(v505) p323(v504) p965(v502) p969(v501) p70(v500) p983(v499) p478(v498) p368(v495) p931(v494) p227(v493) p527(v492) p988(v491) p843(v490) p493(v489) p829(v488) p940(v487) p74(v486) p423(v485) p25(v484) p343(v483) p55(v482) p612(v481) p605(v480) p214(v478) p256(v476) p709(v475) p562(v474) p714(v473) p717(v472) p322(v471) p295(v470) p684(v469) p850(v467) p111(v466) p84(v465) p199(v464) p917(v463) p580(v462) p147(v461) p235(v460) p382(v459) p815(v458) p11(v457) p374(v456) p870(v455) p731(v454) p688(v453) p559(v451) p137(v450) p14(v449) p118(v445) p545(v443) p242(v442) p571(v441) p347(v440) p719(v435) p28(v434) p998(v432) p690(v429) p696(v428) p532(v427) p455(v426) p741(v425) p636(v424) p16(v423) p313(v420) p935(v419) p52(v418) p60(v417) p813(v416) p64(v415) p893(v414) p188(v413) p102(v412) p201(v411) p370(v410) p375(v409) p500(v408) p894(v407) p844(v406) p401(v405) p181(v404) p100(v403) p115(v402) p88(v401) p302(v400) p12(v399) p265(v398) p190(v397) p247(v396) p790(v395) p533(v394) p389(v393) p103(v392) p882(v391) p540(v390) p635(v389) p737(v388) p517(v387) p494(v386) p788(v385) p291(v384) p574(v383) p253(v382) p902(v381) p541(v374) p359(v373) p193(v372) p554(v371) p261(v370) p266(v369) p287(v368) p320(v367) p801(v366) p226(v365) p8(v364) p159(v363) p334(v362) p658(v361) p535(v360) p694(v359) p877(v358) p485(v357) p108(v356) p805(v355) p667(v353) p586(v352) p63(v351) p142(v350) p151(v349) p864(v348) p438(v347) p876(v346) p854(v345) p89(v344) p240(v343) p836(v342) p734(v341) p825(v340) p538(v339) p269(v338) p550(v337) p600(v336) p492(v335) p355(v334) p646(v333) p197(v332) p826(v331) p351(v330) p329(v329) p596(v328) p677(v327) p756(v326) p628(v325) p715(v324) p846(v322) p446(v321) p38(v320) p285(v319) p703(v317) p991(v316) p234(v311) p884(v310) p706(v309) p121(v308) p608(v307) p437(v305) p576(v304) p212(v302) p951(v301) p356(v300) p901(v299) p814(v298) p131(v297) p686(v295) p185(v294) p3(v293) p738(v292) p898(v291) p997(v290) p299(v289) p911(v288) p372(v285) p590(v284) p897(v283) p563(v282) p80(v281) p971(v280) p337(v279) p330(v277) p632(v276) p30(v275) p918(v274) p633(v273) p603(v272) p346(v271) p886(v270) p353(v269) p78(v268) p587(v267) p728(v266) p528(v265) p807(v264) p625(v263) p865(v262) p795(v261) p338(v260) p922(v259) p202(v258) p104(v256) p468(v255) p471(v254) p144(v252) p758(v250) p921(v249) p57(v248) p745(v247) p99(v246) p594(v245) p213(v244) p139(v243) p707(v242) p218(v241) p411(v240) p259(v239) p280(v238) p392(v237) p883(v236) p764(v235) p412(v234) p497(v233) p622(v232) p5(v231) p716(v230) p761(v229) p986(v228) p179(v227) p450(v226) p504(v225) p413(v224) p840(v223) p994(v221) p267(v220) p681(v219) p943(v218) p962(v217) p744(v216) p693(v215) p510(v214) p771(v213) p306(v212) p278(v211) p536(v210) p106(v209) p304(v206) p827(v205) p946(v204) p220(v201) p425(v199) p65(v197) p609(v196) p42(v195) p558(v194) p109(v191) p160(v190) p995(v189) p557(v188) p880(v187) p768(v185) p639(v183) p441(v182) p35(v181) p727(v180) p782(v179) p845(v178) p791(v177) p611(v175) p800(v174) p192(v173) p640(v172) p794(v171) p798(v170) p812(v169) p797(v168) p638(v167) p94(v166) p888(v165) p506(v164) p376(v163) p740(v162) p341(v161) p145(v160) p810(v159) p171(v158) p393(v153) p384(v152) p81(v151) p895(v150) p489(v149) p381(v148) p751(v147) p480(v145) p163(v144) p618(v143) p20(v142) p630(v141) p255(v140) p792(v139) p427(v138) p873(v137) p575(v136) p697(v133) p215(v132) p932(v131) p483(v130) p989(v129) p315(v127) p477(v126) p454(v125) p629(v123) p519(v122) p930(v118) p189(v116) p568(v115) p821(v114) p621(v113) p610(v111) p431(v110) p36(v109) p90(v105) p29(v104) p428(v103) p763(v100) p849(v99) p325(v98) p113(v97) p874(v96) p321(v95) p578(v94) p606(v93) p276(v92) p399(v91) p760(v90) p947(v89) p834(v88) p120(v87) p59(v84) p281(v83) p210(v82) p981(v81) p229(v80) p288(v79) p944(v78) p47(v76) p158(v75) p521(v74) p18(v73) p530(v72) p310(v71) p245(v69) p264(v68) p978(v66) p851(v64) p689(v63) p778(v62) p869(v60) p4(v59) p2(v57) p966(v55) p312(v54) p49(v53) p244(v52) p211(v51) p721(v49) p316(v47) p811(v46) p349(v45) p19(v43) p627(v41) p182(v40) p457(v39) p292(v37) p136(v36) p169(v33) p863(v32) p289(v31) p584(v30) p941(v28) p408(v27) p97(v26) p904(v25) p394(v24) p391(v23) p435(v22) p809(v20) p194(v18) p908(v17) p753(v16) p785(v15) p418(v14) p95(v13) p273(v12) p501(v10) p222(v8) p784(v7) p973(v6) p270(v4) p127(v3) p476(v1)
    - neighboring facets: f7181 f13972 f4762 f11170 f5929 f11171 f11314 f11463 f14580 f13966 f18114 f11176 f9793 f14585 f8857 f2968 f18178 f8855 f9790 f9698 f6154 f11362 f11368 f8880 f11178 f11359 f6071 f8947 f9014 f6056 f11366 f11323 f11479 f6155 f3940 f11172 f6020 f3941 f18102 f11797 f7702 f7686 f16182 f12560 f5259 f18474 f5268 f5240 f7701 f12563 f5258 f18470 f1964 f1965 f5400 f16162 f10664 f16183 f18498 f16184 f18437 f7930 f18479 f12987 f8466 f16010 f18612 f18528 f18395 f18540 f16002 f15340 f15334 f18503 f15339 f18445 f14894 f10612 f16013 f18544 f12936 f10596 f13767 f10604 f10611 f13810 f13794 f18054 f13805 f13822 f13793 f8760 f13791 f13788 f11144 f11146 f13816 f18059 f13815 f12992 f5865 f11095 f18056 f13819 f12935 f5401 f7913 f7912 f11151 f12938 f13812 f8744 f12990 f13821 f8761 f5844 f18048 f18420 f14837 f13765 f8467 f8762 f16161 f16164 f16186 f16166 f18417 f14872 f14836 f14854 f18391 f14834 f14827 f14833 f18467 f14083 f18195 f11492 f12164 f18145 f11493 f16798 f18189 f18191 f12167 f18193 f2385 f6355 f4191 f16148 f6324 f4211 f6377 f2360 f4350 f4210 f6376 f6186 f4212 f2346 f1209 f2347 f7493 f6203 f4651 f7492 f14676 f14677 f14369 f14364 f6630 f11624 f9343 f9059 f6638 f6486 f9342 f9344 f2579 f2500 f14363 f9351 f6639 f14366 f11630 f6487 f6628 f9850 f14026 f11486 f13880 f12182 f14029 f18098 f14562 f3012 f18329 f14524 f14563 f14601 f18355 f8434 f18177 f13928 f14546 f12183 f14543 f14545 f11485 f11487 f11488 f12168 f12163 f12165 f9018 f18364 f11037 f12019 f18182 f13855 f7602 f11052 f11055 f5455 f14544 f18184 f18169 f12026 f11056 f11033 f12260 f14566 f18185 f13935 f14525 f18356 f18377 f14600 f14625 f18214 f8448 f14565 f11044 f3869 f3512 f6018 f14501 f4249 f14494 f12997 f7981 f10197 f18201 f14071 f7980 f10199 f5532 f12567 f1990 f12102 f9844 f18118 f14049 f10695 f10466 f2076 f18205 f14047 f13828 f18521 f14082 f18203 f13927 f14502 f6354 f14821 f18515 f14820 f6252 f13029 f14826 f12595 f14822 f18438 f18225 f13034 f10803 f13031 f13033 f10802 f18537 f14081 f12995 f8024 f14084 f5644 f8180 f11651 f10938 f8201 f14735 f10925 f8176 f8181 f9359 f6602 f8400 f8399 f10928 f11653 f6322 f2389 f9156 f11579 f2388 f1132 f2308 f16054 f7431 f11567 f11578 f11568 f16056 f16057 f16055 f11576 f16053 f11581 f9120 f11582 f13728 f11575 f11571 f12844 f9624 f18309 f6916 f14468 f6460 f11706 f11946 f18307 f11960 f9356 f6446 f6463 f14470 f18278 f13727 f11622 f9198 f18226 f14349 f14348 f11094 f4996 f4368 f6682 f5000 f6575 f4649 f6576 f9305 f6670 f6668 f11623 f9645 f4392 f11738 f11991 f11781 f2565 f11663 f4647 f9306 f11650 f11649 f6706 f11136 f5679 f11662 f11660 f5686 f1504 f11008 f5680 f14358 f8396 f18020 f6453 f4418 f11130 f4413 f13155 f11595 f13150 f1501 f11135 f6686 f5009 f9276 f6583 f2543 f11643 f13170 f6683 f14393 f18294 f18033 f13731 f18280 f6701 f12493 f9248 f11664 f9268 f9249 f4338 f11617 f14368 f11129 f11616 f4383 f4381 f4380 f4370 f4382 f4163 f11618 f11636 f6684 f6276 f14464 f9111 f9192 f11634 f11633 f11635 f6273 f9112 f6274 f4268 f6441 f6272 f11661 f18005 f11159 f18002 f16139 f6360 f10821 f12216 f9137 f13827 f18584 f13808 f14939 f9189 f12841 f6464 f9175 f6413 f12820 f13773 f18532 f10398 f18504 f15209 f5904 f18510 f15316 f9186 f18512 f9140 f5905 f16031 f14938 f14936 f6466 f13162 f6405 f18592 f18596 f15324 f18506 f10439 f15206 f4256 f15205 f13779 f9139 f9134 f11073 f13778 f6454 f13807 f13776 f13803 f3965 f16024 f9911 f12816 f11072 f16034 f13780 f15207 f15208 f15342 f18594 f6381 f6473 f6429 f6378 f4250 f6430 f9196 f6382 f6428 f9197 f6474 f9185 f9193 f6471 f9183 f13749 f9190 f9182 f6467 f13750 f13755 f18041 f18024 f18044 f13756 f14469 f14465 f13736 f13138 f5840 f13114 f13177 f10976 f5594 f5838 f5561 f5630 f5267 f18030 f5269 f5629 f5405 f10188 f5406 f5397 f13171 f11594 f6483 f7796 f13710 f14446 f3522 f5547 f5218 f13112 f5549 f13771 f10186 f5217 f5548 f5206 f10859 f8146 f13113 f5628 f5586 f5550 f10884 f18019 f13970 f5271 f5272 f3661 f13173 f5882 f5883 f6484 f5839 f3600 f5881 f13770 f5889 f6479 f5888 f13766 f13172 f2436 f6480 f13737 f11128 f6478 f10990 f18036 f8361 f10979 f10983 f13723 f10978 f13726 f6287 f13725 f13145 f9200 f6700 f11652 f6702 f6705 f14790 f13154 f14404 f9403 f9400 f10901 f18317 f14399 f11849 f14398 f9404 f14395 f10903 f14402 f4190 f12554 f11851 f5207 f11961 f11952 f11888 f11967 f4735 f11891 f11890 f14384 f4622 f12475 f6612 f9619 f11923 f11707 f7704 f11959 f7552 f10110 f5165 f18422 f7574 f5159 f6577 f2474 f18419 f12535 f6323 f12420 f12423 f18430 f3513 f9676 f10112 f14787 f12502 f12445 f4982 f6687 f14680 f11917 f14429 f7399 f6688 f7516 f11919 f9960 f6618 f9915 f9914 f3271 f9922 f12472 f4981 f1721 f9923 f7396 f14678 f10039 f9913 f9942 f5145 f10046 f6594 f10094 f10052 f7575 f4656 f4658 f11699 f7072 f4659 f7078 f7074 f7079 f2850 f12017 f11816 f14604 f11801 f802 f14637 f2348 f4629 f14412 f16751 f14638 f12020 f7164 f12004 f14411 f14427 f6829 f9707 f12021 f11747 f6828 f6909 f18340 f18339 f18328 f18338 f11749 f18342 f6891 f4566 f18332 f11751 f9533 f6890 f14432 f4565 f14445 f7174 f18331 f18323 f14444 f18334 f11746 f9422 f9445 f11752 f9419 f6801 f14409 f9448 f6835 f14413 f6836 f9439 f6837 f9434 f9623 f18336 f18349 f18228 f6908 f11777 f9460 f11775 f6778 f9562 f11846 f9425 f9424 f9427 f10165 f9458 f9629 f9563 f9416 f9446 f9420 f11748 f12549 f12547 f6915 f4584 f4580 f11845 f9442 f12548 f12551 f7119 f7706 f9459 f9627 f7016 f11844 f11843 f4673 f4605 f2381 f7632 f10145 f12558 f10164 f4955 f13884 f4768 f11808 f9571 f7021 f11440 f11472 f7036 f14000 f11438 f18542 f4698 f7032 f7020 f18124 f4699 f13940 f11519 f7137 f10183 f10180 f7705 f4736 f2889 f2888 f10189 f10187 f12147 f7691 f7630 f9886 f14435 f14430 f12564 f14434 f14433 f12561 f11824 f7689 f7688 f4918 f4921 f4919 f1131 f4328 f9888 f5143 f14072 f946 f10139 f10941 f8198 f13160 f10890 f10940 f8203 f10891 f13156 f10870 f13144 f10860 f16135 f13158 f14710 f10900 f10902 f10892 f14624 f13020 f14617 f13009 f18464 f4899 f2994 f9802 f4957 f2995 f7335 f4956 f13933 f11521 f14784 f16750 f18086 f14489 f18403 f6601 f14631 f9804 f9721 f14621 f14605 f5208 f18084 f12212 f18082 f12086 f14499 f7338 f14619 f13163 f14626 f13842 f8863 f8955 f8971 f8890 f1583 f11309 f4320 f8858 f8956 f5024 f8976 f8969 f14738 f16096 f7437 f5189 f9712 f11511 f14782 f8876 f1090 f8872 f7439 f8958 f14703 f6126 f8865 f8861 f4799 f7605 f6200 f7506 f6196 f12240 f14687 f12241 f16082 f5193 f9939 f9943 f11408 f18416 f18433 f9972 f1576 f14665 f14663 f16799 f14690 f12324 f14662 f4645 f18412 f12322 f12323 f10569 f12304 f12280 f14657 f11045 f11046 f6259 f6194 f11535 f12892 f11540 f11526 f11534 f9065 f4120 f6182 f11545 f9095 f11544 f11524 f14099 f18209 f9096 f9090 f18217 f18210 f10568 f14098 f11556 f14295 f9927 f14293 f14294 f14100 f9088 f6238 f9091 f6179 f6210 f6180 f5135 f14317 f14323 f9063 f18233 f14316 f16093 f16092 f14322 f18218 f9064 f6254 f14726 f6260 f6195 f12869 f11552 f14292 f16039 f16121 f10565 f10141 f12830 f12923 f16127 f16124 f11645 f12831 f10581 f16122 f16152 f16126 f16134 f14731 f13074 f10564 f9930 f10450 f12889 f2384 f16143 f16087 f7429 f12840 f4333 f18223 f16086 f10472 f10820 f16145 f13075 f12891 f16141 f16146 f10566 f16156 f12927 f16132 f16131 f16151 f16129 f16133 f12318 f12321 f18404 f16159 f16154 f16158 f18232 f14088 f10125 f5195 f9944 f9937 f10127 f5108 f9935 f9938 f9946 f9945 f9940 f12389 f10134 f10133 f6127 f8974 f8973 f18212 f11522 f11512 f12473 f14736 f4078 f18400 f6614 f6617 f4070 f4073 f6616 f6624 f4071 f6623 f4077 f4072 f3043 f7428 f11543 f11542 f1133 f4329 f1206 f2361 f18410 f14732 f12252 f14660 f18397 f12343 f8461 f14661 f14704 f18361 f13078 f14666 f12340 f11035 f12261 f12251 f14693 f12342 f16104 f18365 f16117 f14696 f14697 f12374 f16116 f16110 f16115 f16114 f10591 f14692 f16111 f16102 f13077 f16100 f16108 f16101 f16107 f10692 f9037 f9038 f8460 f5795 f10690 f10494 f10508 f12911 f10691 f10492 f12915 f12916 f16040 f16038 f12826 f10507 f12910 f12908 f10506 f12827 f10468 f12909 f18406 f14746 f13016 f18463 f18457 f18456 f16796 f13007 f14640 f9904 f7395 f9900 f9486 f14077 f14641 f14896 f14635 f7368 f4911 f12238 f12233 f7371 f7219 f7370 f12231 f12230 f13010 f14861 f14080 f7334 f7869 f5394 f16176 f7866 f7341 f10638 f16173 f16179 f16783 f16784 f7907 f18482 f18414 f18409 f10641 f16759 f16773 f10603 f7333 f12227 f18401 f7372 f7391 f7390 f12228 f12226 f7868 f16177 f16174 f10639 f16778 f16774 f16776 f16779 f7872 f7873 f1918 f10600 f10602 f16757 f16780 f10636 f16787 f16786 f18496 f18489 f8977 f13849 f13843 f18526 f18509 f18091 f13920 f5351 f10467 f6606 f12442 f14786 f9058 f11173 f13848 f4648 f12308 f9910 f5142 f2325 f10399 f4994 f6685 f11642 f11646 f10473 f17992 f15239 f15244 f16797 f16149 f12498 f5166 f10111 f8979 f13844 f11312 f3868 f8963 f6021 f7398 f1722 f12474 f5152 f5138 f18165 f14097 f12018 f8978 f11520 f12467 f14781 f18426 f12447 f12534 f12462 f14734 f12392 f12476 f7603 f11513 f14092 f16097 f16094 f8948 f3900 f8957 f2266 f6124 f10092 f2319 f5140 f12388 f12391 f5146 f12393 f10129 f12390 f11916 f4611 f4612 f6592 f5109 f10026 f9675 f11047 f2324 f7491 f7502 f7503 f9062 f6189 f9066 f9956 f14823 f14078 f15306 f15305 f18119 f18099 f18096 f18095 f18109 f18215 f18222 f18220 f18230 f18325 f18357 f18362 f18359 f18407 f18501 f18500 f18493 f18494 f18507 f18514 f18533 f18529 f18539 f18545
    - ridges:
     - r6962 tested
           vertices: p118(v445) p541(v374) p264(v68)
           between f7181 and f4785
     - r5718 tested
           vertices: p541(v374) p106(v209) p264(v68)
           between f7181 and f4785
     - r11184 tested
           vertices: p652(v518) p541(v374) p106(v209)
           between f4785 and f7181
     - r14720 tested simplicialbot
           vertices: p251(v785) p118(v445) p541(v374)
           between f4785 and f13972
     - r14710 tested simplicialtop
           vertices: p251(v785) p541(v374) p408(v27)
           between f4785 and f13972
     - r6954 tested
           vertices: p118(v445) p234(v311) p264(v68)
           between f4785 and f4762
     - r23084 tested simplicialbot
           vertices: p780(v652) p291(v384) p408(v27)
           between f4785 and f11170
     - r8945 tested
           vertices: p652(v518) p541(v374) p408(v27)
           between f5929 and f4785
     - r23085 tested simplicialtop
           vertices: p780(v652) p539(v515) p408(v27)
           between f11171 and f4785
     - r11346 tested simplicialtop
           vertices: p823(v657) p253(v382) p145(v160)
           between f11314 and f4785
     - r11345 tested simplicialbot
           vertices: p823(v657) p253(v382) p120(v87)
           between f4785 and f11314
     - r11450 tested simplicialbot
           vertices: p866(v662) p291(v384) p171(v158)
           between f4785 and f11463
     - r15569 tested
           vertices: p272(v817) p937(v571) p264(v68)
           between f4785 and f14580
     - r15562 tested simplicialtop
           vertices: p272(v817) p991(v316) p264(v68)
           between f14580 and f4785
     - r14713 tested simplicialtop
           vertices: p251(v785) p866(v662) p291(v384)
           between f13966 and f4785
     - r14715 tested
           vertices: p251(v785) p291(v384) p408(v27)
           between f13966 and f4785
     - r23206 tested
           vertices: p62(v886) p251(v785) p866(v662)
           between f4785 and f13966
     - r23179 tested simplicialbot
           vertices: p7(v884) p461(v778) p359(v373)
           between f4785 and f18114
     - r23054 tested simplicialbot
           vertices: p34(v653) p780(v652) p723(v516)
           between f4785 and f11176
     - r11217 tested simplicialbot
           vertices: p937(v571) p137(v450) p106(v209)
           between f4785 and f9793
     - r15573 tested simplicialtop
           vertices: p272(v817) p937(v571) p559(v451)
           between f14585 and f4785
     - r11203 tested simplicialtop
           vertices: p652(v518) p539(v515) p106(v209)
           between f8857 and f4785
     - r9810 tested
           vertices: p937(v571) p106(v209) p264(v68)
           between f4785 and f2968
     - r23174 tested simplicialtop
           vertices: p7(v884) p926(v783) p624(v517)
           between f4785 and f18178
     - r23242 tested simplicialtop
           vertices: p6(v888) p328(v779) p737(v388)
           between f18178 and f4785
     - r23245 tested
           vertices: p6(v888) p624(v517) p922(v259)
           between f4785 and f18178
     - r23231 tested
           vertices: p6(v888) p702(v654) p624(v517)
           between f4785 and f18178
     - r23177 tested
           vertices: p7(v884) p702(v654) p624(v517)
           between f18178 and f4785
     - r23178 tested
           vertices: p7(v884) p461(v778) p702(v654)
           between f18178 and f4785
     - r23239 tested
           vertices: p6(v888) p328(v779) p702(v654)
           between f4785 and f18178
     - r11211 tested simplicialbot
           vertices: p652(v518) p539(v515) p408(v27)
           between f4785 and f8855
     - r11216 tested simplicialbot
           vertices: p937(v571) p559(v451) p137(v450)
           between f4785 and f9790
     - r14709 tested
           vertices: p251(v785) p571(v441) p827(v205)
           between f4785 and f9698
     - r23039 tested simplicialtop
           vertices: p517(v387) p468(v255) p785(v15)
           between f6154 and f4785
     - r11356 tested simplicialtop
           vertices: p378(v659) p823(v657) p574(v383)
           between f11362 and f4785
     - r11355 tested simplicialbot
           vertices: p378(v659) p645(v523) p574(v383)
           between f4785 and f11368
     - r11321 tested simplicialtop
           vertices: p823(v657) p573(v520) p171(v158)
           between f8880 and f4785
     - r11328 tested simplicialbot
           vertices: p823(v657) p121(v308) p171(v158)
           between f4785 and f8880
     - r11330 tested
           vertices: p823(v657) p573(v520) p736(v519)
           between f4785 and f8880
     - r11331 tested
           vertices: p823(v657) p736(v519) p121(v308)
           between f4785 and f8880
     - r11180 tested
           vertices: p34(v653) p780(v652) p291(v384)
           between f11178 and f4785
     - r11183 tested simplicialtop
           vertices: p34(v653) p291(v384) p468(v255)
           between f11178 and f4785
     - r11353 tested simplicialbot
           vertices: p378(v659) p823(v657) p573(v520)
           between f4785 and f11359
     - r9026 tested simplicialtop
           vertices: p291(v384) p574(v383) p468(v255)
           between f6071 and f4785
     - r9025 tested simplicialbot
           vertices: p645(v523) p291(v384) p574(v383)
           between f4785 and f8947
     - r9024 tested simplicialtop
           vertices: p645(v523) p291(v384) p171(v158)
           between f9014 and f4785
     - r8996 tested simplicialbot
           vertices: p574(v383) p468(v255) p145(v160)
           between f4785 and f6056
     - r11357 tested simplicialbot
           vertices: p378(v659) p573(v520) p171(v158)
           between f4785 and f11366
     - r11309 tested simplicialbot
           vertices: p823(v657) p574(v383) p145(v160)
           between f4785 and f11323
     - r11358 tested simplicialtop
           vertices: p378(v659) p645(v523) p171(v158)
           between f11479 and f4785
     - r5990 tested simplicialtop
           vertices: p517(v387) p795(v261) p468(v255)
           between f6155 and f4785
     - r23038 tested simplicialbot
           vertices: p104(v256) p468(v255) p785(v15)
           between f4785 and f3940
     - r11115 tested simplicialbot
           vertices: p34(v653) p795(v261) p468(v255)
           between f4785 and f11172
     - r23046 tested simplicialtop
           vertices: p253(v382) p104(v256) p145(v160)
           between f6020 and f4785
     - r23045 tested simplicialtop
           vertices: p104(v256) p468(v255) p145(v160)
           between f3941 and f4785
     - r23170 tested simplicialtop
           vertices: p7(v884) p926(v783) p137(v450)
           between f18102 and f4785
     - r23053 tested simplicialtop
           vertices: p718(v689) p955(v556) p946(v204)
           between f11797 and f4785
     - r20452 tested simplicialtop
           vertices: p709(v475) p562(v474) p734(v341)
           between f7702 and f4785
     - r20449 tested simplicialbot
           vertices: p562(v474) p734(v341) p315(v127)
           between f4785 and f7686
     - r22276 tested simplicialtop
           vertices: p859(v867) p290(v622) p940(v487)
           between f16182 and f4785
     - r21029 tested simplicialbot
           vertices: p32(v730) p371(v600) p761(v229)
           between f4785 and f12560
     - r21577 tested simplicialtop
           vertices: p734(v341) p20(v142) p47(v76)
           between f5259 and f4785
     - r22473 tested simplicialtop
           vertices: p205(v837) p495(v761) p484(v734)
           between f18474 and f4785
     - r21581 tested simplicialtop
           vertices: p836(v342) p734(v341) p47(v76)
           between f5268 and f4785
     - r22166 tested simplicialtop
           vertices: p734(v341) p315(v127) p435(v22)
           between f5240 and f4785
     - r20852 tested simplicialbot
           vertices: p709(v475) p562(v474) p761(v229)
           between f4785 and f7701
     - r20848 tested simplicialtop
           vertices: p32(v730) p562(v474) p761(v229)
           between f12563 and f4785
     - r22187 tested simplicialbot
           vertices: p734(v341) p20(v142) p435(v22)
           between f4785 and f5258
     - r22790 tested
           vertices: p676(v833) p495(v761) p523(v603)
           between f18470 and f4785
     - r22791 tested simplicialbot
           vertices: p205(v837) p495(v761) p523(v603)
           between f4785 and f18470
     - r22354 tested simplicialbot
           vertices: p618(v143) p944(v78) p435(v22)
           between f4785 and f1964
     - r22351 tested simplicialtop
           vertices: p618(v143) p20(v142) p435(v22)
           between f1965 and f4785
     - r22691 tested simplicialbot
           vertices: p63(v351) p618(v143) p20(v142)
           between f4785 and f5400
     - r18672 tested simplicialbot
           vertices: p887(v865) p583(v754) p764(v235)
           between f4785 and f16162
     - r21682 tested simplicialbot
           vertices: p683(v626) p352(v625) p988(v491)
           between f4785 and f10664
     - r21843 tested simplicialtop
           vertices: p859(v867) p583(v754) p290(v622)
           between f16183 and f4785
     - r23546 tested simplicialtop
           vertices: p830(v916) p783(v838) p484(v734)
           between f18498 and f4785
     - r18675 tested simplicialtop
           vertices: p859(v867) p887(v865) p583(v754)
           between f16184 and f4785
     - r23523 tested simplicialtop
           vertices: p996(v910) p976(v727) p196(v596)
           between f18437 and f4785
     - r21710 tested simplicialtop
           vertices: p843(v490) p586(v352) p764(v235)
           between f7930 and f4785
     - r22572 tested simplicialbot
           vertices: p495(v761) p484(v734) p307(v604)
           between f4785 and f18479
     - r22220 tested simplicialbot
           vertices: p232(v757) p843(v490) p586(v352)
           between f4785 and f12987
     - r22666 tested simplicialbot
           vertices: p963(v511) p745(v247) p394(v24)
           between f4785 and f8466
     - r22607 tested simplicialtop
           vertices: p588(v850) p843(v490) p5(v231)
           between f16010 and f4785
     - r22605 nonconvex simplicialtop
           vertices: p588(v850) p232(v757) p843(v490)
           between f18612 and f4785
     - r22606 nonconvex
           vertices: p588(v850) p232(v757) p683(v626)
           between f4785 and f18612
     - r23591 tested simplicialbot
           vertices: p177(v919) p37(v633) p240(v343)
           between f4785 and f18528
     - r23019 tested
           vertices: p165(v713) p83(v584) p580(v462)
           between f4785 and f18395
     - r23597 tested simplicialtop
           vertices: p987(v920) p387(v846) p988(v491)
           between f18540 and f4785
     - r21060 tested simplicialbot
           vertices: p417(v741) p93(v739) p5(v231)
           between f4785 and f16002
     - r20724 tested simplicialbot
           vertices: p444(v848) p495(v761) p307(v604)
           between f4785 and f15340
     - r21058 tested simplicialtop
           vertices: p444(v848) p417(v741) p93(v739)
           between f15334 and f4785
     - r23554 tested simplicialbot
           vertices: p27(v917) p361(v839) p5(v231)
           between f4785 and f18503
     - r20728 tested simplicialtop
           vertices: p444(v848) p93(v739) p307(v604)
           between f15339 and f4785
     - r21778 tested
           vertices: p495(v761) p37(v633) p256(v476)
           between f4785 and f18445
     - r21782 tested
           vertices: p444(v848) p495(v761) p37(v633)
           between f18445 and f4785
     - r22197 tested simplicialbot
           vertices: p676(v833) p495(v761) p256(v476)
           between f4785 and f18445
     - r22583 tested
           vertices: p676(v833) p841(v732) p256(v476)
           between f18445 and f4785
     - r22419 tested simplicialbot
           vertices: p361(v839) p843(v490) p5(v231)
           between f4785 and f14894
     - r22274 tested simplicialtop
           vertices: p290(v622) p766(v621) p940(v487)
           between f10612 and f4785
     - r22608 tested simplicialbot
           vertices: p588(v850) p417(v741) p5(v231)
           between f4785 and f16013
     - r23598 tested simplicialbot
           vertices: p987(v920) p588(v850) p683(v626)
           between f4785 and f18544
     - r21049 tested simplicialbot
           vertices: p583(v754) p290(v622) p618(v143)
           between f4785 and f12936
     - r21514 tested simplicialtop
           vertices: p766(v621) p944(v78) p784(v7)
           between f10596 and f4785
     - r22563 tested simplicialtop
           vertices: p173(v772) p953(v648) p266(v369)
           between f13767 and f4785
     - r21045 tested simplicialtop
           vertices: p290(v622) p618(v143) p944(v78)
           between f10604 and f4785
     - r21517 tested simplicialbot
           vertices: p290(v622) p766(v621) p944(v78)
           between f4785 and f10611
     - r22256 tested simplicialtop
           vertices: p178(v776) p745(v247) p394(v24)
           between f13810 and f4785
     - r20538 tested simplicialtop
           vertices: p637(v775) p699(v774) p928(v649)
           between f13794 and f4785
     - r21263 tested simplicialbot
           vertices: p637(v775) p352(v625) p792(v139)
           between f4785 and f18054
     - r20212 tested simplicialtop
           vertices: p178(v776) p637(v775) p928(v649)
           between f13805 and f4785
     - r14612 tested simplicialbot
           vertices: p324(v777) p232(v757) p117(v651)
           between f4785 and f13822
     - r20972 tested simplicialbot
           vertices: p637(v775) p699(v774) p988(v491)
           between f4785 and f13793
     - r21747 tested simplicialtop
           vertices: p98(v514) p792(v139) p394(v24)
           between f8760 and f4785
     - r21413 tested simplicialtop
           vertices: p637(v775) p352(v625) p988(v491)
           between f13791 and f4785
     - r16333 tested simplicialbot
           vertices: p699(v774) p549(v742) p701(v740)
           between f4785 and f13788
     - r18161 tested simplicialtop
           vertices: p699(v774) p549(v742) p89(v344)
           between f13788 and f4785
     - r20770 tested simplicialtop
           vertices: p117(v651) p535(v360) p19(v43)
           between f11144 and f4785
     - r20109 tested simplicialbot
           vertices: p117(v651) p493(v489) p19(v43)
           between f4785 and f11146
     - r20767 tested simplicialbot
           vertices: p324(v777) p117(v651) p535(v360)
           between f4785 and f13816
     - r20215 tested simplicialbot
           vertices: p178(v776) p637(v775) p792(v139)
           between f4785 and f18059
     - r20872 tested simplicialtop
           vertices: p324(v777) p98(v514) p535(v360)
           between f13815 and f4785
     - r14611 tested simplicialtop
           vertices: p232(v757) p117(v651) p586(v352)
           between f12992 and f4785
     - r22201 tested simplicialbot
           vertices: p261(v370) p535(v360) p218(v241)
           between f4785 and f5865
     - r21867 tested simplicialtop
           vertices: p953(v648) p858(v513) p266(v369)
           between f11095 and f4785
     - r21679 tested simplicialtop
           vertices: p324(v777) p352(v625) p792(v139)
           between f18056 and f4785
     - r21678 tested simplicialbot
           vertices: p324(v777) p98(v514) p792(v139)
           between f4785 and f13819
     - r22667 tested simplicialtop
           vertices: p583(v754) p63(v351) p618(v143)
           between f12935 and f4785
     - r21512 tested simplicialtop
           vertices: p63(v351) p764(v235) p19(v43)
           between f5401 and f4785
     - r20731 tested simplicialbot
           vertices: p493(v489) p586(v352) p764(v235)
           between f4785 and f7913
     - r20734 tested simplicialbot
           vertices: p493(v489) p764(v235) p19(v43)
           between f4785 and f7912
     - r20105 tested simplicialtop
           vertices: p117(v651) p493(v489) p586(v352)
           between f11151 and f4785
     - r21881 tested simplicialbot
           vertices: p583(v754) p63(v351) p764(v235)
           between f4785 and f12938
     - r22259 tested simplicialbot
           vertices: p178(v776) p792(v139) p394(v24)
           between f4785 and f13812
     - r21871 tested simplicialbot
           vertices: p858(v513) p266(v369) p349(v45)
           between f4785 and f8744
     - r14610 tested simplicialtop
           vertices: p232(v757) p683(v626) p352(v625)
           between f12990 and f4785
     - r14608 tested simplicialtop
           vertices: p324(v777) p232(v757) p352(v625)
           between f13821 and f4785
     - r20764 tested simplicialbot
           vertices: p98(v514) p261(v370) p394(v24)
           between f4785 and f8761
     - r20761 tested simplicialbot
           vertices: p261(v370) p320(v367) p394(v24)
           between f4785 and f5844
     - r22554 tested simplicialbot
           vertices: p173(v772) p953(v648) p963(v511)
           between f4785 and f18048
     - r21365 tested
           vertices: p56(v771) p953(v648) p57(v248)
           between f4785 and f18048
     - r21369 tested
           vertices: p56(v771) p953(v648) p963(v511)
           between f18048 and f4785
     - r23511 tested simplicialtop
           vertices: p934(v909) p68(v830) p834(v88)
           between f18420 and f4785
     - r22875 tested simplicialbot
           vertices: p481(v835) p463(v733) p163(v144)
           between f4785 and f14837
     - r20325 tested simplicialbot
           vertices: p173(v772) p963(v511) p320(v367)
           between f4785 and f13765
     - r20321 tested simplicialtop
           vertices: p963(v511) p320(v367) p394(v24)
           between f8467 and f4785
     - r22204 tested simplicialtop
           vertices: p98(v514) p261(v370) p535(v360)
           between f8762 and f4785
     - r18676 tested simplicialtop
           vertices: p887(v865) p843(v490) p764(v235)
           between f16161 and f4785
     - r22749 tested simplicialtop
           vertices: p887(v865) p361(v839) p843(v490)
           between f16164 and f4785
     - r22752 tested simplicialbot
           vertices: p859(v867) p887(v865) p484(v734)
           between f4785 and f16186
     - r22751 tested simplicialbot
           vertices: p887(v865) p361(v839) p484(v734)
           between f4785 and f16166
     - r23497 tested simplicialbot
           vertices: p432(v908) p665(v715) p249(v586)
           between f4785 and f18417
     - r22794 tested simplicialtop
           vertices: p205(v837) p473(v836) p523(v603)
           between f14872 and f4785
     - r22873 tested simplicialtop
           vertices: p481(v835) p200(v699) p163(v144)
           between f14836 and f4785
     - r22808 tested simplicialtop
           vertices: p473(v836) p463(v733) p523(v603)
           between f14854 and f4785
     - r23020 tested
           vertices: p165(v713) p852(v711) p83(v584)
           between f4785 and f18391
     - r22813 tested simplicialtop
           vertices: p992(v834) p676(v833) p523(v603)
           between f14834 and f4785
     - r22836 tested simplicialtop
           vertices: p992(v834) p463(v733) p163(v144)
           between f14827 and f4785
     - r22812 tested simplicialbot
           vertices: p992(v834) p463(v733) p523(v603)
           between f4785 and f14833
     - r22876 tested simplicialtop
           vertices: p473(v836) p481(v835) p463(v733)
           between f18467 and f4785
     - r23057 tested simplicialtop
           vertices: p228(v792) p644(v627) p227(v493)
           between f14083 and f4785
     - r21693 tested simplicialbot
           vertices: p906(v704) p14(v449) p788(v385)
           between f4785 and f18195
     - r22530 tested simplicialtop
           vertices: p344(v665) p788(v385) p811(v46)
           between f11492 and f4785
     - r22440 tested simplicialbot
           vertices: p878(v705) p788(v385) p811(v46)
           between f4785 and f12164
     - r23205 tested simplicialtop
           vertices: p62(v886) p251(v785) p769(v661)
           between f18145 and f4785
     - r22072 tested simplicialbot
           vertices: p344(v665) p961(v529) p811(v46)
           between f4785 and f11493
     - r22885 tested simplicialbot
           vertices: p366(v872) p605(v480) p392(v237)
           between f4785 and f16798
     - r22061 tested
           vertices: p732(v790) p344(v665) p961(v529)
           between f18189 and f4785
     - r22532 tested simplicialbot
           vertices: p732(v790) p344(v665) p788(v385)
           between f4785 and f18189
     - r22521 tested simplicialtop
           vertices: p732(v790) p439(v574) p788(v385)
           between f18191 and f4785
     - r22085 tested simplicialbot
           vertices: p878(v705) p906(v704) p788(v385)
           between f4785 and f12167
     - r21696 tested simplicialtop
           vertices: p439(v574) p14(v449) p788(v385)
           between f18193 and f4785
     - r22219 tested simplicialtop
           vertices: p798(v170) p638(v167) p113(v97)
           between f2385 and f4785
     - r21864 tested simplicialtop
           vertices: p265(v398) p918(v274) p192(v173)
           between f6355 and f4785
     - r22216 tested simplicialtop
           vertices: p353(v269) p798(v170) p113(v97)
           between f4191 and f4785
     - r21799 tested simplicialbot
           vertices: p747(v863) p246(v862) p612(v481)
           between f4785 and f16148
     - r22360 tested simplicialtop
           vertices: p265(v398) p353(v269) p113(v97)
           between f6324 and f4785
     - r20697 tested simplicialtop
           vertices: p346(v271) p874(v96) p273(v12)
           between f4211 and f4785
     - r22558 tested simplicialbot
           vertices: p302(v400) p346(v271) p312(v54)
           between f4785 and f6377
     - r21100 tested simplicialbot
           vertices: p797(v168) p321(v95) p289(v31)
           between f4785 and f2360
     - r21097 tested simplicialbot
           vertices: p971(v280) p797(v168) p289(v31)
           between f4785 and f4350
     - r20693 tested simplicialbot
           vertices: p346(v271) p640(v172) p273(v12)
           between f4785 and f4210
     - r22556 tested simplicialtop
           vertices: p302(v400) p638(v167) p312(v54)
           between f6376 and f4785
     - r22869 tested simplicialbot
           vertices: p635(v389) p807(v264) p94(v166)
           between f4785 and f6186
     - r22339 tested simplicialbot
           vertices: p346(v271) p874(v96) p312(v54)
           between f4785 and f4212
     - r21622 tested simplicialbot
           vertices: p638(v167) p312(v54) p289(v31)
           between f4785 and f2346
     - r21619 tested simplicialtop
           vertices: p874(v96) p312(v54) p289(v31)
           between f1209 and f4785
     - r21560 tested simplicialtop
           vertices: p638(v167) p321(v95) p289(v31)
           between f2347 and f4785
     - r23009 tested simplicialtop
           vertices: p199(v464) p413(v224) p521(v74)
           between f7493 and f4785
     - r22049 tested simplicialbot
           vertices: p882(v391) p943(v218) p627(v41)
           between f4785 and f6203
     - r22831 tested simplicialbot
           vertices: p951(v301) p821(v114) p689(v63)
           between f4785 and f4651
     - r21920 tested simplicialtop
           vertices: p199(v464) p882(v391) p943(v218)
           between f7492 and f4785
     - r20144 tested simplicialtop
           vertices: p162(v825) p199(v464) p943(v218)
           between f14676 and f4785
     - r22835 tested simplicialbot
           vertices: p162(v825) p354(v714) p943(v218)
           between f4785 and f14677
     - r22512 tested simplicialtop
           vertices: p755(v799) p879(v677) p298(v547)
           between f14369 and f4785
     - r20070 tested simplicialtop
           vertices: p755(v799) p602(v678) p140(v544)
           between f14364 and f4785
     - r21218 tested simplicialtop
           vertices: p188(v413) p782(v179) p966(v55)
           between f6630 and f4785
     - r22514 tested simplicialbot
           vertices: p879(v677) p298(v547) p80(v281)
           between f4785 and f11624
     - r21014 tested simplicialtop
           vertices: p298(v547) p893(v414) p639(v183)
           between f9343 and f4785
     - r9119 tested simplicialbot
           vertices: p802(v531) p737(v388) p902(v381)
           between f4785 and f9059
     - r21214 tested simplicialbot
           vertices: p188(v413) p78(v268) p966(v55)
           between f4785 and f6638
     - r22714 tested simplicialtop
           vertices: p500(v408) p632(v276) p812(v169)
           between f6486 and f4785
     - r21010 tested simplicialtop
           vertices: p298(v547) p639(v183) p782(v179)
           between f9342 and f4785
     - r22161 tested simplicialbot
           vertices: p298(v547) p893(v414) p80(v281)
           between f4785 and f9344
     - r21948 tested simplicialbot
           vertices: p639(v183) p782(v179) p849(v99)
           between f4785 and f2579
     - r21986 tested simplicialtop
           vertices: p782(v179) p849(v99) p966(v55)
           between f2500 and f4785
     - r20074 tested simplicialbot
           vertices: p755(v799) p602(v678) p188(v413)
           between f4785 and f14363
     - r21627 tested simplicialbot
           vertices: p298(v547) p188(v413) p782(v179)
           between f4785 and f9351
     - r22712 tested simplicialbot
           vertices: p188(v413) p500(v408) p78(v268)
           between f4785 and f6639
     - r21624 tested simplicialtop
           vertices: p755(v799) p298(v547) p188(v413)
           between f14366 and f4785
     - r20921 tested simplicialtop
           vertices: p602(v678) p188(v413) p812(v169)
           between f11630 and f4785
     - r22711 tested simplicialbot
           vertices: p500(v408) p632(v276) p78(v268)
           between f4785 and f6487
     - r22715 tested simplicialtop
           vertices: p188(v413) p500(v408) p812(v169)
           between f6628 and f4785
     - r22270 tested simplicialtop
           vertices: p268(v575) p624(v517) p922(v259)
           between f9850 and f4785
     - r22271 tested simplicialtop
           vertices: p141(v789) p770(v664) p922(v259)
           between f14026 and f4785
     - r21548 tested simplicialbot
           vertices: p770(v664) p331(v576) p358(v528)
           between f4785 and f11486
     - r22267 tested simplicialbot
           vertices: p422(v782) p268(v575) p624(v517)
           between f4785 and f13880
     - r21286 tested simplicialbot
           vertices: p254(v706) p331(v576) p922(v259)
           between f4785 and f12182
     - r19912 tested simplicialbot
           vertices: p141(v789) p770(v664) p226(v365)
           between f4785 and f14029
     - r23163 tested simplicialbot
           vertices: p146(v883) p595(v781) p703(v317)
           between f4785 and f18098
     - r20192 tested simplicialbot
           vertices: p339(v816) p439(v574) p14(v449)
           between f4785 and f14562
     - r22789 tested simplicialtop
           vertices: p771(v213) p245(v69) p435(v22)
           between f3012 and f4785
     - r23417 tested simplicialbot
           vertices: p116(v899) p364(v808) p711(v688)
           between f4785 and f18329
     - r21311 tested simplicialtop
           vertices: p263(v814) p957(v703) p629(v123)
           between f14524 and f4785
     - r22492 tested simplicialtop
           vertices: p339(v816) p293(v815) p14(v449)
           between f14563 and f4785
     - r21308 tested simplicialtop
           vertices: p373(v819) p263(v814) p629(v123)
           between f14601 and f4785
     - r23439 tested simplicialtop
           vertices: p465(v902) p595(v781) p703(v317)
           between f18355 and f4785
     - r21194 tested simplicialtop
           vertices: p132(v508) p594(v245) p811(v46)
           between f8434 and f4785
     - r23243 tested simplicialbot
           vertices: p6(v888) p671(v780) p737(v388)
           between f4785 and f18177
     - r14689 tested simplicialtop
           vertices: p926(v783) p422(v782) p560(v655)
           between f13928 and f4785
     - r21813 tested simplicialbot
           vertices: p293(v815) p254(v706) p922(v259)
           between f4785 and f14546
     - r20132 tested simplicialbot
           vertices: p254(v706) p906(v704) p331(v576)
           between f4785 and f12183
     - r21039 tested simplicialtop
           vertices: p293(v815) p906(v704) p14(v449)
           between f14543 and f4785
     - r21809 tested simplicialtop
           vertices: p293(v815) p268(v575) p922(v259)
           between f14545 and f4785
     - r21289 tested simplicialtop
           vertices: p770(v664) p331(v576) p922(v259)
           between f11485 and f4785
     - r19892 tested simplicialbot
           vertices: p770(v664) p132(v508) p226(v365)
           between f4785 and f11487
     - r21551 tested simplicialbot
           vertices: p770(v664) p358(v528) p132(v508)
           between f4785 and f11488
     - r20136 tested simplicialtop
           vertices: p878(v705) p906(v704) p331(v576)
           between f12168 and f4785
     - r21905 tested simplicialtop
           vertices: p878(v705) p331(v576) p358(v528)
           between f12163 and f4785
     - r21901 tested simplicialtop
           vertices: p878(v705) p358(v528) p811(v46)
           between f12165 and f4785
     - r22621 tested simplicialtop
           vertices: p358(v528) p132(v508) p811(v46)
           between f9018 and f4785
     - r23447 tested simplicialtop
           vertices: p804(v903) p339(v816) p957(v703)
           between f18364 and f4785
     - r19983 tested simplicialtop
           vertices: p970(v645) p132(v508) p226(v365)
           between f11037 and f4785
     - r11953 tested simplicialtop
           vertices: p556(v697) p571(v441) p827(v205)
           between f12019 and f4785
     - r23251 tested simplicialbot
           vertices: p6(v888) p180(v509) p740(v162)
           between f4785 and f18182
     - r14620 tested simplicialtop
           vertices: p671(v780) p388(v530) p740(v162)
           between f13855 and f4785
     - r22942 tested simplicialbot
           vertices: p684(v469) p492(v335) p504(v225)
           between f4785 and f7602
     - r14826 tested simplicialbot
           vertices: p415(v646) p180(v509) p226(v365)
           between f4785 and f11052
     - r20190 tested simplicialbot
           vertices: p415(v646) p970(v645) p760(v90)
           between f4785 and f11055
     - r20690 tested simplicialtop
           vertices: p667(v353) p895(v150) p418(v14)
           between f5455 and f4785
     - r21043 tested simplicialtop
           vertices: p293(v815) p254(v706) p906(v704)
           between f14544 and f4785
     - r23253 tested simplicialtop
           vertices: p6(v888) p180(v509) p226(v365)
           between f18184 and f4785
     - r23247 tested simplicialtop
           vertices: p6(v888) p671(v780) p740(v162)
           between f18169 and f4785
     - r11951 tested simplicialtop
           vertices: p556(v697) p827(v205) p753(v16)
           between f12026 and f4785
     - r19980 tested simplicialtop
           vertices: p415(v646) p970(v645) p226(v365)
           between f11056 and f4785
     - r21192 tested simplicialbot
           vertices: p970(v645) p132(v508) p594(v245)
           between f4785 and f11033
     - r20186 tested simplicialtop
           vertices: p923(v712) p970(v645) p760(v90)
           between f12260 and f4785
     - r21876 tested simplicialbot
           vertices: p339(v816) p957(v703) p664(v573)
           between f4785 and f14566
     - r23254 tested simplicialbot
           vertices: p6(v888) p141(v789) p226(v365)
           between f4785 and f18185
     - r23028 tested simplicialbot
           vertices: p653(v784) p121(v308) p189(v116)
           between f4785 and f13935
     - r22658 tested simplicialbot
           vertices: p263(v814) p957(v703) p703(v317)
           between f4785 and f14525
     - r23440 tested simplicialbot
           vertices: p465(v902) p263(v814) p703(v317)
           between f4785 and f18356
     - r22703 tested simplicialtop
           vertices: p949(v820) p373(v819) p53(v708)
           between f18377 and f4785
     - r22701 tested simplicialbot
           vertices: p373(v819) p53(v708) p629(v123)
           between f4785 and f14600
     - r22702 tested simplicialtop
           vertices: p949(v820) p53(v708) p629(v123)
           between f14625 and f4785
     - r23276 tested simplicialtop
           vertices: p44(v891) p671(v780) p737(v388)
           between f18214 and f4785
     - r22731 tested simplicialbot
           vertices: p180(v509) p494(v386) p338(v260)
           between f4785 and f8448
     - r20196 tested simplicialtop
           vertices: p339(v816) p439(v574) p664(v573)
           between f14565 and f4785
     - r22732 tested simplicialtop
           vertices: p415(v646) p180(v509) p494(v386)
           between f11044 and f4785
     - r23031 tested simplicialtop
           vertices: p144(v252) p810(v159) p120(v87)
           between f3869 and f4785
     - r22880 tested simplicialtop
           vertices: p392(v237) p480(v145) p904(v25)
           between f3512 and f4785
     - r23032 tested simplicialbot
           vertices: p253(v382) p810(v159) p120(v87)
           between f4785 and f6018
     - r15518 tested simplicialtop
           vertices: p661(v812) p426(v758) p931(v494)
           between f14501 and f4785
     - r21506 tested simplicialbot
           vertices: p918(v274) p638(v167) p113(v97)
           between f4785 and f4249
     - r21243 tested simplicialbot
           vertices: p661(v812) p426(v758) p395(v701)
           between f4785 and f14494
     - r21245 tested simplicialtop
           vertices: p426(v758) p395(v701) p659(v628)
           between f12997 and f4785
     - r22797 tested simplicialbot
           vertices: p527(v492) p667(v353) p883(v236)
           between f4785 and f7981
     - r20484 tested simplicialbot
           vertices: p184(v602) p480(v145) p418(v14)
           between f4785 and f10197
     - r23064 tested simplicialtop
           vertices: p817(v791) p443(v666) p227(v493)
           between f18201 and f4785
     - r14852 tested
           vertices: p817(v791) p443(v666) p304(v206)
           between f4785 and f18201
     - r14854 tested simplicialtop
           vertices: p817(v791) p395(v701) p304(v206)
           between f14071 and f4785
     - r22582 tested simplicialtop
           vertices: p527(v492) p667(v353) p418(v14)
           between f7980 and f4785
     - r20890 tested simplicialtop
           vertices: p184(v602) p527(v492) p418(v14)
           between f10199 and f4785
     - r22882 tested simplicialbot
           vertices: p108(v356) p392(v237) p288(v79)
           between f4785 and f5532
     - r20886 tested simplicialbot
           vertices: p362(v731) p184(v602) p527(v492)
           between f4785 and f12567
     - r20480 tested simplicialbot
           vertices: p480(v145) p904(v25) p418(v14)
           between f4785 and f1990
     - r20102 tested simplicialtop
           vertices: p395(v701) p664(v573) p304(v206)
           between f12102 and f4785
     - r20098 tested simplicialbot
           vertices: p439(v574) p664(v573) p304(v206)
           between f4785 and f9844
     - r23175 tested simplicialtop
           vertices: p7(v884) p137(v450) p106(v209)
           between f18118 and f4785
     - r22547 tested simplicialbot
           vertices: p732(v790) p439(v574) p304(v206)
           between f4785 and f14049
     - r21005 tested simplicialbot
           vertices: p644(v627) p667(v353) p895(v150)
           between f4785 and f10695
     - r22078 tested simplicialbot
           vertices: p672(v611) p438(v347) p904(v25)
           between f4785 and f10466
     - r20687 tested simplicialtop
           vertices: p895(v150) p904(v25) p418(v14)
           between f2076 and f4785
     - r21001 tested simplicialbot
           vertices: p644(v627) p227(v493) p667(v353)
           between f4785 and f18205
     - r20661 tested simplicialtop
           vertices: p732(v790) p443(v666) p304(v206)
           between f14047 and f4785
     - r23055 tested simplicialtop
           vertices: p461(v778) p780(v652) p723(v516)
           between f13828 and f4785
     - r23590 tested simplicialbot
           vertices: p177(v919) p772(v845) p108(v356)
           between f4785 and f18521
     - r14859 tested simplicialbot
           vertices: p228(v792) p732(v790) p443(v666)
           between f4785 and f14082
     - r23062 tested simplicialtop
           vertices: p817(v791) p227(v493) p667(v353)
           between f18203 and f4785
     - r14688 tested simplicialbot
           vertices: p926(v783) p422(v782) p624(v517)
           between f4785 and f13927
     - r23021 tested
           vertices: p200(v699) p883(v236) p163(v144)
           between f14502 and f4785
     - r15509 tested
           vertices: p661(v812) p931(v494) p883(v236)
           between f14502 and f4785
     - r21741 tested simplicialbot
           vertices: p661(v812) p200(v699) p883(v236)
           between f4785 and f14502
     - r21502 tested simplicialbot
           vertices: p265(v398) p918(v274) p113(v97)
           between f4785 and f6354
     - r21965 tested simplicialbot
           vertices: p992(v834) p527(v492) p883(v236)
           between f4785 and f14821
     - r23564 tested simplicialbot
           vertices: p172(v918) p51(v841) p972(v736)
           between f4785 and f18515
     - r22081 tested simplicialbot
           vertices: p992(v834) p841(v732) p362(v731)
           between f4785 and f14820
     - r22870 tested simplicialtop
           vertices: p790(v395) p807(v264) p94(v166)
           between f6252 and f4785
     - r22467 tested simplicialtop
           vertices: p952(v760) p37(v633) p256(v476)
           between f13029 and f4785
     - r21650 tested simplicialbot
           vertices: p992(v834) p676(v833) p841(v732)
           between f4785 and f14826
     - r22475 tested simplicialtop
           vertices: p841(v732) p362(v731) p256(v476)
           between f12595 and f4785
     - r21968 tested simplicialbot
           vertices: p992(v834) p362(v731) p527(v492)
           between f4785 and f14822
     - r23524 tested simplicialtop
           vertices: p996(v910) p900(v831) p976(v727)
           between f18438 and f4785
     - r23294 tested simplicialbot
           vertices: p23(v893) p385(v796) p815(v458)
           between f4785 and f18225
     - r21139 tested simplicialtop
           vertices: p952(v760) p362(v731) p184(v602)
           between f13034 and f4785
     - r20563 tested simplicialtop
           vertices: p982(v632) p184(v602) p480(v145)
           between f10803 and f4785
     - r20566 tested simplicialbot
           vertices: p952(v760) p982(v632) p184(v602)
           between f4785 and f13031
     - r21733 tested simplicialbot
           vertices: p952(v760) p362(v731) p256(v476)
           between f4785 and f13033
     - r22427 tested simplicialtop
           vertices: p982(v632) p480(v145) p288(v79)
           between f10802 and f4785
     - r23570 tested
           vertices: p177(v919) p982(v632) p288(v79)
           between f18537 and f4785
     - r23573 tested simplicialbot
           vertices: p177(v919) p108(v356) p288(v79)
           between f4785 and f18537
     - r14861 tested simplicialtop
           vertices: p228(v792) p732(v790) p961(v529)
           between f14081 and f4785
     - r15517 tested simplicialtop
           vertices: p426(v758) p659(v628) p931(v494)
           between f12995 and f4785
     - r22798 tested simplicialtop
           vertices: p931(v494) p667(v353) p883(v236)
           between f8024 and f4785
     - r23058 tested simplicialbot
           vertices: p228(v792) p443(v666) p227(v493)
           between f4785 and f14084
     - r21821 tested simplicialbot
           vertices: p658(v361) p299(v289) p869(v60)
           between f4785 and f5644
     - r21473 tested simplicialbot
           vertices: p965(v502) p869(v60) p809(v20)
           between f4785 and f8180
     - r22016 tested simplicialtop
           vertices: p956(v680) p441(v182) p90(v105)
           between f11651 and f4785
     - r22545 tested simplicialtop
           vertices: p286(v638) p965(v502) p658(v361)
           between f10938 and f4785
     - r7945 tested simplicialtop
           vertices: p323(v504) p658(v361) p299(v289)
           between f8201 and f4785
     - r10924 tested
           vertices: p208(v639) p323(v504) p658(v361)
           between f4785 and f8201
     - r15683 tested simplicialtop
           vertices: p68(v830) p154(v723) p73(v564)
           between f14735 and f4785
     - r21519 tested simplicialtop
           vertices: p286(v638) p219(v506) p707(v242)
           between f10925 and f4785
     - r22100 tested simplicialbot
           vertices: p965(v502) p658(v361) p869(v60)
           between f4785 and f8176
     - r21477 tested simplicialtop
           vertices: p965(v502) p334(v362) p809(v20)
           between f8181 and f4785
     - r22032 tested simplicialtop
           vertices: p786(v548) p869(v60) p809(v20)
           between f9359 and f4785
     - r6413 tested simplicialbot
           vertices: p201(v411) p370(v410) p42(v195)
           between f4785 and f6602
     - r21958 tested simplicialbot
           vertices: p219(v506) p965(v502) p334(v362)
           between f4785 and f8400
     - r21526 tested simplicialtop
           vertices: p219(v506) p965(v502) p707(v242)
           between f8399 and f4785
     - r21523 tested simplicialbot
           vertices: p286(v638) p965(v502) p707(v242)
           between f4785 and f10928
     - r21203 tested simplicialtop
           vertices: p956(v680) p824(v546) p136(v36)
           between f11653 and f4785
     - r22448 tested simplicialtop
           vertices: p265(v398) p794(v171) p244(v52)
           between f6322 and f4785
     - r21826 tested simplicialbot
           vertices: p794(v171) p376(v163) p399(v91)
           between f4785 and f2389
     - r22302 tested simplicialbot
           vertices: p308(v539) p115(v402) p886(v270)
           between f4785 and f9156
     - r22519 tested simplicialtop
           vertices: p524(v674) p308(v539) p497(v233)
           between f11579 and f4785
     - r20998 tested simplicialtop
           vertices: p794(v171) p376(v163) p244(v52)
           between f2388 and f4785
     - r21128 tested simplicialtop
           vertices: p276(v92) p244(v52) p584(v30)
           between f1132 and f4785
     - r20994 tested simplicialbot
           vertices: p376(v163) p244(v52) p584(v30)
           between f4785 and f2308
     - r21554 tested simplicialbot
           vertices: p607(v855) p682(v746) p12(v399)
           between f4785 and f16054
     - r22247 tested simplicialbot
           vertices: p382(v459) p794(v171) p399(v91)
           between f4785 and f7431
     - r20974 tested simplicialbot
           vertices: p183(v673) p265(v398) p794(v171)
           between f4785 and f11567
     - r22320 tested simplicialbot
           vertices: p524(v674) p12(v399) p497(v233)
           between f4785 and f11578
     - r20978 tested simplicialtop
           vertices: p183(v673) p382(v459) p794(v171)
           between f11568 and f4785
     - r22024 tested simplicialbot
           vertices: p607(v855) p183(v673) p382(v459)
           between f4785 and f16056
     - r20879 tested simplicialtop
           vertices: p607(v855) p682(v746) p382(v459)
           between f16057 and f4785
     - r21598 tested simplicialtop
           vertices: p607(v855) p183(v673) p534(v537)
           between f16055 and f4785
     - r21601 tested simplicialbot
           vertices: p183(v673) p534(v537) p886(v270)
           between f4785 and f11576
     - r21557 tested simplicialtop
           vertices: p607(v855) p534(v537) p12(v399)
           between f16053 and f4785
     - r21786 tested simplicialtop
           vertices: p524(v674) p12(v399) p886(v270)
           between f11581 and f4785
     - r21784 tested simplicialbot
           vertices: p534(v537) p12(v399) p886(v270)
           between f4785 and f9120
     - r22299 tested simplicialbot
           vertices: p524(v674) p308(v539) p886(v270)
           between f4785 and f11582
     - r22369 tested simplicialbot
           vertices: p526(v769) p243(v642) p330(v277)
           between f4785 and f13728
     - r21931 tested simplicialbot
           vertices: p183(v673) p886(v270) p192(v173)
           between f4785 and f11575
     - r21929 tested simplicialtop
           vertices: p183(v673) p265(v398) p192(v173)
           between f11571 and f4785
     - r20883 tested simplicialbot
           vertices: p682(v746) p382(v459) p677(v327)
           between f4785 and f12844
     - r20796 tested simplicialtop
           vertices: p31(v562) p696(v428) p768(v185)
           between f9624 and f4785
     - r22409 tested simplicialbot
           vertices: p855(v683) p696(v428) p768(v185)
           between f4785 and f18309
     - r21495 tested simplicialbot
           vertices: p696(v428) p997(v290) p169(v33)
           between f4785 and f6916
     - r22707 tested simplicialbot
           vertices: p248(v809) p990(v549) p768(v185)
           between f4785 and f14468
     - r21401 tested simplicialtop
           vertices: p401(v405) p640(v172) p273(v12)
           between f6460 and f4785
     - r22412 tested simplicialtop
           vertices: p855(v683) p696(v428) p997(v290)
           between f11706 and f4785
     - r22436 tested simplicialbot
           vertices: p107(v694) p853(v563) p60(v417)
           between f4785 and f11946
     - r22659 tested simplicialbot
           vertices: p601(v801) p855(v683) p768(v185)
           between f4785 and f18307
     - r21891 tested simplicialtop
           vertices: p466(v695) p107(v694) p853(v563)
           between f11960 and f4785
     - r22681 tested simplicialbot
           vertices: p786(v548) p60(v417) p809(v20)
           between f4785 and f9356
     - r22527 tested simplicialbot
           vertices: p181(v404) p57(v248) p800(v174)
           between f4785 and f6446
     - r21404 tested simplicialbot
           vertices: p401(v405) p181(v404) p273(v12)
           between f4785 and f6463
     - r22705 tested simplicialbot
           vertices: p248(v809) p107(v694) p60(v417)
           between f4785 and f14470
     - r20612 tested simplicialbot
           vertices: p654(v798) p375(v409) p330(v277)
           between f4785 and f18278
     - r20608 tested
           vertices: p654(v798) p619(v676) p375(v409)
           between f4785 and f18278
     - r22592 tested simplicialtop
           vertices: p526(v769) p375(v409) p330(v277)
           between f13727 and f4785
     - r22611 tested simplicialbot
           vertices: p879(v677) p335(v545) p2(v57)
           between f4785 and f11622
     - r22233 tested simplicialtop
           vertices: p317(v543) p639(v183) p501(v10)
           between f9198 and f4785
     - r23295 tested simplicialtop
           vertices: p23(v893) p385(v796) p774(v672)
           between f18226 and f4785
     - r22334 tested simplicialtop
           vertices: p654(v798) p317(v543) p381(v148)
           between f14349 and f4785
     - r22337 tested simplicialtop
           vertices: p654(v798) p619(v676) p317(v543)
           between f14348 and f4785
     - r22238 tested simplicialbot
           vertices: p953(v648) p858(v513) p57(v248)
           between f4785 and f11094
     - r21719 tested simplicialtop
           vertices: p756(v326) p590(v284) p35(v181)
           between f4996 and f4785
     - r6509 tested simplicialbot
           vertices: p563(v282) p727(v180) p863(v32)
           between f4785 and f4368
     - r6511 tested simplicialbot
           vertices: p64(v415) p563(v282) p863(v32)
           between f4785 and f6682
     - r22208 tested simplicialbot
           vertices: p756(v326) p727(v180) p29(v104)
           between f4785 and f5000
     - r6411 tested simplicialbot
           vertices: p370(v410) p590(v284) p42(v195)
           between f4785 and f6575
     - r22830 tested simplicialtop
           vertices: p951(v301) p42(v195) p689(v63)
           between f4649 and f4785
     - r20181 tested simplicialbot
           vertices: p370(v410) p756(v326) p590(v284)
           between f4785 and f6576
     - r22396 tested simplicialtop
           vertices: p824(v546) p590(v284) p136(v36)
           between f9305 and f4785
     - r22065 tested simplicialbot
           vertices: p893(v414) p639(v183) p90(v105)
           between f4785 and f6670
     - r22027 tested simplicialbot
           vertices: p893(v414) p590(v284) p35(v181)
           between f4785 and f6668
     - r20615 tested simplicialtop
           vertices: p879(v677) p335(v545) p80(v281)
           between f11623 and f4785
     - r11576 tested
           vertices: p479(v681) p853(v563) p60(v417)
           between f9645 and f4785
     - r11575 tested
           vertices: p479(v681) p853(v563) p809(v20)
           between f4785 and f9645
     - r11574 tested
           vertices: p479(v681) p60(v417) p809(v20)
           between f9645 and f4785
     - r22394 tested simplicialtop
           vertices: p590(v284) p621(v113) p136(v36)
           between f4392 and f4785
     - r11865 tested simplicialtop
           vertices: p678(v684) p990(v549) p768(v185)
           between f11738 and f4785
     - r15426 tested
           vertices: p601(v801) p678(v684) p768(v185)
           between f11738 and f4785
     - r11923 tested
           vertices: p824(v546) p590(v284) p689(v63)
           between f11991 and f4785
     - r4178 tested
           vertices: p590(v284) p821(v114) p689(v63)
           between f11991 and f4785
     - r11919 tested
           vertices: p466(v695) p824(v546) p689(v63)
           between f11991 and f4785
     - r9363 tested
           vertices: p824(v546) p821(v114) p778(v62)
           between f4785 and f11991
     - r9340 tested
           vertices: p824(v546) p590(v284) p821(v114)
           between f4785 and f11991
     - r9343 tested simplicialbot
           vertices: p824(v546) p778(v62) p809(v20)
           between f4785 and f11991
     - r11896 tested simplicialbot
           vertices: p466(v695) p824(v546) p809(v20)
           between f4785 and f11991
     - r11884 tested
           vertices: p466(v695) p853(v563) p809(v20)
           between f11991 and f4785
     - r23052 tested simplicialbot
           vertices: p711(v688) p955(v556) p946(v204)
           between f4785 and f11781
     - r20347 tested simplicialbot
           vertices: p441(v182) p778(v62) p136(v36)
           between f4785 and f2565
     - r22144 tested simplicialtop
           vertices: p479(v681) p990(v549) p299(v289)
           between f11663 and f4785
     - r22827 tested simplicialbot
           vertices: p951(v301) p590(v284) p621(v113)
           between f4785 and f4647
     - r22472 tested simplicialtop
           vertices: p824(v546) p893(v414) p590(v284)
           between f9306 and f4785
     - r20470 tested simplicialbot
           vertices: p956(v680) p824(v546) p893(v414)
           between f4785 and f11650
     - r20466 tested simplicialbot
           vertices: p956(v680) p893(v414) p90(v105)
           between f4785 and f11649
     - r22664 tested simplicialtop
           vertices: p813(v416) p639(v183) p90(v105)
           between f6706 and f4785
     - r20454 tested simplicialtop
           vertices: p13(v650) p858(v513) p57(v248)
           between f11136 and f4785
     - r22497 tested simplicialtop
           vertices: p334(v362) p778(v62) p809(v20)
           between f5679 and f4785
     - r22141 tested simplicialtop
           vertices: p479(v681) p299(v289) p869(v60)
           between f11662 and f4785
     - r22524 tested simplicialbot
           vertices: p479(v681) p786(v548) p869(v60)
           between f4785 and f11660
     - r20965 tested simplicialtop
           vertices: p334(v362) p372(v285) p778(v62)
           between f5686 and f4785
     - r20923 tested simplicialbot
           vertices: p821(v114) p621(v113) p136(v36)
           between f4785 and f1504
     - r21807 tested simplicialbot
           vertices: p514(v644) p219(v506) p381(v148)
           between f4785 and f11008
     - r20961 tested simplicialbot
           vertices: p334(v362) p372(v285) p381(v148)
           between f4785 and f5680
     - r22581 tested simplicialbot
           vertices: p654(v798) p514(v644) p381(v148)
           between f4785 and f14358
     - r21452 tested simplicialbot
           vertices: p219(v506) p334(v362) p381(v148)
           between f4785 and f8396
     - r23124 tested simplicialbot
           vertices: p948(v876) p674(v768) p259(v239)
           between f4785 and f18020
     - r22688 tested simplicialtop
           vertices: p181(v404) p57(v248) p59(v84)
           between f6453 and f4785
     - r21909 tested simplicialtop
           vertices: p372(v285) p381(v148) p501(v10)
           between f4418 and f4785
     - r21480 tested simplicialtop
           vertices: p13(v650) p800(v174) p763(v100)
           between f11130 and f4785
     - r22102 tested simplicialtop
           vertices: p372(v285) p441(v182) p778(v62)
           between f4413 and f4785
     - r20673 tested simplicialtop
           vertices: p377(v765) p514(v644) p219(v506)
           between f13155 and f4785
     - r20512 tested simplicialbot
           vertices: p619(v676) p639(v183) p849(v99)
           between f4785 and f11595
     - r20669 tested simplicialbot
           vertices: p377(v765) p514(v644) p159(v363)
           between f4785 and f13150
     - r20351 tested simplicialtop
           vertices: p821(v114) p778(v62) p136(v36)
           between f1501 and f4785
     - r20458 tested simplicialtop
           vertices: p13(v650) p57(v248) p800(v174)
           between f11135 and f4785
     - r22538 tested simplicialbot
           vertices: p64(v415) p370(v410) p744(v216)
           between f4785 and f6686
     - r22045 tested simplicialtop
           vertices: p756(v326) p35(v181) p29(v104)
           between f5009 and f4785
     - r20619 tested simplicialtop
           vertices: p335(v545) p893(v414) p80(v281)
           between f9276 and f4785
     - r22855 tested simplicialtop
           vertices: p370(v410) p756(v326) p863(v32)
           between f6583 and f4785
     - r21749 tested simplicialbot
           vertices: p35(v181) p29(v104) p2(v57)
           between f4785 and f2543
     - r22858 tested simplicialtop
           vertices: p626(v679) p335(v545) p2(v57)
           between f11643 and f4785
     - r22678 tested simplicialbot
           vertices: p722(v767) p910(v641) p349(v45)
           between f4785 and f13170
     - r22543 tested simplicialbot
           vertices: p64(v415) p744(v216) p310(v71)
           between f4785 and f6683
     - r21570 tested simplicialtop
           vertices: p678(v684) p323(v504) p299(v289)
           between f14393 and f4785
     - r21566 tested simplicialbot
           vertices: p678(v684) p990(v549) p299(v289)
           between f4785 and f18294
     - r23115 tested
           vertices: p948(v876) p514(v644) p406(v643)
           between f4785 and f18033
     - r20823 tested
           vertices: p654(v798) p514(v644) p406(v643)
           between f18033 and f4785
     - r21497 tested simplicialbot
           vertices: p700(v770) p406(v643) p330(v277)
           between f4785 and f13731
     - r20820 tested simplicialtop
           vertices: p654(v798) p406(v643) p330(v277)
           between f18280 and f4785
     - r22672 tested simplicialtop
           vertices: p813(v416) p372(v285) p501(v10)
           between f6701 and f4785
     - r22888 tested simplicialtop
           vertices: p258(v726) p196(v596) p600(v336)
           between f12493 and f4785
     - r20123 tested simplicialbot
           vertices: p140(v544) p971(v280) p289(v31)
           between f4785 and f9248
     - r22680 tested simplicialbot
           vertices: p479(v681) p990(v549) p60(v417)
           between f4785 and f11664
     - r20119 tested simplicialtop
           vertices: p140(v544) p874(v96) p289(v31)
           between f9268 and f4785
     - r21200 tested simplicialtop
           vertices: p140(v544) p971(v280) p428(v103)
           between f9249 and f4785
     - r22408 tested simplicialtop
           vertices: p971(v280) p845(v178) p428(v103)
           between f4338 and f4785
     - r22402 tested simplicialtop
           vertices: p879(v677) p140(v544) p428(v103)
           between f11617 and f4785
     - r22399 tested simplicialbot
           vertices: p755(v799) p879(v677) p140(v544)
           between f4785 and f14368
     - r21319 tested simplicialbot
           vertices: p13(v650) p858(v513) p349(v45)
           between f4785 and f11129
     - r21673 tested simplicialbot
           vertices: p879(v677) p897(v283) p428(v103)
           between f4785 and f11616
     - r21698 tested simplicialtop
           vertices: p897(v283) p563(v282) p727(v180)
           between f4383 and f4785
     - r20641 tested simplicialtop
           vertices: p897(v283) p727(v180) p29(v104)
           between f4381 and f4785
     - r20637 tested simplicialtop
           vertices: p897(v283) p29(v104) p2(v57)
           between f4380 and f4785
     - r21392 tested simplicialbot
           vertices: p563(v282) p845(v178) p428(v103)
           between f4785 and f4370
     - r21388 tested simplicialbot
           vertices: p897(v283) p563(v282) p428(v103)
           between f4785 and f4382
     - r21380 tested simplicialbot
           vertices: p587(v267) p874(v96) p273(v12)
           between f4785 and f4163
     - r21912 tested simplicialtop
           vertices: p879(v677) p897(v283) p2(v57)
           between f11618 and f4785
     - r22536 tested simplicialbot
           vertices: p602(v678) p140(v544) p874(v96)
           between f4785 and f11636
     - r22552 tested simplicialtop
           vertices: p64(v415) p563(v282) p845(v178)
           between f6684 and f4785
     - r21487 tested simplicialbot
           vertices: p247(v396) p632(v276) p812(v169)
           between f4785 and f6276
     - r22709 tested simplicialtop
           vertices: p248(v809) p31(v562) p768(v185)
           between f14464 and f4785
     - r21483 tested simplicialbot
           vertices: p76(v536) p247(v396) p812(v169)
           between f4785 and f9111
     - r22294 tested simplicialbot
           vertices: p613(v542) p401(v405) p640(v172)
           between f4785 and f9192
     - r21346 tested simplicialtop
           vertices: p602(v678) p76(v536) p587(v267)
           between f11634 and f4785
     - r22099 tested simplicialbot
           vertices: p602(v678) p76(v536) p812(v169)
           between f4785 and f11633
     - r21350 tested simplicialtop
           vertices: p602(v678) p587(v267) p874(v96)
           between f11635 and f4785
     - r21377 tested simplicialbot
           vertices: p247(v396) p587(v267) p273(v12)
           between f4785 and f6273
     - r22154 tested simplicialtop
           vertices: p76(v536) p247(v396) p587(v267)
           between f9112 and f4785
     - r20591 tested simplicialtop
           vertices: p247(v396) p632(v276) p800(v174)
           between f6274 and f4785
     - r21546 tested simplicialbot
           vertices: p632(v276) p800(v174) p763(v100)
           between f4785 and f4268
     - r22110 tested simplicialbot
           vertices: p181(v404) p800(v174) p273(v12)
           between f4785 and f6441
     - r20587 tested simplicialtop
           vertices: p247(v396) p800(v174) p273(v12)
           between f6272 and f4785
     - r22682 tested simplicialtop
           vertices: p479(v681) p786(v548) p60(v417)
           between f11661 and f4785
     - r20714 tested simplicialbot
           vertices: p478(v498) p497(v233) p255(v140)
           between f4785 and f18005
     - r23082 tested simplicialbot
           vertices: p780(v652) p539(v515) p359(v373)
           between f4785 and f11159
     - r20710 tested simplicialtop
           vertices: p960(v763) p478(v498) p497(v233)
           between f18002 and f4785
     - r22355 tested
           vertices: p772(v845) p960(v763) p470(v675)
           between f18002 and f4785
     - r22039 tested
           vertices: p960(v763) p470(v675) p497(v233)
           between f4785 and f18002
     - r21407 tested
           vertices: p470(v675) p308(v539) p497(v233)
           between f4785 and f18002
     - r22245 tested simplicialbot
           vertices: p246(v862) p512(v617) p612(v481)
           between f4785 and f16139
     - r20899 tested simplicialtop
           vertices: p12(v399) p497(v233) p255(v140)
           between f6360 and f4785
     - r21950 tested simplicialbot
           vertices: p134(v634) p478(v498) p255(v140)
           between f4785 and f10821
     - r15561 tested
           vertices: p272(v817) p54(v707) p991(v316)
           between f12216 and f4785
     - r12165 tested simplicialtop
           vertices: p54(v707) p402(v568) p991(v316)
           between f12216 and f4785
     - r21768 tested simplicialbot
           vertices: p915(v538) p287(v368) p59(v84)
           between f4785 and f9137
     - r23083 tested simplicialbot
           vertices: p461(v778) p780(v652) p359(v373)
           between f4785 and f13827
     - r16575 tested
           vertices: p772(v845) p308(v539) p115(v402)
           between f18584 and f4785
     - r16587 tested
           vertices: p772(v845) p647(v540) p115(v402)
           between f4785 and f18584
     - r16556 tested
           vertices: p772(v845) p470(v675) p308(v539)
           between f18584 and f4785
     - r16585 tested
           vertices: p772(v845) p469(v840) p647(v540)
           between f4785 and f18584
     - r16525 tested
           vertices: p772(v845) p380(v744) p549(v742)
           between f18584 and f4785
     - r16522 tested
           vertices: p772(v845) p380(v744) p620(v605)
           between f4785 and f18584
     - r16562 tested
           vertices: p772(v845) p972(v736) p620(v605)
           between f18584 and f4785
     - r16564 tested
           vertices: p772(v845) p469(v840) p972(v736)
           between f18584 and f4785
     - r16515 tested
           vertices: p772(v845) p701(v740) p680(v606)
           between f18584 and f4785
     - r16520 tested
           vertices: p772(v845) p549(v742) p701(v740)
           between f18584 and f4785
     - r16498 tested
           vertices: p772(v845) p680(v606) p983(v499)
           between f18584 and f4785
     - r12758 tested
           vertices: p967(v738) p680(v606) p983(v499)
           between f4785 and f18584
     - r16633 tested
           vertices: p1000(v847) p701(v740) p680(v606)
           between f4785 and f18584
     - r20163 tested simplicialbot
           vertices: p178(v776) p33(v773) p928(v649)
           between f4785 and f13808
     - r21224 tested simplicialtop
           vertices: p469(v840) p647(v540) p193(v372)
           between f14939 and f4785
     - r22479 tested simplicialbot
           vertices: p191(v541) p193(v372) p316(v47)
           between f4785 and f9189
     - r22417 tested simplicialtop
           vertices: p682(v746) p12(v399) p255(v140)
           between f12841 and f4785
     - r21266 tested simplicialtop
           vertices: p401(v405) p181(v404) p30(v275)
           between f6464 and f4785
     - r21344 tested simplicialtop
           vertices: p647(v540) p115(v402) p193(v372)
           between f9175 and f4785
     - r22179 tested simplicialtop
           vertices: p115(v402) p886(v270) p192(v173)
           between f6413 and f4785
     - r21640 tested simplicialtop
           vertices: p380(v744) p724(v743) p549(v742)
           between f12820 and f4785
     - r20167 tested simplicialtop
           vertices: p33(v773) p928(v649) p214(v478)
           between f13773 and f4785
     - r23588 tested simplicialbot
           vertices: p177(v919) p967(v738) p983(v499)
           between f4785 and f18532
     - r22854 tested simplicialbot
           vertices: p87(v608) p287(v368) p393(v153)
           between f4785 and f10398
     - r23555 tested simplicialtop
           vertices: p27(v917) p361(v839) p307(v604)
           between f18504 and f4785
     - r22071 tested simplicialtop
           vertices: p51(v841) p972(v736) p758(v250)
           between f15209 and f4785
     - r22438 tested simplicialbot
           vertices: p193(v372) p603(v272) p316(v47)
           between f4785 and f5904
     - r23562 tested simplicialtop
           vertices: p172(v918) p51(v841) p781(v609)
           between f18510 and f4785
     - r22383 tested simplicialbot
           vertices: p1000(v847) p680(v606) p240(v343)
           between f4785 and f15316
     - r22490 tested
           vertices: p967(v738) p680(v606) p240(v343)
           between f15316 and f4785
     - r22496 tested simplicialtop
           vertices: p191(v541) p844(v406) p316(v47)
           between f9186 and f4785
     - r23558 tested simplicialtop
           vertices: p172(v918) p380(v744) p620(v605)
           between f18512 and f4785
     - r22645 tested simplicialtop
           vertices: p915(v538) p88(v401) p603(v272)
           between f9140 and f4785
     - r22022 tested simplicialtop
           vertices: p193(v372) p603(v272) p758(v250)
           between f5905 and f4785
     - r22631 tested simplicialtop
           vertices: p724(v743) p928(v649) p89(v344)
           between f16031 and f4785
     - r21541 tested simplicialtop
           vertices: p469(v840) p193(v372) p758(v250)
           between f14938 and f4785
     - r21544 tested simplicialbot
           vertices: p469(v840) p972(v736) p758(v250)
           between f4785 and f14936
     - r22346 tested simplicialtop
           vertices: p844(v406) p603(v272) p316(v47)
           between f6466 and f4785
     - r22745 tested simplicialtop
           vertices: p155(v766) p377(v765) p286(v638)
           between f13162 and f4785
     - r22648 tested simplicialbot
           vertices: p88(v401) p603(v272) p758(v250)
           between f4785 and f6405
     - r20968 tested simplicialtop
           vertices: p444(v848) p1000(v847) p701(v740)
           between f18592 and f4785
     - r20477 tested simplicialbot
           vertices: p444(v848) p1000(v847) p240(v343)
           between f4785 and f18596
     - r20473 tested simplicialtop
           vertices: p444(v848) p37(v633) p240(v343)
           between f15324 and f4785
     - r23556 tested simplicialtop
           vertices: p27(v917) p93(v739) p5(v231)
           between f18506 and f4785
     - r22311 tested simplicialbot
           vertices: p781(v609) p214(v478) p393(v153)
           between f4785 and f10439
     - r21237 tested simplicialbot
           vertices: p51(v841) p781(v609) p393(v153)
           between f4785 and f15206
     - r22292 tested simplicialbot
           vertices: p30(v275) p603(v272) p59(v84)
           between f4785 and f4256
     - r21460 tested simplicialtop
           vertices: p51(v841) p915(v538) p393(v153)
           between f15205 and f4785
     - r22850 tested simplicialtop
           vertices: p33(v773) p87(v608) p287(v368)
           between f13779 and f4785
     - r21765 tested simplicialtop
           vertices: p915(v538) p603(v272) p59(v84)
           between f9139 and f4785
     - r22181 tested simplicialtop
           vertices: p915(v538) p287(v368) p393(v153)
           between f9134 and f4785
     - r22578 tested simplicialtop
           vertices: p924(v647) p713(v512) p287(v368)
           between f11073 and f4785
     - r21120 tested simplicialbot
           vertices: p33(v773) p713(v512) p287(v368)
           between f4785 and f13778
     - r21270 tested simplicialbot
           vertices: p181(v404) p30(v275) p59(v84)
           between f4785 and f6454
     - r21124 tested simplicialtop
           vertices: p178(v776) p33(v773) p713(v512)
           between f13807 and f4785
     - r22847 tested simplicialbot
           vertices: p33(v773) p87(v608) p214(v478)
           between f4785 and f13776
     - r20954 tested simplicialtop
           vertices: p178(v776) p713(v512) p745(v247)
           between f13803 and f4785
     - r22998 tested simplicialtop
           vertices: p202(v258) p341(v161) p270(v4)
           between f3965 and f4785
     - r20160 tested simplicialbot
           vertices: p724(v743) p928(v649) p214(v478)
           between f4785 and f16024
     - r20156 tested
           vertices: p724(v743) p781(v609) p214(v478)
           between f16024 and f4785
     - r22841 tested simplicialbot
           vertices: p21(v580) p11(v457) p182(v40)
           between f4785 and f9911
     - r21829 tested simplicialbot
           vertices: p380(v744) p724(v743) p781(v609)
           between f4785 and f12816
     - r22600 tested simplicialtop
           vertices: p924(v647) p287(v368) p59(v84)
           between f11072 and f4785
     - r22629 tested simplicialbot
           vertices: p724(v743) p549(v742) p89(v344)
           between f4785 and f16034
     - r22632 tested simplicialbot
           vertices: p699(v774) p928(v649) p89(v344)
           between f4785 and f13780
     - r22647 tested simplicialbot
           vertices: p51(v841) p915(v538) p88(v401)
           between f4785 and f15207
     - r22649 tested simplicialbot
           vertices: p51(v841) p88(v401) p758(v250)
           between f4785 and f15208
     - r22651 tested simplicialtop
           vertices: p444(v848) p387(v846) p417(v741)
           between f15342 and f4785
     - r22650 tested simplicialbot
           vertices: p444(v848) p387(v846) p701(v740)
           between f4785 and f18594
     - r22458 tested simplicialtop
           vertices: p302(v400) p640(v172) p325(v98)
           between f6381 and f4785
     - r21660 tested simplicialbot
           vertices: p844(v406) p401(v405) p633(v273)
           between f4785 and f6473
     - r22127 tested simplicialtop
           vertices: p100(v403) p918(v274) p325(v98)
           between f6429 and f4785
     - r21385 tested simplicialbot
           vertices: p302(v400) p638(v167) p325(v98)
           between f4785 and f6378
     - r21381 tested simplicialtop
           vertices: p918(v274) p638(v167) p325(v98)
           between f4250 and f4785
     - r22542 tested simplicialbot
           vertices: p100(v403) p918(v274) p192(v173)
           between f4785 and f6430
     - r22520 tested simplicialbot
           vertices: p613(v542) p640(v172) p325(v98)
           between f4785 and f9196
     - r22470 tested simplicialtop
           vertices: p302(v400) p346(v271) p640(v172)
           between f6382 and f4785
     - r21731 tested simplicialbot
           vertices: p100(v403) p633(v273) p325(v98)
           between f4785 and f6428
     - r21727 tested simplicialtop
           vertices: p613(v542) p633(v273) p325(v98)
           between f9197 and f4785
     - r21899 tested simplicialtop
           vertices: p844(v406) p401(v405) p30(v275)
           between f6474 and f4785
     - r20758 tested simplicialbot
           vertices: p191(v541) p844(v406) p100(v403)
           between f4785 and f9185
     - r22118 tested simplicialtop
           vertices: p613(v542) p401(v405) p633(v273)
           between f9193 and f4785
     - r20754 tested simplicialtop
           vertices: p844(v406) p100(v403) p633(v273)
           between f6471 and f4785
     - r21617 tested simplicialbot
           vertices: p191(v541) p100(v403) p192(v173)
           between f4785 and f9183
     - r20958 tested simplicialbot
           vertices: p56(v771) p713(v512) p745(v247)
           between f4785 and f13749
     - r21951 tested simplicialbot
           vertices: p191(v541) p115(v402) p193(v372)
           between f4785 and f9190
     - r21613 tested simplicialtop
           vertices: p191(v541) p115(v402) p192(v173)
           between f9182 and f4785
     - r22350 tested simplicialtop
           vertices: p844(v406) p30(v275) p603(v272)
           between f6467 and f4785
     - r22534 tested simplicialbot
           vertices: p56(v771) p924(v647) p713(v512)
           between f4785 and f13750
     - r22422 tested simplicialtop
           vertices: p56(v771) p924(v647) p59(v84)
           between f13755 and f4785
     - r23108 tested simplicialtop
           vertices: p948(v876) p674(v768) p993(v640)
           between f18041 and f4785
     - r22674 tested
           vertices: p700(v770) p993(v640) p77(v505)
           between f18041 and f4785
     - r23109 tested
           vertices: p948(v876) p700(v770) p993(v640)
           between f4785 and f18041
     - r23114 tested simplicialtop
           vertices: p948(v876) p700(v770) p406(v643)
           between f18024 and f4785
     - r22318 tested simplicialtop
           vertices: p56(v771) p963(v511) p745(v247)
           between f18044 and f4785
     - r22134 tested simplicialbot
           vertices: p56(v771) p57(v248) p59(v84)
           between f4785 and f13756
     - r22704 tested simplicialtop
           vertices: p248(v809) p990(v549) p60(v417)
           between f14469 and f4785
     - r22710 tested simplicialtop
           vertices: p248(v809) p107(v694) p31(v562)
           between f14465 and f4785
     - r22372 tested simplicialtop
           vertices: p700(v770) p243(v642) p330(v277)
           between f13736 and f4785
     - r13175 tested simplicialtop
           vertices: p907(v764) p485(v357) p210(v82)
           between f13138 and f4785
     - r13180 tested
           vertices: p907(v764) p877(v358) p210(v82)
           between f4785 and f13138
     - r13162 tested
           vertices: p907(v764) p877(v358) p280(v238)
           between f13138 and f4785
     - r13165 tested
           vertices: p907(v764) p485(v357) p280(v238)
           between f4785 and f13138
     - r21702 tested simplicialtop
           vertices: p261(v370) p320(v367) p921(v249)
           between f5840 and f4785
     - r21102 tested simplicialtop
           vertices: p907(v764) p877(v358) p139(v243)
           between f13114 and f4785
     - r14517 tested simplicialtop
           vertices: p722(v767) p907(v764) p139(v243)
           between f13177 and f4785
     - r14514 tested
           vertices: p674(v768) p722(v767) p907(v764)
           between f4785 and f13177
     - r22205 tested
           vertices: p674(v768) p722(v767) p993(v640)
           between f13177 and f4785
     - r13562 tested simplicialbot
           vertices: p910(v641) p190(v397) p611(v175)
           between f4785 and f10976
     - r21105 tested simplicialbot
           vertices: p877(v358) p139(v243) p210(v82)
           between f4785 and f5594
     - r21637 tested simplicialbot
           vertices: p261(v370) p218(v241) p489(v149)
           between f4785 and f5838
     - r21284 tested simplicialtop
           vertices: p485(v357) p716(v230) p210(v82)
           between f5561 and f4785
     - r21280 tested simplicialbot
           vertices: p535(v360) p716(v230) p210(v82)
           between f4785 and f5630
     - r20242 tested simplicialbot
           vertices: p836(v342) p716(v230) p19(v43)
           between f4785 and f5267
     - r23125 tested simplicialtop
           vertices: p948(v876) p514(v644) p159(v363)
           between f18030 and f4785
     - r20811 tested simplicialbot
           vertices: p836(v342) p734(v341) p427(v138)
           between f4785 and f5269
     - r21783 tested simplicialtop
           vertices: p535(v360) p716(v230) p19(v43)
           between f5629 and f4785
     - r20246 tested simplicialbot
           vertices: p63(v351) p836(v342) p19(v43)
           between f4785 and f5405
     - r20952 tested simplicialbot
           vertices: p456(v601) p538(v339) p427(v138)
           between f4785 and f10188
     - r22150 tested simplicialtop
           vertices: p63(v351) p836(v342) p47(v76)
           between f5406 and f4785
     - r22147 tested simplicialbot
           vertices: p63(v351) p20(v142) p47(v76)
           between f4785 and f5397
     - r13558 tested simplicialtop
           vertices: p722(v767) p910(v641) p993(v640)
           between f13171 and f4785
     - r20508 tested simplicialbot
           vertices: p619(v676) p317(v543) p639(v183)
           between f4785 and f11594
     - r22661 tested simplicialtop
           vertices: p894(v407) p611(v175) p763(v100)
           between f6483 and f4785
     - r22884 tested simplicialtop
           vertices: p605(v480) p392(v237) p904(v25)
           between f7796 and f4785
     - r21187 tested simplicialbot
           vertices: p674(v768) p907(v764) p259(v239)
           between f4785 and f13710
     - r23049 tested simplicialtop
           vertices: p464(v807) p711(v688) p955(v556)
           between f14446 and f4785
     - r21796 tested simplicialtop
           vertices: p280(v238) p751(v147) p229(v80)
           between f3522 and f4785
     - r5287 tested simplicialtop
           vertices: p485(v357) p179(v227) p973(v6)
           between f5547 and f4785
     - r5286 tested simplicialbot
           vertices: p538(v339) p179(v227) p973(v6)
           between f4785 and f5218
     - r22192 tested simplicialbot
           vertices: p907(v764) p283(v636) p259(v239)
           between f4785 and f13112
     - r20067 tested simplicialtop
           vertices: p485(v357) p280(v238) p229(v80)
           between f5549 and f4785
     - r21700 tested simplicialbot
           vertices: p173(v772) p320(v367) p921(v249)
           between f4785 and f13771
     - r20950 tested simplicialtop
           vertices: p456(v601) p734(v341) p427(v138)
           between f10186 and f4785
     - r5290 tested simplicialtop
           vertices: p538(v339) p427(v138) p973(v6)
           between f5217 and f4785
     - r22451 tested simplicialbot
           vertices: p485(v357) p179(v227) p229(v80)
           between f4785 and f5548
     - r22450 tested simplicialtop
           vertices: p538(v339) p179(v227) p229(v80)
           between f5206 and f4785
     - r21816 tested simplicialtop
           vertices: p283(v636) p70(v500) p877(v358)
           between f10859 and f4785
     - r22168 tested simplicialbot
           vertices: p70(v500) p877(v358) p751(v147)
           between f4785 and f8146
     - r19897 tested simplicialtop
           vertices: p907(v764) p283(v636) p877(v358)
           between f13113 and f4785
     - r22580 tested simplicialtop
           vertices: p535(v360) p218(v241) p210(v82)
           between f5628 and f4785
     - r22171 tested simplicialbot
           vertices: p877(v358) p280(v238) p751(v147)
           between f4785 and f5586
     - r22464 tested simplicialbot
           vertices: p485(v357) p716(v230) p973(v6)
           between f4785 and f5550
     - r22498 tested simplicialbot
           vertices: p283(v636) p159(v363) p259(v239)
           between f4785 and f10884
     - r23123 tested simplicialtop
           vertices: p948(v876) p159(v363) p259(v239)
           between f18019 and f4785
     - r14716 tested simplicialtop
           vertices: p251(v785) p118(v445) p827(v205)
           between f13970 and f4785
     - r20815 tested simplicialbot
           vertices: p836(v342) p427(v138) p973(v6)
           between f4785 and f5271
     - r21993 tested simplicialtop
           vertices: p836(v342) p716(v230) p973(v6)
           between f5272 and f4785
     - r20630 tested simplicialbot
           vertices: p139(v243) p489(v149) p210(v82)
           between f4785 and f3661
     - r22058 tested simplicialbot
           vertices: p722(v767) p554(v371) p139(v243)
           between f4785 and f13173
     - r20626 tested simplicialtop
           vertices: p554(v371) p139(v243) p489(v149)
           between f5882 and f4785
     - r21708 tested simplicialbot
           vertices: p554(v371) p921(v249) p489(v149)
           between f4785 and f5883
     - r22662 tested simplicialtop
           vertices: p894(v407) p190(v397) p611(v175)
           between f6484 and f4785
     - r22418 tested simplicialtop
           vertices: p261(v370) p921(v249) p489(v149)
           between f5839 and f4785
     - r21634 tested simplicialtop
           vertices: p218(v241) p489(v149) p210(v82)
           between f3600 and f4785
     - r20935 tested simplicialtop
           vertices: p554(v371) p921(v249) p384(v152)
           between f5881 and f4785
     - r20601 tested simplicialbot
           vertices: p173(v772) p921(v249) p384(v152)
           between f4785 and f13770
     - r20779 tested simplicialbot
           vertices: p554(v371) p266(v369) p384(v152)
           between f4785 and f5889
     - r6265 tested simplicialtop
           vertices: p894(v407) p632(v276) p78(v268)
           between f6479 and f4785
     - r20782 tested simplicialtop
           vertices: p554(v371) p266(v369) p349(v45)
           between f5888 and f4785
     - r20605 tested simplicialtop
           vertices: p173(v772) p266(v369) p384(v152)
           between f13766 and f4785
     - r22163 tested simplicialtop
           vertices: p722(v767) p554(v371) p349(v45)
           between f13172 and f4785
     - r13390 tested simplicialbot
           vertices: p611(v175) p763(v100) p349(v45)
           between f4785 and f2436
     - r6266 tested simplicialbot
           vertices: p894(v407) p190(v397) p78(v268)
           between f4785 and f6480
     - r22676 tested simplicialbot
           vertices: p700(v770) p243(v642) p77(v505)
           between f4785 and f13737
     - r13394 tested simplicialtop
           vertices: p13(v650) p763(v100) p349(v45)
           between f11128 and f4785
     - r6269 tested simplicialbot
           vertices: p894(v407) p632(v276) p763(v100)
           between f4785 and f6478
     - r21962 tested simplicialtop
           vertices: p243(v642) p77(v505) p849(v99)
           between f10990 and f4785
     - r21337 tested simplicialbot
           vertices: p910(v641) p993(v640) p77(v505)
           between f4785 and f18036
     - r21959 tested simplicialbot
           vertices: p77(v505) p849(v99) p966(v55)
           between f4785 and f8361
     - r21341 tested simplicialbot
           vertices: p910(v641) p77(v505) p966(v55)
           between f4785 and f10979
     - r22677 tested simplicialbot
           vertices: p910(v641) p611(v175) p349(v45)
           between f4785 and f10983
     - r22264 tested simplicialtop
           vertices: p526(v769) p243(v642) p849(v99)
           between f13723 and f4785
     - r22357 tested simplicialtop
           vertices: p910(v641) p190(v397) p966(v55)
           between f10978 and f4785
     - r22594 tested simplicialtop
           vertices: p526(v769) p619(v676) p375(v409)
           between f13726 and f4785
     - r22454 tested simplicialtop
           vertices: p190(v397) p78(v268) p966(v55)
           between f6287 and f4785
     - r22388 tested simplicialbot
           vertices: p526(v769) p619(v676) p849(v99)
           between f4785 and f13725
     - r22720 tested simplicialtop
           vertices: p377(v765) p283(v636) p159(v363)
           between f13145 and f4785
     - r22236 tested simplicialbot
           vertices: p317(v543) p381(v148) p501(v10)
           between f4785 and f9200
     - r22575 tested simplicialbot
           vertices: p813(v416) p639(v183) p501(v10)
           between f4785 and f6700
     - r21206 tested simplicialbot
           vertices: p956(v680) p441(v182) p136(v36)
           between f4785 and f11652
     - r22622 tested simplicialbot
           vertices: p813(v416) p372(v285) p441(v182)
           between f4785 and f6702
     - r22505 tested simplicialbot
           vertices: p813(v416) p441(v182) p90(v105)
           between f4785 and f6705
     - r15772 tested simplicialbot
           vertices: p936(v832) p68(v830) p153(v593)
           between f4785 and f14790
     - r22738 tested simplicialbot
           vertices: p377(v765) p286(v638) p219(v506)
           between f4785 and f13154
     - r21074 tested simplicialbot
           vertices: p862(v803) p323(v504) p694(v359)
           between f4785 and f14404
     - r22610 tested simplicialbot
           vertices: p984(v551) p269(v338) p880(v187)
           between f4785 and f9403
     - r22211 tested simplicialtop
           vertices: p984(v551) p52(v418) p880(v187)
           between f9400 and f4785
     - r10883 tested simplicialtop
           vertices: p233(v637) p984(v551) p229(v80)
           between f10901 and f4785
     - r21070 tested simplicialbot
           vertices: p862(v803) p678(v684) p323(v504)
           between f4785 and f18317
     - r21946 tested simplicialbot
           vertices: p862(v803) p601(v801) p678(v684)
           between f4785 and f14399
     - r22696 tested simplicialbot
           vertices: p748(v692) p129(v559) p52(v418)
           between f4785 and f11849
     - r20308 tested simplicialbot
           vertices: p862(v803) p984(v551) p52(v418)
           between f4785 and f14398
     - r10885 tested simplicialtop
           vertices: p984(v551) p269(v338) p229(v80)
           between f9404 and f4785
     - r21991 tested simplicialtop
           vertices: p862(v803) p601(v801) p52(v418)
           between f14395 and f4785
     - r21553 tested simplicialbot
           vertices: p233(v637) p984(v551) p694(v359)
           between f4785 and f10903
     - r20304 tested simplicialtop
           vertices: p862(v803) p984(v551) p694(v359)
           between f14402 and f4785
     - r21604 tested simplicialbot
           vertices: p353(v269) p798(v170) p244(v52)
           between f4785 and f4190
     - r22694 tested simplicialbot
           vertices: p143(v729) p748(v692) p880(v187)
           between f4785 and f12554
     - r22683 tested simplicialbot
           vertices: p748(v692) p52(v418) p880(v187)
           between f4785 and f11851
     - r22699 tested simplicialbot
           vertices: p538(v339) p269(v338) p229(v80)
           between f4785 and f5207
     - r11887 tested
           vertices: p466(v695) p45(v693) p610(v111)
           between f4785 and f11961
     - r11909 tested
           vertices: p466(v695) p45(v693) p690(v429)
           between f11961 and f4785
     - r22124 tested simplicialbot
           vertices: p466(v695) p542(v560) p690(v429)
           between f4785 and f11952
     - r22126 tested simplicialtop
           vertices: p45(v693) p542(v560) p690(v429)
           between f11888 and f4785
     - r20335 tested simplicialbot
           vertices: p466(v695) p610(v111) p689(v63)
           between f4785 and f11967
     - r21208 tested simplicialbot
           vertices: p706(v309) p220(v201) p127(v3)
           between f4785 and f4735
     - r20869 tested simplicialtop
           vertices: p45(v693) p610(v111) p127(v3)
           between f11891 and f4785
     - r21162 tested simplicialbot
           vertices: p45(v693) p542(v560) p814(v298)
           between f4785 and f11890
     - r22679 tested simplicialtop
           vertices: p601(v801) p855(v683) p52(v418)
           between f14384 and f4785
     - r21814 tested simplicialtop
           vertices: p356(v300) p220(v201) p558(v194)
           between f4622 and f4785
     - r22941 tested simplicialtop
           vertices: p828(v725) p684(v469) p355(v334)
           between f12475 and f4785
     - r6425 tested
           vertices: p201(v411) p610(v111) p689(v63)
           between f6612 and f4785
     - r9651 tested simplicialtop
           vertices: p542(v560) p814(v298) p911(v288)
           between f9619 and f4785
     - r20446 tested simplicialtop
           vertices: p107(v694) p542(v560) p911(v288)
           between f11923 and f4785
     - r22330 tested simplicialbot
           vertices: p855(v683) p129(v559) p997(v290)
           between f4785 and f11707
     - r21158 tested simplicialtop
           vertices: p709(v475) p538(v339) p986(v228)
           between f7704 and f4785
     - r20442 tested simplicialbot
           vertices: p466(v695) p107(v694) p542(v560)
           between f4785 and f11959
     - r7334 tested simplicialtop
           vertices: p111(v466) p492(v335) p504(v225)
           between f7552 and f4785
     - r12397 tested
           vertices: p258(v726) p223(v595) p600(v336)
           between f4785 and f10110
     - r10103 tested simplicialtop
           vertices: p223(v595) p600(v336) p504(v225)
           between f10110 and f4785
     - r22894 tested simplicialtop
           vertices: p492(v335) p744(v216) p310(v71)
           between f5165 and f4785
     - r23509 tested simplicialtop
           vertices: p934(v909) p936(v832) p68(v830)
           between f18422 and f4785
     - r6436 tested
           vertices: p201(v411) p504(v225) p558(v194)
           between f7574 and f4785
     - r7339 tested simplicialbot
           vertices: p850(v467) p504(v225) p558(v194)
           between f4785 and f7574
     - r7329 tested
           vertices: p111(v466) p201(v411) p504(v225)
           between f4785 and f7574
     - r20515 tested simplicialbot
           vertices: p492(v335) p744(v216) p483(v130)
           between f4785 and f5159
     - r21572 tested simplicialtop
           vertices: p370(v410) p744(v216) p483(v130)
           between f6577 and f4785
     - r21759 tested simplicialbot
           vertices: p845(v178) p791(v177) p194(v18)
           between f4785 and f2474
     - r23510 tested simplicialbot
           vertices: p934(v909) p930(v118) p834(v88)
           between f4785 and f18419
     - r15768 tested simplicialtop
           vertices: p976(v727) p154(v723) p153(v593)
           between f12535 and f4785
     - r22573 tested simplicialbot
           vertices: p265(v398) p353(v269) p244(v52)
           between f4785 and f6323
     - r22976 tested simplicialbot
           vertices: p885(v590) p170(v589) p84(v465)
           between f4785 and f12420
     - r22993 tested simplicialtop
           vertices: p885(v590) p170(v589) p873(v137)
           between f12423 and f4785
     - r23512 tested simplicialbot
           vertices: p934(v909) p662(v722) p356(v300)
           between f4785 and f18430
     - r22877 tested simplicialbot
           vertices: p392(v237) p480(v145) p288(v79)
           between f4785 and f3513
     - r15747 tested simplicialtop
           vertices: p73(v564) p998(v432) p197(v332)
           between f9676 and f4785
     - r22407 tested simplicialtop
           vertices: p196(v596) p850(v467) p600(v336)
           between f10112 and f4785
     - r20547 tested simplicialbot
           vertices: p936(v832) p976(v727) p850(v467)
           between f4785 and f14787
     - r20543 tested simplicialbot
           vertices: p976(v727) p196(v596) p850(v467)
           between f4785 and f12502
     - r22815 tested simplicialbot
           vertices: p662(v722) p850(v467) p558(v194)
           between f4785 and f12445
     - r21027 tested simplicialbot
           vertices: p628(v325) p337(v279) p310(v71)
           between f4785 and f4982
     - r21023 tested simplicialtop
           vertices: p64(v415) p337(v279) p310(v71)
           between f6687 and f4785
     - r23013 tested simplicialbot
           vertices: p162(v825) p826(v331) p697(v133)
           between f4785 and f14680
     - r21166 tested simplicialtop
           vertices: p45(v693) p706(v309) p814(v298)
           between f11917 and f4785
     - r21776 tested simplicialbot
           vertices: p513(v806) p48(v690) p160(v190)
           between f4785 and f14429
     - r20403 tested simplicialbot
           vertices: p11(v457) p628(v325) p310(v71)
           between f4785 and f7399
     - r22461 tested simplicialbot
           vertices: p64(v415) p337(v279) p845(v178)
           between f4785 and f6688
     - r10056 tested
           vertices: p885(v590) p84(v465) p413(v224)
           between f4785 and f7516
     - r7284 tested
           vertices: p84(v465) p199(v464) p413(v224)
           between f4785 and f7516
     - r7286 tested simplicialtop
           vertices: p84(v465) p199(v464) p826(v331)
           between f7516 and f4785
     - r22663 tested simplicialbot
           vertices: p107(v694) p31(v562) p911(v288)
           between f4785 and f11919
     - r22999 tested simplicialtop
           vertices: p236(v585) p202(v258) p270(v4)
           between f9960 and f4785
     - r22559 tested simplicialtop
           vertices: p102(v412) p628(v325) p337(v279)
           between f6618 and f4785
     - r20400 tested simplicialtop
           vertices: p21(v580) p11(v457) p628(v325)
           between f9915 and f4785
     - r20227 tested simplicialtop
           vertices: p21(v580) p628(v325) p49(v53)
           between f9914 and f4785
     - r23006 tested simplicialbot
           vertices: p413(v224) p521(v74) p391(v23)
           between f4785 and f3271
     - r9909 tested simplicialbot
           vertices: p21(v580) p506(v164) p578(v94)
           between f4785 and f9922
     - r20801 tested simplicialbot
           vertices: p828(v725) p223(v595) p575(v136)
           between f4785 and f12472
     - r20223 tested simplicialtop
           vertices: p628(v325) p693(v215) p49(v53)
           between f4981 and f4785
     - r22904 tested simplicialtop
           vertices: p989(v129) p182(v40) p222(v8)
           between f1721 and f4785
     - r22599 tested simplicialtop
           vertices: p21(v580) p625(v263) p578(v94)
           between f9923 and f4785
     - r12381 tested simplicialbot
           vertices: p11(v457) p989(v129) p182(v40)
           between f4785 and f7396
     - r20148 tested simplicialbot
           vertices: p162(v825) p199(v464) p826(v331)
           between f4785 and f14678
     - r22990 tested simplicialbot
           vertices: p885(v590) p840(v223) p873(v137)
           between f4785 and f10039
     - r22597 tested simplicialbot
           vertices: p21(v580) p625(v263) p49(v53)
           between f4785 and f9913
     - r22936 tested simplicialbot
           vertices: p634(v583) p329(v329) p267(v220)
           between f4785 and f9942
     - r22982 tested simplicialbot
           vertices: p646(v333) p575(v136) p158(v75)
           between f4785 and f5145
     - r12351 tested simplicialbot
           vertices: p885(v590) p413(v224) p840(v223)
           between f4785 and f10046
     - r22987 tested simplicialtop
           vertices: p201(v411) p901(v299) p610(v111)
           between f6594 and f4785
     - r20286 tested
           vertices: p196(v596) p223(v595) p197(v332)
           between f10094 and f4785
     - r22924 tested simplicialbot
           vertices: p223(v595) p197(v332) p158(v75)
           between f4785 and f10094
     - r7333 tested simplicialbot
           vertices: p111(v466) p492(v335) p483(v130)
           between f4785 and f10052
     - r7347 tested simplicialbot
           vertices: p850(v467) p600(v336) p504(v225)
           between f4785 and f7575
     - r20499 tested simplicialtop
           vertices: p212(v302) p609(v196) p292(v37)
           between f4656 and f4785
     - r22322 tested simplicialtop
           vertices: p212(v302) p189(v116) p851(v64)
           between f4658 and f4785
     - r22326 tested simplicialtop
           vertices: p855(v683) p129(v559) p52(v418)
           between f11699 and f4785
     - r6871 tested simplicialbot
           vertices: p347(v440) p121(v308) p292(v37)
           between f4785 and f7072
     - r20495 tested simplicialbot
           vertices: p212(v302) p609(v196) p851(v64)
           between f4785 and f4659
     - r21446 tested simplicialbot
           vertices: p347(v440) p212(v302) p189(v116)
           between f4785 and f7078
     - r21987 tested simplicialtop
           vertices: p347(v440) p212(v302) p292(v37)
           between f7074 and f4785
     - r21450 tested simplicialtop
           vertices: p347(v440) p121(v308) p189(v116)
           between f7079 and f4785
     - r6823 tested
           vertices: p28(v434) p65(v197) p568(v115)
           between f4785 and f2850
     - r2604 tested simplicialbot
           vertices: p65(v197) p609(v196) p568(v115)
           between f4785 and f2850
     - r6830 tested
           vertices: p719(v435) p65(v197) p609(v196)
           between f2850 and f4785
     - r20366 tested simplicialbot
           vertices: p556(v697) p545(v443) p978(v66)
           between f4785 and f12017
     - r13580 tested
           vertices: p718(v689) p455(v426) p457(v39)
           between f4785 and f11816
     - r14251 tested simplicialtop
           vertices: p718(v689) p510(v214) p457(v39)
           between f11816 and f4785
     - r22176 tested
           vertices: p455(v426) p477(v126) p457(v39)
           between f4785 and f11816
     - r20685 tested simplicialbot
           vertices: p373(v819) p595(v781) p920(v577)
           between f4785 and f14604
     - r22443 tested simplicialbot
           vertices: p718(v689) p234(v311) p946(v204)
           between f4785 and f11801
     - r22788 tested simplicialbot
           vertices: p245(v69) p435(v22) p784(v7)
           between f4785 and f802
     - r21893 tested simplicialbot
           vertices: p776(v821) p717(v472) p306(v212)
           between f4785 and f14637
     - r22533 tested simplicialbot
           vertices: p638(v167) p321(v95) p476(v1)
           between f4785 and f2348
     - r22548 tested simplicialbot
           vertices: p356(v300) p220(v201) p292(v37)
           between f4785 and f4629
     - r15454 tested simplicialbot
           vertices: p217(v804) p946(v204) p753(v16)
           between f4785 and f14412
     - r22783 tested simplicialtop
           vertices: p789(v868) p409(v624) p536(v210)
           between f16751 and f4785
     - r21421 tested simplicialbot
           vertices: p776(v821) p166(v557) p717(v472)
           between f4785 and f14638
     - r14750 tested simplicialtop
           vertices: p556(v697) p403(v696) p571(v441)
           between f12020 and f4785
     - r15457 tested simplicialtop
           vertices: p118(v445) p234(v311) p946(v204)
           between f7164 and f4785
     - r23044 tested simplicialbot
           vertices: p403(v696) p571(v441) p884(v310)
           between f4785 and f12004
     - r22446 tested simplicialbot
           vertices: p217(v804) p711(v688) p946(v204)
           between f4785 and f14411
     - r23050 tested simplicialbot
           vertices: p718(v689) p955(v556) p455(v426)
           between f4785 and f14427
     - r19935 tested simplicialtop
           vertices: p636(v424) p185(v294) p978(v66)
           between f6829 and f4785
     - r9494 tested
           vertices: p531(v555) p242(v442) p898(v291)
           between f9707 and f4785
     - r6943 tested simplicialbot
           vertices: p545(v443) p242(v442) p898(v291)
           between f4785 and f9707
     - r20865 tested simplicialbot
           vertices: p556(v697) p978(v66) p753(v16)
           between f4785 and f12021
     - r22055 tested simplicialbot
           vertices: p419(v685) p365(v599) p160(v190)
           between f4785 and f11747
     - r19937 tested simplicialtop
           vertices: p636(v424) p978(v66) p753(v16)
           between f6828 and f4785
     - r22041 tested simplicialtop
           vertices: p532(v427) p16(v423) p3(v293)
           between f6909 and f4785
     - r19268 tested simplicialtop
           vertices: p364(v808) p48(v690) p686(v295)
           between f18340 and f4785
     - r23426 tested simplicialbot
           vertices: p867(v900) p48(v690) p717(v472)
           between f4785 and f18339
     - r23416 tested simplicialtop
           vertices: p116(v899) p217(v804) p711(v688)
           between f18328 and f4785
     - r23425 tested simplicialtop
           vertices: p867(v900) p166(v557) p717(v472)
           between f18338 and f4785
     - r19192 tested simplicialbot
           vertices: p419(v685) p160(v190) p36(v109)
           between f4785 and f11749
     - r19265 tested simplicialbot
           vertices: p48(v690) p686(v295) p160(v190)
           between f4785 and f18342
     - r19189 tested
           vertices: p686(v295) p160(v190) p36(v109)
           between f18342 and f4785
     - r18320 tested simplicialbot
           vertices: p532(v427) p738(v292) p995(v189)
           between f4785 and f6891
     - r18771 tested simplicialtop
           vertices: p686(v295) p738(v292) p995(v189)
           between f4566 and f4785
     - r23422 tested simplicialtop
           vertices: p867(v900) p364(v808) p711(v688)
           between f18332 and f4785
     - r11657 tested simplicialtop
           vertices: p419(v685) p738(v292) p36(v109)
           between f11751 and f4785
     - r9601 tested simplicialtop
           vertices: p429(v558) p532(v427) p557(v188)
           between f9533 and f4785
     - r9599 tested simplicialtop
           vertices: p532(v427) p738(v292) p557(v188)
           between f6890 and f4785
     - r21773 tested simplicialtop
           vertices: p513(v806) p365(v599) p160(v190)
           between f14432 and f4785
     - r18774 tested simplicialbot
           vertices: p686(v295) p738(v292) p36(v109)
           between f4785 and f4565
     - r23048 tested simplicialtop
           vertices: p464(v807) p955(v556) p455(v426)
           between f14445 and f4785
     - r23043 tested simplicialbot
           vertices: p118(v445) p827(v205) p946(v204)
           between f4785 and f7174
     - r23421 tested simplicialbot
           vertices: p867(v900) p464(v807) p711(v688)
           between f4785 and f18331
     - r23411 tested simplicialbot
           vertices: p116(v899) p217(v804) p185(v294)
           between f4785 and f18323
     - r19319 tested simplicialbot
           vertices: p464(v807) p166(v557) p455(v426)
           between f4785 and f14444
     - r23419 tested simplicialbot
           vertices: p867(v900) p364(v808) p48(v690)
           between f4785 and f18334
     - r11668 tested simplicialbot
           vertices: p419(v685) p668(v553) p322(v471)
           between f4785 and f11746
     - r19474 tested simplicialbot
           vertices: p668(v553) p738(v292) p557(v188)
           between f4785 and f9422
     - r19799 tested simplicialbot
           vertices: p297(v554) p313(v420) p131(v297)
           between f4785 and f9445
     - r11661 tested simplicialtop
           vertices: p419(v685) p668(v553) p738(v292)
           between f11752 and f4785
     - r19801 tested simplicialtop
           vertices: p591(v552) p997(v290) p169(v33)
           between f9419 and f4785
     - r19275 tested simplicialtop
           vertices: p3(v293) p898(v291) p978(v66)
           between f6801 and f4785
     - r19072 tested simplicialbot
           vertices: p217(v804) p636(v424) p185(v294)
           between f4785 and f14409
     - r19359 tested simplicialbot
           vertices: p531(v555) p313(v420) p898(v291)
           between f4785 and f9448
     - r19177 tested simplicialbot
           vertices: p741(v425) p185(v294) p978(v66)
           between f4785 and f6835
     - r19070 tested simplicialtop
           vertices: p217(v804) p636(v424) p753(v16)
           between f14413 and f4785
     - r19173 tested simplicialtop
           vertices: p741(v425) p3(v293) p978(v66)
           between f6836 and f4785
     - r18607 tested simplicialbot
           vertices: p297(v554) p3(v293) p898(v291)
           between f4785 and f9439
     - r19382 tested simplicialbot
           vertices: p741(v425) p3(v293) p995(v189)
           between f4785 and f6837
     - r19358 tested simplicialtop
           vertices: p297(v554) p313(v420) p898(v291)
           between f9434 and f4785
     - r9681 tested simplicialbot
           vertices: p31(v562) p696(v428) p431(v110)
           between f4785 and f9623
     - r23424 tested simplicialtop
           vertices: p867(v900) p464(v807) p166(v557)
           between f18336 and f4785
     - r23415 tested
           vertices: p116(v899) p364(v808) p741(v425)
           between f18349 and f4785
     - r19259 tested simplicialbot
           vertices: p364(v808) p741(v425) p995(v189)
           between f4785 and f18349
     - r19262 tested
           vertices: p364(v808) p686(v295) p995(v189)
           between f18349 and f4785
     - r23289 tested simplicialtop
           vertices: p23(v893) p774(v672) p927(v581)
           between f18228 and f4785
     - r19384 tested simplicialtop
           vertices: p532(v427) p3(v293) p995(v189)
           between f6908 and f4785
     - r19649 tested simplicialtop
           vertices: p909(v687) p313(v420) p109(v191)
           between f11777 and f4785
     - r11682 tested
           vertices: p909(v687) p531(v555) p109(v191)
           between f4785 and f9460
     - r11679 tested simplicialbot
           vertices: p531(v555) p911(v288) p109(v191)
           between f4785 and f9460
     - r19650 tested simplicialtop
           vertices: p909(v687) p531(v555) p313(v420)
           between f11775 and f4785
     - r19651 tested simplicialtop
           vertices: p313(v420) p131(v297) p109(v191)
           between f6778 and f4785
     - r19770 tested simplicialbot
           vertices: p429(v558) p591(v552) p557(v188)
           between f4785 and f9562
     - r11743 tested simplicialtop
           vertices: p615(v691) p429(v558) p131(v297)
           between f11846 and f4785
     - r19773 tested simplicialbot
           vertices: p668(v553) p591(v552) p935(v419)
           between f4785 and f9425
     - r19772 tested simplicialtop
           vertices: p668(v553) p591(v552) p557(v188)
           between f9424 and f4785
     - r11667 tested simplicialtop
           vertices: p668(v553) p322(v471) p935(v419)
           between f9427 and f4785
     - r19803 tested simplicialtop
           vertices: p365(v599) p872(v598) p322(v471)
           between f10165 and f4785
     - r22433 tested simplicialbot
           vertices: p531(v555) p242(v442) p576(v304)
           between f4785 and f9458
     - r9680 tested simplicialtop
           vertices: p31(v562) p109(v191) p431(v110)
           between f9629 and f4785
     - r19798 tested simplicialtop
           vertices: p429(v558) p591(v552) p131(v297)
           between f9563 and f4785
     - r19797 tested simplicialbot
           vertices: p591(v552) p131(v297) p169(v33)
           between f4785 and f9416
     - r19800 tested simplicialtop
           vertices: p297(v554) p16(v423) p131(v297)
           between f9446 and f4785
     - r19802 tested simplicialtop
           vertices: p591(v552) p935(v419) p997(v290)
           between f9420 and f4785
     - r19804 tested simplicialtop
           vertices: p419(v685) p365(v599) p322(v471)
           between f11748 and f4785
     - r19806 tested simplicialbot
           vertices: p143(v729) p872(v598) p322(v471)
           between f4785 and f12549
     - r19805 tested simplicialbot
           vertices: p143(v729) p322(v471) p935(v419)
           between f4785 and f12547
     - r9678 tested simplicialtop
           vertices: p696(v428) p431(v110) p169(v33)
           between f6915 and f4785
     - r19808 tested simplicialbot
           vertices: p131(v297) p109(v191) p431(v110)
           between f4785 and f4584
     - r19807 tested simplicialbot
           vertices: p131(v297) p431(v110) p169(v33)
           between f4785 and f4580
     - r11742 tested simplicialbot
           vertices: p615(v691) p16(v423) p131(v297)
           between f4785 and f11845
     - r9487 tested simplicialbot
           vertices: p297(v554) p16(v423) p3(v293)
           between f4785 and f9442
     - r22231 tested simplicialtop
           vertices: p143(v729) p129(v559) p935(v419)
           between f12548 and f4785
     - r22698 tested simplicialtop
           vertices: p143(v729) p748(v692) p129(v559)
           between f12551 and f4785
     - r22432 tested simplicialtop
           vertices: p242(v442) p576(v304) p65(v197)
           between f7119 and f4785
     - r21914 tested simplicialbot
           vertices: p709(v475) p761(v229) p4(v59)
           between f4785 and f7706
     - r22431 tested simplicialbot
           vertices: p531(v555) p576(v304) p911(v288)
           between f4785 and f9459
     - r22442 tested simplicialtop
           vertices: p31(v562) p911(v288) p109(v191)
           between f9627 and f4785
     - r6843 tested simplicialbot
           vertices: p28(v434) p576(v304) p65(v197)
           between f4785 and f7016
     - r21629 tested simplicialbot
           vertices: p615(v691) p429(v558) p532(v427)
           between f4785 and f11844
     - r21632 tested simplicialbot
           vertices: p615(v691) p532(v427) p16(v423)
           between f4785 and f11843
     - r6814 tested
           vertices: p28(v434) p576(v304) p911(v288)
           between f4673 and f4785
     - r6821 tested
           vertices: p28(v434) p911(v288) p568(v115)
           between f4605 and f4785
     - r4467 tested
           vertices: p706(v309) p814(v298) p568(v115)
           between f4785 and f4605
     - r4360 tested simplicialbot
           vertices: p814(v298) p911(v288) p568(v115)
           between f4785 and f4605
     - r21608 tested simplicialtop
           vertices: p798(v170) p244(v52) p476(v1)
           between f2381 and f4785
     - r22477 tested simplicialbot
           vertices: p717(v472) p446(v321) p306(v212)
           between f4785 and f7632
     - r21435 tested simplicialbot
           vertices: p872(v598) p986(v228) p4(v59)
           between f4785 and f10145
     - r20717 tested simplicialtop
           vertices: p143(v729) p872(v598) p880(v187)
           between f12558 and f4785
     - r21316 tested simplicialbot
           vertices: p365(v599) p872(v598) p4(v59)
           between f4785 and f10164
     - r21595 tested simplicialbot
           vertices: p715(v324) p510(v214) p457(v39)
           between f4785 and f4955
     - r20255 tested simplicialtop
           vertices: p422(v782) p595(v781) p560(v655)
           between f13884 and f4785
     - r4558 tested
           vertices: p991(v316) p234(v311) p510(v214)
           between f4785 and f4768
     - r4557 tested
           vertices: p991(v316) p234(v311) p264(v68)
           between f4768 and f4785
     - r20581 tested simplicialtop
           vertices: p718(v689) p234(v311) p510(v214)
           between f11808 and f4785
     - r21427 tested simplicialbot
           vertices: p129(v559) p935(v419) p997(v290)
           between f4785 and f9571
     - r6838 tested simplicialtop
           vertices: p719(v435) p608(v307) p437(v305)
           between f7021 and f4785
     - r11376 tested simplicialbot
           vertices: p769(v661) p608(v307) p65(v197)
           between f4785 and f11440
     - r6836 tested
           vertices: p608(v307) p437(v305) p65(v197)
           between f4785 and f11440
     - r11466 tested simplicialtop
           vertices: p866(v662) p769(v661) p608(v307)
           between f11472 and f4785
     - r11463 tested simplicialtop
           vertices: p866(v662) p608(v307) p425(v199)
           between f11472 and f4785
     - r23204 tested
           vertices: p62(v886) p866(v662) p769(v661)
           between f4785 and f11472
     - r22109 tested simplicialtop
           vertices: p719(v435) p437(v305) p65(v197)
           between f7036 and f4785
     - r14786 tested simplicialtop
           vertices: p164(v787) p769(v661) p884(v310)
           between f14000 and f4785
     - r14787 tested
           vertices: p164(v787) p769(v661) p242(v442)
           between f4785 and f11438
     - r14146 tested simplicialtop
           vertices: p769(v661) p242(v442) p65(v197)
           between f11438 and f4785
     - r23595 tested simplicialbot
           vertices: p987(v920) p387(v846) p417(v741)
           between f4785 and f18542
     - r21539 tested simplicialbot
           vertices: p608(v307) p189(v116) p851(v64)
           between f4785 and f4698
     - r22057 tested simplicialtop
           vertices: p719(v435) p609(v196) p851(v64)
           between f7032 and f4785
     - r20749 tested simplicialbot
           vertices: p719(v435) p608(v307) p851(v64)
           between f4785 and f7020
     - r23024 tested simplicialbot
           vertices: p653(v784) p866(v662) p171(v158)
           between f4785 and f18124
     - r23023 tested
           vertices: p653(v784) p121(v308) p171(v158)
           between f18124 and f4785
     - r20903 tested simplicialbot
           vertices: p608(v307) p425(v199) p189(v116)
           between f4785 and f4699
     - r14782 tested simplicialtop
           vertices: p653(v784) p866(v662) p425(v199)
           between f13940 and f4785
     - r23036 tested simplicialbot
           vertices: p649(v668) p517(v387) p795(v261)
           between f4785 and f11519
     - r21538 tested simplicialbot
           vertices: p545(v443) p898(v291) p978(v66)
           between f4785 and f7137
     - r21329 tested simplicialbot
           vertices: p371(v600) p365(v599) p4(v59)
           between f4785 and f10183
     - r21326 tested simplicialtop
           vertices: p371(v600) p761(v229) p4(v59)
           between f10180 and f4785
     - r22511 tested simplicialtop
           vertices: p709(v475) p986(v228) p4(v59)
           between f7705 and f4785
     - r21437 tested simplicialtop
           vertices: p706(v309) p220(v201) p568(v115)
           between f4736 and f4785
     - r21227 tested simplicialtop
           vertices: p220(v201) p609(v196) p568(v115)
           between f2889 and f4785
     - r21230 tested simplicialbot
           vertices: p220(v201) p609(v196) p292(v37)
           between f4785 and f2888
     - r20239 tested simplicialbot
           vertices: p456(v601) p709(v475) p538(v339)
           between f4785 and f10189
     - r20235 tested simplicialtop
           vertices: p456(v601) p709(v475) p734(v341)
           between f10187 and f4785
     - r21399 tested simplicialtop
           vertices: p957(v703) p664(v573) p629(v123)
           between f12147 and f4785
     - r22083 tested simplicialtop
           vertices: p562(v474) p714(v473) p825(v340)
           between f7691 and f4785
     - r20077 tested simplicialtop
           vertices: p717(v472) p446(v321) p315(v127)
           between f7630 and f4785
     - r20261 tested simplicialtop
           vertices: p305(v578) p731(v454) p771(v213)
           between f9886 and f4785
     - r20598 tested simplicialtop
           vertices: p513(v806) p371(v600) p365(v599)
           between f14435 and f4785
     - r21771 tested simplicialtop
           vertices: p513(v806) p48(v690) p825(v340)
           between f14430 and f4785
     - r22151 tested simplicialbot
           vertices: p32(v730) p562(v474) p714(v473)
           between f4785 and f12564
     - r20594 tested simplicialbot
           vertices: p513(v806) p371(v600) p714(v473)
           between f4785 and f14434
     - r20925 tested simplicialbot
           vertices: p513(v806) p714(v473) p825(v340)
           between f4785 and f14433
     - r22153 tested simplicialtop
           vertices: p32(v730) p371(v600) p714(v473)
           between f12561 and f4785
     - r21235 tested simplicialtop
           vertices: p48(v690) p717(v472) p825(v340)
           between f11824 and f4785
     - r21232 tested simplicialbot
           vertices: p562(v474) p717(v472) p825(v340)
           between f4785 and f7689
     - r20081 tested simplicialtop
           vertices: p562(v474) p717(v472) p315(v127)
           between f7688 and f4785
     - r22037 tested simplicialbot
           vertices: p446(v321) p315(v127) p435(v22)
           between f4785 and f4918
     - r21438 tested simplicialbot
           vertices: p446(v321) p771(v213) p306(v212)
           between f4785 and f4921
     - r21441 tested simplicialtop
           vertices: p446(v321) p771(v213) p435(v22)
           between f4919 and f4785
     - r21262 tested simplicialtop
           vertices: p276(v92) p584(v30) p194(v18)
           between f1131 and f4785
     - r21258 tested simplicialtop
           vertices: p971(v280) p276(v92) p194(v18)
           between f4328 and f4785
     - r20265 tested simplicialtop
           vertices: p305(v578) p771(v213) p306(v212)
           between f9888 and f4785
     - r22964 tested simplicialtop
           vertices: p646(v333) p575(v136) p222(v8)
           between f5143 and f4785
     - r14855 tested simplicialbot
           vertices: p817(v791) p395(v701) p659(v628)
           between f4785 and f14072
     - r22278 tested simplicialtop
           vertices: p944(v78) p435(v22) p784(v7)
           between f946 and f4785
     - r22692 tested simplicialtop
           vertices: p872(v598) p269(v338) p880(v187)
           between f10139 and f4785
     - r22186 tested simplicialtop
           vertices: p208(v639) p323(v504) p411(v240)
           between f10941 and f4785
     - r20910 tested simplicialtop
           vertices: p323(v504) p969(v501) p411(v240)
           between f8198 and f4785
     - r22008 tested simplicialbot
           vertices: p155(v766) p208(v639) p658(v361)
           between f4785 and f13160
     - r22502 tested simplicialtop
           vertices: p233(v637) p70(v500) p411(v240)
           between f10890 and f4785
     - r22183 tested simplicialtop
           vertices: p208(v639) p411(v240) p981(v81)
           between f10940 and f4785
     - r20914 tested simplicialbot
           vertices: p323(v504) p969(v501) p694(v359)
           between f4785 and f8203
     - r21085 tested simplicialbot
           vertices: p233(v637) p969(v501) p411(v240)
           between f4785 and f10891
     - r22405 tested simplicialtop
           vertices: p155(v766) p208(v639) p981(v81)
           between f13156 and f4785
     - r21716 tested simplicialbot
           vertices: p283(v636) p411(v240) p981(v81)
           between f4785 and f10870
     - r21712 tested simplicialbot
           vertices: p377(v765) p283(v636) p981(v81)
           between f4785 and f13144
     - r21857 tested simplicialbot
           vertices: p283(v636) p70(v500) p411(v240)
           between f4785 and f10860
     - r20272 tested simplicialbot
           vertices: p262(v861) p123(v829) p958(v620)
           between f4785 and f16135
     - r21744 tested simplicialbot
           vertices: p155(v766) p377(v765) p981(v81)
           between f4785 and f13158
     - r22093 tested simplicialbot
           vertices: p631(v828) p25(v484) p99(v246)
           between f4785 and f14710
     - r22030 tested simplicialbot
           vertices: p233(v637) p751(v147) p229(v80)
           between f4785 and f10900
     - r21088 tested simplicialtop
           vertices: p233(v637) p969(v501) p694(v359)
           between f10902 and f4785
     - r22589 tested simplicialbot
           vertices: p233(v637) p70(v500) p751(v147)
           between f4785 and f10892
     - r21395 tested simplicialbot
           vertices: p949(v820) p664(v573) p629(v123)
           between f4785 and f14624
     - r22469 tested simplicialtop
           vertices: p122(v759) p285(v319) p97(v26)
           between f13020 and f4785
     - r15588 tested
           vertices: p373(v819) p661(v812) p395(v701)
           between f4785 and f14617
     - r20932 tested simplicialtop
           vertices: p122(v759) p547(v629) p805(v355)
           between f13009 and f4785
     - r20928 tested simplicialbot
           vertices: p481(v835) p547(v629) p805(v355)
           between f4785 and f18464
     - r4649 tested simplicialtop
           vertices: p285(v319) p536(v210) p519(v122)
           between f4899 and f4785
     - r17841 tested simplicialbot
           vertices: p278(v211) p536(v210) p519(v122)
           between f4785 and f2994
     - r4651 tested simplicialbot
           vertices: p285(v319) p991(v316) p519(v122)
           between f4785 and f9802
     - r4691 tested simplicialtop
           vertices: p715(v324) p991(v316) p519(v122)
           between f4957 and f4785
     - r17842 tested simplicialtop
           vertices: p278(v211) p536(v210) p454(v125)
           between f2995 and f4785
     - r14309 tested simplicialtop
           vertices: p688(v453) p278(v211) p454(v125)
           between f7335 and f4785
     - r14312 tested simplicialbot
           vertices: p715(v324) p278(v211) p519(v122)
           between f4785 and f4956
     - r23027 tested simplicialtop
           vertices: p653(v784) p425(v199) p189(v116)
           between f13933 and f4785
     - r23033 tested simplicialtop
           vertices: p649(v668) p517(v387) p785(v15)
           between f11521 and f4785
     - r15771 tested simplicialtop
           vertices: p936(v832) p976(v727) p153(v593)
           between f14784 and f4785
     - r22780 tested simplicialbot
           vertices: p789(v868) p742(v756) p854(v345)
           between f4785 and f16750
     - r20413 tested simplicialbot
           vertices: p595(v781) p560(v655) p559(v451)
           between f4785 and f18086
     - r13612 tested
           vertices: p200(v699) p368(v495) p97(v26)
           between f14489 and f4785
     - r13890 tested simplicialbot
           vertices: p200(v699) p402(v568) p97(v26)
           between f4785 and f14489
     - r23487 tested simplicialtop
           vertices: p569(v907) p61(v717) p655(v588)
           between f18403 and f4785
     - r6415 tested simplicialbot
           vertices: p201(v411) p42(v195) p689(v63)
           between f4785 and f6601
     - r22362 tested simplicialbot
           vertices: p949(v820) p373(v819) p395(v701)
           between f4785 and f14631
     - r21067 tested simplicialtop
           vertices: p402(v568) p285(v319) p991(v316)
           between f9804 and f4785
     - r21063 tested simplicialbot
           vertices: p402(v568) p285(v319) p97(v26)
           between f4785 and f9721
     - r20832 tested simplicialtop
           vertices: p373(v819) p661(v812) p691(v700)
           between f14621 and f4785
     - r20682 tested simplicialbot
           vertices: p373(v819) p263(v814) p595(v781)
           between f4785 and f14605
     - r22700 tested simplicialtop
           vertices: p538(v339) p269(v338) p986(v228)
           between f5208 and f4785
     - r20028 tested
           vertices: p272(v817) p54(v707) p920(v577)
           between f4785 and f18084
     - r20025 tested simplicialbot
           vertices: p272(v817) p920(v577) p559(v451)
           between f4785 and f18084
     - r12160 tested
           vertices: p54(v707) p691(v700) p402(v568)
           between f12212 and f4785
     - r20416 tested simplicialtop
           vertices: p595(v781) p920(v577) p559(v451)
           between f18082 and f4785
     - r21611 tested simplicialtop
           vertices: p691(v700) p200(v699) p402(v568)
           between f12086 and f4785
     - r22540 tested simplicialbot
           vertices: p661(v812) p691(v700) p200(v699)
           between f4785 and f14499
     - r22787 tested simplicialbot
           vertices: p731(v454) p771(v213) p245(v69)
           between f4785 and f7338
     - r12161 tested
           vertices: p54(v707) p691(v700) p920(v577)
           between f4785 and f14619
     - r15589 tested
           vertices: p373(v819) p691(v700) p920(v577)
           between f14619 and f4785
     - r22743 tested simplicialtop
           vertices: p155(v766) p286(v638) p658(v361)
           between f13163 and f4785
     - r21941 tested simplicialbot
           vertices: p949(v820) p395(v701) p664(v573)
           between f4785 and f14626
     - r22898 tested simplicialbot
           vertices: p328(v779) p802(v531) p795(v261)
           between f4785 and f13842
     - r20502 tested simplicialbot
           vertices: p736(v519) p144(v252) p941(v28)
           between f4785 and f8863
     - r9028 tested simplicialtop
           vertices: p599(v524) p471(v254) p810(v159)
           between f8955 and f4785
     - r21722 tested simplicialtop
           vertices: p599(v524) p681(v219) p215(v132)
           between f8971 and f4785
     - r19952 tested simplicialtop
           vertices: p573(v520) p736(v519) p144(v252)
           between f8890 and f4785
     - r1432 tested
           vertices: p930(v118) p947(v89) p908(v17)
           between f1583 and f4785
     - r1435 tested simplicialbot
           vertices: p930(v118) p947(v89) p834(v88)
           between f4785 and f1583
     - r19955 tested simplicialtop
           vertices: p823(v657) p573(v520) p144(v252)
           between f11309 and f4785
     - r20252 tested simplicialtop
           vertices: p337(v279) p845(v178) p791(v177)
           between f4320 and f4785
     - r20579 tested simplicialtop
           vertices: p736(v519) p681(v219) p941(v28)
           between f8858 and f4785
     - r20575 tested simplicialbot
           vertices: p599(v524) p681(v219) p941(v28)
           between f4785 and f8956
     - r21847 tested simplicialbot
           vertices: p596(v328) p681(v219) p215(v132)
           between f4785 and f5024
     - r20279 tested simplicialtop
           vertices: p553(v525) p253(v382) p471(v254)
           between f8976 and f4785
     - r21725 tested simplicialtop
           vertices: p599(v524) p215(v132) p270(v4)
           between f8969 and f4785
     - r21763 tested simplicialtop
           vertices: p68(v830) p235(v460) p834(v88)
           between f14738 and f4785
     - r22955 tested simplicialbot
           vertices: p462(v857) p746(v747) p221(v613)
           between f4785 and f16096
     - r14319 tested simplicialbot
           vertices: p235(v460) p596(v328) p215(v132)
           between f4785 and f7437
     - r22618 tested simplicialtop
           vertices: p550(v337) p994(v221) p270(v4)
           between f5189 and f4785
     - r14785 tested
           vertices: p164(v787) p242(v442) p884(v310)
           between f4785 and f9712
     - r11931 tested simplicialtop
           vertices: p545(v443) p242(v442) p884(v310)
           between f9712 and f4785
     - r11928 tested
           vertices: p403(v696) p545(v443) p884(v310)
           between f9712 and f4785
     - r22947 tested simplicialbot
           vertices: p842(v667) p388(v530) p740(v162)
           between f4785 and f11511
     - r15762 tested simplicialbot
           vertices: p900(v831) p976(v727) p998(v432)
           between f4785 and f14782
     - r8971 tested simplicialtop
           vertices: p736(v519) p121(v308) p292(v37)
           between f8876 and f4785
     - r22189 tested simplicialtop
           vertices: p947(v89) p292(v37) p908(v17)
           between f1090 and f4785
     - r8956 tested simplicialbot
           vertices: p736(v519) p834(v88) p292(v37)
           between f4785 and f8872
     - r3638 tested simplicialtop
           vertices: p947(v89) p834(v88) p292(v37)
           between f8872 and f4785
     - r22390 tested simplicialtop
           vertices: p235(v460) p596(v328) p834(v88)
           between f7439 and f4785
     - r9049 tested simplicialtop
           vertices: p599(v524) p341(v161) p721(v49)
           between f8958 and f4785
     - r22724 tested simplicialtop
           vertices: p112(v827) p917(v463) p351(v330)
           between f14703 and f4785
     - r20423 tested simplicialtop
           vertices: p494(v386) p902(v381) p211(v51)
           between f6126 and f4785
     - r22478 tested simplicialbot
           vertices: p736(v519) p596(v328) p834(v88)
           between f4785 and f8865
     - r21850 tested simplicialtop
           vertices: p736(v519) p596(v328) p681(v219)
           between f8861 and f4785
     - r23042 tested simplicialtop
           vertices: p827(v205) p946(v204) p753(v16)
           between f4799 and f4785
     - r22616 tested simplicialtop
           vertices: p295(v470) p550(v337) p18(v73)
           between f7605 and f4785
     - r23010 tested simplicialbot
           vertices: p882(v391) p888(v165) p521(v74)
           between f4785 and f6200
     - r22612 tested simplicialbot
           vertices: p84(v465) p550(v337) p994(v221)
           between f4785 and f7506
     - r22970 tested simplicialtop
           vertices: p882(v391) p540(v390) p807(v264)
           between f6196 and f4785
     - r21852 tested simplicialbot
           vertices: p852(v711) p994(v221) p270(v4)
           between f4785 and f12240
     - r12237 tested
           vertices: p165(v713) p852(v711) p994(v221)
           between f14687 and f4785
     - r15641 tested simplicialtop
           vertices: p162(v825) p165(v713) p994(v221)
           between f14687 and f4785
     - r15648 tested simplicialtop
           vertices: p162(v825) p994(v221) p697(v133)
           between f14687 and f4785
     - r23017 tested simplicialtop
           vertices: p852(v711) p83(v584) p270(v4)
           between f12241 and f4785
     - r21655 tested simplicialtop
           vertices: p440(v856) p777(v749) p815(v458)
           between f16082 and f4785
     - r22619 tested simplicialbot
           vertices: p550(v337) p215(v132) p270(v4)
           between f4785 and f5193
     - r9970 tested simplicialbot
           vertices: p548(v582) p215(v132) p18(v73)
           between f4785 and f9939
     - r19469 tested simplicialbot
           vertices: p634(v583) p147(v461) p329(v329)
           between f4785 and f9943
     - r14729 tested
           vertices: p251(v785) p769(v661) p884(v310)
           between f4785 and f11408
     - r14728 tested
           vertices: p251(v785) p571(v441) p884(v310)
           between f11408 and f4785
     - r23496 tested simplicialtop
           vertices: p432(v908) p655(v588) p249(v586)
           between f18416 and f4785
     - r21666 tested
           vertices: p356(v300) p930(v118) p292(v37)
           between f18433 and f4785
     - r23500 tested
           vertices: p934(v909) p356(v300) p930(v118)
           between f4785 and f18433
     - r22996 tested simplicialbot
           vertices: p236(v585) p202(v258) p760(v90)
           between f4785 and f9972
     - r21663 tested simplicialbot
           vertices: p930(v118) p292(v37) p908(v17)
           between f4785 and f1576
     - r22250 tested simplicialbot
           vertices: p916(v824) p655(v588) p249(v586)
           between f4785 and f14665
     - r22132 tested simplicialbot
           vertices: p916(v824) p354(v714) p165(v713)
           between f4785 and f14663
     - r22687 tested simplicialbot
           vertices: p366(v872) p832(v762) p605(v480)
           between f4785 and f16799
     - r22190 tested simplicialtop
           vertices: p162(v825) p354(v714) p165(v713)
           between f14690 and f4785
     - r22112 tested simplicialbot
           vertices: p665(v715) p354(v714) p249(v586)
           between f4785 and f12324
     - r22129 tested simplicialtop
           vertices: p916(v824) p354(v714) p249(v586)
           between f14662 and f4785
     - r22832 tested simplicialtop
           vertices: p951(v301) p821(v114) p621(v113)
           between f4645 and f4785
     - r23490 tested simplicialbot
           vertices: p432(v908) p631(v828) p99(v246)
           between f4785 and f18412
     - r21301 tested simplicialtop
           vertices: p665(v715) p448(v671) p396(v535)
           between f12322 and f4785
     - r20553 tested simplicialtop
           vertices: p665(v715) p354(v714) p533(v394)
           between f12323 and f4785
     - r21939 tested simplicialtop
           vertices: p762(v618) p25(v484) p99(v246)
           between f10569 and f4785
     - r20549 tested simplicialbot
           vertices: p354(v714) p533(v394) p627(v41)
           between f4785 and f12304
     - r12210 tested simplicialtop
           vertices: p165(v713) p236(v585) p270(v4)
           between f12280 and f4785
     - r12241 tested simplicialbot
           vertices: p165(v713) p580(v462) p270(v4)
           between f4785 and f12280
     - r12216 tested
           vertices: p165(v713) p923(v712) p236(v585)
           between f12280 and f4785
     - r12219 tested
           vertices: p165(v713) p923(v712) p351(v330)
           between f4785 and f12280
     - r20700 tested simplicialbot
           vertices: p923(v712) p236(v585) p760(v90)
           between f4785 and f14657
     - r11010 tested simplicialbot
           vertices: p415(v646) p202(v258) p341(v161)
           between f4785 and f11045
     - r11013 tested simplicialtop
           vertices: p415(v646) p494(v386) p341(v161)
           between f11046 and f4785
     - r20344 tested simplicialtop
           vertices: p790(v395) p728(v266) p627(v41)
           between f6259 and f4785
     - r22047 tested simplicialtop
           vertices: p882(v391) p888(v165) p578(v94)
           between f6194 and f4785
     - r20340 tested simplicialbot
           vertices: p26(v669) p790(v395) p728(v266)
           between f4785 and f11535
     - r21668 tested simplicialtop
           vertices: p777(v749) p570(v748) p221(v613)
           between f12892 and f4785
     - r21873 tested simplicialbot
           vertices: p833(v670) p739(v534) p103(v392)
           between f4785 and f11540
     - r21335 tested simplicialtop
           vertices: p26(v669) p750(v533) p728(v266)
           between f11526 and f4785
     - r21862 tested simplicialtop
           vertices: p26(v669) p790(v395) p94(v166)
           between f11534 and f4785
     - r22868 tested simplicialtop
           vertices: p128(v532) p635(v389) p807(v264)
           between f9065 and f4785
     - r21976 tested simplicialtop
           vertices: p528(v265) p606(v93) p95(v13)
           between f4120 and f4785
     - r22115 tested simplicialbot
           vertices: p635(v389) p606(v93) p49(v53)
           between f4785 and f6182
     - r22194 tested simplicialbot
           vertices: p833(v670) p26(v669) p750(v533)
           between f4785 and f11545
     - r21106 tested simplicialbot
           vertices: p739(v534) p962(v217) p399(v91)
           between f4785 and f9095
     - r21936 tested simplicialtop
           vertices: p833(v670) p26(v669) p528(v265)
           between f11544 and f4785
     - r22425 tested simplicialbot
           vertices: p26(v669) p528(v265) p94(v166)
           between f4785 and f11524
     - r21007 tested simplicialtop
           vertices: p475(v794) p833(v670) p739(v534)
           between f14099 and f4785
     - r23278 tested simplicialtop
           vertices: p44(v891) p902(v381) p338(v260)
           between f18209 and f4785
     - r22452 tested simplicialtop
           vertices: p739(v534) p103(v392) p399(v91)
           between f9096 and f4785
     - r22260 tested simplicialtop
           vertices: p750(v533) p389(v393) p932(v131)
           between f9090 and f4785
     - r23285 tested simplicialtop
           vertices: p974(v892) p927(v581) p389(v393)
           between f18217 and f4785
     - r23279 tested simplicialbot
           vertices: p44(v891) p66(v793) p338(v260)
           between f4785 and f18210
     - r20740 tested simplicialbot
           vertices: p762(v618) p25(v484) p530(v72)
           between f4785 and f10568
     - r22515 tested simplicialtop
           vertices: p475(v794) p739(v534) p962(v217)
           between f14098 and f4785
     - r21793 tested simplicialbot
           vertices: p774(v672) p927(v581) p932(v131)
           between f4785 and f11556
     - r22315 tested simplicialtop
           vertices: p85(v795) p774(v672) p396(v535)
           between f14295 and f4785
     - r21789 tested simplicialbot
           vertices: p927(v581) p389(v393) p932(v131)
           between f4785 and f9927
     - r22398 tested simplicialbot
           vertices: p85(v795) p774(v672) p932(v131)
           between f4785 and f14293
     - r22378 tested simplicialbot
           vertices: p85(v795) p448(v671) p396(v535)
           between f4785 and f14294
     - r22537 tested simplicialbot
           vertices: p475(v794) p927(v581) p962(v217)
           between f4785 and f14100
     - r21094 tested simplicialtop
           vertices: p750(v533) p533(v394) p728(v266)
           between f9088 and f4785
     - r21092 tested simplicialbot
           vertices: p533(v394) p728(v266) p627(v41)
           between f4785 and f6238
     - r22262 tested simplicialbot
           vertices: p750(v533) p533(v394) p932(v131)
           between f4785 and f9091
     - r21082 tested simplicialbot
           vertices: p635(v389) p528(v265) p606(v93)
           between f4785 and f6179
     - r22553 tested simplicialbot
           vertices: p103(v392) p399(v91) p95(v13)
           between f4785 and f6210
     - r21078 tested simplicialtop
           vertices: p635(v389) p528(v265) p94(v166)
           between f6180 and f4785
     - r22966 tested simplicialbot
           vertices: p646(v333) p840(v223) p391(v23)
           between f4785 and f5135
     - r3028 tested
           vertices: p413(v224) p840(v223) p391(v23)
           between f5135 and f4785
     - r20981 tested simplicialbot
           vertices: p385(v796) p774(v672) p396(v535)
           between f4785 and f14317
     - r21330 tested simplicialtop
           vertices: p385(v796) p762(v618) p99(v246)
           between f14323 and f4785
     - r22569 tested simplicialtop
           vertices: p128(v532) p625(v263) p49(v53)
           between f9063 and f4785
     - r23293 tested simplicialbot
           vertices: p23(v893) p440(v856) p677(v327)
           between f4785 and f18233
     - r22005 tested simplicialtop
           vertices: p385(v796) p746(v747) p762(v618)
           between f14316 and f4785
     - r22956 tested simplicialtop
           vertices: p462(v857) p385(v796) p815(v458)
           between f16093 and f4785
     - r22952 tested simplicialbot
           vertices: p462(v857) p777(v749) p815(v458)
           between f4785 and f16092
     - r21334 tested simplicialbot
           vertices: p385(v796) p396(v535) p99(v246)
           between f4785 and f14322
     - r23286 tested simplicialtop
           vertices: p974(v892) p475(v794) p927(v581)
           between f18218 and f4785
     - r22566 tested simplicialbot
           vertices: p128(v532) p635(v389) p49(v53)
           between f4785 and f9064
     - r19841 tested simplicialtop
           vertices: p790(v395) p882(v391) p807(v264)
           between f6254 and f4785
     - r20276 tested simplicialbot
           vertices: p123(v829) p754(v718) p958(v620)
           between f4785 and f14726
     - r22549 tested simplicialbot
           vertices: p790(v395) p882(v391) p627(v41)
           between f4785 and f6260
     - r22969 tested simplicialbot
           vertices: p882(v391) p540(v390) p578(v94)
           between f4785 and f6195
     - r20736 tested simplicialbot
           vertices: p746(v747) p762(v618) p530(v72)
           between f4785 and f12869
     - r22529 tested simplicialtop
           vertices: p448(v671) p533(v394) p932(v131)
           between f11552 and f4785
     - r22374 tested simplicialtop
           vertices: p85(v795) p448(v671) p932(v131)
           between f14292 and f4785
     - r21277 tested simplicialbot
           vertices: p749(v854) p482(v745) p343(v483)
           between f4785 and f16039
     - r21927 tested simplicialtop
           vertices: p687(v860) p486(v619) p343(v483)
           between f16121 and f4785
     - r21878 tested simplicialtop
           vertices: p512(v617) p876(v346) p622(v232)
           between f10565 and f4785
     - r22693 tested simplicialbot
           vertices: p872(v598) p269(v338) p986(v228)
           between f4785 and f10141
     - r21273 tested simplicialtop
           vertices: p482(v745) p343(v483) p622(v232)
           between f12830 and f4785
     - r20490 tested simplicialbot
           vertices: p445(v752) p958(v620) p864(v348)
           between f4785 and f12923
     - r21883 tested simplicialbot
           vertices: p687(v860) p749(v854) p343(v483)
           between f4785 and f16127
     - r21181 tested simplicialbot
           vertices: p687(v860) p445(v752) p864(v348)
           between f4785 and f16124
     - r22860 tested simplicialbot
           vertices: p626(v679) p893(v414) p35(v181)
           between f4785 and f11645
     - r22457 tested simplicialbot
           vertices: p482(v745) p277(v610) p622(v232)
           between f4785 and f12831
     - r22494 tested simplicialtop
           vertices: p486(v619) p512(v617) p343(v483)
           between f10581 and f4785
     - r21184 tested simplicialtop
           vertices: p687(v860) p445(v752) p486(v619)
           between f16122 and f4785
     - r22571 tested simplicialtop
           vertices: p838(v864) p710(v753) p486(v619)
           between f16152 and f4785
     - r22468 tested simplicialtop
           vertices: p687(v860) p749(v854) p864(v348)
           between f16126 and f4785
     - r20493 tested simplicialtop
           vertices: p262(v861) p445(v752) p958(v620)
           between f16134 and f4785
     - r22584 tested simplicialtop
           vertices: p123(v829) p631(v828) p25(v484)
           between f14731 and f4785
     - r21840 tested simplicialtop
           vertices: p832(v762) p277(v610) p876(v346)
           between f13074 and f4785
     - r22107 tested simplicialbot
           vertices: p512(v617) p343(v483) p622(v232)
           between f4785 and f10564
     - r22239 tested simplicialbot
           vertices: p927(v581) p677(v327) p962(v217)
           between f4785 and f9930
     - r21836 tested simplicialbot
           vertices: p277(v610) p876(v346) p622(v232)
           between f4785 and f10450
     - r20776 tested simplicialtop
           vertices: p777(v749) p682(v746) p856(v612)
           between f12889 and f4785
     - r22013 tested simplicialbot
           vertices: p798(v170) p638(v167) p476(v1)
           between f4785 and f2384
     - r20091 tested simplicialtop
           vertices: p747(v863) p710(v753) p570(v748)
           between f16143 and f4785
     - r20772 tested simplicialbot
           vertices: p440(v856) p777(v749) p682(v746)
           between f4785 and f16087
     - r22325 tested simplicialtop
           vertices: p382(v459) p677(v327) p962(v217)
           between f7429 and f4785
     - r21254 tested simplicialbot
           vertices: p682(v746) p856(v612) p255(v140)
           between f4785 and f12840
     - r21761 tested simplicialbot
           vertices: p971(v280) p845(v178) p194(v18)
           between f4785 and f4333
     - r23284 tested simplicialbot
           vertices: p974(v892) p475(v794) p833(v670)
           between f4785 and f18223
     - r20989 tested simplicialbot
           vertices: p440(v856) p682(v746) p677(v327)
           between f4785 and f16086
     - r21471 tested simplicialbot
           vertices: p856(v612) p876(v346) p255(v140)
           between f4785 and f10472
     - r21467 tested simplicialtop
           vertices: p134(v634) p876(v346) p255(v140)
           between f10820 and f4785
     - r22866 tested simplicialtop
           vertices: p747(v863) p856(v612) p612(v481)
           between f16145 and f4785
     - r22158 tested simplicialbot
           vertices: p832(v762) p134(v634) p876(v346)
           between f4785 and f13075
     - r21990 tested simplicialbot
           vertices: p777(v749) p570(v748) p856(v612)
           between f4785 and f12891
     - r22242 tested simplicialbot
           vertices: p246(v862) p710(v753) p512(v617)
           between f4785 and f16141
     - r20095 tested simplicialtop
           vertices: p747(v863) p570(v748) p856(v612)
           between f16146 and f4785
     - r22862 tested simplicialtop
           vertices: p512(v617) p612(v481) p876(v346)
           between f10566 and f4785
     - r22195 tested simplicialbot
           vertices: p838(v864) p746(v747) p530(v72)
           between f4785 and f16156
     - r22508 tested simplicialbot
           vertices: p710(v753) p486(v619) p512(v617)
           between f4785 and f12927
     - r21457 tested simplicialbot
           vertices: p262(v861) p486(v619) p530(v72)
           between f4785 and f16132
     - r22199 tested simplicialtop
           vertices: p262(v861) p25(v484) p530(v72)
           between f16131 and f4785
     - r22248 tested simplicialtop
           vertices: p838(v864) p486(v619) p530(v72)
           between f16151 and f4785
     - r21455 tested simplicialbot
           vertices: p262(v861) p445(v752) p486(v619)
           between f4785 and f16129
     - r22379 tested simplicialtop
           vertices: p262(v861) p123(v829) p25(v484)
           between f16133 and f4785
     - r21305 tested simplicialtop
           vertices: p665(v715) p396(v535) p99(v246)
           between f12318 and f4785
     - r22223 tested simplicialbot
           vertices: p665(v715) p448(v671) p533(v394)
           between f4785 and f12321
     - r23488 tested simplicialtop
           vertices: p569(v907) p112(v827) p61(v717)
           between f18404 and f4785
     - r20679 tested simplicialbot
           vertices: p838(v864) p570(v748) p221(v613)
           between f4785 and f16159
     - r20676 tested simplicialbot
           vertices: p838(v864) p710(v753) p570(v748)
           between f4785 and f16154
     - r21155 tested simplicialtop
           vertices: p838(v864) p746(v747) p221(v613)
           between f16158 and f4785
     - r23292 tested simplicialtop
           vertices: p23(v893) p927(v581) p677(v327)
           between f18232 and f4785
     - r22949 tested simplicialbot
           vertices: p66(v793) p842(v667) p338(v260)
           between f4785 and f14088
     - r22641 tested simplicialtop
           vertices: p460(v597) p295(v470) p329(v329)
           between f10125 and f4785
     - r22620 tested simplicialtop
           vertices: p550(v337) p215(v132) p18(v73)
           between f5195 and f4785
     - r22931 tested simplicialtop
           vertices: p634(v583) p235(v460) p267(v220)
           between f9944 and f4785
     - r12332 tested simplicialtop
           vertices: p548(v582) p295(v470) p18(v73)
           between f9937 and f4785
     - r22933 tested simplicialtop
           vertices: p460(v597) p329(v329) p267(v220)
           between f10127 and f4785
     - r22981 tested simplicialbot
           vertices: p197(v332) p840(v223) p158(v75)
           between f4785 and f5108
     - r12344 tested simplicialtop
           vertices: p548(v582) p147(v461) p329(v329)
           between f9935 and f4785
     - r12336 tested simplicialbot
           vertices: p548(v582) p295(v470) p329(v329)
           between f4785 and f9938
     - r22625 tested simplicialtop
           vertices: p634(v583) p147(v461) p215(v132)
           between f9946 and f4785
     - r22624 tested simplicialbot
           vertices: p634(v583) p235(v460) p215(v132)
           between f4785 and f9945
     - r9971 tested simplicialbot
           vertices: p548(v582) p147(v461) p215(v132)
           between f4785 and f9940
     - r22930 tested simplicialbot
           vertices: p186(v719) p73(v564) p267(v220)
           between f4785 and f12389
     - r22644 tested simplicialbot
           vertices: p460(v597) p295(v470) p550(v337)
           between f4785 and f10134
     - r22643 tested simplicialtop
           vertices: p460(v597) p84(v465) p550(v337)
           between f10133 and f4785
     - r20426 tested simplicialbot
           vertices: p494(v386) p902(v381) p338(v260)
           between f4785 and f6127
     - r22406 tested simplicialbot
           vertices: p553(v525) p902(v381) p211(v51)
           between f4785 and f8974
     - r20283 tested simplicialtop
           vertices: p553(v525) p471(v254) p211(v51)
           between f8973 and f4785
     - r23273 tested simplicialtop
           vertices: p44(v891) p737(v388) p902(v381)
           between f18212 and f4785
     - r23034 tested simplicialbot
           vertices: p649(v668) p802(v531) p785(v15)
           between f4785 and f11522
     - r22945 tested simplicialtop
           vertices: p842(v667) p180(v509) p740(v162)
           between f11512 and f4785
     - r22903 tested simplicialbot
           vertices: p828(v725) p575(v136) p222(v8)
           between f4785 and f12473
     - r22927 tested simplicialbot
           vertices: p68(v830) p235(v460) p267(v220)
           between f4785 and f14736
     - r21174 tested simplicialtop
           vertices: p865(v262) p693(v215) p584(v30)
           between f4078 and f4785
     - r23478 tested simplicialbot
           vertices: p569(v907) p754(v718) p655(v588)
           between f4785 and f18400
     - r20464 tested simplicialbot
           vertices: p102(v412) p693(v215) p584(v30)
           between f4785 and f6614
     - r20461 tested simplicialbot
           vertices: p102(v412) p628(v325) p693(v215)
           between f4785 and f6617
     - r21981 tested simplicialtop
           vertices: p865(v262) p399(v91) p95(v13)
           between f4070 and f4785
     - r21410 tested simplicialbot
           vertices: p865(v262) p693(v215) p606(v93)
           between f4785 and f4073
     - r20116 tested simplicialbot
           vertices: p102(v412) p584(v30) p194(v18)
           between f4785 and f6616
     - r20249 tested simplicialtop
           vertices: p102(v412) p337(v279) p791(v177)
           between f6624 and f4785
     - r22164 tested simplicialtop
           vertices: p865(v262) p376(v163) p399(v91)
           between f4071 and f4785
     - r20112 tested simplicialtop
           vertices: p102(v412) p791(v177) p194(v18)
           between f6623 and f4785
     - r22025 tested simplicialbot
           vertices: p865(v262) p376(v163) p584(v30)
           between f4785 and f4077
     - r21985 tested simplicialbot
           vertices: p865(v262) p606(v93) p95(v13)
           between f4785 and f4072
     - r22671 tested simplicialtop
           vertices: p693(v215) p606(v93) p49(v53)
           between f3043 and f4785
     - r21110 tested simplicialtop
           vertices: p382(v459) p962(v217) p399(v91)
           between f7428 and f4785
     - r22670 tested simplicialbot
           vertices: p833(v670) p103(v392) p95(v13)
           between f4785 and f11543
     - r22669 tested simplicialtop
           vertices: p833(v670) p528(v265) p95(v13)
           between f11542 and f4785
     - r21906 tested simplicialbot
           vertices: p276(v92) p244(v52) p476(v1)
           between f4785 and f1133
     - r22426 tested simplicialtop
           vertices: p971(v280) p797(v168) p276(v92)
           between f4329 and f4785
     - r20332 tested simplicialbot
           vertices: p321(v95) p276(v92) p476(v1)
           between f4785 and f1206
     - r20328 tested simplicialtop
           vertices: p797(v168) p321(v95) p276(v92)
           between f2361 and f4785
     - r23493 tested simplicialtop
           vertices: p432(v908) p631(v828) p754(v718)
           between f18410 and f4785
     - r22286 tested simplicialbot
           vertices: p123(v829) p631(v828) p754(v718)
           between f4785 and f14732
     - r20569 tested simplicialbot
           vertices: p923(v712) p231(v587) p917(v463)
           between f4785 and f12252
     - r20353 tested simplicialbot
           vertices: p916(v824) p165(v713) p351(v330)
           between f4785 and f14660
     - r23482 tested simplicialtop
           vertices: p569(v907) p453(v826) p522(v716)
           between f18397 and f4785
     - r21090 tested simplicialtop
           vertices: p522(v716) p231(v587) p917(v463)
           between f12343 and f4785
     - r20841 tested simplicialbot
           vertices: p839(v510) p801(v366) p811(v46)
           between f4785 and f8461
     - r22177 tested simplicialtop
           vertices: p916(v824) p61(v717) p351(v330)
           between f14661 and f4785
     - r22726 tested simplicialbot
           vertices: p112(v827) p61(v717) p351(v330)
           between f4785 and f14704
     - r23442 tested simplicialbot
           vertices: p804(v903) p268(v575) p703(v317)
           between f4785 and f18361
     - r22313 tested simplicialtop
           vertices: p832(v762) p672(v611) p277(v610)
           between f13078 and f4785
     - r22291 tested simplicialbot
           vertices: p916(v824) p61(v717) p655(v588)
           between f4785 and f14666
     - r20746 tested simplicialbot
           vertices: p522(v716) p231(v587) p594(v245)
           between f4785 and f12340
     - r20743 tested simplicialtop
           vertices: p970(v645) p231(v587) p594(v245)
           between f11035 and f4785
     - r20573 tested simplicialbot
           vertices: p923(v712) p970(v645) p231(v587)
           between f4785 and f12261
     - r22155 tested simplicialbot
           vertices: p923(v712) p917(v463) p351(v330)
           between f4785 and f12251
     - r20520 tested simplicialbot
           vertices: p453(v826) p522(v716) p801(v366)
           between f4785 and f14693
     - r21131 tested simplicialtop
           vertices: p522(v716) p801(v366) p594(v245)
           between f12342 and f4785
     - r22283 tested simplicialtop
           vertices: p698(v858) p839(v510) p801(v366)
           between f16104 and f4785
     - r23448 tested simplicialbot
           vertices: p804(v903) p339(v816) p293(v815)
           between f4785 and f18365
     - r21587 tested simplicialtop
           vertices: p641(v859) p749(v854) p72(v616)
           between f16117 and f4785
     - r22344 tested simplicialtop
           vertices: p453(v826) p423(v485) p81(v151)
           between f14696 and f4785
     - r21464 tested simplicialtop
           vertices: p453(v826) p754(v718) p423(v485)
           between f14697 and f4785
     - r21462 tested simplicialtop
           vertices: p754(v718) p958(v620) p423(v485)
           between f12374 and f4785
     - r21583 tested simplicialbot
           vertices: p641(v859) p207(v750) p72(v616)
           between f4785 and f16116
     - r21918 tested simplicialbot
           vertices: p641(v859) p423(v485) p81(v151)
           between f4785 and f16110
     - r22156 tested simplicialbot
           vertices: p641(v859) p749(v854) p864(v348)
           between f4785 and f16115
     - r20410 tested simplicialtop
           vertices: p641(v859) p423(v485) p864(v348)
           between f16114 and f4785
     - r20406 tested simplicialbot
           vertices: p958(v620) p423(v485) p864(v348)
           between f4785 and f10591
     - r22456 tested simplicialbot
           vertices: p453(v826) p801(v366) p81(v151)
           between f4785 and f14692
     - r21916 tested simplicialtop
           vertices: p641(v859) p207(v750) p81(v151)
           between f16111 and f4785
     - r21898 tested simplicialtop
           vertices: p698(v858) p207(v750) p8(v364)
           between f16102 and f4785
     - r22686 tested simplicialbot
           vertices: p832(v762) p672(v611) p605(v480)
           between f4785 and f13077
     - r22285 tested simplicialbot
           vertices: p698(v858) p839(v510) p213(v244)
           between f4785 and f16100
     - r21488 tested simplicialbot
           vertices: p698(v858) p207(v750) p81(v151)
           between f4785 and f16108
     - r21895 tested simplicialtop
           vertices: p698(v858) p8(v364) p213(v244)
           between f16101 and f4785
     - r21492 tested simplicialtop
           vertices: p698(v858) p801(v366) p81(v151)
           between f16107 and f4785
     - r20173 tested simplicialtop
           vertices: p644(v627) p961(v529) p8(v364)
           between f10692 and f4785
     - r21886 tested simplicialbot
           vertices: p961(v529) p213(v244) p811(v46)
           between f4785 and f9037
     - r20169 tested simplicialbot
           vertices: p961(v529) p8(v364) p213(v244)
           between f4785 and f9038
     - r20845 tested simplicialtop
           vertices: p839(v510) p213(v244) p811(v46)
           between f8460 and f4785
     - r22673 tested simplicialbot
           vertices: p801(v366) p594(v245) p811(v46)
           between f4785 and f5795
     - r21419 tested simplicialtop
           vertices: p644(v627) p8(v364) p281(v83)
           between f10690 and f4785
     - r21415 tested simplicialbot
           vertices: p176(v614) p8(v364) p281(v83)
           between f4785 and f10494
     - r22560 tested simplicialbot
           vertices: p903(v615) p176(v614) p895(v150)
           between f4785 and f10508
     - r21830 tested simplicialtop
           vertices: p383(v751) p176(v614) p8(v364)
           between f12911 and f4785
     - r21537 tested simplicialbot
           vertices: p644(v627) p895(v150) p281(v83)
           between f4785 and f10691
     - r21534 tested simplicialtop
           vertices: p176(v614) p895(v150) p281(v83)
           between f10492 and f4785
     - r21833 tested simplicialbot
           vertices: p383(v751) p207(v750) p8(v364)
           between f4785 and f12915
     - r22591 tested simplicialtop
           vertices: p383(v751) p207(v750) p72(v616)
           between f12916 and f4785
     - r22035 tested simplicialbot
           vertices: p749(v854) p72(v616) p55(v482)
           between f4785 and f16040
     - r21687 tested simplicialtop
           vertices: p749(v854) p482(v745) p55(v482)
           between f16038 and f4785
     - r21690 tested simplicialbot
           vertices: p482(v745) p55(v482) p438(v347)
           between f4785 and f12826
     - r22091 tested simplicialtop
           vertices: p903(v615) p55(v482) p438(v347)
           between f10507 and f4785
     - r22562 tested simplicialtop
           vertices: p383(v751) p903(v615) p176(v614)
           between f12910 and f4785
     - r22296 tested simplicialtop
           vertices: p383(v751) p72(v616) p55(v482)
           between f12908 and f4785
     - r22087 tested simplicialtop
           vertices: p903(v615) p438(v347) p895(v150)
           between f10506 and f4785
     - r22306 tested simplicialtop
           vertices: p482(v745) p277(v610) p438(v347)
           between f12827 and f4785
     - r22303 tested simplicialbot
           vertices: p672(v611) p277(v610) p438(v347)
           between f4785 and f10468
     - r22517 tested simplicialbot
           vertices: p383(v751) p903(v615) p55(v482)
           between f4785 and f12909
     - r23483 tested simplicialtop
           vertices: p569(v907) p522(v716) p917(v463)
           between f18406 and f4785
     - r15769 tested simplicialbot
           vertices: p68(v830) p154(v723) p153(v593)
           between f4785 and f14746
     - r20390 tested simplicialbot
           vertices: p122(v759) p368(v495) p97(v26)
           between f4785 and f13016
     - r22272 tested simplicialbot
           vertices: p473(v836) p481(v835) p805(v355)
           between f4785 and f18463
     - r22341 tested simplicialtop
           vertices: p481(v835) p547(v629) p368(v495)
           between f18457 and f4785
     - r22308 tested simplicialbot
           vertices: p481(v835) p200(v699) p368(v495)
           between f4785 and f18456
     - r22883 tested simplicialtop
           vertices: p366(v872) p108(v356) p392(v237)
           between f16796 and f4785
     - r22343 tested simplicialbot
           vertices: p122(v759) p547(v629) p368(v495)
           between f4785 and f13007
     - r22070 tested simplicialbot
           vertices: p776(v821) p436(v579) p166(v557)
           between f4785 and f14640
     - r22067 tested simplicialtop
           vertices: p436(v579) p166(v557) p477(v126)
           between f9904 and f4785
     - r22729 tested simplicialbot
           vertices: p374(v456) p715(v324) p457(v39)
           between f4785 and f7395
     - r21953 tested simplicialbot
           vertices: p436(v579) p870(v455) p477(v126)
           between f4785 and f9900
     - r22105 tested simplicialtop
           vertices: p166(v557) p455(v426) p477(v126)
           between f9486 and f4785
     - r23059 tested simplicialbot
           vertices: p817(v791) p931(v494) p667(v353)
           between f4785 and f14077
     - r20209 tested simplicialbot
           vertices: p776(v821) p779(v710) p436(v579)
           between f4785 and f14641
     - r21590 tested simplicialtop
           vertices: p361(v839) p484(v734) p307(v604)
           between f14896 and f4785
     - r20205 tested simplicialtop
           vertices: p776(v821) p779(v710) p306(v212)
           between f14635 and f4785
     - r22628 tested simplicialbot
           vertices: p870(v455) p38(v320) p477(v126)
           between f4785 and f7368
     - r22626 tested simplicialtop
           vertices: p38(v320) p477(v126) p457(v39)
           between f4911 and f4785
     - r22690 tested simplicialtop
           vertices: p779(v710) p305(v578) p306(v212)
           between f12238 and f4785
     - r22585 tested simplicialbot
           vertices: p779(v710) p305(v578) p846(v322)
           between f4785 and f12233
     - r20809 tested simplicialtop
           vertices: p870(v455) p688(v453) p412(v234)
           between f7371 and f4785
     - r21805 tested simplicialbot
           vertices: p715(v324) p991(v316) p510(v214)
           between f4785 and f7219
     - r22338 tested simplicialbot
           vertices: p870(v455) p846(v322) p412(v234)
           between f4785 and f7370
     - r20944 tested simplicialtop
           vertices: p779(v710) p436(v579) p870(v455)
           between f12231 and f4785
     - r20947 tested simplicialtop
           vertices: p779(v710) p870(v455) p846(v322)
           between f12230 and f4785
     - r22501 tested simplicialbot
           vertices: p122(v759) p152(v631) p805(v355)
           between f4785 and f13010
     - r15814 tested
           vertices: p205(v837) p473(v836) p152(v631)
           between f4785 and f14861
     - r15800 tested simplicialtop
           vertices: p473(v836) p152(v631) p805(v355)
           between f14861 and f4785
     - r20942 tested
           vertices: p783(v838) p205(v837) p152(v631)
           between f4785 and f14861
     - r14860 tested simplicialbot
           vertices: p228(v792) p644(v627) p961(v529)
           between f4785 and f14080
     - r22718 tested simplicialtop
           vertices: p688(v453) p38(v320) p457(v39)
           between f7334 and f4785
     - r7612 tested simplicialtop
           vertices: p74(v486) p731(v454) p412(v234)
           between f7869 and f4785
     - r20527 tested simplicialtop
           vertices: p142(v350) p151(v349) p412(v234)
           between f5394 and f4785
     - r22753 tested simplicialbot
           vertices: p488(v866) p142(v350) p151(v349)
           between f4785 and f16176
     - r7609 tested simplicialbot
           vertices: p74(v486) p151(v349) p412(v234)
           between f4785 and f7866
     - r22225 tested simplicialtop
           vertices: p731(v454) p846(v322) p412(v234)
           between f7341 and f4785
     - r22759 tested simplicialtop
           vertices: p409(v624) p688(v453) p454(v125)
           between f10638 and f4785
     - r22756 tested simplicialtop
           vertices: p488(v866) p940(v487) p151(v349)
           between f16173 and f4785
     - r22414 tested simplicialbot
           vertices: p859(v867) p507(v755) p940(v487)
           between f4785 and f16179
     - r19879 tested simplicialtop
           vertices: p430(v870) p742(v756) p871(v623)
           between f16783 and f4785
     - r19880 tested simplicialbot
           vertices: p430(v870) p742(v756) p507(v755)
           between f4785 and f16784
     - r19865 tested simplicialtop
           vertices: p829(v488) p142(v350) p412(v234)
           between f7907 and f4785
     - r20938 tested simplicialtop
           vertices: p783(v838) p205(v837) p484(v734)
           between f18482 and f4785
     - r23494 tested simplicialtop
           vertices: p432(v908) p665(v715) p99(v246)
           between f18414 and f4785
     - r23492 tested simplicialtop
           vertices: p432(v908) p754(v718) p655(v588)
           between f18409 and f4785
     - r22782 tested simplicialbot
           vertices: p409(v624) p536(v210) p454(v125)
           between f4785 and f10641
     - r19872 tested simplicialbot
           vertices: p789(v868) p285(v319) p536(v210)
           between f4785 and f16759
     - r22761 tested simplicialtop
           vertices: p474(v869) p507(v755) p142(v350)
           between f16773 and f4785
     - r12690 tested simplicialbot
           vertices: p766(v621) p940(v487) p151(v349)
           between f4785 and f10603
     - r20015 tested simplicialbot
           vertices: p688(v453) p278(v211) p457(v39)
           between f4785 and f7333
     - r22747 tested simplicialtop
           vertices: p555(v709) p305(v578) p846(v322)
           between f12227 and f4785
     - r23480 tested simplicialbot
           vertices: p569(v907) p453(v826) p754(v718)
           between f4785 and f18401
     - r22719 tested simplicialbot
           vertices: p870(v455) p688(v453) p38(v320)
           between f4785 and f7372
     - r22730 tested simplicialtop
           vertices: p374(v456) p715(v324) p278(v211)
           between f7391 and f4785
     - r22728 tested simplicialtop
           vertices: p374(v456) p278(v211) p457(v39)
           between f7390 and f4785
     - r22748 tested simplicialbot
           vertices: p555(v709) p305(v578) p731(v454)
           between f4785 and f12228
     - r22746 tested simplicialbot
           vertices: p555(v709) p731(v454) p846(v322)
           between f4785 and f12226
     - r7611 tested simplicialbot
           vertices: p74(v486) p731(v454) p245(v69)
           between f4785 and f7868
     - r22755 tested simplicialbot
           vertices: p488(v866) p507(v755) p142(v350)
           between f4785 and f16177
     - r22757 tested simplicialtop
           vertices: p488(v866) p507(v755) p940(v487)
           between f16174 and f4785
     - r22760 tested simplicialbot
           vertices: p409(v624) p688(v453) p412(v234)
           between f4785 and f10639
     - r22770 tested simplicialbot
           vertices: p474(v869) p829(v488) p142(v350)
           between f4785 and f16778
     - r22763 tested simplicialtop
           vertices: p474(v869) p742(v756) p507(v755)
           between f16774 and f4785
     - r22765 tested simplicialtop
           vertices: p474(v869) p789(v868) p742(v756)
           between f16776 and f4785
     - r22774 tested simplicialbot
           vertices: p474(v869) p409(v624) p829(v488)
           between f4785 and f16779
     - r7622 tested simplicialtop
           vertices: p74(v486) p630(v141) p245(v69)
           between f7872 and f4785
     - r7644 tested simplicialtop
           vertices: p74(v486) p151(v349) p630(v141)
           between f7873 and f4785
     - r7626 tested simplicialbot
           vertices: p630(v141) p245(v69) p784(v7)
           between f4785 and f1918
     - r12687 tested simplicialbot
           vertices: p766(v621) p630(v141) p784(v7)
           between f4785 and f10600
     - r12689 tested simplicialbot
           vertices: p766(v621) p151(v349) p630(v141)
           between f4785 and f10602
     - r19888 tested
           vertices: p789(v868) p122(v759) p854(v345)
           between f16757 and f4785
     - r19874 tested simplicialbot
           vertices: p789(v868) p122(v759) p285(v319)
           between f4785 and f16757
     - r22781 tested
           vertices: p122(v759) p152(v631) p854(v345)
           between f16757 and f4785
     - r22775 tested simplicialbot
           vertices: p474(v869) p789(v868) p409(v624)
           between f4785 and f16780
     - r22769 tested simplicialtop
           vertices: p409(v624) p829(v488) p412(v234)
           between f10636 and f4785
     - r19882 tested simplicialtop
           vertices: p430(v870) p859(v867) p507(v755)
           between f16787 and f4785
     - r19881 tested simplicialbot
           vertices: p430(v870) p859(v867) p871(v623)
           between f4785 and f16786
     - r23547 tested simplicialbot
           vertices: p830(v916) p742(v756) p871(v623)
           between f4785 and f18496
     - r22777 tested simplicialbot
           vertices: p783(v838) p152(v631) p854(v345)
           between f4785 and f18489
     - r22819 tested simplicialbot
           vertices: p553(v525) p253(v382) p104(v256)
           between f4785 and f8977
     - r22806 tested simplicialbot
           vertices: p328(v779) p461(v778) p702(v654)
           between f4785 and f13849
     - r22822 tested simplicialtop
           vertices: p328(v779) p723(v516) p795(v261)
           between f13843 and f4785
     - r23566 tested
           vertices: p177(v919) p952(v760) p982(v632)
           between f18526 and f4785
     - r23567 tested simplicialbot
           vertices: p177(v919) p952(v760) p37(v633)
           between f4785 and f18526
     - r23561 tested simplicialbot
           vertices: p172(v918) p380(v744) p781(v609)
           between f4785 and f18509
     - r22802 tested simplicialtop
           vertices: p926(v783) p560(v655) p559(v451)
           between f18091 and f4785
     - r22801 tested simplicialtop
           vertices: p926(v783) p559(v451) p137(v450)
           between f13920 and f4785
     - r22550 tested simplicialbot
           vertices: p438(v347) p895(v150) p904(v25)
           between f4785 and f5351
     - r22074 tested simplicialtop
           vertices: p672(v611) p605(v480) p904(v25)
           between f10467 and f4785
     - r7325 tested
           vertices: p111(v466) p201(v411) p483(v130)
           between f6606 and f4785
     - r7327 tested simplicialtop
           vertices: p201(v411) p370(v410) p483(v130)
           between f6606 and f4785
     - r22814 tested simplicialtop
           vertices: p662(v722) p356(v300) p558(v194)
           between f12442 and f4785
     - r22818 tested simplicialtop
           vertices: p936(v832) p662(v722) p850(v467)
           between f14786 and f4785
     - r22918 tested simplicialbot
           vertices: p802(v531) p902(v381) p785(v15)
           between f4785 and f9058
     - r22821 tested simplicialbot
           vertices: p34(v653) p723(v516) p795(v261)
           between f4785 and f11173
     - r22825 tested simplicialtop
           vertices: p328(v779) p461(v778) p723(v516)
           between f13848 and f4785
     - r22828 tested simplicialtop
           vertices: p951(v301) p590(v284) p42(v195)
           between f4648 and f4785
     - r22833 tested simplicialtop
           vertices: p354(v714) p943(v218) p627(v41)
           between f12308 and f4785
     - r9908 tested simplicialtop
           vertices: p21(v580) p506(v164) p182(v40)
           between f9910 and f4785
     - r22963 tested simplicialbot
           vertices: p646(v333) p182(v40) p222(v8)
           between f4785 and f5142
     - r2992 tested simplicialbot
           vertices: p888(v165) p578(v94) p391(v23)
           between f4785 and f2325
     - r22852 tested simplicialtop
           vertices: p87(v608) p214(v478) p393(v153)
           between f10399 and f4785
     - r6513 tested simplicialtop
           vertices: p756(v326) p727(v180) p863(v32)
           between f4994 and f4785
     - r22856 tested simplicialtop
           vertices: p64(v415) p370(v410) p863(v32)
           between f6685 and f4785
     - r22857 tested simplicialbot
           vertices: p626(v679) p35(v181) p2(v57)
           between f4785 and f11642
     - r22861 tested simplicialbot
           vertices: p626(v679) p335(v545) p893(v414)
           between f4785 and f11646
     - r22864 tested simplicialbot
           vertices: p856(v612) p612(v481) p876(v346)
           between f4785 and f10473
     - r20854 tested
           vertices: p832(v762) p579(v635) p108(v356)
           between f17992 and f4785
     - r20858 tested simplicialbot
           vertices: p832(v762) p579(v635) p134(v634)
           between f4785 and f17992
     - r21375 tested
           vertices: p960(v763) p579(v635) p478(v498)
           between f17992 and f4785
     - r21372 tested
           vertices: p579(v635) p134(v634) p478(v498)
           between f17992 and f4785
     - r22487 tested simplicialbot
           vertices: p772(v845) p579(v635) p108(v356)
           between f4785 and f15239
     - r22489 tested simplicialbot
           vertices: p772(v845) p960(v763) p579(v635)
           between f4785 and f15244
     - r20856 tested simplicialtop
           vertices: p366(v872) p832(v762) p108(v356)
           between f16797 and f4785
     - r21803 tested simplicialtop
           vertices: p747(v863) p246(v862) p710(v753)
           between f16149 and f4785
     - r22889 tested simplicialbot
           vertices: p258(v726) p196(v596) p223(v595)
           between f4785 and f12498
     - r22895 tested simplicialbot
           vertices: p492(v335) p355(v334) p310(v71)
           between f4785 and f5166
     - r22937 tested simplicialbot
           vertices: p223(v595) p684(v469) p504(v225)
           between f4785 and f10111
     - r22914 tested simplicialtop
           vertices: p553(v525) p902(v381) p785(v15)
           between f8979 and f4785
     - r22899 tested simplicialtop
           vertices: p328(v779) p802(v531) p737(v388)
           between f13844 and f4785
     - r23030 tested simplicialtop
           vertices: p823(v657) p144(v252) p120(v87)
           between f11312 and f4785
     - r22900 tested simplicialbot
           vertices: p144(v252) p810(v159) p941(v28)
           between f4785 and f3868
     - r9032 tested simplicialtop
           vertices: p599(v524) p810(v159) p941(v28)
           between f8963 and f4785
     - r9027 tested simplicialbot
           vertices: p253(v382) p471(v254) p810(v159)
           between f4785 and f6021
     - r7198 tested simplicialtop
           vertices: p11(v457) p989(v129) p310(v71)
           between f7398 and f4785
     - r7196 tested simplicialbot
           vertices: p989(v129) p310(v71) p222(v8)
           between f4785 and f1722
     - r12387 tested simplicialtop
           vertices: p828(v725) p355(v334) p222(v8)
           between f12474 and f4785
     - r7199 tested simplicialtop
           vertices: p355(v334) p310(v71) p222(v8)
           between f5152 and f4785
     - r22967 tested simplicialtop
           vertices: p646(v333) p506(v164) p391(v23)
           between f5138 and f4785
     - r23250 tested simplicialtop
           vertices: p6(v888) p141(v789) p922(v259)
           between f18165 and f4785
     - r22910 tested simplicialbot
           vertices: p66(v793) p671(v780) p388(v530)
           between f4785 and f14097
     - r14753 tested simplicialbot
           vertices: p556(v697) p403(v696) p545(v443)
           between f4785 and f12018
     - r22917 tested simplicialbot
           vertices: p553(v525) p104(v256) p785(v15)
           between f4785 and f8978
     - r23037 tested simplicialtop
           vertices: p649(v668) p802(v531) p795(v261)
           between f11520 and f4785
     - r15758 tested simplicialtop
           vertices: p451(v724) p196(v596) p197(v332)
           between f12467 and f4785
     - r15755 tested
           vertices: p900(v831) p451(v724) p196(v596)
           between f4785 and f12467
     - r23519 tested
           vertices: p996(v910) p900(v831) p196(v596)
           between f4785 and f12467
     - r15761 tested simplicialtop
           vertices: p900(v831) p451(v724) p998(v432)
           between f14781 and f4785
     - r23513 tested simplicialbot
           vertices: p934(v909) p936(v832) p662(v722)
           between f4785 and f18426
     - r15686 tested simplicialbot
           vertices: p154(v723) p73(v564) p998(v432)
           between f4785 and f12447
     - r15688 tested simplicialbot
           vertices: p976(v727) p154(v723) p998(v432)
           between f4785 and f12534
     - r15763 tested simplicialbot
           vertices: p451(v724) p998(v432) p197(v332)
           between f4785 and f12462
     - r22928 tested simplicialtop
           vertices: p68(v830) p73(v564) p267(v220)
           between f14734 and f4785
     - r22935 tested simplicialtop
           vertices: p186(v719) p460(v597) p267(v220)
           between f12392 and f4785
     - r22939 tested simplicialtop
           vertices: p828(v725) p223(v595) p684(v469)
           between f12476 and f4785
     - r22943 tested simplicialtop
           vertices: p684(v469) p492(v335) p355(v334)
           between f7603 and f4785
     - r22946 tested simplicialbot
           vertices: p842(v667) p180(v509) p338(v260)
           between f4785 and f11513
     - r22950 tested simplicialtop
           vertices: p66(v793) p842(v667) p388(v530)
           between f14092 and f4785
     - r22953 tested simplicialtop
           vertices: p462(v857) p777(v749) p221(v613)
           between f16097 and f4785
     - r22957 tested simplicialbot
           vertices: p462(v857) p385(v796) p746(v747)
           between f4785 and f16094
     - r22959 tested simplicialbot
           vertices: p599(v524) p471(v254) p721(v49)
           between f4785 and f8948
     - r22958 tested simplicialbot
           vertices: p471(v254) p211(v51) p721(v49)
           between f4785 and f3900
     - r9046 tested simplicialbot
           vertices: p599(v524) p341(v161) p270(v4)
           between f4785 and f8957
     - r9047 tested simplicialtop
           vertices: p341(v161) p211(v51) p721(v49)
           between f2266 and f4785
     - r9043 tested simplicialbot
           vertices: p494(v386) p341(v161) p211(v51)
           between f4785 and f6124
     - r22979 tested simplicialtop
           vertices: p223(v595) p575(v136) p158(v75)
           between f10092 and f4785
     - r9911 tested simplicialtop
           vertices: p506(v164) p578(v94) p391(v23)
           between f2319 and f4785
     - r22968 tested simplicialbot
           vertices: p646(v333) p506(v164) p182(v40)
           between f4785 and f5140
     - r22973 tested simplicialbot
           vertices: p186(v719) p170(v589) p73(v564)
           between f4785 and f12388
     - r22977 tested simplicialtop
           vertices: p186(v719) p170(v589) p84(v465)
           between f12391 and f4785
     - r22983 tested simplicialtop
           vertices: p646(v333) p840(v223) p158(v75)
           between f5146 and f4785
     - r22986 tested simplicialbot
           vertices: p186(v719) p460(v597) p450(v226)
           between f4785 and f12393
     - r22984 tested simplicialbot
           vertices: p460(v597) p84(v465) p450(v226)
           between f4785 and f10129
     - r22985 tested simplicialtop
           vertices: p186(v719) p84(v465) p450(v226)
           between f12390 and f4785
     - r21755 tested simplicialbot
           vertices: p45(v693) p706(v309) p127(v3)
           between f4785 and f11916
     - r22175 tested simplicialbot
           vertices: p901(v299) p610(v111) p127(v3)
           between f4785 and f4611
     - r4365 tested simplicialbot
           vertices: p220(v201) p558(v194) p127(v3)
           between f4785 and f4612
     - r4366 tested simplicialtop
           vertices: p901(v299) p558(v194) p127(v3)
           between f4612 and f4785
     - r22988 tested simplicialbot
           vertices: p201(v411) p901(v299) p558(v194)
           between f4785 and f6592
     - r22989 tested simplicialtop
           vertices: p197(v332) p840(v223) p873(v137)
           between f5109 and f4785
     - r22995 tested simplicialtop
           vertices: p170(v589) p73(v564) p873(v137)
           between f10026 and f4785
     - r22994 tested simplicialtop
           vertices: p73(v564) p197(v332) p873(v137)
           between f9675 and f4785
     - r22997 tested simplicialtop
           vertices: p415(v646) p202(v258) p760(v90)
           between f11047 and f4785
     - r23005 tested simplicialtop
           vertices: p888(v165) p521(v74) p391(v23)
           between f2324 and f4785
     - r23011 tested simplicialbot
           vertices: p199(v464) p882(v391) p521(v74)
           between f4785 and f7491
     - r23015 tested simplicialtop
           vertices: p84(v465) p826(v331) p697(v133)
           between f7502 and f4785
     - r23014 tested simplicialbot
           vertices: p84(v465) p994(v221) p697(v133)
           between f4785 and f7503
     - r19825 tested simplicialtop
           vertices: p128(v532) p540(v390) p625(v263)
           between f9062 and f4785
     - r19823 tested simplicialbot
           vertices: p540(v390) p625(v263) p578(v94)
           between f4785 and f6189
     - r19828 tested simplicialbot
           vertices: p128(v532) p540(v390) p807(v264)
           between f4785 and f9066
     - r23016 tested simplicialtop
           vertices: p83(v584) p580(v462) p270(v4)
           between f9956 and f4785
     - r23022 tested simplicialbot
           vertices: p992(v834) p883(v236) p163(v144)
           between f4785 and f14823
     - r23061 tested simplicialbot
           vertices: p817(v791) p659(v628) p931(v494)
           between f4785 and f14078
     - r16630 tested simplicialbot
           vertices: p387(v846) p699(v774) p701(v740)
           between f4785 and f15306
     - r16629 tested simplicialtop
           vertices: p387(v846) p699(v774) p988(v491)
           between f15305 and f4785
     - r23176 tested simplicialbot
           vertices: p7(v884) p539(v515) p106(v209)
           between f4785 and f18119
     - r23165 tested simplicialbot
           vertices: p146(v883) p422(v782) p595(v781)
           between f4785 and f18099
     - r23167 tested simplicialtop
           vertices: p146(v883) p422(v782) p268(v575)
           between f18096 and f4785
     - r23166 tested simplicialtop
           vertices: p146(v883) p268(v575) p703(v317)
           between f18095 and f4785
     - r23171 tested simplicialtop
           vertices: p7(v884) p539(v515) p359(v373)
           between f18109 and f4785
     - r23277 tested simplicialtop
           vertices: p44(v891) p66(v793) p671(v780)
           between f18215 and f4785
     - r23283 tested simplicialbot
           vertices: p974(v892) p833(v670) p750(v533)
           between f4785 and f18222
     - r23280 tested simplicialbot
           vertices: p974(v892) p750(v533) p389(v393)
           between f4785 and f18220
     - r23290 tested simplicialtop
           vertices: p23(v893) p440(v856) p815(v458)
           between f18230 and f4785
     - r23414 tested simplicialtop
           vertices: p116(v899) p741(v425) p185(v294)
           between f18325 and f4785
     - r23441 tested simplicialtop
           vertices: p465(v902) p263(v814) p595(v781)
           between f18357 and f4785
     - r23443 tested simplicialtop
           vertices: p804(v903) p957(v703) p703(v317)
           between f18362 and f4785
     - r23445 tested simplicialbot
           vertices: p804(v903) p293(v815) p268(v575)
           between f4785 and f18359
     - r23484 tested simplicialbot
           vertices: p569(v907) p112(v827) p917(v463)
           between f4785 and f18407
     - r23552 tested simplicialbot
           vertices: p830(v916) p859(v867) p484(v734)
           between f4785 and f18501
     - r23551 tested simplicialtop
           vertices: p830(v916) p859(v867) p871(v623)
           between f18500 and f4785
     - r23549 tested simplicialtop
           vertices: p830(v916) p742(v756) p854(v345)
           between f18493 and f4785
     - r23550 tested simplicialbot
           vertices: p830(v916) p783(v838) p854(v345)
           between f4785 and f18494
     - r23557 tested simplicialbot
           vertices: p27(v917) p93(v739) p307(v604)
           between f4785 and f18507
     - r23563 tested simplicialbot
           vertices: p172(v918) p972(v736) p620(v605)
           between f4785 and f18514
     - r23589 tested simplicialtop
           vertices: p177(v919) p772(v845) p983(v499)
           between f18533 and f4785
     - r23592 tested simplicialtop
           vertices: p177(v919) p967(v738) p240(v343)
           between f18529 and f4785
     - r23596 tested simplicialbot
           vertices: p987(v920) p683(v626) p988(v491)
           between f4785 and f18539
     - r23599 tested simplicialtop
           vertices: p987(v920) p588(v850) p417(v741)
           between f18545 and f4785
ERRONEOUS OTHER FACET:
- f18612
    - flags: top upperDelaunay newfacet newmerge
    - merges: 1
    - normal:  -2.799e-12 9.081e-12 1.386e-11        1
    - offset: -0.4998995
    - maxoutside: 5.306866e-14
    - vertices: p511(v924) p588(v850) p232(v757) p683(v626) p843(v490)
    - neighboring facets: f4785 f18613 f18614 f18617 f18616
    - ridges:
     - r22605 nonconvex simplicialtop
           vertices: p588(v850) p232(v757) p843(v490)
           between f18612 and f4785
     - r22606 nonconvex
           vertices: p588(v850) p232(v757) p683(v626)
           between f4785 and f18612
     - r23694 simplicialtop simplicialbot
           vertices: p511(v924) p232(v757) p843(v490)
           between f18613 and f18612
     - r23695 simplicialtop simplicialbot
           vertices: p511(v924) p588(v850) p843(v490)
           between f18612 and f18614
     - r23692 simplicialtop
           vertices: p511(v924) p588(v850) p683(v626)
           between f18617 and f18612
     - r23691 simplicialbot
           vertices: p511(v924) p232(v757) p683(v626)
           between f18612 and f18616

While executing: rbox 1000 s W1e-13 P0 t1607059695 | qhull d Qbb Qc Q12 Tv
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950465546  delaunay  Qbbound-last  Qcoplanar-keep  Q12-allow-wide
  Tverify  _pre-merge  _zero-centrum  Qinterior-keep  Pgood  _max-width  1
  Error-roundoff 1e-15  _one-merge 9.1e-15  Visible-distance 6e-15
  U-max-coplanar 6e-15  Width-outside 1.2e-14  _wide-facet 3.6e-14
  _maxoutside 2.2e-12
Last point added to hull was p511.  Last merge was #9178.

At error exit:

Delaunay triangulation by the convex hull of 1001 points in 4-d:

  Number of input sites: 924
  Total number of nearly incident points: 77
  Number of Delaunay regions: 1842

Statistics for: rbox 1000 s W1e-13 P0 t1607059695 | qhull d Qbb Qc Q12 Tv

  Number of points processed: 924
  Number of hyperplanes created: 16892
  Number of facets in hull: 2247
  Number of distance tests for qhull: 58516
  Number of distance tests for merging: 2385537
  Number of distance tests for checking: 0
  Number of merged facets: 9482
  Maximum distance of point above facet: 2.2e-12 (221.2x)
  Maximum distance of vertex below facet: -1.2e-12 (118.0x)


precision problems (corrected unless 'Q0' or an error)
    288 flipped facets
   1008 coplanar horizon facets for new vertices
     24 dupridges with flip facet into good neighbor
      1 dupridges with flip facet into good flip neighbor

A wide merge error has occurred.  Qhull has produced a wide facet due to facet merges and vertex merges.
This usually occurs when the input is nearly degenerate and substantial merging has occurred.
See http://www.qhull.org/html/qh-impre.htm#limit
rbox 1000 s W1e-13 t | qhull d Q12 Tv
QH7089 qhull precision warning: The initial hull is narrow.  Is the input lower
dimensional (e.g., a square in 3-d instead of a cube)?  Cosine of the minimum
angle is 1.0000000000000000.  If so, Qhull may produce a wide facet.
Options 'Qs' (search all points), 'Qbb' (scale last coordinate), or
'QbB' (scale to unit box) may remove this warning.
See 'Limitations' in qh-impre.htm.  Use 'Pp' to skip this warning.

Delaunay triangulation by the convex hull of 1000 points in 4-d:

  Number of input sites: 116
  Total number of deleted points due to merging: 666
  Total number of nearly incident points: 218
  Number of Delaunay regions: 85
  Number of non-simplicial Delaunay regions: 20

Statistics for: rbox 1000 s W1e-13 t1607059695 | qhull d Q12 Tv

  Number of points processed: 782
  Number of hyperplanes created: 10127
  Number of facets in hull: 187
  Number of distance tests for qhull: 2962317
  Number of distance tests for merging: 2982678
  Number of distance tests for checking: 162285
  Number of merged facets: 8737
  CPU seconds to compute hull (after input): 0.4662
  Maximum distance of point above facet: 1.6e-14 (1.6x)
  Maximum distance of vertex below facet: -4.5e-14 (4.5x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 85000 distance computations.
rbox 1000 s W1e-13 t D2 | qhull d Tv
QH7089 qhull precision warning: The initial hull is narrow.  Is the input lower
dimensional (e.g., a square in 3-d instead of a cube)?  Cosine of the minimum
angle is 1.0000000000000000.  If so, Qhull may produce a wide facet.
Options 'Qs' (search all points), 'Qbb' (scale last coordinate), or
'QbB' (scale to unit box) may remove this warning.
See 'Limitations' in qh-impre.htm.  Use 'Pp' to skip this warning.

Delaunay triangulation by the convex hull of 1000 points in 3-d:

  Number of input sites: 982
  Total number of deleted points due to merging: 7
  Total number of nearly incident points: 11
  Number of Delaunay regions: 716
  Number of non-simplicial Delaunay regions: 135

Statistics for: rbox 1000 s W1e-13 D2 t1607059695 | qhull d Tv

  Number of points processed: 989
  Number of hyperplanes created: 4098
  Number of facets in hull: 1446
  Number of distance tests for qhull: 52441
  Number of distance tests for merging: 44095
  Number of distance tests for checking: 100381
  Number of merged facets: 982
  CPU seconds to compute hull (after input): 0.02817
  Maximum distance of point above facet: 1.8e-13 (32.5x)
  Maximum distance of vertex below facet: -7e-15 (1.3x)


Output completed.  Verifying that all points are below outer planes of
all facets.  Will make 716000 distance computations.

set +v
=== check Qhull without merging Q0 Fri Dec 4 05:28:16 UTC 2020
rbox c D7 | qhull Q0 Tcv

Convex hull of 128 points in 7-d:

  Number of vertices: 128
  Number of facets: 8666

Statistics for: rbox c D7 | qhull Q0 Tcv

  Number of points processed: 128
  Number of hyperplanes created: 12287
  Number of distance tests for qhull: 26353
  CPU seconds to compute hull (after input): 0.05259


precision problems (corrected unless 'Q0' or an error)
  41888 coplanar half ridges in output
  10185 coplanar horizon facets for new vertices
   8389 nearly singular or axis-parallel hyperplanes
   8389 zero divisors during back substitute
  11903 zero divisors during gaussian elimination

qhull output completed.  Verifying that 128 points are
below 6.6e-15 of the nearest facet.
rbox 100 s D3 | qhull Q0 E1e-3 Tc Po
QH6115 qhull precision error: f100 is concave to f247, since p44(v13) is 0.002232 above f247
QH6115 qhull precision error: f139 is concave to f274, since p90(v32) is 0.007128 above f274
QH6115 qhull precision error: f163 is concave to f232, since p5(v6) is 0.001226 above f232
QH6115 qhull precision error: f293 is concave to f389, since p11(v61) is 0.002161 above f389
QH6115 qhull precision error: f307 is concave to f459, since p75(v21) is 0.01537 above f459

Convex hull of 100 points in 3-d:

  Number of vertices: 100
  Number of facets: 196

Statistics for: rbox 100 s D3 | qhull Q0 E1e-3 Tc Po

  Number of points processed: 100
  Number of hyperplanes created: 508
  Number of distance tests for qhull: 1727
  CPU seconds to compute hull (after input): 0.004749


precision problems (corrected unless 'Q0' or an error)
     16 coplanar half ridges in output
      5 concave half ridges in output
     18 coplanar horizon facets for new vertices
rbox 100 s D3 | qhull Q0 E1e-2 Tc Po
QH6115 qhull precision error: f123 is concave to f235, since p85(v8) is 0.06092 above f235
QH6115 qhull precision error: f177 is concave to f272, since p98(v20) is 0.03571 above f272
QH6115 qhull precision error: f246 is concave to f252, since p7(v57) is 0.02104 above f252
QH6115 qhull precision error: f261 is concave to f305, since p82(v60) is 0.01847 above f305
QH6115 qhull precision error: f266 is concave to f317, since p82(v60) is 0.02592 above f317

Convex hull of 100 points in 3-d:

  Number of vertices: 72
  Number of facets: 140

Statistics for: rbox 100 s D3 | qhull Q0 E1e-2 Tc Po

  Number of points processed: 72
  Number of hyperplanes created: 321
  Number of distance tests for qhull: 1664
  CPU seconds to compute hull (after input): 0.002607


precision problems (corrected unless 'Q0' or an error)
     52 coplanar half ridges in output
      5 concave half ridges in output
     54 coplanar horizon facets for new vertices
     27 coplanar points during partitioning
rbox 100 s D3 | qhull Q0 E1e-1 Tc Po

Convex hull of 100 points in 3-d:

  Number of vertices: 10
  Number of facets: 16

Statistics for: rbox 100 s D3 | qhull Q0 E1e-1 Tc Po

  Number of points processed: 10
  Number of hyperplanes created: 27
  Number of distance tests for qhull: 917
  CPU seconds to compute hull (after input): 0.000198


precision problems (corrected unless 'Q0' or an error)
      3 coplanar half ridges in output
      3 coplanar horizon facets for new vertices
     59 coplanar points during partitioning
rbox 100 s D3 | qhull Q0 R1e-3 Tc Po
QH6115 qhull precision error: f94 is concave to f270, since p44(v13) is 0.003303 above f270
QH6115 qhull precision error: f157 is concave to f255, since p5(v6) is 0.005886 above f255
QH6115 qhull precision error: f289 is concave to f386, since p30(v62) is 0.000726 above f386
QH6115 qhull precision error: f381 is concave to f293, since p56(v79) is 0.0006018 above f293

Convex hull of 100 points in 3-d:

  Number of vertices: 100
  Number of facets: 196

Statistics for: rbox 100 s D3 | qhull Q0 R1e-3 Tc Po

  Number of points processed: 100
  Number of hyperplanes created: 498
  Number of distance tests for qhull: 1643
  CPU seconds to compute hull (after input): 0.004916


precision problems (corrected unless 'Q0' or an error)
     10 coplanar half ridges in output
      4 concave half ridges in output
     10 coplanar horizon facets for new vertices
rbox 100 s D3 | qhull Q0 R1e-2 Tc Po
QH6115 qhull precision error: f78 is concave to f147, since p57(v1) is 0.01085 above f147
QH6115 qhull precision error: f89 is concave to f194, since p17(v2) is 0.0111 above f194
QH6115 qhull precision error: f106 is concave to f122, since p74(v27) is 0.01501 above f122
QH6115 qhull precision error: f122 is concave to f106, since p95(v30) is 0.00822 above f106
QH6115 qhull precision error: f126 is concave to f213, since p95(v30) is 0.007437 above f213
QH6115 qhull precision error: f141 is concave to f288, since p81(v34) is 0.007157 above f288
QH6115 qhull precision error: f147 is concave to f227, since p90(v19) is 0.1078 above f227
QH6115 qhull precision error: f161 is concave to f252, since p20(v24) is 0.008976 above f252
QH6115 qhull precision error: f176 is concave to f277, since p38(v22) is 0.008285 above f277
QH6115 qhull precision error: f181 is concave to f276, since p73(v12) is 0.02209 above f276
QH6115 qhull precision error: f186 is concave to f291, since p85(v8) is 0.04316 above f291
QH6115 qhull precision error: f194 is concave to f89, since p82(v45) is 0.009743 above f89
QH6115 qhull precision error: f198 is concave to f273, since p82(v45) is 0.01834 above f273
QH6115 qhull precision error: f213 is concave to f126, since p93(v48) is 0.01071 above f126
QH6115 qhull precision error: f227 is concave to f147, since p37(v51) is 0.007006 above f147
QH6115 qhull precision error: f273 is concave to f198, since p29(v60) is 0.006128 above f198
QH6115 qhull precision error: f288 is concave to f141, since p96(v63) is 0.005493 above f141
QH6115 qhull precision error: f291 is concave to f186, since p34(v64) is 0.008643 above f186
QH6115 qhull precision error: f300 is concave to f355, since p30(v66) is 0.006345 above f355
QH6115 qhull precision error: f324 is concave to f384, since p75(v20) is 0.02388 above f384
QH6115 qhull precision error: f361 is concave to f406, since p41(v5) is 0.009438 above f406
QH6115 qhull precision error: f368 is concave to f367, since p11(v69) is 0.007227 above f367
QH6115 qhull precision error: f390 is concave to f391, since p99(v73) is 0.007279 above f391
QH6115 qhull precision error: f391 is concave to f390, since p43(v74) is 0.01052 above f390

Convex hull of 100 points in 3-d:

  Number of vertices: 88
  Number of facets: 172

Statistics for: rbox 100 s D3 | qhull Q0 R1e-2 Tc Po

  Number of points processed: 88
  Number of hyperplanes created: 413
  Number of distance tests for qhull: 1702
  CPU seconds to compute hull (after input): 0.003945


precision problems (corrected unless 'Q0' or an error)
     49 coplanar half ridges in output
     24 concave half ridges in output
     53 coplanar horizon facets for new vertices
     12 coplanar points during partitioning
rbox 100 s D3 | qhull Q0 R0.05 Tc
QH6136 qhull precision error: facet f193 is flipped, distance= 0.391655882694
ERRONEOUS FACET:
- f193
    - flags: top simplicial flipped
    - normal:   -0.2813  -0.9389   0.1981
    - offset:  0.2910058
    - vertices: p19(v46) p65(v35) p74(v28)
    - neighboring facets: f183 f194 f195

A flipped facet occurs when its distance to the interior point is
greater than or equal to -0.024, the maximum roundoff error.

While executing: rbox 100 s D3 | qhull Q0 R0.05 Tc
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950482353  Q0-no-premerge  Random-perturb 0.05  Tcheck-frequently
  _max-width 0.94  Error-roundoff 0.024  Visible-distance 0.024
  U-max-coplanar 0.024  Width-outside 0.048  _wide-facet 0.15  _maxoutside 0.19
Last point added to hull was p19.
Qhull has finished constructing the hull.

At error exit:

Convex hull of 100 points in 3-d:

  Number of vertices: 46
  Number of facets: 88

Statistics for: rbox 100 s D3 | qhull Q0 R0.05 Tc

  Number of points processed: 46
  Number of hyperplanes created: 196
  Number of distance tests for qhull: 2023
  CPU seconds to compute hull (after input): 0.001505


precision problems (corrected unless 'Q0' or an error)
      1 flipped facets
     34 coplanar horizon facets for new vertices
     51 coplanar points during partitioning

Precision problems were detected during construction of the convex hull.
This occurs because convex hull algorithms assume that calculations are
exact, but floating-point arithmetic has roundoff errors.

To correct for precision problems, do not use 'Q0'.  By default, Qhull
selects 'C-0' or 'Qx' and merges non-convex facets.  With option 'QJ',
Qhull joggles the input to prevent precision problems.  See "Imprecision
in Qhull" (qh-impre.htm).

If you use 'Q0', the output may include
coplanar ridges, concave ridges, and flipped facets.  In 4-d and higher,
Qhull may produce a ridge with four neighbors or two facets with the same 
vertices.  Qhull reports these events when they occur.  It stops when a
concave ridge, flipped facet, or duplicate facet occurs.

If you need triangular output:
  - use option 'Qt' to triangulate the output
  - use option 'QJ' to joggle the input points and remove precision errors
  - use option 'Ft'.  It triangulates non-simplicial facets with added points.

If you must use 'Q0',
try one or more of the following options.  They can not guarantee an output.
  - use 'QbB' to scale the input to a cube.
  - use 'Po' to produce output and prevent partitioning for flipped facets
  - use 'V0' to set min. distance to visible facet as 0 instead of roundoff
  - use 'En' to specify a maximum roundoff error less than 0.024.
  - options 'Qf', 'Qbb', and 'QR0' may also help

To guarantee simplicial output:
  - use option 'Qt' to triangulate the output
  - use option 'QJ' to joggle the input points and remove precision errors
  - use option 'Ft' to triangulate the output by adding points
  - use exact arithmetic (see "Imprecision in Qhull", qh-impre.htm)
rbox 100 s D3 | qhull Q0 R0.05 Tc Po
QH6136 qhull precision error: facet f193 is flipped, distance= 0.391655882694
QH6115 qhull precision error: f119 is concave to f134, since p31(v31) is 0.05178 above f134
QH6115 qhull precision error: f124 is concave to f131, since p5(v6) is 0.1065 above f131
QH6115 qhull precision error: f147 is concave to f91, since p69(v36) is 0.0354 above f91
QH6113 qhull precision error: f193 is flipped (interior point is outside)

Convex hull of 100 points in 3-d:

  Number of vertices: 46
  Number of facets: 88

Statistics for: rbox 100 s D3 | qhull Q0 R0.05 Tc Po

  Number of points processed: 46
  Number of hyperplanes created: 196
  Number of distance tests for qhull: 2023
  CPU seconds to compute hull (after input): 0.001425


precision problems (corrected unless 'Q0' or an error)
     35 coplanar half ridges in output
      3 concave half ridges in output
      1 flipped facets
     34 coplanar horizon facets for new vertices
     51 coplanar points during partitioning
rbox 1000 W1e-7 | qhull Q0 Tc Po

Convex hull of 1000 points in 3-d:

  Number of vertices: 164
  Number of facets: 324

Statistics for: rbox 1000 W1e-7 | qhull Q0 Tc Po

  Number of points processed: 221
  Number of hyperplanes created: 1160
  Number of distance tests for qhull: 22590
  CPU seconds to compute hull (after input): 0.01895

rbox 50 s | qhull Q0 V0.05 W0.01 Tc Po
QH7088 Qhull precision warning: in post-processing (qh_check_maxout) p0 for f36 is 0.061 above hidden facet f70 nearest vertices 0.15
QH7088 Qhull precision warning: in post-processing (qh_check_maxout) p8 for f38 is 0.26 above hidden facet f145 nearest vertices 0.14
QH6297 Qhull precision error (qh_check_maxout): large increase in qh.max_outside during post-processing dist 0.26 (46669910714866.6x).  See warning QH0032/QH0033.  Allow with 'Q12' (allow-wide) and 'Pp'
ERRONEOUS FACET:
- f145
    - flags: top simplicial
    - normal:   -0.6276   0.1677  -0.7602
    - offset: -0.2196772
    - maxoutside:  0.2588526
    - vertices: p2(v43) p0(v13) p24(v6)
    - neighboring facets: f39 f146 f147
ERRONEOUS and NEIGHBORING FACETS to output

While executing: rbox 50 s | qhull Q0 V0.05 W0.01 Tc Po
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950482353  Q0-no-premerge  Visible 0.05  W-outside 0.01
  Tcheck-frequently  Poutput-forced  _max-width 0.98  Error-roundoff 6.9e-16
  _near-inside 2.4e-14  U-max-coplanar 0.05  _wide-facet 0.3  _maxoutside 0.01
Last point added to hull was p10.

At error exit:

Convex hull of 50 points in 3-d:

  Number of vertices: 50
  Number of facets: 96

Statistics for: rbox 50 s | qhull Q0 V0.05 W0.01 Tc Po

  Number of points processed: 50
  Number of hyperplanes created: 171
  Number of distance tests for qhull: 538


precision problems (corrected unless 'Q0' or an error)
      7 flipped facets
     82 coplanar horizon facets for new vertices

Precision problems were detected during construction of the convex hull.
This occurs because convex hull algorithms assume that calculations are
exact, but floating-point arithmetic has roundoff errors.

To correct for precision problems, do not use 'Q0'.  By default, Qhull
selects 'C-0' or 'Qx' and merges non-convex facets.  With option 'QJ',
Qhull joggles the input to prevent precision problems.  See "Imprecision
in Qhull" (qh-impre.htm).

If you use 'Q0', the output may include
coplanar ridges, concave ridges, and flipped facets.  In 4-d and higher,
Qhull may produce a ridge with four neighbors or two facets with the same 
vertices.  Qhull reports these events when they occur.  It stops when a
concave ridge, flipped facet, or duplicate facet occurs.

If you need triangular output:
  - use option 'Qt' to triangulate the output
  - use option 'QJ' to joggle the input points and remove precision errors
  - use option 'Ft'.  It triangulates non-simplicial facets with added points.

If you must use 'Q0',
try one or more of the following options.  They can not guarantee an output.
  - use 'QbB' to scale the input to a cube.
  - use 'Po' to produce output and prevent partitioning for flipped facets
  - use 'V0' to set min. distance to visible facet as 0 instead of roundoff
  - use 'En' to specify a maximum roundoff error less than 6.9e-16.
  - options 'Qf', 'Qbb', and 'QR0' may also help

To guarantee simplicial output:
  - use option 'Qt' to triangulate the output
  - use option 'QJ' to joggle the input points and remove precision errors
  - use option 'Ft' to triangulate the output by adding points
  - use exact arithmetic (see "Imprecision in Qhull", qh-impre.htm)
rbox 100 s D5 | qhull Q0 R1e-2 Tc Po
QH6107 qhull topology error: facets f721, f756 and f722 meet at a ridge with more than 2 neighbors.  Can not continue due to no qh.PREmerge and no 'Qx' (MERGEexact)
ERRONEOUS FACET:
- f721
    - flags: bottom simplicial newfacet
    - offset:          0
    - vertices: p84(v29) p2(v19) p58(v12) p3(v7) p9(v2)
    - neighboring facets: f362 f720 f728 f722 f740
ERRONEOUS OTHER FACET:
- f756
    - flags: top simplicial newfacet
    - offset:          0
    - vertices: p84(v29) p40(v26) p2(v19) p58(v12) p9(v2)
    - neighboring facets: f566
ERRONEOUS and NEIGHBORING FACETS to output

While executing: rbox 100 s D5 | qhull Q0 R1e-2 Tc Po
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950482353  Q0-no-premerge  Random-perturb 0.01  Tcheck-frequently
  Poutput-forced  _max-width 0.88  Error-roundoff 0.0045
  Visible-distance 0.0045  U-max-coplanar 0.0045  Width-outside 0.009
  _wide-facet 0.027  _maxoutside 0.054
Last point added to hull was p84.

Convex hull of 100 points in 5-d:

  Number of vertices: 29
  Number of facets: 340

Statistics for: rbox 100 s D5 | qhull Q0 R1e-2 Tc Po

  Number of points processed: 28
  Number of hyperplanes created: 720
  Number of distance tests for qhull: 2275


precision problems (corrected unless 'Q0' or an error)
      1 flipped facets
     24 coplanar horizon facets for new vertices

Precision problems were detected during construction of the convex hull.
This occurs because convex hull algorithms assume that calculations are
exact, but floating-point arithmetic has roundoff errors.

To correct for precision problems, do not use 'Q0'.  By default, Qhull
selects 'C-0' or 'Qx' and merges non-convex facets.  With option 'QJ',
Qhull joggles the input to prevent precision problems.  See "Imprecision
in Qhull" (qh-impre.htm).

If you use 'Q0', the output may include
coplanar ridges, concave ridges, and flipped facets.  In 4-d and higher,
Qhull may produce a ridge with four neighbors or two facets with the same 
vertices.  Qhull reports these events when they occur.  It stops when a
concave ridge, flipped facet, or duplicate facet occurs.

If you need triangular output:
  - use option 'Qt' to triangulate the output
  - use option 'QJ' to joggle the input points and remove precision errors
  - use option 'Ft'.  It triangulates non-simplicial facets with added points.

If you must use 'Q0',
try one or more of the following options.  They can not guarantee an output.
  - use 'QbB' to scale the input to a cube.
  - use 'Po' to produce output and prevent partitioning for flipped facets
  - use 'V0' to set min. distance to visible facet as 0 instead of roundoff
  - use 'En' to specify a maximum roundoff error less than 0.0045.
  - options 'Qf', 'Qbb', and 'QR0' may also help

To guarantee simplicial output:
  - use option 'Qt' to triangulate the output
  - use option 'QJ' to joggle the input points and remove precision errors
  - use option 'Ft' to triangulate the output by adding points
  - use exact arithmetic (see "Imprecision in Qhull", qh-impre.htm)

set +v
=== check nearly incident points Fri Dec 4 05:28:16 UTC 2020
rbox L100 2000 D4 s C1,1e-13 t2 | qhull

Convex hull of 4000 points in 4-d:

  Number of vertices: 2096
  Number of facets: 13614
  Number of non-simplicial facets: 52

Statistics for: rbox L100 2000 D4 s C1,1e-13 t2 | qhull

  Number of points processed: 2111
  Number of hyperplanes created: 51581
  Number of distance tests for qhull: 585497
  Number of distance tests for merging: 267217
  Number of distance tests for checking: 152193
  Number of merged facets: 129
  CPU seconds to compute hull (after input): 0.1945
  Maximum distance of point above facet: 1.8e-14 (1.9x)
  Maximum distance of vertex below facet: -8.9e-15 (0.9x)

rbox L100 2000 D4 s C1,1e-13 t2 | qhull Q12

Convex hull of 4000 points in 4-d:

  Number of vertices: 2096
  Number of facets: 13614
  Number of non-simplicial facets: 52

Statistics for: rbox L100 2000 D4 s C1,1e-13 t2 | qhull Q12

  Number of points processed: 2111
  Number of hyperplanes created: 51581
  Number of distance tests for qhull: 585497
  Number of distance tests for merging: 267217
  Number of distance tests for checking: 152193
  Number of merged facets: 129
  CPU seconds to compute hull (after input): 0.1995
  Maximum distance of point above facet: 1.8e-14 (1.9x)
  Maximum distance of vertex below facet: -8.9e-15 (0.9x)

rbox 50 C1,1E-13 t1447644703 | qhull d
QH6271 qhull topology error (qh_check_dupridge): wide merge (1125070907263.1x wider) due to dupridge between f1143 and f1169 (vertex dist 6.5e-14), merge dist 0.015, while processing p54
- Allow error with option 'Q12'
- Experimental option merge-pinched-vertices ('Q14') may avoid this error.  It merges nearly adjacent vertices.
- A bounding box for the input sites may alleviate this error.
ERRONEOUS FACET:
- f1143
    - flags: bottom upperDelaunay newfacet dupridge mergeridge2 flipped
    - normal:    0.2935   0.3842   0.4668   0.7405
    - offset: 0.05514914
    - vertices: p54(v76) p45(v56) p76(v36) p44(v19)
    - neighboring facets: f405 f1159 f1169 f1144
    - ridges:
     - r576 tested simplicialbot
           vertices: p45(v56) p76(v36) p44(v19)
           between f405 and f1143
     - r1072 simplicialtop simplicialbot
           vertices: p54(v76) p76(v36) p44(v19)
           between f1143 and f1159
     - r1073 simplicialbot
           vertices: p54(v76) p45(v56) p44(v19)
           between f1169 and f1143
     - r1074 simplicialtop simplicialbot
           vertices: p54(v76) p45(v56) p76(v36)
           between f1143 and f1144
ERRONEOUS OTHER FACET:
- f1169
    - flags: bottom upperDelaunay newfacet dupridge mergeridge1 flipped
    - normal:   -0.3214   0.1166   0.5495   0.7623
    - offset:   0.114967
    - vertices: p54(v76) p45(v56) p44(v19) p92(v11)
    - neighboring facets: f405 f1159 f1170 f1143
    - ridges:
     - r561 tested simplicialbot
           vertices: p45(v56) p44(v19) p92(v11)
           between f405 and f1169
     - r1070 simplicialtop simplicialbot
           vertices: p54(v76) p44(v19) p92(v11)
           between f1169 and f1159
     - r1071 simplicialtop simplicialbot
           vertices: p54(v76) p45(v56) p92(v11)
           between f1170 and f1169
     - r1073 simplicialbot
           vertices: p54(v76) p45(v56) p44(v19)
           between f1169 and f1143

While executing: rbox 50 C1,1E-13 t1447644703 | qhull d
Options selected for Qhull 2020.2.r 2020/08/31:
  run-id 950482353  delaunay  _pre-merge  _zero-centrum  Pgood  _max-width 0.94
  Error-roundoff 1e-15  _one-merge 9.2e-15  _near-inside 4.6e-14
  Visible-distance 6.1e-15  U-max-coplanar 6.1e-15  Width-outside 1.2e-14
  _wide-facet 3.7e-14  _maxoutside 1.2e-14
Last point added to hull was p54.  Last merge was #247.

At error exit:

Delaunay triangulation by the convex hull of 100 points in 4-d:

  Number of input sites: 76
  Number of nearly incident points: 1
  Number of Delaunay regions: 266
  Number of non-simplicial Delaunay regions: 73

Statistics for: rbox 50 C1,1E-13 t1447644703 | qhull d

  Number of points processed: 76
  Number of hyperplanes created: 1087
  Number of facets in hull: 303
  Number of distance tests for qhull: 5296
  Number of distance tests for merging: 10632
  Number of distance tests for checking: 0
  Number of merged facets: 249
  Maximum distance of point above facet: 1.3e-14 (1.3x)
  Maximum distance of vertex below facet: -1.3e-14 (1.3x)


precision problems (corrected unless 'Q0' or an error)
      4 flipped facets
     73 coplanar horizon facets for new vertices
      1 coplanar points during partitioning
    213 degenerate hyperplanes recomputed with gaussian elimination
     17 nearly singular or axis-parallel hyperplanes
      1 dupridges with multiple neighbors

A wide merge error has occurred.  Qhull has produced a wide facet due to facet merges and vertex merges.
This usually occurs when the input is nearly degenerate and substantial merging has occurred.
See http://www.qhull.org/html/qh-impre.htm#limit
rbox 50 C1,1E-13 t1447644703 | qhull d Q12
QH6271 qhull topology error (qh_check_dupridge): wide merge (1125070907263.1x wider) due to dupridge between f1143 and f1169 (vertex dist 6.5e-14), merge dist 0.015, while processing p54
- Allow error with option 'Q12'
- Experimental option merge-pinched-vertices ('Q14') may avoid this error.  It merges nearly adjacent vertices.
- A bounding box for the input sites may alleviate this error.

Delaunay triangulation by the convex hull of 100 points in 4-d:

  Number of input sites: 99
  Total number of nearly incident points: 1
  Number of Delaunay regions: 307
  Number of non-simplicial Delaunay regions: 133

Statistics for: rbox 50 C1,1E-13 t1447644703 | qhull d Q12

  Number of points processed: 99
  Number of hyperplanes created: 1504
  Number of facets in hull: 345
  Number of distance tests for qhull: 7670
  Number of distance tests for merging: 18282
  Number of distance tests for checking: 7318
  Number of merged facets: 456
  CPU seconds to compute hull (after input): 0.008756
  Maximum distance of point above facet: 1.3e-14 (1.3x)
  Maximum distance of vertex below facet: -0.0012 (119810840063.5x)

rbox 50 C1,1E-13 t1447644703 | qhull d Q14

Delaunay triangulation by the convex hull of 100 points in 4-d:

  Number of input sites: 99
  Total number of nearly incident points: 1
  Number of Delaunay regions: 312
  Number of non-simplicial Delaunay regions: 137

Statistics for: rbox 50 C1,1E-13 t1447644703 | qhull d Q14

  Number of points processed: 99
  Number of hyperplanes created: 1487
  Number of facets in hull: 350
  Number of distance tests for qhull: 5360
  Number of distance tests for merging: 17768
  Number of distance tests for checking: 4953
  Number of merged facets: 513
  CPU seconds to compute hull (after input): 0.008587
  Maximum distance of point above facet: 1.3e-14 (1.3x)
  Maximum distance of vertex below facet: -1.4e-14 (1.4x)


set +v
=======================================================
=== Testing done. Print documentation
=======================================================

qhull -

qhull -- compute convex hulls and related structures.
    http://www.qhull.org  2020.2.r 2020/08/31

input (stdin):
    first lines: dimension and number of points (or vice-versa).
    other lines: point coordinates, best if one point per line
    comments:    start with a non-numeric character
    halfspaces:  use dim plus one and put offset after coefficients.
                 May be preceded by a single interior point ('H').

options:
    d    - Delaunay triangulation by lifting points to a paraboloid
    d Qu - furthest-site Delaunay triangulation (upper convex hull)
    Hn,n,... - halfspace intersection about point [n,n,0,...]
    Qc   - keep coplanar points with nearest facet
    Qi   - keep interior points with nearest facet
    QJ   - joggled input instead of merged facets
    Qt   - triangulated output
    v    - Voronoi diagram (dual of the Delaunay triangulation)
    v Qu - furthest-site Voronoi diagram

Qhull control options:
    Qa   - allow input with fewer or more points than coordinates
    Qbk:n   - scale coord k so that low bound is n
      QBk:n - scale coord k so that upper bound is n (QBk is 0.5)
    QbB  - scale input to unit cube centered at the origin
    Qbb  - scale last coordinate to [0,m] for Delaunay triangulations
    Qbk:0Bk:0 - remove k-th coordinate from input
    QJn  - randomly joggle input in range [-n,n]
    QRn  - random rotation (n=seed, n=0 time, n=-1 time/no rotate)
    Qs   - search all points for the initial simplex
    Qu   - for 'd' or 'v', compute upper hull without point at-infinity
              returns furthest-site Delaunay triangulation
    QVn  - good facet if it includes point n, -n if not
    Qx   - exact pre-merges (skips coplanar and angle-coplanar facets)
    Qz   - add point-at-infinity to Delaunay triangulation

Qhull extra options:
    Qf   - partition point to furthest outside facet
    Qg   - only build good facets (needs 'QGn', 'QVn', or 'PdD')
    QGn  - good facet if visible from point n, -n for not visible
    Qm   - only process points that would increase max_outside
    Qr   - process random outside points instead of furthest ones
    Qv   - test vertex neighbors for convexity
    Qw   - allow option warnings
    Q0   - turn off default premerge with 'C-0'/'Qx'
    Q1   - merge by mergetype/angle instead of mergetype/distance
    Q2   - merge all coplanar facets instead of merging independent sets
    Q3   - do not merge redundant vertices
    Q4   - avoid old->new merges
    Q5   - do not correct outer planes at end of qhull
    Q6   - do not pre-merge concave or coplanar facets
    Q7   - depth-first processing instead of breadth-first
    Q8   - do not process near-inside points
    Q9   - process furthest of furthest points
    Q10  - no special processing for narrow distributions
    Q11  - copy normals and recompute centrums for tricoplanar facets
    Q12  - allow wide facets and wide dupridge
    Q14  - merge pinched vertices that create a dupridge
    Q15  - check for duplicate ridges with the same vertices

T options:
    TFn  - report summary when n or more facets created
    TI file - input file, may be enclosed in single quotes
    TO file - output file, may be enclosed in single quotes
    Ts   - statistics
    Tv   - verify result: structure, convexity, and point inclusion
    Tz   - send all output to stdout

Trace options:
    T4   - trace at level n, 4=all, 5=mem/gauss, -1= events
    Ta   - annotate output with message codes
    TAn  - stop qhull after adding n vertices
     TCn - stop qhull after building cone for point n
     TVn - stop qhull after adding point n, -n for before
    Tc   - check frequently during execution
    Tf   - flush each qh_fprintf for debugging segfaults
    TPn  - turn on tracing when point n added to hull
     TP-1  turn on tracing after qh_buildhull and qh_postmerge
     TMn - turn on tracing at merge n
     TWn - trace merge facets when width > n
    TRn  - rerun qhull n times for statistics to adjust 'QJn'

Precision options:
    Cn   - radius of centrum (roundoff added).  Merge facets if non-convex
     An  - cosine of maximum angle.  Merge facets if cosine > n or non-convex
           C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge
    En   - max roundoff error for distance computation
    Rn   - randomly perturb computations by a factor of [1-n,1+n]
    Vn   - min distance above plane for a visible facet (default 3C-n or En)
    Un   - max distance below plane for a new, coplanar point (default Vn)
    Wn   - min facet width for outside point (before roundoff, default 2Vn)

Output formats (may be combined; if none, produces a summary to stdout):
    f    - facet dump
    G    - Geomview output (see below)
    i    - vertices incident to each facet
    m    - Mathematica output (2-d and 3-d)
    n    - normals with offsets
    o    - OFF format (dim, points and facets; Voronoi regions)
    p    - vertex coordinates or Voronoi vertices (coplanar points if 'Qc')
    s    - summary (stderr)

More formats:
    Fa   - area for each facet
    FA   - compute total area and volume for option 's'
    Fc   - count plus coplanar points for each facet
           use 'Qc' (default) for coplanar and 'Qi' for interior
    FC   - centrum or Voronoi center for each facet
    Fd   - use cdd format for input (homogeneous with offset first)
    FD   - use cdd format for numeric output (offset first)
    FF   - facet dump without ridges
    Fi   - inner plane for each facet
           for 'v', separating hyperplanes for bounded Voronoi regions
    FI   - ID of each facet
    Fm   - merge count for each facet (511 max)
    FM   - Maple output (2-d and 3-d)
    Fn   - count plus neighboring facets for each facet
    FN   - count plus neighboring facets for each point
    Fo   - outer plane (or max_outside) for each facet
           for 'v', separating hyperplanes for unbounded Voronoi regions
    FO   - options and precision constants
    Fp   - dim, count, and intersection coordinates (halfspace only)
    FP   - nearest vertex and distance for each coplanar point
    FQ   - command used for qhull
    Fs   - summary: #int (8), dimension, #points, tot vertices, tot facets,
                      output: #vertices, #facets, #coplanars, #nonsimplicial
                    #real (2), max outer plane, min vertex
    FS   - sizes:   #int (0)
                    #real (2) tot area, tot volume
    Ft   - triangulation with centrums for non-simplicial facets (OFF format)
    Fv   - count plus vertices for each facet
           for 'v', Voronoi diagram as Voronoi vertices for pairs of sites
    FV   - average of vertices (a feasible point for 'H')
    Fx   - extreme points (in order for 2-d)

Geomview output (2-d, 3-d, and 4-d; 2-d Voronoi)
    Ga   - all points as dots
     Gp  -  coplanar points and vertices as radii
     Gv  -  vertices as spheres
    Gc   - centrums
    GDn  - drop dimension n in 3-d and 4-d output
    Gh   - hyperplane intersections
    Gi   - inner planes only
     Gn  -  no planes
     Go  -  outer planes only
    Gr   - ridges
    Gt   - for 3-d 'd', transparent outer ridges

Print options:
    PAn  - keep n largest facets by area
    Pdk:n - drop facet if normal[k] <= n (default 0.0)
    PDk:n - drop facet if normal[k] >= n
    PFn  - keep facets whose area is at least n
    Pg   - print good facets (needs 'QGn' or 'QVn')
    PG   - print neighbors of good facets
    PMn  - keep n facets with most merges
    Po   - force output.  If error, output neighborhood of facet
    Pp   - do not report precision problems

    .    - list of all options
    -    - one line descriptions of all options
    -?   - help with examples
    -V   - version
rbox

rbox -- generate various point distributions.  Default is random in cube.

args (any order, space separated):                    Version: 2019/11/10
  3000    number of random points in cube, lens, spiral, sphere or grid
  D3      dimension 3-d
  c       add a unit cube to the output ('c G2.0' sets size)
  d       add a unit diamond to the output ('d G2.0' sets size)
  l       generate a regular 3-d spiral
  r       generate a regular polygon, ('r s Z1 G0.1' makes a cone)
  s       generate cospherical points
  x       generate random points in simplex, may use 'r' or 'Wn'
  y       same as 'x', plus simplex
  Cn,r,m  add n nearly adjacent points within radius r of m points
  Pn,m,r  add point [n,m,r] first, pads with 0, maybe repeated

  Ln      lens distribution of radius n.  Also 's', 'r', 'G', 'W'.
  Mn,m,r  lattice(Mesh) rotated by [n,-m,0], [m,n,0], [0,0,r], ...
          '27 M1,0,1' is {0,1,2} x {0,1,2} x {0,1,2}.  Try 'M3,4 z'.
  W0.1    random distribution within 0.1 of the cube's or sphere's surface
  Z0.5 s  random points in a 0.5 disk projected to a sphere
  Z0.5 s G0.6 same as Z0.5 within a 0.6 gap

  Bn      bounding box coordinates, default 0.5
  h       output as homogeneous coordinates for cdd
  n       remove command line from the first line of output
  On      offset coordinates by n
  t       use time as the random number seed(default is command line)
  tn      use n as the random number seed
  z       print integer coordinates, default 'Bn' is 1e+06
cat html/qhull.txt html/rbox.txt



qhull(1)                                                 qhull(1)


NAME
       qhull  - convex hull, Delaunay triangulation, Voronoi dia-
       gram, halfspace intersection about a point, hull volume, facet area

SYNOPSIS
       qhull- compute convex hulls and related structures
           input (stdin): dimension, #points, point coordinates
           first comment (non-numeric) is listed in the summary
           halfspace: use dim plus one with offsets after coefficients

       options (qh-quick.htm):
           d    - Delaunay triangulation by lifting points to a paraboloid
           d Qu - furthest-site Delaunay triangulation (upper convex hull)
           v    - Voronoi diagram as the dual of the Delaunay triangulation
           v Qu - furthest-site Voronoi diagram
           H1,1 - Halfspace intersection about [1,1,0,...] via polar duality
           Qt   - triangulated output
           QJ   - joggled input instead of merged facets
           Tv   - verify result: structure, convexity, and point inclusion
           .    - concise list of all options
           -    - one-line description of each option
           -?   - this message
           -V   - version

       Output options (subset):
           s    - summary of results (default)
           i    - vertices incident to each facet
           n    - normals with offsets
           p    - vertex coordinates (if 'Qc', includes coplanar points)
                  if 'v', Voronoi vertices
           FA   - report total area and volume
           Fp   - halfspace intersections
           FS   - total area and volume
           Fx   - extreme points (convex hull vertices)
           G    - Geomview output (2-d, 3-d and 4-d)
           m    - Mathematica output (2-d and 3-d)
           o    - OFF format (if 'v', outputs Voronoi regions)
           QVn  - print facets that include point n, -n if not
           TI file - input file, may be enclosed in single quotes
           TO file - output file, may be enclosed in single quotes

       examples:
           rbox D4 | qhull Tv                        rbox 1000 s | qhull Tv s FA
           rbox 10 D2 | qhull d QJ s i TO result     rbox 10 D2 | qhull v Qbb Qt p
           rbox 10 D2 | qhull d Qu QJ m              rbox 10 D2 | qhull v Qu QJ o
           rbox c d D2 | qhull Qc s f Fx | more      rbox c | qhull FV n | qhull H Fp
           rbox d D12 | qhull QR0 FA                 rbox c D7 | qhull FA TF1000
           rbox y 1000 W0 | qhull Qc                 rbox c | qhull n

        - html manual:    html/index.htm
        - installation:   README.txt
        - see also:       COPYING.txt, REGISTER.txt, Changes.txt
        - WWW:            <http://www.qhull.org>
        - GIT:            <git@github.com:qhull/qhull.git>
        - news:           <http://www.qhull.org/news>
        - Geomview:       <http://www.geomview.org>
        - news group:     <news:comp.graphics.algorithms>
        - FAQ:            <http://www.faqs.org/faqs/graphics/algorithms-faq/>
        - email:          qhull@qhull.org
        - bug reports:    qhull_bug@qhull.org




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qhull(1)                                                 qhull(1)


       The sections are:
        - INTRODUCTION
        - DESCRIPTION, a description of Qhull
        - IMPRECISION, how Qhull handles imprecision
        - OPTIONS
        -    Input and output options
        -    Additional input/output formats
        -    Precision options
        -    Geomview options
        -    Print options
        -    Qhull options
        -    Trace options
        - BUGS
        - E-MAIL
        - SEE ALSO
        - AUTHORS
        - ACKNOWLEGEMENTS

       This man page briefly describes all Qhull options.  Please
       report  any  mismatches  with  Qhull's  html  manual  
       (html/index.htm).



INTRODUCTION
       Qhull  is  a  general  dimension code for computing convex
       hulls, Delaunay triangulations, Voronoi diagram, furthest-
       site  Voronoi  diagram,  furthest-site Delaunay triangula-
       tions, and halfspace  intersections  about  a  point.   It
       implements  the Quickhull algorithm for computing the con-
       vex hull.  Qhull handles round-off  errors  from  floating
       point arithmetic.  It can approximate a convex hull.

       The  program includes options for hull volume, facet area,
       partial hulls, input transformations, randomization, trac-
       ing,  multiple  output  formats, and execution statistics.
       The program can be called from  within  your  application.
       You  can  view  the  results  in  2-d,  3-d  and  4-d with
       Geomview.


DESCRIPTION
       The format of input is the following: first line  contains
       the  dimension,  second  line contains the number of input
       points, and point coordinates follow.  The  dimension  and
       number  of  points  can  be  reversed.   Comments and line
       breaks are ignored.  A comment starts with  a  non-numeric
       character  and  continues  to  the end of line.  The first
       comment is reported in summaries  and  statistics.   Error
       reporting is better if there is one point per line.

       The  default printout option is a short summary. There are
       many other output formats.




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qhull(1)                                                 qhull(1)


       Qhull implements the Quickhull algorithm for convex  hull.
       This  algorithm  combines the 2-d Quickhull algorithm with
       the n-d beneath-beyond algorithm [c.f., Preparata & Shamos
       '85].   It  is  similar  to  the  randomized algorithms of
       Clarkson and others  [Clarkson  et  al.  '93].   The  main
       advantages  of Quickhull are output sensitive performance,
       reduced space requirements, and automatic handling of pre-
       cision problems.

       The data structure produced by Qhull consists of vertices,
       ridges, and facets.  A vertex is a point of the input set.
       A ridge is a set of d vertices and two neighboring facets.
       For example in 3-d, a ridge is an edge of the  polyhedron.
       A facet is a set of ridges, a set of neighboring facets, a
       set of incident vertices, and a hyperplane equation.   For
       simplicial  facets, the ridges are defined by the vertices
       and neighboring facets.  When Qhull merges two facets,  it
       produces  a  non-simplicial facet.  A non-simplicial facet
       has more than d neighbors and  may  share  more  than  one
       ridge with a neighbor.


IMPRECISION
       Since Qhull uses floating point arithmetic, roundoff error
       may occur for each calculation.  This causes  problems for
       most geometric algorithms.

       Qhull  automatically  sets  option  'C-0' in 2-d, 3-d, and
       4-d, or option 'Qx' in 5-d and higher.  These options han-
       dle  precision problems by merging facets.  Alternatively,
       use option 'QJ' to joggle the input.

       With 'C-0', Qhull  merges  non-convex  facets  while  con-
       structing  the hull. The remaining facets are clearly con-
       vex. With 'Qx',  Qhull  merges  coplanar  horizon  facets,
       flipped  facets, concave facets and duplicated ridges.  It
       merges coplanar facets after constructing the hull.   With
       'Qx',  coplanar points may be missed, but it appears to be
       unlikely.

       To guarantee triangular  output,  joggle  the  input  with
       option 'QJ'.  Facet merging will not occur.

OPTIONS
       To  get  a  list  of  the  most important options, execute
       'qhull -?'.  To get a  complete  list  of  options,
       execute  'qhull  -'.   To  get a complete, concise list of
       options, execute 'qhull .'.

       Options can be in any order.  Capitalized options take  an
       argument  (except  'PG'  and 'F' options).  Single letters
       are used for output formats and precision constants.   The
       other options are grouped into menus: output formats ('F'), 
       Geomview output ('G'), printing  ('P'),  Qhull control ('Q'), 



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qhull(1)                                                 qhull(1)


       and tracing ('T').

       Main options:

       default
              Compute  the  convex  hull  of  the  input  points.
              Report a summary of the result.

       d      Compute the Delaunay triangulation by  lifting  the
              input  points  to  a  paraboloid.   The  'o' option
              prints the  input  points  and  facets.   The  'QJ'
              option  guarantees  triangular  output.   The  'Ft'
              option prints a triangulation.  It adds points (the
              centrums) to non-simplicial facets.

       v      Compute  the Voronoi diagram from the Delaunay tri-
              angulation.  The 'p' option prints the Voronoi ver-
              tices.   The 'o' option prints the Voronoi vertices
              and the vertices in each Voronoi region.  It  lists
              regions  in  site id order.  The 'Fv' option prints
              each ridge of the Voronoi diagram.   The  first  or
              zero'th  vertex indicates the infinity vertex.  Its
              coordinates are qh_INFINITE  (-10.101).   It  indi-
              cates   unbounded  Voronoi  regions  or  degenerate
              Delaunay triangles.

       Hn,n,...
              Compute halfspace intersection  about  [n,n,0,...].
              The  input  is  a  set of halfspaces defined in the
              same format as 'n', 'Fo', and 'Fi'.   Use  'Fp'  to
              print  the  intersection  points.  Use 'Fv' to list
              the intersection points for  each  halfspace.   The
              other  output formats display the dual convex hull.

              The point [n,n,n,...] is a feasible point  for  the
              halfspaces, i.e., a point that is inside all of the
              halfspaces (Hx+b <=  0).   The  default  coordinate
              value is 0.

              The  input may start with a feasible point.  If so,
              use 'H' by itself.  The input starts with a  feasi-
              ble  point  when the first number is the dimension,
              the second number is "1", and the coordinates  com-
              plete  a line.  The 'FV' option produces a feasible
              point for a convex hull.

       d Qu   Compute the  furthest-site  Delaunay  triangulation
              from  the upper convex hull.  The 'o' option prints
              the input points and facets.  The 'QJ' option guar-
              antees triangular otuput.  You can also use facets.

       v Qu   Compute the furthest-site Voronoi diagram.  The 'p'
              option prints the Voronoi vertices.  The 'o' option
              prints the Voronoi vertices  and  the  vertices  in



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qhull(1)                                                 qhull(1)


              each  Voronoi  region.  The 'Fv' option prints each
              ridge of the Voronoi diagram.  The first or zero'th
              vertex  indicates  the infinity vertex at infinity.
              Its  coordinates  are  qh_INFINITE  (-10.101).   It
              indicates  unbounded Voronoi regions and degenerate
              Delaunay triangles.

       Qt     Triangulated output.


       Input/Output options:

       f      Print all facets and all fields of each  facet.

       G      Output  the hull in Geomview format.  For imprecise
              hulls, Geomview displays the inner and outer  hull.
              Geomview can also display points, ridges, vertices,
              coplanar  points,  and  facet  intersections.   See
              below for a list of options.

              For  Delaunay triangulations, 'G' displays the cor-
              responding paraboloid.  For halfspace intersection,
              'G' displays the dual polytope.

       i      Output the incident vertices for each facet.  Qhull
              prints the number of facets followed  by  the  ver-
              tices  of  each  facet.   One  facet is printed per
              line.  The numbers are the  0-relative  indices  of
              the  corresponding  input  points.   The facets are
              oriented.

              In 4-d and higher, Qhull  triangulates  non-simpli-
              cial  facets.   Each  apex  (the first vertex) is a
              created point that corresponds to the facet's  cen-
              trum.  Its index is greater than the indices of the
              input points.  Each base corresponds to  a  simpli-
              cial  ridge  between two facets.  To print the ver-
              tices without triangulation, use option 'Fv'.  To 
              print the centrum coordinates, use option 'Ft'. The
              centrum indices for option 'i' are one more than 
              the centrum indices for option 'Ft'.


       m      Output  the  hull  in  Mathematica  format.   Qhull
              writes  a  Mathematica  file for 2-d and 3-d convex
              hulls and for 2-d Delaunay triangulations.    Qhull
              produces a list of objects that you can assign to a
              variable in Mathematica,  for  example:  "list=  <<
              <outputfilename> ". If the object is 2-d, it can be
              visualized  by  "Show[Graphics[list]]  ".  For  3-d
              objects the command is "Show[Graphics3D[list]]".

       n      Output  the  normal equation for each facet.  Qhull
              prints the dimension  (plus  one),  the  number  of
              facets,  and  the  normals  for  each  facet.   The
              facet's offset follows its normal coefficients.

       o      Output the facets in OFF file format.  Qhull prints
              the  dimension, number of points, number of facets,
              and  number  of  ridges.   Then   it   prints   the



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qhull(1)                                                 qhull(1)


              coordinates  of  the  input points and the vertices
              for each facet.  Each facet is on a separate  line.
              The  first  number  is the number of vertices.  The
              remainder are  the  indices  of  the  corresponding
              points.  The vertices are oriented in 2-d, 3-d, and
              in simplicial facets.

              For 2-d Voronoi diagrams, the vertices  are  sorted
              by adjacency, but not oriented.  In 3-d and higher,
              the Voronoi vertices are sorted by index.  See  the
              'v' option for more information.

       p      Output the coordinates of each vertex point.  Qhull
              prints the dimension, the number of points, and the
              coordinates  for  each  vertex.   With the 'Gc' and
              'Gi' options, it also prints coplanar and  interior
              points.   For Voronoi diagrams, it prints the coor-
              dinates of each Voronoi vertex.

       s      Print a summary to stderr.  If  no  output  options
              are  specified,  a summary goes to stdout.
              The summary lists the number of input  points,  the
              dimension,  the  number  of  vertices in the convex
              hull, the number of facets in the convex hull,  the
              number of good facets (if 'Pg'), and statistics.

              The  last  two  statistics (if needed) measure the
              maximum distance from a point or vertex to a facet.
              The number in parenthesis (e.g., 2.1x) is the ratio
              between the maximum  distance  and  the  worst-case
              distance due to merging two simplicial facets.


       Precision options

       An     Maximum  angle  given  as  a  cosine.  If the angle
              between a pair of facet normals is greater than n, Qhull
              merges  one  of the facets into a neighbor.  If 'n'
              is negative, Qhull tests angles after  adding  each
              point  to  the hull (pre-merging).  If 'n' is posi-
              tive, Qhull tests  angles  after  constructing  the
              hull  (post-merging).   Both  pre- and post-merging
              can be defined.

              Option 'C0' or 'C-0' is set  if  the  corresponding
              'Cn' or 'C-n' is not set.  If 'Qx' is set, then 'A-
              n' and 'C-n' are checked after  the  hull  is  con-
              structed and before 'An' and 'Cn' are checked.

       Cn     Centrum  radius.  If a centrum is less than n below
              a  neighboring  facet,  Qhull  merges  one  of  the
              facets.   If  'n'  is negative or '-0', Qhull tests
              and merges facets after adding each  point  to  the
              hull.   This  is  called  "pre-merging".  If 'n' is



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qhull(1)                                                 qhull(1)


              positive, Qhull  tests  for  convexity  after  con-
              structing the hull ("post-merging").  Both pre- and
              post-merging can be defined.

              For 5-d and higher, 'Qx' should be used instead  of
              'C-n'.  Otherwise, most or all facets may be merged
              together.

       En     Maximum roundoff error for distance computations.

       Rn     Randomly perturb distance computations up to +/-  n
              *  max_coord.  This option perturbs every distance,
              hyperplane, and angle computation.  To use time  as
              the random number seed, use option 'QR-1'.

       Vn     Minimum  distance  for  a  facet  to be visible.  A
              facet is visible if the distance from the point  to
              the facet is greater than 'Vn'.

              Without  merging, the default value for 'Vn' is the
              round-off error ('En').  With merging, the  default
              value  is  the  pre-merge centrum ('C-n') in 2-d or
              3--d, or three times that in other dimensions.   If
              the outside width is specified ('Wn'), the maximum,
              default value for 'Vn' is 'Wn'.

       Un     Maximum distance below a facet for a  point  to  be
              coplanar  to the facet.  The default value is 'Vn'.

       Wn     Minimum outside width  of  the  hull.   Points  are
              added  to  the convex hull only if they are clearly
              outside of a facet.  A point is outside of a  facet
              if  its distance to the facet is greater than 'Wn'.
              The normal value for 'Wn' is  'En'.   If  the  user
              specifies  pre-merging  and does not set 'Wn', than
              'Wn'  is  set  to  the  premerge  'Cn'  and  maxco-
              ord*(1-An).


       Additional input/output formats

       Fa     Print area for each facet.  For Delaunay triangula-
              tions, the area is the area of the  triangle.   For
              Voronoi  diagrams, the area is the area of the dual
              facet.   Use  'PAn'  for  printing  the  n  largest
              facets, and option 'PFn' for printing facets larger
              than 'n'.

              The area for non-simplicial facets is  the  sum  of
              the areas for each ridge to the centrum.   Vertices
              far below the facet's hyperplane are ignored.   The
              reported  area  may  be significantly less than the
              actual area.




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qhull(1)                                                 qhull(1)


       FA     Compute the total area and volume for  option  's'.
              It  is  an  approximation for non-simplicial facets
              (see 'Fa').

       Fc     Print coplanar points for each facet.   The  output
              starts  with the number of facets.  Then each facet
              is printed one per line.  Each line is  the  number
              of  coplanar  points  followed  by  the  point ids.
              Option 'Qi' includes  the  interior  points.   Each
              coplanar  point (interior point) is assigned to the
              facet it is furthest above (resp., least below).

       FC     Print centrums for each facet.  The  output  starts
              with  the  dimension  followed  by  the  number  of
              facets.  Then each facet centrum  is  printed,  one
              per line.

       Fd     Read  input  in cdd format with homogeneous points.
              The input starts with comments.  The first  comment
              is  reported  in  the summary.  Data starts after a
              "begin" line.  The  next  line  is  the  number  of
              points  followed  by  the dimension+1 and "real" or
              "integer".  Then the  points  are  listed   with  a
              leading  "1" or "1.0".  The data ends with an "end"
              line.

              For halfspaces ('Fd Hn,n,...'), the input format is
              the  same.   Each halfspace starts with its offset.
              The sign of the offset is the opposite  of  Qhull's
              convention.

       FD     Print  normals ('n', 'Fo', 'Fi') or points ('p') in
              cdd format.  The first line  is  the  command  line
              that  invoked  Qhull.   Data  starts with a "begin"
              line.  The next line is the number  of  normals  or
              points  followed  by  the  dimension+1  and "real".
              Then the normals or points  are  listed   with  the
              offset  before  the  coefficients.   The offset for
              points is 1.0.  The  offset  for  normals  has  the
              opposite sign.  The data ends with an "end" line.

       FF     Print  facets  (as  in  'f')  without  printing the
              ridges.

       Fi     Print inner planes for each facet.  The inner plane
              is below all vertices.

       Fi     Print  separating  hyperplanes  for  bounded, inner
              regions of the Voronoi diagram.  The first line  is
              the  number  of  ridges.   Then  each hyperplane is
              printed, one per line.  A line starts with the num-
              ber  of  indices  and floats.  The first pair lists
              adjacent input sites, the next  d  floats  are  the
              normalized coefficients for the hyperplane, and the



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qhull(1)                                                 qhull(1)


              last float is the offset.  The hyperplane  is  ori-
              ented  toward 'QVn' (if defined), or the first input 
              site of the pair.  Use 'Tv' to verify that the 
              hyperplanes are perpendicular  bisectors.   Use  
              'Fo'  for   unbounded regions,  and 'Fv' for the 
              corresponding Voronoi vertices.

       FI     Print facet identifiers.

       Fm     Print number of merges for each facet.  At most 511
              merges  are  reported  for  a facet.  See 'PMn' for
              printing the facets with the most merges.

       FM     Output  the  hull  in  Maple format.  See 'm'

       Fn     Print neighbors for each facet.  The output  starts
              with  the  number  of  facets.   Then each facet is
              printed one per line.  Each line is the  number  of
              neighbors  followed  by an index for each neighbor.
              The indices match the other facet output formats.

              A negative index indicates an unprinted  facet  due
              to  printing  only  good  facets ('Pg').  It is the
              negation of the  facet's  id  (option  'FI').   For
              example,  negative  indices are used for facets "at
              infinity" in the Delaunay triangulation.

       FN     Print vertex neighbors or coplanar facet  for  each
              point.   The  first  line  is the number of points.
              Then each point is printed, one per line.   If  the
              point  is coplanar, the line is "1" followed by the
              facet's id.  If the point is not a selected vertex,
              the  line is "0".  Otherwise, each line is the num-
              ber of  neighbors  followed  by  the  corresponding
              facet indices (see 'Fn').

       Fo     Print  outer planes for each facet in the same for-
              mat as 'n'.  The outer plane is above all points.

       Fo     Print separating hyperplanes for  unbounded,  outer
              regions  of the Voronoi diagram.  The first line is
              the number of  ridges.   Then  each  hyperplane  is
              printed, one per line.  A line starts with the num-
              ber of indices and floats.  The  first  pair  lists
              adjacent  input  sites,  the  next d floats are the
              normalized coefficients for the hyperplane, and the
              last  float  is the offset.  The hyperplane is ori-
              ented  toward 'QVn' (if defined), or the first input 
              site of the pair.  Use 'Tv' to verify that the 
              hyperplanes are perpendicular  bisectors.   Use  
              'Fi'  for bounded regions,  and 'Fv' for the 
              corresponding Voronoi vertices.

       FO     List  all  options to stderr, including the default
              values.  Additional 'FO's are printed to stdout.

       Fp     Print points for  halfspace  intersections  (option
              'Hn,n,...').   Each  intersection  corresponds to a



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qhull(1)                                                 qhull(1)


              facet of the dual polytope.  The  "infinity"  point
              [-10.101,-10.101,...]    indicates   an   unbounded
              intersection.

       FP     For each coplanar point ('Qc') print the  point  id
              of  the nearest vertex, the point id, the facet id,
              and the distance.

       FQ     Print command used for qhull and input.

       Fs     Print a summary.  The first line  consists  of  the
              number  of  integers  ("7"), followed by the dimen-
              sion, the number of points, the number of vertices,
              the  number  of  facets,  the  number  of  vertices
              selected for output, the number of facets  selected
              for  output, the number of coplanar points selected
              for output.

              The second line consists of  the  number  of  reals
              ("2"),  followed by the maxmimum offset to an outer
              plane and and minimum offset  to  an  inner  plane.
              Roundoff  is included.  Later versions of Qhull may
              produce additional integers or reals.

       FS     Print the size of the hull.  The  first  line  con-
              sists  of the number of integers ("0").  The second
              line consists of the number of  reals  ("2"),  fol-
              lowed  by  the total facet area, and the total vol-
              ume.  Later versions of  Qhull  may  produce  addi-
              tional integers or reals.

              The  total volume measures the volume of the inter-
              section of the halfspaces defined  by  each  facet.
              Both  area  and  volume are approximations for non-
              simplicial facets.  See option 'Fa'.

       Ft     Print a triangulation with added  points  for  non-
              simplicial facets.  The first line is the dimension
              and the second line is the number of points and the
              number of facets.  The points follow, one per line,
              then the facets follow as a list of point  indices.
              With option points include the point-at-infinity.

       Fv     Print  vertices  for each facet.  The first line is
              the number of facets.  Then each facet is  printed,
              one  per line.  Each line is the number of vertices
              followed by the corresponding point ids.   Vertices
              are listed in the order they were added to the hull
              (the last one is first).

       Fv     Print all ridges of a Voronoi diagram.   The  first
              line  is  the number of ridges.  Then each ridge is
              printed, one per line.  A line starts with the num-
              ber  of  indices.   The  first  pair lists adjacent



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qhull(1)                                                 qhull(1)


              input sites, the  remaining  indices  list  Voronoi
              vertices.   Vertex  '0'  indicates  the  vertex-at-
              infinity (i.e., an unbounded  ray).   In  3-d,  the
              vertices  are  listed  in order.  See 'Fi' and 'Fo'
              for separating hyperplanes.

       FV     Print average vertex.  The average vertex is a fea-
              sible point for halfspace intersection.

       Fx     List  extreme points (vertices) of the convex hull.
              The first line is the number of points.  The  other
              lines give the indices of the corresponding points.
              The first point is '0'.  In 2-d, the  points  occur
              in counter-clockwise order; otherwise they occur in
              input order.   For  Delaunay  triangulations,  'Fx'
              lists  the  extreme points of the input sites.  The
              points are unordered.


       Geomview options

       G      Produce a file for viewing with Geomview.   Without
              other  options,  Qhull displays edges in 2-d, outer
              planes in 3-d, and ridges in 4-d.  A ridge  can  be
              explicit or implicit.  An explicit ridge is a dim-1
              dimensional simplex between two  facets.   In  4-d,
              the explicit ridges are triangles.  When displaying
              a ridge in 4-d, Qhull projects the ridge's vertices
              to  one  of  its  facets' hyperplanes.  Use 'Gh' to
              project ridges to the intersection of  both  hyper-
              planes.

       Ga     Display all input points as dots.

       Gc     Display  the  centrum  for  each facet in 3-d.  The
              centrum is defined by a green radius sitting  on  a
              blue  plane.   The plane corresponds to the facet's
              hyperplane.  The radius  is  defined  by  'C-n'  or
              'Cn'.

       GDn    Drop  dimension  n  in 3-d or 4-d.  The result is a
              2-d or 3-d object.

       Gh     Display hyperplane intersections in  3-d  and  4-d.
              In  3-d, the intersection is a black line.  It lies
              on two  neighboring  hyperplanes  (c.f.,  the  blue
              squares  associated with centrums ('Gc')).  In 4-d,
              the ridges are projected  to  the  intersection  of
              both hyperplanes.

       Gi     Display  inner  planes  in  2-d and 3-d.  The inner
              plane of a facet is below all of its vertices.   It
              is  parallel  to the facet's hyperplane.  The inner
              plane's color is the opposite (1-r,1-g,1-b) of  the



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qhull(1)                                                 qhull(1)


              outer  plane.  Its edges are determined by the ver-
              tices.

       Gn     Do not display inner or outer planes.  By  default,
              Geomview displays the precise plane (no merging) or
              both inner  and  output  planes  (merging).   Under
              merging,  Geomview does not display the inner plane
              if the the difference between inner  and  outer  is
              too small.

       Go     Display  outer  planes  in  2-d and 3-d.  The outer
              plane of a facet is above all input points.  It  is
              parallel  to  the facet's hyperplane.  Its color is
              determined by the facet's normal, and its edges are
              determined by the vertices.

       Gp     Display  coplanar  points and vertices as radii.  A
              radius defines a  ball  which  corresponds  to  the
              imprecision  of  the point.  The imprecision is the
              maximum of the roundoff error, the centrum  radius,
              and  maxcoord  * (1-An).  It is at least 1/20'th of
              the maximum coordinate, and ignores post-merging if
              pre-merging is done.

       Gr     Display  ridges  in  3-d.  A ridge connects the two
              vertices that are  shared  by  neighboring  facets.
              Ridges are always displayed in 4-d.

       Gt     A  3-d  Delaunay  triangulation looks like a convex
              hull with interior facets.  Option 'Gt' removes the
              outside  ridges to reveal the outermost facets.  It
              automatically sets options 'Gr' and 'GDn'.

       Gv     Display vertices as spheres.   The  radius  of  the
              sphere  corresponds to the imprecision of the data.
              See 'Gp' for determining the radius.


       Print options

       PAn    Only the n  largest  facets  are  marked  good  for
              printing.   Unless  'PG'  is set, 'Pg' is automati-
              cally set.

       Pdk:n  Drop facet from output  if  normal[k]  <=  n.   The
              option 'Pdk' uses the default value of 0 for n.

       PDk:n  Drop  facet  from  output  if  normal[k] >= n.  The
              option 'PDk' uses the default value of 0 for n.

       PFn    Only facets with area at least 'n' are marked  good
              for printing.  Unless 'PG' is set, 'Pg' is automat-
              ically set.




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qhull(1)                                                 qhull(1)


       Pg     Print only good facets.  A  good  facet  is  either
              visible from a point (the 'QGn' option) or includes
              a point (the 'QVn'  option).   It  also  meets  the
              requirements  of  'Pdk'  and 'PDk' options.  Option
              'Pg' is automatically set for  options 'd', 'PAn', 
              'PFn', and 'PMn'

       PG     Print neighbors of good facets.

       PMn    Only  the  n facets with the most merges are marked
              good for printing.  Unless 'PG'  is  set,  'Pg'  is
              automatically set.

       Po     Force output despite precision problems.  Verify  ('Tv')  does    not check
              coplanar points.  Flipped facets are  reported  and
              concave  facets  are  counted.   If  'Po'  is used,
              points are not partitioned into flipped facets  and
              a  flipped  facet  is  always  visible  to a point.
              Also, if an error occurs before the  completion  of
              Qhull  and  tracing  is  not active, 'Po' outputs a
              neighborhood of the erroneous facets (if any).

       Pp     Do not report precision problems.


       Qhull control options

       Qa     Allow input with fewer or more points than coordinates
       
       Qbk:0Bk:0
              Drop dimension  k  from  the  input  points.   This
              allows  the user to take convex hulls of sub-dimen-
              sional objects.  It happens before the Delaunay and
              Voronoi transformation.

       QbB    Scale the input points to fit the unit cube.  After
              scaling, the lower bound will be -0.5 and the upper
              bound  +0.5  in  all  dimensions.  For Delaunay and
              Voronoi diagrams, scaling happens after  projection
              to the paraboloid.  Under precise arithmetic, scal-
              ing does not change  the  topology  of  the  convex
              hull.

       Qbb    Scale  the last coordinate to [0, m] where m is the
              maximum absolute value of  the  other  coordinates.
              For  Delaunay and Voronoi diagrams, scaling happens
              after projection to  the  paraboloid.   It  reduces
              roundoff error for inputs with integer coordinates.
              Under precise arithmetic, scaling does  not  change
              the topology of the convex hull.

       Qbk:n  Scale  the  k'th  coordinate  of  the input points.
              After scaling, the lower bound of the input  points
              will be n.  'Qbk' scales to -0.5.



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qhull(1)                                                 qhull(1)


       QBk:n  Scale  the  k'th  coordinate  of  the input points.
              After scaling, the upper bound will  be  n.   'QBk'
              scales to +0.5.

       Qc     Keep  coplanar points with the nearest facet.  Out-
              put formats 'p', 'f', 'Gp', 'Fc',  'FN',  and  'FP'
              will print the points.

       Qf     Partition points to the furthest outside facet.

       Qg     Only  build  good  facets.   With  the 'Qg' option,
              Qhull will only build those facets that it needs to
              determine  the  good  facets  in  the  output.  See
              'QGn', 'QVn', and 'PdD' for defining  good  facets,
              and  'Pg'  and  'PG'  for  printing good facets and
              their neighbors.

       QGn    A facet is good (see 'Qg' and 'Pg') if it is  visi-
              ble  from point n.  If n < 0, a facet is good if it
              is not visible from point n.  Point n is not  added
              to  the  hull  (unless 'TCn' or 'TPn').  With rbox,
              use the 'Pn,m,r' option to define  your  point;  it
              will be point 0 (QG0).

       Qi     Keep  interior points with the nearest facet.  Out-
              put formats 'p', 'f', 'Gp', 'FN',  'FP',  and  'Fc'
              will print the points.

       QJn    Joggle  each  input  coordinate  by adding a random
              number in [-n,n].  If  a  precision  error  occurs,
              then  qhull  increases  n and tries again.  It does
              not increase n beyond a certain value, and it stops
              after  a  certain  number of attempts [see user.h].
              Option 'QJ' selects a default  value  for  n.   The
              output will be simplicial.  For Delaunay triangula-
              tions, 'QJn' sets 'Qbb' to scale the  last  coordi-
              nate (not if 'Qbk:n' or 'QBk:n' is set).  'QJn' is
              deprecated for Voronoi diagrams.  See also 'Qt'.

       Qm     Only  process  points that would otherwise increase
              max_outside.  Other points are treated as  coplanar
              or interior points.

       Qr     Process  random  outside points instead of furthest
              ones.  This makes Qhull equivalent to  the  random-
              ized  incremental  algorithms.   CPU  time  is  not
              reported since the randomization is inefficient.

       QRn    Randomly rotate the input points.  If n=0, use time
              as  the  random  number seed.  If n>0, use n as the
              random number seed.  If n=-1, don't rotate but  use
              time  as the random number seed.  For Delaunay tri-
              angulations ('d' and 'v'), rotate  about  the  last
              axis.




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qhull(1)                                                 qhull(1)


       Qs     Search all points for the initial simplex.

       Qt     Triangulated output.  Triangulate non-simplicial
              facets. 'Qt' is deprecated for Voronoi diagrams.
              See also 'QJn'

       Qv     Test  vertex  neighbors  for  convexity after post-
              merging.  To use the 'Qv' option, you also need  to
              set a merge option (e.g., 'Qx' or 'C-0').

       QVn    A  good facet (see 'Qg' and 'Pg') includes point n.
              If n<0, then a good facet does not include point n.
              The point is either in the initial simplex or it is
              the first point added to the  hull.   Option  'QVn'
              may not be used with merging.

       Qw     Allow option warnings. Otherwise Qhull returns an 
              error after most option warnings.

       Qx     Perform  exact merges while building the hull.  The
              "exact" merges are merging a point into a  coplanar
              facet  (defined  by 'Vn', 'Un', and 'C-n'), merging
              concave facets, merging duplicate ridges, and merg-
              ing  flipped  facets.   Coplanar  merges  and angle
              coplanar merges ('A-n') are not performed.  Concav-
              ity testing is delayed until a merge occurs.

              After  the  hull  is built, all coplanar merges are
              performed (defined by 'C-n' and 'A-n'), then  post-
              merges are performed (defined by 'Cn' and 'An').

       Qz     Add  a  point  "at  infinity"  that  is  above  the
              paraboloid for Delaunay triangulations and  Voronoi
              diagrams.   This  reduces  precision  problems  and
              allows the triangulation of cospherical points.


       Qhull experiments and speedups

       Q0     Turn off pre-merging as  a  default  option.   With
              'Q0'/'Qx'  and  without explicit pre-merge options,
              Qhull ignores precision issues  while  constructing
              the  convex  hull.   This  may  lead  to  precision
              errors.  If so, a descriptive warning is generated.

       Q1     With 'Q1', Qhull merges by mergetype/angle instead 
              of mergetype/distance.

       Q2     With 'Q2', Qhull merges all facets at once  instead
              of  using  independent  sets  of  merges  and  then
              retesting.

       Q3     With 'Q3', Qhull does  not  remove  redundant  ver-
              tices.

       Q4     With 'Q4', Qhull avoids merges of an old facet into
              a new facet.

       Q5     With 'Q5', Qhull does not correct outer  planes  at
              the  end.  The maximum outer plane is used instead.




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qhull(1)                                                 qhull(1)


       Q6     With 'Q6', Qhull  does  not  pre-merge  concave  or
              coplanar facets.

       Q7     With  'Q7',  Qhull  processes facets in depth-first
              order instead of breadth-first order.

       Q8     With 'Q8' and merging, Qhull does not retain  near-
              interior  points  for adjusting outer planes.  'Qc'
              will probably retain all points that  adjust  outer
              planes.

       Q9     With 'Q9', Qhull processes the furthest of all out-
              side sets at each iteration.

       Q10    With 'Q10', Qhull does not use special processing
              for narrow distributions.

       Q11    With 'Q11', Qhull copies normals and recomputes
              centrums for tricoplanar facets.

       Q12    With 'Q12', Qhull allows wide facets and wide dupridge
       
       Q14    With 'Q14', Qhull merges pinched vertices that create a dupridge.

       Q15    With 'Q15', Qhull checks for duplicate ridges with the same vertices.
       
       Trace options

       Tn     Trace at level n.  Qhull  includes  full  execution
              tracing.   'T-1'  traces  events.   'T1' traces the
              overall execution of the program.   'T2'  and  'T3'
              trace overall execution and geometric and topologi-
              cal  events.   'T4'  traces  the  algorithm.   'T5'
              includes  information  about  memory allocation and
              Gaussian elimination.

       Ta     Annotate output with codes that identify the
              corresponding qh_fprintf() statement.

       TAn    Stop Qhull after adding n vertices.

       Tc     Check frequently during execution.  This will catch
              most inconsistency errors.

       TCn    Stop  Qhull  after  building the cone of new facets
              for point n.  The output for 'f' includes the  cone
              and the old hull.  See also 'TVn'.

       Tf     Flush output after each qh_fprintf.  Use 'Tf' for 
              debugging segfaults.  See 'Tz' for redirecting stderr.
       
       TFn    Report  progress  whenever  more  than n facets are
              created During post-merging, 'TFn' reports progress
              after more than n/2 merges.

       TI file
              Input data from 'file'.  The filename may not include
              spaces or quotes.

       TMn    Turn on tracing at n'th merge.

       TO file
              Output results to 'file'.  The name may be enclosed
              in single quotes.

       TPn    Turn on tracing when point n is added to the  hull.
              Trace partitions of point n. If used with TWn, turn off
              tracing after adding point n to the hull.

       TP-1   Turn on tracing after qh_buildhull and qh_postmerge.

       TRn    Rerun  qhull  n  times.  Usually used with 'QJn' to
              determine the probability that a given joggle  will
              fail.

       Ts     Collect  statistics  and print to stderr at the end
              of execution.

       Tv     Verify the convex hull.  This checks the  topologi-
              cal  structure,  facet  convexity, and point inclu-
              sion.  If precision problems occurred,  facet  con-
              vexity  is  tested whether or not 'Tv' is selected.
              Option 'Tv'  does  not  check  point  inclusion  if


Geometry Center              2019/05/03                16





qhull(1)                                                 qhull(1)


              forcing output with 'Po', or if 'Q5' is set.

              For  point  inclusion  testing, Qhull verifies that
              all points are below all outer planes  (facet->max-
              outside).  Point inclusion is exhaustive if merging
              or if the facet-point product is small enough; oth-
              erwise  Qhull  verifies  each point with a directed
              search (qh_findbest).

              Point inclusion testing occurs after producing out-
              put.   It  prints a message to stderr unless option
              'Pp' is used.  This allows the  user  to  interrupt
              Qhull without changing the output.

       TVn    Stop  Qhull  after  adding point n.  If n < 0, stop
              Qhull before adding point n.  Output shows the hull
              at this time.  See also 'TCn'

       TWn    Trace  merge  facets when the width is greater than
              n.

       Tz     Redirect stderr to stdout.  See 'Tf' for flushing writes.


BUGS
       Please    report    bugs     to     Brad     Barber     at
       qhull_bug@qhull.org.

       If Qhull does not compile, it is due to an incompatibility
       between your system and ours.  The first thing to check is
       that  your compiler is ANSI standard.  If it is, check the
       man page for the best options, or  find  someone  to  help
       you.  If you locate the cause of your problem, please send
       email since it might help others.

       If Qhull compiles but crashes on the test case (rbox  D4),
       there's  still  incompatibility  between  your  system and
       ours.  Typically it's been due to mem.c and memory  align-
       ment.   You  can  use qh_NOmem in mem.h to turn off memory
       management.  Please let us know if you figure out  how  to
       fix these problems.

       If  you  do  find  a  problem,  try  to simplify it before
       reporting the error.  Try different size inputs to  locate
       the  smallest one that causes an error.  You're welcome to
       hunt through the code  using  the  execution  trace  as  a
       guide.   This  is  especially true if you're incorporating
       Qhull into your own program.

       When you do report an error, please attach a data  set  to
       the  end of your message.  This allows us to see the error
       for ourselves.  Qhull is maintained part-time.



Geometry Center              2019/05/03                17





qhull(1)                                                 qhull(1)


E-MAIL
       Please  send  correspondence  to  qhull@qhull.org   and
       report  bugs  to  qhull_bug@qhull.org.  Let us know how
       you use Qhull.  If you mention it in a paper, please  send
       the reference and an abstract.

       If  you would like to get Qhull announcements (e.g., a new
       version) and news (any bugs that get fixed, etc.), let  us
       know  and  we  will  add  you to our mailing list.  If you
       would like to communicate with other Qhull users, we  will
       add you to the qhull_users alias.  For Internet news about
       geometric algorithms and convex hulls, look at comp.graph-
       ics.algorithms and sci.math.num-analysis


SEE ALSO
       rbox(1)

       Barber,  C.  B.,  D.P.  Dobkin,  and  H.T. Huhdanpaa, "The
       Quickhull Algorithm for Convex Hulls," ACM Trans. on Math-
       ematical Software, 22(4):469-483, Dec. 1996.
       http://portal.acm.org/citation.cfm?doid=235815.235821
       http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.405


       Clarkson, K.L., K. Mehlhorn, and R. Seidel, "Four  results
       on  randomized  incremental  construction,"  Computational
       Geometry: Theory and Applications,  vol.  3,  p.  185-211,
       1993.

       Preparata,  F.  and  M.  Shamos,  Computational  Geometry,
       Springer-Verlag, New York, 1985.



AUTHORS
         C. Bradford Barber                    Hannu Huhdanpaa
         bradb@shore.net                       hannu@qhull.org



ACKNOWLEDGEMENTS
       A special thanks to Albert Marden, Victor Milenkovic,  the
       Geometry Center, Harvard University, and Endocardial Solu-
       tions, Inc. for supporting this work.

       Qhull 1.0 and 2.0 were developed under National Science Foundation
       grants NSF/DMS-8920161 and NSF-CCR-91-15793 750-7504.  David Dobkin



Geometry Center              2019/05/03                18





qhull(1)                                                 qhull(1)


       guided the original work at Princeton University.  If you find it
       useful, please let us know.

       The Geometry Center was supported by grant DMS-8920161 from the National
       Science Foundation, by grant DOE/DE-FG02-92ER25137 from the Department
       of Energy, by the University of Minnesota, and by Minnesota Technology, Inc.

       Qhull is available from http://www.qhull.org

Geometry Center              2019/05/03                19





rbox(1)                                                   rbox(1)


NAME
       rbox - generate point distributions for qhull

SYNOPSIS
       Command "rbox" (w/o arguments) lists the options.

DESCRIPTION
       rbox  generates random or regular points according to the
       options given, and  outputs  the  points  to  stdout.  The
       points  are  generated in a cube, unless 's' or given. The
       format of the output is the following: first line contains
       the dimension and a comment, second line contains the num-
       ber of points, and the following lines contain the points,
       one  point per line. Points are represented by their coor-
       dinate values.

EXAMPLES
       rbox 10
              10 random points in the unit cube centered  at  the
              origin.

       rbox 10 s D2
              10 random points on a 2-d circle.

       rbox 100 W0
              100 random points on the surface of a cube.

       rbox 1000 s D4
              1000 random points on a 4-d sphere.

       rbox c D5 O0.5
              a 5-d hypercube with one corner at the origin.

       rbox d D10
              a 10-d diamond.

       rbox x 1000 r W0
              100 random points on the surface of a fixed simplex

       rbox y D12
              a 12-d simplex.

       rbox l 10
              10 random points along a spiral

       rbox l 10 r
              10 regular points  along  a  spiral  plus  two  end
              points

       rbox 1000 L10000 D4 s
              1000 random points on the surface of a narrow lens.

       rbox c G2 d G3
              a cube with coordinates +2/-2 and  a  diamond  with



Geometry Center          August 10, 1998                        1





rbox(1)                                                   rbox(1)


              coordinates +3/-3.

       rbox 64 M3,4 z
              a  rotated,  {0,1,2,3} x {0,1,2,3} x {0,1,2,3} lat-
              tice (Mesh) of integer points.

       rbox P0 P0 P0 P0 P0
              5 copies of the origin in 3-d.  Try 'rbox P0 P0  P0
              P0 P0 | qhull QJ'.

       r 100 s Z1 G0.1
              two  cospherical  100-gons plus another cospherical
              point.

       100 s Z1
              a cone of points.

       100 s Z1e-7
              a narrow cone of points with many precision errors.

OPTIONS
       n      number of points

       Dn     dimension n-d (default 3-d)

       Bn     bounding box coordinates (default 0.5)

       l      spiral distribution, available only in 3-d

       Ln     lens  distribution  of  radius n.  May be used with
              's', 'r', 'G', and 'W'.

       Mn,m,r lattice  (Mesh)  rotated  by  {[n,-m,0],   [m,n,0],
              [0,0,r],  ...}.   Use  'Mm,n'  for a rigid rotation
              with r = sqrt(n^2+m^2).  'M1,0'  is  an  orthogonal
              lattice.   For  example,  '27  M1,0'  is  {0,1,2} x
              {0,1,2} x {0,1,2}.

       s      cospherical points randomly generated in a cube and
              projected to the unit sphere

       x      simplicial  distribution.   It  is fixed for option
              'r'.  May be used with 'W'.

       y      simplicial distribution plus a simplex.   Both  'x'
              and 'y' generate the same points.

       Wn     restrict  points  to distance n of the surface of a
              sphere or a cube

       c      add a unit cube to the output

       c Gm   add a cube with all combinations of +m  and  -m  to
              the output



Geometry Center          August 10, 1998                        2





rbox(1)                                                   rbox(1)


       d      add a unit diamond to the output.

       d Gm   add a diamond made of 0, +m and -m to the output
       
       Cn,r,m add n nearly coincident points within radius r of m points

       Pn,m,r add point [n,m,r] to the output first.  Pad coordi-
              nates with 0.0.

       n      Remove the command line from the first line of out-
              put.

       On     offset the data by adding n to each coordinate.

       t      use  time  in  seconds  as  the  random number seed
              (default is command line).

       tn     set the random number seed to n.

       z      generate integer coordinates.  Use 'Bn'  to  change
              the  range.   The  default  is 'B1e6' for six-digit
              coordinates.  In R^4, seven-digit coordinates  will
              overflow hyperplane normalization.

       Zn s   restrict points to a disk about the z+ axis and the
              sphere (default Z1.0).  Includes the opposite pole.
              'Z1e-6'  generates  degenerate  points under single
              precision.

       Zn Gm s
              same as Zn with an empty center (default G0.5).

       r s D2 generate a regular polygon

       r s Z1 G0.1
              generate a regular cone

BUGS
       Some combinations of arguments generate odd results.

       Report bugs to  qhull_bug@qhull.org,     other  correspon-
       dence to qhull@qhull.org

SEE ALSO
       qhull(1)

AUTHOR
       C. Bradford Barber
       bradb@shore.net
       




Geometry Center          August 10, 1998                        3



# end of q_test
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   create-stamp debian/debhelper-build-stamp
   dh_testroot -a -O--buildsystem=cmake
   dh_prep -a -O--buildsystem=cmake
   debian/rules override_dh_auto_install
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_auto_install --buildsystem=cmake
	cd obj-arm-linux-gnueabihf && make -j4 install DESTDIR=/<<PKGBUILDDIR>>/debian/tmp AM_UPDATE_INFO_DIR=no "INSTALL=install --strip-program=true"
make[2]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
/usr/bin/cmake -S/<<PKGBUILDDIR>> -B/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf --check-build-system CMakeFiles/Makefile.cmake 0
make  -f CMakeFiles/Makefile2 preinstall
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make[3]: Nothing to be done for 'preinstall'.
make[3]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
Install the project...
/usr/bin/cmake -P cmake_install.cmake
-- Install configuration: "None"
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.8.0.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.8.0
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_r.so.8.0.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_r.so.8.0
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_r.so
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull.so.8.0.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull.so.8.0
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull.so
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.a
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullstatic.a
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullstatic_r.a
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/bin/qhull
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/bin/rbox
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/bin/qconvex
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/bin/qdelaunay
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/bin/qvoronoi
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/bin/qhalf
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullTargets.cmake
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullTargets-none.cmake
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullConfig.cmake
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullConfigVersion.cmake
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/pkgconfig/qhull_r.pc
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/pkgconfig/qhullstatic.pc
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/pkgconfig/qhull.pc
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/pkgconfig/qhullstatic_r.pc
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/pkgconfig/qhullcpp.pc
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/libqhull.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/geom.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/io.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/mem.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/merge.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/poly.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qhull_a.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qset.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/random.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/stat.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/user.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/DEPRECATED.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/libqhull_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/geom_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/io_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/mem_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/merge_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/poly_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qhull_ra.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qset_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/random_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/stat_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/user_r.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/Coordinates.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/functionObjects.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/PointCoordinates.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/Qhull.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullError.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullFacet.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullFacetList.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullFacetSet.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullHyperplane.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullIterator.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullLinkedList.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullPoint.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullPoints.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullPointSet.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullQh.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullRidge.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullSet.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullSets.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullStat.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullUser.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullVertex.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/QhullVertexSet.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/RboxPoints.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/RoadError.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/RoadLogEvent.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhullcpp/RoadTest.h
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/man/man1/qhull.1
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/man/man1/rbox.1
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/README.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/REGISTER.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/Announce.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/COPYING.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/index.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/index.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/normal_voronoi_knauss_oesterle.jpg
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qconvex.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qdelaun.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qdelau_f.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--4d.gif
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--cone.gif
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--dt.gif
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--geom.gif
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--half.gif
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--rand.gif
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-code.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-eg.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-faq.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-impre.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optc.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optf.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optg.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-opto.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optp.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optq.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optt.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-quick.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhalf.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull-cpp.xml
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.man
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh_findbestfacet-drielsma.pdf
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qvoronoi.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qvoron_f.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.man
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.txt
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-get.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/src/Changes.txt
make[2]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   debian/rules execute_after_dh_auto_install
make[1]: Entering directory '/<<PKGBUILDDIR>>'
No need for extra copy of license
rm --verbose debian/tmp/usr/share/doc/libqhull-dev/qhull/COPYING.txt
removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/COPYING.txt'
No need for doc/ copies of man pages in ../../man/man1/ or for other formats.
removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.man'
removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.txt'
removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.man'
removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.txt'
rm --verbose debian/tmp/usr/share/doc/libqhull-dev/qhull/src/Changes.txt
removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/Changes.txt'
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_install -a -O--buildsystem=cmake
   dh_installdocs -a -O--buildsystem=cmake
   debian/rules override_dh_installchangelogs
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_installchangelogs src/Changes.txt
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_installexamples -a -O--buildsystem=cmake
   dh_installman -a -O--buildsystem=cmake
   dh_installsystemduser -a -O--buildsystem=cmake
   dh_perl -a -O--buildsystem=cmake
   dh_link -a -O--buildsystem=cmake
   dh_strip_nondeterminism -a -O--buildsystem=cmake
   debian/rules override_dh_compress
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_compress -X.c -X.h -X.txt
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_fixperms -a -O--buildsystem=cmake
   dh_missing -a -O--buildsystem=cmake
   dh_dwz -a -a -O--buildsystem=cmake
   dh_strip -a -a -O--buildsystem=cmake
   dh_makeshlibs -a -a -O--buildsystem=cmake
   dh_shlibdeps -a -a -O--buildsystem=cmake
dpkg-shlibdeps: warning: package could avoid a useless dependency if debian/qhull-bin/usr/bin/rbox debian/qhull-bin/usr/bin/qhull debian/qhull-bin/usr/bin/qconvex debian/qhull-bin/usr/bin/qdelaunay debian/qhull-bin/usr/bin/qhalf debian/qhull-bin/usr/bin/qvoronoi were not linked against ld-linux-armhf.so.3 (they use none of the library's symbols)
dpkg-shlibdeps: warning: symbol __aeabi_atexit@CXXABI_ARM_1.3.3 used by debian/libqhullcpp8.0/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.8.0.2 found in none of the libraries
   dh_installdeb -a -O--buildsystem=cmake
   dh_gencontrol -a -O--buildsystem=cmake
   dh_md5sums -a -O--buildsystem=cmake
   dh_builddeb -a -O--buildsystem=cmake
dpkg-deb: building package 'libqhull8.0' in '../libqhull8.0_2020.2-3_armhf.deb'.
dpkg-deb: building package 'libqhull-r8.0-dbgsym' in '../libqhull-r8.0-dbgsym_2020.2-3_armhf.deb'.
dpkg-deb: building package 'libqhull-dev' in '../libqhull-dev_2020.2-3_armhf.deb'.
dpkg-deb: building package 'libqhullcpp8.0' in '../libqhullcpp8.0_2020.2-3_armhf.deb'.
dpkg-deb: building package 'libqhull8.0-dbgsym' in '../libqhull8.0-dbgsym_2020.2-3_armhf.deb'.
dpkg-deb: building package 'libqhullcpp8.0-dbgsym' in '../libqhullcpp8.0-dbgsym_2020.2-3_armhf.deb'.
dpkg-deb: building package 'libqhull-r8.0' in '../libqhull-r8.0_2020.2-3_armhf.deb'.
dpkg-deb: building package 'qhull-bin' in '../qhull-bin_2020.2-3_armhf.deb'.
dpkg-deb: building package 'qhull-bin-dbgsym' in '../qhull-bin-dbgsym_2020.2-3_armhf.deb'.
 dpkg-genbuildinfo --build=any
 dpkg-genchanges --build=any -mRaspbian mythic lxc autobuilder 1 <root@raspbian.org> >../qhull_2020.2-3_armhf.changes
dpkg-genchanges: info: binary-only arch-specific upload (source code and arch-indep packages not included)
 dpkg-source --after-build .
dpkg-buildpackage: info: binary-only upload (no source included)
--------------------------------------------------------------------------------
Build finished at 2020-12-04T05:28:35Z

Finished
--------

I: Built successfully

+------------------------------------------------------------------------------+
| Post Build Chroot                                                            |
+------------------------------------------------------------------------------+


+------------------------------------------------------------------------------+
| Changes                                                                      |
+------------------------------------------------------------------------------+


qhull_2020.2-3_armhf.changes:
-----------------------------

Format: 1.8
Date: Thu, 26 Nov 2020 23:59:26 +0100
Source: qhull
Binary: libqhull-dev libqhull-r8.0 libqhull-r8.0-dbgsym libqhull8.0 libqhull8.0-dbgsym libqhullcpp8.0 libqhullcpp8.0-dbgsym qhull-bin qhull-bin-dbgsym
Architecture: armhf
Version: 2020.2-3
Distribution: bullseye-staging
Urgency: medium
Maintainer: Raspbian mythic lxc autobuilder 1 <root@raspbian.org>
Changed-By: Timo Röhling <timo@gaussglocke.de>
Description:
 libqhull-dev - calculate convex hulls and related structures (development files)
 libqhull-r8.0 - calculate convex hulls and related structures (reentrant shared l
 libqhull8.0 - calculate convex hulls and related structures (shared library)
 libqhullcpp8.0 - calculate convex hulls and related structures (C++ shared library
 qhull-bin  - calculate convex hulls and related structures (utilities)
Changes:
 qhull (2020.2-3) unstable; urgency=medium
 .
   * New approach to filter libstdc++ symbols (should fix FTBFS on kfreebsd-*)
   * Add myself as uploader
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+------------------------------------------------------------------------------+
| Package contents                                                             |
+------------------------------------------------------------------------------+


libqhull-dev_2020.2-3_armhf.deb
-------------------------------

 new Debian package, version 2.0.
 size 434804 bytes: control archive=2416 bytes.
     823 bytes,    19 lines      control              
    4632 bytes,    64 lines      md5sums              
 Package: libqhull-dev
 Source: qhull
 Version: 2020.2-3
 Architecture: armhf
 Maintainer: Debian Science Maintainers <debian-science-maintainers@alioth-lists.debian.net>
 Installed-Size: 1856
 Depends: libqhull8.0 (= 2020.2-3), libqhull-r8.0 (= 2020.2-3), libqhullcpp8.0 (= 2020.2-3)
 Section: libdevel
 Priority: optional
 Multi-Arch: same
 Homepage: https://www.qhull.org
 Description: calculate convex hulls and related structures (development files)
  Qhull computes convex hulls, Delaunay triangulations, halfspace
  intersections about a point, Voronoi diagrams, furthest-site
  Delaunay triangulations, and furthest-site Voronoi diagrams. It
  runs in 2-d, 3-d, 4-d, and higher dimensions.
  .
  This package contains the files necessary for development (headers and
  libraries), as well as the library documentation in HTML format.

drwxr-xr-x root/root         0 2020-11-26 22:59 ./
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/include/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/include/libqhull/
-rw-r--r-- root/root      1428 2020-05-24 19:59 ./usr/include/libqhull/DEPRECATED.txt
-rw-r--r-- root/root      7559 2020-05-22 02:00 ./usr/include/libqhull/geom.h
-rw-r--r-- root/root      7853 2020-05-22 02:00 ./usr/include/libqhull/io.h
-rw-r--r-- root/root     59922 2020-05-24 02:23 ./usr/include/libqhull/libqhull.h
-rw-r--r-- root/root      8772 2020-05-22 02:00 ./usr/include/libqhull/mem.h
-rw-r--r-- root/root     11362 2020-05-22 02:00 ./usr/include/libqhull/merge.h
-rw-r--r-- root/root     11602 2020-06-02 17:21 ./usr/include/libqhull/poly.h
-rw-r--r-- root/root      5064 2020-05-22 02:00 ./usr/include/libqhull/qhull_a.h
-rw-r--r-- root/root     15121 2020-05-22 02:00 ./usr/include/libqhull/qset.h
-rw-r--r-- root/root       944 2020-05-22 02:00 ./usr/include/libqhull/random.h
-rw-r--r-- root/root     13683 2020-05-22 02:00 ./usr/include/libqhull/stat.h
-rw-r--r-- root/root     38319 2020-05-24 02:32 ./usr/include/libqhull/user.h
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/include/libqhull_r/
-rw-r--r-- root/root      8111 2020-05-22 02:00 ./usr/include/libqhull_r/geom_r.h
-rw-r--r-- root/root      8579 2020-05-22 02:00 ./usr/include/libqhull_r/io_r.h
-rw-r--r-- root/root     60736 2020-09-02 02:21 ./usr/include/libqhull_r/libqhull_r.h
-rw-r--r-- root/root      9142 2020-05-22 02:00 ./usr/include/libqhull_r/mem_r.h
-rw-r--r-- root/root     12155 2020-05-22 02:00 ./usr/include/libqhull_r/merge_r.h
-rw-r--r-- root/root     12315 2020-06-02 17:21 ./usr/include/libqhull_r/poly_r.h
-rw-r--r-- root/root      5471 2020-05-22 02:00 ./usr/include/libqhull_r/qhull_ra.h
-rw-r--r-- root/root     15675 2020-05-22 02:00 ./usr/include/libqhull_r/qset_r.h
-rw-r--r-- root/root      1074 2020-05-22 02:00 ./usr/include/libqhull_r/random_r.h
-rw-r--r-- root/root     13237 2020-05-22 02:00 ./usr/include/libqhull_r/stat_r.h
-rw-r--r-- root/root     36642 2020-05-20 01:14 ./usr/include/libqhull_r/user_r.h
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/include/libqhullcpp/
-rw-r--r-- root/root     12862 2020-07-24 22:43 ./usr/include/libqhullcpp/Coordinates.h
-rw-r--r-- root/root      6989 2020-07-24 22:31 ./usr/include/libqhullcpp/PointCoordinates.h
-rw-r--r-- root/root      6690 2020-05-23 14:25 ./usr/include/libqhullcpp/Qhull.h
-rw-r--r-- root/root      2373 2020-05-22 02:00 ./usr/include/libqhullcpp/QhullError.h
-rw-r--r-- root/root      7623 2020-06-02 16:48 ./usr/include/libqhullcpp/QhullFacet.h
-rw-r--r-- root/root      4377 2020-07-24 01:39 ./usr/include/libqhullcpp/QhullFacetList.h
-rw-r--r-- root/root      4288 2020-07-24 02:47 ./usr/include/libqhullcpp/QhullFacetSet.h
-rw-r--r-- root/root      6983 2020-07-30 17:44 ./usr/include/libqhullcpp/QhullHyperplane.h
-rw-r--r-- root/root      8078 2020-07-23 23:05 ./usr/include/libqhullcpp/QhullIterator.h
-rw-r--r-- root/root     12622 2020-07-30 22:25 ./usr/include/libqhullcpp/QhullLinkedList.h
-rw-r--r-- root/root      7906 2020-07-30 17:43 ./usr/include/libqhullcpp/QhullPoint.h
-rw-r--r-- root/root      3063 2020-07-24 02:50 ./usr/include/libqhullcpp/QhullPointSet.h
-rw-r--r-- root/root     19006 2020-07-24 01:39 ./usr/include/libqhullcpp/QhullPoints.h
-rw-r--r-- root/root      4303 2020-06-03 22:08 ./usr/include/libqhullcpp/QhullQh.h
-rw-r--r-- root/root      5149 2020-07-24 02:54 ./usr/include/libqhullcpp/QhullRidge.h
-rw-r--r-- root/root     19375 2020-08-13 23:48 ./usr/include/libqhullcpp/QhullSet.h
-rw-r--r-- root/root       795 2020-05-22 02:00 ./usr/include/libqhullcpp/QhullSets.h
-rw-r--r-- root/root      1292 2020-05-22 02:00 ./usr/include/libqhullcpp/QhullStat.h
-rw-r--r-- root/root      5258 2020-07-31 00:00 ./usr/include/libqhullcpp/QhullUser.h
-rw-r--r-- root/root      4702 2020-07-23 00:59 ./usr/include/libqhullcpp/QhullVertex.h
-rw-r--r-- root/root      3729 2020-07-24 02:54 ./usr/include/libqhullcpp/QhullVertexSet.h
-rw-r--r-- root/root      2426 2020-05-30 18:55 ./usr/include/libqhullcpp/RboxPoints.h
-rw-r--r-- root/root      3368 2020-05-29 01:54 ./usr/include/libqhullcpp/RoadError.h
-rw-r--r-- root/root      3577 2020-07-21 21:13 ./usr/include/libqhullcpp/RoadLogEvent.h
-rw-r--r-- root/root      2201 2020-07-30 23:12 ./usr/include/libqhullcpp/RoadTest.h
-rw-r--r-- root/root      1539 2020-05-22 02:00 ./usr/include/libqhullcpp/functionObjects.h
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/cmake/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/cmake/Qhull/
-rw-r--r-- root/root        56 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullConfig.cmake
-rw-r--r-- root/root      1382 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullConfigVersion.cmake
-rw-r--r-- root/root      3418 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullTargets-none.cmake
-rw-r--r-- root/root      5203 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/cmake/Qhull/QhullTargets.cmake
lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhull.so -> libqhull.so.8.0
lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhull_r.so -> libqhull_r.so.8.0
-rw-r--r-- root/root    261240 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhullcpp.a
lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhullcpp.so -> libqhullcpp.so.8.0
-rw-r--r-- root/root    488266 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhullstatic.a
-rw-r--r-- root/root    495120 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhullstatic_r.a
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/pkgconfig/
-rw-r--r-- root/root       195 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/pkgconfig/qhull.pc
-rw-r--r-- root/root       209 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/pkgconfig/qhull_r.pc
-rw-r--r-- root/root       198 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/pkgconfig/qhullcpp.pc
-rw-r--r-- root/root       207 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/pkgconfig/qhullstatic.pc
-rw-r--r-- root/root       221 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/pkgconfig/qhullstatic_r.pc
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/doc/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/doc/libqhull-dev/
-rw-r--r-- root/root      6220 2020-11-26 22:59 ./usr/share/doc/libqhull-dev/changelog.Debian.gz
-rw-r--r-- root/root     56585 2020-09-04 02:07 ./usr/share/doc/libqhull-dev/changelog.gz
-rw-r--r-- root/root      2350 2020-11-11 14:13 ./usr/share/doc/libqhull-dev/copyright


libqhull-r8.0-dbgsym_2020.2-3_armhf.deb
---------------------------------------

 new Debian package, version 2.0.
 size 294988 bytes: control archive=552 bytes.
     412 bytes,    13 lines      control              
     106 bytes,     1 lines      md5sums              
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lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/share/doc/libqhull-r8.0-dbgsym -> libqhull-r8.0


libqhull-r8.0_2020.2-3_armhf.deb
--------------------------------

 new Debian package, version 2.0.
 size 221000 bytes: control archive=3056 bytes.
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 Maintainer: Debian Science Maintainers <debian-science-maintainers@alioth-lists.debian.net>
 Installed-Size: 500
 Depends: libc6 (>= 2.29)
 Section: libs
 Priority: optional
 Multi-Arch: same
 Homepage: https://www.qhull.org
 Description: calculate convex hulls and related structures (reentrant shared library)
  Qhull computes convex hulls, Delaunay triangulations, halfspace
  intersections about a point, Voronoi diagrams, furthest-site
  Delaunay triangulations, and furthest-site Voronoi diagrams. It
  runs in 2-d, 3-d, 4-d, and higher dimensions.
  .
  This package contains the reentrant version of the shared C library.

drwxr-xr-x root/root         0 2020-11-26 22:59 ./
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lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhull_r.so.8.0 -> libqhull_r.so.8.0.2
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-rw-r--r-- root/root      2350 2020-11-11 14:13 ./usr/share/doc/libqhull-r8.0/copyright


libqhull8.0-dbgsym_2020.2-3_armhf.deb
-------------------------------------

 new Debian package, version 2.0.
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drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/doc/
lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/share/doc/libqhull8.0-dbgsym -> libqhull8.0


libqhull8.0_2020.2-3_armhf.deb
------------------------------

 new Debian package, version 2.0.
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 Maintainer: Debian Science Maintainers <debian-science-maintainers@alioth-lists.debian.net>
 Installed-Size: 497
 Depends: libc6 (>= 2.29)
 Section: libs
 Priority: optional
 Multi-Arch: same
 Homepage: https://www.qhull.org
 Description: calculate convex hulls and related structures (shared library)
  Qhull computes convex hulls, Delaunay triangulations, halfspace
  intersections about a point, Voronoi diagrams, furthest-site
  Delaunay triangulations, and furthest-site Voronoi diagrams. It
  runs in 2-d, 3-d, 4-d, and higher dimensions.
  .
  This package contains the shared C library.

drwxr-xr-x root/root         0 2020-11-26 22:59 ./
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/
lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhull.so.8.0 -> libqhull.so.8.0.2
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-rw-r--r-- root/root      2350 2020-11-11 14:13 ./usr/share/doc/libqhull8.0/copyright


libqhullcpp8.0-dbgsym_2020.2-3_armhf.deb
----------------------------------------

 new Debian package, version 2.0.
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drwxr-xr-x root/root         0 2020-11-26 22:59 ./
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lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/share/doc/libqhullcpp8.0-dbgsym -> libqhullcpp8.0


libqhullcpp8.0_2020.2-3_armhf.deb
---------------------------------

 new Debian package, version 2.0.
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 Maintainer: Debian Science Maintainers <debian-science-maintainers@alioth-lists.debian.net>
 Installed-Size: 209
 Depends: libc6 (>= 2.4), libgcc-s1 (>= 3.5), libqhull-r8.0 (>= 2020.1), libstdc++6 (>= 5.2)
 Section: libs
 Priority: optional
 Multi-Arch: same
 Homepage: https://www.qhull.org
 Description: calculate convex hulls and related structures (C++ shared library)
  Qhull computes convex hulls, Delaunay triangulations, halfspace
  intersections about a point, Voronoi diagrams, furthest-site
  Delaunay triangulations, and furthest-site Voronoi diagrams. It
  runs in 2-d, 3-d, 4-d, and higher dimensions.
  .
  This package contains the shared C++ library.

drwxr-xr-x root/root         0 2020-11-26 22:59 ./
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/
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lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/lib/arm-linux-gnueabihf/libqhullcpp.so.8.0 -> libqhullcpp.so.8.0.2
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drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/doc/
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-rw-r--r-- root/root      2350 2020-11-11 14:13 ./usr/share/doc/libqhullcpp8.0/copyright


qhull-bin-dbgsym_2020.2-3_armhf.deb
-----------------------------------

 new Debian package, version 2.0.
 size 24984 bytes: control archive=852 bytes.
     587 bytes,    12 lines      control              
     725 bytes,     7 lines      md5sums              
 Package: qhull-bin-dbgsym
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drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/lib/debug/.dwz/
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-rw-r--r-- root/root      9552 2020-11-26 22:59 ./usr/lib/debug/.dwz/arm-linux-gnueabihf/qhull-bin.debug
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/
drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/doc/
lrwxrwxrwx root/root         0 2020-11-26 22:59 ./usr/share/doc/qhull-bin-dbgsym -> qhull-bin


qhull-bin_2020.2-3_armhf.deb
----------------------------

 new Debian package, version 2.0.
 size 97864 bytes: control archive=1292 bytes.
    1042 bytes,    24 lines      control              
     905 bytes,    15 lines      md5sums              
 Package: qhull-bin
 Source: qhull
 Version: 2020.2-3
 Architecture: armhf
 Maintainer: Debian Science Maintainers <debian-science-maintainers@alioth-lists.debian.net>
 Installed-Size: 193
 Depends: libc6 (>= 2.4), libqhull-r8.0 (>= 2020.1)
 Suggests: geomview
 Section: math
 Priority: optional
 Homepage: https://www.qhull.org
 Description: calculate convex hulls and related structures (utilities)
  Qhull computes convex hulls, Delaunay triangulations, halfspace
  intersections about a point, Voronoi diagrams, furthest-site
  Delaunay triangulations, and furthest-site Voronoi diagrams. It
  runs in 2-d, 3-d, 4-d, and higher dimensions.
  .
  This package contains the qhull executable that gives a pipe interface to
  some of the functionality of the library.  Also included is rbox is a
  useful tool in generating input for Qhull; it generates hypercubes,
  diamonds, cones, circles, simplices, spirals, lattices, and random points.
  .
  Qhull produces graphical output for Geomview.  This helps with
  understanding the output (http://www.geomview.org).

drwxr-xr-x root/root         0 2020-11-26 22:59 ./
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-rw-r--r-- root/root      2350 2020-11-11 14:13 ./usr/share/doc/qhull-bin/copyright
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drwxr-xr-x root/root         0 2020-11-26 22:59 ./usr/share/man/man1/
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-rw-r--r-- root/root       641 2020-11-26 22:59 ./usr/share/man/man1/qhalf.1.gz
-rw-r--r-- root/root     12910 2020-11-26 22:59 ./usr/share/man/man1/qhull.1.gz
-rw-r--r-- root/root       641 2020-11-26 22:59 ./usr/share/man/man1/qvoronoi.1.gz
-rw-r--r-- root/root      1919 2020-11-26 22:59 ./usr/share/man/man1/rbox.1.gz


+------------------------------------------------------------------------------+
| Post Build                                                                   |
+------------------------------------------------------------------------------+


+------------------------------------------------------------------------------+
| Cleanup                                                                      |
+------------------------------------------------------------------------------+

Purging /<<BUILDDIR>>
Not cleaning session: cloned chroot in use

+------------------------------------------------------------------------------+
| Summary                                                                      |
+------------------------------------------------------------------------------+

Build Architecture: armhf
Build-Space: 68344
Build-Time: 169
Distribution: bullseye-staging
Host Architecture: armhf
Install-Time: 606
Job: qhull_2020.2-3
Machine Architecture: armhf
Package: qhull
Package-Time: 797
Source-Version: 2020.2-3
Space: 68344
Status: successful
Version: 2020.2-3
--------------------------------------------------------------------------------
Finished at 2020-12-04T05:28:35Z
Build needed 00:13:17, 68344k disk space
Raspbian Package Auto-Building

Build log for qhull (2020.2-3) on armhf
