qhull →
2019.1-5 →
armhf → 2020-05-01 05:44:01
sbuild (Debian sbuild) 0.71.0 (24 Aug 2016) on bm-wb-01
+==============================================================================+
| qhull 2019.1-5 (armhf) Fri, 01 May 2020 05:20:00 +0000 |
+==============================================================================+
Package: qhull
Version: 2019.1-5
Source Version: 2019.1-5
Distribution: bullseye-staging
Machine Architecture: armhf
Host Architecture: armhf
Build Architecture: armhf
I: NOTICE: Log filtering will replace 'var/run/schroot/mount/bullseye-staging-armhf-sbuild-f32c7054-5539-4f0e-86c6-bebd1f36b1a0' 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 [11.6 MB]
Get:3 http://172.17.0.1/private bullseye-staging/main armhf Packages [12.8 MB]
Fetched 24.4 MB in 26s (924 kB/s)
Reading package lists...
+------------------------------------------------------------------------------+
| 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 1323 kB of source archives.
Get:1 http://172.17.0.1/private bullseye-staging/main qhull 2019.1-5 (dsc) [2352 B]
Get:2 http://172.17.0.1/private bullseye-staging/main qhull 2019.1-5 (tar) [1276 kB]
Get:3 http://172.17.0.1/private bullseye-staging/main qhull 2019.1-5 (diff) [45.1 kB]
Fetched 1323 kB in 0s (5430 kB/s)
Download complete and in download only mode
I: NOTICE: Log filtering will replace 'build/qhull-dNm07J/qhull-2019.1' with '<<PKGBUILDDIR>>'
I: NOTICE: Log filtering will replace 'build/qhull-dNm07J' 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-5nfif1/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-5nfif1/gpg/pubring.kbx' created
gpg: /<<BUILDDIR>>/resolver-5nfif1/gpg/trustdb.gpg: trustdb created
gpg: key 35506D9A48F77B2E: 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 35506D9A48F77B2E: "Sbuild Signer (Sbuild Build Dependency Archive Key) <buildd-tools-devel@lists.alioth.debian.org>" not changed
gpg: key 35506D9A48F77B2E: 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-5nfif1/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release [957 B]
Get:3 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release.gpg [370 B]
Ign:3 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release.gpg
Get:4 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Sources [349 B]
Get:5 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Packages [432 B]
Fetched 2108 B in 1s (2877 B/s)
Reading package lists...
W: copy:///<<BUILDDIR>>/resolver-5nfif1/apt_archive/./Release.gpg: The key(s) in the keyring /etc/apt/trusted.gpg.d/sbuild-build-depends-archive.gpg are ignored as the file is not readable by user '_apt' executing apt-key.
W: GPG error: copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release: The following signatures couldn't be verified because the public key is not available: NO_PUBKEY 35506D9A48F77B2E
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:
libpam-cap netbase
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 2 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-5nfif1/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 (23.2 kB/s)
Selecting previously unselected package sbuild-build-depends-core-dummy.
(Reading database ... 12224 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) ...
+------------------------------------------------------------------------------+
| Check architectures |
+------------------------------------------------------------------------------+
Arch check ok (armhf included in any all)
+------------------------------------------------------------------------------+
| Install package build dependencies |
+------------------------------------------------------------------------------+
Setup apt archive
-----------------
Merged Build-Depends: debhelper-compat (= 12), cmake, docbook2x (>= 0.8.8-3), xsltproc, docbook-xml
Filtered Build-Depends: debhelper-compat (= 12), cmake, docbook2x (>= 0.8.8-3), xsltproc, docbook-xml
dpkg-deb: building package 'sbuild-build-depends-qhull-dummy' in '/<<BUILDDIR>>/resolver-5nfif1/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-5nfif1/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release [963 B]
Get:3 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release.gpg [370 B]
Ign:3 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release.gpg
Get:4 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Sources [528 B]
Get:5 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Packages [605 B]
Fetched 2466 B in 1s (3212 B/s)
Reading package lists...
W: copy:///<<BUILDDIR>>/resolver-5nfif1/apt_archive/./Release.gpg: The key(s) in the keyring /etc/apt/trusted.gpg.d/sbuild-build-depends-archive.gpg are ignored as the file is not readable by user '_apt' executing apt-key.
W: GPG error: copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ Release: The following signatures couldn't be verified because the public key is not available: NO_PUBKEY 35506D9A48F77B2E
Reading package lists...
Install qhull build dependencies (apt-based resolver)
-----------------------------------------------------
Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
The following package was automatically installed and is no longer required:
libpam-cap
Use 'apt autoremove' to remove it.
The following additional packages will be installed:
autoconf automake autopoint autotools-dev bsdmainutils ca-certificates cmake
cmake-data debhelper dh-autoreconf dh-strip-nondeterminism docbook-xml
docbook2x dwz file gettext gettext-base groff-base intltool-debian
libarchive-zip-perl libarchive13 libbrotli1 libbsd0 libcroco3 libcurl4
libdebhelper-perl libelf1 libencode-locale-perl libexpat1
libfile-listing-perl libfile-stripnondeterminism-perl libglib2.0-0
libgssapi-krb5-2 libhtml-parser-perl libhtml-tagset-perl libhtml-tree-perl
libhttp-cookies-perl libhttp-date-perl libhttp-message-perl
libhttp-negotiate-perl libicu63 libio-html-perl libio-socket-ssl-perl
libjsoncpp1 libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0
liblwp-mediatypes-perl liblwp-protocol-https-perl libmagic-mgc libmagic1
libncurses6 libnet-http-perl libnet-ssleay-perl libnghttp2-14 libosp5
libpipeline1 libprocps8 libpsl5 librhash0 librtmp1 libsigsegv2 libssh2-1
libssl1.1 libsub-override-perl libtext-charwidth-perl libtext-unidecode-perl
libtext-wrapi18n-perl libtimedate-perl libtinfo5 libtool libtry-tiny-perl
libuchardet0 liburi-perl libuv1 libwww-perl libwww-robotrules-perl
libxml-libxml-perl libxml-namespacesupport-perl libxml-parser-perl
libxml-sax-base-perl libxml-sax-expat-perl libxml-sax-perl libxml2
libxslt1.1 m4 man-db opensp openssl perl-openssl-defaults po-debconf procps
sensible-utils sgml-base sgml-data tex-common texinfo ucf xml-core xsltproc
Suggested packages:
autoconf-archive gnu-standards autoconf-doc wamerican | wordlist whois
vacation cmake-doc ninja-build dh-make docbook docbook-dsssl docbook-xsl
docbook-defguide gettext-doc libasprintf-dev libgettextpo-dev groff lrzip
krb5-doc krb5-user libdata-dump-perl libcrypt-ssleay-perl libtool-doc
gfortran | fortran95-compiler gcj-jdk libauthen-ntlm-perl
libxml-sax-expatxs-perl m4-doc apparmor less www-browser doc-base
libmail-box-perl sgml-base-doc perlsgml w3-recs libxml2-utils texlive-base
texlive-latex-base texlive-plain-generic texlive-fonts-recommended
Recommended packages:
docbook-xsl curl | wget | lynx libarchive-cpio-perl libglib2.0-data
shared-mime-info xdg-user-dirs libhtml-format-perl krb5-locales libgpm2
publicsuffix libltdl-dev libdata-dump-perl libhtml-form-perl
libhttp-daemon-perl libmailtools-perl libmail-sendmail-perl psmisc
The following NEW packages will be installed:
autoconf automake autopoint autotools-dev bsdmainutils ca-certificates cmake
cmake-data debhelper dh-autoreconf dh-strip-nondeterminism docbook-xml
docbook2x dwz file gettext gettext-base groff-base intltool-debian
libarchive-zip-perl libarchive13 libbrotli1 libbsd0 libcroco3 libcurl4
libdebhelper-perl libelf1 libencode-locale-perl libexpat1
libfile-listing-perl libfile-stripnondeterminism-perl libglib2.0-0
libgssapi-krb5-2 libhtml-parser-perl libhtml-tagset-perl libhtml-tree-perl
libhttp-cookies-perl libhttp-date-perl libhttp-message-perl
libhttp-negotiate-perl libicu63 libio-html-perl libio-socket-ssl-perl
libjsoncpp1 libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0
liblwp-mediatypes-perl liblwp-protocol-https-perl libmagic-mgc libmagic1
libncurses6 libnet-http-perl libnet-ssleay-perl libnghttp2-14 libosp5
libpipeline1 libprocps8 libpsl5 librhash0 librtmp1 libsigsegv2 libssh2-1
libssl1.1 libsub-override-perl libtext-charwidth-perl libtext-unidecode-perl
libtext-wrapi18n-perl libtimedate-perl libtinfo5 libtool libtry-tiny-perl
libuchardet0 liburi-perl libuv1 libwww-perl libwww-robotrules-perl
libxml-libxml-perl libxml-namespacesupport-perl libxml-parser-perl
libxml-sax-base-perl libxml-sax-expat-perl libxml-sax-perl libxml2
libxslt1.1 m4 man-db opensp openssl perl-openssl-defaults po-debconf procps
sbuild-build-depends-qhull-dummy sensible-utils sgml-base sgml-data
tex-common texinfo ucf xml-core xsltproc
0 upgraded, 102 newly installed, 0 to remove and 2 not upgraded.
Need to get 34.1 MB/34.1 MB of archives.
After this operation, 131 MB of additional disk space will be used.
Get:1 copy:/<<BUILDDIR>>/resolver-5nfif1/apt_archive ./ sbuild-build-depends-qhull-dummy 0.invalid.0 [896 B]
Get:2 http://172.17.0.1/private bullseye-staging/main armhf libbsd0 armhf 0.10.0-1 [112 kB]
Get:3 http://172.17.0.1/private bullseye-staging/main armhf libtinfo5 armhf 6.2-1 [318 kB]
Get:4 http://172.17.0.1/private bullseye-staging/main armhf bsdmainutils armhf 11.1.2 [182 kB]
Get:5 http://172.17.0.1/private bullseye-staging/main armhf libuchardet0 armhf 0.0.6-3 [62.2 kB]
Get:6 http://172.17.0.1/private bullseye-staging/main armhf groff-base armhf 1.22.4-4 [783 kB]
Get:7 http://172.17.0.1/private bullseye-staging/main armhf libpipeline1 armhf 1.5.2-2 [29.6 kB]
Get:8 http://172.17.0.1/private bullseye-staging/main armhf man-db armhf 2.9.1-1 [1262 kB]
Get:9 http://172.17.0.1/private bullseye-staging/main armhf sgml-base all 1.30 [15.1 kB]
Get:10 http://172.17.0.1/private bullseye-staging/main armhf sensible-utils all 0.0.12+nmu1 [16.0 kB]
Get:11 http://172.17.0.1/private bullseye-staging/main armhf ucf all 3.0038+nmu1 [69.0 kB]
Get:12 http://172.17.0.1/private bullseye-staging/main armhf tex-common all 6.14 [53.3 kB]
Get:13 http://172.17.0.1/private bullseye-staging/main armhf libtext-charwidth-perl armhf 0.04-10 [10.1 kB]
Get:14 http://172.17.0.1/private bullseye-staging/main armhf libncurses6 armhf 6.2-1 [79.5 kB]
Get:15 http://172.17.0.1/private bullseye-staging/main armhf libprocps8 armhf 2:3.3.16-4 [59.8 kB]
Get:16 http://172.17.0.1/private bullseye-staging/main armhf procps armhf 2:3.3.16-4 [238 kB]
Get:17 http://172.17.0.1/private bullseye-staging/main armhf libmagic-mgc armhf 1:5.38-4 [262 kB]
Get:18 http://172.17.0.1/private bullseye-staging/main armhf libmagic1 armhf 1:5.38-4 [112 kB]
Get:19 http://172.17.0.1/private bullseye-staging/main armhf file armhf 1:5.38-4 [66.9 kB]
Get:20 http://172.17.0.1/private bullseye-staging/main armhf gettext-base armhf 0.19.8.1-10 [117 kB]
Get:21 http://172.17.0.1/private bullseye-staging/main armhf libsigsegv2 armhf 2.12-2 [32.3 kB]
Get:22 http://172.17.0.1/private bullseye-staging/main armhf m4 armhf 1.4.18-4 [185 kB]
Get:23 http://172.17.0.1/private bullseye-staging/main armhf autoconf all 2.69-11.1 [341 kB]
Get:24 http://172.17.0.1/private bullseye-staging/main armhf autotools-dev all 20180224.1 [77.0 kB]
Get:25 http://172.17.0.1/private bullseye-staging/main armhf automake all 1:1.16.2-1 [775 kB]
Get:26 http://172.17.0.1/private bullseye-staging/main armhf autopoint all 0.19.8.1-10 [435 kB]
Get:27 http://172.17.0.1/private bullseye-staging/main armhf libssl1.1 armhf 1.1.1g-1 [1272 kB]
Get:28 http://172.17.0.1/private bullseye-staging/main armhf openssl armhf 1.1.1g-1 [811 kB]
Get:29 http://172.17.0.1/private bullseye-staging/main armhf ca-certificates all 20190110 [157 kB]
Get:30 http://172.17.0.1/private bullseye-staging/main armhf cmake-data all 3.16.3-2 [1628 kB]
Get:31 http://172.17.0.1/private bullseye-staging/main armhf libicu63 armhf 63.2-3 [7987 kB]
Get:32 http://172.17.0.1/private bullseye-staging/main armhf libxml2 armhf 2.9.10+dfsg-5 [592 kB]
Get:33 http://172.17.0.1/private bullseye-staging/main armhf libarchive13 armhf 3.4.0-2 [292 kB]
Get:34 http://172.17.0.1/private bullseye-staging/main armhf libbrotli1 armhf 1.0.7-6.1 [255 kB]
Get:35 http://172.17.0.1/private bullseye-staging/main armhf libkrb5support0 armhf 1.17-7+rpi1 [61.5 kB]
Get:36 http://172.17.0.1/private bullseye-staging/main armhf libk5crypto3 armhf 1.17-7+rpi1 [112 kB]
Get:37 http://172.17.0.1/private bullseye-staging/main armhf libkeyutils1 armhf 1.6.1-2 [14.5 kB]
Get:38 http://172.17.0.1/private bullseye-staging/main armhf libkrb5-3 armhf 1.17-7+rpi1 [318 kB]
Get:39 http://172.17.0.1/private bullseye-staging/main armhf libgssapi-krb5-2 armhf 1.17-7+rpi1 [135 kB]
Get:40 http://172.17.0.1/private bullseye-staging/main armhf libnghttp2-14 armhf 1.40.0-1+b2 [74.2 kB]
Get:41 http://172.17.0.1/private bullseye-staging/main armhf libpsl5 armhf 0.21.0-1 [53.9 kB]
Get:42 http://172.17.0.1/private bullseye-staging/main armhf librtmp1 armhf 2.4+20151223.gitfa8646d.1-2+b1 [54.3 kB]
Get:43 http://172.17.0.1/private bullseye-staging/main armhf libssh2-1 armhf 1.8.0-2.1 [126 kB]
Get:44 http://172.17.0.1/private bullseye-staging/main armhf libcurl4 armhf 7.68.0-1 [286 kB]
Get:45 http://172.17.0.1/private bullseye-staging/main armhf libexpat1 armhf 2.2.9-1 [71.5 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 1.3.9-1 [133 kB]
Get:48 http://172.17.0.1/private bullseye-staging/main armhf libuv1 armhf 1.35.0-2 [115 kB]
Get:49 http://172.17.0.1/private bullseye-staging/main armhf cmake armhf 3.16.3-2 [2647 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 [184 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 1.8.0-1 [24.2 kB]
Get:56 http://172.17.0.1/private bullseye-staging/main armhf dh-strip-nondeterminism all 1.8.0-1 [14.8 kB]
Get:57 http://172.17.0.1/private bullseye-staging/main armhf libelf1 armhf 0.176-1.1 [158 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 2.64.2-1 [1158 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 [1002 kB]
Get:65 http://172.17.0.1/private bullseye-staging/main armhf xml-core all 0.18+nmu1 [23.8 kB]
Get:66 http://172.17.0.1/private bullseye-staging/main armhf sgml-data all 2.0.11 [179 kB]
Get:67 http://172.17.0.1/private bullseye-staging/main armhf docbook-xml all 4.5-9 [84.4 kB]
Get:68 http://172.17.0.1/private bullseye-staging/main armhf libxml-namespacesupport-perl all 1.12-1 [14.8 kB]
Get:69 http://172.17.0.1/private bullseye-staging/main armhf liburi-perl all 1.76-2 [90.2 kB]
Get:70 http://172.17.0.1/private bullseye-staging/main armhf libencode-locale-perl all 1.05-1 [13.7 kB]
Get:71 http://172.17.0.1/private bullseye-staging/main armhf libtimedate-perl all 2.3200-1 [39.1 kB]
Get:72 http://172.17.0.1/private bullseye-staging/main armhf libhttp-date-perl all 6.05-1 [10.4 kB]
Get:73 http://172.17.0.1/private bullseye-staging/main armhf libfile-listing-perl all 6.04-1 [10.3 kB]
Get:74 http://172.17.0.1/private bullseye-staging/main armhf libhtml-tagset-perl all 3.20-4 [13.0 kB]
Get:75 http://172.17.0.1/private bullseye-staging/main armhf libhtml-parser-perl armhf 3.72-5 [101 kB]
Get:76 http://172.17.0.1/private bullseye-staging/main armhf libhtml-tree-perl all 5.07-2 [213 kB]
Get:77 http://172.17.0.1/private bullseye-staging/main armhf libio-html-perl all 1.001-1 [17.6 kB]
Get:78 http://172.17.0.1/private bullseye-staging/main armhf liblwp-mediatypes-perl all 6.04-1 [19.9 kB]
Get:79 http://172.17.0.1/private bullseye-staging/main armhf libhttp-message-perl all 6.22-1 [78.9 kB]
Get:80 http://172.17.0.1/private bullseye-staging/main armhf libhttp-cookies-perl all 6.08-1 [19.3 kB]
Get:81 http://172.17.0.1/private bullseye-staging/main armhf libhttp-negotiate-perl all 6.01-1 [12.8 kB]
Get:82 http://172.17.0.1/private bullseye-staging/main armhf perl-openssl-defaults armhf 4 [7148 B]
Get:83 http://172.17.0.1/private bullseye-staging/main armhf libnet-ssleay-perl armhf 1.88-3 [301 kB]
Get:84 http://172.17.0.1/private bullseye-staging/main armhf libio-socket-ssl-perl all 2.067-1 [212 kB]
Get:85 http://172.17.0.1/private bullseye-staging/main armhf libnet-http-perl all 6.19-1 [24.8 kB]
Get:86 http://172.17.0.1/private bullseye-staging/main armhf liblwp-protocol-https-perl all 6.07-2 [9242 B]
Get:87 http://172.17.0.1/private bullseye-staging/main armhf libtry-tiny-perl all 0.30-1 [23.3 kB]
Get:88 http://172.17.0.1/private bullseye-staging/main armhf libwww-robotrules-perl all 6.02-1 [12.9 kB]
Get:89 http://172.17.0.1/private bullseye-staging/main armhf libwww-perl all 6.44-1 [191 kB]
Get:90 http://172.17.0.1/private bullseye-staging/main armhf libxml-parser-perl armhf 2.46-1+b1 [203 kB]
Get:91 http://172.17.0.1/private bullseye-staging/main armhf libxml-sax-base-perl all 1.09-1 [20.4 kB]
Get:92 http://172.17.0.1/private bullseye-staging/main armhf libxml-sax-perl all 1.02+dfsg-1 [59.0 kB]
Get:93 http://172.17.0.1/private bullseye-staging/main armhf libxml-sax-expat-perl all 0.51-1 [12.0 kB]
Get:94 http://172.17.0.1/private bullseye-staging/main armhf libosp5 armhf 1.5.2-13 [880 kB]
Get:95 http://172.17.0.1/private bullseye-staging/main armhf opensp armhf 1.5.2-13 [439 kB]
Get:96 http://172.17.0.1/private bullseye-staging/main armhf libtext-unidecode-perl all 1.30-1 [103 kB]
Get:97 http://172.17.0.1/private bullseye-staging/main armhf libxml-libxml-perl armhf 2.0134+dfsg-2 [326 kB]
Get:98 http://172.17.0.1/private bullseye-staging/main armhf texinfo armhf 6.7.0.dfsg.2-5 [1745 kB]
Get:99 http://172.17.0.1/private bullseye-staging/main armhf libxslt1.1 armhf 1.1.34-4 [218 kB]
Get:100 http://172.17.0.1/private bullseye-staging/main armhf xsltproc armhf 1.1.34-4 [123 kB]
Get:101 http://172.17.0.1/private bullseye-staging/main armhf docbook2x armhf 0.8.8-17+b1 [294 kB]
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Setting up libxml2:armhf (2.9.10+dfsg-5) ...
Setting up liburi-perl (1.76-2) ...
Setting up libprocps8:armhf (2:3.3.16-4) ...
Setting up libjsoncpp1:armhf (1.7.4-3.1) ...
Setting up libnet-ssleay-perl (1.88-3) ...
Setting up libfile-stripnondeterminism-perl (1.8.0-1) ...
Setting up libhttp-date-perl (6.05-1) ...
Setting up libfile-listing-perl (6.04-1) ...
Setting up libtool (2.4.6-14) ...
Setting up libarchive13:armhf (3.4.0-2) ...
Setting up libnet-http-perl (6.19-1) ...
Setting up m4 (1.4.18-4) ...
Setting up opensp (1.5.2-13) ...
Setting up ca-certificates (20190110) ...
Updating certificates in /etc/ssl/certs...
128 added, 0 removed; done.
Setting up bsdmainutils (11.1.2) ...
update-alternatives: using /usr/bin/bsd-write to provide /usr/bin/write (write) in auto mode
update-alternatives: using /usr/bin/bsd-from to provide /usr/bin/from (from) in auto mode
Setting up libgssapi-krb5-2:armhf (1.17-7+rpi1) ...
Setting up libcroco3:armhf (0.6.13-1) ...
Setting up ucf (3.0038+nmu1) ...
Setting up autoconf (2.69-11.1) ...
Setting up dh-strip-nondeterminism (1.8.0-1) ...
Setting up libwww-robotrules-perl (6.02-1) ...
Setting up dwz (0.13-5) ...
Setting up groff-base (1.22.4-4) ...
Setting up xml-core (0.18+nmu1) ...
Setting up libhtml-parser-perl (3.72-5) ...
Setting up procps (2:3.3.16-4) ...
update-alternatives: using /usr/bin/w.procps to provide /usr/bin/w (w) in auto mode
Setting up libxslt1.1:armhf (1.1.34-4) ...
Setting up libcurl4:armhf (7.68.0-1) ...
Setting up libio-socket-ssl-perl (2.067-1) ...
Setting up libhttp-message-perl (6.22-1) ...
Setting up automake (1:1.16.2-1) ...
update-alternatives: using /usr/bin/automake-1.16 to provide /usr/bin/automake (automake) in auto mode
Setting up libhttp-negotiate-perl (6.01-1) ...
Setting up gettext (0.19.8.1-10) ...
Setting up libhttp-cookies-perl (6.08-1) ...
Setting up libhtml-tree-perl (5.07-2) ...
Setting up xsltproc (1.1.34-4) ...
Setting up man-db (2.9.1-1) ...
Not building database; man-db/auto-update is not 'true'.
Setting up libxml-sax-perl (1.02+dfsg-1) ...
update-perl-sax-parsers: Registering Perl SAX parser XML::SAX::PurePerl with priority 10...
update-perl-sax-parsers: Updating overall Perl SAX parser modules info file...
Creating config file /etc/perl/XML/SAX/ParserDetails.ini with new version
Setting up intltool-debian (0.35.0+20060710.5) ...
Setting up tex-common (6.14) ...
update-language: texlive-base not installed and configured, doing nothing!
Setting up libxml-libxml-perl (2.0134+dfsg-2) ...
update-perl-sax-parsers: Registering Perl SAX parser XML::LibXML::SAX::Parser with priority 50...
update-perl-sax-parsers: Registering Perl SAX parser XML::LibXML::SAX with priority 50...
update-perl-sax-parsers: Updating overall Perl SAX parser modules info file...
Replacing config file /etc/perl/XML/SAX/ParserDetails.ini with new version
Setting up cmake (3.16.3-2) ...
Setting up po-debconf (1.0.21) ...
Setting up texinfo (6.7.0.dfsg.2-5) ...
Setting up libwww-perl (6.44-1) ...
Setting up dh-autoreconf (19) ...
Setting up liblwp-protocol-https-perl (6.07-2) ...
Setting up libxml-parser-perl (2.46-1+b1) ...
Setting up debhelper (13) ...
Setting up libxml-sax-expat-perl (0.51-1) ...
update-perl-sax-parsers: Registering Perl SAX parser XML::SAX::Expat with priority 50...
update-perl-sax-parsers: Updating overall Perl SAX parser modules info file...
Replacing config file /etc/perl/XML/SAX/ParserDetails.ini with new version
Processing triggers for libc-bin (2.30-4+rpi1) ...
Processing triggers for sgml-base (1.30) ...
Setting up sgml-data (2.0.11) ...
Setting up docbook2x (0.8.8-17+b1) ...
Processing triggers for sgml-base (1.30) ...
Setting up docbook-xml (4.5-9) ...
Processing triggers for sgml-base (1.30) ...
Setting up sbuild-build-depends-qhull-dummy (0.invalid.0) ...
Processing triggers for ca-certificates (20190110) ...
Updating certificates in /etc/ssl/certs...
0 added, 0 removed; done.
Running hooks in /etc/ca-certificates/update.d...
done.
+------------------------------------------------------------------------------+
| Build environment |
+------------------------------------------------------------------------------+
Kernel: Linux 4.9.0-0.bpo.1-armmp armhf (armv7l)
Toolchain package versions: binutils_2.34-5+rpi1 dpkg-dev_1.19.7 g++-9_9.3.0-10+rpi1 gcc-9_9.3.0-10+rpi1 libc6-dev_2.30-4+rpi1 libstdc++-9-dev_9.3.0-10+rpi1 libstdc++6_10-20200418-1+rpi1 linux-libc-dev_5.2.17-1+rpi1+b2
Package versions: adduser_3.118 apt_2.0.2 autoconf_2.69-11.1 automake_1:1.16.2-1 autopoint_0.19.8.1-10 autotools-dev_20180224.1 base-files_11+rpi1 base-passwd_3.5.47 bash_5.0-6 binutils_2.34-5+rpi1 binutils-arm-linux-gnueabihf_2.34-5+rpi1 binutils-common_2.34-5+rpi1 bsdmainutils_11.1.2 bsdutils_1:2.34-0.1 build-essential_12.8 bzip2_1.0.8-2 ca-certificates_20190110 cmake_3.16.3-2 cmake-data_3.16.3-2 coreutils_8.30-3 cpp_4:9.2.1-3.1+rpi1 cpp-9_9.3.0-10+rpi1 dash_0.5.10.2-7 debconf_1.5.74 debhelper_13 debianutils_4.9.1 dh-autoreconf_19 dh-strip-nondeterminism_1.8.0-1 diffutils_1:3.7-3 dirmngr_2.2.20-1 docbook-xml_4.5-9 docbook2x_0.8.8-17+b1 dpkg_1.19.7 dpkg-dev_1.19.7 dwz_0.13-5 e2fsprogs_1.45.6-1 fakeroot_1.24-1 fdisk_2.34-0.1 file_1:5.38-4 findutils_4.7.0-1 g++_4:9.2.1-3.1+rpi1 g++-9_9.3.0-10+rpi1 gcc_4:9.2.1-3.1+rpi1 gcc-10-base_10-20200418-1+rpi1 gcc-9_9.3.0-10+rpi1 gcc-9-base_9.3.0-10+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_3.4-1 groff-base_1.22.4-4 gzip_1.10-2 hostname_3.23 init-system-helpers_1.57 intltool-debian_0.35.0+20060710.5 iputils-ping_3:20190709-3 libacl1_2.2.53-6 libapt-pkg6.0_2.0.2 libarchive-zip-perl_1.68-1 libarchive13_3.4.0-2 libasan5_9.3.0-10+rpi1 libassuan0_2.5.3-7 libatomic1_10-20200418-1+rpi1 libattr1_1:2.4.48-5 libaudit-common_1:2.8.5-3 libaudit1_1:2.8.5-3 libbinutils_2.34-5+rpi1 libblkid1_2.34-0.1 libbrotli1_1.0.7-6.1 libbsd0_0.10.0-1 libbz2-1.0_1.0.8-2 libc-bin_2.30-4+rpi1 libc-dev-bin_2.30-4+rpi1 libc6_2.30-4+rpi1 libc6-dev_2.30-4+rpi1 libcap-ng0_0.7.9-2.1+b1 libcap2_1:2.33-1 libcap2-bin_1:2.33-1 libcc1-0_10-20200418-1+rpi1 libcom-err2_1.45.6-1 libcroco3_0.6.13-1 libcrypt-dev_1:4.4.16-1 libcrypt1_1:4.4.16-1 libctf-nobfd0_2.34-5+rpi1 libctf0_2.34-5+rpi1 libcurl4_7.68.0-1 libdb5.3_5.3.28+dfsg1-0.6 libdebconfclient0_0.251 libdebhelper-perl_13 libdpkg-perl_1.19.7 libelf1_0.176-1.1 libencode-locale-perl_1.05-1 libexpat1_2.2.9-1 libext2fs2_1.45.6-1 libfakeroot_1.24-1 libfdisk1_2.34-0.1 libffi7_3.3-4 libfile-listing-perl_6.04-1 libfile-stripnondeterminism-perl_1.8.0-1 libgcc-9-dev_9.3.0-10+rpi1 libgcc-s1_10-20200418-1+rpi1 libgcc1_1:10-20200418-1+rpi1 libgcrypt20_1.8.5-5 libgdbm-compat4_1.18.1-5 libgdbm6_1.18.1-5 libglib2.0-0_2.64.2-1 libgmp10_2:6.2.0+dfsg-4 libgnutls30_3.6.13-2 libgomp1_10-20200418-1+rpi1 libgpg-error0_1.37-1 libgssapi-krb5-2_1.17-7+rpi1 libhogweed5_3.5.1+really3.5.1-2 libhtml-parser-perl_3.72-5 libhtml-tagset-perl_3.20-4 libhtml-tree-perl_5.07-2 libhttp-cookies-perl_6.08-1 libhttp-date-perl_6.05-1 libhttp-message-perl_6.22-1 libhttp-negotiate-perl_6.01-1 libicu63_63.2-3 libidn2-0_2.3.0-1 libio-html-perl_1.001-1 libio-socket-ssl-perl_2.067-1 libisl22_0.22.1-1 libjsoncpp1_1.7.4-3.1 libk5crypto3_1.17-7+rpi1 libkeyutils1_1.6.1-2 libkrb5-3_1.17-7+rpi1 libkrb5support0_1.17-7+rpi1 libksba8_1.3.5-2 libldap-2.4-2_2.4.49+dfsg-4+rpi1 libldap-common_2.4.49+dfsg-4+rpi1 liblwp-mediatypes-perl_6.04-1 liblwp-protocol-https-perl_6.07-2 liblz4-1_1.9.2-2 liblzma5_5.2.4-1 libmagic-mgc_1:5.38-4 libmagic1_1:5.38-4 libmount1_2.34-0.1 libmpc3_1.1.0-1 libmpfr6_4.0.2-1 libncurses6_6.2-1 libncursesw6_6.2-1 libnet-http-perl_6.19-1 libnet-ssleay-perl_1.88-3 libnettle7_3.5.1+really3.5.1-2 libnghttp2-14_1.40.0-1+b2 libnpth0_1.6-1 libosp5_1.5.2-13 libp11-kit0_0.23.20-1 libpam-cap_1:2.33-1 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_2:8.39-12 libperl5.30_5.30.0-10 libpipeline1_1.5.2-2 libprocps8_2:3.3.16-4 libpsl5_0.21.0-1 libreadline7_7.0-5 libreadline8_8.0-4 librhash0_1.3.9-1 librtmp1_2.4+20151223.gitfa8646d.1-2+b1 libsasl2-2_2.1.27+dfsg-2 libsasl2-modules-db_2.1.27+dfsg-2 libseccomp2_2.4.3-1+rpi1 libselinux1_3.0-1+b1 libsemanage-common_3.0-1 libsemanage1_3.0-1+b1 libsepol1_3.0-1 libsigsegv2_2.12-2 libsmartcols1_2.34-0.1 libsqlite3-0_3.31.1-5 libss2_1.45.6-1 libssh2-1_1.8.0-2.1 libssl1.1_1.1.1g-1 libstdc++-9-dev_9.3.0-10+rpi1 libstdc++6_10-20200418-1+rpi1 libsub-override-perl_0.09-2 libsystemd0_245.5-1+rpi1 libtasn1-6_4.16.0-2 libtext-charwidth-perl_0.04-10 libtext-unidecode-perl_1.30-1 libtext-wrapi18n-perl_0.06-9 libtimedate-perl_2.3200-1 libtinfo5_6.2-1 libtinfo6_6.2-1 libtool_2.4.6-14 libtry-tiny-perl_0.30-1 libubsan1_10-20200418-1+rpi1 libuchardet0_0.0.6-3 libudev1_245.5-1+rpi1 libunistring2_0.9.10-2 liburi-perl_1.76-2 libuuid1_2.34-0.1 libuv1_1.35.0-2 libwww-perl_6.44-1 libwww-robotrules-perl_6.02-1 libxml-libxml-perl_2.0134+dfsg-2 libxml-namespacesupport-perl_1.12-1 libxml-parser-perl_2.46-1+b1 libxml-sax-base-perl_1.09-1 libxml-sax-expat-perl_0.51-1 libxml-sax-perl_1.02+dfsg-1 libxml2_2.9.10+dfsg-5 libxslt1.1_1.1.34-4 libzstd1_1.4.4+dfsg-3+rpi1 linux-libc-dev_5.2.17-1+rpi1+b2 login_1:4.8.1-1 logsave_1.45.6-1 lsb-base_11.1.0+rpi1 m4_1.4.18-4 make_4.2.1-1.2 man-db_2.9.1-1 mawk_1.3.4.20200120-2 mount_2.34-0.1 ncurses-base_6.2-1 ncurses-bin_6.2-1 netbase_6.1 opensp_1.5.2-13 openssl_1.1.1g-1 passwd_1:4.8.1-1 patch_2.7.6-6 perl_5.30.0-10 perl-base_5.30.0-10 perl-modules-5.30_5.30.0-10 perl-openssl-defaults_4 pinentry-curses_1.1.0-3 po-debconf_1.0.21 procps_2:3.3.16-4 raspbian-archive-keyring_20120528.2 readline-common_8.0-4 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 sgml-base_1.30 sgml-data_2.0.11 sysvinit-utils_2.96-3 tar_1.30+dfsg-7 tex-common_6.14 texinfo_6.7.0.dfsg.2-5 tzdata_2019c-3 ucf_3.0038+nmu1 util-linux_2.34-0.1 xml-core_0.18+nmu1 xsltproc_1.1.34-4 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 '/sbuild-nonexistent/.gnupg/trustedkeys.kbx': General error
gpgv: Signature made Wed Apr 29 08:31:51 2020 UTC
gpgv: using RSA key 73B299CBD4EEADDCC017E87A5BFFDCC258E69433
gpgv: Can't check signature: No public key
dpkg-source: warning: failed to verify signature on ./qhull_2019.1-5.dsc
dpkg-source: info: extracting qhull in /<<PKGBUILDDIR>>
dpkg-source: info: unpacking qhull_2019.1.orig.tar.gz
dpkg-source: info: unpacking qhull_2019.1-5.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-Build-shared-qhullcpp.patch
dpkg-source: info: applying 0003-Add-config.cmake.in-to-README-and-qhull-zip.sh.patch
dpkg-source: info: applying 0004-Review-and-fix-Qhull-html-and-option-links.patch
dpkg-source: info: applying 0005-Add-pkg-config-support.patch
dpkg-source: info: applying 0006-Fix-privacy-breach.patch
dpkg-source: info: applying 0007-Bump-SONAME-because-of-ABI-breakage.patch
dpkg-source: info: applying 0008-Fix-CMake-target-export.patch
dpkg-source: info: applying 0009-Build-with-LFS-support.patch
dpkg-source: info: applying 0010-Do-not-set-RPATH.patch
dpkg-source: info: applying 0011-Fix-install-location-for-HTML-manual.patch
dpkg-source: info: applying 0012-Use-local-version-of-function-index.patch
Check disc 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=109
SCHROOT_GROUP=buildd
SCHROOT_SESSION_ID=bullseye-staging-armhf-sbuild-f32c7054-5539-4f0e-86c6-bebd1f36b1a0
SCHROOT_UID=104
SCHROOT_USER=buildd
SHELL=/bin/sh
TERM=linux
USER=buildd
dpkg-buildpackage
-----------------
dpkg-buildpackage: info: source package qhull
dpkg-buildpackage: info: source version 2019.1-5
dpkg-buildpackage: info: source distribution unstable
dpkg-source --before-build .
dpkg-buildpackage: info: host architecture armhf
debian/rules clean
dh clean --buildsystem=cmake
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
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 -- \
-DINCLUDE_INSTALL_DIR=include \
-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 "-GUnix Makefiles" -DCMAKE_VERBOSE_MAKEFILE=ON -DCMAKE_AUTOGEN_VERBOSE=ON -DCMAKE_INSTALL_LIBDIR=lib/arm-linux-gnueabihf -DINCLUDE_INSTALL_DIR=include -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 9.3.0
-- The CXX compiler identification is GNU 9.3.0
-- Check for working C compiler: /usr/bin/cc
-- Check for working C compiler: /usr/bin/cc -- works
-- Detecting C compiler ABI info
-- Detecting C compiler ABI info - done
-- Detecting C compile features
-- Detecting C compile features - done
-- Check for working CXX compiler: /usr/bin/c++
-- Check for working CXX compiler: /usr/bin/c++ -- works
-- Detecting CXX compiler ABI info
-- Detecting CXX compiler ABI info - done
-- 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: 7.3.2
-- 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
-- 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_AUTOGEN_VERBOSE
CMAKE_EXPORT_NO_PACKAGE_REGISTRY
CMAKE_FIND_PACKAGE_NO_PACKAGE_REGISTRY
CMAKE_INSTALL_LIBDIR
CMAKE_INSTALL_LOCALSTATEDIR
CMAKE_INSTALL_RUNSTATEDIR
CMAKE_INSTALL_SYSCONFDIR
-- Build files have been written to: /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
debian/rules override_dh_auto_build
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_auto_build
cd obj-arm-linux-gnueabihf && make -j4 "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
/usr/bin/cmake -E cmake_progress_start /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles /<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf/CMakeFiles/progress.marks
make -f CMakeFiles/Makefile2 all
make[3]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make -f CMakeFiles/qhullstatic_r.dir/build.make CMakeFiles/qhullstatic_r.dir/depend
make -f CMakeFiles/qhull_r.dir/build.make CMakeFiles/qhull_r.dir/depend
make -f CMakeFiles/testqset_r.dir/build.make CMakeFiles/testqset_r.dir/depend
make[4]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
make -f CMakeFiles/libqhull.dir/build.make CMakeFiles/libqhull.dir/depend
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/testqset_r.dir/DependInfo.cmake --color=
make[4]: 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/qhullstatic_r.dir/DependInfo.cmake --color=
make[4]: 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_r.dir/DependInfo.cmake --color=
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[ 55%] Building C object CMakeFiles/testqset.dir/src/libqhull/mem.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/libqhull/mem.c.o -c /<<PKGBUILDDIR>>/src/libqhull/mem.c
[ 56%] Building C object CMakeFiles/testqset.dir/src/libqhull/usermem.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/libqhull/usermem.c.o -c /<<PKGBUILDDIR>>/src/libqhull/usermem.c
[ 57%] Building C object CMakeFiles/testqset.dir/src/testqset/testqset.c.o
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[ 57%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/stat.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/stat.c.o -c /<<PKGBUILDDIR>>/src/libqhull/stat.c
[ 57%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_rbox_r.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqhull_r_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -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
[ 58%] Linking C shared library libqhull_r.so
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhull_r.dir/link.txt --verbose=1
/usr/bin/cc -fPIC -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -shared -Wl,-soname,libqhull_r.so.7deb1 -o libqhull_r.so.7.3.2 CMakeFiles/qhull_r.dir/src/libqhull_r/global_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/stat_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/geom2_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/poly2_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/merge_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/libqhull_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/geom_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/poly_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/qset_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/mem_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/random_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/usermem_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/io_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/user_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/rboxlib_r.c.o CMakeFiles/qhull_r.dir/src/libqhull_r/userprintf_rbox_r.c.o -lm
/usr/bin/cmake -E cmake_symlink_library libqhull_r.so.7.3.2 libqhull_r.so.7deb1 libqhull_r.so
make[4]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 58%] Built target qhull_r
[ 59%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/geom2.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/geom2.c.o -c /<<PKGBUILDDIR>>/src/libqhull/geom2.c
[ 59%] 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 -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
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[ 59%] Built target testqset
make -f CMakeFiles/qhullcpp.dir/build.make CMakeFiles/qhullcpp.dir/depend
make[4]: 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/qhullcpp.dir/DependInfo.cmake --color=
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make -f CMakeFiles/qhullcpp.dir/build.make CMakeFiles/qhullcpp.dir/build
make[4]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 60%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/Coordinates.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/Coordinates.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp
make -f CMakeFiles/user_eg2.dir/build.make CMakeFiles/user_eg2.dir/depend
make[4]: 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_eg2.dir/DependInfo.cmake --color=
Scanning dependencies of target user_eg2
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make[4]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 61%] Building C object CMakeFiles/user_eg2.dir/src/user_eg2/user_eg2_r.c.o
[ 61%] Building C object CMakeFiles/qhullstatic.dir/src/libqhull/user.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullstatic.dir/src/libqhull/user.c.o -c /<<PKGBUILDDIR>>/src/libqhull/user.c
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/user_eg2.dir/src/user_eg2/user_eg2_r.c.o -c /<<PKGBUILDDIR>>/src/user_eg2/user_eg2_r.c
[ 62%] Building C object CMakeFiles/qhullstatic.dir/src/libqhull/rboxlib.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullstatic.dir/src/libqhull/rboxlib.c.o -c /<<PKGBUILDDIR>>/src/libqhull/rboxlib.c
[ 63%] Linking C executable user_eg2
/usr/bin/cmake -E cmake_link_script CMakeFiles/user_eg2.dir/link.txt --verbose=1
/usr/bin/cc -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/user_eg2.dir/src/user_eg2/user_eg2_r.c.o -o user_eg2 libqhullstatic_r.a -lm
In file included from /usr/include/c++/9/vector:72,
from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:14,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/9/bits/vector.tcc: In member function 'std::vector<_Tp, _Alloc>::iterator std::vector<_Tp, _Alloc>::_M_erase(std::vector<_Tp, _Alloc>::iterator) [with _Tp = double; _Alloc = std::allocator<double>]':
/usr/include/c++/9/bits/vector.tcc:171:5: note: parameter passing for argument of type 'std::vector<double>::iterator' {aka '__gnu_cxx::__normal_iterator<double*, std::vector<double> >'} changed in GCC 7.1
171 | vector<_Tp, _Alloc>::
| ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/9/vector:67,
from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:14,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/9/bits/stl_vector.h: In member function 'double orgQhull::Coordinates::takeAt(countT)':
/usr/include/c++/9/bits/stl_vector.h:1428:58: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1428 | { return _M_erase(begin() + (__position - cbegin())); }
| ^
/usr/include/c++/9/bits/stl_vector.h: In member function 'double orgQhull::Coordinates::takeLast()':
/usr/include/c++/9/bits/stl_vector.h:1428:58: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1428 | { return _M_erase(begin() + (__position - cbegin())); }
| ^
/usr/include/c++/9/bits/stl_vector.h: In member function 'void orgQhull::Coordinates::removeAll(const double&)':
/usr/include/c++/9/bits/stl_vector.h:1428:58: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1428 | { return _M_erase(begin() + (__position - cbegin())); }
| ^
make[4]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
In file included from /usr/include/c++/9/vector:72,
from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:14,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/9/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++/9/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' {aka '__gnu_cxx::__normal_iterator<double*, std::vector<double> >'} changed in GCC 7.1
426 | vector<_Tp, _Alloc>::
| ^~~~~~~~~~~~~~~~~~~
[ 64%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/poly2.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/poly2.c.o -c /<<PKGBUILDDIR>>/src/libqhull/poly2.c
[ 64%] Built target user_eg2
In file included from /usr/include/c++/9/vector:67,
from /<<PKGBUILDDIR>>/src/libqhullcpp/QhullIterator.h:17,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.h:14,
from /<<PKGBUILDDIR>>/src/libqhullcpp/Coordinates.cpp:9:
/usr/include/c++/9/bits/stl_vector.h: In member function 'orgQhull::Coordinates orgQhull::Coordinates::mid(countT, countT) const':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
[ 64%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/merge.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/merge.c.o -c /<<PKGBUILDDIR>>/src/libqhull/merge.c
/usr/include/c++/9/bits/stl_vector.h: In member function 'void orgQhull::Coordinates::append(int, double*)':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
/usr/include/c++/9/bits/stl_vector.h: In member function 'orgQhull::Coordinates orgQhull::Coordinates::operator+(const orgQhull::Coordinates&) const':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
/usr/include/c++/9/bits/stl_vector.h: In member function 'orgQhull::Coordinates& orgQhull::Coordinates::operator+=(const orgQhull::Coordinates&)':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
[ 65%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/PointCoordinates.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/PointCoordinates.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/PointCoordinates.cpp
[ 66%] Building C object CMakeFiles/qhullstatic.dir/src/libqhull/userprintf_rbox.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullstatic.dir/src/libqhull/userprintf_rbox.c.o -c /<<PKGBUILDDIR>>/src/libqhull/userprintf_rbox.c
[ 66%] Linking C static library libqhullstatic.a
/usr/bin/cmake -P CMakeFiles/qhullstatic.dir/cmake_clean_target.cmake
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhullstatic.dir/link.txt --verbose=1
/usr/bin/ar qc libqhullstatic.a CMakeFiles/qhullstatic.dir/src/libqhull/global.c.o CMakeFiles/qhullstatic.dir/src/libqhull/stat.c.o CMakeFiles/qhullstatic.dir/src/libqhull/geom2.c.o CMakeFiles/qhullstatic.dir/src/libqhull/poly2.c.o CMakeFiles/qhullstatic.dir/src/libqhull/merge.c.o CMakeFiles/qhullstatic.dir/src/libqhull/libqhull.c.o CMakeFiles/qhullstatic.dir/src/libqhull/geom.c.o CMakeFiles/qhullstatic.dir/src/libqhull/poly.c.o CMakeFiles/qhullstatic.dir/src/libqhull/qset.c.o CMakeFiles/qhullstatic.dir/src/libqhull/mem.c.o CMakeFiles/qhullstatic.dir/src/libqhull/random.c.o CMakeFiles/qhullstatic.dir/src/libqhull/usermem.c.o CMakeFiles/qhullstatic.dir/src/libqhull/userprintf.c.o CMakeFiles/qhullstatic.dir/src/libqhull/io.c.o CMakeFiles/qhullstatic.dir/src/libqhull/user.c.o CMakeFiles/qhullstatic.dir/src/libqhull/rboxlib.c.o CMakeFiles/qhullstatic.dir/src/libqhull/userprintf_rbox.c.o
/usr/bin/ranlib libqhullstatic.a
make[4]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
[ 66%] Built target qhullstatic
[ 67%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/libqhull.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/libqhull.c.o -c /<<PKGBUILDDIR>>/src/libqhull/libqhull.c
In file included from /usr/include/c++/9/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++/9/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++/9/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' {aka '__gnu_cxx::__normal_iterator<double*, std::vector<double> >'} changed in GCC 7.1
426 | vector<_Tp, _Alloc>::
| ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/9/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++/9/bits/stl_vector.h: In member function 'void orgQhull::PointCoordinates::appendPoints(std::istream&)':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
/usr/include/c++/9/bits/stl_vector.h: In member function 'void orgQhull::PointCoordinates::append(countT, const double*)':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
[ 67%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/Qhull.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/Qhull.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/Qhull.cpp
[ 68%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/geom.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/geom.c.o -c /<<PKGBUILDDIR>>/src/libqhull/geom.c
[ 69%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacet.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -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++/9/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++/9/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++/9/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' {aka '__gnu_cxx::__normal_iterator<double*, std::vector<double> >'} changed in GCC 7.1
426 | vector<_Tp, _Alloc>::
| ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/9/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++/9/bits/stl_vector.h: In member function 'void orgQhull::Qhull::runQhull(const char*, int, int, const double*, const char*)':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
make -f CMakeFiles/user_eg.dir/build.make CMakeFiles/user_eg.dir/depend
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make -f CMakeFiles/qhull.dir/build.make CMakeFiles/qhull.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/qhull.dir/DependInfo.cmake --color=
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[ 79%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/random.c.o
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[ 79%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullFacetSet.cpp.o
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make -f CMakeFiles/rbox.dir/build.make CMakeFiles/rbox.dir/depend
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/usr/bin/cmake -E cmake_link_script CMakeFiles/rbox.dir/link.txt --verbose=1
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[ 84%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullHyperplane.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullHyperplane.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullHyperplane.cpp
make -f CMakeFiles/qvoronoi.dir/build.make CMakeFiles/qvoronoi.dir/depend
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[ 85%] Building C object CMakeFiles/qvoronoi.dir/src/qvoronoi/qvoronoi.c.o
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[ 86%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/rboxlib.c.o
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[ 87%] Building C object CMakeFiles/qhull_p.dir/src/libqhull/userprintf_rbox.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -Dqh_QHpointer -Dqhull_p_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_p.dir/src/libqhull/userprintf_rbox.c.o -c /<<PKGBUILDDIR>>/src/libqhull/userprintf_rbox.c
make -f CMakeFiles/qhalf.dir/build.make CMakeFiles/qhalf.dir/depend
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[ 88%] Building C object CMakeFiles/qhalf.dir/src/qhalf/qhalf.c.o
/usr/bin/cc -D_FILE_OFFSET_BITS=64 -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhalf.dir/src/qhalf/qhalf.c.o -c /<<PKGBUILDDIR>>/src/qhalf/qhalf.c
In file included from /usr/include/c++/9/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++/9/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++/9/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' {aka '__gnu_cxx::__normal_iterator<double*, std::vector<double> >'} changed in GCC 7.1
426 | vector<_Tp, _Alloc>::
| ^~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/9/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++/9/bits/stl_vector.h: In member function 'std::vector<double> orgQhull::QhullHyperplane::toStdVector() const':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
[ 88%] Linking C executable qhalf
/usr/bin/cmake -E cmake_link_script CMakeFiles/qhalf.dir/link.txt --verbose=1
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[ 89%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoint.cpp.o
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[ 90%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPointSet.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPointSet.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPointSet.cpp
[ 90%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoints.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullPoints.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullPoints.cpp
In file included from /usr/include/c++/9/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++/9/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++/9/bits/vector.tcc:426:7: note: parameter passing for argument of type 'std::vector<double>::iterator' {aka '__gnu_cxx::__normal_iterator<double*, std::vector<double> >'} changed in GCC 7.1
426 | vector<_Tp, _Alloc>::
| ^~~~~~~~~~~~~~~~~~~
make -f CMakeFiles/qdelaunay.dir/build.make CMakeFiles/qdelaunay.dir/depend
make[4]: 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/qdelaunay.dir/DependInfo.cmake --color=
In file included from /usr/include/c++/9/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++/9/bits/stl_vector.h: In member function 'std::vector<double> orgQhull::QhullPoint::toStdVector() const':
/usr/include/c++/9/bits/stl_vector.h:1195:4: note: parameter passing for argument of type '__gnu_cxx::__normal_iterator<double*, std::vector<double> >' changed in GCC 7.1
1195 | _M_realloc_insert(end(), __x);
| ^~~~~~~~~~~~~~~~~
Scanning dependencies of target qdelaunay
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[ 91%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullQh.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullQh.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/QhullQh.cpp
[ 92%] Linking C executable qdelaunay
/usr/bin/cmake -E cmake_link_script CMakeFiles/qdelaunay.dir/link.txt --verbose=1
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[ 93%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/QhullRidge.cpp.o
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[ 96%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/RboxPoints.cpp.o
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[ 98%] Building CXX object CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadLogEvent.cpp.o
/usr/bin/c++ -D_FILE_OFFSET_BITS=64 -Dqhullcpp_EXPORTS -I/<<PKGBUILDDIR>>/src -g -O2 -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhullcpp.dir/src/libqhullcpp/RoadLogEvent.cpp.o -c /<<PKGBUILDDIR>>/src/libqhullcpp/RoadLogEvent.cpp
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make -f CMakeFiles/user_eg3.dir/build.make CMakeFiles/user_eg3.dir/depend
make[4]: Entering directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
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Building man pages
cd debian && \
for info in "qconvex:compute the convex hull" \
"qdelaunay:compute the Delaunay triangulation" \
"qhalf:halfspace intersection about a point" \
"qvoronoi:compute the Voronoi diagram" ; do \
comm=$(echo $info | cut -d: -f1) && \
purp=$(echo $info | cut -d: -f2) && \
echo -n Building man page for $comm... && \
sed "s/#command#/$comm/;s/#purpose#/$purp/" \
manpage.in > $comm.xml && \
docbook2x-man $comm.xml && \
echo " done" ; \
done
Building man page for qconvex... done
Building man page for qdelaunay... done
Building man page for qhalf... done
Building man page for qvoronoi... done
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
debian/rules override_dh_auto_test
make[1]: Entering directory '/<<PKGBUILDDIR>>'
env PATH=/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf:${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): 0.000743
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: 11
Statistics for: | qhull s d Tcv
Number of points processed: 8
Number of hyperplanes created: 26
Number of facets in hull: 18
Number of distance tests for qhull: 24
CPU seconds to compute hull (after input): 0.000388
Output completed. Verifying that all points are below 9.6e-15 of
all facets. Will make 88 distance computations.
Delaunay triangulation by the convex hull of 8 points in 4-d:
Number of input sites: 8
Number of Delaunay regions: 12
Statistics for: | qhull s d Tcv
Number of points processed: 8
Number of hyperplanes created: 29
Number of facets in hull: 19
Number of distance tests for qhull: 29
CPU seconds to compute hull (after input): 0.000383
Output completed. Verifying that all points are below 1.1e-14 of
all facets. Will make 96 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): 0.000499
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 7.3.2 (2019.1.r 2019/06/21)
qconvex => qhull 7.3.2 (2019.1 2019/06/21)
qvoronoi => qhull 7.3.2 (2019.1 2019/06/21)
qdelaunay => qhull 7.3.2 (2019.1 2019/06/21)
qhalf => qhull 7.3.2 (2019.1 2019/06/21)
==============================
== check user_eg, user_eg2, and user_eg3
== errors if user_eg and user_eg2 not found
==============================
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): 0.000674
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: 1588311704
input
0.428 -0.148 0.694
0.15 0.379 -0.314
0.0873 -0.531 0.751
-0.463 -0.629 -0.99
0.697 0.565 0.312
0.371 0.725 -0.483
0.182 -0.655 -0.0256
-0.94 -0.536 -0.19
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: 26
Number of facets in hull: 18
Number of distance tests for qhull: 24
CPU seconds to compute hull (after input): 0.000379
3
11
-0.2968251215202662 -0.214129426380354 -0.3921028204958172
-0.3679501702305412 -0.04756266774104889 0.2140630123034273
-4.375449652420061 5.080873695057853 2.820562177289728
-1.683454444567902 1.303296780952545 -1.395363601813091
1.326333453131521 -0.2183980179588839 -0.5835308209002213
1.092092790112487 -0.4321169116927293 -1.325979084541955
0.6089278823260008 -0.07725874200164451 0.001390859736872474
-0.1654978822610417 -0.03516469343417505 0.2366436587692141
-1.501404599166292 1.46174327927895 1.387151523913818
-3.270370040250816 3.189001589802418 3.365787478111302
-1.023273183045887 0.8294639618635234 0.9249082319906903
Output completed. Verifying that all points are below 9.6e-15 of
all facets. Will make 88 distance computations.
8 vertices and 18 facets with normals:
-0.4 -0.29 -0.53 -0.68
-0.047 0.14 0.39 0.91
-0.07 -0.99 0.11 0.078
-0.56 -0.072 0.33 -0.76
-0.24 0.5 0.19 0.81
-0.6 0.7 0.39 -0.069
-0.65 0.5 -0.54 -0.19
0.85 -0.3 -0.41 0.14
0.86 -0.14 -0.38 -0.32
0.59 -0.23 -0.72 -0.27
0.79 -0.46 -0.071 0.4
0.74 -0.43 0.0096 0.52
0.76 -0.5 -0.036 0.41
0.77 -0.098 0.0018 -0.63
-0.29 -0.061 0.41 -0.86
-0.59 0.57 0.54 -0.2
-0.57 0.56 0.59 -0.088
-0.61 0.49 0.55 -0.3
find 3-d Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...]
0.43 -0.15 0.69
0.15 0.38 -0.31
0.70 0.57 0.31
-0.94 -0.54 -0.19
========
Compute a new triangulation as a separate instance of Qhull
seed: 1588311705
input
0.428 0.115 0.205
-0.932 -0.555 0.124
0.181 0.827 0.109
-0.594 0.138 0.0483
0.359 0.635 0.419
-0.57 0.0668 -0.467
0.948 -0.522 0.809
0.434 0.642 -0.329
Voronoi diagram by the convex hull of 8 points in 4-d:
Number of Voronoi regions: 8
Number of Voronoi vertices: 12
Statistics for: | qhull s d Tcv v p
Number of points processed: 8
Number of hyperplanes created: 29
Number of facets in hull: 19
Number of distance tests for qhull: 29
CPU seconds to compute hull (after input): 0.000381
3
12
0.5186728742068566 -1.657530561583143 -0.8802654545937698
1.823430570416982 -2.377859759372408 -2.764465887179993
2.060989902456256 0.6369488350481933 0.2101315458409372
0.3910031030127978 0.4855558094249578 0.0429448824574048
-0.2549582800205195 -0.3371566507483965 1.178955497349689
-0.5721525447782914 -0.08806179809957851 2.03763744508064
-0.2836775275527534 -0.158998537012062 1.391589767104916
-0.06463093444967416 -0.5695928340135661 -0.09298867430937333
-0.09447556017907371 0.3431222058454545 0.2332640217309264
-0.1326699997502122 0.4274940309425471 -0.233592693279312
-0.03905651737159455 0.3131438454014994 -0.1316417490084068
-0.0296893612154272 0.2405665732531694 -0.2030889209493792
Output completed. Verifying that all points are below 1.1e-14 of
all facets. Will make 96 distance computations.
8 vertices and 19 facets with normals:
0.26 -0.82 -0.44 -0.25
-0.39 0.5 0.57 0.52
-0.17 0.42 -0.31 0.83
0.068 -0.11 -0.76 0.63
-0.33 0.49 -0.43 0.68
0.44 -0.58 -0.67 -0.12
0.65 0.68 0.072 0.34
0.93 0.29 0.094 -0.22
0.49 0.61 0.054 -0.62
-0.19 -0.25 0.87 -0.37
-0.26 -0.04 0.94 -0.23
-0.19 -0.11 0.92 -0.33
-0.084 -0.74 -0.12 -0.65
-0.7 0.66 -0.033 0.27
-0.56 0.5 0.64 0.13
-0.14 0.52 0.36 -0.76
-0.19 0.6 -0.33 -0.7
-0.064 0.52 -0.22 -0.83
-0.05 0.41 -0.34 -0.85
========
Free memory allocated by the new instance of Qhull, and redisplay the old results.
8 vertices and 18 facets with normals:
-0.4 -0.29 -0.53 -0.68
-0.047 0.14 0.39 0.91
-0.07 -0.99 0.11 0.078
-0.56 -0.072 0.33 -0.76
-0.24 0.5 0.19 0.81
-0.6 0.7 0.39 -0.069
-0.65 0.5 -0.54 -0.19
0.85 -0.3 -0.41 0.14
0.86 -0.14 -0.38 -0.32
0.59 -0.23 -0.72 -0.27
0.79 -0.46 -0.071 0.4
0.74 -0.43 0.0096 0.52
0.76 -0.5 -0.036 0.41
0.77 -0.098 0.0018 -0.63
-0.29 -0.061 0.41 -0.86
-0.59 0.57 0.54 -0.2
-0.57 0.56 0.59 -0.088
-0.61 0.49 0.55 -0.3
========
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): 0.000505
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 '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): 0.000544
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: 1588311704
8 vertices and 12 facets with normals:
0.4 -0.0041 0.92
-0.69 0.68 0.24
0.26 -0.94 -0.22
-0.85 0.18 -0.49
-0.24 0.0021 -0.97
0.99 0.054 -0.085
0.81 -0.17 -0.55
0.67 0.43 -0.6
0.64 0.18 -0.75
0.72 -0.35 -0.6
0.46 -0.72 -0.52
0.0051 -0.22 -0.98
Voronoi diagram by the convex hull of 8 points in 3-d:
Number of Voronoi regions: 8
Number of Voronoi vertices: 10
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: 28
CPU seconds to compute hull (after input): 0.000281
2
10
0.581658918727664 -2.089275614090608
-0.880708481629772 0.1897114220859268
-0.1253371486930664 0.001097544868333244
5.848873859913803 0.3177221239741443
0.7359993609658182 -0.1551212498845015
0.560102277235544 0.3589649163694493
0.4241653096851435 0.1234002926434574
0.6044683363128135 -0.2899387755057805
0.4397722953609868 -0.699585337702973
0.002620334890325426 -0.1126731471493219
Output completed. Verifying that all points are below 5.7e-15 of
all facets. Will make 80 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, ...]
0.36 0.87
0.31 0.37
0.70 0.57
Voronoi diagram by the convex hull of 14 points in 3-d:
Number of Voronoi regions: 14
Number of Voronoi vertices: 20
Statistics for: user_eg2 Delaunay example | qhull s d Tcv v p
Number of points processed: 14
Number of hyperplanes created: 49
Number of facets in hull: 24
Number of distance tests for qhull: 69
CPU seconds to compute hull (after input): 0.000281
2
20
5.848873859913803 0.3177221239741443
0.560102277235544 0.3589649163694493
0.6044683363128135 -0.2899387755057805
0.4397722953609868 -0.699585337702973
0.6052900068011405 -0.2890965743414201
0.8320341969683316 -0.1462398592161537
0.3039312622538577 0.0966398038544341
0.4442335301564033 0.1581764310946099
0.6690513301298329 -2.317919216902691
0.450749303063357 -0.8070982272612334
0.4325031793542606 0.6110085407682146
0.1291133282304088 0.05773058085561293
0.07494635975024933 -0.1339757322090325
0.05032978325578602 -0.1767269759829638
-0.2456697444985177 0.6738258833735787
-0.3192527974905952 0.7262378269491759
-0.2289783762479526 -0.3337825422480153
-0.7610842822983079 -0.2060860543432687
-0.5247105667082972 -0.4397879517967306
-0.4783032391047073 -0.4576454994120441
Output completed. Verifying that all points are below 5.7e-15 of
all facets. Will make 280 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): 0.000462
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): 0.000462
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 rbox '10 D2' 's r 5 D2' qhull 's p'
rbox 10 D2
rbox s r 5 D2
Results of s p
Convex hull of 15 points in 2-d:
Number of vertices: 7
Number of facets: 7
Statistics for: rbox "10 D2" "s r 5 D2" | qhull s p
Number of points processed: 7
Number of hyperplanes created: 11
Number of distance tests for qhull: 67
CPU seconds to compute hull (after input): 0.000407
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
echo === check front ends and examples ${d:-`date`} ==================
=== check front ends and examples Fri May 1 05:41:44 UTC 2020 ==================
qconvex -
qconvex -- compute the convex hull
http://www.qhull.org 2019.1 2019/06/21
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 2019.1 2019/06/21
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 2019.1 2019/06/21
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): 0.00055
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): 0.000239
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): 0.000303
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): 0.0358
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): 0.00026
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): 0.002884
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): 0.002424
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 QR1588311704
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): 0.3315
Approximate facet area: 0.00035546337
Approximate volume: 8.5511197e-06
rbox c D6 | qconvex s FA TF500
At 05:41:44 & 0.008723 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 05:41:44 & 0.017437 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 05:41:44 & 0.026087 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 05:41:44 & 0.031503 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 05:41:44 & 0.03274 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): 0.03306
Approximate facet area: 12
Approximate volume: 1
rbox c D7 | qconvex s FA TF1000
At 05:41:44 & 0.019946 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 05:41:45 & 0.046319 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 05:41:45 & 0.07579 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 05:41:45 & 0.10245 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 05:41:45 & 0.13306 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 05:41:45 & 0.16489 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 05:41:45 & 0.20256 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 05:41:45 & 0.23922 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 05:41:45 & 0.27741 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 05:41:45 & 0.31955 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 05:41:45 & 0.35908 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 05:41:45 & 0.38991 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 05:41:45 & 0.39632 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): 0.3971
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 QR1588311705
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): 0.3381
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 0 2
2 2 3
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): 0.000259
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 2019.1 2019/06/21:
run-id 1533093725 _maxoutside 0
qvoronoi -
qvoronoi -- compute the Voronoi diagram
http://www.qhull.org 2019.1 2019/06/21
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 2019.1 2019/06/21
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 2019.1 2019/06/21
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): 0.000417
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): 0.00037
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): 0.000373
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): 0.000462
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): 0.000439
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): 0.000379
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 2019.1 2019/06/21
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 2019.1 2019/06/21
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 2019.1 2019/06/21
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): 0.000418
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): 0.000374
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): 0.000468
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): 0.000333
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): 0.005644
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): 0.000367
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): 0.000317
1
0 1 2 0
qhalf -
qhalf -- compute the intersection of halfspaces about a point
http://www.qhull.org 2019.1 2019/06/21
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 non-redundant 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 2019.1 2019/06/21
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 2019.1 2019/06/21
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): 0.000407
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): 0.000337
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): 0.000172
4
0
0
0
0
0
4
2 1 2
2 0 3
2 0 3
2 1 2
4
2 0 1
2 0 2
2 1 3
2 2 3
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 2019.1.r 2019/06/21
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 2019.1.r 2019/06/21
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): 0.03501
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): 0.000369
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): 0.000267
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 QR1588311706
Number of points processed: 24
Number of hyperplanes created: 4107
Number of distance tests for qhull: 4215
Number of distance tests for merging: 121142
Number of distance tests for checking: 98304
Number of merged facets: 2036
CPU seconds to compute hull (after input): 0.3328
Approximate facet area: 1.735661e-07
Approximate volume: 2.0876757e-09
rbox c D7 | qhull FA TF1000
At 05:41:46 & 0.019557 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 05:41:46 & 0.045112 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 05:41:46 & 0.073946 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 05:41:46 & 0.1005 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 05:41:46 & 0.13086 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 05:41:46 & 0.16221 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 05:41:46 & 0.19922 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 05:41:46 & 0.23519 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 05:41:46 & 0.27237 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 05:41:47 & 0.31371 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 05:41:47 & 0.3529 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 05:41:47 & 0.38325 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 05:41:47 & 0.38975 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): 0.3906
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): 0.002671
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): 0.000262
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 2019.1.r 2019/06/21:
run-id 1533127339 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): 0.000737
[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
echo === check quality of Qhull for ${d:-`hostname`} ${d:-`date`}
=== check quality of Qhull for bm-wb-01 Fri May 1 05:41:47 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): 0.01332
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): 0.00986
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): 0.1168
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): 0.2218
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): 0.01546
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): 0.1587
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): 0.3482
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): 0.5761
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): 0.02005
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): 0.1827
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): 0.5107
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.
echo === check input format etc. ${d:-`date`}
=== check input format etc. Fri May 1 05:41:50 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): 0.000238
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 2019.1.r 2019/06/21:
run-id 1533177760 _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): 0.000283
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 2019.1.r 2019/06/21:
run-id 1533177760 _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 2019.1.r 2019/06/21:
run-id 1533177760 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 2019.1.r 2019/06/21:
run-id 1533177760 _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): 0.00023
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 2019.1.r 2019/06/21:
run-id 1533177760 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 2019.1.r 2019/06/21:
run-id 1533177760 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): 0.000642
Output completed. Verifying that all points are below 2.5e-15 of
all facets. Will make 99 distance computations.
echo === check rbox ${d:-`date`}
=== check rbox Fri May 1 05:41:50 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): 0.003814
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): 0.000941
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): 0.005403
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): 0.000543
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): 0.000683
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): 0.00052
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): 0.003024
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): 0.00254
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): 0.002166
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): 0.254
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): 0.5584
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: 40
Number of facets: 22
Number of non-simplicial facets: 22
Statistics for: rbox 1000 s t1588311711 | qhull Qm C0.05 Tcv
Number of points processed: 1000
Number of hyperplanes created: 5454
Number of distance tests for qhull: 53007
Number of distance tests for merging: 82254
Number of distance tests for checking: 23179
Number of merged facets: 1974
CPU seconds to compute hull (after input): 0.6574
Maximum distance of vertex below facet: -0.2 (1.3x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 22000 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): 0.08562
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): 0.000223
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): 0.000246
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): 0.000333
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): 0.000394
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): 0.000985
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): 0.00074
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): 0.007964
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): 0.001225
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): 0.05319
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): 0.002423
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): 0.005412
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): 0.000238
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): 0.000572
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): 0.002323
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): 0.0169
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): 0.1892
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): 0.3678
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): 0.001001
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): 0.006234
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): 0.01527
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): 0.05358
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): 0.00267
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): 0.000893
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): 0.01506
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): 0.002433
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): 0.006905
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): 0.006518
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): 0.04812
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): 0.1514
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): 0.01564
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): 0.0174
Maximum distance of vertex below facet: -1.1e-15 (0.3x)
echo === check qhull option errors ${d:-`date`}
=== check qhull option errors Fri May 1 05:41:54 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 2019.1.r 2019/06/21:
run-id 1533244988 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 2019.1.r 2019/06/21:
run-id 1533244988 _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): 0.000368
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): 0.000365
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): 0.000358
qhull TIxyzlkajdfhwh
QH6041 qhull option error: cannot open 'TI' file "xyzlkajdfhwh"
While executing: | qhull TIxyzlkajdfhwh
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533244988 _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): 0.000369
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
echo === check qhull output formats ${d:-`date`}
=== check qhull output formats Fri May 1 05:41:54 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): 0.000273
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): 0.000247
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): 0.000312
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): 0.000663
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): 0.007532
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): 0.000588
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): 0.006076
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): 0.6654
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): 0.4501
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): 0.002337
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): 0.01618
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): 0.01607
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): 0.000545
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): 0.000475
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): 0.000262
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): 0.000259
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 2019.1.r 2019/06/21:
run-id 1533278602 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): 0.000301
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 2019.1.r 2019/06/21:
run-id 1533278602 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
echo === test Qt ${d:-`date`}
=== test Qt Fri May 1 05:41:56 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): 0.000633
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): 0.000449
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): 0.00085
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): 0.000794
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 2019.1.r 2019/06/21:
run-id 1533278602 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): 0.00067
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 2019.1.r 2019/06/21:
run-id 1533278602 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 2019.1.r 2019/06/21:
run-id 1533278602 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): 0.00075
1
0 10 36 0
rbox 100 W0 | qhull Tv Q11 FO
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533278602 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): 0.002803
Output completed. Verifying that all points are below outer planes of
all facets. Will make 8600 distance computations.
echo === test unbounded intersection ${d:-`date`}
=== test unbounded intersection Fri May 1 05:41:56 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): 0.05906
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 2019.1.r 2019/06/21:
run-id 1533278602 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): 0.000382
echo === check Delaunay/Voronoi ${d:-`date`}
=== check Delaunay/Voronoi Fri May 1 05:41:56 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): 0.000493
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): 0.000523
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): 0.00063
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): 0.001177
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): 0.00093
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
echo === check Halfspace and Qhull identity pipeline, showing the input ${d:-`date`}
=== check Halfspace and Qhull identity pipeline, showing the input Fri May 1 05:41:56 UTC 2020
echo === the Qhull pipeline recreates 100 4-D cospherical points with the same area and volume
=== 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): 0.009496
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): 0.009406
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): 0.1139
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): 0.05361
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): 2.461
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): 0.05333
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): 0.000464
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): 0.000525
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): 0.000263
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): 0.000182
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.
echo === check qhull ${d:-`date`}
=== check qhull Fri May 1 05:41:59 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): 0.000561
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-1588311719
Number of points processed: 10
Number of hyperplanes created: 29
Number of distance tests for qhull: 48
CPU seconds to compute hull (after input): 0.00038
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): 0.000373
rbox 1000 D3 | qhull Tcvs
qhull 2019.1.r 2019/06/21 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): 0.01247
qhull invoked by: rbox 1000 D3 | qhull Tcvs
2019.1.r 2019/06/21 with options:
run-id 1533329023 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
0.012 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
32096 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): 0.001846
[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): 0.000871
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): 0.009798
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): 0.009846
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): 0.009995
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 2019.1.r 2019/06/21:
run-id 1533329023 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 0.0112 CPU secs. Previous p56(v78) delta 0.0112 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): 0.01187
[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 05:41:59 & 0.001838 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 05:41:59 & 0.004305 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 05:41:59 & 0.007379 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 05:41:59 & 0.011498 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): 0.01627
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): 0.0165
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): 0.001982
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): 0.001988
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): 0.1045
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): 0.002228
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 2019.1.r 2019/06/21:
run-id 1533345830 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): 0.001966
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 2019.1.r 2019/06/21:
run-id 1533345830 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): 0.5161
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): 0.000409
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): 0.000424
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): 0.000564
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): 0.000248
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 May 1 05:42:00 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 2019.1.r 2019/06/21:
run-id 1533345830 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 2019.1.r 2019/06/21:
run-id 1533345830 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 t1588311720 | qhull FO Tcv C-0
Number of points processed: 200
Number of hyperplanes created: 398
Number of distance tests for qhull: 2087
CPU seconds to compute hull (after input): 0.02214
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 2019.1.r 2019/06/21:
run-id 1533345830 Tcheck-frequently Tverify Centrum-premerge- 0
_zero-centrum _max-width 1 Error-roundoff 6.9e-16 _one-merge 4.8e-15
_near-inside 2.4e-14 Visible-distance 1.4e-15 U-max-coplanar 1.4e-15
Width-outside 2.8e-15 _wide-facet 8.3e-15
Convex hull of 1000 points in 3-d:
Number of vertices: 46
Number of facets: 88
Statistics for: rbox 1000 L20 t1588311720 | qhull FO Tcv C-0
Number of points processed: 56
Number of hyperplanes created: 222
Number of distance tests for qhull: 13339
CPU seconds to compute hull (after input): 0.007476
Output completed. Verifying that all points are below outer planes of
all facets. Will make 88000 distance computations.
rbox 200 L20 D4 t | qhull FO Tcv C-0
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533345830 Tcheck-frequently Tverify Centrum-premerge- 0
_zero-centrum _max-width 1 Error-roundoff 1e-15 _one-merge 9.1e-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: 56
Number of facets: 256
Statistics for: rbox 200 L20 D4 t1588311720 | qhull FO Tcv C-0
Number of points processed: 63
Number of hyperplanes created: 701
Number of distance tests for qhull: 5415
CPU seconds to compute hull (after input): 0.01808
Output completed. Verifying that all points are below outer planes of
all facets. Will make 51200 distance computations.
rbox 200 L20 D5 t | qhull FO Tcv Qx
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533345830 Tcheck-frequently Tverify Qxact-merge _zero-centrum
_max-width 0.99 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: 98
Number of facets: 1404
Statistics for: rbox 200 L20 D5 t1588311720 | qhull FO Tcv Qx
Number of points processed: 115
Number of hyperplanes created: 4887
Number of distance tests for qhull: 19899
CPU seconds to compute hull (after input): 0.1285
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 280800 distance computations.
rbox 1000 W1e-3 s D2 t | qhull d FO Tcv Qu Q0
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533362637 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: 272
Statistics for: rbox 1000 W1e-3 s D2 t1588311721 | qhull d FO Tcv Qu Q0
Number of points processed: 1000
Number of hyperplanes created: 4476
Number of facets in hull: 1996
Number of distance tests for qhull: 26417
CPU seconds to compute hull (after input): 0.4544
Output completed. Verifying that all points are below 2.1e-15 of
all facets. Will make 272000 distance computations.
rbox 1000 W1e-3 s D2 t | qhull d FO Tcv Qu C-0
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533362637 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: 272
Statistics for: rbox 1000 W1e-3 s D2 t1588311721 | qhull d FO Tcv Qu C-0
Number of points processed: 1000
Number of hyperplanes created: 4476
Number of facets in hull: 1996
Number of distance tests for qhull: 26417
CPU seconds to compute hull (after input): 0.4515
Output completed. Verifying that all points are below 2.1e-15 of
all facets. Will make 272000 distance computations.
echo === check joggle and TRn ${d:-`date`}
=== check joggle and TRn Fri May 1 05:42:02 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): 0.08548
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): 0.1569
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): 0.2414
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): 0.181
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): 0.181
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 2019.1.r 2019/06/21:
run-id 1533396251 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): 0.008213
Input joggled by: 6.7e+03
Output completed. Verifying that all points are below 0.34 of
all facets. Will make 48800 distance computations.
echo === check precision options ${d:-`date`}
=== check precision options Fri May 1 05:42:03 UTC 2020
rbox 100 D3 s | qhull E0.01 Qx Tcv FO
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533396251 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): 0.0078
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): 0.003058
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): 0.002195
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): 0.002378
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): 0.001227
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): 0.00156
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): 0.001574
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): 0.05447
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): 0.3412
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): 0.05519
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): 0.03914
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): 0.04931
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 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.0543
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 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.05379
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 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.0549
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 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.05479
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 May 1 05:42:04 UTC 2020
rbox 1000 s D3 | qhull C-0.01 Q5 FO Tcv
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.04451
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 May 1 05:42:04 UTC 2020
rbox 1000 s D3 | qhull C-0.01 Q6 FO Po Tcv Qc
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.04874
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 2019.1.r 2019/06/21:
run-id 1533413058 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): 0.05215
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): 0.05202
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 May 1 05:42:05 UTC 2020
rbox 100 s D3 t | qhull R1e-3 Tcv Qc
Convex hull of 100 points in 3-d:
Number of vertices: 100
Number of facets: 160
Number of non-simplicial facets: 28
Statistics for: rbox 100 s D3 t1588311725 | qhull R1e-3 Tcv Qc
Number of points processed: 100
Number of hyperplanes created: 495
Number of distance tests for qhull: 1656
Number of distance tests for merging: 3625
Number of distance tests for checking: 1895
Number of merged facets: 63
CPU seconds to compute hull (after input): 0.02466
Maximum distance of point above facet: 0.0025 (0.6x)
Maximum distance of vertex below facet: -0.0068 (1.7x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 16000 distance computations.
rbox 100 s D3 t | qhull R1e-2 Tcv Qc
Convex hull of 100 points in 3-d:
Number of vertices: 65
Number of coplanar points: 35
Number of facets: 61
Number of non-simplicial facets: 40
Statistics for: rbox 100 s D3 t1588311725 | qhull R1e-2 Tcv Qc
Number of points processed: 68
Number of hyperplanes created: 284
Number of distance tests for qhull: 3440
Number of distance tests for merging: 3490
Number of distance tests for checking: 2966
Number of merged facets: 123
CPU seconds to compute hull (after input): 0.01765
Maximum distance of point above facet: 0.034 (0.9x)
Maximum distance of vertex below facet: -0.047 (1.2x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 6100 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: 19
Number of coplanar points: 481
Number of facets: 15
Number of non-simplicial facets: 15
Statistics for: rbox 500 s D3 t1588311725 | qhull R0.05 A-1 Tcv Qc
Number of points processed: 23
Number of hyperplanes created: 80
Number of distance tests for qhull: 20666
Number of distance tests for merging: 1219
Number of distance tests for checking: 8294
Number of merged facets: 51
CPU seconds to compute hull (after input): 0.01188
Maximum distance of point above facet: 0.23 (0.4x)
Maximum distance of vertex below facet: -0.22 (0.4x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 7500 distance computations.
rbox 100 W0 D3 t | qhull R1e-3 Tcv Qc
Convex hull of 100 points in 3-d:
Number of vertices: 38
Number of coplanar points: 62
Number of facets: 51
Number of non-simplicial facets: 6
Statistics for: rbox 100 W0 D3 t1588311725 | qhull R1e-3 Tcv Qc
Number of points processed: 44
Number of hyperplanes created: 156
Number of distance tests for qhull: 2028
Number of distance tests for merging: 1272
Number of distance tests for checking: 1283
Number of merged facets: 37
CPU seconds to compute hull (after input): 0.00666
Maximum distance of point above facet: 0.0025 (0.6x)
Maximum distance of vertex below facet: -0.0043 (1.1x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 5100 distance computations.
rbox 100 W0 D3 t | qhull R1e-3 Qx Tcv Qc
Convex hull of 100 points in 3-d:
Number of vertices: 38
Number of coplanar points: 62
Number of facets: 51
Number of non-simplicial facets: 7
Statistics for: rbox 100 W0 D3 t1588311725 | qhull R1e-3 Qx Tcv Qc
Number of points processed: 44
Number of hyperplanes created: 151
Number of distance tests for qhull: 2235
Number of distance tests for merging: 1219
Number of distance tests for checking: 1067
Number of merged facets: 32
CPU seconds to compute hull (after input): 0.006376
Maximum distance of point above facet: 0.0029 (0.7x)
Maximum distance of vertex below facet: -0.0037 (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 5100 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: 24
Number of non-simplicial facets: 8
Statistics for: rbox 100 W0 D3 t1588311725 | qhull R1e-2 Tcv Qc
Number of points processed: 33
Number of hyperplanes created: 110
Number of distance tests for qhull: 2801
Number of distance tests for merging: 1251
Number of distance tests for checking: 1255
Number of merged facets: 48
CPU seconds to compute hull (after input): 0.005495
Maximum distance of point above facet: 0.029 (0.7x)
Maximum distance of vertex below facet: -0.055 (1.4x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 2400 distance computations.
rbox 100 W0 D3 t | qhull R1e-2 Qx Tcv Qc
Convex hull of 100 points in 3-d:
Number of vertices: 23
Number of coplanar points: 77
Number of facets: 24
Number of non-simplicial facets: 8
Statistics for: rbox 100 W0 D3 t1588311725 | qhull R1e-2 Qx Tcv Qc
Number of points processed: 40
Number of hyperplanes created: 123
Number of distance tests for qhull: 3609
Number of distance tests for merging: 1469
Number of distance tests for checking: 1174
Number of merged facets: 66
CPU seconds to compute hull (after input): 0.007094
Maximum distance of point above facet: 0.017 (0.4x)
Maximum distance of vertex below facet: -0.04 (1.0x)
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 2400 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 t1588311725 | qhull R0.05 A-1 Tcv Qc
Number of points processed: 13
Number of hyperplanes created: 40
Number of distance tests for qhull: 13203
Number of distance tests for merging: 439
Number of distance tests for checking: 3613
Number of merged facets: 19
CPU seconds to compute hull (after input): 0.006353
Maximum distance of point above facet: 0.13 (0.2x)
Maximum distance of vertex below facet: -0.18 (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: 11
Number of coplanar points: 489
Number of facets: 8
Number of non-simplicial facets: 6
Statistics for: rbox 500 W0 D3 t1588311725 | qhull R0.05 Qx Tcv Qc
Number of points processed: 22
Number of hyperplanes created: 58
Number of distance tests for qhull: 23085
Number of distance tests for merging: 813
Number of distance tests for checking: 4152
Number of merged facets: 38
CPU seconds to compute hull (after input): 0.01037
Maximum distance of point above facet: 0.1 (0.5x)
Maximum distance of vertex below facet: -0.15 (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 4000 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 t1588311725 | qhull Tcv Qc
Number of points processed: 90
Number of hyperplanes created: 305
Number of distance tests for qhull: 19076
Number of distance tests for merging: 2865
Number of distance tests for checking: 15620
Number of merged facets: 87
CPU seconds to compute hull (after input): 0.02374
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: 277
Number of coplanar points: 723
Number of facets: 993
Number of non-simplicial facets: 8
Statistics for: rbox 1000 W1e-20 D4 t1588311725 | qhull Tcv Qc
Number of points processed: 341
Number of hyperplanes created: 4254
Number of distance tests for qhull: 75035
Number of distance tests for merging: 51991
Number of distance tests for checking: 86131
Number of merged facets: 990
CPU seconds to compute hull (after input): 0.8245
Output completed. Verifying that all points are below outer planes of
all facets. Will make 993000 distance computations.
rbox 500 W1e-20 D5 t | qhull Tv Qc
Convex hull of 500 points in 5-d:
Number of vertices: 352
Number of coplanar points: 148
Number of facets: 5637
Number of non-simplicial facets: 10
Statistics for: rbox 500 W1e-20 D5 t1588311726 | qhull Tv Qc
Number of points processed: 399
Number of hyperplanes created: 25344
Number of distance tests for qhull: 112428
Number of distance tests for merging: 283654
Number of distance tests for checking: 122905
Number of merged facets: 3123
CPU seconds to compute hull (after input): 0.4952
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 2818500 distance computations.
rbox 100 W1e-20 D6 t | qhull Tv Qc
Convex hull of 100 points in 6-d:
Number of vertices: 100
Number of facets: 5972
Number of non-simplicial facets: 8
Statistics for: rbox 100 W1e-20 D6 t1588311727 | qhull Tv Qc
Number of points processed: 100
Number of hyperplanes created: 20141
Number of distance tests for qhull: 31581
Number of distance tests for merging: 201768
Number of distance tests for checking: 62670
Number of merged facets: 197
CPU seconds to compute hull (after input): 0.3543
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 597200 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: 1994
Statistics for: rbox 50 W1e-20 D6 t1588311727 | qhull Qv Tv Qc
Number of points processed: 50
Number of hyperplanes created: 5788
Number of distance tests for qhull: 8370
CPU seconds to compute hull (after input): 0.9619
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 99700 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: 8479
Number of facets: 8
Number of non-simplicial facets: 8
Statistics for: rbox 10000 D4 t1588311728 | qhull QR0 Qc C-0.01 A0.3 Tv QR1588311728
Number of points processed: 62
Number of hyperplanes created: 439
Number of distance tests for qhull: 2017008
Number of distance tests for merging: 33012
Number of distance tests for checking: 89932
Number of merged facets: 496
CPU seconds to compute hull (after input): 0.374
Maximum distance of point above facet: 0.04
Maximum distance of vertex below facet: -0.18 (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 t1588311729 | qhull d QR0 Qc C-1e-8 Qu Tv QR1588311729
Number of points processed: 1000
Number of hyperplanes created: 5582
Number of facets in hull: 1996
Number of distance tests for qhull: 30292
CPU seconds to compute hull (after input): 0.04915
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: 159
Number of coplanar points: 25
Number of facets: 1653
Number of non-simplicial facets: 444
Statistics for: rbox 300 D5 t1588311729 | qhull A-0.999 Qx Qc Tcv
Number of points processed: 187
Number of hyperplanes created: 11992
Number of distance tests for qhull: 203919
Number of distance tests for merging: 63746
Number of distance tests for checking: 30193
Number of merged facets: 1265
CPU seconds to compute hull (after input): 0.3031
Maximum distance of point above facet: 4.1e-05
Maximum distance of vertex below facet: -0.023 (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 495900 distance computations.
rbox 100 D6 t |qhull A-0.9999 Qx Qc Tcv
Convex hull of 100 points in 6-d:
Number of vertices: 91
Number of facets: 4008
Number of non-simplicial facets: 260
Statistics for: rbox 100 D6 t1588311730 | qhull A-0.9999 Qx Qc Tcv
Number of points processed: 94
Number of hyperplanes created: 14112
Number of distance tests for qhull: 32740
Number of distance tests for merging: 65758
Number of distance tests for checking: 68451
Number of merged facets: 658
CPU seconds to compute hull (after input): 0.2856
Maximum distance of vertex below facet: -0.006 (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 400800 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: 47
Number of coplanar points: 2
Number of facets: 4637
Number of non-simplicial facets: 91
Statistics for: rbox 50 D7 t1588311730 | qhull A-0.99999 Qx Qc Tcv W0.1
Number of points processed: 47
Number of hyperplanes created: 12570
Number of distance tests for qhull: 23985
Number of distance tests for merging: 61746
Number of distance tests for checking: 183795
Number of merged facets: 273
CPU seconds to compute hull (after input): 0.3462
Maximum distance of point above facet: 0.14
Maximum distance of vertex below facet: -0.0021 (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 231850 distance computations.
echo =======================================================
=======================================================
echo === The following commands may cause errors ${d:-`date`}
=== The following commands may cause errors Fri May 1 05:42:10 UTC 2020
echo =======================================================
=======================================================
echo === check bad cases for Qhull ${d:-`date`}
=== check bad cases for Qhull Fri May 1 05:42:10 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: 992
Number of facets: 1531
Number of non-simplicial facets: 4
Statistics for: rbox 1000 L100000 s G1e-6 t1588311730 | qhull Tv
Number of points processed: 993
Number of hyperplanes created: 3696
Number of distance tests for qhull: 32016
Number of distance tests for merging: 124223
Number of distance tests for checking: 112605
Number of merged facets: 451
CPU seconds to compute hull (after input): 0.1162
Maximum distance of point above facet: 3.1e-15 (0.6x)
Maximum distance of vertex below facet: -4.5e-15 (0.8x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 1531000 distance computations.
rbox 1000 L100000 s G1e-6 t | qhull Tv Q10
Convex hull of 1000 points in 3-d:
Number of vertices: 993
Number of facets: 1491
Number of non-simplicial facets: 2
Statistics for: rbox 1000 L100000 s G1e-6 t1588311731 | qhull Tv Q10
Number of points processed: 994
Number of hyperplanes created: 3407
Number of distance tests for qhull: 28598
Number of distance tests for merging: 143636
Number of distance tests for checking: 133166
Number of merged facets: 491
CPU seconds to compute hull (after input): 0.126
Maximum distance of point above facet: 1.4e-15 (0.3x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 1491000 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: 1485
Number of non-simplicial facets: 149
Statistics for: rbox 1000 s Z1 G1e-13 t1588311731 | qhull Tv
Number of points processed: 1001
Number of hyperplanes created: 4262
Number of distance tests for qhull: 28884
Number of distance tests for merging: 80212
Number of distance tests for checking: 243415
Number of merged facets: 1374
CPU seconds to compute hull (after input): 0.1419
Maximum distance of point above facet: 8.6e-15 (1.6x)
Maximum distance of vertex below facet: -1.4e-14 (2.5x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 1486485 distance computations.
rbox 1000 s W1e-13 P0 t | qhull d Qbb Qc Q12 Tv
Delaunay triangulation by the convex hull of 1001 points in 4-d:
Number of input sites: 1001
Number of Delaunay regions: 1996
Statistics for: rbox 1000 s W1e-13 P0 t1588311732 | qhull d Qbb Qc Q12 Tv
Number of points processed: 1001
Number of hyperplanes created: 128790
Number of facets in hull: 2031
Number of distance tests for qhull: 183016
Number of distance tests for merging: 13915855
Number of distance tests for checking: 2010191
Number of merged facets: 122346
CPU seconds to compute hull (after input): 15.02
Maximum distance of point above facet: 4.7e-13 (46.4x)
Maximum distance of vertex below facet: -5.1e-13 (51.0x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 1997996 distance computations.
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.
QH6170 qhull topology error (qh_partitionvisible): all new facets deleted as
degenerate facets. Can not continue.
While executing: rbox 1000 s W1e-13 t1588311747 | qhull d Q12 Tv
Options selected for Qhull 2019.1.r 2019/06/21:
run-id 1533799619 delaunay Q12-allow-wide Tverify _pre-merge
_zero-centrum Pgood _max-width 1 Error-roundoff 1e-15 _one-merge 9.1e-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 _narrow-hull 0
_maxoutside 1e-12
Last point added to hull was p925. Last merge was #5400.
At error exit:
Delaunay triangulation by the convex hull of 1000 points in 4-d:
Number of input sites: 60
Total number of deleted points due to merging: 490
Number of nearly incident points: 212
Number of Delaunay regions: 47
Number of non-simplicial Delaunay regions: 10
Statistics for: rbox 1000 s W1e-13 t1588311747 | qhull d Q12 Tv
Number of points processed: 557
Number of hyperplanes created: 6634
Number of facets in hull: 75
Number of distance tests for qhull: 1239067
Number of distance tests for merging: 1233932
Number of distance tests for checking: 0
Number of merged facets: 5642
Maximum distance of point above facet: 1e-12 (103.5x)
Maximum distance of vertex below facet: -1.6e-11 (1545.3x)
precision problems (corrected unless 'Q0' or an error)
577 flipped facets
1010 coplanar horizon facets for new vertices
232 coplanar points during partitioning
8 dupridges with flip facet into good neighbor
A Qhull topology error has occurred. Qhull did not recover from 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 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: 967
Total number of deleted points due to merging: 8
Total number of nearly incident points: 25
Number of Delaunay regions: 697
Number of non-simplicial Delaunay regions: 134
Statistics for: rbox 1000 s W1e-13 D2 t1588311748 | qhull d Tv
Number of points processed: 975
Number of hyperplanes created: 3847
Number of facets in hull: 1419
Number of distance tests for qhull: 51195
Number of distance tests for merging: 40524
Number of distance tests for checking: 117977
Number of merged facets: 833
CPU seconds to compute hull (after input): 0.08592
Maximum distance of point above facet: 1.5e-13 (27.8x)
Maximum distance of vertex below facet: -6.8e-15 (1.2x)
Output completed. Verifying that all points are below outer planes of
all facets. Will make 697000 distance computations.
echo === check Qhull without merging Q0 ${d:-`date`}
=== check Qhull without merging Q0 Fri May 1 05:42:28 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): 0.239
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): 0.01475
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): 0.007893
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): 0.000584
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): 0.01559
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): 0.01223
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 2019.1.r 2019/06/21:
run-id 1533833233 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): 0.004335
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): 0.004268
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): 0.06447
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 2019.1.r 2019/06/21:
run-id 1533833233 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 2019.1.r 2019/06/21:
run-id 1533833233 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)
echo === check nearly incident points ${d:-`date`}
=== check nearly incident points Fri May 1 05:42:29 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): 0.6762
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): 0.6799
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 2019.1.r 2019/06/21:
run-id 1533866847 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): 0.0264
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): 0.0256
Maximum distance of point above facet: 1.3e-14 (1.3x)
Maximum distance of vertex below facet: -1.4e-14 (1.4x)
qhull -
qhull -- compute convex hulls and related structures.
http://www.qhull.org 2019.1.r 2019/06/21
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: 2019/06/21
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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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 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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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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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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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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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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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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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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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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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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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.
Geometry Center 2019/05/03 12
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.
Geometry Center 2019/05/03 13
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.
Geometry Center 2019/05/03 14
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.
Geometry Center 2019/05/03 15
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
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[ 47%] Built target qhull
[ 58%] Built target qhullstatic
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[ 75%] Built target qdelaunay
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[ 89%] Built target qhullcpp
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[ 92%] Built target user_eg
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[ 94%] Built target qconvex
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[ 96%] Built target rbox
[ 98%] Built target qhalf
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[100%] Built target user_eg3
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Install the project...
/usr/bin/cmake -P cmake_install.cmake
-- Install configuration: "None"
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.7.3.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.7deb1
-- Set runtime path of "/<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.7.3.2" to ""
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhullcpp.so
-- 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/lib/arm-linux-gnueabihf/libqhull_r.so.7.3.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_r.so.7deb1
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_r.so
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull.so.7.3.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull.so.7deb1
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull.so
-- 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/libqhull_p.so.7.3.2
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_p.so.7deb1
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/arm-linux-gnueabihf/libqhull_p.so
-- 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.pc
-- 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/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/index.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-geom.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-globa.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-io.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-mem.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-merge.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-poly.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-qhull.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-set.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-stat.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull/qh-user.htm
-- 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/libqhull_r/index.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-geom_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-globa_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-io_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-mem_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-merge_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-poly_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-qhull_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-set_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-stat_r.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/include/libqhull_r/qh-user_r.htm
-- 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/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/normal_voronoi_knauss_oesterle.jpg
-- 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_findbestfacet-drielsma.pdf
-- 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.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/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/index.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qconvex.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/qdelaun.htm
-- 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.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/qvoronoi.htm
-- Installing: /<<PKGBUILDDIR>>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-get.htm
make[2]: Leaving directory '/<<PKGBUILDDIR>>/obj-arm-linux-gnueabihf'
# 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'
# Move documentation out of include dir
mkdir -p debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r
mv --verbose debian/tmp/usr/include/libqhull_r/*.htm debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r
renamed 'debian/tmp/usr/include/libqhull_r/index.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/index.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-geom_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-geom_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-globa_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-globa_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-io_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-io_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-mem_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-mem_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-merge_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-merge_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-poly_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-poly_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-qhull_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-qhull_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-set_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-set_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-stat_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-stat_r.htm'
renamed 'debian/tmp/usr/include/libqhull_r/qh-user_r.htm' -> 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qh-user_r.htm'
rm --verbose debian/tmp/usr/include/libqhull/*.htm
removed 'debian/tmp/usr/include/libqhull/index.htm'
removed 'debian/tmp/usr/include/libqhull/qh-geom.htm'
removed 'debian/tmp/usr/include/libqhull/qh-globa.htm'
removed 'debian/tmp/usr/include/libqhull/qh-io.htm'
removed 'debian/tmp/usr/include/libqhull/qh-mem.htm'
removed 'debian/tmp/usr/include/libqhull/qh-merge.htm'
removed 'debian/tmp/usr/include/libqhull/qh-poly.htm'
removed 'debian/tmp/usr/include/libqhull/qh-qhull.htm'
removed 'debian/tmp/usr/include/libqhull/qh-set.htm'
removed 'debian/tmp/usr/include/libqhull/qh-stat.htm'
removed 'debian/tmp/usr/include/libqhull/qh-user.htm'
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_installinit -a -O--buildsystem=cmake
dh_installsystemduser -a -O--buildsystem=cmake
dh_perl -a -O--buildsystem=cmake
debian/rules override_dh_link
make[1]: Entering directory '/<<PKGBUILDDIR>>'
mkdir -p debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/geom_r.h' -> '/usr/include/libqhull_r/geom_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/io_r.h' -> '/usr/include/libqhull_r/io_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/libqhull_r.h' -> '/usr/include/libqhull_r/libqhull_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/mem_r.h' -> '/usr/include/libqhull_r/mem_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/merge_r.h' -> '/usr/include/libqhull_r/merge_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/poly_r.h' -> '/usr/include/libqhull_r/poly_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qhull_ra.h' -> '/usr/include/libqhull_r/qhull_ra.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/qset_r.h' -> '/usr/include/libqhull_r/qset_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/random_r.h' -> '/usr/include/libqhull_r/random_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/stat_r.h' -> '/usr/include/libqhull_r/stat_r.h'
'debian/libqhull-doc/usr/share/doc/libqhull-dev/qhull/src/libqhull_r/user_r.h' -> '/usr/include/libqhull_r/user_r.h'
dh_link
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
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_missing: warning: usr/lib/arm-linux-gnueabihf/libqhull_p.so.7.3.2 exists in debian/tmp but is not installed to anywhere
dh_missing: warning: usr/lib/arm-linux-gnueabihf/libqhull_p.so.7deb1 exists in debian/tmp but is not installed to anywhere
dh_missing: warning: usr/lib/arm-linux-gnueabihf/libqhull_p.so exists in debian/tmp but is not installed to anywhere
The following debhelper tools have reported what they installed (with files per package)
* dh_install: libqhull-dev (8), libqhull-doc (1), libqhull-r7deb1 (2), libqhull7deb1 (2), libqhullcpp7deb1 (2), qhull-bin (2)
* dh_installdocs: libqhull-dev (0), libqhull-doc (1), libqhull-r7deb1 (0), libqhull7deb1 (0), libqhullcpp7deb1 (0), qhull-bin (0)
* dh_installexamples: libqhull-dev (0), libqhull-doc (0), libqhull-r7deb1 (0), libqhull7deb1 (0), libqhullcpp7deb1 (0), qhull-bin (0)
* dh_installman: libqhull-dev (0), libqhull-doc (0), libqhull-r7deb1 (0), libqhull7deb1 (0), libqhullcpp7deb1 (0), qhull-bin (4)
If the missing files are installed by another tool, please file a bug against it.
When filing the report, if the tool is not part of debhelper itself, please reference the
"Logging helpers and dh_missing" section from the "PROGRAMMING" guide for debhelper (10.6.3+).
(in the debhelper package: /usr/share/doc/debhelper/PROGRAMMING.gz)
Be sure to test with dpkg-buildpackage -A/-B as the results may vary when only a subset is built
For a short-term work-around: Add the files to debian/not-installed
dh_dwz -a -O--buildsystem=cmake
dh_strip -a -O--buildsystem=cmake
dh_makeshlibs -a -O--buildsystem=cmake
dh_shlibdeps -a -O--buildsystem=cmake
dpkg-shlibdeps: warning: package could avoid a useless dependency if debian/qhull-bin/usr/bin/qdelaunay debian/qhull-bin/usr/bin/qvoronoi debian/qhull-bin/usr/bin/qhull debian/qhull-bin/usr/bin/rbox debian/qhull-bin/usr/bin/qconvex debian/qhull-bin/usr/bin/qhalf 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/libqhullcpp7deb1/usr/lib/arm-linux-gnueabihf/libqhullcpp.so.7.3.2 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 'libqhull7deb1' in '../libqhull7deb1_2019.1-5_armhf.deb'.
dpkg-deb: building package 'libqhull-r7deb1-dbgsym' in '../libqhull-r7deb1-dbgsym_2019.1-5_armhf.deb'.
dpkg-deb: building package 'libqhull-dev' in '../libqhull-dev_2019.1-5_armhf.deb'.
dpkg-deb: building package 'libqhullcpp7deb1' in '../libqhullcpp7deb1_2019.1-5_armhf.deb'.
dpkg-deb: building package 'libqhullcpp7deb1-dbgsym' in '../libqhullcpp7deb1-dbgsym_2019.1-5_armhf.deb'.
dpkg-deb: building package 'libqhull7deb1-dbgsym' in '../libqhull7deb1-dbgsym_2019.1-5_armhf.deb'.
dpkg-deb: building package 'libqhull-r7deb1' in '../libqhull-r7deb1_2019.1-5_armhf.deb'.
dpkg-deb: building package 'qhull-bin' in '../qhull-bin_2019.1-5_armhf.deb'.
dpkg-deb: building package 'qhull-bin-dbgsym' in '../qhull-bin-dbgsym_2019.1-5_armhf.deb'.
dpkg-genbuildinfo --build=any
dpkg-genchanges --build=any -mRaspbian wandboard test autobuilder <root@raspbian.org> >../qhull_2019.1-5_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 2020-05-01T05:43:38Z
Finished
--------
I: Built successfully
+------------------------------------------------------------------------------+
| Post Build Chroot |
+------------------------------------------------------------------------------+
+------------------------------------------------------------------------------+
| Changes |
+------------------------------------------------------------------------------+
qhull_2019.1-5_armhf.changes:
-----------------------------
Format: 1.8
Date: Wed, 29 Apr 2020 10:15:52 +0200
Source: qhull
Binary: libqhull-dev libqhull-r7deb1 libqhull-r7deb1-dbgsym libqhull7deb1 libqhull7deb1-dbgsym libqhullcpp7deb1 libqhullcpp7deb1-dbgsym qhull-bin qhull-bin-dbgsym
Architecture: armhf
Version: 2019.1-5
Distribution: bullseye-staging
Urgency: medium
Maintainer: Raspbian wandboard test autobuilder <root@raspbian.org>
Changed-By: Timo Röhling <timo.roehling@fkie.fraunhofer.de>
Description:
libqhull-dev - calculate convex hulls and related structures (development files)
libqhull-r7deb1 - calculate convex hulls and related structures (reentrant shared l
libqhull7deb1 - calculate convex hulls and related structures (shared library)
libqhullcpp7deb1 - calculate convex hulls and related structures (C++ shared library
qhull-bin - calculate convex hulls and related structures (utilities)
Changes:
qhull (2019.1-5) unstable; urgency=medium
.
* Team upload.
* Transition to unstable.
Checksums-Sha1:
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Checksums-Sha256:
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1a300c3367d24585fb39083309322330 216652 libs optional libqhull-r7deb1_2019.1-5_armhf.deb
67a21adcc41da10620b1f20a00c07912 279112 debug optional libqhull7deb1-dbgsym_2019.1-5_armhf.deb
c0bf8ee024d3df5a08107452bad6da78 217864 libs optional libqhull7deb1_2019.1-5_armhf.deb
4b8c28998454721e18d4a97a115c06cd 506200 debug optional libqhullcpp7deb1-dbgsym_2019.1-5_armhf.deb
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3ff51d178cd9206714352ff1e26b4a9e 350232 math optional qhull-bin_2019.1-5_armhf.deb
a19bc1abdf49c2d0661d70a41bc09153 9037 math optional qhull_2019.1-5_armhf.buildinfo
+------------------------------------------------------------------------------+
| Package contents |
+------------------------------------------------------------------------------+
libqhull-dev_2019.1-5_armhf.deb
-------------------------------
new Debian package, version 2.0.
size 381608 bytes: control archive=2368 bytes.
829 bytes, 19 lines control
4486 bytes, 62 lines md5sums
Package: libqhull-dev
Source: qhull
Version: 2019.1-5
Architecture: armhf
Maintainer: Debian Science Maintainers <debian-science-maintainers@lists.alioth.debian.org>
Installed-Size: 1585
Depends: libqhull7deb1 (= 2019.1-5), libqhull-r7deb1 (= 2019.1-5), libqhullcpp7deb1 (= 2019.1-5)
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
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-----------------------------------------
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libqhull-r7deb1_2019.1-5_armhf.deb
----------------------------------
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Description: calculate convex hulls and related structures (reentrant shared library)
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libqhull7deb1-dbgsym_2019.1-5_armhf.deb
---------------------------------------
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libqhull7deb1_2019.1-5_armhf.deb
--------------------------------
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Description: calculate convex hulls and related structures (shared library)
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intersections about a point, Voronoi diagrams, furthest-site
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runs in 2-d, 3-d, 4-d, and higher dimensions.
.
This package contains the shared C library.
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libqhullcpp7deb1-dbgsym_2019.1-5_armhf.deb
------------------------------------------
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libqhullcpp7deb1_2019.1-5_armhf.deb
-----------------------------------
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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
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runs in 2-d, 3-d, 4-d, and higher dimensions.
.
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qhull-bin-dbgsym_2019.1-5_armhf.deb
-----------------------------------
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-rw-r--r-- root/root 277832 2020-04-29 08:15 ./usr/lib/debug/.build-id/b3/0cd83bde63de5e1d6fc395c0d9f8bb0e59dea8.debug
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/lib/debug/.build-id/c9/
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-rw-r--r-- root/root 19384 2020-04-29 08:15 ./usr/lib/debug/.dwz/arm-linux-gnueabihf/qhull-bin.debug
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drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/share/doc/
lrwxrwxrwx root/root 0 2020-04-29 08:15 ./usr/share/doc/qhull-bin-dbgsym -> qhull-bin
qhull-bin_2019.1-5_armhf.deb
----------------------------
new Debian package, version 2.0.
size 350232 bytes: control archive=1296 bytes.
1045 bytes, 24 lines control
905 bytes, 15 lines md5sums
Package: qhull-bin
Source: qhull
Version: 2019.1-5
Architecture: armhf
Maintainer: Debian Science Maintainers <debian-science-maintainers@lists.alioth.debian.org>
Installed-Size: 2328
Depends: libqhull7deb1 (= 2019.1-5), libc6 (>= 2.29)
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 2020-04-29 08:15 ./
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/bin/
-rwxr-xr-x root/root 378364 2020-04-29 08:15 ./usr/bin/qconvex
-rwxr-xr-x root/root 377960 2020-04-29 08:15 ./usr/bin/qdelaunay
-rwxr-xr-x root/root 377928 2020-04-29 08:15 ./usr/bin/qhalf
-rwxr-xr-x root/root 394144 2020-04-29 08:15 ./usr/bin/qhull
-rwxr-xr-x root/root 377368 2020-04-29 08:15 ./usr/bin/qvoronoi
-rwxr-xr-x root/root 384120 2020-04-29 08:15 ./usr/bin/rbox
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/share/
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/share/doc/
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/share/doc/qhull-bin/
-rw-r--r-- root/root 5777 2020-04-29 08:15 ./usr/share/doc/qhull-bin/changelog.Debian.gz
-rw-r--r-- root/root 51980 2020-04-29 08:15 ./usr/share/doc/qhull-bin/changelog.gz
-rw-r--r-- root/root 2363 2020-04-29 08:15 ./usr/share/doc/qhull-bin/copyright
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/share/man/
drwxr-xr-x root/root 0 2020-04-29 08:15 ./usr/share/man/man1/
-rw-r--r-- root/root 586 2020-04-29 08:15 ./usr/share/man/man1/qconvex.1.gz
-rw-r--r-- root/root 592 2020-04-29 08:15 ./usr/share/man/man1/qdelaunay.1.gz
-rw-r--r-- root/root 595 2020-04-29 08:15 ./usr/share/man/man1/qhalf.1.gz
-rw-r--r-- root/root 12910 2020-04-29 08:15 ./usr/share/man/man1/qhull.1.gz
-rw-r--r-- root/root 589 2020-04-29 08:15 ./usr/share/man/man1/qvoronoi.1.gz
-rw-r--r-- root/root 1919 2020-04-29 08:15 ./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: 73548
Build-Time: 364
Distribution: bullseye-staging
Host Architecture: armhf
Install-Time: 999
Job: qhull_2019.1-5
Machine Architecture: armhf
Package: qhull
Package-Time: 1418
Source-Version: 2019.1-5
Space: 73548
Status: successful
Version: 2019.1-5
--------------------------------------------------------------------------------
Finished at 2020-05-01T05:43:38Z
Build needed 00:23:38, 73548k disc space