https://launchpad.net/ubuntu/+source/qhull/2020.2-2/+build/20290174 RUN: /usr/share/launchpad-buildd/bin/builder-prep Kernel version: Linux bos02-ppc64el-022 4.15.0-124-generic #127-Ubuntu SMP Fri Nov 6 10:54:31 UTC 2020 ppc64le Buildd toolchain package versions: launchpad-buildd_193~468~ubuntu18.04.1 python3-lpbuildd_193~468~ubuntu18.04.1 sbuild_0.75.0-1ubuntu1 bzr-builder_0.7.3+bzr174~ppa13~ubuntu16.04.1 bzr_2.7.0+bzr6622-10 git-build-recipe_0.3.6~git201906051340.ff11471~ubuntu18.04.1 git_1:2.17.1-1ubuntu0.7 dpkg-dev_1.19.0.5ubuntu2.3 python-debian_0.1.32 python3-debian_0.1.32. Syncing the system clock with the buildd NTP service... 24 Nov 06:52:10 ntpdate[2009]: adjust time server 10.211.37.1 offset 0.012024 sec RUN: /usr/share/launchpad-buildd/bin/in-target unpack-chroot --backend=chroot --series=hirsute --arch=ppc64el PACKAGEBUILD-20290174 --image-type chroot /home/buildd/filecache-default/562b8b0d733db483afe9600af35c69ac54075a74 Creating target for build PACKAGEBUILD-20290174 RUN: /usr/share/launchpad-buildd/bin/in-target mount-chroot --backend=chroot --series=hirsute --arch=ppc64el PACKAGEBUILD-20290174 Starting target for build PACKAGEBUILD-20290174 RUN: /usr/share/launchpad-buildd/bin/in-target override-sources-list --backend=chroot --series=hirsute --arch=ppc64el PACKAGEBUILD-20290174 'deb http://ftpmaster.internal/ubuntu hirsute main universe' 'deb http://ftpmaster.internal/ubuntu hirsute-security main universe' 'deb http://ftpmaster.internal/ubuntu hirsute-updates main universe' 'deb http://ftpmaster.internal/ubuntu hirsute-proposed main universe' Overriding sources.list in build-PACKAGEBUILD-20290174 RUN: /usr/share/launchpad-buildd/bin/in-target update-debian-chroot --backend=chroot --series=hirsute --arch=ppc64el PACKAGEBUILD-20290174 Updating target for build PACKAGEBUILD-20290174 Get:1 http://ftpmaster.internal/ubuntu hirsute InRelease [269 kB] Get:2 http://ftpmaster.internal/ubuntu hirsute-security InRelease [90.7 kB] Get:3 http://ftpmaster.internal/ubuntu hirsute-updates InRelease [90.7 kB] Get:4 http://ftpmaster.internal/ubuntu hirsute-proposed InRelease [121 kB] Get:5 http://ftpmaster.internal/ubuntu hirsute/main ppc64el Packages [1346 kB] Get:6 http://ftpmaster.internal/ubuntu hirsute/main Translation-en [509 kB] Get:7 http://ftpmaster.internal/ubuntu hirsute/universe ppc64el Packages [12.5 MB] Get:8 http://ftpmaster.internal/ubuntu hirsute/universe Translation-en [5341 kB] Get:9 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el Packages [209 kB] Get:10 http://ftpmaster.internal/ubuntu hirsute-proposed/main Translation-en [88.0 kB] Get:11 http://ftpmaster.internal/ubuntu hirsute-proposed/universe ppc64el Packages [1075 kB] Get:12 http://ftpmaster.internal/ubuntu hirsute-proposed/universe Translation-en [445 kB] Fetched 22.1 MB in 7s (3383 kB/s) Reading package lists... Reading package lists... Building dependency tree... Reading state information... Calculating upgrade... The following packages were automatically installed and are no longer required: libperl5.30 perl-modules-5.30 Use 'sudo apt autoremove' to remove them. The following NEW packages will be installed: libperl5.32 perl-modules-5.32 The following packages will be upgraded: apt base-files base-passwd bash binutils binutils-common binutils-powerpc64le-linux-gnu bsdutils coreutils cpp-10 dash dpkg dpkg-dev fakeroot g++-10 gcc-10 gcc-10-base grep init init-system-helpers libapparmor1 libapt-pkg6.0 libasan6 libatomic1 libaudit-common libaudit1 libbinutils libblkid1 libc-bin libc-dev-bin libc6 libc6-dev libcap-ng0 libcap2 libcc1-0 libcrypt-dev libcrypt1 libcryptsetup12 libctf-nobfd0 libctf0 libdebconfclient0 libdevmapper1.02.1 libdpkg-perl libfakeroot libgcc-10-dev libgcc-s1 libgcrypt20 libgomp1 libgssapi-krb5-2 libidn2-0 libip4tc2 libitm1 libk5crypto3 libkrb5-3 libkrb5support0 liblsan0 libmount1 libmpc3 libncurses6 libncursesw6 libnpth0 libquadmath0 libreadline8 libseccomp2 libselinux1 libsemanage-common libsemanage1 libsmartcols1 libstdc++-10-dev libstdc++6 libsystemd0 libtinfo6 libtirpc-common libtirpc-dev libtirpc3 libtsan0 libubsan1 libudev1 libuuid1 linux-libc-dev mount ncurses-base ncurses-bin perl perl-base readline-common systemd systemd-sysv systemd-timesyncd sysvinit-utils tzdata util-linux 92 upgraded, 2 newly installed, 0 to remove and 0 not upgraded. Need to get 226 MB of archives. After this operation, 806 MB of additional disk space will be used. Get:1 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcrypt-dev ppc64el 1:4.4.17-1ubuntu1 [131 kB] Get:2 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcrypt1 ppc64el 1:4.4.17-1ubuntu1 [99.8 kB] Get:3 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libc6-dev ppc64el 2.32-0ubuntu5 [2131 kB] Get:4 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libc-dev-bin ppc64el 2.32-0ubuntu5 [31.4 kB] Get:5 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el linux-libc-dev ppc64el 5.8.0-30.32+21.04.2 [1135 kB] Get:6 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtirpc-common all 1.2.6-3 [7444 B] Get:7 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libk5crypto3 ppc64el 1.17-10ubuntu1 [105 kB] Get:8 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libgssapi-krb5-2 ppc64el 1.17-10ubuntu1 [135 kB] Get:9 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libkrb5-3 ppc64el 1.17-10ubuntu1 [375 kB] Get:10 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libkrb5support0 ppc64el 1.17-10ubuntu1 [34.8 kB] Get:11 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtirpc-dev ppc64el 1.2.6-3 [208 kB] Get:12 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtirpc3 ppc64el 1.2.6-3 [89.2 kB] Get:13 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libcc1-0 ppc64el 10.2.0-18ubuntu1 [41.8 kB] Get:14 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el gcc-10-base ppc64el 10.2.0-18ubuntu1 [19.7 kB] Get:15 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libgcc-s1 ppc64el 10.2.0-18ubuntu1 [30.1 kB] Get:16 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libgomp1 ppc64el 10.2.0-18ubuntu1 [109 kB] Get:17 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libitm1 ppc64el 10.2.0-18ubuntu1 [28.5 kB] Get:18 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libatomic1 ppc64el 10.2.0-18ubuntu1 [9968 B] Get:19 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libasan6 ppc64el 10.2.0-18ubuntu1 [352 kB] Get:20 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el liblsan0 ppc64el 10.2.0-18ubuntu1 [155 kB] Get:21 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtsan0 ppc64el 10.2.0-18ubuntu1 [324 kB] Get:22 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libubsan1 ppc64el 10.2.0-18ubuntu1 [148 kB] Get:23 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libquadmath0 ppc64el 10.2.0-18ubuntu1 [149 kB] Get:24 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el g++-10 ppc64el 10.2.0-18ubuntu1 [63.5 MB] Get:25 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libstdc++-10-dev ppc64el 10.2.0-18ubuntu1 [1792 kB] Get:26 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libgcc-10-dev ppc64el 10.2.0-18ubuntu1 [1246 kB] Get:27 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el gcc-10 ppc64el 10.2.0-18ubuntu1 [64.7 MB] Get:28 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el cpp-10 ppc64el 10.2.0-18ubuntu1 [57.2 MB] Get:29 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libstdc++6 ppc64el 10.2.0-18ubuntu1 [540 kB] Get:30 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libmpc3 ppc64el 1.2.0-1 [47.1 kB] Get:31 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libctf-nobfd0 ppc64el 2.35.1-3ubuntu1 [54.5 kB] Get:32 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libctf0 ppc64el 2.35.1-3ubuntu1 [53.5 kB] Get:33 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libbinutils ppc64el 2.35.1-3ubuntu1 [531 kB] Get:34 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el binutils-common ppc64el 2.35.1-3ubuntu1 [212 kB] Get:35 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el binutils ppc64el 2.35.1-3ubuntu1 [3372 B] Get:36 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el binutils-powerpc64le-linux-gnu ppc64el 2.35.1-3ubuntu1 [1805 kB] Get:37 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libc6 ppc64el 2.32-0ubuntu5 [2673 kB] Get:38 http://ftpmaster.internal/ubuntu hirsute/main ppc64el base-files ppc64el 11ubuntu16 [60.7 kB] Get:39 http://ftpmaster.internal/ubuntu hirsute/main ppc64el bash ppc64el 5.1~rc2-1ubuntu1 [755 kB] Get:40 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el bsdutils ppc64el 1:2.36.1-1ubuntu1 [91.8 kB] Get:41 http://ftpmaster.internal/ubuntu hirsute/main ppc64el coreutils ppc64el 8.32-4ubuntu1 [1409 kB] Get:42 http://ftpmaster.internal/ubuntu hirsute/main ppc64el dpkg ppc64el 1.20.5ubuntu3 [1199 kB] Get:43 http://ftpmaster.internal/ubuntu hirsute/main ppc64el dash ppc64el 0.5.11+git20200708+dd9ef66+really0.5.10.2-0ubuntu1 [101 kB] Get:44 http://ftpmaster.internal/ubuntu hirsute/main ppc64el grep ppc64el 3.6-1 [160 kB] Get:45 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libncursesw6 ppc64el 6.2+20201114-1 [153 kB] Get:46 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libncurses6 ppc64el 6.2+20201114-1 [122 kB] Get:47 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtinfo6 ppc64el 6.2+20201114-1 [104 kB] Get:48 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el ncurses-bin ppc64el 6.2+20201114-1 [180 kB] Get:49 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el perl-modules-5.32 all 5.32.0-5 [2754 kB] Get:50 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libperl5.32 ppc64el 5.32.0-5 [4037 kB] Get:51 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el perl ppc64el 5.32.0-5 [225 kB] Get:52 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el perl-base ppc64el 5.32.0-5 [1546 kB] Get:53 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el util-linux ppc64el 2.36.1-1ubuntu1 [1118 kB] Get:54 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdebconfclient0 ppc64el 0.255ubuntu1 [6148 B] Get:55 http://ftpmaster.internal/ubuntu hirsute/main ppc64el base-passwd ppc64el 3.5.48 [49.6 kB] Get:56 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el init-system-helpers all 1.59 [38.2 kB] Get:57 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libc-bin ppc64el 2.32-0ubuntu5 [637 kB] Get:58 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el ncurses-base all 6.2+20201114-1 [18.5 kB] Get:59 http://ftpmaster.internal/ubuntu hirsute/main ppc64el sysvinit-utils ppc64el 2.96-5ubuntu1 [22.8 kB] Get:60 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libgcrypt20 ppc64el 1.8.7-2ubuntu1 [444 kB] Get:61 http://ftpmaster.internal/ubuntu hirsute/main ppc64el systemd-sysv ppc64el 246.6-2ubuntu1 [10.3 kB] Get:62 http://ftpmaster.internal/ubuntu hirsute/main ppc64el systemd-timesyncd ppc64el 246.6-2ubuntu1 [28.8 kB] Get:63 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libapparmor1 ppc64el 3.0.0-0ubuntu4 [39.9 kB] Get:64 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libaudit-common all 1:2.8.5-3ubuntu2 [4092 B] Get:65 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libcap-ng0 ppc64el 0.7.9-2.2build1 [11.7 kB] Get:66 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libaudit1 ppc64el 1:2.8.5-3ubuntu2 [42.5 kB] Get:67 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcap2 ppc64el 1:2.44-1 [19.8 kB] Get:68 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libblkid1 ppc64el 2.36.1-1ubuntu1 [151 kB] Get:69 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libselinux1 ppc64el 3.1-2build1 [81.9 kB] Get:70 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libudev1 ppc64el 246.6-2ubuntu1 [82.4 kB] Get:71 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libdevmapper1.02.1 ppc64el 2:1.02.167-1ubuntu4 [157 kB] Get:72 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libuuid1 ppc64el 2.36.1-1ubuntu1 [23.1 kB] Get:73 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcryptsetup12 ppc64el 2:2.3.4-1ubuntu1 [228 kB] Get:74 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libidn2-0 ppc64el 2.3.0-4 [55.3 kB] Get:75 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libip4tc2 ppc64el 1.8.5-3ubuntu4 [22.0 kB] Get:76 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libmount1 ppc64el 2.36.1-1ubuntu1 [166 kB] Get:77 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libseccomp2 ppc64el 2.4.3-1ubuntu5 [48.0 kB] Get:78 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el mount ppc64el 2.36.1-1ubuntu1 [128 kB] Get:79 http://ftpmaster.internal/ubuntu hirsute/main ppc64el systemd ppc64el 246.6-2ubuntu1 [4893 kB] Get:80 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsystemd0 ppc64el 246.6-2ubuntu1 [315 kB] Get:81 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libapt-pkg6.0 ppc64el 2.1.12 [927 kB] Get:82 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el apt ppc64el 2.1.12 [1328 kB] Get:83 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el init ppc64el 1.59 [6168 B] Get:84 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsemanage-common all 3.1-1build1 [10.1 kB] Get:85 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsemanage1 ppc64el 3.1-1build1 [97.0 kB] Get:86 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libsmartcols1 ppc64el 2.36.1-1ubuntu1 [107 kB] Get:87 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el readline-common all 8.1~rc3-1 [54.1 kB] Get:88 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libreadline8 ppc64el 8.1~rc3-1 [151 kB] Get:89 http://ftpmaster.internal/ubuntu hirsute/main ppc64el tzdata all 2020d-1ubuntu1 [293 kB] Get:90 http://ftpmaster.internal/ubuntu hirsute/main ppc64el dpkg-dev all 1.20.5ubuntu3 [758 kB] Get:91 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdpkg-perl all 1.20.5ubuntu3 [232 kB] Get:92 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libfakeroot ppc64el 1.25.3-1.1 [28.6 kB] Get:93 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el fakeroot ppc64el 1.25.3-1.1 [66.4 kB] Get:94 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libnpth0 ppc64el 1.6-3 [8640 B] debconf: delaying package configuration, since apt-utils is not installed Fetched 226 MB in 36s (6196 kB/s) (Reading database ... 12922 files and directories currently installed.) Preparing to unpack .../libcrypt-dev_1%3a4.4.17-1ubuntu1_ppc64el.deb ... Unpacking libcrypt-dev:ppc64el (1:4.4.17-1ubuntu1) over (1:4.4.16-1ubuntu1) ... Preparing to unpack .../libcrypt1_1%3a4.4.17-1ubuntu1_ppc64el.deb ... Unpacking libcrypt1:ppc64el (1:4.4.17-1ubuntu1) over (1:4.4.16-1ubuntu1) ... Setting up libcrypt1:ppc64el (1:4.4.17-1ubuntu1) ... (Reading database ... 12922 files and directories currently installed.) Preparing to unpack .../00-libc6-dev_2.32-0ubuntu5_ppc64el.deb ... Unpacking libc6-dev:ppc64el (2.32-0ubuntu5) over (2.32-0ubuntu3) ... Preparing to unpack .../01-libc-dev-bin_2.32-0ubuntu5_ppc64el.deb ... Unpacking libc-dev-bin (2.32-0ubuntu5) over (2.32-0ubuntu3) ... Preparing to unpack .../02-linux-libc-dev_5.8.0-30.32+21.04.2_ppc64el.deb ... Unpacking linux-libc-dev:ppc64el (5.8.0-30.32+21.04.2) over (5.8.0-25.26) ... Preparing to unpack .../03-libtirpc-common_1.2.6-3_all.deb ... Unpacking libtirpc-common (1.2.6-3) over (1.2.6-1build1) ... 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Setting up binutils (2.35.1-3ubuntu1) ... Setting up dpkg-dev (1.20.5ubuntu3) ... Setting up libtirpc-dev:ppc64el (1.2.6-3) ... Setting up gcc-10 (10.2.0-18ubuntu1) ... Setting up libc6-dev:ppc64el (2.32-0ubuntu5) ... Setting up libstdc++-10-dev:ppc64el (10.2.0-18ubuntu1) ... Setting up g++-10 (10.2.0-18ubuntu1) ... Processing triggers for libc-bin (2.32-0ubuntu5) ... RUN: /usr/share/launchpad-buildd/bin/sbuild-package PACKAGEBUILD-20290174 ppc64el hirsute-proposed -c chroot:build-PACKAGEBUILD-20290174 --arch=ppc64el --dist=hirsute-proposed --nolog qhull_2020.2-2.dsc Initiating build PACKAGEBUILD-20290174 with 4 jobs across 4 processor cores. Kernel reported to sbuild: 4.15.0-124-generic #127-Ubuntu SMP Fri Nov 6 10:54:31 UTC 2020 ppc64le sbuild (Debian sbuild) 0.75.0 (21 Mar 2018) on bos02-ppc64el-022.buildd +==============================================================================+ | qhull 2020.2-2 (ppc64el) Tue, 24 Nov 2020 06:53:33 +0000 | +==============================================================================+ Package: qhull Version: 2020.2-2 Source Version: 2020.2-2 Distribution: hirsute-proposed Machine Architecture: ppc64el Host Architecture: ppc64el Build Architecture: ppc64el Build Type: any I: NOTICE: Log filtering will replace 'home/buildd/build-PACKAGEBUILD-20290174/chroot-autobuild' with '<>' +------------------------------------------------------------------------------+ | Fetch source files | +------------------------------------------------------------------------------+ Local sources ------------- qhull_2020.2-2.dsc exists in .; copying to chroot I: NOTICE: Log filtering will replace 'build/qhull-DPR3Kl/qhull-2020.2' with '<>' I: NOTICE: Log filtering will replace 'build/qhull-DPR3Kl' with '<>' +------------------------------------------------------------------------------+ | 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 '/<>/resolver-IgD1UI/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. Ign:1 copy:/<>/resolver-IgD1UI/apt_archive ./ InRelease Get:2 copy:/<>/resolver-IgD1UI/apt_archive ./ Release [957 B] Ign:3 copy:/<>/resolver-IgD1UI/apt_archive ./ Release.gpg Get:4 copy:/<>/resolver-IgD1UI/apt_archive ./ Sources [349 B] Get:5 copy:/<>/resolver-IgD1UI/apt_archive ./ Packages [434 B] Fetched 1740 B in 0s (97.0 kB/s) Reading package lists... 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: libperl5.30 perl-modules-5.30 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 0 not upgraded. Need to get 860 B of archives. After this operation, 0 B of additional disk space will be used. Get:1 copy:/<>/resolver-IgD1UI/apt_archive ./ sbuild-build-depends-core-dummy 0.invalid.0 [860 B] debconf: delaying package configuration, since apt-utils is not installed Fetched 860 B in 0s (0 B/s) Selecting previously unselected package sbuild-build-depends-core-dummy. (Reading database ... 14849 files and directories currently installed.) Preparing to unpack .../sbuild-build-depends-core-dummy_0.invalid.0_ppc64el.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 (ppc64el included in any all) +------------------------------------------------------------------------------+ | Install package build dependencies | +------------------------------------------------------------------------------+ Setup apt archive ----------------- Merged Build-Depends: debhelper-compat (= 13), cmake, pkg-kde-tools Filtered Build-Depends: debhelper-compat (= 13), cmake, pkg-kde-tools dpkg-deb: building package 'sbuild-build-depends-qhull-dummy' in '/<>/resolver-IgD1UI/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. Ign:1 copy:/<>/resolver-IgD1UI/apt_archive ./ InRelease Get:2 copy:/<>/resolver-IgD1UI/apt_archive ./ Release [963 B] Ign:3 copy:/<>/resolver-IgD1UI/apt_archive ./ Release.gpg Get:4 copy:/<>/resolver-IgD1UI/apt_archive ./ Sources [504 B] Get:5 copy:/<>/resolver-IgD1UI/apt_archive ./ Packages [584 B] Fetched 2051 B in 0s (117 kB/s) Reading package lists... Reading package lists... Install qhull build dependencies (apt-based resolver) ----------------------------------------------------- Installing build dependencies Reading package lists... Building dependency tree... Reading state information... The following packages were automatically installed and are no longer required: libperl5.30 perl-modules-5.30 Use 'apt autoremove' to remove them. The following additional packages will be installed: autoconf automake autopoint autotools-dev bsdextrautils cmake cmake-data debhelper dh-autoreconf dh-strip-nondeterminism diffstat dwz file gettext gettext-base groff-base intltool-debian libaliased-perl libapt-pkg-perl libarchive-zip-perl libarchive13 libasn1-8-heimdal libb-hooks-endofscope-perl libb-hooks-op-check-perl libbrotli1 libcapture-tiny-perl libclass-data-inheritable-perl libclass-method-modifiers-perl libclass-xsaccessor-perl libclone-perl libconfig-tiny-perl libcpanel-json-xs-perl libcroco3 libcurl4 libdata-dpath-perl libdata-messagepack-perl libdata-optlist-perl libdata-validate-domain-perl libdebhelper-perl libdevel-callchecker-perl libdevel-size-perl libdevel-stacktrace-perl libdynaloader-functions-perl libelf1 libemail-address-xs-perl libexception-class-perl libexpat1 libexporter-tiny-perl libfile-basedir-perl libfile-find-rule-perl libfile-stripnondeterminism-perl libfont-ttf-perl libglib2.0-0 libgssapi3-heimdal libhcrypto4-heimdal libheimbase1-heimdal libheimntlm0-heimdal libhtml-html5-entities-perl libhx509-5-heimdal libicu67 libimport-into-perl libio-string-perl libipc-run3-perl libipc-system-simple-perl libiterator-perl libiterator-util-perl libjson-maybexs-perl libjsoncpp1 libkrb5-26-heimdal libldap-2.4-2 liblist-compare-perl liblist-moreutils-perl liblist-utilsby-perl liblzo2-2 libmagic-mgc libmagic1 libmarkdown2 libmodule-implementation-perl libmodule-runtime-perl libmoo-perl libmoox-aliases-perl libmouse-perl libnamespace-clean-perl libnet-domain-tld-perl libnghttp2-14 libnumber-compare-perl libpackage-stash-perl libparams-classify-perl libparams-util-perl libpath-tiny-perl libperlio-gzip-perl libpipeline1 libproc-processtable-perl libpsl5 libpython3-stdlib libpython3.9-minimal libpython3.9-stdlib librhash0 libroken18-heimdal librole-tiny-perl librtmp1 libsasl2-2 libsasl2-modules-db libsereal-decoder-perl libsereal-encoder-perl libsigsegv2 libssh-4 libstrictures-perl libsub-exporter-perl libsub-exporter-progressive-perl libsub-identify-perl libsub-install-perl libsub-name-perl libsub-override-perl libsub-quote-perl libtext-glob-perl libtext-levenshteinxs-perl libtext-markdown-discount-perl libtext-xslate-perl libtime-duration-perl libtime-moment-perl libtimedate-perl libtool libtry-tiny-perl libtype-tiny-perl libuchardet0 libunicode-utf8-perl liburi-perl libuv1 libvariable-magic-perl libwind0-heimdal libxml-libxml-perl libxml-namespacesupport-perl libxml-sax-base-perl libxml-sax-perl libxml2 libyaml-0-2 libyaml-libyaml-perl lintian lzip lzop m4 mailcap man-db media-types mime-support patchutils pkg-kde-tools po-debconf python3 python3-minimal python3.9 python3.9-minimal t1utils ucf unzip Suggested packages: autoconf-archive gnu-standards autoconf-doc cmake-doc ninja-build dh-make gettext-doc libasprintf-dev libgettextpo-dev groff lrzip libxml-parser-perl libscalar-number-perl libbareword-filehandles-perl libindirect-perl libmultidimensional-perl libtool-doc gfortran | fortran95-compiler gcj-jdk libdevel-lexalias-perl libwww-perl binutils-multiarch libtext-template-perl m4-doc apparmor less www-browser cdbs libmail-box-perl python3-doc python3-tk python3-venv python3.9-venv python3.9-doc binfmt-support zip Recommended packages: curl | wget | lynx libarchive-cpio-perl libglib2.0-data shared-mime-info xdg-user-dirs libldap-common libpackage-stash-xs-perl publicsuffix libsasl2-modules libltdl-dev libref-util-perl libtype-tiny-xs-perl libwww-perl libxml-sax-expat-perl libmail-sendmail-perl The following NEW packages will be installed: autoconf automake autopoint autotools-dev bsdextrautils cmake cmake-data debhelper dh-autoreconf dh-strip-nondeterminism diffstat dwz file gettext gettext-base groff-base intltool-debian libaliased-perl libapt-pkg-perl libarchive-zip-perl libarchive13 libasn1-8-heimdal libb-hooks-endofscope-perl libb-hooks-op-check-perl libbrotli1 libcapture-tiny-perl libclass-data-inheritable-perl libclass-method-modifiers-perl libclass-xsaccessor-perl libclone-perl libconfig-tiny-perl libcpanel-json-xs-perl libcroco3 libcurl4 libdata-dpath-perl libdata-messagepack-perl libdata-optlist-perl libdata-validate-domain-perl libdebhelper-perl libdevel-callchecker-perl libdevel-size-perl libdevel-stacktrace-perl libdynaloader-functions-perl libelf1 libemail-address-xs-perl libexception-class-perl libexpat1 libexporter-tiny-perl libfile-basedir-perl libfile-find-rule-perl libfile-stripnondeterminism-perl libfont-ttf-perl libglib2.0-0 libgssapi3-heimdal libhcrypto4-heimdal libheimbase1-heimdal libheimntlm0-heimdal libhtml-html5-entities-perl libhx509-5-heimdal libicu67 libimport-into-perl libio-string-perl libipc-run3-perl libipc-system-simple-perl libiterator-perl libiterator-util-perl libjson-maybexs-perl libjsoncpp1 libkrb5-26-heimdal libldap-2.4-2 liblist-compare-perl liblist-moreutils-perl liblist-utilsby-perl liblzo2-2 libmagic-mgc libmagic1 libmarkdown2 libmodule-implementation-perl libmodule-runtime-perl libmoo-perl libmoox-aliases-perl libmouse-perl libnamespace-clean-perl libnet-domain-tld-perl libnghttp2-14 libnumber-compare-perl libpackage-stash-perl libparams-classify-perl libparams-util-perl libpath-tiny-perl libperlio-gzip-perl libpipeline1 libproc-processtable-perl libpsl5 libpython3-stdlib libpython3.9-minimal libpython3.9-stdlib librhash0 libroken18-heimdal librole-tiny-perl librtmp1 libsasl2-2 libsasl2-modules-db libsereal-decoder-perl libsereal-encoder-perl libsigsegv2 libssh-4 libstrictures-perl libsub-exporter-perl libsub-exporter-progressive-perl libsub-identify-perl libsub-install-perl libsub-name-perl libsub-override-perl libsub-quote-perl libtext-glob-perl libtext-levenshteinxs-perl libtext-markdown-discount-perl libtext-xslate-perl libtime-duration-perl libtime-moment-perl libtimedate-perl libtool libtry-tiny-perl libtype-tiny-perl libuchardet0 libunicode-utf8-perl liburi-perl libuv1 libvariable-magic-perl libwind0-heimdal libxml-libxml-perl libxml-namespacesupport-perl libxml-sax-base-perl libxml-sax-perl libxml2 libyaml-0-2 libyaml-libyaml-perl lintian lzip lzop m4 mailcap man-db media-types mime-support patchutils pkg-kde-tools po-debconf python3 python3-minimal python3.9 python3.9-minimal sbuild-build-depends-qhull-dummy t1utils ucf unzip 0 upgraded, 157 newly installed, 0 to remove and 0 not upgraded. Need to get 38.7 MB of archives. After this operation, 166 MB of additional disk space will be used. Get:1 copy:/<>/resolver-IgD1UI/apt_archive ./ sbuild-build-depends-qhull-dummy 0.invalid.0 [872 B] Get:2 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libpython3.9-minimal ppc64el 3.9.0-5 [748 kB] Get:3 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libexpat1 ppc64el 2.2.10-1 [77.6 kB] Get:4 http://ftpmaster.internal/ubuntu hirsute/main ppc64el python3.9-minimal ppc64el 3.9.0-5 [1832 kB] Get:5 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el python3-minimal ppc64el 3.9.0-3 [24.0 kB] Get:6 http://ftpmaster.internal/ubuntu hirsute/universe ppc64el media-types all 1.0.1ubuntu1 [10.9 kB] Get:7 http://ftpmaster.internal/ubuntu hirsute/universe ppc64el mailcap all 3.67ubuntu1 [24.2 kB] Get:8 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el mime-support all 3.66 [3696 B] Get:9 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libpython3.9-stdlib ppc64el 3.9.0-5 [1752 kB] Get:10 http://ftpmaster.internal/ubuntu hirsute/main ppc64el python3.9 ppc64el 3.9.0-5 [408 kB] Get:11 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libpython3-stdlib ppc64el 3.9.0-3 [7280 B] Get:12 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el python3 ppc64el 3.9.0-3 [48.8 kB] Get:13 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el bsdextrautils ppc64el 2.36.1-1ubuntu1 [83.5 kB] Get:14 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libuchardet0 ppc64el 0.0.7-1 [71.0 kB] Get:15 http://ftpmaster.internal/ubuntu hirsute/main ppc64el groff-base ppc64el 1.22.4-5 [922 kB] Get:16 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libpipeline1 ppc64el 1.5.3-1 [29.6 kB] Get:17 http://ftpmaster.internal/ubuntu hirsute/main ppc64el man-db ppc64el 2.9.3-2 [1148 kB] Get:18 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libmagic-mgc ppc64el 1:5.39-3 [228 kB] Get:19 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libmagic1 ppc64el 1:5.39-3 [93.4 kB] Get:20 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el file ppc64el 1:5.39-3 [24.7 kB] Get:21 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libelf1 ppc64el 0.182-1 [52.3 kB] Get:22 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libglib2.0-0 ppc64el 2.66.3-1 [1408 kB] Get:23 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libicu67 ppc64el 67.1-4 [8812 kB] Get:24 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libxml2 ppc64el 2.9.10+dfsg-6.2 [656 kB] Get:25 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libyaml-0-2 ppc64el 0.2.2-1 [55.8 kB] Get:26 http://ftpmaster.internal/ubuntu hirsute/main ppc64el ucf all 3.0043 [56.1 kB] Get:27 http://ftpmaster.internal/ubuntu hirsute/main ppc64el gettext-base ppc64el 0.19.8.1-10build1 [52.5 kB] Get:28 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libpsl5 ppc64el 0.21.0-1.1ubuntu1 [54.0 kB] Get:29 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libuv1 ppc64el 1.40.0-1 [90.2 kB] Get:30 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsigsegv2 ppc64el 2.12-2build1 [14.4 kB] Get:31 http://ftpmaster.internal/ubuntu hirsute/main ppc64el m4 ppc64el 1.4.18-4 [210 kB] Get:32 http://ftpmaster.internal/ubuntu hirsute/main ppc64el autoconf all 2.69-11.1 [321 kB] Get:33 http://ftpmaster.internal/ubuntu hirsute/main ppc64el autotools-dev all 20180224.1 [39.6 kB] Get:34 http://ftpmaster.internal/ubuntu hirsute/main ppc64el automake all 1:1.16.2-4ubuntu1 [548 kB] Get:35 http://ftpmaster.internal/ubuntu hirsute/main ppc64el autopoint all 0.19.8.1-10build1 [412 kB] Get:36 http://ftpmaster.internal/ubuntu hirsute/main ppc64el cmake-data all 3.18.4-1ubuntu1 [1705 kB] Get:37 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libarchive13 ppc64el 3.4.3-2 [416 kB] Get:38 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libbrotli1 ppc64el 1.0.9-2build1 [297 kB] Get:39 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libroken18-heimdal ppc64el 7.7.0+dfsg-2 [46.4 kB] Get:40 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libasn1-8-heimdal ppc64el 7.7.0+dfsg-2 [176 kB] Get:41 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libheimbase1-heimdal ppc64el 7.7.0+dfsg-2 [32.4 kB] Get:42 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libhcrypto4-heimdal ppc64el 7.7.0+dfsg-2 [108 kB] Get:43 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libwind0-heimdal ppc64el 7.7.0+dfsg-2 [48.9 kB] Get:44 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libhx509-5-heimdal ppc64el 7.7.0+dfsg-2 [120 kB] Get:45 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libkrb5-26-heimdal ppc64el 7.7.0+dfsg-2 [234 kB] Get:46 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libheimntlm0-heimdal ppc64el 7.7.0+dfsg-2 [17.4 kB] Get:47 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libgssapi3-heimdal ppc64el 7.7.0+dfsg-2 [105 kB] Get:48 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsasl2-modules-db ppc64el 2.1.27+dfsg-2ubuntu1 [16.8 kB] Get:49 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsasl2-2 ppc64el 2.1.27+dfsg-2ubuntu1 [60.0 kB] Get:50 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libldap-2.4-2 ppc64el 2.4.53+dfsg-1ubuntu5 [177 kB] Get:51 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libnghttp2-14 ppc64el 1.41.0-3 [78.1 kB] Get:52 http://ftpmaster.internal/ubuntu hirsute/main ppc64el librtmp1 ppc64el 2.4+20151223.gitfa8646d.1-2build2 [59.2 kB] Get:53 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libssh-4 ppc64el 0.9.5-1 [195 kB] Get:54 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcurl4 ppc64el 7.72.0-1ubuntu1 [262 kB] Get:55 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libjsoncpp1 ppc64el 1.7.4-3.1ubuntu2 [81.4 kB] Get:56 http://ftpmaster.internal/ubuntu hirsute/main ppc64el librhash0 ppc64el 1.4.0-1 [120 kB] Get:57 http://ftpmaster.internal/ubuntu hirsute/main ppc64el cmake ppc64el 3.18.4-1ubuntu1 [6423 kB] Get:58 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libtool all 2.4.6-14 [161 kB] Get:59 http://ftpmaster.internal/ubuntu hirsute/main ppc64el dh-autoreconf all 19 [16.1 kB] Get:60 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdebhelper-perl all 13.2.1ubuntu1 [63.6 kB] Get:61 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libarchive-zip-perl all 1.68-1 [90.2 kB] Get:62 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsub-override-perl all 0.09-2 [9532 B] Get:63 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libfile-stripnondeterminism-perl all 1.9.0-1 [17.2 kB] Get:64 http://ftpmaster.internal/ubuntu hirsute/main ppc64el dh-strip-nondeterminism all 1.9.0-1 [5192 B] Get:65 http://ftpmaster.internal/ubuntu hirsute/main ppc64el dwz ppc64el 0.13-5 [136 kB] Get:66 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcroco3 ppc64el 0.6.13-1 [92.1 kB] Get:67 http://ftpmaster.internal/ubuntu hirsute/main ppc64el gettext ppc64el 0.19.8.1-10build1 [959 kB] Get:68 http://ftpmaster.internal/ubuntu hirsute/main ppc64el intltool-debian all 0.35.0+20060710.5 [24.9 kB] Get:69 http://ftpmaster.internal/ubuntu hirsute/main ppc64el po-debconf all 1.0.21 [233 kB] Get:70 http://ftpmaster.internal/ubuntu hirsute/main ppc64el debhelper all 13.2.1ubuntu1 [879 kB] Get:71 http://ftpmaster.internal/ubuntu hirsute/main ppc64el diffstat ppc64el 1.63-1 [30.0 kB] Get:72 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libaliased-perl all 0.34-1 [13.2 kB] Get:73 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libapt-pkg-perl ppc64el 0.1.36build4 [69.2 kB] Get:74 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libb-hooks-op-check-perl ppc64el 0.22-1build3 [10.5 kB] Get:75 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdynaloader-functions-perl all 0.003-1 [11.9 kB] Get:76 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libdevel-callchecker-perl ppc64el 0.008-1ubuntu2 [14.6 kB] Get:77 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libparams-classify-perl ppc64el 0.015-1build3 [23.2 kB] Get:78 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libmodule-runtime-perl all 0.016-1 [16.2 kB] Get:79 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libtry-tiny-perl all 0.30-1 [20.5 kB] Get:80 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libmodule-implementation-perl all 0.09-1 [12.2 kB] Get:81 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsub-exporter-progressive-perl all 0.001013-1 [6784 B] Get:82 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libvariable-magic-perl ppc64el 0.62-1build3 [34.5 kB] Get:83 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libb-hooks-endofscope-perl all 0.24-1 [16.8 kB] Get:84 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libcapture-tiny-perl all 0.48-1 [20.4 kB] Get:85 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libclass-data-inheritable-perl all 0.08-3 [8084 B] Get:86 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libclass-method-modifiers-perl all 2.13-1 [16.2 kB] Get:87 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libclass-xsaccessor-perl ppc64el 1.19-3build6 [34.8 kB] Get:88 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libclone-perl ppc64el 0.45-1build1 [10.9 kB] Get:89 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libconfig-tiny-perl all 2.24-1 [12.4 kB] Get:90 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libcpanel-json-xs-perl ppc64el 4.25-1build1 [115 kB] Get:91 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdevel-stacktrace-perl all 2.0400-1 [22.7 kB] Get:92 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libexception-class-perl all 1.44-1 [25.9 kB] Get:93 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libiterator-perl all 0.03+ds1-1 [18.7 kB] Get:94 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libiterator-util-perl all 0.02+ds1-1 [14.0 kB] Get:95 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libexporter-tiny-perl all 1.002002-1 [36.2 kB] Get:96 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el liblist-moreutils-perl ppc64el 0.416-1build6 [56.1 kB] Get:97 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libparams-util-perl ppc64el 1.102-1build1 [21.7 kB] Get:98 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsub-install-perl all 0.928-1 [10.5 kB] Get:99 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdata-optlist-perl all 0.110-1 [9956 B] Get:100 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsub-exporter-perl all 0.987-1 [44.9 kB] Get:101 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdata-dpath-perl all 0.58-1 [38.8 kB] Get:102 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libdata-messagepack-perl ppc64el 1.00-4build1 [34.2 kB] Get:103 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libnet-domain-tld-perl all 1.75-1 [29.1 kB] Get:104 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libdata-validate-domain-perl all 0.10-1 [11.0 kB] Get:105 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libemail-address-xs-perl ppc64el 1.04-1build4 [30.0 kB] Get:106 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libipc-system-simple-perl all 1.30-1 [23.2 kB] Get:107 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libfile-basedir-perl all 0.08-1 [16.9 kB] Get:108 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libnumber-compare-perl all 0.03-1 [7318 B] Get:109 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libtext-glob-perl all 0.11-1 [7992 B] Get:110 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libfile-find-rule-perl all 0.34-1 [28.3 kB] Get:111 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libio-string-perl all 1.08-3 [11.1 kB] Get:112 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libfont-ttf-perl all 1.06-1 [313 kB] Get:113 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libhtml-html5-entities-perl all 0.004-1 [21.4 kB] Get:114 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libimport-into-perl all 1.002005-1 [11.0 kB] Get:115 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libjson-maybexs-perl all 1.004003-1 [11.3 kB] Get:116 http://ftpmaster.internal/ubuntu hirsute/main ppc64el liblist-compare-perl all 0.55-1 [63.3 kB] Get:117 http://ftpmaster.internal/ubuntu hirsute/main ppc64el liblist-utilsby-perl all 0.11-1 [14.7 kB] Get:118 http://ftpmaster.internal/ubuntu hirsute/main ppc64el liblzo2-2 ppc64el 2.10-2 [69.4 kB] Get:119 http://ftpmaster.internal/ubuntu hirsute/universe ppc64el libmarkdown2 ppc64el 2.2.6-1ubuntu1 [42.3 kB] Get:120 http://ftpmaster.internal/ubuntu hirsute/main ppc64el librole-tiny-perl all 2.001004-1 [16.5 kB] Get:121 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libstrictures-perl all 2.000006-1 [16.3 kB] Get:122 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libsub-quote-perl all 2.006006-1 [19.5 kB] Get:123 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libmoo-perl all 2.004003-1 [47.0 kB] Get:124 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libmoox-aliases-perl all 0.001006-1 [7176 B] Get:125 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libmouse-perl ppc64el 2.5.10-1build2 [157 kB] Get:126 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libpackage-stash-perl all 0.39-1 [19.1 kB] Get:127 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libsub-identify-perl ppc64el 0.14-1build3 [10.7 kB] Get:128 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libsub-name-perl ppc64el 0.26-1build1 [11.6 kB] Get:129 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libnamespace-clean-perl all 0.27-1 [13.6 kB] Get:130 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libpath-tiny-perl all 0.114-1 [42.6 kB] Get:131 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libperlio-gzip-perl ppc64el 0.19-1build6 [15.3 kB] Get:132 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libproc-processtable-perl ppc64el 0.59-2build1 [35.8 kB] Get:133 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libsereal-decoder-perl ppc64el 4.018+ds-1build1 [114 kB] Get:134 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libsereal-encoder-perl ppc64el 4.018+ds-1build1 [112 kB] Get:135 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtext-levenshteinxs-perl ppc64el 0.03-4build8 [9320 B] Get:136 http://ftpmaster.internal/ubuntu hirsute-proposed/universe ppc64el libtext-markdown-discount-perl ppc64el 0.12-1build1 [12.0 kB] Get:137 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtext-xslate-perl ppc64el 3.5.8-1build2 [184 kB] Get:138 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libtime-duration-perl all 1.21-1 [13.1 kB] Get:139 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libtime-moment-perl ppc64el 0.44-1build4 [75.1 kB] Get:140 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libtimedate-perl all 2.3300-1 [33.9 kB] Get:141 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libtype-tiny-perl all 1.012000-1 [316 kB] Get:142 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libunicode-utf8-perl ppc64el 0.62-1build2 [19.2 kB] Get:143 http://ftpmaster.internal/ubuntu hirsute/main ppc64el liburi-perl all 5.05-1 [77.5 kB] Get:144 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libxml-namespacesupport-perl all 1.12-1 [13.2 kB] Get:145 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libxml-sax-base-perl all 1.09-1 [18.8 kB] Get:146 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libxml-sax-perl all 1.02+dfsg-1 [56.2 kB] Get:147 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libxml-libxml-perl ppc64el 2.0134+dfsg-2build1 [311 kB] Get:148 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libyaml-libyaml-perl ppc64el 0.82+repack-1build1 [29.0 kB] Get:149 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el libdevel-size-perl ppc64el 0.83-1build2 [21.3 kB] Get:150 http://ftpmaster.internal/ubuntu hirsute/main ppc64el libipc-run3-perl all 0.048-2 [31.4 kB] Get:151 http://ftpmaster.internal/ubuntu hirsute/main ppc64el lzip ppc64el 1.21-8 [78.5 kB] Get:152 http://ftpmaster.internal/ubuntu hirsute/main ppc64el lzop ppc64el 1.04-2 [87.8 kB] Get:153 http://ftpmaster.internal/ubuntu hirsute/main ppc64el patchutils ppc64el 0.4.2-1 [80.8 kB] Get:154 http://ftpmaster.internal/ubuntu hirsute/main ppc64el t1utils ppc64el 1.41-4 [62.0 kB] Get:155 http://ftpmaster.internal/ubuntu hirsute/main ppc64el unzip ppc64el 6.0-25ubuntu1 [173 kB] Get:156 http://ftpmaster.internal/ubuntu hirsute-proposed/main ppc64el lintian all 2.103.0 [942 kB] Get:157 http://ftpmaster.internal/ubuntu hirsute/universe ppc64el pkg-kde-tools all 0.15.32ubuntu3 [96.2 kB] debconf: delaying package configuration, since apt-utils is not installed Fetched 38.7 MB in 4s (9556 kB/s) Selecting previously unselected package libpython3.9-minimal:ppc64el. (Reading database ... 14849 files and directories currently installed.) Preparing to unpack .../libpython3.9-minimal_3.9.0-5_ppc64el.deb ... Unpacking libpython3.9-minimal:ppc64el (3.9.0-5) ... Selecting previously unselected package libexpat1:ppc64el. Preparing to unpack .../libexpat1_2.2.10-1_ppc64el.deb ... Unpacking libexpat1:ppc64el (2.2.10-1) ... Selecting previously unselected package python3.9-minimal. Preparing to unpack .../python3.9-minimal_3.9.0-5_ppc64el.deb ... Unpacking python3.9-minimal (3.9.0-5) ... Setting up libpython3.9-minimal:ppc64el (3.9.0-5) ... Setting up libexpat1:ppc64el (2.2.10-1) ... Setting up python3.9-minimal (3.9.0-5) ... Selecting previously unselected package python3-minimal. (Reading database ... 15142 files and directories currently installed.) Preparing to unpack .../0-python3-minimal_3.9.0-3_ppc64el.deb ... Unpacking python3-minimal (3.9.0-3) ... Selecting previously unselected package media-types. 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Selecting previously unselected package python3. (Reading database ... 15556 files and directories currently installed.) Preparing to unpack .../000-python3_3.9.0-3_ppc64el.deb ... Unpacking python3 (3.9.0-3) ... Selecting previously unselected package bsdextrautils. Preparing to unpack .../001-bsdextrautils_2.36.1-1ubuntu1_ppc64el.deb ... Unpacking bsdextrautils (2.36.1-1ubuntu1) ... Selecting previously unselected package libuchardet0:ppc64el. Preparing to unpack .../002-libuchardet0_0.0.7-1_ppc64el.deb ... Unpacking libuchardet0:ppc64el (0.0.7-1) ... Selecting previously unselected package groff-base. Preparing to unpack .../003-groff-base_1.22.4-5_ppc64el.deb ... Unpacking groff-base (1.22.4-5) ... Selecting previously unselected package libpipeline1:ppc64el. Preparing to unpack .../004-libpipeline1_1.5.3-1_ppc64el.deb ... Unpacking libpipeline1:ppc64el (1.5.3-1) ... Selecting previously unselected package man-db. Preparing to unpack .../005-man-db_2.9.3-2_ppc64el.deb ... 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Setting up libpsl5:ppc64el (0.21.0-1.1ubuntu1) ... Setting up libunicode-utf8-perl (0.62-1build2) ... Setting up libmouse-perl (2.5.10-1build2) ... Setting up bsdextrautils (2.36.1-1ubuntu1) ... update-alternatives: using /usr/bin/write.ul to provide /usr/bin/write (write) in auto mode Setting up libdata-messagepack-perl (1.00-4build1) ... Setting up libicu67:ppc64el (67.1-4) ... Setting up libdynaloader-functions-perl (0.003-1) ... Setting up libtext-glob-perl (0.11-1) ... Setting up libclass-method-modifiers-perl (2.13-1) ... Setting up liblist-compare-perl (0.55-1) ... Setting up libmagic-mgc (1:5.39-3) ... Setting up libclone-perl (0.45-1build1) ... Setting up libarchive-zip-perl (1.68-1) ... Setting up libyaml-0-2:ppc64el (0.2.2-1) ... Setting up libsub-identify-perl (0.14-1build3) ... Setting up libglib2.0-0:ppc64el (2.66.3-1) ... No schema files found: doing nothing. Setting up libcpanel-json-xs-perl (4.25-1build1) ... Setting up libdevel-size-perl (0.83-1build2) ... Setting up unzip (6.0-25ubuntu1) ... Setting up libdebhelper-perl (13.2.1ubuntu1) ... Setting up libbrotli1:ppc64el (1.0.9-2build1) ... Setting up libyaml-libyaml-perl (0.82+repack-1build1) ... Setting up libtry-tiny-perl (0.30-1) ... Setting up libnghttp2-14:ppc64el (1.41.0-3) ... Setting up libmagic1:ppc64el (1:5.39-3) ... Setting up libxml-namespacesupport-perl (1.12-1) ... Setting up gettext-base (0.19.8.1-10build1) ... Setting up liblzo2-2:ppc64el (2.10-2) ... Setting up libtime-moment-perl (0.44-1build4) ... Setting up file (1:5.39-3) ... Setting up libconfig-tiny-perl (2.24-1) ... Setting up libsereal-encoder-perl (4.018+ds-1build1) ... Setting up liblist-utilsby-perl (0.11-1) ... Setting up libsub-install-perl (0.928-1) ... Setting up libnumber-compare-perl (0.03-1) ... Setting up libsasl2-modules-db:ppc64el (2.1.27+dfsg-2ubuntu1) ... Setting up patchutils (0.4.2-1) ... Setting up libjson-maybexs-perl (1.004003-1) ... Setting up libxml-sax-base-perl (1.09-1) ... Setting up libio-string-perl (1.08-3) ... Setting up autotools-dev (20180224.1) ... Setting up libclass-data-inheritable-perl (0.08-3) ... Setting up libuv1:ppc64el (1.40.0-1) ... Setting up libfile-find-rule-perl (0.34-1) ... Setting up librtmp1:ppc64el (2.4+20151223.gitfa8646d.1-2build2) ... Setting up libipc-system-simple-perl (1.30-1) ... Setting up libnet-domain-tld-perl (1.75-1) ... Setting up lzip (1.21-8) ... Setting up libsigsegv2:ppc64el (2.12-2build1) ... Setting up t1utils (1.41-4) ... Setting up diffstat (1.63-1) ... Setting up libvariable-magic-perl (0.62-1build3) ... Setting up autopoint (0.19.8.1-10build1) ... Setting up libb-hooks-op-check-perl (0.22-1build3) ... Setting up ucf (3.0043) ... Setting up libparams-util-perl (1.102-1build1) ... Setting up libsasl2-2:ppc64el (2.1.27+dfsg-2ubuntu1) ... Setting up libssh-4:ppc64el (0.9.5-1) ... Setting up libroken18-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libtime-duration-perl (1.21-1) ... Setting up libtext-xslate-perl (3.5.8-1build2) ... Setting up libsub-exporter-progressive-perl (0.001013-1) ... Setting up libcapture-tiny-perl (0.48-1) ... Setting up libtimedate-perl (2.3300-1) ... Setting up libsub-name-perl (0.26-1build1) ... Setting up libdata-validate-domain-perl (0.10-1) ... Setting up libproc-processtable-perl (0.59-2build1) ... Setting up librhash0:ppc64el (1.4.0-1) ... Setting up libpath-tiny-perl (0.114-1) ... Setting up libuchardet0:ppc64el (0.0.7-1) ... Setting up lzop (1.04-2) ... Setting up librole-tiny-perl (2.001004-1) ... Setting up libipc-run3-perl (0.048-2) ... Setting up libsub-override-perl (0.09-2) ... Setting up libaliased-perl (0.34-1) ... Setting up libstrictures-perl (2.000006-1) ... Setting up libsub-quote-perl (2.006006-1) ... Setting up libdevel-stacktrace-perl (2.0400-1) ... Setting up libclass-xsaccessor-perl (1.19-3build6) ... Setting up cmake-data (3.18.4-1ubuntu1) ... Setting up libexporter-tiny-perl (1.002002-1) ... Setting up libfont-ttf-perl (1.06-1) ... Setting up libtext-levenshteinxs-perl (0.03-4build8) ... Setting up libperlio-gzip-perl (0.19-1build6) ... Setting up mailcap (3.67ubuntu1) ... Setting up libelf1:ppc64el (0.182-1) ... Setting up libxml2:ppc64el (2.9.10+dfsg-6.2) ... Setting up libhtml-html5-entities-perl (0.004-1) ... Setting up libsereal-decoder-perl (4.018+ds-1build1) ... Setting up libmarkdown2:ppc64el (2.2.6-1ubuntu1) ... Setting up liburi-perl (5.05-1) ... Setting up libjsoncpp1:ppc64el (1.7.4-3.1ubuntu2) ... Setting up libheimbase1-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libemail-address-xs-perl (1.04-1build4) ... Setting up libfile-stripnondeterminism-perl (1.9.0-1) ... Setting up libfile-basedir-perl (0.08-1) ... Setting up mime-support (3.66) ... Setting up libtool (2.4.6-14) ... Setting up libarchive13:ppc64el (3.4.3-2) ... Setting up liblist-moreutils-perl (0.416-1build6) ... Setting up libasn1-8-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libtype-tiny-perl (1.012000-1) ... Setting up libtext-markdown-discount-perl:ppc64el (0.12-1build1) ... Setting up m4 (1.4.18-4) ... Setting up libexception-class-perl (1.44-1) ... Setting up libdevel-callchecker-perl (0.008-1ubuntu2) ... 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 libhcrypto4-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libwind0-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libdata-optlist-perl (0.110-1) ... Setting up libcroco3:ppc64el (0.6.13-1) ... Setting up autoconf (2.69-11.1) ... Setting up libxml-libxml-perl (2.0134+dfsg-2build1) ... 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 dh-strip-nondeterminism (1.9.0-1) ... Setting up dwz (0.13-5) ... Setting up groff-base (1.22.4-5) ... Setting up libpython3.9-stdlib:ppc64el (3.9.0-5) ... Setting up libsub-exporter-perl (0.987-1) ... Setting up libpython3-stdlib:ppc64el (3.9.0-3) ... Setting up automake (1:1.16.2-4ubuntu1) ... update-alternatives: using /usr/bin/automake-1.16 to provide /usr/bin/automake (automake) in auto mode Setting up libiterator-perl (0.03+ds1-1) ... Setting up gettext (0.19.8.1-10build1) ... Setting up libiterator-util-perl (0.02+ds1-1) ... Setting up libhx509-5-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libparams-classify-perl (0.015-1build3) ... Setting up man-db (2.9.3-2) ... Not building database; man-db/auto-update is not 'true'. Created symlink /etc/systemd/system/timers.target.wants/man-db.timer → /lib/systemd/system/man-db.timer. Setting up intltool-debian (0.35.0+20060710.5) ... Setting up libmodule-runtime-perl (0.016-1) ... Setting up libdata-dpath-perl (0.58-1) ... Setting up python3.9 (3.9.0-5) ... Setting up libkrb5-26-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libmodule-implementation-perl (0.09-1) ... Setting up libpackage-stash-perl (0.39-1) ... Setting up libimport-into-perl (1.002005-1) ... Setting up libmoo-perl (2.004003-1) ... Setting up po-debconf (1.0.21) ... Setting up python3 (3.9.0-3) ... Setting up libheimntlm0-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libgssapi3-heimdal:ppc64el (7.7.0+dfsg-2) ... Setting up libmoox-aliases-perl (0.001006-1) ... Setting up libb-hooks-endofscope-perl (0.24-1) ... Setting up libldap-2.4-2:ppc64el (2.4.53+dfsg-1ubuntu5) ... Setting up libnamespace-clean-perl (0.27-1) ... Setting up libcurl4:ppc64el (7.72.0-1ubuntu1) ... Setting up lintian (2.103.0) ... Setting up pkg-kde-tools (0.15.32ubuntu3) ... Setting up cmake (3.18.4-1ubuntu1) ... Setting up debhelper (13.2.1ubuntu1) ... Setting up dh-autoreconf (19) ... Setting up sbuild-build-depends-qhull-dummy (0.invalid.0) ... Processing triggers for libc-bin (2.32-0ubuntu5) ... +------------------------------------------------------------------------------+ | Build environment | +------------------------------------------------------------------------------+ Kernel: Linux 4.15.0-124-generic ppc64el (ppc64le) Toolchain package versions: binutils_2.35.1-3ubuntu1 dpkg-dev_1.20.5ubuntu3 g++-10_10.2.0-18ubuntu1 gcc-10_10.2.0-18ubuntu1 libc6-dev_2.32-0ubuntu5 libstdc++-10-dev_10.2.0-18ubuntu1 libstdc++6_10.2.0-18ubuntu1 linux-libc-dev_5.8.0-30.32+21.04.2 Package versions: adduser_3.118ubuntu2 advancecomp_2.1-2.1build1 apt_2.1.12 autoconf_2.69-11.1 automake_1:1.16.2-4ubuntu1 autopoint_0.19.8.1-10build1 autotools-dev_20180224.1 base-files_11ubuntu16 base-passwd_3.5.48 bash_5.1~rc2-1ubuntu1 binutils_2.35.1-3ubuntu1 binutils-common_2.35.1-3ubuntu1 binutils-powerpc64le-linux-gnu_2.35.1-3ubuntu1 bsdextrautils_2.36.1-1ubuntu1 bsdutils_1:2.36.1-1ubuntu1 build-essential_12.8ubuntu3 bzip2_1.0.8-4ubuntu2 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libssl1.1_1.1.1f-1ubuntu4 libstdc++-10-dev_10.2.0-18ubuntu1 libstdc++6_10.2.0-18ubuntu1 libstrictures-perl_2.000006-1 libsub-exporter-perl_0.987-1 libsub-exporter-progressive-perl_0.001013-1 libsub-identify-perl_0.14-1build3 libsub-install-perl_0.928-1 libsub-name-perl_0.26-1build1 libsub-override-perl_0.09-2 libsub-quote-perl_2.006006-1 libsystemd0_246.6-2ubuntu1 libtasn1-6_4.16.0-2 libtext-glob-perl_0.11-1 libtext-levenshteinxs-perl_0.03-4build8 libtext-markdown-discount-perl_0.12-1build1 libtext-xslate-perl_3.5.8-1build2 libtime-duration-perl_1.21-1 libtime-moment-perl_0.44-1build4 libtimedate-perl_2.3300-1 libtinfo6_6.2+20201114-1 libtirpc-common_1.2.6-3 libtirpc-dev_1.2.6-3 libtirpc3_1.2.6-3 libtool_2.4.6-14 libtry-tiny-perl_0.30-1 libtsan0_10.2.0-18ubuntu1 libtype-tiny-perl_1.012000-1 libubsan1_10.2.0-18ubuntu1 libuchardet0_0.0.7-1 libudev1_246.6-2ubuntu1 libunicode-utf8-perl_0.62-1build2 libunistring2_0.9.10-4 liburi-perl_5.05-1 libuuid1_2.36.1-1ubuntu1 libuv1_1.40.0-1 libvariable-magic-perl_0.62-1build3 libwind0-heimdal_7.7.0+dfsg-2 libxml-libxml-perl_2.0134+dfsg-2build1 libxml-namespacesupport-perl_1.12-1 libxml-sax-base-perl_1.09-1 libxml-sax-perl_1.02+dfsg-1 libxml2_2.9.10+dfsg-6.2 libyaml-0-2_0.2.2-1 libyaml-libyaml-perl_0.82+repack-1build1 libzstd1_1.4.5+dfsg-4 lintian_2.103.0 linux-libc-dev_5.8.0-30.32+21.04.2 lockfile-progs_0.1.18 login_1:4.8.1-1ubuntu6 logsave_1.45.6-1ubuntu1 lsb-base_11.1.0ubuntu2 lzip_1.21-8 lzop_1.04-2 m4_1.4.18-4 mailcap_3.67ubuntu1 make_4.3-4ubuntu1 man-db_2.9.3-2 mawk_1.3.4.20200120-2 media-types_1.0.1ubuntu1 mime-support_3.66 mount_2.36.1-1ubuntu1 ncurses-base_6.2+20201114-1 ncurses-bin_6.2+20201114-1 openssl_1.1.1f-1ubuntu4 optipng_0.7.7-1 passwd_1:4.8.1-1ubuntu6 patch_2.7.6-6 patchutils_0.4.2-1 perl_5.32.0-5 perl-base_5.32.0-5 perl-modules-5.30_5.30.3-4 perl-modules-5.32_5.32.0-5 pinentry-curses_1.1.0-4build1 pkg-kde-tools_0.15.32ubuntu3 pkgbinarymangler_146 po-debconf_1.0.21 policyrcd-script-zg2_0.1-3 procps_2:3.3.16-5ubuntu2 python3_3.9.0-3 python3-minimal_3.9.0-3 python3.9_3.9.0-5 python3.9-minimal_3.9.0-5 readline-common_8.1~rc3-1 rpcsvc-proto_1.4.2-0ubuntu4 sbuild-build-depends-core-dummy_0.invalid.0 sbuild-build-depends-qhull-dummy_0.invalid.0 sed_4.7-1ubuntu1 sensible-utils_0.0.13 systemd_246.6-2ubuntu1 systemd-sysv_246.6-2ubuntu1 systemd-timesyncd_246.6-2ubuntu1 sysvinit-utils_2.96-5ubuntu1 t1utils_1.41-4 tar_1.30+dfsg-7 tzdata_2020d-1ubuntu1 ubuntu-keyring_2020.06.17.1 ucf_3.0043 unzip_6.0-25ubuntu1 util-linux_2.36.1-1ubuntu1 xz-utils_5.2.4-1ubuntu1 zlib1g_1:1.2.11.dfsg-2ubuntu4 +------------------------------------------------------------------------------+ | Build | +------------------------------------------------------------------------------+ Unpack source ------------- gpgv: Signature made Thu Nov 12 19:38:47 2020 UTC gpgv: using RSA key FA765ACFE244EC39F601E7C299EB1EA4D2337B88 gpgv: issuer "bap@debian.org" gpgv: Can't check signature: No public key dpkg-source: warning: failed to verify signature on ./qhull_2020.2-2.dsc dpkg-source: info: extracting qhull in /<> dpkg-source: info: unpacking qhull_2020.2.orig.tar.gz dpkg-source: info: unpacking qhull_2020.2-2.debian.tar.xz dpkg-source: info: using patch list from debian/patches/series dpkg-source: info: applying 0001-debianize-test-failure-msg.patch dpkg-source: info: applying 0002-Fix-privacy-breach.patch dpkg-source: info: applying 0003-Use-local-version-of-function-index.patch dpkg-source: info: applying 0004-Build-qhullcpp-as-shared-library.patch dpkg-source: info: applying 0005-Fix-CMake-target-export.patch dpkg-source: info: applying 0006-Build-deprecated-libqhull-for-now.patch Check disk space ---------------- Sufficient free space for build User Environment ---------------- APT_CONFIG=/var/lib/sbuild/apt.conf DEB_BUILD_OPTIONS=parallel=4 HOME=/sbuild-nonexistent LANG=C.UTF-8 LC_ALL=C.UTF-8 LOGNAME=buildd PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games SCHROOT_ALIAS_NAME=build-PACKAGEBUILD-20290174 SCHROOT_CHROOT_NAME=build-PACKAGEBUILD-20290174 SCHROOT_COMMAND=env SCHROOT_GID=2501 SCHROOT_GROUP=buildd SCHROOT_SESSION_ID=build-PACKAGEBUILD-20290174 SCHROOT_UID=2001 SCHROOT_USER=buildd SHELL=/bin/sh TERM=unknown USER=buildd V=1 dpkg-buildpackage ----------------- dpkg-buildpackage: info: source package qhull dpkg-buildpackage: info: source version 2020.2-2 dpkg-buildpackage: info: source distribution unstable dpkg-source --before-build . dpkg-buildpackage: info: host architecture ppc64el debian/rules clean dh clean --buildsystem=cmake --with pkgkde_symbolshelper dh_auto_clean -O--buildsystem=cmake dh_autoreconf_clean -O--buildsystem=cmake dh_clean -O--buildsystem=cmake debian/rules binary-arch dh binary-arch --buildsystem=cmake --with pkgkde_symbolshelper dh_update_autotools_config -a -O--buildsystem=cmake dh_autoreconf -a -O--buildsystem=cmake debian/rules override_dh_auto_configure make[1]: Entering directory '/<>' dh_auto_configure \ --buildsystem=cmake \ --builddir=/<>/obj-powerpc64le-linux-gnu \ -- \ -DCMAKE_SKIP_RPATH=ON \ -DINCLUDE_INSTALL_DIR=include \ -DLINK_APPS_SHARED=ON \ -DLIB_INSTALL_DIR=lib/powerpc64le-linux-gnu \ -DBIN_INSTALL_DIR=bin \ -DMAN_INSTALL_DIR=share/man/man1 \ -DDOC_INSTALL_DIR=share/doc/libqhull-dev/qhull cd obj-powerpc64le-linux-gnu && cmake -DCMAKE_INSTALL_PREFIX=/usr -DCMAKE_BUILD_TYPE=None -DCMAKE_INSTALL_SYSCONFDIR=/etc -DCMAKE_INSTALL_LOCALSTATEDIR=/var -DCMAKE_EXPORT_NO_PACKAGE_REGISTRY=ON -DCMAKE_FIND_PACKAGE_NO_PACKAGE_REGISTRY=ON -DCMAKE_INSTALL_RUNSTATEDIR=/run -DCMAKE_SKIP_INSTALL_ALL_DEPENDENCY=ON "-GUnix Makefiles" -DCMAKE_VERBOSE_MAKEFILE=ON -DCMAKE_INSTALL_LIBDIR=lib/powerpc64le-linux-gnu -DCMAKE_SKIP_RPATH=ON -DINCLUDE_INSTALL_DIR=include -DLINK_APPS_SHARED=ON -DLIB_INSTALL_DIR=lib/powerpc64le-linux-gnu -DBIN_INSTALL_DIR=bin -DMAN_INSTALL_DIR=share/man/man1 -DDOC_INSTALL_DIR=share/doc/libqhull-dev/qhull .. -- The C compiler identification is GNU 10.2.0 -- The CXX compiler identification is GNU 10.2.0 -- Detecting C compiler ABI info -- Detecting C compiler ABI info - done -- Check for working C compiler: /usr/bin/cc - skipped -- Detecting C compile features -- Detecting C compile features - done -- Detecting CXX compiler ABI info -- Detecting CXX compiler ABI info - done -- Check for working CXX compiler: /usr/bin/c++ - skipped -- Detecting CXX compile features -- Detecting CXX compile features - done -- Looking for sys/types.h -- Looking for sys/types.h - found -- Looking for inttypes.h -- Looking for inttypes.h - found -- Looking for stddef.h -- Looking for stddef.h - found -- Looking for stdint.h -- Looking for stdint.h - found -- Check size of off_t -- Check size of off_t - done -- Looking for fseeko -- Looking for fseeko - found -- Looking for ftello -- Looking for ftello - found -- Looking for PRIdMAX -- Looking for PRIdMAX - found -- -- ========== qhull Build Information ========== -- Build Version: 8.0.2 -- Install Prefix (CMAKE_INSTALL_PREFIX): /usr -- Binary Directory (BIN_INSTALL_DIR): bin -- Library Directory (LIB_INSTALL_DIR): lib/powerpc64le-linux-gnu -- Include Directory (INCLUDE_INSTALL_DIR): include -- Documentation Directory (DOC_INSTALL_DIR): share/doc/libqhull-dev/qhull -- Man Pages Directory (MAN_INSTALL_DIR): share/man/man1 -- Build Type (CMAKE_BUILD_TYPE): None -- Build static libraries: ON -- Build shared library: ON -- Use shared library for linking apps: ON -- To override these options, add -D{OPTION_NAME}=... to the cmake command -- Build the debug targets -DCMAKE_BUILD_TYPE=Debug -- -- To build and install qhull, enter "make" and "make install" -- To smoketest qhull, enter "ctest" -- -- Configuring done -- Generating done CMake Warning: Manually-specified variables were not used by the project: CMAKE_EXPORT_NO_PACKAGE_REGISTRY CMAKE_FIND_PACKAGE_NO_PACKAGE_REGISTRY CMAKE_INSTALL_LIBDIR CMAKE_INSTALL_LOCALSTATEDIR CMAKE_INSTALL_RUNSTATEDIR CMAKE_INSTALL_SYSCONFDIR -- Build files have been written to: /<>/obj-powerpc64le-linux-gnu make[1]: Leaving directory '/<>' dh_auto_build -a -O--buildsystem=cmake cd obj-powerpc64le-linux-gnu && make -j4 "INSTALL=install --strip-program=true" make[1]: Entering directory '/<>/obj-powerpc64le-linux-gnu' /usr/bin/cmake -S/<> -B/<>/obj-powerpc64le-linux-gnu --check-build-system CMakeFiles/Makefile.cmake 0 /usr/bin/cmake -E cmake_progress_start /<>/obj-powerpc64le-linux-gnu/CMakeFiles /<>/obj-powerpc64le-linux-gnu//CMakeFiles/progress.marks make -f CMakeFiles/Makefile2 all make[2]: Entering directory '/<>/obj-powerpc64le-linux-gnu' 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 -f CMakeFiles/testqset.dir/build.make CMakeFiles/testqset.dir/depend make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' cd /<>/obj-powerpc64le-linux-gnu && /usr/bin/cmake -E 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/<>/obj-powerpc64le-linux-gnu/CMakeFiles/qhull_r.dir/DependInfo.cmake --color= Scanning dependencies of target testqset_r make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make -f CMakeFiles/testqset_r.dir/build.make CMakeFiles/testqset_r.dir/build make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' Scanning dependencies of target testqset make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make -f CMakeFiles/testqset.dir/build.make CMakeFiles/testqset.dir/build make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' Scanning dependencies of target qhullstatic_r make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make -f CMakeFiles/qhullstatic_r.dir/build.make CMakeFiles/qhullstatic_r.dir/build make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' [ 1%] Building C object CMakeFiles/testqset_r.dir/src/libqhull_r/qset_r.c.o Scanning dependencies of target qhull_r /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset_r.dir/src/libqhull_r/qset_r.c.o -c /<>/src/libqhull_r/qset_r.c make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make -f CMakeFiles/qhull_r.dir/build.make CMakeFiles/qhull_r.dir/build make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' [ 2%] Building C object CMakeFiles/testqset.dir/src/libqhull/qset.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/libqhull/qset.c.o -c /<>/src/libqhull/qset.c [ 2%] Building C object CMakeFiles/qhullstatic_r.dir/src/libqhull_r/global_r.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullstatic_r.dir/src/libqhull_r/global_r.c.o -c /<>/src/libqhull_r/global_r.c [ 3%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/global_r.c.o /usr/bin/cc -Dqhull_r_EXPORTS -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/global_r.c.o -c /<>/src/libqhull_r/global_r.c /<>/src/libqhull_r/global_r.c: In function ‘qh_clear_outputflags’: /<>/src/libqhull_r/global_r.c:166:6: note: the layout of aggregates containing vectors with 8-byte alignment has changed in GCC 5 166 | void qh_clear_outputflags(qhT *qh) { | ^~~~~~~~~~~~~~~~~~~~ /<>/src/libqhull_r/global_r.c: In function ‘qh_clear_outputflags’: /<>/src/libqhull_r/global_r.c:166:6: note: the layout of aggregates containing vectors with 8-byte alignment has changed in GCC 5 166 | void qh_clear_outputflags(qhT *qh) { | ^~~~~~~~~~~~~~~~~~~~ [ 3%] Building C object CMakeFiles/testqset.dir/src/libqhull/mem.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat 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CMakeFiles/testqset_r.dir/src/libqhull_r/usermem_r.c.o -c /<>/src/libqhull_r/usermem_r.c [ 5%] Building C object CMakeFiles/testqset.dir/src/testqset/testqset.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset.dir/src/testqset/testqset.c.o -c /<>/src/testqset/testqset.c [ 5%] Building C object CMakeFiles/testqset_r.dir/src/testqset_r/testqset_r.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/testqset_r.dir/src/testqset_r/testqset_r.c.o -c /<>/src/testqset_r/testqset_r.c [ 5%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/stat_r.c.o /usr/bin/cc -Dqhull_r_EXPORTS -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/stat_r.c.o -c /<>/src/libqhull_r/stat_r.c [ 7%] Building C object CMakeFiles/qhullstatic_r.dir/src/libqhull_r/stat_r.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullstatic_r.dir/src/libqhull_r/stat_r.c.o -c /<>/src/libqhull_r/stat_r.c [ 8%] Linking C executable testqset /usr/bin/cmake -E cmake_link_script CMakeFiles/testqset.dir/link.txt --verbose=1 /usr/bin/cc -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-Bsymbolic-functions -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/testqset.dir/src/libqhull/qset.c.o CMakeFiles/testqset.dir/src/libqhull/mem.c.o CMakeFiles/testqset.dir/src/libqhull/usermem.c.o CMakeFiles/testqset.dir/src/testqset/testqset.c.o -o testqset make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' [ 8%] Built target testqset make -f CMakeFiles/libqhull.dir/build.make 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/usr/bin/cc -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-Bsymbolic-functions -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/testqset_r.dir/src/libqhull_r/qset_r.c.o CMakeFiles/testqset_r.dir/src/libqhull_r/mem_r.c.o CMakeFiles/testqset_r.dir/src/libqhull_r/usermem_r.c.o CMakeFiles/testqset_r.dir/src/testqset_r/testqset_r.c.o -o testqset_r make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' [ 9%] Built target testqset_r make -f CMakeFiles/qhullstatic.dir/build.make CMakeFiles/qhullstatic.dir/depend make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' cd /<>/obj-powerpc64le-linux-gnu && /usr/bin/cmake -E cmake_depends "Unix Makefiles" /<> /<> /<>/obj-powerpc64le-linux-gnu /<>/obj-powerpc64le-linux-gnu /<>/obj-powerpc64le-linux-gnu/CMakeFiles/qhullstatic.dir/DependInfo.cmake --color= Scanning dependencies of target qhullstatic make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make -f CMakeFiles/qhullstatic.dir/build.make CMakeFiles/qhullstatic.dir/build make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' [ 9%] Building C object CMakeFiles/qhullstatic.dir/src/libqhull/global.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/qhullstatic.dir/src/libqhull/global.c.o -c /<>/src/libqhull/global.c [ 10%] Building C object CMakeFiles/qhull_r.dir/src/libqhull_r/geom2_r.c.o /usr/bin/cc -Dqhull_r_EXPORTS -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -fPIC -o CMakeFiles/qhull_r.dir/src/libqhull_r/geom2_r.c.o -c /<>/src/libqhull_r/geom2_r.c [ 10%] Building C object CMakeFiles/qhullstatic_r.dir/src/libqhull_r/geom2_r.c.o /usr/bin/cc -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o 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CMakeFiles/qhullcpp_static.dir/cmake_clean_target.cmake /usr/bin/cmake -E cmake_link_script CMakeFiles/qhullcpp_static.dir/link.txt --verbose=1 /usr/bin/ar qc libqhullcpp.a CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Coordinates.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/PointCoordinates.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/Qhull.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetList.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullFacetSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullHyperplane.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoint.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPointSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullPoints.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullQh.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullRidge.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullStat.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullUser.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertex.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/QhullVertexSet.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RboxPoints.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadError.cpp.o CMakeFiles/qhullcpp_static.dir/src/libqhullcpp/RoadLogEvent.cpp.o /usr/bin/ranlib libqhullcpp.a make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' [ 98%] Built target qhullcpp_static make -f CMakeFiles/user_eg3.dir/build.make CMakeFiles/user_eg3.dir/depend make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' cd /<>/obj-powerpc64le-linux-gnu && /usr/bin/cmake -E cmake_depends "Unix Makefiles" /<> /<> /<>/obj-powerpc64le-linux-gnu /<>/obj-powerpc64le-linux-gnu /<>/obj-powerpc64le-linux-gnu/CMakeFiles/user_eg3.dir/DependInfo.cmake --color= Scanning dependencies of target user_eg3 make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make -f CMakeFiles/user_eg3.dir/build.make CMakeFiles/user_eg3.dir/build make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' [100%] Building CXX object CMakeFiles/user_eg3.dir/src/user_eg3/user_eg3_r.cpp.o /usr/bin/c++ -I/<>/src -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -o CMakeFiles/user_eg3.dir/src/user_eg3/user_eg3_r.cpp.o -c /<>/src/user_eg3/user_eg3_r.cpp [100%] Linking CXX executable user_eg3 /usr/bin/cmake -E cmake_link_script CMakeFiles/user_eg3.dir/link.txt --verbose=1 /usr/bin/c++ -g -O3 -ffile-prefix-map=/<>=. -fstack-protector-strong -Wformat -Werror=format-security -Wdate-time -D_FORTIFY_SOURCE=2 -Wl,-Bsymbolic-functions -Wl,-z,relro -Wl,-z,now -rdynamic CMakeFiles/user_eg3.dir/src/user_eg3/user_eg3_r.cpp.o -o user_eg3 libqhullcpp.a libqhullstatic_r.a -lm make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' [100%] Built target user_eg3 make[2]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' /usr/bin/cmake -E cmake_progress_start /<>/obj-powerpc64le-linux-gnu/CMakeFiles 0 make[1]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' debian/rules execute_after_dh_auto_build make[1]: Entering directory '/<>' Building man pages cd debian && \ for info in \ "qconvex:compute the convex hull:qconvex" \ "qdelaunay:compute the Delaunay triangulation:qdelaun" \ "qhalf:halfspace intersection about a point:qhalf" \ "qvoronoi:compute the Voronoi diagram:qvoronoi"; \ do \ comm=$(echo $info | cut -d: -f1) && \ purp=$(echo $info | cut -d: -f2) && \ doc=$(echo $info | cut -d: -f3) && \ COMM=$(echo $comm | tr [:lower:] [:upper:]) && \ echo -n Building man page for $comm... && \ sed -e "s/#command#/$comm/g" -e "s/#purpose#/$purp/g" \ -e "s/#COMMAND#/$COMM/g" -e "s/#doc#/$doc/g" \ manpage.in > $comm.1 && \ echo " done"; \ done Building man page for qconvex... done Building man page for qdelaunay... done Building man page for qhalf... done Building man page for qvoronoi... done make[1]: Leaving directory '/<>' debian/rules override_dh_auto_test make[1]: Entering directory '/<>' env LD_LIBRARY_PATH=/<>/obj-powerpc64le-linux-gnu \ PATH=/<>/obj-powerpc64le-linux-gnu:$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): 0.000129 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: 25 Number of facets in hull: 17 Number of distance tests for qhull: 28 CPU seconds to compute hull (after input): 5e-05 Output completed. Verifying that all points are below 1.5e-14 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: 11 Statistics for: | qhull s d Tcv Number of points processed: 8 Number of hyperplanes created: 25 Number of facets in hull: 17 Number of distance tests for qhull: 29 CPU seconds to compute hull (after input): 4.5e-05 Output completed. Verifying that all points are below 9.4e-15 of all facets. Will make 88 distance computations. Halfspace intersection by the convex hull of 8 points in 3-d: Number of halfspaces: 8 Number of non-redundant halfspaces: 8 Number of intersection points: 6 Number of non-simplicial intersection points: 6 Statistics for: | qhull H0 s Tcv Fp Number of points processed: 8 Number of hyperplanes created: 11 Number of distance tests for qhull: 34 Number of distance tests for merging: 96 Number of distance tests for checking: 100 Number of merged facets: 6 CPU seconds to compute hull (after input): 6.4e-05 Output completed. Verifying that all points are below outer planes of all facets. Will make 48 distance computations. ============================== ========= eg/q_test ========== == Check qhull programs ====== ============================== qhull => qhull_r 8.0.2 (2020.2.r 2020/08/31) qconvex => qhull_r 8.0.2 (2020.2.r 2020/08/31) qvoronoi => qhull_r 8.0.2 (2020.2.r 2020/08/31) qdelaunay => qhull_r 8.0.2 (2020.2.r 2020/08/31) qhalf => qhull_r 8.0.2 (2020.2.r 2020/08/31) -rwxr-xr-x 1 buildd buildd 102536 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/qconvex -rwxr-xr-x 1 buildd buildd 102160 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/qdelaunay -rwxr-xr-x 1 buildd buildd 102608 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/qhalf -rwxr-xr-x 1 buildd buildd 106000 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/qhull -rwxr-xr-x 1 buildd buildd 101584 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/qvoronoi -rwxr-xr-x 1 buildd buildd 102536 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/user_eg -rwxr-xr-x 1 buildd buildd 1908512 Nov 24 06:54 /<>/obj-powerpc64le-linux-gnu/user_eg2 -rwxr-xr-x 1 buildd buildd 5652176 Nov 24 06:55 /<>/obj-powerpc64le-linux-gnu/user_eg3 ============================== == check user_eg, user_eg2, and user_eg3 == errors if user_eg and user_eg2 not found ============================== user_eg ======== user_eg 'cube qhull options' 'Delaunay options' 'halfspace options' This is the output from user_eg_r.c. It shows how qhull() may be called from an application, via Qhull's shared, reentrant library. user_eg is not part of Qhull itself. If user_eg fails immediately, user_eg_r.c was incorrectly linked to Qhull's non-reentrant library, libqhull. Try -- user_eg 'T1' 'T1' 'T1' ======== compute convex hull of cube after rotating input input -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 1 -1 1 1 1 1 1 Convex hull of 8 points in 3-d: Number of vertices: 8 Number of facets: 6 Number of non-simplicial facets: 6 Statistics for: | qhull s Tcv Number of points processed: 8 Number of hyperplanes created: 11 Number of distance tests for qhull: 34 Number of distance tests for merging: 96 Number of distance tests for checking: 100 Number of merged facets: 6 CPU seconds to compute hull (after input): 0.000245 Output completed. Verifying that all points are below outer planes of all facets. Will make 48 distance computations. 8 vertices and 6 facets with normals: -0 -0 -1 0 -1 0 1 -0 -0 -1 -0 -0 0 1 -0 -0 -0 1 ======== compute 3-d Delaunay triangulation seed: 1606200902 input 0.443 0.925 -0.869 0.196 -0.425 0.163 0.996 0.14 0.56 0.106 0.566 -0.342 -0.0872 -0.773 -0.138 -0.351 -0.837 0.272 -0.833 -0.612 0.493 -0.875 -0.973 -0.829 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: 25 Number of facets in hull: 17 Number of distance tests for qhull: 28 CPU seconds to compute hull (after input): 9.3e-05 Output completed. Verifying that all points are below 1.5e-14 of all facets. Will make 88 distance computations. 8 vertices and 17 facets with normals: 0.79 -0.1 -0.48 -0.36 -0.18 0.37 0.52 0.75 -0.82 0.56 -0.12 0.0042 -0.33 0.74 0.57 0.11 -0.21 0.45 0.78 -0.37 0.7 -0.48 -0.52 0.057 0.75 -0.34 -0.54 -0.18 0.11 -0.2 -0.92 -0.33 0.57 -0.24 -0.71 -0.35 -0.78 -0.01 -0.38 -0.5 -0.73 -0.0033 -0.14 -0.66 0.077 -0.27 0.93 -0.26 0.54 -0.79 0.29 -0.093 -0.69 -0.19 -0.011 -0.7 0.27 -0.7 0.52 0.41 0.52 -0.83 0.093 0.18 -0.72 -0.47 -0.23 -0.46 find 3-d Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...] -0.83 -0.61 0.49 0.11 0.57 -0.34 0.20 -0.43 0.16 1.00 0.14 0.56 ======== Compute a new triangulation as a separate instance of Qhull seed: 1606200903 input 0.443 -0.812 0.643 -0.887 0.64 0.601 -0.91 -0.503 -0.0812 -0.0243 -0.667 0.697 -0.425 -0.704 -0.0313 0.708 0.506 0.288 -0.0663 -0.478 -0.672 0.498 0.205 -0.968 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: 25 Number of facets in hull: 17 Number of distance tests for qhull: 29 CPU seconds to compute hull (after input): 8.7e-05 Output completed. Verifying that all points are below 9.4e-15 of all facets. Will make 88 distance computations. 8 vertices and 17 facets with normals: -0.082 -0.27 -0.2 0.94 0.43 0.23 0.14 0.86 0.00064 -0.67 -0.44 0.6 0.79 -0.36 -0.19 -0.47 -0.57 0.49 -0.57 -0.33 -0.3 0.63 -0.3 -0.65 0.48 -0.34 0.083 -0.8 -0.46 -0.51 0.52 0.51 0.19 0.21 0.96 -0.024 0.38 -0.27 0.11 -0.88 -0.47 0.4 -0.13 -0.77 -0.34 0.44 -0.044 -0.83 -0.59 -0.06 0.54 -0.6 -0.27 0.25 0.42 -0.83 -0.061 -0.88 -0.34 0.32 -0.33 -0.92 0.2 0.09 0.42 -0.47 0.062 -0.77 ======== Free memory allocated by the new instance of Qhull, and redisplay the old results. 8 vertices and 17 facets with normals: 0.79 -0.1 -0.48 -0.36 -0.18 0.37 0.52 0.75 -0.82 0.56 -0.12 0.0042 -0.33 0.74 0.57 0.11 -0.21 0.45 0.78 -0.37 0.7 -0.48 -0.52 0.057 0.75 -0.34 -0.54 -0.18 0.11 -0.2 -0.92 -0.33 0.57 -0.24 -0.71 -0.35 -0.78 -0.01 -0.38 -0.5 -0.73 -0.0033 -0.14 -0.66 0.077 -0.27 0.93 -0.26 0.54 -0.79 0.29 -0.093 -0.69 -0.19 -0.011 -0.7 0.27 -0.7 0.52 0.41 0.52 -0.83 0.093 0.18 -0.72 -0.47 -0.23 -0.46 ======== 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): 0.000125 3 6 0 0 -1 0 -1 0 1 0 0 -1 0 0 0 1 0 0 0 1 Output completed. Verifying that all points are below outer planes of all facets. Will make 48 distance computations. 8 vertices and 6 facets with normals: -0 -0 -1 0 -1 0 1 -0 -0 -1 -0 -0 0 1 -0 -0 -0 1 user_eg 'QR1 p n Qt' 'v p' 'Fp' ======== user_eg 'cube qhull options' 'Delaunay options' 'halfspace options' This is the output from user_eg_r.c. It shows how qhull() may be called from an application, via Qhull's shared, reentrant library. user_eg is not part of Qhull itself. If user_eg fails immediately, user_eg_r.c was incorrectly linked to Qhull's non-reentrant library, libqhull. Try -- user_eg 'T1' 'T1' 'T1' ======== compute convex hull of cube after rotating input input -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 1 -1 1 1 1 1 1 Convex hull of 8 points in 3-d: Number of vertices: 8 Number of facets: 12 Number of triangulated facets: 6 Statistics for: | qhull s Tcv QR1 p n Qt QR1 Number of points processed: 8 Number of hyperplanes created: 12 Number of distance tests for qhull: 22 Number of distance tests for merging: 100 Number of distance tests for checking: 100 Number of merged facets: 6 CPU seconds to compute hull (after input): 7.8e-05 3 8 0.9124763375291641 1.390833937612012 -0.4826674750136241 -0.5764091147442416 0.565375258822974 -1.532352227508615 -0.1847368907548403 1.250953879569599 1.183632828365285 -1.673622343028246 0.4254952007805605 0.1339480758702936 1.673622343028246 -0.4254952007805605 -0.1339480758702936 0.1847368907548403 -1.250953879569599 -1.183632828365285 0.5764091147442416 -0.565375258822974 1.532352227508615 -0.9124763375291641 -1.390833937612012 0.4826674750136241 4 12 -0.7444427261367029 -0.4127293393945193 -0.5248423762474956 -1 -0.7444427261367029 -0.4127293393945193 -0.5248423762474956 -1 0.380573002749541 -0.9081645691962865 0.1743596995716653 -1 0.380573002749541 -0.9081645691962865 0.1743596995716653 -1 -0.5486066141420024 -0.0699400290212068 0.8331501516894544 -1 -0.5486066141420024 -0.0699400290212068 0.8331501516894544 -1 0.5486066141420024 0.06994002902120681 -0.8331501516894545 -1 0.5486066141420024 0.06994002902120681 -0.8331501516894545 -1 0.744442726136703 0.4127293393945192 0.5248423762474956 -1 0.744442726136703 0.4127293393945192 0.5248423762474956 -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: 1606200902 input 0.443 0.925 -0.869 0.196 -0.425 0.163 0.996 0.14 0.56 0.106 0.566 -0.342 -0.0872 -0.773 -0.138 -0.351 -0.837 0.272 -0.833 -0.612 0.493 -0.875 -0.973 -0.829 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: 25 Number of facets in hull: 17 Number of distance tests for qhull: 28 CPU seconds to compute hull (after input): 4.8e-05 3 11 1.110431559064643 -0.1414413825277213 -0.6761224549451303 -0.2891441599637726 0.6174142832159832 1.062948508652124 2.085456145101245 -0.9458930351534356 -1.495822492654172 0.1663237575958132 -0.3006810925879599 -1.387460841496964 0.8067053616331482 -0.3345206708020472 -1.001641190437692 -0.7870342540544762 -0.01045530755522076 -0.383592106563884 -0.5524657216146244 -0.00250225493519355 -0.1083717976065845 0.1493976147414764 -0.5145811642217625 1.78851552079203 2.886408518781258 -4.215612812455014 1.537478682210558 -0.4960594819308998 -0.1351959157056644 -0.007742139338241212 -0.7800210649683755 -0.5084877605321115 -0.2478477823540312 Output completed. Verifying that all points are below 1.5e-14 of all facets. Will make 88 distance computations. 8 vertices and 17 facets with normals: 0.79 -0.1 -0.48 -0.36 -0.18 0.37 0.52 0.75 -0.82 0.56 -0.12 0.0042 -0.33 0.74 0.57 0.11 -0.21 0.45 0.78 -0.37 0.7 -0.48 -0.52 0.057 0.75 -0.34 -0.54 -0.18 0.11 -0.2 -0.92 -0.33 0.57 -0.24 -0.71 -0.35 -0.78 -0.01 -0.38 -0.5 -0.73 -0.0033 -0.14 -0.66 0.077 -0.27 0.93 -0.26 0.54 -0.79 0.29 -0.093 -0.69 -0.19 -0.011 -0.7 0.27 -0.7 0.52 0.41 0.52 -0.83 0.093 0.18 -0.72 -0.47 -0.23 -0.46 find 3-d Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...] -0.83 -0.61 0.49 0.11 0.57 -0.34 0.20 -0.43 0.16 1.00 0.14 0.56 ======== Compute a new triangulation as a separate instance of Qhull seed: 1606200903 input 0.443 -0.812 0.643 -0.887 0.64 0.601 -0.91 -0.503 -0.0812 -0.0243 -0.667 0.697 -0.425 -0.704 -0.0313 0.708 0.506 0.288 -0.0663 -0.478 -0.672 0.498 0.205 -0.968 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: 25 Number of facets in hull: 17 Number of distance tests for qhull: 29 CPU seconds to compute hull (after input): 4.6e-05 3 11 0.8424406426210832 -0.3868113392668048 -0.2026384566726708 -0.8630452493103563 0.7370900075298485 -0.8615171972968819 -0.2293322009121457 0.486005756730147 -0.2321781546303211 0.3014578710950219 -0.2091014252199012 0.05190868445727639 3.990881104276728 4.320389826953464 19.62327578494539 0.217019653777773 -0.1527090695868285 0.06226387239441481 -0.3045749770489344 0.2618323382419297 -0.08363718357862276 -0.2074498016891506 0.2685127997345192 -0.02688225645819871 -0.4889171999442292 -0.05011949754470783 0.4455637736435809 -0.1619922471907825 0.1515710708115302 0.2552141295494246 0.2713150705932122 -0.301851664629768 0.04006151433311829 Output completed. Verifying that all points are below 9.4e-15 of all facets. Will make 88 distance computations. 8 vertices and 17 facets with normals: -0.082 -0.27 -0.2 0.94 0.43 0.23 0.14 0.86 0.00064 -0.67 -0.44 0.6 0.79 -0.36 -0.19 -0.47 -0.57 0.49 -0.57 -0.33 -0.3 0.63 -0.3 -0.65 0.48 -0.34 0.083 -0.8 -0.46 -0.51 0.52 0.51 0.19 0.21 0.96 -0.024 0.38 -0.27 0.11 -0.88 -0.47 0.4 -0.13 -0.77 -0.34 0.44 -0.044 -0.83 -0.59 -0.06 0.54 -0.6 -0.27 0.25 0.42 -0.83 -0.061 -0.88 -0.34 0.32 -0.33 -0.92 0.2 0.09 0.42 -0.47 0.062 -0.77 ======== Free memory allocated by the new instance of Qhull, and redisplay the old results. 8 vertices and 17 facets with normals: 0.79 -0.1 -0.48 -0.36 -0.18 0.37 0.52 0.75 -0.82 0.56 -0.12 0.0042 -0.33 0.74 0.57 0.11 -0.21 0.45 0.78 -0.37 0.7 -0.48 -0.52 0.057 0.75 -0.34 -0.54 -0.18 0.11 -0.2 -0.92 -0.33 0.57 -0.24 -0.71 -0.35 -0.78 -0.01 -0.38 -0.5 -0.73 -0.0033 -0.14 -0.66 0.077 -0.27 0.93 -0.26 0.54 -0.79 0.29 -0.093 -0.69 -0.19 -0.011 -0.7 0.27 -0.7 0.52 0.41 0.52 -0.83 0.093 0.18 -0.72 -0.47 -0.23 -0.46 ======== 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): 6.6e-05 3 6 0 0 -1 0 -1 0 1 0 0 -1 0 0 0 1 0 0 0 1 Output completed. Verifying that all points are below outer planes of all facets. Will make 48 distance computations. 8 vertices and 6 facets with normals: -0 -0 -1 0 -1 0 1 -0 -0 -1 -0 -0 0 1 -0 -0 -0 1 user_eg2 ======== user_eg2 'cube qhull options' 'Delaunay options' 'halfspace options' This is the output from user_eg2_r.c. It shows how qhull() may be called from an application, via Qhull's static, reentrant library. user_eg2 is not part of Qhull itself. If user_eg2 fails immediately, user_eg2_r.c was incorrectly linked to Qhull's non-reentrant library, libqhullstatic. Try -- user_eg2 'T1' 'T1' 'T1' ======== compute triangulated convex hull of cube after rotating input Output completed. Verifying that all points are below outer planes of all facets. Will make 96 distance computations. 8 vertices and 12 facets with normals: -0 -0 -1 -0 -0 -1 0 -1 0 0 -1 0 1 -0 -0 1 -0 -0 -1 -0 -0 -1 -0 -0 0 1 -0 0 1 -0 -0 -0 1 -0 -0 1 add points in a diamond 9 vertices and 14 facets 10 vertices and 16 facets 11 vertices and 16 facets 12 vertices and 16 facets 13 vertices and 14 facets 14 vertices and 12 facets 14 vertices and 12 facets with normals: 0.71 -0.71 -0 -0.71 -0.71 0 -0.71 0.71 -0 0.71 0.71 -0 -0.71 -0 -0.71 -0 0.71 -0.71 0 -0.71 -0.71 0.71 0 -0.71 -0 -0.71 0.71 -0.71 0 0.71 0.71 0 0.71 -0 0.71 0.71 Convex hull of 14 points in 3-d: Number of vertices: 14 Number of facets: 12 Number of non-simplicial facets: 12 Statistics for: user_eg2 cube example | qhull s Tcv Q11 Number of points processed: 14 Number of hyperplanes created: 23 Number of distance tests for qhull: 64 Number of distance tests for merging: 276 Number of distance tests for checking: 324 Number of merged facets: 18 CPU seconds to compute hull (after input): 0.000132 Output completed. Verifying that all points are below outer planes of all facets. Will make 168 distance computations. ======== compute 2-d Delaunay triangulation seed: 1606200902 8 vertices and 12 facets with normals: -0.12 -0.28 0.95 -0.75 -0.53 -0.4 -0.12 -0.14 0.98 0.58 -0.78 0.23 0.29 -0.69 -0.66 0.38 -0.22 -0.9 0.71 0.52 -0.47 0.84 -0.12 -0.53 -0.76 -0.35 -0.55 0.13 0.19 -0.97 -0.4 0.85 -0.35 0.13 0.67 -0.73 Delaunay triangulation by the convex hull of 8 points in 3-d: Number of input sites: 8 Number of Delaunay regions: 9 Statistics for: user_eg2 Delaunay example | qhull s d Tcv Number of points processed: 8 Number of hyperplanes created: 21 Number of facets in hull: 12 Number of distance tests for qhull: 35 CPU seconds to compute hull (after input): 3.9e-05 Output completed. Verifying that all points are below 4.4e-15 of all facets. Will make 72 distance computations. ======== add points to triangulation added point p8: -1 -0.7369 1.543 9 points, 0 extra points, 9 vertices, and 14 facets in total added point p9: 0.5112 -0.0827 0.2682 10 points, 0 extra points, 10 vertices, and 16 facets in total added point p10: 0.06553 -0.5621 0.3202 11 points, 0 extra points, 11 vertices, and 18 facets in total added point p11: -0.9059 0.3577 0.9486 12 points, 0 extra points, 12 vertices, and 20 facets in total added point p12: 0.3586 0.8694 0.8844 13 points, 0 extra points, 13 vertices, and 22 facets in total added point p13: -0.233 0.03883 0.0558 14 points, 0 extra points, 14 vertices, and 24 facets in total find Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...] -0.23 0.04 0.36 0.87 0.56 0.11 Delaunay triangulation by the convex hull of 14 points in 3-d: Number of input sites: 14 Number of Delaunay regions: 20 Statistics for: user_eg2 Delaunay example | qhull s d Tcv Number of points processed: 14 Number of hyperplanes created: 49 Number of facets in hull: 24 Number of distance tests for qhull: 71 CPU seconds to compute hull (after input): 3.9e-05 Output completed. Verifying that all points are below 4.4e-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 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): 6e-05 Output completed. Verifying that all points are below outer planes of all facets. Will make 48 distance computations. ======== add halfspaces for cube to intersection added offset -1 and normal 1.732 0 0 8 points, 1 extra points, 9 vertices, and 9 facets in total added offset -1 and normal -1.732 0 0 8 points, 2 extra points, 10 vertices, and 12 facets in total added offset -1 and normal 0 1.732 0 8 points, 3 extra points, 11 vertices, and 15 facets in total added offset -1 and normal 0 -1.732 0 8 points, 4 extra points, 12 vertices, and 18 facets in total added offset -1 and normal 0 0 1.732 8 points, 5 extra points, 13 vertices, and 21 facets in total added offset -1 and normal 0 0 -1.732 8 points, 6 extra points, 14 vertices, and 24 facets in total Halfspace intersection by the convex hull of 14 points in 3-d: Number of halfspaces: 14 Number of non-redundant halfspaces: 14 Number of intersection points: 24 Statistics for: user_eg2 halfspace example | qhull H0 s Tcv Number of points processed: 14 Number of hyperplanes created: 35 Number of distance tests for qhull: 58 Number of distance tests for merging: 248 Number of distance tests for checking: 256 Number of merged facets: 6 CPU seconds to compute hull (after input): 6e-05 Output completed. Verifying that all points are below outer planes of all facets. Will make 192 distance computations. user_eg2 'QR1 p' 'v p' 'Fp' ======== user_eg2 'cube qhull options' 'Delaunay options' 'halfspace options' This is the output from user_eg2_r.c. It shows how qhull() may be called from an application, via Qhull's static, reentrant library. user_eg2 is not part of Qhull itself. If user_eg2 fails immediately, user_eg2_r.c was incorrectly linked to Qhull's non-reentrant library, libqhullstatic. Try -- user_eg2 'T1' 'T1' 'T1' ======== compute triangulated convex hull of cube after rotating input Output completed. Verifying that all points are below outer planes of all facets. Will make 96 distance computations. 8 vertices and 12 facets with normals: -0.74 -0.41 -0.52 -0.74 -0.41 -0.52 0.38 -0.91 0.17 0.38 -0.91 0.17 -0.55 -0.07 0.83 -0.55 -0.07 0.83 0.55 0.07 -0.83 0.55 0.07 -0.83 0.74 0.41 0.52 0.74 0.41 0.52 -0.38 0.91 -0.17 -0.38 0.91 -0.17 add points in a diamond 9 vertices and 14 facets 10 vertices and 16 facets 11 vertices and 18 facets 12 vertices and 20 facets 13 vertices and 22 facets 14 vertices and 24 facets 14 vertices and 24 facets with normals: -0.67 0.63 -0.39 0.67 -0.63 0.39 -0.1 -0.71 0.7 -0.65 -0.65 -0.41 -0.62 -0.62 -0.49 0.63 -0.7 -0.34 0.65 -0.66 0.37 -0.65 0.66 -0.37 0.1 0.71 -0.7 -0.63 0.7 0.34 0.62 0.62 0.49 0.65 0.65 0.41 -0.7 -0.13 -0.7 -0.62 -0.49 -0.62 0.11 0.7 -0.71 0.68 0.29 -0.68 0.66 -0.34 -0.67 0.67 -0.3 -0.67 -0.66 0.34 0.67 -0.67 0.3 0.67 0.62 0.49 0.62 0.7 0.13 0.7 -0.11 -0.7 0.71 -0.68 -0.29 0.68 Convex hull of 14 points in 3-d: Number of vertices: 14 Number of facets: 24 Statistics for: user_eg2 cube example | qhull s Tcv Q11 QR1 p QR1 Number of points processed: 14 Number of hyperplanes created: 46 Number of distance tests for qhull: 68 Number of distance tests for merging: 284 Number of distance tests for checking: 244 Number of merged facets: 6 CPU seconds to compute hull (after input): 8e-05 3 14 0.9124763375291641 1.390833937612012 -0.4826674750136241 -0.5764091147442416 0.565375258822974 -1.532352227508615 -0.1847368907548403 1.250953879569599 1.183632828365285 -1.673622343028246 0.4254952007805605 0.1339480758702936 1.673622343028246 -0.4254952007805605 -0.1339480758702936 0.1847368907548403 -1.250953879569599 -1.183632828365285 0.5764091147442416 -0.565375258822974 1.532352227508615 -0.9124763375291641 -1.390833937612012 0.4826674750136241 -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: 1606200902 8 vertices and 12 facets with normals: -0.12 -0.28 0.95 -0.75 -0.53 -0.4 -0.12 -0.14 0.98 0.58 -0.78 0.23 0.29 -0.69 -0.66 0.38 -0.22 -0.9 0.71 0.52 -0.47 0.84 -0.12 -0.53 -0.76 -0.35 -0.55 0.13 0.19 -0.97 -0.4 0.85 -0.35 0.13 0.67 -0.73 Voronoi diagram by the convex hull of 8 points in 3-d: Number of Voronoi regions: 8 Number of Voronoi vertices: 9 Statistics for: user_eg2 Delaunay example | qhull s d Tcv v p Number of points processed: 8 Number of hyperplanes created: 21 Number of facets in hull: 12 Number of distance tests for qhull: 35 CPU seconds to compute hull (after input): 3.9e-05 2 9 -0.940968553301936 -0.6622639907956496 0.2162998702359954 -0.5225082922328657 0.2110694097481071 -0.1223894599559816 0.7452446533050036 0.550766406814067 0.7963181175167846 -0.11465272876748 -0.6839046365889371 -0.3187780515433956 0.06560965422018152 0.09978147062222859 -0.570677326781766 1.203492023648921 0.08602089137035031 0.4561694290516335 Output completed. Verifying that all points are below 4.4e-15 of all facets. Will make 72 distance computations. ======== add points to triangulation added point p8: -1 -0.7369 1.543 9 points, 0 extra points, 9 vertices, and 14 facets in total added point p9: 0.5112 -0.0827 0.2682 10 points, 0 extra points, 10 vertices, and 16 facets in total added point p10: 0.06553 -0.5621 0.3202 11 points, 0 extra points, 11 vertices, and 18 facets in total added point p11: -0.9059 0.3577 0.9486 12 points, 0 extra points, 12 vertices, and 20 facets in total added point p12: 0.3586 0.8694 0.8844 13 points, 0 extra points, 13 vertices, and 22 facets in total added point p13: -0.233 0.03883 0.0558 14 points, 0 extra points, 14 vertices, and 24 facets in total find Delaunay triangle or adjacent triangle closest to [0.5, 0.5, ...] -0.23 0.04 0.36 0.87 0.56 0.11 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: 71 CPU seconds to compute hull (after input): 3.9e-05 2 20 0.7452446533050036 0.550766406814067 -0.5378946024751404 -0.6135873999334832 -0.6829535136449006 -0.3059908008527173 -0.6727187809555711 -0.3125314109571821 0.8351773998085621 -0.1493336475945721 0.7917102385015335 -0.05461820950169115 -0.1506148363431435 -0.566818168911399 0.6072973199762001 -1.114196634536038 0.1937998698264594 -0.2344674729215319 0.238408109821409 -0.27593927212245 -2.38184806780863 -0.06679905498920295 -0.6353024052363841 0.334648427470938 0.6408378290433705 0.5357842860180283 -1.618139978863042 3.936297594083786 -0.3977915259259263 0.9203378349620158 0.135585464862979 0.402264352444594 -0.04949109093029554 0.5340912012224959 0.1605147116727942 0.1091545922484896 -0.5522592724972113 -0.2452618806508178 0.1297272510680126 -0.07937301716141817 Output completed. Verifying that all points are below 4.4e-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): 6.2e-05 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): 6.2e-05 3 24 0.5773502691896257 0 -0.4226497308103742 0.5773502691896257 -0.4226497308103742 0 0.5773502691896257 0.4226497308103742 0 0.5773502691896257 0 0.4226497308103742 -0.5773502691896257 0 -0.4226497308103742 -0.5773502691896257 -0.4226497308103742 0 -0.5773502691896257 0 0.4226497308103742 -0.5773502691896257 0.4226497308103742 0 0 0.5773502691896257 -0.4226497308103742 0.4226497308103742 0.5773502691896257 0 -0.4226497308103742 0.5773502691896257 0 0 0.5773502691896257 0.4226497308103742 0 -0.5773502691896257 -0.4226497308103742 -0.4226497308103742 -0.5773502691896257 0 0 -0.5773502691896257 0.4226497308103742 0.4226497308103742 -0.5773502691896257 0 0 -0.4226497308103742 0.5773502691896257 0.4226497308103742 0 0.5773502691896257 0 0.4226497308103742 0.5773502691896257 -0.4226497308103742 0 0.5773502691896257 -0.4226497308103742 0 -0.5773502691896257 0 -0.4226497308103742 -0.5773502691896257 0 0.4226497308103742 -0.5773502691896257 0.4226497308103742 0 -0.5773502691896257 Output completed. Verifying that all points are below outer planes of all facets. Will make 192 distance computations. user_eg3 ======== user_eg3 commands... -- demonstrate calling rbox and qhull from C++. user_eg3 is statically linked to qhullcpp and reentrant qhull. If user_eg3 fails immediately, it is probably linked to the non-reentrant qhull library. Commands: eg-100 Run the example in qh-code.htm eg-convex 'rbox d | qconvex o' with std::vector and C++ classes eg-delaunay 'rbox y c | qdelaunay o' with std::vector and C++ classes eg-voronoi 'rbox y c | qvoronoi o' with std::vector and C++ classes eg-fifo 'rbox y c | qvoronoi FN Fi Fo' with QhullUser and qh_fprintf Rbox and Qhull commands: rbox "200 D4" ... Generate points from rbox qhull "d p" ... Run qhull with options and produce output qhull-cout "o" ... Run qhull with options and produce output to cout qhull "T1" ... Run qhull with level-1 trace to cerr qhull-cout "T1z" ... Run qhull with level-1 trace to cout facets Print qhull's facets when done For example user_eg3 rbox qhull user_eg3 rbox qhull T1 user_eg3 rbox qhull d user_eg3 rbox D2 10 2 "s r 5" qhull "s p" facets user_eg3 eg-convex user_eg3 rbox 10 eg-delaunay qhull "d o" user_eg3 rbox D5 c P2 qhull d eg-delaunay user_eg3 rbox "D5 c P2" qhull v eg-voronoi o user_eg3 rbox D2 10 qhull "v" eg-fifo p Fi Fo user_eg3 eg-100 - f24 - flags: bottom simplicial - normal: -0.721696 -0.658796 -0.212466 - offset: -0.549277 - vertices: p40(v10) p27(v7) p0(v1) - neighboring facets: f34 f47 f54 - f32 - flags: top simplicial - normal: 0.389612 -0.428663 0.815138 - offset: -0.449315 - vertices: p22(v12) p13(v6) p82(v2) - neighboring facets: f61 f72 f77 - f34 - flags: top simplicial - normal: -0.452613 -0.760661 0.465335 - offset: -0.62552 - vertices: p22(v12) p27(v7) p0(v1) - neighboring facets: f24 f80 f73 - f38 - flags: top simplicial - normal: 0.998285 0.058513 -0.00174787 - offset: -0.477764 - vertices: p90(v13) p48(v8) p82(v2) - neighboring facets: f100 f97 f57 - f46 - flags: bottom simplicial - normal: -0.406035 0.904011 0.133791 - offset: -0.547585 - vertices: p73(v15) p76(v9) p97(v5) - neighboring facets: f51 f87 f82 - f47 - flags: bottom simplicial - normal: -0.992416 -0.0122817 -0.122308 - offset: -0.469463 - vertices: p73(v15) p40(v10) p0(v1) - neighboring facets: f24 f81 f88 - f49 - flags: top simplicial - normal: -0.107843 0.991034 0.0788761 - offset: -0.50132 - vertices: p21(v16) p97(v5) p29(v3) - neighboring facets: f116 f66 f51 - f51 - flags: top simplicial - normal: -0.177935 0.975873 0.126537 - offset: -0.506339 - vertices: p21(v16) p76(v9) p97(v5) - neighboring facets: f46 f49 f67 - f52 - flags: top simplicial - normal: -0.378163 -0.891276 -0.250241 - offset: -0.526009 - vertices: p98(v17) p27(v7) p83(v4) - neighboring facets: f75 f53 f54 - f53 - flags: bottom simplicial - normal: -0.430163 -0.821913 -0.373389 - offset: -0.546784 - vertices: p98(v17) p40(v10) p83(v4) - neighboring facets: f108 f52 f54 - f54 - flags: top simplicial - normal: -0.548096 -0.791241 -0.271162 - offset: -0.537299 - vertices: p98(v17) p40(v10) p27(v7) - neighboring facets: f24 f52 f53 - f57 - flags: bottom simplicial - normal: 0.974428 0.137974 -0.177349 - offset: -0.521881 - vertices: p19(v18) p90(v13) p48(v8) - neighboring facets: f38 f60 f113 - f59 - flags: bottom simplicial - normal: 0.239508 -0.0103785 -0.970839 - offset: -0.517616 - vertices: p19(v18) p4(v14) p83(v4) - neighboring facets: f76 f110 f60 - f60 - flags: top simplicial - normal: 0.567061 -0.0365561 -0.822865 - offset: -0.572132 - vertices: p19(v18) p4(v14) p48(v8) - neighboring facets: f85 f57 f59 - f61 - flags: bottom simplicial - normal: 0.433241 -0.284128 0.855321 - offset: -0.426268 - vertices: p37(v19) p13(v6) p82(v2) - neighboring facets: f32 f69 f95 - f65 - flags: top simplicial - normal: -0.198254 0.211674 0.957021 - offset: -0.497913 - vertices: p67(v20) p12(v11) p76(v9) - neighboring facets: f79 f67 f68 - f66 - flags: top simplicial - normal: -0.155514 0.97946 0.128347 - offset: -0.504016 - vertices: p67(v20) p21(v16) p29(v3) - neighboring facets: f49 f71 f67 - f67 - flags: bottom simplicial - normal: -0.16055 0.978089 0.132539 - offset: -0.504235 - vertices: p67(v20) p21(v16) p76(v9) - neighboring facets: f51 f65 f66 - f68 - flags: top simplicial - normal: 0.598999 -0.0537935 0.798941 - offset: -0.457967 - vertices: p67(v20) p37(v19) p12(v11) - neighboring facets: f96 f65 f69 - f69 - flags: bottom simplicial - normal: 0.69477 -0.0317528 0.718531 - offset: -0.45153 - vertices: p67(v20) p37(v19) p82(v2) - neighboring facets: f61 f98 f68 - f71 - flags: bottom simplicial - normal: 0.877687 0.308225 0.366966 - offset: -0.494379 - vertices: p67(v20) p90(v13) p29(v3) - neighboring facets: f115 f66 f99 - f72 - flags: top simplicial - normal: 0.245263 -0.887198 0.390801 - offset: -0.480731 - vertices: p41(v21) p22(v12) p82(v2) - neighboring facets: f32 f74 f73 - f73 - flags: bottom simplicial - normal: 0.0168085 -0.963019 0.268908 - offset: -0.510609 - vertices: p41(v21) p22(v12) p27(v7) - neighboring facets: f34 f75 f72 - f74 - flags: bottom simplicial - normal: 0.227082 -0.964773 0.132845 - offset: -0.464868 - vertices: p41(v21) p4(v14) p82(v2) - neighboring facets: f84 f72 f76 - f75 - flags: bottom simplicial - normal: 0.0345717 -0.998303 0.0468616 - offset: -0.47919 - vertices: p41(v21) p27(v7) p83(v4) - neighboring facets: f52 f76 f73 - f76 - flags: top simplicial - normal: 0.137757 -0.987556 0.0758723 - offset: -0.471349 - vertices: p41(v21) p4(v14) p83(v4) - neighboring facets: f59 f75 f74 - f77 - flags: bottom simplicial - normal: -0.323398 -0.00535492 0.946248 - offset: -0.501516 - vertices: p15(v22) p22(v12) p13(v6) - neighboring facets: f32 f78 f80 - f78 - flags: top simplicial - normal: -0.20543 0.0915675 0.974379 - offset: -0.474687 - vertices: p15(v22) p12(v11) p13(v6) - neighboring facets: f94 f77 f79 - f79 - flags: bottom simplicial - normal: -0.218614 0.160888 0.962457 - offset: -0.484859 - vertices: p15(v22) p12(v11) p76(v9) - neighboring facets: f65 f82 f78 - f80 - flags: top simplicial - normal: -0.593167 -0.119334 0.796186 - offset: -0.544059 - vertices: p15(v22) p22(v12) p0(v1) - neighboring facets: f34 f81 f77 - f81 - flags: bottom simplicial - normal: -0.974282 0.088044 0.20742 - offset: -0.50771 - vertices: p15(v22) p73(v15) p0(v1) - neighboring facets: f47 f80 f82 - f82 - flags: top simplicial - normal: -0.826328 0.394399 0.402034 - offset: -0.559684 - vertices: p15(v22) p73(v15) p76(v9) - neighboring facets: f46 f79 f81 - f84 - flags: top simplicial - normal: 0.82988 -0.542609 -0.129903 - offset: -0.585213 - vertices: p57(v23) p4(v14) p82(v2) - neighboring facets: f74 f101 f85 - f85 - flags: bottom simplicial - normal: 0.906692 -0.29884 -0.297664 - offset: -0.57209 - vertices: p57(v23) p4(v14) p48(v8) - neighboring facets: f60 f102 f84 - f86 - flags: top simplicial - normal: -0.85363 0.243861 -0.460269 - offset: -0.522928 - vertices: p11(v24) p40(v10) p97(v5) - neighboring facets: f89 f87 f88 - f87 - flags: bottom simplicial - normal: -0.890339 0.291001 -0.350165 - offset: -0.531756 - vertices: p11(v24) p73(v15) p97(v5) - neighboring facets: f46 f86 f88 - f88 - flags: top simplicial - normal: -0.987894 0.0156004 -0.154345 - offset: -0.477251 - vertices: p11(v24) p73(v15) p40(v10) - neighboring facets: f47 f86 f87 - f89 - flags: bottom simplicial - normal: -0.492188 0.332666 -0.804416 - offset: -0.526118 - vertices: p25(v25) p40(v10) p97(v5) - neighboring facets: f86 f114 f109 - f94 - flags: bottom simplicial - normal: 0.368779 -0.208614 0.905805 - offset: -0.440207 - vertices: p7(v26) p12(v11) p13(v6) - neighboring facets: f78 f95 f96 - f95 - flags: top simplicial - normal: 0.417114 -0.259346 0.871066 - offset: -0.429768 - vertices: p7(v26) p37(v19) p13(v6) - neighboring facets: f61 f94 f96 - f96 - flags: bottom simplicial - normal: 0.469304 -0.162419 0.867971 - offset: -0.446808 - vertices: p7(v26) p37(v19) p12(v11) - neighboring facets: f68 f94 f95 - f97 - flags: top simplicial - normal: 0.911891 0.1675 0.374697 - offset: -0.446013 - vertices: p28(v27) p90(v13) p82(v2) - neighboring facets: f38 f98 f99 - f98 - flags: bottom simplicial - normal: 0.888791 0.148029 0.433749 - offset: -0.448933 - vertices: p28(v27) p67(v20) p82(v2) - neighboring facets: f69 f97 f99 - f99 - flags: top simplicial - normal: 0.903592 0.183305 0.387197 - offset: -0.447956 - vertices: p28(v27) p67(v20) p90(v13) - neighboring facets: f71 f97 f98 - f100 - flags: bottom simplicial - normal: 0.93763 -0.294784 -0.184262 - offset: -0.546054 - vertices: p42(v28) p48(v8) p82(v2) - neighboring facets: f38 f101 f102 - f101 - flags: top simplicial - normal: 0.933493 -0.306605 -0.185968 - offset: -0.547862 - vertices: p42(v28) p57(v23) p82(v2) - neighboring facets: f84 f100 f102 - f102 - flags: bottom simplicial - normal: 0.928146 -0.300441 -0.219729 - offset: -0.55469 - vertices: p42(v28) p57(v23) p48(v8) - neighboring facets: f85 f100 f101 - f108 - flags: top simplicial - normal: 0.00135876 0.0103445 -0.999946 - offset: -0.494086 - vertices: p5(v30) p40(v10) p83(v4) - neighboring facets: f53 f110 f109 - f109 - flags: top simplicial - normal: -0.106214 0.129184 -0.985916 - offset: -0.504323 - vertices: p5(v30) p25(v25) p40(v10) - neighboring facets: f89 f108 f111 - f110 - flags: bottom simplicial - normal: 0.125474 0.0262996 -0.991748 - offset: -0.496467 - vertices: p5(v30) p19(v18) p83(v4) - neighboring facets: f59 f108 f111 - f111 - flags: bottom simplicial - normal: 0.0358445 0.163534 -0.985886 - offset: -0.514407 - vertices: p5(v30) p25(v25) p19(v18) - neighboring facets: f112 f110 f109 - f112 - flags: top simplicial - normal: 0.0769357 0.958704 -0.273801 - offset: -0.543222 - vertices: p78(v31) p25(v25) p19(v18) - neighboring facets: f111 f113 f114 - f113 - flags: top simplicial - normal: 0.129005 0.982313 -0.135717 - offset: -0.512909 - vertices: p78(v31) p19(v18) p90(v13) - neighboring facets: f57 f115 f112 - f114 - flags: bottom simplicial - normal: -0.0450665 0.957786 -0.283929 - offset: -0.551711 - vertices: p78(v31) p25(v25) p97(v5) - neighboring facets: f89 f116 f112 - f115 - flags: top simplicial - normal: 0.102483 0.993113 -0.0567803 - offset: -0.497056 - vertices: p78(v31) p90(v13) p29(v3) - neighboring facets: f71 f116 f113 - f116 - flags: bottom simplicial - normal: -0.00662022 0.999903 -0.0122926 - offset: -0.49314 - vertices: p78(v31) p97(v5) p29(v3) - neighboring facets: f49 f115 f114 user_eg3 eg-convex A 3-d diamond (rbox d) 3 rbox "d" 6 0 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 0 Input points and facetlist of its convex hull (qhull o) 3 6 8 12 0 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 0 3 2 0 4 3 0 2 5 3 1 2 4 3 2 1 5 3 3 0 5 3 0 3 4 3 1 3 5 3 3 1 4 Input points and facetlist using std::vector and C++ classes 3 6 8 12 0 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 0 3 2 0 4 3 0 2 5 3 1 2 4 3 2 1 5 3 3 0 5 3 0 3 4 3 1 3 5 3 3 1 4 Its outward pointing normals as vector plus offset (qhull n) 4 8 -0.5773502691896258 -0.5773502691896258 -0.5773502691896258 -0.2886751345948129 0.5773502691896258 -0.5773502691896258 -0.5773502691896258 -0.2886751345948129 -0.5773502691896258 -0.5773502691896258 0.5773502691896258 -0.2886751345948129 0.5773502691896258 -0.5773502691896258 0.5773502691896258 -0.2886751345948129 0.5773502691896258 0.5773502691896258 -0.5773502691896258 -0.2886751345948129 -0.5773502691896258 0.5773502691896258 -0.5773502691896258 -0.2886751345948129 0.5773502691896258 0.5773502691896258 0.5773502691896258 -0.2886751345948129 -0.5773502691896258 0.5773502691896258 0.5773502691896258 -0.2886751345948129 user_eg3 eg-delaunay A 2-d triangle in a square (rbox y c D2) 2 rbox "y c D2" 7 0.0795233 -0.451105 0.279706 0.0133225 -0.0888864 0.0861965 -0.5 -0.5 -0.5 0.5 0.5 -0.5 0.5 0.5 The 2-d input sites are lifted to a 3-d paraboloid. A Delaunay region is a facet of the paraboloid's convex hull. The Delaunay triangulation as input sites and Delaunay regions (qhull d o) 3 7 8 12 0.07952334739223432 -0.4511049142583319 0.209819606448483 0.2797056779076398 0.01332249167684696 0.07841275503825199 -0.08888640449278651 0.08619647248293871 0.01533062477215727 -0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 0.5 0.5 0.5 0.5 3 2 4 3 3 2 6 4 3 5 0 3 3 0 2 3 3 6 1 5 3 1 6 2 3 1 0 5 3 0 1 2 The same results using std::vector and C++ classes 3 7 8 12 0.0795233 -0.451105 0.20982 0.279706 0.0133225 0.0784128 -0.0888864 0.0861965 0.0153306 -0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 0.5 0.5 0.5 0.5 3 2 4 3 3 2 6 4 3 5 0 3 3 0 2 3 3 6 1 5 3 1 6 2 3 1 0 5 3 0 1 2 user_eg3 eg-voronoi A 2-d triangle in a square (rbox y c D2) 2 rbox "y c D2" 7 0.0795233 -0.451105 0.279706 0.0133225 -0.0888864 0.0861965 -0.5 -0.5 -0.5 0.5 0.5 -0.5 0.5 0.5 Its Voronoi diagram as vertices and regions (qhull v o) The Voronoi diagram is the dual of the Delaunay triangulation Voronoi vertices are Delaunay regions, and Voronoi regions are Delaunay input sites The Voronoi vertex at infinity is represented as '-10.101 -10.101' 2 9 7 1 -10.101 -10.101 -0.5894591914795221 -2.25657621095346e-17 -3.482840364920202e-17 0.5856274089010268 1.749571456559253e-17 -2.967377898513707 -0.2290343684408741 -0.2527745420948134 0.9568726986640038 1.454789928919121e-17 0.1571419516493774 0.3619977084558904 0.3129256373384354 -0.2763523586794005 0.05307821633938364 -0.1643502208872393 4 8 4 3 7 4 8 6 5 7 5 8 4 1 2 6 4 4 1 0 3 3 2 0 1 4 7 3 0 5 4 6 2 0 5 The same results using std::vector and C++ classes Qhull::prepareVoronoi assigns facetT.visit_id and vertexT.neighbors The Voronoi regions are rotated by one Voronoi vertex (prepareVoronoi occurs twice) 2 9 7 1 -10.101 -10.101 -0.589459 -2.25658e-17 -3.48284e-17 0.585627 1.74957e-17 -2.96738 -0.229034 -0.252775 0.956873 1.45479e-17 0.157142 0.361998 0.312926 -0.276352 0.0530782 -0.16435 4 7 8 4 3 4 7 8 6 5 5 6 8 4 1 2 4 3 4 1 0 3 1 2 0 4 5 7 3 0 4 5 6 2 0 user_eg3 eg-fifo A 2-d triangle in a square (rbox y c D2) 2 rbox "y c D2" 7 0.0795233 -0.451105 0.279706 0.0133225 -0.0888864 0.0861965 -0.5 -0.5 -0.5 0.5 0.5 -0.5 0.5 0.5 Its Voronoi vertices (qhull v p) This is the first part of eg-voronoi, but without infinity 2 8 -0.5894591914795221 -2.25657621095346e-17 -3.482840364920202e-17 0.5856274089010268 1.749571456559253e-17 -2.967377898513707 -0.2290343684408741 -0.2527745420948134 0.9568726986640038 1.454789928919121e-17 0.1571419516493774 0.3619977084558904 0.3129256373384354 -0.2763523586794005 0.05307821633938364 -0.1643502208872393 Its Voronoi regions (qhull v FN) This is the second part of eg-voronoi, with ids one less Regions are ordered by the corresponding input site. 7 4 7 3 2 6 4 7 5 4 6 5 7 3 0 1 5 4 3 0 -1 2 3 1 -1 0 4 6 2 -1 4 4 5 1 -1 4 The same results as 'qhull v p FN' using std::vector and C++ classes Qhull::prepareVoronoi assigns facet.visit_id and vertex.neighbors prepareVoronoi is also called by q.outputQhull("FN"), hence the rotated vertices 2 8 -0.589459 -2.25658e-17 -3.48284e-17 0.585627 1.74957e-17 -2.96738 -0.229034 -0.252775 0.956873 1.45479e-17 0.157142 0.361998 0.312926 -0.276352 0.0530782 -0.16435 7 4 6 7 3 2 4 6 7 5 4 5 5 7 3 0 1 4 2 3 0 -1 3 0 1 -1 4 4 6 2 -1 4 4 5 1 -1 Hyperplanes for bounded facets between Voronoi regions (qhull v Fi) Each hyperplane is the perpendicular bisector of 2 input sites. 10 5 0 1 0.3958261856523667 0.9183254492563615 0.1299172425168069 5 0 5 0.9933067158065388 -0.1155065726858349 -0.3427516509210134 5 0 2 -0.299088827225221 0.954225273941663 0.1727022360246516 5 0 3 -0.9964596398753636 -0.08407250501478322 -0.2494748932535505 5 1 5 0.3943714145865591 -0.9189511343684148 -0.3773632397513814 5 1 2 -0.9810105005095815 0.1939546284313432 0.08394677360204827 5 1 6 0.4123709353479589 0.9110160326142727 -0.3945864897570009 5 2 6 0.8181972788475071 0.5749375730342683 -0.3366992011759034 5 2 3 -0.574189571650573 -0.8187223801800776 -0.3384613206611199 5 2 4 -0.7047972640762143 0.7094087795838752 -0.4154492254393445 Hyperplanes for unbounded rays of unbounded facets (qhull v Fo) Each ray goes through the midpoint of 2 input sites, oriented outwards 4 5 3 5 1 7.090812710988276e-18 3.545406355494139e-18 5 3 4 -2.522464347858552e-16 1 -1.261232173929276e-16 5 4 6 1 4.067436361347654e-16 -2.033718180673827e-16 5 5 6 -3.184234762053514e-17 1 1.592117381026757e-17 The same result as 'qhull v Fi' using QhullUser and its custom qh_fprintf qh_fprintf captures the output from qh_eachvoronoi in io_r.c (qhull v Fi Fo Ta) 10 5 0 1 0.395826 0.918325 0.129917 5 0 5 0.993307 -0.115507 -0.342752 5 0 2 -0.299089 0.954225 0.172702 5 0 3 -0.99646 -0.0840725 -0.249475 5 1 5 0.394371 -0.918951 -0.377363 5 1 2 -0.981011 0.193955 0.0839468 5 1 6 0.412371 0.911016 -0.394586 5 2 6 0.818197 0.574938 -0.336699 5 2 3 -0.57419 -0.818722 -0.338461 5 2 4 -0.704797 0.709409 -0.415449 The same result as 'qhull v Fo' using QhullUser and its custom qh_fprintf 4 5 3 5 1 7.09081e-18 3.54541e-18 5 3 4 -2.52246e-16 1 -1.26123e-16 5 4 6 1 4.06744e-16 -2.03372e-16 5 5 6 -3.18423e-17 1 1.59212e-17 Message codes captured by qh_fprintf in QhullUser.cpp (qhull v Fo Ta): 9231 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 user_eg3 rbox qhull Results of qhull Convex hull of 10 points in 2-d: Number of vertices: 4 Number of facets: 4 Statistics for: rbox "10 D2" | qhull Number of points processed: 4 Number of hyperplanes created: 5 Number of distance tests for qhull: 51 CPU seconds to compute hull (after input): 3.3e-05 user_eg3 rbox qhull T1 Results of T1 [QH0013]qh_initqhull_globals: for rbox "10 D2" | qhull T1 qh_meminitbuffers: memory initialized with alignment 8 qh_maxmin: dim min max width nearzero min-point max-point 0 -4.28543191e-01 3.79031236e-01 8.07574428e-01 7.6125e-15 p1 p4 1 -4.97972782e-01 4.74582647e-01 9.72555429e-01 1.6458e-14 p0 p1 qh_maxmin: found the max and min points (by dim): p1 p4 p0 p1 [QH1002]qh_maxsimplex: selected point p0 for 3`th initial vertex, det=0.7462, targetdet=0.7854, mindet=0.007854 [QH1028]qh_createsimplex: created simplex qh_initialhull: qh.interior_point p-2: -0.02391 0.1182 [QH1027]qh_checkpolygon: check all facets from f1, qh.NEWtentative? 0 [QH1064]qh_checkconvex: check that facets are not-flipped and for qh.ZEROcentrum that simplicial vertices are below their neighbor (dist<0.0) qh_initialhull: simplex constructed [QH1042]qh_partitionall: partition all points into outside sets Trace level T0, IStracing 1, point TP-3, merge TM0, dist TW1.8e+308, qh.tracefacet_id -1, traceridge_id -1, tracevertex_id -1, last qh.RERUN 0, rbox "10 D2" | qhull T1 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549117124 _pre-merge _zero-centrum _max-width 0.97 Error-roundoff 4.3e-16 _one-merge 2.1e-15 _near-inside 1.1e-14 Visible-distance 8.5e-16 U-max-coplanar 8.5e-16 Width-outside 1.7e-15 _wide-facet 5.1e-15 [QH1029]qh_furthestnext: made f3 next facet(dist 0.19) [QH1030]qh_initbuild: initial hull created and points partitioned [QH1037]qh_buildhull: start build hull [QH1049]qh_addpoint: add p8(v4) 0.19 above f3 to hull of 3 facets, 0 merges, 3 outside at 5.3e-05 CPU secs. Previous p-1(v3) delta 5.3e-05 CPU, 3 facets, 0 merges, 3 hyperplanes, 61 distplanes, 0 retries [QH1040]qh_findhorizon: find horizon for point p8 facet f3 [QH1041]qh_findhorizon: 2 horizon facets(good 2), 1 visible(good 1), 0 coplanar [QH1032]qh_makenewfacets: created 2 new facets f4..f5 from point p8 to horizon [QH1019]qh_matchnewfacets: match neighbors for new facets. [QH1043]qh_partitionvisible: partitioned 2 points from outsidesets, 0 points from coplanarsets, and 0 deleted vertices [QH1018]qh_deletevisible: delete 1 visible facets and 0 vertices [QH1039]qh_buildhull: completed the hull construction [QH1036]Qhull: algorithm completed [QH1027]qh_checkpolygon: check all facets from f1, qh.NEWtentative? 0 [QH1064]qh_checkconvex: check that facets are not-flipped and for qh.ZEROcentrum that simplicial vertices are below their neighbor (dist<0.0) Convex hull of 10 points in 2-d: Number of vertices: 4 Number of facets: 4 Statistics for: rbox "10 D2" | qhull T1 Number of points processed: 4 Number of hyperplanes created: 5 Number of distance tests for qhull: 51 CPU seconds to compute hull (after input): 7.4e-05 user_eg3 rbox qhull d Results of d Delaunay triangulation by the convex hull of 10 points in 3-d: Number of input sites: 10 Number of Delaunay regions: 14 Statistics for: rbox "10 D2" | qhull d Number of points processed: 10 Number of hyperplanes created: 28 Number of facets in hull: 16 Number of distance tests for qhull: 47 CPU seconds to compute hull (after input): 5.2e-05 user_eg3 rbox y c rbox y rbox c 3 rbox "y" "c" 12 -0.306292 0.149266 -0.289011 -0.409906 -0.282924 -0.0983473 0.0770774 0.440163 -0.185531 -0.212802 0.438723 -0.375664 -0.5 -0.5 -0.5 -0.5 -0.5 0.5 -0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 0.5 0.5 0.5 user_eg3 rbox D2 10 2 "s r 5" qhull 's p' facets rbox D2 rbox 10 rbox 2 rbox s r 5 Results of s p Convex hull of 17 points in 2-d: Number of vertices: 7 Number of facets: 7 Statistics for: rbox "10 D2" "2 D2" "s r 5 D2" | qhull s p Number of points processed: 7 Number of hyperplanes created: 11 Number of distance tests for qhull: 78 CPU seconds to compute hull (after input): 4.2e-05 2 7 -0.02222276248244826 -0.4979727817680433 -0.4285431913366012 0.4745826469497594 0.3790312361708201 0.3779794437605696 0.1545084971874737 0.4755282581475768 -0.4045084971874738 -0.2938926261462365 0.1545084971874736 -0.4755282581475768 0.5 -1.224646799147353e-16 Facets created by Qhull::runQhull() - f5 - flags: bottom simplicial - normal: 0.952413 0.304811 - offset: -0.476206 - vertices: p4(v4) p16(v2) - neighboring facets: f8 f11 - f6 - flags: bottom simplicial - normal: -0.999511 -0.0312605 - offset: -0.413498 - vertices: p14(v5) p1(v1) - neighboring facets: f10 f7 - f7 - flags: top simplicial - normal: -0.470938 -0.882167 - offset: -0.44976 - vertices: p14(v5) p0(v3) - neighboring facets: f9 f6 - f8 - flags: top simplicial - normal: 0.809017 -0.587785 - offset: -0.404508 - vertices: p15(v6) p16(v2) - neighboring facets: f5 f9 - f9 - flags: bottom simplicial - normal: 0.125986 -0.992032 - offset: -0.491205 - vertices: p15(v6) p0(v3) - neighboring facets: f7 f8 - f10 - flags: top simplicial - normal: -0.00162183 0.999999 - offset: -0.475277 - vertices: p12(v7) p1(v1) - neighboring facets: f6 f11 - f11 - flags: bottom simplicial - normal: 0.398486 0.917174 - offset: -0.497712 - vertices: p12(v7) p4(v4) - neighboring facets: f5 f10 user_eg3 rbox "10 D2" eg-convex rbox 10 D2 Input points and facetlist for convex hull of rbox "10 D2" via C++ classes 2 10 4 4 -0.0222228 -0.497973 -0.428543 0.474583 0.31054 0.240018 -0.0188396 0.363026 0.379031 0.377979 -0.299496 0.377661 0.347182 0.0836553 -0.0048582 0.348268 0.344312 -0.143731 0.309331 -0.077581 2 4 1 2 1 0 2 8 4 2 0 8 user_eg3 rbox '10 D2' qhull s eg-convex rbox 10 D2 Results of s Convex hull of 10 points in 2-d: Number of vertices: 4 Number of facets: 4 Statistics for: rbox "10 D2" | qhull s Number of points processed: 4 Number of hyperplanes created: 5 Number of distance tests for qhull: 51 CPU seconds to compute hull (after input): 3.7e-05 Input points and facetlist for 'qhull s' via C++ classes 2 10 4 4 -0.0222228 -0.497973 -0.428543 0.474583 0.31054 0.240018 -0.0188396 0.363026 0.379031 0.377979 -0.299496 0.377661 0.347182 0.0836553 -0.0048582 0.348268 0.344312 -0.143731 0.309331 -0.077581 2 4 1 2 1 0 2 8 4 2 0 8 user_eg3 rbox 10 eg-delaunay qhull 'd o' rbox 10 Delaunay triangulation of 10 points as 4-d paraboloid via C++ classes 4 10 15 30 -0.374949 0.224726 -0.0378235 0.192519 0.300492 0.369454 0.421096 0.404114 0.364148 0.233952 0.0348979 0.188555 -0.470713 -0.281065 0.135495 0.318928 0.264275 -0.326571 0.317506 0.2773 0.318323 0.0506033 0.489822 0.343815 0.433436 -0.248039 0.203767 0.290911 -0.285595 -0.00222701 -0.42931 0.265876 -0.40759 -0.362593 -0.0978938 0.307186 -0.301385 -0.378685 0.434172 0.422741 4 5 2 1 6 4 5 4 2 6 4 2 4 7 6 4 4 0 5 2 4 0 5 2 1 4 0 4 9 3 4 4 0 9 5 4 0 9 5 1 4 4 8 7 6 4 4 8 9 3 4 8 0 7 3 4 0 8 4 3 4 4 8 2 7 4 8 0 2 7 4 8 0 4 2 Results of d o 4 10 15 30 -0.374949442106252 0.2247255418679914 -0.03782349642163468 0.1925192701852094 0.3004920247946792 0.3694544596313075 0.4210962191420572 0.4041140804824029 0.3641479121187217 0.2339522165562512 0.03489791698278666 0.1885552061417448 -0.4707134565997063 -0.2810653003687648 0.1354949890035158 0.3189277533404903 0.2642752088273644 -0.3265712199048802 0.3175057017407433 0.2773000183087906 0.3183227589524563 0.05060330969337679 0.4898217078203537 0.3438153792710754 0.4334355904100794 -0.2480392830893763 0.2037671452423252 0.2909109464698327 -0.2855954200826543 -0.002227006947833121 -0.4293096679535784 0.2658764945305452 -0.4075898489985521 -0.3625928418362446 -0.09789381697577781 0.3071862533596335 -0.3013850588364387 -0.3786854184034145 0.4341719447953365 0.4227408774485775 4 5 2 1 6 4 5 4 2 6 4 2 4 7 6 4 4 0 5 2 4 0 5 2 1 4 0 4 9 3 4 4 0 9 5 4 0 9 5 1 4 4 8 7 6 4 4 8 9 3 4 8 0 7 3 4 0 8 4 3 4 4 8 2 7 4 8 0 2 7 4 8 0 4 2 user_eg3 rbox D5 c P2 qhull d eg-delaunay rbox D5 rbox c rbox P2 Results of d Delaunay triangulation by the convex hull of 33 points in 6-d: Number of input sites: 33 Number of Delaunay regions: 2 Number of non-simplicial Delaunay regions: 2 Statistics for: rbox "c D5" "P2 D5" | qhull d Number of points processed: 33 Number of hyperplanes created: 87 Number of facets in hull: 11 Number of distance tests for qhull: 826 Number of distance tests for merging: 3868 Number of distance tests for checking: 363 Number of merged facets: 296 CPU seconds to compute hull (after input): 0.000983 Vertices and Delaunay regions of paraboloid from 'qhull d' via C++ classes 6 33 2 6 -0.5 -0.5 -0.5 -0.5 -0.5 1.25 -0.5 -0.5 -0.5 -0.5 0.5 1.25 -0.5 -0.5 -0.5 0.5 -0.5 1.25 -0.5 -0.5 -0.5 0.5 0.5 1.25 -0.5 -0.5 0.5 -0.5 -0.5 1.25 -0.5 -0.5 0.5 -0.5 0.5 1.25 -0.5 -0.5 0.5 0.5 -0.5 1.25 -0.5 -0.5 0.5 0.5 0.5 1.25 -0.5 0.5 -0.5 -0.5 -0.5 1.25 -0.5 0.5 -0.5 -0.5 0.5 1.25 -0.5 0.5 -0.5 0.5 -0.5 1.25 -0.5 0.5 -0.5 0.5 0.5 1.25 -0.5 0.5 0.5 -0.5 -0.5 1.25 -0.5 0.5 0.5 -0.5 0.5 1.25 -0.5 0.5 0.5 0.5 -0.5 1.25 -0.5 0.5 0.5 0.5 0.5 1.25 0.5 -0.5 -0.5 -0.5 -0.5 1.25 0.5 -0.5 -0.5 -0.5 0.5 1.25 0.5 -0.5 -0.5 0.5 -0.5 1.25 0.5 -0.5 -0.5 0.5 0.5 1.25 0.5 -0.5 0.5 -0.5 -0.5 1.25 0.5 -0.5 0.5 -0.5 0.5 1.25 0.5 -0.5 0.5 0.5 -0.5 1.25 0.5 -0.5 0.5 0.5 0.5 1.25 0.5 0.5 -0.5 -0.5 -0.5 1.25 0.5 0.5 -0.5 -0.5 0.5 1.25 0.5 0.5 -0.5 0.5 -0.5 1.25 0.5 0.5 -0.5 0.5 0.5 1.25 0.5 0.5 0.5 -0.5 -0.5 1.25 0.5 0.5 0.5 -0.5 0.5 1.25 0.5 0.5 0.5 0.5 -0.5 1.25 0.5 0.5 0.5 0.5 0.5 1.25 2 0 0 0 0 4 32 17 18 3 20 5 6 24 9 10 12 19 21 22 7 25 26 11 28 13 14 23 27 29 30 15 31 16 1 2 4 8 0 17 17 18 20 24 19 21 22 25 26 28 23 27 29 30 31 16 32 user_eg3 rbox '10 D2' eg-voronoi rbox 10 D2 Voronoi vertices and regions for rbox "10 D2" via C++ classes 2 15 10 1 -10.101 -10.101 -0.129438 -0.0724741 0.0826769 -0.239764 0.129526 1.71603 0.174036 0.531752 0.185142 0.388255 -0.906594 -0.296296 -0.195481 -0.0711189 -0.140758 0.723386 -0.16763 0.208062 0.0586831 0.0663207 0.0880634 0.105408 0.476159 -0.0316837 3.09421 -0.0647219 0.541052 0.211562 5 7 1 2 0 6 4 8 3 0 6 3 14 5 11 4 9 4 3 8 6 14 5 4 3 0 13 4 9 7 6 8 5 14 11 10 12 13 7 11 5 4 9 7 1 10 4 13 0 2 12 4 12 2 1 10 user_eg3 rbox "D5 c P2" qhull v eg-voronoi o rbox D5 c P2 Results of v Voronoi diagram by the convex hull of 33 points in 6-d: Number of Voronoi regions: 33 Number of Voronoi vertices: 2 Number of non-simplicial Voronoi vertices: 2 Statistics for: rbox "D5 c P2" | qhull v Number of points processed: 33 Number of hyperplanes created: 87 Number of facets in hull: 11 Number of distance tests for qhull: 826 Number of distance tests for merging: 3868 Number of distance tests for checking: 363 Number of merged facets: 296 CPU seconds to compute hull (after input): 0.001066 Voronoi vertices and regions for 'qhull v' via C++ classes 5 3 33 1 -10.101 -10.101 -10.101 -10.101 -10.101 -2.77556e-17 -2.77556e-17 -2.77556e-17 2.77556e-17 2.77556e-17 0.916667 -2.77556e-17 -2.77556e-17 -2.77556e-17 2.77556e-17 2 0 2 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 Results of o 5 3 33 1 -10.101 -10.101 -10.101 -10.101 -10.101 -2.775557561562891e-17 -2.775557561562891e-17 -2.775557561562891e-17 2.775557561562891e-17 2.775557561562891e-17 0.9166666666666666 -2.775557561562891e-17 -2.775557561562891e-17 -2.775557561562891e-17 2.775557561562891e-17 2 0 2 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 user_eg3 rbox '10 D2' eg-fifo rbox 10 D2 Voronoi vertices for rbox "10 D2" via QhullUser and qh_fprintf 2 14 -0.129438 -0.0724741 0.0826769 -0.239764 0.129526 1.71603 0.174036 0.531752 0.185142 0.388255 -0.906594 -0.296296 -0.195481 -0.0711189 -0.140758 0.723386 -0.16763 0.208062 0.0586831 0.0663207 0.0880634 0.105408 0.476159 -0.0316837 3.09421 -0.0647219 0.541052 0.211562 10 5 6 0 1 -1 5 4 7 2 -1 5 3 13 4 10 4 8 3 2 7 6 13 4 3 2 -1 12 4 8 6 5 7 5 13 10 9 11 12 7 10 4 3 8 6 0 9 4 12 -1 1 11 4 11 1 0 9 Hyperplanes for bounded facets between Voronoi regions via QhullUser and qh_fprintf 19 5 0 5 -0.301881 0.953346 0.00878913 5 0 7 0.0205153 0.99979 0.0751143 5 0 9 0.619259 0.785187 0.137061 5 1 5 0.799595 -0.600539 0.546971 5 1 3 0.964872 -0.262721 0.325862 5 2 6 0.22816 -0.973624 0.0825353 5 2 4 0.444671 0.895694 -0.430084 5 2 7 -0.945841 0.32463 0.0490754 5 3 5 -0.998643 0.0520745 -0.178237 5 3 7 0.687752 -0.725945 0.26633 5 3 4 0.999294 0.037557 -0.193884 5 4 6 -0.107584 -0.994196 0.268542 5 4 7 -0.997018 -0.0771644 0.214549 5 5 7 0.995061 -0.0992661 0.187455 5 6 7 -0.799364 0.600847 0.00706064 5 6 9 -0.228542 -0.973534 0.077977 5 6 8 -0.0126184 -0.99992 -0.0256728 5 7 9 0.593695 -0.80469 0.0185277 5 8 9 -0.467479 0.884004 0.250603 Hyperplanes for unbounded facets between Voronoi regions via QhullUser and qh_fprintf 4 5 0 8 0.719063 0.694945 0.107173 5 0 1 -0.385496 0.92271 -0.076093 5 1 4 0.992921 -0.118775 0.0752121 5 4 8 -0.0664014 -0.997793 0.140881 Message codes captured by qh_fprintf in QhullUser.cpp (qhull v Fo Ta): 9231 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 user_eg3 rbox D2 10 qhull v eg-fifo p Fi Fo rbox D2 rbox 10 Results of v Voronoi diagram by the convex hull of 10 points in 3-d: Number of Voronoi regions: 10 Number of Voronoi vertices: 14 Statistics for: rbox "10 D2" | qhull v Number of points processed: 10 Number of hyperplanes created: 28 Number of facets in hull: 16 Number of distance tests for qhull: 47 CPU seconds to compute hull (after input): 5.1e-05 Voronoi vertices for 'qhull v' via C++ classes 2 14 -0.129438 -0.0724741 0.0826769 -0.239764 0.129526 1.71603 0.174036 0.531752 0.185142 0.388255 -0.906594 -0.296296 -0.195481 -0.0711189 -0.140758 0.723386 -0.16763 0.208062 0.0586831 0.0663207 0.0880634 0.105408 0.476159 -0.0316837 3.09421 -0.0647219 0.541052 0.211562 10 5 6 0 1 -1 5 4 7 2 -1 5 3 13 4 10 4 8 3 2 7 6 13 4 3 2 -1 12 4 8 6 5 7 5 13 10 9 11 12 7 10 4 3 8 6 0 9 4 12 -1 1 11 4 11 1 0 9 Hyperplanes for bounded facets between Voronoi regions via QhullUser and qh_fprintf 19 5 0 5 -0.301881 0.953346 0.00878913 5 0 7 0.0205153 0.99979 0.0751143 5 0 9 0.619259 0.785187 0.137061 5 1 5 0.799595 -0.600539 0.546971 5 1 3 0.964872 -0.262721 0.325862 5 2 6 0.22816 -0.973624 0.0825353 5 2 4 0.444671 0.895694 -0.430084 5 2 7 -0.945841 0.32463 0.0490754 5 3 5 -0.998643 0.0520745 -0.178237 5 3 7 0.687752 -0.725945 0.26633 5 3 4 0.999294 0.037557 -0.193884 5 4 6 -0.107584 -0.994196 0.268542 5 4 7 -0.997018 -0.0771644 0.214549 5 5 7 0.995061 -0.0992661 0.187455 5 6 7 -0.799364 0.600847 0.00706064 5 6 9 -0.228542 -0.973534 0.077977 5 6 8 -0.0126184 -0.99992 -0.0256728 5 7 9 0.593695 -0.80469 0.0185277 5 8 9 -0.467479 0.884004 0.250603 Hyperplanes for unbounded facets between Voronoi regions via QhullUser and qh_fprintf 4 5 0 8 0.719063 0.694945 0.107173 5 0 1 -0.385496 0.92271 -0.076093 5 1 4 0.992921 -0.118775 0.0752121 5 4 8 -0.0664014 -0.997793 0.140881 Message codes captured by qh_fprintf in QhullUser.cpp (qhull v Fo Ta): 9231 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 9271 9272 9272 9273 9274 Results of p 2 14 -0.1294381801544404 -0.0724740910198471 0.08267689532419764 -0.2397644955865706 0.1295260566906467 1.716033573116839 0.1740355150742391 0.5317519038435656 0.1851415205797576 0.3882545794457364 -0.9065939866848108 -0.2962957610652137 -0.1954805620516264 -0.07111892482963192 -0.1407581310832469 0.7233857048236081 -0.1676297826663961 0.2080621273999385 0.05868313821742964 0.06632066014880163 0.08806341399736983 0.1054080604689984 0.4761588899009252 -0.03168366595227296 3.094213357897477 -0.06472194567768201 0.5410515627308723 0.211561543495592 Results of Fi 19 5 0 5 -0.3018806392032148 0.9533457293522944 0.008789126238507743 5 0 7 0.02051532578114152 0.9997895385570373 0.07511430445246009 5 0 9 0.619259133056969 0.7851866823409139 0.1370614663104577 5 1 5 0.7995952824356684 -0.6005392446015696 0.5469710423089693 5 1 3 0.9648718030091262 -0.2627211520946077 0.3258622775065155 5 2 6 0.2281595097543264 -0.9736237661995856 0.08253528745668771 5 2 4 0.4446710312325423 0.895693962234081 -0.4300843534994402 5 2 7 -0.9458410914974846 0.3246299888101019 0.04907537812572164 5 3 5 -0.9986432053419565 0.05207445078292231 -0.1782370644858235 5 3 7 0.6877523324625964 -0.7259454037269322 0.2663295190946448 5 3 4 0.9992944873266901 0.03755699133966527 -0.1938837324602516 5 4 6 -0.1075842248297359 -0.9941959739245502 0.2685422477498993 5 4 7 -0.9970183790688238 -0.07716444646969951 0.2145489484590234 5 5 7 0.995060920624513 -0.09926612839179708 0.1874553677160639 5 6 7 -0.799364184215508 0.6008468199079324 0.00706064116377934 5 6 9 -0.2285415587894346 -0.9735341575446109 0.07797696388863325 5 6 8 -0.01261839651625044 -0.9999203848653946 -0.02567278177543587 5 7 9 0.593695288592636 -0.8046899429612047 0.01852766555277019 5 8 9 -0.4674785097727935 0.8840044360186254 0.2506025495170938 Results of Fo 4 5 0 8 0.7190625207842074 0.6949453872092838 0.1071733734620183 5 0 1 -0.3854955578888161 0.922709691532494 -0.07609298438083824 5 1 4 0.9929212365203526 -0.1187746524595787 0.07521211888503938 5 4 8 -0.06640144810487485 -0.9977929883946747 0.1408811441173877 set +v === check front ends and examples Tue Nov 24 06:55:02 UTC 2020 ================== qconvex - qconvex -- compute the convex hull http://www.qhull.org 2020.2.r 2020/08/31 input (stdin): first lines: dimension and number of points (or vice-versa). other lines: point coordinates, best if one point per line comments: start with a non-numeric character options: Qc - keep coplanar points with nearest facet Qi - keep interior points with nearest facet QJ - joggled input instead of merged facets Qt - triangulated output Qhull control options: Qa - allow input with fewer or more points than coordinates Qbk:n - scale coord k so that low bound is n QBk:n - scale coord k so that upper bound is n (QBk is 0.5) QbB - scale input to unit cube centered at the origin Qbk:0Bk:0 - remove k-th coordinate from input QJn - randomly joggle input in range [-n,n] QRn - random rotation (n=seed, n=0 time, n=-1 time/no rotate) Qs - search all points for the initial simplex Qhull extra options: QGn - good facet if visible from point n, -n for not visible QVn - good facet if it includes point n, -n if not Qw - allow option warnings Q12 - allow wide facets and wide dupridge Q14 - merge pinched vertices that create a dupridge T options: TFn - report summary when n or more facets created TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes Ts - statistics Tv - verify result: structure, convexity, and in-circle test Tz - send all output to stdout Trace options: T4 - trace at level n, 4=all, 5=mem/gauss, -1= events Ta - annotate output with message codes TAn - stop qhull after adding n vertices TCn - stop qhull after building cone for point n TVn - stop qhull after adding point n, -n for before Tc - check frequently during execution Tf - flush each qh_fprintf for debugging segfaults TPn - turn on tracing when point n added to hull TMn - turn on tracing at merge n TWn - trace merge facets when width > n Precision options: Cn - radius of centrum (roundoff added). Merge facets if non-convex An - cosine of maximum angle. Merge facets if cosine > n or non-convex C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge Rn - randomly perturb computations by a factor of [1-n,1+n] Un - max distance below plane for a new, coplanar point Wn - min facet width for outside point (before roundoff) Output formats (may be combined; if none, produces a summary to stdout): f - facet dump G - Geomview output (see below) i - vertices incident to each facet m - Mathematica output (2-d and 3-d) n - normals with offsets o - OFF file format (dim, points and facets) p - point coordinates s - summary (stderr) More formats: Fa - area for each facet FA - compute total area and volume for option 's' Fc - count plus coplanar points for each facet use 'Qc' (default) for coplanar and 'Qi' for interior FC - centrum for each facet Fd - use cdd format for input (homogeneous with offset first) FD - use cdd format for numeric output (offset first) FF - facet dump without ridges Fi - inner plane for each facet FI - ID for each facet Fm - merge count for each facet (511 max) FM - Maple output (2-d and 3-d) Fn - count plus neighboring facets for each facet FN - count plus neighboring facets for each point Fo - outer plane (or max_outside) for each facet FO - options and precision constants FP - nearest vertex for each coplanar point FQ - command used for qconvex Fs - summary: #int (8), dimension, #points, tot vertices, tot facets, output: #vertices, #facets, #coplanars, #nonsimplicial #real (2), max outer plane, min vertex FS - sizes: #int (0) #real (2) tot area, tot volume Ft - triangulation with centrums for non-simplicial facets (OFF format) Fv - count plus vertices for each facet FV - average of vertices (a feasible point for 'H') Fx - extreme points (in order for 2-d) Geomview output (2-d, 3-d, and 4-d) Ga - all points as dots Gp - coplanar points and vertices as radii Gv - vertices as spheres Gc - centrums GDn - drop dimension n in 3-d and 4-d output Gh - hyperplane intersections Gi - inner planes only Gn - no planes Go - outer planes only Gr - ridges Print options: PAn - keep n largest facets by area Pdk:n - drop facet if normal[k] <= n (default 0.0) PDk:n - drop facet if normal[k] >= n PFn - keep facets whose area is at least n Pg - print good facets (needs 'QGn' or 'QVn') PG - print neighbors of good facets PMn - keep n facets with most merges Po - force output. If error, output neighborhood of facet Pp - do not report precision problems . - list of all options - - one line descriptions of all options -? - help with examples -V - version qconvex . Qhull 2020.2.r 2020/08/31 Except for 'F.' and 'PG', upper-case options take an argument. facet-dump Geomview incidences mathematica normals off-format points summary Farea FArea-total Fcoplanars FCentrums Fd-cdd-in FD-cdd-out FFacets-xridge Finner FIDs Fmerges FMaple Fneighbors FNeigh-vertex Fouter FOptions FPoint-near FQhull Fsummary FSize Ftriangles Fvertices FVertex-ave Fxtremes Gall-points Gcentrums GDrop-dim Ghyperplanes Ginner Gno-planes Gouter Gpoints Gridges Gvertices PArea-keep Pdrop-d0:0D0 PFacet-area-keep Pgood PGood-neighbors PMerge-keep Poutput-forced Pprecision-not Qallow-short QbBound-0:0.5 QbB-scale-box Qcoplanar QGood-point Qinterior QJoggle QRotate Qsearch-all Qtriangulate QVertex-good Qwarn-allow Q12-allow-wide Q14-merge-pinched TFacet-log TInput-file TOutput-file Tstatistics Tverify Tz-stdout T4-trace Tannotate TAdd-stop Tcheck-often TCone-stop Tflush TMerge-trace TPoint-trace TVertex-stop TWide-trace Angle-max Centrum-size Random-dist Ucoplanar-max Wide-outside qconvex -? # [mar'19] isatty does not work for Git for Windows qconvex -- compute the convex hull. Qhull 2020.2.r 2020/08/31 input (stdin): dimension, number of points, point coordinates comments start with a non-numeric character options (qconvex.htm): Qt - triangulated output QJ - joggled input instead of merged facets Tv - verify result: structure, convexity, and point inclusion . - concise list of all options - - one-line description of each option -? - this message -V - version output options (subset): s - summary of results (default) i - vertices incident to each facet n - normals with offsets p - vertex coordinates (if 'Qc', includes coplanar points) FA - report total area and volume FS - total area and volume Fx - extreme points (convex hull vertices) G - Geomview output (2-d, 3-d, and 4-d) m - Mathematica output (2-d and 3-d) o - OFF format (dim, n, points, facets) QVn - print facets that include point n, -n if not TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes examples: rbox c D2 | qconvex s n rbox c D2 | qconvex i rbox c D2 | qconvex o rbox 1000 s | qconvex s Tv FA rbox c d D2 | qconvex s Qc Fx rbox y 1000 W0 | qconvex Qc s n rbox y 1000 W0 | qconvex s QJ rbox d G1 D12 | qconvex QR0 FA Pp rbox c D7 | qconvex FA TF1000 rbox c D3 | qconvex s n Qt Convex hull of 8 points in 3-d: Number of vertices: 8 Number of facets: 12 Number of triangulated facets: 6 Statistics for: rbox c D3 | qconvex s n Qt Number of points processed: 8 Number of hyperplanes created: 11 Number of distance tests for qhull: 34 Number of distance tests for merging: 90 Number of distance tests for checking: 48 Number of merged facets: 6 CPU seconds to compute hull (after input): 8.2e-05 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): 3.3e-05 4 0 2 1 0 2 3 3 1 rbox c D2 | qconvex s n Convex hull of 4 points in 2-d: Number of vertices: 4 Number of facets: 4 Statistics for: rbox c D2 | qconvex s n Number of points processed: 4 Number of hyperplanes created: 6 Number of distance tests for qhull: 5 CPU seconds to compute hull (after input): 3.2e-05 3 4 -0 -1 -0.5 -1 0 -0.5 1 -0 -0.5 0 1 -0.5 rbox c D2 | qconvex o 2 4 4 4 -0.5 -0.5 -0.5 0.5 0.5 -0.5 0.5 0.5 2 0 2 2 1 0 2 2 3 2 3 1 rbox 1000 s | qconvex s Tv FA Convex hull of 1000 points in 3-d: Number of vertices: 1000 Number of facets: 1996 Statistics for: rbox 1000 s | qconvex s Tv FA Number of points processed: 1000 Number of hyperplanes created: 5544 Number of distance tests for qhull: 25487 CPU seconds to compute hull (after input): 0.004616 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): 3.3e-05 4 0 2 3 1 rbox y 1000 W0 | qconvex Qc s n Convex hull of 1004 points in 3-d: Number of vertices: 4 Number of coplanar points: 1000 Number of facets: 4 Statistics for: rbox y 1000 W0 | qconvex Qc s n Number of points processed: 4 Number of hyperplanes created: 4 Number of distance tests for qhull: 11000 CPU seconds to compute hull (after input): 0.000472 4 4 0.2135848119563837 0.1168704340428168 0.9699086708284446 -0.09806074564261894 0.08553875579270347 -0.8316435307282576 -0.5486822022403077 -0.1234144150397865 -0.749541668500822 -0.02779445272382573 -0.6613733859014791 -0.2159556159595279 0.3120013537900507 0.9498158823230658 -0.02247097950761912 -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): 0.000382 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 QR1606200902 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): 0.03305 Approximate facet area: 0.00035546337 Approximate volume: 8.5511197e-06 rbox c D6 | qconvex s FA TF500 At 06:55:02 & 0.001292 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 06:55:02 & 0.002501 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 06:55:02 & 0.003601 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 06:55:02 & 0.004261 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 06:55:02 & 0.004431 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): 0.00449 Approximate facet area: 12 Approximate volume: 1 rbox c D7 | qconvex s FA TF1000 At 06:55:02 & 0.002665 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 06:55:02 & 0.005785 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 06:55:02 & 0.009165 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 06:55:02 & 0.012214 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 06:55:02 & 0.015615 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 06:55:02 & 0.018998 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 06:55:02 & 0.02295 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 06:55:02 & 0.026655 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 06:55:02 & 0.03043 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 06:55:02 & 0.034454 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 06:55:02 & 0.038104 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 06:55:02 & 0.04116 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 06:55:02 & 0.04166 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): 0.04178 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 QR1606200902 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): 0.03223 Approximate facet area: 0.00035546337 Approximate volume: 8.5511197e-06 rbox c P0 d D2 | qconvex p Fa Fc FP FI Fn FN FS Fv Fx 2 8 -0.5 -0.5 -0.5 0.5 0.5 -0.5 0.5 0.5 0 -0.5 0 0.5 -0.5 0 0.5 0 4 1 1 1 1 4 1 5 1 7 1 8 1 6 4 3 5 1 0.5 2 7 2 0.5 4 8 4 0.5 4 6 5 0.5 4 1 2 4 5 4 2 1 2 2 0 3 2 0 3 2 1 2 9 0 2 0 1 2 1 3 2 2 0 2 3 2 1 0 1 3 1 1 1 2 0 2 4 1 4 2 3 1 2 2 1 2 4 3 2 4 2 4 1 3 4 2 rbox c d D2 | qconvex s i QV0 Convex hull of 8 points in 2-d: Number of vertices: 4 Number of facets: 4 Number of 'good' facets: 2 Statistics for: rbox c d D2 | qconvex s i QV0 Number of points processed: 4 Number of hyperplanes created: 6 Number of distance tests for qhull: 35 CPU seconds to compute hull (after input): 0.000126 2 0 2 1 0 rbox c | qconvex Q0 QH6029 qhull option error: option 'Q0' is not used with this program. It may be used with qhull. While executing: | qconvex Q0 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549117124 _maxoutside 0 qvoronoi - qvoronoi -- compute the Voronoi diagram http://www.qhull.org 2020.2.r 2020/08/31 input (stdin): first lines: dimension and number of points (or vice-versa). other lines: point coordinates, best if one point per line comments: start with a non-numeric character options: Qu - compute furthest-site Voronoi diagram Qhull control options: Qa - allow input with fewer or more points than coordinates QRn - random rotation (n=seed, n=0 time, n=-1 time/no rotate) Qs - search all points for the initial simplex Qz - add point-at-infinity to Voronoi diagram Qhull extra options: QGn - Voronoi vertices if visible from point n, -n if not QVn - Voronoi vertices for input point n, -n if not Qw - allow option warnings Q12 - allow wide facets and wide dupridge Q14 - merge pinched vertices that create a dupridge T options: TFn - report summary when n or more facets created TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes Ts - statistics Tv - verify result: structure, convexity, and in-circle test Tz - send all output to stdout Trace options: T4 - trace at level n, 4=all, 5=mem/gauss, -1= events Ta - annotate output with message codes TAn - stop qhull after adding n vertices TCn - stop qhull after building cone for point n TVn - stop qhull after adding point n, -n for before Tc - check frequently during execution Tf - flush each qh_fprintf for debugging segfaults TPn - turn on tracing when point n added to hull TMn - turn on tracing at merge n TWn - trace merge facets when width > n Precision options: Cn - radius of centrum (roundoff added). Merge facets if non-convex An - cosine of maximum angle. Merge facets if cosine > n or non-convex C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge Rn - randomly perturb computations by a factor of [1-n,1+n] Wn - min facet width for non-coincident point (before roundoff) Output formats (may be combined; if none, summary to stdout): p - Voronoi vertices s - summary to stderr f - facet dump i - Delaunay regions (use 'Pp' to avoid warning) o - OFF format (dim, Voronoi vertices, and Voronoi regions) More formats: Fc - count plus coincident points (by Voronoi vertex) Fd - use cdd format for input (homogeneous with offset first) FD - use cdd format for output (offset first) FF - facet dump without ridges Fi - separating hyperplanes for bounded Voronoi regions FI - ID for each Voronoi vertex Fm - merge count for each Voronoi vertex (511 max) Fn - count plus neighboring Voronoi vertices for each Voronoi vertex FN - count and Voronoi vertices for each Voronoi region Fo - separating hyperplanes for unbounded Voronoi regions FO - options and precision constants FP - nearest point and distance for each coincident point FQ - command used for qvoronoi Fs - summary: #int (8), dimension, #points, tot vertices, tot facets, for output: #Voronoi regions, #Voronoi vertices, #coincident points, #non-simplicial regions #real (2), max outer plane and min vertex Fv - Voronoi diagram as Voronoi vertices between adjacent input sites Fx - extreme points of Delaunay triangulation (on convex hull) Geomview output (2-d only) Ga - all points as dots Gp - coplanar points and vertices as radii Gv - vertices as spheres Gc - centrums GDn - drop dimension n in 3-d and 4-d output Gh - hyperplane intersections Gi - inner planes only Gn - no planes Go - outer planes only Gr - ridges Print options: PAn - keep n largest Voronoi vertices by 'area' Pdk:n - drop facet if normal[k] <= n (default 0.0) PDk:n - drop facet if normal[k] >= n PFn - keep Voronoi vertices whose 'area' is at least n Pg - print good Voronoi vertices (needs 'QGn' or 'QVn') PG - print neighbors of good Voronoi vertices PMn - keep n Voronoi vertices with most merges Po - force output. If error, output neighborhood of facet Pp - do not report precision problems . - list of all options - - one line descriptions of all options -? - help with examples -V - version qvoronoi . Qhull 2020.2.r 2020/08/31 Except for 'F.' and 'PG', upper-case options take an argument. facet-dump Geomview i-delaunay off-format p-vertices summary Fcoincident Fd-cdd-in FD-cdd-out FF-dump-xridge Fi-bounded FIDs Fmerges Fneighbors FNeigh-region Fo-unbounded FOptions FPoint-near FQvoronoi Fsummary Fvoronoi Fxtremes Gall-points Gcentrums GDrop-dim Ghyperplanes Ginner Gno-planes Gouter Gpoints Gridges Gvertices PArea-keep Pdrop-d0:0D0 PFacet-area-keep Pgood PGood-neighbors PMerge-keep Poutput-forced Pprecision-not Qallow-short QG-vertex-good QRotate Qsearch-all Qupper-voronoi QV-point-good Qwarn-allow Qzinfinite Q12-allow-wide Q14-merge-pinched TFacet-log TInput-file TOutput-file Tstatistics Tverify Tz-stdout T4-trace Tannotate TAdd-stop Tcheck-often TCone-stop Tflush TMerge-trace TPoint-trace TVertex-stop TWide-trace Angle-max Centrum-size Random-dist Wide-outside qvoronoi -? # [mar'19] isatty does not work for Git for Windows qvoronoi -- compute the Voronoi diagram. Qhull 2020.2.r 2020/08/31 input (stdin): dimension, number of points, point coordinates comments start with a non-numeric character options (qvoronoi.htm): Qu - compute furthest-site Voronoi diagram Tv - verify result: structure, convexity, and in-circle test . - concise list of all options - - one-line description of all options -? - this message -V - version output options (subset): Fi - separating hyperplanes for bounded regions, 'Fo' for unbounded FN - count and Voronoi vertices for each Voronoi region Fv - Voronoi diagram as Voronoi vertices between adjacent input sites G - Geomview output (2-d only) o - OFF file format (dim, Voronoi vertices, and Voronoi regions) p - Voronoi vertices QVn - Voronoi vertices for input point n, -n if not s - summary of results (default) TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes examples: rbox c P0 D2 | qvoronoi s o rbox c P0 D2 | qvoronoi Fi rbox c P0 D2 | qvoronoi Fo rbox c P0 D2 | qvoronoi Fv rbox c P0 D2 | qvoronoi s Qu Fv rbox c P0 D2 | qvoronoi Qu Fo rbox c G1 d D2 | qvoronoi s p rbox c P0 D2 | qvoronoi s Fv QV0 rbox c P0 D2 | qvoronoi s o Voronoi diagram by the convex hull of 5 points in 3-d: Number of Voronoi regions: 5 Number of Voronoi vertices: 4 Statistics for: rbox c P0 D2 | qvoronoi s o Number of points processed: 5 Number of hyperplanes created: 6 Number of facets in hull: 5 Number of distance tests for qhull: 7 Number of distance tests for merging: 34 Number of distance tests for checking: 25 Number of merged facets: 1 CPU seconds to compute hull (after input): 0.000132 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): 4.4e-05 4 4 1 2 0 1 4 1 3 0 1 4 2 4 0 1 4 3 4 0 1 rbox c P0 D2 | qvoronoi s Qu Qt Fv Furthest-site Voronoi vertices by the convex hull of 5 points in 3-d: Number of Voronoi regions: 5 Number of Voronoi vertices: 2 Number of triangulated facets: 1 Statistics for: rbox c P0 D2 | qvoronoi s Qu Qt Fv Number of points processed: 5 Number of hyperplanes created: 6 Number of facets in hull: 6 Number of distance tests for qhull: 7 Number of distance tests for merging: 34 Number of distance tests for checking: 25 Number of merged facets: 1 CPU seconds to compute hull (after input): 5.4e-05 4 4 1 3 0 2 4 1 2 0 1 4 2 4 0 1 4 3 4 0 2 rbox c P0 D2 | qvoronoi Qu Fo 4 5 1 2 -0 1 0 5 1 3 1 -0 -0 5 2 4 1 -0 -0 5 3 4 -0 1 -0 rbox c G1 d D2 | qvoronoi s p Voronoi diagram by the convex hull of 8 points in 3-d: Number of Voronoi regions: 8 Number of Voronoi vertices: 9 Number of non-simplicial Voronoi vertices: 1 Statistics for: rbox c G1 d D2 | qvoronoi s p Number of points processed: 8 Number of hyperplanes created: 16 Number of facets in hull: 10 Number of distance tests for qhull: 41 Number of distance tests for merging: 108 Number of distance tests for checking: 72 Number of merged facets: 3 CPU seconds to compute hull (after input): 0.000107 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 -2.572764224713354e-11 1.749999999802917 -2.054642921858118e-11 -1.750000000331277 0.5833333333083517 -0.5833333333052267 1.8622547950405e-11 -7.81505244472421e-11 1.750000000002628 3.498104911169289e-11 0.5833333333132079 0.5833333333796982 -0.5833333332888888 0.5833333333317835 -7.592293460940321e-11 -7.815050692950723e-11 -1.750000000049026 2.293192715479956e-11 -0.5833333333977309 -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): 5.4e-05 4 0 0 0 1 1 1 2 1 7 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 3 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): 5.4e-05 4 4 0 3 1 3 4 0 1 1 2 4 0 2 2 4 4 0 4 3 4 qdelaunay - qdelaunay -- compute the Delaunay triangulation http://www.qhull.org 2020.2.r 2020/08/31 input (stdin): first lines: dimension and number of points (or vice-versa). other lines: point coordinates, best if one point per line comments: start with a non-numeric character options: QJ - joggled input instead of merged facets Qt - triangulated output Qu - compute furthest-site Delaunay triangulation Qhull control options: Qa - allow input with fewer or more points than coordinates QJn - randomly joggle input in range [-n,n] QRn - random rotation (n=seed, n=0 time, n=-1 time/no rotate) Qs - search all points for the initial simplex Qz - add point-at-infinity to Delaunay triangulation Qhull extra options: QGn - print Delaunay region if visible from point n, -n if not QVn - print Delaunay regions that include point n, -n if not Qw - allow option warnings Q12 - allow wide facets and wide dupridge Q14 - merge pinched vertices that create a dupridge T options: TFn - report summary when n or more facets created TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes Ts - statistics Tv - verify result: structure, convexity, and in-circle test Tz - send all output to stdout Trace options: T4 - trace at level n, 4=all, 5=mem/gauss, -1= events Ta - annotate output with message codes TAn - stop qhull after adding n vertices TCn - stop qhull after building cone for point n TVn - stop qhull after adding point n, -n for before Tc - check frequently during execution Tf - flush each qh_fprintf for debugging segfaults TPn - turn on tracing when point n added to hull TMn - turn on tracing at merge n TWn - trace merge facets when width > n Precision options: Cn - radius of centrum (roundoff added). Merge facets if non-convex An - cosine of maximum angle. Merge facets if cosine > n or non-convex C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge Rn - randomly perturb computations by a factor of [1-n,1+n] Wn - min facet width for outside point (before roundoff) Output formats (may be combined; if none, produces a summary to stdout): f - facet dump G - Geomview output (see below) i - vertices incident to each Delaunay region m - Mathematica output (2-d only, lifted to a paraboloid) o - OFF format (dim, points, and facets as a paraboloid) p - point coordinates (lifted to a paraboloid) s - summary (stderr) More formats: Fa - area for each Delaunay region FA - compute total area for option 's' Fc - count plus coincident points for each Delaunay region Fd - use cdd format for input (homogeneous with offset first) FD - use cdd format for numeric output (offset first) FF - facet dump without ridges FI - ID of each Delaunay region Fm - merge count for each Delaunay region (511 max) FM - Maple output (2-d only, lifted to a paraboloid) Fn - count plus neighboring region for each Delaunay region FN - count plus neighboring region for each point FO - options and precision constants FP - nearest point and distance for each coincident point FQ - command used for qdelaunay Fs - summary: #int (8), dimension, #points, tot vertices, tot facets, output: #vertices, #Delaunay regions, #coincident points, #non-simplicial regions #real (2), max outer plane, min vertex FS - sizes: #int (0) #real (2), tot area, 0 Fv - count plus vertices for each Delaunay region Fx - extreme points of Delaunay triangulation (on convex hull) Geomview output (2-d and 3-d points lifted to a paraboloid) Ga - all points as dots Gp - coplanar points and vertices as radii Gv - vertices as spheres Gc - centrums GDn - drop dimension n in 3-d and 4-d output Gh - hyperplane intersections Gi - inner planes only Gn - no planes Go - outer planes only Gr - ridges Gt - transparent outer ridges to view 3-d Delaunay Print options: PAn - keep n largest Delaunay regions by area Pdk:n - drop facet if normal[k] <= n (default 0.0) PDk:n - drop facet if normal[k] >= n PFn - keep Delaunay regions whose area is at least n Pg - print good Delaunay regions (needs 'QGn' or 'QVn') PG - print neighbors of good regions (needs 'QGn' or 'QVn') PMn - keep n Delaunay regions with most merges Po - force output. If error, output neighborhood of facet Pp - do not report precision problems . - list of all options - - one line descriptions of all options -? - help with examples -V - version qdelaunay . Qhull 2020.2.r 2020/08/31 Except for 'F.' and 'PG', upper-case options take an argument. facet-dump Geomview incidences mathematica off-format points-lifted summary Farea FArea-total Fcoincident Fd-cdd-in FD-cdd-out FF-dump-xridge FIDs Fmerges FMaple Fneighbors FNeigh-vertex FOptions FPoint-near FQdelaun Fsummary FSize Fvertices Fxtremes Gall-points Gcentrums GDrop-dim Ghyperplanes Ginner Gno-planes Gouter Gpoints Gridges Gtransparent Gvertices PArea-keep Pdrop-d0:0D0 PFacet-area-keep Pgood PGood-neighbors PMerge-keep Poutput-forced Pprecision-not Qallow-short QGood-point QJoggle Qrotate Qsearch-all Qtriangulate QupperDelaunay QVertex-good Qwarn-allow Qzinfinite Q12-allow-wide Q14-merge-pinched TFacet-log TInput-file TOutput-file Tstatistics Tverify Tz-stdout T4-trace Tannotate TAdd-stop Tcheck-often TCone-stop Tflush TMerge-trace TPoint-trace TVertex-stop TWide-trace Angle-max Centrum-size Random-dist Wide-outside qdelaunay -? # [mar'19] isatty does not work for Git for Windows qdelaunay -- compute the Delaunay triangulation. Qhull 2020.2.r 2020/08/31 input (stdin): dimension, number of points, point coordinates comments start with a non-numeric character options (qdelaun.htm): Qu - furthest-site Delaunay triangulation Qt - triangulated output QJ - joggled input instead of merged facets Tv - verify result: structure, convexity, and in-circle test . - concise list of all options - - one-line description of each option -? - this message -V - version output options (subset): s - summary of results (default) i - vertices incident to each Delaunay region Fx - extreme points (vertices of the convex hull) G - Geomview output (2-d and 3-d points lifted to a paraboloid) m - Mathematica output (2-d inputs lifted to a paraboloid) o - OFF format (shows the points lifted to a paraboloid) QVn - print Delaunay regions that include point n, -n if not TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes examples: rbox c P0 D2 | qdelaunay s o rbox c P0 D2 | qdelaunay i rbox c P0 D2 | qdelaunay Fv rbox c P0 D2 | qdelaunay s Qu Fv rbox c G1 d D2 | qdelaunay s i rbox c G1 d D2 | qdelaunay Qt rbox M3,4 z 100 D2 | qdelaunay s rbox M3,4 z 100 D2 | qdelaunay s Qt rbox c P0 D2 | qdelaunay s o Delaunay triangulation by the convex hull of 5 points in 3-d: Number of input sites: 5 Number of Delaunay regions: 4 Statistics for: rbox c P0 D2 | qdelaunay s o Number of points processed: 5 Number of hyperplanes created: 6 Number of facets in hull: 5 Number of distance tests for qhull: 7 Number of distance tests for merging: 34 Number of distance tests for checking: 25 Number of merged facets: 1 CPU seconds to compute hull (after input): 6.9e-05 3 5 4 6 0 0 0 -0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 0.5 0.5 0.5 0.5 3 3 0 1 3 0 2 1 3 4 0 3 3 0 4 2 rbox c P0 D2 | qdelaunay i 4 3 0 1 0 2 1 4 0 3 0 4 2 rbox c P0 D2 | qdelaunay Fv 4 3 0 3 1 3 0 2 1 3 4 0 3 3 4 0 2 rbox c P0 D2 | qdelaunay s Qu Qt Fv Furthest-site Delaunay triangulation by the convex hull of 5 points in 3-d: Number of input sites: 5 Number of Delaunay regions: 2 Number of triangulated facets: 1 Statistics for: rbox c P0 D2 | qdelaunay s Qu Qt Fv Number of points processed: 5 Number of hyperplanes created: 6 Number of facets in hull: 6 Number of distance tests for qhull: 7 Number of distance tests for merging: 34 Number of distance tests for checking: 25 Number of merged facets: 1 CPU seconds to compute hull (after input): 3.4e-05 2 3 4 2 1 3 4 3 1 rbox c G1 d D2 | qdelaunay s i Delaunay triangulation by the convex hull of 8 points in 3-d: Number of input sites: 8 Number of Delaunay regions: 9 Number of non-simplicial Delaunay regions: 1 Statistics for: rbox c G1 d D2 | qdelaunay s i Number of points processed: 8 Number of hyperplanes created: 16 Number of facets in hull: 10 Number of distance tests for qhull: 41 Number of distance tests for merging: 108 Number of distance tests for checking: 72 Number of merged facets: 3 CPU seconds to compute hull (after input): 5.5e-05 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): 4.1e-05 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 -1.373719891421591e-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: 257 Number of facets in hull: 86 Number of distance tests for qhull: 1731 Number of distance tests for merging: 2812 Number of distance tests for checking: 1248 Number of merged facets: 158 CPU seconds to compute hull (after input): 0.000797 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): 6.5e-05 Approximate facet area: 1 4 4 3 6 5 4 0.2 0.2 0.3 0.3 4 0 0 0 1 1 1 2 1 7 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 3 3 3 1 2 3 0 -1 2 3 3 -1 0 3 1 -1 2 3 1 -1 3 rbox P0 P0 c D2 | qdelaunay s FP QV0 Delaunay triangulation by the convex hull of 6 points in 3-d: Number of input sites: 5 Number of nearly incident points: 1 Number of 'good' Delaunay regions: 4 Statistics for: rbox P0 P0 c D2 | qdelaunay s FP QV0 Number of points processed: 5 Number of hyperplanes created: 6 Number of facets in hull: 5 Number of distance tests for qhull: 18 Number of distance tests for merging: 34 Number of distance tests for checking: 30 Number of merged facets: 1 CPU seconds to compute hull (after input): 9.3e-05 1 0 1 2 0 qhalf - qhalf -- compute the intersection of halfspaces about a point http://www.qhull.org 2020.2.r 2020/08/31 input (stdin): optional interior point: dimension, 1, coordinates first lines: dimension+1 and number of halfspaces other lines: halfspace coefficients followed by offset comments: start with a non-numeric character options: Hn,n - specify coordinates of interior point Qc - keep coplanar halfspaces Qi - keep other redundant halfspaces QJ - joggled input instead of merged facets Qt - triangulated output Qhull control options: Qa - allow input with fewer or more points than coordinates Qbk:0Bk:0 - remove k-th coordinate from input QJn - randomly joggle input in range [-n,n] QRn - random rotation (n=seed, n=0 time, n=-1 time/no rotate) Qs - search all halfspaces for the initial simplex Qhull extra options: QGn - print intersection if visible to halfspace n, -n for not QVn - print intersections for halfspace n, -n if not Qw - allow option warnings Q12 - allow wide facets and wide dupridge Q14 - merge pinched vertices that create a dupridge T options: TFn - report summary when n or more facets created TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes Ts - statistics Tv - verify result: structure, convexity, and in-circle test Tz - send all output to stdout Trace options: T4 - trace at level n, 4=all, 5=mem/gauss, -1= events Ta - annotate output with message codes TAn - stop qhull after adding n vertices TCn - stop qhull after building cone for point n TVn - stop qhull after adding point n, -n for before Tc - check frequently during execution Tf - flush each qh_fprintf for debugging segfaults TPn - turn on tracing when point n added to hull TMn - turn on tracing at merge n TWn - trace merge facets when width > n Precision options: Cn - radius of centrum (roundoff added). Merge facets if non-convex An - cosine of maximum angle. Merge facets if cosine > n or non-convex C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge Rn - randomly perturb computations by a factor of [1-n,1+n] Un - max distance below plane for a new, coplanar halfspace Wn - min facet width for outside halfspace (before roundoff) Output formats (may be combined; if none, produces a summary to stdout): f - facet dump G - Geomview output (dual convex hull) i - non-redundant halfspaces incident to each intersection m - Mathematica output (dual convex hull) o - OFF format (dual convex hull: dimension, points, and facets) p - vertex coordinates of dual convex hull (coplanars if 'Qc' or 'Qi') s - summary (stderr) More formats: Fc - count plus redundant halfspaces for each intersection - Qc (default) for coplanar and Qi for other redundant Fd - use cdd format for input (homogeneous with offset first) FF - facet dump without ridges FI - ID of each intersection Fm - merge count for each intersection (511 max) FM - Maple output (dual 2-d or 3-d convex hull) Fn - count plus neighboring intersections for each intersection FN - count plus intersections for each halfspace FO - options and precision constants Fp - dim, count, and intersection coordinates FP - nearest halfspace and distance for each redundant halfspace FQ - command used for qhalf Fs - summary: #int (8), dim, #halfspaces, #non-redundant, #intersections output: #non-redundant, #intersections, #coplanar halfspaces, #non-simplicial intersections #real (2), max outer plane, min vertex Fv - count plus non-redundant halfspaces for each intersection Fx - non-redundant halfspaces Geomview output (2-d, 3-d and 4-d; dual convex hull) Ga - all points (i.e., transformed halfspaces) as dots Gp - coplanar points and vertices as radii Gv - vertices (i.e., non-redundant halfspaces) as spheres Gc - centrums GDn - drop dimension n in 3-d and 4-d output Gh - hyperplane intersections Gi - inner planes (i.e., halfspace intersections) only Gn - no planes Go - outer planes only Gr - ridges Print options: PAn - keep n largest facets (i.e., intersections) by area Pdk:n- drop facet if normal[k] <= n (default 0.0) PDk:n- drop facet if normal[k] >= n PFn - keep facets whose area is at least n Pg - print good facets (needs 'QGn' or 'QVn') PG - print neighbors of good facets PMn - keep n facets with most merges Po - force output. If error, output neighborhood of facet Pp - do not report precision problems . - list of all options - - one line descriptions of all options -? - help with examples -V - version qhalf . Qhull 2020.2.r 2020/08/31 Except for 'F.' and 'PG', upper_case options take an argument. facet-dump Geomview H0,0-interior incidences mathematica off-format point-dual summary Fc-redundant Fd-cdd-in FF-dump-xridge FIDs Fmerges FMaple Fneighbors FN-intersect FOptions Fp-coordinates FP-nearest FQhalf Fsummary Fv-halfspace Fx-non-redundant Gall-points Gcentrums GDrop-dim Ghyperplanes Ginner Gno-planes Gouter Gpoints Gridges Gvertices PArea-keep Pdrop-d0:0D0 PFacet-area-keep Pgood PGood-neighbors PMerge-keep Poutput-forced Pprecision-not Qallow-short Qbk:0Bk:0-drop Qcoplanar QG-half-good Qi-redundant QJoggle QRotate Qsearch-all Qtriangulate QVertex-good Qwarn-allow Q12-allow-wide Q14-merge-pinched TFacet-log TInput-file TOutput-file Tstatistics Tverify Tz-stdout T4-trace Tannotate TAdd-stop Tcheck-often TCone-stop Tflush TMerge-trace TPoint-trace TVertex-stop TWide-trace Angle-max Centrum-size Random-dist Ucoplanar-max Wide-outside qhalf -? # [mar'19] isatty does not work for Git for Windows qhalf -- halfspace intersection about a point. Qhull 2020.2.r 2020/08/31 input (stdin): [dimension, 1, interior point] dimension+1, number of halfspaces, coefficients+offset comments start with a non-numeric character options (qhalf.htm): Hn,n - specify coordinates of interior point Qt - triangulated output QJ - joggled input instead of merged facets Tv - verify result: structure, convexity, and redundancy . - concise list of all options - - one-line description of each option -? - this message -V - version output options (subset): s - summary of results (default) Fp - intersection coordinates Fv - non-redundant halfspaces incident to each intersection Fx - non-redundant halfspaces G - Geomview output (dual convex hull) m - Mathematica output (dual convex hull) o - OFF file format (dual convex hull) QVn - print intersections for halfspace n, -n if not TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes examples: rbox d | qconvex FQ n | qhalf s H0,0,0 Fp rbox c | qconvex FQ FV n | qhalf s i rbox c | qconvex FQ FV n | qhalf s o rbox d | qhull FQ n | qhalf s Qt H0,0,0 Fp Halfspace intersection by the convex hull of 8 points in 3-d: Number of halfspaces: 8 Number of non-redundant halfspaces: 8 Number of intersection points: 12 Number of triangulated facets: 6 Statistics for: rbox d | qhull FQ n | qhalf s Qt H0,0,0 Fp Number of points processed: 8 Number of hyperplanes created: 11 Number of distance tests for qhull: 32 Number of distance tests for merging: 101 Number of distance tests for checking: 48 Number of merged facets: 7 CPU seconds to compute hull (after input): 6.6e-05 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): 4e-05 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): 4.4e-05 4 0 0 0 0 0 4 2 1 2 2 0 3 2 0 3 2 1 2 4 2 0 1 2 2 0 2 1 3 2 3 2 rbox d D2 | qhull FQ n | qhalf s H0 Fc FP Fn FN FQ Fv Fx 4 2 1 0 2 2 0 2 3 1 2 3 2 4 0 1 3 2 # qhull - printed at end qhull . Qhull 2020.2.r 2020/08/31 Except for 'F.' and 'PG', upper-case options take an argument. delaunay facet-dump Geomview H0,0-interior Halfspace incidences mathematica normals off-format points summary voronoi Farea FArea-total Fcoplanars FCentrums Fd-cdd-in FD-cdd-out FFacets-xridge Finner FIDs Fmerges FMaple Fneighbors FNeigh-vertex Fouter FOptions Fpoint-intersect FPoint-near FQhull Fsummary FSize Ftriangles Fvertices Fvoronoi FVertex-ave Fxtremes Gall-points Gcentrums GDrop-dim Ghyperplanes Ginner Gno-planes Gouter Gpoints Gridges Gtransparent Gvertices PArea-keep Pdrop-d0:0D0 PFacet-area-keep Pgood PGood-neighbors PMerge-keep Poutput-forced Pprecision-not Qallow-short QbBound-0:0.5 QbB-scale-box Qbb-scale-last Qbk:0Bk:0-drop Qcoplanar Qinterior QJoggle QRotate Qsearch-all Qtriangulate QupperDelaunay Qwarn-allow Qxact-merge Qzinfinite Qfurthest Qgood-only QGood-point Qmax-outside Qrandom Qvneighbors QVertex-good Q0-no-premerge Q1-angle-merge Q2-no-independ Q3-no-redundant Q4-no-old Q5-no-check-out Q6-no-concave Q7-depth-first Q8-no-near-in Q9-pick-furthest Q10-no-narrow Q11-trinormals Q12-allow-wide Q14-merge-pinched Q15-duplicates TFacet-log TInput-file TOutput-file Tstatistics Tverify Tz-stdout T4-trace Tannotate TAdd-stop Tcheck-often TCone-stop Tflush TMerge-trace TPoint-trace TRerun TVertex-stop TWide-trace Angle-max Centrum-size Error-round Random-dist Ucoplanar-max Visible-min Wide-outside qhull -? # [mar'19] isatty does not work for Git for Windows qhull -- compute convex hulls and related structures. Qhull 2020.2.r 2020/08/31 input (stdin): dimension, number of points, point coordinates comments start with a non-numeric character halfspace: use dim+1 and put offsets after coefficients options (qh-quick.htm): d - Delaunay triangulation by lifting points to a paraboloid d Qu - furthest-site Delaunay triangulation (upper convex hull) v - Voronoi diagram as the dual of the Delaunay triangulation v Qu - furthest-site Voronoi diagram H1,1 - Halfspace intersection about [1,1,0,...] via polar duality Qt - triangulated output QJ - joggled input instead of merged facets Tv - verify result: structure, convexity, and point inclusion . - concise list of all options - - one-line description of each option -? - this message -V - version Output options (subset): s - summary of results (default) i - vertices incident to each facet n - normals with offsets p - vertex coordinates (if 'Qc', includes coplanar points) if 'v', Voronoi vertices FA - report total area and volume Fp - halfspace intersections FS - total area and volume Fx - extreme points (convex hull vertices) G - Geomview output (2-d, 3-d and 4-d) m - Mathematica output (2-d and 3-d) o - OFF format (if 'v', outputs Voronoi regions) QVn - print facets that include point n, -n if not TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes examples: rbox D4 | qhull Tv rbox 1000 s | qhull Tv s FA rbox 10 D2 | qhull d QJ s i TO result rbox 10 D2 | qhull v Qbb Qt p rbox 10 D2 | qhull d Qu QJ m rbox 10 D2 | qhull v Qu QJ o rbox c d D2 | qhull Qc s f Fx | more rbox c | qhull FV n | qhull H Fp rbox d D12 | qhull QR0 FA rbox c D7 | qhull FA TF1000 rbox y 1000 W0 | qhull Qc rbox c | qhull n rbox 1000 s | qhull Tv s FA Convex hull of 1000 points in 3-d: Number of vertices: 1000 Number of facets: 1996 Statistics for: rbox 1000 s | qhull Tv s FA Number of points processed: 1000 Number of hyperplanes created: 5544 Number of distance tests for qhull: 25487 CPU seconds to compute hull (after input): 0.004656 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): 4.7e-05 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 -0.07247409101984716 0.08267689532419745 -0.2397644955865706 0.1295260566906465 1.716033573116837 0.1740355150742391 0.5317519038435655 0.1851415205797575 0.3882545794457363 -0.9065939866848109 -0.2962957610652137 -0.1954805620516266 -0.07111892482963182 -0.1407581310832468 0.7233857048236082 -0.1676297826663962 0.2080621273999377 0.05868313821742953 0.06632066014880154 0.08806341399736994 0.1054080604689985 0.4761588899009253 -0.03168366595227294 3.094213357897477 -0.06472194567768198 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 0.05349366577046775 -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): 3.3e-05 Vertices and facets: - p2(v2): 0.5 -0.5 - p0(v1): -0.5 -0.5 - p1(v3): -0.5 0.5 - p3(v4): 0.5 0.5 - f1 - flags: bottom simplicial - normal: -0 -1 - offset: -0.5 - coplanar set(furthest p4): p4: 0 -0.5 furthest distance= 0 - vertices: p2(v2) p0(v1) - neighboring facets: f2 f4 - f2 - flags: top simplicial - normal: -1 0 - offset: -0.5 - coplanar set(furthest p6): p6: -0.5 0 furthest distance= 0 - vertices: p1(v3) p0(v1) - neighboring facets: f1 f5 - f4 - flags: bottom simplicial - normal: 1 -0 - offset: -0.5 - coplanar set(furthest p7): p7: 0.5 0 furthest distance= 0 - vertices: p3(v4) p2(v2) - neighboring facets: f1 f5 - f5 - flags: top simplicial - normal: 0 1 - offset: -0.5 - coplanar set(furthest p5): p5: 0 0.5 furthest distance= 0 - vertices: p3(v4) p1(v3) - neighboring facets: f2 f4 4 0 2 3 1 rbox c | qhull FV n | qhull H Fp 3 8 -0.5 -0.5 -0.5 0.5 -0.5 -0.5 -0.5 -0.5 0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 0.5 0.5 rbox d D12 | qhull QR0 FA Convex hull of 24 points in 12-d: Number of vertices: 24 Number of facets: 4096 Statistics for: rbox d D12 | qhull QR0 FA QR1606200903 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): 0.03253 Approximate facet area: 1.735661e-07 Approximate volume: 2.0876757e-09 rbox c D7 | qhull FA TF1000 At 06:55:03 & 0.002823 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 06:55:03 & 0.005932 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 06:55:03 & 0.009328 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 06:55:03 & 0.012364 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 06:55:03 & 0.015768 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 06:55:03 & 0.019165 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 06:55:03 & 0.023271 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 06:55:03 & 0.026998 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 06:55:03 & 0.03082 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 06:55:03 & 0.03495 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 06:55:03 & 0.038731 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 06:55:03 & 0.041848 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 06:55:03 & 0.042335 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): 0.04246 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): 0.000472 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): 2.9e-05 rbox 10 s | qhull C1e-5 T1P-1f [QH1008]qh_readpoints: read in 10 3-dimensional points [QH0013]qh_initqhull_globals: for rbox 10 s | qhull C1e-5 T1P-1f Trace level T1, IStracing 0, point TP-1, merge TM0, dist TW1.8e+308, qh.tracefacet_id -1, traceridge_id -1, tracevertex_id -1, last qh.RERUN 0, rbox 10 s | qhull C1e-5 T1P-1f Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549133931 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 9.9e-17 [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 8.9e-17 above f13. 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): 0.000106 [QH1006]qh_freeqhull: free global memory [QH1005]qh_freebuild: free memory from qh_inithull and qh_buildhull [QH1061]qh_freeqhull: clear qhT except for qh.qhmem and qh.qhstat set +v === check quality of Qhull for bos02-ppc64el-022 Tue Nov 24 06:55:03 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): 0.002151 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): 0.001604 10 3 1000 84 98 84 98 0 6 13 0 2 1.942124858599573e-15 -1.139886926642759e-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: 81525 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): 0.01564 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: 42813 Number of distance tests for merging: 217588 Number of distance tests for checking: 12548 Number of merged facets: 2821 CPU seconds to compute hull (after input): 0.02854 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): 0.00298 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: 73434 Number of distance tests for checking: 124140 Number of merged facets: 1331 CPU seconds to compute hull (after input): 0.02977 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: 4550 Number of distance tests for qhull: 228853 Number of distance tests for merging: 309833 Number of distance tests for checking: 54701 Number of merged facets: 6167 CPU seconds to compute hull (after input): 0.04467 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: 330146 Number of distance tests for checking: 88768 Number of merged facets: 3862 CPU seconds to compute hull (after input): 0.06748 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): 0.003051 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: 290 Number of coplanar points: 646 Number of facets: 1268 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: 6254 Number of distance tests for qhull: 173671 Number of distance tests for merging: 91419 Number of distance tests for checking: 56357 Number of merged facets: 1356 CPU seconds to compute hull (after input): 0.019 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 1268000 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: 271037 Number of distance tests for checking: 90081 Number of merged facets: 1472 CPU seconds to compute hull (after input): 0.05199 Maximum distance of point above facet: 5.5e-05 (1.1x) Maximum distance of vertex below facet: -0.0001 (2.1x) QH7076 qhull input warning: exact merge ('Qx'). Verify may report that a point is outside of a facet. See qh-optq.htm#Qx Output completed. Verifying that all points are below outer planes of all facets. Will make 2222800 distance computations. set +v === check input format etc. Tue Nov 24 06:55:03 UTC 2020 qhull <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): 6.4e-05 qhull p TI r.x TO x.x cat x.x 3 10 -0.374949442106252 0.2247255418679914 -0.03782349642163468 0.3004920247946792 0.3694544596313075 0.4210962191420572 0.3641479121187217 0.2339522165562512 0.03489791698278666 -0.4707134565997063 -0.2810653003687648 0.1354949890035158 0.2642752088273644 -0.3265712199048802 0.3175057017407433 0.3183227589524563 0.05060330969337679 0.4898217078203537 0.4334355904100794 -0.2480392830893763 0.2037671452423252 -0.2855954200826543 -0.002227006947833121 -0.4293096679535784 -0.4075898489985521 -0.3625928418362446 -0.09789381697577781 -0.3013850588364387 -0.3786854184034145 0.4341719447953365 set +v === check qhull output formats Tue Nov 24 06:55:04 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): 4.1e-05 Output completed. Verifying that all points are below 1.3e-15 of all facets. Will make 25 distance computations. rbox 5 r s D2 | qhull s Convex hull of 5 points in 2-d: Number of vertices: 5 Number of facets: 5 Statistics for: rbox 5 r s D2 | qhull s Number of points processed: 5 Number of hyperplanes created: 8 Number of distance tests for qhull: 7 CPU seconds to compute hull (after input): 2.7e-05 rbox 5 r s D2 | qhull s o Convex hull of 5 points in 2-d: Number of vertices: 5 Number of facets: 5 Statistics for: rbox 5 r s D2 | qhull s o Number of points processed: 5 Number of hyperplanes created: 8 Number of distance tests for qhull: 7 CPU seconds to compute hull (after input): 2.6e-05 2 5 5 5 0.1545084971874737 0.4755282581475768 -0.4045084971874737 0.2938926261462366 -0.4045084971874738 -0.2938926261462365 0.1545084971874736 -0.4755282581475768 0.5 -1.224646799147353e-16 2 4 0 2 2 3 2 3 4 2 1 2 2 0 1 rbox 5 r s D2 | qhull f Vertices and facets: - p0(v3): 0.15 0.48 - p4(v2): 0.5 -1.2e-16 - p3(v4): 0.15 -0.48 - p2(v1): -0.4 -0.29 - p1(v5): -0.4 0.29 - f3 - flags: bottom simplicial - normal: 0.809 0.5878 - offset: -0.4045085 - vertices: p0(v3) p4(v2) - neighboring facets: f5 f7 - f4 - flags: bottom simplicial - normal: -0.309 -0.9511 - offset: -0.4045085 - vertices: p3(v4) p2(v1) - neighboring facets: f6 f5 - f5 - flags: top simplicial - normal: 0.809 -0.5878 - offset: -0.4045085 - vertices: p3(v4) p4(v2) - neighboring facets: f3 f4 - f6 - flags: top simplicial - normal: -1 9.444e-17 - offset: -0.4045085 - vertices: p1(v5) p2(v1) - neighboring facets: f4 f7 - f7 - flags: bottom simplicial - normal: -0.309 0.9511 - offset: -0.4045085 - vertices: p1(v5) p0(v3) - neighboring facets: f3 f6 rbox 5 r s D2 | qhull i 5 4 0 2 3 3 4 1 2 0 1 rbox 5 r s D2 | qhull m { Line[{{ 0.50000000, -0.00000000}, { 0.15450850, 0.47552826}}] ,Line[{{ -0.40450850, -0.29389263}, { 0.15450850, -0.47552826}}] ,Line[{{ 0.15450850, -0.47552826}, { 0.50000000, -0.00000000}}] ,Line[{{ -0.40450850, 0.29389263}, { -0.40450850, -0.29389263}}] ,Line[{{ 0.15450850, 0.47552826}, { -0.40450850, 0.29389263}}] } rbox 5 r s D2 | qhull FM PLOT(CURVES( [[ 0.50000000, -0.00000000], [ 0.15450850, 0.47552826]] ,[[ -0.40450850, -0.29389263], [ 0.15450850, -0.47552826]] ,[[ 0.15450850, -0.47552826], [ 0.50000000, -0.00000000]] ,[[ -0.40450850, 0.29389263], [ -0.40450850, -0.29389263]] ,[[ 0.15450850, 0.47552826], [ -0.40450850, 0.29389263]] )); rbox 5 r s D2 | qhull n 3 5 0.8090169943749476 0.587785252292473 -0.4045084971874737 -0.3090169943749476 -0.9510565162951536 -0.4045084971874738 0.8090169943749472 -0.5877852522924732 -0.4045084971874737 -1 9.444121133484361e-17 -0.4045084971874738 -0.3090169943749474 0.9510565162951536 -0.4045084971874738 rbox 5 r s D2 | qhull p 2 5 0.1545084971874737 0.4755282581475768 -0.4045084971874737 0.2938926261462366 -0.4045084971874738 -0.2938926261462365 0.1545084971874736 -0.4755282581475768 0.5 -1.224646799147353e-16 rbox 5 r s D2 | qhull o 2 5 5 5 0.1545084971874737 0.4755282581475768 -0.4045084971874737 0.2938926261462366 -0.4045084971874738 -0.2938926261462365 0.1545084971874736 -0.4755282581475768 0.5 -1.224646799147353e-16 2 4 0 2 2 3 2 3 4 2 1 2 2 0 1 rbox 5 r s D2 | qhull Ft 2 5 5 5 0.1545084971874737 0.4755282581475768 -0.4045084971874737 0.2938926261462366 -0.4045084971874738 -0.2938926261462365 0.1545084971874736 -0.4755282581475768 0.5 -1.224646799147353e-16 2 4 0 2 2 3 2 3 4 2 1 2 2 0 1 rbox 5 r s D2 | qhull Fx 5 4 0 1 2 3 rbox 5 r s D2 | qhull p n i p p 2 5 0.1545084971874737 0.4755282581475768 -0.4045084971874737 0.2938926261462366 -0.4045084971874738 -0.2938926261462365 0.1545084971874736 -0.4755282581475768 0.5 -1.224646799147353e-16 3 5 0.8090169943749476 0.587785252292473 -0.4045084971874737 -0.3090169943749476 -0.9510565162951536 -0.4045084971874738 0.8090169943749472 -0.5877852522924732 -0.4045084971874737 -1 9.444121133484361e-17 -0.4045084971874738 -0.3090169943749474 0.9510565162951536 -0.4045084971874738 5 4 0 2 3 3 4 1 2 0 1 rbox 10 D3 | qhull f Tcv Vertices and facets: - p0(v5): -0.022 -0.37 0.33 - p9(v3): 0.38 -0.47 -0.22 - p6(v1): -0.31 -0.011 -0.49 - p1(v4): -0.067 -0.16 0.46 - p7(v2): 0.39 0.045 0.12 - p3(v6): 0.31 0.084 -0.1 - p4(v7): 0.18 0.12 0.049 - p5(v8): -0.12 0.015 -0.14 - p2(v9): 0.028 0.042 0.058 - f5 - flags: top simplicial - normal: -0.4934 -0.8471 -0.1973 - offset: -0.2568231 - vertices: p0(v5) p9(v3) p6(v1) - neighboring facets: f9 f6 f7 - f6 - flags: bottom simplicial - normal: -0.9301 -0.3157 0.1877 - offset: -0.1977325 - vertices: p0(v5) p1(v4) p6(v1) - neighboring facets: f17 f5 f8 - f7 - flags: bottom simplicial - normal: 0.7008 -0.3956 0.5936 - offset: -0.323519 - vertices: p0(v5) p9(v3) p7(v2) - neighboring facets: f10 f8 f5 - f8 - flags: top simplicial - normal: 0.6544 -0.298 0.6949 - offset: -0.3219447 - vertices: p0(v5) p1(v4) p7(v2) - neighboring facets: f13 f7 f6 - f9 - flags: bottom simplicial - normal: 0.4866 0.2316 -0.8424 - offset: -0.2582907 - vertices: p3(v6) p9(v3) p6(v1) - neighboring facets: f5 f16 f10 - f10 - flags: top simplicial - normal: 0.943 0.1711 -0.2855 - offset: -0.3386013 - vertices: p3(v6) p9(v3) p7(v2) - neighboring facets: f7 f14 f9 - f13 - flags: bottom simplicial - normal: 0.08536 0.8035 0.5892 - offset: -0.1388354 - vertices: p4(v7) p1(v4) p7(v2) - neighboring facets: f8 f14 f20 - f14 - flags: top simplicial - normal: 0.3121 0.948 0.06295 - offset: -0.1707289 - vertices: p4(v7) p3(v6) p7(v2) - neighboring facets: f10 f13 f16 - f16 - flags: bottom simplicial - normal: -0.008104 0.9738 -0.2271 - offset: -0.1026508 - vertices: p4(v7) p3(v6) p6(v1) - neighboring facets: f9 f18 f14 - f17 - flags: top simplicial - normal: -0.6179 0.7381 0.2709 - offset: -0.04995414 - vertices: p5(v8) p1(v4) p6(v1) - neighboring facets: f6 f18 f21 - f18 - flags: bottom simplicial - normal: -0.3978 0.9064 0.1423 - offset: -0.04320607 - vertices: p5(v8) p4(v7) p6(v1) - neighboring facets: f16 f17 f22 - f20 - flags: top simplicial - normal: -0.4124 0.8514 0.3242 - offset: -0.04294297 - vertices: p2(v9) p4(v7) p1(v4) - neighboring facets: f13 f21 f22 - f21 - flags: bottom simplicial - normal: -0.5086 0.8133 0.2826 - offset: -0.03620543 - vertices: p2(v9) p5(v8) p1(v4) - neighboring facets: f17 f20 f22 - f22 - flags: top simplicial - normal: -0.432 0.8759 0.2148 - offset: -0.03703814 - vertices: p2(v9) p5(v8) p4(v7) - neighboring facets: f18 f20 f21 Output completed. Verifying that all points are below 2e-15 of all facets. Will make 140 distance computations. rbox 10 D3 | qhull i 14 0 9 6 1 0 6 9 0 7 0 1 7 9 3 6 3 9 7 1 4 7 4 3 7 3 4 6 5 1 6 4 5 6 2 4 1 5 2 1 2 5 4 rbox 10 D3 | qhull p 3 9 -0.0222149361131852 -0.366434993563625 0.3270621312102882 -0.06676722137887703 -0.1566931052661437 0.4589771055234383 0.02820502736438535 0.04189077954915421 0.05832764185809314 0.3126723396709863 0.08400649026409401 -0.1029227018383543 0.1781470954214661 0.1182274414396169 0.04860343742054274 -0.1220315663349177 0.01546165115708642 -0.1360330368727753 -0.3072535691850387 -0.01073880122111998 -0.4870359524963758 0.3867462923626847 0.04492879989084675 0.118335500935405 0.3789805913148268 -0.4732086509216658 -0.2177962499836425 rbox 10 D3 | qhull o 3 10 14 21 -0.0222149361131852 -0.366434993563625 0.3270621312102882 -0.06676722137887703 -0.1566931052661437 0.4589771055234383 0.02820502736438535 0.04189077954915421 0.05832764185809314 0.3126723396709863 0.08400649026409401 -0.1029227018383543 0.1781470954214661 0.1182274414396169 0.04860343742054274 -0.1220315663349177 0.01546165115708642 -0.1360330368727753 -0.3072535691850387 -0.01073880122111998 -0.4870359524963758 0.3867462923626847 0.04492879989084675 0.118335500935405 -0.1352406177997967 0.01093378431250691 -0.2358910583293913 0.3789805913148268 -0.4732086509216658 -0.2177962499836425 3 0 9 6 3 1 0 6 3 9 0 7 3 0 1 7 3 9 3 6 3 3 9 7 3 1 4 7 3 4 3 7 3 3 4 6 3 5 1 6 3 4 5 6 3 2 4 1 3 5 2 1 3 2 5 4 rbox 10 D3 | qhull Fx 9 0 1 2 3 4 5 6 7 9 rbox 27 M1,0,1 | qhull Qc Convex hull of 27 points in 3-d: Number of vertices: 8 Number of coplanar points: 18 Number of facets: 6 Number of non-simplicial facets: 6 Statistics for: rbox 27 M1,0,1 | qhull Qc Number of points processed: 8 Number of hyperplanes created: 11 Number of distance tests for qhull: 297 Number of distance tests for merging: 90 Number of distance tests for checking: 168 Number of merged facets: 6 CPU seconds to compute hull (after input): 8.4e-05 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): 0.001218 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): 8.3e-05 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): 0.000844 Maximum distance of point above facet: 0.0057 (0.6x) Maximum distance of vertex below facet: -0.0087 (1.0x) 10 29 92 222 0.0522162084244199 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 0.01048228658130249 69 26 409 0.04998878658421259 19 66 371 0.008281093788857875 19 45 371 0.04608027722786198 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): 0.06739 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): 0.05355 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): 0.000421 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): 0.003073 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): 0.002846 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): 9.2e-05 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): 7e-05 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): 3.2e-05 Total facet area: 2.8999576 Total volume: 0.46254269 Output completed. Verifying that all points are below 1.3e-15 of all facets. Will make 40 distance computations. rbox 10 c D2 | qhull Fx Tcv 4 10 12 13 11 Output completed. Verifying that all points are below 1.3e-15 of all facets. Will make 56 distance computations. rbox 1000 s | qhull FS Tcv 0 2 3.12019513507746 0.5165027368863381 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 0.003004576780837479 5.95554496029922e-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): 5.1e-05 rbox 4 z h s D2 | qhull Fd s n FD Tcv begin 4 3 real 107643.7343385944 -0.2650304141580589 -0.964240052876465 797791.7732245288 -0.6912673062074456 0.7225991360143615 874890.2679778723 0.9916265954087946 0.1291382796771071 864878.4439653738 0.3984446264475182 0.9171923896626583 end Output completed. Verifying that all points are below 2.6e-09 of all facets. Will make 16 distance computations. rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 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): 4.4e-05 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 -0.1454013928109105 - 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 -0.1680570625036092 -0.3911895500493898 -0.01238286325891902 -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 -0.01238286325891902 -0.9202268202077502 -0.1989548866041485 0.4183781509471984 0.3424157187037644 0.8412557271095321 0.07254956874669659 4 4 0.205360378770873 0.06987429109559466 0.976188864039624 0.1253980026939626 -0.2031613339148238 -0.3001304507855299 -0.9320124381751694 -0.2813242952138536 -0.3911895500493898 -0.01238286325891902 -0.9202268202077502 -0.1989548866041498 0.4183781509471984 0.3424157187037644 0.8412557271095321 0.07254956874669527 rbox 6 s D3 | qhull C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv 4 1 2 3 4 4 0 0 0 0 4 3 1 2 3 3 0 2 3 3 0 1 3 3 0 1 2 6 1 1 3 3 0 2 3 3 1 2 1 1 3 2 0 1 3 3 0 1 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 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 0.8296676646636064 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 0 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 0.07490600482805045 0.2087585943133527 rbox 10 D3 | qhull Fa PF0.4 QH7055 qhull warning: no facets printed 0 set +v === test Qt Tue Nov 24 06:55:04 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): 0.0001 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): 5.3e-05 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): 0.000149 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): 0.000116 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 -0.1939879513790815 -0.3359969878447704 0.1939879513790817 -0.2875 -4.003741782554467e-18 0.3359969878447702 -0.1939879513790819 0.3359969878447707 0.1939879513790815 0.2875 -4.003741782554467e-18 -2.245049596977781e-16 -0.3453321730569307 -2.245049596977781e-16 -0.3453321730569307 1.085619476897688e-16 0.3453321730569308 1.085619476897688e-16 0.3453321730569308 4.003741782554467e-18 -4.003741782554467e-18 4.003741782554467e-18 -4.003741782554467e-18 Output completed. Verifying that all points are below outer planes of all facets. Will make 120 distance computations. rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 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): 0.000106 Approximate facet area: 6 Approximate volume: 1 Vertices and facets: - p6(v6): 0.5 0.5 -0.5 neighbors: f17 f18 f25 f27 f33 f34 - p2(v3): -0.5 0.5 -0.5 neighbors: f17 f29 f33 - p0(v1): -0.5 -0.5 -0.5 neighbors: f17 f18 f21 f22 f29 f30 - p4(v2): 0.5 -0.5 -0.5 neighbors: f18 f21 f25 - p5(v7): 0.5 -0.5 0.5 neighbors: f21 f22 f25 f27 f37 f38 - p1(v4): -0.5 -0.5 0.5 neighbors: f22 f30 f37 - p7(v5): 0.5 0.5 0.5 neighbors: f27 f34 f38 - p3(v8): -0.5 0.5 0.5 neighbors: f29 f30 f33 f34 f37 f38 - f17 - flags: top simplicial tricoplanar isarea keepcentrum - area: 0.5 - normal: -0 -0 -1 - offset: -0.5 - center: 0 0 -0.5 - vertices: p6(v6) p2(v3) p0(v1) - neighboring facets: f29 f18 f33 - f18 - flags: bottom simplicial tricoplanar isarea - area: 0.5 - normal: -0 -0 -1 - offset: -0.5 - center: 0 0 -0.5 - vertices: p6(v6) p4(v2) p0(v1) - neighboring facets: f21 f17 f25 - f21 - flags: top simplicial tricoplanar isarea keepcentrum - area: 0.5 - normal: 0 -1 0 - offset: -0.5 - center: 0 -0.5 0 - vertices: p5(v7) p4(v2) p0(v1) - neighboring facets: f18 f22 f25 - f22 - flags: bottom simplicial tricoplanar isarea - area: 0.5 - normal: 0 -1 0 - offset: -0.5 - center: 0 -0.5 0 - vertices: p5(v7) p1(v4) p0(v1) - neighboring facets: f30 f21 f37 - f25 - flags: top simplicial tricoplanar isarea keepcentrum - area: 0.5 - normal: 1 -0 -0 - offset: -0.5 - center: 0.5 0 0 - vertices: p5(v7) p6(v6) p4(v2) - neighboring facets: f18 f21 f27 - f27 - flags: bottom simplicial tricoplanar isarea - area: 0.5 - normal: 1 -0 -0 - offset: -0.5 - center: 0.5 0 0 - vertices: p5(v7) p6(v6) p7(v5) - neighboring facets: f34 f38 f25 - f29 - flags: bottom simplicial tricoplanar isarea keepcentrum - area: 0.5 - normal: -1 -0 -0 - offset: -0.5 - center: -0.5 0 0 - vertices: p3(v8) p2(v3) p0(v1) - neighboring facets: f17 f30 f33 - f30 - flags: top simplicial tricoplanar isarea - area: 0.5 - normal: -1 -0 -0 - offset: -0.5 - center: -0.5 0 0 - vertices: p3(v8) p1(v4) p0(v1) - neighboring facets: f22 f29 f37 - f33 - flags: bottom simplicial tricoplanar isarea keepcentrum - area: 0.5 - normal: 0 1 -0 - offset: -0.5 - center: 0 0.5 0 - vertices: p3(v8) p6(v6) p2(v3) - neighboring facets: f17 f29 f34 - f34 - flags: top simplicial tricoplanar isarea - area: 0.5 - normal: 0 1 -0 - offset: -0.5 - center: 0 0.5 0 - vertices: p3(v8) p6(v6) p7(v5) - neighboring facets: f27 f38 f33 - f37 - flags: top simplicial tricoplanar isarea keepcentrum - area: 0.5 - normal: -0 -0 1 - offset: -0.5 - center: 0 0 0.5 - vertices: p3(v8) p5(v7) p1(v4) - neighboring facets: f22 f30 f38 - f38 - flags: bottom simplicial tricoplanar isarea - area: 0.5 - normal: -0 -0 1 - offset: -0.5 - center: 0 0 0.5 - vertices: p3(v8) p5(v7) p7(v5) - neighboring facets: f27 f34 f37 rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv 4 12 -0 -0 -1 -0.4999999999999993 -0 -0 -1 -0.4999999999999993 0 -1 0 -0.4999999999999993 0 -1 0 -0.4999999999999993 1 -0 -0 -0.4999999999999993 1 -0 -0 -0.4999999999999993 -1 -0 -0 -0.4999999999999993 -1 -0 -0 -0.4999999999999993 0 1 -0 -0.4999999999999993 0 1 -0 -0.4999999999999993 -0 -0 1 -0.4999999999999993 -0 -0 1 -0.4999999999999993 4 12 -0 -0 -1 -0.5 -0 -0 -1 -0.5 0 -1 0 -0.5 0 -1 0 -0.5 1 -0 -0 -0.5 1 -0 -0 -0.5 -1 -0 -0 -0.5 -1 -0 -0 -0.5 0 1 -0 -0.5 0 1 -0 -0.5 -0 -0 1 -0.5 -0 -0 1 -0.5 4 12 -0 -0 -1 -0.5000000000000013 -0 -0 -1 -0.5000000000000013 0 -1 0 -0.5000000000000013 0 -1 0 -0.5000000000000013 1 -0 -0 -0.5000000000000013 1 -0 -0 -0.5000000000000013 -1 -0 -0 -0.5000000000000013 -1 -0 -0 -0.5000000000000013 0 1 -0 -0.5000000000000013 0 1 -0 -0.5000000000000013 -0 -0 1 -0.5000000000000013 -0 -0 1 -0.5000000000000013 rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv 12 17 18 21 22 25 27 29 30 33 34 37 38 12 0 0 0 0 0 0 0 0 0 0 0 0 12 3 6 1 8 3 2 0 4 3 1 3 4 3 7 2 10 3 1 2 5 3 9 11 4 3 0 7 8 3 3 6 10 3 0 6 9 3 5 11 8 3 3 7 11 3 5 9 10 8 6 7 3 2 1 0 6 3 10 3 7 3 8 0 6 6 11 9 8 6 7 10 3 4 1 2 6 11 5 4 2 3 10 6 9 5 4 1 0 8 3 11 5 9 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 Qtriangulate Centrum-premerge- 0.1 Qcoplanar-keep FFacets-xridge summary FQhull Finner normals Fouter FQhull FIDs Fmerges Fneighbors FNeighbors-vertex FOptions FQhull Fsummary FSize FVertex-average Tcheck-frequently Tverify Fvertices _max-width 1 Error-roundoff 6.9e-16 _one-merge 0.3 _near-inside 1.5 Visible-distance 0.1 U-max-coplanar 0.1 Width-outside 0.2 _wide-facet 0.6 rbox c | qhull Qt C-0.1 Qc FF s FQ Fi n Fo FQ FI Fm Fn FN FO FO FQ Fs FS FV Fv Tcv 10 3 8 8 12 8 12 0 0 0 6 2 1.387359992873471e-15 -6.936799964367356e-16 0 2 6 1 3 1 0 0 0 12 3 6 2 0 3 6 4 0 3 5 4 0 3 5 1 0 3 5 6 4 3 5 6 7 3 3 2 0 3 3 1 0 3 3 6 2 3 3 6 7 3 3 5 1 3 3 5 7 Output completed. Verifying that all points are below outer planes of all facets. Will make 96 distance computations. rbox 6 r s c G0.1 D2 P0.1,0.1 | qhull s FP d FO Qt Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 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): 9.3e-05 1 0 10 36 0 rbox 100 W0 | qhull Tv Q11 FO Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 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): 0.000395 Output completed. Verifying that all points are below outer planes of all facets. Will make 8600 distance computations. set +v === test unbounded intersection Tue Nov 24 06:55:04 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): 0.007442 Total facet area: 5.8817432 Total volume: 0.99685163 8 0.1446087232094601 0.1622198334884075 0.2057158590759609 0.1567143851824352 0.188985866819172 0.1580674614313253 0.1616733826473111 0.1767351337533958 0 2 5.881743214947514 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 -0.9999999998842696 6.332306547224586e-06 -0.4999917156571329 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 -2.055073082985624e-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 -0.7458921924784655 -0.002537335608348151 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 0.7048517017950094 -0.7475007704997936 0.001196850675493193 0.0003334814784797861 0.9999992281689842 -0.4989807987213126 0.9999992961453316 0.00118637926097064 1.459763172590229e-05 -0.4998611663332403 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 -0.7458921924784655 -0.002537335608348151 0.666653414016696 0.7453635270845322 -0.6767722083805112 -0.9785529186794025 -0.009694358843403266 -0.2057673558916428 -0.5832522471275383 0.827830634881054 -0.3414688798813043 -0.4450791435520635 -0.7665474225756105 0.7383776593319754 -0.4655216164679661 0.4879426777814019 -0.7788991125303445 0.2008161614085187 -0.8823413491644904 0.4256132198037728 -0.6982307124493007 0.41932306725662 0.6721295192910487 -0.6102541065524131 -0.7755692997856909 -0.3210285130221472 0.4863414284958994 -0.8126578054478755 -0.759149015159407 -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 0.7048517017950094 -0.7475007704997936 Output completed. Verifying that all points are below outer planes of all facets. Will make 8000 distance computations. rbox 10 | qhull FO Tz TO q_test.log.1 cat q_test.log.1 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549150738 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): 4.7e-05 set +v === check Delaunay/Voronoi Tue Nov 24 06:55:04 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): 6.5e-05 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): 0.000106 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): 8.7e-05 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: 29 Number of facets in hull: 16 Number of distance tests for qhull: 103 Number of distance tests for merging: 278 Number of distance tests for checking: 269 Number of merged facets: 8 CPU seconds to compute hull (after input): 0.000175 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): 0.000148 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 0.2865331378987295 -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 0.2865331378987295 -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 -0.07247409101984716 0.08267689532419745 -0.2397644955865706 0.1295260566906465 1.716033573116837 0.1740355150742391 0.5317519038435655 0.1851415205797575 0.3882545794457363 -0.9065939866848109 -0.2962957610652137 -0.1954805620516266 -0.07111892482963182 -0.1407581310832468 0.7233857048236082 -0.1676297826663962 0.2080621273999377 0.05868313821742953 0.06632066014880154 0.08806341399736994 0.1054080604689985 0.4761588899009253 -0.03168366595227294 3.094213357897477 -0.06472194567768198 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 -0.07247409101984716 0.08267689532419745 -0.2397644955865706 0.1295260566906465 1.716033573116837 0.1740355150742391 0.5317519038435655 0.1851415205797575 0.3882545794457363 -0.9065939866848109 -0.2962957610652137 -0.1954805620516266 -0.07111892482963182 -0.1407581310832468 0.7233857048236082 -0.1676297826663962 0.2080621273999377 0.05868313821742953 0.06632066014880154 0.08806341399736994 0.1054080604689985 0.4761588899009253 -0.03168366595227294 3.094213357897477 -0.06472194567768198 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 -0.07247409101984716 0 # 2 f11 0.08267689532419745 -0.2397644955865706 0 # 3 f12 0.1295260566906465 1.716033573116837 0 # 4 f14 0.1740355150742391 0.5317519038435655 0 # 5 f15 0.1851415205797575 0.3882545794457363 0 # 6 f19 -0.9065939866848109 -0.2962957610652137 0 # 7 f20 -0.1954805620516266 -0.07111892482963182 0 # 8 f21 -0.1407581310832468 0.7233857048236082 0 # 9 f22 -0.1676297826663962 0.2080621273999377 0 # 10 f23 0.05868313821742953 0.06632066014880154 0 # 11 f24 0.08806341399736994 0.1054080604689985 0 # 12 f25 0.4761588899009253 -0.03168366595227294 0 # 13 f26 3.094213357897477 -0.06472194567768198 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 0.02051532578114377 0.9997895385570373 0.07511430445246044 5 0 9 0.619259133056969 0.7851866823409139 0.1370614663104577 5 0 5 -0.301880639203215 0.9533457293522944 0.008789126238507576 5 1 3 0.9648718030091261 -0.2627211520946078 0.3258622775065155 5 1 5 0.7995952824356682 -0.6005392446015697 0.5469710423089693 5 2 7 -0.9458410914974846 0.3246299888101017 0.04907537812572171 5 2 4 0.4446710312325419 0.8956939622340812 -0.4300843534994401 5 2 6 0.2281595097543261 -0.9736237661995858 0.08253528745668783 5 3 4 0.99929448732669 0.0375569913396654 -0.1938837324602515 5 3 7 0.687752332462597 -0.7259454037269314 0.2663295190946442 5 3 5 -0.9986432053419565 0.05207445078292266 -0.1782370644858237 5 4 7 -0.9970183790688238 -0.07716444646969989 0.2145489484590235 5 4 6 -0.1075842248297359 -0.9941959739245502 0.2685422477498993 5 5 7 0.995060920624513 -0.09926612839179758 0.187455367716064 5 6 7 -0.7993641842155073 0.6008468199079335 0.007060641163779185 5 6 9 -0.2285415587894342 -0.973534157544611 0.07797696388863314 5 6 8 -0.01261839651625044 -0.9999203848653946 -0.02567278177543585 5 7 9 0.5936952885926362 -0.8046899429612046 0.01852766555277017 5 8 9 -0.4674785097727932 0.8840044360186258 0.2506025495170937 Voronoi ridge statistics 19 bounded ridges 4.2e-17 ave. distance of midpoint to ridge 1.8e-16 max. distance of midpoint to ridge 19 bounded ridges with ok normal 4.1e-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 -0.07609298438083824 5 0 8 0.7190625207842067 0.6949453872092843 0.1071733734620186 5 1 4 0.9929212365203526 -0.1187746524595787 0.0752121188850394 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 -0.06934933486244875 0.05349366577784775 -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 0.4164624817835531 0.9091529031283372 -0.01975252543405317 4 5 0 8 0.7190625207842071 0.6949453872092841 0.1071733734620185 5 0 1 -0.385495557888816 0.9227096915324943 -0.07609298438083824 5 1 4 0.9929212365203528 -0.1187746524595786 0.07521211888503934 5 4 8 -0.06640144810487481 -0.9977929883946747 0.1408811441173877 Voronoi ridge statistics 1 bounded ridges 6.9e-18 ave. distance of midpoint to ridge 6.9e-18 max. distance of midpoint to ridge 1 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 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 0.1026012494065409 0.8309156055795223 -0.5468566905731632 0.2399036185798246 6 0 8 -0.1644981128676535 0.5492243080463509 -0.8193247404503221 0.1220237399030437 6 0 5 -0.1640386761614814 0.6276090456203118 -0.7610507201092118 0.1709974344854014 6 2 3 0.8628264983391889 0.1277424492346307 -0.489093345310761 -0.1660057988150948 6 2 9 0.5146151495466441 -0.7556910962035632 -0.4050953159143436 -0.3000434746332831 6 2 7 0.9862472983740704 0.008356748990702548 0.1650649302430823 -0.2195655184060844 6 3 8 -0.9471370887617876 -0.1545163381156413 -0.2811690529684559 0.04372902199764657 6 3 5 -0.9850113492204076 -0.1553182373520527 -0.07502590921037661 0.09265233510028272 6 4 8 -0.7177135399298969 -0.245721536677967 -0.6515429387338296 -0.02974683605231286 6 5 9 0.7110332662678563 -0.693517783370965 -0.1160378317993182 -0.2706062861955821 6 5 8 -0.1310037283001485 -0.04490613421135444 -0.9903643078593113 -0.2004293237314498 6 6 8 0.563653077615962 0.0710168591233883 0.8229531054770393 0.4221671959133705 6 8 9 0.7278413449934529 -0.6852671087526033 0.02561183671604034 -0.2412830130907243 Voronoi ridge statistics 15 non-simplicial Voronoi vertices for all ridges 3.6e-17 ave. distance to ridge 9.5e-17 max. distance to ridge 13 bounded ridges 6e-17 ave. distance of midpoint to ridge 2.7e-16 max. distance of midpoint to ridge 13 bounded ridges with ok normal 1.2e-16 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 0.004105600879712509 6 0 9 0.5856843296472444 -0.1558732679166012 -0.7954102025713885 -0.1264594278193165 6 0 6 -0.305501768024369 0.3812318858994052 -0.8725427891556766 -0.04822326899809232 6 0 7 0.6633910639781569 0.6672883530766269 -0.3385831509130539 0.06175731395259465 6 1 7 0.7533877382120362 0.3349392388487638 -0.5658821628140995 0.06152842458597931 6 1 2 0.2077539373736712 0.4344067294949114 -0.8764297432625568 0.2556318087147512 6 1 5 -0.08886729274769899 0.2768317827550717 -0.9568002760954574 0.1656561460661368 6 2 4 0.8896724708236493 0.4529391082738925 -0.05769799697211259 -0.124969949041603 6 2 5 -0.6080629223625025 -0.1069684332549472 -0.7866493734408965 -0.05602222006342437 6 3 9 0.1157648604151237 -0.9728190902550374 -0.2005530222370838 -0.2615067759720444 6 3 7 0.3131056731324617 -0.1651787990807293 0.9352437125084113 -0.1060546443225208 6 3 6 -0.8429664438017093 -0.1288333013498811 -0.5223117412882754 -0.1470675860428305 6 3 4 -0.6546392846048741 0.1665291828386517 0.7373706247980792 0.1638426312062793 6 4 7 0.8997625993863546 -0.3161631359012114 0.3007792151107228 -0.2534488584590283 6 4 6 -0.6610636619910348 -0.1756381951302928 -0.7294834194184102 -0.1931488689248217 6 4 5 -0.8177140658972858 -0.2799433900977096 -0.5029666040348316 0.01966883326066581 6 5 6 -0.4656867325018191 -0.06587339986788443 -0.8824945112359766 -0.374728122564582 6 6 9 0.7885740013077055 -0.53143915131955 0.3093921022041633 -0.04784058563315531 6 7 9 -0.01257265438745104 -0.8388634914110147 -0.5441966291143084 -0.2018836580171399 Voronoi ridge statistics 14 non-simplicial Voronoi vertices for all ridges 3.3e-17 ave. distance to ridge 9.1e-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 -0.04510412048603352 -0.1962229636993575 -0.06746145990413342 -0.2032838761823816 -0.3188041900902701 0.1251484339163768 0.1359785067833993 0.06954805978697726 -0.07249043373758886 -0.9550934192592712 0.3815223390696582 -0.9370156532984102 -0.01637948561987636 -0.8836250780525146 -0.03718065630611938 0.09499885792019704 -0.7038538868165177 -0.181396220925921 2.128743389186442 -4.060345900416348 -1.2162468947864 2.789531685277134 -5.393666229616702 -1.494034092231969 2.640156785602 -4.796303906482407 -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 0.5123553720802022 -0.3638120828535339 -0.7779027838170596 -0.100757404152973 6 2 6 -0.5221667006142704 -0.08192192666458445 -0.8488997200501184 -0.2535440955968301 6 6 7 0.752213645322669 0.06033708575303686 0.6561509489997045 0.09003235761431798 15 6 0 1 -0.1769702595802886 0.8331351847724077 0.5239916899325133 0.004105600879712516 6 0 9 0.5856843296472444 -0.1558732679166013 -0.7954102025713887 -0.1264594278193166 6 1 6 -0.2436653478720989 0.1478836806870479 -0.9585184480399009 -0.04663519095132846 6 1 2 0.2077539373736668 0.4344067294949093 -0.8764297432625591 0.2556318087147518 6 1 4 0.4442200788473619 0.4986447037065236 -0.7443265284902031 0.1737545932855555 6 1 7 0.753387738212036 0.3349392388487631 -0.5658821628141004 0.06152842458597953 6 2 5 -0.608062922362502 -0.106968433254947 -0.786649373440897 -0.05602222006342446 6 2 4 0.8896724708236493 0.4529391082738924 -0.05769799697211282 -0.1249699490416033 6 3 6 -0.8429664438017095 -0.1288333013498812 -0.5223117412882752 -0.1470675860428304 6 3 7 0.3131056731324611 -0.165178799080729 0.9352437125084115 -0.1060546443225206 6 4 6 -0.6610636619910349 -0.1756381951302929 -0.7294834194184101 -0.1931488689248215 6 4 7 0.8997625993863545 -0.3161631359012115 0.300779215110723 -0.2534488584590283 6 5 6 -0.4656867325018189 -0.06587339986788435 -0.8824945112359766 -0.3747281225645822 6 6 9 0.7885740013077054 -0.5314391513195502 0.309392102204163 -0.04784058563315546 6 7 9 -0.01257265438745033 -0.8388634914110151 -0.5441966291143079 -0.2018836580171403 Voronoi ridge statistics 9 non-simplicial Voronoi vertices for all ridges 1.7e-16 ave. distance to ridge 5.7e-16 max. distance to ridge 3 bounded ridges 8.7e-16 ave. distance of midpoint to ridge 2.5e-15 max. distance of midpoint to ridge 3 bounded ridges with ok normal 1.5e-16 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 0.8404705693422866 - 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: 0.2417735613471299 0.5000766029034817 - 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: 0.06029550723695778 0.09433023738340308 - 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 0.8404705693422866 0.2417735613471299 0.5000766029034817 0.4470293595057619 -0.2357835939937328 0.06029550723695778 0.09433023738340308 3 2 4 0 3 3 4 0 3 1 3 0 4 3 4 2 1 3 1 2 0 set +v === check Halfspace and Qhull identity pipeline, showing the input Tue Nov 24 06:55:04 UTC 2020 === the Qhull pipeline recreates 100 4-D cospherical points with the same area and volume rbox 100 s D4 | qhull FA FV s n | head Convex hull of 100 points in 4-d: Number of vertices: 100 Number of facets: 584 Statistics for: rbox 100 s D4 | qhull FA FV s n Number of points processed: 100 Number of hyperplanes created: 1717 Number of distance tests for qhull: 4090 CPU seconds to compute hull (after input): 0.00128 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 0.9350657178932538 -0.116181174817606 -0.009048199757790571 0.3347718147035652 -0.3733488931324643 0.5670388949132408 -0.5323662756300656 -0.3876606744394213 0.4947446227302695 -0.4846392631626165 0.8393609616706703 -0.1089654738688994 -0.05104156673138015 0.530089105710936 -0.4115455431603698 0.6753770108964835 -0.1536990905729236 -0.0485198359900459 0.7196445707605154 -0.4414725485817288 0.20025580309926 0.08170320261530005 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): 0.001315 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: 4009 Number of distance tests for qhull: 29687 Number of distance tests for merging: 76807 Number of distance tests for checking: 18265 Number of merged facets: 3446 CPU seconds to compute hull (after input): 0.0147 Maximum distance of point above facet: 3.1e-14 (0.6x) Maximum distance of vertex below facet: -3e-14 (0.6x) 4 100 -0.149782097400785 0.4220759056868797 -0.1730594919621525 0.1395265758865439 -0.1656824599698353 0.269508156576344 0.239981554044305 -0.3038478726528215 -0.1287028906527846 0.3274268489457608 0.1066154632455196 -0.3389105597705838 0.2152206390581627 0.2489384546335304 -0.3428963517040028 0.1553441801811402 -0.3478218321497434 0.1609400522171699 0.2504669650899249 -0.200959130349861 -0.2026608048181583 0.1327376760601391 -0.4340855448243786 0.0536567546459177 -0.1243914612976075 -0.06208848857682946 -0.4348180038806073 -0.2039732517850684 0.318659177699236 0.2994118752602876 -0.2407753518255605 -0.02891517550425982 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): 0.007534 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: 4009 Number of distance tests for qhull: 29687 Number of distance tests for merging: 76907 Number of distance tests for checking: 51827 Number of merged facets: 3446 CPU seconds to compute hull (after input): 0.3849 Maximum distance of point above facet: 3.1e-14 (0.6x) Maximum distance of vertex below facet: -3e-14 (0.6x) 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): 0.007501 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): 6.7e-05 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): 0.000111 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): 3.9e-05 Output completed. Verifying that all points are below 1.3e-15 of all facets. Will make 25 distance computations. Halfspace intersection by the convex hull of 5 points in 2-d: Number of halfspaces: 5 Number of non-redundant halfspaces: 5 Number of intersection points: 5 Statistics for: rbox 5 r D2 | qhull s FQ n Tcv | qhull s H0 Fp Tcv Number of points processed: 5 Number of hyperplanes created: 7 Number of distance tests for qhull: 8 CPU seconds to compute hull (after input): 5.1e-05 2 5 -0.4045084971874738 -0.2938926261462366 0.5 -1.528090898784888e-16 0.1545084971874736 -0.4755282581475769 -0.4045084971874737 0.2938926261462367 0.1545084971874737 0.4755282581475768 Output completed. Verifying that all points are below 6.4e-15 of all facets. Will make 25 distance computations. set +v === check qhull Tue Nov 24 06:55:05 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): 6.1e-05 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-1606200905 Number of points processed: 10 Number of hyperplanes created: 29 Number of distance tests for qhull: 48 CPU seconds to compute hull (after input): 5.6e-05 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): 5.1e-05 rbox 1000 D3 | qhull Tcvs qhull 2020.2.r 2020/08/31 Statistics: rbox 1000 D3 | qhull Tcvs Convex hull of 1000 points in 3-d: Number of vertices: 73 Number of facets: 142 Statistics for: rbox 1000 D3 | qhull Tcvs Number of points processed: 81 Number of hyperplanes created: 367 Number of distance tests for qhull: 12879 CPU seconds to compute hull (after input): 0.001812 qhull invoked by: rbox 1000 D3 | qhull Tcvs 2020.2.r 2020/08/31 with options: run-id 1549167545 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 3.5e-17 ave. distance of a new vertex to a facet 1.5e-16 max. distance of a new vertex to a facet 1.3e-16 max. distance of an output vertex to a facet -1.5e-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 0.0018 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 -1.6e-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 0.569 average number of tests to match a ridge statistics for determining merges 1089 distance tests for checking simplicial convexity statistics for merging 1.5e-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) 31808 for facets and their normals, neighbor and vertex sets 3504 for vertices and their neighbor sets 34160 for input points, outside and coplanar sets, and qhT memory statistics: 1390 quick allocations 687 short allocations 119 long allocations 1421 short frees 119 long frees 36248 bytes of short memory in use 2088 bytes of short memory in freelists 92728 bytes of dropped short memory 520 bytes of unused short memory (estimated) 21640 bytes of long memory allocated (max, except for input) 0 bytes of long memory in use (in 0 pieces) 131064 bytes of short memory buffers (minus links) 65536 bytes per short memory buffer (initially 131072 bytes) 127 calls to qh_setlarger 11 average copy size freelists(bytes->count): 24->4 32->0 40->9 48->0 72->11 120->7 size in bytes: merge 72 ridge 32 vertex 48 facet 120 normal 24 ridge vertices 32 facet vertices or neighbors 40 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): 0.000224 [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): 0.000129 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): 0.001385 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): 0.001374 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): 0.001364 rbox 100 s D3 | qhull T1cvV2P2 [QH1008]qh_readpoints: read in 100 3-dimensional points [QH0013]qh_initqhull_globals: for rbox 100 s D3 | qhull T1cvV2P2 Trace level T1, IStracing 0, point TP2, merge TM0, dist TW1.8e+308, qh.tracefacet_id -1, traceridge_id -1, tracevertex_id -1, last qh.RERUN 0, rbox 100 s D3 | qhull T1cvV2P2 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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 7.2e-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 0.001446 CPU secs. Previous p56(v78) delta 0.001446 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): 0.001518 [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 06:55:05 & 0.000266 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 06:55:05 & 0.000591 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 06:55:05 & 0.000997 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 06:55:05 & 0.001532 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): 0.00216 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): 0.0022 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): 0.000288 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): 0.000285 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): 0.01424 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): 0.000668 QH7076 qhull input warning: exact merge ('Qx'). Verify may report that a point is outside of a facet. See qh-optq.htm#Qx Output completed. Verifying that all points are below outer planes of all facets. Will make 4800 distance computations. rbox 100 D3 | qhull Qi f Pd0 Pd1 Pd2 Pg Tcv Vertices and facets: - p11(v14): -0.31 0.47 0.07 - p59(v8): 0.44 0.42 -0.11 - p33(v3): -0.067 0.49 -0.11 - p48(v25): 0.25 0.24 0.44 - p37(v15): 0.45 0.26 0.04 - p38(v5): 0.42 -0.25 0.42 - f42 - flags: bottom simplicial - normal: 0.1292 0.9495 0.2858 - offset: -0.4221543 - coplanar set(furthest p70): p70: 0.04762 0.3507 -0.06712 furthest distance= -0.1 - vertices: p11(v14) p59(v8) p33(v3) - neighboring facets: f52 f41 f93 - f93 - flags: top simplicial - normal: 0.142 0.9273 0.3463 - offset: -0.4120445 - coplanar set(furthest p28): p27: 0.1182 0.3419 0.068 p25: 0.1663 0.2352 0.3516 p15: 0.2743 0.2665 0.07375 p44: -0.1321 0.3861 0.167 p28: -0.1003 0.4263 0.07335 furthest distance= -0.0056 - vertices: p48(v25) p11(v14) p59(v8) - neighboring facets: f42 f94 f95 - f94 - flags: bottom simplicial - normal: 0.7783 0.4631 0.4241 - offset: -0.4905394 - vertices: p48(v25) p37(v15) p59(v8) - neighboring facets: f47 f93 f97 - f97 - flags: top simplicial - normal: 0.8488 0.2736 0.4523 - offset: -0.4744876 - vertices: p48(v25) p37(v15) p38(v5) - neighboring facets: f46 f99 f94 Output completed. Verifying that all points are below outer planes of all facets. Will make 400 distance computations. rbox c d | qhull Qc f Tcv Vertices and facets: - p6(v6): 0.5 0.5 -0.5 neighbors: f1 f9 f10 - p2(v3): -0.5 0.5 -0.5 neighbors: f1 f3 f10 - p4(v2): 0.5 -0.5 -0.5 neighbors: f1 f2 f9 - p0(v1): -0.5 -0.5 -0.5 neighbors: f1 f2 f3 - p5(v7): 0.5 -0.5 0.5 neighbors: f2 f9 f13 - p1(v4): -0.5 -0.5 0.5 neighbors: f2 f3 f13 - p7(v5): 0.5 0.5 0.5 neighbors: f10 f13 f9 - p3(v8): -0.5 0.5 0.5 neighbors: f3 f10 f13 - f1 - flags: bottom tested - merges: 1 - normal: -0 -0 -1 - offset: -0.5 - center: 0 0 -0.5 - coplanar set(furthest p8): p8: 0 0 -0.5 furthest distance= 0 - vertices: p6(v6) p2(v3) p4(v2) p0(v1) - neighboring facets: f2 f3 f10 f9 - ridges: - r4 tested simplicialtop simplicialbot vertices: p2(v3) p0(v1) between f1 and f3 - r3 tested simplicialtop simplicialbot vertices: p4(v2) p0(v1) between f2 and f1 - r1 tested simplicialtop vertices: p6(v6) p4(v2) between f9 and f1 - r2 tested simplicialbot vertices: p6(v6) p2(v3) between f1 and f10 - f2 - flags: top tested - merges: 1 - normal: 0 -1 0 - offset: -0.5 - center: 0 -0.5 0 - coplanar set(furthest p10): p10: 0 -0.5 0 furthest distance= 0 - vertices: p5(v7) p1(v4) p4(v2) p0(v1) - neighboring facets: f1 f3 f13 f9 - ridges: - r3 tested simplicialtop simplicialbot vertices: p4(v2) p0(v1) between f2 and f1 - r8 tested simplicialtop simplicialbot vertices: p1(v4) p0(v1) between f3 and f2 - r7 tested simplicialtop vertices: p5(v7) p1(v4) between f13 and f2 - r6 tested vertices: p5(v7) p4(v2) between f2 and f9 - f9 - flags: bottom tested - merges: 1 - normal: 1 -0 -0 - offset: -0.5 - center: 0.5 0 0 - coplanar set(furthest p13): p13: 0.5 0 0 furthest distance= 0 - vertices: p5(v7) p6(v6) p7(v5) p4(v2) - neighboring facets: f2 f1 f10 f13 - ridges: - r1 tested simplicialtop vertices: p6(v6) p4(v2) between f9 and f1 - r6 tested vertices: p5(v7) p4(v2) between f2 and f9 - r10 tested simplicialbot vertices: p5(v7) p7(v5) between f9 and f13 - r11 tested simplicialtop simplicialbot vertices: p6(v6) p7(v5) between f10 and f9 - f3 - flags: bottom tested - merges: 1 - normal: -1 -0 -0 - offset: -0.5 - center: -0.5 0 0 - coplanar set(furthest p12): p12: -0.5 0 0 furthest distance= 0 - vertices: p3(v8) p1(v4) p2(v3) p0(v1) - neighboring facets: f1 f2 f13 f10 - ridges: - r4 tested simplicialtop simplicialbot vertices: p2(v3) p0(v1) between f1 and f3 - r13 tested vertices: p3(v8) p2(v3) between f10 and f3 - r14 tested vertices: p3(v8) p1(v4) between f3 and f13 - r8 tested simplicialtop simplicialbot vertices: p1(v4) p0(v1) between f3 and f2 - f10 - flags: top tested - merges: 1 - normal: 0 1 -0 - offset: -0.5 - center: 0 0.5 0 - coplanar set(furthest p11): p11: 0 0.5 0 furthest distance= 0 - vertices: p3(v8) p6(v6) p7(v5) p2(v3) - neighboring facets: f3 f1 f9 f13 - ridges: - r2 tested simplicialbot vertices: p6(v6) p2(v3) between f1 and f10 - r11 tested simplicialtop simplicialbot vertices: p6(v6) p7(v5) between f10 and f9 - r16 tested vertices: p3(v8) p7(v5) between f13 and f10 - r13 tested vertices: p3(v8) p2(v3) between f10 and f3 - f13 - flags: bottom tested - merges: 1 - normal: -0 -0 1 - offset: -0.5 - center: 0 0 0.5 - coplanar set(furthest p9): p9: 0 0 0.5 furthest distance= 0 - vertices: p3(v8) p5(v7) p7(v5) p1(v4) - neighboring facets: f10 f2 f9 f3 - ridges: - r7 tested simplicialtop vertices: p5(v7) p1(v4) between f13 and f2 - r14 tested vertices: p3(v8) p1(v4) between f3 and f13 - r16 tested vertices: p3(v8) p7(v5) between f13 and f10 - r10 tested simplicialbot vertices: p5(v7) p7(v5) between f9 and f13 Output completed. Verifying that all points are below outer planes of all facets. Will make 84 distance computations. rbox c d | qhull Qc p Tcv 3 14 -0.5 -0.5 -0.5 -0.5 -0.5 0.5 -0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 -0.5 0.5 0.5 0.5 0 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 -0.5 0 0 0.5 0 0 Output completed. Verifying that all points are below outer planes of all facets. Will make 84 distance computations. rbox 100 D3 | qhull QbB FO Tcv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.000539 Output completed. Verifying that all points are below outer planes of all facets. Will make 4800 distance computations. rbox 1000 D2 B1e6 | qhull d Qbb FO Tcv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.08748 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 -0.3194671263098746 0.3605569202297553 -0.1534778158747162 0.03516440701453922 0.5 -0.01663016790622804 0.3709299907861695 0.0764863283135003 0.3932651765570926 0.4421392241401819 -0.09396622763110282 0.199424728304684 0.5 0.06620718432588452 -0.2331094527352667 0.3262436269787957 -0.128966098672764 -0.4999999999999999 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 0.1755764518932638 -0.3072535691850387 -0.01073880122111998 -5.738220658251986e-19 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 -0.7218812392989193 0.08400649026409401 7.83139253995295 -2.735252796494545 0.1182274414396169 11.11287098934976 -7.227875597731384 0.01546165115708642 7.114348923589701 -10 -0.01073880122111998 -0.4870359524963758 0.3867462923626845 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 -0.08928142660407053 -0.3194671263098746 0.3605569202297556 -0.153477815874716 0.03516440701453922 0.5 -0.01663016790622797 0.3709299907861695 0.07648632831350012 0.3932651765570926 0.4421392241401819 -0.09396622763110275 0.1994247283046841 0.5 0.06620718432588447 -0.2331094527352668 0.3262436269787957 -0.1289660986727639 -0.5 0.2819439085196089 -0.4999999999999999 0.5 0.3760666748352666 0.1399187075693636 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): 6e-05 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): 5.6e-05 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): 8.1e-05 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): 5.2e-05 Output completed. Verifying that all points are below 1.3e-15 of all facets. Will make 40 distance computations. echo "== next command will error ${d:-`date`} ==" == next command will error Tue Nov 24 06:55:05 UTC 2020 == rbox 10 D2 | qhull Qb1:1B1:1 Tcv QH6154 Qhull precision error: Initial simplex is flat (facet 1 is coplanar with the interior point) While executing: rbox 10 D2 | qhull Qb1:1B1:1 Tcv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 Qbound-dim-low 1 1 QBound-dim-high 1 1 Tcheck-frequently Tverify _pre-merge _zero-centrum _max-width 0.81 Error-roundoff 8.6e-16 _one-merge 4.3e-15 _near-inside 2.1e-14 Visible-distance 1.7e-15 U-max-coplanar 1.7e-15 Width-outside 3.4e-15 _wide-facet 1e-14 _maxoutside 5.1e-15 The input to qhull appears to be less than 2 dimensional, or a computation has overflowed. Qhull could not construct a clearly convex simplex from points: - p0(v3): -0.022 1 - p4(v2): 0.38 1 - p1(v1): -0.43 1 The center point is coplanar with a facet, or a vertex is coplanar with a neighboring facet. The maximum round off error for computing distances is 8.6e-16. The center point, facets and distances to the center point are as follows: center point -0.02391 1 facet p4 p1 distance= 0 facet p0 p1 distance= 0 facet p0 p4 distance= 0 These points either have a maximum or minimum x-coordinate, or they maximize the determinant for k coordinates. Trial points are first selected from points that maximize a coordinate. The min and max coordinates for each dimension are: 0: -0.4285 0.379 difference= 0.8076 1: 1 1 difference= 0 If the input should be full dimensional, you have several options that may determine an initial simplex: - use 'QJ' to joggle the input and make it full dimensional - use 'QbB' to scale the points to the unit cube - use 'QR0' to randomly rotate the input for different maximum points - use 'Qs' to search all points for the initial simplex - use 'En' to specify a maximum roundoff error less than 8.6e-16. - trace execution with 'T3' to see the determinant for each point. If the input is lower dimensional: - use 'QJ' to joggle the input and make it full dimensional - use 'Qbk:0Bk:0' to delete coordinate k from the input. You should pick the coordinate with the least range. The hull will have the correct topology. - determine the flat containing the points, rotate the points into a coordinate plane, and delete the other coordinates. - add one or more points to make the input full dimensional. rbox 200 L20 D2 t | qhull FO Tcv C-0 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 Tcheck-frequently Tverify Centrum-premerge- 0 _zero-centrum _max-width 0.98 Error-roundoff 3.3e-16 _one-merge 1.7e-15 _near-inside 8.3e-15 Visible-distance 6.7e-16 U-max-coplanar 6.7e-16 Width-outside 1.3e-15 _wide-facet 4e-15 Convex hull of 200 points in 2-d: Number of vertices: 200 Number of facets: 200 Statistics for: rbox 200 L20 D2 t1606200905 | qhull FO Tcv C-0 Number of points processed: 200 Number of hyperplanes created: 397 Number of distance tests for qhull: 2067 CPU seconds to compute hull (after input): 0.003457 Output completed. Verifying that all points are below 1e-15 of all facets. Will make 40000 distance computations. rbox 1000 L20 t | qhull FO Tcv C-0 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 Tcheck-frequently Tverify Centrum-premerge- 0 _zero-centrum _max-width 1 Error-roundoff 6.9e-16 _one-merge 4.9e-15 _near-inside 2.4e-14 Visible-distance 1.4e-15 U-max-coplanar 1.4e-15 Width-outside 2.8e-15 _wide-facet 8.3e-15 Convex hull of 1000 points in 3-d: Number of vertices: 58 Number of facets: 112 Statistics for: rbox 1000 L20 t1606200905 | qhull FO Tcv C-0 Number of points processed: 78 Number of hyperplanes created: 351 Number of distance tests for qhull: 16643 CPU seconds to compute hull (after input): 0.001705 Output completed. Verifying that all points are below outer planes of all facets. Will make 112000 distance computations. rbox 200 L20 D4 t | qhull FO Tcv C-0 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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: 66 Number of facets: 323 Statistics for: rbox 200 L20 D4 t1606200905 | qhull FO Tcv C-0 Number of points processed: 76 Number of hyperplanes created: 912 Number of distance tests for qhull: 6070 CPU seconds to compute hull (after input): 0.003919 Output completed. Verifying that all points are below outer planes of all facets. Will make 64600 distance computations. rbox 200 L20 D5 t | qhull FO Tcv Qx Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 Tcheck-frequently Tverify Qxact-merge _zero-centrum _max-width 1 Error-roundoff 1.4e-15 _one-merge 1.5e-14 _near-inside 7.5e-14 Visible-distance 8.2e-15 U-max-coplanar 8.2e-15 Width-outside 1.6e-14 _wide-facet 4.9e-14 Convex hull of 200 points in 5-d: Number of vertices: 94 Number of facets: 1316 Statistics for: rbox 200 L20 D5 t1606200905 | qhull FO Tcv Qx Number of points processed: 109 Number of hyperplanes created: 4476 Number of distance tests for qhull: 20470 CPU seconds to compute hull (after input): 0.01862 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 263200 distance computations. rbox 1000 W1e-3 s D2 t | qhull d FO Tcv Qu Q0 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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: 253 Statistics for: rbox 1000 W1e-3 s D2 t1606200905 | qhull d FO Tcv Qu Q0 Number of points processed: 1000 Number of hyperplanes created: 4508 Number of facets in hull: 1996 Number of distance tests for qhull: 26473 CPU seconds to compute hull (after input): 0.04981 Output completed. Verifying that all points are below 2.1e-15 of all facets. Will make 253000 distance computations. rbox 1000 W1e-3 s D2 t | qhull d FO Tcv Qu C-0 Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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: 253 Statistics for: rbox 1000 W1e-3 s D2 t1606200905 | qhull d FO Tcv Qu C-0 Number of points processed: 1000 Number of hyperplanes created: 4508 Number of facets in hull: 1996 Number of distance tests for qhull: 26473 CPU seconds to compute hull (after input): 0.05356 Output completed. Verifying that all points are below 2.1e-15 of all facets. Will make 253000 distance computations. set +v === check joggle and TRn Tue Nov 24 06:55:05 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: 119031 CPU seconds to compute hull (after input): 0.01309 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: 195828 CPU seconds to compute hull (after input): 0.02655 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: 216485 CPU seconds to compute hull (after input): 0.02796 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): 0.02836 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): 0.02936 Percentage of runs with precision errors: 0.0 Output completed. Verifying that all points are below 2.1e-15 of all facets. Will make 12800 distance computations. rbox 100 | qhull d QJ Qb0:1e4 QB0:1e5 Qb1:1e4 QB1:1e6 Qb2:1e5 QB2:1e7 FO Tv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.001166 Input joggled by: 6.7e+03 Output completed. Verifying that all points are below 0.34 of all facets. Will make 48800 distance computations. set +v === check precision options Tue Nov 24 06:55:05 UTC 2020 rbox 100 D3 s | qhull E0.01 Qx Tcv FO Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.00116 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): 0.000431 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): 0.000318 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): 0.000339 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): 0.000205 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): 0.000222 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): 0.000231 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): 0.009027 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: 135 Number of coplanar points: 865 Number of facets: 85 Number of non-simplicial facets: 79 Statistics for: rbox 1000 s D3 | qhull C-0.01 V0 Qc Tcv Number of points processed: 466 Number of hyperplanes created: 2553 Number of distance tests for qhull: 229241 Number of distance tests for merging: 46990 Number of distance tests for checking: 38013 Number of merged facets: 1805 CPU seconds to compute hull (after input): 0.05681 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 85000 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): 0.009018 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): 0.006327 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): 0.008122 Maximum distance of point above facet: 0.023 (0.8x) Maximum distance of vertex below facet: -0.031 (1.0x) Output completed. Verifying that all points are below outer planes of all facets. Will make 95000 distance computations. rbox 1000 s D3 | qhull C-0.01 Q1 FO Tcv Qc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.009428 Maximum distance of point above facet: 0.02 (0.7x) Maximum distance of vertex below facet: -0.035 (1.2x) Output completed. Verifying that all points are below outer planes of all facets. Will make 97000 distance computations. rbox 1000 s D3 | qhull C-0.01 Q2 FO Tcv Qc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.008732 Maximum distance of point above facet: 0.023 (0.8x) Maximum distance of vertex below facet: -0.049 (1.6x) Output completed. Verifying that all points are below outer planes of all facets. Will make 92000 distance computations. rbox 1000 s D3 | qhull C-0.01 Q3 FO Tcv Qc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.009026 Maximum distance of point above facet: 0.021 (0.7x) Maximum distance of vertex below facet: -0.03 (1.0x) Output completed. Verifying that all points are below outer planes of all facets. Will make 94000 distance computations. rbox 1000 s D3 | qhull C-0.01 Q4 FO Tcv Qc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.009743 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 Tue Nov 24 06:55:05 UTC 2020 rbox 1000 s D3 | qhull C-0.01 Q5 FO Tcv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.007077 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 Tue Nov 24 06:55:05 UTC 2020 rbox 1000 s D3 | qhull C-0.01 Q6 FO Po Tcv Qc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.007673 Maximum distance of point above facet: 0.02 (0.7x) Maximum distance of vertex below facet: -0.009 (0.3x) rbox 1000 s D3 | qhull C-0.01 Q7 FO Tcv Qc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549167545 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): 0.008309 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): 0.008516 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 Tue Nov 24 06:55:05 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: 170 Number of non-simplicial facets: 25 Statistics for: rbox 100 s D3 t1606200905 | qhull R1e-3 Tcv Qc Number of points processed: 100 Number of hyperplanes created: 484 Number of distance tests for qhull: 1676 Number of distance tests for merging: 3309 Number of distance tests for checking: 1747 Number of merged facets: 50 CPU seconds to compute hull (after input): 0.003214 Maximum distance of point above facet: 0.0021 (0.5x) Maximum distance of vertex below facet: -0.0044 (1.1x) Output completed. Verifying that all points are below outer planes of all facets. Will make 17000 distance computations. rbox 100 s D3 t | qhull R1e-2 Tcv Qc Convex hull of 100 points in 3-d: Number of vertices: 60 Number of coplanar points: 40 Number of facets: 59 Number of non-simplicial facets: 36 Statistics for: rbox 100 s D3 t1606200905 | qhull R1e-2 Tcv Qc Number of points processed: 63 Number of hyperplanes created: 267 Number of distance tests for qhull: 3050 Number of distance tests for merging: 3471 Number of distance tests for checking: 2572 Number of merged facets: 120 CPU seconds to compute hull (after input): 0.002453 Maximum distance of point above facet: 0.042 (1.1x) 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 5900 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: 21 Number of coplanar points: 479 Number of facets: 16 Number of non-simplicial facets: 14 Statistics for: rbox 500 s D3 t1606200905 | qhull R0.05 A-1 Tcv Qc Number of points processed: 24 Number of hyperplanes created: 81 Number of distance tests for qhull: 21582 Number of distance tests for merging: 1237 Number of distance tests for checking: 6922 Number of merged facets: 50 CPU seconds to compute hull (after input): 0.002114 Maximum distance of point above facet: 0.16 (0.3x) 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 8000 distance computations. rbox 100 W0 D3 t | qhull R1e-3 Tcv Qc Convex hull of 100 points in 3-d: Number of vertices: 43 Number of coplanar points: 57 Number of facets: 52 Number of non-simplicial facets: 9 Statistics for: rbox 100 W0 D3 t1606200905 | qhull R1e-3 Tcv Qc Number of points processed: 49 Number of hyperplanes created: 161 Number of distance tests for qhull: 1756 Number of distance tests for merging: 1446 Number of distance tests for checking: 1468 Number of merged facets: 44 CPU seconds to compute hull (after input): 0.00109 Maximum distance of point above facet: 0.0039 (1.0x) Maximum distance of vertex below facet: -0.005 (1.3x) Output completed. Verifying that all points are below outer planes of all facets. Will make 5200 distance computations. rbox 100 W0 D3 t | qhull R1e-3 Qx Tcv Qc Convex hull of 100 points in 3-d: Number of vertices: 43 Number of coplanar points: 57 Number of facets: 52 Number of non-simplicial facets: 8 Statistics for: rbox 100 W0 D3 t1606200905 | qhull R1e-3 Qx Tcv Qc Number of points processed: 49 Number of hyperplanes created: 174 Number of distance tests for qhull: 2545 Number of distance tests for merging: 1703 Number of distance tests for checking: 1202 Number of merged facets: 44 CPU seconds to compute hull (after input): 0.001154 Maximum distance of point above facet: 0.0017 (0.4x) Maximum distance of vertex below facet: -0.0057 (1.4x) QH7076 qhull input warning: exact merge ('Qx'). Verify may report that a point is outside of a facet. See qh-optq.htm#Qx Output completed. Verifying that all points are below outer planes of all facets. Will make 5200 distance computations. rbox 100 W0 D3 t | qhull R1e-2 Tcv Qc Convex hull of 100 points in 3-d: Number of vertices: 27 Number of coplanar points: 73 Number of facets: 27 Number of non-simplicial facets: 10 Statistics for: rbox 100 W0 D3 t1606200905 | qhull R1e-2 Tcv Qc Number of points processed: 35 Number of hyperplanes created: 107 Number of distance tests for qhull: 2259 Number of distance tests for merging: 1291 Number of distance tests for checking: 1368 Number of merged facets: 48 CPU seconds to compute hull (after input): 0.00086 Maximum distance of point above facet: 0.028 (0.7x) 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 2700 distance computations. rbox 100 W0 D3 t | qhull R1e-2 Qx Tcv Qc Convex hull of 100 points in 3-d: Number of vertices: 25 Number of coplanar points: 75 Number of facets: 26 Number of non-simplicial facets: 11 Statistics for: rbox 100 W0 D3 t1606200905 | qhull R1e-2 Qx Tcv Qc Number of points processed: 33 Number of hyperplanes created: 93 Number of distance tests for qhull: 2515 Number of distance tests for merging: 1159 Number of distance tests for checking: 1030 Number of merged facets: 38 CPU seconds to compute hull (after input): 0.00077 Maximum distance of point above facet: 0.029 (0.7x) Maximum distance of vertex below facet: -0.053 (1.3x) 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 2600 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: 9 Number of coplanar points: 491 Number of facets: 7 Number of non-simplicial facets: 6 Statistics for: rbox 500 W0 D3 t1606200905 | qhull R0.05 A-1 Tcv Qc Number of points processed: 14 Number of hyperplanes created: 36 Number of distance tests for qhull: 11785 Number of distance tests for merging: 387 Number of distance tests for checking: 3840 Number of merged facets: 19 CPU seconds to compute hull (after input): 0.001051 Maximum distance of point above facet: 0.11 (0.2x) Maximum distance of vertex below facet: -0.15 (0.3x) Output completed. Verifying that all points are below outer planes of all facets. Will make 3500 distance computations. rbox 500 W0 D3 t | qhull R0.05 Qx Tcv Qc Convex hull of 500 points in 3-d: Number of vertices: 10 Number of coplanar points: 490 Number of facets: 7 Number of non-simplicial facets: 7 Statistics for: rbox 500 W0 D3 t1606200905 | qhull R0.05 Qx Tcv Qc Number of points processed: 14 Number of hyperplanes created: 28 Number of distance tests for qhull: 13166 Number of distance tests for merging: 397 Number of distance tests for checking: 3846 Number of merged facets: 19 CPU seconds to compute hull (after input): 0.001277 Maximum distance of point above facet: 0.13 (0.7x) Maximum distance of vertex below facet: -0.16 (0.8x) 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 3500 distance computations. rbox 1000 W1e-20 t | qhull Tcv Qc Convex hull of 1000 points in 3-d: Number of vertices: 79 Number of coplanar points: 921 Number of facets: 93 Number of non-simplicial facets: 6 Statistics for: rbox 1000 W1e-20 t1606200905 | qhull Tcv Qc Number of points processed: 97 Number of hyperplanes created: 305 Number of distance tests for qhull: 19994 Number of distance tests for merging: 3081 Number of distance tests for checking: 16352 Number of merged facets: 97 CPU seconds to compute hull (after input): 0.003846 Output completed. Verifying that all points are below outer planes of all facets. Will make 93000 distance computations. rbox 1000 W1e-20 D4 t | qhull Tcv Qc Convex hull of 1000 points in 4-d: Number of vertices: 276 Number of coplanar points: 724 Number of facets: 1003 Number of non-simplicial facets: 8 Statistics for: rbox 1000 W1e-20 D4 t1606200905 | qhull Tcv Qc Number of points processed: 357 Number of hyperplanes created: 4652 Number of distance tests for qhull: 76410 Number of distance tests for merging: 55668 Number of distance tests for checking: 86465 Number of merged facets: 1103 CPU seconds to compute hull (after input): 0.1185 Output completed. Verifying that all points are below outer planes of all facets. Will make 1003000 distance computations. rbox 500 W1e-20 D5 t | qhull Tv Qc Convex hull of 500 points in 5-d: Number of vertices: 343 Number of coplanar points: 157 Number of facets: 5465 Number of non-simplicial facets: 10 Statistics for: rbox 500 W1e-20 D5 t1606200906 | qhull Tv Qc Number of points processed: 413 Number of hyperplanes created: 28724 Number of distance tests for qhull: 129466 Number of distance tests for merging: 310402 Number of distance tests for checking: 119545 Number of merged facets: 3659 CPU seconds to compute hull (after input): 0.059 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 2732500 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: 5391 Number of non-simplicial facets: 10 Statistics for: rbox 100 W1e-20 D6 t1606200906 | qhull Tv Qc Number of points processed: 100 Number of hyperplanes created: 20704 Number of distance tests for qhull: 32649 Number of distance tests for merging: 181779 Number of distance tests for checking: 56151 Number of merged facets: 170 CPU seconds to compute hull (after input): 0.0386 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 539100 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: 1917 Number of non-simplicial facets: 1 Statistics for: rbox 50 W1e-20 D6 t1606200906 | qhull Qv Tv Qc Number of points processed: 50 Number of hyperplanes created: 5571 Number of distance tests for qhull: 8162 Number of distance tests for merging: 3093291 Number of distance tests for checking: 19642 Number of merged facets: 9 CPU seconds to compute hull (after input): 0.1023 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 95850 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: 7945 Number of facets: 8 Number of non-simplicial facets: 8 Statistics for: rbox 10000 D4 t1606200906 | qhull QR0 Qc C-0.01 A0.3 Tv QR1606200906 Number of points processed: 63 Number of hyperplanes created: 397 Number of distance tests for qhull: 1611631 Number of distance tests for merging: 35751 Number of distance tests for checking: 90024 Number of merged facets: 471 CPU seconds to compute hull (after input): 0.06605 Maximum distance of point above facet: 0.04 Maximum distance of vertex below facet: -0.15 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: 11 Statistics for: rbox 1000 D2 t1606200906 | qhull d QR0 Qc C-1e-8 Qu Tv QR1606200906 Number of points processed: 1000 Number of hyperplanes created: 5537 Number of facets in hull: 1996 Number of distance tests for qhull: 28066 CPU seconds to compute hull (after input): 0.006722 Output completed. Verifying that all points are below outer planes of all facets. Will make 11000 distance computations. rbox 300 D5 t |qhull A-0.999 Qx Qc Tcv Convex hull of 300 points in 5-d: Number of vertices: 149 Number of coplanar points: 26 Number of facets: 1641 Number of non-simplicial facets: 402 Statistics for: rbox 300 D5 t1606200906 | qhull A-0.999 Qx Qc Tcv Number of points processed: 191 Number of hyperplanes created: 12071 Number of distance tests for qhull: 179037 Number of distance tests for merging: 54216 Number of distance tests for checking: 29185 Number of merged facets: 1019 CPU seconds to compute hull (after input): 0.03816 Maximum distance of vertex below facet: -0.025 (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 492300 distance computations. rbox 100 D6 t |qhull A-0.9999 Qx Qc Tcv Convex hull of 100 points in 6-d: Number of vertices: 82 Number of coplanar points: 1 Number of facets: 3377 Number of non-simplicial facets: 208 Statistics for: rbox 100 D6 t1606200906 | qhull A-0.9999 Qx Qc Tcv Number of points processed: 91 Number of hyperplanes created: 14695 Number of distance tests for qhull: 37044 Number of distance tests for merging: 57133 Number of distance tests for checking: 57915 Number of merged facets: 501 CPU seconds to compute hull (after input): 0.03519 Maximum distance of vertex below facet: -0.0064 (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 337700 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: 46 Number of coplanar points: 3 Number of facets: 4193 Number of non-simplicial facets: 69 Statistics for: rbox 50 D7 t1606200906 | qhull A-0.99999 Qx Qc Tcv W0.1 Number of points processed: 47 Number of hyperplanes created: 11416 Number of distance tests for qhull: 23252 Number of distance tests for merging: 54598 Number of distance tests for checking: 141944 Number of merged facets: 195 CPU seconds to compute hull (after input): 0.03391 Maximum distance of point above facet: 0.087 Maximum distance of vertex below facet: -0.0016 (0.1x) 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 209650 distance computations. set +v ======================================================= === The following commands may cause errors Tue Nov 24 06:55:06 UTC 2020 ======================================================= === check bad cases for Qhull Tue Nov 24 06:55:06 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: 880 Number of facets: 1659 Number of non-simplicial facets: 30 Statistics for: rbox 1000 L100000 s G1e-6 t1606200906 | qhull Tv Number of points processed: 888 Number of hyperplanes created: 7157 Number of distance tests for qhull: 166266 Number of distance tests for merging: 756751 Number of distance tests for checking: 21813 Number of merged facets: 3330 CPU seconds to compute hull (after input): 0.05107 Maximum distance of point above facet: 1.3e-11 (2350.0x) Maximum distance of vertex below facet: -4.6e-15 (0.8x) Output completed. Verifying that all points are below outer planes of all facets. Will make 1659000 distance computations. rbox 1000 L100000 s G1e-6 t | qhull Tv Q10 Convex hull of 1000 points in 3-d: Number of vertices: 878 Number of facets: 1657 Number of non-simplicial facets: 30 Statistics for: rbox 1000 L100000 s G1e-6 t1606200906 | qhull Tv Q10 Number of points processed: 885 Number of hyperplanes created: 7151 Number of distance tests for qhull: 319292 Number of distance tests for merging: 755540 Number of distance tests for checking: 21765 Number of merged facets: 3326 CPU seconds to compute hull (after input): 0.05312 Maximum distance of point above facet: 1.3e-11 (2350.0x) Maximum distance of vertex below facet: -4.6e-15 (0.8x) Output completed. Verifying that all points are below outer planes of all facets. Will make 1657000 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: 1498 Number of non-simplicial facets: 163 Statistics for: rbox 1000 s Z1 G1e-13 t1606200906 | qhull Tv Number of points processed: 1001 Number of hyperplanes created: 4233 Number of distance tests for qhull: 30341 Number of distance tests for merging: 76718 Number of distance tests for checking: 233490 Number of merged facets: 1323 CPU seconds to compute hull (after input): 0.01596 Maximum distance of point above facet: 1e-14 (1.8x) Maximum distance of vertex below facet: -1.1e-14 (1.9x) Output completed. Verifying that all points are below outer planes of all facets. Will make 1499498 distance computations. rbox 1000 s W1e-13 P0 t | qhull d Qbb Qc Q12 Tv QH6417 qhull precision error (qh_merge_twisted): twisted facet f17823 does not contain pinched vertices. Too wide to merge into neighbor. mindist -1.5e-11 maxdist 9.2e-14 vertexdist 0.004 maxpinched 1.8e-13 neighbor f18745 mindist -1.9e-13 maxdist 0 ERRONEOUS FACET: - f17823 - flags: bottom upperDelaunay tested keepcentrum - merges: 511max - normal: 1.795e-13 1.289e-13 -2.639e-13 1 - offset: -0.4992687 - center: -0.2685926854219817 0.1290659439885004 -0.3138932222047404 0.4992687226536132 - maxoutside: 1.539324e-13 - vertices: p323(v670) p65(v669) p888(v667) p642(v666) p376(v662) p491(v661) p416(v659) p744(v656) p198(v654) p573(v644) p413(v642) p775(v639) p658(v638) p611(v637) p872(v636) p330(v635) p697(v634) p940(v631) p175(v630) p149(v629) p895(v627) p8(v626) p445(v625) p728(v624) p671(v623) p183(v622) p53(v621) p531(v620) p226(v619) p717(v618) p39(v617) p154(v616) p524(v615) p405(v614) p936(v613) p968(v612) p779(v611) p59(v610) p73(v609) p976(v608) p351(v607) p192(v606) p250(v605) p264(v604) p528(v603) p54(v602) p298(v601) p145(v600) p842(v599) p355(v598) p764(v597) p526(v596) p236(v595) p419(v594) p12(v593) p156(v592) p229(v591) p690(v590) p170(v589) p806(v588) p457(v587) p746(v586) p253(v585) p23(v584) p373(v583) p195(v582) p1(v581) p104(v580) p204(v579) p469(v578) p436(v577) p33(v576) p475(v575) p336(v574) p752(v573) p205(v572) p111(v571) p617(v570) p155(v569) p179(v568) p722(v567) p547(v566) p827(v565) p453(v564) p399(v563) p906(v562) p6(v561) p812(v560) p290(v559) p252(v558) p301(v557) p981(v556) p148(v555) p152(v554) p75(v553) p411(v552) p254(v551) p789(v550) p248(v549) p749(v548) p613(v547) p30(v546) p668(v545) p601(v544) p514(v543) p923(v542) p430(v541) p633(v540) p235(v539) p693(v538) p213(v537) p620(v536) p395(v535) p511(v534) p24(v533) p538(v532) p16(v531) p821(v530) p928(v529) p463(v528) p80(v527) p262(v526) p865(v525) p256(v524) p844(v523) p575(v522) p89(v521) p949(v520) p129(v519) p826(v518) p927(v517) p825(v516) p51(v515) p325(v514) p544(v513) p119(v512) p829(v511) p534(v510) p425(v509) p224(v508) p354(v507) p619(v506) p459(v505) p609(v504) p935(v503) p791(v502) p618(v501) p84(v500) p455(v499) p271(v498) p564(v497) p31(v496) p40(v495) p364(v494) p504(v493) p200(v492) p212(v491) p116(v490) p408(v489) p738(v488) p846(v487) p171(v486) p123(v485) p456(v484) p464(v483) p225(v482) p242(v481) p638(v480) p421(v479) p258(v478) p25(v477) p365(v476) p299(v475) p988(v474) p507(v473) p379(v472) p246(v471) p740(v470) p912(v469) p150(v468) p799(v467) p904(v466) p412(v465) p527(v464) p138(v463) p639(v462) p313(v461) p61(v460) p672(v459) p529(v458) p736(v457) p131(v456) p499(v455) p758(v454) p81(v453) p194(v452) p232(v451) p386(v450) p994(v449) p804(v448) p385(v447) p397(v446) p760(v445) p479(v444) p11(v443) p659(v442) p889(v441) p78(v440) p109(v439) p446(v438) p536(v437) p991(v436) p810(v435) p705(v434) p320(v433) p716(v432) p986(v431) p473(v430) p704(v429) p77(v428) p656(v427) p805(v426) p72(v425) p996(v424) p352(v423) p492(v422) p181(v421) p383(v420) p801(v419) p790(v418) p56(v417) p721(v416) p959(v415) p870(v414) p954(v413) p428(v412) p992(v411) p930(v410) p979(v409) p99(v408) p406(v407) p548(v406) p64(v405) p340(v404) p735(v403) p500(v402) p374(v401) p249(v400) p512(v399) p695(v398) p396(v397) p341(v396) p772(v395) p574(v394) p125(v393) p42(v392) p768(v391) p222(v390) p124(v389) p368(v388) p188(v387) p784(v386) p551(v385) p266(v384) p943(v383) p196(v382) p917(v381) p754(v380) p714(v379) p478(v378) p947(v377) p871(v376) p559(v375) p902(v374) p831(v373) p493(v372) p221(v371) p975(v370) p811(v369) p424(v368) p856(v367) p263(v366) p563(v365) p840(v364) p739(v363) p234(v362) p282(v361) p319(v360) p169(v359) p427(v358) p91(v357) p572(v356) p525(v355) p922(v354) p724(v353) p87(v352) p165(v351) p720(v350) p560(v349) p120(v348) p370(v347) p450(v346) p614(v345) p466(v344) p251(v343) p907(v342) p159(v341) p392(v340) p911(v339) p933(v338) p802(v337) p190(v336) p599(v335) p438(v334) p631(v333) p709(v332) p97(v331) p199(v330) p219(v329) p592(v328) p584(v327) p729(v326) p726(v325) p921(v324) p76(v323) p230(v322) p488(v321) p657(v320) p447(v319) p506(v318) p359(v317) p218(v316) p324(v315) p597(v314) p903(v313) p836(v312) p415(v311) p295(v310) p202(v309) p38(v308) p650(v307) p908(v306) p767(v305) p189(v304) p909(v303) p345(v302) p625(v301) p137(v300) p322(v299) p481(v298) p713(v297) p696(v296) p583(v295) p434(v294) p20(v293) p193(v292) p818(v291) p543(v290) p144(v289) p502(v288) p223(v287) p634(v285) p151(v284) p122(v283) p361(v282) p803(v281) p454(v280) p46(v279) p932(v278) p640(v277) p859(v276) p495(v275) p797(v274) p737(v273) p484(v272) p257(v271) p280(v270) p857(v269) p505(v268) p440(v267) p562(v266) p273(v265) p886(v264) p539(v263) p161(v262) p850(v261) p643(v260) p45(v259) p817(v258) p997(v257) p367(v256) p176(v255) p158(v254) p533(v253) p517(v252) p675(v251) p556(v250) p197(v249) p414(v248) p110(v247) p550(v246) p342(v245) p215(v244) p590(v243) p378(v242) p318(v241) p663(v240) p210(v239) p461(v238) p207(v237) p496(v236) p630(v235) p600(v234) p276(v233) p294(v232) p685(v231) p269(v230) p173(v229) p133(v228) p100(v227) p820(v226) p403(v225) p480(v224) p490(v223) p918(v222) p147(v221) p607(v220) p924(v219) p674(v218) p350(v217) p787(v216) p984(v215) p587(v214) p765(v213) p18(v212) p272(v211) p398(v210) p380(v209) p554(v208) p938(v207) p756(v206) p680(v205) p761(v204) p126(v203) p433(v202) p86(v201) p300(v200) p995(v199) p468(v198) p88(v197) p920(v196) p651(v195) p344(v194) p90(v193) p472(v192) p867(v191) p809(v190) p793(v189) p890(v188) p701(v187) p593(v186) p879(v185) p363(v184) p569(v183) p71(v182) p743(v181) p278(v180) p426(v179) p594(v178) p647(v177) p439(v176) p327(v175) p977(v174) p462(v173) p50(v172) p688(v171) p57(v170) p819(v169) p774(v168) p402(v167) p208(v166) p682(v165) p858(v164) p1000(v163) p980(v162) p629(v161) p267(v160) p153(v159) p762(v158) p326(v157) p216(v156) p115(v155) p914(v154) p667(v153) p868(v152) p894(v151) p228(v150) p180(v149) p944(v148) p747(v147) p983(v146) p14(v145) p916(v144) p788(v143) p603(v142) p875(v141) p540(v140) p2(v139) p678(v138) p741(v137) p635(v136) p561(v135) p435(v134) p955(v133) p567(v132) p293(v131) p28(v130) p934(v129) p699(v128) p745(v127) p893(v126) p874(v125) p783(v124) p314(v123) p451(v122) p32(v121) p964(v120) p649(v119) p255(v118) p289(v117) p683(v116) p974(v115) p211(v114) p114(v113) p753(v112) p848(v111) p121(v110) p237(v109) p498(v108) p763(v107) p303(v106) p622(v105) p873(v104) p953(v103) p508(v102) p707(v101) p608(v100) p66(v99) p74(v98) p861(v97) p881(v96) p136(v95) p291(v94) p477(v93) p5(v92) p897(v91) p670(v90) p162(v89) p206(v88) p334(v87) p142(v86) p808(v85) p274(v84) p105(v83) p384(v82) p854(v81) p835(v80) p816(v79) p691(v78) p610(v77) p209(v76) p467(v75) p566(v74) p993(v73) p247(v72) p757(v71) p260(v70) p128(v69) p470(v68) p661(v67) p135(v66) p878(v65) p759(v64) p240(v63) p999(v62) p971(v61) p641(v60) p127(v59) p644(v58) p401(v57) p261(v56) p444(v55) p471(v54) p837(v53) p245(v52) p887(v51) p973(v50) p113(v49) p961(v48) p49(v47) p489(v46) p501(v45) p510(v44) p727(v43) p725(v42) p241(v41) p628(v40) p382(v39) p926(v38) p270(v37) p665(v36) p36(v35) p781(v34) p98(v33) p864(v32) p605(v31) p17(v30) p681(v29) p708(v28) p394(v27) p623(v26) p915(v25) p315(v24) p828(v23) p832(v22) p487(v21) p37(v20) p358(v19) p637(v18) p47(v17) p602(v16) p423(v15) p307(v14) p965(v13) p297(v12) p755(v11) p553(v10) p852(v9) p956(v8) p579(v7) p214(v6) p648(v4) p292(v3) p978(v2) p748(v1) - neighboring facets: f9162 f9127 f8703 f9049 f9128 f9126 f8709 f9183 f8784 f6025 f9083 f9190 f8939 f8785 f9166 f3565 f9172 f9094 f9171 f9129 f5405 f9201 f9053 f6014 f9056 f8859 f9052 f8946 f9055 f8936 f5798 f5667 f3465 f9082 f9051 f8757 f8945 f8942 f3541 f8937 f3462 f9195 f9048 f5950 f9046 f8858 f9191 f9095 f3556 f9096 f9097 f3557 f8741 f5951 f8943 f4787 f4903 f3320 f5932 f4837 f7636 f7638 f6378 f7637 f7634 f3308 f7633 f9040 f3304 f3306 f3305 f4892 f3307 f7607 f7608 f3318 f7609 f5952 f11030 f11035 f8888 f11027 f11032 f8889 f8898 f8869 f865 f8890 f5659 f8867 f8991 f8868 f9041 f8866 f5938 f8899 f1420 f1804 f4786 f8993 f5668 f5658 f8992 f5427 f8994 f3394 f5797 f8740 f8731 f10945 f6310 f10944 f10955 f10933 f10935 f10962 f10925 f10939 f6334 f10940 f9972 f10942 f9949 f10936 f10545 f10544 f10931 f9946 f10953 f10960 f10927 f6264 f6292 f10958 f10963 f10957 f8905 f10950 f9943 f17217 f9944 f6268 f10930 f9951 f9959 f6232 f6228 f9956 f6212 f9973 f6147 f10546 f6314 f6317 f10547 f6318 f6295 f6140 f6313 f6311 f6294 f10952 f6301 f3902 f4912 f4819 f7721 f7714 f7716 f7641 f7717 f4927 f7709 f7728 f4926 f18512 f7703 f7720 f8503 f7588 f4924 f7711 f7718 f7713 f7702 f18745 f8243 f18742 f7708 f7706 f7593 f7647 f18726 f18719 f7594 f7644 f4947 f4792 f7584 f4946 f2805 f7736 f4791 f7585 f7734 f7735 f4797 f7587 f8426 f7404 f4790 f8174 f18733 f18740 f8242 f3163 f7631 f8428 f18731 f18734 f18724 f8196 f8208 f18705 f18706 f18723 f8514 f18711 f5672 f8689 f8207 f8608 f8346 f8427 f8335 f8425 f8214 f8244 f8345 f8332 f8336 f8652 f8625 f8364 f7619 f4950 f7620 f7618 f8611 f5673 f7616 f18716 f8438 f8539 f8390 f8540 f18406 f8545 f8525 f8544 f8398 f7406 f8395 f8522 f8397 f3253 f8524 f8609 f8523 f5586 f8339 f7405 f8362 f8418 f8536 f18451 f8520 f5593 f8402 f8515 f8419 f8541 f8521 f8510 f8630 f18444 f5528 f4951 f18477 f9571 f7193 f18446 f9164 f18457 f18416 f18455 f18368 f17181 f17182 f18414 f18452 f18387 f18422 f17201 f17740 f18460 f17184 f18370 f18497 f18412 f18441 f18448 f17190 f7152 f7137 f18487 f6992 f18485 f4538 f18440 f18400 f18419 f6859 f18437 f8535 f18405 f18608 f18607 f17179 f17205 f6368 f7348 f18616 f18648 f6367 f18650 f11039 f4640 f18656 f4634 f18651 f7389 f7353 f4027 f18621 f7388 f18606 f6357 f6354 f4028 f6355 f3964 f10988 f6389 f3962 f11038 f6386 f18625 f6387 f6383 f11040 f7956 f6381 f6373 f12089 f12090 f7352 f7727 f7655 f7724 f7656 f7679 f2785 f7568 f4863 f7694 f7723 f3170 f18531 f3171 f4983 f18435 f2789 f7678 f1470 f7691 f7347 f2797 f7350 f6376 f4893 f7681 f7354 f4616 f7682 f4902 f7699 f7383 f7526 f7534 f4693 f7563 f7567 f7051 f7535 f4760 f4758 f4755 f7555 f7536 f7653 f4769 f18701 f7652 f7700 f18714 f7654 f7562 f8400 f4086 f7073 f18364 f6501 f11057 f7175 f11005 f11000 f6500 f11024 f12072 f12065 f13299 f13288 f11001 f7062 f10992 f10995 f18431 f18554 f18551 f18428 f8132 f8154 f11006 f11007 f11003 f10996 f10987 f18417 f8139 f7067 f18560 f18427 f7090 f4454 f8140 f7072 f7068 f7066 f18565 f18506 f7091 f4982 f18500 f7102 f18492 f18491 f11025 f11022 f12067 f18523 f18498 f18450 f18586 f18520 f7050 f18603 f18438 f7013 f18529 f8170 f9572 f18425 f18630 f4431 f9574 f18627 f7432 f18501 f7174 f18590 f4430 f18591 f13294 f13298 f8171 f5288 f13296 f5286 f5306 f12093 f12083 f12079 f12095 f12084 f12086 f9121 f12092 f12094 f6420 f6422 f6380 f9100 f9606 f12087 f11028 f12081 f4008 f9000 f9101 f9117 f11034 f6343 f6342 f6409 f11037 f12077 f11050 f9109 f12071 f12076 f6394 f13285 f11053 f11049 f9110 f11052 f12070 f5387 f9108 f9103 f8106 f12062 f9585 f12063 f12059 f12057 f9586 f13290 f12068 f12060 f12165 f9584 f6489 f12162 f13292 f8167 f6492 f8816 f9583 f12183 f12181 f6289 f6495 f7858 f6478 f12163 f13287 f9105 f5332 f12178 f5330 f7926 f8064 f12158 f12146 f12154 f3588 f12166 f12153 f6473 f12156 f12173 f12144 f6445 f12176 f12179 f12159 f6444 f6056 f12171 f8107 f8071 f5233 f8108 f8105 f8172 f8072 f8096 f7829 f8087 f6057 f8041 f8038 f8039 f8097 f7861 f8040 f7857 f8037 f8036 f8148 f8747 f8814 f3543 f8748 f5388 f8743 f8815 f1896 f9102 f1895 f8746 f1892 f8742 f5687 f8732 f9559 f9557 f9556 f8014 f8018 f8019 f8015 f8016 f7962 f8752 f8786 f8846 f8787 f8817 f8848 f7964 f7965 f3756 f3771 f1977 f3757 f6459 f3759 f12180 f7994 f12182 f6456 f9579 f6476 f6460 f3664 f6475 f8768 f9086 f8845 f8839 f9077 f8807 f9066 f9068 f5988 f9070 f5891 f1934 f9080 f9067 f5864 f9084 f5827 f6291 f8825 f8840 f8791 f8855 f8824 f5736 f8856 f5735 f3915 f8849 f8790 f9078 f3929 f8806 f5853 f5892 f18503 f5994 f5881 f8908 f5831 f3500 f3499 f5828 f5869 f8903 f3928 f3925 f8909 f9072 f1015 f8902 f9075 f5867 f3926 f3775 f5866 f6472 f2847 f9566 f6182 f2858 f2857 f3769 f3760 f3753 f3763 f3762 f3772 f6178 f9958 f3776 f3752 f9604 f3774 f1987 f8739 f9565 f9563 f9953 f9954 f6181 f2056 f5425 f8687 f5896 f3141 f5424 f8912 f8918 f5455 f14700 f3335 f8684 f5457 f8913 f8686 f9163 f13516 f8688 f3336 f1697 f5894 f5895 f5897 f8917 f3498 f8915 f5990 f5992 f9087 f8940 f2531 f5999 f2536 f13515 f5998 f5993 f8916 f2516 f1262 f3088 f1583 f5242 f8622 f4268 f4563 f6142 f3740 f3705 f4569 f3520 f13400 f1935 f13304 f9558 f13303 f3746 f5454 f10969 f9576 f6871 f8562 f6666 f6799 f6885 f6884 f15940 f13403 f6845 f13300 f6798 f6848 f6844 f13402 f8590 f6847 f13498 f6721 f17196 f13499 f13386 f6866 f13430 f6698 f13431 f6770 f13407 f14716 f13504 f6728 f13503 f6576 f13428 f13505 f8591 f6727 f6589 f6723 f4164 f13502 f13405 f13410 f6578 f13501 f13411 f8593 f8563 f13301 f10928 f6592 f6591 f6585 f6171 f13408 f15939 f13427 f13426 f4292 f8560 f8592 f14712 f5651 f8594 f3747 f15936 f6792 f6785 f14701 f15937 f14717 f6793 f14702 f6737 f4560 f13514 f4574 f4570 f2561 f14699 f6269 f4579 f15737 f13415 f4226 f15934 f4578 f8620 f8621 f14714 f2566 f15932 f6738 f15931 f5649 f6577 f9590 f6783 f10965 f17176 f6138 f14713 f4557 f6784 f6782 f6667 f6139 f6162 f15938 f9588 f3711 f14710 f17177 f6164 f14707 f1963 f14708 f10966 f9597 f6136 f15738 f9593 f9596 f6296 f9589 f13413 f17197 f17194 f17193 f6842 f10968 f5287 f5241 f7828 f9214 f9215 f9210 f9206 f7925 f7833 f9207 f5329 f9212 f6059 f7992 f12174 f7993 f7830 f5291 f3027 f5025 f7757 f7854 f7745 f7901 f7883 f7843 f7754 f5078 f5057 f5125 f7746 f7923 f3026 f7844 f5058 f5056 f7758 f5136 f5026 f7902 f7853 f7870 f7882 f7839 f5170 f7846 f7895 f7845 f7847 f18365 f7898 f7880 f5127 f7881 f7894 f7897 f5237 f7831 f8439 f8413 f8429 f5580 f8401 f8414 f8412 f8415 f7528 f8508 f8403 f8507 f7525 f8424 f8499 f8501 f8498 f4757 f8502 f8565 f8564 f8559 f8629 f8661 f4568 f8664 f8653 f18712 f18715 f7554 f18702 f7539 f7556 f7052 f7840 f9182 f9196 f9043 f9165 f6029 f4514 f17229 f5404 f7144 f7133 f7150 f8135 f7146 f7149 f4535 f18443 f17188 f18383 f17187 f8618 f6700 f8551 f8619 f13390 f8549 f18389 f6701 f6545 f8615 f8548 f18395 f9578 f13394 f13381 f13395 f13387 f13389 f13392 f13398 f18390 f10976 f18494 f10984 f7310 f6356 f10977 f3946 f3931 f4658 f10971 f6364 f3933 f4659 f6363 f4660 f18398 f18693 f4664 f7292 f4663 f7297 f18632 f6321 f7312 f10982 f10972 f10980 f7040 f10985 f10974 f10979 f18397 f4643 f4652 f18686 f7449 f18647 f18653 f7509 f4464 f18657 f4653 f7495 f7309 f7493 f18695 f7311 f18604 f7459 f7049 f18629 f18575 f7127 f18570 f18638 f18640 f18636 f18543 f18633 f18538 f4466 f18691 f7053 f18517 f10993 f18688 f4728 f7456 f7460 f7036 f8150 f4534 f8131 f7856 f8149 f5414 f18585 f5421 f8130 f7859 f7869 f5413 f8120 f4517 f18588 f8127 f8124 f8122 f8128 f7155 f18583 f18424 f4991 f7911 f7939 f9614 f7919 f3806 f6668 f6209 f9613 f9617 f7936 f3809 f729 f1910 f7759 f9612 f6891 f9948 f3802 f3808 f7909 f9961 f9964 f5195 f7910 f7903 f5226 f6253 f6252 f4988 f7908 f2336 f9960 f7772 f7937 f5227 f9974 f6632 f17213 f4165 f17211 f13421 f4159 f4160 f17208 f17214 f17207 f7918 f6894 f2334 f2335 f4301 f17227 f17223 f6896 f13418 f13424 f13425 f6633 f13422 f2993 f2330 f5131 f5130 f7912 f7760 f5032 f9971 f9963 f6669 f6636 f6635 f6634 f9602 f9605 f7915 f6895 f9601 f9607 f17216 f8004 f4329 f7920 f7935 f7914 f17224 f17231 f17226 f13416 f6893 f18703 f18709 f18728 f18730 f18736 f18741 f18738 - ridges: - r31006 tested simplicialtop simplicialbot vertices: p752(v573) p695(v398) p215(v244) between f9162 and f17823 - r31002 tested simplicialbot vertices: p205(v572) p695(v398) p215(v244) between f17823 and f9127 - r31018 tested simplicialbot vertices: p613(v547) p215(v244) p590(v243) between f17823 and f8703 - r31381 tested simplicialbot vertices: p827(v565) p453(v564) p852(v9) between f17823 and f9049 - r31235 tested simplicialbot vertices: p205(v572) p613(v547) p934(v129) between f17823 and f9128 - r31167 tested simplicialtop vertices: p205(v572) p695(v398) p934(v129) between f9126 and f17823 - r30120 tested simplicialbot vertices: p613(v547) p754(v380) p934(v129) between f17823 and f8709 - r29211 tested simplicialbot vertices: p336(v574) p695(v398) p294(v232) between f17823 and f9183 - r31163 tested simplicialbot vertices: p254(v551) p294(v232) p934(v129) between f17823 and f8784 - r29207 tested simplicialtop vertices: p695(v398) p294(v232) p934(v129) between f6025 and f17823 - r31354 tested simplicialtop vertices: p179(v568) p547(v566) p461(v238) between f9083 and f17823 - r30088 tested simplicialtop vertices: p336(v574) p943(v383) p294(v232) between f9190 and f17823 - r28821 tested simplicialbot vertices: p6(v561) p812(v560) p496(v236) between f17823 and f8939 - r30123 tested simplicialtop vertices: p254(v551) p754(v380) p934(v129) between f8785 and f17823 - r29439 tested simplicialtop vertices: p752(v573) p215(v244) p635(v136) between f9166 and f17823 - r29436 tested simplicialtop vertices: p215(v244) p590(v243) p635(v136) between f3565 and f17823 - r30127 tested simplicialbot vertices: p752(v573) p111(v571) p396(v397) between f17823 and f9172 - r30165 tested simplicialbot vertices: p155(v569) p318(v241) p610(v77) between f17823 and f9094 - r30130 tested simplicialbot vertices: p752(v573) p396(v397) p635(v136) between f17823 and f9171 - r31228 tested simplicialtop vertices: p205(v572) p613(v547) p215(v244) between f9129 and f17823 - r28945 tested simplicialbot vertices: p169(v359) p909(v303) p426(v179) between f17823 and f5405 - r30863 tested simplicialbot vertices: p336(v574) p981(v556) p852(v9) between f17823 and f9201 - r30570 tested simplicialbot vertices: p547(v566) p789(v550) p574(v394) between f17823 and f9053 - r31296 tested simplicialtop vertices: p396(v397) p635(v136) p610(v77) between f6014 and f17823 - r30715 tested simplicialbot vertices: p547(v566) p207(v237) p955(v133) between f17823 and f9056 - r30817 tested simplicialbot vertices: p981(v556) p943(v383) p955(v133) between f17823 and f8859 - r30566 tested simplicialtop vertices: p547(v566) p789(v550) p955(v133) between f9052 and f17823 - r30679 tested simplicialbot vertices: p906(v562) p768(v391) p871(v376) between f17823 and f8946 - r30773 tested simplicialtop vertices: p547(v566) p207(v237) p567(v132) between f9055 and f17823 - r28817 tested simplicialbot vertices: p6(v561) p496(v236) p567(v132) between f17823 and f8936 - r29643 tested simplicialbot vertices: p551(v385) p276(v233) p247(v72) between f17823 and f5798 - r30445 tested simplicialtop vertices: p871(v376) p567(v132) p566(v74) between f5667 and f17823 - r30441 tested simplicialbot vertices: p207(v237) p567(v132) p566(v74) between f17823 and f3465 - r31352 tested simplicialbot vertices: p179(v568) p6(v561) p461(v238) between f17823 and f9082 - r31110 tested simplicialbot vertices: p547(v566) p461(v238) p567(v132) between f17823 and f9051 - r31239 tested simplicialtop vertices: p789(v550) p943(v383) p955(v133) between f8757 and f17823 - r29312 tested simplicialbot vertices: p906(v562) p871(v376) p567(v132) between f17823 and f8945 - r29309 tested simplicialtop vertices: p906(v562) p496(v236) p567(v132) between f8942 and f17823 - r29029 tested simplicialbot vertices: p318(v241) p635(v136) p610(v77) between f17823 and f3541 - r31271 tested simplicialtop vertices: p6(v561) p461(v238) p567(v132) between f8937 and f17823 - r29419 tested simplicialtop vertices: p207(v237) p955(v133) p852(v9) between f3462 and f17823 - r30866 tested simplicialtop vertices: p336(v574) p453(v564) p852(v9) between f9195 and f17823 - r29415 tested simplicialtop vertices: p827(v565) p207(v237) p852(v9) between f9048 and f17823 - r30543 tested simplicialbot vertices: p125(v393) p207(v237) p566(v74) between f17823 and f5950 - r31376 tested simplicialtop vertices: p827(v565) p125(v393) p207(v237) between f9046 and f17823 - r30794 tested simplicialbot vertices: p981(v556) p955(v133) p852(v9) between f17823 and f8858 - r31313 tested simplicialtop vertices: p336(v574) p981(v556) p943(v383) between f9191 and f17823 - r31169 tested simplicialtop vertices: p155(v569) p318(v241) p540(v140) between f9095 and f17823 - r31122 tested simplicialbot vertices: p590(v243) p318(v241) p315(v24) between f17823 and f3556 - r30208 tested simplicialbot vertices: p155(v569) p341(v396) p540(v140) between f17823 and f9096 - r30212 tested simplicialtop vertices: p155(v569) p341(v396) p110(v247) between f9097 and f17823 - r29025 tested simplicialtop vertices: p590(v243) p318(v241) p635(v136) between f3557 and f17823 - r31375 tested simplicialbot vertices: p749(v548) p613(v547) p590(v243) between f17823 and f8741 - r30546 tested simplicialtop vertices: p125(v393) p871(v376) p566(v74) between f5951 and f17823 - r30681 tested simplicialtop vertices: p906(v562) p768(v391) p496(v236) between f8943 and f17823 - r31369 tested simplicialbot vertices: p921(v324) p651(v195) p864(v32) between f17823 and f4787 - r30162 tested simplicialbot vertices: p199(v330) p727(v43) p47(v17) between f17823 and f4903 - r29107 tested simplicialtop vertices: p133(v228) p953(v103) p637(v18) between f3320 and f17823 - r29486 tested simplicialtop vertices: p42(v392) p266(v384) p435(v134) between f5932 and f17823 - r29557 tested simplicialtop vertices: p584(v327) p921(v324) p641(v60) between f4837 and f17823 - r28887 tested simplicialbot vertices: p40(v495) p584(v327) p921(v324) between f17823 and f7636 - r28891 tested simplicialbot vertices: p40(v495) p921(v324) p753(v112) between f17823 and f7638 - r29958 tested simplicialtop vertices: p383(v420) p199(v330) p727(v43) between f6378 and f17823 - r30840 tested simplicialtop vertices: p40(v495) p920(v196) p753(v112) between f7637 and f17823 - r30668 tested simplicialtop vertices: p40(v495) p584(v327) p114(v113) between f7634 and f17823 - r28828 tested simplicialbot vertices: p100(v227) p920(v196) p753(v112) between f17823 and f3308 - r30838 tested simplicialbot vertices: p40(v495) p920(v196) p114(v113) between f17823 and f7633 - r29482 tested simplicialtop vertices: p827(v565) p42(v392) p435(v134) between f9040 and f17823 - r29793 tested simplicialtop vertices: p100(v227) p745(v127) p637(v18) between f3304 and f17823 - r28824 tested simplicialbot vertices: p100(v227) p753(v112) p637(v18) between f17823 and f3306 - r30428 tested simplicialbot vertices: p100(v227) p745(v127) p17(v30) between f17823 and f3305 - r30158 tested simplicialtop vertices: p199(v330) p974(v115) p47(v17) between f4892 and f17823 - r30957 tested simplicialtop vertices: p100(v227) p920(v196) p17(v30) between f3307 and f17823 - r29324 tested simplicialtop vertices: p504(v493) p745(v127) p17(v30) between f7607 and f17823 - r29321 tested simplicialtop vertices: p504(v493) p699(v128) p745(v127) between f7608 and f17823 - r29111 tested simplicialbot vertices: p133(v228) p745(v127) p637(v18) between f17823 and f3318 - r31039 tested simplicialbot vertices: p504(v493) p920(v196) p17(v30) between f17823 and f7609 - r31214 tested simplicialbot vertices: p125(v393) p871(v376) p435(v134) between f17823 and f5952 - r31205 tested simplicialbot vertices: p355(v598) p551(v385) p727(v43) between f17823 and f11030 - r29399 tested simplicialtop vertices: p355(v598) p252(v558) p378(v242) between f11035 and f17823 - r29910 tested simplicialtop vertices: p252(v558) p28(v130) p757(v71) between f8888 and f17823 - r29955 tested simplicialtop vertices: p355(v598) p383(v420) p727(v43) between f11027 and f17823 - r29395 tested simplicialbot vertices: p355(v598) p252(v558) p551(v385) between f17823 and f11032 - r30164 tested simplicialbot vertices: p252(v558) p378(v242) p757(v71) between f17823 and f8889 - r28711 tested simplicialbot vertices: p252(v558) p266(v384) p276(v233) between f17823 and f8898 - r28921 tested simplicialtop vertices: p301(v557) p266(v384) p276(v233) between f8869 and f17823 - r30333 tested simplicialtop vertices: p247(v72) p727(v43) p47(v17) between f865 and f17823 - r28707 tested simplicialtop vertices: p252(v558) p266(v384) p28(v130) between f8890 and f17823 - r28748 tested simplicialbot vertices: p871(v376) p953(v103) p444(v55) between f17823 and f5659 - r28924 tested simplicialbot vertices: p301(v557) p266(v384) p435(v134) between f17823 and f8867 - r31193 tested simplicialbot vertices: p399(v563) p953(v103) p637(v18) between f17823 and f8991 - r30753 tested simplicialtop vertices: p301(v557) p276(v233) p864(v32) between f8868 and f17823 - r31216 tested simplicialbot vertices: p827(v565) p125(v393) p435(v134) between f17823 and f9041 - r30755 tested simplicialbot vertices: p301(v557) p435(v134) p864(v32) between f17823 and f8866 - r30988 tested simplicialbot vertices: p42(v392) p266(v384) p28(v130) between f17823 and f5938 - r31152 tested simplicialtop vertices: p252(v558) p551(v385) p276(v233) between f8899 and f17823 - r29707 tested simplicialtop vertices: p753(v112) p444(v55) p864(v32) between f1420 and f17823 - r29740 tested simplicialbot vertices: p435(v134) p444(v55) p864(v32) between f17823 and f1804 - r29704 tested simplicialtop vertices: p921(v324) p753(v112) p864(v32) between f4786 and f17823 - r31147 tested simplicialtop vertices: p399(v563) p953(v103) p444(v55) between f8993 and f17823 - r28752 tested simplicialtop vertices: p871(v376) p435(v134) p444(v55) between f5668 and f17823 - r30589 tested simplicialbot vertices: p871(v376) p133(v228) p953(v103) between f17823 and f5658 - r31195 tested simplicialtop vertices: p399(v563) p753(v112) p637(v18) between f8992 and f17823 - r30574 tested simplicialtop vertices: p282(v361) p133(v228) p745(v127) between f5427 and f17823 - r31150 tested simplicialbot vertices: p399(v563) p753(v112) p444(v55) between f17823 and f8994 - r29647 tested simplicialtop vertices: p276(v233) p247(v72) p864(v32) between f3394 and f17823 - r29697 tested simplicialbot vertices: p551(v385) p247(v72) p727(v43) between f17823 and f5797 - r30586 tested simplicialbot vertices: p749(v548) p590(v243) p315(v24) between f17823 and f8740 - r30583 tested simplicialtop vertices: p749(v548) p501(v45) p315(v24) between f8731 and f17823 - r28814 tested simplicialtop vertices: p806(v588) p992(v411) p817(v258) between f10945 and f17823 - r29779 tested simplicialtop vertices: p959(v415) p643(v260) p835(v80) between f6310 and f17823 - r30522 tested simplicialtop vertices: p806(v588) p817(v258) p808(v85) between f10944 and f17823 - r30028 tested simplicialtop vertices: p690(v590) p428(v412) p45(v259) between f10955 and f17823 - r28810 tested simplicialbot vertices: p806(v588) p992(v411) p868(v152) between f17823 and f10933 - r30516 tested simplicialtop vertices: p806(v588) p428(v412) p868(v152) between f10935 and f17823 - r31086 tested simplicialbot vertices: p690(v590) p124(v389) p602(v16) between f17823 and f10962 - r29145 tested simplicialtop vertices: p457(v587) p992(v411) p489(v46) between f10925 and f17823 - r29915 tested simplicialbot vertices: p806(v588) p954(v413) p914(v154) between f17823 and f10939 - r30416 tested simplicialtop vertices: p56(v417) p625(v301) p623(v26) between f6334 and f17823 - r30592 tested simplicialtop vertices: p806(v588) p954(v413) p45(v259) between f10940 and f17823 - r30272 tested simplicialbot vertices: p253(v585) p99(v408) p228(v150) between f17823 and f9972 - r29912 tested simplicialbot vertices: p806(v588) p914(v154) p808(v85) between f17823 and f10942 - r29340 tested simplicialtop vertices: p373(v583) p195(v582) p406(v407) between f9949 and f17823 - r30031 tested simplicialbot vertices: p806(v588) p428(v412) p45(v259) between f17823 and f10936 - r31290 tested simplicialtop vertices: p746(v586) p992(v411) p868(v152) between f10545 and f17823 - r29141 tested simplicialbot vertices: p746(v586) p992(v411) p489(v46) between f17823 and f10544 - r31307 tested simplicialbot vertices: p457(v587) p992(v411) p817(v258) between f17823 and f10931 - r31131 tested simplicialtop vertices: p373(v583) p817(v258) p894(v151) between f9946 and f17823 - r30302 tested simplicialbot vertices: p170(v589) p428(v412) p868(v152) between f17823 and f10953 - r30300 tested simplicialtop vertices: p690(v590) p170(v589) p428(v412) between f10960 and f17823 - r30815 tested simplicialbot vertices: p457(v587) p197(v249) p489(v46) between f17823 and f10927 - r30072 tested simplicialbot vertices: p930(v410) p817(v258) p894(v151) between f17823 and f6264 - r30594 tested simplicialtop vertices: p954(v413) p188(v387) p45(v259) between f6292 and f17823 - r28670 tested simplicialbot vertices: p690(v590) p290(v559) p45(v259) between f17823 and f10958 - r29893 tested simplicialbot vertices: p690(v590) p170(v589) p124(v389) between f17823 and f10963 - r31302 tested simplicialtop vertices: p690(v590) p290(v559) p602(v16) between f10957 and f17823 - r28666 tested simplicialbot vertices: p290(v559) p188(v387) p45(v259) between f17823 and f8905 - r29897 tested simplicialtop vertices: p170(v589) p124(v389) p835(v80) between f10950 and f17823 - r31311 tested simplicialbot vertices: p373(v583) p817(v258) p808(v85) between f17823 and f9943 - r29327 tested simplicialbot vertices: p149(v629) p502(v288) p887(v51) between f17823 and f17217 - r29343 tested simplicialtop vertices: p373(v583) p406(v407) p808(v85) between f9944 and f17823 - r30076 tested simplicialbot vertices: p930(v410) p894(v151) p854(v81) between f17823 and f6268 - r30775 tested simplicialtop vertices: p457(v587) p930(v410) p817(v258) between f10930 and f17823 - r29217 tested simplicialbot vertices: p23(v584) p99(v408) p808(v85) between f17823 and f9951 - r29442 tested simplicialtop vertices: p23(v584) p176(v255) p274(v84) between f9959 and f17823 - r29213 tested simplicialbot vertices: p99(v408) p997(v257) p808(v85) between f17823 and f6232 - r31209 tested simplicialbot vertices: p99(v408) p176(v255) p228(v150) between f17823 and f6228 - r29446 tested simplicialtop vertices: p23(v584) p99(v408) p176(v255) between f9956 and f17823 - r30305 tested simplicialtop vertices: p406(v407) p997(v257) p808(v85) between f6212 and f17823 - r30276 tested simplicialtop vertices: p253(v585) p99(v408) p997(v257) between f9973 and f17823 - r29829 tested simplicialtop vertices: p340(v404) p630(v235) p681(v29) between f6147 and f17823 - r29371 tested simplicialtop vertices: p746(v586) p643(v260) p489(v46) between f10546 and f17823 - r29825 tested simplicialbot vertices: p959(v415) p340(v404) p630(v235) between f17823 and f6314 - r31245 tested simplicialbot vertices: p959(v415) p124(v389) p835(v80) between f17823 and f6317 - r29374 tested simplicialbot vertices: p746(v586) p643(v260) p868(v152) between f17823 and f10547 - r30643 tested simplicialtop vertices: p959(v415) p124(v389) p630(v235) between f6318 and f17823 - r30375 tested simplicialtop vertices: p870(v414) p643(v260) p14(v145) between f6295 and f17823 - r31355 tested simplicialtop vertices: p340(v404) p556(v250) p14(v145) between f6140 and f17823 - r31309 tested simplicialtop vertices: p959(v415) p340(v404) p14(v145) between f6313 and f17823 - r30379 tested simplicialbot vertices: p959(v415) p643(v260) p14(v145) between f17823 and f6311 - r31357 tested simplicialbot vertices: p870(v414) p556(v250) p14(v145) between f17823 and f6294 - r30797 tested simplicialbot vertices: p170(v589) p868(v152) p835(v80) between f17823 and f10952 - r31283 tested simplicialbot vertices: p870(v414) p643(v260) p489(v46) between f17823 and f6301 - r29783 tested simplicialtop vertices: p643(v260) p868(v152) p835(v80) between f3902 and f17823 - r30515 tested simplicialtop vertices: p97(v331) p468(v198) p114(v113) between f4912 and f17823 - r28918 tested simplicialtop vertices: p729(v326) p920(v196) p114(v113) between f4819 and f17823 - r31029 tested simplicialbot vertices: p791(v502) p709(v332) p211(v114) between f17823 and f7721 - r30798 tested simplicialtop vertices: p618(v501) p31(v496) p592(v328) between f7714 and f17823 - r29237 tested simplicialbot vertices: p618(v501) p97(v331) p468(v198) between f17823 and f7716 - r30559 tested simplicialbot vertices: p31(v496) p88(v197) p211(v114) between f17823 and f7641 - r29233 tested simplicialtop vertices: p618(v501) p564(v497) p468(v198) between f7717 and f17823 - r29368 tested simplicialtop vertices: p709(v332) p97(v331) p433(v202) between f4927 and f17823 - r30361 tested simplicialtop vertices: p84(v500) p97(v331) p114(v113) between f7709 and f17823 - r31027 tested simplicialtop vertices: p791(v502) p709(v332) p86(v201) between f7728 and f17823 - r29364 tested simplicialbot vertices: p709(v332) p97(v331) p211(v114) between f17823 and f4926 - r30604 tested simplicialbot vertices: p61(v460) p20(v293) p307(v14) between f17823 and f18512 - r30285 tested simplicialbot vertices: p84(v500) p97(v331) p433(v202) between f17823 and f7703 - r31222 tested simplicialtop vertices: p791(v502) p88(v197) p211(v114) between f7720 and f17823 - r31043 tested simplicialtop vertices: p620(v536) p438(v334) p644(v58) between f8503 and f17823 - r30524 tested simplicialbot vertices: p212(v491) p726(v325) p651(v195) between f17823 and f7588 - r30868 tested simplicialtop vertices: p709(v332) p433(v202) p86(v201) between f4924 and f17823 - r31188 tested simplicialtop vertices: p618(v501) p97(v331) p211(v114) between f7711 and f17823 - r30801 tested simplicialbot vertices: p618(v501) p564(v497) p592(v328) between f17823 and f7718 - r30563 tested simplicialbot vertices: p618(v501) p31(v496) p211(v114) between f17823 and f7713 - r31233 tested simplicialbot vertices: p84(v500) p433(v202) p641(v60) between f17823 and f7702 - r31371 nonconvex simplicialtop vertices: p592(v328) p88(v197) p553(v10) between f18745 and f17823 - r29043 nonconvex vertices: p840(v364) p607(v220) p88(v197) between f17823 and f18745 - r30881 nonconvex vertices: p840(v364) p88(v197) p553(v10) between f17823 and f18745 - r28970 tested simplicialbot vertices: p928(v529) p263(v366) p128(v69) between f17823 and f8243 - r31325 tested simplicialbot vertices: p31(v496) p592(v328) p88(v197) between f17823 and f18742 - r30063 tested simplicialbot vertices: p84(v500) p584(v327) p114(v113) between f17823 and f7708 - r30060 tested simplicialtop vertices: p84(v500) p584(v327) p641(v60) between f7706 and f17823 - r29665 tested simplicialbot vertices: p200(v492) p468(v198) p114(v113) between f17823 and f7593 - r29662 tested simplicialtop vertices: p564(v497) p200(v492) p468(v198) between f7647 and f17823 - r31659 tested simplicialtop vertices: p65(v669) p262(v526) p147(v221) between f18726 and f17823 - r29635 tested simplicialbot vertices: p504(v493) p729(v326) p920(v196) between f17823 and f18719 - r28914 tested simplicialtop vertices: p200(v492) p729(v326) p114(v113) between f7594 and f17823 - r31203 tested simplicialtop vertices: p564(v497) p592(v328) p553(v10) between f7644 and f17823 - r30791 tested simplicialbot vertices: p631(v333) p433(v202) p86(v201) between f17823 and f4947 - r29931 tested simplicialtop vertices: p726(v325) p651(v195) p864(v32) between f4792 and f17823 - r28901 tested simplicialbot vertices: p212(v491) p921(v324) p641(v60) between f17823 and f7584 - r30787 tested simplicialbot vertices: p631(v333) p86(v201) p974(v115) between f17823 and f4946 - r31320 tested simplicialtop vertices: p86(v201) p974(v115) p36(v35) between f2805 and f17823 - r30622 tested simplicialbot vertices: p935(v503) p631(v333) p726(v325) between f17823 and f7736 - r29935 tested simplicialbot vertices: p726(v325) p247(v72) p864(v32) between f17823 and f4791 - r30526 tested simplicialtop vertices: p212(v491) p921(v324) p651(v195) between f7585 and f17823 - r30618 tested simplicialbot vertices: p935(v503) p726(v325) p433(v202) between f17823 and f7734 - r30624 tested simplicialtop vertices: p935(v503) p631(v333) p433(v202) between f7735 and f17823 - r31218 tested simplicialtop vertices: p726(v325) p433(v202) p641(v60) between f4797 and f17823 - r28905 tested simplicialtop vertices: p212(v491) p726(v325) p641(v60) between f7587 and f17823 - r28870 tested simplicialtop vertices: p395(v535) p262(v526) p840(v364) between f8426 and f17823 - r30918 tested simplicialtop vertices: p638(v480) p867(v191) p237(v109) between f7404 and f17823 - r29900 tested simplicialtop vertices: p726(v325) p247(v72) p47(v17) between f4790 and f17823 - r28866 tested simplicialbot vertices: p262(v526) p840(v364) p553(v10) between f17823 and f8174 - r31674 tested simplicialbot vertices: p323(v670) p364(v494) p470(v68) between f17823 and f18733 - r31667 tested simplicialbot vertices: p323(v670) p470(v68) p725(v42) between f17823 and f18740 - r31303 tested simplicialtop vertices: p928(v529) p918(v222) p128(v69) between f8242 and f17823 - r29039 tested simplicialbot vertices: p607(v220) p995(v199) p88(v197) between f17823 and f3163 - r29737 tested simplicialbot vertices: p364(v494) p739(v363) p147(v221) between f17823 and f7631 - r30084 tested simplicialtop vertices: p395(v535) p739(v363) p147(v221) between f8428 and f17823 - r31666 tested simplicialbot vertices: p65(v669) p564(v497) p200(v492) between f17823 and f18731 - r31675 tested simplicialtop vertices: p323(v670) p364(v494) p739(v363) between f18734 and f17823 - r31662 tested simplicialtop vertices: p65(v669) p364(v494) p200(v492) between f18724 and f17823 - r29998 tested simplicialtop vertices: p80(v527) p563(v365) p725(v42) between f8196 and f17823 - r29064 tested simplicialbot vertices: p463(v528) p80(v527) p563(v365) between f17823 and f8208 - r31656 tested simplicialtop vertices: p888(v667) p171(v486) p261(v56) between f18705 and f17823 - r31657 tested simplicialbot vertices: p888(v667) p408(v489) p261(v56) between f17823 and f18706 - r31661 tested simplicialbot vertices: p65(v669) p364(v494) p147(v221) between f17823 and f18723 - r29850 tested simplicialtop vertices: p213(v537) p480(v224) p874(v125) between f8514 and f17823 - r31647 tested simplicialbot vertices: p888(v667) p76(v323) p848(v111) between f17823 and f18711 - r30326 tested simplicialtop vertices: p947(v377) p470(v68) p725(v42) between f5672 and f17823 - r30893 tested simplicialbot vertices: p30(v546) p668(v545) p947(v377) between f17823 and f8689 - r29068 tested simplicialtop vertices: p463(v528) p80(v527) p783(v124) between f8207 and f17823 - r29571 tested simplicialtop vertices: p514(v543) p893(v126) p128(v69) between f8608 and f17823 - r30452 tested simplicialbot vertices: p821(v530) p928(v529) p563(v365) between f17823 and f8346 - r29191 tested simplicialbot vertices: p395(v535) p739(v363) p783(v124) between f17823 and f8427 - r28687 tested simplicialtop vertices: p821(v530) p295(v310) p569(v183) between f8335 and f17823 - r30086 tested simplicialbot vertices: p395(v535) p262(v526) p147(v221) between f17823 and f8425 - r29863 tested simplicialbot vertices: p463(v528) p563(v365) p918(v222) between f17823 and f8214 - r30449 tested simplicialtop vertices: p928(v529) p563(v365) p918(v222) between f8244 and f17823 - r30944 tested simplicialbot vertices: p821(v530) p563(v365) p725(v42) between f17823 and f8345 - r29362 tested simplicialtop vertices: p821(v530) p263(v366) p893(v126) between f8332 and f17823 - r28691 tested simplicialtop vertices: p821(v530) p569(v183) p725(v42) between f8336 and f17823 - r31370 tested simplicialbot vertices: p668(v545) p569(v183) p725(v42) between f17823 and f8652 - r31130 tested simplicialbot vertices: p601(v544) p821(v530) p295(v310) between f17823 and f8625 - r29866 tested simplicialbot vertices: p16(v531) p463(v528) p918(v222) between f17823 and f8364 - r28995 tested simplicialtop vertices: p364(v494) p173(v229) p699(v128) between f7619 and f17823 - r31382 tested simplicialbot vertices: p631(v333) p974(v115) p47(v17) between f17823 and f4950 - r29717 tested simplicialbot vertices: p364(v494) p200(v492) p729(v326) between f17823 and f7620 - r28991 tested simplicialbot vertices: p364(v494) p173(v229) p470(v68) between f17823 and f7618 - r29890 tested simplicialbot vertices: p514(v543) p213(v537) p128(v69) between f17823 and f8611 - r31080 tested simplicialtop vertices: p947(v377) p173(v229) p470(v68) between f5673 and f17823 - r28988 tested simplicialbot vertices: p364(v494) p729(v326) p699(v128) between f17823 and f7616 - r28984 tested simplicialtop vertices: p504(v493) p729(v326) p699(v128) between f18716 and f17823 - r29194 tested simplicialtop vertices: p395(v535) p463(v528) p783(v124) between f8438 and f17823 - r28406 tested simplicialbot vertices: p235(v539) p638(v480) p214(v6) between f17823 and f8539 - r27581 tested simplicialtop vertices: p538(v532) p498(v108) p781(v34) between f8390 and f17823 - r25546 tested simplicialtop vertices: p235(v539) p480(v224) p214(v6) between f8540 and f17823 - r31422 tested simplicialbot vertices: p872(v636) p758(v454) p423(v15) between f17823 and f18406 - r27205 tested simplicialtop vertices: p235(v539) p638(v480) p359(v317) between f8545 and f17823 - r26829 tested simplicialbot vertices: p693(v538) p538(v532) p856(v367) between f17823 and f8525 - r27202 tested simplicialtop vertices: p235(v539) p359(v317) p809(v190) between f8544 and f17823 - r27317 tested simplicialtop vertices: p538(v532) p867(v191) p214(v6) between f8398 and f17823 - r28462 tested simplicialbot vertices: p638(v480) p867(v191) p214(v6) between f17823 and f7406 - r27320 tested simplicialbot vertices: p538(v532) p867(v191) p781(v34) between f17823 and f8395 - r27230 tested simplicialtop vertices: p693(v538) p16(v531) p856(v367) between f8522 and f17823 - r27143 tested simplicialbot vertices: p538(v532) p793(v189) p214(v6) between f17823 and f8397 - r25550 tested simplicialtop vertices: p480(v224) p793(v189) p214(v6) between f3253 and f17823 - r26825 tested simplicialtop vertices: p693(v538) p538(v532) p793(v189) between f8524 and f17823 - r28779 tested simplicialtop vertices: p514(v543) p902(v374) p893(v126) between f8609 and f17823 - r29854 tested simplicialbot vertices: p693(v538) p975(v370) p793(v189) between f17823 and f8523 - r29852 tested simplicialbot vertices: p975(v370) p480(v224) p793(v189) between f17823 and f5586 - r29359 tested simplicialtop vertices: p821(v530) p928(v529) p263(v366) between f8339 and f17823 - r30916 tested simplicialbot vertices: p638(v480) p359(v317) p237(v109) between f17823 and f7405 - r30888 tested simplicialbot vertices: p16(v531) p918(v222) p128(v69) between f17823 and f8362 - r31088 tested simplicialbot vertices: p511(v534) p16(v531) p856(v367) between f17823 and f8418 - r28635 tested simplicialbot vertices: p235(v539) p499(v455) p809(v190) between f17823 and f8536 - r31453 tested simplicialbot vertices: p775(v639) p235(v539) p221(v371) between f17823 and f18451 - r28908 tested simplicialtop vertices: p693(v538) p975(v370) p128(v69) between f8520 and f17823 - r31166 tested simplicialbot vertices: p221(v371) p480(v224) p874(v125) between f17823 and f5593 - r29512 tested simplicialbot vertices: p24(v533) p538(v532) p498(v108) between f17823 and f8402 - r29846 tested simplicialtop vertices: p213(v537) p975(v370) p480(v224) between f8515 and f17823 - r31090 tested simplicialtop vertices: p511(v534) p16(v531) p463(v528) between f8419 and f17823 - r29907 tested simplicialtop vertices: p235(v539) p221(v371) p480(v224) between f8541 and f17823 - r28912 tested simplicialbot vertices: p693(v538) p16(v531) p128(v69) between f17823 and f8521 - r31262 tested simplicialbot vertices: p213(v537) p975(v370) p128(v69) between f17823 and f8510 - r30728 tested simplicialtop vertices: p601(v544) p821(v530) p893(v126) between f8630 and f17823 - r31447 tested simplicialtop vertices: p775(v639) p131(v456) p81(v453) between f18444 and f17823 - r28974 tested simplicialbot vertices: p263(v366) p893(v126) p128(v69) between f17823 and f5528 - r29904 tested simplicialtop vertices: p631(v333) p726(v325) p47(v17) between f4951 and f17823 - r30649 tested vertices: p529(v458) p193(v292) p50(v172) between f18477 and f17823 - r31256 tested vertices: p194(v452) p193(v292) p50(v172) between f17823 and f18477 - r30363 tested vertices: p760(v445) p193(v292) p423(v15) between f17823 and f18477 - r30366 tested vertices: p194(v452) p193(v292) p423(v15) between f18477 and f17823 - r31469 tested vertices: p413(v642) p529(v458) p193(v292) between f17823 and f18477 - r29538 tested simplicialtop vertices: p469(v578) p342(v245) p678(v138) between f9571 and f17823 - r28898 tested simplicialbot vertices: p379(v472) p767(v305) p708(v28) between f17823 and f7193 - r31449 tested simplicialbot vertices: p775(v639) p697(v634) p81(v453) between f17823 and f18446 - r29049 tested simplicialtop vertices: p752(v573) p378(v242) p757(v71) between f9164 and f17823 - r31419 tested simplicialbot vertices: p872(v636) p194(v452) p543(v290) between f17823 and f18457 - r31415 tested simplicialtop vertices: p872(v636) p151(v284) p402(v167) between f18416 and f17823 - r31417 tested simplicialtop vertices: p872(v636) p81(v453) p543(v290) between f18455 and f17823 - r29185 tested simplicialtop vertices: p194(v452) p543(v290) p50(v172) between f18368 and f17823 - r28574 tested simplicialtop vertices: p445(v625) p758(v454) p423(v15) between f17181 and f17823 - r28575 tested simplicialbot vertices: p445(v625) p758(v454) p151(v284) between f17823 and f17182 - r31414 tested simplicialbot vertices: p872(v636) p330(v635) p402(v167) between f17823 and f18414 - r29800 tested simplicialbot vertices: p131(v456) p81(v453) p543(v290) between f17823 and f18452 - r31397 tested simplicialtop vertices: p697(v634) p81(v453) p245(v52) between f18387 and f17823 - r31426 tested simplicialtop vertices: p611(v637) p131(v456) p881(v96) between f18422 and f17823 - r30434 tested simplicialtop vertices: p804(v448) p760(v445) p774(v168) between f17201 and f17823 - r31136 tested simplicialbot vertices: p940(v631) p804(v448) p477(v93) between f17823 and f17740 - r30436 tested vertices: p940(v631) p804(v448) p774(v168) between f17740 and f17823 - r29508 tested simplicialtop vertices: p940(v631) p361(v282) p477(v93) between f17740 and f17823 - r28612 tested vertices: p940(v631) p361(v282) p208(v166) between f17823 and f17740 - r31347 tested vertices: p940(v631) p175(v630) p208(v166) between f17740 and f17823 - r31270 tested simplicialbot vertices: p736(v457) p131(v456) p543(v290) between f17823 and f18460 - r31349 tested simplicialtop vertices: p445(v625) p804(v448) p151(v284) between f17184 and f17823 - r29189 tested simplicialbot vertices: p736(v457) p543(v290) p50(v172) between f17823 and f18370 - r31484 tested simplicialbot vertices: p573(v644) p413(v642) p193(v292) between f17823 and f18497 - r31411 tested simplicialtop vertices: p872(v636) p330(v635) p81(v453) between f18412 and f17823 - r31442 tested simplicialtop vertices: p658(v638) p713(v297) p327(v175) between f18441 and f17823 - r31451 tested simplicialtop vertices: p775(v639) p697(v634) p221(v371) between f18448 and f17823 - r31144 tested simplicialbot vertices: p8(v626) p189(v304) p193(v292) between f17823 and f17190 - r31058 tested simplicialbot vertices: p912(v469) p908(v306) p322(v299) between f17823 and f7152 - r31242 tested simplicialtop vertices: p150(v468) p908(v306) p322(v299) between f7137 and f17823 - r30576 tested simplicialbot vertices: p379(v472) p818(v291) p50(v172) between f17823 and f18487 - r29175 tested simplicialtop vertices: p736(v457) p818(v291) p50(v172) between f6992 and f17823 - r31231 tested simplicialtop vertices: p379(v472) p529(v458) p50(v172) between f18485 and f17823 - r31351 tested vertices: p379(v472) p529(v458) p767(v305) between f17823 and f18485 - r30903 tested vertices: p529(v458) p767(v305) p278(v180) between f18485 and f17823 - r28894 tested simplicialbot vertices: p767(v305) p583(v295) p708(v28) between f17823 and f4538 - r31441 tested simplicialbot vertices: p658(v638) p713(v297) p237(v109) between f17823 and f18440 - r31404 tested simplicialbot vertices: p330(v635) p634(v285) p402(v167) between f17823 and f18400 - r31424 tested simplicialbot vertices: p611(v637) p499(v455) p881(v96) between f17823 and f18419 - r31377 tested simplicialbot vertices: p804(v448) p151(v284) p477(v93) between f17823 and f6859 - r31437 tested simplicialbot vertices: p658(v638) p611(v637) p818(v291) between f17823 and f18437 - r30513 tested simplicialtop vertices: p235(v539) p499(v455) p881(v96) between f8535 and f17823 - r31421 tested simplicialtop vertices: p872(v636) p194(v452) p423(v15) between f18405 and f17823 - r29448 tested vertices: p583(v295) p818(v291) p708(v28) between f17823 and f18608 - r29451 tested simplicialtop vertices: p379(v472) p818(v291) p708(v28) between f18608 and f17823 - r31435 tested vertices: p658(v638) p583(v295) p818(v291) between f18608 and f17823 - r31561 tested simplicialbot vertices: p744(v656) p246(v471) p672(v459) between f17823 and f18607 - r28576 tested simplicialbot vertices: p445(v625) p760(v445) p423(v15) between f17823 and f17179 - r31350 tested simplicialbot vertices: p445(v625) p804(v448) p760(v445) between f17823 and f17205 - r30848 tested simplicialbot vertices: p801(v419) p324(v315) p890(v188) between f17823 and f6368 - r31084 tested simplicialtop vertices: p25(v477) p300(v200) p748(v1) between f7348 and f17823 - r31278 tested simplicialtop vertices: p421(v479) p258(v478) p365(v476) between f18616 and f17823 - r30556 tested vertices: p421(v479) p365(v476) p701(v187) between f18616 and f17823 - r31594 tested simplicialbot vertices: p491(v661) p456(v484) p98(v33) between f17823 and f18648 - r29350 tested simplicialtop vertices: p801(v419) p324(v315) p763(v107) between f6367 and f17823 - r31591 tested simplicialtop vertices: p491(v661) p171(v486) p90(v193) between f18650 and f17823 - r29626 tested simplicialtop vertices: p842(v599) p181(v421) p857(v269) between f11039 and f17823 - r29346 tested simplicialtop vertices: p324(v315) p593(v186) p763(v107) between f4640 and f17823 - r31596 tested simplicialbot vertices: p376(v662) p258(v478) p98(v33) between f17823 and f18656 - r30748 tested simplicialbot vertices: p597(v314) p593(v186) p763(v107) between f17823 and f4634 - r31592 tested simplicialbot vertices: p491(v661) p171(v486) p456(v484) between f17823 and f18651 - r30323 tested simplicialbot vertices: p421(v479) p597(v314) p763(v107) between f17823 and f7389 - r30492 tested simplicialbot vertices: p25(v477) p365(v476) p701(v187) between f17823 and f7353 - r30615 tested simplicialtop vertices: p857(v269) p562(v266) p748(v1) between f4027 and f17823 - r30319 tested simplicialbot vertices: p421(v479) p258(v478) p597(v314) between f17823 and f18621 - r31251 tested simplicialtop vertices: p421(v479) p701(v187) p763(v107) between f7388 and f17823 - r31560 tested simplicialbot vertices: p744(v656) p672(v459) p20(v293) between f17823 and f18606 - r30399 tested simplicialbot vertices: p801(v419) p562(v266) p763(v107) between f17823 and f6357 - r29161 tested simplicialtop vertices: p801(v419) p326(v157) p961(v48) between f6354 and f17823 - r30857 tested simplicialbot vertices: p857(v269) p562(v266) p326(v157) between f17823 and f4028 - r29165 tested simplicialtop vertices: p801(v419) p562(v266) p326(v157) between f6355 and f17823 - r30665 tested simplicialbot vertices: p562(v266) p701(v187) p763(v107) between f17823 and f3964 - r30414 tested simplicialbot vertices: p419(v594) p56(v417) p625(v301) between f17823 and f10988 - r30956 tested simplicialtop vertices: p181(v421) p886(v264) p961(v48) between f6389 and f17823 - r30612 tested simplicialtop vertices: p562(v266) p701(v187) p748(v1) between f3962 and f17823 - r30722 tested simplicialbot vertices: p842(v599) p181(v421) p886(v264) between f17823 and f11038 - r30859 tested simplicialbot vertices: p181(v421) p326(v157) p961(v48) between f17823 and f6386 - r31575 tested simplicialtop vertices: p416(v659) p242(v481) p127(v59) between f18625 and f17823 - r30862 tested simplicialbot vertices: p181(v421) p857(v269) p326(v157) between f17823 and f6387 - r30254 tested simplicialbot vertices: p383(v420) p857(v269) p206(v88) between f17823 and f6383 - r29622 tested simplicialtop vertices: p842(v599) p857(v269) p206(v88) between f11040 and f17823 - r30203 tested simplicialtop vertices: p825(v516) p560(v349) p466(v344) between f7956 and f17823 - r30844 tested simplicialtop vertices: p383(v420) p857(v269) p748(v1) between f6381 and f17823 - r30340 tested simplicialtop vertices: p383(v420) p440(v267) p206(v88) between f6373 and f17823 - r30336 tested simplicialbot vertices: p250(v605) p440(v267) p206(v88) between f17823 and f12089 - r31226 tested simplicialtop vertices: p250(v605) p842(v599) p206(v88) between f12090 and f17823 - r30496 tested simplicialbot vertices: p25(v477) p701(v187) p748(v1) between f17823 and f7352 - r30454 tested simplicialbot vertices: p791(v502) p219(v329) p86(v201) between f17823 and f7727 - r30964 tested simplicialtop vertices: p271(v498) p126(v203) p683(v116) between f7655 and f17823 - r30310 tested simplicialtop vertices: p791(v502) p219(v329) p999(v62) between f7724 and f17823 - r29549 tested simplicialbot vertices: p271(v498) p219(v329) p683(v116) between f17823 and f7656 - r31053 tested simplicialtop vertices: p455(v499) p219(v329) p86(v201) between f7679 and f17823 - r31236 tested simplicialbot vertices: p995(v199) p683(v116) p999(v62) between f17823 and f2785 - r29768 tested simplicialbot vertices: p116(v490) p846(v487) p344(v194) between f17823 and f7568 - r29545 tested simplicialtop vertices: p219(v329) p683(v116) p999(v62) between f4863 and f17823 - r31056 tested simplicialtop vertices: p455(v499) p271(v498) p219(v329) between f7694 and f17823 - r30578 tested simplicialbot vertices: p791(v502) p88(v197) p999(v62) between f17823 and f7723 - r30981 tested simplicialtop vertices: p607(v220) p995(v199) p683(v116) between f3170 and f17823 - r30261 tested vertices: p583(v295) p327(v175) p861(v97) between f18531 and f17823 - r29795 tested vertices: p246(v471) p767(v305) p861(v97) between f18531 and f17823 - r29798 tested vertices: p767(v305) p583(v295) p861(v97) between f18531 and f17823 - r31172 tested simplicialbot vertices: p696(v296) p327(v175) p861(v97) between f17823 and f18531 - r30984 tested simplicialbot vertices: p607(v220) p126(v203) p683(v116) between f17823 and f3171 - r31049 tested simplicialtop vertices: p438(v334) p126(v203) p358(v19) between f4983 and f17823 - r31440 tested simplicialtop vertices: p658(v638) p359(v317) p237(v109) between f18435 and f17823 - r31238 tested simplicialtop vertices: p995(v199) p88(v197) p999(v62) between f2789 and f17823 - r31335 tested simplicialtop vertices: p455(v499) p86(v201) p36(v35) between f7678 and f17823 - r31075 tested simplicialtop vertices: p974(v115) p971(v61) p36(v35) between f1470 and f17823 - r31024 tested simplicialbot vertices: p455(v499) p258(v478) p365(v476) between f17823 and f7691 - r31248 tested simplicialtop vertices: p25(v477) p903(v313) p971(v61) between f7347 and f17823 - r29036 tested simplicialbot vertices: p300(v200) p974(v115) p971(v61) between f17823 and f2797 - r29032 tested simplicialbot vertices: p25(v477) p300(v200) p971(v61) between f17823 and f7350 - r30841 tested simplicialbot vertices: p383(v420) p199(v330) p748(v1) between f17823 and f6376 - r31096 tested simplicialtop vertices: p199(v330) p300(v200) p974(v115) between f4893 and f17823 - r30295 tested simplicialbot vertices: p455(v499) p903(v313) p36(v35) between f17823 and f7681 - r31250 tested simplicialtop vertices: p25(v477) p365(v476) p903(v313) between f7354 and f17823 - r30291 tested simplicialbot vertices: p903(v313) p971(v61) p36(v35) between f17823 and f4616 - r30599 tested simplicialbot vertices: p455(v499) p365(v476) p903(v313) between f17823 and f7682 - r31334 tested simplicialbot vertices: p199(v330) p300(v200) p748(v1) between f17823 and f4902 - r31324 tested simplicialtop vertices: p455(v499) p258(v478) p90(v193) between f7699 and f17823 - r31322 tested simplicialbot vertices: p258(v478) p90(v193) p98(v33) between f17823 and f7383 - r29771 tested simplicialbot vertices: p846(v487) p230(v322) p344(v194) between f17823 and f7526 - r29393 tested simplicialtop vertices: p738(v488) p506(v318) p781(v34) between f7534 and f17823 - r29390 tested simplicialtop vertices: p506(v318) p867(v191) p781(v34) between f4693 and f17823 - r30533 tested simplicialtop vertices: p116(v490) p846(v487) p873(v104) between f7563 and f17823 - r29148 tested simplicialtop vertices: p116(v490) p76(v323) p344(v194) between f7567 and f17823 - r29888 tested simplicialbot vertices: p639(v462) p713(v297) p977(v174) between f17823 and f7051 - r28656 tested simplicialbot vertices: p738(v488) p230(v322) p781(v34) between f17823 and f7535 - r28653 tested simplicialbot vertices: p230(v322) p498(v108) p781(v34) between f17823 and f4760 - r30457 tested simplicialtop vertices: p230(v322) p498(v108) p644(v58) between f4758 and f17823 - r31071 tested simplicialtop vertices: p230(v322) p344(v194) p848(v111) between f4755 and f17823 - r28956 tested simplicialbot vertices: p408(v489) p242(v481) p127(v59) between f17823 and f7555 - r30683 tested simplicialtop vertices: p738(v488) p230(v322) p848(v111) between f7536 and f17823 - r29632 tested simplicialtop vertices: p271(v498) p846(v487) p126(v203) between f7653 and f17823 - r29152 tested simplicialbot vertices: p76(v323) p344(v194) p848(v111) between f17823 and f4769 - r31644 tested simplicialbot vertices: p642(v666) p127(v59) p261(v56) between f17823 and f18701 - r29629 tested simplicialbot vertices: p271(v498) p846(v487) p873(v104) between f17823 and f7652 - r29972 tested simplicialbot vertices: p455(v499) p271(v498) p90(v193) between f17823 and f7700 - r31652 tested simplicialbot vertices: p888(v667) p171(v486) p90(v193) between f17823 and f18714 - r29588 tested simplicialtop vertices: p271(v498) p90(v193) p873(v104) between f7654 and f17823 - r29584 tested simplicialbot vertices: p116(v490) p90(v193) p873(v104) between f17823 and f7562 - r31365 tested simplicialbot vertices: p24(v533) p498(v108) p644(v58) between f17823 and f8400 - r30635 tested simplicialbot vertices: p737(v273) p216(v156) p113(v49) between f17823 and f4086 - r30227 tested simplicialtop vertices: p527(v464) p138(v463) p481(v298) between f7073 and f17823 - r28937 tested simplicialbot vertices: p940(v631) p534(v510) p907(v342) between f17823 and f18364 - r30632 tested simplicialtop vertices: p473(v430) p737(v273) p216(v156) between f6501 and f17823 - r30195 tested simplicialtop vertices: p298(v601) p473(v430) p273(v265) between f11057 and f17823 - r30765 tested simplicialtop vertices: p246(v471) p908(v306) p278(v180) between f7175 and f17823 - r31208 tested simplicialtop vertices: p526(v596) p539(v263) p334(v87) between f11005 and f17823 - r30646 tested simplicialtop vertices: p236(v595) p216(v156) p113(v49) between f11000 and f17823 - r29079 tested simplicialbot vertices: p473(v430) p273(v265) p216(v156) between f17823 and f6500 - r29075 tested simplicialtop vertices: p764(v597) p273(v265) p216(v156) between f11024 and f17823 - r31158 tested simplicialtop vertices: p528(v603) p764(v597) p334(v87) between f12072 and f17823 - r29298 tested simplicialbot vertices: p528(v603) p764(v597) p273(v265) between f17823 and f12065 - r30943 tested simplicialbot vertices: p779(v611) p473(v430) p737(v273) between f17823 and f13299 - r30940 tested simplicialbot vertices: p779(v611) p298(v601) p473(v430) between f17823 and f13288 - r29822 tested simplicialbot vertices: p236(v595) p137(v300) p113(v49) between f17823 and f11001 - r29939 tested simplicialbot vertices: p138(v463) p481(v298) p113(v49) between f17823 and f7062 - r28880 tested simplicialbot vertices: p419(v594) p345(v302) p594(v178) between f17823 and f10992 - r29818 tested simplicialtop vertices: p236(v595) p137(v300) p594(v178) between f10995 and f17823 - r31433 tested simplicialbot vertices: p658(v638) p583(v295) p327(v175) between f17823 and f18431 - r28863 tested vertices: p412(v465) p737(v273) p113(v49) between f17823 and f18554 - r30110 tested simplicialtop vertices: p412(v465) p737(v273) p629(v161) between f18554 and f17823 - r28859 tested simplicialtop vertices: p412(v465) p481(v298) p113(v49) between f18551 and f17823 - r30550 tested vertices: p412(v465) p481(v298) p439(v176) between f17823 and f18551 - r31429 tested simplicialtop vertices: p658(v638) p499(v455) p809(v190) between f18428 and f17823 - r29598 tested simplicialtop vertices: p256(v524) p527(v464) p439(v176) between f8132 and f17823 - r30548 tested simplicialbot vertices: p865(v525) p412(v465) p439(v176) between f17823 and f8154 - r30759 tested simplicialbot vertices: p526(v596) p236(v595) p216(v156) between f17823 and f11006 - r29257 tested simplicialtop vertices: p526(v596) p236(v595) p56(v417) between f11007 and f17823 - r29253 tested simplicialtop vertices: p526(v596) p56(v417) p539(v263) between f11003 and f17823 - r31274 tested simplicialbot vertices: p236(v595) p56(v417) p594(v178) between f17823 and f10996 - r28884 tested simplicialtop vertices: p419(v594) p56(v417) p594(v178) between f10987 and f17823 - r31416 tested simplicialtop vertices: p872(v636) p758(v454) p151(v284) between f18417 and f17823 - r30508 tested simplicialtop vertices: p256(v524) p647(v177) p74(v98) between f8139 and f17823 - r30034 tested simplicialbot vertices: p138(v463) p137(v300) p74(v98) between f17823 and f7067 - r29789 tested simplicialbot vertices: p904(v466) p647(v177) p74(v98) between f17823 and f18560 - r29785 tested vertices: p904(v466) p647(v177) p837(v53) between f18560 and f17823 - r31428 tested simplicialbot vertices: p658(v638) p359(v317) p809(v190) between f17823 and f18427 - r30184 tested simplicialtop vertices: p904(v466) p594(v178) p74(v98) between f7090 and f17823 - r30182 tested simplicialbot vertices: p137(v300) p594(v178) p74(v98) between f17823 and f4454 - r30147 tested simplicialbot vertices: p256(v524) p527(v464) p74(v98) between f17823 and f8140 - r30037 tested simplicialbot vertices: p527(v464) p138(v463) p74(v98) between f17823 and f7072 - r29602 tested simplicialtop vertices: p527(v464) p481(v298) p439(v176) between f7068 and f17823 - r29942 tested simplicialtop vertices: p138(v463) p137(v300) p113(v49) between f7066 and f17823 - r30743 tested simplicialbot vertices: p904(v466) p462(v173) p837(v53) between f17823 and f18565 - r30762 tested vertices: p246(v471) p672(v459) p908(v306) between f18506 and f17823 - r31291 tested vertices: p672(v459) p908(v306) p837(v53) between f17823 and f18506 - r30740 tested simplicialtop vertices: p672(v459) p462(v173) p837(v53) between f18506 and f17823 - r31308 tested simplicialtop vertices: p904(v466) p345(v302) p594(v178) between f7091 and f17823 - r31046 tested simplicialbot vertices: p438(v334) p644(v58) p358(v19) between f17823 and f4982 - r31477 tested simplicialbot vertices: p573(v644) p193(v292) p66(v99) between f17823 and f18500 - r30899 tested simplicialbot vertices: p904(v466) p345(v302) p462(v173) between f17823 and f7102 - r31487 tested simplicialtop vertices: p573(v644) p529(v458) p278(v180) between f18492 and f17823 - r31486 tested simplicialbot vertices: p573(v644) p908(v306) p278(v180) between f17823 and f18491 - r29763 tested simplicialbot vertices: p764(v597) p526(v596) p216(v156) between f17823 and f11025 - r29759 tested simplicialtop vertices: p764(v597) p526(v596) p334(v87) between f11022 and f17823 - r29301 tested simplicialtop vertices: p528(v603) p298(v601) p273(v265) between f12067 and f17823 - r29860 tested simplicialtop vertices: p61(v460) p696(v296) p977(v174) between f18523 and f17823 - r31485 tested simplicialtop vertices: p573(v644) p413(v642) p529(v458) between f18498 and f17823 - r31452 tested simplicialtop vertices: p775(v639) p235(v539) p881(v96) between f18450 and f17823 - r31543 tested simplicialbot vertices: p198(v654) p844(v523) p740(v470) between f17823 and f18586 - r29098 tested simplicialbot vertices: p61(v460) p434(v294) p977(v174) between f17823 and f18520 - r29095 tested simplicialtop vertices: p639(v462) p434(v294) p977(v174) between f7050 and f17823 - r31557 tested simplicialbot vertices: p744(v656) p20(v293) p861(v97) between f17823 and f18603 - r31438 tested simplicialtop vertices: p658(v638) p611(v637) p499(v455) between f18438 and f17823 - r30406 tested simplicialtop vertices: p672(v459) p20(v293) p462(v173) between f7013 and f17823 - r29387 tested vertices: p61(v460) p20(v293) p861(v97) between f18529 and f17823 - r30813 tested simplicialbot vertices: p61(v460) p696(v296) p861(v97) between f17823 and f18529 - r30112 tested simplicialtop vertices: p865(v525) p412(v465) p629(v161) between f8170 and f17823 - r30989 tested simplicialbot vertices: p469(v578) p374(v401) p678(v138) between f17823 and f9572 - r31444 tested simplicialtop vertices: p611(v637) p736(v457) p131(v456) between f18425 and f17823 - r31580 tested simplicialbot vertices: p416(v659) p242(v481) p867(v191) between f17823 and f18630 - r31174 tested simplicialtop vertices: p713(v297) p696(v296) p327(v175) between f4431 and f17823 - r29542 tested simplicialtop vertices: p469(v578) p249(v400) p342(v245) between f9574 and f17823 - r31578 tested simplicialtop vertices: p416(v659) p713(v297) p237(v109) between f18627 and f17823 - r31234 tested simplicialbot vertices: p242(v481) p506(v318) p867(v191) between f17823 and f7432 - r31478 tested simplicialtop vertices: p573(v644) p150(v468) p66(v99) between f18501 and f17823 - r30907 tested simplicialbot vertices: p246(v471) p767(v305) p278(v180) between f17823 and f7174 - r31544 tested simplicialbot vertices: p198(v654) p740(v470) p189(v304) between f17823 and f18590 - r29885 tested simplicialbot vertices: p713(v297) p696(v296) p977(v174) between f17823 and f4430 - r31545 tested simplicialtop vertices: p198(v654) p940(v631) p189(v304) between f18591 and f17823 - r29008 tested simplicialtop vertices: p779(v611) p72(v425) p162(v89) between f13294 and f17823 - r29961 tested simplicialbot vertices: p779(v611) p737(v273) p629(v161) between f17823 and f13298 - r30688 tested simplicialbot vertices: p865(v525) p724(v353) p629(v161) between f17823 and f8171 - r30078 tested simplicialtop vertices: p87(v352) p680(v205) p382(v39) between f5288 and f17823 - r29004 tested simplicialbot vertices: p779(v611) p629(v161) p162(v89) between f17823 and f13296 - r30081 tested simplicialbot vertices: p87(v352) p680(v205) p135(v66) between f17823 and f5286 - r29936 tested simplicialtop vertices: p724(v353) p629(v161) p162(v89) between f5306 and f17823 - r28856 tested simplicialbot vertices: p250(v605) p996(v424) p762(v158) between f17823 and f12093 - r28852 tested simplicialtop vertices: p264(v604) p996(v424) p762(v158) between f12083 and f17823 - r30173 tested simplicialbot vertices: p264(v604) p352(v423) p610(v77) between f17823 and f12079 - r30228 tested simplicialbot vertices: p250(v605) p842(v599) p153(v159) between f17823 and f12095 - r30284 tested simplicialbot vertices: p264(v604) p996(v424) p352(v423) between f17823 and f12084 - r30288 tested simplicialbot vertices: p264(v604) p111(v571) p762(v158) between f17823 and f12086 - r31261 tested simplicialbot vertices: p111(v571) p505(v268) p762(v158) between f17823 and f9121 - r30517 tested simplicialtop vertices: p250(v605) p440(v267) p762(v158) between f12092 and f17823 - r29729 tested simplicialtop vertices: p250(v605) p996(v424) p153(v159) between f12094 and f17823 - r29726 tested simplicialtop vertices: p996(v424) p280(v270) p153(v159) between f6420 and f17823 - r29964 tested simplicialtop vertices: p996(v424) p352(v423) p280(v270) between f6422 and f17823 - r29337 tested simplicialtop vertices: p383(v420) p505(v268) p440(v267) between f6380 and f17823 - r30170 tested simplicialtop vertices: p155(v569) p352(v423) p610(v77) between f9100 and f17823 - r31213 tested simplicialtop vertices: p1(v581) p826(v518) p382(v39) between f9606 and f17823 - r30931 tested simplicialtop vertices: p264(v604) p111(v571) p396(v397) between f12087 and f17823 - r29334 tested simplicialbot vertices: p355(v598) p383(v420) p505(v268) between f17823 and f11028 - r31161 tested simplicialtop vertices: p264(v604) p396(v397) p610(v77) between f12081 and f17823 - r30845 tested simplicialbot vertices: p505(v268) p440(v267) p762(v158) between f17823 and f4008 - r30712 tested simplicialbot vertices: p453(v564) p42(v392) p28(v130) between f17823 and f9000 - r31362 tested simplicialbot vertices: p155(v569) p352(v423) p110(v247) between f17823 and f9101 - r28800 tested simplicialtop vertices: p111(v571) p505(v268) p378(v242) between f9117 and f17823 - r28796 tested simplicialbot vertices: p355(v598) p505(v268) p378(v242) between f17823 and f11034 - r29073 tested simplicialtop vertices: p790(v418) p886(v264) p153(v159) between f6343 and f17823 - r29070 tested simplicialbot vertices: p790(v418) p886(v264) p334(v87) between f17823 and f6342 - r31292 tested simplicialtop vertices: p352(v423) p110(v247) p875(v141) between f6409 and f17823 - r31275 tested simplicialbot vertices: p842(v599) p886(v264) p153(v159) between f17823 and f11037 - r29576 tested simplicialbot vertices: p528(v603) p492(v422) p280(v270) between f17823 and f12077 - r29205 tested simplicialtop vertices: p145(v600) p492(v422) p280(v270) between f11050 and f17823 - r31344 tested simplicialbot vertices: p617(v570) p414(v248) p816(v79) between f17823 and f9109 - r28838 tested simplicialbot vertices: p528(v603) p790(v418) p334(v87) between f17823 and f12071 - r29573 tested simplicialbot vertices: p528(v603) p280(v270) p153(v159) between f17823 and f12076 - r31171 tested simplicialbot vertices: p492(v422) p414(v248) p875(v141) between f17823 and f6394 - r31342 tested simplicialbot vertices: p779(v611) p500(v402) p965(v13) between f17823 and f13285 - r28981 tested simplicialbot vertices: p145(v600) p352(v423) p280(v270) between f17823 and f11053 - r29202 tested simplicialbot vertices: p145(v600) p492(v422) p875(v141) between f17823 and f11049 - r30606 tested simplicialtop vertices: p617(v570) p414(v248) p875(v141) between f9110 and f17823 - r28977 tested simplicialtop vertices: p145(v600) p352(v423) p875(v141) between f11052 and f17823 - r28842 tested simplicialtop vertices: p528(v603) p790(v418) p153(v159) between f12070 and f17823 - r30068 tested simplicialtop vertices: p427(v358) p674(v218) p451(v122) between f5387 and f17823 - r30610 tested simplicialbot vertices: p617(v570) p110(v247) p875(v141) between f17823 and f9108 - r30534 tested simplicialtop vertices: p617(v570) p341(v396) p540(v140) between f9103 and f17823 - r31253 tested simplicialbot vertices: p575(v522) p825(v516) p560(v349) between f17823 and f8106 - r29874 tested simplicialbot vertices: p54(v602) p500(v402) p414(v248) between f17823 and f12062 - r31340 tested simplicialtop vertices: p204(v579) p414(v248) p816(v79) between f9585 and f17823 - r30760 tested simplicialtop vertices: p54(v602) p492(v422) p414(v248) between f12063 and f17823 - r30885 tested simplicialbot vertices: p54(v602) p298(v601) p965(v13) between f17823 and f12059 - r29870 tested simplicialtop vertices: p54(v602) p500(v402) p965(v13) between f12057 and f17823 - r30307 tested simplicialtop vertices: p204(v579) p500(v402) p414(v248) between f9586 and f17823 - r29138 tested simplicialbot vertices: p779(v611) p976(v608) p500(v402) between f17823 and f13290 - r30153 tested simplicialbot vertices: p528(v603) p298(v601) p492(v422) between f17823 and f12068 - r30149 tested simplicialtop vertices: p54(v602) p298(v601) p492(v422) between f12060 and f17823 - r30105 tested simplicialbot vertices: p976(v608) p351(v607) p267(v160) between f17823 and f12165 - r29746 tested simplicialtop vertices: p204(v579) p704(v429) p267(v160) between f9584 and f17823 - r31007 tested simplicialtop vertices: p704(v429) p484(v272) p267(v160) between f6489 and f17823 - r29742 tested simplicialtop vertices: p976(v608) p204(v579) p267(v160) between f12162 and f17823 - r29135 tested simplicialtop vertices: p779(v611) p976(v608) p72(v425) between f13292 and f17823 - r29667 tested simplicialtop vertices: p865(v525) p89(v521) p572(v356) between f8167 and f17823 - r30246 tested simplicialbot vertices: p704(v429) p2(v139) p816(v79) between f17823 and f6492 - r31107 tested simplicialbot vertices: p75(v553) p478(v378) p269(v230) between f17823 and f8816 - r30243 tested simplicialbot vertices: p204(v579) p704(v429) p816(v79) between f17823 and f9583 - r29559 tested simplicialbot vertices: p59(v610) p704(v429) p656(v427) between f17823 and f12183 - r29563 tested simplicialtop vertices: p59(v610) p704(v429) p2(v139) between f12181 and f17823 - r30641 tested simplicialtop vertices: p954(v413) p914(v154) p142(v86) between f6289 and f17823 - r31010 tested simplicialtop vertices: p704(v429) p656(v427) p484(v272) between f6495 and f17823 - r30066 tested simplicialtop vertices: p425(v509) p427(v358) p451(v122) between f7858 and f17823 - r31252 tested simplicialbot vertices: p77(v428) p484(v272) p267(v160) between f17823 and f6478 - r31297 tested simplicialbot vertices: p976(v608) p204(v579) p500(v402) between f17823 and f12163 - r31345 tested simplicialtop vertices: p779(v611) p298(v601) p965(v13) between f13287 and f17823 - r30537 tested simplicialbot vertices: p617(v570) p341(v396) p110(v247) between f17823 and f9105 - r30344 tested simplicialbot vertices: p525(v355) p724(v353) p350(v217) between f17823 and f5332 - r31000 tested simplicialtop vertices: p73(v609) p525(v355) p724(v353) between f12178 and f17823 - r30341 tested simplicialtop vertices: p525(v355) p922(v354) p350(v217) between f5330 and f17823 - r28807 tested simplicialtop vertices: p325(v514) p933(v338) p255(v118) between f7926 and f17823 - r29581 tested simplicialtop vertices: p89(v521) p724(v353) p350(v217) between f8064 and f17823 - r30951 tested simplicialbot vertices: p351(v607) p72(v425) p162(v89) between f17823 and f12158 - r31143 tested simplicialtop vertices: p192(v606) p724(v353) p162(v89) between f12146 and f17823 - r30190 tested simplicialtop vertices: p351(v607) p77(v428) p257(v271) between f12154 and f17823 - r30385 tested simplicialbot vertices: p342(v245) p678(v138) p628(v40) between f17823 and f3588 - r31286 tested simplicialtop vertices: p976(v608) p351(v607) p72(v425) between f12166 and f17823 - r30101 tested simplicialbot vertices: p351(v607) p77(v428) p267(v160) between f17823 and f12153 - r30186 tested simplicialbot vertices: p77(v428) p257(v271) p628(v40) between f17823 and f6473 - r30192 tested simplicialbot vertices: p351(v607) p192(v606) p257(v271) between f17823 and f12156 - r30115 tested simplicialbot vertices: p73(v609) p512(v399) p587(v214) between f17823 and f12173 - r30257 tested simplicialbot vertices: p192(v606) p805(v426) p257(v271) between f17823 and f12144 - r30260 tested simplicialtop vertices: p805(v426) p257(v271) p628(v40) between f6445 and f17823 - r30768 tested simplicialtop vertices: p73(v609) p192(v606) p805(v426) between f12176 and f17823 - r30770 tested simplicialbot vertices: p73(v609) p192(v606) p724(v353) between f17823 and f12179 - r30954 tested simplicialtop vertices: p351(v607) p192(v606) p162(v89) between f12159 and f17823 - r28725 tested simplicialbot vertices: p805(v426) p587(v214) p628(v40) between f17823 and f6444 - r28721 tested simplicialtop vertices: p512(v399) p587(v214) p628(v40) between f6056 and f17823 - r30118 tested simplicialtop vertices: p73(v609) p805(v426) p587(v214) between f12171 and f17823 - r29505 tested simplicialbot vertices: p575(v522) p922(v354) p350(v217) between f17823 and f8107 - r29578 tested simplicialbot vertices: p89(v521) p91(v357) p350(v217) between f17823 and f8071 - r30221 tested simplicialtop vertices: p560(v349) p984(v215) p380(v209) between f5233 and f17823 - r29501 tested simplicialtop vertices: p575(v522) p91(v357) p350(v217) between f8108 and f17823 - r30313 tested simplicialtop vertices: p575(v522) p825(v516) p661(v67) between f8105 and f17823 - r30786 tested simplicialbot vertices: p865(v525) p89(v521) p724(v353) between f17823 and f8172 - r31187 tested simplicialtop vertices: p89(v521) p91(v357) p572(v356) between f8072 and f17823 - r31265 tested simplicialtop vertices: p575(v522) p922(v354) p984(v215) between f8096 and f17823 - r31230 tested simplicialbot vertices: p354(v507) p720(v350) p832(v22) between f17823 and f7829 - r31263 tested simplicialbot vertices: p575(v522) p560(v349) p984(v215) between f17823 and f8087 - r31301 tested simplicialbot vertices: p512(v399) p342(v245) p628(v40) between f17823 and f6057 - r29062 tested simplicialtop vertices: p949(v520) p425(v509) p572(v356) between f8041 and f17823 - r30734 tested simplicialtop vertices: p949(v520) p91(v357) p661(v67) between f8038 and f17823 - r29058 tested simplicialbot vertices: p949(v520) p91(v357) p572(v356) between f17823 and f8039 - r30317 tested simplicialbot vertices: p575(v522) p91(v357) p661(v67) between f17823 and f8097 - r29619 tested simplicialbot vertices: p425(v509) p572(v356) p451(v122) between f17823 and f7861 - r28745 tested simplicialbot vertices: p949(v520) p425(v509) p466(v344) between f17823 and f8040 - r31199 tested simplicialtop vertices: p425(v509) p466(v344) p272(v211) between f7857 and f17823 - r28741 tested simplicialtop vertices: p949(v520) p825(v516) p466(v344) between f8037 and f17823 - r30334 tested simplicialbot vertices: p949(v520) p825(v516) p661(v67) between f17823 and f8036 - r29671 tested simplicialtop vertices: p865(v525) p572(v356) p451(v122) between f8148 and f17823 - r30997 tested simplicialbot vertices: p248(v549) p2(v139) p209(v76) between f17823 and f8747 - r31104 tested simplicialtop vertices: p75(v553) p714(v379) p269(v230) between f8814 and f17823 - r30094 tested simplicialbot vertices: p318(v241) p540(v140) p315(v24) between f17823 and f3543 - r30993 tested simplicialtop vertices: p248(v549) p714(v379) p209(v76) between f8748 and f17823 - r31137 tested simplicialtop vertices: p427(v358) p907(v342) p241(v41) between f5388 and f17823 - r31021 tested simplicialbot vertices: p248(v549) p714(v379) p269(v230) between f17823 and f8743 - r29295 tested simplicialtop vertices: p75(v553) p613(v547) p754(v380) between f8815 and f17823 - r30707 tested simplicialtop vertices: p540(v140) p2(v139) p816(v79) between f1896 and f17823 - r31288 tested simplicialtop vertices: p617(v570) p540(v140) p816(v79) between f9102 and f17823 - r30704 tested simplicialbot vertices: p540(v140) p2(v139) p501(v45) between f17823 and f1895 - r31102 tested simplicialtop vertices: p248(v549) p2(v139) p501(v45) between f8746 and f17823 - r30098 tested simplicialbot vertices: p540(v140) p501(v45) p315(v24) between f17823 and f1892 - r31223 tested simplicialbot vertices: p248(v549) p269(v230) p501(v45) between f17823 and f8742 - r31119 tested simplicialtop vertices: p478(v378) p269(v230) p501(v45) between f5687 and f17823 - r30696 tested simplicialtop vertices: p749(v548) p478(v378) p501(v45) between f8732 and f17823 - r30725 tested simplicialbot vertices: p33(v576) p922(v354) p165(v351) between f17823 and f9559 - r31276 tested simplicialbot vertices: p33(v576) p165(v351) p787(v216) between f17823 and f9557 - r31330 tested simplicialbot vertices: p33(v576) p787(v216) p32(v121) between f17823 and f9556 - r30670 tested simplicialbot vertices: p129(v519) p922(v354) p984(v215) between f17823 and f8014 - r30176 tested simplicialtop vertices: p129(v519) p927(v517) p832(v22) between f8018 and f17823 - r29944 tested simplicialbot vertices: p129(v519) p927(v517) p165(v351) between f17823 and f8019 - r29948 tested simplicialtop vertices: p129(v519) p922(v354) p165(v351) between f8015 and f17823 - r30359 tested simplicialbot vertices: p129(v519) p984(v215) p832(v22) between f17823 and f8016 - r30179 tested simplicialtop vertices: p927(v517) p720(v350) p832(v22) between f7962 and f17823 - r30447 tested simplicialbot vertices: p789(v550) p943(v383) p294(v232) between f17823 and f8752 - r29282 tested simplicialbot vertices: p254(v551) p789(v550) p294(v232) between f17823 and f8786 - r28967 tested simplicialbot vertices: p148(v555) p789(v550) p754(v380) between f17823 and f8846 - r28963 tested simplicialtop vertices: p254(v551) p789(v550) p754(v380) between f8787 and f17823 - r29291 tested simplicialbot vertices: p75(v553) p613(v547) p478(v378) between f17823 and f8817 - r31221 tested simplicialtop vertices: p148(v555) p75(v553) p754(v380) between f8848 and f17823 - r30384 tested simplicialbot vertices: p927(v517) p720(v350) p787(v216) between f17823 and f7964 - r30381 tested simplicialtop vertices: p927(v517) p165(v351) p787(v216) between f7965 and f17823 - r30201 tested simplicialtop vertices: p533(v253) p2(v139) p209(v76) between f3756 and f17823 - r31364 tested simplicialtop vertices: p158(v254) p944(v148) p105(v83) between f3771 and f17823 - r31315 tested simplicialbot vertices: p944(v148) p105(v83) p209(v76) between f17823 and f1977 - r30197 tested simplicialbot vertices: p533(v253) p944(v148) p209(v76) between f17823 and f3757 - r30057 tested simplicialbot vertices: p656(v427) p550(v246) p691(v78) between f17823 and f6459 - r29993 tested simplicialbot vertices: p533(v253) p2(v139) p691(v78) between f17823 and f3759 - r29990 tested simplicialtop vertices: p59(v610) p2(v139) p691(v78) between f12180 and f17823 - r30630 tested simplicialtop vertices: p826(v518) p87(v352) p382(v39) between f7994 and f17823 - r31128 tested simplicialbot vertices: p59(v610) p656(v427) p691(v78) between f17823 and f12182 - r30677 tested simplicialtop vertices: p656(v427) p374(v401) p678(v138) between f6456 and f17823 - r29092 tested simplicialbot vertices: p469(v578) p436(v577) p550(v246) between f17823 and f9579 - r28714 tested simplicialbot vertices: p77(v428) p656(v427) p484(v272) between f17823 and f6476 - r30054 tested simplicialbot vertices: p656(v427) p374(v401) p550(v246) between f17823 and f6460 - r31273 tested simplicialbot vertices: p550(v246) p741(v137) p691(v78) between f17823 and f3664 - r28718 tested simplicialtop vertices: p77(v428) p656(v427) p678(v138) between f6475 and f17823 - r29243 tested simplicialtop vertices: p789(v550) p574(v394) p993(v73) between f8768 and f17823 - r30992 tested simplicialtop vertices: p179(v568) p222(v390) p510(v44) between f9086 and f17823 - r29240 tested simplicialtop vertices: p148(v555) p789(v550) p993(v73) between f8845 and f17823 - r30890 tested simplicialbot vertices: p148(v555) p196(v382) p993(v73) between f17823 and f8839 - r30539 tested simplicialtop vertices: p722(v567) p368(v388) p667(v153) between f9077 and f17823 - r29710 tested simplicialtop vertices: p75(v553) p411(v552) p209(v76) between f8807 and f17823 - r29682 tested simplicialtop vertices: p722(v567) p196(v382) p993(v73) between f9066 and f17823 - r29678 tested simplicialtop vertices: p722(v567) p152(v554) p196(v382) between f9068 and f17823 - r28835 tested simplicialbot vertices: p574(v394) p600(v234) p510(v44) between f17823 and f5988 - r28831 tested simplicialtop vertices: p722(v567) p574(v394) p600(v234) between f9070 and f17823 - r30990 tested simplicialtop vertices: p222(v390) p784(v386) p510(v44) between f5891 and f17823 - r30354 tested simplicialbot vertices: p788(v143) p926(v38) p37(v20) between f17823 and f1934 - r29459 tested simplicialbot vertices: p179(v568) p574(v394) p510(v44) between f17823 and f9080 - r29792 tested simplicialbot vertices: p722(v567) p574(v394) p993(v73) between f17823 and f9067 - r29607 tested simplicialtop vertices: p368(v388) p188(v387) p142(v86) between f5864 and f17823 - r29975 tested simplicialbot vertices: p179(v568) p547(v566) p574(v394) between f17823 and f9084 - r30854 tested simplicialtop vertices: p784(v386) p600(v234) p510(v44) between f5827 and f17823 - r30648 tested simplicialbot vertices: p954(v413) p188(v387) p142(v86) between f17823 and f6291 - r30739 tested simplicialbot vertices: p152(v554) p196(v382) p685(v231) between f17823 and f8825 - r30735 tested simplicialtop vertices: p148(v555) p196(v382) p685(v231) between f8840 and f17823 - r31082 tested simplicialtop vertices: p411(v552) p917(v381) p915(v25) between f8791 and f17823 - r30850 tested simplicialbot vertices: p148(v555) p917(v381) p685(v231) between f17823 and f8855 - r30396 tested simplicialbot vertices: p152(v554) p685(v231) p667(v153) between f17823 and f8824 - r30392 tested simplicialtop vertices: p917(v381) p685(v231) p667(v153) between f5736 and f17823 - r31011 tested simplicialbot vertices: p148(v555) p411(v552) p917(v381) between f17823 and f8856 - r30949 tested simplicialtop vertices: p917(v381) p667(v153) p915(v25) between f5735 and f17823 - r30945 tested simplicialbot vertices: p850(v261) p667(v153) p915(v25) between f17823 and f3915 - r29714 tested simplicialbot vertices: p148(v555) p75(v553) p411(v552) between f17823 and f8849 - r31206 tested simplicialbot vertices: p411(v552) p209(v76) p915(v25) between f17823 and f8790 - r30542 tested simplicialbot vertices: p722(v567) p152(v554) p667(v153) between f17823 and f9078 - r30926 tested simplicialtop vertices: p850(v261) p517(v252) p105(v83) between f3929 and f17823 - r31257 tested simplicialbot vertices: p75(v553) p714(v379) p209(v76) between f17823 and f8806 - r31282 tested simplicialtop vertices: p368(v388) p850(v261) p667(v153) between f5853 and f17823 - r29405 tested simplicialbot vertices: p222(v390) p784(v386) p630(v235) between f17823 and f5892 - r31062 tested simplicialtop vertices: p912(v469) p908(v306) p837(v53) between f18503 and f17823 - r30332 tested simplicialbot vertices: p772(v395) p210(v239) p681(v29) between f17823 and f5994 - r29401 tested simplicialbot vertices: p222(v390) p630(v235) p467(v75) between f17823 and f5881 - r31068 tested simplicialtop vertices: p290(v559) p124(v389) p602(v16) between f8908 and f17823 - r30937 tested simplicialtop vertices: p784(v386) p630(v235) p293(v131) between f5831 and f17823 - r31141 tested simplicialtop vertices: p210(v239) p630(v235) p467(v75) between f3500 and f17823 - r30329 tested simplicialbot vertices: p210(v239) p630(v235) p681(v29) between f17823 and f3499 - r31196 tested simplicialbot vertices: p784(v386) p600(v234) p293(v131) between f17823 and f5828 - r31224 tested simplicialbot vertices: p124(v389) p630(v235) p293(v131) between f17823 and f5869 - r29492 tested simplicialtop vertices: p290(v559) p600(v234) p293(v131) between f8903 and f17823 - r31363 tested simplicialtop vertices: p850(v261) p105(v83) p915(v25) between f3928 and f17823 - r29280 tested simplicialtop vertices: p850(v261) p914(v154) p747(v147) between f3925 and f17823 - r29488 tested simplicialbot vertices: p290(v559) p124(v389) p293(v131) between f17823 and f8909 - r30672 tested simplicialbot vertices: p722(v567) p188(v387) p600(v234) between f17823 and f9072 - r31318 tested simplicialtop vertices: p105(v83) p209(v76) p915(v25) between f1015 and f17823 - r29877 tested simplicialtop vertices: p290(v559) p188(v387) p600(v234) between f8902 and f17823 - r29610 tested simplicialbot vertices: p722(v567) p368(v388) p188(v387) between f17823 and f9075 - r29182 tested simplicialbot vertices: p368(v388) p850(v261) p914(v154) between f17823 and f5867 - r29276 tested simplicialbot vertices: p850(v261) p517(v252) p747(v147) between f17823 and f3926 - r30923 tested simplicialbot vertices: p158(v254) p517(v252) p105(v83) between f17823 and f3775 - r29178 tested simplicialbot vertices: p368(v388) p914(v154) p142(v86) between f17823 and f5866 - r30388 tested simplicialtop vertices: p77(v428) p678(v138) p628(v40) between f6472 and f17823 - r30898 tested simplicialbot vertices: p680(v205) p741(v137) p135(v66) between f17823 and f2847 - r31066 tested simplicialtop vertices: p436(v577) p550(v246) p741(v137) between f9566 and f17823 - r31279 tested simplicialbot vertices: p548(v406) p176(v255) p274(v84) between f17823 and f6182 - r28845 tested simplicialtop vertices: p680(v205) p741(v137) p648(v4) between f2858 and f17823 - r28849 tested simplicialbot vertices: p680(v205) p274(v84) p648(v4) between f17823 and f2857 - r29552 tested simplicialbot vertices: p158(v254) p944(v148) p648(v4) between f17823 and f3769 - r29815 tested simplicialtop vertices: p533(v253) p741(v137) p691(v78) between f3760 and f17823 - r29593 tested simplicialbot vertices: p517(v252) p180(v149) p49(v47) between f17823 and f3753 - r31129 tested simplicialtop vertices: p533(v253) p944(v148) p648(v4) between f3763 and f17823 - r29812 tested simplicialbot vertices: p533(v253) p741(v137) p648(v4) between f17823 and f3762 - r29556 tested simplicialtop vertices: p158(v254) p274(v84) p648(v4) between f3772 and f17823 - r29809 tested simplicialbot vertices: p548(v406) p680(v205) p382(v39) between f17823 and f6178 - r31225 tested simplicialtop vertices: p23(v584) p274(v84) p49(v47) between f9958 and f17823 - r29250 tested simplicialtop vertices: p158(v254) p517(v252) p180(v149) between f3776 and f17823 - r31212 tested simplicialtop vertices: p517(v252) p747(v147) p49(v47) between f3752 and f17823 - r29806 tested simplicialbot vertices: p1(v581) p548(v406) p382(v39) between f17823 and f9604 - r29246 tested simplicialtop vertices: p158(v254) p180(v149) p274(v84) between f3774 and f17823 - r29596 tested simplicialbot vertices: p180(v149) p274(v84) p49(v47) between f17823 and f1987 - r30699 tested simplicialtop vertices: p749(v548) p613(v547) p478(v378) between f8739 and f17823 - r28877 tested simplicialtop vertices: p436(v577) p741(v137) p135(v66) between f9565 and f17823 - r28873 tested simplicialbot vertices: p436(v577) p249(v400) p135(v66) between f17823 and f9563 - r29529 tested simplicialbot vertices: p23(v584) p914(v154) p49(v47) between f17823 and f9953 - r29569 tested simplicialtop vertices: p23(v584) p914(v154) p808(v85) between f9954 and f17823 - r31281 tested simplicialtop vertices: p548(v406) p680(v205) p274(v84) between f6181 and f17823 - r29526 tested simplicialbot vertices: p914(v154) p747(v147) p49(v47) between f17823 and f2056 - r30720 tested simplicialbot vertices: p282(v361) p924(v219) p745(v127) between f17823 and f5425 - r31328 tested simplicialbot vertices: p30(v546) p947(v377) p173(v229) between f17823 and f8687 - r29018 tested simplicialbot vertices: p768(v391) p282(v361) p133(v228) between f17823 and f5896 - r30717 tested simplicialtop vertices: p924(v219) p745(v127) p260(v70) between f3141 and f17823 - r31065 tested simplicialtop vertices: p282(v361) p924(v219) p605(v31) between f5424 and f17823 - r30731 tested simplicialbot vertices: p812(v560) p924(v219) p605(v31) between f17823 and f8912 - r30469 tested simplicialtop vertices: p812(v560) p924(v219) p292(v3) between f8918 and f17823 - r30465 tested simplicialbot vertices: p234(v362) p924(v219) p292(v3) between f17823 and f5455 - r29650 tested simplicialbot vertices: p531(v620) p38(v308) p663(v240) between f17823 and f14700 - r30046 tested simplicialbot vertices: p173(v229) p699(v128) p260(v70) between f17823 and f3335 - r31374 tested simplicialbot vertices: p668(v545) p234(v362) p314(v123) between f17823 and f8684 - r30682 tested simplicialbot vertices: p234(v362) p173(v229) p924(v219) between f17823 and f5457 - r30793 tested simplicialtop vertices: p812(v560) p496(v236) p605(v31) between f8913 and f17823 - r30662 tested simplicialtop vertices: p30(v546) p234(v362) p173(v229) between f8686 and f17823 - r29046 tested simplicialtop vertices: p752(v573) p111(v571) p378(v242) between f9163 and f17823 - r29700 tested simplicialbot vertices: p531(v620) p71(v182) p743(v181) between f17823 and f13516 - r30658 tested simplicialtop vertices: p30(v546) p668(v545) p234(v362) between f8688 and f17823 - r30049 tested simplicialtop vertices: p173(v229) p924(v219) p260(v70) between f3336 and f17823 - r31247 tested simplicialbot vertices: p699(v128) p745(v127) p260(v70) between f17823 and f1697 - r30351 tested simplicialbot vertices: p768(v391) p496(v236) p605(v31) between f17823 and f5894 - r30348 tested simplicialtop vertices: p768(v391) p282(v361) p605(v31) between f5895 and f17823 - r29022 tested simplicialtop vertices: p768(v391) p871(v376) p133(v228) between f5897 and f17823 - r28732 tested simplicialbot vertices: p812(v560) p561(v135) p292(v3) between f17823 and f8917 - r29855 tested simplicialbot vertices: p210(v239) p561(v135) p467(v75) between f17823 and f3498 - r28728 tested simplicialtop vertices: p812(v560) p561(v135) p467(v75) between f8915 and f17823 - r29731 tested simplicialtop vertices: p772(v395) p210(v239) p561(v135) between f5990 and f17823 - r29735 tested simplicialtop vertices: p772(v395) p561(v135) p292(v3) between f5992 and f17823 - r29495 tested simplicialtop vertices: p179(v568) p6(v561) p222(v390) between f9087 and f17823 - r29499 tested simplicialtop vertices: p6(v561) p812(v560) p222(v390) between f8940 and f17823 - r29660 tested simplicialtop vertices: p71(v182) p707(v101) p681(v29) between f2531 and f17823 - r29422 tested simplicialtop vertices: p772(v395) p663(v240) p71(v182) between f5999 and f17823 - r29656 tested simplicialtop vertices: p71(v182) p743(v181) p707(v101) between f2536 and f17823 - r29654 tested simplicialbot vertices: p531(v620) p663(v240) p71(v182) between f17823 and f13515 - r29426 tested simplicialtop vertices: p772(v395) p71(v182) p681(v29) between f5998 and f17823 - r31210 tested simplicialbot vertices: p772(v395) p663(v240) p292(v3) between f17823 and f5993 - r30803 tested simplicialbot vertices: p812(v560) p222(v390) p467(v75) between f17823 and f8916 - r30270 tested simplicialbot vertices: p743(v181) p707(v101) p579(v7) between f17823 and f2516 - r30267 tested simplicialbot vertices: p707(v101) p681(v29) p579(v7) between f17823 and f1262 - r30224 tested simplicialbot vertices: p984(v215) p380(v209) p832(v22) between f17823 and f3088 - r31189 tested simplicialtop vertices: p314(v123) p608(v100) p292(v3) between f1583 and f17823 - r29288 tested simplicialtop vertices: p720(v350) p190(v336) p938(v207) between f5242 and f17823 - r30891 tested simplicialbot vertices: p601(v544) p559(v375) p820(v226) between f17823 and f8622 - r29509 tested simplicialbot vertices: p151(v284) p402(v167) p477(v93) between f17823 and f4268 - r29918 tested simplicialtop vertices: p38(v308) p663(v240) p608(v100) between f4563 and f17823 - r30972 tested simplicialtop vertices: p340(v404) p681(v29) p579(v7) between f6142 and f17823 - r30016 tested simplicialbot vertices: p675(v251) p788(v143) p37(v20) between f17823 and f3740 - r30825 tested simplicialbot vertices: p197(v249) p384(v82) p489(v46) between f17823 and f3705 - r30234 tested simplicialtop vertices: p202(v309) p38(v308) p608(v100) between f4569 and f17823 - r29921 tested simplicialbot vertices: p663(v240) p608(v100) p292(v3) between f17823 and f3520 - r27099 tested simplicialbot vertices: p524(v615) p716(v432) p980(v162) between f17823 and f13400 - r30357 tested simplicialbot vertices: p788(v143) p854(v81) p926(v38) between f17823 and f1935 - r30491 tested simplicialbot vertices: p968(v612) p514(v543) p902(v374) between f17823 and f13304 - r31332 tested simplicialtop vertices: p33(v576) p922(v354) p32(v121) between f9558 and f17823 - r29515 tested simplicialtop vertices: p968(v612) p514(v543) p403(v225) between f13303 and f17823 - r30020 tested simplicialtop vertices: p675(v251) p788(v143) p854(v81) between f3746 and f17823 - r31372 tested simplicialtop vertices: p234(v362) p314(v123) p292(v3) between f5454 and f17823 - r30823 tested simplicialbot vertices: p229(v591) p870(v414) p489(v46) between f17823 and f10969 - r29838 tested simplicialtop vertices: p469(v578) p436(v577) p249(v400) between f9576 and f17823 - r27812 tested simplicialtop vertices: p994(v449) p361(v282) p208(v166) between f6871 and f17823 - r28261 tested simplicialtop vertices: p430(v541) p986(v431) p297(v12) between f8562 and f17823 - r31134 tested simplicialbot vertices: p991(v436) p675(v251) p37(v20) between f17823 and f6666 - r27391 tested simplicialbot vertices: p479(v444) p361(v282) p477(v93) between f17823 and f6799 - r27394 tested simplicialtop vertices: p994(v449) p479(v444) p361(v282) between f6885 and f17823 - r28437 tested simplicialbot vertices: p994(v449) p479(v444) p394(v27) between f17823 and f6884 - r27490 tested simplicialtop vertices: p728(v624) p78(v440) p803(v281) between f15940 and f17823 - r26970 tested simplicialbot vertices: p524(v615) p397(v446) p634(v285) between f17823 and f13403 - r27108 tested simplicialbot vertices: p385(v447) p479(v444) p402(v167) between f17823 and f6845 - r27794 tested simplicialbot vertices: p968(v612) p986(v431) p403(v225) between f17823 and f13300 - r27104 tested simplicialtop vertices: p479(v444) p402(v167) p477(v93) between f6798 and f17823 - r27325 tested simplicialtop vertices: p385(v447) p397(v446) p634(v285) between f6848 and f17823 - r28435 tested simplicialtop vertices: p385(v447) p479(v444) p394(v27) between f6844 and f17823 - r26973 tested simplicialtop vertices: p524(v615) p397(v446) p980(v162) between f13402 and f17823 - r26370 tested simplicialbot vertices: p923(v542) p932(v278) p297(v12) between f17823 and f8590 - r27322 tested simplicialbot vertices: p385(v447) p397(v446) p394(v27) between f17823 and f6847 - r28056 tested simplicialbot vertices: p717(v618) p397(v446) p980(v162) between f17823 and f13498 - r28565 tested simplicialtop vertices: p446(v438) p932(v278) p670(v90) between f6721 and f17823 - r28579 tested simplicialbot vertices: p895(v627) p994(v449) p394(v27) between f17823 and f17196 - r26781 tested simplicialtop vertices: p717(v618) p397(v446) p223(v287) between f13499 and f17823 - r26509 tested simplicialbot vertices: p936(v613) p797(v274) p980(v162) between f17823 and f13386 - r26424 tested simplicialbot vertices: p994(v449) p223(v287) p819(v169) between f17823 and f6866 - r25508 tested simplicialtop vertices: p717(v618) p797(v274) p980(v162) between f13430 and f17823 - r28526 tested simplicialtop vertices: p536(v437) p932(v278) p297(v12) between f6698 and f17823 - r25504 tested simplicialtop vertices: p717(v618) p536(v437) p797(v274) between f13431 and f17823 - r28269 tested simplicialtop vertices: p659(v442) p495(v275) p897(v91) between f6770 and f17823 - r27861 tested simplicialtop vertices: p154(v616) p705(v434) p495(v275) between f13407 and f17823 - r27493 tested simplicialbot vertices: p183(v622) p11(v443) p803(v281) between f17823 and f14716 - r28240 tested simplicialbot vertices: p226(v619) p446(v438) p932(v278) between f17823 and f13504 - r28562 tested simplicialbot vertices: p446(v438) p819(v169) p670(v90) between f17823 and f6728 - r26433 tested simplicialbot vertices: p226(v619) p923(v542) p858(v164) between f17823 and f13503 - r26180 tested simplicialbot vertices: p320(v433) p858(v164) p5(v92) between f17823 and f6576 - r28410 tested simplicialbot vertices: p717(v618) p536(v437) p932(v278) between f17823 and f13428 - r28242 tested simplicialtop vertices: p226(v619) p923(v542) p932(v278) between f13505 and f17823 - r26374 tested simplicialtop vertices: p923(v542) p430(v541) p297(v12) between f8591 and f17823 - r25639 tested simplicialtop vertices: p446(v438) p819(v169) p973(v50) between f6727 and f17823 - r28322 tested simplicialtop vertices: p705(v434) p46(v279) p973(v50) between f6589 and f17823 - r25635 tested simplicialbot vertices: p446(v438) p46(v279) p973(v50) between f17823 and f6723 - r28256 tested simplicialbot vertices: p859(v276) p819(v169) p973(v50) between f17823 and f4164 - r26851 tested simplicialtop vertices: p226(v619) p446(v438) p46(v279) between f13502 and f17823 - r27844 tested simplicialtop vertices: p154(v616) p320(v433) p46(v279) between f13405 and f17823 - r27865 tested simplicialbot vertices: p154(v616) p659(v442) p495(v275) between f17823 and f13410 - r26573 tested simplicialbot vertices: p320(v433) p46(v279) p858(v164) between f17823 and f6578 - r26570 tested simplicialtop vertices: p226(v619) p46(v279) p858(v164) between f13501 and f17823 - r27847 tested simplicialtop vertices: p154(v616) p659(v442) p320(v433) between f13411 and f17823 - r26184 tested simplicialtop vertices: p923(v542) p858(v164) p5(v92) between f8593 and f17823 - r26794 tested simplicialbot vertices: p430(v541) p986(v431) p902(v374) between f17823 and f8563 - r26790 tested simplicialtop vertices: p968(v612) p986(v431) p902(v374) between f13301 and f17823 - r28446 tested simplicialbot vertices: p457(v587) p930(v410) p197(v249) between f17823 and f10928 - r27974 tested simplicialtop vertices: p705(v434) p859(v276) p1000(v163) between f6592 and f17823 - r27992 tested simplicialbot vertices: p705(v434) p495(v275) p1000(v163) between f17823 and f6591 - r27970 tested simplicialbot vertices: p705(v434) p859(v276) p973(v50) between f17823 and f6585 - r28405 tested simplicialtop vertices: p64(v405) p197(v249) p384(v82) between f6171 and f17823 - r28176 tested simplicialbot vertices: p154(v616) p705(v434) p46(v279) between f17823 and f13408 - r28270 tested simplicialtop vertices: p728(v624) p659(v442) p897(v91) between f15939 and f17823 - r28566 tested simplicialbot vertices: p717(v618) p932(v278) p670(v90) between f17823 and f13427 - r28568 tested simplicialtop vertices: p717(v618) p223(v287) p670(v90) between f13426 and f17823 - r28567 tested simplicialtop vertices: p223(v287) p819(v169) p670(v90) between f4292 and f17823 - r26127 tested simplicialbot vertices: p430(v541) p559(v375) p831(v373) between f17823 and f8560 - r26123 tested simplicialbot vertices: p923(v542) p430(v541) p831(v373) between f17823 and f8592 - r28363 tested simplicialbot vertices: p53(v621) p675(v251) p897(v91) between f17823 and f14712 - r26146 tested simplicialtop vertices: p559(v375) p831(v373) p5(v92) between f5651 and f17823 - r26143 tested simplicialbot vertices: p923(v542) p831(v373) p5(v92) between f17823 and f8594 - r28509 tested simplicialbot vertices: p675(v251) p983(v146) p854(v81) between f17823 and f3747 - r26694 tested simplicialtop vertices: p671(v623) p454(v280) p828(v23) between f15936 and f17823 - r28284 tested simplicialtop vertices: p11(v443) p109(v439) p454(v280) between f6792 and f17823 - r27489 tested simplicialbot vertices: p11(v443) p78(v440) p803(v281) between f17823 and f6785 - r28527 tested simplicialtop vertices: p531(v620) p11(v443) p743(v181) between f14701 and f17823 - r26690 tested simplicialtop vertices: p671(v623) p889(v441) p454(v280) between f15937 and f17823 - r27938 tested simplicialtop vertices: p183(v622) p11(v443) p889(v441) between f14717 and f17823 - r27243 tested simplicialbot vertices: p11(v443) p889(v441) p454(v280) between f17823 and f6793 - r28153 tested simplicialbot vertices: p531(v620) p11(v443) p109(v439) between f17823 and f14702 - r28041 tested simplicialbot vertices: p109(v439) p508(v102) p471(v54) between f17823 and f6737 - r25743 tested simplicialtop vertices: p38(v308) p363(v184) p471(v54) between f4560 and f17823 - r28038 tested simplicialbot vertices: p531(v620) p109(v439) p471(v54) between f17823 and f13514 - r28447 tested simplicialbot vertices: p202(v309) p363(v184) p569(v183) between f17823 and f4574 - r27262 tested simplicialbot vertices: p202(v309) p38(v308) p363(v184) between f17823 and f4570 - r25739 tested simplicialtop vertices: p363(v184) p508(v102) p471(v54) between f2561 and f17823 - r27171 tested simplicialtop vertices: p531(v620) p38(v308) p471(v54) between f14699 and f17823 - r28442 tested simplicialtop vertices: p930(v410) p197(v249) p854(v81) between f6269 and f17823 - r27005 tested simplicialtop vertices: p295(v310) p363(v184) p569(v183) between f4579 and f17823 - r28440 tested simplicialbot vertices: p183(v622) p320(v433) p682(v165) between f17823 and f15737 - r25791 tested simplicialbot vertices: p39(v617) p495(v275) p897(v91) between f17823 and f13415 - r26964 tested simplicialtop vertices: p454(v280) p508(v102) p828(v23) between f4226 and f17823 - r26726 tested simplicialbot vertices: p671(v623) p559(v375) p828(v23) between f17823 and f15934 - r27002 tested simplicialbot vertices: p295(v310) p363(v184) p828(v23) between f17823 and f4578 - r25842 tested simplicialbot vertices: p601(v544) p295(v310) p828(v23) between f17823 and f8620 - r25838 tested simplicialtop vertices: p601(v544) p559(v375) p828(v23) between f8621 and f17823 - r28285 tested simplicialtop vertices: p183(v622) p889(v441) p682(v165) between f14714 and f17823 - r28324 tested simplicialbot vertices: p363(v184) p508(v102) p828(v23) between f17823 and f2566 - r26911 tested simplicialbot vertices: p671(v623) p889(v441) p682(v165) between f17823 and f15932 - r26967 tested simplicialbot vertices: p109(v439) p454(v280) p508(v102) between f17823 and f6738 - r26914 tested simplicialtop vertices: p671(v623) p559(v375) p682(v165) between f15931 and f17823 - r28394 tested simplicialbot vertices: p559(v375) p682(v165) p5(v92) between f17823 and f5649 - r28391 tested simplicialtop vertices: p320(v433) p682(v165) p5(v92) between f6577 and f17823 - r26077 tested simplicialtop vertices: p104(v580) p735(v403) p916(v144) between f9590 and f17823 - r28329 tested simplicialtop vertices: p11(v443) p650(v307) p743(v181) between f6783 and f17823 - r27362 tested simplicialtop vertices: p229(v591) p64(v405) p384(v82) between f10965 and f17823 - r27494 tested simplicialbot vertices: p728(v624) p183(v622) p803(v281) between f17823 and f17176 - r26073 tested simplicialtop vertices: p735(v403) p650(v307) p916(v144) between f6138 and f17823 - r27876 tested simplicialtop vertices: p53(v621) p78(v440) p897(v91) between f14713 and f17823 - r27724 tested simplicialbot vertices: p650(v307) p916(v144) p665(v36) between f17823 and f4557 - r28291 tested simplicialtop vertices: p11(v443) p78(v440) p665(v36) between f6784 and f17823 - r28093 tested simplicialbot vertices: p11(v443) p650(v307) p665(v36) between f17823 and f6782 - r28366 tested simplicialtop vertices: p991(v436) p675(v251) p897(v91) between f6667 and f17823 - r28332 tested simplicialbot vertices: p735(v403) p650(v307) p743(v181) between f17823 and f6139 - r27915 tested simplicialbot vertices: p64(v405) p983(v146) p916(v144) between f17823 and f6162 - r27877 tested simplicialbot vertices: p728(v624) p78(v440) p897(v91) between f17823 and f15938 - r27200 tested simplicialbot vertices: p104(v580) p64(v405) p916(v144) between f17823 and f9588 - r26053 tested simplicialtop vertices: p197(v249) p983(v146) p854(v81) between f3711 and f17823 - r28507 tested simplicialtop vertices: p53(v621) p675(v251) p983(v146) between f14710 and f17823 - r28570 tested simplicialtop vertices: p728(v624) p183(v622) p659(v442) between f17177 and f17823 - r26049 tested simplicialbot vertices: p64(v405) p197(v249) p983(v146) between f17823 and f6164 - r27134 tested simplicialtop vertices: p53(v621) p983(v146) p665(v36) between f14707 and f17823 - r27781 tested simplicialtop vertices: p983(v146) p916(v144) p665(v36) between f1963 and f17823 - r27130 tested simplicialbot vertices: p53(v621) p78(v440) p665(v36) between f17823 and f14708 - r27359 tested simplicialtop vertices: p229(v591) p870(v414) p64(v405) between f10966 and f17823 - r27047 tested simplicialtop vertices: p104(v580) p340(v404) p579(v7) between f9597 and f17823 - r27762 tested simplicialbot vertices: p735(v403) p743(v181) p579(v7) between f17823 and f6136 - r28569 tested simplicialbot vertices: p183(v622) p659(v442) p320(v433) between f17823 and f15738 - r27044 tested simplicialbot vertices: p104(v580) p340(v404) p556(v250) between f17823 and f9593 - r27309 tested simplicialbot vertices: p104(v580) p735(v403) p579(v7) between f17823 and f9596 - r26885 tested simplicialbot vertices: p870(v414) p64(v405) p556(v250) between f17823 and f6296 - r26881 tested simplicialtop vertices: p104(v580) p64(v405) p556(v250) between f9589 and f17823 - r25795 tested simplicialtop vertices: p39(v617) p991(v436) p897(v91) between f13413 and f17823 - r28580 tested simplicialtop vertices: p895(v627) p994(v449) p223(v287) between f17197 and f17823 - r28582 tested simplicialbot vertices: p895(v627) p397(v446) p223(v287) between f17823 and f17194 - r28581 tested simplicialtop vertices: p895(v627) p397(v446) p394(v27) between f17193 and f17823 - r30490 tested simplicialtop vertices: p385(v447) p634(v285) p402(v167) between f6842 and f17823 - r30820 tested simplicialtop vertices: p229(v591) p384(v82) p489(v46) between f10968 and f17823 - r30887 tested simplicialtop vertices: p87(v352) p787(v216) p135(v66) between f5287 and f17823 - r30235 tested simplicialtop vertices: p720(v350) p938(v207) p255(v118) between f5241 and f17823 - r28803 tested simplicialbot vertices: p354(v507) p933(v338) p255(v118) between f17823 and f7828 - r30655 tested simplicialbot vertices: p475(v575) p787(v216) p135(v66) between f17823 and f9214 - r30652 tested simplicialtop vertices: p475(v575) p249(v400) p135(v66) between f9215 and f17823 - r30421 tested simplicialtop vertices: p475(v575) p512(v399) p342(v245) between f9210 and f17823 - r30852 tested simplicialtop vertices: p475(v575) p787(v216) p32(v121) between f9206 and f17823 - r30125 tested simplicialbot vertices: p325(v514) p938(v207) p255(v118) between f17823 and f7925 - r30237 tested simplicialbot vertices: p354(v507) p619(v506) p933(v338) between f17823 and f7833 - r30425 tested simplicialbot vertices: p475(v575) p512(v399) p32(v121) between f17823 and f9207 - r30870 tested simplicialbot vertices: p525(v355) p922(v354) p32(v121) between f17823 and f5329 - r31057 tested simplicialbot vertices: p475(v575) p249(v400) p342(v245) between f17823 and f9212 - r30873 tested simplicialbot vertices: p512(v399) p525(v355) p32(v121) between f17823 and f6059 - r29285 tested simplicialbot vertices: p826(v518) p720(v350) p190(v336) between f17823 and f7992 - r31255 tested simplicialtop vertices: p73(v609) p512(v399) p525(v355) between f12174 and f17823 - r30145 tested simplicialbot vertices: p826(v518) p87(v352) p720(v350) between f17823 and f7993 - r31185 tested simplicialtop vertices: p354(v507) p720(v350) p255(v118) between f7830 and f17823 - r30141 tested simplicialtop vertices: p87(v352) p720(v350) p787(v216) between f5291 and f17823 - r30701 tested simplicialbot vertices: p765(v213) p554(v208) p964(v120) between f17823 and f3027 - r30412 tested simplicialtop vertices: p802(v337) p554(v208) p964(v120) between f5025 and f17823 - r30011 tested simplicialbot vertices: p459(v505) p609(v504) p240(v63) between f17823 and f7757 - r28786 tested simplicialbot vertices: p224(v508) p609(v504) p392(v340) between f17823 and f7854 - r29220 tested simplicialbot vertices: p609(v504) p802(v337) p554(v208) between f17823 and f7745 - r31246 tested simplicialbot vertices: p544(v513) p765(v213) p964(v120) between f17823 and f7901 - r31109 tested simplicialbot vertices: p829(v511) p354(v507) p380(v209) between f17823 and f7883 - r28782 tested simplicialtop vertices: p224(v508) p609(v504) p240(v63) between f7843 and f17823 - r30154 tested simplicialtop vertices: p459(v505) p232(v451) p240(v63) between f7754 and f17823 - r29566 tested simplicialtop vertices: p392(v340) p398(v210) p554(v208) between f5078 and f17823 - r31180 tested simplicialtop vertices: p911(v339) p398(v210) p878(v65) between f5057 and f17823 - r31197 tested simplicialtop vertices: p466(v344) p251(v343) p272(v211) between f5125 and f17823 - r29224 tested simplicialtop vertices: p609(v504) p392(v340) p554(v208) between f7746 and f17823 - r30240 tested simplicialtop vertices: p325(v514) p619(v506) p933(v338) between f7923 and f17823 - r31013 tested simplicialtop vertices: p765(v213) p554(v208) p878(v65) between f3026 and f17823 - r30156 tested simplicialbot vertices: p224(v508) p232(v451) p240(v63) between f17823 and f7844 - r31175 tested simplicialbot vertices: p911(v339) p398(v210) p554(v208) between f17823 and f5058 - r31178 tested simplicialbot vertices: p911(v339) p554(v208) p878(v65) between f17823 and f5056 - r30014 tested simplicialtop vertices: p459(v505) p609(v504) p802(v337) between f7758 and f17823 - r30139 tested simplicialtop vertices: p614(v345) p18(v212) p964(v120) between f5136 and f17823 - r30135 tested simplicialbot vertices: p802(v337) p18(v212) p964(v120) between f17823 and f5026 - r30685 tested simplicialtop vertices: p544(v513) p614(v345) p964(v120) between f7902 and f17823 - r31314 tested simplicialbot vertices: p224(v508) p392(v340) p649(v119) between f17823 and f7853 - r30372 tested simplicialbot vertices: p534(v510) p232(v451) p159(v341) between f17823 and f7870 - r30970 tested simplicialtop vertices: p829(v511) p354(v507) p649(v119) between f7882 and f17823 - r30966 tested simplicialtop vertices: p354(v507) p392(v340) p649(v119) between f7839 and f17823 - r31329 tested simplicialtop vertices: p450(v346) p765(v213) p878(v65) between f5170 and f17823 - r29125 tested simplicialtop vertices: p224(v508) p251(v343) p649(v119) between f7846 and f17823 - r30368 tested simplicialtop vertices: p119(v512) p251(v343) p159(v341) between f7895 and f17823 - r30902 tested simplicialtop vertices: p224(v508) p232(v451) p159(v341) between f7845 and f17823 - r29121 tested simplicialbot vertices: p224(v508) p251(v343) p159(v341) between f17823 and f7847 - r30374 tested simplicialtop vertices: p940(v631) p534(v510) p232(v451) between f18365 and f17823 - r30370 tested simplicialbot vertices: p119(v512) p534(v510) p159(v341) between f17823 and f7898 - r30804 tested simplicialbot vertices: p829(v511) p251(v343) p649(v119) between f17823 and f7880 - r29982 tested simplicialbot vertices: p466(v344) p251(v343) p380(v209) between f17823 and f5127 - r29978 tested simplicialtop vertices: p829(v511) p251(v343) p380(v209) between f7881 and f17823 - r29055 tested simplicialbot vertices: p119(v512) p251(v343) p272(v211) between f17823 and f7894 - r29052 tested simplicialtop vertices: p119(v512) p534(v510) p272(v211) between f7897 and f17823 - r30206 tested simplicialbot vertices: p560(v349) p466(v344) p380(v209) between f17823 and f5237 - r30596 tested simplicialtop vertices: p354(v507) p380(v209) p832(v22) between f7831 and f17823 - r29308 tested simplicialbot vertices: p395(v535) p463(v528) p490(v223) between f17823 and f8439 - r29304 tested simplicialtop vertices: p511(v534) p463(v528) p490(v223) between f8413 and f17823 - r28698 tested simplicialtop vertices: p395(v535) p811(v369) p490(v223) between f8429 and f17823 - r28694 tested simplicialtop vertices: p811(v369) p424(v368) p490(v223) between f5580 and f17823 - r30528 tested simplicialtop vertices: p24(v533) p424(v368) p644(v58) between f8401 and f17823 - r28701 tested simplicialtop vertices: p511(v534) p538(v532) p856(v367) between f8414 and f17823 - r30242 tested simplicialbot vertices: p511(v534) p424(v368) p490(v223) between f17823 and f8412 - r28704 tested simplicialbot vertices: p511(v534) p538(v532) p424(v368) between f17823 and f8415 - r30959 tested simplicialbot vertices: p846(v487) p126(v203) p358(v19) between f17823 and f7528 - r30628 tested simplicialbot vertices: p620(v536) p811(v369) p424(v368) between f17823 and f8508 - r30532 tested simplicialtop vertices: p24(v533) p538(v532) p424(v368) between f8403 and f17823 - r31227 tested simplicialbot vertices: p620(v536) p424(v368) p644(v58) between f17823 and f8507 - r30962 tested simplicialtop vertices: p846(v487) p230(v322) p358(v19) between f7525 and f17823 - r29883 tested simplicialbot vertices: p395(v535) p811(v369) p840(v364) between f17823 and f8424 - r29879 tested simplicialtop vertices: p620(v536) p811(v369) p840(v364) between f8499 and f17823 - r30810 tested simplicialtop vertices: p620(v536) p607(v220) p126(v203) between f8501 and f17823 - r31115 tested simplicialtop vertices: p620(v536) p840(v364) p607(v220) between f8498 and f17823 - r31181 tested simplicialtop vertices: p230(v322) p644(v58) p358(v19) between f4757 and f17823 - r30806 tested simplicialbot vertices: p620(v536) p438(v334) p126(v203) between f17823 and f8502 - r28775 tested simplicialbot vertices: p430(v541) p902(v374) p893(v126) between f17823 and f8565 - r30626 tested simplicialtop vertices: p430(v541) p820(v226) p893(v126) between f8564 and f17823 - r29377 tested simplicialtop vertices: p430(v541) p559(v375) p820(v226) between f8559 and f17823 - r31191 tested simplicialbot vertices: p601(v544) p820(v226) p893(v126) between f17823 and f8629 - r28759 tested simplicialbot vertices: p668(v545) p202(v309) p569(v183) between f17823 and f8661 - r30132 tested simplicialbot vertices: p202(v309) p314(v123) p608(v100) between f17823 and f4568 - r28755 tested simplicialtop vertices: p668(v545) p202(v309) p314(v123) between f8664 and f17823 - r30896 tested simplicialtop vertices: p668(v545) p947(v377) p725(v42) between f8653 and f17823 - r31648 tested simplicialtop vertices: p888(v667) p408(v489) p848(v111) between f18712 and f17823 - r31653 tested simplicialtop vertices: p888(v667) p116(v490) p90(v193) between f18715 and f17823 - r29082 tested simplicialtop vertices: p408(v489) p738(v488) p848(v111) between f7554 and f17823 - r31645 tested simplicialtop vertices: p642(v666) p408(v489) p261(v56) between f18702 and f17823 - r30831 tested simplicialtop vertices: p738(v488) p242(v481) p506(v318) between f7539 and f17823 - r28960 tested simplicialbot vertices: p408(v489) p738(v488) p242(v481) between f17823 and f7556 - r31038 tested simplicialtop vertices: p639(v462) p127(v59) p261(v56) between f7052 and f17823 - r31383 tested simplicialtop vertices: p354(v507) p619(v506) p392(v340) between f7840 and f17823 - r29104 tested simplicialtop vertices: p336(v574) p695(v398) p28(v130) between f9182 and f17823 - r30709 tested simplicialbot vertices: p336(v574) p453(v564) p28(v130) between f17823 and f9196 - r31366 tested simplicialtop vertices: p827(v565) p453(v564) p42(v392) between f9043 and f17823 - r30298 tested simplicialbot vertices: p752(v573) p695(v398) p757(v71) between f17823 and f9165 - r29100 tested simplicialbot vertices: p695(v398) p28(v130) p757(v71) between f17823 and f6029 - r30403 tested simplicialtop vertices: p909(v303) p647(v177) p956(v8) between f4514 and f17823 - r31154 tested simplicialbot vertices: p940(v631) p189(v304) p774(v168) between f17823 and f17229 - r30401 tested simplicialtop vertices: p169(v359) p909(v303) p956(v8) between f5404 and f17823 - r30460 tested simplicialbot vertices: p912(v469) p909(v303) p647(v177) between f17823 and f7144 - r31211 tested simplicialtop vertices: p150(v468) p909(v303) p66(v99) between f7133 and f17823 - r30928 tested simplicialbot vertices: p912(v469) p150(v468) p909(v303) between f17823 and f7150 - r31121 tested simplicialbot vertices: p256(v524) p647(v177) p956(v8) between f17823 and f8135 - r31298 tested simplicialbot vertices: p912(v469) p647(v177) p837(v53) between f17823 and f7146 - r31244 tested simplicialtop vertices: p912(v469) p150(v468) p322(v299) between f7149 and f17823 - r29456 tested simplicialtop vertices: p189(v304) p193(v292) p66(v99) between f4535 and f17823 - r31446 tested simplicialbot vertices: p775(v639) p131(v456) p881(v96) between f17823 and f18443 - r31156 tested simplicialbot vertices: p8(v626) p760(v445) p774(v168) between f17823 and f17188 - r31145 tested simplicialtop vertices: p8(v626) p760(v445) p193(v292) between f18383 and f17823 - r31155 tested simplicialtop vertices: p8(v626) p189(v304) p774(v168) between f17187 and f17823 - r26412 tested simplicialbot vertices: p514(v543) p493(v372) p874(v125) between f17823 and f8618 - r27508 tested simplicialbot vertices: p536(v437) p986(v431) p297(v12) between f17823 and f6700 - r26976 tested simplicialbot vertices: p633(v540) p493(v372) p245(v52) between f17823 and f8551 - r26408 tested simplicialtop vertices: p514(v543) p213(v537) p874(v125) between f8619 and f17823 - r25871 tested simplicialbot vertices: p405(v614) p716(v432) p245(v52) between f17823 and f13390 - r26921 tested simplicialtop vertices: p633(v540) p493(v372) p874(v125) between f8549 and f17823 - r31395 tested simplicialbot vertices: p697(v634) p633(v540) p245(v52) between f17823 and f18389 - r27512 tested simplicialtop vertices: p536(v437) p986(v431) p797(v274) between f6701 and f17823 - r28396 tested simplicialbot vertices: p986(v431) p797(v274) p403(v225) between f17823 and f6545 - r27327 tested simplicialtop vertices: p514(v543) p493(v372) p403(v225) between f8615 and f17823 - r27719 tested simplicialbot vertices: p633(v540) p221(v371) p874(v125) between f17823 and f8548 - r31407 tested simplicialbot vertices: p330(v635) p81(v453) p245(v52) between f17823 and f18395 - r29088 tested simplicialtop vertices: p469(v578) p374(v401) p550(v246) between f9578 and f17823 - r28251 tested simplicialbot vertices: p405(v614) p493(v372) p403(v225) between f17823 and f13394 - r26833 tested simplicialtop vertices: p936(v613) p797(v274) p403(v225) between f13381 and f17823 - r26836 tested simplicialtop vertices: p405(v614) p936(v613) p403(v225) between f13395 and f17823 - r28505 tested simplicialtop vertices: p936(v613) p716(v432) p980(v162) between f13387 and f17823 - r25875 tested simplicialtop vertices: p405(v614) p493(v372) p245(v52) between f13389 and f17823 - r28267 tested simplicialbot vertices: p405(v614) p936(v613) p716(v432) between f17823 and f13392 - r27102 tested simplicialtop vertices: p524(v615) p716(v432) p245(v52) between f13398 and f17823 - r31396 tested simplicialtop vertices: p697(v634) p633(v540) p221(v371) between f18390 and f17823 - r30922 tested simplicialtop vertices: p156(v592) p886(v264) p334(v87) between f10976 and f17823 - r31483 tested simplicialbot vertices: p573(v644) p150(v468) p908(v306) between f17823 and f18494 - r30637 tested simplicialbot vertices: p12(v593) p161(v262) p623(v26) between f17823 and f10984 - r31093 tested simplicialbot vertices: p299(v475) p988(v474) p401(v57) between f17823 and f7310 - r30040 tested simplicialbot vertices: p801(v419) p161(v262) p961(v48) between f17823 and f6356 - r30919 tested simplicialbot vertices: p156(v592) p886(v264) p115(v155) between f17823 and f10977 - r29172 tested simplicialtop vertices: p886(v264) p115(v155) p961(v48) between f3946 and f17823 - r29168 tested simplicialbot vertices: p161(v262) p115(v155) p961(v48) between f17823 and f3931 - r29269 tested simplicialbot vertices: p218(v316) p879(v185) p303(v106) between f17823 and f4658 - r31304 tested simplicialtop vertices: p156(v592) p721(v416) p115(v155) between f10971 and f17823 - r29723 tested simplicialtop vertices: p801(v419) p161(v262) p303(v106) between f6364 and f17823 - r29929 tested simplicialbot vertices: p161(v262) p303(v106) p623(v26) between f17823 and f3933 - r31127 tested simplicialtop vertices: p218(v316) p890(v188) p303(v106) between f4659 and f17823 - r29719 tested simplicialbot vertices: p801(v419) p890(v188) p303(v106) between f17823 and f6363 - r29273 tested simplicialbot vertices: p218(v316) p415(v311) p879(v185) between f17823 and f4660 - r31409 tested simplicialbot vertices: p330(v635) p524(v615) p634(v285) between f17823 and f18398 - r30505 tested simplicialbot vertices: p171(v486) p464(v483) p488(v321) between f17823 and f18693 - r31050 tested simplicialtop vertices: p218(v316) p415(v311) p401(v57) between f4664 and f17823 - r29154 tested simplicialbot vertices: p507(v473) p415(v311) p401(v57) between f17823 and f7292 - r31116 tested simplicialbot vertices: p218(v316) p890(v188) p401(v57) between f17823 and f4663 - r29158 tested simplicialbot vertices: p988(v474) p507(v473) p401(v57) between f17823 and f7297 - r31581 tested simplicialbot vertices: p416(v659) p639(v462) p127(v59) between f17823 and f18632 - r31306 tested simplicialtop vertices: p721(v416) p161(v262) p115(v155) between f6321 and f17823 - r31327 tested simplicialtop vertices: p299(v475) p988(v474) p622(v105) between f7312 and f17823 - r29015 tested simplicialtop vertices: p12(v593) p721(v416) p539(v263) between f10982 and f17823 - r29011 tested simplicialbot vertices: p156(v592) p721(v416) p539(v263) between f17823 and f10972 - r30581 tested simplicialbot vertices: p12(v593) p56(v417) p539(v263) between f17823 and f10980 - r28677 tested simplicialtop vertices: p313(v461) p61(v460) p434(v294) between f7040 and f17823 - r31240 tested simplicialbot vertices: p12(v593) p721(v416) p161(v262) between f17823 and f10985 - r30022 tested simplicialbot vertices: p156(v592) p539(v263) p334(v87) between f17823 and f10974 - r30640 tested simplicialtop vertices: p12(v593) p56(v417) p623(v26) between f10979 and f17823 - r31408 tested simplicialtop vertices: p330(v635) p524(v615) p245(v52) between f18397 and f17823 - r31159 tested simplicialtop vertices: p324(v315) p890(v188) p401(v57) between f4643 and f17823 - r30985 tested simplicialbot vertices: p324(v315) p836(v312) p401(v57) between f17823 and f4652 - r30745 tested vertices: p456(v484) p597(v314) p593(v186) between f18686 and f17823 - r29429 tested vertices: p456(v484) p836(v312) p593(v186) between f17823 and f18686 - r29433 tested vertices: p456(v484) p488(v321) p836(v312) between f17823 and f18686 - r31599 tested vertices: p376(v662) p456(v484) p597(v314) between f17823 and f18686 - r29523 tested vertices: p123(v485) p488(v321) p472(v192) between f17823 and f18686 - r29924 tested vertices: p123(v485) p488(v321) p836(v312) between f18686 and f17823 - r29968 tested vertices: p123(v485) p225(v482) p472(v192) between f18686 and f17823 - r29966 tested simplicialtop vertices: p225(v482) p447(v319) p472(v192) between f7449 and f17823 - r31593 tested simplicialtop vertices: p491(v661) p90(v193) p98(v33) between f18647 and f17823 - r31598 tested simplicialtop vertices: p376(v662) p456(v484) p98(v33) between f18653 and f17823 - r30667 tested simplicialtop vertices: p171(v486) p456(v484) p488(v321) between f7509 and f17823 - r29925 tested simplicialtop vertices: p625(v301) p303(v106) p623(v26) between f4464 and f17823 - r31597 tested simplicialtop vertices: p376(v662) p258(v478) p597(v314) between f18657 and f17823 - r30463 tested simplicialtop vertices: p324(v315) p836(v312) p593(v186) between f4653 and f17823 - r29640 tested simplicialtop vertices: p123(v485) p836(v312) p622(v105) between f7495 and f17823 - r31266 tested simplicialtop vertices: p299(v475) p836(v312) p401(v57) between f7309 and f17823 - r29637 tested simplicialbot vertices: p123(v485) p225(v482) p622(v105) between f17823 and f7493 - r29519 tested simplicialtop vertices: p464(v483) p488(v321) p472(v192) between f18695 and f17823 - r31268 tested simplicialbot vertices: p299(v475) p836(v312) p622(v105) between f17823 and f7311 - r31558 tested simplicialtop vertices: p744(v656) p246(v471) p861(v97) between f18604 and f17823 - r29673 tested simplicialbot vertices: p464(v483) p313(v461) p472(v192) between f17823 and f7459 - r28673 tested simplicialtop vertices: p639(v462) p313(v461) p434(v294) between f7049 and f17823 - r31579 tested simplicialbot vertices: p416(v659) p867(v191) p237(v109) between f17823 and f18629 - r30836 tested simplicialbot vertices: p799(v467) p415(v311) p307(v14) between f17823 and f18575 - r31287 tested simplicialtop vertices: p799(v467) p345(v302) p462(v173) between f7127 and f17823 - r30833 tested simplicialtop vertices: p799(v467) p415(v311) p879(v185) between f18570 and f17823 - r31312 tested vertices: p799(v467) p625(v301) p879(v185) between f17823 and f18570 - r29535 tested vertices: p419(v594) p799(v467) p625(v301) between f18570 and f17823 - r29128 tested vertices: p225(v482) p447(v319) p307(v14) between f17823 and f18638 - r30673 tested simplicialtop vertices: p225(v482) p415(v311) p307(v14) between f18638 and f17823 - r29199 tested vertices: p225(v482) p415(v311) p622(v105) between f17823 and f18638 - r30052 tested simplicialtop vertices: p988(v474) p507(v473) p622(v105) between f18640 and f17823 - r29196 tested simplicialtop vertices: p507(v473) p415(v311) p622(v105) between f18636 and f17823 - r29132 tested simplicialtop vertices: p313(v461) p447(v319) p307(v14) between f18543 and f17823 - r29676 tested vertices: p313(v461) p447(v319) p472(v192) between f17823 and f18543 - r31582 tested simplicialtop vertices: p416(v659) p639(v462) p713(v297) between f18633 and f17823 - r30602 tested simplicialbot vertices: p313(v461) p61(v460) p307(v14) between f17823 and f18538 - r30883 tested simplicialtop vertices: p625(v301) p879(v185) p303(v106) between f4466 and f17823 - r30784 tested simplicialtop vertices: p171(v486) p464(v483) p121(v110) between f18691 and f17823 - r30756 tested simplicialbot vertices: p639(v462) p313(v461) p261(v56) between f17823 and f7053 - r31125 tested simplicialtop vertices: p799(v467) p462(v173) p307(v14) between f18517 and f17823 - r31123 tested vertices: p20(v293) p462(v173) p307(v14) between f17823 and f18517 - r29532 tested simplicialbot vertices: p419(v594) p799(v467) p345(v302) between f17823 and f10993 - r30780 tested simplicialtop vertices: p171(v486) p121(v110) p261(v56) between f18688 and f17823 - r30973 tested simplicialbot vertices: p657(v320) p121(v110) p261(v56) between f17823 and f4728 - r30976 tested simplicialtop vertices: p464(v483) p657(v320) p121(v110) between f7456 and f17823 - r31182 tested simplicialtop vertices: p464(v483) p313(v461) p657(v320) between f7460 and f17823 - r31184 tested simplicialbot vertices: p313(v461) p657(v320) p261(v56) between f17823 and f7036 - r29835 tested simplicialtop vertices: p865(v525) p319(v360) p439(v176) between f8150 and f17823 - r30437 tested simplicialbot vertices: p189(v304) p426(v179) p66(v99) between f17823 and f4534 - r29892 tested simplicialbot vertices: p256(v524) p319(v360) p439(v176) between f17823 and f8131 - r28938 tested simplicialbot vertices: p425(v509) p907(v342) p272(v211) between f17823 and f7856 - r29832 tested simplicialbot vertices: p865(v525) p319(v360) p451(v122) between f17823 and f8149 - r29951 tested simplicialbot vertices: p319(v360) p169(v359) p674(v218) between f17823 and f5414 - r31542 tested simplicialtop vertices: p198(v654) p844(v523) p241(v41) between f18585 and f17823 - r30041 tested simplicialbot vertices: p319(v360) p674(v218) p451(v122) between f17823 and f5421 - r28793 tested simplicialtop vertices: p256(v524) p319(v360) p956(v8) between f8130 and f17823 - r29765 tested simplicialbot vertices: p425(v509) p427(v358) p907(v342) between f17823 and f7859 - r28934 tested simplicialtop vertices: p534(v510) p907(v342) p272(v211) between f7869 and f17823 - r28789 tested simplicialtop vertices: p319(v360) p169(v359) p956(v8) between f5413 and f17823 - r29466 tested simplicialbot vertices: p844(v523) p169(v359) p426(v179) between f17823 and f8120 - r28941 tested simplicialtop vertices: p909(v303) p426(v179) p66(v99) between f4517 and f17823 - r31540 tested simplicialbot vertices: p198(v654) p940(v631) p907(v342) between f17823 and f18588 - r31359 tested simplicialtop vertices: p844(v523) p427(v358) p241(v41) between f8127 and f17823 - r29462 tested simplicialtop vertices: p844(v523) p169(v359) p674(v218) between f8124 and f17823 - r29617 tested simplicialtop vertices: p844(v523) p740(v470) p426(v179) between f8122 and f17823 - r31361 tested simplicialbot vertices: p844(v523) p427(v358) p674(v218) between f17823 and f8128 - r30439 tested simplicialtop vertices: p740(v470) p189(v304) p426(v179) between f7155 and f17823 - r31537 tested simplicialbot vertices: p198(v654) p907(v342) p241(v41) between f17823 and f18583 - r31443 tested simplicialbot vertices: p611(v637) p736(v457) p818(v291) between f17823 and f18424 - r29842 tested simplicialtop vertices: p599(v335) p367(v256) p487(v21) between f4991 and f17823 - r30168 tested simplicialtop vertices: p544(v513) p599(v335) p487(v21) between f7911 and f17823 - r31170 tested simplicialbot vertices: p51(v515) p370(v347) p289(v117) between f17823 and f7939 - r29839 tested simplicialbot vertices: p195(v582) p599(v335) p367(v256) between f17823 and f9614 - r29475 tested simplicialbot vertices: p325(v514) p370(v347) p938(v207) between f17823 and f7919 - r30043 tested simplicialtop vertices: p367(v256) p603(v142) p487(v21) between f3806 and f17823 - r30875 tested simplicialtop vertices: p991(v436) p926(v38) p37(v20) between f6668 and f17823 - r30880 tested simplicialbot vertices: p406(v407) p997(v257) p755(v11) between f17823 and f6209 - r28997 tested simplicialbot vertices: p195(v582) p406(v407) p755(v11) between f17823 and f9613 - r30231 tested simplicialbot vertices: p195(v582) p367(v256) p894(v151) between f17823 and f9617 - r29479 tested simplicialtop vertices: p51(v515) p370(v347) p938(v207) between f7936 and f17823 - r30777 tested simplicialbot vertices: p367(v256) p603(v142) p926(v38) between f17823 and f3809 - r31091 tested simplicialtop vertices: p759(v64) p270(v37) p487(v21) between f729 and f17823 - r31077 tested simplicialtop vertices: p603(v142) p759(v64) p487(v21) between f1910 and f17823 - r29412 tested simplicialbot vertices: p459(v505) p144(v289) p136(v95) between f17823 and f7759 - r29001 tested simplicialtop vertices: p195(v582) p599(v335) p755(v11) between f9612 and f17823 - r30025 tested simplicialbot vertices: p386(v450) p144(v289) p887(v51) between f17823 and f6891 - r31160 tested simplicialbot vertices: p373(v583) p195(v582) p894(v151) between f17823 and f9948 - r31200 tested simplicialtop vertices: p367(v256) p894(v151) p854(v81) between f3802 and f17823 - r31202 tested simplicialtop vertices: p367(v256) p854(v81) p926(v38) between f3808 and f17823 - r30282 tested simplicialbot vertices: p544(v513) p761(v204) p289(v117) between f17823 and f7909 - r30749 tested simplicialtop vertices: p253(v585) p979(v409) p761(v204) between f9961 and f17823 - r30499 tested simplicialtop vertices: p253(v585) p51(v515) p756(v206) between f9964 and f17823 - r31139 tested simplicialbot vertices: p370(v347) p450(v346) p765(v213) between f17823 and f5195 - r30278 tested simplicialtop vertices: p544(v513) p120(v348) p289(v117) between f7910 and f17823 - r30826 tested simplicialbot vertices: p544(v513) p120(v348) p765(v213) between f17823 and f7903 - r30571 tested simplicialtop vertices: p120(v348) p370(v347) p289(v117) between f5226 and f17823 - r30877 tested simplicialtop vertices: p979(v409) p997(v257) p755(v11) between f6253 and f17823 - r30107 tested simplicialbot vertices: p979(v409) p761(v204) p755(v11) between f17823 and f6252 - r29685 tested simplicialtop vertices: p599(v335) p761(v204) p755(v11) between f4988 and f17823 - r29688 tested simplicialbot vertices: p544(v513) p599(v335) p761(v204) between f17823 and f7908 - r30219 tested simplicialbot vertices: p688(v171) p57(v170) p136(v95) between f17823 and f2336 - r30752 tested simplicialtop vertices: p253(v585) p761(v204) p289(v117) between f9960 and f17823 - r31336 tested simplicialbot vertices: p619(v506) p392(v340) p398(v210) between f17823 and f7772 - r31260 tested simplicialtop vertices: p51(v515) p190(v336) p756(v206) between f7937 and f17823 - r30829 tested simplicialbot vertices: p120(v348) p370(v347) p765(v213) between f17823 and f5227 - r31284 tested simplicialbot vertices: p253(v585) p979(v409) p997(v257) between f17823 and f9974 - r31333 tested simplicialbot vertices: p810(v435) p759(v64) p270(v37) between f17823 and f6632 - r31220 tested simplicialbot vertices: p149(v629) p819(v169) p291(v94) between f17823 and f17213 - r29114 tested simplicialtop vertices: p859(v276) p819(v169) p291(v94) between f4165 and f17823 - r31016 tested simplicialtop vertices: p149(v629) p502(v288) p291(v94) between f17211 and f17823 - r29985 tested simplicialtop vertices: p39(v617) p1000(v163) p978(v2) between f13421 and f17823 - r29118 tested simplicialtop vertices: p859(v276) p291(v94) p978(v2) between f4159 and f17823 - r31165 tested simplicialbot vertices: p859(v276) p1000(v163) p978(v2) between f17823 and f4160 - r28739 tested simplicialtop vertices: p149(v629) p994(v449) p208(v166) between f17208 and f17823 - r28735 tested simplicialbot vertices: p149(v629) p994(v449) p819(v169) between f17823 and f17214 - r31300 tested simplicialbot vertices: p149(v629) p122(v283) p208(v166) between f17823 and f17207 - r31339 tested simplicialbot vertices: p325(v514) p619(v506) p398(v210) between f17823 and f7918 - r29857 tested simplicialbot vertices: p386(v450) p502(v288) p688(v171) between f17823 and f6894 - r30936 tested simplicialbot vertices: p688(v171) p291(v94) p978(v2) between f17823 and f2334 - r30215 tested simplicialtop vertices: p688(v171) p57(v170) p978(v2) between f2335 and f17823 - r30933 tested simplicialtop vertices: p502(v288) p688(v171) p291(v94) between f4301 and f17823 - r28596 tested simplicialbot vertices: p175(v630) p459(v505) p232(v451) between f17823 and f17227 - r31378 tested simplicialtop vertices: p175(v630) p122(v283) p208(v166) between f17223 and f17823 - r29408 tested simplicialtop vertices: p386(v450) p144(v289) p136(v95) between f6896 and f17823 - r31294 tested simplicialbot vertices: p39(v617) p991(v436) p640(v277) between f17823 and f13418 - r29605 tested simplicialtop vertices: p39(v617) p57(v170) p270(v37) between f13424 and f17823 - r29472 tested simplicialbot vertices: p39(v617) p640(v277) p270(v37) between f17823 and f13425 - r29468 tested simplicialtop vertices: p810(v435) p640(v277) p270(v37) between f6633 and f17823 - r30999 tested simplicialbot vertices: p39(v617) p57(v170) p978(v2) between f17823 and f13422 - r29230 tested simplicialbot vertices: p18(v212) p136(v95) p270(v37) between f17823 and f2993 - r29226 tested simplicialtop vertices: p57(v170) p136(v95) p270(v37) between f2330 and f17823 - r30091 tested simplicialbot vertices: p614(v345) p18(v212) p270(v37) between f17823 and f5131 - r30389 tested simplicialbot vertices: p614(v345) p270(v37) p487(v21) between f17823 and f5130 - r31142 tested simplicialbot vertices: p544(v513) p614(v345) p487(v21) between f17823 and f7912 - r30555 tested simplicialtop vertices: p459(v505) p802(v337) p136(v95) between f7760 and f17823 - r30553 tested simplicialtop vertices: p802(v337) p18(v212) p136(v95) between f5032 and f17823 - r30503 tested simplicialtop vertices: p253(v585) p756(v206) p228(v150) between f9971 and f17823 - r30519 tested simplicialbot vertices: p253(v585) p51(v515) p289(v117) between f17823 and f9963 - r30693 tested simplicialtop vertices: p991(v436) p640(v277) p926(v38) between f6669 and f17823 - r30690 tested simplicialbot vertices: p810(v435) p640(v277) p926(v38) between f17823 and f6636 - r31101 tested simplicialtop vertices: p810(v435) p603(v142) p926(v38) between f6635 and f17823 - r31098 tested simplicialbot vertices: p810(v435) p603(v142) p759(v64) between f17823 and f6634 - r28931 tested simplicialtop vertices: p1(v581) p548(v406) p176(v255) between f9602 and f17823 - r30847 tested simplicialbot vertices: p1(v581) p756(v206) p228(v150) between f17823 and f9605 - r30978 tested simplicialtop vertices: p325(v514) p450(v346) p878(v65) between f7915 and f17823 - r31164 tested simplicialbot vertices: p386(v450) p688(v171) p136(v95) between f17823 and f6895 - r28927 tested simplicialtop vertices: p1(v581) p176(v255) p228(v150) between f9601 and f17823 - r29264 tested simplicialbot vertices: p1(v581) p826(v518) p756(v206) between f17823 and f9607 - r29969 tested simplicialtop vertices: p149(v629) p122(v283) p887(v51) between f17216 and f17823 - r29260 tested simplicialbot vertices: p826(v518) p190(v336) p756(v206) between f17823 and f8004 - r30027 tested simplicialbot vertices: p144(v289) p122(v283) p887(v51) between f17823 and f4329 - r29995 tested simplicialtop vertices: p325(v514) p370(v347) p450(v346) between f7920 and f17823 - r30675 tested simplicialbot vertices: p51(v515) p190(v336) p938(v207) between f17823 and f7935 - r31072 tested simplicialbot vertices: p325(v514) p398(v210) p878(v65) between f17823 and f7914 - r31379 tested simplicialtop vertices: p175(v630) p144(v289) p122(v283) between f17224 and f17823 - r31380 tested simplicialbot vertices: p940(v631) p175(v630) p232(v451) between f17823 and f17231 - r28595 tested simplicialtop vertices: p175(v630) p459(v505) p144(v289) between f17226 and f17823 - r29989 tested simplicialtop vertices: p39(v617) p495(v275) p1000(v163) between f13416 and f17823 - r29331 tested simplicialtop vertices: p386(v450) p502(v288) p887(v51) between f6893 and f17823 - r31646 tested simplicialbot vertices: p642(v666) p408(v489) p127(v59) between f17823 and f18703 - r31655 tested simplicialbot vertices: p888(v667) p116(v490) p76(v323) between f17823 and f18709 - r31664 tested simplicialbot vertices: p65(v669) p262(v526) p553(v10) between f17823 and f18728 - r31665 tested simplicialtop vertices: p65(v669) p564(v497) p553(v10) between f18730 and f17823 - r31673 tested simplicialtop vertices: p323(v670) p739(v363) p783(v124) between f18736 and f17823 - r31668 tested simplicialtop vertices: p323(v670) p80(v527) p725(v42) between f18741 and f17823 - r31671 tested simplicialbot vertices: p323(v670) p80(v527) p783(v124) between f17823 and f18738 ERRONEOUS OTHER FACET: - f18745 - flags: top upperDelaunay newfacet newmerge - merges: 2 - normal: -8.464e-12 6.72e-12 1.064e-11 1 - offset: -0.4992687 - maxoutside: 1.54099e-13 - vertices: p312(v671) p840(v364) p592(v328) p607(v220) p88(v197) p553(v10) - neighboring facets: f17823 f18751 f18746 f18742 f18750 f18748 - ridges: - r31371 nonconvex simplicialtop vertices: p592(v328) p88(v197) p553(v10) between f18745 and f17823 - r29043 nonconvex vertices: p840(v364) p607(v220) p88(v197) between f17823 and f18745 - r30881 nonconvex vertices: p840(v364) p88(v197) p553(v10) between f17823 and f18745 - r31680 simplicialbot vertices: p312(v671) p840(v364) p607(v220) between f18745 and f18751 - r31681 simplicialtop simplicialbot vertices: p312(v671) p592(v328) p553(v10) between f18745 and f18746 - r31682 simplicialtop simplicialbot vertices: p312(v671) p592(v328) p88(v197) between f18742 and f18745 - r31679 simplicialbot vertices: p312(v671) p607(v220) p88(v197) between f18745 and f18750 - r31677 simplicialtop vertices: p312(v671) p840(v364) p553(v10) between f18748 and f18745 While executing: rbox 1000 s W1e-13 P0 t1606200906 | qhull d Qbb Qc Q12 Tv Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549184352 delaunay Qbbound-last Qcoplanar-keep Q12-allow-wide Tverify _pre-merge _zero-centrum Qinterior-keep Pgood _max-width 0.99 Error-roundoff 1e-15 _one-merge 9.1e-15 Visible-distance 6e-15 U-max-coplanar 6e-15 Width-outside 1.2e-14 _wide-facet 3.6e-14 _maxoutside 1e-12 Last point added to hull was p312. Last merge was #12450. At error exit: Delaunay triangulation by the convex hull of 1001 points in 4-d: Number of input sites: 671 Total number of nearly incident points: 330 Number of Delaunay regions: 1336 Statistics for: rbox 1000 s W1e-13 P0 t1606200906 | qhull d Qbb Qc Q12 Tv Number of points processed: 671 Number of hyperplanes created: 17451 Number of facets in hull: 1388 Number of distance tests for qhull: 90010 Number of distance tests for merging: 1598181 Number of distance tests for checking: 0 Number of merged facets: 12655 Maximum distance of point above facet: 1e-12 (99.7x) Maximum distance of vertex below facet: -1.4e-12 (139.8x) precision problems (corrected unless 'Q0' or an error) 151 flipped facets 764 coplanar horizon facets for new vertices 1 dupridges with multiple neighbors 9 dupridges with flip facet into good neighbor 1 dupridges with flip facet into good flip neighbor A wide merge error has occurred. Qhull has produced a wide facet due to facet merges and vertex merges. This usually occurs when the input is nearly degenerate and substantial merging has occurred. See http://www.qhull.org/html/qh-impre.htm#limit rbox 1000 s W1e-13 t | qhull d Q12 Tv QH7089 qhull precision warning: The initial hull is narrow. Is the input lower dimensional (e.g., a square in 3-d instead of a cube)? Cosine of the minimum angle is 1.0000000000000000. If so, Qhull may produce a wide facet. Options 'Qs' (search all points), 'Qbb' (scale last coordinate), or 'QbB' (scale to unit box) may remove this warning. See 'Limitations' in qh-impre.htm. Use 'Pp' to skip this warning. Delaunay triangulation by the convex hull of 1000 points in 4-d: Number of input sites: 814 Total number of deleted points due to merging: 130 Total number of nearly incident points: 56 Number of Delaunay regions: 874 Number of non-simplicial Delaunay regions: 286 Statistics for: rbox 1000 s W1e-13 t1606200907 | qhull d Q12 Tv Number of points processed: 944 Number of hyperplanes created: 10950 Number of facets in hull: 1829 Number of distance tests for qhull: 1440253 Number of distance tests for merging: 3035087 Number of distance tests for checking: 1601863 Number of merged facets: 8148 CPU seconds to compute hull (after input): 0.2458 Maximum distance of point above facet: 4e-13 (39.2x) Maximum distance of vertex below facet: -5.2e-14 (5.1x) Output completed. Verifying that all points are below outer planes of all facets. Will make 874000 distance computations. rbox 1000 s W1e-13 t D2 | qhull d Tv QH7089 qhull precision warning: The initial hull is narrow. Is the input lower dimensional (e.g., a square in 3-d instead of a cube)? Cosine of the minimum angle is 1.0000000000000000. If so, Qhull may produce a wide facet. Options 'Qs' (search all points), 'Qbb' (scale last coordinate), or 'QbB' (scale to unit box) may remove this warning. See 'Limitations' in qh-impre.htm. Use 'Pp' to skip this warning. Delaunay triangulation by the convex hull of 1000 points in 3-d: Number of input sites: 980 Total number of deleted points due to merging: 8 Total number of nearly incident points: 12 Number of Delaunay regions: 729 Number of non-simplicial Delaunay regions: 126 Statistics for: rbox 1000 s W1e-13 D2 t1606200907 | qhull d Tv Number of points processed: 988 Number of hyperplanes created: 3975 Number of facets in hull: 1457 Number of distance tests for qhull: 182183 Number of distance tests for merging: 41708 Number of distance tests for checking: 272540 Number of merged facets: 896 CPU seconds to compute hull (after input): 0.02032 Maximum distance of point above facet: 2.6e-13 (47.5x) Maximum distance of vertex below facet: -1.3e-14 (2.4x) Output completed. Verifying that all points are below outer planes of all facets. Will make 729000 distance computations. set +v === check Qhull without merging Q0 Tue Nov 24 06:55:07 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): 0.02518 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): 0.002114 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): 0.001113 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): 9.7e-05 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): 0.00225 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): 0.001713 precision problems (corrected unless 'Q0' or an error) 49 coplanar half ridges in output 24 concave half ridges in output 53 coplanar horizon facets for new vertices 12 coplanar points during partitioning rbox 100 s D3 | qhull Q0 R0.05 Tc QH6136 qhull precision error: facet f193 is flipped, distance= 0.391655882694 ERRONEOUS FACET: - f193 - flags: top simplicial flipped - normal: -0.2813 -0.9389 0.1981 - offset: 0.2910058 - vertices: p19(v46) p65(v35) p74(v28) - neighboring facets: f183 f194 f195 A flipped facet occurs when its distance to the interior point is greater than or equal to -0.024, the maximum roundoff error. While executing: rbox 100 s D3 | qhull Q0 R0.05 Tc Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549201159 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): 0.000621 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): 0.000618 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): 0.008307 rbox 50 s | qhull Q0 V0.05 W0.01 Tc Po QH7088 Qhull precision warning: in post-processing (qh_check_maxout) p0 for f36 is 0.061 above hidden facet f70 nearest vertices 0.15 QH7088 Qhull precision warning: in post-processing (qh_check_maxout) p8 for f38 is 0.26 above hidden facet f145 nearest vertices 0.14 QH6297 Qhull precision error (qh_check_maxout): large increase in qh.max_outside during post-processing dist 0.26 (46669910714866.6x). See warning QH0032/QH0033. Allow with 'Q12' (allow-wide) and 'Pp' ERRONEOUS FACET: - f145 - flags: top simplicial - normal: -0.6276 0.1677 -0.7602 - offset: -0.2196772 - maxoutside: 0.2588526 - vertices: p2(v43) p0(v13) p24(v6) - neighboring facets: f39 f146 f147 ERRONEOUS and NEIGHBORING FACETS to output While executing: rbox 50 s | qhull Q0 V0.05 W0.01 Tc Po Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549201159 Q0-no-premerge Visible 0.05 W-outside 0.01 Tcheck-frequently Poutput-forced _max-width 0.98 Error-roundoff 6.9e-16 _near-inside 2.4e-14 U-max-coplanar 0.05 _wide-facet 0.3 _maxoutside 0.01 Last point added to hull was p10. At error exit: Convex hull of 50 points in 3-d: Number of vertices: 50 Number of facets: 96 Statistics for: rbox 50 s | qhull Q0 V0.05 W0.01 Tc Po Number of points processed: 50 Number of hyperplanes created: 171 Number of distance tests for qhull: 538 precision problems (corrected unless 'Q0' or an error) 7 flipped facets 82 coplanar horizon facets for new vertices Precision problems were detected during construction of the convex hull. This occurs because convex hull algorithms assume that calculations are exact, but floating-point arithmetic has roundoff errors. To correct for precision problems, do not use 'Q0'. By default, Qhull selects 'C-0' or 'Qx' and merges non-convex facets. With option 'QJ', Qhull joggles the input to prevent precision problems. See "Imprecision in Qhull" (qh-impre.htm). If you use 'Q0', the output may include coplanar ridges, concave ridges, and flipped facets. In 4-d and higher, Qhull may produce a ridge with four neighbors or two facets with the same vertices. Qhull reports these events when they occur. It stops when a concave ridge, flipped facet, or duplicate facet occurs. If you need triangular output: - use option 'Qt' to triangulate the output - use option 'QJ' to joggle the input points and remove precision errors - use option 'Ft'. It triangulates non-simplicial facets with added points. If you must use 'Q0', try one or more of the following options. They can not guarantee an output. - use 'QbB' to scale the input to a cube. - use 'Po' to produce output and prevent partitioning for flipped facets - use 'V0' to set min. distance to visible facet as 0 instead of roundoff - use 'En' to specify a maximum roundoff error less than 6.9e-16. - options 'Qf', 'Qbb', and 'QR0' may also help To guarantee simplicial output: - use option 'Qt' to triangulate the output - use option 'QJ' to joggle the input points and remove precision errors - use option 'Ft' to triangulate the output by adding points - use exact arithmetic (see "Imprecision in Qhull", qh-impre.htm) rbox 100 s D5 | qhull Q0 R1e-2 Tc Po QH6107 qhull topology error: facets f721, f756 and f722 meet at a ridge with more than 2 neighbors. Can not continue due to no qh.PREmerge and no 'Qx' (MERGEexact) ERRONEOUS FACET: - f721 - flags: bottom simplicial newfacet - offset: 0 - vertices: p84(v29) p2(v19) p58(v12) p3(v7) p9(v2) - neighboring facets: f362 f720 f728 f722 f740 ERRONEOUS OTHER FACET: - f756 - flags: top simplicial newfacet - offset: 0 - vertices: p84(v29) p40(v26) p2(v19) p58(v12) p9(v2) - neighboring facets: f566 ERRONEOUS and NEIGHBORING FACETS to output While executing: rbox 100 s D5 | qhull Q0 R1e-2 Tc Po Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549201159 Q0-no-premerge Random-perturb 0.01 Tcheck-frequently Poutput-forced _max-width 0.88 Error-roundoff 0.0045 Visible-distance 0.0045 U-max-coplanar 0.0045 Width-outside 0.009 _wide-facet 0.027 _maxoutside 0.054 Last point added to hull was p84. Convex hull of 100 points in 5-d: Number of vertices: 29 Number of facets: 340 Statistics for: rbox 100 s D5 | qhull Q0 R1e-2 Tc Po Number of points processed: 28 Number of hyperplanes created: 720 Number of distance tests for qhull: 2275 precision problems (corrected unless 'Q0' or an error) 1 flipped facets 24 coplanar horizon facets for new vertices Precision problems were detected during construction of the convex hull. This occurs because convex hull algorithms assume that calculations are exact, but floating-point arithmetic has roundoff errors. To correct for precision problems, do not use 'Q0'. By default, Qhull selects 'C-0' or 'Qx' and merges non-convex facets. With option 'QJ', Qhull joggles the input to prevent precision problems. See "Imprecision in Qhull" (qh-impre.htm). If you use 'Q0', the output may include coplanar ridges, concave ridges, and flipped facets. In 4-d and higher, Qhull may produce a ridge with four neighbors or two facets with the same vertices. Qhull reports these events when they occur. It stops when a concave ridge, flipped facet, or duplicate facet occurs. If you need triangular output: - use option 'Qt' to triangulate the output - use option 'QJ' to joggle the input points and remove precision errors - use option 'Ft'. It triangulates non-simplicial facets with added points. If you must use 'Q0', try one or more of the following options. They can not guarantee an output. - use 'QbB' to scale the input to a cube. - use 'Po' to produce output and prevent partitioning for flipped facets - use 'V0' to set min. distance to visible facet as 0 instead of roundoff - use 'En' to specify a maximum roundoff error less than 0.0045. - options 'Qf', 'Qbb', and 'QR0' may also help To guarantee simplicial output: - use option 'Qt' to triangulate the output - use option 'QJ' to joggle the input points and remove precision errors - use option 'Ft' to triangulate the output by adding points - use exact arithmetic (see "Imprecision in Qhull", qh-impre.htm) set +v === check nearly incident points Tue Nov 24 06:55:07 UTC 2020 rbox L100 2000 D4 s C1,1e-13 t2 | qhull Convex hull of 4000 points in 4-d: Number of vertices: 2097 Number of facets: 13621 Number of non-simplicial facets: 54 Statistics for: rbox L100 2000 D4 s C1,1e-13 t2 | qhull Number of points processed: 2116 Number of hyperplanes created: 51451 Number of distance tests for qhull: 584425 Number of distance tests for merging: 268181 Number of distance tests for checking: 152175 Number of merged facets: 144 CPU seconds to compute hull (after input): 0.07847 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: 2097 Number of facets: 13621 Number of non-simplicial facets: 54 Statistics for: rbox L100 2000 D4 s C1,1e-13 t2 | qhull Q12 Number of points processed: 2116 Number of hyperplanes created: 51451 Number of distance tests for qhull: 584425 Number of distance tests for merging: 268181 Number of distance tests for checking: 152175 Number of merged facets: 144 CPU seconds to compute hull (after input): 0.08031 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 (1136406704192.0x 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: 0.2981 0.386 0.4654 0.7386 - offset: 0.05472007 - 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 - r1063 simplicialtop simplicialbot vertices: p54(v76) p76(v36) p44(v19) between f1143 and f1159 - r1064 simplicialbot vertices: p54(v76) p45(v56) p44(v19) between f1169 and f1143 - r1065 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: -0.3223 0.1164 0.5497 0.7619 - offset: 0.115223 - 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 - r1061 simplicialtop simplicialbot vertices: p54(v76) p44(v19) p92(v11) between f1169 and f1159 - r1062 simplicialtop simplicialbot vertices: p54(v76) p45(v56) p92(v11) between f1170 and f1169 - r1064 simplicialbot vertices: p54(v76) p45(v56) p44(v19) between f1169 and f1143 While executing: rbox 50 C1,1E-13 t1447644703 | qhull d Options selected for Qhull 2020.2.r 2020/08/31: run-id 1549201159 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 #246. 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: 269 Number of non-simplicial Delaunay regions: 74 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: 306 Number of distance tests for qhull: 5200 Number of distance tests for merging: 10615 Number of distance tests for checking: 0 Number of merged facets: 248 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 16 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 (1136406704192.0x 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: 305 Number of non-simplicial Delaunay regions: 132 Statistics for: rbox 50 C1,1E-13 t1447644703 | qhull d Q12 Number of points processed: 99 Number of hyperplanes created: 1516 Number of facets in hull: 343 Number of distance tests for qhull: 7764 Number of distance tests for merging: 18524 Number of distance tests for checking: 7310 Number of merged facets: 463 CPU seconds to compute hull (after input): 0.004407 Maximum distance of point above facet: 1.3e-14 (1.3x) Maximum distance of vertex below facet: -0.0012 (120026881629.6x) 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: 308 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: 1492 Number of facets in hull: 346 Number of distance tests for qhull: 5321 Number of distance tests for merging: 17797 Number of distance tests for checking: 4937 Number of merged facets: 513 CPU seconds to compute hull (after input): 0.0037 Maximum distance of point above facet: 1.3e-14 (1.3x) Maximum distance of vertex below facet: -1.4e-14 (1.4x) set +v ======================================================= === Testing done. Print documentation ======================================================= qhull - qhull -- compute convex hulls and related structures. http://www.qhull.org 2020.2.r 2020/08/31 input (stdin): first lines: dimension and number of points (or vice-versa). other lines: point coordinates, best if one point per line comments: start with a non-numeric character halfspaces: use dim plus one and put offset after coefficients. May be preceded by a single interior point ('H'). options: d - Delaunay triangulation by lifting points to a paraboloid d Qu - furthest-site Delaunay triangulation (upper convex hull) Hn,n,... - halfspace intersection about point [n,n,0,...] Qc - keep coplanar points with nearest facet Qi - keep interior points with nearest facet QJ - joggled input instead of merged facets Qt - triangulated output v - Voronoi diagram (dual of the Delaunay triangulation) v Qu - furthest-site Voronoi diagram Qhull control options: Qa - allow input with fewer or more points than coordinates Qbk:n - scale coord k so that low bound is n QBk:n - scale coord k so that upper bound is n (QBk is 0.5) QbB - scale input to unit cube centered at the origin Qbb - scale last coordinate to [0,m] for Delaunay triangulations Qbk:0Bk:0 - remove k-th coordinate from input QJn - randomly joggle input in range [-n,n] QRn - random rotation (n=seed, n=0 time, n=-1 time/no rotate) Qs - search all points for the initial simplex Qu - for 'd' or 'v', compute upper hull without point at-infinity returns furthest-site Delaunay triangulation QVn - good facet if it includes point n, -n if not Qx - exact pre-merges (skips coplanar and angle-coplanar facets) Qz - add point-at-infinity to Delaunay triangulation Qhull extra options: Qf - partition point to furthest outside facet Qg - only build good facets (needs 'QGn', 'QVn', or 'PdD') QGn - good facet if visible from point n, -n for not visible Qm - only process points that would increase max_outside Qr - process random outside points instead of furthest ones Qv - test vertex neighbors for convexity Qw - allow option warnings Q0 - turn off default premerge with 'C-0'/'Qx' Q1 - merge by mergetype/angle instead of mergetype/distance Q2 - merge all coplanar facets instead of merging independent sets Q3 - do not merge redundant vertices Q4 - avoid old->new merges Q5 - do not correct outer planes at end of qhull Q6 - do not pre-merge concave or coplanar facets Q7 - depth-first processing instead of breadth-first Q8 - do not process near-inside points Q9 - process furthest of furthest points Q10 - no special processing for narrow distributions Q11 - copy normals and recompute centrums for tricoplanar facets Q12 - allow wide facets and wide dupridge Q14 - merge pinched vertices that create a dupridge Q15 - check for duplicate ridges with the same vertices T options: TFn - report summary when n or more facets created TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes Ts - statistics Tv - verify result: structure, convexity, and point inclusion Tz - send all output to stdout Trace options: T4 - trace at level n, 4=all, 5=mem/gauss, -1= events Ta - annotate output with message codes TAn - stop qhull after adding n vertices TCn - stop qhull after building cone for point n TVn - stop qhull after adding point n, -n for before Tc - check frequently during execution Tf - flush each qh_fprintf for debugging segfaults TPn - turn on tracing when point n added to hull TP-1 turn on tracing after qh_buildhull and qh_postmerge TMn - turn on tracing at merge n TWn - trace merge facets when width > n TRn - rerun qhull n times for statistics to adjust 'QJn' Precision options: Cn - radius of centrum (roundoff added). Merge facets if non-convex An - cosine of maximum angle. Merge facets if cosine > n or non-convex C-0 roundoff, A-0.99/C-0.01 pre-merge, A0.99/C0.01 post-merge En - max roundoff error for distance computation Rn - randomly perturb computations by a factor of [1-n,1+n] Vn - min distance above plane for a visible facet (default 3C-n or En) Un - max distance below plane for a new, coplanar point (default Vn) Wn - min facet width for outside point (before roundoff, default 2Vn) Output formats (may be combined; if none, produces a summary to stdout): f - facet dump G - Geomview output (see below) i - vertices incident to each facet m - Mathematica output (2-d and 3-d) n - normals with offsets o - OFF format (dim, points and facets; Voronoi regions) p - vertex coordinates or Voronoi vertices (coplanar points if 'Qc') s - summary (stderr) More formats: Fa - area for each facet FA - compute total area and volume for option 's' Fc - count plus coplanar points for each facet use 'Qc' (default) for coplanar and 'Qi' for interior FC - centrum or Voronoi center for each facet Fd - use cdd format for input (homogeneous with offset first) FD - use cdd format for numeric output (offset first) FF - facet dump without ridges Fi - inner plane for each facet for 'v', separating hyperplanes for bounded Voronoi regions FI - ID of each facet Fm - merge count for each facet (511 max) FM - Maple output (2-d and 3-d) Fn - count plus neighboring facets for each facet FN - count plus neighboring facets for each point Fo - outer plane (or max_outside) for each facet for 'v', separating hyperplanes for unbounded Voronoi regions FO - options and precision constants Fp - dim, count, and intersection coordinates (halfspace only) FP - nearest vertex and distance for each coplanar point FQ - command used for qhull Fs - summary: #int (8), dimension, #points, tot vertices, tot facets, output: #vertices, #facets, #coplanars, #nonsimplicial #real (2), max outer plane, min vertex FS - sizes: #int (0) #real (2) tot area, tot volume Ft - triangulation with centrums for non-simplicial facets (OFF format) Fv - count plus vertices for each facet for 'v', Voronoi diagram as Voronoi vertices for pairs of sites FV - average of vertices (a feasible point for 'H') Fx - extreme points (in order for 2-d) Geomview output (2-d, 3-d, and 4-d; 2-d Voronoi) Ga - all points as dots Gp - coplanar points and vertices as radii Gv - vertices as spheres Gc - centrums GDn - drop dimension n in 3-d and 4-d output Gh - hyperplane intersections Gi - inner planes only Gn - no planes Go - outer planes only Gr - ridges Gt - for 3-d 'd', transparent outer ridges Print options: PAn - keep n largest facets by area Pdk:n - drop facet if normal[k] <= n (default 0.0) PDk:n - drop facet if normal[k] >= n PFn - keep facets whose area is at least n Pg - print good facets (needs 'QGn' or 'QVn') PG - print neighbors of good facets PMn - keep n facets with most merges Po - force output. If error, output neighborhood of facet Pp - do not report precision problems . - list of all options - - one line descriptions of all options -? - help with examples -V - version rbox rbox -- generate various point distributions. Default is random in cube. args (any order, space separated): Version: 2019/11/10 3000 number of random points in cube, lens, spiral, sphere or grid D3 dimension 3-d c add a unit cube to the output ('c G2.0' sets size) d add a unit diamond to the output ('d G2.0' sets size) l generate a regular 3-d spiral r generate a regular polygon, ('r s Z1 G0.1' makes a cone) s generate cospherical points x generate random points in simplex, may use 'r' or 'Wn' y same as 'x', plus simplex Cn,r,m add n nearly adjacent points within radius r of m points Pn,m,r add point [n,m,r] first, pads with 0, maybe repeated Ln lens distribution of radius n. Also 's', 'r', 'G', 'W'. Mn,m,r lattice(Mesh) rotated by [n,-m,0], [m,n,0], [0,0,r], ... '27 M1,0,1' is {0,1,2} x {0,1,2} x {0,1,2}. Try 'M3,4 z'. W0.1 random distribution within 0.1 of the cube's or sphere's surface Z0.5 s random points in a 0.5 disk projected to a sphere Z0.5 s G0.6 same as Z0.5 within a 0.6 gap Bn bounding box coordinates, default 0.5 h output as homogeneous coordinates for cdd n remove command line from the first line of output On offset coordinates by n t use time as the random number seed(default is command line) tn use n as the random number seed z print integer coordinates, default 'Bn' is 1e+06 cat html/qhull.txt html/rbox.txt qhull(1) qhull(1) NAME qhull - convex hull, Delaunay triangulation, Voronoi dia- gram, halfspace intersection about a point, hull volume, facet area SYNOPSIS qhull- compute convex hulls and related structures input (stdin): dimension, #points, point coordinates first comment (non-numeric) is listed in the summary halfspace: use dim plus one with offsets after coefficients options (qh-quick.htm): d - Delaunay triangulation by lifting points to a paraboloid d Qu - furthest-site Delaunay triangulation (upper convex hull) v - Voronoi diagram as the dual of the Delaunay triangulation v Qu - furthest-site Voronoi diagram H1,1 - Halfspace intersection about [1,1,0,...] via polar duality Qt - triangulated output QJ - joggled input instead of merged facets Tv - verify result: structure, convexity, and point inclusion . - concise list of all options - - one-line description of each option -? - this message -V - version Output options (subset): s - summary of results (default) i - vertices incident to each facet n - normals with offsets p - vertex coordinates (if 'Qc', includes coplanar points) if 'v', Voronoi vertices FA - report total area and volume Fp - halfspace intersections FS - total area and volume Fx - extreme points (convex hull vertices) G - Geomview output (2-d, 3-d and 4-d) m - Mathematica output (2-d and 3-d) o - OFF format (if 'v', outputs Voronoi regions) QVn - print facets that include point n, -n if not TI file - input file, may be enclosed in single quotes TO file - output file, may be enclosed in single quotes examples: rbox D4 | qhull Tv rbox 1000 s | qhull Tv s FA rbox 10 D2 | qhull d QJ s i TO result rbox 10 D2 | qhull v Qbb Qt p rbox 10 D2 | qhull d Qu QJ m rbox 10 D2 | qhull v Qu QJ o rbox c d D2 | qhull Qc s f Fx | more rbox c | qhull FV n | qhull H Fp rbox d D12 | qhull QR0 FA rbox c D7 | qhull FA TF1000 rbox y 1000 W0 | qhull Qc rbox c | qhull n - html manual: html/index.htm - installation: README.txt - see also: COPYING.txt, REGISTER.txt, Changes.txt - WWW: - GIT: - news: - Geomview: - news group: - FAQ: - email: qhull@qhull.org - bug reports: qhull_bug@qhull.org Geometry Center 2019/05/03 1 qhull(1) qhull(1) The sections are: - INTRODUCTION - DESCRIPTION, a description of Qhull - IMPRECISION, how Qhull handles imprecision - OPTIONS - Input and output options - Additional input/output formats - Precision options - Geomview options - Print options - Qhull options - Trace options - BUGS - E-MAIL - SEE ALSO - AUTHORS - ACKNOWLEGEMENTS This man page briefly describes all Qhull options. Please report any mismatches with Qhull's html manual (html/index.htm). INTRODUCTION Qhull is a general dimension code for computing convex hulls, Delaunay triangulations, Voronoi diagram, furthest- site Voronoi diagram, furthest-site Delaunay triangula- tions, and halfspace intersections about a point. It implements the Quickhull algorithm for computing the con- vex hull. Qhull handles round-off errors from floating point arithmetic. It can approximate a convex hull. The program includes options for hull volume, facet area, partial hulls, input transformations, randomization, trac- ing, multiple output formats, and execution statistics. The program can be called from within your application. You can view the results in 2-d, 3-d and 4-d with Geomview. DESCRIPTION The format of input is the following: first line contains the dimension, second line contains the number of input points, and point coordinates follow. The dimension and number of points can be reversed. Comments and line breaks are ignored. A comment starts with a non-numeric character and continues to the end of line. The first comment is reported in summaries and statistics. Error reporting is better if there is one point per line. The default printout option is a short summary. There are many other output formats. Geometry Center 2019/05/03 2 qhull(1) qhull(1) Qhull implements the Quickhull algorithm for convex hull. This algorithm combines the 2-d Quickhull algorithm with the n-d beneath-beyond algorithm [c.f., Preparata & Shamos '85]. It is similar to the randomized algorithms of Clarkson and others [Clarkson et al. '93]. The main advantages of Quickhull are output sensitive performance, reduced space requirements, and automatic handling of pre- cision problems. The data structure produced by Qhull consists of vertices, ridges, and facets. A vertex is a point of the input set. A ridge is a set of d vertices and two neighboring facets. For example in 3-d, a ridge is an edge of the polyhedron. A facet is a set of ridges, a set of neighboring facets, a set of incident vertices, and a hyperplane equation. For simplicial facets, the ridges are defined by the vertices and neighboring facets. When Qhull merges two facets, it produces a non-simplicial facet. A non-simplicial facet has more than d neighbors and may share more than one ridge with a neighbor. IMPRECISION Since Qhull uses floating point arithmetic, roundoff error may occur for each calculation. This causes problems for most geometric algorithms. Qhull automatically sets option 'C-0' in 2-d, 3-d, and 4-d, or option 'Qx' in 5-d and higher. These options han- dle precision problems by merging facets. Alternatively, use option 'QJ' to joggle the input. With 'C-0', Qhull merges non-convex facets while con- structing the hull. The remaining facets are clearly con- vex. With 'Qx', Qhull merges coplanar horizon facets, flipped facets, concave facets and duplicated ridges. It merges coplanar facets after constructing the hull. With 'Qx', coplanar points may be missed, but it appears to be unlikely. To guarantee triangular output, joggle the input with option 'QJ'. Facet merging will not occur. OPTIONS To get a list of the most important options, execute 'qhull -?'. To get a complete list of options, execute 'qhull -'. To get a complete, concise list of options, execute 'qhull .'. Options can be in any order. Capitalized options take an argument (except 'PG' and 'F' options). Single letters are used for output formats and precision constants. The other options are grouped into menus: output formats ('F'), Geomview output ('G'), printing ('P'), Qhull control ('Q'), Geometry Center 2019/05/03 3 qhull(1) qhull(1) and tracing ('T'). Main options: default Compute the convex hull of the input points. Report a summary of the result. d Compute the Delaunay triangulation by lifting the input points to a paraboloid. The 'o' option prints the input points and facets. The 'QJ' option guarantees triangular output. The 'Ft' option prints a triangulation. It adds points (the centrums) to non-simplicial facets. v Compute the Voronoi diagram from the Delaunay tri- angulation. The 'p' option prints the Voronoi ver- tices. The 'o' option prints the Voronoi vertices and the vertices in each Voronoi region. It lists regions in site id order. The 'Fv' option prints each ridge of the Voronoi diagram. The first or zero'th vertex indicates the infinity vertex. Its coordinates are qh_INFINITE (-10.101). It indi- cates unbounded Voronoi regions or degenerate Delaunay triangles. Hn,n,... Compute halfspace intersection about [n,n,0,...]. The input is a set of halfspaces defined in the same format as 'n', 'Fo', and 'Fi'. Use 'Fp' to print the intersection points. Use 'Fv' to list the intersection points for each halfspace. The other output formats display the dual convex hull. The point [n,n,n,...] is a feasible point for the halfspaces, i.e., a point that is inside all of the halfspaces (Hx+b <= 0). The default coordinate value is 0. The input may start with a feasible point. If so, use 'H' by itself. The input starts with a feasi- ble point when the first number is the dimension, the second number is "1", and the coordinates com- plete a line. The 'FV' option produces a feasible point for a convex hull. d Qu Compute the furthest-site Delaunay triangulation from the upper convex hull. The 'o' option prints the input points and facets. The 'QJ' option guar- antees triangular otuput. You can also use facets. v Qu Compute the furthest-site Voronoi diagram. The 'p' option prints the Voronoi vertices. The 'o' option prints the Voronoi vertices and the vertices in Geometry Center 2019/05/03 4 qhull(1) qhull(1) each Voronoi region. The 'Fv' option prints each ridge of the Voronoi diagram. The first or zero'th vertex indicates the infinity vertex at infinity. Its coordinates are qh_INFINITE (-10.101). It indicates unbounded Voronoi regions and degenerate Delaunay triangles. Qt Triangulated output. Input/Output options: f Print all facets and all fields of each facet. G Output the hull in Geomview format. For imprecise hulls, Geomview displays the inner and outer hull. Geomview can also display points, ridges, vertices, coplanar points, and facet intersections. See below for a list of options. For Delaunay triangulations, 'G' displays the cor- responding paraboloid. For halfspace intersection, 'G' displays the dual polytope. i Output the incident vertices for each facet. Qhull prints the number of facets followed by the ver- tices of each facet. One facet is printed per line. The numbers are the 0-relative indices of the corresponding input points. The facets are oriented. In 4-d and higher, Qhull triangulates non-simpli- cial facets. Each apex (the first vertex) is a created point that corresponds to the facet's cen- trum. Its index is greater than the indices of the input points. Each base corresponds to a simpli- cial ridge between two facets. To print the ver- tices without triangulation, use option 'Fv'. To print the centrum coordinates, use option 'Ft'. The centrum indices for option 'i' are one more than the centrum indices for option 'Ft'. m Output the hull in Mathematica format. Qhull writes a Mathematica file for 2-d and 3-d convex hulls and for 2-d Delaunay triangulations. Qhull produces a list of objects that you can assign to a variable in Mathematica, for example: "list= << ". 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 Geometry Center 2019/05/03 5 qhull(1) qhull(1) coordinates of the input points and the vertices for each facet. Each facet is on a separate line. The first number is the number of vertices. The remainder are the indices of the corresponding points. The vertices are oriented in 2-d, 3-d, and in simplicial facets. For 2-d Voronoi diagrams, the vertices are sorted by adjacency, but not oriented. In 3-d and higher, the Voronoi vertices are sorted by index. See the 'v' option for more information. p Output the coordinates of each vertex point. Qhull prints the dimension, the number of points, and the coordinates for each vertex. With the 'Gc' and 'Gi' options, it also prints coplanar and interior points. For Voronoi diagrams, it prints the coor- dinates of each Voronoi vertex. s Print a summary to stderr. If no output options are specified, a summary goes to stdout. The summary lists the number of input points, the dimension, the number of vertices in the convex hull, the number of facets in the convex hull, the number of good facets (if 'Pg'), and statistics. The last two statistics (if needed) measure the maximum distance from a point or vertex to a facet. The number in parenthesis (e.g., 2.1x) is the ratio between the maximum distance and the worst-case distance due to merging two simplicial facets. Precision options An Maximum angle given as a cosine. If the angle between a pair of facet normals is greater than n, Qhull merges one of the facets into a neighbor. If 'n' is negative, Qhull tests angles after adding each point to the hull (pre-merging). If 'n' is posi- tive, Qhull tests angles after constructing the hull (post-merging). Both pre- and post-merging can be defined. Option 'C0' or 'C-0' is set if the corresponding 'Cn' or 'C-n' is not set. If 'Qx' is set, then 'A- n' and 'C-n' are checked after the hull is con- structed and before 'An' and 'Cn' are checked. Cn Centrum radius. If a centrum is less than n below a neighboring facet, Qhull merges one of the facets. If 'n' is negative or '-0', Qhull tests and merges facets after adding each point to the hull. This is called "pre-merging". If 'n' is Geometry Center 2019/05/03 6 qhull(1) qhull(1) positive, Qhull tests for convexity after con- structing the hull ("post-merging"). Both pre- and post-merging can be defined. For 5-d and higher, 'Qx' should be used instead of 'C-n'. Otherwise, most or all facets may be merged together. En Maximum roundoff error for distance computations. Rn Randomly perturb distance computations up to +/- n * max_coord. This option perturbs every distance, hyperplane, and angle computation. To use time as the random number seed, use option 'QR-1'. Vn Minimum distance for a facet to be visible. A facet is visible if the distance from the point to the facet is greater than 'Vn'. Without merging, the default value for 'Vn' is the round-off error ('En'). With merging, the default value is the pre-merge centrum ('C-n') in 2-d or 3--d, or three times that in other dimensions. If the outside width is specified ('Wn'), the maximum, default value for 'Vn' is 'Wn'. Un Maximum distance below a facet for a point to be coplanar to the facet. The default value is 'Vn'. Wn Minimum outside width of the hull. Points are added to the convex hull only if they are clearly outside of a facet. A point is outside of a facet if its distance to the facet is greater than 'Wn'. The normal value for 'Wn' is 'En'. If the user specifies pre-merging and does not set 'Wn', than 'Wn' is set to the premerge 'Cn' and maxco- ord*(1-An). Additional input/output formats Fa Print area for each facet. For Delaunay triangula- tions, the area is the area of the triangle. For Voronoi diagrams, the area is the area of the dual facet. Use 'PAn' for printing the n largest facets, and option 'PFn' for printing facets larger than 'n'. The area for non-simplicial facets is the sum of the areas for each ridge to the centrum. Vertices far below the facet's hyperplane are ignored. The reported area may be significantly less than the actual area. Geometry Center 2019/05/03 7 qhull(1) qhull(1) FA Compute the total area and volume for option 's'. It is an approximation for non-simplicial facets (see 'Fa'). Fc Print coplanar points for each facet. The output starts with the number of facets. Then each facet is printed one per line. Each line is the number of coplanar points followed by the point ids. Option 'Qi' includes the interior points. Each coplanar point (interior point) is assigned to the facet it is furthest above (resp., least below). FC Print centrums for each facet. The output starts with the dimension followed by the number of facets. Then each facet centrum is printed, one per line. Fd Read input in cdd format with homogeneous points. The input starts with comments. The first comment is reported in the summary. Data starts after a "begin" line. The next line is the number of points followed by the dimension+1 and "real" or "integer". Then the points are listed with a leading "1" or "1.0". The data ends with an "end" line. For halfspaces ('Fd Hn,n,...'), the input format is the same. Each halfspace starts with its offset. The sign of the offset is the opposite of Qhull's convention. FD Print normals ('n', 'Fo', 'Fi') or points ('p') in cdd format. The first line is the command line that invoked Qhull. Data starts with a "begin" line. The next line is the number of normals or points followed by the dimension+1 and "real". Then the normals or points are listed with the offset before the coefficients. The offset for points is 1.0. The offset for normals has the opposite sign. The data ends with an "end" line. FF Print facets (as in 'f') without printing the ridges. Fi Print inner planes for each facet. The inner plane is below all vertices. Fi Print separating hyperplanes for bounded, inner regions of the Voronoi diagram. The first line is the number of ridges. Then each hyperplane is printed, one per line. A line starts with the num- ber of indices and floats. The first pair lists adjacent input sites, the next d floats are the normalized coefficients for the hyperplane, and the Geometry Center 2019/05/03 8 qhull(1) qhull(1) last float is the offset. The hyperplane is ori- ented toward 'QVn' (if defined), or the first input site of the pair. Use 'Tv' to verify that the hyperplanes are perpendicular bisectors. Use 'Fo' for unbounded regions, and 'Fv' for the corresponding Voronoi vertices. FI Print facet identifiers. Fm Print number of merges for each facet. At most 511 merges are reported for a facet. See 'PMn' for printing the facets with the most merges. FM Output the hull in Maple format. See 'm' Fn Print neighbors for each facet. The output starts with the number of facets. Then each facet is printed one per line. Each line is the number of neighbors followed by an index for each neighbor. The indices match the other facet output formats. A negative index indicates an unprinted facet due to printing only good facets ('Pg'). It is the negation of the facet's id (option 'FI'). For example, negative indices are used for facets "at infinity" in the Delaunay triangulation. FN Print vertex neighbors or coplanar facet for each point. The first line is the number of points. Then each point is printed, one per line. If the point is coplanar, the line is "1" followed by the facet's id. If the point is not a selected vertex, the line is "0". Otherwise, each line is the num- ber of neighbors followed by the corresponding facet indices (see 'Fn'). Fo Print outer planes for each facet in the same for- mat as 'n'. The outer plane is above all points. Fo Print separating hyperplanes for unbounded, outer regions of the Voronoi diagram. The first line is the number of ridges. Then each hyperplane is printed, one per line. A line starts with the num- ber of indices and floats. The first pair lists adjacent input sites, the next d floats are the normalized coefficients for the hyperplane, and the last float is the offset. The hyperplane is ori- ented toward 'QVn' (if defined), or the first input site of the pair. Use 'Tv' to verify that the hyperplanes are perpendicular bisectors. Use 'Fi' for bounded regions, and 'Fv' for the corresponding Voronoi vertices. FO List all options to stderr, including the default values. Additional 'FO's are printed to stdout. Fp Print points for halfspace intersections (option 'Hn,n,...'). Each intersection corresponds to a Geometry Center 2019/05/03 9 qhull(1) qhull(1) facet of the dual polytope. The "infinity" point [-10.101,-10.101,...] indicates an unbounded intersection. FP For each coplanar point ('Qc') print the point id of the nearest vertex, the point id, the facet id, and the distance. FQ Print command used for qhull and input. Fs Print a summary. The first line consists of the number of integers ("7"), followed by the dimen- sion, the number of points, the number of vertices, the number of facets, the number of vertices selected for output, the number of facets selected for output, the number of coplanar points selected for output. The second line consists of the number of reals ("2"), followed by the maxmimum offset to an outer plane and and minimum offset to an inner plane. Roundoff is included. Later versions of Qhull may produce additional integers or reals. FS Print the size of the hull. The first line con- sists of the number of integers ("0"). The second line consists of the number of reals ("2"), fol- lowed by the total facet area, and the total vol- ume. Later versions of Qhull may produce addi- tional integers or reals. The total volume measures the volume of the inter- section of the halfspaces defined by each facet. Both area and volume are approximations for non- simplicial facets. See option 'Fa'. Ft Print a triangulation with added points for non- simplicial facets. The first line is the dimension and the second line is the number of points and the number of facets. The points follow, one per line, then the facets follow as a list of point indices. With option points include the point-at-infinity. Fv Print vertices for each facet. The first line is the number of facets. Then each facet is printed, one per line. Each line is the number of vertices followed by the corresponding point ids. Vertices are listed in the order they were added to the hull (the last one is first). Fv Print all ridges of a Voronoi diagram. The first line is the number of ridges. Then each ridge is printed, one per line. A line starts with the num- ber of indices. The first pair lists adjacent Geometry Center 2019/05/03 10 qhull(1) qhull(1) input sites, the remaining indices list Voronoi vertices. Vertex '0' indicates the vertex-at- infinity (i.e., an unbounded ray). In 3-d, the vertices are listed in order. See 'Fi' and 'Fo' for separating hyperplanes. FV Print average vertex. The average vertex is a fea- sible point for halfspace intersection. Fx List extreme points (vertices) of the convex hull. The first line is the number of points. The other lines give the indices of the corresponding points. The first point is '0'. In 2-d, the points occur in counter-clockwise order; otherwise they occur in input order. For Delaunay triangulations, 'Fx' lists the extreme points of the input sites. The points are unordered. Geomview options G Produce a file for viewing with Geomview. Without other options, Qhull displays edges in 2-d, outer planes in 3-d, and ridges in 4-d. A ridge can be explicit or implicit. An explicit ridge is a dim-1 dimensional simplex between two facets. In 4-d, the explicit ridges are triangles. When displaying a ridge in 4-d, Qhull projects the ridge's vertices to one of its facets' hyperplanes. Use 'Gh' to project ridges to the intersection of both hyper- planes. Ga Display all input points as dots. Gc Display the centrum for each facet in 3-d. The centrum is defined by a green radius sitting on a blue plane. The plane corresponds to the facet's hyperplane. The radius is defined by 'C-n' or 'Cn'. GDn Drop dimension n in 3-d or 4-d. The result is a 2-d or 3-d object. Gh Display hyperplane intersections in 3-d and 4-d. In 3-d, the intersection is a black line. It lies on two neighboring hyperplanes (c.f., the blue squares associated with centrums ('Gc')). In 4-d, the ridges are projected to the intersection of both hyperplanes. Gi Display inner planes in 2-d and 3-d. The inner plane of a facet is below all of its vertices. It is parallel to the facet's hyperplane. The inner plane's color is the opposite (1-r,1-g,1-b) of the Geometry Center 2019/05/03 11 qhull(1) qhull(1) outer plane. Its edges are determined by the ver- tices. Gn Do not display inner or outer planes. By default, Geomview displays the precise plane (no merging) or both inner and output planes (merging). Under merging, Geomview does not display the inner plane if the the difference between inner and outer is too small. Go Display outer planes in 2-d and 3-d. The outer plane of a facet is above all input points. It is parallel to the facet's hyperplane. Its color is determined by the facet's normal, and its edges are determined by the vertices. Gp Display coplanar points and vertices as radii. A radius defines a ball which corresponds to the imprecision of the point. The imprecision is the maximum of the roundoff error, the centrum radius, and maxcoord * (1-An). It is at least 1/20'th of the maximum coordinate, and ignores post-merging if pre-merging is done. Gr Display ridges in 3-d. A ridge connects the two vertices that are shared by neighboring facets. Ridges are always displayed in 4-d. Gt A 3-d Delaunay triangulation looks like a convex hull with interior facets. Option 'Gt' removes the outside ridges to reveal the outermost facets. It automatically sets options 'Gr' and 'GDn'. Gv Display vertices as spheres. The radius of the sphere corresponds to the imprecision of the data. See 'Gp' for determining the radius. Print options PAn Only the n largest facets are marked good for printing. Unless 'PG' is set, 'Pg' is automati- cally set. Pdk:n Drop facet from output if normal[k] <= n. The option 'Pdk' uses the default value of 0 for n. PDk:n Drop facet from output if normal[k] >= n. The option 'PDk' uses the default value of 0 for n. PFn Only facets with area at least 'n' are marked good for printing. Unless 'PG' is set, 'Pg' is automat- ically set. 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 # end of q_test make[1]: Leaving directory '/<>' create-stamp debian/debhelper-build-stamp dh_testroot -a -O--buildsystem=cmake dh_prep -a -O--buildsystem=cmake debian/rules override_dh_auto_install make[1]: Entering directory '/<>' dh_auto_install --buildsystem=cmake cd obj-powerpc64le-linux-gnu && make -j4 install DESTDIR=/<>/debian/tmp AM_UPDATE_INFO_DIR=no "INSTALL=install --strip-program=true" make[2]: Entering directory '/<>/obj-powerpc64le-linux-gnu' /usr/bin/cmake -S/<> -B/<>/obj-powerpc64le-linux-gnu --check-build-system CMakeFiles/Makefile.cmake 0 make -f CMakeFiles/Makefile2 preinstall make[3]: Entering directory '/<>/obj-powerpc64le-linux-gnu' make[3]: Nothing to be done for 'preinstall'. make[3]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' Install the project... /usr/bin/cmake -P cmake_install.cmake -- Install configuration: "None" -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhullcpp.so.8.0.2 -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhullcpp.so.8.0 -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhullcpp.so -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhull_r.so.8.0.2 -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhull_r.so.8.0 -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhull_r.so -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhull.so.8.0.2 -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhull.so.8.0 -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhull.so -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhullcpp.a -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhullstatic.a -- Installing: /<>/debian/tmp/usr/lib/powerpc64le-linux-gnu/libqhullstatic_r.a -- Installing: /<>/debian/tmp/usr/bin/qhull -- Installing: /<>/debian/tmp/usr/bin/rbox -- 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/<>/debian/tmp/usr/include/libqhull/libqhull.h -- Installing: /<>/debian/tmp/usr/include/libqhull/geom.h -- Installing: /<>/debian/tmp/usr/include/libqhull/io.h -- Installing: /<>/debian/tmp/usr/include/libqhull/mem.h -- Installing: /<>/debian/tmp/usr/include/libqhull/merge.h -- Installing: /<>/debian/tmp/usr/include/libqhull/poly.h -- Installing: /<>/debian/tmp/usr/include/libqhull/qhull_a.h -- Installing: /<>/debian/tmp/usr/include/libqhull/qset.h -- Installing: /<>/debian/tmp/usr/include/libqhull/random.h -- Installing: /<>/debian/tmp/usr/include/libqhull/stat.h -- Installing: /<>/debian/tmp/usr/include/libqhull/user.h -- Installing: /<>/debian/tmp/usr/include/libqhull/DEPRECATED.txt -- Installing: /<>/debian/tmp/usr/include/libqhull_r/libqhull_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/geom_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/io_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/mem_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/merge_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/poly_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/qhull_ra.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/qset_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/random_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/stat_r.h -- Installing: /<>/debian/tmp/usr/include/libqhull_r/user_r.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/Coordinates.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/functionObjects.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/PointCoordinates.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/Qhull.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullError.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullFacet.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullFacetList.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullFacetSet.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullHyperplane.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullIterator.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullLinkedList.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullPoint.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullPoints.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullPointSet.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullQh.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullRidge.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullSet.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullSets.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullStat.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullUser.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullVertex.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/QhullVertexSet.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/RboxPoints.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/RoadError.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/RoadLogEvent.h -- Installing: /<>/debian/tmp/usr/include/libqhullcpp/RoadTest.h -- Installing: /<>/debian/tmp/usr/share/man/man1/qhull.1 -- Installing: /<>/debian/tmp/usr/share/man/man1/rbox.1 -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/README.txt -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/REGISTER.txt -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/Announce.txt -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/COPYING.txt -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/index.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qdelaun.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-faq.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull-cpp.xml -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhalf.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optt.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qvoron_f.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-code.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--dt.gif -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qvoronoi.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qdelau_f.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optc.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-impre.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qconvex.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.txt -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optq.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optp.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optg.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--cone.gif -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh_findbestfacet-drielsma.pdf -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/index.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.man -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-quick.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/normal_voronoi_knauss_oesterle.jpg -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-eg.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-opto.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-optf.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--half.gif -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--geom.gif -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh-get.htm -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--rand.gif -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.man -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.txt -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qh--4d.gif -- Installing: /<>/debian/tmp/usr/share/doc/libqhull-dev/qhull/src/Changes.txt make[2]: Leaving directory '/<>/obj-powerpc64le-linux-gnu' make[1]: Leaving directory '/<>' debian/rules execute_after_dh_auto_install make[1]: Entering directory '/<>' No need for extra copy of license rm --verbose debian/tmp/usr/share/doc/libqhull-dev/qhull/COPYING.txt removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/COPYING.txt' No need for doc/ copies of man pages in ../../man/man1/ or for other formats. removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.man' removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/qhull.txt' removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.man' removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/html/rbox.txt' rm --verbose debian/tmp/usr/share/doc/libqhull-dev/qhull/src/Changes.txt removed 'debian/tmp/usr/share/doc/libqhull-dev/qhull/src/Changes.txt' make[1]: Leaving directory '/<>' dh_install -a -O--buildsystem=cmake dh_installdocs -a -O--buildsystem=cmake debian/rules override_dh_installchangelogs make[1]: Entering directory '/<>' dh_installchangelogs src/Changes.txt make[1]: Leaving directory '/<>' dh_installexamples -a -O--buildsystem=cmake dh_installman -a -O--buildsystem=cmake dh_installsystemduser -a -O--buildsystem=cmake dh_perl -a -O--buildsystem=cmake dh_link -a -O--buildsystem=cmake dh_strip_nondeterminism -a -O--buildsystem=cmake debian/rules override_dh_compress make[1]: Entering directory '/<>' dh_compress -X.c -X.h -X.txt make[1]: Leaving directory '/<>' dh_fixperms -a -O--buildsystem=cmake dh_missing -a -O--buildsystem=cmake dh_dwz -a -a -O--buildsystem=cmake dh_strip -a -a -O--buildsystem=cmake dh_makeshlibs -a -a -O--buildsystem=cmake dpkg-gensymbols: error: some symbols or patterns disappeared in the symbols file: see diff output below dpkg-gensymbols: warning: debian/libqhullcpp8.0/DEBIAN/symbols doesn't match completely debian/libqhullcpp8.0.symbols --- debian/libqhullcpp8.0.symbols (libqhullcpp8.0_2020.2-2_ppc64el) +++ dpkg-gensymbols0qSkPJ 2020-11-24 06:55:10.994560002 +0000 @@ -11,12 +11,12 @@ _ZN8orgQhull10QhullFacetC1ERKNS_5QhullEP6facetT@Base 2020.1 _ZN8orgQhull10QhullFacetC2ERKNS_5QhullE@Base 2020.1 _ZN8orgQhull10QhullFacetC2ERKNS_5QhullEP6facetT@Base 2020.1 - _ZN8orgQhull10QhullPointC1EPNS_7QhullQhEPd@Base 2020.2 +#MISSING: 2020.2-2# _ZN8orgQhull10QhullPointC1EPNS_7QhullQhEPd@Base 2020.2 _ZN8orgQhull10QhullPointC1ERKNS_5QhullE@Base 2020.1 _ZN8orgQhull10QhullPointC1ERKNS_5QhullEPd@Base 2020.1 _ZN8orgQhull10QhullPointC1ERKNS_5QhullERNS_11CoordinatesE@Base 2020.1 _ZN8orgQhull10QhullPointC1ERKNS_5QhullEiPd@Base 2020.1 - _ZN8orgQhull10QhullPointC2EPNS_7QhullQhEPd@Base 2020.2 +#MISSING: 2020.2-2# _ZN8orgQhull10QhullPointC2EPNS_7QhullQhEPd@Base 2020.2 _ZN8orgQhull10QhullPointC2ERKNS_5QhullE@Base 2020.1 _ZN8orgQhull10QhullPointC2ERKNS_5QhullEPd@Base 2020.1 _ZN8orgQhull10QhullPointC2ERKNS_5QhullERNS_11CoordinatesE@Base 2020.1 @@ -256,13 +256,13 @@ _ZNK8orgQhull9RoadError18logErrorLastResortEv@Base 2020.1 _ZNK8orgQhull9RoadError4whatEv@Base 2020.1 (optional=templinst)_ZNKSt5ctypeIcE8do_widenEc@Base 2020.1 - (optional=templinst)_ZNSt12_Vector_baseIdSaIdEED1Ev@Base 2020.2 - (optional=templinst)_ZNSt12_Vector_baseIdSaIdEED2Ev@Base 2020.2 - (optional=templinst)_ZNSt12_Vector_baseIiSaIiEED1Ev@Base 2020.2 - (optional=templinst)_ZNSt12_Vector_baseIiSaIiEED2Ev@Base 2020.2 +#MISSING: 2020.2-2# (optional=templinst)_ZNSt12_Vector_baseIdSaIdEED1Ev@Base 2020.2 +#MISSING: 2020.2-2# (optional=templinst)_ZNSt12_Vector_baseIdSaIdEED2Ev@Base 2020.2 +#MISSING: 2020.2-2# (optional=templinst)_ZNSt12_Vector_baseIiSaIiEED1Ev@Base 2020.2 +#MISSING: 2020.2-2# (optional=templinst)_ZNSt12_Vector_baseIiSaIiEED2Ev@Base 2020.2 (optional=templinst)_ZNSt6vectorIN8orgQhull10QhullFacetESaIS1_EE17_M_realloc_insertIJRKS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 (optional=templinst)_ZNSt6vectorIN8orgQhull10QhullPointESaIS1_EE17_M_realloc_insertIJS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 - (optional=templinst)_ZNSt6vectorIN8orgQhull11QhullVertexESaIS1_EE17_M_realloc_insertIJRKS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 +#MISSING: 2020.2-2# (optional=templinst)_ZNSt6vectorIN8orgQhull11QhullVertexESaIS1_EE17_M_realloc_insertIJRKS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 (optional=templinst)_ZNSt6vectorIN8orgQhull11QhullVertexESaIS1_EE17_M_realloc_insertIJS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 (optional=templinst)_ZNSt6vectorIS_IdSaIdEESaIS1_EE17_M_realloc_insertIJRKS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 (optional=templinst)_ZNSt6vectorIS_IiSaIiEESaIS1_EE17_M_realloc_insertIJRKS1_EEEvN9__gnu_cxx17__normal_iteratorIPS1_S3_EEDpOT_@Base 2020.1 dh_makeshlibs: error: failing due to earlier errors make: *** [debian/rules:11: binary-arch] Error 25 dpkg-buildpackage: error: debian/rules binary-arch subprocess returned exit status 2 -------------------------------------------------------------------------------- Build finished at 2020-11-24T06:55:11Z Finished -------- +------------------------------------------------------------------------------+ | Cleanup | +------------------------------------------------------------------------------+ Purging /<> Not removing build depends: as requested E: Build failure (dpkg-buildpackage died) +------------------------------------------------------------------------------+ | Summary | +------------------------------------------------------------------------------+ Build Architecture: ppc64el Build Type: any Build-Space: n/a Build-Time: 73 Distribution: hirsute-proposed Fail-Stage: build Host Architecture: ppc64el Install-Time: 24 Job: qhull_2020.2-2.dsc Machine Architecture: ppc64el Package: qhull Package-Time: 98 Source-Version: 2020.2-2 Space: n/a Status: attempted Version: 2020.2-2 -------------------------------------------------------------------------------- Finished at 2020-11-24T06:55:11Z Build needed 00:01:38, no disk space E: Build failure (dpkg-buildpackage died) RUN: /usr/share/launchpad-buildd/bin/in-target scan-for-processes --backend=chroot --series=hirsute --arch=ppc64el PACKAGEBUILD-20290174 Scanning for processes to kill in build PACKAGEBUILD-20290174