Input buildinfo: https://buildinfos.debian.net/buildinfo-pool/g/gap-float/gap-float_0.9.1+ds-6+b1_amd64.buildinfo Use metasnap for getting required timestamps New buildinfo file: /tmp/gap-float-0.9.1+ds-6+b11yk7oqal/gap-float_0.9.1+ds-6+b1_amd64.buildinfo Get source package info: gap-float=0.9.1+ds-6 Source URL: http://snapshot.notset.fr/mr/package/gap-float/0.9.1+ds-6/srcfiles?fileinfo=1 env -i PATH=/usr/sbin:/usr/bin:/sbin:/bin TMPDIR=/tmp mmdebstrap --arch=amd64 --include=autoconf=2.69-11.1 autoconf-archive=20190106-2.1 automake=1:1.16.3-1 autopoint=0.19.8.1-10 autotools-dev=20180224.1 base-files=11 base-passwd=3.5.48 bash=5.1~rc3-1 binutils=2.35.1-4 binutils-common=2.35.1-4 binutils-x86-64-linux-gnu=2.35.1-4 bsdextrautils=2.36.1-2 bsdutils=1:2.36.1-2 build-essential=12.8 bzip2=1.0.8-4 coreutils=8.32-4+b1 cpp=4:10.2.0-1 cpp-10=10.2.0-23 dash=0.5.11+git20200708+dd9ef66-2 debconf=1.5.74 debhelper=13.3 debianutils=4.11.2 dh-autoreconf=19 dh-strip-nondeterminism=1.9.0-1 diffutils=1:3.7-3 dpkg=1.20.5 dpkg-dev=1.20.5 dwz=0.13+20201015-2 file=1:5.39-3 findutils=4.7.0+git20201010-2 fontconfig-config=2.13.1-4.2 fonts-dejavu-core=2.37-2 fonts-lmodern=2.004.5-6 g++=4:10.2.0-1 g++-10=10.2.0-23 gap=4.11.0-4 gap-core=4.11.0-4 gap-dev=4.11.0-4 gap-gapdoc=1.6.3-1 gap-libs=4.11.0-4 gap-online-help=4.11.0-4 gcc=4:10.2.0-1 gcc-10=10.2.0-23 gcc-10-base=10.2.0-23 gettext=0.19.8.1-10 gettext-base=0.19.8.1-10 grep=3.6-1 groff-base=1.22.4-5 gzip=1.10-2 hostname=3.23 init-system-helpers=1.59 intltool-debian=0.35.0+20060710.5 libacl1=2.2.53-8 libapache-pom-java=18-1 libarchive-zip-perl=1.68-1 libasan6=10.2.0-23 libatomic1=10.2.0-23 libattr1=1:2.4.48-5 libaudit-common=1:2.8.5-3.1 libaudit1=1:2.8.5-3.1 libbinutils=2.35.1-4 libblkid1=2.36.1-2 libbrotli1=1.0.9-2+b2 libbsd0=0.10.0-1 libbz2-1.0=1.0.8-4 libc-bin=2.31-5 libc-dev-bin=2.31-5 libc6=2.31-5 libc6-dev=2.31-5 libcairo2=1.16.0-4 libcap-ng0=0.7.9-2.2+b1 libcc1-0=10.2.0-23 libcom-err2=1.45.6-1 libcommons-logging-java=1.2-2 libcommons-parent-java=43-1 libcroco3=0.6.13-1 libcrypt-dev=1:4.4.17-1 libcrypt1=1:4.4.17-1 libctf-nobfd0=2.35.1-4 libctf0=2.35.1-4 libdb5.3=5.3.28+dfsg1-0.6 libdebconfclient0=0.255 libdebhelper-perl=13.3 libdpkg-perl=1.20.5 libelf1=0.182-1 libexpat1=2.2.10-1 libffi7=3.3-5 libfile-stripnondeterminism-perl=1.9.0-1 libfontbox-java=1:1.8.16-2 libfontconfig1=2.13.1-4.2 libfplll-dev=5.4.0-1 libfplll7=5.4.0-1 libfplll7-data=5.4.0-1 libfreetype6=2.10.2+dfsg-4 libgap-dev=4.11.0-4 libgap7=4.11.0-4 libgcc-10-dev=10.2.0-23 libgcc-s1=10.2.0-23 libgcrypt20=1.8.7-2 libgdbm-compat4=1.18.1-5.1 libgdbm6=1.18.1-5.1 libglib2.0-0=2.66.3-2 libgmp-dev=2:6.2.1+dfsg-1 libgmp10=2:6.2.1+dfsg-1 libgmpxx4ldbl=2:6.2.1+dfsg-1 libgomp1=10.2.0-23 libgpg-error0=1.38-2 libgraphite2-3=1.3.14-1 libgssapi-krb5-2=1.18.3-4 libharfbuzz0b=2.6.7-1 libice6=2:1.0.10-1 libicu67=67.1-5 libisl23=0.23-1 libitm1=10.2.0-23 libk5crypto3=1.18.3-4 libkeyutils1=1.6.1-2 libkpathsea6=2020.20200327.54578-5 libkrb5-3=1.18.3-4 libkrb5support0=1.18.3-4 liblsan0=10.2.0-23 liblz4-1=1.9.2-2 liblzma5=5.2.4-1+b1 libmagic-mgc=1:5.39-3 libmagic1=1:5.39-3 libmount1=2.36.1-2 libmpc-dev=1.2.0-1 libmpc3=1.2.0-1 libmpfi-dev=1.5.3+ds-5 libmpfi-dev-common=1.5.3+ds-5 libmpfi0=1.5.3+ds-5 libmpfr-dev=4.1.0-3 libmpfr6=4.1.0-3 libncursesw6=6.2+20201114-1 libnsl-dev=1.3.0-2 libnsl2=1.3.0-2 libpam-modules=1.3.1-5 libpam-modules-bin=1.3.1-5 libpam-runtime=1.3.1-5 libpam0g=1.3.1-5 libpaper-utils=1.1.28+b1 libpaper1=1.1.28+b1 libpcre2-8-0=10.35-2 libpcre3=2:8.39-13 libpdfbox-java=1:1.8.16-2 libperl5.32=5.32.0-5 libpipeline1=1.5.3-1 libpixman-1-0=0.40.0-1 libpng16-16=1.6.37-3 libptexenc1=2020.20200327.54578-5 libpython3-stdlib=3.9.0-4 libpython3.9-minimal=3.9.1~rc1-2 libpython3.9-stdlib=3.9.1~rc1-2 libquadmath0=10.2.0-23 libreadline8=8.1~rc3-1 libseccomp2=2.5.0-3 libselinux1=3.1-2+b1 libsigsegv2=2.12-2 libsm6=2:1.2.3-1 libsmartcols1=2.36.1-2 libsqlite3-0=3.34.0-1 libssl1.1=1.1.1h-1 libstdc++-10-dev=10.2.0-23 libstdc++6=10.2.0-23 libsub-override-perl=0.09-2 libsynctex2=2020.20200327.54578-5 libsystemd0=247.1-3 libteckit0=2.5.10+ds1-3 libtexlua53=2020.20200327.54578-5 libtexluajit2=2020.20200327.54578-5 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 libtsan0=10.2.0-23 libubsan1=10.2.0-23 libuchardet0=0.0.7-1 libudev1=247.1-3 libunistring2=0.9.10-4 libuuid1=2.36.1-2 libx11-6=2:1.6.12-1 libx11-data=2:1.6.12-1 libxau6=1:1.0.8-1+b2 libxaw7=2:1.0.13-1+b2 libxcb-render0=1.14-2 libxcb-shm0=1.14-2 libxcb1=1.14-2 libxdmcp6=1:1.1.2-3 libxext6=2:1.3.3-1+b2 libxi6=2:1.7.10-1 libxml2=2.9.10+dfsg-6.3+b1 libxmu6=2:1.1.2-2+b3 libxpm4=1:3.5.12-1 libxrender1=1:0.9.10-1 libxt6=1:1.2.0-1 libzstd1=1.4.5+dfsg-4 libzzip-0-13=0.13.62-3.2 linux-libc-dev=5.9.11-1 login=1:4.8.1-1 lsb-base=11.1.0 m4=1.4.18-4 mailcap=3.67 make=4.3-4 man-db=2.9.3-2 mawk=1.3.4.20200120-2 media-types=1.0.1 mime-support=3.66 ncurses-base=6.2+20201114-1 ncurses-bin=6.2+20201114-1 patch=2.7.6-6 perl=5.32.0-5 perl-base=5.32.0-5 perl-modules-5.32=5.32.0-5 po-debconf=1.0.21 preview-latex-style=12.2-1 python3=3.9.0-4 python3-minimal=3.9.0-4 python3.9=3.9.1~rc1-2 python3.9-minimal=3.9.1~rc1-2 readline-common=8.1~rc3-1 sed=4.7-1 sensible-utils=0.0.12+nmu1 sysvinit-utils=2.96-5 t1utils=1.41-4 tar=1.32+dfsg-1 tex-common=6.15 texlive-base=2020.20201203-2 texlive-binaries=2020.20200327.54578-5 texlive-fonts-recommended=2020.20201203-2 texlive-latex-base=2020.20201203-2 texlive-latex-extra=2020.20201129-1 texlive-latex-recommended=2020.20201203-2 texlive-pictures=2020.20201203-2 tzdata=2020d-1 ucf=3.0043 util-linux=2.36.1-2 x11-common=1:7.7+21 xdg-utils=1.1.3-2 xz-utils=5.2.4-1+b1 zlib1g=1:1.2.11.dfsg-2 --variant=apt --aptopt=Acquire::Check-Valid-Until "false" --aptopt=Acquire::http::Dl-Limit "1000"; --aptopt=Acquire::https::Dl-Limit "1000"; --aptopt=Acquire::Retries "5"; --aptopt=APT::Get::allow-downgrades "true"; --keyring=/usr/share/keyrings/ --essential-hook=chroot "$1" sh -c "apt-get --yes install fakeroot util-linux" --essential-hook=copy-in /usr/share/keyrings/debian-archive-bullseye-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-security-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-stable.gpg /usr/share/keyrings/debian-archive-buster-automatic.gpg /usr/share/keyrings/debian-archive-buster-security-automatic.gpg /usr/share/keyrings/debian-archive-buster-stable.gpg /usr/share/keyrings/debian-archive-keyring.gpg /usr/share/keyrings/debian-archive-removed-keys.gpg /usr/share/keyrings/debian-archive-stretch-automatic.gpg /usr/share/keyrings/debian-archive-stretch-security-automatic.gpg /usr/share/keyrings/debian-archive-stretch-stable.gpg /usr/share/keyrings/debian-ports-archive-keyring-removed.gpg /usr/share/keyrings/debian-ports-archive-keyring.gpg /usr/share/keyrings/debian-keyring.gpg /etc/apt/trusted.gpg.d/ --essential-hook=chroot "$1" sh -c "rm /etc/apt/sources.list && echo 'deb http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb-src http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb http://snapshot.notset.fr/archive/debian/20210113T024001Z/ unstable main deb http://snapshot.notset.fr/archive/debian/20201207T144442Z/ unstable main' >> /etc/apt/sources.list && apt-get update" --customize-hook=chroot "$1" useradd --no-create-home -d /nonexistent -p "" builduser -s /bin/bash --customize-hook=chroot "$1" env sh -c "apt-get source --only-source -d gap-float=0.9.1+ds-6 && mkdir -p /build/gap-float-Ka27S8 && dpkg-source --no-check -x /*.dsc /build/gap-float-Ka27S8/gap-float-0.9.1+ds && cd /build/gap-float-Ka27S8/gap-float-0.9.1+ds && { printf '%s' 'gap-float (0.9.1+ds-6+b1) sid; urgency=low, binary-only=yes * Binary-only non-maintainer upload for amd64; no source changes. * Rebuild against libfplll7 -- amd64 / i386 Build Daemon (x86-csail-01) Tue, 08 Dec 2020 06:41:32 +0000 '; cat debian/changelog; } > debian/changelog.debrebuild && mv debian/changelog.debrebuild debian/changelog && chown -R builduser:builduser /build/gap-float-Ka27S8" --customize-hook=chroot "$1" env --unset=TMPDIR runuser builduser -c "cd /build/gap-float-Ka27S8/gap-float-0.9.1+ds && env DEB_BUILD_OPTIONS="parallel=4" LC_ALL="C.UTF-8" SOURCE_DATE_EPOCH="1607409692" dpkg-buildpackage -uc -a amd64 --build=any" --customize-hook=sync-out /build/gap-float-Ka27S8 /tmp/gap-float-0.9.1+ds-6+b11yk7oqal bullseye /dev/null deb http://snapshot.notset.fr/archive/debian/20201207T144442Z unstable main I: automatically chosen mode: root I: chroot architecture amd64 is equal to the host's architecture I: automatically chosen format: tar I: using /tmp/mmdebstrap.cjzUxioACn as tempdir I: running apt-get update... I: downloading packages with apt... I: extracting archives... I: installing essential packages... I: running --essential-hook in shell: sh -c 'chroot "$1" sh -c "apt-get --yes install fakeroot util-linux"' exec /tmp/mmdebstrap.cjzUxioACn Reading package lists... Building dependency tree... util-linux is already the newest version (2.36.1-2). The following NEW packages will be installed: fakeroot libfakeroot 0 upgraded, 2 newly installed, 0 to remove and 0 not upgraded. Need to get 134 kB of archives. After this operation, 397 kB of additional disk space will be used. Get:1 http://snapshot.notset.fr/archive/debian/20201207T144442Z unstable/main amd64 libfakeroot amd64 1.25.3-1.1 [47.0 kB] Get:2 http://snapshot.notset.fr/archive/debian/20201207T144442Z unstable/main amd64 fakeroot amd64 1.25.3-1.1 [87.0 kB] debconf: delaying package configuration, since apt-utils is not installed Fetched 134 kB in 0s (795 kB/s) Selecting previously unselected package libfakeroot:amd64. (Reading database ... (Reading database ... 5% (Reading database ... 10% (Reading database ... 15% (Reading database ... 20% (Reading database ... 25% (Reading database ... 30% (Reading database ... 35% (Reading database ... 40% (Reading database ... 45% (Reading database ... 50% (Reading database ... 55% (Reading database ... 60% (Reading database ... 65% (Reading database ... 70% (Reading database ... 75% (Reading database ... 80% (Reading database ... 85% (Reading database ... 90% (Reading database ... 95% (Reading database ... 100% (Reading database ... 4614 files and directories currently installed.) Preparing to unpack .../libfakeroot_1.25.3-1.1_amd64.deb ... Unpacking libfakeroot:amd64 (1.25.3-1.1) ... Selecting previously unselected package fakeroot. Preparing to unpack .../fakeroot_1.25.3-1.1_amd64.deb ... Unpacking fakeroot (1.25.3-1.1) ... Setting up libfakeroot:amd64 (1.25.3-1.1) ... Setting up fakeroot (1.25.3-1.1) ... update-alternatives: using /usr/bin/fakeroot-sysv to provide /usr/bin/fakeroot (fakeroot) in auto mode Processing triggers for libc-bin (2.31-5) ... I: running special hook: copy-in /usr/share/keyrings/debian-archive-bullseye-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-security-automatic.gpg /usr/share/keyrings/debian-archive-bullseye-stable.gpg /usr/share/keyrings/debian-archive-buster-automatic.gpg /usr/share/keyrings/debian-archive-buster-security-automatic.gpg /usr/share/keyrings/debian-archive-buster-stable.gpg /usr/share/keyrings/debian-archive-keyring.gpg /usr/share/keyrings/debian-archive-removed-keys.gpg /usr/share/keyrings/debian-archive-stretch-automatic.gpg /usr/share/keyrings/debian-archive-stretch-security-automatic.gpg /usr/share/keyrings/debian-archive-stretch-stable.gpg /usr/share/keyrings/debian-ports-archive-keyring-removed.gpg /usr/share/keyrings/debian-ports-archive-keyring.gpg /usr/share/keyrings/debian-keyring.gpg /etc/apt/trusted.gpg.d/ I: running --essential-hook in shell: sh -c 'chroot "$1" sh -c "rm /etc/apt/sources.list && echo 'deb http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb-src http://snapshot.notset.fr/archive/debian/20210814T212851Z/ bookworm main deb http://snapshot.notset.fr/archive/debian/20210113T024001Z/ unstable main deb http://snapshot.notset.fr/archive/debian/20201207T144442Z/ unstable main' >> /etc/apt/sources.list && apt-get update"' exec /tmp/mmdebstrap.cjzUxioACn Get:1 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm InRelease [81.6 kB] Get:2 http://snapshot.notset.fr/archive/debian/20210113T024001Z unstable InRelease [153 kB] Hit:3 http://snapshot.notset.fr/archive/debian/20201207T144442Z unstable InRelease Ign:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources Ign:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages Ign:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources Ign:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages Ign:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources Ign:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages Get:4 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main Sources [11.4 MB] Get:5 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main amd64 Packages [11.1 MB] Ign:6 http://snapshot.notset.fr/archive/debian/20210113T024001Z unstable/main amd64 Packages Ign:6 http://snapshot.notset.fr/archive/debian/20210113T024001Z unstable/main amd64 Packages Ign:6 http://snapshot.notset.fr/archive/debian/20210113T024001Z unstable/main amd64 Packages Get:6 http://snapshot.notset.fr/archive/debian/20210113T024001Z unstable/main amd64 Packages [11.6 MB] Fetched 34.4 MB in 35s (977 kB/s) Reading package lists... I: installing remaining packages inside the chroot... I: running --customize-hook in shell: sh -c 'chroot "$1" useradd --no-create-home -d /nonexistent -p "" builduser -s /bin/bash' exec /tmp/mmdebstrap.cjzUxioACn I: running --customize-hook in shell: sh -c 'chroot "$1" env sh -c "apt-get source --only-source -d gap-float=0.9.1+ds-6 && mkdir -p /build/gap-float-Ka27S8 && dpkg-source --no-check -x /*.dsc /build/gap-float-Ka27S8/gap-float-0.9.1+ds && cd /build/gap-float-Ka27S8/gap-float-0.9.1+ds && { printf '%s' 'gap-float (0.9.1+ds-6+b1) sid; urgency=low, binary-only=yes * Binary-only non-maintainer upload for amd64; no source changes. * Rebuild against libfplll7 -- amd64 / i386 Build Daemon (x86-csail-01) Tue, 08 Dec 2020 06:41:32 +0000 '; cat debian/changelog; } > debian/changelog.debrebuild && mv debian/changelog.debrebuild debian/changelog && chown -R builduser:builduser /build/gap-float-Ka27S8"' exec /tmp/mmdebstrap.cjzUxioACn Reading package lists... NOTICE: 'gap-float' packaging is maintained in the 'Git' version control system at: https://salsa.debian.org/science-team/gap-float.git Please use: git clone https://salsa.debian.org/science-team/gap-float.git to retrieve the latest (possibly unreleased) updates to the package. Need to get 70.0 kB of source archives. Get:1 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main gap-float 0.9.1+ds-6 (dsc) [2930 B] Get:2 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main gap-float 0.9.1+ds-6 (tar) [59.3 kB] Get:3 http://snapshot.notset.fr/archive/debian/20210814T212851Z bookworm/main gap-float 0.9.1+ds-6 (diff) [7760 B] Fetched 70.0 kB in 0s (860 kB/s) Download complete and in download only mode W: Download is performed unsandboxed as root as file 'gap-float_0.9.1+ds-6.dsc' couldn't be accessed by user '_apt'. - pkgAcquire::Run (13: Permission denied) dpkg-source: info: extracting gap-float in /build/gap-float-Ka27S8/gap-float-0.9.1+ds dpkg-source: info: unpacking gap-float_0.9.1+ds.orig.tar.xz dpkg-source: info: unpacking gap-float_0.9.1+ds-6.debian.tar.xz dpkg-source: info: using patch list from debian/patches/series dpkg-source: info: applying upstream-fix-gapdoc-bib.patch dpkg-source: info: applying upstream-autotoolization-cleanup.patch dpkg-source: info: applying upstream-update-m4_ac_find_gap_m4.patch dpkg-source: info: applying debianization.patch dpkg-source: info: applying debianization-documentation.patch I: running --customize-hook in shell: sh -c 'chroot "$1" env --unset=TMPDIR runuser builduser -c "cd /build/gap-float-Ka27S8/gap-float-0.9.1+ds && env DEB_BUILD_OPTIONS="parallel=4" LC_ALL="C.UTF-8" SOURCE_DATE_EPOCH="1607409692" dpkg-buildpackage -uc -a amd64 --build=any"' exec /tmp/mmdebstrap.cjzUxioACn dpkg-buildpackage: info: source package gap-float dpkg-buildpackage: info: source version 0.9.1+ds-6+b1 dpkg-buildpackage: info: source distribution sid dpkg-buildpackage: info: source changed by amd64 / i386 Build Daemon (x86-csail-01) dpkg-source --before-build . dpkg-buildpackage: info: host architecture amd64 debian/rules clean dh clean dh_clean debian/rules binary-arch dh binary-arch dh_update_autotools_config -a dh_autoreconf -a libtoolize: putting auxiliary files in AC_CONFIG_AUX_DIR, 'build-aux'. libtoolize: copying file 'build-aux/ltmain.sh' libtoolize: putting macros in AC_CONFIG_MACRO_DIRS, 'm4'. libtoolize: copying file 'm4/libtool.m4' libtoolize: copying file 'm4/ltoptions.m4' libtoolize: copying file 'm4/ltsugar.m4' libtoolize: copying file 'm4/ltversion.m4' libtoolize: copying file 'm4/lt~obsolete.m4' configure.ac:18: installing 'build-aux/compile' configure.ac:16: installing 'build-aux/config.guess' configure.ac:16: installing 'build-aux/config.sub' configure.ac:17: installing 'build-aux/install-sh' configure.ac:17: installing 'build-aux/missing' src/Makefile.am: installing 'build-aux/depcomp' debian/rules override_dh_auto_configure make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_auto_configure -- \ --with-gaproot=/usr/lib/gap \ --with-mpfr=yes \ --with-mpc=yes \ --with-mpfi=yes \ --with-fplll=yes \ --with-cxsc=no ./configure --build=x86_64-linux-gnu --prefix=/usr --includedir=\${prefix}/include --mandir=\${prefix}/share/man --infodir=\${prefix}/share/info --sysconfdir=/etc --localstatedir=/var --disable-option-checking --disable-silent-rules --libdir=\${prefix}/lib/x86_64-linux-gnu --runstatedir=/run --disable-maintainer-mode --disable-dependency-tracking --with-gaproot=/usr/lib/gap --with-mpfr=yes --with-mpc=yes --with-mpfi=yes --with-fplll=yes --with-cxsc=no checking build system type... x86_64-pc-linux-gnu checking host system type... x86_64-pc-linux-gnu checking target system type... x86_64-pc-linux-gnu checking for a BSD-compatible install... /usr/bin/install -c checking whether build environment is sane... yes checking for a thread-safe mkdir -p... /bin/mkdir -p checking for gawk... no checking for mawk... mawk checking whether make sets $(MAKE)... yes checking whether make supports nested variables... yes checking how to print strings... printf checking whether make supports the include directive... yes (GNU style) checking for gcc... gcc checking whether the C compiler works... yes checking for C compiler default output file name... a.out checking for suffix of executables... checking whether we are cross compiling... no checking for suffix of object files... o checking whether we are using the GNU C compiler... yes checking whether gcc accepts -g... yes checking for gcc option to accept ISO C89... none needed checking whether gcc understands -c and -o together... yes checking dependency style of gcc... none checking for a sed that does not truncate output... /bin/sed checking for grep that handles long lines and -e... /bin/grep checking for egrep... /bin/grep -E checking for fgrep... /bin/grep -F checking for ld used by gcc... /usr/bin/ld checking if the linker (/usr/bin/ld) is GNU ld... yes checking for BSD- or MS-compatible name lister (nm)... /usr/bin/nm -B checking the name lister (/usr/bin/nm -B) interface... BSD nm checking whether ln -s works... yes checking the maximum length of command line arguments... 1572864 checking how to convert x86_64-pc-linux-gnu file names to x86_64-pc-linux-gnu format... func_convert_file_noop checking how to convert x86_64-pc-linux-gnu file names to toolchain format... func_convert_file_noop checking for /usr/bin/ld option to reload object files... -r checking for objdump... objdump checking how to recognize dependent libraries... pass_all checking for dlltool... no checking how to associate runtime and link libraries... printf %s\n checking for ar... ar checking for archiver @FILE support... @ checking for strip... strip checking for ranlib... ranlib checking command to parse /usr/bin/nm -B output from gcc object... ok checking for sysroot... no checking for a working dd... /bin/dd checking how to truncate binary pipes... /bin/dd bs=4096 count=1 checking for mt... no checking if : is a manifest tool... no checking how to run the C preprocessor... gcc -E checking for ANSI C header files... yes checking for sys/types.h... yes checking for sys/stat.h... yes checking for stdlib.h... yes checking for string.h... yes checking for memory.h... yes checking for strings.h... yes checking for inttypes.h... yes checking for stdint.h... yes checking for unistd.h... yes checking for dlfcn.h... yes checking for objdir... .libs checking if gcc supports -fno-rtti -fno-exceptions... no checking for gcc option to produce PIC... -fPIC -DPIC checking if gcc PIC flag -fPIC -DPIC works... yes checking if gcc static flag -static works... yes checking if gcc supports -c -o file.o... yes checking if gcc supports -c -o file.o... (cached) yes checking whether the gcc linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes checking whether -lc should be explicitly linked in... no checking dynamic linker characteristics... GNU/Linux ld.so checking how to hardcode library paths into programs... immediate checking for shl_load... no checking for shl_load in -ldld... no checking for dlopen... no checking for dlopen in -ldl... yes checking whether a program can dlopen itself... yes checking whether a statically linked program can dlopen itself... no checking whether stripping libraries is possible... yes checking if libtool supports shared libraries... yes checking whether to build shared libraries... yes checking whether to build static libraries... no checking for gcc... (cached) gcc checking whether we are using the GNU C compiler... (cached) yes checking whether gcc accepts -g... (cached) yes checking for gcc option to accept ISO C89... (cached) none needed checking whether gcc understands -c and -o together... (cached) yes checking dependency style of gcc... (cached) none checking for g++... g++ checking whether we are using the GNU C++ compiler... yes checking whether g++ accepts -g... yes checking dependency style of g++... none checking how to run the C++ preprocessor... g++ -E checking for ld used by g++... /usr/bin/ld -m elf_x86_64 checking if the linker (/usr/bin/ld -m elf_x86_64) is GNU ld... yes checking whether the g++ linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes checking for g++ option to produce PIC... -fPIC -DPIC checking if g++ PIC flag -fPIC -DPIC works... yes checking if g++ static flag -static works... yes checking if g++ supports -c -o file.o... yes checking if g++ supports -c -o file.o... (cached) yes checking whether the g++ linker (/usr/bin/ld -m elf_x86_64) supports shared libraries... yes checking dynamic linker characteristics... (cached) GNU/Linux ld.so checking how to hardcode library paths into programs... immediate checking for C compiler vendor... gnu checking for ANSI C header files... (cached) yes checking float.h usability... yes checking float.h presence... yes checking for float.h... yes checking for stdlib.h... (cached) yes checking for an ANSI C-conforming const... yes checking for inline... inline checking for CONFIGNAME... none checking for GAP root directory... /usr/lib/gap checking for GAP architecture... x86_64-pc-linux-gnu-default64-kv7 checking for GAP >= 4.9... yes checking for gap... /usr/bin/gap checking for cos in -lm... yes checking mpfr.h usability... yes checking mpfr.h presence... yes checking for mpfr.h... yes checking for mpfr_sqrt in -lmpfr... yes checking for mpfi.h... yes checking for mpfi_sqrt in -lmpfi... yes checking for mpc.h... yes checking for mpc_sqrt in -lmpc... yes checking for fplll.h... yes checking for lllReduction in -fplll (version 4.x)... no checking whether g++ supports C++11 features with -std=c++11... yes checking for fplll.h... yes checking for lllReduction in -fplll (version 5.x)... yes checking that generated files are newer than configure... done configure: creating ./config.status config.status: creating Makefile config.status: creating src/Makefile config.status: creating lib/Makefile config.status: creating tst/Makefile config.status: creating src/floatconfig.h config.status: executing depfiles commands config.status: executing libtool commands make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_auto_build -a make -j4 make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' Making all in src make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' make all-am make[3]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' /bin/bash ../libtool --tag=CC --mode=compile gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c -o float_la-float.lo `test -f 'float.c' || echo './'`float.c /bin/bash ../libtool --tag=CC --mode=compile gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c -o float_la-mpfr.lo `test -f 'mpfr.c' || echo './'`mpfr.c /bin/bash ../libtool --tag=CC --mode=compile gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c -o float_la-mpc.lo `test -f 'mpc.c' || echo './'`mpc.c /bin/bash ../libtool --tag=CXX --mode=compile g++ -std=c++11 -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c -o float_la-mp_poly.lo `test -f 'mp_poly.C' || echo './'`mp_poly.C libtool: compile: gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c mpfr.c -fPIC -DPIC -o .libs/float_la-mpfr.o libtool: compile: g++ -std=c++11 -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c mp_poly.C -fPIC -DPIC -o .libs/float_la-mp_poly.o libtool: compile: gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c mpc.c -fPIC -DPIC -o .libs/float_la-mpc.o libtool: compile: gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c float.c -fPIC -DPIC -o .libs/float_la-float.o /bin/bash ../libtool --tag=CC --mode=compile gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c -o float_la-mpfi.lo `test -f 'mpfi.c' || echo './'`mpfi.c libtool: compile: gcc -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -Wall -O2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c mpfi.c -fPIC -DPIC -o .libs/float_la-mpfi.o mpc.c: In function ‘OBJBYEXTREP_MPC’: mpc.c:268:7: warning: ‘zarg’ may be used uninitialized in this function [-Wmaybe-uninitialized] 268 | mpfr_set_z(reim, zarg, GMP_RNDN); | ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ /bin/bash ../libtool --tag=CXX --mode=compile g++ -std=c++11 -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c -o float_la-fplll.lo `test -f 'fplll.C' || echo './'`fplll.C libtool: compile: g++ -std=c++11 -DHAVE_CONFIG_H -I. -I/usr/include/gap -DHAVE_CONFIG_H -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -c fplll.C -fPIC -DPIC -o .libs/float_la-fplll.o In file included from /usr/include/gap/src/gasman.h:39, from /usr/include/gap/src/objects.h:20, from /usr/include/gap/src/ariths.h:16, from /usr/include/gap/src/gap_all.h:21, from /usr/include/gap/src/compiled.h:21, from fplll.C:26: /usr/include/gap/src/system.h:208:32: warning: option ‘-Wstrict-prototypes’ is valid for C/ObjC but not for C++ [-Wpragmas] 208 | #pragma GCC diagnostic ignored "-Wstrict-prototypes" | ^~~~~~~~~~~~~~~~~~~~~ mpfi.c: In function ‘EXTREPOFOBJ_MPFI’: mpfi.c:156:5: warning: ‘e’ may be used uninitialized in this function [-Wmaybe-uninitialized] 156 | SET_ELM_PLIST(l,2*i+2, ObjInt_Int(e)); | ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ mpfi.c: In function ‘OBJBYEXTREP_MPFI’: mpfi.c:210:7: warning: ‘zarg’ may be used uninitialized in this function [-Wmaybe-uninitialized] 210 | mpfr_set_z(leftright, zarg, GMP_RNDN); | ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ /bin/bash ../libtool --tag=CXX --mode=link g++ -std=c++11 -g -O2 -fdebug-prefix-map=/build/gap-float-Ka27S8/gap-float-0.9.1+ds=. -fstack-protector-strong -Wformat -Werror=format-security -Wl,-z,relro -avoid-version -module -Wl,--version-script,../debian/float.map -Wl,-z,relro -o float.la -rpath /usr/lib/x86_64-linux-gnu/gap/pkg/float/bin float_la-float.lo float_la-mpfr.lo float_la-mpc.lo float_la-mp_poly.lo float_la-mpfi.lo float_la-fplll.lo -lmpfr -lmpc -lmpfi -lfplll libtool: link: g++ -fPIC -DPIC -shared -nostdlib /usr/lib/gcc/x86_64-linux-gnu/10/../../../x86_64-linux-gnu/crti.o /usr/lib/gcc/x86_64-linux-gnu/10/crtbeginS.o .libs/float_la-float.o .libs/float_la-mpfr.o .libs/float_la-mpc.o .libs/float_la-mp_poly.o .libs/float_la-mpfi.o .libs/float_la-fplll.o -lmpfr -lmpc -lmpfi -lfplll -L/usr/lib/gcc/x86_64-linux-gnu/10 -L/usr/lib/gcc/x86_64-linux-gnu/10/../../../x86_64-linux-gnu -L/usr/lib/gcc/x86_64-linux-gnu/10/../../../../lib -L/lib/x86_64-linux-gnu -L/lib/../lib -L/usr/lib/x86_64-linux-gnu -L/usr/lib/../lib -L/usr/lib/gcc/x86_64-linux-gnu/10/../../.. -lstdc++ -lm -lc -lgcc_s /usr/lib/gcc/x86_64-linux-gnu/10/crtendS.o /usr/lib/gcc/x86_64-linux-gnu/10/../../../x86_64-linux-gnu/crtn.o -g -O2 -fstack-protector-strong -Wl,-z -Wl,relro -Wl,--version-script -Wl,../debian/float.map -Wl,-z -Wl,relro -Wl,-soname -Wl,float.so -o .libs/float.so libtool: link: ( cd ".libs" && rm -f "float.la" && ln -s "../float.la" "float.la" ) make[3]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' Making all in lib make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' make[2]: Nothing to be done for 'all'. make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' Making all in tst make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[2]: Nothing to be done for 'all'. make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[2]: Nothing to be done for 'all-am'. make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_auto_test -a make -j4 check VERBOSE=1 make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' Making check in src make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' Making check in lib make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' make[2]: Nothing to be done for 'check'. make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' Making check in tst make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[2]: Nothing to be done for 'check'. make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[2]: Nothing to be done for 'check-am'. make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' create-stamp debian/debhelper-build-stamp debian/rules override_dh_prep make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' cat makedoc.g | /usr/bin/gap -A -q -T true #I Composing XML document . . . #I Parsing XML document . . . #I Checking XML structure . . . #I Text version (also produces labels for hyperlinks): #I First run, collecting cross references, index, toc, bib and so on . . . #I Table of contents complete. #I Producing the index . . . #I Reading bibliography data files . . . #I BibTeX format: float #I checking and translating to BibXMLext . . . #I Writing bibliography . . . #I Second run through document . . . #I Producing simplified search strings and labels for hyperlinks . . . #I Constructing LaTeX version and calling pdflatex: #I Writing LaTeX file, 4 x pdflatex with bibtex and makeindex, #I Writing manual.six file ... #I Finally the HTML version . . . #I First run, collecting cross references, index, toc, bib and so on . . . #I Table of contents complete. #I Producing the index . . . #I Writing bibliography . . . #I Second run through document . . . rec( Name := "FLOAT", attributes := rec( ), bibdata := "float", bibentries := [ ], bibkeys := [ "MR1836930" ], biblabels := [ "BB01" ], bibpath := dir("doc/"), bibstrings := [ [ 0, 0 ] ], bibtext := "\n

\n

\n[BB01] Bailey, D. \ H. and Broadhurst, D. J.,\n Parallel integer relatio\ n detection: techniques and\n applications,\n Math. Comp.,\n 70 (236)\n (2001),\n 1719--1736 (electronic).\n

\n\n", bookname := "FLOAT", chapsectlinks := rec( 1 := "
\ 1 Licensing\n
\n", 2 := "
\ 2 Float package\n
 2.1 A sample run\n\n
\n
\n", 3 := "
\ 3 Polynomials\n
 3.1 The Floats pseudo-field\n\n
\n
 3.2 Roots of polynomials\n\n
\n
 3.3 Finding integer\ relations\n\n
\n
  3.3-1 PSLQ\n
\n
<\ span class=\"tocline\"> 3.4 LLL lattice reduction<\ /a>\n\n
\n
\n", 4 := "
\ 4 Implemented packages\n
 4.1 MPFR\n\n
\n
  4.1-1 IsMPFRF\ loat\n
\n
 4\ .2 MPFI\n\n
\n
  4.2-1 IsMPFIFloat\n
\n
&nbs\ p;4.3 \ MPC\n\n
\n<\ br />  4.3-1 IsMPCFloat\n
\n
 4.4 CXSC\n\n\n
&n\ bsp; 4.4-1 IsCXSCReal\ \n
\n
 4.5 FPLLL\n\n
\n
  4.5-1 FPLLLReducedBasis\n
  4.5-2 FPLLLShortestVector\n
\n\n" ), chapsectlinkstext := rec( 1 := "
\ 1 Licensing\n
\n", 2 := "
\ 2 Float package\n
 2.1 A sample run\n\n
\n
\n", 3 := "
\ 3 Polynomials\n
 3.1 The Floats pseudo-field\n\n
\n
 3.2 Roots of polynomials\n\n
\n
 3.3 Finding integer\ relations\n\n
\n
  3.3-1 PSLQ\n
\n
<\ span class=\"tocline\"> 3.4 LLL lattice reduction<\ /a>\n\n
\n
\n", 4 := "
\ 4 Implemented packages\n
 4.1 MPFR\n\n
\n
  4.1-1 IsMPFRF\ loat\n
\n
 4\ .2 MPFI\n\n
\n
  4.2-1 IsMPFIFloat\n
\n
&nbs\ p;4.3 \ MPC\n\n
\n<\ br />  4.3-1 IsMPCFloat\n
\n
 4.4 CXSC\n\n\n
&n\ bsp; 4.4-1 IsCXSCReal\ \n
\n
 4.5 FPLLL\n\n
\n
  4.5-1 FPLLLReducedBasis\n
  4.5-2 FPLLLShortestVector\n
\n\n" ), chaptitle := rec( 1 := "Licensing", 2 := "Float package", 3 := "Polynomials", 4 := "Implemented packages" ), content := [ rec( content := "xml version=\"1.0\" encoding=\"UTF-8\"", count := [ 0, 0, 0, 1 ], name := "XMLPI", root := ~ ), rec( content := "Book SYSTEM \"gapdoc.dtd\" [\n $\\to$--&tgt;'>\n \n\n\n]", count := [ 0, 0, 0, 1 ], name := "XMLDOCTYPE", root := ~ ), rec( attributes := rec( Name := "FLOAT" ), content := [ rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "Floating-point numbers", count := [ 0, 0, 0, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 1 ], name := "Title", next := 286, root := ~, start := 249, stop := 285 ), rec( attributes := rec( ), content := [ rec( content := "Version 0.9.1", count := [ 0, 0, 0, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 1 ], name := "Version", next := 325, root := ~, start := 289, stop := 324 ), rec( attributes := rec( ), content := [ rec( content := "\n MPFR- and CXSC-based librar\ y for GAP\n ", count := [ 0, 0, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 2 ], name := "TitleComment", next := 401, root := ~, start := 328, stop := 400 ), rec( attributes := rec( ), content := [ rec( content := "Laurent Bartholdi\n ", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Only := "HTML" ), content := [ rec( HTML := true, content := "laurent.barthold\ i@gmail.com", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "Alt", next := 497, root := ~, start := 447, stop := 496 ), rec( content := "\n\t\t ", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Not := "HTML" ), content := [ rec( content := "laurent.bartholdi\ @gmail.com", count := [ 0, 0, 0, 3 ], name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "Alt", next := 550, root := ~, start := 501, stop := 549 ) ], count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "Email", next := 558, root := ~, start := 440, stop := 557 ), rec( content := " \n\t ", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "http://www.uni-math.gwdg.\ de/laurent/", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "Homepage", next := 620, root := ~, start := 563, stop := 619 ), rec( content := "\n ", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 3 ], name := "Author", next := 632, root := ~, start := 404, stop := 631 ), rec( attributes := rec( ), content := [ rec( content := "14/06/2018", count := [ 0, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 3 ], name := "Date", next := 654, root := ~, start := 635, stop := 653 ), rec( attributes := rec( ), content := [ rec( content := "\n Mathematisches Institut", count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "Br", next := 697, root := ~, start := 692, stop := 696 ), rec( content := "Bunsenstraße 3-5", count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "Br", next := 719, root := ~, start := 714, stop := 718 ), rec( content := "D-37073 Göttingen", count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "Br", next := 742, root := ~, start := 737, stop := 741 ), rec( content := "Germany\n ", count := [ 0, 0, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 0, 4 ], name := "Address", next := 762, root := ~, start := 657, stop := 761 ), rec( attributes := rec( ), content := [ rec( content := "\n This document describes the\ package ", count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "Float", count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "Package", next := 840, root := ~, start := 816, stop := 839 ), rec( content := ", which\n implements in ", count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "GAP", count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "Package", next := 23, root := ~, start := 1, stop := 22 ), rec( content := " arbitrary-precision floating-po\ int numbers.\n ", count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Only := "HTML" ), content := [ rec( HTML := true, content := "\n ", count := [ 0, 0, 1, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "P", next := 942, root := ~, start := 938, stop := 941 ), rec( HTML := true, content := "\n The computer algebra\ system ", count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "GAP", count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "Package", next := 23, root := ~, start := 1, stop := 22 ), rec( HTML := true, content := " is available at\n ", count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "http://gap-syste\ m.org", count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "URL", next := 1029, root := ~, start := 997, stop := 1028 ), rec( HTML := true, content := ".\n ", count := [ 0, 0, 1, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "P", next := 1037, root := ~, start := 1033, stop := 1036 ), rec( HTML := true, content := "\n This documentation f\ or ", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "Float", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "Package", next := 1087, root := ~, start := 1063, stop := 1086 ), rec( HTML := true, content := " is available at\n ", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "http://www.gap-s\ ystem.org/Manuals/pkg/float-0.9.1/doc/manual.pdf", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "URL", next := 1185, root := ~, start := 1106, stop := 1184 ), rec( HTML := true, content := " in PDF format, and may \ be\n accessed online at ", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "http://gap-packa\ ges.github.io/float/", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "URL", next := 1280, root := ~, start := 1233, stop := 1279 ), rec( HTML := true, content := ".\n ", count := [ 0, 0, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "P", next := 1288, root := ~, start := 1284, stop := 1287 ), rec( HTML := true, content := "\n The latest release o\ f the package may be downloaded as\n ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "https://github.c\ om/gap-packages/float/releases/download/v0.9.1/float-0.9.1.tar.gz", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "URL", next := 1448, root := ~, start := 1348, stop := 1447 ), rec( HTML := true, content := " (tar, gzipped).\n The \ latest repository version (possibly unstable) may be downloaded as\n ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "https://github.c\ om/gap-packages/float/tarball/master", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "URL", next := 1603, root := ~, start := 1540, stop := 1602 ), rec( HTML := true, content := " (tar, gzipped),\n ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "https://github.c\ om/gap-packages/float.git", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "URL", next := 1674, root := ~, start := 1622, stop := 1673 ), rec( HTML := true, content := " (git repository),\n ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "https://packages\ .debian.org/search?keywords=gap-float&searchon=names&suite=all§ion=all", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "URL", next := 1808, root := ~, start := 1695, stop := 1807 ), rec( HTML := true, content := " (debian package), or\n \ explored at ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( HTML := true, content := "https://github.c\ om/gap-packages/float/tree/master/", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "URL", next := 1905, root := ~, start := 1844, stop := 1904 ), rec( HTML := true, content := ".\n ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 1 ], name := "Alt", next := 1915, root := ~, start := 918, stop := 1914 ), rec( content := "\n ", count := [ 0, 0, 1, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 1, 5 ], mathmode := "Text", name := "P", next := 1922, root := ~, start := 1918, stop := 1921 ), rec( content := "\n For comments or questions \ on ", count := [ 0, 0, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "Float", count := [ 0, 0, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 5 ], mathmode := "Text", name := "Package", next := 1980, root := ~, start := 1956, stop := 1979 ), rec( content := " please contact\n the author.\ \n ", count := [ 0, 0, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 1, 1 ], name := "Abstract", next := 2025, root := ~, start := 765, stop := 2024 ), rec( attributes := rec( ), content := [ rec( content := "© 2011-2016 by Laurent Bartholdi\ \n ", count := [ 0, 0, 2, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 2, 1 ], name := "Copyright", next := 2096, root := ~, start := 2028, stop := 2095 ), rec( attributes := rec( ), content := [ rec( content := "Part of this work is supported by\ the \"Swiss\n National Fund for Scientific Research (SNF)\", the \"German Na\ tional Science Foundation (DFG)\",\n and the Courant Research Centre \"Higher\ Order Structures\" of the University of Göttingen.\n ", count := [ 0, 0, 3, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 0, 0, 3, 1 ], name := "Acknowledgements", next := 2372, root := ~, start := 2099, stop := 2371 ) ], count := [ 0, 0, 0, 1 ], mathmode := "Text", name := "TitlePage", next := 2386, root := ~, start := 235, stop := 2385 ), rec( attributes := rec( ), content := 0, count := [ 0, 0, 4, 1 ], mathmode := "Text", name := "TableOfContents", next := 2406, root := ~, start := 2388, stop := 2405 ), rec( attributes := rec( ), content := [ rec( content := "\n\n", count := [ 0, 0, 4, 1 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "Licensing", count := [ 1, 0, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 1, 0, 0, 2 ], mathmode := "Text", name := "Heading", next := 2453, root := ~, start := 2425, stop := 2452 ), rec( content := "\n\nThis program is free softwar\ e; you can redistribute it and/or modify\nit under the terms of the GNU Genera\ l Public License as published by\nthe Free Software Foundation; either version\ 2 of the License, or any\nlater version.\n\n", count := [ 1, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 1, 0, 0, 4 ], mathmode := "Text", name := "P", next := 2683, root := ~, start := 2679, stop := 2682 ), rec( content := " This program is distributed in \ the hope that it will be useful,\nbut WITHOUT ANY WARRANTY; without even the i\ mplied warranty of\nMERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See \ the GNU\nGeneral Public License for more details.\n\n", count := [ 1, 0, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 1, 0, 0, 5 ], mathmode := "Text", name := "P", next := 2923, root := ~, start := 2919, stop := 2922 ), rec( content := " You should have received a copy\ of the GNU General Public\nLicense along with this program, in the file COPYI\ NG. If not, see\n", count := [ 1, 0, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "http://www.gnu.org/licens\ es/", count := [ 1, 0, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 1, 0, 0, 5 ], mathmode := "Text", name := "URL", next := 3088, root := ~, start := 3049, stop := 3087 ), rec( content := ".\n\n", count := [ 1, 0, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 1, 0, 0, 1 ], mathmode := "Text", name := "Chapter", next := 3101, root := ~, start := 2416, stop := 3100 ), rec( content := "\n\n", count := [ 1, 0, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Label := "floatpackage" ), content := [ rec( attributes := rec( ), content := [ rec( content := "Float package", count := [ 2, 0, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 0, 0, 2 ], mathmode := "Text", name := "Heading", next := 3165, root := ~, start := 3133, stop := 3164 ), rec( content := "\n\n", count := [ 2, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Label := "sample" ), content := [ rec( attributes := rec( ), content := [ rec( content := "A sample run", count := [ 2, 1, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 2 ], mathmode := "Text", name := "Heading", next := 3222, root := ~, start := 3191, stop := 3221 ), rec( content := "\n\nThe extended floatin\ g-point capabilities of ", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "GAP", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "Package", next := 23, root := ~, start := 1, stop := 22 ), rec( content := " are installed by loadin\ g the package\nvia ", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "LoadPackage(\"flo\ at\");", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "C", next := 3343, root := ~, start := 3315, stop := 3342 ), rec( content := " and selecting new float\ ing-point handlers via\n", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "SetFloats(MPFR)", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "C", next := 3412, root := ~, start := 3390, stop := 3411 ), rec( content := ", ", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "SetFloats(MPFI)", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "C", next := 3436, root := ~, start := 3414, stop := 3435 ), rec( content := ", ", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "SetFloats(MPC)", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "C", next := 3459, root := ~, start := 3438, stop := 3458 ), rec( content := " or", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "SetFloats(CXSC)", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "C", next := 3484, root := ~, start := 3462, stop := 3483 ), rec( content := ",\ndepending on whether \ high-precision real, interval or complex arithmetic are desired, or\nwhether a\ fast package containing all four real/complex element/interval arithmetic is \ desired:\n", count := [ 2, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "\ngap> LoadPackag\ e(\"float\");\nLoading FLOAT 0.7.0 ...\ntrue\ngap> SetFloats(MPFR); # floating\ -point\ngap> x := 4*Atan(1.0);\n.314159e1\ngap> Sin(x);\n.169569e-30\ngap> Set\ Floats(MPFR,1000); # 1000 bits\ngap> x := 4*Atan(1.0);\n.314159e1\ngap> Sin(x)\ ;\n.125154e-300\ngap> String(x,300);\n\".3141592653589793238462643383279502884\ 197169399375105820974944592307816406286\\\n20899862803482534211706798214808651\ 3282306647093844609550582231725359408128481\\\n1174502841027019385211055596446\ 22948954930381964428810975665933446128475648233\\\n786783165271201909145648566\ 92346034861045432664821339360726024914127e1\"\ngap>\ngap> SetFloats(MPFI); # i\ ntervals\ngap> x := 4*Atan(1.0);\n.314159e1(99)\ngap> AbsoluteDiameter(x); Sup\ (x); Inf(x);\n.100441e-29\n.314159e1\n.314159e1\ngap> Sin(x);\n-.140815e-29(97\ )\ngap> 0.0 in last;\ntrue\ngap> 1.0; # exact representation\n.1e1(∞)\ngap> \ IncreaseInterval(last,0.001); # now only 8 significant bits\n.1e1(8)\ngap> Inc\ reaseInterval(last,-0.002); # now becomes empty\n∅\ngap> MinimalPolynomial(R\ ationals,Sqrt(2.0));\n-2*x_1^2+1\ngap> Cyc(last);\nE(8)-E(8)^3\ngap>\ngap> Set\ Floats(MPC); # complex numbers\ngap> z := 5.0-1.0i;\n.5e1-.1e1i\ngap> (1+1.0i)\ *last^4*(239+1.0i);\n.228488e6\ngap> Exp(6.2835i);\n.1e1+.314693e-3i\n", count := [ 2, 1, 0, 4 ], name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 4 ], mathmode := "Text", name := "Example", next := 4903, root := ~, start := 3671, stop := 4902 ), rec( content := "\n\n", count := [ 2, 1, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 1, 0, 1 ], mathmode := "Text", name := "Section", next := 4915, root := ~, start := 3167, stop := 4914 ), rec( content := "\n\n", count := [ 2, 1, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 2, 0, 0, 1 ], mathmode := "Text", name := "Chapter", next := 4927, root := ~, start := 3103, stop := 4926 ), rec( content := "\n\n", count := [ 2, 1, 0, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Label := "poly" ), content := [ rec( attributes := rec( ), content := [ rec( content := "Polynomials", count := [ 3, 0, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 0, 0, 2 ], mathmode := "Text", name := "Heading", next := 4981, root := ~, start := 4951, stop := 4980 ), rec( content := "\n\n", count := [ 3, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "The Floats pseudo\ -field", count := [ 3, 1, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 1, 0, 2 ], mathmode := "Text", name := "Heading", next := 5034, root := ~, start := 4992, stop := 5033 ), rec( content := "\n\nPolynomials with flo\ ating-point coefficients may be manipulated in\n", count := [ 3, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "GAP", count := [ 3, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 1, 0, 3 ], mathmode := "Text", name := "Package", next := 23, root := ~, start := 1, stop := 22 ), rec( content := "; though they behave, in\ subtle ways, quite differently than\npolynomials over rings.\n", count := [ 3, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "P", next := 5197, root := ~, start := 5193, stop := 5196 ), rec( content := "\n\nThe \"pseudo-field\"\ of floating-point numbers is an object in ", count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "GAP", count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "Package", next := 23, root := ~, start := 1, stop := 22 ), rec( content := ",\ncalled ", count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "FLOAT_PSEUDOFIELD\ ", count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "C", next := 5298, root := ~, start := 5274, stop := 5297 ), rec( content := ". (It is not really a fi\ eld,\ne.g. because addition of floating-point numbers in not\nassociative). It\ may be used to create indeterminates, for example as\n", count := [ 3, 1, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "\ngap> x := Indet\ erminate(FLOAT_PSEUDOFIELD,\"x\");\nx\ngap> 2*x^2+3;\n2.0*x^2+3.0\ngap> Value(\ last,10);\n203.0\n", count := [ 3, 1, 0, 5 ], name := "PCDATA", root := ~ ) ], count := [ 3, 1, 0, 5 ], mathmode := "Text", name := "Example", next := 5587, root := ~, start := 5452, stop := 5586 ), rec( content := "\n\n", count := [ 3, 1, 0, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 1, 0, 1 ], mathmode := "Text", name := "Section", next := 5599, root := ~, start := 4983, stop := 5598 ), rec( content := "\n\n", count := [ 3, 1, 0, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "Roots of polynomi\ als", count := [ 3, 2, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 2, 0, 2 ], mathmode := "Text", name := "Heading", next := 5649, root := ~, start := 5610, stop := 5648 ), rec( content := "\n\nThe Jenkins-Traub al\ gorithm has been implemented, in arbitrary\nprecision for MPFR and MPC.\n", count := [ 3, 2, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 3, 2, 0, 4 ], mathmode := "Text", name := "P", next := 5746, root := ~, start := 5742, stop := 5745 ), rec( content := "\nFurthermore, CXSC can \ provide complex enclosures for the roots of a\ncomplex polynomial.\n\n", count := [ 3, 2, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 2, 0, 1 ], mathmode := "Text", name := "Section", next := 5846, root := ~, start := 5601, stop := 5845 ), rec( content := "\n\n", count := [ 3, 2, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "Finding integer r\ elations", count := [ 3, 3, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 2 ], mathmode := "Text", name := "Heading", next := 5901, root := ~, start := 5857, stop := 5900 ), rec( content := "\nThe PSLQ algorithm has\ been implemented by Steve A. Linton, as an external\r\ncontribution to ", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "Float", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "Package", next := 6018, root := ~, start := 5994, stop := 6017 ), rec( content := ". This algorithm receive\ s as\r\ninput a vector of floats ", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "x", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "M", next := 6081, root := ~, start := 6073, stop := 6080 ), rec( content := " and a required precisio\ n ", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "\\epsilon", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "M", next := 6122, root := ~, start := 6107, stop := 6121 ), rec( content := ",\r\nand seeks an intege\ r vector ", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "v", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "M", next := 6161, root := ~, start := 6153, stop := 6160 ), rec( content := " such that\r\n", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "|x\\cdot v|<\\eps\ ilon", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "M", next := 6202, root := ~, start := 6173, stop := 6201 ), rec( content := ". The implementation fol\ lows quite closely the\r\noriginal article ", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Key := "MR1836930" ), content := 0, count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "Cite", next := 6290, root := ~, start := 6267, stop := 6289 ), rec( content := ".\r\n\r\n", count := [ 3, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Arg := "x, epsilon[, gam\ ma]", Name := "PSLQ" ), content := 0, count := [ 3, 3, 1, 2 ], mathmode := "Text", name := "Func", next := 6356, root := ~, start := 6311, stop := 6355 ), rec( attributes := rec( Arg := "x, epsilon[, gam\ ma [,beta]]", Name := "PSLQ_MP" ), content := 0, count := [ 3, 3, 1, 4 ], mathmode := "Text", name := "Func", next := 6416, root := ~, start := 6360, stop := 6415 ), rec( attributes := rec( ), content := [ rec( content := "An intege\ r vector ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "v\ ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "M", next := 6455, root := ~, start := 6447, stop := 6454 ), rec( content := " with ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "|\ x\\cdot v|<\\epsilon", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCD\ ATA", root := ~ ) ], count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "M", next := 6490, root := ~, start := 6461, stop := 6489 ), rec( content := ".", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "Returns", next := 6501, root := ~, start := 6420, stop := 6500 ), rec( attributes := rec( ), content := [ rec( content := "\r\n T\ he PSLQ algorithm by Bailey and Broadhurst (see ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Key := "MR183693\ 0" ), content := 0, count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "Cite", next := 6596, root := ~, start := 6573, stop := 6595 ), rec( content := ")\r\n \ searches for an integer relation between the entries in ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "x\ ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "M", next := 6667, root := ~, start := 6659, stop := 6666 ), rec( content := ".\r\n\r\\ n ", count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "P", next := 6680, root := ~, start := 6676, stop := 6679 ), rec( attributes := rec( ), content := [ rec( content := "\\ \beta", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "M", next := 6692, root := ~, start := 6680, stop := 6691 ), rec( content := " and ", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "\\ \gamma", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "M", next := 6710, root := ~, start := 6697, stop := 6709 ), rec( content := " are alg\ orithm tuning parameters, and\r\n default to ", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "4\ /10", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "M", next := 6775, root := ~, start := 6764, stop := 6774 ), rec( content := " and ", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "2\ /\\sqrt(3)", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "M", next := 6797, root := ~, start := 6780, stop := 6796 ), rec( content := " respect\ ively.\r\n\r\n ", count := [ 3, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 3, 3, 1, 7 ], mathmode := "Text", name := "P", next := 6823, root := ~, start := 6819, stop := 6822 ), rec( content := "The seco\ nd form implements the \"Multi-pair\" variant of the algorithm, which is\r\n \ better suited to parallelization.\r\n", count := [ 3, 3, 1, 7 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "\\ r\ngap> PSLQ([1.0,(1+Sqrt(5.0))/2],1.e-2);\r\n[ 55, -34 ] # Fibonacci numbers\ \r\ngap> RootsFloat([1,-4,2]*1.0);\r\n[ 0.292893, 1.70711 ] # roots of 2x^2-4x\ +1\r\ngap> PSLQ(List([0..2],i->last[1]^i),1.e-7);\r\n[ 1, -4, 2 ] # a degree-2\ polynomial fitting well\r\n", count := [ 3, 3, 1, 8 ], name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 8 ], mathmode := "Text", name := "Example", next := 7221, root := ~, start := 6942, stop := 7220 ), rec( content := "\r\n ", count := [ 3, 3, 1, 9 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 1, 5 ], mathmode := "Text", name := "Description", next := 7239, root := ~, start := 6505, stop := 7238 ) ], count := [ 3, 3, 1, 1 ], mathmode := "Text", name := "ManSection", next := 7254, root := ~, start := 6295, stop := 7253 ), rec( content := "\r\n\n", count := [ 3, 3, 1, 9 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 3, 0, 1 ], mathmode := "Text", name := "Section", next := 7267, root := ~, start := 5848, stop := 7266 ), rec( content := "\n\n", count := [ 3, 3, 1, 9 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "LLL lattice reduc\ tion", count := [ 3, 4, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 4, 0, 2 ], mathmode := "Text", name := "Heading", next := 7318, root := ~, start := 7278, stop := 7317 ), rec( content := "\n\nA faster implementat\ ion of the LLL lattice reduction algorithm has\nalso been implemented. It is a\ ccessible via the commands\n", count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "FPLLLReducedBasis\ (m)", count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "C", next := 7471, root := ~, start := 7444, stop := 7470 ), rec( content := " and \n", count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "FPLLLShortestVect\ or(m)", count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "C", next := 7506, root := ~, start := 7477, stop := 7505 ), rec( content := ".\n", count := [ 3, 4, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 3, 4, 0, 4 ], mathmode := "Text", name := "P", next := 7512, root := ~, start := 7508, stop := 7511 ), rec( content := "\n\n", count := [ 3, 4, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 4, 0, 1 ], mathmode := "Text", name := "Section", next := 7524, root := ~, start := 7269, stop := 7523 ), rec( content := "\n\n", count := [ 3, 4, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 3, 0, 0, 1 ], mathmode := "Text", name := "Chapter", next := 7536, root := ~, start := 4929, stop := 7535 ), rec( content := "\n\n", count := [ 3, 4, 0, 4 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( Label := "impl" ), content := [ rec( attributes := rec( ), content := [ rec( content := "Implemented packages", count := [ 4, 0, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 0, 0, 2 ], mathmode := "Text", name := "Heading", next := 7599, root := ~, start := 7560, stop := 7598 ), rec( content := "\n\n", count := [ 4, 0, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "MPFR", count := [ 4, 1, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 1, 0, 2 ], mathmode := "Text", name := "Heading", next := 7633, root := ~, start := 7610, stop := 7632 ), rec( content := "\n", count := [ 4, 1, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Name := "IsMPFRFloat" ), content := 0, count := [ 4, 1, 1, 2 ], mathmode := "Text", name := "Filt", next := 7675, root := ~, start := 7649, stop := 7674 ), rec( attributes := rec( Name := "TYPE_MPFR" ) , content := 0, count := [ 4, 1, 1, 4 ], mathmode := "Text", name := "Var", next := 7701, root := ~, start := 7678, stop := 7700 ), rec( attributes := rec( ), content := [ rec( content := "\n The\ category of floating-point numbers.\n\n ", count := [ 4, 1, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 4, 1, 1, 6 ], mathmode := "Text", name := "P", next := 7771, root := ~, start := 7767, stop := 7770 ), rec( content := " Note th\ at they are treated as commutative and scalar, but are\n not necessarily as\ sociative.\n ", count := [ 4, 1, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 1, 1, 5 ], mathmode := "Text", name := "Description", next := 7883, root := ~, start := 7704, stop := 7882 ) ], count := [ 4, 1, 1, 1 ], mathmode := "Text", name := "ManSection", next := 7897, root := ~, start := 7634, stop := 7896 ), rec( content := "\n\n", count := [ 4, 1, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 1, 0, 1 ], mathmode := "Text", name := "Section", next := 7909, root := ~, start := 7601, stop := 7908 ), rec( content := "\n\n", count := [ 4, 1, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "MPFI", count := [ 4, 2, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 2, 0, 2 ], mathmode := "Text", name := "Heading", next := 7943, root := ~, start := 7920, stop := 7942 ), rec( content := "\n", count := [ 4, 2, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Name := "IsMPFIFloat" ), content := 0, count := [ 4, 2, 1, 2 ], mathmode := "Text", name := "Filt", next := 7985, root := ~, start := 7959, stop := 7984 ), rec( attributes := rec( Name := "TYPE_MPFI" ) , content := 0, count := [ 4, 2, 1, 4 ], mathmode := "Text", name := "Var", next := 8011, root := ~, start := 7988, stop := 8010 ), rec( attributes := rec( ), content := [ rec( content := "\n The\ category of intervals of floating-point numbers.\n\n ", count := [ 4, 2, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 4, 2, 1, 6 ], mathmode := "Text", name := "P", next := 8094, root := ~, start := 8090, stop := 8093 ), rec( content := " Note th\ at they are treated as commutative and scalar, but are\n not necessarily as\ sociative.\n ", count := [ 4, 2, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 2, 1, 5 ], mathmode := "Text", name := "Description", next := 8206, root := ~, start := 8014, stop := 8205 ) ], count := [ 4, 2, 1, 1 ], mathmode := "Text", name := "ManSection", next := 8220, root := ~, start := 7944, stop := 8219 ), rec( content := "\n\n", count := [ 4, 2, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 2, 0, 1 ], mathmode := "Text", name := "Section", next := 8232, root := ~, start := 7911, stop := 8231 ), rec( content := "\n\n", count := [ 4, 2, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "MPC", count := [ 4, 3, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 3, 0, 2 ], mathmode := "Text", name := "Heading", next := 8265, root := ~, start := 8243, stop := 8264 ), rec( content := "\n", count := [ 4, 3, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Name := "IsMPCFloat" ), content := 0, count := [ 4, 3, 1, 2 ], mathmode := "Text", name := "Filt", next := 8306, root := ~, start := 8281, stop := 8305 ), rec( attributes := rec( Name := "TYPE_MPC" ), content := 0, count := [ 4, 3, 1, 4 ], mathmode := "Text", name := "Var", next := 8331, root := ~, start := 8309, stop := 8330 ), rec( attributes := rec( ), content := [ rec( content := "\n The\ category of intervals of floating-point numbers.\n\n ", count := [ 4, 3, 1, 5 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 4, 3, 1, 6 ], mathmode := "Text", name := "P", next := 8414, root := ~, start := 8410, stop := 8413 ), rec( content := " Note th\ at they are treated as commutative and scalar, but are\n not necessarily as\ sociative.\n ", count := [ 4, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 3, 1, 5 ], mathmode := "Text", name := "Description", next := 8526, root := ~, start := 8334, stop := 8525 ) ], count := [ 4, 3, 1, 1 ], mathmode := "Text", name := "ManSection", next := 8540, root := ~, start := 8266, stop := 8539 ), rec( content := "\n\n", count := [ 4, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 3, 0, 1 ], mathmode := "Text", name := "Section", next := 8552, root := ~, start := 8234, stop := 8551 ), rec( content := "\n\n", count := [ 4, 3, 1, 6 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "CXSC", count := [ 4, 4, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 4, 0, 2 ], mathmode := "Text", name := "Heading", next := 8586, root := ~, start := 8563, stop := 8585 ), rec( content := "\n", count := [ 4, 4, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Name := "IsCXSCReal" ), content := 0, count := [ 4, 4, 1, 2 ], mathmode := "Text", name := "Filt", next := 8627, root := ~, start := 8602, stop := 8626 ), rec( attributes := rec( Name := "IsCXSCComplex" ), content := 0, count := [ 4, 4, 1, 4 ], mathmode := "Text", name := "Filt", next := 8658, root := ~, start := 8630, stop := 8657 ), rec( attributes := rec( Name := "IsCXSCInterval"\ ), content := 0, count := [ 4, 4, 1, 6 ], mathmode := "Text", name := "Filt", next := 8690, root := ~, start := 8661, stop := 8689 ), rec( attributes := rec( Name := "IsCXSCBox" ) , content := 0, count := [ 4, 4, 1, 8 ], mathmode := "Text", name := "Filt", next := 8717, root := ~, start := 8693, stop := 8716 ), rec( attributes := rec( Name := "TYPE_CXSC_RP" ) , content := 0, count := [ 4, 4, 1, 10 ], mathmode := "Text", name := "Var", next := 8746, root := ~, start := 8720, stop := 8745 ), rec( attributes := rec( Name := "TYPE_CXSC_CP" ) , content := 0, count := [ 4, 4, 1, 12 ], mathmode := "Text", name := "Var", next := 8775, root := ~, start := 8749, stop := 8774 ), rec( attributes := rec( Name := "TYPE_CXSC_RI" ) , content := 0, count := [ 4, 4, 1, 14 ], mathmode := "Text", name := "Var", next := 8804, root := ~, start := 8778, stop := 8803 ), rec( attributes := rec( Name := "TYPE_CXSC_CI" ) , content := 0, count := [ 4, 4, 1, 16 ], mathmode := "Text", name := "Var", next := 8833, root := ~, start := 8807, stop := 8832 ), rec( attributes := rec( ), content := [ rec( content := "\n The\ category of floating-point numbers.\n\n ", count := [ 4, 4, 1, 17 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := 0, count := [ 4, 4, 1, 18 ], mathmode := "Text", name := "P", next := 8903, root := ~, start := 8899, stop := 8902 ), rec( content := " Note th\ at they are treated as commutative and scalar, but are\n not necessarily as\ sociative.\n ", count := [ 4, 4, 1, 18 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 4, 1, 17 ], mathmode := "Text", name := "Description", next := 9015, root := ~, start := 8836, stop := 9014 ) ], count := [ 4, 4, 1, 1 ], mathmode := "Text", name := "ManSection", next := 9029, root := ~, start := 8587, stop := 9028 ), rec( content := "\n\n", count := [ 4, 4, 1, 18 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 4, 0, 1 ], mathmode := "Text", name := "Section", next := 9041, root := ~, start := 8554, stop := 9040 ), rec( content := "\n\n", count := [ 4, 4, 1, 18 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( ), content := [ rec( content := "FPLLL", count := [ 4, 5, 0, 2 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 5, 0, 2 ], mathmode := "Text", name := "Heading", next := 9076, root := ~, start := 9052, stop := 9075 ), rec( content := "\n", count := [ 4, 5, 0, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( attributes := rec( Arg := "m", Name := "FPLLLReducedBas\ is" ), content := 0, count := [ 4, 5, 1, 2 ], mathmode := "Text", name := "Oper", next := 9132, root := ~, start := 9092, stop := 9131 ), rec( attributes := rec( ), content := [ rec( content := "A matrix \ spanning the same lattice as ", count := [ 4, 5, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ), rec( attributes := rec( ), content := [ rec( content := "m\ ", count := [ 4, 5, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 5, 1, 3 ], mathmode := "Text", name := "A", next := 9190, root := ~, start := 9182, stop := 9189 ), rec( content := ".", count := [ 4, 5, 1, 3 ], mathmode := "Text", name := "PCDATA", root := ~ ) ], count := [ 4, 5, 1, 3 ], mathmode := "Text", name := "Returns", next := 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~ ) ], count := [ 0, 0, 4, 1 ], mathmode := "Text", name := "Body", next := 9923, root := ~, start := 2408, stop := 9922 ), rec( attributes := rec( Databases := "float" ), content := 0, count := [ "Bib", 0, 0, 1 ], mathmode := "Text", name := "Bibliography", next := 9958, root := ~, start := 9925, stop := 9957 ), rec( attributes := rec( ), content := 0, count := [ "Ind", 0, 0, 1 ], mathmode := "Text", name := "TheIndex", next := 9970, root := ~, start := 9959, stop := 9969 ) ], count := [ 0, 0, 0, 1 ], name := "Book", next := 9979, root := ~, start := 214, stop := 9978 ) ], count := [ 0, 0, 0, 1 ], indent := "", indextext := "FPLLLReducedBasis 4.5-1
\nFPLLLShortes\ tVector 4.5-2
\nIsCXSCBox \ 4.4-1
\nIsCXSCComplex 4.4-1
\nIsCXSCInterva\ l 4.4-1
\nIsCXSCReal 4.4-1\
\nIsMPCFloat 4.3-1
\nIsMPFIFloat <\ a href=\"chap4.html#X842290DB8034BF90\">4.2-1
\nIsMPFRFloat 4.1-1 \nPSLQ 3.3-1
\nPSLQ_MP 3.3-1
\nTYPE_CXSC_CI 4.4-1
\nTYPE_CXSC_CP 4.4-1
\nTYPE_CXSC_RI 4.4-1
\nTYPE_CXSC_RP \ 4.4-1
\nTYPE_MPC 4.3-1
\ \nTYPE_MPFI 4.2-1
\nTYPE_MPFR 4.1-1
\n", input := "\n\n$\\to$--&tgt;'>\n \n\n\n]>\n\n\n\n Floating-point nu\ mbers\n Version &Version;\n \n M\ PFR- and CXSC-based library for GAP\n \n Laurent Bart\ holdi\n laurent.bartholdi@gmail.com\n\ \t\t laurent.bartholdi@gmail.com \n\t http://www.uni-math.gwdg.de/laurent/\n \n &Date\ ;\n
\n Mathematisches Institut
Bunsenstraße 3-5
D-3\ 7073 Göttingen
Germany\n
\n \n This document des\ cribes the package Float, which\n implements in &GAP; ar\ bitrary-precision floating-point numbers.\n \n

\n Th\ e computer algebra system &GAP; is available at\n http://gap-system.org<\ /URL>.\n

\n This documentation for Float is available\ at\n http://www.gap-system.org/Manuals/pkg/float-&Version;/doc/manual.p\ df in PDF format, and may be\n accessed online at http://gap-packa\ ges.github.io/float/.\n

\n The latest release of the package may b\ e downloaded as\n https://github.com/gap-packages/float/releases/downloa\ d/v&Version;/float-&Version;.tar.gz (tar, gzipped).\n The latest reposi\ tory version (possibly unstable) may be downloaded as\n https://github.c\ om/gap-packages/float/tarball/master (tar, gzipped),\n https://git\ hub.com/gap-packages/float.git (git repository),\n https://package\ s.debian.org/search?keywords=gap-float&searchon=names&suite=all&se\ ction=all (debian package), or\n explored at https://github.com/ga\ p-packages/float/tree/master/.\n \n

\n For comments or qu\ estions on Float please contact\n the author.\n \n ©right; 2011-2016 by Laurent Bartholdi\n \ \n Part of this work is supported by the \"Swiss\n Nationa\ l Fund for Scientific Research (SNF)\", the \"German National Science Foundati\ on (DFG)\",\n and the Courant Research Centre \"Higher Order Structures\" of \ the University of Göttingen.\n \n\n\n\n\n\n\n\nLicensing\n\nThis progra\ m is free software; you can redistribute it and/or modify\nit under the terms \ of the GNU General Public License as published by\nthe Free Software Foundatio\ n; either version 2 of the License, or any\nlater version.\n\n

This progra\ m is distributed in the hope that it will be useful,\nbut WITHOUT ANY WARRANTY\ ; without even the implied warranty of\nMERCHANTABILITY or FITNESS FOR A PARTI\ CULAR PURPOSE. See the GNU\nGeneral Public License for more details.\n\n

\ You should have received a copy of the GNU General Public\nLicense along with \ this program, in the file COPYING. If not, see\nhttp://www.gnu.org/licen\ ses/.\n\n\n\nFloat pa\ ckage\n\n

A sample run\n\ \nThe extended floating-point capabilities of &GAP; are installed by loading t\ he package\nvia LoadPackage(\"float\"); and selecting new floating-poin\ t handlers via\nSetFloats(MPFR), SetFloats(MPFI), SetFloats(M\ PC) orSetFloats(CXSC),\ndepending on whether high-precision real, i\ nterval or complex arithmetic are desired, or\nwhether a fast package containi\ ng all four real/complex element/interval arithmetic is desired:\n LoadPackage(\"float\");\nLoading FLOAT 0.7.0 ...\ntrue\ngap> SetF\ loats(MPFR); # floating-point\ngap> x := 4*Atan(1.0);\n.314159e1\ngap> Sin(x);\ \n.169569e-30\ngap> SetFloats(MPFR,1000); # 1000 bits\ngap> x := 4*Atan(1.0);\ \n.314159e1\ngap> Sin(x);\n.125154e-300\ngap> String(x,300);\n\".3141592653589\ 793238462643383279502884197169399375105820974944592307816406286\\\n20899862803\ 4825342117067982148086513282306647093844609550582231725359408128481\\\n1174502\ 84102701938521105559644622948954930381964428810975665933446128475648233\\\n786\ 78316527120190914564856692346034861045432664821339360726024914127e1\"\ngap>\ng\ ap> SetFloats(MPFI); # intervals\ngap> x := 4*Atan(1.0);\n.314159e1(99)\ngap> \ AbsoluteDiameter(x); Sup(x); Inf(x);\n.100441e-29\n.314159e1\n.314159e1\ngap> \ Sin(x);\n-.140815e-29(97)\ngap> 0.0 in last;\ntrue\ngap> 1.0; # exact represen\ tation\n.1e1(∞)\ngap> IncreaseInterval(last,0.001); # now only 8 significant\ bits\n.1e1(8)\ngap> IncreaseInterval(last,-0.002); # now becomes empty\n∅\n\ gap> MinimalPolynomial(Rationals,Sqrt(2.0));\n-2*x_1^2+1\ngap> Cyc(last);\nE(8\ )-E(8)^3\ngap>\ngap> SetFloats(MPC); # complex numbers\ngap> z := 5.0-1.0i;\n.\ 5e1-.1e1i\ngap> (1+1.0i)*last^4*(239+1.0i);\n.228488e6\ngap> Exp(6.2835i);\n.1\ e1+.314693e-3i\n]]>\n\n
\n\n\n\nPolynomials\n\n
The Floats pseudo-f\ ield\n\nPolynomials with floating-point coefficients may be manipula\ ted in\n&GAP;; though they behave, in subtle ways, quite differently than\npol\ ynomials over rings.\n

\n\nThe \"pseudo-field\" of floating-point numbers i\ s an object in &GAP;,\ncalled FLOAT_PSEUDOFIELD. (It is not really a fi\ eld,\ne.g. because addition of floating-point numbers in not\nassociative). It\ may be used to create indeterminates, for example as\n x := Indeterminate(FLOAT_PSEUDOFIELD,\"x\");\nx\ngap> 2*x^2+3;\n2.0*x^2+3.0\ \ngap> Value(last,10);\n203.0\n]]>\n\n

\n\n
Roots of polynomials\n\nThe Jenkins-Traub algorithm has been imple\ mented, in arbitrary\nprecision for MPFR and MPC.\n

\nFurthermore, CXSC can\ provide complex enclosures for the roots of a\ncomplex polynomial.\n\n\n\n

Finding integer relations\nThe PSLQ algorit\ hm has been implemented by Steve A. Linton, as an external\r\ncontribution to \ Float. This algorithm receives as\r\ninput a vector of floa\ ts x and a required precision \\epsilon,\r\nand seeks an integer\ vector v such that\r\n|x\\cdot v|<\\epsilon. The implementat\ ion follows quite closely the\r\noriginal article .\r\ \n\r\n\r\n \r\n \ \r\n An\ integer vector v with |x\\cdot v|<\\epsilon.\r\n \ \r\n The PSLQ algorithm by Bailey and Broadhurst (see )\r\n searches for an integer relation between the entries\ in x.\r\n\r\n

\\beta and \\gamma are algorithm tu\ ning parameters, and\r\n default to 4/10 and 2/\\sqrt(3) resp\ ectively.\r\n\r\n

The second form implements the \"Multi-pair\" variant\ of the algorithm, which is\r\n better suited to parallelization.\r\n PSLQ([1.0,(1+Sqrt(5.0))/2],1.e-2);\r\n[ 55, -34 ] # Fibon\ acci numbers\r\ngap> RootsFloat([1,-4,2]*1.0);\r\n[ 0.292893, 1.70711 ] # root\ s of 2x^2-4x+1\r\ngap> PSLQ(List([0..2],i->last[1]^i),1.e-7);\r\n[ 1, -4, 2 ] \ # a degree-2 polynomial fitting well\r\n]]>\r\n \r\n<\ /ManSection>\r\n\n

\n\n
LLL lattice reduction\n\nA faster implementation of the LLL lattice reduction algorithm has\nals\ o been implemented. It is accessible via the commands\nFPLLLReducedBasis(m)\ and \nFPLLLShortestVector(m).\n

\n\n

\n\n\n\ \nImplemented packages\n\n
\ MPFR\n\n \n \n \n The category of floating-point numb\ ers.\n\n

Note that they are treated as commutative and scalar, but are\ \n not necessarily associative.\n \n\n\n\n\n

MPFI\n\n \n \n \n The category of int\ ervals of floating-point numbers.\n\n

Note that they are treated as co\ mmutative and scalar, but are\n not necessarily associative.\n \n\n\n

\n\n
MPC\n\n \n \n \n The category of intervals of floating-point numbers.\n\n

Note t\ hat they are treated as commutative and scalar, but are\n not necessarily a\ ssociative.\n \n\n\n

\n\n
CXSC\n\n \n \n \n \n \n \n \n \n \n T\ he category of floating-point numbers.\n\n

Note that they are treated \ as commutative and scalar, but are\n not necessarily associative.\n \n\n\n

\n\n
FPLLL\n\n \n A matri\ x spanning the same lattice as m.\n \n This \ function implements the LLL (Lenstra-Lenstra-Lovász) lattice\n reduction a\ lgorithm via the external library fplll.\n\n

The re\ sult is guaranteed to be optimal up to 1%.\n \n\n\ \n\n \n A\ short vector in the lattice spanned by m.\n \n\ This function implements the LLL (Lenstra-Lenstra-Lovász) lattice\n re\ duction algorithm via the external library fplll,\n and \ then computes a short vector in this lattice.\n\n

The result is guaran\ teed to be optimal up to 1%.\n \n\n\n

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1 Licensing\n
\n
2 Float pa\ ckage\n
 2.1 A sample run\n\n
\n
\n
3 P\ olynomials\n
 3.1 The Floats pseudo-field\n\n
\n
 <\ a href=\"chap3.html#X788CDC24834012D7\">3.2 Roots of p\ olynomials\n\n
\n
 3.3 Finding integer relations\n\n
\n
  3.3-1 PSLQ<\ /a>\n
\n
 3.4 LLL lattice reduction\n\n
\n\n
4 Implemented packages\n
 4.1 MPFR\n\n
\n
 4.2 MPFI\n\n
\n
  4.2-1 IsMPFIFloat\n
\n
 4.3 MPC<\ /a>\n\n
\n
  4.\ 3-1 IsMPCFloat\n
\n
 4.4 CXSC\n\n
\n
  \ 4.4-1 IsCXSCReal\n<\ /div>
\n
 4.5 FPLLL\n\n
\n
  4.5-1 FPLLLReducedBasis\n
  4.5-2 FPLLLShortestVector\n
\n
\n
References\
\n
Index
\n
1 Licensing\n\n
2 Float package\n
 2.1 A sample run\n\n
\ \n
\n
3 <\ span class=\"Heading\">Polynomials\n
 3.1 The Floats pseudo-field\ \n\n
\n
 3.2 Roots of polynomials\n\n
\n
 3.3 Finding integer r\ elations\n\n
\n
  3.3-1 PSLQ\n
\n
 3.4 LLL lattice reduction\n\n
\n
\n
4 Implemented packages\n 4.1 MPFR\n\n
\n
  4.1-1 IsMPFRFloat\n
\n
 4.2 MPFI\n\n
\n
 &\ nbsp;4.2-1 IsMPFIFloat\n
\n
 4.3 MPC\n\n
\n
  4.3-1 IsMPCFloat\n
\n
 4.4 CXSC\ \n\n
\n
  4.4-1\ IsCXSCReal\n
\n
 4.5 FPLLL\n\n
\n
  4.5-1 FPLLLReducedBasis\n
  4.5-2 FPLLLShortestVector\n
\n
\n
References
\n
Index
\n" ) #I File: ./doc/manual.lab written. dh_prep make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' debian/rules override_dh_auto_install make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_auto_install --destdir debian/tmp/ make -j1 install DESTDIR=/build/gap-float-Ka27S8/gap-float-0.9.1\+ds/debian/tmp AM_UPDATE_INFO_DIR=no make[2]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' Making install in src make[3]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' make[4]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' make[4]: Nothing to be done for 'install-exec-am'. /bin/mkdir -p '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/lib/x86_64-linux-gnu/gap/pkg/float/bin' /bin/bash ../libtool --mode=install /usr/bin/install -c float.la '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/lib/x86_64-linux-gnu/gap/pkg/float/bin' libtool: install: /usr/bin/install -c .libs/float.so /build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/lib/x86_64-linux-gnu/gap/pkg/float/bin/float.so libtool: install: /usr/bin/install -c .libs/float.lai /build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/lib/x86_64-linux-gnu/gap/pkg/float/bin/float.la libtool: warning: remember to run 'libtool --finish /usr/lib/x86_64-linux-gnu/gap/pkg/float/bin' make[4]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' make[3]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/src' Making install in lib make[3]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' make[4]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' make[4]: Nothing to be done for 'install-exec-am'. /bin/mkdir -p '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/share/gap/pkg/float/lib' /usr/bin/install -c -m 644 float.gd mpfr.gi mpc.gi mpfi.gi fplll.gi cxsc.gi polynomial.gi pslq.gi pickle.g '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/share/gap/pkg/float/lib' make[4]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' make[3]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/lib' Making install in tst make[3]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[4]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[4]: Nothing to be done for 'install-exec-am'. /bin/mkdir -p '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/share/gap/pkg/float/tst' /usr/bin/install -c -m 644 testall.g arithmetic.tst polynomials.tst fplll.tst '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/share/gap/pkg/float/tst' make[4]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[3]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/tst' make[3]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[4]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[4]: Nothing to be done for 'install-exec-am'. /bin/mkdir -p '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/share/gap/pkg/float' /usr/bin/install -c -m 644 PackageInfo.g init.g read.g '/build/gap-float-Ka27S8/gap-float-0.9.1+ds/debian/tmp/usr/share/gap/pkg/float' make[4]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[3]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[2]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_install -a dh_installdocs -a dh_installchangelogs -a dh_lintian -a dh_perl -a debian/rules override_dh_link make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_link -p gap-float \ /usr/lib/x86_64-linux-gnu/gap/pkg/float/bin /usr/lib/gap/pkg/float/bin/x86_64-pc-linux-gnu-default64-kv7 \ /usr/lib/gap/pkg/float/bin /usr/share/gap/pkg/float/bin \ /usr/share/gap/pkg/float/doc /usr/share/doc/gap-float/doc make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_strip_nondeterminism -a dh_compress -a dh_fixperms -a dh_missing -a dh_missing: warning: usr/lib/x86_64-linux-gnu/gap/pkg/float/bin/float.la exists in debian/tmp but is not installed to anywhere The following debhelper tools have reported what they installed (with files per package) * dh_install: gap-float (27) * dh_installdocs: gap-float (2) If the missing files are installed by another tool, please file a bug against it. When filing the report, if the tool is not part of debhelper itself, please reference the "Logging helpers and dh_missing" section from the "PROGRAMMING" guide for debhelper (10.6.3+). (in the debhelper package: /usr/share/doc/debhelper/PROGRAMMING.gz) Be sure to test with dpkg-buildpackage -A/-B as the results may vary when only a subset is built If the omission is intentional or no other helper can take care of this consider adding the paths to debian/not-installed. Remember to be careful with paths containing "x86_64-linux-gnu", where you might need to use a wildcard or (assuming compat 13+) e.g. ${DEB_HOST_MULTIARCH} in debian/not-installed to ensure it works on all architectures (see #961104). dh_dwz -a dh_strip -a dh_makeshlibs -a dh_shlibdeps -a dpkg-shlibdeps: warning: debian/gap-float/usr/lib/x86_64-linux-gnu/gap/pkg/float/bin/float.so contains an unresolvable reference to symbol ErrorQuit: it's probably a plugin dpkg-shlibdeps: warning: 27 other similar warnings have been skipped (use -v to see them all) dh_installdeb -a debian/rules override_dh_gencontrol make[1]: Entering directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_gencontrol -- -Vgapkernel:Depends="gap-kernel-7" make[1]: Leaving directory '/build/gap-float-Ka27S8/gap-float-0.9.1+ds' dh_md5sums -a dh_builddeb -a dpkg-deb: building package 'gap-float' in '../gap-float_0.9.1+ds-6+b1_amd64.deb'. dpkg-deb: building package 'gap-float-dbgsym' in '../gap-float-dbgsym_0.9.1+ds-6+b1_amd64.deb'. dpkg-genbuildinfo --build=any dpkg-genchanges --build=any >../gap-float_0.9.1+ds-6+b1_amd64.changes dpkg-genchanges: info: binary-only arch-specific upload (source code and arch-indep packages not included) dpkg-source --after-build . dpkg-buildpackage: info: binary-only upload (no source included) I: running special hook: sync-out /build/gap-float-Ka27S8 /tmp/gap-float-0.9.1+ds-6+b11yk7oqal I: cleaning package lists and apt cache... W: deleting files in /tmp: texfonts I: creating tarball... I: done I: removing tempdir /tmp/mmdebstrap.cjzUxioACn... I: success in 749.9878 seconds md5: gap-float-dbgsym_0.9.1+ds-6+b1_amd64.deb: OK md5: gap-float_0.9.1+ds-6+b1_amd64.deb: OK sha1: gap-float-dbgsym_0.9.1+ds-6+b1_amd64.deb: OK sha1: gap-float_0.9.1+ds-6+b1_amd64.deb: OK sha256: gap-float-dbgsym_0.9.1+ds-6+b1_amd64.deb: OK sha256: gap-float_0.9.1+ds-6+b1_amd64.deb: OK Checksums: OK