I: pbuilder: network access will be disabled during build I: Current time: Wed Sep 8 12:27:04 +14 2021 I: pbuilder-time-stamp: 1631053624 I: Building the build Environment I: extracting base tarball [/var/cache/pbuilder/buster-reproducible-base.tgz] I: copying local configuration I: mounting /proc filesystem I: mounting /sys filesystem I: creating /{dev,run}/shm I: mounting /dev/pts filesystem I: redirecting /dev/ptmx to /dev/pts/ptmx I: policy-rc.d already exists I: Copying source file I: copying [octave-symbolic_2.7.1-2.dsc] I: copying [./octave-symbolic_2.7.1.orig.tar.gz] I: copying [./octave-symbolic_2.7.1-2.debian.tar.xz] I: Extracting source gpgv: unknown type of key resource 'trustedkeys.kbx' gpgv: keyblock resource '/var/lib/jenkins/.gnupg/trustedkeys.kbx': General error gpgv: Signature made Sat Jan 5 01:12:21 2019 +14 gpgv: using RSA key 3F464391498FE874BDB5D98F2124AA1983785C90 gpgv: Can't check signature: No public key dpkg-source: warning: failed to verify signature on ./octave-symbolic_2.7.1-2.dsc dpkg-source: info: extracting octave-symbolic in octave-symbolic-2.7.1 dpkg-source: info: unpacking octave-symbolic_2.7.1.orig.tar.gz dpkg-source: info: unpacking octave-symbolic_2.7.1-2.debian.tar.xz dpkg-source: info: using patch list from debian/patches/series dpkg-source: info: applying python3.patch dpkg-source: info: applying pochhammer-test-tolerance.patch dpkg-source: info: applying linspace-drop-test.patch I: Not using root during the build. I: Installing the build-deps I: user script /srv/workspace/pbuilder/9722/tmp/hooks/D01_modify_environment starting debug: Running on codethink-sled15-arm64. I: Changing host+domainname to test build reproducibility I: Adding a custom variable just for the fun of it... I: Changing /bin/sh to bash Removing 'diversion of /bin/sh to /bin/sh.distrib by dash' Adding 'diversion of /bin/sh to /bin/sh.distrib by bash' Removing 'diversion of /usr/share/man/man1/sh.1.gz to /usr/share/man/man1/sh.distrib.1.gz by dash' Adding 'diversion of /usr/share/man/man1/sh.1.gz to /usr/share/man/man1/sh.distrib.1.gz by bash' I: Setting pbuilder2's login shell to /bin/bash I: Setting pbuilder2's GECOS to second user,second room,second work-phone,second home-phone,second other I: user script /srv/workspace/pbuilder/9722/tmp/hooks/D01_modify_environment finished I: user script /srv/workspace/pbuilder/9722/tmp/hooks/D02_print_environment starting I: set BASH=/bin/sh BASHOPTS=checkwinsize:cmdhist:complete_fullquote:extquote:force_fignore:globasciiranges:hostcomplete:interactive_comments:progcomp:promptvars:sourcepath BASH_ALIASES=() BASH_ARGC=() BASH_ARGV=() BASH_CMDS=() BASH_LINENO=([0]="12" [1]="0") BASH_SOURCE=([0]="/tmp/hooks/D02_print_environment" [1]="/tmp/hooks/D02_print_environment") BASH_VERSINFO=([0]="5" [1]="0" [2]="3" [3]="1" [4]="release" [5]="aarch64-unknown-linux-gnu") BASH_VERSION='5.0.3(1)-release' BUILDDIR=/build BUILDUSERGECOS='second user,second room,second work-phone,second home-phone,second other' BUILDUSERNAME=pbuilder2 BUILD_ARCH=arm64 DEBIAN_FRONTEND=noninteractive DEB_BUILD_OPTIONS='buildinfo=+all reproducible=+all parallel=8' DIRSTACK=() DISTRIBUTION= EUID=0 FUNCNAME=([0]="Echo" [1]="main") GROUPS=() HOME=/var/lib/jenkins HOSTNAME=i-capture-the-hostname HOSTTYPE=aarch64 HOST_ARCH=arm64 IFS=' ' LANG=C LANGUAGE=nl_BE:nl LC_ALL=C MACHTYPE=aarch64-unknown-linux-gnu MAIL=/var/mail/root OPTERR=1 OPTIND=1 OSTYPE=linux-gnu PATH=/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path PBCURRENTCOMMANDLINEOPERATION=build PBUILDER_OPERATION=build PBUILDER_PKGDATADIR=/usr/share/pbuilder PBUILDER_PKGLIBDIR=/usr/lib/pbuilder PBUILDER_SYSCONFDIR=/etc PIPESTATUS=([0]="0") POSIXLY_CORRECT=y PPID=9722 PS4='+ ' PWD=/ SHELL=/bin/bash SHELLOPTS=braceexpand:errexit:hashall:interactive-comments:posix SHLVL=3 SUDO_COMMAND='/usr/bin/timeout -k 24.1h 24h /usr/bin/ionice -c 3 /usr/bin/nice -n 11 /usr/bin/unshare --uts -- /usr/sbin/pbuilder --build --configfile /srv/reproducible-results/rbuild-debian/tmp.MqFgsdKAeO/pbuilderrc_Z8zR --hookdir /etc/pbuilder/rebuild-hooks --debbuildopts -b --basetgz /var/cache/pbuilder/buster-reproducible-base.tgz --buildresult /srv/reproducible-results/rbuild-debian/tmp.MqFgsdKAeO/b2 --logfile b2/build.log octave-symbolic_2.7.1-2.dsc' SUDO_GID=117 SUDO_UID=110 SUDO_USER=jenkins TERM=unknown TZ=/usr/share/zoneinfo/Etc/GMT-14 UID=0 USER=root USERNAME=root _='I: set' http_proxy=http://192.168.101.16:3128 I: uname -a Linux i-capture-the-hostname 4.4.0-186-generic #216-Ubuntu SMP Wed Jul 1 05:35:21 UTC 2020 aarch64 GNU/Linux I: ls -l /bin total 4928 -rwxr-xr-x 1 root root 1216928 Apr 18 2019 bash -rwxr-xr-x 3 root root 34808 Jul 11 2019 bunzip2 -rwxr-xr-x 3 root root 34808 Jul 11 2019 bzcat lrwxrwxrwx 1 root root 6 Jul 11 2019 bzcmp -> bzdiff -rwxr-xr-x 1 root root 2227 Jul 11 2019 bzdiff lrwxrwxrwx 1 root root 6 Jul 11 2019 bzegrep -> bzgrep -rwxr-xr-x 1 root root 4877 Jun 25 2019 bzexe lrwxrwxrwx 1 root root 6 Jul 11 2019 bzfgrep -> bzgrep -rwxr-xr-x 1 root root 3641 Jul 11 2019 bzgrep -rwxr-xr-x 3 root root 34808 Jul 11 2019 bzip2 -rwxr-xr-x 1 root root 14264 Jul 11 2019 bzip2recover lrwxrwxrwx 1 root root 6 Jul 11 2019 bzless -> bzmore -rwxr-xr-x 1 root root 1297 Jul 11 2019 bzmore -rwxr-xr-x 1 root root 35576 Mar 1 2019 cat -rwxr-xr-x 1 root root 60256 Mar 1 2019 chgrp -rwxr-xr-x 1 root root 56096 Mar 1 2019 chmod -rwxr-xr-x 1 root root 64368 Mar 1 2019 chown -rwxr-xr-x 1 root root 134632 Mar 1 2019 cp -rwxr-xr-x 1 root root 129536 Jan 18 2019 dash -rwxr-xr-x 1 root root 97136 Mar 1 2019 date -rwxr-xr-x 1 root root 76736 Mar 1 2019 dd -rwxr-xr-x 1 root root 93752 Mar 1 2019 df -rwxr-xr-x 1 root root 138848 Mar 1 2019 dir -rwxr-xr-x 1 root root 75984 Jan 10 2019 dmesg lrwxrwxrwx 1 root root 8 Sep 27 2018 dnsdomainname -> hostname lrwxrwxrwx 1 root root 8 Sep 27 2018 domainname -> hostname -rwxr-xr-x 1 root root 31368 Mar 1 2019 echo -rwxr-xr-x 1 root root 28 Jan 8 2019 egrep -rwxr-xr-x 1 root root 27256 Mar 1 2019 false -rwxr-xr-x 1 root root 28 Jan 8 2019 fgrep -rwxr-xr-x 1 root root 68792 Jan 10 2019 findmnt -rwsr-xr-x 1 root root 34824 Apr 23 2020 fusermount -rwxr-xr-x 1 root root 174304 Jan 8 2019 grep -rwxr-xr-x 2 root root 2345 Jan 6 2019 gunzip -rwxr-xr-x 1 root root 6375 Jan 6 2019 gzexe -rwxr-xr-x 1 root root 89656 Jan 6 2019 gzip -rwxr-xr-x 1 root root 18440 Sep 27 2018 hostname -rwxr-xr-x 1 root root 64472 Mar 1 2019 ln -rwxr-xr-x 1 root root 52544 Jul 27 2018 login -rwxr-xr-x 1 root root 138848 Mar 1 2019 ls -rwxr-xr-x 1 root root 108552 Jan 10 2019 lsblk -rwxr-xr-x 1 root root 76840 Mar 1 2019 mkdir -rwxr-xr-x 1 root root 64480 Mar 1 2019 mknod -rwxr-xr-x 1 root root 39736 Mar 1 2019 mktemp -rwxr-xr-x 1 root root 38840 Jan 10 2019 more -rwsr-xr-x 1 root root 47112 Jan 10 2019 mount -rwxr-xr-x 1 root root 14344 Jan 10 2019 mountpoint -rwxr-xr-x 1 root root 138736 Mar 1 2019 mv lrwxrwxrwx 1 root root 8 Sep 27 2018 nisdomainname -> hostname lrwxrwxrwx 1 root root 14 Feb 15 2019 pidof -> /sbin/killall5 -rwxr-xr-x 1 root root 35560 Mar 1 2019 pwd lrwxrwxrwx 1 root root 4 Apr 18 2019 rbash -> bash -rwxr-xr-x 1 root root 43712 Mar 1 2019 readlink -rwxr-xr-x 1 root root 68440 Mar 1 2019 rm -rwxr-xr-x 1 root root 39624 Mar 1 2019 rmdir -rwxr-xr-x 1 root root 19144 Jan 22 2019 run-parts -rwxr-xr-x 1 root root 114016 Dec 23 2018 sed lrwxrwxrwx 1 root root 4 Sep 8 12:27 sh -> bash lrwxrwxrwx 1 root root 4 Sep 8 04:49 sh.distrib -> dash -rwxr-xr-x 1 root root 31384 Mar 1 2019 sleep -rwxr-xr-x 1 root root 72480 Mar 1 2019 stty -rwsr-xr-x 1 root root 59424 Jan 10 2019 su -rwxr-xr-x 1 root root 31416 Mar 1 2019 sync -rwxr-xr-x 1 root root 449416 Apr 24 2019 tar -rwxr-xr-x 1 root root 10560 Jan 22 2019 tempfile -rwxr-xr-x 1 root root 88968 Mar 1 2019 touch -rwxr-xr-x 1 root root 27256 Mar 1 2019 true -rwxr-xr-x 1 root root 14264 Apr 23 2020 ulockmgr_server -rwsr-xr-x 1 root root 30728 Jan 10 2019 umount -rwxr-xr-x 1 root root 31384 Mar 1 2019 uname -rwxr-xr-x 2 root root 2345 Jan 6 2019 uncompress -rwxr-xr-x 1 root root 138848 Mar 1 2019 vdir -rwxr-xr-x 1 root root 34824 Jan 10 2019 wdctl -rwxr-xr-x 1 root root 946 Jan 22 2019 which lrwxrwxrwx 1 root root 8 Sep 27 2018 ypdomainname -> hostname -rwxr-xr-x 1 root root 1983 Jan 6 2019 zcat -rwxr-xr-x 1 root root 1677 Jan 6 2019 zcmp -rwxr-xr-x 1 root root 5879 Jan 6 2019 zdiff -rwxr-xr-x 1 root root 29 Jan 6 2019 zegrep -rwxr-xr-x 1 root root 29 Jan 6 2019 zfgrep -rwxr-xr-x 1 root root 2080 Jan 6 2019 zforce -rwxr-xr-x 1 root root 7584 Jan 6 2019 zgrep -rwxr-xr-x 1 root root 2205 Jan 6 2019 zless -rwxr-xr-x 1 root root 1841 Jan 6 2019 zmore -rwxr-xr-x 1 root root 4552 Jan 6 2019 znew I: user script /srv/workspace/pbuilder/9722/tmp/hooks/D02_print_environment finished -> Attempting to satisfy build-dependencies -> Creating pbuilder-satisfydepends-dummy package Package: pbuilder-satisfydepends-dummy Version: 0.invalid.0 Architecture: arm64 Maintainer: Debian Pbuilder Team Description: Dummy package to satisfy dependencies with aptitude - created by pbuilder This package was created automatically by pbuilder to satisfy the build-dependencies of the package being currently built. Depends: debhelper-compat (= 12), dh-octave (>= 0.5.0), python3-sympy (>= 1.0) dpkg-deb: building package 'pbuilder-satisfydepends-dummy' in '/tmp/satisfydepends-aptitude/pbuilder-satisfydepends-dummy.deb'. Selecting previously unselected package pbuilder-satisfydepends-dummy. (Reading database ... 19168 files and directories currently installed.) Preparing to unpack .../pbuilder-satisfydepends-dummy.deb ... Unpacking pbuilder-satisfydepends-dummy (0.invalid.0) ... dpkg: pbuilder-satisfydepends-dummy: dependency problems, but configuring anyway as you requested: pbuilder-satisfydepends-dummy depends on debhelper-compat (= 12); however: Package debhelper-compat is not installed. pbuilder-satisfydepends-dummy depends on dh-octave (>= 0.5.0); however: Package dh-octave is not installed. pbuilder-satisfydepends-dummy depends on python3-sympy (>= 1.0); however: Package python3-sympy is not installed. Setting up pbuilder-satisfydepends-dummy (0.invalid.0) ... Reading package lists... Building dependency tree... Reading state information... Initializing package states... Writing extended state information... Building tag database... pbuilder-satisfydepends-dummy is already installed at the requested version (0.invalid.0) pbuilder-satisfydepends-dummy is already installed at the requested version (0.invalid.0) The following NEW packages will be installed: aglfn{a} autoconf{a} automake{a} autopoint{a} autotools-dev{a} bsdmainutils{a} ca-certificates{a} cme{a} debhelper{a} dh-autoreconf{a} dh-octave{a} dh-octave-autopkgtest{a} dh-strip-nondeterminism{a} dwz{a} file{a} fontconfig{a} fontconfig-config{a} fonts-dejavu-core{a} fonts-freefont-otf{a} gettext{a} gettext-base{a} gfortran{a} gfortran-8{a} gnuplot-data{a} gnuplot-nox{a} groff-base{a} hdf5-helpers{a} intltool-debian{a} libaec-dev{a} libaec0{a} libamd2{a} libapp-cmd-perl{a} libarchive-zip-perl{a} libarpack2{a} libasound2{a} libasound2-data{a} libavahi-client3{a} libavahi-common-data{a} libavahi-common3{a} libb-hooks-op-check-perl{a} libblas-dev{a} libblas3{a} libboolean-perl{a} libbsd0{a} libbtf1{a} libcairo2{a} libcamd2{a} libcapture-tiny-perl{a} libcarp-assert-more-perl{a} libcarp-assert-perl{a} libccolamd2{a} libcholmod3{a} libclass-load-perl{a} libclone-choose-perl{a} libcolamd2{a} libconfig-model-perl{a} libconvert-binhex-perl{a} libcroco3{a} libcups2{a} libcurl3-gnutls{a} libcxsparse3{a} libdata-optlist-perl{a} libdatrie1{a} libdbus-1-3{a} libdevel-callchecker-perl{a} libdouble-conversion1{a} libdrm-amdgpu1{a} libdrm-common{a} libdrm-dev{a} libdrm-etnaviv1{a} libdrm-freedreno1{a} libdrm-nouveau2{a} libdrm-radeon1{a} libdrm-tegra0{a} libdrm2{a} libdynaloader-functions-perl{a} libedit2{a} libegl-mesa0{a} libegl1{a} libelf1{a} libencode-locale-perl{a} liberror-perl{a} libevdev2{a} libexpat1{a} libexporter-lite-perl{a} libexporter-tiny-perl{a} libfftw3-bin{a} libfftw3-dev{a} libfftw3-double3{a} libfftw3-long3{a} libfftw3-single3{a} libfile-homedir-perl{a} libfile-listing-perl{a} libfile-stripnondeterminism-perl{a} libfile-which-perl{a} libflac8{a} libfltk-gl1.3{a} libfltk1.3{a} libfontconfig1{a} libfreetype6{a} libfribidi0{a} libgbm1{a} libgd3{a} libgetopt-long-descriptive-perl{a} libgfortran-8-dev{a} libgfortran5{a} libgl1{a} libgl1-mesa-dev{a} libgl1-mesa-dri{a} libgl2ps1.4{a} libglapi-mesa{a} libgles1{a} libgles2{a} libglib2.0-0{a} libglpk40{a} libglu1-mesa{a} libglvnd-core-dev{a} libglvnd-dev{a} libglvnd0{a} libglx-mesa0{a} libglx0{a} libgraphicsmagick++-q16-12{a} libgraphicsmagick-q16-3{a} libgraphite2-3{a} libgssapi-krb5-2{a} libgudev-1.0-0{a} libharfbuzz0b{a} libhash-merge-perl{a} libhdf5-103{a} libhdf5-cpp-103{a} libhdf5-dev{a} libhtml-parser-perl{a} libhtml-tagset-perl{a} libhtml-tree-perl{a} libhttp-cookies-perl{a} libhttp-date-perl{a} libhttp-message-perl{a} libhttp-negotiate-perl{a} libice6{a} libicu63{a} libinput-bin{a} libinput10{a} libio-html-perl{a} libio-socket-ssl-perl{a} libio-stringy-perl{a} libio-tiecombine-perl{a} libjack-jackd2-0{a} libjbig0{a} libjpeg-dev{a} libjpeg62-turbo{a} libjpeg62-turbo-dev{a} libjson-perl{a} libk5crypto3{a} libkeyutils1{a} libklu1{a} libkrb5-3{a} libkrb5support0{a} liblapack-dev{a} liblapack3{a} liblcms2-2{a} libldap-2.4-2{a} libldap-common{a} liblist-moreutils-perl{a} libllvm7{a} liblog-log4perl-perl{a} libltdl7{a} liblua5.3-0{a} liblwp-mediatypes-perl{a} liblwp-protocol-https-perl{a} libmagic-mgc{a} libmagic1{a} libmailtools-perl{a} libmetis5{a} libmime-tools-perl{a} libmodule-implementation-perl{a} libmodule-pluggable-perl{a} libmodule-runtime-perl{a} libmouse-perl{a} libmousex-nativetraits-perl{a} libmousex-strictconstructor-perl{a} libmpdec2{a} libmtdev1{a} libncurses-dev{a} libncurses6{a} libnet-http-perl{a} libnet-smtp-ssl-perl{a} libnet-ssleay-perl{a} libnghttp2-14{a} liboctave-dev{a} liboctave6{a} libogg0{a} libopengl0{a} libopus0{a} libpackage-stash-perl{a} libpango-1.0-0{a} libpangocairo-1.0-0{a} libpangoft2-1.0-0{a} libparams-classify-perl{a} libparams-util-perl{a} libparams-validate-perl{a} libparse-debcontrol-perl{a} libparse-recdescent-perl{a} libpath-tiny-perl{a} libpcre2-16-0{a} libpipeline1{a} libpixman-1-0{a} libpng16-16{a} libpod-pom-perl{a} libportaudio2{a} libpsl5{a} libpthread-stubs0-dev{a} libpython3-stdlib{a} libpython3.7-minimal{a} libpython3.7-stdlib{a} libqhull7{a} libqrupdate1{a} libqscintilla2-qt5-13{a} libqscintilla2-qt5-l10n{a} libqt5core5a{a} libqt5dbus5{a} libqt5gui5{a} libqt5help5{a} libqt5network5{a} libqt5opengl5{a} libqt5printsupport5{a} libqt5sql5{a} libqt5widgets5{a} libreadline-dev{a} libreadline7{a} libregexp-common-perl{a} librtmp1{a} libsamplerate0{a} libsasl2-2{a} libsasl2-modules-db{a} libsensors-config{a} libsensors5{a} libsigsegv2{a} libsm6{a} libsndfile1{a} libssh2-1{a} libssl1.1{a} libstring-rewriteprefix-perl{a} libsub-exporter-perl{a} libsub-install-perl{a} libsuitesparseconfig5{a} libsz2{a} libtext-unidecode-perl{a} libthai-data{a} libthai0{a} libtiff5{a} libtimedate-perl{a} libtool{a} libtry-tiny-perl{a} libuchardet0{a} libumfpack5{a} liburi-perl{a} libvorbis0a{a} libvorbisenc2{a} libwacom-common{a} libwacom2{a} libwayland-client0{a} libwayland-server0{a} libwebp6{a} libwebpmux3{a} libwmf0.2-7{a} libwww-perl{a} libwww-robotrules-perl{a} libx11-6{a} libx11-data{a} libx11-dev{a} libx11-xcb-dev{a} libx11-xcb1{a} libxau-dev{a} libxau6{a} libxcb-dri2-0{a} libxcb-dri2-0-dev{a} libxcb-dri3-0{a} libxcb-dri3-dev{a} libxcb-glx0{a} libxcb-glx0-dev{a} libxcb-icccm4{a} libxcb-image0{a} libxcb-keysyms1{a} libxcb-present-dev{a} libxcb-present0{a} libxcb-randr0{a} libxcb-randr0-dev{a} libxcb-render-util0{a} libxcb-render0{a} libxcb-render0-dev{a} libxcb-shape0{a} libxcb-shape0-dev{a} libxcb-shm0{a} libxcb-sync-dev{a} libxcb-sync1{a} libxcb-util0{a} libxcb-xfixes0{a} libxcb-xfixes0-dev{a} libxcb-xinerama0{a} libxcb-xkb1{a} libxcb1{a} libxcb1-dev{a} libxcursor1{a} libxdamage-dev{a} libxdamage1{a} libxdmcp-dev{a} libxdmcp6{a} libxext-dev{a} libxext6{a} libxfixes-dev{a} libxfixes3{a} libxft2{a} libxi6{a} libxinerama1{a} libxkbcommon-x11-0{a} libxkbcommon0{a} libxml-libxml-perl{a} libxml-namespacesupport-perl{a} libxml-sax-base-perl{a} libxml-sax-perl{a} libxml2{a} libxpm4{a} libxrender1{a} libxshmfence-dev{a} libxshmfence1{a} libxxf86vm-dev{a} libxxf86vm1{a} libyaml-perl{a} lsb-base{a} m4{a} man-db{a} mesa-common-dev{a} mime-support{a} netbase{a} octave{a} octave-common{a} openssl{a} perl-openssl-defaults{a} po-debconf{a} python3{a} python3-minimal{a} python3-mpmath{a} python3-sympy{a} python3.7{a} python3.7-minimal{a} readline-common{a} sensible-utils{a} tex-common{a} texinfo{a} ucf{a} x11-common{a} x11proto-core-dev{a} x11proto-damage-dev{a} x11proto-dev{a} x11proto-fixes-dev{a} x11proto-xext-dev{a} x11proto-xf86vidmode-dev{a} xkb-data{a} xorg-sgml-doctools{a} xtrans-dev{a} zlib1g-dev{a} The following packages are RECOMMENDED but will NOT be installed: bash-completion curl dbus default-jre-headless epstool fonts-liberation ghostscript groff gsfonts ipython3 krb5-locales libarchive-cpio-perl libatlas3-base libauthen-sasl-perl libclass-method-modifiers-perl libclone-perl libclone-pp-perl libconfig-model-approx-perl libconfig-model-dpkg-perl libconfig-model-lcdproc-perl libconfig-model-openssh-perl libconfig-model-systemd-perl libconfig-model-tkui-perl libdata-dump-perl libfuse-perl libglib2.0-data libgpm2 libhtml-form-perl libhtml-format-perl libhttp-daemon-perl libipc-shareable-perl libjson-xs-perl liblog-dispatch-perl libltdl-dev libmail-sendmail-perl libopenblas-base libpackage-stash-xs-perl libqt5sql5-ibase libqt5sql5-mysql libqt5sql5-odbc libqt5sql5-psql libqt5sql5-sqlite libqt5sql5-tds libqt5svg5 libsasl2-modules libtext-levenshtein-damerau-perl libtie-ixhash-perl libunicode-utf8-perl libwacom-bin libxml-sax-expat-perl libyaml-libyaml-perl libyaml-syck-perl lynx octave-doc pstoedit publicsuffix python3-numpy python3-pil qt5-gtk-platformtheme qttranslations5-l10n shared-mime-info wget xdg-user-dirs 0 packages upgraded, 361 newly installed, 0 to remove and 0 not upgraded. Need to get 123 MB of archives. After unpacking 661 MB will be used. Writing extended state information... Get: 1 http://deb.debian.org/debian buster/main arm64 libbsd0 arm64 0.9.1-2 [97.4 kB] Get: 2 http://deb.debian.org/debian buster/main arm64 bsdmainutils arm64 11.1.2+b1 [185 kB] Get: 3 http://deb.debian.org/debian buster/main arm64 libuchardet0 arm64 0.0.6-3 [65.0 kB] Get: 4 http://deb.debian.org/debian buster/main arm64 groff-base arm64 1.22.4-3 [869 kB] Get: 5 http://deb.debian.org/debian buster/main arm64 libpipeline1 arm64 1.5.1-2 [29.8 kB] Get: 6 http://deb.debian.org/debian buster/main arm64 man-db arm64 2.8.5-2 [1258 kB] Get: 7 http://deb.debian.org/debian buster/main arm64 libssl1.1 arm64 1.1.1d-0+deb10u3 [1382 kB] Get: 8 http://deb.debian.org/debian buster/main arm64 libpython3.7-minimal arm64 3.7.3-2+deb10u2 [588 kB] Get: 9 http://deb.debian.org/debian buster/main arm64 libexpat1 arm64 2.2.6-2+deb10u1 [85.4 kB] Get: 10 http://deb.debian.org/debian buster/main arm64 python3.7-minimal arm64 3.7.3-2+deb10u2 [1404 kB] Get: 11 http://deb.debian.org/debian buster/main arm64 python3-minimal arm64 3.7.3-1 [36.6 kB] Get: 12 http://deb.debian.org/debian buster/main arm64 mime-support all 3.62 [37.2 kB] Get: 13 http://deb.debian.org/debian buster/main arm64 libmpdec2 arm64 2.4.2-2 [77.7 kB] Get: 14 http://deb.debian.org/debian buster/main arm64 readline-common all 7.0-5 [70.6 kB] Get: 15 http://deb.debian.org/debian buster/main arm64 libreadline7 arm64 7.0-5 [134 kB] Get: 16 http://deb.debian.org/debian buster/main arm64 libpython3.7-stdlib arm64 3.7.3-2+deb10u2 [1641 kB] Get: 17 http://deb.debian.org/debian buster/main arm64 python3.7 arm64 3.7.3-2+deb10u2 [330 kB] Get: 18 http://deb.debian.org/debian buster/main arm64 libpython3-stdlib arm64 3.7.3-1 [20.0 kB] Get: 19 http://deb.debian.org/debian buster/main arm64 python3 arm64 3.7.3-1 [61.5 kB] Get: 20 http://deb.debian.org/debian buster/main arm64 sensible-utils all 0.0.12 [15.8 kB] Get: 21 http://deb.debian.org/debian buster/main arm64 ucf all 3.0038+nmu1 [69.0 kB] Get: 22 http://deb.debian.org/debian buster/main arm64 tex-common all 6.11 [53.1 kB] Get: 23 http://deb.debian.org/debian buster/main arm64 netbase all 5.6 [19.4 kB] Get: 24 http://deb.debian.org/debian buster/main arm64 libmagic-mgc arm64 1:5.35-4+deb10u1 [242 kB] Get: 25 http://deb.debian.org/debian buster/main arm64 libmagic1 arm64 1:5.35-4+deb10u1 [115 kB] Get: 26 http://deb.debian.org/debian buster/main arm64 file arm64 1:5.35-4+deb10u1 [66.4 kB] Get: 27 http://deb.debian.org/debian buster/main arm64 gettext-base arm64 0.19.8.1-9 [120 kB] Get: 28 http://deb.debian.org/debian buster/main arm64 aglfn all 1.7-3 [29.2 kB] Get: 29 http://deb.debian.org/debian buster/main arm64 libsigsegv2 arm64 2.12-2 [32.3 kB] Get: 30 http://deb.debian.org/debian buster/main arm64 m4 arm64 1.4.18-2 [198 kB] Get: 31 http://deb.debian.org/debian buster/main arm64 autoconf all 2.69-11 [341 kB] Get: 32 http://deb.debian.org/debian buster/main arm64 autotools-dev all 20180224.1 [77.0 kB] Get: 33 http://deb.debian.org/debian buster/main arm64 automake all 1:1.16.1-4 [771 kB] Get: 34 http://deb.debian.org/debian buster/main arm64 autopoint all 0.19.8.1-9 [434 kB] Get: 35 http://deb.debian.org/debian buster/main arm64 openssl arm64 1.1.1d-0+deb10u3 [823 kB] Get: 36 http://deb.debian.org/debian buster/main arm64 ca-certificates all 20190110 [157 kB] Get: 37 http://deb.debian.org/debian buster/main arm64 libcapture-tiny-perl all 0.48-1 [26.0 kB] Get: 38 http://deb.debian.org/debian buster/main arm64 libparams-util-perl arm64 1.07-3+b4 [22.5 kB] Get: 39 http://deb.debian.org/debian buster/main arm64 libsub-install-perl all 0.928-1 [11.4 kB] Get: 40 http://deb.debian.org/debian buster/main arm64 libdata-optlist-perl all 0.110-1 [10.6 kB] Get: 41 http://deb.debian.org/debian buster/main arm64 libb-hooks-op-check-perl arm64 0.22-1+b1 [11.4 kB] Get: 42 http://deb.debian.org/debian buster/main arm64 libdynaloader-functions-perl all 0.003-1 [12.6 kB] Get: 43 http://deb.debian.org/debian buster/main arm64 libdevel-callchecker-perl arm64 0.008-1 [15.6 kB] Get: 44 http://deb.debian.org/debian buster/main arm64 libparams-classify-perl arm64 0.015-1+b1 [25.4 kB] Get: 45 http://deb.debian.org/debian buster/main arm64 libmodule-runtime-perl all 0.016-1 [19.4 kB] Get: 46 http://deb.debian.org/debian buster/main arm64 libtry-tiny-perl all 0.30-1 [23.3 kB] Get: 47 http://deb.debian.org/debian buster/main arm64 libmodule-implementation-perl all 0.09-1 [12.9 kB] Get: 48 http://deb.debian.org/debian buster/main arm64 libpackage-stash-perl all 0.38-1 [21.7 kB] Get: 49 http://deb.debian.org/debian buster/main arm64 libclass-load-perl all 0.25-1 [16.1 kB] Get: 50 http://deb.debian.org/debian buster/main arm64 libio-stringy-perl all 2.111-3 [56.5 kB] Get: 51 http://deb.debian.org/debian buster/main arm64 libparams-validate-perl arm64 1.29-1+b1 [66.3 kB] Get: 52 http://deb.debian.org/debian buster/main arm64 libsub-exporter-perl all 0.987-1 [47.2 kB] Get: 53 http://deb.debian.org/debian buster/main arm64 libgetopt-long-descriptive-perl all 0.103-2 [27.8 kB] Get: 54 http://deb.debian.org/debian buster/main arm64 libio-tiecombine-perl all 1.005-1 [13.0 kB] Get: 55 http://deb.debian.org/debian buster/main arm64 libmodule-pluggable-perl all 5.2-1 [25.7 kB] Get: 56 http://deb.debian.org/debian buster/main arm64 libstring-rewriteprefix-perl all 0.007-2 [6448 B] Get: 57 http://deb.debian.org/debian buster/main arm64 libapp-cmd-perl all 0.331-1 [63.9 kB] Get: 58 http://deb.debian.org/debian buster/main arm64 libboolean-perl all 0.46-1 [11.1 kB] Get: 59 http://deb.debian.org/debian buster/main arm64 libcarp-assert-perl all 0.21-1 [18.2 kB] Get: 60 http://deb.debian.org/debian buster/main arm64 libcarp-assert-more-perl all 1.16-1 [15.6 kB] Get: 61 http://deb.debian.org/debian buster/main arm64 libfile-which-perl all 1.23-1 [16.6 kB] Get: 62 http://deb.debian.org/debian buster/main arm64 libfile-homedir-perl all 1.004-1 [42.7 kB] Get: 63 http://deb.debian.org/debian buster/main arm64 libclone-choose-perl all 0.010-1 [8424 B] Get: 64 http://deb.debian.org/debian buster/main arm64 libhash-merge-perl all 0.300-1 [14.3 kB] Get: 65 http://deb.debian.org/debian buster/main arm64 libjson-perl all 4.02000-1 [88.8 kB] Get: 66 http://deb.debian.org/debian buster/main arm64 libexporter-tiny-perl all 1.002001-1 [36.9 kB] Get: 67 http://deb.debian.org/debian buster/main arm64 liblist-moreutils-perl arm64 0.416-1+b4 [62.4 kB] Get: 68 http://deb.debian.org/debian buster/main arm64 liblog-log4perl-perl all 1.49-1 [377 kB] Get: 69 http://deb.debian.org/debian buster/main arm64 libmouse-perl arm64 2.5.6-1+b1 [170 kB] Get: 70 http://deb.debian.org/debian buster/main arm64 libmousex-nativetraits-perl all 1.09-2 [67.4 kB] Get: 71 http://deb.debian.org/debian buster/main arm64 libmousex-strictconstructor-perl all 0.02-2 [4996 B] Get: 72 http://deb.debian.org/debian buster/main arm64 libparse-recdescent-perl all 1.967015+dfsg-2 [159 kB] Get: 73 http://deb.debian.org/debian buster/main arm64 libpath-tiny-perl all 0.108-1 [53.3 kB] Get: 74 http://deb.debian.org/debian buster/main arm64 libpod-pom-perl all 2.01-3 [67.0 kB] Get: 75 http://deb.debian.org/debian buster/main arm64 libregexp-common-perl all 2017060201-1 [177 kB] Get: 76 http://deb.debian.org/debian buster/main arm64 libconfig-model-perl all 2.133-1 [456 kB] Get: 77 http://deb.debian.org/debian buster/main arm64 libyaml-perl all 1.27-1 [66.8 kB] Get: 78 http://deb.debian.org/debian buster/main arm64 cme all 1.029-1 [81.0 kB] Get: 79 http://deb.debian.org/debian buster/main arm64 libtool all 2.4.6-9 [547 kB] Get: 80 http://deb.debian.org/debian buster/main arm64 dh-autoreconf all 19 [16.9 kB] Get: 81 http://deb.debian.org/debian buster/main arm64 libarchive-zip-perl all 1.64-1 [96.8 kB] Get: 82 http://deb.debian.org/debian buster/main arm64 libfile-stripnondeterminism-perl all 1.1.2-1 [19.8 kB] Get: 83 http://deb.debian.org/debian buster/main arm64 dh-strip-nondeterminism all 1.1.2-1 [13.0 kB] Get: 84 http://deb.debian.org/debian buster/main arm64 libelf1 arm64 0.176-1.1 [160 kB] Get: 85 http://deb.debian.org/debian buster/main arm64 dwz arm64 0.12-3 [71.7 kB] Get: 86 http://deb.debian.org/debian buster/main arm64 libglib2.0-0 arm64 2.58.3-2+deb10u2 [1185 kB] Get: 87 http://deb.debian.org/debian buster/main arm64 libicu63 arm64 63.1-6+deb10u1 [8151 kB] Get: 88 http://deb.debian.org/debian buster/main arm64 libxml2 arm64 2.9.4+dfsg1-7+b3 [623 kB] Get: 89 http://deb.debian.org/debian buster/main arm64 libcroco3 arm64 0.6.12-3 [140 kB] Get: 90 http://deb.debian.org/debian buster/main arm64 libncurses6 arm64 6.1+20181013-2+deb10u2 [92.6 kB] Get: 91 http://deb.debian.org/debian buster/main arm64 gettext arm64 0.19.8.1-9 [1261 kB] Get: 92 http://deb.debian.org/debian buster/main arm64 intltool-debian all 0.35.0+20060710.5 [26.8 kB] Get: 93 http://deb.debian.org/debian buster/main arm64 po-debconf all 1.0.21 [248 kB] Get: 94 http://deb.debian.org/debian buster/main arm64 debhelper all 12.1.1 [1016 kB] Get: 95 http://deb.debian.org/debian buster/main arm64 libsuitesparseconfig5 arm64 1:5.4.0+dfsg-1 [20.7 kB] Get: 96 http://deb.debian.org/debian buster/main arm64 libamd2 arm64 1:5.4.0+dfsg-1 [30.7 kB] Get: 97 http://deb.debian.org/debian buster/main arm64 libgfortran5 arm64 8.3.0-6 [298 kB] Get: 98 http://deb.debian.org/debian buster/main arm64 libblas3 arm64 3.8.0-2 [100 kB] Get: 99 http://deb.debian.org/debian buster/main arm64 liblapack3 arm64 3.8.0-2 [1489 kB] Get: 100 http://deb.debian.org/debian buster/main arm64 libarpack2 arm64 3.7.0-2 [81.7 kB] Get: 101 http://deb.debian.org/debian buster/main arm64 libcamd2 arm64 1:5.4.0+dfsg-1 [31.8 kB] Get: 102 http://deb.debian.org/debian buster/main arm64 libccolamd2 arm64 1:5.4.0+dfsg-1 [34.2 kB] Get: 103 http://deb.debian.org/debian buster/main arm64 libcolamd2 arm64 1:5.4.0+dfsg-1 [29.2 kB] Get: 104 http://deb.debian.org/debian buster/main arm64 libmetis5 arm64 5.1.0.dfsg-5+b2 [146 kB] Get: 105 http://deb.debian.org/debian buster/main arm64 libcholmod3 arm64 1:5.4.0+dfsg-1 [281 kB] Get: 106 http://deb.debian.org/debian buster/main arm64 libkeyutils1 arm64 1.6-6 [14.9 kB] Get: 107 http://deb.debian.org/debian buster/main arm64 libkrb5support0 arm64 1.17-3 [64.7 kB] Get: 108 http://deb.debian.org/debian buster/main arm64 libk5crypto3 arm64 1.17-3 [122 kB] Get: 109 http://deb.debian.org/debian buster/main arm64 libkrb5-3 arm64 1.17-3 [353 kB] Get: 110 http://deb.debian.org/debian buster/main arm64 libgssapi-krb5-2 arm64 1.17-3 [150 kB] Get: 111 http://deb.debian.org/debian buster/main arm64 libsasl2-modules-db arm64 2.1.27+dfsg-1+deb10u1 [69.3 kB] Get: 112 http://deb.debian.org/debian buster/main arm64 libsasl2-2 arm64 2.1.27+dfsg-1+deb10u1 [105 kB] Get: 113 http://deb.debian.org/debian buster/main arm64 libldap-common all 2.4.47+dfsg-3+deb10u2 [89.7 kB] Get: 114 http://deb.debian.org/debian buster/main arm64 libldap-2.4-2 arm64 2.4.47+dfsg-3+deb10u2 [216 kB] Get: 115 http://deb.debian.org/debian buster/main arm64 libnghttp2-14 arm64 1.36.0-2+deb10u1 [81.9 kB] Get: 116 http://deb.debian.org/debian buster/main arm64 libpsl5 arm64 0.20.2-2 [53.6 kB] Get: 117 http://deb.debian.org/debian buster/main arm64 librtmp1 arm64 2.4+20151223.gitfa8646d.1-2 [55.7 kB] Get: 118 http://deb.debian.org/debian buster/main arm64 libssh2-1 arm64 1.8.0-2.1 [135 kB] Get: 119 http://deb.debian.org/debian buster/main arm64 libcurl3-gnutls arm64 7.64.0-4+deb10u1 [310 kB] Get: 120 http://deb.debian.org/debian buster/main arm64 libcxsparse3 arm64 1:5.4.0+dfsg-1 [69.1 kB] Get: 121 http://deb.debian.org/debian buster/main arm64 libfftw3-double3 arm64 3.3.8-2 [385 kB] Get: 122 http://deb.debian.org/debian buster/main arm64 libfftw3-single3 arm64 3.3.8-2 [630 kB] Get: 123 http://deb.debian.org/debian buster/main arm64 libpng16-16 arm64 1.6.36-6 [287 kB] Get: 124 http://deb.debian.org/debian buster/main arm64 libfreetype6 arm64 2.9.1-3+deb10u1 [355 kB] Get: 125 http://deb.debian.org/debian buster/main arm64 fonts-dejavu-core all 2.37-1 [1068 kB] Get: 126 http://deb.debian.org/debian buster/main arm64 fontconfig-config all 2.13.1-2 [280 kB] Get: 127 http://deb.debian.org/debian buster/main arm64 libfontconfig1 arm64 2.13.1-2 [343 kB] Get: 128 http://deb.debian.org/debian buster/main arm64 libglvnd0 arm64 1.1.0-1 [42.4 kB] Get: 129 http://deb.debian.org/debian buster/main arm64 libxau6 arm64 1:1.0.8-1+b2 [19.3 kB] Get: 130 http://deb.debian.org/debian buster/main arm64 libxdmcp6 arm64 1:1.1.2-3 [25.4 kB] Get: 131 http://deb.debian.org/debian buster/main arm64 libxcb1 arm64 1.13.1-2 [135 kB] Get: 132 http://deb.debian.org/debian buster/main arm64 libx11-data all 2:1.6.7-1 [298 kB] Get: 133 http://deb.debian.org/debian buster/main arm64 libx11-6 arm64 2:1.6.7-1 [735 kB] Get: 134 http://deb.debian.org/debian buster/main arm64 libxext6 arm64 2:1.3.3-1+b2 [48.6 kB] Get: 135 http://deb.debian.org/debian buster/main arm64 libdrm-common all 2.4.97-1 [13.8 kB] Get: 136 http://deb.debian.org/debian buster/main arm64 libdrm2 arm64 2.4.97-1 [39.5 kB] Get: 137 http://deb.debian.org/debian buster/main arm64 libglapi-mesa arm64 18.3.6-2+deb10u1 [74.8 kB] Get: 138 http://deb.debian.org/debian buster/main arm64 libx11-xcb1 arm64 2:1.6.7-1 [190 kB] Get: 139 http://deb.debian.org/debian buster/main arm64 libxcb-dri2-0 arm64 1.13.1-2 [101 kB] Get: 140 http://deb.debian.org/debian buster/main arm64 libxcb-dri3-0 arm64 1.13.1-2 [100 kB] Get: 141 http://deb.debian.org/debian buster/main arm64 libxcb-glx0 arm64 1.13.1-2 [116 kB] Get: 142 http://deb.debian.org/debian buster/main arm64 libxcb-present0 arm64 1.13.1-2 [99.1 kB] Get: 143 http://deb.debian.org/debian buster/main arm64 libxcb-sync1 arm64 1.13.1-2 [102 kB] Get: 144 http://deb.debian.org/debian buster/main arm64 libxfixes3 arm64 1:5.0.3-1 [21.0 kB] Get: 145 http://deb.debian.org/debian buster/main arm64 libxdamage1 arm64 1:1.1.4-3+b3 [14.8 kB] Get: 146 http://deb.debian.org/debian buster/main arm64 libxshmfence1 arm64 1.3-1 [8712 B] Get: 147 http://deb.debian.org/debian buster/main arm64 libxxf86vm1 arm64 1:1.1.4-1+b2 [20.1 kB] Get: 148 http://deb.debian.org/debian buster/main arm64 libdrm-amdgpu1 arm64 2.4.97-1 [26.6 kB] Get: 149 http://deb.debian.org/debian buster/main arm64 libdrm-etnaviv1 arm64 2.4.97-1 [21.0 kB] Get: 150 http://deb.debian.org/debian buster/main arm64 libdrm-nouveau2 arm64 2.4.97-1 [25.5 kB] Get: 151 http://deb.debian.org/debian buster/main arm64 libdrm-radeon1 arm64 2.4.97-1 [30.0 kB] Get: 152 http://deb.debian.org/debian buster/main arm64 libedit2 arm64 3.1-20181209-1 [91.2 kB] Get: 153 http://deb.debian.org/debian buster/main arm64 libllvm7 arm64 1:7.0.1-8 [10.8 MB] Get: 154 http://deb.debian.org/debian buster/main arm64 libsensors-config all 1:3.5.0-3 [31.6 kB] Get: 155 http://deb.debian.org/debian buster/main arm64 libsensors5 arm64 1:3.5.0-3 [51.8 kB] Get: 156 http://deb.debian.org/debian buster/main arm64 libgl1-mesa-dri arm64 18.3.6-2+deb10u1 [4910 kB] Get: 157 http://deb.debian.org/debian buster/main arm64 libglx-mesa0 arm64 18.3.6-2+deb10u1 [180 kB] Get: 158 http://deb.debian.org/debian buster/main arm64 libglx0 arm64 1.1.0-1 [29.0 kB] Get: 159 http://deb.debian.org/debian buster/main arm64 libgl1 arm64 1.1.0-1 [92.5 kB] Get: 160 http://deb.debian.org/debian buster/main arm64 libgl2ps1.4 arm64 1.4.0+dfsg1-2 [33.5 kB] Get: 161 http://deb.debian.org/debian buster/main arm64 libglu1-mesa arm64 9.0.0-2.1+b3 [146 kB] Get: 162 http://deb.debian.org/debian buster/main arm64 libjbig0 arm64 2.1-3.1+b2 [27.8 kB] Get: 163 http://deb.debian.org/debian buster/main arm64 libjpeg62-turbo arm64 1:1.5.2-2+b1 [115 kB] Get: 164 http://deb.debian.org/debian buster/main arm64 libwebp6 arm64 0.6.1-2 [233 kB] Get: 165 http://deb.debian.org/debian buster/main arm64 libtiff5 arm64 4.1.0+git191117-2~deb10u1 [259 kB] Get: 166 http://deb.debian.org/debian buster/main arm64 lsb-base all 10.2019051400 [28.4 kB] Get: 167 http://deb.debian.org/debian buster/main arm64 x11-common all 1:7.7+19 [251 kB] Get: 168 http://deb.debian.org/debian buster/main arm64 libice6 arm64 2:1.0.9-2 [52.0 kB] Get: 169 http://deb.debian.org/debian buster/main arm64 liblcms2-2 arm64 2.9-3 [137 kB] Get: 170 http://deb.debian.org/debian buster/main arm64 libsm6 arm64 2:1.2.3-1 [34.0 kB] Get: 171 http://deb.debian.org/debian buster/main arm64 libwebpmux3 arm64 0.6.1-2 [95.4 kB] Get: 172 http://deb.debian.org/debian buster/main arm64 libwmf0.2-7 arm64 0.2.8.4-14 [152 kB] Get: 173 http://deb.debian.org/debian buster/main arm64 libgraphicsmagick-q16-3 arm64 1.4+really1.3.35-1~deb10u1 [1023 kB] Get: 174 http://deb.debian.org/debian buster/main arm64 libgraphicsmagick++-q16-12 arm64 1.4+really1.3.35-1~deb10u1 [122 kB] Get: 175 http://deb.debian.org/debian buster/main arm64 libaec0 arm64 1.0.2-1 [18.8 kB] Get: 176 http://deb.debian.org/debian buster/main arm64 libsz2 arm64 1.0.2-1 [6456 B] Get: 177 http://deb.debian.org/debian buster/main arm64 libhdf5-103 arm64 1.10.4+repack-10 [1168 kB] Get: 178 http://deb.debian.org/debian buster/main arm64 libqrupdate1 arm64 1.1.2-3 [31.5 kB] Get: 179 http://deb.debian.org/debian buster/main arm64 libumfpack5 arm64 1:5.4.0+dfsg-1 [197 kB] Get: 180 http://deb.debian.org/debian buster/main arm64 liboctave6 arm64 4.4.1-5 [6295 kB] Get: 181 http://deb.debian.org/debian buster/main arm64 libasound2-data all 1.1.8-1 [59.6 kB] Get: 182 http://deb.debian.org/debian buster/main arm64 libasound2 arm64 1.1.8-1 [333 kB] Get: 183 http://deb.debian.org/debian buster/main arm64 libxrender1 arm64 1:0.9.10-1 [30.4 kB] Get: 184 http://deb.debian.org/debian buster/main arm64 libxcursor1 arm64 1:1.1.15-2 [36.0 kB] Get: 185 http://deb.debian.org/debian buster/main arm64 libxft2 arm64 2.3.2-2 [51.3 kB] Get: 186 http://deb.debian.org/debian buster/main arm64 libxinerama1 arm64 2:1.1.4-2 [17.7 kB] Get: 187 http://deb.debian.org/debian buster/main arm64 libfltk1.3 arm64 1.3.4-9 [523 kB] Get: 188 http://deb.debian.org/debian buster/main arm64 libfltk-gl1.3 arm64 1.3.4-9 [70.0 kB] Get: 189 http://deb.debian.org/debian buster/main arm64 libltdl7 arm64 2.4.6-9 [389 kB] Get: 190 http://deb.debian.org/debian buster/main arm64 libglpk40 arm64 4.65-2 [336 kB] Get: 191 http://deb.debian.org/debian buster/main arm64 libbtf1 arm64 1:5.4.0+dfsg-1 [22.1 kB] Get: 192 http://deb.debian.org/debian buster/main arm64 libklu1 arm64 1:5.4.0+dfsg-1 [71.8 kB] Get: 193 http://deb.debian.org/debian buster/main arm64 libopus0 arm64 1.3-1 [171 kB] Get: 194 http://deb.debian.org/debian buster/main arm64 libsamplerate0 arm64 0.1.9-2 [942 kB] Get: 195 http://deb.debian.org/debian buster/main arm64 libjack-jackd2-0 arm64 1.9.12~dfsg-2 [286 kB] Get: 196 http://deb.debian.org/debian buster/main arm64 libportaudio2 arm64 19.6.0-1 [54.9 kB] Get: 197 http://deb.debian.org/debian buster/main arm64 libqhull7 arm64 2015.2-4 [175 kB] Get: 198 http://deb.debian.org/debian buster/main arm64 libqscintilla2-qt5-l10n all 2.10.4+dfsg-2.1 [53.7 kB] Get: 199 http://deb.debian.org/debian buster/main arm64 libdouble-conversion1 arm64 3.1.0-3 [36.0 kB] Get: 200 http://deb.debian.org/debian buster/main arm64 libpcre2-16-0 arm64 10.32-5 [176 kB] Get: 201 http://deb.debian.org/debian buster/main arm64 libqt5core5a arm64 5.11.3+dfsg1-1+deb10u3 [1796 kB] Get: 202 http://deb.debian.org/debian buster/main arm64 fontconfig arm64 2.13.1-2 [405 kB] Get: 203 http://deb.debian.org/debian buster/main arm64 libwayland-server0 arm64 1.16.0-1 [31.8 kB] Get: 204 http://deb.debian.org/debian buster/main arm64 libgbm1 arm64 18.3.6-2+deb10u1 [67.1 kB] Get: 205 http://deb.debian.org/debian buster/main arm64 libwayland-client0 arm64 1.16.0-1 [25.9 kB] Get: 206 http://deb.debian.org/debian buster/main arm64 libxcb-xfixes0 arm64 1.13.1-2 [103 kB] Get: 207 http://deb.debian.org/debian buster/main arm64 libegl-mesa0 arm64 18.3.6-2+deb10u1 [130 kB] Get: 208 http://deb.debian.org/debian buster/main arm64 libegl1 arm64 1.1.0-1 [32.8 kB] Get: 209 http://deb.debian.org/debian buster/main arm64 libgraphite2-3 arm64 1.3.13-7 [75.8 kB] Get: 210 http://deb.debian.org/debian buster/main arm64 libharfbuzz0b arm64 2.3.1-1 [1155 kB] Get: 211 http://deb.debian.org/debian buster/main arm64 libevdev2 arm64 1.6.0+dfsg-1 [29.2 kB] Get: 212 http://deb.debian.org/debian buster/main arm64 libmtdev1 arm64 1.1.5-1+b1 [21.3 kB] Get: 213 http://deb.debian.org/debian buster/main arm64 libgudev-1.0-0 arm64 232-2 [11.6 kB] Get: 214 http://deb.debian.org/debian buster/main arm64 libwacom-common all 0.32-1 [39.1 kB] Get: 215 http://deb.debian.org/debian buster/main arm64 libwacom2 arm64 0.32-1 [17.9 kB] Get: 216 http://deb.debian.org/debian buster/main arm64 libinput-bin arm64 1.12.6-2+deb10u1 [17.1 kB] Get: 217 http://deb.debian.org/debian buster/main arm64 libinput10 arm64 1.12.6-2+deb10u1 [97.8 kB] Get: 218 http://deb.debian.org/debian buster/main arm64 libdbus-1-3 arm64 1.12.20-0+deb10u1 [206 kB] Get: 219 http://deb.debian.org/debian buster/main arm64 libqt5dbus5 arm64 5.11.3+dfsg1-1+deb10u3 [217 kB] Get: 220 http://deb.debian.org/debian buster/main arm64 libqt5network5 arm64 5.11.3+dfsg1-1+deb10u3 [631 kB] Get: 221 http://deb.debian.org/debian buster/main arm64 libxcb-icccm4 arm64 0.4.1-1.1 [26.9 kB] Get: 222 http://deb.debian.org/debian buster/main arm64 libxcb-shm0 arm64 1.13.1-2 [99.3 kB] Get: 223 http://deb.debian.org/debian buster/main arm64 libxcb-util0 arm64 0.3.8-3+b2 [22.5 kB] Get: 224 http://deb.debian.org/debian buster/main arm64 libxcb-image0 arm64 0.4.0-1+b2 [23.2 kB] Get: 225 http://deb.debian.org/debian buster/main arm64 libxcb-keysyms1 arm64 0.4.0-1+b2 [16.0 kB] Get: 226 http://deb.debian.org/debian buster/main arm64 libxcb-randr0 arm64 1.13.1-2 [110 kB] Get: 227 http://deb.debian.org/debian buster/main arm64 libxcb-render0 arm64 1.13.1-2 [108 kB] Get: 228 http://deb.debian.org/debian buster/main arm64 libxcb-render-util0 arm64 0.3.9-1+b1 [17.5 kB] Get: 229 http://deb.debian.org/debian buster/main arm64 libxcb-shape0 arm64 1.13.1-2 [99.6 kB] Get: 230 http://deb.debian.org/debian buster/main arm64 libxcb-xinerama0 arm64 1.13.1-2 [98.9 kB] Get: 231 http://deb.debian.org/debian buster/main arm64 libxcb-xkb1 arm64 1.13.1-2 [122 kB] Get: 232 http://deb.debian.org/debian buster/main arm64 libxi6 arm64 2:1.7.9-1 [79.0 kB] Get: 233 http://deb.debian.org/debian buster/main arm64 xkb-data all 2.26-2 [681 kB] Get: 234 http://deb.debian.org/debian buster/main arm64 libxkbcommon0 arm64 0.8.2-1 [118 kB] Get: 235 http://deb.debian.org/debian buster/main arm64 libxkbcommon-x11-0 arm64 0.8.2-1 [39.0 kB] Get: 236 http://deb.debian.org/debian buster/main arm64 libqt5gui5 arm64 5.11.3+dfsg1-1+deb10u3 [2577 kB] Get: 237 http://deb.debian.org/debian buster/main arm64 libavahi-common-data arm64 0.7-4+b1 [122 kB] Get: 238 http://deb.debian.org/debian buster/main arm64 libavahi-common3 arm64 0.7-4+b1 [53.5 kB] Get: 239 http://deb.debian.org/debian buster/main arm64 libavahi-client3 arm64 0.7-4+b1 [56.8 kB] Get: 240 http://deb.debian.org/debian buster/main arm64 libcups2 arm64 2.2.10-6+deb10u3 [310 kB] Get: 241 http://deb.debian.org/debian buster/main arm64 libqt5widgets5 arm64 5.11.3+dfsg1-1+deb10u3 [2141 kB] Get: 242 http://deb.debian.org/debian buster/main arm64 libqt5printsupport5 arm64 5.11.3+dfsg1-1+deb10u3 [210 kB] Get: 243 http://deb.debian.org/debian buster/main arm64 libqscintilla2-qt5-13 arm64 2.10.4+dfsg-2.1 [952 kB] Get: 244 http://deb.debian.org/debian buster/main arm64 libqt5sql5 arm64 5.11.3+dfsg1-1+deb10u3 [139 kB] Get: 245 http://deb.debian.org/debian buster/main arm64 libqt5help5 arm64 5.11.3-4 [142 kB] Get: 246 http://deb.debian.org/debian buster/main arm64 libqt5opengl5 arm64 5.11.3+dfsg1-1+deb10u3 [153 kB] Get: 247 http://deb.debian.org/debian buster/main arm64 libogg0 arm64 1.3.2-1+b1 [18.4 kB] Get: 248 http://deb.debian.org/debian buster/main arm64 libflac8 arm64 1.3.2-3 [177 kB] Get: 249 http://deb.debian.org/debian buster/main arm64 libvorbis0a arm64 1.3.6-2 [86.9 kB] Get: 250 http://deb.debian.org/debian buster/main arm64 libvorbisenc2 arm64 1.3.6-2 [80.0 kB] Get: 251 http://deb.debian.org/debian buster/main arm64 libsndfile1 arm64 1.0.28-6 [246 kB] Get: 252 http://deb.debian.org/debian buster/main arm64 libtext-unidecode-perl all 1.30-1 [103 kB] Get: 253 http://deb.debian.org/debian buster/main arm64 libxml-namespacesupport-perl all 1.12-1 [14.8 kB] Get: 254 http://deb.debian.org/debian buster/main arm64 libxml-sax-base-perl all 1.09-1 [20.4 kB] Get: 255 http://deb.debian.org/debian buster/main arm64 libxml-sax-perl all 1.00+dfsg-1 [58.6 kB] Get: 256 http://deb.debian.org/debian buster/main arm64 libxml-libxml-perl arm64 2.0134+dfsg-1 [334 kB] Get: 257 http://deb.debian.org/debian buster/main arm64 texinfo arm64 6.5.0.dfsg.1-4+b1 [1427 kB] Get: 258 http://deb.debian.org/debian buster/main arm64 octave-common all 4.4.1-5 [4365 kB] Get: 259 http://deb.debian.org/debian buster/main arm64 octave arm64 4.4.1-5 [1963 kB] Get: 260 http://deb.debian.org/debian buster/main arm64 libncurses-dev arm64 6.1+20181013-2+deb10u2 [324 kB] Get: 261 http://deb.debian.org/debian buster/main arm64 libreadline-dev arm64 7.0-5 [128 kB] Get: 262 http://deb.debian.org/debian buster/main arm64 zlib1g-dev arm64 1:1.2.11.dfsg-1 [210 kB] Get: 263 http://deb.debian.org/debian buster/main arm64 libjpeg62-turbo-dev arm64 1:1.5.2-2+b1 [186 kB] Get: 264 http://deb.debian.org/debian buster/main arm64 libjpeg-dev all 1:1.5.2-2 [57.5 kB] Get: 265 http://deb.debian.org/debian buster/main arm64 libaec-dev arm64 1.0.2-1 [17.1 kB] Get: 266 http://deb.debian.org/debian buster/main arm64 hdf5-helpers arm64 1.10.4+repack-10 [35.2 kB] Get: 267 http://deb.debian.org/debian buster/main arm64 libhdf5-cpp-103 arm64 1.10.4+repack-10 [132 kB] Get: 268 http://deb.debian.org/debian buster/main arm64 libhdf5-dev arm64 1.10.4+repack-10 [2683 kB] Get: 269 http://deb.debian.org/debian buster/main arm64 xorg-sgml-doctools all 1:1.11-1 [21.9 kB] Get: 270 http://deb.debian.org/debian buster/main arm64 x11proto-dev all 2018.4-4 [251 kB] Get: 271 http://deb.debian.org/debian buster/main arm64 x11proto-core-dev all 2018.4-4 [3128 B] Get: 272 http://deb.debian.org/debian buster/main arm64 libxau-dev arm64 1:1.0.8-1+b2 [22.8 kB] Get: 273 http://deb.debian.org/debian buster/main arm64 libxdmcp-dev arm64 1:1.1.2-3 [41.2 kB] Get: 274 http://deb.debian.org/debian buster/main arm64 xtrans-dev all 1.3.5-1 [100 kB] Get: 275 http://deb.debian.org/debian buster/main arm64 libpthread-stubs0-dev arm64 0.4-1 [5336 B] Get: 276 http://deb.debian.org/debian buster/main arm64 libxcb1-dev arm64 1.13.1-2 [174 kB] Get: 277 http://deb.debian.org/debian buster/main arm64 libx11-dev arm64 2:1.6.7-1 [816 kB] Get: 278 http://deb.debian.org/debian buster/main arm64 libdrm-freedreno1 arm64 2.4.97-1 [27.8 kB] Get: 279 http://deb.debian.org/debian buster/main arm64 libdrm-tegra0 arm64 2.4.97-1 [15.8 kB] Get: 280 http://deb.debian.org/debian buster/main arm64 libdrm-dev arm64 2.4.97-1 [135 kB] Get: 281 http://deb.debian.org/debian buster/main arm64 mesa-common-dev arm64 18.3.6-2+deb10u1 [611 kB] Get: 282 http://deb.debian.org/debian buster/main arm64 libglvnd-core-dev arm64 1.1.0-1 [13.2 kB] Get: 283 http://deb.debian.org/debian buster/main arm64 libgles1 arm64 1.1.0-1 [14.3 kB] Get: 284 http://deb.debian.org/debian buster/main arm64 libgles2 arm64 1.1.0-1 [19.8 kB] Get: 285 http://deb.debian.org/debian buster/main arm64 libopengl0 arm64 1.1.0-1 [34.4 kB] Get: 286 http://deb.debian.org/debian buster/main arm64 libglvnd-dev arm64 1.1.0-1 [5128 B] Get: 287 http://deb.debian.org/debian buster/main arm64 libx11-xcb-dev arm64 2:1.6.7-1 [192 kB] Get: 288 http://deb.debian.org/debian buster/main arm64 libxcb-dri3-dev arm64 1.13.1-2 [101 kB] Get: 289 http://deb.debian.org/debian buster/main arm64 libxcb-render0-dev arm64 1.13.1-2 [113 kB] Get: 290 http://deb.debian.org/debian buster/main arm64 libxcb-randr0-dev arm64 1.13.1-2 [115 kB] Get: 291 http://deb.debian.org/debian buster/main arm64 libxcb-shape0-dev arm64 1.13.1-2 [101 kB] Get: 292 http://deb.debian.org/debian buster/main arm64 libxcb-xfixes0-dev arm64 1.13.1-2 [106 kB] Get: 293 http://deb.debian.org/debian buster/main arm64 libxcb-sync-dev arm64 1.13.1-2 [105 kB] Get: 294 http://deb.debian.org/debian buster/main arm64 libxcb-present-dev arm64 1.13.1-2 [101 kB] Get: 295 http://deb.debian.org/debian buster/main arm64 libxshmfence-dev arm64 1.3-1 [8212 B] Get: 296 http://deb.debian.org/debian buster/main arm64 libxcb-dri2-0-dev arm64 1.13.1-2 [102 kB] Get: 297 http://deb.debian.org/debian buster/main arm64 libxcb-glx0-dev arm64 1.13.1-2 [122 kB] Get: 298 http://deb.debian.org/debian buster/main arm64 x11proto-fixes-dev all 1:2018.4-4 [3140 B] Get: 299 http://deb.debian.org/debian buster/main arm64 libxfixes-dev arm64 1:5.0.3-1 [23.2 kB] Get: 300 http://deb.debian.org/debian buster/main arm64 x11proto-damage-dev all 1:2018.4-4 [3140 B] Get: 301 http://deb.debian.org/debian buster/main arm64 libxdamage-dev arm64 1:1.1.4-3+b3 [14.8 kB] Get: 302 http://deb.debian.org/debian buster/main arm64 x11proto-xext-dev all 2018.4-4 [3128 B] Get: 303 http://deb.debian.org/debian buster/main arm64 libxext-dev arm64 2:1.3.3-1+b2 [104 kB] Get: 304 http://deb.debian.org/debian buster/main arm64 x11proto-xf86vidmode-dev all 2018.4-4 [3140 B] Get: 305 http://deb.debian.org/debian buster/main arm64 libxxf86vm-dev arm64 1:1.1.4-1+b2 [25.1 kB] Get: 306 http://deb.debian.org/debian buster/main arm64 libgl1-mesa-dev arm64 18.3.6-2+deb10u1 [48.0 kB] Get: 307 http://deb.debian.org/debian buster/main arm64 libblas-dev arm64 3.8.0-2 [105 kB] Get: 308 http://deb.debian.org/debian buster/main arm64 liblapack-dev arm64 3.8.0-2 [1524 kB] Get: 309 http://deb.debian.org/debian buster/main arm64 libfftw3-long3 arm64 3.3.8-2 [526 kB] Get: 310 http://deb.debian.org/debian buster/main arm64 libfftw3-bin arm64 3.3.8-2 [47.4 kB] Get: 311 http://deb.debian.org/debian buster/main arm64 libfftw3-dev arm64 3.3.8-2 [1455 kB] Get: 312 http://deb.debian.org/debian buster/main arm64 libgfortran-8-dev arm64 8.3.0-6 [346 kB] Get: 313 http://deb.debian.org/debian buster/main arm64 gfortran-8 arm64 8.3.0-6 [7861 kB] Get: 314 http://deb.debian.org/debian buster/main arm64 gfortran arm64 4:8.3.0-1 [1420 B] Get: 315 http://deb.debian.org/debian buster/main arm64 liboctave-dev arm64 4.4.1-5 [756 kB] Get: 316 http://deb.debian.org/debian buster/main arm64 libencode-locale-perl all 1.05-1 [13.7 kB] Get: 317 http://deb.debian.org/debian buster/main arm64 libtimedate-perl all 2.3000-2+deb10u1 [38.1 kB] Get: 318 http://deb.debian.org/debian buster/main arm64 libhttp-date-perl all 6.02-1 [10.7 kB] Get: 319 http://deb.debian.org/debian buster/main arm64 libfile-listing-perl all 6.04-1 [10.3 kB] Get: 320 http://deb.debian.org/debian buster/main arm64 libhtml-tagset-perl all 3.20-3 [12.7 kB] Get: 321 http://deb.debian.org/debian buster/main arm64 liburi-perl all 1.76-1 [89.9 kB] Get: 322 http://deb.debian.org/debian buster/main arm64 libhtml-parser-perl arm64 3.72-3+b3 [103 kB] Get: 323 http://deb.debian.org/debian buster/main arm64 libhtml-tree-perl all 5.07-2 [213 kB] Get: 324 http://deb.debian.org/debian buster/main arm64 libio-html-perl all 1.001-1 [17.6 kB] Get: 325 http://deb.debian.org/debian buster/main arm64 liblwp-mediatypes-perl all 6.02-1 [22.1 kB] Get: 326 http://deb.debian.org/debian buster/main arm64 libhttp-message-perl all 6.18-1 [77.8 kB] Get: 327 http://deb.debian.org/debian buster/main arm64 libhttp-cookies-perl all 6.04-1 [17.8 kB] Get: 328 http://deb.debian.org/debian buster/main arm64 libhttp-negotiate-perl all 6.01-1 [12.8 kB] Get: 329 http://deb.debian.org/debian buster/main arm64 perl-openssl-defaults arm64 3 [6782 B] Get: 330 http://deb.debian.org/debian buster/main arm64 libnet-ssleay-perl arm64 1.85-2+b1 [303 kB] Get: 331 http://deb.debian.org/debian buster/main arm64 libio-socket-ssl-perl all 2.060-3 [207 kB] Get: 332 http://deb.debian.org/debian buster/main arm64 libnet-http-perl all 6.18-1 [24.5 kB] Get: 333 http://deb.debian.org/debian buster/main arm64 liblwp-protocol-https-perl all 6.07-2 [9242 B] Get: 334 http://deb.debian.org/debian buster/main arm64 libwww-robotrules-perl all 6.02-1 [12.9 kB] Get: 335 http://deb.debian.org/debian buster/main arm64 libwww-perl all 6.36-2 [188 kB] Get: 336 http://deb.debian.org/debian buster/main arm64 liberror-perl all 0.17027-2 [30.9 kB] Get: 337 http://deb.debian.org/debian buster/main arm64 libexporter-lite-perl all 0.08-1 [11.1 kB] Get: 338 http://deb.debian.org/debian buster/main arm64 libparse-debcontrol-perl all 2.005-4 [25.7 kB] Get: 339 http://deb.debian.org/debian buster/main arm64 libconvert-binhex-perl all 1.125-1 [30.5 kB] Get: 340 http://deb.debian.org/debian buster/main arm64 libnet-smtp-ssl-perl all 1.04-1 [6184 B] Get: 341 http://deb.debian.org/debian buster/main arm64 libmailtools-perl all 2.18-1 [88.5 kB] Get: 342 http://deb.debian.org/debian buster/main arm64 libmime-tools-perl all 5.509-1 [212 kB] Get: 343 http://deb.debian.org/debian buster/main arm64 gnuplot-data all 5.2.6+dfsg1-1+deb10u1 [180 kB] Get: 344 http://deb.debian.org/debian buster/main arm64 libpixman-1-0 arm64 0.36.0-1 [436 kB] Get: 345 http://deb.debian.org/debian buster/main arm64 libcairo2 arm64 1.16.0-4 [644 kB] Get: 346 http://deb.debian.org/debian buster/main arm64 libxpm4 arm64 1:3.5.12-1 [43.9 kB] Get: 347 http://deb.debian.org/debian buster/main arm64 libgd3 arm64 2.2.5-5.2 [125 kB] Get: 348 http://deb.debian.org/debian buster/main arm64 liblua5.3-0 arm64 5.3.3-1.1 [110 kB] Get: 349 http://deb.debian.org/debian buster/main arm64 libfribidi0 arm64 1.0.5-3.1+deb10u1 [63.6 kB] Get: 350 http://deb.debian.org/debian buster/main arm64 libthai-data all 0.1.28-2 [170 kB] Get: 351 http://deb.debian.org/debian buster/main arm64 libdatrie1 arm64 0.2.12-2 [38.6 kB] Get: 352 http://deb.debian.org/debian buster/main arm64 libthai0 arm64 0.1.28-2 [52.8 kB] Get: 353 http://deb.debian.org/debian buster/main arm64 libpango-1.0-0 arm64 1.42.4-8~deb10u1 [179 kB] Get: 354 http://deb.debian.org/debian buster/main arm64 libpangoft2-1.0-0 arm64 1.42.4-8~deb10u1 [65.7 kB] Get: 355 http://deb.debian.org/debian buster/main arm64 libpangocairo-1.0-0 arm64 1.42.4-8~deb10u1 [54.0 kB] Get: 356 http://deb.debian.org/debian buster/main arm64 gnuplot-nox arm64 5.2.6+dfsg1-1+deb10u1 [844 kB] Get: 357 http://deb.debian.org/debian buster/main arm64 fonts-freefont-otf all 20120503-9 [3169 kB] Get: 358 http://deb.debian.org/debian buster/main arm64 dh-octave-autopkgtest all 0.6.2 [8308 B] Get: 359 http://deb.debian.org/debian buster/main arm64 dh-octave all 0.6.2 [19.9 kB] Get: 360 http://deb.debian.org/debian buster/main arm64 python3-mpmath all 1.1.0-1 [416 kB] Get: 361 http://deb.debian.org/debian buster/main arm64 python3-sympy all 1.3-2 [3500 kB] Fetched 123 MB in 10s (12.8 MB/s) debconf: delaying package configuration, since apt-utils is not installed Selecting previously unselected package libbsd0:arm64. 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Setting up libedit2:arm64 (3.1-20181209-1) ... Setting up libhash-merge-perl (0.300-1) ... Setting up libxcb-keysyms1:arm64 (0.4.0-1+b2) ... Setting up libaec-dev:arm64 (1.0.2-1) ... Setting up libxcb-shape0:arm64 (1.13.1-2) ... Setting up libavahi-common3:arm64 (0.7-4+b1) ... Setting up libjpeg-dev (1:1.5.2-2) ... Setting up libldap-2.4-2:arm64 (2.4.47+dfsg-3+deb10u2) ... Setting up libnet-http-perl (6.18-1) ... Setting up m4 (1.4.18-2) ... Setting up libxcb-render-util0:arm64 (0.3.9-1+b1) ... Setting up libxcb-shm0:arm64 (1.13.1-2) ... Setting up libxcb-icccm4:arm64 (0.4.1-1.1) ... Setting up libxcb-util0:arm64 (0.3.8-3+b2) ... Setting up libreadline-dev:arm64 (7.0-5) ... Setting up libdevel-callchecker-perl (0.008-1) ... Setting up gfortran (4:8.3.0-1) ... update-alternatives: using /usr/bin/gfortran to provide /usr/bin/f95 (f95) in auto mode update-alternatives: using /usr/bin/gfortran to provide /usr/bin/f77 (f77) in auto mode Setting up libbtf1:arm64 (1:5.4.0+dfsg-1) ... Setting up libxcb-xkb1:arm64 (1.13.1-2) ... Setting up libxcb-image0:arm64 (0.4.0-1+b2) ... Setting up libxcb-present0:arm64 (1.13.1-2) ... Setting up libthai0:arm64 (0.1.28-2) ... Setting up ca-certificates (20190110) ... Updating certificates in /etc/ssl/certs... 128 added, 0 removed; done. Setting up libcamd2:arm64 (1:5.4.0+dfsg-1) ... Setting up libxdmcp-dev:arm64 (1:1.1.2-3) ... Setting up libblas3:arm64 (3.8.0-2) ... update-alternatives: using /usr/lib/aarch64-linux-gnu/blas/libblas.so.3 to provide /usr/lib/aarch64-linux-gnu/libblas.so.3 (libblas.so.3-aarch64-linux-gnu) in auto mode Setting up libxcb-xinerama0:arm64 (1.13.1-2) ... Setting up x11proto-damage-dev (1:2018.4-4) ... Setting up libfreetype6:arm64 (2.9.1-3+deb10u1) ... Setting up libglpk40:arm64 (4.65-2) ... Setting up libxcb-sync1:arm64 (1.13.1-2) ... Setting up x11proto-core-dev (2018.4-4) ... Setting up libconfig-model-perl (2.133-1) ... Setting up libhdf5-103:arm64 (1.10.4+repack-10) ... Setting up bsdmainutils (11.1.2+b1) ... update-alternatives: using /usr/bin/bsd-write to provide /usr/bin/write (write) in auto mode update-alternatives: using /usr/bin/bsd-from to provide /usr/bin/from (from) in auto mode Setting up libxkbcommon-x11-0:arm64 (0.8.2-1) ... Setting up libgssapi-krb5-2:arm64 (1.17-3) ... Setting up libdata-optlist-perl (0.110-1) ... Setting up libcroco3:arm64 (0.6.12-3) ... Setting up ucf (3.0038+nmu1) ... Setting up libqt5core5a:arm64 (5.11.3+dfsg1-1+deb10u3) ... Setting up autoconf (2.69-11) ... Setting up libxcb-dri2-0:arm64 (1.13.1-2) ... Setting up libwww-robotrules-perl (6.02-1) ... Setting up x11proto-xf86vidmode-dev (2018.4-4) ... Setting up libjack-jackd2-0:arm64 (1.9.12~dfsg-2) ... Setting up x11proto-xext-dev (2018.4-4) ... Setting up libdrm2:arm64 (2.4.97-1) ... Setting up dwz (0.12-3) ... Setting up groff-base (1.22.4-3) ... Setting up libklu1:arm64 (1:5.4.0+dfsg-1) ... Setting up libqt5dbus5:arm64 (5.11.3+dfsg1-1+deb10u3) ... 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Reading state information... Reading extended state information... Initializing package states... Writing extended state information... Building tag database... -> Finished parsing the build-deps I: Building the package I: Running cd /build/octave-symbolic-2.7.1/ && env PATH="/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/i/capture/the/path" HOME="/nonexistent/second-build" dpkg-buildpackage -us -uc -b dpkg-buildpackage: info: source package octave-symbolic dpkg-buildpackage: info: source version 2.7.1-2 dpkg-buildpackage: info: source distribution unstable dpkg-buildpackage: info: source changed by Rafael Laboissiere dpkg-source --before-build . dpkg-buildpackage: info: host architecture arm64 debian/rules clean dh clean --buildsystem=octave --with=octave dh_auto_clean -O--buildsystem=octave dh_octave_clean make[1]: *** src: No such file or directory. Stop. dh_autoreconf_clean -O--buildsystem=octave dh_clean -O--buildsystem=octave debian/rules binary dh binary --buildsystem=octave --with=octave dh_update_autotools_config -O--buildsystem=octave dh_autoreconf -O--buildsystem=octave dh_octave_version -O--buildsystem=octave Checking the Octave version... ok dh_auto_configure -O--buildsystem=octave dh_auto_build -O--buildsystem=octave dh_auto_test -O--buildsystem=octave create-stamp debian/debhelper-build-stamp dh_testroot -O--buildsystem=octave dh_prep -O--buildsystem=octave debian/rules override_dh_auto_install make[1]: Entering directory '/build/octave-symbolic-2.7.1' dh_auto_install octave --no-gui --no-history --silent --no-init-file --no-window-system /usr/share/dh-octave/install-pkg.m warning: pkg: creating the directory /build/octave-symbolic-2.7.1/debian/octave-symbolic/usr/share/octave/packages warning: pkg: creating the directory /build/octave-symbolic-2.7.1/debian/octave-symbolic/usr/lib/aarch64-linux-gnu/octave/packages For information about changes from previous versions of the symbolic package, run 'news symbolic'. # Remove the extraneous Windows batch script rm -rf $(find debian/octave-symbolic -name bin) make[1]: Leaving directory '/build/octave-symbolic-2.7.1' dh_octave_check -O--buildsystem=octave Checking package... Checking m files ... [inst/vpasolve.m] >>>>> /build/octave-symbolic-2.7.1/inst/vpasolve.m ***** test syms x vpi = vpa(sym(pi), 64); e = tan(x/4) == 1; q = vpasolve(e, x, 3.0); w = q - vpi ; assert (double(w) < 1e-30) Symbolic pkg v2.7.1: Python communication link active, SymPy v1.3. ***** test syms x vpi = vpa(sym(pi), 64); e = tan(x/4) == 1; q = vpasolve(e, x); w = q - vpi; assert (double(w) < 1e-30) q = vpasolve(e); w = q - vpi; assert (double(w) < 1e-30) ***** test % very accurate pi syms x e = tan(x/4) == 1; m = digits(256); q = vpasolve(e, x, 3); assert (double(abs(sin(q))) < 1e-256) digits(m); ***** test % very accurate sqrt 2 syms x e = x*x == 2; m = digits(256); q = vpasolve(e, x, 1.5); assert (double(abs(q*q - 2)) < 1e-256) digits(m); ***** test % very accurate sqrt pi % (used to fail https://github.com/sympy/sympy/issues/8564) syms x e = x*x == sym(pi); m = digits(256); q = vpasolve(e, x, 3); assert (double(abs(sin(q*q))) < 1e-256) digits(m); ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) syms x r = vpasolve(x^2 + 2 == 0, x, 1i); assert (double (imag(r)^2 - 2), 0, 1e-32) assert (double (real(r)^2), 0, 1e-32) r = vpasolve(x^2 + 2 == 0, x, -3i + 5); assert (double (imag(r)^2 - 2), 0, 1e-32) assert (double (real(r)^2), 0, 1e-32) end ***** test % system if (python_cmd ('return Version(spver) > Version("1.0")')) syms x y f = 3*x^2 - 2*y^2 - 1; g = x^2 - 2*x + y^2 + 2*y - 8; r = vpasolve([f; g], [x; y], sym([-1; 1])); assert (isa (r, 'sym')) assert (numel (r) == 2) end ***** test % system, double guess if (python_cmd ('return Version(spver) > Version("1.0")')) syms x y f = 3*x^2 - 2*y^2 - 1; g = x^2 - 2*x + y^2 + 2*y - 8; r = vpasolve([f; g], [x; y], [-1.1 1.2]); end ***** test % system, double guess if (python_cmd ('return Version(spver) > Version("1.0")')) syms x y f = 3*x^2 - 2*y^2 - 1; g = x^2 - 2*x + y^2 + 2*y - 8; r1 = vpasolve([f; g], [x; y], [-1.1]); r2 = vpasolve([f; g], [x; y], [-1.1 -1.1]); assert (isequal (r1, r2)) end ***** test % system, more eqns than unknowns if (python_cmd ('return Version(spver) > Version("1.0")')) syms x y eqns = [x^3 - x - y == 0; y*exp(x) == 16; log(y) + x == 4*log(sym(2))]; r = vpasolve (eqns, [x; y], [1; 1]); A = subs (lhs (eqns), [x; y], r); err = A - [0; 16; 4*log(sym(2))]; assert (double (err), zeros (size (err)), 1e-31) end 10 tests, 10 passed, 0 known failure, 0 skipped [inst/vpa.m] >>>>> /build/octave-symbolic-2.7.1/inst/vpa.m ***** test a = vpa(0, 4); b = double(a); assert(b == 0) ***** test a = vpa(pi, 4); b = sin(a); assert(abs(double(b)) < 1e-4) ***** test % vpa from double is ok, doesn't warn (c.f., sym(2.3)) a = vpa(2.3); assert(true) ***** test % vpa from double not more than 16 digits a = vpa(sqrt(pi), 32); b = sin(a^2); assert(abs(double(b)) > 1e-20) assert(abs(double(b)) < 1e-15) ***** test a = vpa(sym(pi), 32); b = sin(a); assert(abs(double(b)) < 1e-30) ***** test a = vpa(sym(pi), 256); b = sin(a); assert(abs(double(b)) < 1e-256) ***** test % pi str a = vpa('pi', 32); b = sin(a); assert(abs(double(b)) < 1e-32) ***** test % pi str a = vpa('pi', 32); b = vpa(sym('pi'), 32); assert (double (a - b) == 0) ***** test spi = sym(pi); a = vpa(spi, 10); b = double(a); assert(~isAlways(spi == a)) ***** test % matrix of sym a = [sym(pi) 0; sym(1)/2 1]; b = [pi 0; 0.5 1]; c = vpa(a, 6); assert(max(max(abs(double(c)-b))) < 1e-6) ***** test % matrix of double b = [pi 0; 0.5 1]; c = vpa(b, 6); assert(max(max(abs(double(c)-b))) < 1e-6) ***** test % integer type a = vpa(int32(6), 64); b = vpa(6, 64); assert (isequal (a, b)) ***** test % matrix of int b = int32([pi 0; 6.25 1]); c = vpa(b, 6); assert (isequal (double(c), [3 0; 6 1])) ***** test % can pass pi directly to vpa a = vpa(sym(pi), 128); b = vpa(pi, 128); assert (isequal (a, b)) ***** test % if sym does sth special for e so should vpa a = vpa(sym(exp(1)), 64); b = vpa(exp(1), 64); assert (isequal (a, b)) ***** test % can pass pi directly to vpa, even in array a = vpa(sym([2 pi]), 128); b = vpa([2 pi], 128); assert (isequal (a, b)) ***** test % can pass i directly to vpa a = vpa(sym(i)); b = vpa(i); ***** test % 'i' and 'I' just make vars a = vpa(sym(1i)); b = vpa('i'); c = vpa('I'); assert (~isequal (a, b)) assert (~isequal (a, c)) ***** test % '1i' and '1j' strings a = vpa(sym(1i)); b = vpa('1i'); c = vpa('1j'); assert (isequal (a, b)) assert (isequal (a, c)) ***** test % Issue #868, precision loss on '0.33j' a = vpa('0.33j', 40); b = vpa('0.33i', 40); assert (double (abs (imag (a)*100/33) - 1) < 1e-39) assert (isequal (a, b)) ***** test % inf/-inf do not become symbol('inf') S = {'oo', '-oo', 'inf', 'Inf', '-inf', '+inf'}; for j = 1:length(S) a = vpa(S{j}); b = vpa(sym(S{j})); assert (isequal (a, b)) end ***** test a = vpa('2.3', 20); s = strtrim(disp(a, 'flat')); assert (strcmp (s, '2.3000000000000000000')) ***** test % these should *not* be the same a = vpa(2.3, 40); b = vpa('2.3', 40); sa = sympy (a); sb = sympy (b); assert (~isequal (a, b)) assert (abs(double(a - b)) > 1e-20) assert (abs(double(a - b)) < 1e-15) assert (~strcmp(sa, sb)) ***** test % these should *not* be the same x = vpa('1/3', 32); y = vpa(sym(1)/3, 32); z = vpa(1/3, 32); assert (isequal (x, y)) assert (~isequal (x, z)) ***** test % big integers a = int64(12345678); a = a*a; b = vpa(a); c = vpa('152415765279684'); assert (isequal (b, c)) ***** test % big integers (workaround poor num2str, works in 4.0?) a = int64(1234567891); a = a*a; b = vpa(a); c = vpa('1524157877488187881'); assert (isequal (b, c)) ***** warning vpa ('sqrt(2.0)'); ***** warning % https://github.com/sympy/sympy/issues/13425 a = vpa('2**0.5'); b = vpa(sqrt(sym(2))); assert (isequal (a, b)) ***** test a = vpa('2.3e1'); b = vpa(' 2.3e+1 '); assert (isequal (a, b)) a = vpa('21e-1'); b = vpa('2.1'); assert (isequal (a, b)) ***** test % Issue #859, operations on immutable matrices x = vpa (sym ([1 2])); % If vpa no longer makes an ImmutableDenseMatrix, % may need to adjust or remove this test. assert (~ isempty (strfind (sympy (x), 'Immutable'))) y = sin(x); y2 = [sin(vpa(sym(1))) sin(vpa(sym(2)))]; assert (isequal (y, y2)) 30 tests, 30 passed, 0 known failure, 0 skipped [inst/syms.m] >>>>> /build/octave-symbolic-2.7.1/inst/syms.m ***** test %% assumptions syms x real x2 = sym('x', 'real'); assert (isequal (x, x2)) ***** test %% assumptions and clearing them syms x real f = {x {2*x}}; A = assumptions(); assert ( ~isempty(A)) s = warning ('off', 'OctSymPy:deprecated'); syms x clear warning (s) A = assumptions(); assert ( isempty(A)) ***** test % SMT compat, syms x clear should add x to workspace syms x real f = 2*x; clear x assert (~logical(exist('x', 'var'))) s = warning ('off', 'OctSymPy:deprecated'); syms x clear warning (s) assert (logical(exist('x', 'var'))) ***** error syms x positive y ***** error % this sometimes catches typos or errors in assumption names % (if you need careful checking, use sym not syms) syms x positive evne ***** error syms x positive clear ***** error syms x clear y ***** error syms positive integer ***** test % does not create a variable called positive syms x positive integer assert (logical(exist('x', 'var'))) assert (~logical(exist('positive', 'var'))) ***** test % Issue #885 syms S(x) I(x) O(x) ***** test % Issue #290 syms FF(x) syms ff(x) syms Eq(x) ***** test % Issue #290 syms beta(x) ***** test syms x real syms f(x) assert (~ isempty (assumptions (x))) ***** test syms x real f(x) = symfun(sym('f(x)'), x); assert (~ isempty (assumptions (x))) assert (~ isempty (assumptions (argnames (f)))) 14 tests, 14 passed, 0 known failure, 0 skipped [inst/python_cmd.m] >>>>> /build/octave-symbolic-2.7.1/inst/python_cmd.m ***** test % general test x = 10; y = 6; cmd = '(x,y) = _ins; return (x+y,x-y)'; [a,b] = python_cmd (cmd, x, y); assert (a == x + y && b == x - y) ***** test % bool assert (python_cmd ('return True,')) assert (~python_cmd ('return False,')) ***** test % float assert (abs(python_cmd ('return 1.0/3,') - 1/3) < 1e-15) ***** test % int r = python_cmd ('return 123456'); assert (r == 123456) assert (isinteger (r)) ***** test % long (on python2) r = python_cmd ('return 42 if sys.version_info >= (3,0) else long(42)'); assert (r == 42) assert (isinteger (r)) ***** test % string x = 'octave'; cmd = 's = _ins[0]; return s.capitalize(),'; y = python_cmd (cmd, x); assert (strcmp(y, 'Octave')) ***** test % string with escaped newlines, comes back as escaped newlines x = 'a string\nbroke off\nmy guitar\n'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % string with actual newlines, comes back as actual newlines x = sprintf('a string\nbroke off\nmy guitar\n'); y = python_cmd ('return _ins', x); y2 = strrep(y, sprintf('\n'), sprintf('\r\n')); % windows assert (strcmp(x, y) || strcmp(x, y2)) ***** test % cmd string with newlines, works with cell y = python_cmd ('return "string\nbroke",'); y2 = sprintf('string\nbroke'); y3 = strrep(y2, sprintf('\n'), sprintf('\r\n')); % windows assert (strcmp(y, y2) || strcmp(y, y3)) ***** test % string with XML escapes x = '<> >< <<>>'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) x = '&'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % strings with double quotes x = 'a\"b\"c'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) x = '\"'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % cmd has double quotes, these must be escaped by user % (of course: she is writing python code) expy = 'a"b"c'; y = python_cmd ('return "a\"b\"c",'); assert (strcmp(y, expy)) ***** test % strings with quotes x = 'a''b'; % this is a single quote y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % strings with quotes x = '\"a''b\"c''\"d'; y = python_cmd ('return _ins[0]', x); assert (strcmp(y, x)) ***** test % strings with quotes expy = '"a''b"c''"d'; y = python_cmd ('s = "\"a''b\"c''\"d"; return s'); assert (strcmp(y, expy)) ***** test % strings with printf escapes x = '% %% %%% %%%% %s %g %%s'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % cmd with printf escapes x = '% %% %%% %%%% %s %g %%s'; y = python_cmd (['return "' x '",']); assert (strcmp(y, x)) ***** test % cmd w/ backslash and \n must be escaped by user expy = 'a\b\\c\nd\'; y = python_cmd ('return "a\\b\\\\c\\nd\\",'); assert (strcmp(y, expy)) ***** test % slashes x = '/\\ // \\\\ \\/\\/\\'; z = '/\ // \\ \/\/\'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % slashes z = '/\ // \\ \/\/\'; y = python_cmd ('return "/\\ // \\\\ \\/\\/\\"'); assert (strcmp(y, z)) ***** test % strings with special chars x = '!@#$^&* you!'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) x = '~-_=+[{]}|;:,.?'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** xtest % string with backtick trouble for system -c (sysoneline) x = '`'; y = python_cmd ('return _ins', x); assert (strcmp(y, x)) ***** test % unicode s1 = '我爱你'; cmd = 'return u"\u6211\u7231\u4f60",'; s2 = python_cmd (cmd); assert (strcmp (s1, s2)) ***** test % unicode with \x s1 = '我'; cmd = 'return b"\xe6\x88\x91".decode("utf-8")'; s2 = python_cmd (cmd); assert (strcmp (s1, s2)) ***** test % unicode with \x and some escaped backslashes s1 = '\我\'; cmd = 'return b"\\\xe6\x88\x91\\".decode("utf-8")'; s2 = python_cmd (cmd); assert (strcmp (s1, s2)) ***** xtest % unicode passthru s = '我爱你'; s2 = python_cmd ('return _ins', s); assert (strcmp (s, s2)) s = '我爱你<>\&//\#%% %\我'; s2 = python_cmd ('return _ins', s); assert (strcmp (s, s2)) ***** xtest % unicode w/ slashes, escapes s = '我<>\&//\#%% %\我'; s2 = python_cmd ('return "我<>\\&//\\#%% %\\我"'); assert (strcmp (s, s2)) ***** test % list, tuple assert (isequal (python_cmd ('return [1,2,3],'), {1, 2, 3})) assert (isequal (python_cmd ('return (4,5),'), {4, 5})) assert (isequal (python_cmd ('return (6,),'), {6,})) assert (isequal (python_cmd ('return [],'), {})) ***** test % dict cmd = 'd = dict(); d["a"] = 6; d["b"] = 10; return d,'; d = python_cmd (cmd); assert (d.a == 6 && d.b == 10) ***** test r = python_cmd ('return 6'); assert (isequal (r, 6)) ***** test r = python_cmd ('return "Hi"'); assert (strcmp (r, 'Hi')) ***** test % blank lines, lines with spaces a = python_cmd({ '', '', ' ', 'return 6', ' ', ''}); assert (isequal (a, 6)) ***** test % blank lines, strange comment lines cmd = {'a = 1', '', '#', '', '# ', ' #', 'a = a + 2', ' #', 'return a'}; a = python_cmd(cmd); assert (isequal (a, 3)) ***** test % return empty string (was https://bugs.python.org/issue25270) assert (isempty (python_cmd ('return ""'))) ***** test % return nothing (via an empty list) % note distinct from 'return [],' python_cmd('return []') ***** test % return nothing (because no return command) python_cmd('dummy = 1') ***** test % return nothing (because no command) python_cmd('') ***** test % return nothing (because no command) python_cmd({}) ***** error % python exception while passing variables to python % This tests the "INTERNAL_PYTHON_ERROR" path. % FIXME: this is a very specialized test, relies on internal octsympy % implementation details, and may need to be adjusted for changes. b = sym([], 'S.make_an_attribute_err_exception', [1 1], 'Test', 'Test', 'Test'); c = b + 1; Traceback (most recent call last): File "", line 4, in File "/usr/lib/python3/dist-packages/sympy/core/singleton.py", line 116, in __getattr__ name, self)) AttributeError: Attribute 'make_an_attribute_err_exception' was not installed on SymPy registry S ***** test % ...and after the above test, the pipe should still work a = python_cmd('return _ins[0]*2', 3); assert (isequal (a, 6)) ***** error % This command does not fail with native interface and '@pyobject' if (strcmp (sympref ('ipc'), 'native')) error ('does not know how to export type') else python_cmd({'return type(int)'}); end Traceback (most recent call last): File "", line 2, in File "", line 12, in octoutput_drv File "", line 99, in octoutput ValueError: octoutput does not know how to export type ***** test % ...and after the above test, the pipe should still work a = python_cmd('return _ins[0]*2', 3); assert (isequal (a, 6)) ***** test % complex input [A, B] = python_cmd ('z = 2*_ins[0]; return (z.real,z.imag)', 3+4i); assert (A, 6) assert (B, 8) ***** test % complex output z = python_cmd ('return 3+2j'); assert (z, 3+2i) ***** error s = char ('abc', 'defgh', '12345'); r = python_cmd ('return _ins[0]', s); ***** test r = python_cmd ('return len(_ins[0])', ''); assert (r == 0) 46 tests, 46 passed, 0 known failure, 0 skipped [inst/poly2sym.m] >>>>> /build/octave-symbolic-2.7.1/inst/poly2sym.m ***** shared x,y,a,b,c,p syms x y a b c p = x^3 + 2*x^2 + 3*x + 4; ***** assert(isAlways( poly2sym([1 2 3 4]) == p )) ***** assert(isAlways( poly2sym([1 2 3 4],x) == p )) ***** assert(isAlways( poly2sym([1 2 3 4],y) == subs(p,x,y) )) ***** assert(isAlways( poly2sym([1 2 3 4],5) == subs(p,x,5) )) ***** assert(isequal( poly2sym ([1]), 1 )) ***** assert(isequal( poly2sym ([]), 0 )) ***** assert(isAlways( poly2sym(sym([1 2 3 4]),x) == p )) ***** assert(isAlways( poly2sym([a b c],x) == a*x^2 + b*x + c )) ***** assert(isAlways( poly2sym([a b c]) == a*x^2 + b*x + c )) ***** assert(isequal( poly2sym(sym([])), 0 )) ***** assert(isAlways( poly2sym({sym(1) sym(2)}, x) == x + 2 )) ***** assert(isequal( poly2sym ({1}), 1 )) ***** assert(isequal( poly2sym ({}), 0 )) ***** assert(isequal( poly2sym ({1}, x), 1 )) ***** assert(isequal( poly2sym ({}, x), 0 )) ***** assert(isAlways( poly2sym([x x], x) == x^2 + x )) ***** test % mixed cell array with doubles and syms assert (isequal (poly2sym ({2.0 sym(3) int64(4)}), 2*x^2 + 3*x + 4)) ***** test % string for x p = poly2sym ([1 2], 's'); syms s assert (isequal (p, s + 2)) 18 tests, 18 passed, 0 known failure, 0 skipped [inst/octsympy_tests.m] >>>>> /build/octave-symbolic-2.7.1/inst/octsympy_tests.m ***** assert(true) 1 test, 1 passed, 0 known failure, 0 skipped [inst/lambertw.m] >>>>> /build/octave-symbolic-2.7.1/inst/lambertw.m ***** assert (isequal (lambertw (0), 0)) ***** assert (isequal (lambertw (0, 0), 0)) ***** assert (lambertw (-1/exp(1)), -1, 2*eps) ***** assert (lambertw (0, -1/exp(1)), -1, 2*eps) ***** assert (lambertw (-1, -1/exp(1)), -1, 2*eps) ***** test x = [1 2 3 pi 10 100 1000 12345]; W = lambertw (x); assert (W.*exp (W), x, -3*eps) ***** test x = [1 2 3 pi 10 100 1000 12345]; k = [-3 -2 -1 0 1 2 3 4]; W = lambertw (k, x); assert (W.*exp (W), x, -10*eps) ***** test % input shape preserved x = [0 1; 2 3]; b = x; W = lambertw (b, x); assert (W.*exp (W), x, -10*eps) ***** test % input shape preserved x = [0 1; 2 3]; b = 0; W = lambertw (b, x); assert (W.*exp (W), x, -10*eps) ***** test % input shape preserved x = 10; b = [0 1; 2 3]; W = lambertw (b, x); assert (W.*exp (W), x*ones (size (b)), -10*eps) ***** assert (isnan (lambertw (nan))) ***** test % limiting behaviour as z large k = 3; A = lambertw (k, 1e100); assert (abs (imag (A) - 2*pi*k) < 0.1) ***** test % limiting behaviour as z large, up imag axis k = 1; A = lambertw (k, 1e100*1i); assert (abs (imag (A) - (2*k+0.5)*pi) < 0.1) ***** test % limiting behaviour as z large, down imag axis k = -2; A = lambertw (k, -1e100*1i); assert (abs (imag (A) - (2*k-0.5)*pi) < 0.1) ***** test % limiting behaviour as z large, near branch k = 3; A = lambertw (k, -1e100); B = lambertw (k, -1e100 + 1i); C = lambertw (k, -1e100 - 1i); assert (abs (imag (A) - (2*k+1)*pi) < 0.1) assert (abs (imag (B) - (2*k+1)*pi) < 0.1) assert (abs (imag (C) - (2*k-1)*pi) < 0.1) ***** test % infinities and nan A = lambertw ([inf exp(1) -inf nan]); B = [inf 1 inf + pi*1i nan]; assert (isequaln (A, B)) ***** test % infinities and nan A = lambertw (3, [inf 1 -inf nan]); B = [inf + 2*3*pi*1i lambertw(3,1) inf + (2*3+1)*pi*1i nan]; assert (isequaln (A, B)) ***** test % infinities and nan A = lambertw ([0 1 2 0], [inf -inf nan exp(1)]); B = [inf inf+3*pi*1i nan 1]; assert (isequaln (A, B)) ***** test % scalar infinity z, vector b A = lambertw ([1 2 -3], inf); B = [lambertw(1, inf) lambertw(2, inf) lambertw(-3, inf)]; assert (isequal (A, B)) ***** test % scalar -infinity z, vector b A = lambertw ([1 2 -3], -inf); B = [lambertw(1, -inf) lambertw(2, -inf) lambertw(-3, -inf)]; assert (isequal (A, B)) ***** test % scalar z nan, vector b A = lambertw ([1 2 -3], nan); B = [nan nan nan]; assert (isequaln (A, B)) 21 tests, 21 passed, 0 known failure, 0 skipped [inst/laguerreL.m] >>>>> /build/octave-symbolic-2.7.1/inst/laguerreL.m ***** assert (isequal (laguerreL (0, rand), 1)) ***** test x = rand; assert (isequal (laguerreL (1, x), 1 - x)) ***** test x=rand; y1=laguerreL(2, x); p2=[.5 -2 1]; y2=polyval(p2,x); assert(y1 - y2, 0, 10*eps); ***** test x=rand; y1=laguerreL(3, x); p3=[-1/6 9/6 -18/6 1]; y2=polyval(p3,x); assert(y1 - y2, 0, 20*eps); ***** test x=rand; y1=laguerreL(4, x); p4=[1/24 -16/24 72/24 -96/24 1]; y2=polyval(p4,x); assert(y1 - y2, 0, 30*eps) ***** error laguerreL(1.5, 10) ***** error laguerreL(10) ***** error laguerreL([0 1], [1 2 3]) ***** error laguerreL([0 1], [1; 2]) ***** test % numerically stable implementation (in n) L = laguerreL (10, 10); Lex = 1763/63; assert (L, Lex, -eps) L = laguerreL (20, 10); Lex = -177616901779/14849255421; % e.g., laguerreL(sym(20),10) assert (L, Lex, -eps) ***** test % vectorized x L = laguerreL (2, [5 6 7]); Lex = [3.5 7 11.5]; assert (L, Lex, eps) ***** test L = laguerreL (0, [4 5]); assert (L, [1 1], eps) ***** test % vector n L = laguerreL ([0 1 2 3], [4 5 6 9]); assert (L, [1 -4 7 -26], eps) ***** test % vector n, scalar x L = laguerreL ([0 1 2 3], 6); assert (L, [1 -5 7 1], eps) ***** assert (isa (laguerreL (0, single (1)), 'single')) ***** assert (isa (laguerreL (1, single ([1 2])), 'single')) ***** assert (isa (laguerreL ([1 2], single ([1 2])), 'single')) 17 tests, 17 passed, 0 known failure, 0 skipped [inst/heaviside.m] >>>>> /build/octave-symbolic-2.7.1/inst/heaviside.m ***** assert (heaviside (0) == 0.5) ***** assert (isnan (heaviside (nan))) ***** assert (isequal (heaviside ([-inf -eps 0 eps inf]), [0 0 0.5 1 1])) ***** assert (isequaln (heaviside ([-1 1 nan]), [0 1 nan])) ***** assert (heaviside (0, 1) == 1) ***** error heaviside (1i) ***** assert (isa (heaviside (single (0)), 'single')) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/finiteset.m] >>>>> /build/octave-symbolic-2.7.1/inst/finiteset.m ***** test s1 = finiteset(sym(1), 2, 2); s2 = finiteset(sym(1), 2, 2, 2); assert (isequal (s1, s2)) ***** test s1 = finiteset(sym(0), 1); s2 = finiteset(sym(0), 2, 3); s = finiteset(sym(0), 1, 2, 3); assert (isequal (s1 + s2, s)) ***** test e = finiteset(); s = finiteset(sym(1)); s2 = e + s; assert (isequal (s, s2)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/findsymbols.m] >>>>> /build/octave-symbolic-2.7.1/inst/findsymbols.m ***** test syms x b y n a arlo z = a*x + b*pi*sin (n) + exp (y) + exp (sym (1)) + arlo; s = findsymbols (z); assert (isequal ([s{:}], [a,arlo,b,n,x,y])) ***** test syms x s = findsymbols (x); assert (isequal (s{1}, x)) ***** test syms z x y a s = findsymbols ([x y; 1 a]); assert (isequal ([s{:}], [a x y])) ***** assert (isempty (findsymbols (sym (1)))) ***** assert (isempty (findsymbols (sym ([1 2])))) ***** assert (isempty (findsymbols (sym (nan)))) ***** assert (isempty (findsymbols (sym (inf)))) ***** assert (isempty (findsymbols (exp (sym (2))))) ***** test % empty sym for findsymbols, findsym, and symvar assert (isempty (findsymbols (sym([])))) assert (isempty (findsym (sym([])))) assert (isempty (symvar (sym([])))) ***** test % diff. assumptions make diff. symbols x1 = sym('x'); x2 = sym('x', 'positive'); f = x1*x2; assert (length (findsymbols (f)) == 2) ***** test % symfun or sym syms x f(y) a = f*x; b = f(y)*x; assert (isequal (findsymbols(a), {x y})) assert (isequal (findsymbols(b), {x y})) ***** test % findsymbols on symfun does not find the argnames (unless they % are on the RHS of course, this matches SMT 2014a). syms a x y f(x, y) = a; % const symfun assert (isequal (findsymbols(f), {a})) syms a x y f(x, y) = a*y; assert (isequal (findsymbols(f), {a y})) ***** test % sorts lexigraphically, same as symvar *with single input* % (note symvar does something different with 2 inputs). syms A B a b x y X Y f = A*a*B*b*y*X*Y*x; assert (isequal (findsymbols(f), {A B X Y a b x y})) assert (isequal (symvar(f), [A B X Y a b x y])) ***** test % symbols in matpow syms x y syms n A = [sin(x) 2; y 1]; B = A^n; L = findsymbols(B); assert (isequal (L, {n x y})) 14 tests, 14 passed, 0 known failure, 0 skipped [inst/fibonacci.m] >>>>> /build/octave-symbolic-2.7.1/inst/fibonacci.m ***** assert (isequal ( fibonacci (sym(0)), 0)) ***** assert (isequal ( fibonacci (sym(14)), sym(377))) ***** assert (isequal ( fibonacci (14), 377)) ***** test syms x assert (isequal (fibonacci (5,x), x^4 + 3*x^2 + 1)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/evalpy.m] >>>>> /build/octave-symbolic-2.7.1/inst/evalpy.m ***** test s = warning ('off', 'OctSymPy:deprecated'); x = 6; evalpy('y = 2*x;;', x); assert( y == 12 ) warning (s) ***** test s = warning ('off', 'OctSymPy:deprecated'); x = 6; evalpy('y = 2*x; x = 10; z = 3*x;;', x); assert( isequal( [x y z], [10 12 30] )) warning (s) ***** test s = warning ('off', 'OctSymPy:deprecated'); evalpy('_y = 42; x_ = 42'); assert( ~exist('_y', 'var')) assert( ~exist('x_', 'var')) warning (s) ***** test s = warning ('off', 'OctSymPy:deprecated'); evalpy('_y = "GNU Octave Rocks"; z = _y.split();;'); assert( iscell(z) ) assert( isequal (z, {'GNU', 'Octave','Rocks'} )) warning (s) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/eulergamma.m] >>>>> /build/octave-symbolic-2.7.1/inst/eulergamma.m ***** error catalan (sym(1)) ***** assert (double (eulergamma ()) > 0.577215664901) ***** assert (double (eulergamma ()) < 0.577215664902) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/dirac.m] >>>>> /build/octave-symbolic-2.7.1/inst/dirac.m ***** assert (isinf (dirac (0))) ***** assert (dirac (1) == 0) ***** assert (isnan (dirac (nan))) ***** assert (isequaln (dirac ([-1 1 0 eps inf -inf nan]), [0 0 inf 0 0 0 nan])) ***** error dirac (1i) ***** assert (isa (dirac (single (0)), 'single')) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/digits.m] >>>>> /build/octave-symbolic-2.7.1/inst/digits.m ***** test orig = digits(32); % to reset later m = digits(64); p = vpa(sym(pi)); assert (abs (double (sin(p))) < 1e-64) n = digits(m); assert (n == 64) p = vpa(sym(pi)); assert (abs (double (sin(p))) < 1e-32) assert (abs (double (sin(p))) > 1e-40) digits(orig) 1 test, 1 passed, 0 known failure, 0 skipped [inst/cell2sym.m] >>>>> /build/octave-symbolic-2.7.1/inst/cell2sym.m ***** test A = {1 2 3; 4 5 6}; B = [1 2 3; 4 5 6]; assert (isequal (cell2sym(A), sym(B))) ***** test A = {'a' 'b'; 'c' 10}; B = [sym('a') sym('b'); sym('c') sym(10)]; assert (isequal (cell2sym(A), B)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/catalan.m] >>>>> /build/octave-symbolic-2.7.1/inst/catalan.m ***** error catalan (sym(1)) ***** assert (double (catalan ()) > 0.915965594177) ***** assert (double (catalan ()) < 0.915965594178) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/assumptions.m] >>>>> /build/octave-symbolic-2.7.1/inst/assumptions.m ***** test syms x assert(isempty(assumptions(x))) ***** test x = sym('x', 'positive'); a = assumptions(x); assert(~isempty(strfind(a{1}, 'positive'))) ***** test syms x assert(isempty(assumptions(x))) ***** test clear variables % for matlab test script syms x positive assert(~isempty(assumptions())) clear x assert(isempty(assumptions())) ***** test % make sure we have at least these possible assumptions A = {'real' 'positive' 'negative' 'integer' 'even' 'odd' 'rational'}; B = assumptions('possible'); assert (isempty (setdiff(A, B))) ***** test A = assumptions('possible'); for i = 1:length(A) x = sym('x', A{i}); a = assumptions(x); assert(strcmp(a{1}, ['x: ' A{i}] )) s1 = sympy (x); s2 = ['Symbol(''x'', ' A{i} '=True)']; assert (strcmp (s1, s2)) end ***** test syms x positive syms y real syms z f = x*y*z; a = assumptions(f); assert(length(a) == 2) assert(~isempty(strfind(a{1}, 'positive'))) assert(~isempty(strfind(a{2}, 'real'))) ***** test % dict output syms x positive syms y real syms z f = x*y*z; [v, d] = assumptions(f, 'dict'); assert(length(v) == 2) assert(iscell(v)) assert(isa(v{1}, 'sym')) assert(isa(v{2}, 'sym')) assert(length(d) == 2) assert(iscell(d)) assert(isstruct(d{1})) assert(isstruct(d{2})) ***** test %% assumptions on just the vars in an expression clear variables % for matlab test script syms x y positive f = 2*x; assert(length(assumptions(f))==1) assert(length(assumptions())==2) ***** test %% assumptions in cell/struct clear variables % for matlab test script syms x y z w positive f = {2*x [1 2 y] {1, {z}}}; assert(length(assumptions())==4) assert(length(assumptions(f))==3) clear x y z w assert(length(assumptions())==3) assert(length(assumptions(f))==3) ***** test % multiple assumptions n = sym('n', 'negative', 'even'); assert (logical (n < 0)) assert (~(logical (n > 0))) assert (~(logical (n == -1))) ***** test % multiple assumptions: eqn neither true nor false n = sym('n', 'negative', 'even'); assert (~isequal (n, sym(true)) && ~isequal (n, sym(false))) ***** test %% TODO: rewrite later with https://github.com/cbm755/octsympy/issues/622 a = python_cmd ('return Symbol("a", real=False)'); assert (strcmp (assumptions (a), {'a: ~real'})) 13 tests, 13 passed, 0 known failure, 0 skipped [inst/assume.m] >>>>> /build/octave-symbolic-2.7.1/inst/assume.m ***** error a = assume('a', 'real') ***** error assume positive integer ***** error assume x y ***** error assume x clear real ***** error assume a>0 ***** error assume 'x/pi' integer ***** test syms x assume x positive a = assumptions(x); assert(strcmp(a, 'x: positive')) assume x even a = assumptions(x); assert(strcmp(a, 'x: even')) ***** test % multiple assumptions syms x assume x positive integer [tilde, a] = assumptions(x, 'dict'); assert(a{1}.integer) assert(a{1}.positive) ***** test % does workspace syms x positive x2 = x; f = sin(x); assume x negative a = assumptions(x); assert(strcmp(a, 'x: negative')) a = assumptions(x2); assert(strcmp(a, 'x: negative')) a = assumptions(f); assert(strcmp(a, 'x: negative')) ***** error % does not create new variable x clear x assume x real ***** error % no explicit variable named x clear x f = 2*sym('x'); assume x real ***** test % clear does workspace syms x positive f = 2*x; assume x clear assert (isempty (assumptions (f))); assert (isempty (assumptions ())); ***** test syms x y f = sin (2*x); assume x y real assert (strcmp (assumptions (x), 'x: real')) assert (strcmp (assumptions (y), 'y: real')) assert (strcmp (assumptions (f), 'x: real')) ***** test syms x y f = sin (2*x); assume x y positive even assert (strcmp (assumptions (x), 'x: positive, even') || strcmp (assumptions (x), 'x: even, positive')) assert (strcmp (assumptions (y), 'y: positive, even') || strcmp (assumptions (y), 'y: even, positive')) assert (strcmp (assumptions (f), 'x: positive, even') || strcmp (assumptions (f), 'x: even, positive')) ***** test % works from variable names not symbols syms x y a = [x y]; assume a real assert (strcmp (assumptions (x), 'x: real')) assert (strcmp (assumptions (y), 'y: real')) ***** test % works from variable names not symbols y = sym('x'); f = 2*y; assume y real assert (strcmp (assumptions (f), 'x: real')) ***** test % matrix of symbols syms a b c d A = [a b; c d]; assume A real assert (strcmp (assumptions (a), 'a: real')) assert (strcmp (assumptions (b), 'b: real')) assert (strcmp (assumptions (c), 'c: real')) assert (strcmp (assumptions (d), 'd: real')) ***** test % assume after symfun clear x syms f(x) assume x real assert (~ isempty (assumptions (formula (f)))) assert (~ isempty (assumptions (argnames (f)))) 18 tests, 18 passed, 0 known failure, 0 skipped [inst/@symfun/uminus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/uminus.m ***** test % Issue #447 syms x f(x) = x^2; assert (isa (-f, 'symfun')) ***** test syms f(x) h = -f; assert (isa (h, 'symfun')) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/times.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/times.m ***** test syms x f(x) = x^2; assert( isa(f .* f, 'symfun')) assert( isa(f .* x, 'symfun')) ***** test syms x f(x) = [x 2*x]; h = f.*[x 3]; assert( isa(h, 'symfun')) assert( isequal (h.sym, [x^2 6*x])) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/symvar.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/symvar.m ***** test % basic syms f(t, s) assert (isequal (symvar (f, 0), sym([]))) assert (isequal (symvar (f, 1), t)) assert (isequal (symvar (f, 2), [t s])) assert (isequal (symvar (f, 3), [t s])) ***** test % note preference for vars of symfun, if n requested syms x f(y) assert (isequal (symvar(f*x, 1), y)) assert (isequal (symvar(f(y)*x, 1), x)) ***** test % symfun, checked smt syms x f(y) a = f*x; b = f(y)*x; assert (isequal (symvar(a), [x y])) assert (isequal (symvar(b), [x y])) ***** test % preference for the explicit variables syms a x f(t, s) h = f*a + x; assert (isequal (symvar (h, 1), t)) assert (isequal (symvar (h, 2), [t s])) assert (isequal (symvar (h, 3), [t s x])) assert (isequal (symvar (h, 4), [t s x a])) assert (isequal (symvar (h, 5), [t s x a])) assert (isequal (symvar (h), [a s t x])) ***** test % symfun dep on some vars only, matches smt w/ n syms x s t f(s) = x; g(s, t) = x*s; assert (isequal (symvar(f, 1), s)) assert (isequal (symvar(f, 2), [s x])) assert (isequal (symvar(g, 1), s)) assert (isequal (symvar(g, 2), [s t])) assert (isequal (symvar(g, 3), [s t x])) ***** test % A documented difference from SMT on symvar(symfun) w/o n syms x s t f(s) = x; g(s, t) = x*s; % SMT would have %assert (isequal (symvar(f), x)) % no s %assert (isequal (symvar(g), [s x])) % no t assert (isequal (symvar(f), [s x])) assert (isequal (symvar(g), [s t x])) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@symfun/symfun.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/symfun.m ***** error symfun (1, sym('x'), 3) ***** error symfun ('f', sym('x')) ***** test syms x y syms f(x) assert(isa(f,'symfun')) clear f f(x,y) = sym('f(x,y)'); assert(isa(f,'symfun')) ***** test % symfuns are syms as well syms x f(x) = 2*x; assert (isa (f, 'symfun')) assert (isa (f, 'sym')) assert (isequal (f(3), 6)) assert (isequal (f(sin(x)), 2*sin(x))) ***** test syms x y f = symfun(sym('f(x)'), {x}); assert(isa(f, 'symfun')) f = symfun(sym('f(x,y)'), [x y]); assert(isa(f, 'symfun')) f = symfun(sym('f(x,y)'), {x y}); assert(isa(f, 'symfun')) ***** test % rhs is not sym syms x f = symfun(8, x); assert (isa (f,'symfun')) assert (isequal (f(10), sym(8))) ***** test % vector symfun syms x y F(x,y) = [1; 2*x; y; y*sin(x)]; assert (isa (F, 'symfun')) assert (isa (F, 'sym')) assert (isequal (F(sym(pi)/2,4) , [sym(1); sym(pi); 4; 4] )) ***** test x = sym('x'); y = sym('y'); f(x) = sym('f(x)'); g(x,y) = sym('g(x,y)'); % make sure these don't fail f(1); g(1,2); g(x,y); diff(g, x); diff(g, y); ***** test % defining 1D symfun in terms of a 2D symfun syms x y t syms 'g(x,y)' f(t) = g(t,t); f(5); assert (length (argnames (f)) == 1) assert (isequal (argnames (f), t)) assert (isequal( formula(diff(f,x)), sym(0))) ***** test % replace g with shorter and specific fcn syms x g(x) g; g(x) = 2*x; assert( isequal (g(5), 10)) ***** test % octave <= 3.8 needs quotes on 2D symfuns, so make sure it works syms x y syms 'f(x)' syms 'g(x,y)' assert (isa (f, 'symfun')) assert (isa (g, 'symfun')) ***** test % Bug #41: Octave <= 3.8 parser fails without quotes around 2D fcn syms x y eval('syms g(x,y)') assert (isa (g, 'symfun')) ***** test % and these days it works without eval trick syms g(x,y) assert (isa (g, 'symfun')) ***** test % syms f(x) without defining x clear x syms f(x) assert(isa(f, 'symfun')) assert(isa(x, 'sym')) ***** test % SMT compat: symfun indep var overwrites existing var t = 6; syms f(t) assert (logical (t ~= 6)) ***** test % SMT compat: symfun indep var overwrites existing var, even if sym syms x t = x; syms f(t) assert (~ logical (t == x)) ***** test syms x y f(x) = x^2; g(x,y) = sym('g(x,y)'); f2 = 2*f; assert( isequal (f2(4), 32)) assert( isa(f2, 'symfun')) assert( isa(2*g, 'symfun')) assert( isa(0*g, 'symfun')) % in SMT, this is the zero symfun ***** test % syms has its own parsing code, check it works syms f(x,y) g = f; syms f(x, y) assert (isequal (f, g)) syms 'f( x, y )' assert (isequal (f, g)) ***** test % syms own parsing code should not reorder the vars syms f(y, x) v = f.vars; assert (isequal (v{1}, y) && isequal (v{2}, x)) ***** test % assignment of symfun to symfun, issue #189 syms t x(t) = 2*t; y(t) = x; assert (isa (y, 'symfun')) y = symfun(x, t); assert (isa (y, 'symfun')) % others y = x; assert (isa (y, 'symfun')) y(t) = x(t); assert (isa (y, 'symfun')) ***** test % assignment of generic symfun to symfun syms t x(t) y(t) = x; assert (isa (y, 'symfun')) y = symfun(x, t); assert (isa (y, 'symfun')) ***** error % Issue #444: invalid args syms x f(x, x) = 2*x; ***** error % Issue #444: invalid args syms x y f(x, y, x) = x + y; ***** error % Issue #444: invalid args syms x y f(x, y, x) = x + y; ***** error % Issue #444: expression as arg syms x f(2*x) = 4*x; 25 tests, 25 passed, 0 known failure, 0 skipped [inst/@symfun/subsref.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/subsref.m ***** test syms x f(x) = x^2; v = f.vars; assert(iscell(v)) assert(length(v)==1) assert(isequal(v{1},x)) ***** test %% pass through to sym properties syms x f(x) = x^2; y = x^2; % not a symfun assert(strcmp(f.flat, y.flat)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/size.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/size.m ***** test syms x f(x) = x; d = size(f); assert (isequal (d, [1 1])) [n, m] = size(f); assert (isequal ([n m], [1 1])) assert (size(f, 1) == 1) assert (size(f, 2) == 1) ***** test syms x f(x) = [1 x]; d = size(f); assert (isequal (d, [1 1])) [n, m] = size(f); assert (isequal ([n m], [1 1])) assert (size(f, 1) == 1) assert (size(f, 2) == 1) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/rdivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/rdivide.m ***** test syms x f(x) = x^2; assert( isa(f./f, 'symfun')) assert( isa(f./[x x^2], 'symfun')) ***** test syms x f(x) = [x 2*x]; h = f./[x 2]; assert( isa(h, 'symfun')) assert( isequal (h.sym, [1 x])) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/private_disp_name.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/private_disp_name.m ***** test syms f(x) s = private_disp_name(f, 'f'); assert (strcmp (s, 'f(x)')) ***** test syms x y g(y, x) = x + y; s = private_disp_name(g, 'g'); assert (strcmp (s, 'g(y, x)')) ***** test syms f(x) assert (isempty (private_disp_name(f, ''))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@symfun/power.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/power.m ***** test syms x f(x) = 2*x; h = f.^f; assert( isa(h, 'symfun')) assert( isequal (h.sym, (2*x)^(2*x))) ***** test syms x f(x) = [x 2*x]; h = f.^[x 3]; assert( isa(h, 'symfun')) assert( isequal (h.sym, [x^x 8*x^3])) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/plus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/plus.m ***** test syms x f(x) = x^2; assert( isa(f + f, 'symfun')) assert( isa(f + x, 'symfun')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@symfun/numel.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/numel.m ***** test syms x f(x) = x^2; assert(numel(f)==1) ***** test syms x f(x) = [1 x]; assert(numel(f)==1) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/mtimes.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/mtimes.m ***** test syms x f(x) = x^2; assert( isa(f * f, 'symfun')) assert( isa(f * x, 'symfun')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@symfun/mrdivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/mrdivide.m ***** test syms x f(x) = x^2; assert( isa(f/f, 'symfun')) assert( isa(f/x, 'symfun')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@symfun/mpower.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/mpower.m ***** test syms x f(x) = 2*x; h = f^f; assert( isa(h, 'symfun')) assert( isequal(h.sym, (2*x)^(2*x))) h = f^sym(2); assert( isa(h, 'symfun')) assert( isequal(h.sym, 4*x^2)) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@symfun/mldivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/mldivide.m ***** test syms x f(x) = x^2; assert( isa(f\f, 'symfun')) assert( isa(f\x, 'symfun')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@symfun/minus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/minus.m ***** test syms x f(x) = x^2; assert( isa(f - f, 'symfun')) assert( isa(f - x, 'symfun')) ***** test % Octave bug #42735 fixed in 4.4.2 syms x f(x) = x^2; g = x^2; if (exist('OCTAVE_VERSION', 'builtin') && ... compare_versions (OCTAVE_VERSION (), '4.4.2', '<')) s = warning('off', 'OctSymPy:sym:arithmetic:workaround42735'); else s = warning(); end h = x - f; assert(isa(h, 'symfun') && isequal(h.sym, x - g)) h = x + f; assert(isa(h, 'symfun') && isequal(h.sym, x + g)) h = x * f; assert(isa(h, 'symfun') && isequal(h.sym, x * g)) h = x / f; assert(isa(h, 'symfun') && isequal(h.sym, x / g)) h = x ^ f; assert(isa(h, 'symfun') && isequal(h.sym, x ^ g)) h = x .* f; assert(isa(h, 'symfun') && isequal(h.sym, x .* g)) h = x ./ f; assert(isa(h, 'symfun') && isequal(h.sym, x ./ g)) h = x .^ f; assert(isa(h, 'symfun') && isequal(h.sym, x .^ g)) warning(s); ***** test % different variables syms x y f(x) = 2*x; g(y) = sin(y); h = f - g(x); assert( isa(h, 'symfun')) assert( isequal (argnames (h), argnames (f))) assert( isequal (h.sym, 2*x - sin(x))) % and even if rh-sym has a dummy variable: h = f - g(y); assert( isa(h, 'symfun')) assert( isequal (argnames (h), argnames(f))) assert( isequal (h.sym, 2*x - sin(y))) ***** test % different variables, f has more syms x y f(x,y) = 2*x*y; g(y) = sin(y); h = f - g(y) + g(x); assert( isa(h, 'symfun')) assert( isequal (argnames (h), argnames (f))) assert( isequal (h.sym, 2*x*y - sin(y) + sin(x))) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@symfun/ldivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/ldivide.m ***** test syms x f(x) = x^2; assert( isa(f .\ f, 'symfun')) assert( isa(f .\ x, 'symfun')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@symfun/isequaln.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/isequaln.m ***** error isequaln (symfun('x + 1', x)) ***** test syms x y f(x) = 2*x; g(x) = 2*x; assert (isequaln (f, g)) ***** test syms x f(x) = 2*x + 1; g(x) = 2*x + 1; h(x) = 2*x + 1; assert (isequaln (f, g, h)) ***** test syms x f(x) = 2*x + 1; g(x) = 2*x + 1; h(x) = 2*x; assert (~ isequaln (f, g, h)) ***** test syms x y f(x) = 2*x; g(x, y) = 2*x; assert (~ isequaln (f, g)) ***** test syms x y f(x) = symfun(nan, x); g(x) = symfun(nan, x); assert (isequaln (f, g)) ***** test syms x y f(x) = symfun(nan, x); g(x, y) = symfun(nan, x); assert (~ isequaln (f, g)) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@symfun/isequal.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/isequal.m ***** error isequal (symfun('x + 1', x)) ***** test syms x y f(x) = 2*x; g(x) = 2*x; assert (isequal (f, g)) ***** test syms x f(x) = 2*x + 1; g(x) = 2*x + 1; h(x) = 2*x + 1; assert (isequal (f, g, h)) ***** test syms x f(x) = 2*x + 1; g(x) = 2*x + 1; h(x) = 2*x; assert (~ isequal (f, g, h)) ***** test syms x y f(x) = 2*x; g(x, y) = 2*x; assert (~ isequal (f, g)) ***** test syms x y f(x) = symfun(nan, x); g(x) = symfun(nan, x); assert (~ isequal (f, g)) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@symfun/int.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/int.m ***** test % indefinite integral of symfun gives symfun syms x f(x) = x^2; g = int(f); assert (isa(g, 'symfun')) g = int(f, x); assert (isa(g, 'symfun')) ***** test % indefinite integral of abstract symfun gives symfun syms f(x) g = int(f); assert (isa(g, 'symfun')) g = int(f, x); assert (isa(g, 'symfun')) ***** test % definite integral does not give symfun syms x f(x) = x^2; g = int(f, x, 0, 2); assert (isa(g, 'sym')) assert (~isa(g, 'symfun')) ***** test % ... even if it has a variable in it syms x t f(x) = x; g = int(f, x, 0, t); assert (isa(g, 'sym')) assert (~isa(g, 'symfun')) ***** test % ... even if the input is abstract funcion syms f(x) g = int(f, x, 0, 2); assert (isa(g, 'sym')) assert (~isa(g, 'symfun')) ***** test % symfun in x, integrated in y gives symfun still in x % (SMT does this too). syms f(x) y g = int(f, y); assert (isa (g, 'symfun')) assert (isequal (argnames (g), x)) ***** test % same as above, but concrete symfun syms x y f(x) = x^2; g = int(f, y); assert (isa (g, 'symfun')) assert (isequal (argnames (g), x)) assert (isequal (formula(g), x^2*y)) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@symfun/formula.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/formula.m ***** test % simple syms x f(x) = sin(x); g = formula(f); assert (isequal (g, sin(x))); ***** test % concrete: return is a sym, not a symfun syms x f(x) = sin(x); g = formula(f); assert (~isa(g, 'symfun')); ***** test % abstract: return is a sym, not a symfun syms f(x) g = formula(f); assert (~isa(g, 'symfun')); 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@symfun/diff.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/diff.m ***** test % concrete fcn syms x f(x) = x*x; g(x) = 2*x; assert (logical (diff(f) == g)) assert (isa (diff(f), 'symfun')) ***** test % abstract fcn syms y(x) assert (logical (diff(y) == diff(y(x)))) assert (isa (diff(y), 'symfun')) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@symfun/argnames.m] >>>>> /build/octave-symbolic-2.7.1/inst/@symfun/argnames.m ***** test % basic test syms f(x) assert (isequal (argnames (f), x)) ***** test % Multiple variables, abstract symfun syms f(t, x, y) assert (isequal (argnames (f), [t x y])) ***** test % Concrete symfun syms x y z t f(t, x, y) = x + y + z; assert (isequal (argnames (f), [t x y])) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/linspace.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/linspace.m ***** test a = linspace(sym(3), 5, 5); b = [sym(6) 7 8 9 10]/2; assert (isequal (a, b)) ***** test % non-integers A = linspace(0, sym(pi), 10); assert (length (A) == 10); assert (isequal (A(6), 5*sym(pi)/9)); ***** test % default argument for N A = linspace(1, 100); assert (length (A) == 100); ***** test % special case for just N = 1 A = linspace(sym(2), 3, 1); assert (isequal (A, 3)) A = linspace(sym(2), 3, 0); assert (isequal (A, 3)) A = linspace(sym(2), 3, sym(3)/2); assert (isequal (A, 3)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/zeta.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/zeta.m ***** error zeta (sym(1), 2, 3) ***** assert (isequaln (zeta (sym(nan)), sym(nan))) ***** test f1 = zeta (sym(2)); f2 = pi^2/6; assert (double (f1), f2, -1e-15) ***** test A = sym([0 2; 4 6]); f1 = zeta (A); f2 = [-1/2 pi^2/6; pi^4/90 pi^6/945]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); f = zeta (y); h = function_handle (f); A = zeta (2); B = h (2); assert (A, B, -eps) end ***** xtest % https://github.com/sympy/sympy/issues/11802 if (python_cmd ('return Version(spver) > Version("1.1.1")')) assert (double (zeta (sym (3), 4)), -0.07264084989132137196, -1e-14) end !!!!! known failure Python exception: RecursionError: maximum recursion depth exceeded in __instancecheck__ occurred at line 6 of the Python code block: x = complex(x) ***** test if (python_cmd ('return Version(spver) > Version("1.1.1")')) syms x assert (isequal (zeta (0, x), zeta(x))) end ***** test % ensure its the nth deriv wrt x, not the n deriv if (python_cmd ('return Version(spver) > Version("1.1.1")')) syms x n F = zeta (n, x); F = subs(F, n, 3); assert (isequal (F, diff (zeta (x), x, x, x))) end 8 tests, 7 passed, 1 known failure, 0 skipped [inst/@sym/zeros.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/zeros.m ***** test y = zeros(sym(2)); x = [0 0; 0 0]; assert( isequal( y, sym(x))) ***** test y = zeros(sym(2), 1); x = [0; 0]; assert( isequal( y, sym(x))) ***** test y = zeros(sym(1), 2); x = [0 0]; assert( isequal( y, sym(x))) ***** assert( isa( zeros(sym(2), 'double'), 'double')) ***** assert( isa( zeros(3, sym(3), 'single') , 'single')) ***** assert( isa( zeros(3, sym(3)), 'sym')) ***** assert( isa( zeros(3, sym(3), 'sym'), 'sym')) ***** xtest % Issue #13 assert( isa( zeros(3, 3, 'sym'), 'sym')) !!!!! known failure invalid data type specified 8 tests, 7 passed, 1 known failure, 0 skipped [inst/@sym/xor.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/xor.m ***** shared t, f t = sym(true); f = sym(false); ***** test % simple assert (isequal (xor(t, f), t)) assert (isequal (xor(t, t), f)) ***** test % array w = [t t f f]; z = [t f t f]; assert (isequal (xor(w, z), [f t t f])) ***** xtest % output is sym even for scalar t/f % ₣IXME: should match other bool fcns assert (isa (xor(t, f), 'sym')) ***** test % eqns syms x e = xor(x == 4, x == 5); assert (isequal (subs(e, x, [3 4 5 6]), [f t t f])) ***** test % eqns, exclusive syms x e = xor(x == 3, x^2 == 9); assert (isequal (subs(e, x, [-3 0 3]), [t f f])) ***** error xor (sym('x'), 1, 2) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/vertcat.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/vertcat.m ***** test % basic syms x A = [x; x]; B = vertcat(x, x); C = vertcat(x, x, x); assert (isa (A, 'sym')) assert (isa (B, 'sym')) assert (isa (C, 'sym')) assert (isequal (size(A), [2 1])) assert (isequal (size(B), [2 1])) assert (isequal (size(C), [3 1])) ***** test % basic, part 2 syms x A = [x; 1]; B = [1; x]; C = [1; 2; x]; assert (isa (A, 'sym')) assert (isa (B, 'sym')) assert (isa (C, 'sym')) assert (isequal (size(A), [2 1])) assert (isequal (size(B), [2 1])) assert (isequal (size(C), [3 1])) ***** test % column vectors a = [sym(1); 2]; b = [sym(3); 4]; assert (isequal ( [a;b] , [1; 2; 3; 4] )) assert (isequal ( [a;b;a] , [1; 2; 3; 4; 1; 2] )) ***** test % row vectors a = [sym(1) 2]; b = [sym(3) 4]; assert (isequal ( [a;b] , [1 2; 3 4] )) assert (isequal ( [a;b;a] , [1 2; 3 4; 1 2] )) ***** test % row vector, other row a = [sym(1) 2]; assert (isequal ( [a; [sym(3) 4]] , [1 2; 3 4] )) ***** test % empty vectors v = [sym(1) sym(2)]; a = [v; []]; assert (isequal (a, v)) a = [[]; v; []]; assert (isequal (a, v)) a = [v; []; []]; assert (isequal (a, v)) ***** xtest % FIXME: is this Octave bug? worth worrying about syms x a = [x; [] []]; assert (isequal (a, x)) !!!!! known failure octave_base_value::map_value(): wrong type argument 'null_matrix' ***** test % more empty vectors v = [sym(1) sym(2)]; q = sym(ones(0, 2)); assert (isequal ([v; q], v)) ***** error v = [sym(1) sym(2)]; q = sym(ones(0, 3)); w = vertcat(v, q); ***** test % Octave 3.6 bug: should pass on 3.8.1 and matlab a = [sym(1) 2]; assert (isequal ( [a; [3 4]] , [1 2; 3 4] )) assert (isequal ( [a; sym(3) 4] , [1 2; 3 4] )) % more examples syms x [x [x x]; x x x]; [[x x] x; x x x]; [[x x] x; [x x] x]; [x x x; [x x] x]; ***** test % issue #700 A = sym ([1 2]); B = simplify (A); assert (isequal ([B; A], [A; B])) 11 tests, 10 passed, 1 known failure, 0 skipped [inst/@sym/uplus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/uplus.m ***** test syms x assert (isa (+x, 'sym')) assert (isequal (+x, x)) ***** test A = sym([0 -1 inf]); assert( isequal ( +A, A)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/unique.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/unique.m ***** test A = sym([1 2 3 3 5 3 2 6 5]); B = sym([1 2 3 5 6]); assert (isequal (unique(A), B)) ***** test syms x y A = [1 2 3 3 4 5 5 6 7 7 x x y y]; B = [1 2 3 4 5 6 7 x y]; assert (isequal (unique(A), B)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/union.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/union.m ***** test A = sym([1 2 3]); B = sym([1 2 4]); C = union(A, B); D = sym([1 2 3 4]); assert (isequal (C, D)) ***** test % one nonsym A = sym([1 2 3]); B = [1 2 4]; C = union(A, B); D = sym([1 2 3 4]); assert (isequal (C, D)) ***** test % empty A = sym([1 2 3]); C = union(A, A); assert (isequal(C, A)) ***** test % empty input A = sym([1 2]); C = union(A, []); assert (isequal (C, sym([1 2]))) ***** test % scalar syms x assert (isequal (union([x 1], x), [1 x])) assert (isequal (union(x, x), x)) ***** test A = interval(sym(1), 3); B = interval(sym(2), 5); C = union(A, B); assert( isequal( C, interval(sym(1), 5))) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/uminus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/uminus.m ***** test % scalar syms x assert (isa (-x, 'sym')) assert (isequal (-(-x), x)) ***** test % matrix D = [0 1; 2 3]; A = sym(D); assert( isequal( -A, -D )) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/triu.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/triu.m ***** test % scalar syms x assert (isequal (triu(x), x)) assert (isequal (triu(x,0), x)) assert (isequal (triu(x,1), 0)) assert (isequal (triu(x,-1), 0)) ***** test % with symbols syms x A = [x 2*x; 3*x 4*x]; assert (isequal (triu(A), [x 2*x; 0 4*x])) ***** test % diagonal shifts B = round(10*rand(3,4)); A = sym(B); assert (isequal (triu(A), triu(B))) assert (isequal (triu(A,0), triu(B,0))) assert (isequal (triu(A,1), triu(B,1))) assert (isequal (triu(A,-1), triu(B,-1))) ***** test % double array pass through B = round(10*rand(3,4)); assert (isequal (triu(B,sym(1)), triu(B,1))) assert (isa (triu(B,sym(1)), 'double')) ***** test % immutable test A = sym('ImmutableDenseMatrix([[Integer(1), Integer(2)], [Integer(3), Integer(4)]])'); assert (isequal (triu (A), sym ([1 2; 0 4]))) assert (isequal (tril (A), sym ([1 0; 3 4]))) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/tril.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/tril.m ***** test syms x assert (isequal (tril(x), x)) ***** test % with symbols syms x A = [x 2*x; 3*x 4*x]; assert (isequal (tril(A), [x 0; 3*x 4*x])) ***** test % diagonal shifts B = round(10*rand(3,4)); A = sym(B); assert (isequal (tril(A), tril(B))) assert (isequal (tril(A,0), tril(B,0))) assert (isequal (tril(A,1), tril(B,1))) assert (isequal (tril(A,-1), tril(B,-1))) ***** test % double array pass through B = round(10*rand(3,4)); assert (isequal (tril(B,sym(1)), tril(B,1))) assert (isa (tril(B,sym(1)), 'double')) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/transpose.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/transpose.m ***** test x = sym(1); assert (isequal (x.', x)) ***** assert (isempty (sym([]).')) ***** test syms x; assert (isequal (x.', x)) ***** test A = [1 2; 3 4]; assert(isequal( sym(A).' , sym(A.') )) ***** test A = [1 2] + 1i; assert(isequal( sym(A).' , sym(A.') )) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/trace.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/trace.m ***** test % scalar syms x assert (isequal (trace(x), x)) ***** test syms x A = [x 3; 2*x 5]; assert (isequal (trace(A), x + 5)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/toeplitz.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/toeplitz.m ***** test % rect R = [10 20 40]; C = [10 30]; A = sym(toeplitz(R,C)); B = toeplitz(sym(R),sym(C)); assert (isequal (A, B)) R = [10 20]; C = [10 30 50]; A = sym(toeplitz(R,C)); B = toeplitz(sym(R),sym(C)); assert (isequal (A, B)) ***** test % symbols syms x y R = [10 20 40]; C = [10 30]; Rs = [10 x 40]; Cs = [10 y]; A = toeplitz(R,C); B = toeplitz(Rs,Cs); assert (isequal (A, subs(B,[x,y],[20 30]))) ***** test % hermitian syms a b c A = [a b c; conj(b) a b; conj(c) conj(b) a]; B = toeplitz([a,b,c]); assert (isequal( A, B)) ***** warning % mismatch syms x B = toeplitz([10 x], [1 3 x]); ***** warning % scalar B = toeplitz(sym(2), 3); assert (isequal (B, sym(2))) ***** test % mismatch syms x y fprintf('\n one warning expected\n') % how to quiet this one? A = toeplitz([10 2], [1 3 5]); s = warning ('off', 'OctSymPy:toeplitz:diagconflict'); B = toeplitz([10 x], [1 3 y]); warning(s) assert (isequal (A, subs(B, [x,y], [2 5]))) one warning expected warning: toeplitz: column wins diagonal conflict 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/times.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/times.m ***** test % scalar syms x assert (isa (x.*2, 'sym')) assert (isequal (x.*2, x*2)) assert (isequal (2.*sym(3), sym(6))) assert (isequal (sym(2).*3, sym(6))) ***** test % matrix-matrix and matrix-scalar D = [0 1; 2 3]; A = sym(D); assert (isequal ( 2.*A , 2*D )) assert (isequal ( A.*2 , 2*D )) assert (isequal ( A.*A , D.*D )) assert (isequal ( A.*D , D.*D )) assert (isequal ( D.*A , D.*D )) ***** test % immutable test A = sym([1 2]); B = sym('ImmutableDenseMatrix([[Integer(1), Integer(2)]])'); assert (isequal (A.*A, B.*B)) ***** test % MatrixSymbol test A = sym([1 2; 3 4]); B = sym('ImmutableDenseMatrix([[Integer(1), Integer(2)], [Integer(3), Integer(4)]])'); C = sym('MatrixSymbol("C", 2, 2)'); assert (~ isempty (strfind (sympy (C.*C), 'Hadamard'))) assert (~ isempty (strfind (sympy (A.*C), 'Hadamard'))) assert (~ isempty (strfind (sympy (C.*A), 'Hadamard'))) assert (~ isempty (strfind (sympy (B.*C), 'Hadamard'))) assert (~ isempty (strfind (sympy (C.*B), 'Hadamard'))) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/taylor.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/taylor.m ***** test syms x f = exp(x); expected = 1 + x + x^2/2 + x^3/6 + x^4/24 + x^5/120; assert (isequal (taylor(f), expected)) assert (isequal (taylor(f,x), expected)) assert (isequal (taylor(f,x,0), expected)) ***** test syms x f = exp(x); expected = 1 + x + x^2/2 + x^3/6 + x^4/24; assert (isequal (taylor(f,'order',5), expected)) assert (isequal (taylor(f,x,'order',5), expected)) assert (isequal (taylor(f,x,0,'order',5), expected)) ***** test % key/value ordering doesn't matter syms x f = exp(x); g1 = taylor(f, 'expansionPoint', 1, 'order', 3); g2 = taylor(f, 'order', 3, 'expansionPoint', 1); assert (isequal (g1, g2)) ***** test syms x f = x^2; assert (isequal (taylor(f,x,0,'order',0), 0)) assert (isequal (taylor(f,x,0,'order',1), 0)) assert (isequal (taylor(f,x,0,'order',2), 0)) assert (isequal (taylor(f,x,0,'order',3), x^2)) assert (isequal (taylor(f,x,0,'order',4), x^2)) ***** test syms x y f = exp(x)+exp(y); expected = 2 + x + x^2/2 + x^3/6 + x^4/24 + y + y^2/2 + y^3/6 + y^4/24; assert (isAlways(taylor(f,[x,y],'order',5)== expected)) assert (isAlways(taylor(f,[x,y],[0,0],'order',5) == expected)) ***** test % key/value ordering doesn't matter syms x f = exp(x); g1 = taylor(f, 'expansionPoint', 1, 'order', 3); g2 = taylor(f, 'order', 3, 'expansionPoint', 1); assert (isequal (g1, g2)) ***** test syms x f = x^2; assert (isequal (taylor(f,x,0,'order',0), 0)) assert (isequal (taylor(f,x,0,'order',1), 0)) assert (isequal (taylor(f,x,0,'order',2), 0)) assert (isequal (taylor(f,x,0,'order',3), x^2)) assert (isequal (taylor(f,x,0,'order',4), x^2)) ***** test % syms for a and order syms x f = x^2; assert (isequal (taylor(f,x,sym(0),'order',sym(2)), 0)) assert (isequal (taylor(f,x,sym(0),'order',sym(4)), x^2)) ***** test syms x y f = exp (x^2 + y^2); expected = 1+ x^2 +y^2 + x^4/2 + x^2*y^2 + y^4/2; assert (isAlways(taylor(f,[x,y],'order',5)== expected)) assert (isAlways(taylor(f,[x,y],'expansionPoint', [0,0],'order',5) == expected)) ***** test syms x y f = sqrt(1+x^2+y^2); expected = 1+ x^2/2 +y^2/2 - x^4/8 - x^2*y^2/4 - y^4/8; assert (isAlways(taylor(f,[x,y],'order',6)== expected)) assert (isAlways(taylor(f,[x,y],'expansionPoint', [0,0],'order',5) == expected)) ***** test syms x y f = sin (x^2 + y^2); expected = sin(sym(1))+2*cos(sym(1))*(x-1)+(cos(sym(1))-2*sin(sym(1)))*(x-1)^2 + cos(sym(1))*y^2; assert (isAlways(taylor(f,[x,y],'expansionPoint', [1,0],'order',3) == expected)) ***** test % key/value ordering doesn't matter syms x y f = exp(x+y); g1 = taylor(f, 'expansionPoint',1, 'order', 3); g2 = taylor(f, 'order', 3, 'expansionPoint',1); assert (isAlways(g1== g2)) ***** test syms x y f = x^2 + y^2; assert (isAlways(taylor(f,[x,y],[0,0],'order',0)== sym(0) )) assert (isAlways(taylor(f,[x,y],[0,0],'order',1)== sym(0) )) assert (isAlways(taylor(f,[x,y],[0,0],'order',2)== sym(0) )) assert (isAlways(taylor(f,[x,y],[0,0],'order',3)== sym(x^2 + y^2))) assert (isAlways(taylor(f,[x,y],[0,0],'order',4)== sym(x^2 + y^2))) ***** test % expansion point syms x a f = x^2; g = taylor(f,x,2); assert (isequal (simplify(g), f)) assert (isequal (g, 4*x+(x-2)^2-4)) g = taylor(f,x,a); assert (isequal (simplify(g), f)) ***** test % wrong order-1 series with nonzero expansion pt: % upstream bug https://github.com/sympy/sympy/issues/9351 if (python_cmd ('return Version(spver) > Version("1.0")')) syms x g = x^2 + 2*x + 3; h = taylor (g, x, 4, 'order', 1); assert (isequal (h, 27)) end ***** test syms x y z g = x^2 + 2*y + 3*z; h = taylor (g, [x,y,z], 'order', 4); assert (isAlways(h == g)) ; ***** test syms x y z g = sin(x*y*z); h = taylor (g, [x,y,z], 'order', 4); assert (isAlways(h == x*y*z)) ; ***** error syms x y taylor(0, [x, y], [1, 2, 3]); 18 tests, 18 passed, 0 known failure, 0 skipped [inst/@sym/tanh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/tanh.m ***** error tanh (sym(1), 2) ***** assert (isequaln (tanh (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = tanh(x); f2 = tanh(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = tanh(A); f2 = tanh(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = tanh (d); f = tanh (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/tand.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/tand.m ***** error tand (sym(1), 2) ***** assert (isequaln (tand (sym(nan)), sym(nan))) ***** test f1 = tand (sym(1)); f2 = tand (1); assert (double (f1), f2, -eps) ***** test D = [10 30; 110 -45]; A = sym(D); f1 = tand (A); f2 = tand (D); assert (double (f1), f2, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/tan.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/tan.m ***** error tan (sym(1), 2) ***** assert (isequaln (tan (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = tan(x); f2 = tan(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = tan(A); f2 = tan(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = tan (d); f = tan (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/symvar.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/symvar.m ***** error symvar (sym(1), 2, 3) ***** test %% some empty cases assert (isempty (symvar (sym(1)))); assert (isempty (symvar (sym(1),1))); assert (isempty (symvar (sym(1),0))); assert (isempty (symvar (sym('x'),0))); ***** shared x,y,f x=sym('x'); y=sym('y'); f=x^2+3*x*y-y^2; ***** assert (isequal (symvar (f), [x y])); ***** assert (isequal (symvar (f, 1), x)); ***** test %% closest to x syms x y a b c xx alpha = sym('alpha'); % https://www.mathworks.com/matlabcentral/newsreader/view_thread/237730 assert( isequal (symvar (b*xx*exp(alpha) + c*sin(a*y), 2), [xx y])) %% tests to match Matlab R2013b ***** shared x,y,z,a,b,c,X,Y,Z syms x y z a b c X Y Z ***** test %% X,Y,Z first if no 2nd argument s = prod([x y z a b c X Y Z]); assert (isequal( symvar (s), [X Y Z a b c x y z] )) ***** test %% uppercase have *low* priority with argument? s = prod([x y z a b c X Y Z]); assert (isequal (symvar (s,4), [x, y, z, c] )) ***** test %% closest to x s = prod([y z a b c Y Z]); assert (isequal( symvar (s,6), [ y, z, c, b, a, Y] )) s = prod([a b c Y Z]); assert (isequal( symvar (s,4), [ c, b, a, Y] )) ***** test %% upper case letters in correct order s = X*Y*Z; assert (isequal( symvar (s,3), [X Y Z] )) ***** test % diff. assumptions make diff. symbols x1 = sym('x'); x2 = sym('x', 'positive'); f = x1*x2; assert (length (symvar (f)) == 2) z = symvar (f, 1); assert (xor (isequal (z, x1), isequal (z, x2))) 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@sym/symsum.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/symsum.m ***** error symsum (sym(1), 2, 3, 4, 5) ***** test % finite sums syms n assert (isequal (symsum(n,n,1,10), 55)) assert(isa(symsum(n,n,1,10), 'sym')) assert (isequal (symsum(n,n,sym(1),sym(10)), 55)) assert (isequal (symsum(n,n,sym(1),sym(10)), 55)) assert (isequal (symsum(1/n,n,1,10), sym(7381)/2520)) ***** test % negative limits syms n assert (isequal (symsum(n,n,-3,3), sym(0))) assert (isequal (symsum(n,n,-3,0), sym(-6))) assert (isequal (symsum(n,n,-3,-1), sym(-6))) ***** test % one input syms n f = symsum (n); g = n^2/2 - n/2; assert (isequal (f, g)) f = symsum (2*n); g = n^2 - n; assert (isequal (f, g)) ***** test % constant input f = symsum (sym(2)); syms x g = 2*x; assert (isequal (f, g)) ***** test % two inputs syms n f = symsum (2*n, n); g = n^2 - n; assert (isequal (f, g)) ***** test % two inputs, second is range syms n f = symsum (n, [1 6]); g = 21; assert (isequal (f, g)) f = symsum (n, [sym(1) 6]); g = 21; assert (isequal (f, g)) f = symsum (2*n, [1 6]); g = 2*21; assert (isequal (f, g)) ***** test % three inputs, last is range syms n f = symsum (2*n, n, [1 4]); g = sym(20); assert (isequal (f, g)) f = symsum (2*n, n, [sym(1) 4]); g = sym(20); assert (isequal (f, g)) f = symsum (2, n, [sym(1) 4]); g = sym(8); assert (isequal (f, g)) ***** test % three inputs, no range syms n f = symsum (2*n, 1, 4); g = sym(20); assert (isequal (f, g)) f = symsum (5, sym(1), 3); g = sym(15); assert (isequal (f, g)) ***** test % ok to use double's for arguments in infinite series syms n oo assert(isequal(symsum(1/n^2,n,1,oo), sym(pi)^2/6)) assert(isequal(symsum(1/n^2,n,1,inf), sym(pi)^2/6)) ***** test % should be oo because 1 is real but seems to be % zoo/oo depending on sympy version syms n oo zoo = sym('zoo'); assert (isequal (symsum(1/n,n,1,oo), oo) || ... isequal (symsum(1/n,n,1,oo), zoo)) 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/symreplace.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/symreplace.m ***** test % start with assumptions on x then remove them syms x positive f = x*10; symreplace(x, sym('x')) assert(isempty(assumptions(x))) ***** test % replace x with y syms x f = x*10; symreplace(x, sym('y')) assert( isequal (f, 10*sym('y'))) ***** test % gets inside cells syms x f = {x 1 2 {3 4*x}}; symreplace(x, sym('y')) syms y assert( isequal (f{1}, y)) assert( isequal (f{4}{2}, 4*y)) ***** test % gets inside structs/cells syms x my.foo = {x 1 2 {3 4*x}}; my.bar = x; g = {'ride' my 'motor' 'sicle'}; symreplace(x, sym('y')) syms y f = g{2}; assert( isequal (f.foo{1}, y)) assert( isequal (f.foo{4}{2}, 4*y)) assert( isequal (f.bar, y)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/sympy.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sympy.m ***** assert (strcmp (sympy (sym(pi)), 'pi')) ***** assert (strcmp (sympy (sym(1)), 'Integer(1)')) ***** assert (strcmp (sympy (sym(2)/3), 'Rational(2, 3)')) ***** assert (strcmp (sympy (sym('x')), 'Symbol(''x'')')) ***** test x = sym('x'); assert (isequal (sym(sympy(x)), x)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/symprod.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/symprod.m ***** error symprod (sym(1), 2, 3, 4, 5) ***** test % simple syms n assert (isequal (symprod(n, n, 1, 10), factorial(sym(10)))) assert (isequal (symprod(n, n, sym(1), sym(10)), factorial(10))) ***** test % one input syms n f = symprod (n); g = factorial (n); assert (isequal (f, g)) f = symprod (2*n); g = 2^n * factorial (n); assert (isequal (f, g)) ***** test % constant input f = symprod (sym(2)); syms x g = 2^x; assert (isequal (f, g)) ***** test % two inputs syms n f = symprod (2*n, n); g = 2^n * factorial (n); assert (isequal (f, g)) ***** test % two inputs, second is range syms n f = symprod (n, [1 6]); g = 720; assert (isequal (f, g)) f = symprod (n, [sym(1) 6]); g = 720; assert (isequal (f, g)) f = symprod (2*n, [1 6]); g = sym(2)^6*720; assert (isequal (f, g)) ***** test % three inputs, last is range syms n f = symprod (2*n, n, [1 4]); g = sym(384); assert (isequal (f, g)) f = symprod (2*n, n, [sym(1) 4]); g = sym(384); assert (isequal (f, g)) f = symprod (2, n, [sym(1) 4]); g = sym(16); assert (isequal (f, g)) ***** test % three inputs, no range syms n f = symprod (2*n, 1, 4); g = sym(384); assert (isequal (f, g)) f = symprod (5, sym(1), 3); g = sym(125); assert (isequal (f, g)) ***** test % infinite product syms a n oo zoo = sym('zoo'); assert (isequal (symprod(a, n, 1, oo), a^oo)) assert (isequal (symprod(a, n, 1, inf), a^oo)) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/sym2poly.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sym2poly.m ***** shared x,y,a,b,c syms x y a b c ***** assert (isequal (sym2poly (x^2 + 3*x - 4), [1 3 -4])) ***** assert (isequal (sym2poly (x^6 - x^3), [1 0 0 -1 0 0 0])) ***** assert (isequal (sym2poly (x^2 + 3*x - 4, x), [1 3 -4])) ***** assert (norm (sym2poly (pi*x^2 + exp(sym(1))) - [pi 0 exp(1)]) < 10*eps) ***** assert (isa (sym2poly (x^2 + 3*x - 4), 'double')) ***** assert (isa (sym2poly (x^2 + 3*x - 4, x), 'sym')) ***** assert (isequal (sym2poly (x^2+y*x, x), [sym(1) y sym(0)])) ***** assert (isequal (sym2poly (x^2+y*x, y), [x x^2])) ***** assert (isequal (sym2poly (poly2sym ([a b c], x), x), [a b c])) ***** assert (isequal (poly2sym (sym2poly(a*x^2 + c, x), x), a*x^2 + c)) ***** assert (isequal (sym2poly (poly2sym ([1 2 3])), [1 2 3])) ***** error % too many symbols for single-input p = a*x^2 + 2; c = sym2poly (p); 12 tests, 12 passed, 0 known failure, 0 skipped [inst/@sym/sym.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sym.m ***** test % integers x = sym ('2'); y = sym (2); assert (isa (x, 'sym')) assert (isa (y, 'sym')) assert (isequal (x, y)) ***** test % infinity for x = {'inf', '-inf', inf, -inf, 'Inf'} y = sym (x{1}); assert (isa (y, 'sym')) assert (isinf (double (y))) assert (isinf (y)) end ***** test % pi x = sym ('pi'); assert (isa (x, 'sym')) assert (isequal (sin (x), sym (0))) assert (abs (double (x) - pi) < 2*eps ) x = sym (pi); assert (isa (x, 'sym')) assert (isequal (sin (x), sym (0))) assert (abs (double (x) - pi) < 2*eps ) ***** test % rationals x = sym(1) / 3; assert (isa (x, 'sym')) assert (isequal (3*x - 1, sym (0))) x = 1 / sym (3); assert (isa (x, 'sym')) assert (isequal (3*x - 1, sym (0))) x = sym ('1/3'); assert (isa (x, 'sym')) assert (isequal (3*x - 1, sym (0))) ***** test % passing small rationals x = sym ('1/2'); assert (double (x) == 1/2 ) assert (isequal (2*x, sym (1))) ***** warning x = sym (1/2); ***** test % passing small rationals w/o quotes: despite the warning, % it should work s = warning ('off', 'OctSymPy:sym:rationalapprox'); x = sym (1/2); warning (s) assert (double (x) == 1/2 ) assert (isequal (2*x, sym (1))) ***** test assert (isa (sym (pi), 'sym')) assert (isa (sym ('beta'), 'sym')) ***** test % sym from array D = [0 1; 2 3]; A = [sym(0) 1; sym(2) 3]; assert (isa (sym (D), 'sym')) assert (isequal (size (sym (D)), size (D))) assert (isequal (sym (D), A)) ***** test % more sym from array syms x A = [x x]; assert (isequal (sym (A), A)) A = [1 x]; assert (isequal (sym (A), A)) ***** test %% assumptions and clearing them clear variables % for matlab test script x = sym('x', 'real'); f = {x {2*x}}; asm = assumptions(); assert ( ~isempty(asm)) s = warning ('off', 'OctSymPy:deprecated'); x = sym('x', 'clear'); warning (s) asm = assumptions(); assert ( isempty(asm)) ***** test %% matlab compat, syms x clear should add x to workspace x = sym('x', 'real'); f = 2*x; clear x assert (~logical(exist('x', 'var'))) s = warning ('off', 'OctSymPy:deprecated'); x = sym('x', 'clear'); warning (s) assert (logical(exist('x', 'var'))) ***** test %% assumptions should work if x is already a sym x = sym('x'); x = sym(x, 'real'); assert (~isempty(assumptions(x))) ***** test %% likewise for clear x = sym('x', 'real'); f = 2*x; s = warning ('off', 'OctSymPy:deprecated'); x = sym(x, 'clear'); warning (s) assert (isempty(assumptions(x))) assert (isempty(assumptions(f))) ***** test % bool t = sym (false); t = sym (true); assert (logical (t)) ***** test % bool vec/mat a = sym (1); t = sym ([true false]); assert (isequal (t, [a == 1 a == 0])) t = sym ([true false; false true]); assert (isequal (t, [a == 1 a == 0; a == 0 a == 1])) ***** test % symbolic matrix A = sym ('A', [2 3]); assert (isa (A, 'sym')) assert (isequal (size (A), [2 3])) A(1, 1) = 7; assert (isa (A, 'sym')) A = A + 1; assert (isa (A, 'sym')) ***** test % symbolic matrix, symbolic but Integer size A = sym ('A', sym([2 3])); assert (isa (A, 'sym')) assert (isequal (size (A), [2 3])) ***** test % symbolic matrix, subs in for size syms n m integer A = sym ('A', [n m]); B = subs (A, [n m], [5 6]); assert (isa (B, 'sym')) assert (isequal (size (B), [5 6])) ***** error sym('2*a', [2 3]) ***** error sym(2*sym('a'), [2 3]) ***** error sym('1', [2 3]) ***** error sym(1, [2 3]) ***** error % TODO: symbolic tensor, maybe supported someday sym('a', [2 3 4]) ***** test % 50 shapes of empty a = sym (ones (0, 3)); assert (isa (a, 'sym')) assert (isequal (size (a), [0 3])) a = sym (ones (2, 0)); assert (isequal (size (a), [2 0])) a = sym ([]); assert (isequal (size (a), [0 0])) ***** test % moar empty a = sym ('a', [0 3]); assert (isa (a, 'sym')) assert (isequal (size (a), [0 3])) a = sym ('a', [2 0]); assert (isa (a, 'sym')) assert (isequal (size (a), [2 0])) ***** test % embedded sympy commands, various quotes, issue #143 a = sym ('a'); a1 = sym ('Symbol("a")'); a2 = sym ('Symbol(''a'')'); assert (isequal (a, a1)) assert (isequal (a, a2)) % Octave only, and eval to hide from Matlab parser if exist ('OCTAVE_VERSION', 'builtin') eval( 'a3 = sym("Symbol(''a'')");' ); eval( 'a4 = sym("Symbol(\"a\")");' ); assert (isequal (a, a3)) assert (isequal (a, a4)) end ***** test % complex x = sym(1 + 2i); assert (isequal (x, sym(1)+sym(2)*1i)) ***** test % doubles bigger than int32 INTMAX should not fail d = 4294967295; a = sym (d); assert (isequal (double (a), d)) d = d + 123456; a = sym (d); assert (isequal (double (a), d)) ***** test % int32 integer types a = sym (100); b = sym (int32 (100)); assert (isequal (a, b)) ***** test % int32 MAXINT integers a = sym ('2147483647'); b = sym (int32 (2147483647)); assert (isequal (a, b)) a = sym ('-2147483647'); b = sym (int32 (-2147483647)); assert (isequal (a, b)) a = sym ('4294967295'); b = sym (uint32 (4294967295)); assert (isequal (a, b)) ***** test % int64 integer types a = sym ('123456789012345'); b = sym (int64(123456789012345)); c = sym (uint64(123456789012345)); assert (isequal (a, b)) assert (isequal (a, c)) ***** test % integer arrays a = int64 ([1 2 100]); s = sym (a); assert (isequal (double (a), [1 2 100])) ***** test % bigger int64 integer types q = int64 (123456789012345); w = 10000*q + 123; a = sym ('1234567890123450123'); b = sym (w); assert (isequal (a, b)) ***** test % sym(double) heuristic s = warning ('off', 'OctSymPy:sym:rationalapprox'); x = sym(2*pi/3); assert (isequal (x/sym(pi), sym(2)/3)) x = sym(22*pi); assert (isequal (x/sym(pi), sym(22))) x = sym(pi/123); assert (isequal (x/sym(pi), sym(1)/123)) warning (s) ***** test % sym(double) with 'r': no warning a = 0.1; x = sym(a, 'r'); assert (isequal (x, sym(1)/10)) ***** test % sym(double, 'f') a = 0.1; x = sym(a, 'f'); assert (~isequal (x, sym(1)/10)) assert (isequal (x, sym('3602879701896397')/sym('36028797018963968'))) ***** test x = sym(pi, 'f'); assert (~isequal (x, sym('pi'))) assert (isequal (x, sym('884279719003555')/sym('281474976710656'))) ***** test q = sym('3602879701896397')/sym('36028797018963968'); x = sym(1 + 0.1i, 'f'); assert (isequal (x, 1 + 1i*q)) x = sym(0.1 + 0.1i, 'f'); assert (isequal (x, q + 1i*q)) ***** test assert (isequal (sym(inf, 'f'), sym(inf))) assert (isequal (sym(-inf, 'f'), sym(-inf))) assert (isequaln (sym(nan, 'f'), sym(nan))) assert (isequal (sym(complex(inf, -inf), 'f'), sym(complex(inf, -inf)))) assert (isequaln (sym(complex(nan, inf), 'f'), sym(complex(nan, inf)))) assert (isequaln (sym(complex(-inf, nan), 'f'), sym(complex(-inf, nan)))) ***** test assert (isequal (sym (sqrt(2), 'r'), sqrt (sym (2)))) assert (isequal (sym (sqrt(12345), 'r'), sqrt (sym (12345)))) ***** test % symbols with special sympy names syms Ei Eq assert (~isempty (regexp (sympy (Eq), '^Symbol'))) assert (~isempty (regexp (sympy (Ei), '^Symbol'))) ***** test % more symbols with special sympy names x = sym('FF'); assert (~isempty (regexp (x.pickle, '^Symbol'))) x = sym('ff'); assert (~isempty (regexp (x.pickle, '^Symbol'))) ***** test % E can be a sym not just exp(sym(1)) syms E assert (~logical (E == exp(sym(1)))) ***** test % e can be a symbol, not exp(sym(1)) syms e assert (~ logical (e == exp(sym(1)))) ***** test % double e x = sym (exp (1)); y = exp (sym (1)); assert (isequal (x, y)) if (exist ('OCTAVE_VERSION', 'builtin')) x = sym (e); assert (isequal (x, y)) end ***** test x = sym (-exp (1)); y = -exp (sym (1)); assert (isequal (x, y)) ***** assert (~ isequal (sym (exp(1)), sym (exp(1), 'f'))) ***** warning sym (1e16); ***** warning sym (-1e16); ***** warning sym (10.33); ***** warning sym (-5.23); ***** warning sym (sqrt (1.4142135623731)); ***** error x = sym ('x', 'positive2'); ***** error x = sym ('x', 'integer', 'positive2'); ***** error x = sym ('x', 'integer2', 'positive'); ***** error x = sym ('-pi', 'positive') ***** error x = sym ('pi', 'integer') ***** test % multiple assumptions n = sym ('n', 'negative', 'even'); a = assumptions (n); assert (strcmp (a, 'n: negative, even') || strcmp (a, 'n: even, negative')) ***** error % multiple assumptions as a list % TODO: should this be allowed? n = sym ('n', {'negative', 'even'}); a = assumptions (n); assert (strcmp (a, 'n: negative, even') || strcmp (a, 'n: even, negative')) ***** error n = sym ('n', {{'negative', 'even'}}); ***** test % save/load sym objects syms x y = 2*x; a = 42; myfile = tempname (); save (myfile, 'x', 'y', 'a') clear x y a load (myfile) assert (isequal (y, 2*x)) assert (a == 42) if (exist ('OCTAVE_VERSION', 'builtin')) assert (unlink (myfile) == 0) else delete ([myfile '.mat']) end ***** test a = sym ('2.1'); b = sym (21) / 10; %% https://github.com/sympy/sympy/issues/11703 assert (python_cmd ('return _ins[0] == _ins[1] and hash(_ins[0]) == hash(_ins[1])', a, b)) ***** test % issue #706 a = sym('Float("1.23")'); assert (~ isempty (strfind (char (a), '.'))) ***** assert (isequal (sym({1 2 'a'}), [sym(1) sym(2) sym('a')])); ***** error sym({1 2 'a'}, 'positive'); ***** error sym({'a' 'b'}, 'positive'); ***** test a = sym ('--1'); b = sym ('---1'); assert (isequal (a, sym (1))) assert (isequal (b, sym (-1))) ***** test % num2cell works on sym arrays syms x C1 = num2cell ([x 2 3; 4 5 6*x]); assert (iscell (C1)) assert (isequal (size (C1), [2 3])) assert (isequal (C1{1,1}, x)) assert (isequal (C1{2,3}, 6*x)) assert (isequal (C1{1,3}, sym(3))) assert (isa (C1{1,3}, 'sym')) ***** test % function_handle f = @(x, y) y*sin(x); syms x y assert (isequal (sym (f), y*sin(x))); f = @(x) 42; assert (isequal (sym (f), sym (42))); f = @() 42; assert (isequal (sym (f), sym (42))); ***** error % function_handle f = @(x) A*sin(x); sym (f) ***** test % Issue #885 clear f x % if test not isolated (e.g., on matlab) syms x f(x) = sym('S(x)'); f(x) = sym('I(x)'); f(x) = sym('O(x)'); ***** test % sym(sympy(x) == x identity, Issue #890 syms x f = exp (1i*x); s = sympy (f); g = sym (s); assert (isequal (f, g)) ***** test % sym(sympy(x) == x identity % Don't mistake "pi" (which is "srepr(S.Pi)") for a symfun variable f = sym ('ff(pi, pi)'); s1 = sympy (f); s2 = 'FallingFactorial(pi, pi)'; assert (strcmp (s1, s2)) ***** test % sym(sympy(x) == x identity % Don't mistake "I" (which is "srepr(S.ImaginaryUnit)") for a symfun variable f = sym ('sin(I)'); g = 1i*sinh (sym (1)); assert (isequal (f, g)) s = sympy (f); assert (isempty (strfind (s, 'Function'))) ***** error % sym(sympy(x) == x identity % Don't mistake "true/false" (which is "srepr(S.true)") for a symfun variable % (Used to print as `S.true` but just `true` in sympy 1.2) sym ('E(true,false)') ***** test % some variable names that are special to sympy but should not be for us f = sym ('f(S, Q, C, O, N)'); s1 = sympy (f); s2 = 'Function(''f'')(Symbol(''S''), Symbol(''Q''), Symbol(''C''), Symbol(''O''), Symbol(''N''))'; assert (strcmp (s1, s2)) ***** test % For SMT 2014 compatibilty, I and E would become ImaginaryUnit and Exp(1) % but I'm not sure this is by design. This test would need to change if % we want stricter SMT compatibilty. f = sym ('f(x, I, E)'); s1 = sympy (f); s2 = 'Function(''f'')(Symbol(''x''), Symbol(''I''), Symbol(''E''))'; assert (strcmp (s1, s2)) ***** test % not the identity, force symfun f = sym ('FF(w)'); s1 = sympy (f); s2 = 'Function(''FF'')(Symbol(''w''))'; assert (strcmp (s1, s2)) ***** test % not the identity, force symfun f = sym ('FF(w, pi)'); s1 = sympy (f); s2 = 'Function(''FF'')(Symbol(''w''), pi)'; assert (strcmp (s1, s2)) 80 tests, 80 passed, 0 known failure, 0 skipped [inst/@sym/svd.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/svd.m ***** test % basic A = [1 2; 3 4]; B = sym(A); sd = svd(A); s = svd(B); s2 = double(s); assert (norm(s2 - sd) <= 10*eps) ***** test % scalars syms x syms y positive a = sym(-10); assert (isequal (svd(a), sym(10))) assert (isequal (svd(x), sqrt(x*conj(x)))) assert (isequal (svd(y), y)) ***** test % matrix with symbols syms x positive A = [x+1 0; sym(0) 2*x+1]; s = svd(A); s2 = subs(s, x, 2); assert (isequal (s2, [sym(5); 3])) ***** test % matrix with symbols syms x positive A = [x+1 0; sym(0) 2*x+1]; s = svd(A); s2 = subs(s, x, 2); assert (isequal (s2, [sym(5); 3])) ***** test % matrix with symbols, nonneg sing values syms x real A = [x 0; 0 sym(-5)]; s = svd(A); assert (isequal (s, [abs(x); 5])) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/sum.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sum.m ***** error sum (sym(1), 2, 3) ***** error sum (sym(1), 42) ***** shared x,y,z syms x y z ***** assert (isequal (sum (x), x)) ***** assert (isequal (sum ([x y z]), x+y+z)) ***** assert (isequal (sum ([x; y; z]), x+y+z)) ***** assert (isequal (sum ([x y z], 1), [x y z])) ***** assert (isequal (sum ([x y z], 2), x+y+z)) ***** shared a,b b = [1 2; 3 4]; a = sym(b); ***** assert (isequal (sum(a), sum(b))) ***** assert (isequal (sum(a,1), sum(b,1))) ***** assert (isequal (sum(a,2), sum(b,2))) ***** test % weird inputs a = sum('xx', sym(1)); assert (isequal (a, sym('xx'))) 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/subsref.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/subsref.m ***** shared a,b b = [1:4]; a = sym(b); ***** assert(isequal( a(1), b(1) )) ***** assert(isequal( a(2), b(2) )) ***** assert(isequal( a(4), b(4) )) ***** assert(isempty( a([]) )) ***** shared a,b b = [1:4]; b = [b; 3*b; 5*b]; a = sym(b); ***** assert(isequal( a(1), b(1) )) ***** assert(isequal( a(2), b(2) )) ***** assert(isequal( a(4), b(4) )) ***** assert(isequal( a(:,:), a )) ***** assert(isequal( a(1:2,1:3), a(1:2,1:3) )) ***** assert(isequal( a(1:2:3,[1 2 4]), b(1:2:3,[1 2 4]) )) ***** assert(isequal( a(1:2:3,[4 2 3 1]), b(1:2:3,[4 2 3 1]) )) ***** assert(isequal( a(1:2:3,[4 1 1 1]), b(1:2:3,[4 1 1 1]) )) ***** assert(isequal( a([],:), b([],:) )) ***** assert(isequal( size(a([],:)), [0 4] )) ***** assert(isequal( a(1:2,[]), b(1:2,[]) )) ***** assert(isequal( size(a(1:2,[])), [2 0] )) ***** assert(isempty( a(1:2,[]) )) ***** assert(isempty( a([],[]) )) ***** assert(isequal( a([],[]), sym([]) )) ***** assert(~isequal( a(1:2,[]), sym([]) )) ***** shared e e = sym([1 3 5; 2 4 6]); ***** assert(isequal( e(:), sym((1:6)') )) ***** assert(isequal( e([1 2 3]), sym([1 2 3]) )) ***** assert(isequal( e([1; 3; 4]), sym([1; 3; 4]) )) ***** assert(isempty( e([]) )) ***** assert(isempty( e('') )) ***** assert(isequal( e([]), sym([]) )) ***** shared a,b b = 1:5; a = sym(b); ***** assert(isequal( a([1 2 5]), b([1 2 5]) )) ***** assert(isequal( a([1; 2; 5]), b([1; 2; 5]) )) ***** shared x syms x ***** test % logical with empty result assert(isempty( x(false) )) a = [x x]; assert(isempty( a([false false]) )) ***** test % issue 18, scalar access assert(isequal( x(1), x )) assert(isequal( x(true), x )) ***** shared ***** test % older access tests syms x f = [x 2; 3 4*x]; % element access assert (logical( f(1,1) == x )) assert (logical( f(1,2) == 2 )) % linear access of 2d array assert (logical( f(1) == x )) assert (logical( f(2) == 3 )) % column based assert (logical( f(3) == 2 )) ***** shared a,b % effectively a random matrix a = reshape( round(50*(sin(1:20)+1)), 5,4); b = sym(a); ***** test % older array refs test assert (logical(b(1,1) == a(1,1))) assert (logical(b(3,1) == a(3,1))) assert (logical(b(1,3) == a(1,3))) assert (logical(b(4,4) == a(4,4))) ***** test % older array refs test: linear indices assert (logical(b(1) == a(1))) assert (logical(b(3) == a(3))) assert (logical(b(13) == a(13))) ***** test % older array refs test: end assert (all(all(logical( b(end,1) == a(end,1) )))) assert (all(all(logical( b(2,end) == a(2,end) )))) assert (all(all(logical( b(end,end) == a(end,end) )))) assert (all(all(logical( b(end-1,1) == a(end-1,1) )))) assert (all(all(logical( b(2,end-1) == a(2,end-1) )))) assert (all(all(logical( b(end-1,end-1) == a(end-1,end-1) )))) ***** shared ***** test % older slicing tests syms x a = [1 2 3 4 5 6]; a = [a; 3*a; 5*a; 2*a; 4*a]; b = sym(a); assert (isequal( b(:,1), a(:,1) )) assert (isequal( b(:,2), a(:,2) )) assert (isequal( b(1,:), a(1,:) )) assert (isequal( b(2,:), a(2,:) )) assert (isequal( b(:,:), a(:,:) )) assert (isequal( b(1:3,2), a(1:3,2) )) assert (isequal( b(1:4,:), a(1:4,:) )) assert (isequal( b(1:2:5,:), a(1:2:5,:) )) assert (isequal( b(1:2:4,:), a(1:2:4,:) )) assert (isequal( b(2:2:4,3), a(2:2:4,3) )) assert (isequal( b(2:2:4,3), a(2:2:4,3) )) ***** test % 2D arrays b = [1:4]; b = [b; 3*b; 5*b]; a = sym(b); I = rand(size(b)) > 0.5; assert (isequal (a(I), b(I))) I = I(:); assert (isequal (a(I), b(I))) I = I'; assert (isequal (a(I), b(I))) I = logical(zeros(size(b))); assert (isequal (a(I), b(I))) ***** test % 1D arrays, does right with despite warning r = [1:6]; ar = sym(r); c = r'; ac = sym(c); Ir = rand(size(r)) > 0.5; Ic = rand(size(c)) > 0.5; assert (isequal (ar(Ir), r(Ir))) assert (isequal (ac(Ic), c(Ic))) assert (isequal (ar(Ic), r(Ic))) assert (isequal (ac(Ir), c(Ir))) ***** test % rccross tests B = [1 2 3 4; 5 6 7 9; 10 11 12 13]; A = sym(B); assert (isequal (A([1 3],[2 3]), B([1 3], [2 3]) )) assert (isequal (A(1,[2 3]), B(1,[2 3]) )) assert (isequal (A([1 2],4), B([1 2],4) )) assert (isequal (A([2 1],[4 2]), B([2 1],[4 2]) )) assert (isequal (A([],[]), B([],[]) )) ***** error % issue #445 A = sym([10 11]); A(1.1) ***** error % issue #445 A = sym([10 11]); A(sym(4)/3) ***** error % issue #445 A = sym([1 2; 3 4]); A(1.1, 1) ***** error % issue #445 A = sym([1 2; 3 4]); A(1, sym(4)/3) ***** shared a, b a = [1 2 3 5; 4 5 6 9; 7 5 3 2]; b = sym (a); ***** test c = true; assert (isequal (a(c), b(c))) c = false; assert (isequal (a(c), b(c))) ***** test c = [false true]; assert (isequal (a(c), b(c))) d = c | true; assert (isequal (a(d), b(d))) d = c & false; assert (isequal (a(d), b(d))) ***** test c = [false true false true; true false true false; false true false true]; assert (isequal (a(c), b(c))) d = c | true; assert (isequal (a(d), b(d))) d = c & false; assert (isequal (a(d), b(d))) ***** test c = [false true false true false]; assert (isequal (a(c), b(c))) d = c | true; assert (isequal (a(d), b(d))) d = c & false; assert (isequal (a(d), b(d))) ***** test c = [false; true; false; true; false]; assert (isequal (a(c), b(c))) d = c | true; assert (isequal (a(d), b(d))) d = c & false; assert (isequal (a(d), b(d))) ***** test c = [false true; false true; true false]; assert (isequal (a(c), b(c))) d = c | true; assert (isequal (a(d), b(d))) d = c & false; assert (isequal (a(d), b(d))) ***** shared ***** test % Orientation of empty results of logical indexing on row or column vectors r = [1:6]; c = r'; ar = sym(r); ac = sym(c); assert (isequal (ar(false), r(false))) assert (isequal (ac(false), c(false))) assert (isequal (ar(false (1, 6)), r(false (1, 6)))) assert (isequal (ac(false (1, 6)), c(false (1, 6)))) assert (isequal (ar(false (6, 1)), r(false (6, 1)))) assert (isequal (ac(false (6, 1)), c(false (6, 1)))) 49 tests, 49 passed, 0 known failure, 0 skipped [inst/@sym/subsindex.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/subsindex.m ***** test i = sym(1); a = 7; assert(a(i)==a); i = sym(2); a = 2:2:10; assert(a(i)==4); ***** test i = sym([1 3 5]); a = 1:10; assert( isequal (a(i), [1 3 5])) ***** test i = sym([1 3 5]); a = sym(1:10); assert( isequal (a(i), sym([1 3 5]))); ***** test % should be an error if it doesn't convert to double syms x a = 1:10; try a(x) waserr = false; catch waserr = true; end assert(waserr) ***** test syms x assert (isequal (x(sym (true)), x)) assert (isequal (x(sym (false)), sym ([]))) ***** test x = 6; assert (isequal (x(sym (true)), 6)) assert (isequal (x(sym (false)), [])) ***** test a = sym([10 12 14]); assert (isequal (a(sym ([true false true])), a([1 3]))) assert (isequal (a(sym ([false false false])), sym (ones(1,0)))) ***** test a = [10 11; 12 13]; p = [true false; true true]; assert (isequal (a(sym (p)), a(p))) p = [false false false]; assert (isequal (a(sym (p)), a(p))) ***** error a = [10 12]; I = [sym(true) 2]; b = a(I); 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/subsasgn.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/subsasgn.m ***** shared a,b b = [1:4]; a = sym(b); ***** test a(1) = 10; b(1) = 10; assert(isequal( a, b )) ***** test I = logical([1 0 1 0]); a(I) = 2; b(I) = 2; assert(isequal( a, b )) ***** test I = logical([1 0 1 0]); a(I) = [2 4]; b(I) = [2 4]; assert(isequal( a, b )) ***** test I = logical([1 0 1 0]); a(I) = [2; 4]; b(I) = [2; 4]; assert(isequal( a, b )) ***** shared ***** test b = 1:4; b = [b; 2*b; 3*b]; a = sym(b); rhs = [10 11; 12 13]; a([1:2],[1:2]) = rhs; b([1:2],[1:2]) = rhs; assert(isequal( a, b )) a(1:2,1:2) = rhs; assert(isequal( a, b )) ***** test % slice : b = 1:4; b = [b; 2*b]; a = sym(b); rhs = [10 11; 12 13]; a(:,2:3) = rhs; b(:,2:3) = rhs; assert(isequal( a, b )) ***** test % grow 2D b = 1:4; b = [b; 2*b]; a = sym(b); rhs = [10 11; 12 13]; a([1 end+1],end:end+1) = rhs; b([1 end+1],end:end+1) = rhs; assert(isequal( a, b )) ***** test % grow from nothing clear a a(3) = sym (1); b = sym ([0 0 1]); assert (isequal (a, b)) ***** test % grow from nothing, 2D clear a a(2, 3) = sym (1); b = sym ([0 0 0; 0 0 1;]); assert (isequal (a, b)) ***** test % linear indices of 2D b = 1:4; b = [b; 2*b; 3*b]; a = sym(b); b(1:4) = [10 11 12 13]; a(1:4) = [10 11 12 13]; assert(isequal( a, b )) b(1:4) = [10 11; 12 13]; a(1:4) = [10 11; 12 13]; assert(isequal( a, b )) ***** test % 1D growth and 'end' g = sym([1 2 3]); g(3:4) = [67 68]; g(end:end+1) = [12 14]; assert(isequal( g, [1 2 67 12 14] )) ***** test % expanding empty and scalar syms x c = sym([]); c(1) = x; assert(isequal( c, x )) c(2) = 2*x; assert(isequal( c, [x 2*x] )) ***** shared a,b,I,J b = 1:4; b = [b; 3*b; 5*b]; a = sym(b); I = logical([1 0 1]); J = logical([1 0 1 0]); ***** assert(isequal( a(I,J), b(I,J) )) ***** test rhs = [90 91; 92 93]; b(I, J) = rhs; a(I, J) = rhs; assert(isequal( a, b )) ***** test b(I, J) = 100; a(I, J) = 100; assert(isequal( a, b )) ***** shared ***** test % logical with all false syms x y = x; y(false) = 6; assert(isequal( y, x )); a = [x x]; a([false false]) = [6 6]; assert(isequal( a, [x x] )); ***** test % issue #18, scalar access syms x x(1) = sym(6); assert(isequal( x, sym(6) )); x(1) = 6; assert(isequal( x, sym(6) )); x(true) = 88; assert(isequal( x, sym(88) )); ***** test % bug: assignment to column vector used to fail A = sym(zeros(3,1)); A(1) = 5; ***** test % symfun creation (generic function) syms x g(x) = x*x; assert(isa(g,'symfun')) ***** test % symfun creation (generic function) syms x g(x) assert(isa(g,'symfun')) ***** test % symfun creation when g already exists and is a sym/symfun syms x g = x; syms g(x) assert(isa(g,'symfun')) clear g g(x) = x; g(x) = x*x; assert(isa(g,'symfun')) ***** test % Issue #443: assignment with sym indices A = sym([10 11]); A(sym(1)) = 12; assert (isequal (A, sym([12 11]))) ***** test % Issue #443: assignment with sym indices A = sym([10 11]); A(sym(1), 1) = 12; assert (isequal (A, sym([12 11]))) A(sym(1), sym(1)) = 13; assert (isequal (A, sym([13 11]))) ***** test % Issue #443: assignment with sym indices, increase size A = sym([10 11]); A(sym(2), 1) = 12; assert (isequal (A, sym([10 11; 12 0]))) ***** error % Issue #443 A = sym([10 11]); A(2, sym('x')) = sym(12); ***** error % Issue #443 A = sym([10 11]); A(sym(2), sym('x')) = sym(12); ***** error % issue #445 A = sym([10 11]); A(1.1) = 13 ***** error % issue #445 A = sym([10 11]); A(sym(pi)) = 13 ***** error % issue #445 A = sym([1 2; 3 4]); A(1.3, 1.2) = 13 ***** test % older expansion tests syms x f = [2*x 3*x]; f(2) = 4*x; assert (isequal (f, [2*x 4*x])) f(2) = 2; assert (isequal(f, [2*x 2])) g = f; g(1,3) = x*x; assert (isequal(g, [2*x 2 x^2])) g = f; g(3) = x*x; assert (isequal(g, [2*x 2 x^2])) g = f; g(3) = 4; assert (isequal(g, [2*x 2 4])) ***** test % older slicing tests syms x f = [1 x^2 x^4]; f(1:2) = [x x]; assert (isequal( f, [x x x^4] )) f(1:2) = [1 2]; assert (isequal( f, [1 2 x^4] )) f(end-1:end) = [3 4]; assert (isequal( f, [1 3 4] )) f(3:4) = [10 11]; assert (isequal( f, [1 3 10 11] )) f(end:end+1) = [12 14]; assert (isequal( f, [1 3 10 12 14] )) ***** test % struct.str = sym, sometimes calls subsasgn d = struct(); syms x d.a = x; assert (isa (d, 'struct')) assert (isequal (d.a, x)) d.('a') = x; assert (isa (d, 'struct')) assert (isequal (d.a, x)) d = setfield(d, 'a', x); assert (isa (d, 'struct')) assert (isequal (d.a, x)) % at least on Oct 3.8, this calls sym's subsasgn d = struct(); d = setfield(d, 'a', x); assert (isa (d, 'struct')) assert (isequal (d.a, x)) ***** test % bool scalar assignments of true/false into sym syms x a = sym([1 2 x 3]); b = [1 2 10 4]; e = a == b; assert (logical (e(2))) e(2) = false; assert (~logical (e(2))) ***** test % bool vector assignments of true/false into sym syms x a = sym([1 2 x 3]); b = [1 2 10 4]; e = a == b; e(1:2) = [true true]; assert (isequal (e, [sym(1)==1 sym(2)==2 x==10 sym(3)==4])) ***** test % bool scalar promoted to vector assignments into sym syms x a = sym([1 2 x 3]); b = [1 2 10 4]; e = a == b; e(1:2) = true; assert (isequal (e, [sym(1)==1 sym(2)==2 x==10 sym(3)==4])) ***** shared a, b, I b = [1:4]; b = [b; 3*b; 5*b]; a = sym(b); I = mod (b, 5) > 1; ***** test A = a; A(I) = 2*b(I); B = b; B(I) = 2*b(I); assert (isequal (A, B)) ***** test % scalar RHS A = a; A(I) = 17; B = b; B(I) = 17; assert (isequal (A, B)) ***** test % nonetheless, above strange case should give right answer I = logical([1 0 1 0; 0 1 0 1; 1 0 1 0]); rhs = 2*b(I); rhs2 = reshape(rhs, 2, 3); A0 = a; A1 = a; A0(I) = rhs; A1(I) = rhs2; assert (isequal (A0, A1)) ***** shared AA, BB BB = [1 2 3; 4 5 6]; AA = sym(BB); ***** test A = AA; B = BB; B([1 6]) = [8 9]; A([1 6]) = [8 9]; assert (isequal (A, B)) ***** test % rhs scalar A = AA; B = BB; B([1 6]) = 88; A([1 6]) = 88; assert (isequal (A, B)) ***** test % If rhs is not a vector, make sure col-based access works rhs = [18 20; 19 21]; A = AA; B = BB; B([1 6]) = 88; A([1 6]) = 88; B([1 2 3 4]) = rhs; A([1 2 3 4]) = rhs; assert (isequal (A, B)) ***** test % Growth A = AA; B = BB; A(1,5) = 10; B(1,5) = 10; assert (isequal (A, B)) ***** test % Check row deletion 1D a = sym([1; 3; 5]); b = sym([3; 5]); a(1) = []; assert( isequal( a, b)) ***** test % Check column deletion 1D a = sym([1, 4, 8]); b = sym([4, 8]); a(1) = []; assert( isequal( a, b)) ***** test % Check row deletion 2D a = sym([1, 2; 3, 4]); b = sym([3, 4]); a(1, :) = []; assert( isequal( a, b)) ***** test % Check column deletion 2D a = sym([1, 2; 3, 4]); b = sym([2; 4]); a(:, 1) = []; assert( isequal( a, b)) ***** test % General assign a = sym([1, 2; 3, 4]); b = sym([5, 5; 5, 5]); a(:) = 5; assert( isequal( a, b)) ***** test % Empty matrix a = sym([1, 2; 3, 4]); a(:) = []; assert( isequal( a, sym([]))) ***** test % Disassemble matrix a = sym([1 2; 3 4; 5 6]); b = sym([3 5 2 4 6]); a(1) = []; assert (isequal (a, b)); ***** error a = sym([1, 2; 3, 4]); a(1, 2) = []; ***** test % 2D indexing with length in one dimension more than 2 a = sym ([1 2; 3 4; 5 6]); indices = [1 4; 2 5; 3 6]; b = [10 11; 12 13; 14 15]; a(indices) = b; assert (isequal (a, sym (b))); ***** test A = sym ([0 0 0]); indices = [false true false]; A(indices) = 1; assert (isequal (A, sym ([0 1 0]))); A(indices) = []; assert (isequal (A, sym ([0 0]))); indices = [false false]; A(indices) = []; assert (isequal (A, sym ([0 0]))); ***** shared a, b a = [1 2 3 5; 4 5 6 9; 7 5 3 2]; b = sym (a); ***** test A = a; B = b; A(true) = 0; B(true) = 0; assert (isequal (A, B)) ***** test A = a; B = b; A(false) = 0; B(false) = 0; assert (isequal (A, B)) ***** test c = [false true]; A = a; B = b; A(c) = 0; B(c) = 0; assert (isequal (A, B)) d = c | true; A(d) = 1; B(d) = 1; assert (isequal (A, B)) d = c & false; A(d) = 2; B(d) = 2; assert (isequal (A, B)) ***** test c = [false true false true; true false true false; false true false true]; A = a; B = b; A(c) = 0; B(c) = 0; assert (isequal (A, B)) d = c | true; A(d) = 1; B(d) = 1; assert (isequal (A, B)) d = c & false; A(d) = 2; B(d) = 2; assert (isequal (A, B)) ***** test c = [false true false true false]; A = a; B = b; A(c) = 0; B(c) = 0; assert (isequal (A, B)) d = c | true; A(d) = 1; B(d) = 1; assert (isequal (A, B)) d = c & false; A(d) = 2; B(d) = 2; assert (isequal (A, B)) ***** test c = [false; true; false; true; false]; A = a; B = b; A(c) = 0; B(c) = 0; assert (isequal (A, B)) d = c | true; A(d) = 1; B(d) = 1; assert (isequal (A, B)) d = c & false; A(d) = 2; B(d) = 2; assert (isequal (A, B)) ***** test c = [false true; false true; true false]; A = a; B = b; A(c) = 0; B(c) = 0; assert (isequal (A, B)) d = c | true; A(d) = 1; B(d) = 1; assert (isequal (A, B)) d = c & false; A(d) = 2; B(d) = 2; assert (isequal (A, B)) 59 tests, 59 passed, 0 known failure, 0 skipped [inst/@sym/subs.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/subs.m ***** error subs (sym(1), 2, 3, 4) ***** shared x,y,t,f syms x y t f = x*y; ***** test assert( isequal( subs(f, x, y), y^2 )) assert( isequal( subs(f, y, sin(x)), x*sin(x) )) assert( isequal( subs(f, x, 16), 16*y )) ***** test % multiple subs w/ cells assert( isequal( subs(f, {x}, {t}), y*t )) assert( isequal( subs(f, {x y}, {t t}), t*t )) assert( isequal( subs(f, {x y}, {t 16}), 16*t )) assert( isequal( subs(f, {x y}, {16 t}), 16*t )) assert( isequal( subs(f, {x y}, {2 16}), 32 )) ***** test % multiple subs w/ vectors assert( isequal( subs(f, [x y], [t t]), t*t )) assert( isequal( subs(f, [x y], [t 16]), 16*t )) assert( isequal( subs(f, [x y], [2 16]), 32 )) ***** test % anything you can think of assert( isequal( subs(f, [x y], {t t}), t*t )) assert( isequal( subs(f, {x y}, [t t]), t*t )) assert( isequal( subs(f, {x; y}, [t; t]), t*t )) ***** test % sub in doubles gives sym (matches SMT 2013b) % FIXME: but see % http://www.mathworks.co.uk/help/symbolic/gradient.html assert( isequal( subs(f, {x y}, {2 pi}), 2*sym(pi) )) assert( ~isa(subs(f, {x y}, {2 pi}), 'double')) assert( isa(subs(f, {x y}, {2 pi}), 'sym')) assert( isa(subs(f, {x y}, {2 sym(pi)}), 'sym')) assert( isa(subs(f, {x y}, {sym(2) sym(pi)}), 'sym')) ***** shared x,y,t,f,F syms x y t f = sin(x)*y; F = [f; 2*f]; ***** test % need the simultaneous=True flag in SymPy (matches SMT 2013b) assert( isequal( subs(f, [x t], [t 6]), y*sin(t) )) assert( isequal( subs(F, [x t], [t 6]), [y*sin(t); 2*y*sin(t)] )) ***** test % swap x and y (also needs simultaneous=True assert( isequal( subs(f, [x y], [y x]), x*sin(y) )) ***** test % but of course both x and y to t still works assert( isequal( subs(f, [x y], [t t]), t*sin(t) )) ***** shared ***** test % Issue #10, subbing matrices in for scalars syms y a = sym([1 2; 3 4]); f = sin(y); g = subs(f, y, a); assert (isequal (g, sin(a))) ***** test % Issue #10, subbing matrices in for scalars syms y a = sym([1 2]); g = subs(sin(y), {y}, {a}); assert (isequal (g, sin(a))) ***** test % Issue #10, subbing matrices in for scalars syms y a = sym([1; 2]); g = subs(sin(y), {y}, a); assert (isequal (g, sin(a))) ***** test % Issue #10, subbing matrices in for scalars syms y a = [10 20 30]; f = 2*y; g = subs(f, y, a); assert (isequal (g, 2*a)) assert (isa (g, 'sym')) ***** test % Issue #10, sub matrices in for two scalars syms x y a = [10 20 30]; f = x^2*y; g = subs(f, {x y}, {a a+1}); h = a.^2.*(a+1); assert (isequal (g, h)) ***** test % Issue #10, sub matrices in for two scalars syms x y z a = [10 20 30]; f = x^2*y; g = subs(f, {x y}, {a z}); h = a.^2*z; assert (isequal (g, h)) g = subs(f, {x y}, {a 6}); h = a.^2*6; assert (isequal (g, h)) ***** error syms x y a = [10 20 30]; f = x^2*y; g = subs(f, {x y}, {[10 20 30] [10 20]}); ***** test % two inputs syms x y assert (isequal (subs (2*x, 6), sym(12))) assert (isequal (subs (2*x*y^2, 6), 12*y^2)) assert (isequal (subs (2*y, 6), sym(12))) assert (isequal (subs (sym(2), 6), sym(2))) ***** test % only two inputs, vector syms x assert (isequal (subs (2*x, [3 5]), sym([6 10]))) assert (isequal (subs (sym(2), [3 5]), sym([2 2]))) 18 tests, 18 passed, 0 known failure, 0 skipped [inst/@sym/ssinint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ssinint.m ***** assert (isequal (ssinint(sym(0)), -sym(pi)/2)) ***** test A = ssinint (sym ([0 1])); B = [-pi/2 -0.62471325642771360426]; assert( all(all( abs(double(A)-B) < 1e-15 ))) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/sqrt.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sqrt.m ***** error sqrt (sym(1), 2) ***** assert (isequaln (sqrt (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sqrt(x); f2 = sqrt(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sqrt(A); f2 = sqrt(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = sqrt (d); f = sqrt (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/sort.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sort.m ***** error sort (sym(1), 2) ***** test f = [sym(1), sym(0)]; expected = sym([0, 1]); assert (isequal (sort(f), expected)) ***** test f = [sym(1)]; expected = sym(1); assert (isequal (sort(f), expected)) ***** test f = [sym(3), sym(2), sym(6)]; s = sort(f); expected_s = sym([2, 3, 6]); assert (isequal (s, expected_s)) ***** test f = [sym(pi), sin(sym(2)), sqrt(sym(6))]; s = sort(f); expected_s = sym([sin(sym(2)), sqrt(sym(6)), sym(pi)]); assert (isequal (s, expected_s)) ***** test f = [sym(1), sym(2); sym(2), sym(pi); sym(pi), sym(1)]; s = sort(f); expected_s = ([sym(1), sym(1); sym(2), sym(2); sym(pi), sym(pi)]); assert (isequal (s, expected_s)) ***** assert (isequal (sort(sym([])), sym([]))) ***** error sort([sym('x') 1]) ***** test % but with assumptions, symbols can be sorted p = sym('p', 'positive'); n = sym('n', 'negative'); expected_s = [n p]; s = sort ([p n]); assert (isequal (s, expected_s)) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/solve.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/solve.m ***** test % Simple, single variable, single solution syms x d = solve(10*x == 50); assert (isequal (d, 5)) ***** test % Single variable, multiple solutions syms x d = solve(x^2 == 4); assert (length(d) == 2); assert (isequal (d, [2; -2]) || isequal (d, [-2; 2])) ***** shared x,y,eq syms x y eq = 10*x == 20*y; ***** test d = solve(eq, x); assert (isequal (d, 2*y)) ***** test d = solve(eq, y); assert (isequal (d, x/2)) ***** test d = solve(eq); assert (isequal (d, 2*y)) ***** shared x,y syms x y ***** test d = solve(2*x - 3*y == 0, x + y == 1); assert (isequal (d.x, sym(3)/5) && isequal(d.y, sym(2)/5)) ***** test d = solve(2*x - 3*y == 0, x + y == 1, x, y); assert (isequal (d.x, sym(3)/5) && isequal(d.y, sym(2)/5)) ***** test % Multiple solutions, multiple variables d = solve(x^2 == 4, x + y == 1); assert (length(d) == 2); % FIXME: SMT has d.x gives vector and d.y giving vector, what is % more intuitive? for i = 1:2 assert (isequal (d{i}.x + d{i}.y, 1)) assert (isequal ((d{i}.x)^2, 4)) end ***** test % No solutions syms x y z d = solve(x == y, z); assert (isempty (d)); ***** test % Multiple outputs with single solution [X, Y] = solve(2*x + y == 5, x + y == 3); assert (isequal (X, 2)) assert (isequal (Y, 1)) ***** test % system: vector of equations, vector of vars [X, Y] = solve([2*x + y == 5, x + y == 3], [x y]); assert (isequal (X, 2)) assert (isequal (Y, 1)) ***** test % system: vector of equations, individual vars [X, Y] = solve([2*x + y == 5, x + y == 3], x, y); assert (isequal (X, 2)) assert (isequal (Y, 1)) ***** test % system: individual equations, vector of vars [X, Y] = solve(2*x + y == 5, x + y == 3, [x y]); assert (isequal (X, 2)) assert (isequal (Y, 1)) ***** test % Multiple outputs with multiple solns [X, Y] = solve(x*x == 4, x == 2*y); assert ((isequal (X, [2; -2]) && isequal (Y, [1; -1])) || ... (isequal (X, [-2; 2]) && isequal (Y, [-1; 1]))) ***** test % Multiple outputs with multiple solns, specify vars [X, Y] = solve(x*x == 4, x == 2*y, x, y); assert ((isequal (X, [2; -2]) && isequal (Y, [1; -1])) || ... (isequal (X, [-2; 2]) && isequal (Y, [-1; 1]))) ***** error % mult outputs not allowed for scalar equation, even with mult soln (?) [s1, s2] = solve(x^2 == 4, x); ***** test % overdetermined X = solve(2*x - 10 == 0, 3*x - 15 == 0, x); assert (isequal (X, sym(5))) ***** test a = solve(2*x >= 10, 10*x <= 50); assert (isequal( a, x==sym(5))) ***** test A = solve([2*x == 4*y, 2 == 3], x); assert (isequal (A, sym(false))) ***** test % Issue #850 if (python_cmd('return Version(spver) > Version("1.1.1")')) A = solve (sym(pi)^2*x + y == 0); assert (isequal (A, -y/sym(pi)^2)) end ***** test % https://github.com/sympy/sympy/issues/14632 A = solve([2*x == 4*y, sym(2) == 2], x); assert (isequal (A, 2*y)) ***** test % https://github.com/sympy/sympy/issues/14632 A = solve([2*x^2 == 32*y^2, sym(2) == 2], x); B = solve([2*x^2 == 32*y^2], x); assert (isequal (A, B) || isequal (A, flip (B))) ***** test A = solve ([x+1 0], x); assert (isequal (A, sym (-1))) ***** test A = solve (x + 1, x); assert (isequal (A, sym (-1))) A = solve (x, x); assert (isequal (A, sym (0))) 24 tests, 24 passed, 0 known failure, 0 skipped [inst/@sym/size.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/size.m ***** test a = sym([1 2 3]); [n,m] = size(a); assert (n == 1 && m == 3) ***** test a = sym([1 2 3]); n = size(a); assert (isequal (n, [1 3])) ***** test %% size, numel, length a = sym([1 2 3; 4 5 6]); assert (isa (size(a), 'double')) assert (isa (numel(a), 'double')) assert (isa (length(a), 'double')) assert (isequal (size(a), [2 3])) assert (length(a) == 3) assert (numel(a) == 6) a = sym([1; 2; 3]); assert (isequal (size(a), [3 1])) assert (length(a) == 3) assert (numel(a) == 3) ***** test %% size by dim a = sym([1 2 3; 4 5 6]); n = size(a, 1); assert (n == 2) m = size(a, 2); assert (m == 3) a = sym([1 2 3]'); n = size(a, 1); assert (n == 3) m = size(a, 2); assert (m == 1) ***** xtest % symbolic-size matrices syms n m integer A = sym('A', [n m]); d = size(A); assert (~isa(d, 'sym')) assert (isnumeric(d)) assert (isequaln (d, [NaN NaN])) !!!!! known failure assert (isequaln (d, [NaN, NaN])) failed ***** xtest % half-symbolic-size matrices % FIXME: will fail until size stop lying by saying 1x1 syms n integer A = sym('A', [n 3]); assert (isequaln (size(A), [NaN 3])) A = sym('A', [4 n]); assert (isequaln (size(A), [4 NaN])) !!!!! known failure assert (isequaln (size (A), [NaN, 3])) failed ***** xtest % half-symbolic-size empty matrices % FIXME: will fail until size stop lying by saying 1x1 syms n integer A = sym('A', [n 0]); assert (isequaln (size(A), [NaN 0])) !!!!! known failure assert (isequaln (size (A), [NaN, 0])) failed 7 tests, 4 passed, 3 known failures, 0 skipped [inst/@sym/sinint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sinint.m ***** error sinint (sym(1), 2) ***** xtest assert (isequaln (sinint (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (sinint (sym (nan)), sym (nan))) failed ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sinint(x); f2 = 0.9460830703671830149414; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sinint(A); f2 = 0.9460830703671830149414; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = sinint (d); f = sinint (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/sinhint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sinhint.m ***** error sinhint (sym(1), 2) ***** xtest assert (isequaln (sinhint (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (sinhint (sym (nan)), sym (nan))) failed ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sinhint(x); f2 = 1.057250875375728514572; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sinhint(A); f2 = 1.057250875375728514572; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = sinhint (d); f = sinhint (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/sinh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sinh.m ***** error sinh (sym(1), 2) ***** assert (isequaln (sinh (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sinh(x); f2 = sinh(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sinh(A); f2 = sinh(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = sinh (d); f = sinh (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/sind.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sind.m ***** error sind (sym(1), 2) ***** assert (isequaln (sind (sym(nan)), sym(nan))) ***** test f1 = sind (sym(1)); f2 = sind (1); assert (double (f1), f2, -eps) ***** test D = [10 30; 110 -45]; A = sym(D); f1 = sind (A); f2 = sind (D); assert (double (f1), f2, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/sin.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sin.m ***** error sin (sym(1), 2) ***** assert (isequaln (sin (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sin(x); f2 = sin(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sin(A); f2 = sin(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = sin (d); f = sin (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/simplify.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/simplify.m ***** shared x,p,q syms x p = x^2 + x + 1; q = horner (p); ***** assert(~isequal( p - q, 0)) ***** assert(isequal( simplify(p - q), 0)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/signIm.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/signIm.m ***** assert (isequal (signIm (sym(1)), sym(0))) ***** assert (isequal (signIm (sym(1) + 2i), sym(1))) ***** assert (isequal (signIm (sym(1) - 2i), sym(-1))) ***** test % intermediate A looks bit weird, but it works syms z A = signIm (z); assert (isequal (subs(A, z, 3+sym(4i)), sym(1))) assert (isequal (subs(A, z, 3-sym(4i)), sym(-1))) ***** test % really a @sym/sign test, but that one is autogen z = 3 + sym(4i); A = sign (z); B = z / abs(z); assert (double (A), double (B), eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/sign.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sign.m ***** error sign (sym(1), 2) ***** assert (isequaln (sign (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sign(x); f2 = sign(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sign(A); f2 = sign(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = sign (d); f = sign (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/setxor.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/setxor.m ***** test A = sym([1 2 3]); B = sym([1 2 4]); C = setxor(A, B); D1 = sym([3 4]); D2 = sym([4 3]); assert (isequal (C, D1) || isequal (C, D2)) ***** test % one nonsym A = sym([1 2 3]); B = [1 2 4]; C = setxor(A, B); D1 = sym([3 4]); D2 = sym([4 3]); assert (isequal (C, D1) || isequal (C, D2)) ***** test % empty A = sym([1 2 3]); C = setxor(A, A); assert (isempty (C)) ***** test % empty input A = sym([1 2]); C = setxor(A, []); assert (isequal (C, A) || isequal (C, sym([2 1]))) ***** test % scalar syms x assert (isequal (setxor([x 1], x), sym(1))) assert (isempty (setxor(x, x))) ***** test A = interval(sym(1), 3); B = interval(sym(2), 5); C = setxor(A, B); D = union (interval (sym(1), 2, false, true), interval (sym(3), 5, true, false)); assert( isequal( C, D)) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/setdiff.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/setdiff.m ***** test A = sym([1 2 3]); B = sym([1 2 4]); C = setdiff(A, B); D = sym([3]); assert (isequal (C, D)) ***** test % one nonsym A = sym([1 2 3]); B = [1 2 4]; C = setdiff(A, B); D = sym([3]); assert (isequal (C, D)) ***** test % empty A = sym([1 2 3]); C = setdiff(A, A); assert (isempty (C)) ***** test % empty input A = sym([1 2]); C = setdiff(A, []); assert (isequal (C, A) || isequal (C, sym([2 1]))) ***** test % scalar syms x assert (isequal (setdiff([x 1], x), sym(1))) assert (isempty (setdiff(x, x))) ***** test A = interval(sym(1), 3); B = interval(sym(2), 5); C = setdiff(A, B); assert( isequal( C, interval(sym(1), 2, false, true))) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/sech.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sech.m ***** error sech (sym(1), 2) ***** assert (isequaln (sech (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sech(x); f2 = sech(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sech(A); f2 = sech(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = sech (d); f = sech (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/sec.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/sec.m ***** error sec (sym(1), 2) ***** assert (isequaln (sec (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = sec(x); f2 = sec(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = sec(A); f2 = sec(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = sec (d); f = sec (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/rref.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/rref.m ***** test A = sym([1 2; 3 4]); [r, k] = rref(A); assert (isequal (r, eye(2))) assert (isequal (k, [1 2])) ***** assert (isequal (rref(sym([2 1])), [1 sym(1)/2])) ***** assert (isequal (rref(sym([1 2; 2 4])), [1 2; 0 0])) ***** assert (isequal (rref(sym([0 0; 2 4])), [1 2; 0 0])) ***** test A = sym([1 2 3; 2 3 4]); [r, k] = rref(A); assert (isequal (r, [1 0 -1; 0 1 2])) assert (isequal (k, [1 2])); 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/rows.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/rows.m ***** test a = sym([1 2 3]); assert (rows(a) == 1) ***** test a = sym([1 2 3; 4 5 6]); assert (rows(a) == 2) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/round.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/round.m ***** test d = 3/2; x = sym('3/2'); f1 = round(x); f2 = round(d); assert (isequal (f1, f2)) ***** test d = 5/2; x = sym('5/2'); f1 = round(x); f2 = round(d); assert (isequal (f1, f2)) ***** test D = [1.1 4.6; -3.4 -8.9]; A = [sym(11)/10 sym(46)/10; sym(-34)/10 sym(-89)/10]; f1 = round(A); f2 = round(D); assert( isequal (f1, f2)) ***** test d = sym(-11)/10; c = -1; assert (isequal (round (d), c)) ***** test d = sym(-19)/10; c = -2; assert (isequal (round (d), c)) ***** test d = 5j/2; x = sym(5j)/2; f1 = round (x); f2 = round (d); assert (isequal (f1, f2)) ***** test d = 5/3 - 4j/7; x = sym(5)/3 - sym(4j)/7; f1 = round (x); f2 = round (d); assert (isequal (f1, f2)) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/rhs.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/rhs.m ***** test syms x f = x + 1 == 2*x; assert (isequal (rhs(f), 2*x)) ***** error syms x rhs(x) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/rewrite.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/rewrite.m ***** test syms x assert (isequal (rewrite(x, 'exp'), x)) ***** test % empty e = sym([]); assert (isequal (rewrite(e, 'sin'), e)) ***** test syms x A = [exp(x) exp(2*x)]; B = [sinh(x) + cosh(x) sinh(2*x) + cosh(2*x)]; assert (isequal (rewrite(A, 'sin'), B)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/resize.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/resize.m ***** test B = sym([1 0 0; 0 0 0]); assert (isequal (resize (sym(1), 2, 3), B)) assert (isequal (resize (sym(1), [2 3]), B)) ***** test B = sym([1 0; 0 0]); assert (isequal (resize (sym(1), 2), B)) ***** test A = sym([pi 2; 3 4]); assert (isequal (resize (A, 1), sym(pi))) ***** assert (isequal (size (resize (sym(1), 0, 0)), [0 0])) ***** assert (isequal (size (resize (sym(1), 6, 0)), [6 0])) ***** assert (isequal (size (resize (sym(1), 0, 3)), [0 3])) ***** error resize (sym(1)) ***** error resize (sym(1), 2, 3, 4) ***** error resize (sym(1), [2 3 4]) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/reshape.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/reshape.m ***** test d = [2 4 6; 8 10 12]; a = sym(d); assert (isequal (reshape(a, [1 6]), reshape(d, [1 6]))) assert (isequal (reshape(a, 1, 6), reshape(d, 1, 6))) assert (isequal (reshape(a, 2, 3), reshape(d, 2, 3))) assert (isequal (reshape(a, 3, 2), reshape(d, 3, 2))) assert (isequal (reshape(a, 6, 1), reshape(d, 6, 1))) ***** shared x, a, d syms x a = [1 x^2 x^4; x x^3 x^5]; d = [0 2 4; 1 3 5]; ***** test b = reshape(a, [1 6]); assert (isequal (size(b), [1 6])) assert (isequal (b, x.^reshape(d,1,6))) ***** test b = reshape(a, [6 1]); assert (isequal (size(b), [6 1])) assert (isequal (b, x.^reshape(d,6,1))) b = reshape(b, size(a)); assert (isequal (size(b), [2 3])) assert (isequal (b, a)) ***** test b = a(:); assert( isequal (size(b), [6 1])) assert( isequal (b, x.^(d(:)))) ***** test % reshape scalar assert (logical( reshape(x, 1, 1) == x )) assert (logical( reshape(x, [1 1]) == x )) ***** shared a syms a ***** error reshape(a, 2, 1) ***** error reshape(a, 1, 2) ***** error reshape(a, 1, 1, 1) ***** error reshape(a, [1, 1, 1]) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/repmat.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/repmat.m ***** test % simple syms x A = [x x x; x x x]; assert (isequal (repmat(x, 2, 3), A)) ***** test % block cf double A = [1 2 3; 4 5 6]; B = sym(A); C = repmat(A, 2, 3); D = repmat(B, 2, 3); assert (isequal (C, D)) ***** test % empty A = repmat(sym([]), 2, 3); assert (isempty(A)); assert (isequal (size(A), [0 0])) ***** test % more empties A = repmat(sym(pi), [0 0]); assert (isequal (size(A), [0 0])) A = repmat(sym(pi), [0 3]); assert (isequal (size(A), [0 3])) A = repmat(sym(pi), [2 0]); assert (isequal (size(A), [2 0])) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/real.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/real.m ***** assert (isequal (real (sym (4) + 3i),4)) ***** test syms x y real z = x + 1i*y; assert (isequal (real (z),x)) ***** test syms x y real Z = [4 x + 1i*y; x 4 + 3i]; assert (isequal (real (Z),[4 x; x 4])) ***** test syms x real d = exp (x*i); assert (isequal (real (d), cos (x))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.1.1")')) syms x d = 3 - 5i; f = real (x); A = real (d); h = function_handle (f); B = h (d); assert (A, B) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/rdivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/rdivide.m ***** test % scalar syms x assert (isa (x ./ 1, 'sym')) assert (isa (x ./ x, 'sym')) assert (isequal (x ./ 1, x)) assert (isequal (x ./ x, sym(1))) ***** test % matrix-scalar D = 2*[0 1; 2 3]; A = sym(D); assert (isequal ( A./2 , D/2 )) assert (isequal ( A./sym(2) , D/2 )) assert (isequal ( D./sym(2) , D/2 )) ***** test % matrix ./ matrix D = [1 2; 3 4]; A = sym(D); assert (isequal ( A./A , D./D )) assert (isequal ( A./D , D./D )) assert (isequal ( D./A , D./D )) ***** test % matrix ./ matrix with symbols syms x y A = [x y; x^2 2*y]; B = [y x; x y]; assert (isequal ( A./A , sym(ones(2,2)) )) assert (isequal ( A./B , [x/y y/x; x 2] )) ***** test % scalar ./ matrix D = [1 2; 3 4]; A = sym(D); assert (isequal ( 12./A , 12./D )) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/rank.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/rank.m ***** test A = sym([1 2; 3 4]); assert (rank(A) == 2); ***** test A = sym([1 2 3; 3 4 5]); assert (rank(A) == 2); ***** test A = sym([1 2; 1 2]); assert (rank(A) == 1); ***** test A = sym([1 2; 3 4]); assert (rank(A) == 2); ***** assert (rank(sym(1)) == 1); ***** assert (rank(sym(0)) == 0); ***** assert (rank(sym('x', 'positive')) == 1); 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/qr.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/qr.m ***** test % scalar [q, r] = qr(sym(6)); assert (isequal (q, sym(1))) assert (isequal (r, sym(6))) syms x [q, r] = qr(x); assert (isequal (q*r, x)) % could hardcode this if desired %assert (isequal (q, sym(1))) %assert (isequal (r, x)) ***** test A = [1 2; 3 4]; B = sym(A); [Q, R] = qr(B); assert (isequal (Q*R, B)) assert (isequal (R(2,1), sym(0))) assert (isequal (Q(:,1)'*Q(:,2), sym(0))) %[QA, RA] = qr(A) %assert ( max(max(double(Q)-QA)) <= 10*eps) %assert ( max(max(double(Q)-QA)) <= 10*eps) ***** test % non square: tall skinny A = sym([1 2; 3 4; 5 6]); [Q, R] = qr (A, 0); assert (size (Q), [3 2]) assert (size (R), [2 2]) assert (isequal (Q*R, A)) ***** error % non square: short fat: not yet implemented upstream [Q, R] = qr (sym([1 2]), 0); ***** error [Q, R, P] = qr (sym(1)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/psi.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/psi.m ***** assert (isequal (psi (sym (1)), -eulergamma)) ***** assert (isequal (psi (1, sym (1)), sym (pi)^2/6)) ***** assert (isinf (psi (sym ('inf')))) ***** test % compare to Maple: evalf(Psi(-101/100)); maple = vpa ('100.3963127058453949545769053445198842332424', 40); us = vpa (psi (sym (-101)/100), 40); assert (abs(double(maple-us)) < 1e-39) ***** test % compare to Maple: evalf(Psi(1, 3*I-2)); maple = vpa ('-0.1651414829219882371561038184133243839778799', 40) - ... vpa ('0.1960040752985823275302034466611711263617296j', 40); us = vpa (psi (1, sym (-2) + sym(3i)), 40); assert (abs(double(maple-us)) < 1e-39) ***** test % should match @double/psi if (exist ('psi','builtin')) assert (psi (pi), double (psi (sym (pi))), -3*eps) assert (psi (100), double (psi (sym (100))), -3*eps) assert (psi (1e-3), double (psi (1/sym (1e3))), -3*eps) if (exist ('OCTAVE_VERSION', 'builtin')) % 2014a doesn't support negative or complex arguments assert (psi (-1.5), double (psi (sym (-3)/2)), -3*eps) assert (psi (-8.3), double (psi (sym (-83)/10)),-4*eps) assert (psi (2i), double (psi (sym (2i))), -3*eps) assert (psi (10i+3), double (psi (sym (10i)+3)), -3*eps) end end ***** test % @double/psi loses accuracy near the poles: note higher rel tol if (exist ('psi','builtin')) if (exist ('OCTAVE_VERSION', 'builtin')) assert (psi (-1.1), double (psi (sym (-11)/10)), -6*eps) assert (psi (-1.01), double (psi (sym (-101)/100)), -50*eps) end end ***** test if (exist ('psi','builtin')) assert (psi (1, pi), double (psi (1, sym (pi))), -3*eps) assert (psi (1, 100), double (psi (1, sym (100))), -3*eps) assert (psi (1, 1e-4), double (psi (1, 1/sym (1e4))), -3*eps) end ***** test if (exist ('psi','builtin')) assert (psi (2, pi), double (psi (2, sym (pi))), -3*eps) assert (psi (2, 1000), double (psi (2, sym (1000))), -3*eps) assert (psi (2, 1e-4), double (psi (2, 1/sym (1e4))), -3*eps) end ***** test % round trip if (exist ('psi','builtin')) if (python_cmd ('return Version(spver) > Version("1.0")')) syms x f = psi (x); h = function_handle (f); A = h (1.1); B = psi (1.1); assert (A, B) end end 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@sym/prod.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/prod.m ***** error prod (sym(1), 2, 3) ***** error prod (sym(1), 42) ***** shared x,y,z syms x y z ***** assert (isequal (prod (x), x)) ***** assert (isequal (prod ([x y z]), x*y*z)) ***** assert (isequal (prod ([x; y; z]), x*y*z)) ***** assert (isequal (prod ([x y z], 1), [x y z])) ***** assert (isequal (prod ([x y z], 2), x*y*z)) ***** shared a,b b = [1 2; 3 4]; a = sym(b); ***** assert (isequal (prod(a), prod(b))) ***** assert (isequal (prod(a,1), prod(b,1))) ***** assert (isequal (prod(a,2), prod(b,2))) ***** test % weird inputs a = prod('xx', sym(1)); assert (isequal (a, sym('xx'))) 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/private_disp_name.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/private_disp_name.m ***** test syms x s = private_disp_name(x, 'x'); assert (strcmp (s, 'x')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/prevprime.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/prevprime.m ***** assert (isequal (prevprime(sym(3)), 2)); ***** assert (isequal (prevprime(sym(20)), 19)); ***** assert (isequal (prevprime(sym([3 5 10])), [2 3 7])); ***** error prevprime(sym(2)) ***** error prevprime(sym(-2)) ***** test % result is a sym p = prevprime(sym(3)); assert (isa (p, 'sym')) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/pretty.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/pretty.m ***** test % simple syms x s1 = pretty(sin(x)); s2 = sprintf(' sin(x)\n'); assert (strcmp (s1, s2)) ***** test % force ascii syms x s1 = pretty(sin(x/2), 'ascii'); s2 = sprintf(' /x\\\n sin|-|\n \\2/\n'); swin = strrep(s1, sprintf('\r\n'), sprintf('\n')); assert (strcmp (s1, s2) || strcmp (swin, s2)) ***** test % force unicode syms x s1 = pretty(sin(x/2), 'unicode'); s2 = sprintf(' ⎛x⎞\n sin⎜─⎟\n ⎝2⎠\n'); swin = strrep(s1, sprintf('\r\n'), sprintf('\n')); assert (strcmp (s1, s2) || strcmp (swin, s2)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/power.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/power.m ***** test % scalar .^ scalar syms x assert (isa (x.^2, 'sym')) assert (isa (2.^x, 'sym')) assert (isa (x.^x, 'sym')) assert (isequal (x.^2, x^2)) assert (isequal (2.^x, 2^x)) assert (isequal (x.^x, x^x)) ***** test % scalar .^ matrix D = [0 1; 2 3]; A = sym(D); assert (isequal ( sym(2).^D , 2.^D )) assert (isequal ( sym(2).^A , 2.^A )) assert (isequal ( 2.^D , 2.^A )) assert (isequal ( 2.^A , 2.^A )) ***** test % matrix .^ matrix syms x A = [x 2*x; 3*x 4*x]; D = [0 1; 2 3]; B = sym(D); assert (isequal ( A.^D, [1 2*x; 9*x^2 64*x^3] )) assert (isequal ( A.^B, [1 2*x; 9*x^2 64*x^3] )) ***** test % matrix .^ scalar syms x A = [x 2*x]; assert (isequal ( A.^2, [x^2 4*x^2] )) assert (isequal ( A.^sym(2), [x^2 4*x^2] )) ***** test % 1^oo % (sympy >= 0.7.5 gives NaN, SMT R2013b: gives 1) oo = sym(inf); assert (isnan (1^oo)) ***** test % 1^zoo % (1 on sympy 0.7.4--0.7.6, but nan in git (2014-12-12, a210908d4)) zoo = sym('zoo'); assert (isnan (1^zoo)) ***** test % immutable test A = sym([1 2]); B = sym('ImmutableDenseMatrix([[Integer(1), Integer(2)]])'); assert (isequal (A.^A, B.^B)) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/potential.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/potential.m ***** error potential (sym(1), 2, 3, 4) ***** shared x,y,z syms x y z ***** test % 1D f = 3*x^2; F = x^3; assert (isequal (potential(f), F)) assert (isequal (potential(f, x), F)) assert (isequal (potential(f, x, 0), F)) assert (isequal (potential(f, x, 2), F - 8)) ***** test F = x*exp(y) + (z-1)^2; f = gradient(F); G = potential(f, [x;y;z], [0;1;1]); assert (isAlways (G == F)) ***** test F = x*exp(y); f = gradient(F); G = potential(f); assert (isAlways (G == F)) ***** test % no potential exists syms x y a = [x; x*y^2]; assert (isnan (potential (a))) ***** shared ***** xtest % fails b/c of sympy #8458 (piecewise expr that should simplify) syms x f = cos(x); assert (isequal (potential(f, x), sin(x))) !!!!! known failure assert (isequal (potential (f, x), sin (x))) failed 6 tests, 5 passed, 1 known failure, 0 skipped [inst/@sym/polylog.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/polylog.m ***** assert (isequal (polylog (sym('s'), 0), sym(0))) ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) assert (isequal (double (polylog (1, sym(-1))), -log(2))) end ***** assert (isequal (double (polylog (0, sym(2))), -2)) ***** assert (isequal (double (polylog (-1, sym(2))), 2)) ***** assert (isequal (double (polylog (-2, sym(3))), -1.5)) ***** assert (isequal (double (polylog (-3, sym(2))), 26)) ***** assert (isequal (double (polylog (-4, sym(3))), -15)) ***** assert (isequal (double (polylog (1, sym(1)/2)), log(2))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms s z f = polylog (s, z); h = function_handle (f, 'vars', [s z]); A = h (1.1, 2.2); B = polylog (1.1, 2.2); assert (A, B) end 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/pochhammer.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/pochhammer.m ***** error pochhammer (sym(1)) ***** error pochhammer (sym(1), 2, 3) ***** assert (isequal (pochhammer (sym(3), 4), sym(360))) ***** assert (isequal (pochhammer (sym([2 3]), 3), sym([24 60]))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.2")')) syms n z f = pochhammer (z, n); h = function_handle (f, 'vars', [z n]); A = h (1.1, 2.2); B = pochhammer (1.1, 2.2); assert (A, B) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/plus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/plus.m ***** test % basic addition syms x assert (isa (x+5, 'sym')) assert (isa (5+x, 'sym')) assert (isa (5+sym(4), 'sym')) assert (isequal (5+sym(4), sym(9))) ***** test % array addition syms x D = [0 1; 2 3]; A = [sym(0) 1; sym(2) 3]; DZ = D - D; assert( isequal ( A + D , 2*D )) assert( isequal ( D + A , 2*D )) assert( isequal ( A + A , 2*D )) assert( isequal ( A + 2 , D + 2 )) assert( isequal ( 4 + A , 4 + D )) ***** test % ensure MatrixExpr can be manipulated somewhat syms n m integer A = sym('A', [n m]); B = subs(A, [n m], [5 6]); B = B + 1; assert (isa (B, 'sym')) C = B(1, 1); % currently makes a MatrixElement C = C + 1; assert (isa (C, 'sym')) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/pinv.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/pinv.m ***** test % scalar syms x assert (isequal (pinv(x), 1/x)) ***** test % 2x3 A = [1 2 3; 4 5 6]; assert (max (max (abs (double (pinv (sym (A))) - pinv(A)))) <= 10*eps) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/permute.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/permute.m ***** error permute (sym(1)) ***** test D = round(10*rand(5,3)); A = sym(D); B = permute(A, [1 2]); assert (isequal(B, A)) B = permute(A, [2 1]); assert (isequal(B, A.')) ***** test syms x A = [1 x]; B = permute(A, [2 1]); assert (isequal(B, [1; x])) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/partfrac.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/partfrac.m ***** test % basic syms x y z assert(logical( partfrac(y/(x + 2)/(x + 1),x) == -y/(x + 2) + y/(x + 1) )) assert(logical( factor(partfrac(x^2/(x^2 - y^2),y)) == factor(x/(2*(x + y)) + x/(2*(x - y)) ))) assert(logical( factor(partfrac(x^2/(x^2 - y^2),x)) == factor(-y/(2*(x + y)) + y/(2*(x - y)) + 1 ))) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/orth.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/orth.m ***** test A = [1 2; 3 6]; K = orth(A); L = orth(sym(A)); assert (isequal (size(L), [2 1])) dif1 = abs (double(L) - K); dif2 = abs (double(L) + K); assert (all (dif1 < 1e-15) || all (dif2 < 1e-15)) ***** test A = [1; 3]; K = orth(A); L = orth(sym(A)); assert (isequal (size(L), [2 1])) dif1 = abs (double(L) - K); dif2 = abs (double(L) + K); assert (all (dif1 < 1e-16) || all (dif2 < 1e-16)) ***** test A = sym([1 2; 3 4]); L = orth(sym(A)); assert (isequal (size(L), [2 2])) v = L(:, 1); w = L(:, 2); assert (isAlways (v' * v == 1)) assert (isAlways (w' * w == 1)) assert (isAlways (v' * w == 0)) ***** test A = sym([1 1; 1 0; 1 0]); L = orth(sym(A)); assert (isequal (size(L), [3 2])) v = L(:, 1); w = L(:, 2); assert (isAlways (v' * v == 1)) assert (isAlways (w' * w == 1)) assert (isAlways (v' * w == 0)) % y and z components must be equal assert (isAlways (v(2) == v(3))) assert (isAlways (w(2) == w(3))) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/or.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/or.m ***** shared t, f t = sym(true); f = sym(false); ***** test % simple assert (isequal (t | f, t)) assert (isequal (t | t, t)) assert (isequal (f | f, f)) ***** test % array w = [t t f f]; z = [t f t f]; assert (isequal (w | z, [t t t f])) ***** test % output is sym even for scalar t/f assert (isa (t | f, 'sym')) ***** test % eqns syms x e = or(x == 4, x == 5); assert (isequal (subs(e, x, [3 4 5 6]), [f t t f])) ***** error or (sym(1), 2, 3) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ones.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ones.m ***** test y = ones(sym(2)); x = [1 1; 1 1]; assert( isequal( y, sym(x))) ***** test y = ones(sym(2), 1); x = [1; 1]; assert( isequal( y, sym(x))) ***** test y = ones(sym(1), 2); x = [1 1]; assert( isequal( y, sym(x))) ***** assert( isa( ones(sym(2), 'double'), 'double')) ***** assert( isa( ones(3, sym(3), 'single') , 'single')) ***** assert( isa( ones(3, sym(3)), 'sym')) ***** assert( isa( ones(3, sym(3), 'sym'), 'sym')) ***** xtest % Issue #13 assert( isa( ones(3, 3, 'sym'), 'sym')) !!!!! known failure invalid data type specified 8 tests, 7 passed, 1 known failure, 0 skipped [inst/@sym/numel.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/numel.m ***** test a = sym([1 2 3]); assert(numel(a) == 3); ***** test % 2D array a = sym([1 2 3; 4 5 6]); assert(numel(a) == 6); ***** test % empty a = sym([]); assert(numel(a) == 0); 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/numden.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/numden.m ***** test [n, d] = numden(sym(2)); assert (isequal (n, 2)); assert (isequal (d, 1)); ***** test syms x y [n, d] = numden((x + pi)/(y + 6)); assert (isequal (n, x + pi)); assert (isequal (d, y + 6)); ***** test syms x y [n, d] = numden((x^2 + y^2)/(x*y)); assert (isequal (n, x^2 + y^2)); assert (isequal (d, x*y)); 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/numdem.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/numdem.m ***** error numdem (sym(1), 2) ***** test syms x [n, d] = numdem(1/x); assert (isequal (n, sym(1)) && isequal (d, x)) ***** test syms x y n1 = [sym(1); x]; d1 = [x; y]; [n, d] = numdem(n1 ./ d1); assert (isequal (n, n1) && isequal (d, d1)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/null.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/null.m ***** test A = sym([1 2; 3 4]); assert (isempty (null (A))) ***** assert (isempty (null (sym(4)))) ***** test A = sym([1 2 3; 3 4 5]); assert (isequal (null(A), sym([1;-2;1]))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/not.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/not.m ***** shared t, f t = sym(true); f = sym(false); ***** test % simple assert (isequal( ~t, f)) assert (isequal( ~t, f)) ***** test % array w = [t t f t]; z = [f f t f]; assert (isequal( ~w, z)) ***** test % number assert (isequal( ~sym(5), f)) assert (isequal( ~sym(0), t)) ***** test % output is sym syms x e = ~(x == 4); assert (isa (e, 'sym')) assert (strncmp (sympy(e), 'Unequality', 10)) ***** test % output is sym even for scalar t/f (should match other bool fcns) assert (isa (~t, 'sym')) ***** test % symbol ineq syms x a = [t f x == 1 x ~= 2 x < 3 x <= 4 x > 5 x >= 6]; b = [f t x ~= 1 x == 2 x >= 3 x > 4 x <= 5 x < 6]; assert (isequal( ~a, b)) ***** test syms x y = ~x; s = disp(y, 'flat'); assert (strcmp (strtrim (s), '~x') || strcmpi (strtrim (s), 'Not(x)')) ***** error not (sym(1), 2) 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/norm.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/norm.m ***** assert (isequal (norm(sym(-6)), 6)) ***** test % 2-norm default A = [1 2; 3 4]; n1 = norm (sym (A)); assert (isequal (n1, sqrt (sqrt (sym(221)) + 15))) assert (norm (A), double (n1), -eps) ***** test syms x y real assert (isequal (norm([x 1; 3 y], 'fro'), sqrt(x^2 + y^2 + 10))) ***** test syms x real assert (isequal (norm([x 1], 2), sqrt(x^2 + 1))) ***** test % test sym vs double ord syms x assert (isequal (norm([x 2 1], 1), abs(x) + 3)) assert (isequal (norm([x 2 1], sym(1)), abs(x) + 3)) assert (isequal (norm([sym(-3) 2 1], inf), sym(3))) assert (isequal (norm([sym(-3) 2 1], sym(inf)), sym(3))) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/nnz.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/nnz.m ***** assert (nnz (sym ([1])) == 1) ***** assert (nnz (sym ([0])) == 0) ***** assert (nnz (sym ([])) == 0) ***** assert (nnz (sym ([1 0; 0 3])) == 2) ***** test syms x assert (nnz ([x 0]) == 1) ***** assert (nnz (sym (true)) == 1) ***** assert (nnz (sym (false)) == 0) ***** assert (nnz (sym (inf)) == 1) ***** assert (nnz (sym (nan)) == 1) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/nextprime.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/nextprime.m ***** assert (isequal (nextprime(sym(2)), 3)); ***** assert (isequal (nextprime(sym(18)), 19)); ***** assert (isequal (nextprime(sym([1 2 3])), [2 3 5])); ***** assert (isequal (nextprime(sym([-1 0])), [2 2])); ***** test % result is a sym p = nextprime(sym(2)); assert (isa (p, 'sym')) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ne.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ne.m ***** test % simple x = sym(1); y = sym(1); e = x ~= y; assert (~logical (e)) x = sym(1); y = sym(2); e = x ~= y; assert (logical(e)) ***** test % array -- array syms x a = sym([1 3 3 2*x]); b = sym([2 x 3 10]); e = a ~= b; assert (isa (e, 'sym')) assert (logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), 3 ~= x)) assert (~logical (e(3))) assert (isa (e(4), 'sym')) assert (isequal (e(4), 2*x ~= 10)) ***** test % oo syms oo x e = oo ~= x; assert (isa (e, 'sym')) s = strtrim (disp (e, 'flat')); % SymPy <= 0.7.6.x will be '!=', newer gives 'Ne', test both assert (strcmp (s, 'oo != x') || strcmp (s, 'Ne(oo, x)')) ***** test % nan syms oo x snan = sym(nan); e = snan ~= sym(0); assert (logical (e)) e = snan ~= snan; assert (logical (e)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/nchoosek.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/nchoosek.m ***** assert (isequal (nchoosek(sym(5), sym(2)), sym(10))) ***** assert (isequal (nchoosek(sym(5), 2), sym(10))) ***** assert (isequal (nchoosek(5, sym(2)), sym(10))) ***** assert (isequal (nchoosek(sym(10), 0), 1)) ***** assert (isequal (nchoosek(sym(10), -1), 0)) ***** test n = sym('n', 'nonnegative', 'integer'); assert (isequal (nchoosek (n, n), sym(1))) ***** test n = sym('n', 'integer'); q = nchoosek(n, 2); w = subs(q, n, 5); assert (isequal (w, 10)) ***** test n = sym('n', 'integer'); k = sym('k', 'integer'); q = nchoosek(n, k); w = subs(q, {n k}, {5 2}); assert (isequal (w, 10)) ***** test % negative input assert (isequal (nchoosek (sym(-2), sym(5)), sym(-6))) ***** test % complex input n = sym(1 + 3i); k = sym(5); A = nchoosek (n, k); B = gamma (n + 1) / (gamma (k + 1) * gamma (n - k + 1)); assert (double (A), double (B), -2*eps) ***** test % complex input n = sym(-2 + 3i); k = sym(1 + i); A = nchoosek (n, k); B = gamma (n + 1) / (gamma (k + 1) * gamma (n - k + 1)); assert (double (A), double (B), -2*eps) 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/mtimes.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/mtimes.m ***** test % scalar syms x assert (isa (x*2, 'sym')) assert (isequal (2*sym(3), sym(6))) assert (isequal (sym(2)*3, sym(6))) ***** test % matrix-scalar D = [0 1; 2 3]; A = sym(D); assert (isa (2*A, 'sym')) assert (isequal ( 2*A , 2*D )) assert (isequal ( A*2 , 2*D )) ***** test % matrix-matrix D = [0 1; 2 3]; A = sym(D); assert (isa (A*A, 'sym')) assert (isequal ( A*A , D*D )) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/mrdivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/mrdivide.m ***** test % scalar syms x assert (isa( x/x, 'sym')) assert (isequal( x/x, sym(1))) assert (isa( 2/x, 'sym')) assert (isa( x/2, 'sym')) ***** test % matrix / scalar D = 2*[0 1; 2 3]; A = sym(D); assert (isequal ( A/2 , D/2 )) assert (isequal ( A/sym(2) , D/2 )) ***** test % I/A: either invert A or leave unevaluated: not bothered which A = sym([1 2; 3 4]); B = sym(eye(2)) / A; assert (isequal (B, inv(A)) || strncmpi (sympy (B), 'MatPow', 6)) ***** xtest % immutable test, upstream: TODO A = sym([1 2; 3 4]); B = sym('ImmutableDenseMatrix([[Integer(1), Integer(2)], [Integer(3), Integer(4)]])'); assert (isequal (A/A, B/B)) !!!!! known failure Python exception: NotImplementedError occurred at line 1 of the Python code block: return _ins[0]/_ins[1], ***** test % A = C/B is C = A*B A = sym([1 2; 3 4]); B = sym([1 3; 4 8]); C = A*B; A2 = C / B; assert (isequal (A, A2)) ***** test A = [1 2; 3 4]; B = A / A; % assert (isequal (B, sym(eye(2)) assert (isequal (B(1,1), 1)) assert (isequal (B(2,2), 1)) assert (isequal (B(2,1), 0)) assert (isequal (B(1,2), 0)) ***** test A = sym([5 6]); B = sym([1 2; 3 4]); C = A*B; A2 = C / B; assert (isequal (A, A2)) 7 tests, 6 passed, 1 known failure, 0 skipped [inst/@sym/mpower.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/mpower.m ***** test syms x assert(isequal(x^(sym(4)/5), x.^(sym(4)/5))) ***** test % integer powers of scalars syms x assert (isequal (x^2, x*x)) assert (isequal (x^sym(3), x*x*x)) ***** test % array ^ integer syms x y A = [x 2; y 4]; assert (isequal (A^2, A*A)) assert (isequal (simplify(A^3 - A*A*A), [0 0; 0 0])) ***** test % array ^ rational Ad = [1 2; 0 3]; A = sym(Ad); B = A^(sym(1)/3); Bd = Ad^(1/3); assert (max(max(abs(double(B) - Bd))) < 1e-14) ***** test % non-integer power A = sym([1 2; 0 3]); B = A^pi; C = [1 -1+3^sym(pi); 0 sym(3)^pi]; assert (isequal (B, C)) ***** test % matpow syms n A = sym([1 2; 3 4]); B = A^n; C = 10 + B + B^2; D = subs(C, n, 1); E = 10 + A + A^2; assert (isequal (simplify(D), simplify(E))) ***** test % matpow, sub in zero gives identity A = sym([1 2; 0 3]); syms n; B = A^n; C = subs(B, n, 1); assert (isequal (C, A)) C = subs(B, n, 0); assert (isequal (C, sym(eye(2)))) ***** test % scalar^array works in SymPy > 1.0.0, otherwise not implemented syms x A = [1 2; 3 4]; try B = x^A; waserr = false; catch waserr = true; notimpl = any (strfind (lasterr (), 'NotImplementedError')); end assert ((~ waserr && strcmp (regexprep (disp (B, 'flat'), '\s+', ''), 'x**Matrix([[1,2],[3,4]])')) || (waserr && notimpl)) ***** error A = sym([1 2; 3 4]); B = A^A; 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/mod.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/mod.m ***** error mod (sym(1), 2, 3 ,4) ***** assert (isequal (mod (sym(5), 4), sym(1))) ***** assert (isequal (mod ([sym(5) 8], 4), [1 0] )) ***** assert (isequal (mod (sym(5), [2 3]), [1 2] )) ***** assert (isequal (mod ([sym(5) sym(6)], [2 3]), [1 0] )) ***** test syms x assert (isequal ( mod (5*x, 3), 2*x )) ***** test syms x a = [7*x^2 + 3*x + 3 3*x; 13*x^4 6*x]; assert (isequal ( mod (a,3), [x^2 0; x^4 0] )) ***** test % vector of polys with mix of vars: symvar on each syms x y a = [6*x 7*y]; b = mod(a, 4); c = [2*x 3*y]; assert (isequal (b, c)) ***** test % coeff has variable syms x n = sym('n', 'integer'); p = (3*n + 2)*x; q = mod(p, 3); assert (isequal (q, 2*x)) ***** test % coeff has variable syms x a p = a*x; q = mod(p, 3); q = children(q); q = q(2); % order might be fragile! w = subs(q, a, 5); assert (isequal (w, 2)) ***** test % different modulo syms x y q = mod([5*x + 10 5*y + 10], [2 3]); assert (isequal (q, [x 2*y + 1])) 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/mldivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/mldivide.m ***** test % scalar syms x assert (isa( x\x, 'sym')) assert (isequal( x\x, sym(1))) assert (isa( 2\x, 'sym')) assert (isa( x\2, 'sym')) ***** test % scalar \ matrix: easy, no system D = 2*[0 1; 2 3]; A = sym(D); assert (isequal ( 2 \ A , D/2 )) assert (isequal ( sym(2) \ A , D/2 )) ***** test % singular matrix A = sym([1 2; 2 4]); b = sym([5; 10]); x = A \ b; syms c1 y = [-2*c1 + 5; c1]; assert (isequal (x, y)) ***** test % singular matrix, mult RHS A = sym([1 2; 2 4]); B = sym([[5; 10] [0; 2] [0; 0]]); x = A \ B; syms c1 c5 y = [-2*c1 + 5 nan -2*c5; c1 nan c5]; assert (isequaln (x, y)) ***** warning % vpa, nearly singular matrix A = sym([1 2; 2 4]); A(1,1) = vpa('1.001'); b = sym([1; 2]); x = A \ b; y = [sym(0); vpa('0.5')]; assert (isequal (x, y)) ***** warning % vpa, singular rhs A = sym([1 2; 2 4]); b = [vpa('1.01'); vpa('2')]; x = A \ b; assert (all(isnan(x))) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/minus.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/minus.m ***** test % scalar syms x assert (isa (x-1, 'sym')) assert (isa (x-x, 'sym')) assert (isequal (x-x, sym(0))) ***** test % matrices D = [0 1; 2 3]; A = sym(D); DZ = D - D; assert (isequal ( A - D , DZ )) assert (isequal ( A - A , DZ )) assert (isequal ( D - A , DZ )) assert (isequal ( A - 2 , D - 2 )) assert (isequal ( 4 - A , 4 - D )) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/min.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/min.m ***** test % scalars with dim a = min(sym(pi), [], 1); b = sym(pi); assert (isequal (a, b)); a = min(sym(pi), [], 2); assert (isequal (a, b)); a = max(sym(pi), [], 1); assert (isequal (a, b)); a = max(sym(pi), [], 2); assert (isequal (a, b)); ***** shared A, D D = [0 1 2 3]; A = sym(D); ***** test % row vectors assert (isequal (min(A), sym(min(D)))) assert (isequal (min(A), sym(0))) assert (isequal (max(A), sym(max(D)))) assert (isequal (max(A), sym(3))) ***** test % row vectors with dim assert (isequal (min(A, [], 1), sym(min(D, [], 1)))) assert (isequal (min(A, [], 2), sym(min(D, [], 2)))) assert (isequal (max(A, [], 1), sym(max(D, [], 1)))) assert (isequal (max(A, [], 2), sym(max(D, [], 2)))) ***** test % column vectors A = A.'; D = D.'; assert (isequal (min(A), sym(min(D)))) assert (isequal (min(A), sym(0))) assert (isequal (max(A), sym(max(D)))) assert (isequal (max(A), sym(3))) ***** test % row vectors with dim assert (isequal (min(A, [], 1), sym(min(D, [], 1)))) assert (isequal (min(A, [], 2), sym(min(D, [], 2)))) assert (isequal (max(A, [], 1), sym(max(D, [], 1)))) assert (isequal (max(A, [], 2), sym(max(D, [], 2)))) ***** shared ***** test % empty a = min(sym([])); assert(isempty(a)) a = max(sym([])); assert(isempty(a)) ***** test % matrix A = [1 4 6; 2 2 5]; A = sym(A); assert (isequal (min(A), sym([1 2 5]))) assert (isequal (min(A, [], 1), sym([1 2 5]))) assert (isequal (min(A, [], 2), sym([1; 2]))) assert (isequal (max(A), sym([2 4 6]))) assert (isequal (max(A, [], 1), sym([2 4 6]))) assert (isequal (max(A, [], 2), sym([6; 5]))) ***** test % index output is double not sym [m, I] = min(sym(2), [], 1); assert (strcmp(class(I), 'double')) [m, I] = max(sym(2), [], 1); assert (strcmp(class(I), 'double')) ***** test % empty rows/columns, I is double A = sym(zeros(0, 4)); [m, I] = min(A, [], 1); assert (strcmp(class(I), 'double')) [m, I] = max(A, [], 1); assert (strcmp(class(I), 'double')) A = sym(zeros(3, 0)); [m, I] = min(A, [], 2); assert (strcmp(class(I), 'double')) [m, I] = max(A, [], 2); assert (strcmp(class(I), 'double')) ***** test % index output A = [0 1 9; 10 7 4]; B = sym(A); [m1, I1] = min(A); [m2, I2] = min(B); assert (isequal (I1, I2)) assert (isequal (m1, double(m2))) [m1, I1] = max(A); [m2, I2] = max(B); assert (isequal (I1, I2)) assert (isequal (m1, double(m2))) ***** test % index output, with dim A = [0 1 9; 10 7 4]; B = sym(A); [m1, I1] = min(A, [], 1); [m2, I2] = min(B, [], 1); assert (isequal (I1, I2)) assert (isequal (m1, double(m2))) [m1, I1] = min(A, [], 2); [m2, I2] = min(B, [], 2); assert (isequal (I1, I2)) assert (isequal (m1, double(m2))) [m1, I1] = max(A, [], 1); [m2, I2] = max(B, [], 1); assert (isequal (I1, I2)) assert (isequal (m1, double(m2))) [m1, I1] = max(A, [], 2); [m2, I2] = max(B, [], 2); assert (isequal (I1, I2)) assert (isequal (m1, double(m2))) ***** test % empty columns A = sym(zeros(0, 4)); [m, I] = min(A, [], 1); assert (isequal (size(m), [0 4])) assert (isequal (size(I), [0 4])) [m, I] = max(A, [], 1); assert (isequal (size(m), [0 4])) assert (isequal (size(I), [0 4])) ***** test % empty rows A = sym(zeros(3, 0)); [m, I] = min(A, [], 2); assert (isequal (size(m), [3 0])) assert (isequal (size(I), [3 0])) [m, I] = max(A, [], 2); assert (isequal (size(m), [3 0])) assert (isequal (size(I), [3 0])) ***** test % another empty case % we differ slightly from double which gives 1x0/0x1 A = sym(zeros(3, 0)); [m, I] = min(A, [], 1); assert (isempty (m)) assert (isempty (I)) A = sym(zeros(0, 3)); [m, I] = min(A, [], 2); assert (isempty (m)) assert (isempty (I)) ***** test % binary op form, one a scalar A = sym([3 1 9]); m = min(A, sym(2)); M = max(A, sym(2)); assert (isequal (m, sym([2 1 2]))) assert (isequal (M, sym([3 2 9]))) m = min(sym(2), A); M = max(sym(2), A); assert (isequal (m, sym([2 1 2]))) assert (isequal (M, sym([3 2 9]))) ***** test % binary op form, both scalar m = min(sym(1), sym(2)); M = max(sym(2), sym(2)); assert (isequal (m, sym(1))) assert (isequal (M, sym(2))) 16 tests, 16 passed, 0 known failure, 0 skipped [inst/@sym/max.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/max.m ***** test % simple assert (isequal (max([sym(10) sym(11)]), sym(11))) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/matlabFunction.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/matlabFunction.m ***** test % autodetect inputs syms x y s = warning('off', 'OctSymPy:function_handle:nocodegen'); h = matlabFunction(2*x*y, x+y); warning(s) [t1, t2] = h(3,5); assert(t1 == 30 && t2 == 8) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/lu.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/lu.m ***** test % scalar [l, u, p] = lu(sym(6)); assert (isequal (l, sym(1))) assert (isequal (u, sym(6))) assert (isequal (p, sym(1))) syms x [l, u, p] = lu(x); assert (isequal (l*u, p*x)) [l, u] = lu(x); assert (isequal (l*u, x)) ***** test % perm A = sym(fliplr(2*eye(3))); [L, U, P] = lu(A); assert (isequal (L*U, P*A)) [L, U, P] = lu(A, 'matrix'); assert (isequal (L*U, P*A)) [L, U, p] = lu(A, 'vector'); assert (isequal (L*U, A(p,:))) [L, U] = lu(A); assert (isequal (L*U, A)) ***** test % p is col vectpr A = sym([0 2; 3 4]); [L, U, p] = lu(A, 'vector'); assert(iscolumn(p)) ***** test % simple matrix A = [1 2; 3 4]; B = sym(A); [L, U, P] = lu(B); assert (isequal (L*U, P*A)) assert (isequal (U(2,1), sym(0))) % needs pivot A = [0 2; 3 4]; B = sym(A); [L, U, P] = lu(B); [Ld, Ud, Pd] = lu(A); assert (isequal (L*U, P*A)) assert (isequal (U(2,1), sym(0))) % matches regular LU assert ( max(max(double(L)-Ld)) <= 10*eps) assert ( max(max(double(U)-Ud)) <= 10*eps) assert ( isequal (P, Pd)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/lt.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/lt.m ***** test % simple x = sym(1); y = sym(1); e = x < y; assert (~logical (e)) x = sym(1); y = sym(2); e = x < y; assert (logical (e)) ***** test % mix sym and double x = sym(1); y = 1; e = x < y; assert (~logical (e)) x = sym(1); y = 2; e = x < y; assert (logical (e)) x = 1; y = sym(1); e = x < y; assert (~logical (e)) x = 1; y = sym(2); e = x < y; assert (logical (e)) ***** test % Type of the output is sym or logical? % FIXME: in current version, they are sym x = sym(1); y = sym(1); e1 = x < y; x = sym(1); y = sym(2); e2 = x < y; %assert (islogical (e1)) %assert (islogical (e2)) assert (isa (e1, 'sym')) assert (isa (e2, 'sym')) ***** test % ineq w/ symbols syms x y e = x < y; assert (~islogical (e)) assert (isa (e, 'sym')) ***** test % array -- array syms x a = sym([1 3 3 2*x]); b = sym([2 x 3 10]); e = a < b; assert (isa (e, 'sym')) assert (logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), 3 < x)) assert (~logical (e(3))) assert (isa (e(4), 'sym')) assert (isequal (e(4), 2*x < 10)) ***** test % array -- scalar syms x oo a = sym([1 x oo]); b = sym(3); e = a < b; assert (isa (e, 'sym')) assert (logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), x < 3)) assert (~logical (e(3))) ***** test % scalar -- array syms x oo a = sym(1); b = sym([2 x -oo]); e = a < b; assert (isa (e, 'sym')) assert (logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), 1 < x)) assert (~logical (e(3))) ***** test % ineq w/ nan syms x snan = sym(nan); e = x < snan; assert (~logical (e)) e = snan < x; assert (~logical (e)) b = [sym(0) x]; e = b < snan; assert (isequal (e, [false false])) ***** test % oo syms oo x e = oo < x; assert (isa (e, 'sym')) assert (strcmp (strtrim (disp (e, 'flat')), 'oo < x')) ***** test % sympy true matrix a = sym([1 3 3]); b = sym([2 4 1]); e = a < b; %assert (~isa (e, 'sym')) %assert (islogical (e)) assert (isequal (e, [true true false])) ***** test % oo, finite real variables syms oo syms z real assumeAlso(z, 'finite') e = -oo < z; assert (isequal (e, sym(true))) e = z < oo; assert (isequal (e, sym(true))) ***** test % -oo, positive var (known failure w/ sympy 0.7.6.x) syms oo syms z positive e = -oo < z; assert (logical (e)) assert (isequal (e, sym(true))) ***** test % positive syms z positive e = -1 < z; assert (isequal (e, sym(true))) ***** test syms oo z = sym('z', 'negative'); e = z < oo; assert (isequal (e, sym(true))) 14 tests, 14 passed, 0 known failure, 0 skipped [inst/@sym/logspace.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/logspace.m ***** test % default argument for N A = logspace(0, 2); assert (length (A) == 50); ***** test % special case: pi as end pt A = logspace(-sym(3), sym(pi), 3); assert (isequal (A(end), sym(pi))) ***** test A = logspace(-sym(4), 0, 3); B = [sym(1)/10000 sym(1)/100 sym(1)]; assert (isequal (A, B)) ***** test % vpa support, might need recent sympy for sympy issue #10063 n = 32; A = logspace(-vpa(1,n), 0, 3); B = [10^(-vpa(1,n)) 10^(-vpa(sym(1)/2,n)) vpa(1,n)]; assert (isequal (A, B)) assert (max(abs(double(A) - logspace(-1, 0, 3))) < 1e-15) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/logint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/logint.m ***** error logint (sym(1), 2) ***** xtest assert (isequaln (logint (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (logint (sym (nan)), sym (nan))) failed ***** shared x, d d = 2; x = sym('2'); ***** test f1 = logint(x); f2 = 1.045163780117492784845; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = logint(A); f2 = 1.045163780117492784845; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = logint (d); f = logint (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/logical.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/logical.m ***** test % basics, many others in isAlways.m assert (logical(true)) assert (~(logical(false))) ***** test % numbers to logic? assert (logical(sym(1))) assert (logical(sym(-1))) assert (~logical(sym(0))) ***** test % eqns, "structurally equivalent" syms x e = logical(x == x); assert ( islogical (e)) assert (e) e = logical(x == 1); assert ( islogical (e)) assert (~e) ***** test % eqn could have solutions but are false in general syms x e = logical(x^2 == x); assert ( islogical (e)) assert (~e) e = logical(2*x == x); assert ( islogical (e)) assert (~e) ***** test % FIXME: (not sure yet) T/F matrices should stay sym until logical() a = sym(1); e = a == a; assert (isa (e, 'sym')) assert (islogical (logical (e))) e = [a == a a == 0 a == a]; assert (isa (e, 'sym')) assert (islogical (logical (e))) ***** test % sym vectors of T/F to logical a = sym(1); e = [a == a a == 0 a == a]; w = logical(e); assert (islogical (w)) assert (isequal (w, [true false true])) e = e'; w = logical(e); assert (islogical (w)) assert (isequal (w, [true; false; true])) ***** test % sym matrix of T/F to logical a = sym([1 2 3; 4 5 6]); b = sym([1 2 0; 4 0 6]); e = a == b; w = logical(e); assert (islogical (w)) assert (isequal (w, [true true false; true false true])) ***** error syms x logical(x); ***** error logical(sym(nan)) ***** test % but oo and zoo are non-zero so we call those true % (SMT errors on these) FIXME syms oo zoo assert (logical (oo)) % assert (logical (zoo)) ***** xtest % FIXME: bug in Octave: if should automatically use logical % (want "if (obj)" same as "if (logical(obj))") e = sym(true); if (e) assert(true); else assert(false); end 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/log2.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/log2.m ***** assert (isequal (log2 (sym (1024)), sym (10))) ***** assert (isequal (log2 (sym ([2 16; 32 1])), sym ([1 4; 5 0]))) ***** test % round-trip syms x f = log2 (x); h = function_handle (f); A = h (1.1); B = log2 (1.1); assert (A, B, -5*eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/log10.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/log10.m ***** assert (isequal (log10 (sym (1000)), sym (3))) ***** assert (isequal (log10 (sym ([10 100])), sym ([1 2]))) ***** test % round-trip syms x f = log10 (x); h = function_handle (f); A = h (1.1); B = log10 (1.1); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/log.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/log.m ***** error log (sym(1), 2) ***** assert (isequaln (log (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = log(x); f2 = log(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = log(A); f2 = log(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = log (d); f = log (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/limit.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/limit.m ***** error limit (sym(1), 2, 3, 4, 5) ***** shared x, oo syms x oo = sym(inf); ***** assert (isa (limit(x, x, pi), 'sym')) ***** assert (isequal (limit(x, x, pi), sym(pi))) ***** assert (isequal (limit(sin(x)/x, x, 0), 1)) ***** test % left/right-hand limit assert (isequal (limit(1/x, x, 0, 'right'), oo)) assert (isequal (limit(1/x, x, 0), oo)) assert (isequal (limit(1/x, x, 0, 'left'), -oo)) assert (isequal (limit(1/x, x, oo), 0)) assert (isequal (limit(sign(x), x, 0, 'left'), -1)) assert (isequal (limit(sign(x), x, 0, 'right'), 1)) assert (isequal (limit(sign(x), x, 0, '-'), -1)) assert (isequal (limit(sign(x), x, 0, '+'), 1)) ***** test % matrix syms y A = [x 1/x x*y]; B = sym([3 sym(1)/3 3*y]); assert (isequal (limit(A, x, 3), B)) ***** test % omitting arguments syms a assert (isequal (limit(a), 0)) assert (isequal (limit(a*x+a+2), a+2)) assert (isequal (limit(a*x+a+2, 6), 7*a+2)) ***** test % constants assert (isequal (limit(sym(6)), 6)) assert (isequal (limit(sym(6), 7), 6)) assert (isequal (limit([sym(6) sym(2)], 7), [6 2])) ***** test % double constant, with sym limit a = limit (6, sym(0)); assert (isa (a, 'sym')) assert (isequal (a, sym(6))) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/lhs.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/lhs.m ***** test syms x y f = x + 1 == 2*y; assert (isequal (lhs(f), x + 1)) assert (isequal (rhs(f), 2*y)) ***** test syms x y f = x + 1 < 2*y; assert (isequal (lhs(f), x + 1)) assert (isequal (rhs(f), 2*y)) ***** test syms x y f = x + 1 >= 2*y; assert (isequal (lhs(f), x + 1)) assert (isequal (rhs(f), 2*y)) ***** test syms x y A = [x == y 2*x < 2*y; 3*x > 3*y 4*x <= 4*y; 5*x >= 5*y x < 0]; L = [x 2*x; 3*x 4*x; 5*x x]; R = [y 2*y; 3*y 4*y; 5*y 0]; assert (isequal( lhs(A), L)) assert (isequal( rhs(A), R)) ***** error syms x lhs(x) ***** error lhs(sym(true)) ***** error syms x A = [1 + x == 2*x sym(6)]; lhs(A) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/lgamma.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/lgamma.m ***** test % tested by gammaln assert (isequal (lgamma (sym ('x')), gammaln (sym ('x')))) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/length.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/length.m ***** test a = sym([1 2 3]); assert(length(a) == 3); ***** test % 2D array a = sym([1 2 3; 4 5 6]); assert(length(a) == 3); ***** test % empty a = sym([]); assert(length(a) == 0); 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/le.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/le.m ***** test % simple x = sym(1); y = sym(1); e = x <= y; assert (logical (e)) x = sym(1); y = sym(2); e = x <= y; assert (logical (e)) ***** test % array -- array syms x a = sym([1 3 3 2*x]); b = sym([2 x 3 10]); e = a <= b; assert (isa (e, 'sym')) assert (logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), 3 <= x)) assert (logical (e(3))) assert (isa (e(4), 'sym')) assert (isequal (e(4), 2*x <= 10)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/ldivide.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ldivide.m ***** test % scalar syms x assert (isa (x .\ 1, 'sym')) assert (isa (x .\ x, 'sym')) assert (isequal (x .\ 1, 1/x)) assert (isequal (x .\ x, sym(1))) ***** test % matrix-scalar D = [1 1; 2 3]; A = sym(D); assert (isequal ( A .\ 6 , D .\ 6 )) assert (isequal ( A .\ sym(6) , D .\ 6 )) assert (isequal ( D .\ sym(6) , D .\ 6 )) ***** test % matrix-matrix D = [1 2; 3 4]; A = sym(D); assert (isequal ( A .\ A , D .\ D )) assert (isequal ( A .\ D , D .\ D )) assert (isequal ( D .\ A , D .\ D )) ***** test % matrix .\ matrix with symbols syms x y A = [x y; x^2 2*y]; B = [y x; x y]; assert (isequal ( A .\ A , sym(ones(2, 2)) )) assert (isequal ( B .\ A , [x/y y/x; x 2] )) ***** test % scalar .\ matrix D = 3*[1 2; 3 4]; A = sym(D); assert (isequal ( 3 .\ A , 3 .\ D )) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/latex.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/latex.m ***** test syms x y = sin(x); assert ( strcmp( latex(y), '\sin{\left (x \right )}')) assert ( strcmp( latex(exp(x)), 'e^{x}')) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/laplacian.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/laplacian.m ***** shared x,y,z syms x y z ***** test % 1D f = x^2; g = diff(f,x,x); assert (isequal (laplacian(f), g)) assert (isequal (laplacian(f,{x}), g)) assert (isequal (laplacian(f,[x]), g)) assert (isequal (laplacian(f,x), g)) ***** test % const f = sym(1); g = sym(0); assert (isequal (laplacian(f), g)) assert (isequal (laplacian(f,x), g)) f = sym('c'); assert (isequal (laplacian(f,x), g)) ***** test % double const f = 1; g = sym(0); assert (isequal (laplacian(f,x), g)) ***** test % 1D fcn in 2d/3d f = sin(2*y); g = -4*f; assert (isequal (laplacian(f), g)) assert (isequal (laplacian(f, {x,y}), g)) assert (isequal (laplacian(f, {x,y,z}), g)) ***** test % 2d fcn in 2d/3d f = sin(exp(x)*y); g = diff(f,x,x) + diff(f,y,y); assert (isequal (laplacian(f), g)) assert (isequal (laplacian(f, {x,y}), g)) ***** test % 2d fcn in 2d/3d f = sin(exp(x)*y+sinh(z)); gr2 = gradient(f, {x,y}); divgr2 = divergence(gr2, {x,y}); l2 = laplacian(f,{x,y}); gr3 = gradient(f, {x,y,z}); divgr3 = divergence(gr3, {x,y,z}); l3 = laplacian(f,{x,y,z}); assert (isAlways (l2 == divgr2)) assert (isAlways (l3 == divgr3)) ***** error laplacian(sym('x'), sym('x'), 42) ***** error laplacian([sym('x'), sym('x')]) 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/laplace.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/laplace.m ***** test % basic syms t s u w assert(logical( laplace(cos(3*t)) == s/(s^2+9) )) assert(logical( laplace(t^3) == 6/s^4 )) ***** test % matlab SMT compat syms t s u w z assert(logical( laplace(exp(2*t)) == 1/(s-2) )) assert(logical( laplace(exp(2*s)) == 1/(z-2) )) assert(logical( laplace(exp(2*u),w) == 1/(w-2) )) assert(logical( laplace(exp(2*u),u,w) == 1/(w-2) )) ***** test syms x s t z % matlab SMT prefers t over x (WTF not symvar like we do?) assert (isequal (laplace(x*exp(t), z), exp(t)/z^2)) % as usual, you can just specify: assert (isequal (laplace(x*exp(t), t, z), x/(z - 1))) % SMT result assert (isequal (laplace(x*exp(t), x, z), exp(t)/z^2)) ***** test % constant, issue #250 syms s f = laplace(2, s); assert (isequal (f, 2/s)) ***** test % Dirac delta and Heaviside tests syms t s assert (isequal (laplace(dirac(t-3)), exp(-3*s))) assert (isequal (laplace((t-3)*heaviside(t-3)), exp(-3*s)/s^2)) ***** xtest % Differential operator to algebraic % SymPy cannot evaluate? (Issue #170) syms s f(t) assert(logical( laplace(diff(f(t),t),t,s) == s*laplace(f(t),t,s)-f(0) )) !!!!! known failure assert (logical (laplace (diff (f (t), t), t, s) == s * laplace (f (t), t, s) - f (0))) failed 6 tests, 5 passed, 1 known failure, 0 skipped [inst/@sym/lambertw.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/lambertw.m ***** test % W(x)*exp(W(x)) == x syms x T = lambertw(x)*exp(lambertw(x)); T = double (subs (T, x, 10)); assert (isequal (T, 10)); ***** test % k, x not x, k to match SMT syms x T = lambertw(2, x)*exp(lambertw(2, x)); T = double (subs (T, x, 10)); assert (abs(T - 10) < 1e-15) ***** assert (isequal (lambertw(sym(0)), sym(0))) ***** assert ( isequal (lambertw (-1/exp(sym(1))), -sym(1))) ***** assert ( isequal (lambertw (0, -1/exp(sym(1))), -sym(1))) ***** assert ( isequal (lambertw (-1, -1/exp(sym(1))), -sym(1))) ***** xtest % W(x)*exp(W(x)) == x; FIXME: a failure in SymPy? syms x T = simplify(lambertw(x)*exp(lambertw(x))); assert (isequal (T, x)) !!!!! known failure assert (isequal (T, x)) failed ***** assert (abs (lambertw(pi) - double(lambertw(sym(pi)))) < 5*eps) ***** assert (abs (lambertw(-1, 5) - double(lambertw(-1, sym(5)))) < 5*eps) ***** assert (abs (lambertw(2, 2) - double(lambertw(2, sym(2)))) < 5*eps) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x k A = lambertw (5); f = lambertw (x); h = function_handle (f); B = h (5); assert (A, B) A = lambertw (3, 5); f = lambertw (k, x); h = function_handle (f); B = h (3, 5); assert (A, B) end 11 tests, 10 passed, 1 known failure, 0 skipped [inst/@sym/laguerreL.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/laguerreL.m ***** shared x syms x ***** assert (isequal (laguerreL(0, x), sym(1))) ***** assert (isequal (laguerreL(1, x), 1-x)) ***** assert (isequal (laguerreL(2, x), x^2/2 - 2*x + 1)) ***** error laguerreL(-1, x) ***** error laguerreL(x) ***** error laguerreL(1, 2, x, 3) ***** shared ***** test syms x n L = laguerreL([2 n], x); expected = [laguerreL(2, x) laguerreL(n, x)]; assert (isequal (L, expected)) ***** test syms x y L = laguerreL([1; 2], [x; y]); expected = [laguerreL(1, x); laguerreL(2, y)]; assert (isequal (L, expected)) ***** test syms x n assert (isequal (laguerreL(n, 0, x), laguerreL(n, x))) ***** shared x, y, n syms x y n ***** assert (isequal (laguerreL([1 n], 0, x), laguerreL([1 n], x))) ***** test L = laguerreL([1; n], [pi; 0], [x; y]); expected = [laguerreL(1, pi, x); laguerreL(n, 0, y)]; assert (isequal (L, expected)) ***** test L = laguerreL([1 n], [pi 0], x); expected = [laguerreL(1, pi, x) laguerreL(n, 0, x)]; assert (isequal (L, expected)) ***** test L = laguerreL([1 n], pi, [x y]); expected = [laguerreL(1, pi, x) laguerreL(n, pi, y)]; assert (isequal (L, expected)) ***** test L = laguerreL(1, [pi 0], [x y]); expected = [laguerreL(1, pi, x) laguerreL(1, 0, y)]; assert (isequal (L, expected)) ***** test L = laguerreL([1 n], pi, x); expected = [laguerreL(1, pi, x) laguerreL(n, pi, x)]; assert (isequal (L, expected)) ***** test L = laguerreL(1, [pi 0], x); expected = [laguerreL(1, pi, x) laguerreL(1, 0, x)]; assert (isequal (L, expected)) ***** test L = laguerreL(1, pi, [x y]); expected = [laguerreL(1, pi, x) laguerreL(1, pi, y)]; assert (isequal (L, expected)) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) f = laguerreL (n, x); h = function_handle (f); A = h (1, 3.2); B = laguerreL (1, 3.2); assert (A, B) A = h ([1 2], [3.3 4.4]); B = laguerreL ([1 2], [3.3 4.4]); assert (A, B) end ***** error % round trip f = laguerreL (n, y, x); h = function_handle (f); 19 tests, 19 passed, 0 known failure, 0 skipped [inst/@sym/kroneckerDelta.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/kroneckerDelta.m ***** error kroneckerDelta (sym(1), 2, 3) ***** test syms x assert (isequal (kroneckerDelta (x, x), sym(1))) ***** assert (isequal (kroneckerDelta ([sym(1) 2 3], [1 2 0]), sym([1 1 0]))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.2")')) syms x y f = kroneckerDelta (x, y); h = function_handle (f); assert (h (1, 2), 0) assert (h (2, 2), 1) end 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/kron.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/kron.m ***** test syms x y A = [sin(x), sin(y); x, y]; B = ones(2); expected = sym([sin(x), sin(x), sin(y), sin(y); sin(x), sin(x), sin(y), sin(y); x, x, y, y; x, x, y, y]); assert (isequal (kron(A, B), expected)) ***** test syms x y A = [sin(x), sin(y); x, y]; B = 2; assert (isequal (kron(A, B), 2*A)) ***** test syms x y A = [sin(x), sin(y)]; B = 2; assert (isequal( kron(B, A), 2*A)) ***** test syms x y; X = [tan(x), tan(x)]; Y = [cot(x); cot(x)]; expected = sym(ones(2)); assert (isequal (simplify(kron(X, Y)), expected)) ***** test syms x y z X = [x, y, z]; Y = [y, y; x, x]; expected = [x*y, x*y, y^2, y^2, y*z, y*z; x^2, x^2, x*y, x*y, x*z, x*z]; assert (isequal (kron(X, Y), expected)) ***** test syms x y X = [x, x^2; y, y^2]; Y = [1, 0; 0, 1]; expected = [x, x^2, 0, 0; y, y^2, 0, 0; 0, 0, x, x^2; 0, 0, y, y^2]; assert (isequal (kron(Y, X), expected)) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/jordan.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/jordan.m ***** test % basic A = sym ([2 1 0 0; 0 2 1 0; 0 0 3 0; 0 1 -1 3]); [V, J] = jordan (A); assert (isequal (inv (V) * A * V, J)); assert (isequal (J, sym ([2 1 0 0; 0 2 0 0; 0 0 3 0; 0 0 0 3]))) % the first 2 generalized eigenvectors form a cycle assert (isequal ((A - J(1, 1) * eye (4)) * V(:, 1), zeros (4, 1))); assert (isequal ((A - J(2, 2) * eye (4)) * V(:, 2), V(:, 1))); % the last 2 generalized eigenvectors are eigenvectors assert (isequal ((A - J(3, 3) * eye (4)) * V(:, 3), zeros (4, 1))); assert (isequal ((A - J(4, 4) * eye (4)) * V(:, 4), zeros (4, 1))); ***** test % scalars assert (isequal (jordan (sym (-10)), sym (-10))); assert (isequal (jordan (sym ('x')), sym ('x'))); ***** test % diagonal matrices A = diag (sym ([6 6 7])); [V1, D] = eig (A); [V2, J] = jordan (A); assert (isequal (V1, V2)); assert (isequal (D, J)); ***** test % matrices of unknown entries A = [sym('a') sym('b'); sym('c') sym('d')]; [V, D] = eig (A); J = jordan (A); assert (isequal (simplify (D), simplify (J))); ***** test % matrices of mixed entries A = [sym('x')+9 sym('y'); sym(0) 6]; [V, D] = eig (A); J = jordan (A); assert (isequal (simplify (D), simplify (J))); 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/jacobian.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/jacobian.m ***** shared x,y,z syms x y z ***** test % 1D f = x^2; assert (isequal (jacobian(f), diff(f,x))) assert (isequal (jacobian(f,{x}), diff(f,x))) assert (isequal (jacobian(f,x), diff(f,x))) ***** test % const f = sym(1); g = sym(0); assert (isequal (jacobian(f), g)) assert (isequal (jacobian(f,x), g)) ***** test % double const f = 1; g = sym(0); assert (isequal (jacobian(f,x), g)) ***** test % diag f = [x y^2]; g = [sym(1) 0; 0 2*y]; assert (isequal (jacobian(f), g)) assert (isequal (jacobian(f, [x y]), g)) assert (isequal (jacobian(f, {x y}), g)) ***** test % anti-diag f = [y^2 x]; g = [0 2*y; sym(1) 0]; assert (isequal (jacobian(f), g)) assert (isequal (jacobian(f, {x y}), g)) ***** test % shape f = [x y^2]; assert (isequal (size(jacobian(f, {x y z})), [2 3])) assert (isequal (size(jacobian(f, [x y z])), [2 3])) assert (isequal (size(jacobian(f, [x; y; z])), [2 3])) assert (isequal (size(jacobian(f.', {x y z})), [2 3])) ***** test % scalar f f = x*y; assert (isequal (size(jacobian(f, {x y})), [1 2])) g = gradient(f, {x y}); assert (isequal (jacobian(f, {x y}), g.')) ***** test % vect f wrt 1 var f = [x x^2]; assert (isequal (size(jacobian(f, x)), [2 1])) f = f.'; % same shape output assert (isequal (size(jacobian(f, x)), [2 1])) ***** error jacobian([sym(1) 2; sym(3) 4]) ***** error jacobian(sym(1), 2, 3) 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@sym/isvector.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isvector.m ***** assert(isvector(sym('x'))) ***** assert(isvector(sym([1 2 3]))) ***** assert(isvector(sym([1; 2]))) ***** assert(~isvector(sym([1 2; 3 4]))) ***** assert(~isvector(sym([]))) ***** assert(isvector(sym(ones(1,0)))) ***** assert(~isvector(sym(ones(0,3)))) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/isscalar.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isscalar.m ***** assert(isscalar(sym('x'))) ***** test a = sym([1 2 3]); assert(~isscalar(a)) ***** assert(~isscalar(sym([]))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/isrow.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isrow.m ***** assert (isrow (sym ([1]))) ***** assert (isrow (sym ([1 2 3]))) ***** assert (~isrow (sym ([]))) ***** assert (~isrow (sym ([1 2 3]'))) ***** assert (~isrow (sym ([1 2; 3 4]))) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/isprime.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isprime.m ***** assert (isprime (sym(5))) ***** assert (~isprime (sym(4))) ***** assert (~isprime (sym(0))) ***** assert (~isprime (sym(1))) ***** test a = [5 7 6; 1 2 337]; assert (isequal (isprime (a), [true true false; false true true])) ***** assert (~isprime(sym(-4))) ***** assert (~isprime(sym(4i))) ***** assert (~isprime(sym(3)/5)) ***** error isprime(sym('x')); 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/isnan.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isnan.m ***** shared x,zoo,oo,snan oo = sym(inf); zoo = sym('zoo'); x = sym('x'); snan = sym(nan); ***** test % various ops that give nan assert (isnan(0*oo)) assert (isnan(0*zoo)) assert (isnan(snan)) assert (isnan(snan-snan)) assert (isnan(oo+snan)) assert (isnan(oo-oo)) assert (isnan(oo-zoo)) assert (isnan(oo+zoo)) assert (~isnan(oo)) assert (~isnan(zoo)) assert (~isnan(oo+oo)) ***** test % more ops give nan assert(isnan(x+snan)) assert(isnan(x*snan)) assert(isnan(0*snan)) assert(isnan(x+nan)) assert(isnan(x*nan)) assert(isnan(sym(0)*nan)) ***** test % array assert (isequal( isnan([oo zoo]), [0 0] )) assert (isequal( isnan([10 snan]), [0 1] )) assert (isequal( isnan([snan snan]), [1 1] )) assert (isequal( isnan([snan x]), [1 0] )) ***** test % sub in to algebraic expression gives nan y = x - oo; y = subs(y, x, oo); assert(isnan(y)) ***** test % Must not contain string 'symbol'; these all should make an % actual nan. Actually a ctor test, not isnan. y = sym(nan); assert (isempty (strfind (sympy (y), 'Symbol'))) y = sym('nan'); assert (isempty (strfind (sympy (y), 'Symbol'))) y = sym('NaN'); assert (isempty( strfind (sympy (y), 'Symbol'))) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/isna.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isna.m ***** test % no sym should be NA syms x oo assert (~isna(sym(1))) assert (~isna(x)) assert (~isna(oo)) assert (~isna(sym(nan))) assert (isequal (isna (sym ([1 nan])), [false false])) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/ismember.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ismember.m ***** assert (ismember (2, interval(sym(0),2))) ***** assert (~ismember (3, interval(sym(0),2))) ***** test % something in a matrix syms x A = [1 x; sym(pi) 4]; assert (ismember (sym(pi), A)) assert (ismember (x, A)) assert (~ismember (2, A)) ***** test % set syms x S = finiteset(2, sym(pi), x); assert (ismember (x, S)) ***** test % set with positive symbol syms p positive S = finiteset(2, sym(pi), p); assert (~ismember (-1, S)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ismatrix.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ismatrix.m ***** assert(ismatrix(sym('x'))) ***** assert(ismatrix(sym([1 2 3]))) ***** assert(ismatrix(sym([1; 2]))) ***** assert(ismatrix(sym([1 2; 3 4]))) ***** assert(ismatrix(sym([]))) ***** assert(ismatrix(sym(ones(1,0)))) ***** assert(ismatrix(sym(ones(0,3)))) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/isinf.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isinf.m ***** shared x,zoo,oo,snan oo = sym(inf); zoo = sym('zoo'); x = sym('x'); snan = sym(nan); ***** test % various ops that give inf and nan assert (isinf(oo)) assert (isinf(zoo)) assert (isinf(oo+oo)) assert (~isinf(oo+zoo)) assert (~isinf(0*oo)) assert (~isinf(0*zoo)) assert (~isinf(snan)) assert (~isinf(oo-oo)) assert (~isinf(oo-zoo)) ***** test % arrays assert (isequal( isinf([oo zoo]), [1 1] )) assert (isequal( isinf([oo 1]), [1 0] )) assert (isequal( isinf([10 zoo]), [0 1] )) assert (isequal( isinf([x oo x]), [0 1 0] )) ***** test % Must not contain string 'symbol'; these all should make an % actual infinity. Actually a ctor test, not isinf. % IIRC, SMT in Matlab 2013b fails. oo = sym(inf); assert (isempty (strfind (sympy (oo), 'Symbol'))) oo = sym(-inf); assert (isempty (strfind (sympy (oo), 'Symbol'))) oo = sym('inf'); assert (isempty (strfind (sympy (oo), 'Symbol'))) oo = sym('-inf'); assert (isempty (strfind (sympy (oo), 'Symbol'))) oo = sym('Inf'); assert (isempty (strfind (sympy (oo), 'Symbol'))) ***** test % ops with infinity shouldn't collapse syms x oo zoo y = x + oo; assert (~isempty (strfind (lower (sympy (y)), 'add') )) y = x - oo; assert (~isempty (strfind (lower (sympy (y)), 'add') )) y = x - zoo; assert (~isempty (strfind (lower (sympy (y)), 'add') )) y = x*oo; assert (~isempty (strfind (lower (sympy (y)), 'mul') )) ***** test % ops with infinity are not necessarily infinite syms x oo zoo y = x + oo; assert(~isinf(y)) % SMT 2014a says "true", I disagree y = x - zoo; assert(~isinf(y)) y = x*oo; assert(~isinf(y)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/isfinite.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isfinite.m ***** assert (isfinite(sym(1))) ***** assert (isfinite(sym(-10))) ***** assert (~isfinite(sym('oo'))) ***** assert (~isfinite(sym('-oo'))) ***** assert (~isfinite(sym(1)/0)) ***** assert (~isfinite(sym(nan))) ***** assert (isequal (isfinite (sym ([1 inf])), [true false])) ***** test % finite-by-assumption syms x finite assert (isfinite (x)) 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/isequaln.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isequaln.m ***** test a = sym([1 2]); b = a; assert (isequaln (a, b)) b(1) = 42; assert (~isequaln (a, b)) ***** test a = sym([1 2; 3 4]); b = a; assert (isequaln (a, b)) b(1) = 42; assert (~isequaln (a, b)) ***** test a = sym([nan; 2]); b = a; assert (isequaln (a, b)) ***** test a = sym([nan 2; 3 4]); b = a; assert (isequaln (a, b)) ***** test % more than two arrays a = sym([nan 2 3]); b = a; c = a; assert (isequaln (a, b, c)) c(1) = 42; assert (~isequaln (a, b, c)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/isequal.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isequal.m ***** test a = sym([1 2]); b = a; assert (isequal (a, b)) b(1) = 42; assert (~isequal (a, b)) ***** test a = sym([1 2; 3 4]); b = a; assert (isequal (a, b)) b(1) = 42; assert (~isequal (a, b)) ***** test a = sym([nan; 2]); b = a; assert (~isequal (a, b)) ***** test % proper nan treatment a = sym([nan 2; 3 4]); b = a; assert (~isequal (a, b)) ***** test % more than two arrays a = sym([1 2 3]); b = a; c = a; assert (isequal (a, b, c)) c(1) = 42; assert (~isequal (a, b, c)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/isempty.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isempty.m ***** shared se, a se = sym ([]); a = sym ([1 2]); ***** assert (~isempty (sym (1))) ***** assert (isempty (sym (se))) ***** assert (isempty (se == [])) ***** test ***** test se(1) = 10; ***** test assert ( isa (se, 'sym')) ***** test assert ( isequal (se, 10)) ***** shared ***** test % empty matrices A = sym('A', [3 0]); assert (isempty (A)) A = sym(ones(3,0)); assert (isempty (A)) ***** test % non-empty symbolic-size matrices syms n integer A = sym('A', [3 n]); assert (~isempty (A)) ***** xtest % empty symbolic-size matrices % FIXME: will fail until size stop lying by saying 1x1 syms n integer A = sym('A', [0 n]); assert (isempty (A)) A = sym('A', [n 0]); assert (isempty (A)) !!!!! known failure assert (isempty (A)) failed 10 tests, 9 passed, 1 known failure, 0 skipped [inst/@sym/isconstant.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isconstant.m ***** test syms x A = [x 2 3]; B = [false true true]; assert (isequal (isconstant(A), B)) ***** test syms x A = [x 2; 3 x]; B = [false true; true false]; assert (isequal (isconstant(A), B)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/iscolumn.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/iscolumn.m ***** assert (iscolumn (sym ([1]))) ***** assert (iscolumn (sym ([1 2 3]'))) ***** assert (~iscolumn (sym ([]))) ***** assert (~iscolumn (sym ([1 2 3]))) ***** assert (~iscolumn (sym ([1 2; 3 4]))) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/isallconstant.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isallconstant.m ***** assert (isallconstant([sym(1) 2 3])) ***** test syms x assert (~isallconstant([sym(1) x 3])) ***** test syms x assert (~isallconstant([sym(1) x; sym(2) 3])) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/isNone.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isNone.m ***** test None = python_cmd ('return None'); ***** shared None None = python_cmd ('return None'); ***** assert (isNone(None)) ***** assert (~isNone(sym('x'))) ***** assert (islogical(isNone(None))) ***** test a = [1 None]; a = [None None]; a = [None; 1]; a = [None; None]; a = [None 2; 3 None]; ***** test a = sym([1 2]); a(1,2) = None; assert (isequal (a, [sym(1) None])); ***** assert (isequal (None(1), None)); ***** error None(None); ***** error x=sym('x'); x(None); ***** error x=1; x(None); ***** error None(None); ***** error 1 + None; ***** error None - 1; ***** error 6*None; ***** error 2**None; ***** error [1 2].*None; ***** error isconstant(None); ***** error nnz(None); ***** error logical(None); ***** error isAlways(None); ***** error logical([sym(true) None]); ***** error isAlways([sym(true) None]); ***** assert (isequal (children(None), None)) ***** assert (isequal (repmat(None, 1, 2), [None None])) ***** assert (isequal (fliplr(None), None)) ***** assert (isequal (flipud(None), None)) 26 tests, 26 passed, 0 known failure, 0 skipped [inst/@sym/isAlways.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/isAlways.m ***** test % basics assert(isAlways(true)) assert(isAlways(1==1)) assert(isAlways(sym(1)==sym(1))) assert(isAlways(sym(1)==1)) ***** test % numbers to logic? assert (isAlways(sym(1))) assert (isAlways(sym(-1))) assert (~isAlways(sym(0))) ***** shared x syms x ***** test % in this case it is boolean expr = x - x == 0; assert (logical(expr)) assert (isAlways(expr)) % and both are logical type assert (islogical(logical(expr))) assert (islogical(isAlways(expr))) ***** test % structurally same and mathematically true % (here expr should be sym, non-boolean) expr = x == x; assert (logical(expr)) assert (isAlways(expr)) %assert (~islogical(expr)) % FIXME: Issue #56 %assert (isa(expr, 'sym)) ***** test % structurally same and mathematically true % (here expr should be sym, non-boolean) expr = 1 + x == x + 1; assert (logical(expr)) assert (isAlways(expr)) ***** test % non-zero numbers are true assert (isAlways(sym(1))) assert (isAlways(sym(-10))) assert (~isAlways(sym(0))) ***** shared x, y syms x y ***** test % structurally same and mathematically true % (here expr should be sym, non-boolean) expr = x*(1+y) == x*(y+1); assert (logical(expr)) assert (isAlways(expr)) assert (islogical(isAlways(expr))) ***** test % Now for some differences % simplest example from SymPy FAQ expr = x*(1+y) == x+x*y; assert (~logical(expr)) assert (isAlways(expr)) ***** test % more differences 1, these don't simplify in sympy (as of 2016-01) expr = (x+1)^2 == x*x + 2*x + 1; assert (~logical(expr)) assert (isAlways(expr)) ***** test % more differences 2 expr = sin(2*x) == 2*sin(x)*cos(x); assert (~logical(expr)) assert (isAlways(expr)) ***** test % more differences 3, false expr = x*(x+y) == x^2 + x*y + 1; assert (~logical(expr)) assert (~isAlways(expr)) assert (~isAlways(expr, 'unknown', 'error')) ***** test % logically not equal, math equal exprn = x*(x+y) ~= x^2 + x*y; assert (logical(exprn)) assert (~isAlways(exprn)) ***** test % logically not equal, math not equal exprn = x*(x+y) ~= x^2 + x*y + 1; assert (logical(exprn)) assert (isAlways(exprn)) ***** test % equal and not equal e1 = sin(x)^2 + cos(x)^2 == 1; e2 = sin(x)^2 + cos(x)^2 == 2; assert (~logical(e1)) assert (isAlways(e1)) assert (~logical(e2)) assert (~isAlways(e2)) assert (~isAlways(e2, 'unknown', 'error')) ***** error isAlways(x, 'unknown', 'kevin') ***** error isAlways(x, 'unknown') ***** error isAlways(x, 'kevin', 'true') ***** error a = [x*(x+y)==x^2+x*y x==y]; b = isAlways(a, 'unknown', 'error'); ***** error a = x==y; b = isAlways(a, 'unknown', 'error'); ***** test % array, unknown keyword a = [x==x x==x+1 x==y x*(x+y)==x^2+x*y cos(x)^2+sin(x)^2==2]; b = isAlways(a, 'unknown', false); c = isAlways(a, 'unknown', 'false'); expect = [true false false true false]; assert (islogical(b)) assert (isequal (b, expect)) assert (isequal (c, expect)) b = isAlways(a, 'unknown', true); c = isAlways(a, 'unknown', 'true'); expect = [true false true true false]; assert (islogical(b)) assert (isequal (b, expect)) assert (isequal (c, expect)) ***** test % ineq e = x*(x+y) >= x^2 + x*y + 1; assert (~logical(e)) assert (isAlways(e)) e = x*(x+y) <= x^2 + x*y; assert (~logical(e)) assert (isAlways(e)) 21 tests, 21 passed, 0 known failure, 0 skipped [inst/@sym/ipermute.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ipermute.m ***** error permute (sym(1)) ***** test syms x A = [1 x]; perm = [2 1]; B = permute(A, perm); C = ipermute(B, perm); assert (isequal(C, A)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/invhilb.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/invhilb.m ***** test A = invhilb(sym(3)); B = sym([9 -36 30;-36 192 -180;30 -180 180]); assert( isequal( A, B)) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/inv.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/inv.m ***** test % scalar syms x assert (isequal (inv(x), 1/x)) ***** test % diagonal syms x A = [sym(1) 0; 0 x]; B = [sym(1) 0; 0 1/x]; assert (isequal (inv(A), B)) ***** test % 2x2 inverse A = [1 2; 3 4]; assert (max (max (abs (double (inv (sym (A))) - inv(A)))) <= 3*eps) ***** error syms a; A = [a a; a a]; inv(A) ***** error syms a; A = [a a]; inv(A) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/interval.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/interval.m ***** test a = interval(sym(1), 2); assert (isa (a, 'sym')) ***** test % some set subtraction a = interval(sym(0), 4); b = interval(sym(0), 1); c = interval(sym(1), 4, true); q = a - b; assert (isequal( q, c)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/intersect.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/intersect.m ***** test A = sym([1 2 3]); B = sym([1 2 4]); C = intersect(A, B); D = sym([1 2]); assert (isequal (C, D)) ***** test % one nonsym A = sym([1 2 3]); B = [1 2 4]; C = intersect(A, B); D = sym([1 2]); assert (isequal (C, D)) ***** test % empty A = sym([1 2 3]); C = intersect(A, A); assert (isequal (C, A)) ***** test % empty input A = sym([1 2]); C = intersect(A, []); assert (isequal (C, sym([]))) ***** test % scalar syms x assert (isequal (intersect([x 1], x), x)) assert (isequal (intersect(x, x), x)) ***** test A = interval(sym(1), 3); B = interval(sym(2), 5); C = intersect(A, B); assert( isequal( C, interval(sym(2), 3))) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/int.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/int.m ***** shared x,y,a syms x y a ***** assert(logical(int(cos(x)) - sin(x) == 0)) ***** assert(logical(int(cos(x),x) - sin(x) == 0)) ***** assert(logical(int(cos(x),x,0,1) - sin(sym(1)) == 0)) ***** test %% limits might be syms assert( isequal (int(cos(x),x,sym(0),sym(1)), sin(sym(1)))) assert( isequal (int(cos(x),x,0,a), sin(a))) ***** test %% other variables present assert( isequal (int(y*cos(x),x), y*sin(x))) ***** test %% limits as array assert( isequal (int(cos(x),x,[0 1]), sin(sym(1)))) assert( isequal (int(cos(x),x,sym([0 1])), sin(sym(1)))) assert( isequal (int(cos(x),x,[0 a]), sin(a))) ***** test %% no x given assert( isequal (int(cos(x),[0 1]), sin(sym(1)))) assert( isequal (int(cos(x),sym([0 1])), sin(sym(1)))) assert( isequal (int(cos(x),[0 a]), sin(a))) assert( isequal (int(cos(x),0,a), sin(a))) ***** test %% integration of const assert( isequal (int(sym(2),y), 2*y)) assert( isequal (int(sym(2)), 2*x)) assert( isequal (int(sym(2),[0 a]), 2*a)) assert( isequal (int(sym(2),0,a), 2*a)) ***** test % componentwise int of array A = [x x*x]; assert (isequal (int(A, x), [x^2/2 x^3/3])) ***** test % NonElementaryIntegral bug % https://savannah.gnu.org/bugs/index.php?46831 f = int(exp(exp(x))); f = f + 2; g = diff(f); assert (isequal (g, exp(exp(x)))) 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@sym/imag.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/imag.m ***** assert (isequal (imag (sym (4) + 3i),3)) ***** test syms x y real z = x + 1i*y; assert (isequal (imag (z),y)) ***** test syms x y real Z = [4 x + 1i*y; 1i*y 4 + 3i]; assert (isequal (imag (Z),[0 y; y 3])) ***** test syms x real d = exp (x*i); assert (isequal (imag (d), sin (x))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.1.1")')) syms x d = 3 - 5i; f = imag (x); A = imag (d); h = function_handle (f); B = h (d); assert (A, B) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ilaplace.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ilaplace.m ***** error ilaplace (sym(1), 2, 3, 4) ***** test % basic SMT compact: no heaviside syms s syms t positive assert (isequal (ilaplace(1/s^2), t)) assert (isequal (ilaplace(s/(s^2+9)), cos(3*t))) assert (isequal (ilaplace(6/s^4), t^3)) ***** test % more SMT compact syms r syms u positive assert (isequal (ilaplace(1/r^2, u), u)) assert (isequal (ilaplace(1/r^2, r, u), u)) ***** test % if t specified and not positive, we expect heaviside clear s t syms s t assert (isequal (ilaplace(1/s^2, s, t), t*heaviside(t))) assert (isequal (ilaplace(s/(s^2+9), t), cos(3*t)*heaviside(t))) assert (isequal (ilaplace(6/s^4, t), t^3*heaviside(t))) ***** test % Heaviside test syms s t=sym('t', 'positive'); assert(logical( ilaplace(exp(-5*s)/s^2,t) == (t-5)*heaviside(t-5) )) ***** test % Delta dirac test syms s t = sym('t'); assert (isequal (ilaplace (sym('2'), t), 2*dirac(t))) ***** test % Delta dirac test 2 syms s c t = sym('t', 'positive'); assert (isequal (ilaplace (5*exp(-3*s) + 2*exp(c*s) - 2*exp(-2*s)/s,t), ... 5*dirac(t-3) + 2*dirac(c+t) - 2*heaviside(t-2))) ***** error ilaplace (sym('s', 'positive')*sym('s')) ***** test % SMT compact, prefers s over symvar syms s x syms t positive assert (isequal (ilaplace(x/s^4), x*t^3/6)) t = sym('t'); assert (isequal (ilaplace(x/s^4, t), x*t^3/6*heaviside(t))) ***** test % pick s even it has assumptions syms s real syms x t assert (isequal (ilaplace (x/s^2, t), x*t*heaviside(t))) 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@sym/igamma.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/igamma.m ***** test % mostly tested in @sym/gammainc syms x assert (isequal (igamma (2, x), gammainc(x, 2, 'upper'))) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/ifourier.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ifourier.m ***** error ifourier (sym(1), 2, 3, 4) ***** test % matlab SMT compat syms t r u x w Pi=sym('pi'); assert(logical( ifourier(exp(-abs(w))) == 1/(Pi*(x^2 + 1)) )) assert(logical( ifourier(exp(-abs(x))) == 1/(Pi*(t^2 + 1)) )) assert(logical( ifourier(exp(-abs(r)),u) == 1/(Pi*(u^2 + 1)) )) assert(logical( ifourier(exp(-abs(r)),r,u) == 1/(Pi*(u^2 + 1)) )) ***** test % basic syms x w Pi=sym('pi'); assert(logical( ifourier(exp(-w^2/4)) == 1/(sqrt(Pi)*exp(x^2)) )) assert(logical( ifourier(sqrt(Pi)/exp(w^2/4)) == exp(-x^2) )) ***** test % Dirac delta tests syms x w Pi=sym('pi'); assert(logical( ifourier(dirac(w-2)) == exp(2*1i*x)/(2*Pi) )) assert (logical( ifourier(sym(2), w, x) == 2*dirac(x) )) ***** test % advanced test syms x w c d Pi=sym('pi'); f=(Pi*(dirac(x-c)+dirac(x+c))+2*Pi*1i*(-dirac(x+3*d)+dirac(x-3*d))+2/(x^2+1))/(2*Pi); assert(logical( simplify(ifourier(cos(c*w)+2*sin(3*d*w)+exp(-abs(w)))-f) == 0 )) ***** xtest % Inverse Fourier transform cannot recover non-smooth functions % SymPy cannot evaluate correctly?? syms x w assert(logical( ifourier(2/(w^2 + 1)) == exp(-abs(x)) )) assert(logical( ifourier(2/(w^2 + 1)) == heaviside(x)/exp(x) + heaviside(-x)*exp(x) )) assert(logical( ifourier(-(w*4)/(w^4 + 2*w^2 + 1) )== -x*exp(-abs(x))*1i )) assert(logical( ifourier(-(w*4)/(w^4 + 2*w^2 + 1) )== -x*(heaviside(x)/exp(x) + heaviside(-x)*exp(x))*1i )) !!!!! known failure assert (logical (ifourier (2 / (w ^ 2 + 1)) == exp (-abs (x)))) failed ***** error ifourier (sym('k', 'positive')*sym('k')) ***** test % SMT compact, prefers k over symvar syms k x y assert (isequal (ifourier(y*exp(-k^2/4)), y/sqrt(sym(pi))*exp(-x^2))) 8 tests, 7 passed, 1 known failure, 0 skipped [inst/@sym/hypot.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/hypot.m ***** assert (isequal (hypot (sym(3), 4), sym(5))) ***** test % compare to @double (note Matlab hypot only takes 2 inputs) A = hypot (hypot ([1 2 3], [4 5 6]), [7 8 9]); B = double (hypot (sym([1 2 3]), [4 5 6], [7 8 9])); assert (A, B, -eps) ***** test % compare to @double, with complex A = hypot ([1+2i 3+4i], [1 3+1i]); B = double (hypot (sym([1+2i 3+4i]), [1 3+1i])); assert (A, B, -eps) ***** test % matrices x = sym([1 -2; 0 3]); y = sym([0 0; 8 4]); A = hypot (x, y); B = sym([1 2; 8 5]); assert (isequal (A, B)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/hypergeom.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/hypergeom.m ***** assert (isequal (double (hypergeom ([1, 2], [2, 3], sym(0))), 1)) ***** test % matrix input syms z a = sym([1 2]); b = sym([3 4]); A = hypergeom (a, b, [0 sym(1); 2 z]); B = [hypergeom(a,b,0) hypergeom(a,b,1); hypergeom(a,b,2) hypergeom(a,b,z)]; assert (isequal (A, B)) ***** test % scalars for a and/or b syms z assert (isequal (hypergeom(1, 2, z), hypergeom({sym(1)}, {sym(2)}, z))) assert (isequal (hypergeom([1 2], 3, z), hypergeom([1 2], {sym(3)}, z))) assert (isequal (hypergeom(1, [2 3], z), hypergeom({sym(1)}, [2 3], z))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/horzcat.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/horzcat.m ***** test % basic syms x A = [x x]; B = horzcat(x, x); C = horzcat(x, x, x); assert (isa (A, 'sym')) assert (isa (B, 'sym')) assert (isa (C, 'sym')) assert (isequal (size(A), [1 2])) assert (isequal (size(B), [1 2])) assert (isequal (size(C), [1 3])) ***** test % basic, part 2 syms x A = [x 1]; B = [1 x]; C = [1 2 x]; assert (isa (A, 'sym')) assert (isa (B, 'sym')) assert (isa (C, 'sym')) assert (isequal (size(A), [1 2])) assert (isequal (size(B), [1 2])) assert (isequal (size(C), [1 3])) ***** test % row vectors a = [sym(1) 2]; b = [sym(3) 4]; assert (isequal ( [a b] , [1 2 3 4] )) assert (isequal ( [a 3 4] , [1 2 3 4] )) assert (isequal ( [3 4 a] , [3 4 1 2] )) assert (isequal ( [a [3 4]] , [1 2 3 4] )) assert (isequal ( [a sym(3) 4] , [1 2 3 4] )) assert (isequal ( [a [sym(3) 4]] , [1 2 3 4] )) ***** test % col vectors a = [sym(1); 2]; b = [sym(3); 4]; assert (isequal ( [a b] , [1 3; 2 4] )) assert (isequal ( [a b a] , [1 3 1; 2 4 2] )) ***** test % empty vectors v = sym(1); a = [v []]; assert (isequal (a, v)) a = [[] v []]; assert (isequal (a, v)) a = [v [] []]; assert (isequal (a, v)) ***** test % more empty vectors v = [sym(1) sym(2)]; q = sym(ones(1, 0)); assert (isequal ([v q], v)) ***** error v = [sym(1) sym(2)]; q = sym(ones(3, 0)); w = horzcat(v, q); ***** test % issue #700 A = sym ([1 2]); B = simplify (A); assert (isequal ([B A], [A B])) 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/horner.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/horner.m ***** error horner (sym(1), 2, 3) ***** assert (isAlways (horner(sym(1)) == 1)) ***** test syms x assert (isAlways (horner(x) == x)) ***** test syms x a p = a^2 + a*x + 2*a + 2*x; assert (isequal (horner (p, a), a*(a+x+2) + 2*x)) q = a^2 + 2*a + x*(a + 2); assert (isequal (horner (p, x), q)) assert (isequal (horner (p), q)) ***** test syms x p = poly2sym ([2 4 6 8], x); q = horner (p); assert (isAlways (p == q)) assert (isAlways (horner(2*x^3 + 4*x^2 + 6*x + 8) == q)) ***** test % non-sym input syms x assert (isequal (horner(6, x), sym(6))) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/hilb.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/hilb.m ***** test A = hilb (sym(3)); B = [sym(1) sym(1)/2 sym(1)/3; sym(1)/2 sym(1)/3 sym(1)/4; sym(1)/3 sym(1)/4 sym(1)/5]; assert (isequal (A, B)) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/hessian.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/hessian.m ***** shared x,y,z syms x y z ***** test % 1D f = x^2; assert (isequal (hessian(f), diff(f,x,x))) assert (isequal (hessian(f,{x}), diff(f,x,x))) assert (isequal (hessian(f,x), diff(f,x,x))) ***** test % const f = sym(1); g = sym(0); assert (isequal (hessian(f), g)) assert (isequal (hessian(f,x), g)) ***** test % double const f = 1; g = sym(0); assert (isequal (hessian(f,x), g)) ***** test % linear f = 42*x; g = sym(0); assert (isequal (hessian(f), g)) assert (isequal (hessian(f,x), g)) ***** test % linear f = 42*x - sym('a')*y; g = [0 0; 0 0]; assert (isequal (hessian(f, {x y}), g)) ***** test % 2d f = x*cos(y); g = [0 -sin(y); -sin(y) -f]; assert (isequal (hessian(f), g)) assert (isequal (hessian(f, {x y}), g)) ***** test % 3d f = x*cos(z); Hexp = [0 0 -sin(z); sym(0) 0 0; -sin(z) 0 -f]; H = hessian(f, {x y z}); assert (isequal (H, Hexp)) ***** error hessian([sym(1) sym(2)]) ***** error hessian(sym(1), 2, 3) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/heaviside.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/heaviside.m ***** error heaviside (sym(1), 2, 3) ***** assert (isequal (heaviside (sym(1)), sym(1))) ***** assert (isequal (heaviside (-sym(1)), sym(0))) ***** assert (double (heaviside (1)), heaviside (1)) ***** test D = [1 -1; -10 20]; A = sym(D); assert (double (heaviside (A)), heaviside (D)) ***** test if (python_cmd ('return Version(spver) <= Version("1.0")')) disp ('skipping test, sympy too old') else H0 = sym([1 -2 0; 3 0 pi]); A = heaviside (sym(0), H0); assert (isequal (A, H0)) end ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) A = heaviside ([-1 0 1], sym(1)/2); assert (isequal (A, [0 sym(1)/2 1])) end ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) A = heaviside ([-1 0 1], sym(1)/2); assert (isequal (A, [0 sym(1)/2 1])) end ***** assert (isequaln (heaviside (sym(nan)), sym(nan))) ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) assert (isequaln (heaviside (sym(nan), sym(nan)), sym(nan))) assert (isequaln (heaviside (0, sym(nan)), sym(nan))) assert (isequaln (heaviside (2, sym(nan)), sym(1))) assert (isequaln (heaviside (-2, sym(nan)), sym(0))) end ***** test % round trip syms x A = heaviside (1); f = heaviside (x); h = function_handle (f); B = h (1); assert (A, B, -eps) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x h0 f = heaviside (x, h0); h = function_handle (f, 'vars', {x h0}); A = heaviside (1, 1/2); B = h (1, 1/2); assert (A, B, -eps) A = heaviside (0, 1/2); B = h (0, 1/2); assert (A, B, -eps) end 12 tests, 12 passed, 0 known failure, 0 skipped [inst/@sym/has.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/has.m ***** shared A, x, y syms x y A = [sym(pi) 2*sym(pi); x*y x+y]; ***** assert (isequal (has(A, x), [false false; true true])); ***** assert (isequal (has(A, x+y), [false false; false true])); ***** assert (isequal (has(A, 2), [false true; false false])); ***** assert (isequal (has(A, sym(pi)), [true true; false false])); 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/harmonic.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/harmonic.m ***** error harmonic (sym(1), 2) ***** xtest assert (isequaln (harmonic (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (harmonic (sym (nan)), sym (nan))) failed ***** assert (isequal (harmonic (sym(0)), sym(0))) ***** assert (isinf (harmonic (sym(inf)))) ***** assert (isequal (harmonic (sym([9 10])), [sym(7129)/2520 sym(7381)/2520])) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.2")')) y = sym('y'); A = harmonic (7); f = harmonic (y); h = function_handle (f); B = h (7); assert (A, B, -eps) end 6 tests, 5 passed, 1 known failure, 0 skipped [inst/@sym/gt.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/gt.m ***** test % simple x = sym(1); y = sym(1); e = x > y; assert (~logical (e)) x = sym(1); y = sym(2); e = x > y; assert (~logical (e)) ***** test % array -- array syms x a = sym([1 3 3 2*x]); b = sym([2 x 3 10]); e = a > b; assert (isa (e, 'sym')) assert (~logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), 3 > x)) assert (~logical (e(3))) assert (isa (e(4), 'sym')) assert (isequal (e(4), 2*x > 10)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/gradient.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/gradient.m ***** shared x,y,z syms x y z ***** test % 1D f = x^2; assert (isequal (gradient(f), diff(f,x))) assert (isequal (gradient(f,{x}), diff(f,x))) assert (isequal (gradient(f,[x]), diff(f,x))) assert (isequal (gradient(f,x), diff(f,x))) ***** test % const f = sym(1); g = sym(0); assert (isequal (gradient(f), g)) assert (isequal (gradient(f,x), g)) ***** test % double const f = 1; g = sym(0); assert (isequal (gradient(f,x), g)) ***** test % 1D fcn in 2d/3d f = sin(y); assert (isequal (gradient(f), diff(f,y))) assert (isequal (gradient(f, {x,y}), [sym(0); diff(f,y)])) assert (isequal (gradient(f, [x y]), [sym(0); diff(f,y)])) assert (isequal (size (gradient(f, {x,y})), [2 1])) assert (isequal (gradient(f, {x,y,z}), [0; diff(f,y); 0])) assert (isequal (gradient(f, [x y z]), [0; diff(f,y); 0])) assert (isequal (size (gradient(f, {x,y,z})), [3 1])) ***** test % grad is column vector f = sin(y); assert (isequal (size (gradient(f, {x,y})), [2 1])) assert (isequal (size (gradient(f, {x,y,z})), [3 1])) assert (isequal (size (gradient(f, [x y])), [2 1])) assert (isequal (size (gradient(f, [x;y])), [2 1])) ***** test % 2d fcn in 2d/3d f = sin(exp(x)*y); g2 = [diff(f,x); diff(f,y)]; g3 = [diff(f,x); diff(f,y); diff(f,z)]; assert (isequal (gradient(f), g2)) assert (isequal (gradient(f, {x,y}), g2)) assert (isequal (gradient(f, {x,y,z}), g3)) ***** test % 2d fcn in 2d/3d f = sin(exp(x)*y+sinh(z)); g2 = [diff(f,x); diff(f,y)]; g3 = [diff(f,x); diff(f,y); diff(f,z)]; assert (isequal (gradient(f), g3)) assert (isequal (gradient(f, {x,y}), g2)) assert (isequal (gradient(f, {x,y,z}), g3)) ***** error gradient(sym('x'), 42, 42) ***** error gradient([sym('x') sym('x')]) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/ge.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ge.m ***** test % simple x = sym(1); y = sym(1); e = x >= y; assert (logical (e)) x = sym(1); y = sym(2); e = x >= y; assert (~logical(e)) ***** test % array -- array syms x a = sym([1 3 3 2*x]); b = sym([2 x 3 10]); e = a >= b; assert (isa (e, 'sym')) assert (~logical (e(1))) assert (isa (e(2), 'sym')) assert (isequal (e(2), 3 >= x)) assert (logical (e(3))) assert (isa (e(4), 'sym')) assert (isequal (e(4), 2*x >= 10)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/gammaln.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/gammaln.m ***** assert (isequal (gammaln (sym (3)), log (sym (2)))) ***** assert (isequal (gammaln (sym (10)), log (gamma (sym (10))))) ***** test % compare to Maple: evalf(lnGAMMA(Pi)); maple = vpa ('0.827694592323437101529578558452359951153502', 40); us = vpa (gammaln (sym(pi)), 40); assert (abs(double(maple-us)) < 1e-39) ***** test % compare to Maple: evalf(lnGAMMA(3+2*I)); maple = vpa ('-0.0316390593739611898037677296008797172022603', 40) + ... vpa ('2.02219319750132712401643376238334982100512j', 40); us = vpa (gammaln (sym(3) + 2i), 40); assert (abs(double(maple-us)) < 1e-39) ***** test % compare to Maple: evalf(lnGAMMA(-1.5)); % notably, @double/gammaln has zero imag part maple = vpa ('0.8600470153764810145109326816703567873271571', 40) - ... vpa ('6.2831853071795864769252867665590057683943388j', 40); us = vpa (gammaln (-sym(3)/2), 40); assert (abs(double(maple-us)) < 1e-39) ***** assert (gammaln (pi), double (gammaln (sym (pi))), -3*eps) ***** assert (gammaln (100), double (gammaln (sym (100))), -3*eps) ***** assert (gammaln (1e-3), double (gammaln (1/sym (1e3))), -100*eps) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x f = gammaln (x); h = function_handle (f); A = h (1.1); B = gammaln (1.1); assert (A, B) end 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/gammainc.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/gammainc.m ***** assert (isequal (gammainc (sym(0), 1), sym(0))) ***** assert (isequal (gammainc (sym(0), 2), sym(0))) ***** assert (isequal (gammainc (sym('oo'), 1), sym(1))) ***** assert (isequal (gammainc (sym(0), 1, 'upper'), sym(1))) ***** assert (isequal (gammainc (sym(0), 2, 'upper'), sym(1))) ***** assert (isequal (gammainc (sym('oo'), 1, 'upper'), sym(0))) ***** test % default is lower syms x a assert (isequal (gammainc (x, a), gammainc(x, a, 'lower'))) ***** test % compare to double x = 5; a = 1; A = gammainc (x, a); B = double (gammainc (sym(x), a)); assert(A, B, -eps) ***** test % compare to double x = 100; a = 1; A = gammainc (x, a); B = double (gammainc (sym(x), a)); assert(A, B, -eps) ***** test % compare to double xs = sym(1)/1000; x = 1/1000; a = 1; A = gammainc (x, a); B = double (gammainc (xs, a)); assert(A, B, -eps) ***** test % compare to double x = 5; a = 1; A = gammainc (x, a, 'upper'); B = double (gammainc (sym(x), a, 'upper')); assert(A, B, -10*eps) ***** test % compare to double % https://savannah.gnu.org/bugs/index.php?47800 if (~ exist('OCTAVE_VERSION', 'builtin') || ... compare_versions (OCTAVE_VERSION (), '4.3.0', '>=')) x = 10; a = 1; A = gammainc (x, a, 'upper'); B = double (gammainc (sym(x), a, 'upper')); assert(A, B, -10*eps) end ***** test % compare to double if (~ exist('OCTAVE_VERSION', 'builtin') || ... compare_versions (OCTAVE_VERSION (), '4.3.0', '>=')) x = 40; a = 1; A = gammainc (x, a, 'upper'); B = double (gammainc (sym(x), a, 'upper')); assert(A, B, -10*eps) end ***** test % compare to double xs = sym(1)/1000; x = 1/1000; a = 1; A = gammainc (x, a, 'upper'); B = double (gammainc (xs, a, 'upper')); assert(A, B, -eps) ***** test % vectorized P = gammainc([sym(pi) 2], [1 3]); expected = [gammainc(pi, sym(1)) gammainc(2, sym(3))]; assert (isequal (P, expected)) ***** test % vectorized P = gammainc(sym(pi), [1 3]); expected = [gammainc(sym(pi), 1) gammainc(sym(pi), 3)]; assert (isequal (P, expected)) ***** test % vectorized P = gammainc([sym(pi) 2], 1); expected = [gammainc(pi, sym(1)) gammainc(2, sym(1))]; assert (isequal (P, expected)) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x a f = gammainc (x, a, 'upper'); h = function_handle (f, 'vars', [x a]); A = h (1.1, 2.2); B = gammainc (1.1, 2.2, 'upper'); assert (A, B) end ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x a f = gammainc (x, a, 'lower'); h = function_handle (f, 'vars', [x a]); A = h (1.1, 2.2); B = gammainc (1.1, 2.2, 'lower'); assert (A, B) end 19 tests, 19 passed, 0 known failure, 0 skipped [inst/@sym/gamma.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/gamma.m ***** error gamma (sym(1), 2) ***** assert (isequaln (gamma (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = gamma(x); f2 = gamma(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = gamma(A); f2 = gamma(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = gamma (d); f = gamma (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/function_handle.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/function_handle.m ***** shared x,y,z syms x y z ***** test % basic test h = function_handle(2*x); assert(isa(h, 'function_handle')) assert(h(3)==6) ***** test % autodetect inputs h = function_handle(2*x*y, x+y); [t1, t2] = h(3,5); assert(t1 == 30 && t2 == 8) ***** test % specified inputs h = function_handle(2*x*y, 'vars', [x y]); assert(h(3,5)==30) h = function_handle(2*x*y, x+y, 'vars', [x y]); [t1, t2] = h(3,5); assert(t1 == 30 && t2 == 8) ***** test % cell arrays for vars list h = function_handle(2*x*y, x+y, 'vars', {x y}); [t1, t2] = h(3,5); assert(t1 == 30 && t2 == 8) h = function_handle(2*x*y, x+y, 'vars', {'x' 'y'}); [t1, t2] = h(3,5); assert(t1 == 30 && t2 == 8) ***** test % cell arrays specfies order, overriding symvar order h = function_handle(x*y, 12/y, 'vars', {y x}); [t1, t2] = h(3, 6); assert(t1 == 18 && t2 == 4) h = function_handle(x*y, 12/y, 'vars', [y x]); [t1, t2] = h(3, 6); assert(t1 == 18 && t2 == 4) ***** test % cell arrays specfies order, overriding symvar order h = function_handle(x*y, 12/y, 'vars', {y x}); [t1, t2] = h(3, 6); assert(t1 == 18 && t2 == 4) h = function_handle(x*y, 12/y, 'vars', [y x]); [t1, t2] = h(3, 6); assert(t1 == 18 && t2 == 4) ***** test % Functions with different names in Sympy. f = abs(x); % becomes Abs(x) h = function_handle(f); assert(h(-10) == 10) f = ceil(x); h = function_handle(f); assert(h(10.1) == 11) ***** test % 'file' with empty filename returns handle h = function_handle(2*x*y, 'file', ''); assert(isa(h, 'function_handle')) assert(h(3,5)==30) h = function_handle(2*x*y, 'vars', {x y}, 'file', ''); assert(isa(h, 'function_handle')) assert(h(3,5)==30) ***** test % output to disk fprintf('\n') if (exist ('OCTAVE_VERSION', 'builtin')) temp_file = tempname('', 'oct_'); else temp_file = tempname(); end % allow loading function from temp_file [temp_path, ans, ans] = fileparts(temp_file); addpath(temp_path); f = function_handle(2*x*y, 2^x, 'vars', {x y z}, 'file', temp_file); assert( isa(f, 'function_handle')) addpath(temp_path); % Matlab 2014a needs this? [a,b] = f(10,20,30); assert (isnumeric (a) && isnumeric (b)) assert (a == 400) assert (b == 1024) if (exist ('OCTAVE_VERSION', 'builtin')) assert (unlink([temp_file '.m']) == 0) else delete ([temp_file '.m']) end % remove temp_path from load path rmpath(temp_path); Wrote file /tmp/oct_rZnVrf.m. ***** test % output to disk: also works with .m specified if (exist ('OCTAVE_VERSION', 'builtin')) temp_file = [tempname('', 'oct_') '.m']; else temp_file = [tempname() '.m']; end % allow loading function from temp_file [temp_path, ans, ans] = fileparts(temp_file); addpath(temp_path); f = function_handle(2*x*y, 2^x, 'vars', {x y z}, 'file', temp_file); assert( isa(f, 'function_handle')) addpath(temp_path); % Matlab 2014a needs this? [a,b] = f(10,20,30); assert (isnumeric (a) && isnumeric (b)) assert (a == 400) assert (b == 1024) if (exist ('OCTAVE_VERSION', 'builtin')) assert (unlink(temp_file) == 0) else delete (temp_file) end % remove temp_path from load path rmpath(temp_path); Wrote file /tmp/oct_K3WbxR.m. ***** test % non-scalar outputs H = [x y z]; M = [x y; z 16]; V = [x;y;z]; h = function_handle(H, M, V); [t1,t2,t3] = h(1,2,3); assert(isequal(t1, [1 2 3])) assert(isequal(t2, [1 2; 3 16])) assert(isequal(t3, [1;2;3])) ***** test % non-scalar outputs in .m files H = [x y z]; M = [x y; z 16]; V = [x;y;z]; if (exist ('OCTAVE_VERSION', 'builtin')) temp_file = tempname('', 'oct_'); else temp_file = tempname(); end % allow loading function from temp_file [temp_path, ans, ans] = fileparts(temp_file); addpath(temp_path); h = function_handle(H, M, V, 'vars', {x y z}, 'file', temp_file); assert( isa(h, 'function_handle')) addpath(temp_path); % Matlab 2014a needs this? [t1,t2,t3] = h(1,2,3); assert(isequal(t1, [1 2 3])) assert(isequal(t2, [1 2; 3 16])) assert(isequal(t3, [1;2;3])) if (exist ('OCTAVE_VERSION', 'builtin')) assert (unlink([temp_file '.m']) == 0) else delete ([temp_file '.m']) end % remove temp_path from load path rmpath(temp_path); Wrote file /tmp/oct_L9xBrx.m. ***** test % order of outputs is lexiographic syms a A x y f = y + 10*a + 100*x + 1000*A; h = function_handle(f); assert (h(1, 2, 3, 4) == 1000 + 20 + 300 + 4) ***** test % https://github.com/cbm755/octsympy/issues/854 if (python_cmd ('return Version(spver) > Version("1.1.1")')) f = function_handle (x + 1i*sqrt (sym(3))); assert (f (1), complex (1, sqrt (3)), -eps) end 14 tests, 14 passed, 0 known failure, 0 skipped [inst/@sym/fresnels.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/fresnels.m ***** test a = fresnels(sym(0)); assert (isequal (a, sym(0))) ***** test b = fresnels(sym('oo')); assert (isequal (b, sym(1)/2)) ***** test % values in a matrix syms x a = fresnels([sym(0) sym('oo') x 1]); b = [sym(0) sym(1)/2 fresnels(x) fresnels(sym(1))]; assert (isequal (a, b)) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x f = fresnels (x); h = function_handle (f); A = h (1.1); B = fresnels (1.1); assert (A, B) end 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/fresnelc.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/fresnelc.m ***** test a = fresnelc(sym(0)); assert (isequal (a, sym(0))) ***** test b = fresnelc(sym('oo')); assert (isequal (b, sym(1)/2)) ***** test % values in a matrix syms x a = fresnelc([sym(0) sym('oo') x 1]); b = [sym(0) sym(1)/2 fresnelc(x) fresnelc(sym(1))]; assert (isequal (a, b)) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x f = fresnelc (x); h = function_handle (f); A = h (1.1); B = fresnelc (1.1); assert (A, B) end 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/frac.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/frac.m ***** test f1 = frac(sym(11)/10); f2 = sym(1)/10; assert (isequal (f1, f2)) ***** test d = sym(-11)/10; c = sym(9)/10; assert (isequal (frac (d), c)) ***** test d = sym(-19)/10; c = sym(1)/10; assert (isequal (frac (d), c)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/fourier.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/fourier.m ***** test % matlab SMT compatibiliy for arguments syms r x u w v Pi=sym('pi'); assert(logical( fourier(exp(-x^2)) == sqrt(Pi)/exp(w^2/4) )) assert(logical( fourier(exp(-w^2)) == sqrt(Pi)/exp(v^2/4) )) assert(logical( fourier(exp(-r^2),u) == sqrt(Pi)/exp(u^2/4) )) assert(logical( fourier(exp(-r^2),r,u) == sqrt(Pi)/exp(u^2/4) )) ***** test % basic tests syms x w assert(logical( fourier(exp(-abs(x))) == 2/(w^2 + 1) )) assert(logical( fourier(x*exp(-abs(x))) == -(w*4*1i)/(w^4 + 2*w^2 + 1) )) ***** test % Dirac delta tests syms x w Pi=sym('pi'); assert(logical( fourier(dirac(x-2)) == exp(-2*1i*w) )) assert (logical( fourier(sym(2), x, w) == 4*Pi*dirac(w) )) ***** test % advanced test syms x w c d Pi=sym('pi'); F=Pi*(dirac(w-c)+dirac(w+c))+2*Pi*1i*(dirac(w+3*d)-dirac(w-3*d))+2/(w^2+1); assert(logical( fourier(cos(c*x)+2*sin(3*d*x)+exp(-abs(x))) == expand(F) )) ***** xtest % Differential operator to algebraic % SymPy cannot evaluate? (Issue #170) syms x w f(x) assert(logical( fourier(diff(f(x),x),x,w) == -1i*w*fourier(f(x),x,w) )) !!!!! known failure assert (logical (fourier (diff (f (x), x), x, w) == -1i * w * fourier (f (x), x, w))) failed 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/fortran.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/fortran.m ***** shared x,y,z syms x y z ***** test % basic test f = x*sin(y) + abs(z); source = fortran(f); expected = ' x*sin(y) + abs(z)'; s1 = strrep (expected, 'abs', 'Abs'); assert (strcmp (source, expected) || strcmp (source, s1)) ***** test % output test f = x*sin(y) + abs(z); [F,H] = fortran(f, 'file', '', 'show_header', false); expected_h_code = sprintf('\ninterface\nREAL*8 function myfun(x, y, z)\nimplicit none\nREAL*8, intent(in) :: x\nREAL*8, intent(in) :: y\nREAL*8, intent(in) :: z\nend function\nend interface\n\n'); expected_f_code = sprintf('\nREAL*8 function myfun(x, y, z)\nimplicit none\nREAL*8, intent(in) :: x\nREAL*8, intent(in) :: y\nREAL*8, intent(in) :: z\n\nmyfun = x*sin(y) + abs(z)\n\nend function\n'); assert(strcmp(F.name, 'file.f90')) assert(strcmp(H.name, 'file.h')) %disp(expected_f_code); disp(F.code) s1 = strrep (expected_f_code, 'abs', 'Abs'); s2 = strrep (expected_f_code, sprintf ('\n'), sprintf ('\r\n')); s3 = strrep (s2, 'abs', 'Abs'); s4 = strrep (expected_h_code, sprintf ('\n'), sprintf ('\r\n')); assert (strcmp (F.code, expected_f_code) || strcmp (F.code, s1) || strcmp (F.code, s2) || strcmp (F.code, s3)) assert (strcmp (H.code, expected_h_code) || strcmp (H.code, s4)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/formula.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/formula.m ***** test syms x assert (isequal (formula(x), x)) assert (isequal (formula(2*x), 2*x)) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/floor.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/floor.m ***** error floor (sym(1), 2) ***** assert (isequaln (floor (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = floor(x); f2 = floor(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = floor(A); f2 = floor(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = floor (d); f = floor (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/flipud.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/flipud.m ***** test % simple syms x A = [x 2; sym(pi) x]; B = [sym(pi) x; x 2]; assert (isequal (flipud(A), B)) ***** test % simple, odd # rows syms x A = [x 2; sym(pi) x; [1 2]]; B = [[1 2]; sym(pi) x; x 2]; assert (isequal (flipud(A), B)) ***** test % scalar syms x assert (isequal (flipud(x), x)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/fliplr.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/fliplr.m ***** test % simple syms x A = [x 2; sym(pi) x]; B = [2 x; x sym(pi)]; assert (isequal (fliplr(A), B)) ***** test % simple, odd # cols syms x A = [x 2 sym(pi); x 1 2]; B = [sym(pi) 2 x; 2 1 x]; assert (isequal (fliplr(A), B)) ***** test % scalar syms x assert (isequal (fliplr(x), x)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/fix.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/fix.m ***** test d = 3/2; x = sym('3/2'); f1 = fix(x); f2 = fix(d); assert (isequal (f1, f2)) ***** test D = [1.1 4.6; -3.4 -8.9]; A = [sym(11)/10 sym(46)/10; sym(-34)/10 sym(-89)/10]; f1 = fix(A); f2 = fix(D); assert( isequal (f1, f2)) ***** test d = sym(-11)/10; c = -1; assert (isequal (fix (d), c)) ***** test d = sym(-19)/10; c = -1; assert (isequal (fix (d), c)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/findsym.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/findsym.m ***** assert (strcmp (findsym (sym(2)), '')); ***** shared x,y,f x=sym('x'); y=sym('y'); f=x^2+3*x*y-y^2; ***** assert (strcmp (findsym (f), 'x,y')); ***** assert (strcmp (findsym (f,1), 'x')); ***** test % test order of returned vars syms x y a b c xx % https://www.mathworks.com/matlabcentral/newsreader/view_thread/237730 alpha = sym('alpha'); assert (strcmp (findsym(b*xx*exp(alpha) + c*sin(a*y), 2), 'xx,y')) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/factorial.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/factorial.m ***** error factorial (sym(1), 2) ***** xtest assert (isequaln (factorial (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (factorial (sym (nan)), sym (nan))) failed ***** shared x, d d = 1; x = sym('1'); ***** test f1 = factorial(x); f2 = factorial(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = factorial(A); f2 = factorial(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = factorial (d); f = factorial (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/factor.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/factor.m ***** test % n = 152862; % [p,m] = factor(n); % only works on Octave, no Matlab as of 2014a n = 330; % so we use an output without repeated factors p = factor(n); m = ones(size(p)); [ps,ms] = factor(sym(n)); assert (isequal (p, ps)) assert (isequal (m, ms)) ***** test n = sym(2)^4*13; [p,m] = factor(n); assert (isequal (p, [2 13])) assert (isequal (m, [4 1])) ***** test syms x assert( logical (factor(x^2 + 6*x + 5) == (x+5)*(x+1))) ***** test syms x f = [ x^4/2 + 5*x^3/12 - x^2/3 x^2 - 1 10]; g = [ x^2*(2*x - 1)*(3*x + 4)/12 (x+1)*(x-1) 10]; assert (isequal (factor(f), g)) ***** test % "fragile form" works A = factor(sym(124)); B = strtrim(disp(A, 'flat')); assert (strcmp (B, '2**2*31**1')) ***** error [p, m] = factor(sym('x')); ***** error [p, m] = factor(sym(42), sym('x')); ***** test % if polynomial happens to be a constant, don't attempt integer % factorization if a variable is specified f = sym(42); q = factor(f, sym('x')); assert (isequal (f, q)); 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/ezsurf.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ezsurf.m ***** error syms u v t ezsurf(u*v, 2*u*v, 3*v*t) ***** error syms u v t ezsurf(u*v, 2*u*v, u*v*t) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/ezcontour.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ezcontour.m ***** error syms x y z ezcontour (x*y*z) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/eye.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/eye.m ***** test y = eye(sym(2)); x = [1 0; 0 1]; assert( isequal( y, sym(x))) ***** test y = eye(sym(2), 1); x = [1; 0]; assert( isequal( y, sym(x))) ***** test y = eye(sym(1), 2); x = [1 0]; assert( isequal( y, sym(x))) ***** assert( isa( eye(sym(2), 'double'), 'double')) ***** assert( isa( eye(3, sym(3), 'single') , 'single')) ***** assert( isa( eye(3, sym(3)), 'sym')) ***** assert( isa( eye(3, sym(3), 'sym'), 'sym')) ***** xtest % Issue #13 assert( isa( eye(3, 3, 'sym'), 'sym')) !!!!! known failure invalid data type specified 8 tests, 7 passed, 1 known failure, 0 skipped [inst/@sym/expm.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/expm.m ***** test % scalar syms x assert (isequal (expm(x), exp(x))) ***** test % diagonal A = [sym(1) 0; 0 sym(3)]; B = [exp(sym(1)) 0; 0 exp(sym(3))]; assert (isequal (expm(A), B)) ***** test % diagonal w/ x syms x positive A = [sym(1) 0; 0 x+2]; B = [exp(sym(1)) 0; 0 exp(x+2)]; assert (isequal (expm(A), B)) ***** test % non-diagonal syms x positive A = [sym(1) 2; 0 x+2]; B = expm(A); C = double(subs(B, x, 4)); D = expm(double(subs(A, x, 4))); assert (max (max (abs (C - D))) <= 1e-11) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/expint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/expint.m ***** test f1 = expint(sym(1)); f2 = expint(1); assert( abs(double(f1) - f2) < 1e-15 ) ***** test f1 = expint(sym(1i)); f2 = expint(1i); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [1 2; 3 4]; A = sym(D); f1 = expint(A); f2 = expint(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test syms x A = expint(x); B = expint(1, x); assert (isequal (A, B)) ***** test syms x A = exp(-x)/x; B = expint(0, x); assert (isequal (A, B)) ***** error expint(sym(1), 2, 3) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.2")')) syms x A = expint (3); f = expint (x); h = function_handle (f); B = h (3); assert (A, B, -eps) end ***** error % round trip syms n x f = expint (n, x); h = function_handle (f); 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/expand.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/expand.m ***** test syms x assert (logical (x^2 + 6*x + 5 == expand ((x+5)*(x+1)))) assert (isequal (x^2 + 6*x + 5, expand ((x+5)*(x+1)))) ***** test % array syms x assert (isequal (expand ([x (x+1)*x]), [x x^2+x])) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/exp.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/exp.m ***** error exp (sym(1), 2) ***** assert (isequaln (exp (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = exp(x); f2 = exp(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = exp(A); f2 = exp(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = exp (d); f = exp (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/euler.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/euler.m ***** error euler (sym(1), 2, 3) ***** assert (isequal (euler (sym(0)), sym(1))) ***** test m = sym([0 1 2; 8 10 888889]); A = euler (m); B = sym([1 0 -1; 1385 -50521 0]); assert (isequal (A, B)) ***** test if (python_cmd('return Version(spver) > Version("1.1.1")')) syms x assert (isequal (euler(6, x), x^6 - 3*x^5 + 5*x^3 - 3*x)) end ***** test if (python_cmd('return Version(spver) > Version("1.1.1")')) assert (isnan (euler (3, sym(nan)))) end ***** test if (python_cmd('return Version(spver) > Version("1.1.1")')) syms m x em = euler (m, x); A = subs(em, [m x], [2 sym(pi)]); assert (isequal (A, sym(pi)^2 - sym(pi))) end ***** test % vectorized if (python_cmd('return Version(spver) > Version("1.1.1")')) syms x y A = euler([1; 2], [x; y]); B = [x - sym(1)/2; y^2 - y]; assert (isequal (A, B)) end ***** test % round trip if (python_cmd('return Version(spver) > Version("1.1.1")')) syms m z f = euler (m, z); h = function_handle (f, 'vars', [m z]); A = h (2, 2.2); B = euler (2, 2.2); assert (A, B) end ***** test % compare vpa to maple: Digits:=34; evalf(euler(13, exp(1)+Pi*I/13)); if (python_cmd('return Version(spver) > Version("1.1.1")')) A = vpa('1623.14184180556920918624604530515') + ... vpa('4270.98066989140286451493108809574')*1i; z = vpa (exp(1), 32) + vpa(pi, 32)/13*1i; B = euler (13, z); relerr = double(abs((B - A)/A)); assert (abs(relerr) < 2e-31); end 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/erfinv.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/erfinv.m ***** error erfinv (sym(1), 2) ***** assert (isequaln (erfinv (sym(nan)), sym(nan))) ***** shared x, d d = 1/2; x = sym('1/2'); ***** test f1 = erfinv(x); f2 = erfinv(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = erfinv(A); f2 = erfinv(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = erfinv (d); f = erfinv (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/erfi.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/erfi.m ***** error erfi (sym(1), 2) ***** assert (isequaln (erfi (sym(nan)), sym(nan))) ***** shared x, d d = 0; x = sym('0'); ***** test f1 = erfi(x); f2 = 0; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = erfi(A); f2 = 0; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = erfi (d); f = erfi (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/erfcinv.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/erfcinv.m ***** error erfcinv (sym(1), 2) ***** assert (isequaln (erfcinv (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = erfcinv(x); f2 = erfcinv(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = erfcinv(A); f2 = erfcinv(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = erfcinv (d); f = erfcinv (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/erfc.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/erfc.m ***** error erfc (sym(1), 2) ***** assert (isequaln (erfc (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = erfc(x); f2 = erfc(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = erfc(A); f2 = erfc(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = erfc (d); f = erfc (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/erf.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/erf.m ***** error erf (sym(1), 2) ***** assert (isequaln (erf (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = erf(x); f2 = erf(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = erf(A); f2 = erf(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = erf (d); f = erf (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/equationsToMatrix.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/equationsToMatrix.m ***** test syms x y z [A, B] = equationsToMatrix ([x + y - z == 1, 3*x - 2*y + z == 3, 4*x - 2*y + z + 9 == 0], [x, y, z]); a = sym ([1 1 -1; 3 -2 1; 4 -2 1]); b = sym ([1; 3; -9]); assert (isequal (A, a)) assert (isequal (B, b)) ***** test syms x y z A = equationsToMatrix ([3*x + -3*y - 5*z == 9, 4*x - 7*y + -3*z == -1, 4*x - 9*y - 3*z + 2 == 0], [x, y, z]); a = sym ([3 -3 -5; 4 -7 -3; 4 -9 -3]); assert (isequal (A, a)) ***** test syms x y [A, B] = equationsToMatrix ([3*x + 9*y - 5 == 0, -8*x - 3*y == -2]); a = sym ([3 9; -8 -3]); b = sym ([5; -2]); assert (isequal (A, a)) assert (isequal (B, b)) ***** test % override symvar order syms x y [A, B] = equationsToMatrix ([3*x + 9*y - 5 == 0, -8*x - 3*y == -2], [y x]); a = sym ([9 3; -3 -8]); b = sym ([5; -2]); assert (isequal (A, a)) assert (isequal (B, b)) ***** test syms x y z [A, B] = equationsToMatrix ([x - 9*y + z == -5, -9*y*z == -5], [y, x]); a = sym ([[-9 1]; -9*z 0]); b = sym ([-5 - z; -5]); assert (isequal (A, a)) assert (isequal (B, b)) ***** test syms x y [A, B] = equationsToMatrix (-6*x + 4*y == 5, 4*x - 4*y - 5, x, y); a = sym ([-6 4; 4 -4]); b = sym ([5; 5]); assert (isequal (A, a)) assert (isequal (B, b)) ***** test % vertical list of equations syms x y [A, B] = equationsToMatrix ([-6*x + 4*y == 5; 4*x - 4*y - 5], [x y]); a = sym ([-6 4; 4 -4]); b = sym ([5; 5]); assert (isequal (A, a)) assert (isequal (B, b)) ***** test syms x y [A, B] = equationsToMatrix (5*x == 1, y, x - 6*y - 7, y); a = sym ([0; 1; -6]); b = sym ([1 - 5*x; 0; -x + 7]); assert (isequal (A, a)) assert (isequal (B, b)) ***** error syms x y [A, B] = equationsToMatrix (x^2 + y^2 == 1, x - y + 1, x, y); ***** test % single equation syms x [A, B] = equationsToMatrix (3*x == 2, x); a = sym (3); b = sym (2); assert (isequal (A, a)) assert (isequal (B, b)) ***** test % single equation w/ symvar syms x [A, B] = equationsToMatrix (3*x == 2); a = sym (3); b = sym (2); assert (isequal (A, a)) assert (isequal (B, b)) ***** error if (python_cmd ('return Version(spver) <= Version("1.3")')) error ('unique') end syms x equationsToMatrix (3*x == 2, [x x]) 12 tests, 12 passed, 0 known failure, 0 skipped [inst/@sym/eq.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/eq.m ***** test % simple tests with scalar numbers assert (logical (sym(1) == sym(1))) assert (logical (sym(1) == 1)) assert (~logical (sym(1) == 0)) assert (isequal (sym(1) == sym(1), sym(true))) assert (isequal (sym(1) == 1, sym(true))) assert (isequal (sym(1) == 0, sym(false))) ***** test % Type of the output is sym or logical? % FIXME: in current version, they are sym e = sym(1) == sym(1); %assert (islogical (e)) assert (isa (e, 'sym')) ***** test % things involving a variable are usually not bool but sym. % (SMT behaviour says always, FIXME: currently we differ.) syms x e = x == 0; assert (~islogical (e)) assert (isa (e, 'sym')) ***** test % ... except of course via cancelation syms x e = x - x == 0; assert (logical (e)) assert (isequal (e, sym(true))) ***** test % array == array a = sym([1 2; 3 4]); y = a == a; assert (isequal( size(y), [2 2])) assert (isequal (y, sym([true true; true true]))) assert (all(all(y))) y = a == 1; assert (isequal( size(y), [2 2])) assert (isequal (y, sym([true false; false false]))) assert (any(any(y))) y = a == 42; assert (isequal( size(y), [2 2])) assert (isequal (y, sym([false false; false false]))) ***** test % more array == array D = [0 1; 2 3]; A = [sym(0) 1; sym(2) 3]; DZ = D - D; assert (isequal (logical(A == A), [true true; true true])) assert (isequal (logical(A == D), [true true; true true])) assert (isequal (logical(A - D == DZ), [true true; true true])) assert (all (all ( A == A ))) assert (all (all ( A == D ))) assert (all (all ( A - D == DZ ))) ***** test % logical output, right shape, etc t = true; f = false; a = sym([0 1 2; 3 4 5]); b = sym([0 1 1; 3 5 5]); e = a == b; eexp = sym(logical([1 1 0; 1 0 1])); assert (isequal (e, eexp)) a = sym([0 1 2]); b = sym([0 1 1]); e = a == b; eexp = sym(logical([1 1 0])); assert (isequal (e, eexp)) e = a' == b'; eexp = eexp.'; % is/was bug here with ' assert (isequal (e, eexp)) ***** test % empty matrices compare to correct empty size a = zeros (sym(3), 0); assert (size (a == a), [3, 0]) a = zeros (sym(0), 2); assert (size (a == a), [0, 2]) 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/end.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/end.m ***** test % scalar syms x y = x(1:end); assert (isequal (x, y)) ***** test % vector syms x A = [1 2 x 4]; y = A(end-1:end); assert (isequal (y, [x 4])) ***** test % subset of matrix syms x A = [1 2 x; x 3 9; 4 x*x 6]; y = A(end,1:end-1); assert (isequal (y, [4 x*x])) ***** test % linear index of matrix syms x A = [1 2 x; x 3 9]; y = A(end); assert (isequal (y, sym(9))) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/ellipticPi.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticPi.m ***** error ellipticPi (sym (1)) ***** error ellipticPi (sym (1), 2, 3, 4) ***** assert (double (ellipticPi (sym (-23)/10, sym (pi)/4, 0)), 0.5876852228, 10e-11) ***** assert (double (ellipticPi (sym (1)/3, sym (pi)/3, sym (1)/2)), 1.285032276, 10e-11) ***** assert (double (ellipticPi (sym (2), sym (pi)/6, sym (2))), 0.7507322117, 10e-11) ***** xtest % FIXME: search/report upstream assert (double (ellipticPi (sym (-1), 0, sym (1))), 0) !!!!! known failure ASSERT errors for: assert (double (ellipticPi (sym (-1), 0, sym (1))),0) Location | Observed | Expected | Reason () NaN 0 'NaN' mismatch ***** test % compare to Maple, complete us = vpa (ellipticPi (sym(1)/6, sym(4)/3), 40); % > evalf(EllipticPi(sin(1/6), sqrt(4/3)), 40); maple = vpa ('2.019271696236161760696477679310987869058', 40) - ... vpa ('1.708165765120289929280805062355360570830j', 40); assert (abs (double (maple - us)), 0, 2e-39) ***** test % compare to Maple, incomplete us = vpa (ellipticPi (sym(8)/7, sym(4)/3, sym(2)/7), 40); % > evalf(EllipticPi(sin(4/3), 8/7, sqrt(2/7)), 40); maple = vpa ('2.089415796799294830305265090302275542033', 40) - ... vpa ('4.798862045930802761256228043192491271947j', 40); assert (abs (double (maple - us)), 0, 6e-39) 8 tests, 7 passed, 1 known failure, 0 skipped [inst/@sym/ellipticK.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticK.m ***** error ellipticK (sym(1), 2) ***** assert (isequal (ellipticK (sym (0)), sym (pi)/2)) ***** assert (isequal (ellipticK (sym (-inf)), sym (0))) ***** assert (double (ellipticK (sym (1)/2)), 1.854074677, 10e-10) ***** assert (double (ellipticK (sym (pi)/4)), 2.225253684, 10e-10) ***** assert (double (ellipticK (sym (-55)/10)), 0.9324665884, 10e-11) ***** test % compare to double ellipke m = 1/5; ms = sym(1)/5; [K, E] = ellipke (m); assert (double (ellipticK (ms)), K, -1e-15) assert (double (ellipticE (ms)), E, -1e-15) ***** test % compare to double ellipke if (exist ('OCTAVE_VERSION', 'builtin')) m = -10.3; ms = -sym(103)/10; [K, E] = ellipke (m); assert (double (ellipticK (ms)), K, -1e-15) assert (double (ellipticE (ms)), E, -1e-15) end ***** test % compare to Maple us = vpa (ellipticK (sym (7)), 40); % > evalf(EllipticK(sqrt(7)), 40); maple = vpa ('0.6168027921799632674669917683443602673441', 40) - ... vpa ('0.9114898734184488922164103102629560336918j', 40); assert (abs (double (maple - us)), 0, 1e-39) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/ellipticF.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticF.m ***** error ellipticF (sym(1)) ***** error ellipticF (sym(1), 2, 3) ***** assert (double (ellipticF (sym (pi)/3, sym (-105)/10)), 0.6184459461, 10e-11) ***** assert (double (ellipticF (sym (pi)/4, sym (-pi))), 0.6485970495, 10e-11) ***** assert (double (ellipticF (sym (1), sym (-1))), 0.8963937895, 10e-11) ***** assert (double (ellipticF (sym (pi)/6, sym (0))), 0.5235987756, 10e-11) ***** test % compare to Maple us = vpa (ellipticF (sym(11)/10, sym(9)/4), 40); % > evalf(EllipticF(sin(11/10), sqrt(9/4)), 40); maple = vpa ('1.206444996991058996424988192917728014427', 40) - ... vpa ('0.8157358125823472313001683083685348517476j', 40); assert (abs (double (maple - us)), 0, 1e-39) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/ellipticE.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticE.m ***** error ellipticE (sym(1), 2, 3) ***** assert (double (ellipticE (sym (-105)/10)), 3.70961391, 10e-9) ***** assert (double (ellipticE (sym (-pi)/4)), 1.844349247, 10e-10) ***** assert (double (ellipticE (sym (0))), 1.570796327, 10e-10) ***** assert (double (ellipticE (sym (1))), 1, 10e-1) ***** test % compare to Maple us = vpa (ellipticE (sym(7)/6, sym(13)/7), 40); % > evalf(EllipticE(sin(7/6), sqrt(13/7)), 40); maple = vpa ('0.6263078268598504591831743625971763209496', 40) + ... vpa ('0.1775496232203171126975790989055865596501j', 40); assert (abs (double (maple - us)), 0, 2e-39) ***** test % compare to Maple us = vpa (ellipticE (sym(8)/7), 40); % > evalf(EllipticE(sqrt(8/7)), 40); maple = vpa ('0.8717182992576322508542205614105802333270', 40) + ... vpa ('0.1066754320328976949531350910798010526685j', 40); assert (abs (double (maple - us)), 0, 2e-39) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/ellipticCPi.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticCPi.m ***** error ellipticCPi (sym (1)) ***** error ellipticCPi (sym (1), 2, 3) ***** assert (double (ellipticCPi (0, sym (1)/2)), 1.854074677, 10e-10) ***** assert (double (ellipticCPi (sym (6)/10, sym(71)/10)), 1.29469534336658, -20*eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/ellipticCK.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticCK.m ***** error ellipticCK (sym (1), 2) ***** assert (double (ellipticCK (sym (1)/2)), 1.8541, 10e-5) ***** assert (double (ellipticCK (sym (101)/10)), 0.812691836806976, -3*eps) ***** assert (isequal (ellipticCK (sym (1)), sym(pi)/2)) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/ellipticCE.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipticCE.m ***** error ellipticCE (sym (1), 2) ***** assert (isequal (ellipticCE (sym (0)), sym (1))) ***** assert (isequal (ellipticCE (sym (1)), sym (pi)/2)) ***** assert (double (ellipticCE (sym (pi)/4)), 1.482786927, 10e-10) ***** assert (double (ellipticCE (sym (pi)/2)), 1.775344699, 10e-10) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ellipke.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ellipke.m ***** error ellipke (sym(1), 2) ***** test for i = 2:10 [K E] = ellipke (sym (1)/i); [k e] = ellipke (1/i); assert (double ([K E]), [k e], 2*eps) end 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/eig.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/eig.m ***** test % basic A = [1 2; 3 4]; B = sym(A); sd = eig(A); s = eig(B); s2 = double(s); assert (norm(sort(s2) - sort(sd)) <= 10*eps) ***** test % scalars syms x a = sym(-10); assert (isequal (eig(a), a)) assert (isequal (eig(x), x)) ***** test % diag, multiplicity A = diag([6 6 7]); B = sym(A); e = eig(B); assert (isequal (size (e), [3 1])) assert (sum(logical(e == 6)) == 2) assert (sum(logical(e == 7)) == 1) ***** test % matrix with symbols syms x y positive A = [x+9 y; sym(0) 6]; s = eig(A); s = simplify(s); assert (isequal (s, [x+9; 6]) || isequal (s, [6; x+9])) ***** test % eigenvects e = sym([5 5 5 6 7]); A = diag(e); [V, D] = eig(A); assert (isequal (diag(D), e.')) assert (isequal (V, diag(sym([1 1 1 1 1])))) ***** test % alg/geom mult, eigenvects e = sym([5 5 5 6]); A = diag(e); A(1,2) = 1; [V, D] = eig(A); assert (isequal (diag(D), e.')) assert (sum(logical(V(1,:) ~= 0)) == 2) assert (sum(logical(V(2,:) ~= 0)) == 0) assert (sum(logical(V(3,:) ~= 0)) == 1) assert (sum(logical(V(4,:) ~= 0)) == 1) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/ei.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ei.m ***** test syms x f = ei(sym(0)); assert (double(f) == -inf) ***** test D = [1.895117816355937 4.954234356001890]; A = ei(sym([1 2])); assert (all (abs(double(A) - D) < 1e-15)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/dsolve.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/dsolve.m ***** test syms y(x) de = diff(y, 2) - 4*y == 0; f = dsolve(de); syms C1 C2 g1 = C1*exp(-2*x) + C2*exp(2*x); g2 = C2*exp(-2*x) + C1*exp(2*x); assert (isequal (rhs(f), g1) || isequal (rhs(f), g2)) ***** test % Not enough initial conditions syms y(x) C1 de = diff(y, 2) + 4*y == 0; g = 3*cos(2*x) + C1*sin(2*x); try f = dsolve(de, y(0) == 3); waserr = false; catch waserr = true; expectederr = regexp (lasterr (), 'Perhaps.*under-specified'); end assert ((waserr && expectederr) || isequal (rhs(f), g)) ***** test % Solution in implicit form syms y(x) C1 sol=dsolve((2*x*y(x)-exp(-2*y(x)))*diff(y(x),x)+y(x)==0); eq=x*exp(2*y(x))-log(y(x))==C1; assert (isequal (rhs(sol), rhs(eq)) && isequal (lhs(sol), lhs(eq)) ) ***** test % Compute solution and classification syms y(x) C1 [sol,classy]=dsolve((2*x*y(x)-exp(-2*y(x)))*diff(y(x),x)+y(x)==0); eq=x*exp(2*y(x))-log(y(x))==C1; assert (isequal (rhs(sol), rhs(eq)) && isequal (lhs(sol), lhs(eq))) assert (strcmp (classy, '1st_exact')) ***** test % initial conditions (first order ode) syms y(x) de = diff(y, x) + 4*y == 0; f = dsolve(de, y(0) == 3); g = 3*exp(-4*x); assert (isequal (rhs(f), g)) ***** test % initial conditions (second order ode) syms y(x) de = diff(y, 2) + 4*y == 0; f = dsolve(de, y(0) == 3, subs(diff(y,x),x,0)==0); g = 3*cos(2*x); assert (isequal (rhs(f), g)) ***** test % Dirichlet boundary conditions (second order ode) syms y(x) de = diff(y, 2) + 4*y == 0; f = dsolve(de, y(0) == 2, y(1) == 0); g = -2*sin(2*x)/tan(sym('2'))+2*cos(2*x); assert (isequal (rhs(f), g)) ***** test % Neumann boundary conditions (second order ode) syms y(x) de = diff(y, 2) + 4*y == 0; f = dsolve(de, subs(diff(y,x),x,0)==1, subs(diff(y,x),x,1)==0); g = sin(2*x)/2+cos(2*x)/(2*tan(sym('2'))); assert (isequal (rhs(f), g)) ***** test % Dirichlet-Neumann boundary conditions (second order ode) syms y(x) de = diff(y, 2) + 4*y == 0; f = dsolve(de, y(0) == 3, subs(diff(y,x),x,1)==0); g = 3*sin(2*x)*tan(sym('2'))+3*cos(2*x); assert (isequal (rhs(f), g)) ***** test % System of ODEs syms x(t) y(t) C1 C2 ode1 = diff(x(t),t) == 2*y(t); ode2 = diff(y(t),t) == 2*x(t); soln = dsolve([ode1, ode2]); g1 = [2*C1*exp(-2*t) + 2*C2*exp(2*t), -2*C1*exp(-2*t) + 2*C2*exp(2*t)]; g2 = [2*C1*exp(2*t) + 2*C2*exp(-2*t), 2*C1*exp(2*t) - 2*C2*exp(-2*t)]; assert (isequal ([rhs(soln{1}), rhs(soln{2})], g1) || ... isequal ([rhs(soln{1}), rhs(soln{2})], g2)) ***** test % System of ODEs (initial-value problem) syms x(t) y(t) ode_1=diff(x(t),t) == 2*y(t); ode_2=diff(y(t),t) == 2*x(t); sol_ivp=dsolve([ode_1,ode_2],x(0)==1,y(0)==0); g_ivp=[exp(-2*t)/2+exp(2*t)/2,-exp(-2*t)/2+exp(2*t)/2]; assert (isequal ([rhs(sol_ivp{1}),rhs(sol_ivp{2})], g_ivp)) ***** test syms y(x) de = diff(y, 2) + 4*y == 0; f = dsolve(de, y(0) == 0, y(sym(pi)/4) == 1); g = sin(2*x); assert (isequal (rhs(f), g)) ***** test % Nonlinear example syms y(x) C1 e = diff(y, x) == y^2; g = -1 / (C1 + x); soln = dsolve(e); assert (isequal (rhs(soln), g)) ***** test % Nonlinear example with initial condition syms y(x) e = diff(y, x) == y^2; g = -1 / (x - 1); soln = dsolve(e, y(0) == 1); assert (isequal (rhs(soln), g)) ***** xtest % forcing, Issue #183 syms x(t) y(t) ode1 = diff(x) == x + sin(t) + 2; ode2 = diff(y) == y - t - 3; soln = dsolve([ode1 ode2], x(0) == 1, y(0) == 2); X = rhs(soln{1}); Y = rhs(soln{2}); assert (isequal (diff(X) - (X + sin(t) + 2), 0)) assert (isequal (diff(Y) - (Y - t - 3), 0)) !!!!! known failure Python exception: NotImplementedError occurred at line 6 of the Python code block: sol = sp.dsolve(ode, ics=ics2) ***** test if (python_cmd ('return Version(spver) > Version("1.1.1")')) syms f(x) a b de = diff(f, x) == 4*f; s = dsolve(de, f(a) == b); assert (isequal (subs(rhs(s), x, a), b)) end 16 tests, 15 passed, 1 known failure, 0 skipped [inst/@sym/double.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/double.m ***** test % numeric scalar a = double(sym(10)); assert (a == 10) assert (isa (a, 'double')) ***** test % numeric vectors a = double(sym([10 12])); assert (isequal (a, [10 12])) assert (isa (a, 'double')) ***** test % complex a = 3 + 4i; b = sym(a); assert (isequal (double (b), a)) ***** xtest % unexpected, precisely same floating point a = 3 + 4i; b = sym(a); assert (isequal (double (b/pi), a/pi)) ***** test % floating point x = sqrt(sym(2)); assert( abs(double(x) - sqrt(2)) < 2*eps) x = sym(pi); assert( abs(double(x) - pi) < 2*eps) ***** test oo = sym(inf); assert( double(oo) == inf ) assert( double(-oo) == -inf ) assert( isnan(double(0*oo)) ) ***** test zoo = sym('zoo'); assert (double(zoo) == complex(inf, inf)) ***** test zoo = sym('zoo'); assert (double(-zoo) == double(zoo) ) assert( isnan(double(0*zoo)) ) ***** test % nan snan = sym(nan); assert( isnan(double(snan))) ***** test % don't want NaN+NaNi snan = sym(nan); assert (isreal (double (snan))) ***** test % arrays a = [1 2; 3 4]; assert( isequal( double(sym(a)), a )) assert( isequal( double(sym(a)), a )) % should fail with error for non-double ***** error syms x; double(x) ***** error syms x; double([1 2 x]) 13 tests, 13 passed, 0 known failure, 0 skipped [inst/@sym/dot.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/dot.m ***** error dot (sym(1), 2, 3) ***** test a = sym([1; 1; 0]); b = sym([1; 2; 4]); c = dot(a, b); assert (isequal (c, sym(3))) ***** test syms x a = sym([x; 0; 0]); b = sym([0; 1; 0]); c = dot(a, b); assert (isequal (c, sym(0))) ***** test assert (isequal (dot (sym([1 i]), sym([i 2])), sym(-i))) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/divisors.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/divisors.m ***** test assert( isequal( divisors(sym(150)), divisors(sym(-150)) )) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/divergence.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/divergence.m ***** shared x,y,z syms x y z ***** test % 1D f = x^2; assert (isequal (divergence(f), diff(f,x))) assert (isequal (divergence(f,{x}), diff(f,x))) assert (isequal (divergence(f,[x]), diff(f,x))) assert (isequal (divergence(f,x), diff(f,x))) ***** test % const f = [sym(1); 2; exp(sym(3))]; assert (isequal (divergence(f,{x,y,z}), 0)) f = [sym(1); 2; exp(sym('c'))]; assert (isequal (divergence(f,{x,y,z}), 0)) ***** test % double const f = [1 2]; g = sym(0); assert (isequal (divergence(f, [x y]), g)) % should fail, calls @double: divergence(f, {x y}), g)) ***** test % 1D fcn in 2d/3d f = [x y z]; assert (isequal (divergence(f), 3)) assert (isequal (divergence(f, {x,y,z}), 3)) assert (isequal (divergence(f, [x,y,z]), 3)) ***** test % 2d fcn in 2d/3d f = sin(exp(x)*y+sinh(z)); g2 = [diff(f,x); diff(f,y)]; l2 = diff(g2(1),x) + diff(g2(2),y); g3 = [diff(f,x); diff(f,y); diff(f,z)]; l3 = diff(g3(1),x) + diff(g3(2),y) + diff(g3(3),z); assert (isequal (divergence(g2, {x,y}), l2)) assert (isequal (divergence(g3, {x,y,z}), l3)) ***** error divergence ([1 2], [sym('x')]) ***** error divergence ([1 2], sym('x'), 42) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/display.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/display.m ***** test assert(true) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/disp.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/disp.m ***** test syms x s = disp(sin(x)); assert(strcmp(s, sprintf(' sin(x)\n'))) ***** test syms x s = disp(sin(x/2), 'flat'); assert(strcmp(s, sprintf(' sin(x/2)\n'))) ***** test % Examples of 2x0 and 0x2 empty matrices: a = sym([1 2; 3 4]); b2x0 = a([true true], [false false]); b0x2 = a([false false], [true true]); assert (isequal (size (b2x0), [2 0])) assert (isequal (size (b0x2), [0 2])) s = disp(b2x0); assert(strcmp(s, sprintf(' []\n'))) s = disp(b0x2); assert(strcmp(s, sprintf(' []\n'))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/dirac.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/dirac.m ***** error dirac (sym(1), 2) ***** assert (isequaln (dirac (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = dirac(x); f2 = dirac(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = dirac(A); f2 = dirac(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = dirac (d); f = dirac (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/dilog.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/dilog.m ***** assert (isequal (dilog (sym(1)), sym(0))) ***** assert (isequal (dilog (sym(0)), sym(pi)^2/6)) ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) assert (isequal (dilog (sym(2)), -sym(pi)^2/12)) end ***** assert (double(dilog(sym(-1))), pi^2/4 - pi*1i*log(2), eps) ***** test % round-trip if (python_cmd ('return Version(spver) > Version("1.0")')) syms x f = dilog (x); h = function_handle (f); A = h (1.1); B = dilog (1.1); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/diff.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/diff.m ***** shared x,y,z syms x y z ***** test % basic assert(logical( diff(sin(x)) - cos(x) == 0 )) assert(logical( diff(sin(x),x) - cos(x) == 0 )) assert(logical( diff(sin(x),x,x) + sin(x) == 0 )) ***** test % these fail when doubles are not converted to sym assert(logical( diff(sin(x),x,2) + sin(x) == 0 )) assert(logical( diff(sym(1),x) == 0 )) assert(logical( diff(1,x) == 0 )) assert(logical( diff(pi,x) == 0 )) ***** test % symbolic diff of const (w/o variable) fails in sympy, but we work around assert (isequal (diff(sym(1)), sym(0))) ***** test % nth symbolic diff of const assert (isequal (diff(sym(1), 2), sym(0))) assert (isequal (diff(sym(1), sym(1)), sym(0))) ***** test % octave's vector difference still works assert(isempty(diff(1))) assert((diff([2 6]) == 4)) ***** test % other forms f = sin(x); g = diff(f,x,2); assert (isequal (diff(f,2), g)) assert (isequal (diff(f,sym(2)), g)) g = diff(f,x); assert (isequal (diff(f), g)) assert (isequal (diff(f,1), g)) ***** test % old SMT supported (still does?) the 'n' before the 'x' % we might remove this someday, no longer seems documented in SMT f = sin(x); g = diff(f,x,2); assert (isequal (diff(f,2,x), g)) assert (isequal (diff(f,sym(2),x), g)) g = diff(f,x); assert (isequal (diff(f,1,x), g)) ***** test % matrix A = [x sin(x); x*y 10]; B = [1 cos(x); y 0]; assert(isequal(diff(A,x),B)) ***** test % bug: use symvar a = x*y; b = diff(a); assert (isequal (b, y)) ***** test % bug: symvar should be used on the matrix, not comp-by-comp a = [x y x*x]; b = diff(a); assert (~isequal (b(2), 1)) assert (isequal (b, [1 0 2*x])) b = diff(a,1); assert (~isequal (b(2), 1)) assert (isequal (b, [1 0 2*x])) 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@sym/diag.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/diag.m ***** test % scalar syms x assert (isequal (diag(x), x)) ***** test % row,col vec input syms x r = [1 x 2]; c = [sym(1); x]; assert (isequal (diag(diag(c)), c)) assert (isequal (diag(c), [sym(1) 0; 0 x])) assert (isequal (diag(diag(r)), r.')) assert (isequal (diag(r), [sym(1) 0 0; 0 x 0; sym(0) 0 2])) ***** test % create matrix, kth diag syms x r = [1 x]; z = sym(0); assert (isequal (diag (x, 0), x)) assert (isequal (diag (x, 1), [z x; z z])) assert (isequal (diag (x, -1), [z z; x z])) assert (isequal (diag (x, 2), [z z x; z z z; z z z])) assert (isequal (diag (r, 1), [z 1 z; z z x; z z z])) ***** test % extract kth diag A = sym([1 2 3; 4 5 6]); assert (isequal (diag(A), sym([1; 5]))) assert (isequal (diag(A, 0), sym([1; 5]))) assert (isequal (diag(A, 1), sym([2; 6]))) assert (isequal (diag(A, 2), sym(3))) assert (isequal (diag(A, -1), sym(4))) assert (isempty (diag(A, -2))) assert (isempty (diag(A, 3))) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/det.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/det.m ***** assert (isequal (det(sym([])), 1)) ***** test syms x y real assert (isequal (det([x 5; 7 y]), x*y-35)) ***** test syms x assert (isequal (det(x), x)) assert (isequal (det(sym(-6)), sym(-6))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/degree.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/degree.m ***** error degree (sym(1), 2, 3) ***** test syms x assert (isequal (degree(x^3), 3)) assert (isequal (degree(x^3 + 6), 3)) ***** test % specify variable syms x y p = x^2 + y*x + 1; assert (isequal (degree(p), 2)) assert (isequal (degree(p, x), 2)) assert (isequal (degree(p, y), 1)) ***** test syms x a oo assert (isequal (degree(x^3, a), 0)) assert (isequal (degree(sym(1), a), 0)) assert (isequal (degree(sym(0), a), -oo)) ***** xtest % constant inputs syms oo assert (isequal (degree(sym(1)), 0)) assert (isequal (degree(sym(0)), -oo)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/dawson.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/dawson.m ***** test if (exist ('OCTAVE_VERSION', 'builtin')) % dawson missing on Matlab, Issue #742 A = dawson([1 2]); B = double(dawson(sym([1 2]))); assert(A, B, -eps) end 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/curl.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/curl.m ***** shared x,y,z syms x y z ***** test % double const f = [1 2 3]; g = [sym(0); 0; 0]; assert (isequal (curl(f, [x y z]), g)) % should fail, calls @double: curl(f, {x y z}), g)) ***** test % div curl always 0 v = [exp(x); x*y; sin(z)]; g = curl(v); a = divergence(g, [x y z]); assert (isAlways (a == sym(0))) assert (isa (a, 'sym')) g = curl(v, [x y z]); a = divergence(g, [x y z]); assert (isAlways (a == sym(0))) assert (isa (a, 'sym')) ***** test % div curl always 0 v = [exp(x); erfc(x*y); sin(exp(x)*y+sinh(z))]; g = curl(v, [x y z]); a = divergence(g, [x y z]); assert (isAlways (a == sym(0))) assert (isa (a, 'sym')) ***** test % curl grad is vec zero f = sin(exp(x)*y+sinh(z)); g = curl(gradient(f, [x,y,z])); assert (isequal (g, sym([0;0;0]))) ***** test % 2d fcn in 2d/3d u = sin(exp(x)*y); v = x^2*y^3; vorticity2d = diff(v,x) - diff(u,y); omega = curl([u; v; 0], [x y z]); assert (isequal (omega, [0; 0; vorticity2d])) ***** error <3D vector> curl([sym(1) 2 3 4]) ***** error curl([sym(1) 2 3], {sym('x') sym('y') sym('z') sym('t')}) ***** error curl([sym(1) 2 3], 42, 42) 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/ctranspose.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ctranspose.m ***** test x = sym(1); assert (isequal (x', x)) ***** assert (isempty (sym([])')) ***** test % conjugate does nothing to real x syms x real assert (isequal (x', x)) ***** test % complex syms x assert (isequal (x', conj(x))) ***** test % complex array syms x A = [x 2*x]; B = [conj(x); 2*conj(x)]; assert(isequal(A', B)) ***** test A = [1 2; 3 4]; assert(isequal( sym(A)' , sym(A') )) ***** test A = [1 2] + 1i; assert(isequal( sym(A)' , sym(A') )) ***** test % true/false t = sym(true); f = sym(false); assert (isequal ( t', t)) assert (isequal ( f', f)) ***** test % more true/false syms x A = [x true 1i]; B = [conj(x); true; -sym(1i)]; assert (isequal ( A', B)) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/csch.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/csch.m ***** error csch (sym(1), 2) ***** assert (isequaln (csch (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = csch(x); f2 = csch(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = csch(A); f2 = csch(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = csch (d); f = csch (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/csc.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/csc.m ***** error csc (sym(1), 2) ***** assert (isequaln (csc (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = csc(x); f2 = csc(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = csc(A); f2 = csc(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = csc (d); f = csc (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/cross.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cross.m ***** error cross (sym(1), 2, 3) ***** test a = sym([1; 0; 0]); b = sym([0; 1; 0]); c = cross(a, b); assert (isequal (c, sym([0; 0; 1]))) ***** test syms x a = sym([x; 0; 0]); b = sym([0; 1; 0]); c = cross(a, b); assert (isequal (c, sym([0; 0; x]))) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/coth.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/coth.m ***** error coth (sym(1), 2) ***** assert (isequaln (coth (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = coth(x); f2 = coth(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = coth(A); f2 = coth(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = coth (d); f = coth (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/cot.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cot.m ***** error cot (sym(1), 2) ***** assert (isequaln (cot (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = cot(x); f2 = cot(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = cot(A); f2 = cot(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = cot (d); f = cot (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/cosint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cosint.m ***** error cosint (sym(1), 2) ***** xtest assert (isequaln (cosint (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (cosint (sym (nan)), sym (nan))) failed ***** shared x, d d = 1; x = sym('1'); ***** test f1 = cosint(x); f2 = 0.3374039229009681346626; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = cosint(A); f2 = 0.3374039229009681346626; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = cosint (d); f = cosint (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/coshint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/coshint.m ***** error coshint (sym(1), 2) ***** xtest assert (isequaln (coshint (sym(nan)), sym(nan))) !!!!! known failure assert (isequaln (coshint (sym (nan)), sym (nan))) failed ***** shared x, d d = 1; x = sym('1'); ***** test f1 = coshint(x); f2 = 0.8378669409802082408947; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = coshint(A); f2 = 0.8378669409802082408947; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = coshint (d); f = coshint (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 4 passed, 1 known failure, 0 skipped [inst/@sym/cosh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cosh.m ***** error cosh (sym(1), 2) ***** assert (isequaln (cosh (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = cosh(x); f2 = cosh(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = cosh(A); f2 = cosh(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = cosh (d); f = cosh (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/cosd.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cosd.m ***** error cosd (sym(1), 2) ***** assert (isequaln (cosd (sym(nan)), sym(nan))) ***** test f1 = cosd (sym(1)); f2 = cosd (1); assert (double (f1), f2, -eps) ***** test D = [10 30; 110 -45]; A = sym(D); f1 = cosd (A); f2 = cosd (D); assert (double (f1), f2, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/cos.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cos.m ***** error cos (sym(1), 2) ***** assert (isequaln (cos (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = cos(x); f2 = cos(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = cos(A); f2 = cos(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = cos (d); f = cos (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/conj.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/conj.m ***** test a = sym(6); b = sym(5i); assert (isequal (conj(a), a)) assert (isequal (conj(b), -b)) assert (isequal (conj(a+b), a-b)) ***** test syms x assert (isequal (conj(conj(x)), x)) ***** test syms x real assert (isequal (conj(x), x)) ***** test % array syms x A = [x 6+1i; sym(1) x+2i]; B = [conj(x) 6-1i; sym(1) conj(x)-2i]; assert (isequal (conj(A), B)) ***** test % true/false t = sym(true); f = sym(false); assert (isequal ( conj(t), t)) assert (isequal ( conj(f), f)) ***** test % round trip syms x d = 3 - 5i; f = conj (x); A = conj (d); h = function_handle (f); B = h (d); assert (A, B) 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/cond.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cond.m ***** test A = [1 2; 3 4]; B = sym(A); k1 = cond(A); k2 = cond(B); k3 = double(k2); assert (k1 - k3 <= 100*eps) ***** test % matrix with symbols syms x positive A = [x 0; sym(0) 2*x]; k1 = cond(A); assert (isequal (k1, sym(2))) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/columns.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/columns.m ***** test a = sym([1 2 3]); assert (columns(a) == 3) ***** test a = sym([1; 2]); assert (columns(a) == 1) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/colon.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/colon.m ***** test a = sym(1):5; b = sym(1:5); assert(isequal(a,b)); a = 1:sym(5); b = sym(1:5); assert(isequal(a,b)); ***** test a = 2:sym(2):8; b = sym(2:2:8); assert(isequal(a,b)); ***** test a = sym(10):-2:-4; b = sym(10:-2:-4); assert(isequal(a,b)); ***** test % symbolic intervals p = sym(pi); L = 0:p/4:p; assert(isa(L,'sym')); assert(isequal(L, [0 p/4 p/2 3*p/4 p])); ***** test % mixed symbolic and double intervals p = sym(pi); s = warning ('off', 'OctSymPy:sym:rationalapprox'); L = 0.1:(sym(pi)/3):2.3; warning(s) assert(isa(L,'sym')); t = sym(1)/10; assert(isequal(L, [t p/3+t 2*p/3+t])); ***** error syms x; a = 0:x; ***** error syms x; a = 1:x; 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/coeffs.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/coeffs.m ***** error coeffs (sym(1), 2, 3, 4) ***** error coeffs (sym(1), 2, 'al') ***** error coeffs (sym(1), 'al') ***** test % simple syms x [c, t] = coeffs(6*x*x + 27); assert (isequal (c, [6 27])) assert (isequal (t, [x*x 1])) ***** test % specify a variable syms x [c, t] = coeffs(6*x*x + 27, x); assert (isequal (c, [6 27])) assert (isequal (t, [x*x 1])) ***** test % specify another variable syms x y [c, t] = coeffs(6*x + 27, y); assert (isequal (c, 6*x + 27)) assert (isequal (t, 1)) ***** test % weird SMT order syms x a1 = [27 6]; a2 = [6 27]; c = coeffs(6*x*x + 27); assert (isequal (c, a1)) coeffs(6*x*x + 27); assert (isequal (ans, a1)) [c, t] = coeffs(6*x*x + 27); assert (isequal (c, a2)) ***** test % no weird order with "all" syms x c = coeffs(6*x*x + 27, 'all'); assert (isequal (c, [6 0 27])) ***** test % "all" syms x [c, t] = coeffs(6*x*x + 27, 'all'); assert (isequal (c, [6 0 27])) assert (isequal (t, [x^2 x 1])) ***** test % "All" syms x [c, t] = coeffs(6*x, 'All'); assert (isequal (c, [6 0])) assert (isequal (t, [x 1])) ***** test % multivariable array syms x y [c, t] = coeffs(6*x*x + 27*y*x + 36, [x y]); a = [6 27 36]; s = [x^2 x*y 1]; assert (isequal (c, a)) assert (isequal (t, s)) % with list [c, t] = coeffs(6*x*x + 27*y*x + 36, {x y}); assert (isequal (c, a)) assert (isequal (t, s)) ***** test % other symbols treated as part of coeffs syms x y [c, t] = coeffs(6*x*x + 27*y*x + 36, x); a = [6 27*y 36]; s = [x^2 x 1]; assert (isequal (c, a)) assert (isequal (t, s)) ***** error % TODO: multivariate all not working (https://github.com/cbm755/octsympy/issues/720) syms x y [c, t] = coeffs(6*x^2 + 7*y + 19, [x y], 'all'); ***** test % empty same as not specifying; maybe not SMT compatible: % https://github.com/cbm755/octsympy/pull/708#discussion_r94292831 syms x y [c, t] = coeffs(6*x*x + 27*y*x + 36, {}); a = [6 27 36]; assert (isequal (c, a)) [c, t] = coeffs(6*x*x + 27*y*x + 36); assert (isequal (c, a)) ***** test % no input defaults to all symbols (not symvar to get x) syms x y [c, t] = coeffs(6*x*x + 27*y*x + 36); assert (isequal (c, [6 27 36])) ***** test % non sym input syms x assert (isequal (coeffs(6, x), sym(6))) ***** test % constant input without x assert (isequal (coeffs(sym(6)), sym(6))) ***** test % constant input without x assert (isequal (coeffs (sym(6), {}), sym(6))) % irrational coefficients syms x f = x^2 + sqrt(sym(2))*x; [c1, t1] = coeffs (f); [c2, t2] = coeffs (f, x); assert (isequal (c1, c2)) assert (isequal (t1, t2)) 18 tests, 18 passed, 0 known failure, 0 skipped [inst/@sym/chol.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/chol.m ***** error chol (sym ([1 2; 3 4])); ***** error chol (sym ([1 2; 3 4; 5 6])); ***** test A = chol(hilb(sym(2))); B = [[1 0]; sym(1)/2 sqrt(sym(3))/6]; assert( isequal( A, B )) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/children.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/children.m ***** test % basics, sum syms x y f = 2*x + x*x + sin(y); assert (isempty (setxor (children(f), [2*x x*x sin(y)]))) ***** test % basics, product syms x y f = 2*x*sin(y); assert (isempty (setxor (children(f), [2 x sin(y)]))) ***** test % basics, product and powers syms x y f = 2*x^2*y^3; assert (isempty (setxor (children(f), [2 x^2 y^3]))) ***** test % eqn, ineq syms x y lhs = 2*x^2; rhs = y^3 + 7; assert (isequal (children(lhs == rhs), [lhs rhs])) assert (isequal (children(lhs < rhs), [lhs rhs])) assert (isequal (children(lhs >= rhs), [lhs rhs])) ***** test % matrix syms x y f = [4 + y 1 + x; 2 + x 3 + x]; c = children(f); ec = {[4 y], [1 x]; [2 x], [3 x]}; assert (isequal (size(c), size(ec))) for i=1:length(c) assert (isempty (setxor (c{i}, ec{i}))) end ***** test % matrix, sum/prod syms x y f = [x + y; x*sin(y); sin(x)]; ec = {[x y]; [x sin(y)]; [x]}; c = children(f); assert (isequal (size(c), size(ec))) for i=1:length(c) assert (isempty (setxor (c{i}, ec{i}))) end ***** test % scalar symbol syms x assert (isequal (children(x), x)) ***** test % scalar number x = sym(6); assert (isequal (children(x), x)) ***** test % symbolic size matrix syms n m integer A = sym('a', [n m]); assert (isequal (children(A), [sym('a') n m])) 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/chebyshevU.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/chebyshevU.m ***** error chebyshevU (sym(1)) ***** error chebyshevU (sym(1), 2, 3) ***** assert (isequaln (chebyshevU (2, sym(nan)), sym(nan))) ***** shared x syms x ***** assert(isequal(chebyshevU(0, x), sym(1))) ***** assert(isequal(chebyshevU(1, x), 2*x)) ***** assert(isequal(chebyshevU(2, x), 4*x*x - 1)) ***** assert(isequal(chebyshevU([0 1 2], x), [sym(1) 2*x (4*x*x-1)])) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.2")')) syms n z f = chebyshevU (n, z); h = function_handle (f, 'vars', [n z]); A = h (1.1, 2.2); B = chebyshevU (1.1, 2.2); assert (A, B) end 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/chebyshevT.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/chebyshevT.m ***** error chebyshevT (sym(1)) ***** error chebyshevT (sym(1), 2, 3) ***** assert (isequaln (chebyshevT (2, sym(nan)), sym(nan))) ***** shared x syms x ***** assert(isequal(chebyshevT(0, x), sym(1))) ***** assert(isequal(chebyshevT(1, x), x)) ***** assert(isequal(chebyshevT(2, x), 2*x*x - 1)) ***** assert(isequal(chebyshevT([0 1 2], x), [sym(1) x (2*x*x-1)])) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.2")')) syms n z f = chebyshevT (n, z); h = function_handle (f, 'vars', [n z]); A = h (1.1, 2.2); B = chebyshevT (1.1, 2.2); assert (A, B) end 8 tests, 8 passed, 0 known failure, 0 skipped [inst/@sym/charpoly.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/charpoly.m ***** error charpoly (sym (1), 1, 2) ***** error charpoly (sym ([1 2])) ***** test syms x A = sym([1 2; 3 4]); assert (isequal (charpoly(A, x), x^2 - 5*x -2)) ***** test syms x A = sym([1 2; 3 4]); B = sym([1 -5 -2]); assert (isequal (charpoly(A), B)) ***** test syms x A = sym([x x; x x]); B = sym([1 -2*x 0]); assert (isequal (charpoly(A), B)) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/char.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/char.m ***** test % issue #91: expose as string a = sym(pi); assert (strcmp (char (a), 'pi')) ***** shared x x = sym('x'); ***** assert (strcmp (char (x), 'x')) ***** assert (strcmp (char (2*x), '2*x')) ***** assert (strcmp (char ([2*x x]), 'Matrix([[2*x, x]])')) ***** assert (strcmp (char ([2*x 2; 1 x]), 'Matrix([[2*x, 2], [1, x]])')) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ceil.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ceil.m ***** error ceil (sym(1), 2) ***** assert (isequaln (ceil (sym(nan)), sym(nan))) ***** shared x, d d = 3/2; x = sym('3/2'); ***** test f1 = ceil(x); f2 = ceil(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = ceil(A); f2 = ceil(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = ceil (d); f = ceil (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/ccode.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/ccode.m ***** shared x,y,z syms x y z ***** test % basic test f = x*sin(y) + abs(z); source = ccode(f); expected = 'x*sin(y) + fabs(z)'; assert(strcmp(source, expected)) ***** test % output test f = x*sin(y) + abs(z); [C, H] = ccode(f, 'file', '', 'show_header', false); expected_c_code = sprintf('#include \"file.h\"\n#include \n\ndouble myfun(double x, double y, double z) {\n\n double myfun_result;\n myfun_result = x*sin(y) + fabs(z);\n return myfun_result;\n\n}\n'); expected_h_code = sprintf('\n#ifndef PROJECT__FILE__H\n#define PROJECT__FILE__H\n\ndouble myfun(double x, double y, double z);\n\n#endif\n\n'); assert(strcmp(C.name, 'file.c')) assert(strcmp(H.name, 'file.h')) hwin = strrep(expected_h_code, sprintf('\n'), sprintf('\r\n')); assert (strcmp (H.code, expected_h_code) || strcmp (H.code, hwin)) s1 = expected_c_code; s2 = strrep(expected_c_code, sprintf('\n'), sprintf('\r\n')); assert (strcmp (C.code, s1) || strcmp (C.code, s2)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/cbrt.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cbrt.m ***** error cbrt (sym(1), 2) ***** assert (isequaln (cbrt (sym(nan)), sym(nan))) ***** shared x, d d = 2; x = sym('2'); ***** test f1 = cbrt(x); f2 = 1.2599210498948731647; assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = cbrt(A); f2 = 1.2599210498948731647; f2 = [f2 f2; f2 f2]; assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); if (exist ('OCTAVE_VERSION', 'builtin')) A = cbrt (d); else % Issue #742 A = d^(1/3); end f = cbrt (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/cat.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/cat.m ***** test % mostly tested in horzcat, vertcat: one for good measure syms x assert (isequal (cat(1, x, x), [x x])) assert (isequal (cat(2, x, x), [x; x])) ***** error cat(3, sym(2), sym(3)) ***** error cat(0, sym(2), sym(3)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/beta.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/beta.m ***** error beta (sym(1), 2, 3) ***** assert (isequal (double (beta (sym(1), 2)), 1/2)) ***** assert (isinf (double (beta (sym(1), 0)))) ***** test % round trip if (python_cmd('return Version(spver) > Version("1.2")')) syms x y f = beta (x, y); h = function_handle (f); A = h (1.1, 2.2); B = beta (1.1, 2.2); assert (A, B) end 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/besselyn.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/besselyn.m ***** test % roundtrip syms x A = double(besselyn(sym(2), sym(10))); q = besselyn(sym(2), x); h = function_handle(q); B = h(10); assert (abs (A - B) <= eps) ***** error yn(sym('x')) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/bessely.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/bessely.m ***** test X = [1 2 3; 4 5 6]; ns = [sym(0) 1 -2; sym(1)/2 -sym(3)/2 pi]; n = double(ns); A = double(bessely(ns, X)); B = bessely(n, X); assert (all (all (abs (A - B) < 50*eps*abs(A)))) ***** test % roundtrip syms x A = bessely(2, 10); q = bessely(2, x); h = function_handle(q); B = h(10); assert (abs (A - B) <= eps*abs(A)) ***** error bessely(sym('x')) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/besselk.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/besselk.m ***** test X = [1 2 3; 4 5 6]; ns = [sym(0) 1 -2; sym(1)/2 -sym(3)/2 pi]; n = double(ns); A = double(besselk(ns, X)); B = besselk(n, X); assert (all (all (abs (A - B) < 2*eps*abs(A)))) ***** test % roundtrip syms x A = besselk(2, 10); q = besselk(2, x); h = function_handle(q); B = h(10); assert (abs (A - B) <= eps*abs(A)) ***** error besselk(sym('x')) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/besseljn.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/besseljn.m ***** test % roundtrip syms x A = double(besseljn(sym(2), sym(9))); q = besseljn(sym(2), x); h = function_handle(q); B = h(9); assert (abs (A - B) <= eps) ***** error jn(sym('x')) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/besselj.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/besselj.m ***** test X = [1 2 3; 4 5 6]; ns = [sym(0) 1 -2; sym(1)/2 -sym(3)/2 pi]; n = double(ns); A = double(besselj(ns, X)); B = besselj(n, X); assert (all (all (abs (A - B) < 50*eps*abs(A)))) ***** test % roundtrip syms x A = besselj(2, 10); q = besselj(2, x); h = function_handle(q); B = h(10); assert (abs (A - B) <= eps*abs(A)) ***** error besselj(sym('x')) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/besseli.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/besseli.m ***** test X = [1 2 3; 4 5 6]; ns = [sym(0) 1 -2; sym(1)/2 -sym(3)/2 pi]; n = double(ns); A = double(besseli(ns, X)); B = besseli(n, X); assert (all (all (abs (A - B) < 100*eps*abs(A)))) ***** test % roundtrip syms x A = besseli(2, 10); q = besseli(2, x); h = function_handle(q); B = h(10); assert (abs (A - B) <= eps*abs(A)) ***** error besseli(sym('x')) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/besselh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/besselh.m ***** test % default to k=1 syms z a A = besselh(a, z); B = besselh(a, 1, z); assert (isequal (A, B)) ***** error besselh(sym('z')) ***** error besselh(2, 0, sym('z')) ***** error besselh(2, 3, sym('z')) ***** test % doubles, relative error X = [1 2 pi; 4i 5 6+6i]; Xs = sym(X); Alpha = [pi 3 1; 3 2 0]; Alphas = sym(Alpha); for k = 1:2 A = double(besselh(Alphas, k, Xs)); B = besselh(Alpha, k, X); assert (all (all (abs(A - B) < 10*eps*abs(A)))) end ***** test % round-trip syms x for k = 1:2 A = besselh(4, k, 10); q = besselh(4, k, x); h = function_handle(q); B = h(10); assert (abs(A - B) <= eps*abs(A)) end 6 tests, 6 passed, 0 known failure, 0 skipped [inst/@sym/bernoulli.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/bernoulli.m ***** error bernoulli (sym(1), 2, 3) ***** assert (isequal (bernoulli (sym(8)), -sym(1)/30)) ***** assert (isequal (bernoulli (sym(9)), sym(0))) ***** test syms x assert (isequal (bernoulli(3,x), x^3 - 3*x^2/2 + x/2)) ***** test m = sym([0 1; 8 888889]); A = bernoulli (m); B = [1 -sym(1)/2; -sym(1)/30 0]; assert (isequal (A, B)) ***** test syms x A = bernoulli ([0; 1], x); B = [sym(1); x - sym(1)/2]; assert (isequal (A, B)) ***** test % round trip if (python_cmd('return Version(spver) > Version("1.2")')) syms n x f = bernoulli (n, x); h = function_handle (f, 'vars', [n x]); A = h (2, 2.2); B = bernoulli (2, 2.2); assert (A, B) end 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/atanh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/atanh.m ***** error atanh (sym(1), 2) ***** assert (isequaln (atanh (sym(nan)), sym(nan))) ***** shared x, d d = 1/2; x = sym('1/2'); ***** test f1 = atanh(x); f2 = atanh(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = atanh(A); f2 = atanh(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = atanh (d); f = atanh (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/atand.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/atand.m ***** error atand (sym(1), 2) ***** assert (isequaln (atand (sym(nan)), sym(nan))) ***** test f1 = atand (sym(1)/2); f2 = atand (1/2); assert (double (f1), f2, -eps) ***** test D = [1 2; 3 4]/4; A = sym([1 2; 3 4])/4; f1 = atand (A); f2 = atand (D); assert (double (f1), f2, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/atan2.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/atan2.m ***** test % some angles e = sym(1); a = atan2(0, e); assert (isequal (a, sym(0))) a = atan2(e, 0); assert (isequal (a, sym(pi)/2)) ***** test % symbols can give numerical answer syms x positive a = atan2(0, x); assert (isequal (a, sym(0))) a = atan2(x, 0); assert (isequal (a, sym(pi)/2)) a = atan2(-x, 0); assert (isequal (a, -sym(pi)/2)) ***** test % matrices x = sym([1 -2; 0 0]); y = sym([0 0; 8 -3]); a = atan2(y, x); sp = sym(pi); aex = [0 sp; sp/2 -sp/2]; assert (isequal (a, aex)) ***** test % round trip syms x y xd = -2; yd = -3; f = atan2 (x, y); A = atan2 (xd, yd); h = function_handle (f); B = h (xd, yd); assert (A, B, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/atan.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/atan.m ***** error atan (sym(1), 2) ***** assert (isequaln (atan (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = atan(x); f2 = atan(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = atan(A); f2 = atan(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = atan (d); f = atan (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/assumeAlso.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/assumeAlso.m ***** test syms x x = assumeAlso(x, 'positive'); a = assumptions(x); assert(strcmp(a, 'x: positive')) ***** error syms x x = assumeAlso (x, x); ***** test syms x positive x = assumeAlso(x, 'integer'); [tilde, a] = assumptions(x, 'dict'); assert(a{1}.integer) assert(a{1}.positive) ***** test % multiple assumptions syms x positive x = assumeAlso(x, 'integer', 'even'); [tilde, a] = assumptions(x, 'dict'); assert(a{1}.integer) assert(a{1}.positive) assert(a{1}.even) ***** test % multiple assumptions syms x integer x = assumeAlso (x, 'even', 'positive'); [tilde, a] = assumptions (x, 'dict'); assert (a{1}.integer) assert (a{1}.even) assert (a{1}.positive) ***** test % has output so avoids workspace syms x positive x2 = x; f = sin(x); assumeAlso(x, 'integer'); a = assumptions(x); assert(strcmp(a, 'x: positive, integer') || strcmp(a, 'x: integer, positive')) a = assumptions(x2); assert(strcmp(a, 'x: positive, integer') || strcmp(a, 'x: integer, positive')) a = assumptions(f); assert(strcmp(a, 'x: positive, integer') || strcmp(a, 'x: integer, positive')) ***** test % has no output so does workspace syms x positive x2 = x; f = sin(x); assumeAlso(x, 'integer'); a = assumptions(x); assert(strcmp(a, 'x: positive, integer') || strcmp(a, 'x: integer, positive')) a = assumptions(x2); assert(strcmp(a, 'x: positive, integer') || strcmp(a, 'x: integer, positive')) a = assumptions(f); assert(strcmp(a, 'x: positive, integer') || strcmp(a, 'x: integer, positive')) ***** error syms a assumeAlso (a > 0) ***** test syms x y assumeAlso ([x y], 'even') assert (strcmp (assumptions (x), 'x: even')) assert (strcmp (assumptions (y), 'y: even')) ***** test syms x y positive f = sin (2*x); assumeAlso ([x y], 'even') assert (strcmp (assumptions (x), 'x: even, positive') || strcmp (assumptions (x), 'x: positive, even')) assert (strcmp (assumptions (y), 'y: even, positive') || strcmp (assumptions (y), 'y: positive, even')) assert (strcmp (assumptions (f), 'x: even, positive') || strcmp (assumptions (f), 'x: positive, even')) ***** test % with output, original x and y are unchanged syms x y positive f = sin (2*x); [p, q] = assumeAlso ([x y], 'even'); assert (strcmp (assumptions (x), 'x: positive')) assert (strcmp (assumptions (y), 'y: positive')) assert (strcmp (assumptions (f), 'x: positive')) assert (strcmp (assumptions (p), 'x: even, positive') || strcmp (assumptions (p), 'x: positive, even')) assert (strcmp (assumptions (q), 'y: even, positive') || strcmp (assumptions (q), 'y: positive, even')) 11 tests, 11 passed, 0 known failure, 0 skipped [inst/@sym/assume.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/assume.m ***** test syms x x = assume(x, 'positive'); a = assumptions(x); assert(strcmp(a, 'x: positive')) x = assume(x, 'even'); a = assumptions(x); assert(strcmp(a, 'x: even')) x = assume(x, 'odd'); a = assumptions(x); assert(strcmp(a, 'x: odd')) ***** error syms x x = assume (x, x); ***** error syms x x = assume (x/pi, 'integer') ***** test % multiple assumptions syms x x = assume(x, 'positive', 'integer'); [tilde, a] = assumptions(x, 'dict'); assert(a{1}.integer) assert(a{1}.positive) ***** test % multiple assumptions syms x x = assume(x, 'even', 'positive'); [tilde, a] = assumptions(x, 'dict'); assert(a{1}.even) assert(a{1}.positive) ***** test % has output so avoids workspace syms x positive x2 = x; f = sin(x); x = assume(x, 'negative'); a = assumptions(x); assert(strcmp(a, 'x: negative')) a = assumptions(x2); assert(strcmp(a, 'x: positive')) a = assumptions(f); assert(strcmp(a, 'x: positive')) ***** test % clear: has output so avoids workspace syms x positive f = 2*x; x2 = assume(x, 'clear'); assert (~ isempty (assumptions (f))); ***** test % has no output so does workspace syms x positive x2 = x; f = sin(x); assume(x, 'negative'); a = assumptions(x); assert(strcmp(a, 'x: negative')) a = assumptions(x2); assert(strcmp(a, 'x: negative')) a = assumptions(f); assert(strcmp(a, 'x: negative')) ***** test % clear: has not output so does workspace syms x positive f = 2*x; assume(x, 'clear'); assert (isempty (assumptions (f))); assert (isempty (assumptions ())); ***** test syms x positive assume (x, 'clear') assert (isempty (assumptions ())) ***** error syms x x2 = assume (x, 'clear', 'real'); ***** error syms a assume (a > 0) ***** test syms x y assume ([x y], 'real') assert (strcmp (assumptions (x), 'x: real')) assert (strcmp (assumptions (y), 'y: real')) ***** test syms x y assume ([x y], 'positive', 'even') assert (strcmp (assumptions (x), 'x: positive, even') || strcmp (assumptions (x), 'x: even, positive')) assert (strcmp (assumptions (y), 'y: positive, even') || strcmp (assumptions (y), 'y: even, positive')) ***** test % with output, original x and y are unchanged syms x y [p, q] = assume ([x y], 'real'); assert (isempty (assumptions (x))) assert (isempty (assumptions (y))) assert (strcmp (assumptions (p), 'x: real')) assert (strcmp (assumptions (q), 'y: real')) ***** test % matrix input syms a b c d assume ([a b; c d], 'real') assert (strcmp (assumptions (a), 'a: real')) assert (strcmp (assumptions (b), 'b: real')) assert (strcmp (assumptions (c), 'c: real')) assert (strcmp (assumptions (d), 'd: real')) 16 tests, 16 passed, 0 known failure, 0 skipped [inst/@sym/asinh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/asinh.m ***** error asinh (sym(1), 2) ***** assert (isequaln (asinh (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = asinh(x); f2 = asinh(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = asinh(A); f2 = asinh(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = asinh (d); f = asinh (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/asind.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/asind.m ***** error asind (sym(1), 2) ***** assert (isequaln (asind (sym(nan)), sym(nan))) ***** test f1 = asind (sym(1)/2); f2 = asind (1/2); assert (double (f1), f2, -eps) ***** test D = [1 2; 3 4]/4; A = sym([1 2; 3 4])/4; f1 = asind (A); f2 = asind (D); assert (double (f1), f2, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/asin.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/asin.m ***** error asin (sym(1), 2) ***** assert (isequaln (asin (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = asin(x); f2 = asin(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = asin(A); f2 = asin(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = asin (d); f = asin (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/asech.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/asech.m ***** error asech (sym(1), 2) ***** assert (isequaln (asech (sym(nan)), sym(nan))) ***** shared x, d d = 1/2; x = sym('1/2'); ***** test f1 = asech(x); f2 = asech(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = asech(A); f2 = asech(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = asech (d); f = asech (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/asec.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/asec.m ***** error asec (sym(1), 2) ***** assert (isequaln (asec (sym(nan)), sym(nan))) ***** shared x, d d = 2; x = sym('2'); ***** test f1 = asec(x); f2 = asec(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = asec(A); f2 = asec(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = asec (d); f = asec (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/argnames.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/argnames.m ***** test % basic tests syms x f = 2*x; assert (isempty (argnames(x))) assert (isempty (argnames(f))) 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/arg.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/arg.m ***** test syms x assert (isequal (angle (x), arg (x))); 1 test, 1 passed, 0 known failure, 0 skipped [inst/@sym/any.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/any.m ***** test % matrix a = [0 0; 1 0]; s = sym(a); assert (isequal (any (s), any (a))) assert (isequal (any (s,1), any (a,1))) assert (isequal (any (s,2), any (a,2))) ***** test % vector a = [0 1 0]; s = sym(a); assert (isequal (any (s), any (a))) assert (isequal (any (s,1), any (a,1))) assert (isequal (any (s,2), any (a,2))) ***** test % should fail on symbols syms x s = [0 1 x]; try any (s) waserr = false; catch waserr = true; end assert (waserr) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/angle.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/angle.m ***** test Z = [sqrt(sym(3)) + 3*sym(i), 3 + sqrt(sym(3))*sym(i); 1 + sym(i), sym(i)]; Q = [sym(pi)/3 sym(pi)/6; sym(pi)/4 sym(pi)/2]; assert( isequal( angle(Z), Q)); ***** test % roundtrip if (python_cmd ('return Version(spver) > Version("1.1.1")')) syms x A = angle (2+2i); f = angle (x); h = function_handle (f); B = h (2+2i); assert (A, B, -eps) end 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/and.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/and.m ***** shared t, f t = sym(true); f = sym(false); ***** test % simple assert (isequal (t & f, f)) assert (isequal (t & t, t)) ***** test % mix wih nonsym assert (isequal (t & false, f)) assert (isequal (t & true, t)) assert (isequal (t & 0, f)) assert (isequal (t & 1, t)) assert (isa (t & false, 'sym')) assert (isa (t & 1, 'sym')) ***** test % array w = [t t f f]; z = [t f t f]; assert (isequal (w & z, [t f f f])) ***** test % number assert (isequal( sym(1) & t, t)) assert (isequal( sym(0) & t, f)) ***** test % output is sym even for scalar t/f assert (isa (t & f, 'sym')) ***** test % eqns, exclusive syms x e = (x == 3) & (x^2 == 9); assert (isequal (subs(e, x, [-3 0 3]), [f f t])) ***** error and (sym('x'), 2, 3) 7 tests, 7 passed, 0 known failure, 0 skipped [inst/@sym/all.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/all.m ***** test % matrix a = [0 3; 1 2]; s = sym (a); assert (isequal (all (s), all (a))) assert (isequal (all (s,1), all (a,1))) assert (isequal (all (s,2), all (a,2))) ***** test % vector a = [1 2 3]; s = sym (a); assert (isequal (all (s), all (a))) assert (isequal (all (s,1), all (a,1))) assert (isequal (all (s,2), all (a,2))) ***** test % should fail on symbols syms x s = [1 2 x]; try all (s) waserr = false; catch waserr = true; end assert (waserr) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@sym/airy.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/airy.m ***** test syms z a = airy(0, z); ap = airy(1, z); assert (isequal (diff (a), ap)) assert (isequal (diff (ap), z*a)) ***** test syms z b = airy(2, z); bp = airy(3, z); assert (isequal (diff (b), bp)) assert (isequal (diff (bp), z*b)) ***** test % default to k=0 syms z a = airy(0, z); a2 = airy(z); assert (isequal (a, a2)) ***** error airy(0, sym('x'), 2) ***** error airy(4, sym('z')) ***** error airy(-1, sym('z')) ***** test % symbolic k syms z b1 = airy(2, z); b2 = airy(sym(2), z); assert (isequal (b1, b2)) ***** test % doubles, relative error X = [1 2 pi; 4i 5 6+6i]; Xs = sym(X); for k = 0:3 A = double(airy(k, Xs)); B = airy(k, X); assert (all (all (abs(A - B) < 500*eps*abs(A)))) end ***** test % round-trip syms x for k = 0:3 A = airy(k, 10); q = airy(k, x); h = function_handle(q); B = h(10); assert (abs(A-B) < 500*eps*abs(A)) end 9 tests, 9 passed, 0 known failure, 0 skipped [inst/@sym/adjoint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/adjoint.m ***** test syms x A = [x x^2; x^3 x^4]; B = [x^4 -x^2; -x^3 x]; assert( isequal( adjoint(A), B )) ***** test syms x assert( isequal( adjoint(x), 1)) 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@sym/acsch.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acsch.m ***** error acsch (sym(1), 2) ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) assert (isequaln (acsch (sym(nan)), sym(nan))) end ***** shared x, d d = 1; x = sym('1'); ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) f1 = acsch(x); f2 = acsch(d); assert( abs(double(f1) - f2) < 1e-15 ) end ***** test if (python_cmd ('return Version(spver) > Version("1.0")')) D = [d d; d d]; A = [x x; x x]; f1 = acsch(A); f2 = acsch(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) end ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = acsch (d); f = acsch (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/acsc.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acsc.m ***** error acsc (sym(1), 2) ***** assert (isequaln (acsc (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = acsc(x); f2 = acsc(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = acsc(A); f2 = acsc(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip if (python_cmd ('return Version(spver) > Version("1.0")')) y = sym('y'); A = acsc (d); f = acsc (y); h = function_handle (f); B = h (d); assert (A, B, -eps) end 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/acoth.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acoth.m ***** error acoth (sym(1), 2) ***** assert (isequaln (acoth (sym(nan)), sym(nan))) ***** shared x, d d = 2; x = sym('2'); ***** test f1 = acoth(x); f2 = acoth(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = acoth(A); f2 = acoth(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = acoth (d); f = acoth (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/acot.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acot.m ***** error acot (sym(1), 2) ***** assert (isequaln (acot (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = acot(x); f2 = acot(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = acot(A); f2 = acot(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = acot (d); f = acot (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/acosh.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acosh.m ***** error acosh (sym(1), 2) ***** assert (isequaln (acosh (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = acosh(x); f2 = acosh(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = acosh(A); f2 = acosh(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = acosh (d); f = acosh (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/acosd.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acosd.m ***** error acosd (sym(1), 2) ***** assert (isequaln (acosd (sym(nan)), sym(nan))) ***** test f1 = acosd (sym(1)/2); f2 = acosd (1/2); assert (double (f1), f2, -eps) ***** test D = [1 2; 3 4]/4; A = sym([1 2; 3 4])/4; f1 = acosd (A); f2 = acosd (D); assert (double (f1), f2, -eps) 4 tests, 4 passed, 0 known failure, 0 skipped [inst/@sym/acos.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/acos.m ***** error acos (sym(1), 2) ***** assert (isequaln (acos (sym(nan)), sym(nan))) ***** shared x, d d = 1; x = sym('1'); ***** test f1 = acos(x); f2 = acos(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = acos(A); f2 = acos(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = acos (d); f = acos (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@sym/abs.m] >>>>> /build/octave-symbolic-2.7.1/inst/@sym/abs.m ***** error abs (sym(1), 2) ***** assert (isequaln (abs (sym(nan)), sym(nan))) ***** shared x, d d = -1; x = sym('-1'); ***** test f1 = abs(x); f2 = abs(d); assert( abs(double(f1) - f2) < 1e-15 ) ***** test D = [d d; d d]; A = [x x; x x]; f1 = abs(A); f2 = abs(D); assert( all(all( abs(double(f1) - f2) < 1e-15 ))) ***** test % round trip y = sym('y'); A = abs (d); f = abs (y); h = function_handle (f); B = h (d); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@logical/isAlways.m] >>>>> /build/octave-symbolic-2.7.1/inst/@logical/isAlways.m ***** error isAlways (true, false) ***** assert(isAlways(true)) ***** assert(~isAlways(false)) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/pochhammer.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/pochhammer.m ***** error pochhammer ([1 2], [1 2 3]) ***** error pochhammer ([1 2], [1; 2]) ***** error pochhammer (1, 2, 3) ***** error pochhammer (1) ***** test y = sym(11)/10; t = sym(3); x = 1.1; s = 3; A = pochhammer (x, s); B = double (pochhammer (y, t)); assert (A, B, -2*eps); ***** test % maple A = 256.798558090310131720; B = pochhammer (18.1, 1.9); assert (A, B, -20*eps) ***** test % maple, complex inputs> A = 2.67921619474318221972 + 1.96716724764630702653*1i; B = pochhammer (12.1+3.1*i, 0.5+0.2i); assert (A, B, -4*eps); ***** test % maple, matrix inputs A = [5.61467232547723663908 20.6144884613920190965]; B = pochhammer ([0.9 0.8], [3.1 4.2]); assert (A, B, -3*eps); ***** xtest % broken upstream, https://github.com/sympy/sympy/issues/14822 % x matrix, s scalar y = [1 2 sym(pi); exp(sym(1)) 5 6]; t = sym(2); x = double (y); s = 2; A = pochhammer (s, x); B = double (pochhammer (t, y)); assert (A, B, -eps); !!!!! known failure ASSERT errors for: assert (A,B,-eps) Location | Observed | Expected | Reason (2,1) 15.8429 15.8429 Rel err 2.2425e-16 exceeds tol 2.2204e-16 by 2e-18 (1,3) 29.7701 29.7701 Rel err 2.3868e-16 exceeds tol 2.2204e-16 by 2e-17 ***** test % s matrix, x scalar t = [1 2 sym(pi); exp(sym(1)) 5 6]; y = sym(2); s = double (t); x = 2; A = pochhammer (s, x); B = double (pochhammer (t, y)); assert (A, B, -5*eps); 10 tests, 9 passed, 1 known failure, 0 skipped [inst/@double/zeta.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/zeta.m ***** error zeta (1, 2, 3) ***** assert (isnan (zeta (nan))) ***** test x = 1.1; y = sym(11)/10; A = zeta (x); B = double (zeta (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = zeta (x); B = double (zeta (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(Zeta(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 0.59816556976238173670 - 0.35185474521784529050*1i 0.21425967567391921717 + 0.52503846985036050707*1i 1.0 1.7564685929749629608 - 0.10151198543617116894*1i -0.49990811617645824900 - 0.91873792757763831501e-6*1i 175.09070083717643866 - 71.512541417467273425*1i ]; B = zeta (x); assert (A, B, -eps) 5 tests, 5 passed, 0 known failure, 0 skipped [inst/@double/sinint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/sinint.m ***** test x = 1.1; y = sym(11)/10; A = sinint (x); B = double (sinint (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = sinint (x); B = double (sinint (y)); assert (A, B, -4*eps); ***** assert (sinint (0), 0) ***** assert (sinint (inf), pi/2) ***** assert (sinint (-inf), -pi/2) ***** assert (sinint (1), 0.9460830703671830149414, -2*eps) ***** assert (sinint (-1), -0.9460830703671830149414, -2*eps) ***** assert (sinint (pi), 1.851937051982466170361, -2*eps) ***** assert (sinint (-pi), -1.851937051982466170361, -2*eps) ***** assert (sinint (300), 1.5708810882137495193, -2*eps) ***** assert (sinint (1e4), 1.5708915453859619157, -2*eps) ***** assert (sinint (20i), 1.2807826332028294459e7*1i, -2*eps) ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(Si(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 1.6782404878293681180 + 2.0396845546022061045*1i -18.154174221650281533 + 1.6146414539230479060*1i 1.5622254668890562934 1246.1144901994233444*1i -0.000099999999944461111128 + 0.99999999833338888972e-6*1i -1.5386156269726011209 - 0.053969388020443786229*1i ]; B = sinint (x); assert (A, B, -eps) 13 tests, 13 passed, 0 known failure, 0 skipped [inst/@double/sinhint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/sinhint.m ***** test x = 1.1; y = sym(11)/10; A = sinhint (x); B = double (sinhint (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = sinhint (x); B = double (sinhint (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(Shi(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 0.45769171128668800567 + 1.8332099215048436239*1i 0.60888490416819746440 + 1.2482232175376056201*1i 0.13577763724269399110e42 1.6583475942188740493*1i -0.00010000000005553888891 + 0.10000000016666111119e-5*1i -0.74701205140887967022e7 - 0.10381447401236722090e8*1i ]; B = sinhint (x); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/polylog.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/polylog.m ***** error polylog ([1 2], [1 2 3]) ***** error polylog ([1 2], [1; 2]) ***** error polylog (1, 2, 3) ***** error polylog (1) ***** test y = sym(11)/10; t = sym(2); x = 1.1; s = 2; A = polylog (s, x); B = double (polylog (t, y)); assert (A, B, -eps); ***** test % maple A = 2.3201804233130983964 - 3.4513922952232026614*1i; B = polylog (2, 3); assert (A, B, -eps) ***** test % maple, complex inputs A = -11.381456201167411758 + 6.2696695219721651947*1i; B = polylog (1+2i, 3+4i); assert (A, B, -eps); ***** test % maple, matrix inputs A1 = 0.47961557317612748431 - 0.52788287823025778869*1i; A2 = -0.0049750526563452645369 - 0.024579343612396884851*1i; B = polylog ([-1-2i -3], [30+40i 40i]); assert ([A1 A2], B, -eps); ***** test % x matrix, s scalar y = [1 2 sym(pi); exp(sym(1)) 5 6]; t = sym(2); x = double (y); s = 2; A = polylog (s, x); B = double (polylog (t, y)); assert (A, B, -eps); ***** test % s matrix, x scalar t = [1 2 sym(pi); exp(sym(1)) 5 6]; y = sym(2); s = double (t); x = 2; A = polylog (s, x); B = double (polylog (t, y)); assert (A, B, -eps); 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@double/logint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/logint.m ***** test x = 1.1; y = sym(11)/10; A = logint (x); B = double (logint (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = logint (x); B = double (logint (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(Li(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 1.3876787420229375511 + 2.5087546988592328752*1i 1.6987684473874802274 + 4.5936366057115204667*1i 30.126141584079629926 3.4936715673748995398 + 5.5260023797127391973*1i 0.90264689772681592152e-5 + 3.1415953634267361942*1i -2.3996350854560916779 - 7.6971739096353664559*1i ]; B = logint (x); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/harmonic.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/harmonic.m ***** test x = 1.1; y = sym(11)/10; A = harmonic (x); B = double (harmonic (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = harmonic (x); B = double (harmonic (y)); assert (A, B, -4*eps); 2 tests, 2 passed, 0 known failure, 0 skipped [inst/@double/fresnels.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/fresnels.m ***** test x = 1.1; y = sym(11)/10; A = fresnels (x); B = double (fresnels (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = fresnels (x); B = double (fresnels (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(FresnelS(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 36.725464883991438430 + 15.587751104404587334*1i 0.12213736710980573217e13 - 0.47688568479924574726e12*1i 0.49681690114783755327 -0.46816997858488224040*1i -0.52344169596561937423e-12 + 0.15707439669173367248e-13*1i 0.75738824160998910399e24 + 0.15391592966931193100e26*1i ]; B = fresnels (x); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/fresnelc.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/fresnelc.m ***** test x = 1.1; y = sym(11)/10; A = fresnelc (x); B = double (fresnelc (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = fresnelc (x); B = double (fresnelc (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(FresnelC(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 16.087871374125480424 - 36.225687992881650217*1i 0.47688568479874574722e12 + 0.12213736710985573216e13*1i 0.49999989867881789756 0.49989869420551572361*1i -0.000099999999999999997535 + 0.99999999999999987665e-6*1i 0.15391592966931193100e26 - 0.75738824160998910388e24*1i ]; B = fresnelc (x); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/euler.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/euler.m ***** error euler (1, 2, 3) ***** error euler ([1 2], [1 2 3]) ***** error euler ([1 2], [1; 2]) ***** assert (isequal (euler (0), 1)) ***** assert (isequal (euler (1), 0)) ***** assert (isequal (euler (10), -50521)) ***** test n = sym(88); m = 88; A = euler (m); B = double (euler (n)); assert (A, B, -eps); ***** test m = [0 1; 2 4]; n = sym(m); A = euler (m); B = double (euler (n)); assert (isequal (A, B)); ***** test if (python_cmd('return Version(spver) > Version("1.1.1")')) y = sym(19)/10; n = sym(2); x = 1.9; m = 2; A = euler (m, x); B = double (euler (n, y)); assert (A, B, -eps); end ***** test if (python_cmd('return Version(spver) > Version("1.1.1")')) assert (isequal (euler (4, inf), inf)) assert (isequal (euler (4, -inf), inf)) assert (isequal (euler (3, inf), inf)) assert (isequal (euler (3, -inf), -inf)) assert (isnan (euler(3, nan))) assert (isnumeric (euler(3, nan))) end ***** test % maple, complex input if (python_cmd('return Version(spver) > Version("1.1.1")')) A = 113.33970046079423204 - 46.991080726974811540i; B = euler(7, 2.12345 + 1.23i); assert (A, B, -eps); end ***** test % maple, complex input, large m, small x if (python_cmd('return Version(spver) > Version("1.1.1")')) A = 0.18034673393294025238e276 + 0.27756266681280689172e276*i; B = euler (200, 0.123+0.234i); assert (A, B, -eps); end ***** test % x matrix, m scalar if (python_cmd('return Version(spver) > Version("1.1.1")')) y = [1 2 sym(pi); exp(sym(1)) 5 6]; n = sym(2); x = double (y); m = 2; A = euler (m, x); B = double (euler (n, y)); assert (A, B, -eps); end ***** test % m matrix, x scalar if (python_cmd('return Version(spver) > Version("1.1.1")')) m = [1 2 3; 4 5 6]; n = sym(m); y = sym(21)/10; x = 2.1; A = euler (m, x); B = double (euler (n, y)); assert (A, B, -3*eps); end 14 tests, 14 passed, 0 known failure, 0 skipped [inst/@double/dilog.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/dilog.m ***** test x = 1.1; y = sym(11)/10; A = dilog (x); B = double (dilog (y)); assert (A, B, -4*eps); ***** test y = [2 2 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = dilog (x); B = double (dilog (y)); assert (A, B, -eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(dilog(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ -0.59248494924959145800 - 1.5760154034463234224*1i -1.0549087538833908441 - 3.8759788000863368495*1i -12.192421669033171348 -2.9195729380904939394 - 3.9540920181102973073*1i 1.6459519160623984119 - 0.00032335296277550987686*1i -1.5445800511775466879 + 9.4256034277816069684*1i ]; B = dilog (x); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/cosint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/cosint.m ***** test x = 1.1; y = sym(11)/10; A = cosint (x); B = double (cosint (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = cosint (x); B = double (cosint (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(Ci(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 2.0302963932917216378 - 0.15190715517585688438*1i 1.6153896382910774851 + 19.725754055338264980*1i -0.0051488251426104921444 1246.1144860424544147 + 1.5707963267948966192*1i -8.6330747120742332203 + 3.1315929869531280002*1i 0.069822228467306149311 - 3.1184744625477294643*1i ]; B = cosint (x); assert (A, B, -eps) ***** xtest % is it nan or -inf? SymPy says zoo. assert (isnan (cosint (0))) ***** assert (cosint (inf), 0) ***** assert (cosint (-inf), pi*1i, -eps) ***** assert (cosint (1), 0.33740392290096813466, -eps) ***** assert (cosint (-1), 0.33740392290096813466 + pi*1i, -eps) ***** assert (cosint (pi), 0.073667912046425485978, -5*eps) ***** assert (cosint (-pi), 0.07366791204642548597821 + pi*1i, -5*eps) ***** assert (cosint (300), -3.3321999185921117800e-3, -2*eps) ***** assert (cosint (1e4), -3.0551916724485212665e-5, -2*eps) ***** assert (cosint (1 + 1i), 0.8821721805559363250506+0.2872491335199559395273*1i, eps) ***** assert (cosint (1i), 0.8378669409802082408947 + pi/2*1i, -2*eps) ***** test % compare both sinint and cosint to expint x = pi; C1 = cosint (x); S1 = sinint (x); R = expint (1i*x); C2 = -real (R); S2 = imag (R) + pi/2; assert (C1, C2, -100*eps); assert (S1, S2, -100*eps); 15 tests, 15 passed, 0 known failure, 0 skipped [inst/@double/coshint.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/coshint.m ***** test x = 1.1; y = sym(11)/10; A = coshint (x); B = double (coshint (y)); assert (A, B, -4*eps); ***** test y = [2 3 sym(pi); exp(sym(1)) 5 6]; x = double (y); A = coshint (x); B = double (coshint (y)); assert (A, B, -4*eps); ***** test % maple: % > A := [1+2*I, -2 + 5*I, 100, 10*I, -1e-4 + 1e-6*I, -20 + I]; % > for a in A do evalf(Chi(a)) end do; x = [1+2i; -2+5i; 100; 10i; -1e-4 + 1e-6*1i; -20-1i]; A = [ 0.58447599687824767874 + 1.8682915044330306402*1i -0.63131069034703116988 + 1.8986171211850702957*1i 0.13577763724269399110e42 -0.045456433004455372635 + 1.5707963267948966192*1i -8.6330747070747332203 + 3.1315929868531280002*1i 0.74701205140887966531e7 + 0.10381444259644068585e8*1i ]; B = coshint (x); assert (A, B, -eps) 3 tests, 3 passed, 0 known failure, 0 skipped [inst/@double/chebyshevU.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/chebyshevU.m ***** error chebyshevU ([1 2], [1 2 3]) ***** error chebyshevU ([1 2], [1; 2]) ***** error chebyshevU (1, 2, 3) ***** error chebyshevU (1) ***** test y = sym(11)/10; t = sym(2); x = 1.1; s = 2; A = chebyshevU (s, x); B = double (chebyshevU (t, y)); assert (A, B, -2*eps); ***** test % maple A = 1.661891066691338157; B = chebyshevU (18.1, 0.9); assert (A, B, -3*eps) ***** test % maple, complex inputs> % ChebyshevU(12.1+3.1*I, 0.5+0.2*I); A = 1.046959313670290818 - 0.03386773634958834846*1i; B = chebyshevU (12.1+3.1*i, 0.5+0.2i); assert (A, B, -3*eps); ***** test % maple, matrix inputs A = [2.2543638828875776000 -1.3872651600553574400]; B = chebyshevU ([16 17], [0.9 0.8]); assert (A, B, -10*eps); ***** test % x matrix, s scalar y = [1 2 sym(pi); exp(sym(1)) 5 6]; t = sym(2); x = double (y); s = 2; A = chebyshevU (s, x); B = double (chebyshevU (t, y)); assert (A, B, -eps); ***** test % s matrix, x scalar t = [1 2 sym(pi); exp(sym(1)) 5 6]; y = sym(2); s = double (t); x = 2; A = chebyshevU (s, x); B = double (chebyshevU (t, y)); assert (A, B, -eps); 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@double/chebyshevT.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/chebyshevT.m ***** error chebyshevT ([1 2], [1 2 3]) ***** error chebyshevT ([1 2], [1; 2]) ***** error chebyshevT (1, 2, 3) ***** error chebyshevT (1) ***** test y = sym(11)/10; t = sym(2); x = 1.1; s = 2; A = chebyshevT (s, x); B = double (chebyshevT (t, y)); assert (A, B, -2*eps); ***** test % maple A = -0.304681164165948269030369; B = chebyshevT (18.1, 0.9); assert (A, B, -10*eps) ***** test % maple, complex inputs % ChebyshevT(12.1+3.1*I, 0.5+0.2*I); A = 0.637229289490379273451 - 0.475324703778957991318*1i; B = chebyshevT (12.1+3.1*i, 0.5+0.2i); assert (A, B, -5*eps); ***** test % maple, matrix inputs A = [0.59523064198266880000 0.57727442996887552000]; B = chebyshevT ([16 17], [0.9 0.7]); assert (A, B, -10*eps); ***** test % x matrix, s scalar y = [1 2 sym(pi); exp(sym(1)) 5 6]; t = sym(2); x = double (y); s = 2; A = chebyshevT (s, x); B = double (chebyshevT (t, y)); assert (A, B, -eps); ***** test % s matrix, x scalar t = [1 2 sym(pi); exp(sym(1)) 5 6]; y = sym(2); s = double (t); x = 2; A = chebyshevT (s, x); B = double (chebyshevT (t, y)); assert (A, B, -eps); 10 tests, 10 passed, 0 known failure, 0 skipped [inst/@double/bernoulli.m] >>>>> /build/octave-symbolic-2.7.1/inst/@double/bernoulli.m ***** error bernoulli (1, 2, 3) ***** error bernoulli ([1 2], [1 2 3]) ***** error bernoulli ([1 2], [1; 2]) ***** assert (bernoulli (0), 1) ***** assert (bernoulli (3), 0) ***** assert (bernoulli (1), -0.5, -eps) ***** test n = sym(88); m = 88; A = bernoulli (m); B = double (bernoulli (n)); assert (A, B, -eps); ***** xtest m = [0 1; 2 4]; n = sym(m); A = bernoulli (m); B = double (bernoulli (n)); assert (isequal (A, B)); ***** test y = sym(19)/10; n = sym(2); x = 1.9; m = 2; A = bernoulli (m, x); B = double (bernoulli (n, y)); assert (A, B, -eps); ***** xtest % these give nan, need upstream fix in sympy assert (isequal (bernoulli (4, inf), inf)) assert (isequal (bernoulli (4, -inf), inf)) assert (isequal (bernoulli (3, inf), inf)) assert (isequal (bernoulli (3, -inf), -inf)) !!!!! known failure assert (isequal (bernoulli (4, inf), inf)) failed ***** test assert (isnan (bernoulli(3, nan))) assert (isnumeric (bernoulli(3, nan))) ***** test % maple, complex input A = 34.21957245745810513 - 130.0046256649829101i; B = bernoulli(7, 2.123 + 1.234i); assert (A, B, -5*eps); ***** test % x matrix, m scalar y = [1 2 sym(pi); exp(sym(1)) 5 6]; n = sym(2); x = double (y); m = 2; A = bernoulli (m, x); B = double (bernoulli (n, y)); assert (A, B, -eps); ***** test % m matrix, x scalar m = [1 2 3; 4 5 6]; n = sym(m); y = sym(21)/10; x = 2.1; A = bernoulli (m, x); B = double (bernoulli (n, y)); assert (A, B, -3*eps); 14 tests, 13 passed, 1 known failure, 0 skipped Checking C++ files ... Summary: 2229 tests, 2203 passed, 26 known failures, 0 skipped dh_octave_substvar -O--buildsystem=octave dh_installdocs -O--buildsystem=octave dh_installchangelogs -O--buildsystem=octave dh_octave_changelogs -O--buildsystem=octave dh_octave_examples -O--buildsystem=octave dh_installinit -O--buildsystem=octave dh_installsystemduser -O--buildsystem=octave dh_perl -O--buildsystem=octave dh_link -O--buildsystem=octave dh_strip_nondeterminism -O--buildsystem=octave dh_compress -O--buildsystem=octave dh_fixperms -O--buildsystem=octave dh_missing -O--buildsystem=octave dh_installdeb -O--buildsystem=octave dh_gencontrol -O--buildsystem=octave dh_md5sums -O--buildsystem=octave dh_builddeb -O--buildsystem=octave dpkg-deb: building package 'octave-symbolic' in '../octave-symbolic_2.7.1-2_all.deb'. dpkg-genbuildinfo --build=binary dpkg-genchanges --build=binary >../octave-symbolic_2.7.1-2_arm64.changes dpkg-genchanges: info: binary-only upload (no source code included) dpkg-source --after-build . dpkg-buildpackage: info: binary-only upload (no source included) I: copying local configuration I: user script /srv/workspace/pbuilder/9722/tmp/hooks/B01_cleanup starting I: user script /srv/workspace/pbuilder/9722/tmp/hooks/B01_cleanup finished I: unmounting dev/ptmx filesystem I: unmounting dev/pts filesystem I: unmounting dev/shm filesystem I: unmounting proc filesystem I: unmounting sys filesystem I: cleaning the build env I: removing directory /srv/workspace/pbuilder/9722 and its subdirectories I: Current time: Wed Sep 8 13:07:05 +14 2021 I: pbuilder-time-stamp: 1631056025