diff options
Diffstat (limited to 'demos/ppl_lcdd')
125 files changed, 18884 insertions, 0 deletions
diff --git a/demos/ppl_lcdd/Makefile.am b/demos/ppl_lcdd/Makefile.am new file mode 100644 index 000000000..7312b93aa --- /dev/null +++ b/demos/ppl_lcdd/Makefile.am @@ -0,0 +1,133 @@ +# Automake source file for the Parma Polyhedra Library. +# Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it> +# Copyright (C) 2010-2011 BUGSENG srl (http://bugseng.com) +# +# This file is part of the Parma Polyhedra Library (PPL). +# +# The PPL is free software; you can redistribute it and/or modify it +# under the terms of the GNU General Public License as published by the +# Free Software Foundation; either version 3 of the License, or (at your +# option) any later version. +# +# The PPL is distributed in the hope that it will be useful, but WITHOUT +# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +# for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program; if not, write to the Free Software Foundation, +# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA. +# +# For the most up-to-date information see the Parma Polyhedra Library +# site: http://www.cs.unipr.it/ppl/ . + +SUBDIRS = examples + +AM_CPPFLAGS = \ +-I$(top_builddir) \ +-I$(top_builddir)/src \ +-I$(top_srcdir)/utils \ +@extra_includes@ + +bin_PROGRAMS = ppl_lcdd +ppl_lcdd_SOURCES = ppl_lcdd.cc +ppl_lcdd_LDADD = \ +$(top_builddir)/src/libppl.la \ +$(top_builddir)/utils/libppl_utils.a \ +@extra_libraries@ + +dist_man_MANS = \ +ppl_lcdd.1 + +polka_lcdd.o: $(srcdir)/ppl_lcdd.cc $(top_builddir)/utils/libppl_utils.a + $(CXXCOMPILE) -c -o $@ -DUSE_POLKA $(srcdir)/ppl_lcdd.cc + +polka_lcdd: polka_lcdd.o + $(CXXLINK) $< -lpolkag -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a + + +polylib_lcdd.o: $(srcdir)/ppl_lcdd.cc + $(CXXCOMPILE) -c -o $@ -DUSE_POLYLIB $(srcdir)/ppl_lcdd.cc + +polylib_lcdd: polylib_lcdd.o $(top_builddir)/utils/libppl_utils.a + $(CXXLINK) $< -lpolylibgmp -lgmpxx -lgmp $(top_builddir)/utils/libppl_utils.a + +EXTRA_DIST = \ +expected_mpz \ +expected_mpz_a \ +expected_int8 \ +expected_int8_a \ +expected_int16 \ +expected_int16_a \ +expected_int32 \ +expected_int32_a \ +expected_int64 \ +expected_int64_a + +if HAVE_MD5SUM + +COEFFICIENT_MNEMONIC = @coefficient_mnemonic@ + +if ASSERTIONS_ENABLED + +TOUGH_EXAMPLES_IF_ASSERTIONS_ENABLED = \ +ccc6.ext \ +ccp6.ext \ +cut32_16.ext \ +cyclic16-10.ext \ +reg600-5_m.ext \ +cyclic17_8.ine \ +in6.ine \ +in7.ine \ +kq20_11_m.ine \ +mit31-20.ine \ +sampleh8.ine \ +trunc10.ine + +EXPECTED = expected_$(COEFFICIENT_MNEMONIC)_a + +else !ASSERTIONS_ENABLED + +EXPECTED = expected_$(COEFFICIENT_MNEMONIC) + +endif !ASSERTIONS_ENABLED + +TOUGH_EXAMPLES = \ +cp7.ext \ +cyclic25_13.ext \ +prodst62.ext \ +cp6.ine \ +mit.ine \ +mit288-281.ine \ +mit41-16.ine \ +mit708-9.ine \ +mit71-61.ine \ +mit90-86.ine \ +$(TOUGH_EXAMPLES_IF_ASSERTIONS_ENABLED) + +check-local: ppl_lcdd$(EXEEXT) + echo $(TOUGH_EXAMPLES) >tough_examples + echo $(ECHO_N) "$(ECHO_C)" >obtained + export LC_ALL=C; \ + for path in $(srcdir)/examples/*.ext $(srcdir)/examples/*.ine; \ + do \ + file=`basename $$path`; \ + $(FGREP) $$file tough_examples >/dev/null 2>&1 && continue; \ + echo $(ECHO_N) $$file " $(ECHO_C)" >>obtained; \ + echo ppl_lcdd$(EXEEXT) $$path; \ + ./ppl_lcdd$(EXEEXT) $$path | tr -d '\015' | $(TEXT_MD5SUM) \ + >>obtained; \ + done + diff obtained $(srcdir)/$(EXPECTED) + +MOSTLYCLEANFILES = \ +tough_examples \ +obtained + +endif HAVE_MD5SUM + +$(top_builddir)/utils/libppl_utils.a: + $(MAKE) $(AM_MAKEFLAGS) -C $(top_builddir)/utils libppl_utils.a + +$(top_builddir)/src/libppl.la: + $(MAKE) $(AM_MAKEFLAGS) -C $(top_builddir)/src libppl.la diff --git a/demos/ppl_lcdd/Makefile.in b/demos/ppl_lcdd/Makefile.in new file mode 100644 index 000000000..bddaecc4f --- /dev/null +++ b/demos/ppl_lcdd/Makefile.in @@ -0,0 +1,987 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +# Automake source file for the Parma Polyhedra Library. +# Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it> +# Copyright (C) 2010-2011 BUGSENG srl (http://bugseng.com) +# +# This file is part of the Parma Polyhedra Library (PPL). +# +# The PPL is free software; you can redistribute it and/or modify it +# under the terms of the GNU General Public License as published by the +# Free Software Foundation; either version 3 of the License, or (at your +# option) any later version. +# +# The PPL is distributed in the hope that it will be useful, but WITHOUT +# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +# for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program; if not, write to the Free Software Foundation, +# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA. +# +# For the most up-to-date information see the Parma Polyhedra Library +# site: http://www.cs.unipr.it/ppl/ . + +VPATH = @srcdir@ +pkgdatadir = $(datadir)/@PACKAGE@ +pkgincludedir = $(includedir)/@PACKAGE@ +pkglibdir = $(libdir)/@PACKAGE@ +pkglibexecdir = $(libexecdir)/@PACKAGE@ +am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd +install_sh_DATA = $(install_sh) -c -m 644 +install_sh_PROGRAM = $(install_sh) -c +install_sh_SCRIPT = $(install_sh) -c +INSTALL_HEADER = $(INSTALL_DATA) +transform = $(program_transform_name) +NORMAL_INSTALL = : +PRE_INSTALL = : +POST_INSTALL = : +NORMAL_UNINSTALL = : +PRE_UNINSTALL = : +POST_UNINSTALL = : +build_triplet = @build@ +host_triplet = @host@ +bin_PROGRAMS = 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See the GNU General Public License +# for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program; if not, write to the Free Software Foundation, +# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA. +# +# For the most up-to-date information see the Parma Polyhedra Library +# site: http://www.cs.unipr.it/ppl/ . + +EXT_FILES = \ +ccc4.ext \ +ccc5.ext \ +ccc6.ext \ +ccp4.ext \ +ccp5.ext \ +ccp6.ext \ +cp4.ext \ +cp5.ext \ +cp6.ext \ +cp7.ext \ +cube.ext \ +cut16_11.ext \ +cut32_16.ext \ +cyclic10-4.ext \ +cyclic12-6.ext \ +cyclic14-8.ext \ +cyclic16-10.ext \ +cyclic25_13.ext \ +dcube10.ext \ +dcube12.ext \ +dcube3.ext \ +dcube6.ext \ +dcube8.ext \ +irbox20-4.ext \ +irbox200-4.ext \ +mp5.ext \ +prodst62.ext \ +redcheck.ext \ +reg24-5.ext \ +reg600-5_m.ext \ +samplev1.ext \ +samplev2.ext \ +samplev3.ext \ +tsp5.ext + +INE_FILES = \ +1d.ine \ +1da.ine \ +allzero.ine \ +cp4.ine \ +cp5.ine \ +cp6.ine \ +cross10.ine \ +cross12.ine \ +cross4.ine \ +cross6.ine \ +cross8.ine \ +cube.ine \ +cube10.ine \ +cube12.ine \ +cube3.ine \ +cube6.ine \ +cube8.ine \ +cubetop.ine \ +cubocta.ine \ +cyc.ine \ +cyclic17_8.ine \ +diamond.ine \ +dodeca_m.ine \ +ex1.ine \ +grcubocta.ine \ +hexocta.ine \ +icododeca_m.ine \ +in0.ine \ +in1.ine \ +in2.ine \ +in3.ine \ +in4.ine \ +in5.ine \ +in6.ine \ +in7.ine \ +infeas.ine \ +integralpoints.ine \ +kkd18_4.ine \ +kkd27_5.ine \ +kkd38_6.ine \ +kq20_11_m.ine \ +metric40_11.ine \ +metric80_16.ine \ +mit.ine \ +mit288-281.ine \ +mit31-20.ine \ +mit41-16.ine \ +mit708-9.ine \ +mit71-61.ine \ +mit90-86.ine \ +mp5.ine \ +mp5a.ine \ +mp6.ine \ +nonfull.ine \ +origin.ine \ +project1_m.ine \ +project1res.ine \ +project2_m.ine \ +project2res.ine \ +rcubocta.ine \ +reg24-5.ine \ +rhomtria_m.ine \ +sample.ine \ +sampleh1.ine \ +sampleh2.ine \ +sampleh3.ine \ +sampleh4.ine \ +sampleh5.ine \ +sampleh6.ine \ +sampleh7.ine \ +sampleh8.ine \ +trunc10.ine \ +trunc7.ine \ +tsp5.ine + +dist_noinst_DATA = $(EXT_FILES) $(INE_FILES) diff --git a/demos/ppl_lcdd/examples/Makefile.in b/demos/ppl_lcdd/examples/Makefile.in new file mode 100644 index 000000000..5ae9a9088 --- /dev/null +++ b/demos/ppl_lcdd/examples/Makefile.in @@ -0,0 +1,606 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +# Automake source file for the Parma Polyhedra Library. +# Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it> +# Copyright (C) 2010-2011 BUGSENG srl (http://bugseng.com) +# +# This file is part of the Parma Polyhedra Library (PPL). +# +# The PPL is free software; you can redistribute it and/or modify it +# under the terms of the GNU General Public License as published by the +# Free Software Foundation; either version 3 of the License, or (at your +# option) any later version. +# +# The PPL is distributed in the hope that it will be useful, but WITHOUT +# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +# FITNESS FOR A PARTICULAR PURPOSE. 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+sampleh3.ine \ +sampleh4.ine \ +sampleh5.ine \ +sampleh6.ine \ +sampleh7.ine \ +sampleh8.ine \ +trunc10.ine \ +trunc7.ine \ +tsp5.ine + +dist_noinst_DATA = $(EXT_FILES) $(INE_FILES) +all: all-am + +.SUFFIXES: +$(srcdir)/Makefile.in: $(srcdir)/Makefile.am $(am__configure_deps) + @for dep in $?; do \ + case '$(am__configure_deps)' in \ + *$$dep*) \ + ( cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh ) \ + && { if test -f $@; then exit 0; else break; fi; }; \ + exit 1;; \ + esac; \ + done; \ + echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign demos/ppl_lcdd/examples/Makefile'; \ + $(am__cd) $(top_srcdir) && \ + $(AUTOMAKE) --foreign demos/ppl_lcdd/examples/Makefile +.PRECIOUS: Makefile +Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status + @case '$?' in \ + *config.status*) \ + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \ + *) \ + echo ' cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe)'; \ + cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe);; \ + esac; + +$(top_builddir)/config.status: $(top_srcdir)/configure $(CONFIG_STATUS_DEPENDENCIES) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh + +$(top_srcdir)/configure: $(am__configure_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(ACLOCAL_M4): $(am__aclocal_m4_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(am__aclocal_m4_deps): + +mostlyclean-libtool: + -rm -f *.lo + +clean-libtool: + -rm -rf .libs _libs +tags: TAGS +TAGS: + +ctags: CTAGS +CTAGS: + + +distdir: $(DISTFILES) + @srcdirstrip=`echo "$(srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \ + topsrcdirstrip=`echo "$(top_srcdir)" | sed 's/[].[^$$\\*]/\\\\&/g'`; \ + list='$(DISTFILES)'; \ + dist_files=`for file in $$list; do echo $$file; done | \ + sed -e "s|^$$srcdirstrip/||;t" \ + -e "s|^$$topsrcdirstrip/|$(top_builddir)/|;t"`; \ + case $$dist_files in \ + */*) $(MKDIR_P) `echo "$$dist_files" | \ + sed '/\//!d;s|^|$(distdir)/|;s,/[^/]*$$,,' | \ + sort -u` ;; \ + esac; \ + for file in $$dist_files; do \ + if test -f $$file || test -d $$file; then d=.; else d=$(srcdir); fi; \ + if test -d $$d/$$file; then \ + dir=`echo "/$$file" | sed -e 's,/[^/]*$$,,'`; \ + if test -d "$(distdir)/$$file"; then \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \ + cp -fpR $(srcdir)/$$file "$(distdir)$$dir" || exit 1; \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + cp -fpR $$d/$$file "$(distdir)$$dir" || exit 1; \ + else \ + test -f "$(distdir)/$$file" \ + || cp -p $$d/$$file "$(distdir)/$$file" \ + || exit 1; \ + fi; \ + done +check-am: all-am +check: check-am +all-am: Makefile $(DATA) +installdirs: +install: install-am +install-exec: install-exec-am +install-data: install-data-am +uninstall: uninstall-am + +install-am: all-am + @$(MAKE) $(AM_MAKEFLAGS) install-exec-am 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installcheck installcheck-am installdirs maintainer-clean \ + maintainer-clean-generic mostlyclean mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am uninstall uninstall-am + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/demos/ppl_lcdd/examples/README b/demos/ppl_lcdd/examples/README new file mode 100644 index 000000000..c1c4b14d4 --- /dev/null +++ b/demos/ppl_lcdd/examples/README @@ -0,0 +1,13 @@ +Most of the examples in this directory have been taken (sometimes with +changes) from cddlib version 0.93c [1] and lrslib version 4.2 [2]. +The changes consisted in the removal of commands that are not +implemented in `ppl_lcdd', the revision of some comments and, for some +examples, in the conversion of floating point coefficients to integer +or rational numbers. In this last case, the name of the example has +been changed from, e.g., `file.ine' to `file_m.ine'. + + +-------- + +[1] http://www.cs.mcgill.ca/~fukuda/soft/cdd_home/cdd.html +[2] http://cgm.cs.mcgill.ca/~avis/C/lrs.html diff --git a/demos/ppl_lcdd/examples/allzero.ine b/demos/ppl_lcdd/examples/allzero.ine new file mode 100644 index 000000000..9c9c353e2 --- /dev/null +++ b/demos/ppl_lcdd/examples/allzero.ine @@ -0,0 +1,11 @@ +H-representation +begin + 6 4 integer + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 +end + diff --git a/demos/ppl_lcdd/examples/ccc4.ext b/demos/ppl_lcdd/examples/ccc4.ext new file mode 100644 index 000000000..8f98f5fad --- /dev/null +++ b/demos/ppl_lcdd/examples/ccc4.ext @@ -0,0 +1,14 @@ +* Complete cut cone on 4 vertices +* The number of facets is 12. +V-representation +begin + 7 7 integer + 0 1 1 1 0 0 0 + 0 0 1 1 1 1 0 + 0 1 0 1 1 0 1 + 0 1 1 0 0 1 1 + 0 0 0 1 0 1 1 + 0 0 1 0 1 0 1 + 0 1 0 0 1 1 0 +end + diff --git a/demos/ppl_lcdd/examples/ccc5.ext b/demos/ppl_lcdd/examples/ccc5.ext new file mode 100644 index 000000000..007cad294 --- /dev/null +++ b/demos/ppl_lcdd/examples/ccc5.ext @@ -0,0 +1,21 @@ +* Complete cut cone on 5 vertices +* The number of facets is 40. +V-representation +begin + 15 11 integer +0 1 1 1 1 0 0 0 0 0 0 +0 0 1 1 1 1 1 1 0 0 0 +0 1 0 1 1 1 0 0 1 1 0 +0 1 1 0 1 0 1 0 1 0 1 +0 1 1 1 0 0 0 1 0 1 1 +0 0 0 1 1 0 1 1 1 1 0 +0 0 1 0 1 1 0 1 1 0 1 +0 0 1 1 0 1 1 0 0 1 1 +0 1 0 0 1 1 1 0 0 1 1 +0 1 0 1 0 1 0 1 1 0 1 +0 1 1 0 0 0 1 1 1 1 0 +0 0 0 0 1 0 0 1 0 1 1 +0 0 0 1 0 0 1 0 1 0 1 +0 0 1 0 0 1 0 0 1 1 0 +0 1 0 0 0 1 1 1 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/ccc6.ext b/demos/ppl_lcdd/examples/ccc6.ext new file mode 100644 index 000000000..08f487972 --- /dev/null +++ b/demos/ppl_lcdd/examples/ccc6.ext @@ -0,0 +1,37 @@ +* Complete cut cone on 6 vertices +* The number of facets is 210. +V-representation +begin + 31 16 integer +0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 +0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 +0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 +0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 +0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 +0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 +0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 +0 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 +0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 +0 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 +0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 +0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 +0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 +0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 +0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 +0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 +0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 +0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 +0 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 +0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 +0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 +0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 +0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 +0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 +0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 +0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 +0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 +0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 +0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 +0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 +0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/ccp4.ext b/demos/ppl_lcdd/examples/ccp4.ext new file mode 100644 index 000000000..0c3e44c03 --- /dev/null +++ b/demos/ppl_lcdd/examples/ccp4.ext @@ -0,0 +1,14 @@ +* Input file for computing the facets of the complete cut polytope on 4 vertices +* The number of facets is 16. +V-representation +begin + 8 7 integer + 1 0 0 0 0 0 0 + 1 1 1 1 0 0 0 + 1 0 1 1 1 1 0 + 1 1 0 1 1 0 1 + 1 1 1 0 0 1 1 + 1 0 0 1 0 1 1 + 1 0 1 0 1 0 1 + 1 1 0 0 1 1 0 +end diff --git a/demos/ppl_lcdd/examples/ccp5.ext b/demos/ppl_lcdd/examples/ccp5.ext new file mode 100644 index 000000000..bd56d9341 --- /dev/null +++ b/demos/ppl_lcdd/examples/ccp5.ext @@ -0,0 +1,22 @@ +* Input file for computing the facets of the complete cut polytope on 5 vertices +* The number of facets is 56. +V-representation +begin + 16 11 integer +1 0 0 0 0 0 0 0 0 0 0 +1 1 1 1 1 0 0 0 0 0 0 +1 0 1 1 1 1 1 1 0 0 0 +1 1 0 1 1 1 0 0 1 1 0 +1 1 1 0 1 0 1 0 1 0 1 +1 1 1 1 0 0 0 1 0 1 1 +1 0 0 1 1 0 1 1 1 1 0 +1 0 1 0 1 1 0 1 1 0 1 +1 0 1 1 0 1 1 0 0 1 1 +1 1 0 0 1 1 1 0 0 1 1 +1 1 0 1 0 1 0 1 1 0 1 +1 1 1 0 0 0 1 1 1 1 0 +1 0 0 0 1 0 0 1 0 1 1 +1 0 0 1 0 0 1 0 1 0 1 +1 0 1 0 0 1 0 0 1 1 0 +1 1 0 0 0 1 1 1 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/ccp6.ext b/demos/ppl_lcdd/examples/ccp6.ext new file mode 100644 index 000000000..def04446a --- /dev/null +++ b/demos/ppl_lcdd/examples/ccp6.ext @@ -0,0 +1,38 @@ +* Input file for computing the facets of the complete cut polytope on 6 vertices +* The number of facets is 368. +V-representation +begin + 32 16 integer +1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 +1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 +1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 +1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 +1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 +1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 +1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 +1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 +1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 +1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 +1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 +1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 +1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 +1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 +1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 +1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 +1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 +1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 +1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 +1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 +1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 +1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 +1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 +1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1 +1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 +1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 +1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 +1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 +1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 +1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 +1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/cp4.ext b/demos/ppl_lcdd/examples/cp4.ext new file mode 100644 index 000000000..2de9fb7c0 --- /dev/null +++ b/demos/ppl_lcdd/examples/cp4.ext @@ -0,0 +1,12 @@ +V-representation +begin +8 7 integer +1 0 0 0 0 0 0 +1 0 1 1 1 1 0 +1 0 0 1 0 1 1 +1 1 0 0 1 1 0 +1 1 1 1 0 0 0 +1 0 1 0 1 0 1 +1 1 1 0 0 1 1 +1 1 0 1 1 0 1 +end diff --git a/demos/ppl_lcdd/examples/cp4.ine b/demos/ppl_lcdd/examples/cp4.ine new file mode 100644 index 000000000..0a2ec5e20 --- /dev/null +++ b/demos/ppl_lcdd/examples/cp4.ine @@ -0,0 +1,20 @@ +H-representation +begin +16 7 rational + 2 0 -1 -1 0 0 -1 + 2 -1 -1 0 -1 0 0 + 2 0 0 0 -1 -1 -1 + 2 -1 0 -1 0 -1 0 + 0 0 0 0 1 1 -1 + 0 -1 0 1 0 1 0 + 0 0 1 1 0 0 -1 + 0 -1 1 0 1 0 0 + 0 1 0 -1 0 1 0 + 0 0 0 0 -1 1 1 + 0 1 1 0 -1 0 0 + 0 0 1 -1 0 0 1 + 0 1 -1 0 1 0 0 + 0 0 -1 1 0 0 1 + 0 1 0 1 0 -1 0 + 0 0 0 0 1 -1 1 +end diff --git a/demos/ppl_lcdd/examples/cp5.ext b/demos/ppl_lcdd/examples/cp5.ext new file mode 100644 index 000000000..3aa967aac --- /dev/null +++ b/demos/ppl_lcdd/examples/cp5.ext @@ -0,0 +1,21 @@ +* 5 point cut polytope +V-representation +begin + 16 11 integer +1 0 0 0 0 0 0 0 0 0 0 +1 1 1 1 1 0 0 0 0 0 0 +1 0 1 1 1 1 1 1 0 0 0 +1 1 0 1 1 1 0 0 1 1 0 +1 1 1 0 1 0 1 0 1 0 1 +1 1 1 1 0 0 0 1 0 1 1 +1 0 0 1 1 0 1 1 1 1 0 +1 0 1 0 1 1 0 1 1 0 1 +1 0 1 1 0 1 1 0 0 1 1 +1 1 0 0 1 1 1 0 0 1 1 +1 1 0 1 0 1 0 1 1 0 1 +1 1 1 0 0 0 1 1 1 1 0 +1 0 0 0 1 0 0 1 0 1 1 +1 0 0 1 0 0 1 0 1 0 1 +1 0 1 0 0 1 0 0 1 1 0 +1 1 0 0 0 1 1 1 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/cp5.ine b/demos/ppl_lcdd/examples/cp5.ine new file mode 100644 index 000000000..8b21e429b --- /dev/null +++ b/demos/ppl_lcdd/examples/cp5.ine @@ -0,0 +1,61 @@ +* 6 point cut polytope +H-representation +begin +56 11 rational + 2 0 0 0 0 0 0 0 -1 -1 -1 + 2 0 0 0 0 0 -1 -1 0 0 -1 + 2 0 0 0 0 -1 0 -1 0 -1 0 + 0 1 0 0 1 0 0 -1 0 0 0 + 0 0 1 0 1 0 0 0 0 -1 0 + 0 0 0 1 1 0 0 0 0 0 -1 + 2 1 1 1 1 -1 -1 -1 -1 -1 -1 + 0 0 1 1 0 0 0 0 -1 0 0 + 0 -1 1 0 0 1 0 0 0 0 0 + 0 -1 1 1 1 1 1 1 -1 -1 -1 + 0 0 0 0 0 1 1 0 -1 0 0 + 0 0 0 0 0 1 0 -1 0 1 0 + 0 0 1 0 -1 0 0 0 0 1 0 + 2 -1 1 -1 -1 1 -1 -1 1 1 -1 + 2 -1 0 0 -1 0 0 -1 0 0 0 + 0 -1 0 1 0 0 1 0 0 0 0 + 0 0 0 0 0 0 1 -1 0 0 1 + 0 -1 1 1 -1 1 1 -1 -1 1 1 + 0 0 0 1 -1 0 0 0 0 0 1 + 2 -1 -1 1 -1 -1 1 -1 1 -1 1 + 0 1 0 1 0 0 -1 0 0 0 0 + 0 0 0 0 0 1 0 1 0 -1 0 + 0 0 0 0 0 1 -1 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-1 1 -1 + 1 -1 -1 -1 -1 -1 -1 -1 1 + 1 -1 -1 -1 -1 -1 -1 -1 -1 +end diff --git a/demos/ppl_lcdd/examples/cube.ext b/demos/ppl_lcdd/examples/cube.ext new file mode 100644 index 000000000..b55a87575 --- /dev/null +++ b/demos/ppl_lcdd/examples/cube.ext @@ -0,0 +1,13 @@ +* cube +V-representation +begin +8 4 rational + 1 1 1 1 + 1 -1 1 1 + 1 1 -1 1 + 1 -1 -1 1 + 1 1 1 -1 + 1 -1 1 -1 + 1 1 -1 -1 + 1 -1 -1 -1 +end diff --git a/demos/ppl_lcdd/examples/cube.ine b/demos/ppl_lcdd/examples/cube.ine new file mode 100644 index 000000000..28301fc29 --- /dev/null +++ b/demos/ppl_lcdd/examples/cube.ine @@ -0,0 +1,12 @@ +* cube of side 2 centred at origin +H-representation +linearity 1 1 +begin +6 4 rational +1 -1 0 0 +1 0 -1 0 +1 0 0 -1 +1 1 0 0 +1 0 1 0 +1 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/cube10.ine b/demos/ppl_lcdd/examples/cube10.ine new file mode 100644 index 000000000..7318f4833 --- /dev/null +++ b/demos/ppl_lcdd/examples/cube10.ine @@ -0,0 +1,25 @@ +* 10-dim hypercube +H-representation +begin + 20 11 integer + 1 1 0 0 0 0 0 0 0 0 0 + 1 0 1 0 0 0 0 0 0 0 0 + 1 0 0 1 0 0 0 0 0 0 0 + 1 0 0 0 1 0 0 0 0 0 0 + 1 0 0 0 0 1 0 0 0 0 0 + 1 0 0 0 0 0 1 0 0 0 0 + 1 0 0 0 0 0 0 1 0 0 0 + 1 0 0 0 0 0 0 0 1 0 0 + 1 0 0 0 0 0 0 0 0 1 0 + 1 0 0 0 0 0 0 0 0 0 1 + 1 -1 0 0 0 0 0 0 0 0 0 + 1 0 -1 0 0 0 0 0 0 0 0 + 1 0 0 -1 0 0 0 0 0 0 0 + 1 0 0 0 -1 0 0 0 0 0 0 + 1 0 0 0 0 -1 0 0 0 0 0 + 1 0 0 0 0 0 -1 0 0 0 0 + 1 0 0 0 0 0 0 -1 0 0 0 + 1 0 0 0 0 0 0 0 -1 0 0 + 1 0 0 0 0 0 0 0 0 -1 0 + 1 0 0 0 0 0 0 0 0 0 -1 +end diff --git a/demos/ppl_lcdd/examples/cube12.ine b/demos/ppl_lcdd/examples/cube12.ine new file mode 100644 index 000000000..4206e39e6 --- /dev/null +++ b/demos/ppl_lcdd/examples/cube12.ine @@ -0,0 +1,29 @@ +* 12-dim hypercube +H-representation +begin + 24 13 integer + 1 1 0 0 0 0 0 0 0 0 0 0 0 + 1 0 1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 1 0 0 0 0 0 0 0 0 0 + 1 0 0 0 1 0 0 0 0 0 0 0 0 + 1 0 0 0 0 1 0 0 0 0 0 0 0 + 1 0 0 0 0 0 1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 1 0 0 0 0 0 + 1 0 0 0 0 0 0 0 1 0 0 0 0 + 1 0 0 0 0 0 0 0 0 1 0 0 0 + 1 0 0 0 0 0 0 0 0 0 1 0 0 + 1 0 0 0 0 0 0 0 0 0 0 1 0 + 1 0 0 0 0 0 0 0 0 0 0 0 1 + 1 -1 0 0 0 0 0 0 0 0 0 0 0 + 1 0 -1 0 0 0 0 0 0 0 0 0 0 + 1 0 0 -1 0 0 0 0 0 0 0 0 0 + 1 0 0 0 -1 0 0 0 0 0 0 0 0 + 1 0 0 0 0 -1 0 0 0 0 0 0 0 + 1 0 0 0 0 0 -1 0 0 0 0 0 0 + 1 0 0 0 0 0 0 -1 0 0 0 0 0 + 1 0 0 0 0 0 0 0 -1 0 0 0 0 + 1 0 0 0 0 0 0 0 0 -1 0 0 0 + 1 0 0 0 0 0 0 0 0 0 -1 0 0 + 1 0 0 0 0 0 0 0 0 0 0 -1 0 + 1 0 0 0 0 0 0 0 0 0 0 0 -1 +end diff --git a/demos/ppl_lcdd/examples/cube3.ine b/demos/ppl_lcdd/examples/cube3.ine new file mode 100644 index 000000000..601dd13ce --- /dev/null +++ b/demos/ppl_lcdd/examples/cube3.ine @@ -0,0 +1,11 @@ +* Hypercube of dimension 3 +H-representation +begin + 6 4 integer + 1 1 0 0 + 1 0 1 0 + 1 0 0 1 + 1 -1 0 0 + 1 0 -1 0 + 1 0 0 -1 +end diff --git a/demos/ppl_lcdd/examples/cube6.ine b/demos/ppl_lcdd/examples/cube6.ine new file mode 100644 index 000000000..98b25538f --- /dev/null +++ b/demos/ppl_lcdd/examples/cube6.ine @@ -0,0 +1,17 @@ +* 6-dim hypercube +H-representation +begin + 12 7 integer + 1 1 0 0 0 0 0 + 1 0 1 0 0 0 0 + 1 0 0 1 0 0 0 + 1 0 0 0 1 0 0 + 1 0 0 0 0 1 0 + 1 0 0 0 0 0 1 + 1 -1 0 0 0 0 0 + 1 0 -1 0 0 0 0 + 1 0 0 -1 0 0 0 + 1 0 0 0 -1 0 0 + 1 0 0 0 0 -1 0 + 1 0 0 0 0 0 -1 +end diff --git a/demos/ppl_lcdd/examples/cube8.ine b/demos/ppl_lcdd/examples/cube8.ine new file mode 100644 index 000000000..2028c837f --- /dev/null +++ b/demos/ppl_lcdd/examples/cube8.ine @@ -0,0 +1,21 @@ +* 8-dim hypercube +H-representation +begin + 16 9 integer + 1 1 0 0 0 0 0 0 0 + 1 0 1 0 0 0 0 0 0 + 1 0 0 1 0 0 0 0 0 + 1 0 0 0 1 0 0 0 0 + 1 0 0 0 0 1 0 0 0 + 1 0 0 0 0 0 1 0 0 + 1 0 0 0 0 0 0 1 0 + 1 0 0 0 0 0 0 0 1 + 1 -1 0 0 0 0 0 0 0 + 1 0 -1 0 0 0 0 0 0 + 1 0 0 -1 0 0 0 0 0 + 1 0 0 0 -1 0 0 0 0 + 1 0 0 0 0 -1 0 0 0 + 1 0 0 0 0 0 -1 0 0 + 1 0 0 0 0 0 0 -1 0 + 1 0 0 0 0 0 0 0 -1 +end diff --git a/demos/ppl_lcdd/examples/cubetop.ine b/demos/ppl_lcdd/examples/cubetop.ine new file mode 100644 index 000000000..bc0b835f8 --- /dev/null +++ b/demos/ppl_lcdd/examples/cubetop.ine @@ -0,0 +1,12 @@ +* top facet of cube +linearity 1 3 +H-representation +begin +6 4 integer + 1 -1 0 0 + 1 0 -1 0 + 1 0 0 -1 + 0 1 0 0 + 0 0 1 0 + 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/cubocta.ine b/demos/ppl_lcdd/examples/cubocta.ine new file mode 100644 index 000000000..d467383b8 --- /dev/null +++ b/demos/ppl_lcdd/examples/cubocta.ine @@ -0,0 +1,19 @@ +* Cuboctahedron +H-representation +begin + 14 4 integer + 1 1 0 0 + 1 0 1 0 + 1 0 0 1 + 1 -1 0 0 + 1 0 -1 0 + 1 0 0 -1 + 2 1 1 1 + 2 -1 1 1 + 2 1 -1 1 + 2 1 1 -1 + 2 -1 -1 1 + 2 1 -1 -1 + 2 -1 1 -1 + 2 -1 -1 -1 +end diff --git a/demos/ppl_lcdd/examples/cut16_11.ext b/demos/ppl_lcdd/examples/cut16_11.ext new file mode 100644 index 000000000..c7370ff7a --- /dev/null +++ b/demos/ppl_lcdd/examples/cut16_11.ext @@ -0,0 +1,21 @@ +* 5 point cut polytope +V-representation +begin +16 11 integer +1 1 1 -1 -1 -1 1 1 1 1 -1 +1 -1 -1 -1 1 -1 -1 1 -1 1 1 +1 -1 -1 1 -1 -1 1 -1 1 -1 1 +1 -1 1 -1 -1 1 -1 -1 1 1 -1 +1 1 -1 -1 -1 1 1 1 -1 -1 -1 +1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 +1 1 1 1 1 -1 -1 -1 -1 -1 -1 +1 -1 1 1 1 1 1 1 -1 -1 -1 +1 1 -1 1 1 1 -1 -1 1 1 -1 +1 1 1 -1 1 -1 1 -1 1 -1 1 +1 1 1 1 -1 -1 -1 1 -1 1 1 +1 -1 -1 1 1 -1 1 1 1 1 -1 +1 -1 1 -1 1 1 -1 1 1 -1 1 +1 -1 1 1 -1 1 1 -1 -1 1 1 +1 1 -1 -1 1 1 1 -1 -1 1 1 +1 1 -1 1 -1 1 -1 1 1 -1 1 +end diff --git a/demos/ppl_lcdd/examples/cut32_16.ext b/demos/ppl_lcdd/examples/cut32_16.ext new file mode 100644 index 000000000..5d6839730 --- /dev/null +++ b/demos/ppl_lcdd/examples/cut32_16.ext @@ -0,0 +1,37 @@ +* 6 point cut polytope +V-representation +begin + 32 16 integer +1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 +1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 +1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 +1 1 -1 1 1 1 1 -1 -1 -1 1 1 1 -1 -1 -1 +1 1 1 -1 1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 +1 1 1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 1 +1 1 1 1 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 +1 -1 -1 1 1 1 -1 1 1 1 1 1 1 -1 -1 -1 +1 -1 1 -1 1 1 1 -1 1 1 1 -1 -1 1 1 -1 +1 -1 1 1 -1 1 1 1 -1 1 -1 1 -1 1 -1 1 +1 -1 1 1 1 -1 1 1 1 -1 -1 -1 1 -1 1 1 +1 1 -1 -1 1 1 1 1 -1 -1 -1 1 1 1 1 -1 +1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 1 -1 1 +1 1 -1 1 1 -1 1 -1 -1 1 1 1 -1 -1 1 1 +1 1 1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 1 +1 1 1 -1 1 -1 -1 1 -1 1 1 -1 1 1 -1 1 +1 1 1 1 -1 -1 -1 -1 1 1 -1 1 1 1 1 -1 +1 -1 -1 -1 1 1 -1 -1 1 1 -1 1 1 1 1 -1 +1 -1 -1 1 -1 1 -1 1 -1 1 1 -1 1 1 -1 1 +1 -1 -1 1 1 -1 -1 1 1 -1 1 1 -1 -1 1 1 +1 -1 1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 1 1 +1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 1 -1 1 +1 -1 1 1 -1 -1 1 1 -1 -1 -1 1 1 1 1 -1 +1 1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 1 1 +1 1 -1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1 1 +1 1 -1 1 -1 -1 1 -1 1 1 1 -1 -1 1 1 -1 +1 1 1 -1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 +1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 1 1 +1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 1 -1 1 +1 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 -1 1 1 -1 +1 -1 1 -1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 -1 +1 1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 +end diff --git a/demos/ppl_lcdd/examples/cyc.ine b/demos/ppl_lcdd/examples/cyc.ine new file mode 100644 index 000000000..9eeadd9e9 --- /dev/null +++ b/demos/ppl_lcdd/examples/cyc.ine @@ -0,0 +1,10 @@ +* cyclic polytope: 5 vertices in R^3 +V-representation +begin +5 4 integer +1 1 1 1 +1 2 4 8 +1 3 9 27 +1 4 16 64 +1 5 25 125 +end diff --git a/demos/ppl_lcdd/examples/cyclic10-4.ext b/demos/ppl_lcdd/examples/cyclic10-4.ext new file mode 100644 index 000000000..84629a5d7 --- /dev/null +++ b/demos/ppl_lcdd/examples/cyclic10-4.ext @@ -0,0 +1,16 @@ +* 3-dim cyclic polytope with 10 vertices +* Number of facets (outputs) =16 +V-representation +begin +10 4 integer + 1 1 1 1 + 1 2 4 8 + 1 3 9 27 + 1 4 16 64 + 1 5 25 125 + 1 6 36 216 + 1 7 49 343 + 1 8 64 512 + 1 9 81 729 + 1 10 100 1000 +end diff --git a/demos/ppl_lcdd/examples/cyclic12-6.ext b/demos/ppl_lcdd/examples/cyclic12-6.ext new file mode 100644 index 000000000..4dfa2f6b5 --- /dev/null +++ b/demos/ppl_lcdd/examples/cyclic12-6.ext @@ -0,0 +1,18 @@ +* 5-dim cyclic polytope with12 vertices +* Number of facets (outputs) =72 +V-representation +begin +12 6 integer + 1 1 1 1 1 1 + 1 2 4 8 16 32 + 1 3 9 27 81 243 + 1 4 16 64 256 1024 + 1 5 25 125 625 3125 + 1 6 36 216 1296 7776 + 1 7 49 343 2401 16807 + 1 8 64 512 4096 32768 + 1 9 81 729 6561 59049 + 1 10 100 1000 10000 100000 + 1 11 121 1331 14641 161051 + 1 12 144 1728 20736 248832 +end diff --git a/demos/ppl_lcdd/examples/cyclic14-8.ext b/demos/ppl_lcdd/examples/cyclic14-8.ext new file mode 100644 index 000000000..df59976b5 --- /dev/null +++ b/demos/ppl_lcdd/examples/cyclic14-8.ext @@ -0,0 +1,20 @@ +* 7-dim cyclic polytope with 14 vertices +* Number of facets (outputs) =240 +V-representation +begin +14 8 integer + 1 1 1 1 1 1 1 1 + 1 2 4 8 16 32 64 128 + 1 3 9 27 81 243 729 2187 + 1 4 16 64 256 1024 4096 16384 + 1 5 25 125 625 3125 15625 78125 + 1 6 36 216 1296 7776 46656 279936 + 1 7 49 343 2401 16807 117649 823543 + 1 8 64 512 4096 32768 262144 2097152 + 1 9 81 729 6561 59049 531441 4782969 + 1 10 100 1000 10000 100000 1000000 10000000 + 1 11 121 1331 14641 161051 1771561 19487171 + 1 12 144 1728 20736 248832 2985984 35831808 + 1 13 169 2197 28561 371293 4826809 62748517 + 1 14 196 2744 38416 537824 7529536 105413504 +end diff --git a/demos/ppl_lcdd/examples/cyclic16-10.ext b/demos/ppl_lcdd/examples/cyclic16-10.ext new file mode 100644 index 000000000..c7d90da5b --- /dev/null +++ b/demos/ppl_lcdd/examples/cyclic16-10.ext @@ -0,0 +1,23 @@ +* 9-dim cyclic polytope with 16 vertices +* Number of facets (outputs) =660 +* This must be computed with exact arithmetic +V-representation +begin +16 10 integer + 1 1 1 1 1 1 1 1 1 1 + 1 2 4 8 16 32 64 128 256 512 + 1 3 9 27 81 243 729 2187 6561 19683 + 1 4 16 64 256 1024 4096 16384 65536 262144 + 1 5 25 125 625 3125 15625 78125 390625 1953125 + 1 6 36 216 1296 7776 46656 279936 1679616 10077696 + 1 7 49 343 2401 16807 117649 823543 5764801 40353607 + 1 8 64 512 4096 32768 262144 2097152 16777216 134217728 + 1 9 81 729 6561 59049 531441 4782969 43046721 387420489 + 1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 + 1 11 121 1331 14641 161051 1771561 19487171 214358881 2357947691 + 1 12 144 1728 20736 248832 2985984 35831808 429981696 5159780352 + 1 13 169 2197 28561 371293 4826809 62748517 815730721 10604499373 + 1 14 196 2744 38416 537824 7529536 105413504 1475789056 20661046784 + 1 15 225 3375 50625 759375 11390625 170859375 2562890625 38443359375 + 1 16 256 4096 65536 1048576 16777216 268435456 4294967296 68719476736 +end diff --git a/demos/ppl_lcdd/examples/cyclic17_8.ine b/demos/ppl_lcdd/examples/cyclic17_8.ine new file mode 100644 index 000000000..af885fc40 --- /dev/null +++ b/demos/ppl_lcdd/examples/cyclic17_8.ine @@ -0,0 +1,20 @@ +begin +17 9 integer +1 -72 516 -4608 36156 -294912 2349516 -18874368 150850236 +1 -63 381 -3087 20901 -151263 1049061 -7411887 51738501 +1 -54 264 -1944 10956 -69984 410124 -2519424 14971836 +1 -45 165 -1125 4917 -28125 130845 -703125 3370917 +1 -36 84 -576 1596 -9216 27084 -147456 445116 +1 -27 21 -243 21 -2187 -3219 -19683 -85659 +1 -18 -24 -72 -564 -288 -9204 -1152 -142404 +1 -9 -51 -9 -699 -9 -9771 -9 -144699 +1 0 -60 0 -708 0 -9780 0 -144708 +1 9 -51 9 -699 9 -9771 9 -144699 +1 18 -24 72 -564 288 -9204 1152 -142404 +1 27 21 243 21 2187 -3219 19683 -85659 +1 36 84 576 1596 9216 27084 147456 445116 +1 45 165 1125 4917 28125 130845 703125 3370917 +1 54 264 1944 10956 69984 410124 2519424 14971836 +1 63 381 3087 20901 151263 1049061 7411887 51738501 +1 72 516 4608 36156 294912 2349516 18874368 150850236 +end diff --git a/demos/ppl_lcdd/examples/cyclic25_13.ext b/demos/ppl_lcdd/examples/cyclic25_13.ext new file mode 100644 index 000000000..fdd1448ef --- /dev/null +++ b/demos/ppl_lcdd/examples/cyclic25_13.ext @@ -0,0 +1,54 @@ +H-representation +begin +25 13 integer +1 -156 1690 -22464 265018 -3234816 38683450 -465813504 +5585476858 -67077144576 804783054010 -9659108818944 115904429355898 +1 -143 1391 -17303 185783 -2093663 22895951 -253333223 +2782380263 -30653319983 337043838911 -3709051717943 40794692425943 +1 -130 1118 -13000 125450 -1300000 12865658 -130000000 +1295714810 -13000000000 129857319098 -1300000000000 12995123528570 +1 -117 871 -9477 80743 -767637 6774391 -62178597 555322183 +-5036466357 45185516311 -407953774917 3666707502823 +1 -104 650 -6656 48698 -425984 3273530 -27262976 213818618 +-1744830464 13815962810 -111669149696 888476726138 +1 -91 455 -4459 26663 -218491 1395095 -10706059 70657223 +-524596891 3529497335 -25705247659 175060262183 +1 -78 286 -2808 12298 -101088 472186 -3639168 17549818 +-131010048 643379386 -4716361728 23421698938 +1 -65 143 -1625 3575 -40625 68783 -1015625 792935 -25390625 + -15727777 -634765625 -1702643305 +1 -52 26 -832 -1222 -13312 -81094 -212992 -3433222 -3407872 + -129049414 -54525952 -4658367622 +1 -39 -65 -351 -3497 -3159 -124865 -28431 -4199897 -255879 +-141913265 -2302911 -4869562697 +1 -26 -130 -104 -4342 -416 -133510 -1664 -4281862 -6656 +-142667590 -26624 -4876418182 +1 -13 -169 -13 -4537 -13 -134329 -13 -4285177 -13 +-142680889 -13 -4876471417 +1 0 -182 0 -4550 0 -134342 0 -4285190 0 -142680902 0 +-4876471430 +1 13 -169 13 -4537 13 -134329 13 -4285177 13 -142680889 +13 -4876471417 +1 26 -130 104 -4342 416 -133510 1664 -4281862 6656 +-142667590 26624 -4876418182 +1 39 -65 351 -3497 3159 -124865 28431 -4199897 255879 +-141913265 2302911 -4869562697 +1 52 26 832 -1222 13312 -81094 212992 -3433222 3407872 +-129049414 54525952 -4658367622 +1 65 143 1625 3575 40625 68783 1015625 792935 25390625 +-15727777 634765625 -1702643305 +1 78 286 2808 12298 101088 472186 3639168 17549818 131010048 + 643379386 4716361728 23421698938 +1 91 455 4459 26663 218491 1395095 10706059 70657223 +524596891 3529497335 25705247659 175060262183 +1 104 650 6656 48698 425984 3273530 27262976 213818618 +1744830464 13815962810 111669149696 888476726138 +1 117 871 9477 80743 767637 6774391 62178597 555322183 +5036466357 45185516311 407953774917 3666707502823 +1 130 1118 13000 125450 1300000 12865658 130000000 1295714810 + 13000000000 129857319098 1300000000000 12995123528570 +1 143 1391 17303 185783 2093663 22895951 253333223 2782380263 + 30653319983 337043838911 3709051717943 40794692425943 +1 156 1690 22464 265018 3234816 38683450 465813504 5585476858 + 67077144576 804783054010 9659108818944 115904429355898 +end diff --git a/demos/ppl_lcdd/examples/dcube10.ext b/demos/ppl_lcdd/examples/dcube10.ext new file mode 100644 index 000000000..67db3196c --- /dev/null +++ b/demos/ppl_lcdd/examples/dcube10.ext @@ -0,0 +1,24 @@ +V-representation +begin +20 11 rational +1 0 0 0 0 0 0 0 0 0 1 +1 0 0 0 0 0 0 0 0 0 -1 +1 0 0 0 0 0 0 0 0 1 0 +1 0 0 0 0 0 0 0 0 -1 0 +1 0 0 0 0 0 0 0 1 0 0 +1 0 0 0 0 0 0 0 -1 0 0 +1 0 0 0 0 0 0 1 0 0 0 +1 0 0 0 0 0 0 -1 0 0 0 +1 0 0 0 0 0 1 0 0 0 0 +1 0 0 0 0 0 -1 0 0 0 0 +1 0 0 0 0 1 0 0 0 0 0 +1 0 0 0 0 -1 0 0 0 0 0 +1 0 0 0 1 0 0 0 0 0 0 +1 0 0 0 -1 0 0 0 0 0 0 +1 0 0 1 0 0 0 0 0 0 0 +1 0 0 -1 0 0 0 0 0 0 0 +1 0 1 0 0 0 0 0 0 0 0 +1 0 -1 0 0 0 0 0 0 0 0 +1 1 0 0 0 0 0 0 0 0 0 +1 -1 0 0 0 0 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/dcube12.ext b/demos/ppl_lcdd/examples/dcube12.ext new file mode 100644 index 000000000..0e4b7f54f --- /dev/null +++ b/demos/ppl_lcdd/examples/dcube12.ext @@ -0,0 +1,28 @@ +V-representation +begin +24 13 rational +1 0 0 0 0 0 0 0 0 0 0 0 1 +1 0 0 0 0 0 0 0 0 0 0 0 -1 +1 0 0 0 0 0 0 0 0 0 0 1 0 +1 0 0 0 0 0 0 0 0 0 0 -1 0 +1 0 0 0 0 0 0 0 0 0 1 0 0 +1 0 0 0 0 0 0 0 0 0 -1 0 0 +1 0 0 0 0 0 0 0 0 1 0 0 0 +1 0 0 0 0 0 0 0 0 -1 0 0 0 +1 0 0 0 0 0 0 0 1 0 0 0 0 +1 0 0 0 0 0 0 0 -1 0 0 0 0 +1 0 0 0 0 0 0 1 0 0 0 0 0 +1 0 0 0 0 0 0 -1 0 0 0 0 0 +1 0 0 0 0 0 1 0 0 0 0 0 0 +1 0 0 0 0 0 -1 0 0 0 0 0 0 +1 0 0 0 0 1 0 0 0 0 0 0 0 +1 0 0 0 0 -1 0 0 0 0 0 0 0 +1 0 0 0 1 0 0 0 0 0 0 0 0 +1 0 0 0 -1 0 0 0 0 0 0 0 0 +1 0 0 1 0 0 0 0 0 0 0 0 0 +1 0 0 -1 0 0 0 0 0 0 0 0 0 +1 0 1 0 0 0 0 0 0 0 0 0 0 +1 0 -1 0 0 0 0 0 0 0 0 0 0 +1 1 0 0 0 0 0 0 0 0 0 0 0 +1 -1 0 0 0 0 0 0 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/dcube3.ext b/demos/ppl_lcdd/examples/dcube3.ext new file mode 100644 index 000000000..5702d28a4 --- /dev/null +++ b/demos/ppl_lcdd/examples/dcube3.ext @@ -0,0 +1,10 @@ +V-representation +begin +6 4 rational +1 0 0 1 +1 0 0 -1 +1 0 1 0 +1 0 -1 0 +1 1 0 0 +1 -1 0 0 +end diff --git a/demos/ppl_lcdd/examples/dcube6.ext b/demos/ppl_lcdd/examples/dcube6.ext new file mode 100644 index 000000000..43861a001 --- /dev/null +++ b/demos/ppl_lcdd/examples/dcube6.ext @@ -0,0 +1,16 @@ +V-representation +begin +12 7 rational +1 0 0 0 0 0 1 +1 0 0 0 0 0 -1 +1 0 0 0 0 1 0 +1 0 0 0 0 -1 0 +1 0 0 0 1 0 0 +1 0 0 0 -1 0 0 +1 0 0 1 0 0 0 +1 0 0 -1 0 0 0 +1 0 1 0 0 0 0 +1 0 -1 0 0 0 0 +1 1 0 0 0 0 0 +1 -1 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/dcube8.ext b/demos/ppl_lcdd/examples/dcube8.ext new file mode 100644 index 000000000..d15179741 --- /dev/null +++ b/demos/ppl_lcdd/examples/dcube8.ext @@ -0,0 +1,20 @@ +V-representation +begin +16 9 rational +1 0 0 0 0 0 0 0 1 +1 0 0 0 0 0 0 0 -1 +1 0 0 0 0 0 0 1 0 +1 0 0 0 0 0 0 -1 0 +1 0 0 0 0 0 1 0 0 +1 0 0 0 0 0 -1 0 0 +1 0 0 0 0 1 0 0 0 +1 0 0 0 0 -1 0 0 0 +1 0 0 0 1 0 0 0 0 +1 0 0 0 -1 0 0 0 0 +1 0 0 1 0 0 0 0 0 +1 0 0 -1 0 0 0 0 0 +1 0 1 0 0 0 0 0 0 +1 0 -1 0 0 0 0 0 0 +1 1 0 0 0 0 0 0 0 +1 -1 0 0 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/diamond.ine b/demos/ppl_lcdd/examples/diamond.ine new file mode 100644 index 000000000..8522f1c1a --- /dev/null +++ b/demos/ppl_lcdd/examples/diamond.ine @@ -0,0 +1,10 @@ +* Unit diamond centred at origin +* Last two inequalities define vertex (-1/2,0) +begin +4 3 rational +1/2 -1 -1 +1/2 -1 1 +1/2 1 -1 +1/2 1 1 +end + diff --git a/demos/ppl_lcdd/examples/dodeca_m.ine b/demos/ppl_lcdd/examples/dodeca_m.ine new file mode 100644 index 000000000..6599d7872 --- /dev/null +++ b/demos/ppl_lcdd/examples/dodeca_m.ine @@ -0,0 +1,17 @@ +* dodecahedron inequalities +H-representation +begin +12 4 integer +562949953421312 -562949953421312 0 -347922205179541 +562949953421312 -562949953421312 0 347922205179541 +562949953421312 -347922205179541 -562949953421312 0 +562949953421312 -347922205179541 562949953421312 0 +562949953421312 0 -347922205179541 -562949953421312 +562949953421312 0 -347922205179541 562949953421312 +562949953421312 0 347922205179541 -562949953421312 +562949953421312 0 347922205179541 562949953421312 +562949953421312 347922205179541 -562949953421312 0 +562949953421312 347922205179541 562949953421312 0 +562949953421312 562949953421312 0 -347922205179541 +562949953421312 562949953421312 0 347922205179541 +end diff --git a/demos/ppl_lcdd/examples/ex1.ine b/demos/ppl_lcdd/examples/ex1.ine new file mode 100644 index 000000000..790b89774 --- /dev/null +++ b/demos/ppl_lcdd/examples/ex1.ine @@ -0,0 +1,10 @@ +* 2 dimensional polyhedron with three vertices (0,3), (-1, 4) and (-1,10) and +* two extremal rays (2,1) and (1,2). +H-representation +begin + 4 3 integer + 12 2 -1 + -6 -1 2 + -3 1 1 + 1 1 0 +end diff --git a/demos/ppl_lcdd/examples/grcubocta.ine b/demos/ppl_lcdd/examples/grcubocta.ine new file mode 100644 index 000000000..9fd74c42f --- /dev/null +++ b/demos/ppl_lcdd/examples/grcubocta.ine @@ -0,0 +1,31 @@ +* Great rhombicuboctahedron +H-representation +begin + 26 4 integer + 1 1 0 0 + 1 0 1 0 + 1 0 0 1 + 1 -1 0 0 + 1 0 -1 0 + 1 0 0 -1 + 2 1 1 1 + 2 -1 1 1 + 2 1 -1 1 + 2 1 1 -1 + 2 -1 -1 1 + 2 1 -1 -1 + 2 -1 1 -1 + 2 -1 -1 -1 + 5 3 3 0 + 5 0 3 3 + 5 3 0 3 + 5 -3 3 0 + 5 0 -3 3 + 5 3 0 -3 + 5 3 -3 0 + 5 0 3 -3 + 5 -3 0 3 + 5 -3 -3 0 + 5 0 -3 -3 + 5 -3 0 -3 +end diff --git a/demos/ppl_lcdd/examples/hexocta.ine b/demos/ppl_lcdd/examples/hexocta.ine new file mode 100644 index 000000000..57ffede41 --- /dev/null +++ b/demos/ppl_lcdd/examples/hexocta.ine @@ -0,0 +1,54 @@ +* Hexakis octahedron +H-representation +begin + 48 4 integer + 3 -3 1 -2 + 3 -2 -1 -3 + 3 -2 1 -3 + 3 -3 -1 -2 + 3 -2 3 -1 + 3 -2 3 1 + 3 -3 2 -1 + 3 -3 2 1 + 3 1 -3 2 + 3 1 -2 3 + 3 -1 -3 2 + 3 -1 -2 3 + 3 1 2 3 + 3 1 3 2 + 3 -1 2 3 + 3 -1 3 2 + 3 3 1 -2 + 3 2 -1 -3 + 3 3 -1 -2 + 3 2 1 -3 + 3 2 3 -1 + 3 3 2 -1 + 3 2 3 1 + 3 3 2 1 + 3 2 1 3 + 3 3 -1 2 + 3 2 -1 3 + 3 3 1 2 + 3 2 -3 1 + 3 2 -3 -1 + 3 3 -2 1 + 3 3 -2 -1 + 3 -1 3 -2 + 3 -1 2 -3 + 3 1 3 -2 + 3 1 2 -3 + 3 -1 -2 -3 + 3 -1 -3 -2 + 3 1 -2 -3 + 3 1 -3 -2 + 3 -3 -1 2 + 3 -2 1 3 + 3 -2 -1 3 + 3 -3 1 2 + 3 -2 -3 1 + 3 -2 -3 -1 + 3 -3 -2 1 + 3 -3 -2 -1 +end + diff --git a/demos/ppl_lcdd/examples/icododeca_m.ine b/demos/ppl_lcdd/examples/icododeca_m.ine new file mode 100644 index 000000000..3f095ec50 --- /dev/null +++ b/demos/ppl_lcdd/examples/icododeca_m.ine @@ -0,0 +1,39 @@ +* Icosidodecahedron +% rational numbers appearing here are [approximations of] +% -3-5^(1/2), -1-5^(1/2) and their negatives. +H-representation +begin +32 4 integer +2251799813685248 -11790576896177794 -7286977268807297 0 +2251799813685248 -11790576896177794 7286977268807297 0 +2251799813685248 -7286977268807297 -7286977268807297 -7286977268807297 +2251799813685248 -7286977268807297 -7286977268807297 7286977268807297 +2251799813685248 -7286977268807297 0 -11790576896177794 +2251799813685248 -7286977268807297 0 11790576896177794 +2251799813685248 -7286977268807297 7286977268807297 -7286977268807297 +2251799813685248 -7286977268807297 7286977268807297 7286977268807297 +1125899906842624 -5895288448088897 0 -2251799813685248 +1125899906842624 -5895288448088897 0 2251799813685248 +1125899906842624 -2251799813685248 -5895288448088897 0 +1125899906842624 -2251799813685248 5895288448088897 0 +2251799813685248 0 -11790576896177794 -7286977268807297 +2251799813685248 0 -11790576896177794 7286977268807297 +1125899906842624 0 -2251799813685248 -5895288448088897 +1125899906842624 0 -2251799813685248 5895288448088897 +1125899906842624 0 2251799813685248 -5895288448088897 +1125899906842624 0 2251799813685248 5895288448088897 +2251799813685248 0 11790576896177794 -7286977268807297 +2251799813685248 0 11790576896177794 7286977268807297 +1125899906842624 2251799813685248 -5895288448088897 0 +1125899906842624 2251799813685248 5895288448088897 0 +1125899906842624 5895288448088897 0 -2251799813685248 +1125899906842624 5895288448088897 0 2251799813685248 +2251799813685248 7286977268807297 -7286977268807297 -7286977268807297 +2251799813685248 7286977268807297 -7286977268807297 7286977268807297 +2251799813685248 7286977268807297 0 -11790576896177794 +2251799813685248 7286977268807297 0 11790576896177794 +2251799813685248 7286977268807297 7286977268807297 -7286977268807297 +2251799813685248 7286977268807297 7286977268807297 7286977268807297 +2251799813685248 11790576896177794 -7286977268807297 0 +2251799813685248 11790576896177794 7286977268807297 0 +end diff --git a/demos/ppl_lcdd/examples/in0.ine b/demos/ppl_lcdd/examples/in0.ine new file mode 100644 index 000000000..8c3d751c7 --- /dev/null +++ b/demos/ppl_lcdd/examples/in0.ine @@ -0,0 +1,11 @@ +begin +8 6 integer +9 -2 -3 -3 -2 -2 +9 -2 0 0 2 0 +9 -2 -1 -1 -1 -3 +0 1 0 0 0 0 +0 0 1 0 0 0 +0 0 0 1 0 0 +0 0 0 0 1 0 +0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/in1.ine b/demos/ppl_lcdd/examples/in1.ine new file mode 100644 index 000000000..e231e5256 --- /dev/null +++ b/demos/ppl_lcdd/examples/in1.ine @@ -0,0 +1,37 @@ +begin +34 5 integer +1 -299 -534 815 807 +1 -887 -399 -867 -543 +1 683 632 958 -181 +1 -756 681 -658 470 +1 -99 135 -921 -825 +1 -795 -874 -286 732 +1 43 -567 588 -143 +1 -955 414 -159 -378 +1 -235 -695 947 166 +1 957 853 -194 -258 +1 487 -914 -100 -991 +1 -515 -786 -169 200 +1 954 -758 -178 985 +1 505 -970 400 -211 +1 714 997 401 661 +1 -475 618 459 775 +1 -219 704 -111 -876 +1 152 -390 -629 984 +1 -240 -621 -62 583 +1 -76 531 -606 -676 +1 490 -519 -240 -109 +1 -635 860 -798 825 +1 5 49 781 895 +1 495 490 -774 866 +1 -78 69 853 861 +1 -340 228 -374 498 +1 390 -12 -524 -408 +1 -382 -42 -376 264 +1 -299 -731 -283 -518 +1 892 -581 654 -439 +0 1 0 0 0 +0 0 1 0 0 +0 0 0 1 0 +0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/in2.ine b/demos/ppl_lcdd/examples/in2.ine new file mode 100644 index 000000000..cb491128c --- /dev/null +++ b/demos/ppl_lcdd/examples/in2.ine @@ -0,0 +1,19 @@ +begin +16 6 integer +1 -1 0 -1 0 0 +1 -1 0 0 0 -1 +1 0 -1 -1 0 0 +1 0 -1 0 -1 0 +1 0 0 0 -1 -1 +0 -1 1 0 0 1 +0 1 -1 0 1 0 +0 0 0 -1 1 1 +0 0 1 1 -1 0 +0 1 0 1 0 -1 +2 -1 -1 -1 -1 -1 +0 1 0 0 0 0 +0 0 1 0 0 0 +0 0 0 1 0 0 +0 0 0 0 1 0 +0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/in3.ine b/demos/ppl_lcdd/examples/in3.ine new file mode 100644 index 000000000..a5db73234 --- /dev/null +++ b/demos/ppl_lcdd/examples/in3.ine @@ -0,0 +1,16 @@ +begin +13 7 integer +0 1 -1 0 1 0 0 +0 0 -1 1 0 0 1 +0 -1 1 0 1 0 0 +0 -1 0 1 0 1 0 +0 0 1 -1 0 0 1 +0 1 1 0 -1 0 0 +0 0 0 0 -1 1 1 +0 1 0 1 0 -1 0 +0 0 0 0 1 -1 1 +0 0 1 1 0 0 -1 +0 0 0 0 1 1 -1 +0 1 0 -1 0 1 0 +12 -1 -1 -1 -1 -1 -1 +end diff --git a/demos/ppl_lcdd/examples/in4.ine b/demos/ppl_lcdd/examples/in4.ine new file mode 100644 index 000000000..8c11b9538 --- /dev/null +++ b/demos/ppl_lcdd/examples/in4.ine @@ -0,0 +1,15 @@ +begin +12 8 integer +10 -8 -1 -2 -3 -3 -2 -2 +10 8 -2 -2 0 0 2 0 +10 -11 3 -2 -1 -1 -1 -3 +5 23 -4 -2 -3 0 0 1 +27 5 -4 -1 3 9 11 -12 +0 1 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 +0 0 0 1 0 0 0 0 +0 0 0 0 1 0 0 0 +0 0 0 0 0 1 0 0 +0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/in5.ine b/demos/ppl_lcdd/examples/in5.ine new file mode 100644 index 000000000..e429d0ba0 --- /dev/null +++ b/demos/ppl_lcdd/examples/in5.ine @@ -0,0 +1,17 @@ +begin +14 10 integer +10 2 3 -8 -1 -2 -3 -3 -2 -2 +10 -6 33 8 -2 -2 0 0 2 0 +10 93 3 -11 3 -2 -1 -1 -1 -3 +5 -9 21 23 -4 -2 -3 0 0 1 +27 31 23 5 -4 -1 3 9 11 -12 +0 1 0 0 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 0 0 +0 0 0 1 0 0 0 0 0 0 +0 0 0 0 1 0 0 0 0 0 +0 0 0 0 0 1 0 0 0 0 +0 0 0 0 0 0 1 0 0 0 +0 0 0 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/in6.ine b/demos/ppl_lcdd/examples/in6.ine new file mode 100644 index 000000000..faa493a77 --- /dev/null +++ b/demos/ppl_lcdd/examples/in6.ine @@ -0,0 +1,26 @@ +begin +23 11 integer +1 1 1 1 1 1 1 1 1 1 0 +2 -2 -3 8 1 2 3 3 2 2 -9 +3 6 -3 -8 2 2 0 0 -2 0 -9 +4 -9 -3 1 -3 2 1 1 1 3 -9 +5 9 -2 -2 4 2 3 0 0 -1 -5 +6 -3 -2 -5 4 1 -3 -9 -1 2 -7 +7 -9 -3 -5 -2 2 4 -2 4 -1 -7 +8 -8 -4 5 -2 2 4 -2 4 -1 -7 +9 -7 -5 -5 -2 2 4 -2 4 -1 -7 +10 -6 -6 5 -2 2 4 -2 4 -1 -7 +11 -5 -7 -5 -2 2 4 -2 4 -1 -7 +12 -4 -8 5 -2 2 4 -2 4 -1 -7 +13 -3 -9 -5 -2 2 4 -2 4 -1 -7 +0 1 0 0 0 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 0 0 0 +0 0 0 1 0 0 0 0 0 0 0 +0 0 0 0 1 0 0 0 0 0 0 +0 0 0 0 0 1 0 0 0 0 0 +0 0 0 0 0 0 1 0 0 0 0 +0 0 0 0 0 0 0 1 0 0 0 +0 0 0 0 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/in7.ine b/demos/ppl_lcdd/examples/in7.ine new file mode 100644 index 000000000..5e8276224 --- /dev/null +++ b/demos/ppl_lcdd/examples/in7.ine @@ -0,0 +1,23 @@ +begin +20 11 integer +10000 -915 -828 -303 -632 -786 -231 -12 -568 -351 -308 +10000 -930 -217 -480 -704 -700 -91 -441 -927 -33 -330 +10000 -765 -616 -962 -274 -276 -39 -924 -541 -444 -838 +10000 -747 -470 -506 -329 -481 -425 -679 -140 -764 -960 +10000 -243 -664 -760 -333 -456 -686 -717 -137 -721 -833 +10000 -682 -107 -380 -720 -382 -920 -164 -220 -640 -262 +10000 -145 -942 -873 -570 -973 -365 -685 -932 -424 -928 +10000 -183 -612 -402 -869 -681 -539 -941 -513 -290 -622 +10000 -669 -694 -353 -941 -209 -572 -580 -822 -964 -725 +10000 -188 -646 -87 -552 -330 -19 -976 -609 -965 -158 +0 1 0 0 0 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 0 0 0 +0 0 0 1 0 0 0 0 0 0 0 +0 0 0 0 1 0 0 0 0 0 0 +0 0 0 0 0 1 0 0 0 0 0 +0 0 0 0 0 0 1 0 0 0 0 +0 0 0 0 0 0 0 1 0 0 0 +0 0 0 0 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/infeas.ine b/demos/ppl_lcdd/examples/infeas.ine new file mode 100644 index 000000000..0f2a49644 --- /dev/null +++ b/demos/ppl_lcdd/examples/infeas.ine @@ -0,0 +1,18 @@ +* The empty polytope. No vertices and rays. +H-representation +begin + 13 7 integer + 0 1 0 0 0 0 0 + 0 0 1 0 0 0 0 + 0 0 0 1 0 0 0 + 0 0 0 0 1 0 0 + 0 0 0 0 0 1 0 + 0 0 0 0 0 0 1 + 1 -1 0 0 0 0 0 + 1 0 -1 0 0 0 0 + 1 0 0 -1 0 0 0 + 1 0 0 0 -1 0 0 + 1 0 0 0 0 -1 0 + 1 0 0 0 0 0 -1 + -2 1 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/integralpoints.ine b/demos/ppl_lcdd/examples/integralpoints.ine new file mode 100644 index 000000000..8f75e2707 --- /dev/null +++ b/demos/ppl_lcdd/examples/integralpoints.ine @@ -0,0 +1,36 @@ +* This input file is an example for generating +* integral solutions to the following system of linear inequalities: +* 10 x1 + 7 x2 <= 70 +* 11 x1 + 5 x2 >= 55 +* x1 >= 0, x2 >= 0 +* By using the fact that 0<=x1<=7 and 0<=x2<=10, we apply +* the (binary representation) substitution: + x1 = 4 x13 + 2 x12 + x11 (all binary variables) + x2 = 8 x24 + 4 x23 + 2 x22 + x21 (all binary variables) +* The reduced system of linear inequalities is the input data. +* Since all integral (i.e. 0-1) solutions are extreme points, +* the integral extreme points are in one-to-one correspondence +* with the integral solutions to the original system. In this +* example, there are 194 extreme points among which 10 are +* integral (0-1) solutions. + +H-representation +begin + 16 8 integer + 0 1 0 0 0 0 0 0 + 0 0 1 0 0 0 0 0 + 0 0 0 1 0 0 0 0 + 0 0 0 0 1 0 0 0 + 0 0 0 0 0 1 0 0 + 0 0 0 0 0 0 1 0 + 0 0 0 0 0 0 0 1 + 1 -1 0 0 0 0 0 0 + 1 0 -1 0 0 0 0 0 + 1 0 0 -1 0 0 0 0 + 1 0 0 0 -1 0 0 0 + 1 0 0 0 0 -1 0 0 + 1 0 0 0 0 0 -1 0 + 1 0 0 0 0 0 0 -1 + 70 -40 -20 -10 -56 -28 -14 -7 + -55 44 22 11 40 20 10 5 +end diff --git a/demos/ppl_lcdd/examples/irbox20-4.ext b/demos/ppl_lcdd/examples/irbox20-4.ext new file mode 100644 index 000000000..8fba2990a --- /dev/null +++ b/demos/ppl_lcdd/examples/irbox20-4.ext @@ -0,0 +1,25 @@ +* Randomly generated 20 integral points in [-100..100]^3 +V-representation +begin + 20 4 integer + 1 -45 1 47 + 1 -34 19 4 + 1 5 -11 28 + 1 17 -43 17 + 1 -46 8 -15 + 1 35 -26 -6 + 1 41 -3 -8 + 1 -39 41 34 + 1 -46 49 40 + 1 -18 -29 46 + 1 -20 -25 -2 + 1 -22 -9 -32 + 1 31 46 5 + 1 10 14 11 + 1 -22 17 -29 + 1 12 3 -5 + 1 -44 -5 40 + 1 -2 4 32 + 1 -18 8 31 + 1 -27 40 -48 +end diff --git a/demos/ppl_lcdd/examples/irbox200-4.ext b/demos/ppl_lcdd/examples/irbox200-4.ext new file mode 100644 index 000000000..d218b3327 --- /dev/null +++ b/demos/ppl_lcdd/examples/irbox200-4.ext @@ -0,0 +1,205 @@ +* Randomly generated 200 integral points in [-100..100]^3 +V-representation +begin + 200 4 integer + 1 12 -49 2 + 1 -38 25 -3 + 1 -26 39 -7 + 1 -25 28 44 + 1 -20 -41 -31 + 1 49 45 28 + 1 -42 12 -25 + 1 -9 -31 -20 + 1 49 5 33 + 1 15 34 30 + 1 -18 -3 31 + 1 34 8 6 + 1 -19 31 -4 + 1 23 -44 -25 + 1 17 -14 -16 + 1 36 -14 -20 + 1 15 -7 42 + 1 39 33 -39 + 1 -30 33 15 + 1 -46 -1 0 + 1 33 30 47 + 1 14 14 5 + 1 -28 45 -13 + 1 17 18 -7 + 1 41 -13 27 + 1 -24 -27 -36 + 1 5 37 5 + 1 -2 27 -11 + 1 7 47 -28 + 1 -26 -49 20 + 1 24 34 0 + 1 21 0 -35 + 1 -23 20 -39 + 1 13 -12 28 + 1 -44 -20 -35 + 1 33 4 -12 + 1 46 -39 -25 + 1 2 7 -47 + 1 41 -34 49 + 1 -36 -11 -49 + 1 33 -37 34 + 1 -16 34 -15 + 1 -1 -39 -45 + 1 8 23 -8 + 1 -12 29 21 + 1 2 13 -23 + 1 39 10 -13 + 1 -36 -37 43 + 1 -34 -46 -41 + 1 -34 -32 -2 + 1 -33 -49 10 + 1 -48 -15 -5 + 1 -14 33 4 + 1 -10 -7 -21 + 1 31 29 -42 + 1 2 -18 21 + 1 29 -29 -18 + 1 -34 -15 -6 + 1 -41 0 -2 + 1 -32 16 14 + 1 14 32 15 + 1 -25 33 -49 + 1 19 -31 33 + 1 -26 8 -24 + 1 2 -10 -44 + 1 9 42 -12 + 1 -19 21 8 + 1 12 37 43 + 1 -44 45 -6 + 1 3 -36 -40 + 1 -31 27 42 + 1 33 -47 25 + 1 33 21 43 + 1 17 45 1 + 1 43 -2 41 + 1 49 -42 34 + 1 -13 -11 5 + 1 45 -49 -7 + 1 38 -43 -11 + 1 -18 10 2 + 1 -8 28 -19 + 1 -16 12 -17 + 1 -40 -4 -45 + 1 -46 -36 -49 + 1 5 -43 -2 + 1 -3 -44 5 + 1 -18 -7 43 + 1 36 -12 44 + 1 -20 -24 -49 + 1 18 7 10 + 1 -29 48 -10 + 1 0 -17 -48 + 1 33 -8 -2 + 1 37 -4 10 + 1 38 -49 17 + 1 -14 -2 22 + 1 41 28 -35 + 1 35 15 2 + 1 29 44 27 + 1 30 13 -15 + 1 -8 33 -16 + 1 30 -16 15 + 1 31 -32 -42 + 1 -20 -44 3 + 1 39 43 3 + 1 6 -20 -49 + 1 -20 -29 29 + 1 -5 -44 -5 + 1 46 34 -11 + 1 24 15 -48 + 1 -41 -43 35 + 1 -8 37 -30 + 1 -42 19 -13 + 1 -34 48 -8 + 1 18 37 -15 + 1 -27 -5 13 + 1 -27 23 33 + 1 -48 -32 39 + 1 -3 -35 23 + 1 34 38 -10 + 1 36 47 -4 + 1 22 -11 -17 + 1 41 -3 -47 + 1 -22 12 -49 + 1 18 -18 37 + 1 -46 3 -17 + 1 17 26 -44 + 1 1 28 -26 + 1 -9 -25 -11 + 1 -35 -40 -23 + 1 3 46 -26 + 1 49 18 12 + 1 -18 9 -40 + 1 -16 37 21 + 1 -15 5 -46 + 1 -27 9 6 + 1 4 -23 -16 + 1 10 27 -38 + 1 34 -31 -14 + 1 -27 -17 -4 + 1 -1 35 -8 + 1 22 34 -40 + 1 -15 -33 19 + 1 -5 0 6 + 1 -33 34 -37 + 1 -30 -43 21 + 1 26 11 48 + 1 -40 -28 26 + 1 -29 -43 44 + 1 6 -21 -23 + 1 -48 27 -38 + 1 -7 0 46 + 1 2 34 -36 + 1 -28 -21 13 + 1 27 -5 -1 + 1 39 14 5 + 1 11 -9 -33 + 1 9 0 -11 + 1 -14 20 -5 + 1 -20 -22 23 + 1 6 -21 0 + 1 18 21 49 + 1 14 -25 34 + 1 27 -4 -37 + 1 -8 -26 7 + 1 39 -36 -27 + 1 -4 24 13 + 1 11 -15 -36 + 1 -49 20 33 + 1 -4 49 -38 + 1 -31 6 -10 + 1 18 -25 -38 + 1 18 39 -13 + 1 2 17 32 + 1 14 -41 -44 + 1 -27 48 -31 + 1 -5 -6 43 + 1 -42 -44 -22 + 1 -29 -44 48 + 1 -45 1 47 + 1 -34 19 4 + 1 5 -11 28 + 1 17 -43 17 + 1 -46 8 -15 + 1 35 -26 -6 + 1 41 -3 -8 + 1 -39 41 34 + 1 -46 49 40 + 1 -18 -29 46 + 1 -20 -25 -2 + 1 -22 -9 -32 + 1 31 46 5 + 1 10 14 11 + 1 -22 17 -29 + 1 12 3 -5 + 1 -44 -5 40 + 1 -2 4 32 + 1 -18 8 31 + 1 -27 40 -48 + 1 -31 -29 -23 +end diff --git a/demos/ppl_lcdd/examples/kkd18_4.ine b/demos/ppl_lcdd/examples/kkd18_4.ine new file mode 100644 index 000000000..ad6b26b31 --- /dev/null +++ b/demos/ppl_lcdd/examples/kkd18_4.ine @@ -0,0 +1,25 @@ +* This must be computed with rational arithmetic. +H-representation +begin +18 5 integer +3976210973720 -5964591245895 -33802508475500 -161110322828670 +-745886931169976 +5 -10 -50 -220 -974 +5 -5 -35 -185 -899 +5 0 -10 -90 -574 +5 5 25 95 301 +5 10 70 400 2146 +5 15 125 855 5501 +5 20 190 1490 11026 +5 25 265 2335 19501 +5 30 350 3420 31826 +5 35 445 4775 49021 +5 40 550 6430 72226 +5 45 665 8415 102701 +5 50 790 10760 141826 +5 55 925 13495 191101 +5 60 1070 16650 252146 +5 65 1225 20255 326701 +-3976210973719 5964591245895 33802508475500 161110322828670 +745886931169976 +end diff --git a/demos/ppl_lcdd/examples/kkd27_5.ine b/demos/ppl_lcdd/examples/kkd27_5.ine new file mode 100644 index 000000000..7a8954c6f --- /dev/null +++ b/demos/ppl_lcdd/examples/kkd27_5.ine @@ -0,0 +1,34 @@ +* This must be computed with rational arithmetic. +H-representation +begin +27 6 integer +1172039901841798080 -1758060515119739835 -12306436783413558955 +-72080893223436992535 -406122552605284841587 -2275777153240670950215 +6 -15 -85 -435 -2269 -12195 +6 -9 -67 -393 -2179 -12009 +6 -3 -37 -279 -1789 -10743 +6 3 5 -57 -739 -6057 +6 9 59 309 1475 6549 +6 15 125 855 5501 34455 +6 21 203 1617 12131 88641 +6 27 293 2631 22301 184407 +6 33 395 3933 37091 342093 +6 39 509 5559 57725 587799 +6 45 635 7545 85571 954105 +6 51 773 9927 122141 1480791 +6 57 923 12741 169091 2215557 +6 63 1085 16023 228221 3214743 +6 69 1259 19809 301475 4544049 +6 75 1445 24135 390941 6279255 +6 81 1643 29037 498851 8506941 +6 87 1853 34551 627581 11325207 +6 93 2075 40713 779651 14844393 +6 99 2309 47559 957725 19187799 +6 105 2555 55125 1164611 24492405 +6 111 2813 63447 1403261 30909591 +6 117 3083 72561 1676771 38605857 +6 123 3365 82503 1988381 47763543 +6 129 3659 93309 2341475 58581549 +-1172039901841798079 1758060515119739835 12306436783413558955 +72080893223436992535 406122552605284841587 2275777153240670950215 +end diff --git a/demos/ppl_lcdd/examples/kkd38_6.ine b/demos/ppl_lcdd/examples/kkd38_6.ine new file mode 100644 index 000000000..4ea9b0b88 --- /dev/null +++ b/demos/ppl_lcdd/examples/kkd38_6.ine @@ -0,0 +1,49 @@ +* This must be computed with rational arithmetic. +H-representation +begin +38 7 integer +2919394390774395218459334 -4379091595292464054287507 +-36492430237104184038520181 -253987324572060483286422939 +-1691789494531258045567157717 -11149182918946980113429731347 +-73511950112254277868261780941 +7 -21 -133 -777 -4669 -29001 -184813 +7 -14 -112 -728 -4564 -28784 -184372 +7 -7 -77 -595 -4109 -27307 -179717 +7 0 -28 -336 -2884 -21840 -156148 +7 7 35 91 -301 -7133 -75445 +7 14 112 728 4396 25424 141772 +7 21 203 1617 12131 88641 638723 +7 28 308 2800 23996 200368 1650188 +7 35 427 4319 41251 384335 3535267 +7 42 560 6216 65324 670992 6815180 +7 49 707 8533 97811 1098349 12216107 +7 56 868 11312 140476 1712816 20717068 +7 63 1043 14595 195251 2570043 33602843 +7 70 1232 18424 264236 3735760 52521932 +7 77 1435 22841 349699 5286617 79549555 +7 84 1652 27888 454076 7311024 117255692 +7 91 1883 33607 579971 9909991 168778163 +7 98 2128 40040 730156 13197968 237900748 +7 105 2387 47229 907571 17303685 329136347 +7 112 2660 55216 1115324 22370992 447815180 +7 119 2947 64043 1356691 28559699 600178027 +7 126 3248 73752 1635116 36046416 793474508 +7 133 3563 84385 1954211 45025393 1036066403 +7 140 3892 95984 2317756 55709360 1337536012 +7 147 4235 108591 2729699 68330367 1708799555 +7 154 4592 122248 3194156 83140624 2162225612 +7 161 4963 136997 3715411 100413341 2711758603 +7 168 5348 152880 4297916 120443568 3373047308 +7 175 5747 169939 4946291 143549035 4163578427 +7 182 6160 188216 5665324 170070992 5102815180 +7 189 6587 207753 6459971 200375049 6212340947 +7 196 7028 228592 7335356 234852016 7516007948 +7 203 7483 250775 8296771 273918743 9040090963 +7 210 7952 274344 9349676 318018960 10813446092 +7 217 8435 299341 10499699 367624117 12867674555 +7 224 8932 325808 11752636 423234224 15237291532 +-2919394390774395218459333 4379091595292464054287507 +36492430237104184038520181 253987324572060483286422939 +1691789494531258045567157717 11149182918946980113429731347 +73511950112254277868261780941 +end diff --git a/demos/ppl_lcdd/examples/kq20_11_m.ine b/demos/ppl_lcdd/examples/kq20_11_m.ine new file mode 100644 index 000000000..19a589d05 --- /dev/null +++ b/demos/ppl_lcdd/examples/kq20_11_m.ine @@ -0,0 +1,24 @@ +H-representation +begin +20 11 integer +10000 -915 -828 -303 -632 -786 -231 -12 -568 -351 -308 +10000 -930 -217 -480 -704 -700 -91 -441 -927 -33 -330 +10000 -765 -616 -962 -274 -276 -39 -924 -541 -444 -838 +10000 -747 -470 -506 -329 -481 -425 -679 -140 -764 -960 +10000 -243 -664 -760 -333 -456 -686 -717 -137 -721 -833 +10000 -682 -107 -380 -720 -382 -920 -164 -220 -640 -262 +10000 -145 -942 -873 -570 -973 -365 -685 -932 -424 -928 +10000 -183 -612 -402 -869 -681 -539 -941 -513 -290 -622 +10000 -669 -694 -353 -941 -209 -572 -580 -822 -964 -725 +10000 -188 -646 -87 -552 -330 -19 -976 -609 -965 -158 +0 1 0 0 0 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 0 0 0 +0 0 0 1 0 0 0 0 0 0 0 +0 0 0 0 1 0 0 0 0 0 0 +0 0 0 0 0 1 0 0 0 0 0 +0 0 0 0 0 0 1 0 0 0 0 +0 0 0 0 0 0 0 1 0 0 0 +0 0 0 0 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 0 0 1 +end diff --git a/demos/ppl_lcdd/examples/metric40_11.ine b/demos/ppl_lcdd/examples/metric40_11.ine new file mode 100644 index 000000000..2fec9a5ee --- /dev/null +++ b/demos/ppl_lcdd/examples/metric40_11.ine @@ -0,0 +1,45 @@ +* metric polytope on 5 points +H-representation +begin +40 11 integer +0 0 0 1 1 0 0 0 0 0 -1 +0 0 1 0 1 0 0 0 0 -1 0 +0 0 1 1 0 0 0 0 -1 0 0 +0 1 0 0 1 0 0 -1 0 0 0 +0 1 0 1 0 0 -1 0 0 0 0 +0 1 1 0 0 -1 0 0 0 0 0 +0 -1 0 0 1 0 0 1 0 0 0 +0 0 0 -1 1 0 0 0 0 0 1 +0 0 0 0 0 0 -1 1 0 0 1 +0 0 -1 0 1 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 -1 1 1 +0 0 0 0 0 -1 0 1 0 1 0 +2 0 0 0 0 -1 -1 0 -1 0 0 +0 -1 0 1 0 0 1 0 0 0 0 +0 0 0 0 0 0 1 -1 0 0 1 +0 0 0 1 -1 0 0 0 0 0 1 +0 0 -1 1 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 1 -1 1 +0 0 0 0 0 -1 1 0 1 0 0 +2 -1 -1 0 0 -1 0 0 0 0 0 +2 0 0 0 0 -1 0 -1 0 -1 0 +0 -1 1 0 0 1 0 0 0 0 0 +0 0 0 0 0 1 0 -1 0 1 0 +0 0 1 0 -1 0 0 0 0 1 0 +2 -1 0 0 -1 0 0 -1 0 0 0 +0 0 0 0 0 1 -1 0 1 0 0 +0 0 0 0 0 0 0 0 1 1 -1 +0 0 1 -1 0 0 0 0 1 0 0 +2 -1 0 -1 0 0 -1 0 0 0 0 +2 0 0 0 0 0 -1 -1 0 0 -1 +0 0 0 0 0 1 1 0 -1 0 0 +0 0 0 0 0 1 0 1 0 -1 0 +0 1 -1 0 0 1 0 0 0 0 0 +0 1 0 0 -1 0 0 1 0 0 0 +2 0 -1 0 -1 0 0 0 0 -1 0 +0 0 0 0 0 0 1 1 0 0 -1 +0 1 0 -1 0 0 1 0 0 0 0 +2 0 0 -1 -1 0 0 0 0 0 -1 +2 0 -1 -1 0 0 0 0 -1 0 0 +2 0 0 0 0 0 0 0 -1 -1 -1 +end diff --git a/demos/ppl_lcdd/examples/metric80_16.ine b/demos/ppl_lcdd/examples/metric80_16.ine new file mode 100644 index 000000000..065eae38d --- /dev/null +++ b/demos/ppl_lcdd/examples/metric80_16.ine @@ -0,0 +1,86 @@ +* metric polytope on 6 points +H-representation +linearity 3 1 2 3 +begin +80 16 integer +0 1 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 +0 -1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 +0 1 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 +0 -1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 +0 1 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 +0 -1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 +0 1 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 +0 0 -1 1 0 0 0 0 0 0 1 0 0 0 0 0 +0 0 1 -1 0 0 0 0 0 0 1 0 0 0 0 0 +0 0 1 1 0 0 0 0 0 0 -1 0 0 0 0 0 +0 0 -1 0 1 0 0 0 0 0 0 1 0 0 0 0 +0 0 1 0 -1 0 0 0 0 0 0 1 0 0 0 0 +0 0 1 0 1 0 0 0 0 0 0 -1 0 0 0 0 +0 0 -1 0 0 1 0 0 0 0 0 0 1 0 0 0 +0 0 1 0 0 -1 0 0 0 0 0 0 1 0 0 0 +0 0 1 0 0 1 0 0 0 0 0 0 -1 0 0 0 +0 0 0 1 1 0 0 0 0 0 0 0 0 -1 0 0 +0 0 0 1 -1 0 0 0 0 0 0 0 0 1 0 0 +0 0 0 -1 1 0 0 0 0 0 0 0 0 1 0 0 +0 0 0 1 0 1 0 0 0 0 0 0 0 0 -1 0 +0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 +0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 +0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 -1 +0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 +0 0 0 0 1 -1 0 0 0 0 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1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 + 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 + 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 + 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 + 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +end diff --git a/demos/ppl_lcdd/examples/project1_m.ine b/demos/ppl_lcdd/examples/project1_m.ine new file mode 100644 index 000000000..af7e01459 --- /dev/null +++ b/demos/ppl_lcdd/examples/project1_m.ine @@ -0,0 +1,24 @@ +H-representation +begin +20 7 integer + 1 0 0 0 1 0 0 + 1 0 0 0 0 1 0 + 1 0 0 0 0 0 1 + 1 0 0 0 -1 0 0 + 1 0 0 0 0 -1 0 + 1 0 0 0 0 0 -1 + 1 1 0 0 -1 0 0 + 1 0 1 0 0 -1 0 + 1 0 0 1 0 0 -1 + 1 -1 0 0 1 0 0 + 1 0 -1 0 0 1 0 + 1 0 0 -1 0 0 1 + 2 1 1 1 -1 -1 -1 + 2 -1 1 1 1 -1 -1 + 2 1 -1 1 -1 1 -1 + 2 1 1 -1 -1 -1 1 + 2 -1 -1 1 1 1 -1 + 2 1 -1 -1 -1 1 1 + 2 -1 1 -1 1 -1 1 + 2 -1 -1 -1 1 1 1 +end diff --git a/demos/ppl_lcdd/examples/project1res.ine b/demos/ppl_lcdd/examples/project1res.ine new file mode 100644 index 000000000..d89603ee8 --- /dev/null +++ b/demos/ppl_lcdd/examples/project1res.ine @@ -0,0 +1,18 @@ +H-representation +begin +14 4 integer + 5 -1 -1 1 + 2 0 0 1 + 5 -1 1 1 + 5 1 -1 1 + 2 1 0 0 + 5 1 1 1 + 5 1 1 -1 + 5 1 -1 -1 + 2 0 1 0 + 5 -1 1 -1 + 2 0 0 -1 + 5 -1 -1 -1 + 2 0 -1 0 + 2 -1 0 0 +end diff --git a/demos/ppl_lcdd/examples/project2_m.ine b/demos/ppl_lcdd/examples/project2_m.ine new file mode 100644 index 000000000..a71cbff55 --- /dev/null +++ b/demos/ppl_lcdd/examples/project2_m.ine @@ -0,0 +1,66 @@ +H-representation +begin +62 7 integer + 7 0 0 0 -3 1 -2 + 9 0 0 0 -2 -1 -3 + 7 0 0 0 -2 1 -3 + 9 0 0 0 -3 -1 -2 + 3 0 0 0 -2 3 -1 + 1 0 0 0 -2 3 1 + 5 0 0 0 -3 2 -1 + 3 0 0 0 -3 2 1 + 3 0 0 0 1 -3 2 + 1 0 0 0 1 -2 3 + 5 0 0 0 -1 -3 2 + 3 0 0 0 -1 -2 3 + -3 0 0 0 1 2 3 + -3 0 0 0 1 3 2 + -1 0 0 0 -1 2 3 + -1 0 0 0 -1 3 2 + 1 0 0 0 3 1 -2 + 5 0 0 0 2 -1 -3 + 3 0 0 0 3 -1 -2 + 3 0 0 0 2 1 -3 + -1 0 0 0 2 3 -1 + -1 0 0 0 3 2 -1 + -3 0 0 0 2 3 1 + -3 0 0 0 3 2 1 + -3 0 0 0 2 1 3 + -1 0 0 0 3 -1 2 + -1 0 0 0 2 -1 3 + -3 0 0 0 3 1 2 + 3 0 0 0 2 -3 1 + 5 0 0 0 2 -3 -1 + 1 0 0 0 3 -2 1 + 3 0 0 0 3 -2 -1 + 3 0 0 0 -1 3 -2 + 5 0 0 0 -1 2 -3 + 1 0 0 0 1 3 -2 + 3 0 0 0 1 2 -3 + 9 0 0 0 -1 -2 -3 + 9 0 0 0 -1 -3 -2 + 7 0 0 0 1 -2 -3 + 7 0 0 0 1 -3 -2 + 5 0 0 0 -3 -1 2 + 1 0 0 0 -2 1 3 + 3 0 0 0 -2 -1 3 + 3 0 0 0 -3 1 2 + 7 0 0 0 -2 -3 1 + 9 0 0 0 -2 -3 -1 + 7 0 0 0 -3 -2 1 + 9 0 0 0 -3 -2 -1 + 0 1 0 0 -1 0 0 + 0 0 1 0 0 -1 0 + 0 0 0 1 0 0 -1 + 2 -1 0 0 1 0 0 + 2 0 -1 0 0 1 0 + 2 0 0 -1 0 0 1 + -1 1 1 1 -1 -1 -1 + 1 -1 1 1 1 -1 -1 + 1 1 -1 1 -1 1 -1 + 1 1 1 -1 -1 -1 1 + 3 -1 -1 1 1 1 -1 + 3 1 -1 -1 -1 1 1 + 3 -1 1 -1 1 -1 1 + 5 -1 -1 -1 1 1 1 +end diff --git a/demos/ppl_lcdd/examples/project2res.ine b/demos/ppl_lcdd/examples/project2res.ine new file mode 100644 index 000000000..740f2aae2 --- /dev/null +++ b/demos/ppl_lcdd/examples/project2res.ine @@ -0,0 +1,90 @@ +H-representation +begin +86 4 integer + 9 -2 1 -1 + 16 -3 1 -2 + 20 -3 -1 -2 + 12 -3 2 -1 + 8 -3 2 1 + 8 -2 -1 3 + 4 -2 1 3 + 8 -2 3 -1 + 4 -2 3 1 + 9 -1 -2 1 + 11 -2 -2 2 + 5 -1 -1 2 + 1 -1 1 2 + 3 -2 2 2 + 1 -1 2 1 + 4 0 0 -1 + 0 0 1 0 + 8 -1 -2 3 + 12 -1 -3 2 + 0 -1 2 3 + 0 -1 3 2 + 5 1 -2 1 + 8 1 -3 2 + 4 1 -2 3 + 1 1 -1 2 + -3 1 1 2 + -4 1 2 3 + -4 1 3 2 + -3 1 2 1 + 3 2 -2 2 + -5 2 2 2 + 8 2 1 -3 + 12 2 -1 -3 + 0 2 3 -1 + -4 2 3 1 + 1 2 -1 1 + 4 3 -2 1 + 0 3 -1 2 + -3 2 1 1 + -4 3 1 2 + -4 3 2 1 + 0 1 0 0 + 0 3 2 -1 + 4 3 1 -2 + 1 2 1 -1 + 8 3 -1 -2 + 8 3 -2 -1 + 5 2 -1 -1 + 0 2 -1 3 + -4 2 1 3 + 8 2 -3 1 + 12 2 -3 -1 + 3 2 2 -2 + 11 2 -2 -2 + 1 1 2 -1 + 4 1 3 -2 + 8 1 2 -3 + 5 1 1 -2 + 9 1 -1 -2 + 16 1 -2 -3 + 16 1 -3 -2 + 9 1 -2 -1 + 12 -1 2 -3 + 8 -1 3 -2 + 20 -1 -2 -3 + 20 -1 -3 -2 + 0 0 0 1 + 4 0 -1 0 + 5 -1 2 -1 + 11 -2 2 -2 + 9 -1 1 -2 + 13 -1 -1 -2 + 19 -2 -2 -2 + 13 -1 -2 -1 + 16 -2 1 -3 + 20 -2 -1 -3 + 16 -2 -3 1 + 20 -2 -3 -1 + 12 -3 -1 2 + 8 -3 1 2 + 5 -2 1 1 + 16 -3 -2 1 + 20 -3 -2 -1 + 9 -2 -1 1 + 13 -2 -1 -1 + 4 -1 0 0 +end diff --git a/demos/ppl_lcdd/examples/rcubocta.ine b/demos/ppl_lcdd/examples/rcubocta.ine new file mode 100644 index 000000000..909db7245 --- /dev/null +++ b/demos/ppl_lcdd/examples/rcubocta.ine @@ -0,0 +1,31 @@ +* Rhombicuboctahedron +H-representation +begin + 26 4 integer + 1 1 0 0 + 1 0 1 0 + 1 0 0 1 + 1 -1 0 0 + 1 0 -1 0 + 1 0 0 -1 + 2 1 1 1 + 2 -1 1 1 + 2 1 -1 1 + 2 1 1 -1 + 2 -1 -1 1 + 2 1 -1 -1 + 2 -1 1 -1 + 2 -1 -1 -1 + 3 2 2 0 + 3 0 2 2 + 3 2 0 2 + 3 -2 2 0 + 3 0 -2 2 + 3 2 0 -2 + 3 2 -2 0 + 3 0 2 -2 + 3 -2 0 2 + 3 -2 -2 0 + 3 0 -2 -2 + 3 -2 0 -2 +end diff --git a/demos/ppl_lcdd/examples/redcheck.ext b/demos/ppl_lcdd/examples/redcheck.ext new file mode 100644 index 000000000..e970c4298 --- /dev/null +++ b/demos/ppl_lcdd/examples/redcheck.ext @@ -0,0 +1,11 @@ +V-representation +begin + 7 3 integer + 1 0 0 + 1 2 0 + 1 0 2 + 1 1 1 + 1 2 1 + 1 1 2 + 1 2 2 +end diff --git a/demos/ppl_lcdd/examples/reg24-5.ext b/demos/ppl_lcdd/examples/reg24-5.ext new file mode 100644 index 000000000..b755b677e --- /dev/null +++ b/demos/ppl_lcdd/examples/reg24-5.ext @@ -0,0 +1,31 @@ +* The vertices of a self-dual 4-dim regular polytope +* with 24 octahedron facets. +* We use hull option to compute all (24) facet inequalities. +V-representation +begin + 24 5 integer + 1 1 1 1 1 + 1 1 1 1 -1 + 1 1 1 -1 1 + 1 1 1 -1 -1 + 1 1 -1 1 1 + 1 1 -1 1 -1 + 1 1 -1 -1 1 + 1 1 -1 -1 -1 + 1 -1 1 1 1 + 1 -1 1 1 -1 + 1 -1 1 -1 1 + 1 -1 1 -1 -1 + 1 -1 -1 1 1 + 1 -1 -1 1 -1 + 1 -1 -1 -1 1 + 1 -1 -1 -1 -1 + 1 2 0 0 0 + 1 0 2 0 0 + 1 0 0 2 0 + 1 0 0 0 2 + 1 -2 0 0 0 + 1 0 -2 0 0 + 1 0 0 -2 0 + 1 0 0 0 -2 +end diff --git a/demos/ppl_lcdd/examples/reg24-5.ine b/demos/ppl_lcdd/examples/reg24-5.ine new file mode 100644 index 000000000..d984817de --- /dev/null +++ b/demos/ppl_lcdd/examples/reg24-5.ine @@ -0,0 +1,30 @@ +* The facets of a self-dual 4-dim regular polytope +* with 24 octahedron facets. +H-representation +begin + 24 5 integer + 1 1 1 1 1 + 1 1 1 1 -1 + 1 1 1 -1 1 + 1 1 1 -1 -1 + 1 1 -1 1 1 + 1 1 -1 1 -1 + 1 1 -1 -1 1 + 1 1 -1 -1 -1 + 1 -1 1 1 1 + 1 -1 1 1 -1 + 1 -1 1 -1 1 + 1 -1 1 -1 -1 + 1 -1 -1 1 1 + 1 -1 -1 1 -1 + 1 -1 -1 -1 1 + 1 -1 -1 -1 -1 + 1 2 0 0 0 + 1 0 2 0 0 + 1 0 0 2 0 + 1 0 0 0 2 + 1 -2 0 0 0 + 1 0 -2 0 0 + 1 0 0 -2 0 + 1 0 0 0 -2 +end diff --git a/demos/ppl_lcdd/examples/reg600-5_m.ext b/demos/ppl_lcdd/examples/reg600-5_m.ext new file mode 100644 index 000000000..4147d7fd0 --- /dev/null +++ b/demos/ppl_lcdd/examples/reg600-5_m.ext @@ -0,0 +1,606 @@ +* The vertices of a 4-dim regular polytope with 600 vertices. +* Hull computation for finding all 120 facets. +V-representation +begin +600 5 rational +1 -47162307589214776/18014398509481984 -18014398509481984/18014398509481984 0 -6880887944635499/18014398509481984 +1 -47162307589214776/18014398509481984 -18014398509481984/18014398509481984 0 6880887944635499/18014398509481984 +1 -47162307589214776/18014398509481984 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47162307589214776/18014398509481984 0 -6880887944635499/18014398509481984 18014398509481984/18014398509481984 +1 47162307589214776/18014398509481984 0 6880887944635499/18014398509481984 -18014398509481984/18014398509481984 +1 47162307589214776/18014398509481984 0 6880887944635499/18014398509481984 18014398509481984/18014398509481984 +1 47162307589214776/18014398509481984 6880887944635499/18014398509481984 -18014398509481984/18014398509481984 0 +1 47162307589214776/18014398509481984 6880887944635499/18014398509481984 18014398509481984/18014398509481984 0 +1 47162307589214776/18014398509481984 18014398509481984/18014398509481984 0 -6880887944635499/18014398509481984 +1 47162307589214776/18014398509481984 18014398509481984/18014398509481984 0 6880887944635499/18014398509481984 +end diff --git a/demos/ppl_lcdd/examples/rhomtria_m.ine b/demos/ppl_lcdd/examples/rhomtria_m.ine new file mode 100644 index 000000000..26757d4f5 --- /dev/null +++ b/demos/ppl_lcdd/examples/rhomtria_m.ine @@ -0,0 +1,35 @@ +* Rhombic Triacontahedron +H-representation +begin +30 4 integer +14411518807585588 -22267021104472812 -8505245247627733 -13761775885668118 +14411518807585588 -22267021104472812 -8505245247627733 13761775885668118 +14411518807585588 -22267021104472812 8505245247627733 -13761775885668118 +14411518807585588 -22267021104472812 8505245247627733 13761775885668118 +14411518807585588 -13761775885668118 -22267021104472812 -8505245247627733 +14411518807585588 -13761775885668118 -22267021104472812 8505245247627733 +14411518807585588 -13761775885668118 22267021104472812 -8505245247627733 +14411518807585588 -13761775885668118 22267021104472812 8505245247627733 +14411518807585588 -8505245247627733 -13761775885668118 -22267021104472812 +14411518807585588 -8505245247627733 -13761775885668118 22267021104472812 +14411518807585588 -8505245247627733 13761775885668118 -22267021104472812 +14411518807585588 -8505245247627733 13761775885668118 22267021104472812 +3602879701896397 -6880887957245578 0 0 +3602879701896397 0 -6880887957245578 0 +3602879701896397 0 0 -6880887957245578 +3602879701896397 0 0 6880887957245578 +3602879701896397 0 6880887957245578 0 +3602879701896397 6880887957245578 0 0 +14411518807585588 8505245247627733 -13761775885668118 -22267021104472812 +14411518807585588 8505245247627733 -13761775885668118 22267021104472812 +14411518807585588 8505245247627733 13761775885668118 -22267021104472812 +14411518807585588 8505245247627733 13761775885668118 22267021104472812 +14411518807585588 13761775885668118 -22267021104472812 -8505245247627733 +14411518807585588 13761775885668118 -22267021104472812 8505245247627733 +14411518807585588 13761775885668118 22267021104472812 -8505245247627733 +14411518807585588 13761775885668118 22267021104472812 8505245247627733 +14411518807585588 22267021104472812 -8505245247627733 -13761775885668118 +14411518807585588 22267021104472812 -8505245247627733 13761775885668118 +14411518807585588 22267021104472812 8505245247627733 -13761775885668118 +14411518807585588 22267021104472812 8505245247627733 13761775885668118 +end diff --git a/demos/ppl_lcdd/examples/sample.ine b/demos/ppl_lcdd/examples/sample.ine new file mode 100644 index 000000000..452e1bf85 --- /dev/null +++ b/demos/ppl_lcdd/examples/sample.ine @@ -0,0 +1,11 @@ +* 3-cube +H-representation +begin + 6 4 rational + 10/3 1 0 0 + 10/3 0 1 0 + 10/3 0 0 1 + 10/3 -1 0 0 + 10/3 0 -1 0 + 10/3 0 0 -1 +end diff --git a/demos/ppl_lcdd/examples/sampleh1.ine b/demos/ppl_lcdd/examples/sampleh1.ine new file mode 100644 index 000000000..93f3df3c3 --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh1.ine @@ -0,0 +1,9 @@ +* a 3-D cone containing no vertices and a line +H-representation +begin + 3 4 integer + 2 -1 -1 0 + 0 1 0 0 + 0 0 1 0 +end + diff --git a/demos/ppl_lcdd/examples/sampleh2.ine b/demos/ppl_lcdd/examples/sampleh2.ine new file mode 100644 index 000000000..082026d99 --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh2.ine @@ -0,0 +1,7 @@ +* a hyperplane with no vertices and rays +H-representation +begin + 1 4 integer +-1 0 0 1 +end + diff --git a/demos/ppl_lcdd/examples/sampleh3.ine b/demos/ppl_lcdd/examples/sampleh3.ine new file mode 100644 index 000000000..b2ace9b81 --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh3.ine @@ -0,0 +1,7 @@ +* a 3-D homogeneous cone with no vertices +H-representation +begin + 2 4 integer + 0 1 1 0 + 0 0 1 0 +end diff --git a/demos/ppl_lcdd/examples/sampleh4.ine b/demos/ppl_lcdd/examples/sampleh4.ine new file mode 100644 index 000000000..f929e10fe --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh4.ine @@ -0,0 +1,12 @@ +* trivial inequalities: the polyhedron is the whole space. +H-representation +begin + 6 4 integer + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 + 0 0 0 0 +end + diff --git a/demos/ppl_lcdd/examples/sampleh5.ine b/demos/ppl_lcdd/examples/sampleh5.ine new file mode 100644 index 000000000..ec122d5aa --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh5.ine @@ -0,0 +1,15 @@ +* test file for redundancy removal +H-representation +linearity 1 3 +begin + 8 4 integer + 0 1 0 0 + 0 0 1 0 + 0 0 0 1 + 1 -1 -1 -1 + 1 -1 -1 0 + 1 0 -1 -1 + 1 -1 0 -1 + 2 -1 -1 -1 +end + diff --git a/demos/ppl_lcdd/examples/sampleh6.ine b/demos/ppl_lcdd/examples/sampleh6.ine new file mode 100644 index 000000000..b9c93a765 --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh6.ine @@ -0,0 +1,11 @@ +* test file for forced-equality checking +H-representation +begin + 5 4 integer + 0 1 0 0 + 0 0 1 0 + 0 0 0 1 + 1 -1 -1 -1 +-1 1 1 0 +end + diff --git a/demos/ppl_lcdd/examples/sampleh7.ine b/demos/ppl_lcdd/examples/sampleh7.ine new file mode 100644 index 000000000..c4c09d202 --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh7.ine @@ -0,0 +1,19 @@ +* test file for redundancy removal +* the redundant rows are +* 3 4 5 9 10 +* LP type = 1 Seed = 123 +H-representation +begin + 10 3 integer + 0 1 0 + 0 0 1 + -10000 651 693 + -10000 697 637 + -10000 368 824 + -10000 87 725 + -10000 387 219 + -10000 430 202 + -10000 356 988 + -10000 674 979 +end + diff --git a/demos/ppl_lcdd/examples/sampleh8.ine b/demos/ppl_lcdd/examples/sampleh8.ine new file mode 100644 index 000000000..cf5f54cb9 --- /dev/null +++ b/demos/ppl_lcdd/examples/sampleh8.ine @@ -0,0 +1,110 @@ +* test file for redundancy removal +* the redundant rows are +* 10 11 12 14 21 23 26 32 39 40 41 44 46 +* 50 51 54 56 57 59 62 63 64 69 76 77 78 +* 79 83 84 85 87 88 91 94 97 +* LP type = 1 Seed = 123 +H-representation +begin + 100 10 integer + 0 1 0 0 0 0 0 0 0 0 + 0 0 1 0 0 0 0 0 0 0 + 0 0 0 1 0 0 0 0 0 0 + 0 0 0 0 1 0 0 0 0 0 + 0 0 0 0 0 1 0 0 0 0 + 0 0 0 0 0 0 1 0 0 0 + 0 0 0 0 0 0 0 1 0 0 + 0 0 0 0 0 0 0 0 1 0 + 0 0 0 0 0 0 0 0 0 1 + -10000 651 693 84 697 637 340 368 824 663 + -10000 725 742 387 219 751 430 202 745 356 + -10000 377 674 979 167 815 988 412 676 475 + -10000 710 275 949 284 629 1 422 974 510 + -10000 692 945 725 488 271 430 724 225 726 + -10000 465 258 450 343 87 168 161 103 919 + -10000 86 79 656 493 832 514 791 506 29 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0 1 0 +end + diff --git a/demos/ppl_lcdd/examples/samplev2.ext b/demos/ppl_lcdd/examples/samplev2.ext new file mode 100644 index 000000000..99ab9f6b3 --- /dev/null +++ b/demos/ppl_lcdd/examples/samplev2.ext @@ -0,0 +1,11 @@ +* a 1-D cone in 3D space without any vertices +V-representation +linearity 1 3 +begin + 3 4 integer + 0 0 0 1 + 1 1 0 0 + 0 1 -1 0 +end + + diff --git a/demos/ppl_lcdd/examples/samplev3.ext b/demos/ppl_lcdd/examples/samplev3.ext new file mode 100644 index 000000000..bc92ef47b --- /dev/null +++ b/demos/ppl_lcdd/examples/samplev3.ext @@ -0,0 +1,16 @@ +* test file for redundancy removal +* the redundant rows: 2 4 5 6 7 +* the implicit linearities : 8 9 +V-representation +begin + 9 3 integer + 1 0 0 + 1 2 0 + 1 0 2 + 1 1 1 + 1 2 1 + 1 1 2 + 1 2 2 + 0 1 0 + 0 -1 0 +end diff --git a/demos/ppl_lcdd/examples/trunc10.ine b/demos/ppl_lcdd/examples/trunc10.ine new file mode 100644 index 000000000..3f5bd91c9 --- /dev/null +++ b/demos/ppl_lcdd/examples/trunc10.ine @@ -0,0 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+.\" DO NOT MODIFY THIS FILE! It was generated by help2man 1.37.1. +.TH PPL_LCDD "1" "February 2011" "ppl_lcdd 0.11.2" "User Commands" +.SH NAME +ppl_lcdd \- a PPL-based program for vertex/facet enumeration of convex polyhedra +.SH SYNOPSIS +.B ppl_lcdd +[\fIOPTION\fR]... [\fIFILE\fR] +.SH DESCRIPTION +Reads an H\-representation (resp., a V\-representation) of a polyhedron +and generates a V\-representation (resp., an H\-representation) of +the same polyhedron. +.PP +See the +.IR "cddlib Reference Manual" +for information on the file formats. +.SH OPTIONS +.TP +\fB\-CSECS\fR, \fB\-\-max\-cpu\fR=\fISECS\fR +limits CPU usage to SECS seconds +.TP +\fB\-RMB\fR, \fB\-\-max\-memory\fR=\fIMB\fR +limits memory usage to MB megabytes +.TP +\fB\-h\fR, \fB\-\-help\fR +prints this help text to stdout +.TP +\fB\-oPATH\fR, \fB\-\-output\fR=\fIPATH\fR +appends output to PATH +.TP +\fB\-t\fR, \fB\-\-timings\fR +prints timings to stderr +.TP +\fB\-v\fR, \fB\-\-verbose\fR +produces lots of output +.TP +\fB\-V\fR, \fB\-\-version\fR +prints version information to stdout +.TP +\fB\-cPATH\fR, \fB\-\-check\fR=\fIPATH\fR +checks if the result is equal to what is in PATH +.SH AVAILABILITY +The latest version of the Parma Polyhedra Library and all the documentation +is available at \fBhttp://www.cs.unipr.it/ppl/\fR . +.SH NOTES +The option \fB\-CSECS\fR (\fB\-\-max\-cpu\fR=\fISECS\fR) is not available +on some platforms. +.SH AUTHOR +See the file \fBCREDITS\fR in the source distribution or use the command +\fBppl\-config \-\-credits\fR for a list of contributors. +.SH "REPORTING BUGS" +Report bugs to <ppl\-devel@cs.unipr.it>. +.SH COPYRIGHT +Copyright (C) 2001\-2010 Roberto Bagnara <bagnara@cs.unipr.it> +Copyright (C) 2010\-2011 BUGSENG srl (http://bugseng.com) +.br +This is free software; see the file \fBCOPYING\fR in the source +distribution or use the command \fBppl\-config \-\-copying\fR to +obtain the copying conditions. There is NO warranty; not even for +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +.SH "SEE ALSO" +.BR ppl-config(1) +.sp +Komei Fukuda. +.IR "cddlib Reference Manual", +available (in several formats) at +\fBhttp://www.ifor.math.ethz.ch/~fukuda/cdd_home/index.html\fR . diff --git a/demos/ppl_lcdd/ppl_lcdd.cc b/demos/ppl_lcdd/ppl_lcdd.cc new file mode 100644 index 000000000..e62e30086 --- /dev/null +++ b/demos/ppl_lcdd/ppl_lcdd.cc @@ -0,0 +1,1348 @@ +/* A sort of clone of the cddlib test program `lcdd'. + Copyright (C) 2001-2010 Roberto Bagnara <bagnara@cs.unipr.it> + Copyright (C) 2010-2011 BUGSENG srl (http://bugseng.com) + +This file is part of the Parma Polyhedra Library (PPL). + +The PPL is free software; you can redistribute it and/or modify it +under the terms of the GNU General Public License as published by the +Free Software Foundation; either version 3 of the License, or (at your +option) any later version. + +The PPL is distributed in the hope that it will be useful, but WITHOUT +ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +You should have received a copy of the GNU General Public License +along with this program; if not, write to the Free Software Foundation, +Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1307, USA. + +For the most up-to-date information see the Parma Polyhedra Library +site: http://www.cs.unipr.it/ppl/ . */ + +//#define USE_POLKA 1 +//#define USE_POLYLIB 1 + +#if (!defined(USE_PPL) && !defined(USE_POLKA) && !defined(USE_POLYLIB)) +#define USE_PPL 1 +#elif \ + (defined(USE_PPL) && defined(USE_POLKA)) \ +|| (defined(USE_PPL) && defined(USE_POLYLIB)) \ +|| (defined(USE_POLKA) && defined(USE_POLYLIB)) +#error "Exactly one among USE_PPL, USE_POLKA and USE_POLYLIB must be defined." +#endif + +#if defined(USE_PPL) + +#include "ppl.hh" + +namespace PPL = Parma_Polyhedra_Library; + +#if PPL_VERSION_MAJOR == 0 && PPL_VERSION_MINOR < 6 +#error "PPL version 0.6 or following is required" +#endif + +typedef PPL::C_Polyhedron POLYHEDRON_TYPE; + +#if !PPL_CXX_SUPPORTS_ATTRIBUTE_WEAK +extern "C" void +ppl_set_GMP_memory_allocation_functions(void) { +} +#endif + +#elif defined(USE_POLKA) + +#include <ppl-config.h> +#include <gmp.h> + +extern "C" { +#define bool polka_bool +#define true polka_true +#define false polka_false +#define POLKA_NUM 3 +#include <polka/poly.h> +#undef POLKA_NUM +#undef false +#undef true +#undef bool +#undef pkint_set +#define pkint_set(a,b) mpz_set((a).rep, (b)) +} + +typedef poly_t* POLYHEDRON_TYPE; + +#elif defined(USE_POLYLIB) + +#include <ppl-config.h> +#include <gmp.h> + +extern "C" { +#include "polylib/polylibgmp.h" +} + +// This is required (and, yes, 20000 is a magic number ;-) +const unsigned max_constraints_or_generators = 20000; + +typedef Polyhedron* POLYHEDRON_TYPE; + +#endif + +#include "timings.hh" +#include <gmpxx.h> +#include <vector> +#include <set> +#include <limits> +#include <climits> +#include <cassert> +#include <cstdarg> +#include <csignal> +#include <cerrno> +#include <cstring> +#include <cstdio> +#include <cstdlib> +#include <iostream> +#include <fstream> +#include <sstream> +#include <stdexcept> + +#ifdef PPL_HAVE_GETOPT_H +#include <getopt.h> + +// Try to accommodate non-GNU implementations of `getopt()'. +#if !defined(no_argument) && defined(NO_ARG) +#define no_argument NO_ARG +#endif + +#if !defined(required_argument) && defined(REQUIRED_ARG) +#define required_argument REQUIRED_ARG +#endif + +#if !defined(optional_argument) && defined(OPTIONAL_ARG) +#define optional_argument OPTIONAL_ARG +#endif + +#endif // defined(PPL_HAVE_GETOPT_H) + +#ifdef PPL_HAVE_UNISTD_H +// Include this for `getopt()': especially important if we do not have +// <getopt.h>. +# include <unistd.h> +#endif + +#ifdef PPL_HAVE_SYS_TIME_H +# include <sys/time.h> +#endif + +#ifdef PPL_HAVE_SYS_RESOURCE_H +// This should be included after <time.h> and <sys/time.h> so as to make +// sure we have the definitions for, e.g., `ru_utime'. +# include <sys/resource.h> +#endif + +#if defined(PPL_HAVE_SYS_RESOURCE_H) \ + && (defined(SA_ONESHOT) || defined(SA_RESETHAND)) +# define PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME +#endif + +namespace { + +#ifdef PPL_HAVE_GETOPT_H +struct option long_options[] = { + {"max-cpu", required_argument, 0, 'C'}, + {"max-memory", required_argument, 0, 'R'}, + {"help", no_argument, 0, 'h'}, + {"output", required_argument, 0, 'o'}, + {"timings", no_argument, 0, 't'}, + {"verbose", no_argument, 0, 'v'}, +#if defined(USE_PPL) + {"version", no_argument, 0, 'V'}, + {"check", required_argument, 0, 'c'}, +#endif + {0, 0, 0, 0} +}; +#endif + +static const char* usage_string += "Usage: %s [OPTION]... [FILE]\n" +"Reads an H-representation (resp., a V-representation) of a polyhedron\n" +"and generates a V-representation (resp., an H-representation) of\n" +"the same polyhedron.\n\n" +"Options:\n" +#ifdef PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME +" -CSECS, --max-cpu=SECS limits CPU usage to SECS seconds\n" +#endif // defined(PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME) +" -RMB, --max-memory=MB limits memory usage to MB megabytes\n" +" -h, --help prints this help text to stdout\n" +" -oPATH, --output=PATH appends output to PATH\n" +" -t, --timings prints timings to stderr\n" +" -v, --verbose produces lots of output\n" +#if defined(USE_PPL) +" -V, --version prints version information to stdout\n" +" -cPATH, --check=PATH checks if the result is equal to what is in PATH\n" +#endif +#ifndef PPL_HAVE_GETOPT_H +"\n" +"NOTE: this version does not support long options.\n" +#endif +"\n" +"Report bugs to <ppl-devel@cs.unipr.it>.\n"; + +#if defined(USE_PPL) +#define OPTION_LETTERS "C:R:ho:tvVc:" +#else +#define OPTION_LETTERS "C:R:ho:tv" +#endif + +const char* program_name = 0; + +#ifdef PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME +unsigned long max_seconds_of_cpu_time = 0; +#endif // defined(PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME) + +unsigned long max_bytes_of_virtual_memory = 0; +bool print_timings = false; +bool verbose = false; +const char* check_file_name = 0; + +void +fatal(const char* format, ...) { + va_list ap; + va_start(ap, format); + fprintf(stderr, "%s: ", program_name); + vfprintf(stderr, format, ap); + fprintf(stderr, "\n"); + va_end(ap); + exit(1); +} + +namespace { + +const char* input_file_name = 0; +std::istream* input_stream_p = 0; + +void +set_input(const char* file_name) { + if (input_stream_p && *input_stream_p != std::cin) + delete input_stream_p; + + if (file_name) { + input_stream_p = new std::ifstream(file_name, std::ios_base::in); + if (!*input_stream_p) + fatal("cannot open input file `%s'", file_name); + input_file_name = file_name; + } + else { + input_stream_p = &std::cin; + input_file_name = "<cin>"; + } +} + +std::istream& +input() { + assert(input_stream_p); + return *input_stream_p; +} + +const char* output_file_name = 0; +std::ostream* output_stream_p = 0; + +void +set_output(const char* file_name) { + if (output_stream_p && *output_stream_p != std::cout) + delete output_stream_p; + + if (file_name) { + output_stream_p = new std::ofstream(file_name, + std::ios_base::out + | std::ios_base::app); + if (!*output_stream_p) + fatal("cannot open output file `%s'", file_name); + output_file_name = file_name; + } + else { + output_stream_p = &std::cout; + output_file_name = "<cout>"; + } +} + +std::ostream& +output() { + assert(output_stream_p); + return *output_stream_p; +} + +} // namespace + +void +error(const char* format, ...) { + va_list ap; + va_start(ap, format); + fprintf(stderr, "%s: in `%s': ", program_name, input_file_name); + vfprintf(stderr, format, ap); + fprintf(stderr, "\n"); + va_end(ap); + exit(1); +} + +void +warning(const char* format, ...) { + va_list ap; + va_start(ap, format); + fprintf(stderr, "%s: Warning: in `%s': ", program_name, input_file_name); + vfprintf(stderr, format, ap); + fprintf(stderr, "\n"); + va_end(ap); +} + +#ifdef PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME + +extern "C" typedef void (*sig_handler_type)(int); + +void +set_alarm_on_cpu_time(const unsigned seconds, sig_handler_type handler) { + sigset_t mask; + sigemptyset(&mask); + + struct sigaction s; + s.sa_handler = handler; + s.sa_mask = mask; +#if defined(SA_ONESHOT) + s.sa_flags = SA_ONESHOT; +#elif defined(SA_RESETHAND) + s.sa_flags = SA_RESETHAND; +#else +# error "Either SA_ONESHOT or SA_RESETHAND must be defined." +#endif + + if (sigaction(SIGXCPU, &s, 0) != 0) + fatal("sigaction failed: %s", strerror(errno)); + + struct rlimit t; + if (getrlimit(RLIMIT_CPU, &t) != 0) + fatal("getrlimit failed: %s", strerror(errno)); + + if (seconds < t.rlim_cur) { + t.rlim_cur = seconds; + if (setrlimit(RLIMIT_CPU, &t) != 0) + fatal("setrlimit failed: %s", strerror(errno)); + } +} + +#endif // PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME + +#if PPL_HAVE_DECL_RLIMIT_AS + +void +limit_virtual_memory(const unsigned long bytes) { + struct rlimit t; + + if (getrlimit(RLIMIT_AS, &t) != 0) + fatal("getrlimit failed: %s", strerror(errno)); + + if (bytes < t.rlim_cur) { + t.rlim_cur = bytes; + if (setrlimit(RLIMIT_AS, &t) != 0) + fatal("setrlimit failed: %s", strerror(errno)); + } +} + +#else + +void +limit_virtual_memory(unsigned long) { +} + +#endif // !PPL_HAVE_DECL_RLIMIT_AS + +extern "C" void +timeout(int) { + try { + std::cerr << "TIMEOUT" + << std::endl; + } + catch (...) { + } + + try { + if (output_file_name) + output() << "TIMEOUT" + << std::endl; + } + catch (...) { + } + + exit(0); +} + +void +process_options(int argc, char* argv[]) { + while (true) { +#ifdef PPL_HAVE_GETOPT_H + int option_index = 0; + int c = getopt_long(argc, argv, OPTION_LETTERS, long_options, + &option_index); +#else + int c = getopt(argc, argv, OPTION_LETTERS); +#endif + + if (c == EOF) + break; + + char* endptr; + long l; + switch (c) { + case 0: + break; + + case '?': + case 'h': + fprintf(stdout, usage_string, argv[0]); + exit(0); + break; + +#ifdef PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME + + case 'C': + l = strtol(optarg, &endptr, 10); + if (*endptr || l < 0) + fatal("a non-negative integer must follow `-C'"); + else + max_seconds_of_cpu_time = l; + break; + +#endif // defined(PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME) + + case 'R': + l = strtol(optarg, &endptr, 10); + if (*endptr || l < 0) + fatal("a non-negative integer must follow `-R'"); + else if (((unsigned long) l) > ULONG_MAX/(1024*1024)) + max_bytes_of_virtual_memory = ULONG_MAX; + else + max_bytes_of_virtual_memory = l*1024*1024; + break; + + case 'o': + output_file_name = optarg; + break; + + case 't': + print_timings = true; + break; + + case 'v': + verbose = true; + break; + +#if defined(USE_PPL) + + case 'V': + fprintf(stdout, "%s\n", PPL_VERSION); + exit(0); + break; + + case 'c': + check_file_name = optarg; + break; + +#endif + + default: + abort(); + } + } + + if (argc - optind > 1) + // We have multiple input files. + fatal("at most one input file is accepted"); + + // We have one input files. + if (optind < argc) + input_file_name = argv[optind]; + else + // If no input files have been specified: we will read from standard input. + assert(input_file_name == 0); +} + +void +maybe_start_clock() { + if (print_timings) + start_clock(); +} + +void +maybe_print_clock() { + if (print_timings) { + std::cerr << input_file_name << " "; + print_clock(std::cerr); + std::cerr << std::endl; + } +} + + +void +normalize(const std::vector<mpq_class>& source, + std::vector<mpz_class>& dest, + mpz_class& denominator) { + unsigned n = source.size(); + denominator = 1; + for (unsigned i = 0; i < n; ++i) + mpz_lcm(denominator.get_mpz_t(), + denominator.get_mpz_t(), + source[i].get_den().get_mpz_t()); + for (unsigned i = 0; i < n; ++i) + dest[i] = denominator*source[i]; +} + +template <typename T> +bool +guarded_read(std::istream& in, T& x) { + try { + return in >> x; + } + catch (...) { + return false; + } +} + +template <typename T> +void +guarded_write(std::ostream& out, const T& x) { + bool succeeded = false; + try { + succeeded = out << x; + } + catch (...) { + } + if (!succeeded) + fatal("cannot write to output file `%s'", output_file_name); +} + +#if defined (USE_POLKA) +template <> +void +guarded_write(std::ostream& out, const pkint_t& x) { + bool succeeded = false; + try { + succeeded = out << x.rep; + } + catch (...) { + } + if (!succeeded) + fatal("cannot write to output file `%s'", output_file_name); +} +#endif + +enum Number_Type { INTEGER, RATIONAL, REAL }; + +void +read_coefficients(std::istream& in, + const Number_Type number_type, + std::vector<mpz_class>& coefficients, + mpz_class& denominator) { + unsigned num_coefficients = coefficients.size(); + switch (number_type) { + case INTEGER: + { + for (unsigned i = 0; i < num_coefficients; ++i) + if (!guarded_read(in, coefficients[i])) + error("missing or invalid integer coefficient"); + denominator = 1; + break; + } + case RATIONAL: + { + std::vector<mpq_class> rational_coefficients(num_coefficients); + for (unsigned i = 0; i < num_coefficients; ++i) + if (!guarded_read(in, rational_coefficients[i])) + error("missing or invalid rational coefficient"); + normalize(rational_coefficients, coefficients, denominator); + break; + } + case REAL: + { + std::vector<mpq_class> rational_coefficients(num_coefficients); + for (unsigned i = 0; i < num_coefficients; ++i) { + double d; + if (!guarded_read(in, d)) + error("missing or invalid real coefficient"); + rational_coefficients[i] = mpq_class(d); + } + normalize(rational_coefficients, coefficients, denominator); + break; + } + } +} + +void +read_indexes_set(std::istream& in, + std::set<unsigned>& dest, + const char* what) { + assert(dest.empty()); + unsigned num_elements; + if (!guarded_read(in, num_elements)) + error("missing or invalid number of set elements in `%s'", what); + while (num_elements--) { + unsigned i; + if (!guarded_read(in, i)) + error("missing or invalid set element in `%s'", what); + dest.insert(i); + } +} + +enum Representation { H, V }; + +Representation +read_polyhedron(std::istream& in, POLYHEDRON_TYPE& ph) { + // By default we have an H-representation. + Representation rep = H; + + std::string s; + std::set<unsigned> linearity; + while (true) { + if (!guarded_read(in, s)) + error("premature end of file while seeking for `begin'"); + + if (s == "V-representation") + rep = V; + else if (s == "H-representation") + rep = H; + else if (s == "linearity" || s == "equality" || s == "partial_enum") { + read_indexes_set(in, linearity, "linearity"); + if (verbose) { + std::cerr << "Linearity: "; + for (std::set<unsigned>::const_iterator j = linearity.begin(), + linearity_end = linearity.end(); j != linearity_end; ++j) + std::cerr << *j << " "; + std::cerr << std::endl; + } + } + else if (s == "begin") + break; + else + // A comment: skip to end of line. + in.ignore(std::numeric_limits<std::streamsize>::max(), '\n'); + } + + // Tools such as `lrs' produce "*****" instead of the number of + // rows. We will accept that as valid input and compute the number + // of rows ourselves. + bool has_num_rows = false; + unsigned num_rows; + if (!guarded_read(in, s)) + error("missing number of rows"); + if (s != "*****") { + std::istringstream istr(s); + if (!guarded_read(istr, num_rows)) + error("illegal number of rows `%s' (\"*****\" would be accepted)", + s.c_str()); + has_num_rows = true; + } + + unsigned num_columns; + if (!guarded_read(in, num_columns)) + error("illegal or missing number of columns"); + unsigned space_dim = num_columns - 1; + + if (!guarded_read(in, s)) + error("missing number type"); + Number_Type number_type = INTEGER; + if (s == "integer") + number_type = INTEGER; + else if (s == "rational") + number_type = RATIONAL; + else if (s == "real") + number_type = REAL; + else + error("illegal number type `%s'", s.c_str()); + + if (verbose) { + std::cerr << "Problem dimension: "; + if (has_num_rows) + std::cerr << num_rows; + else + std::cerr << '?'; + std::cerr << " x " << num_columns + << "; number type: " << s + << std::endl; + } + +#if defined(USE_PPL) + + PPL::Constraint_System cs; + PPL::Generator_System gs; + +#elif defined(USE_POLKA) + + // Initialize polka in non-strict mode. + // 25000 is a magic number: with 22500 Polka 2.0.2 dies on + // mit31-20.ine with the error "Chernikova: out of table space". + polka_initialize(polka_false, space_dim, 25000); + // Declare and allocate a Polka matrix. + matrix_t* mat = matrix_alloc(num_rows+1, space_dim+2, polka_false); + +#elif defined(USE_POLYLIB) + + // Declare and allocate a PolyLib matrix. + Matrix* mat = Matrix_Alloc(num_rows+1, space_dim+2); + +#endif + + unsigned row = 0; + std::set<unsigned>::iterator linearity_end = linearity.end(); + if (rep == V) { + // The V representation allows for `space_dim' coordinates. + std::vector<mpz_class> coefficients(space_dim); + mpz_class denominator; + bool has_a_point = false; + for (row = 0; !has_num_rows || row < num_rows; ++row) { + int vertex_marker; + if (!has_num_rows) { + // Must be prepared to read an "end" here. + if (!guarded_read(in, s)) + error("missing vertex marker"); + if (s == "end") + break; + std::istringstream istr(s); + if (!guarded_read(istr, vertex_marker) + || vertex_marker < 0 || vertex_marker > 1) + error("illegal vertex marker `%s'", s.c_str()); + } + else if (!guarded_read(in, vertex_marker) + || vertex_marker < 0 || vertex_marker > 1) + error("illegal or missing vertex marker"); + read_coefficients(in, number_type, coefficients, denominator); + +#if defined(USE_PPL) + // PPL variables have indices 0, 1, ..., space_dim-1. + PPL::Linear_Expression e; + for (unsigned j = space_dim; j-- > 0; ) + e += coefficients[j] * PPL::Variable(j); +#elif defined(USE_POLKA) + // NewPolka variables have indices 2, 3, ..., space_dim+1. + for (unsigned j = space_dim; j-- > 0; ) + pkint_set(mat->p[row][j+2], coefficients[j].get_mpz_t()); +#elif defined(USE_POLYLIB) + // PolyLib variables have indices 1, 2, ..., space_dim. + for (unsigned j = space_dim; j-- > 0; ) + value_assign(mat->p[row][j+1], coefficients[j].get_mpz_t()); +#endif + if (vertex_marker == 1) { + assert(linearity.find(row+1) == linearity_end); +#if defined(USE_PPL) + gs.insert(point(e, denominator)); +#elif defined(USE_POLKA) + // NewPolka stores the generator kind at index 0 (1 = ray/point) + // and the common denominator at index 1. + pkint_set_si(mat->p[row][0], 1); + pkint_set(mat->p[row][1], denominator.get_mpz_t()); +#elif defined(USE_POLYLIB) + // PolyLib stores the generator kind at index 0 (1 = ray/point) + // and the common denominator at index space_dim+1. + value_set_si(mat->p[row][0], 1); + value_assign(mat->p[row][space_dim+1], denominator.get_mpz_t()); +#endif + has_a_point = true; + } + else if (linearity.find(row+1) != linearity_end) { +#if defined(USE_PPL) + gs.insert(line(e)); +#elif defined(USE_POLKA) + // NewPolka stores the generator kind at index 0 (0 = line) + // and the common denominator at index 1 (0 for ray/line). + pkint_set_si(mat->p[row][0], 0); + pkint_set_si(mat->p[row][1], 0); +#elif defined(USE_POLYLIB) + // PolyLib stores the generator kind at index 0 (0 = line) + // and the common denominator at index space_dim+1 (0 for ray/line). + value_set_si(mat->p[row][0], 0); + value_set_si(mat->p[row][space_dim+1], 0); +#endif + } + else { +#if defined(USE_PPL) + gs.insert(ray(e)); +#elif defined(USE_POLKA) + // NewPolka stores the generator kind at index 0 (1 = ray/point) + // and the common denominator at index 1 (0 for ray/line). + pkint_set_si(mat->p[row][0], 1); + pkint_set_si(mat->p[row][1], 0); +#elif defined(USE_POLYLIB) + // PolyLib stores the generator kind at index 0 (1 = ray/point) + // and the common denominator at index space_dim+1 (0 for ray/line). + value_set_si(mat->p[row][0], 1); + value_set_si(mat->p[row][space_dim+1], 0); +#endif + } + } + // Every non-empty generator system must have at least one point. + if (row > 0 && !has_a_point) { +#if defined(USE_PPL) + gs.insert(PPL::point()); +#elif defined(USE_POLKA) + // Add the origin as a point. + pkint_set_si(mat->p[num_rows][0], 1); + pkint_set_si(mat->p[num_rows][1], 1); + for (unsigned j = space_dim; j-- > 0; ) + pkint_set_si(mat->p[num_rows][j+2], 0); + ++num_rows; +#elif defined(USE_POLYLIB) + // Add the origin as a point. + value_set_si(mat->p[num_rows][0], 1); + value_set_si(mat->p[num_rows][space_dim+1], 1); + for (unsigned j = space_dim; j-- > 0; ) + value_set_si(mat->p[num_rows][j+1], 0); + ++num_rows; +#endif + } + + if (verbose) { + if (!has_num_rows) + std::cerr << "Problem dimension: " << row << " x " << num_columns + << "; number type: " << s + << std::endl; + +#if defined(USE_PPL) + using namespace PPL::IO_Operators; + std::cerr << "Generator system:\n" << gs << std::endl; +#elif defined(USE_POLKA) + // Polka can only print to stdout. + printf("Generator system:\n"); + matrix_print(mat); +#elif defined(USE_POLYLIB) + fprintf(stderr, "Generator system:\n"); + Matrix_Print(stderr, 0, mat); +#endif + } + } + else { + assert(rep == H); + // The H representation stores the inhomogeneous term at index 0, + // and the variables' coefficients at indices 1, 2, ..., space_dim. + std::vector<mpz_class> coefficients(space_dim+1); + mpz_class denominator; + for (row = 0; !has_num_rows || row < num_rows; ++row) { + if (!has_num_rows) { + // Must be prepared to read an "end" here. + std::getline(in, s); + if (!in) + error("premature end of file while seeking " + "for coefficients or `end'"); + if (s.substr(0, 2) == "end") + break; + std::istringstream istr(s); + read_coefficients(istr, number_type, coefficients, denominator); + } + else + read_coefficients(in, number_type, coefficients, denominator); + +#if defined(USE_PPL) + // PPL variables have indices 0, 1, ..., space_dim-1. + PPL::Linear_Expression e; + for (unsigned j = num_columns; j-- > 1; ) + e += coefficients[j] * PPL::Variable(j-1); + e += coefficients[0]; +#elif defined(USE_POLKA) + // NewPolka variables have indices 2, 3, ..., space_dim+1. + for (unsigned j = num_columns; j-- > 1; ) + pkint_set(mat->p[row][j+1], coefficients[j].get_mpz_t()); + // NewPolka stores the inhomogeneous term at index 1. + pkint_set(mat->p[row][1], coefficients[0].get_mpz_t()); +#elif defined(USE_POLYLIB) + // PolyLib variables have indices 1, 2, ..., space_dim. + for (unsigned j = num_columns; j-- > 1; ) + value_assign(mat->p[row][j], coefficients[j].get_mpz_t()); + // PolyLib stores the inhomogeneous term at index space_dim+1. + value_assign(mat->p[row][space_dim+1], coefficients[0].get_mpz_t()); +#endif + + if (linearity.find(row+1) != linearity_end) { +#if defined(USE_PPL) + cs.insert(e == 0); +#elif defined(USE_POLKA) + // NewPolka stores the constraint kind at index 0 (0 = equality). + pkint_set_si(mat->p[row][0], 0); +#elif defined(USE_POLYLIB) + // PolyLib stores the constraint kind at index 0 (0 = equality). + value_set_si(mat->p[row][0], 0); +#endif + } + else { +#if defined(USE_PPL) + cs.insert(e >= 0); +#elif defined(USE_POLKA) + // NewPolka stores the constraint kind at index 0 (1 = inequality). + pkint_set_si(mat->p[row][0], 1); +#elif defined(USE_POLYLIB) + // PolyLib stores the constraint kind at index 0 (1 = inequality). + value_set_si(mat->p[row][0], 1); +#endif + } + } + + if (verbose) { + if (!has_num_rows) + std::cerr << "Problem dimension: " << row << " x " << num_columns + << "; number type: " << s + << std::endl; + +#if defined(USE_PPL) + using namespace PPL::IO_Operators; + std::cerr << "Constraint system:\n" << cs << std::endl; +#elif defined(USE_POLKA) + // Polka can only print to stdout. + printf("Constraint system:\n"); + matrix_print(mat); +#elif defined(USE_POLYLIB) + fprintf(stderr, "Constraint system:\n"); + Matrix_Print(stderr, 0, mat); +#endif + } + } + + if (has_num_rows) { + if (!guarded_read(in, s)) + error("premature end of file while seeking for `end'"); + + if (s != "end") + error("`%s' found while seeking for `end'", s.c_str()); + } + + if (rep == H) { +#if defined(USE_PPL) + ph = PPL::C_Polyhedron(cs, PPL::Recycle_Input()); +#elif defined(USE_POLKA) + ph = poly_universe(space_dim); + ph = poly_add_constraints_lazy(ph, mat); +#elif defined(USE_POLYLIB) + ph = Universe_Polyhedron(space_dim); + + // PolyLib is not lazy: it will perform the conversion immediately. + maybe_start_clock(); + ph = AddConstraints(mat->p[0], num_rows, ph, + max_constraints_or_generators); + maybe_print_clock(); +#endif + } + else { +#if defined(USE_PPL) + ph = PPL::C_Polyhedron(gs, PPL::Recycle_Input()); +#elif defined(USE_POLKA) + ph = poly_of_frames(mat); +#elif defined(USE_POLYLIB) + ph = Empty_Polyhedron(space_dim); + + // PolyLib is not lazy: it will perform the conversion immediately. + maybe_start_clock(); + ph = AddRays(mat->p[0], num_rows, ph, + max_constraints_or_generators); + maybe_print_clock(); +#endif + } + return rep; +} + +void +write_polyhedron(std::ostream& out, + const POLYHEDRON_TYPE& ph, + const Representation rep) { + if (rep == H) + guarded_write(out, "H-representation\n"); + else { + assert(rep == V); + guarded_write(out, "V-representation\n"); + } + + std::set<unsigned> linearity; +#if defined(USE_PPL) + unsigned num_rows = 0; + if (rep == H) { + const PPL::Constraint_System& cs = ph.constraints(); + for (PPL::Constraint_System::const_iterator i = cs.begin(), + cs_end = cs.end(); i != cs_end; ++i) { + ++num_rows; + if (i->is_equality()) + linearity.insert(linearity.end(), num_rows); + } + } + else { + const PPL::Generator_System& gs = ph.generators(); + for (PPL::Generator_System::const_iterator i = gs.begin(), + gs_end = gs.end(); i != gs_end; ++i) { + ++num_rows; + if (i->is_line()) + linearity.insert(linearity.end(), num_rows); + } + } +#elif defined(USE_POLKA) + // Don't even try to get frames if the polyhedron is empty. + const matrix_t* mat = (rep == H) + ? poly_constraints(ph) + : (poly_is_empty(ph) ? 0 : poly_frames(ph)); + const unsigned num_rows = (rep == V && poly_is_empty(ph)) ? 0 : mat->nbrows; + for (unsigned i = 0; i < num_rows; ++i) + if (pkint_sgn(mat->p[i][0]) == 0) + linearity.insert(linearity.end(), i+1); +#elif defined(USE_POLYLIB) + const Matrix* mat = (rep == H) + ? Polyhedron2Constraints(ph) + : Polyhedron2Rays(ph); + const unsigned num_rows = mat->NbRows; + for (unsigned i = 0; i < num_rows; ++i) + if (value_sign(mat->p[i][0]) == 0) + linearity.insert(linearity.end(), i+1); +#endif + + if (!linearity.empty()) { + guarded_write(out, "linearity "); + guarded_write(out, linearity.size()); + for (std::set<unsigned>::const_iterator j = linearity.begin(), + linearity_end = linearity.end(); j != linearity_end; ++j) { + guarded_write(out, ' '); + guarded_write(out, *j); + } + guarded_write(out, '\n'); + } + +#if defined(USE_PPL) + PPL::dimension_type space_dim = ph.space_dimension(); +#elif defined(USE_POLKA) + unsigned space_dim = poly_dimension(ph); +#elif defined(USE_POLYLIB) + unsigned space_dim = mat->NbColumns - 2; +#endif + + guarded_write(out, "begin\n"); + guarded_write(out, num_rows); + guarded_write(out, ' '); + guarded_write(out, space_dim+1); + guarded_write(out, ' '); + if (rep == H) + guarded_write(out, "integer\n"); + else + guarded_write(out, "rational\n"); + +#if defined(USE_PPL) + if (rep == H) { + const PPL::Constraint_System& cs = ph.constraints(); + for (PPL::Constraint_System::const_iterator i = cs.begin(), + cs_end = cs.end(); i != cs_end; ++i) { + const PPL::Constraint& c = *i; + guarded_write(out, c.inhomogeneous_term()); + for (PPL::dimension_type j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + guarded_write(out, c.coefficient(PPL::Variable(j))); + } + guarded_write(out, '\n'); + } + } + else { + assert(rep == V); + const PPL::Generator_System& gs = ph.generators(); + for (PPL::Generator_System::const_iterator i = gs.begin(), + gs_end = gs.end(); i != gs_end; ++i) { + const PPL::Generator& g = *i; + if (g.is_point()) { + guarded_write(out, '1'); + const PPL::Coefficient& divisor = g.divisor(); + for (PPL::dimension_type j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + if (g.coefficient(PPL::Variable(j)) == 0) + guarded_write(out, '0'); + else { + mpz_class num, den; + PPL::assign_r(num, + g.coefficient(PPL::Variable(j)), + PPL::ROUND_NOT_NEEDED); + PPL::assign_r(den, divisor, PPL::ROUND_NOT_NEEDED); + guarded_write(out, mpq_class(num, den)); + } + } + } + else { + // `g' is a ray or a line. + guarded_write(out, '0'); + for (PPL::dimension_type j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + guarded_write(out, g.coefficient(PPL::Variable(j))); + } + } + guarded_write(out, '\n'); + } + } +#elif defined(USE_POLKA) + if (rep == H) { + for (unsigned i = 0; i < num_rows; ++i) { + const pkint_t* c = mat->p[i]; + // The inhomogeneous term. + guarded_write(out, c[1]); + // The variables' coefficients. + for (unsigned j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + guarded_write(out, c[j+2]); + } + guarded_write(out, '\n'); + } + } + else { + assert(rep == V); + for (unsigned i = 0; i < num_rows; ++i) { + const pkint_t* g = mat->p[i]; + guarded_write(out, g[0]); + const pkint_t divisor = g[1]; + if (pkint_sgn(divisor) != 0) + // `g' is a point. + for (unsigned j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + if (pkint_sgn(g[j+2]) == 0) + guarded_write(out, '0'); + else + guarded_write(out, mpq_class(mpz_class(g[j+2].rep), + mpz_class(divisor.rep))); + } + else + // `g' is a ray or a line. + for (unsigned j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + guarded_write(out, g[j+2]); + } + guarded_write(out, '\n'); + } + } +#elif defined (USE_POLYLIB) + if (rep == H) { + for (unsigned i = 0; i < num_rows; ++i) { + const Value* c = mat->p[i]; + // The inhomogeneous term. + guarded_write(out, c[space_dim+1]); + // The variables' coefficients. + for (unsigned j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + guarded_write(out, c[j+1]); + } + guarded_write(out, '\n'); + } + } + else { + assert(rep == V); + for (unsigned i = 0; i < num_rows; ++i) { + const Value* g = mat->p[i]; + guarded_write(out, g[0]); + const Value& divisor = g[space_dim+1]; + if (value_sign(divisor) != 0) + // `g' is a point. + for (unsigned j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + if (value_sign(g[j+1]) == 0) + guarded_write(out, '0'); + else + guarded_write(out, mpq_class(mpz_class(g[j+1]), + mpz_class(divisor))); + } + else + // `g' is a ray or a line. + for (unsigned j = 0; j < space_dim; ++j) { + guarded_write(out, ' '); + guarded_write(out, g[j+1]); + } + guarded_write(out, '\n'); + } + } +#endif + guarded_write(out, "end\n"); + + // Flush `out'. + bool flush_succeeded = false; + try { + flush_succeeded = out.flush(); + } + catch (...) { + } + if (!flush_succeeded) + fatal("cannot write to output file `%s'", output_file_name); +} + +} // namespace + +int +main(int argc, char* argv[]) try { + program_name = argv[0]; + +#if defined(USE_PPL) + if (strcmp(PPL_VERSION, PPL::version()) != 0) + fatal("was compiled with PPL version %s, but linked with version %s", + PPL_VERSION, PPL::version()); + + if (verbose) + std::cerr << "Parma Polyhedra Library version:\n" << PPL::version() + << "\n\nParma Polyhedra Library banner:\n" << PPL::banner() + << std::endl; +#endif + + // Process command line options. + process_options(argc, argv); + +#ifdef PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME + + if (max_seconds_of_cpu_time > 0) + set_alarm_on_cpu_time(max_seconds_of_cpu_time, timeout); + +#endif // defined(PPL_LCDD_SUPPORTS_LIMIT_ON_CPU_TIME) + + if (max_bytes_of_virtual_memory > 0) + limit_virtual_memory(max_bytes_of_virtual_memory); + + // Set up the input and output streams. + set_input(input_file_name); + set_output(output_file_name); + + POLYHEDRON_TYPE ph; + Representation rep = read_polyhedron(input(), ph); + + enum Command { None, H_to_V, V_to_H }; + Command command = None; + + // Warn for misplaced linearity commands, and ignore all what follows. + std::string s; + while (guarded_read(input(), s)) { + if (s == "linearity" || s == "equality" || s == "partial_enum") + error("the `linearity' command must occur before `begin'"); + input().ignore(std::numeric_limits<std::streamsize>::max(), '\n'); + } + + +#if defined(USE_PPL) || defined(USE_POLKA) + maybe_start_clock(); +#endif + + // Compute the dual representation. + if (rep == V) { + command = V_to_H; +#if defined(USE_PPL) + ph.minimized_constraints(); +#elif defined(USE_POLKA) + poly_minimize(ph); +#endif + } + else { + command = H_to_V; +#if defined(USE_PPL) + ph.minimized_generators(); +#elif defined(USE_POLKA) + poly_minimize(ph); +#endif + } + +#if defined(USE_PPL) || defined(USE_POLKA) + maybe_print_clock(); +#endif + + // Write the result of the conversion. + if (rep == V) + write_polyhedron(output(), ph, H); + else + write_polyhedron(output(), ph, V); + +#if defined(USE_PPL) + // Check the result, if requested to do so. + if (check_file_name) { + set_input(check_file_name); + // Read the polyhedron containing the expected result. + PPL::C_Polyhedron e_ph; + Representation e_rep = read_polyhedron(input(), e_ph); + + switch (command) { + case H_to_V: + { + if (e_rep == H) + warning("checking an H-to-V conversion with an H representation"); + + // Count the number of generators of `ph'. + unsigned ph_num_generators = 0; + const PPL::Generator_System& ph_gs = ph.generators(); + for (PPL::Generator_System::const_iterator i = ph_gs.begin(), + ph_gs_end = ph_gs.end(); i != ph_gs_end; ++i) + ++ph_num_generators; + + // Count the number of generators of `e_ph'. + unsigned e_ph_num_generators = 0; + const PPL::Generator_System& e_ph_gs = e_ph.generators(); + for (PPL::Generator_System::const_iterator i = e_ph_gs.begin(), + e_ph_gs_end = e_ph_gs.end(); i != e_ph_gs_end; ++i) + ++e_ph_num_generators; + + // If the polyhedra differ, that is the problem. + if (ph != e_ph) { + if (verbose) + std::cerr << "Check failed: polyhedra differ" + << std::endl; + return 1; + } + else if (ph_num_generators != e_ph_num_generators) + // If we have different number of generators, we fail. + std::cerr << "Check failed: different number of generators:\n" + << "expected " << e_ph_num_generators + << ", obtained " << ph_num_generators + << std::endl; + break; + } + case V_to_H: + { + if (e_rep == V) + warning("checking an V-to-H conversion with a V representation"); + + // Count the number of constraints of `ph'. + unsigned ph_num_constraints = 0; + const PPL::Constraint_System& ph_cs = ph.constraints(); + for (PPL::Constraint_System::const_iterator i = ph_cs.begin(), + ph_cs_end = ph_cs.end(); i != ph_cs_end; ++i) + ++ph_num_constraints; + + // Count the number of constraints of `e_ph'. + unsigned e_ph_num_constraints = 0; + const PPL::Constraint_System& e_ph_cs = e_ph.constraints(); + for (PPL::Constraint_System::const_iterator i = e_ph_cs.begin(), + e_ph_cs_end = e_ph_cs.end(); i != e_ph_cs_end; ++i) + ++e_ph_num_constraints; + + // If the polyhedra differ, that is the problem. + if (ph != e_ph) { + if (verbose) + std::cerr << "Check failed: polyhedra differ" + << std::endl; + return 1; + } + else if (ph_num_constraints != e_ph_num_constraints) + // If we have different number of constraints, we fail. + std::cerr << "Check failed: different number of constraints:\n" + << "expected " << e_ph_num_constraints + << ", obtained " << ph_num_constraints + << std::endl; + break; + } + case None: + break; + } + } +#endif + +#if defined(USE_POLKA) + // Finalize the library. + polka_finalize(); +#endif + + return 0; +} +catch (const std::bad_alloc&) { + fatal("out of memory"); + exit(1); +} +catch (const std::overflow_error& e) { + fatal("arithmetic overflow (%s)", e.what()); + exit(1); +} +catch (...) { + fatal("internal error: please submit a bug report to ppl-devel@cs.unipr.it"); + exit(1); +} |