Quelle OneDiffset.gd
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#############################################################################
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#W OneDiffset.gd RDS Package Marc Roeder
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#Y Copyright (C) 2006-2011 Marc Roeder
#Y
#Y This program is free software; you can redistribute it and/or
#Y modify it under the terms of the GNU General Public License
#Y as published by the Free Software Foundation; either version 2
#Y of the License, or (at your option) any later version.
#Y
#Y This program is distributed in the hope that it will be useful,
#Y but WITHOUT ANY WARRANTY; without even the implied warranty of
#Y MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
#Y GNU General Public License for more details.
#Y
#Y You should have received a copy of the GNU General Public License
#Y along with this program; if not, write to the Free Software
#Y Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA
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#O OneDiffset([<partial>],<group>,[<lambda>])
#O OneDiffset(<partial>,[<aim>],<forbidden>,<group>,[<lambda>])
#O OneDiffset([<partial>],<Gdata>,[<lambda>])
#O OneDiffset(<partial>,[<aim>],<forbidden>,<Gdata>,[<lambda>])
#O OneDiffset(<partial>,<completions>,<aim>,<forbidden>,<Gdata>,<lambda>)
##
## This function works exactly like "AllDiffsets", but stops once a
## (partial) relative difference set is found.
## This (partial) relative difference set is then returned. If no set
## with the requested property exists, the empty list is returned.
##
## If `OneDiffset' is called using <Gdata> and lists of integers as
## <partial> and <forbidden>, then the returned difference set is
## the lexicographically smallest one starting with <partial>.
## If the <group>-form is used and <partial> is not empty, `OneDiffset'
## does only work, if the smallest element of <group> is the identity.
## This is not the case for matrix groups in general.
##
DeclareOperation("OneDiffset",
[IsDenseList,IsDenseList,IsPosInt,IsDenseList,IsRecord,IsPosInt]);
DeclareOperation("OneDiffset",[IsGroup]);
DeclareOperation("OneDiffset",[IsRecord]);
DeclareOperation("OneDiffset",[IsGroup,IsPosInt]);
DeclareOperation("OneDiffset",[IsRecord,IsPosInt]);
DeclareOperation("OneDiffset",[IsDenseList,IsGroup]);
DeclareOperation("OneDiffset",[IsDenseList,IsRecord]);
DeclareOperation("OneDiffset",[IsDenseList,IsGroup,IsPosInt]);
DeclareOperation("OneDiffset",[IsDenseList,IsRecord,IsPosInt]);
DeclareOperation("OneDiffset",[IsDenseList,IsDenseList,IsGroup]);
DeclareOperation("OneDiffset",[IsDenseList,IsDenseList,IsRecord]);
DeclareOperation("OneDiffset",[IsDenseList,IsDenseList,IsGroup,IsPosInt]);
DeclareOperation("OneDiffset",[IsDenseList,IsDenseList,IsRecord,IsPosInt]);
DeclareOperation("OneDiffset",[IsDenseList,IsPosInt,IsDenseList,IsGroup]);
DeclareOperation("OneDiffset",[IsDenseList,IsPosInt,IsDenseList,IsRecord]);
DeclareOperation("OneDiffset",[IsDenseList,IsPosInt,IsDenseList,IsGroup,IsPosInt]);
DeclareOperation("OneDiffset",[IsDenseList,IsPosInt,IsDenseList,IsRecord,IsPosInt]);
#############################################################################
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#O OneDiffsetNoSort(<partial>,<group>)
#O OneDiffsetNoSort(<partial>,<Gdata>)
#O OneDiffsetNoSort(<partial>,[<completions>],<aim>,[<forbidden>],<group>,[<lambda>])
#O OneDiffsetNoSort(<partial>,[<completions>],<aim>,[<forbidden>],<Gdata>,[<lambda>])
##
## This works exactly as "AllDiffsetsNoSort" does, but stops once a set
## with the desired properties is found and returns it.
## If no difference set exists, the empty list is returned.
##
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsGroup]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsRecord]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsGroup,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsRecord,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsGroup]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsRecord]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsGroup,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsRecord,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsGroup]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsRecord]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsGroup,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsRecord,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsDenseList,IsGroup]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsDenseList,IsRecord]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsDenseList,IsGroup,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsPosInt,IsDenseList,IsRecord,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsDenseList,IsGroup]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsDenseList,IsRecord]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsDenseList,IsGroup,IsPosInt]);
DeclareOperation("OneDiffsetNoSort",[IsDenseList,IsDenseList,IsPosInt,IsDenseList,IsRecord,IsPosInt]);
#############################################################################
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#E END
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2026-03-28
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