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#############################################################################
##
#W ctbltoct.g GAP 4 package CTblLib Thomas Breuer
##
## This file contains functions for collecting information about a
## character table contained in the GAP Character Table Library,
## and for turning this information into an overview string.
##
## Functions for creating Browse overviews are in the file 'ctbltocb.g'.
## Functions for creating HTML files are in 'ctbltoc/gap/htmltbl.g' (using
## tools from the file 'gap/utlmrkup.g' of the AtlasRep package).
##
## 0. Some utilities for collecting information
## 1. Transform the info into a plain string.
##

#############################################################################
##
## 0. Some utilities for collecting information
##

#############################################################################
##
## CTblLib.TableValue( <groupname>, <attrname> )
##
## helper: access attribute values
##
CTblLib.TableValue:= function( groupname, attrname )
 local enum, attrs, attr, tbl;

 enum:= CTblLib.Data.IdEnumerator;
 if not groupname in enum.identifiers then
 enum:= CTblLib.Data.IdEnumeratorExt;
 fi;
 if groupname in enum.identifiers then
 attrs:= enum.attributes;
 if IsBound( attrs.( attrname ) ) then
 attr:= attrs.( attrname );
 return attr.attributeValue( attr, groupname );
 fi;
 fi;

 if attrname = "FusionsTo" then
 return Set( List( ComputedClassFusions( CharacterTable( groupname ) ),
 r -> r.name ) );
 elif attrname = "Maxes" then
 tbl:= CharacterTable( groupname );
 if HasMaxes( tbl ) then
 return Maxes( tbl );
 else
 return fail;
 fi;
 elif IsBoundGlobal( attrname ) then
 # We assume that there is a (default) value.
 return ValueGlobal( attrname )( CharacterTable( groupname ) );
 else
 # We have no idea what to do.
 return fail;
 fi;
end;

#############################################################################
##
#F CTblLib.CompareAsNumbersAndNonnumbers( <nam1>, <nam2> )
##
## This is a copy of `BrowseData.CompareAsNumbersAndNonnumbers'.
##
CTblLib.CompareAsNumbersAndNonnumbers:= function( nam1, nam2 )
 local len1, len2, len, digit, comparenumber, i;

 len1:= Length( nam1 );
 len2:= Length( nam2 );
 len:= len1;
 if len2 < len then
 len:= len2;
 fi;
 digit:= false;
 comparenumber:= 0;
 for i in [ 1 .. len ] do
 if nam1[i] in DIGITS then
 if nam2[i] in DIGITS then
 digit:= true;
 if comparenumber = 0 then
 # first digit of a number, or previous digits were equal
 if nam1[i] < nam2[i] then
 comparenumber:= 1;
 elif nam1[i] <> nam2[i] then
 comparenumber:= -1;
 fi;
 fi;
 else
 # if digit then the current number in `nam2' is shorter,
 # so `nam2' is smaller;
 # if not digit then a number starts in `nam1' but not in `nam2',
 # so `nam1' is smaller
 return not digit;
 fi;
 elif nam2[i] in DIGITS then
 # if digit then the current number in `nam1' is shorter,
 # so `nam1' is smaller;
 # if not digit then a number starts in `nam2' but not in `nam1',
 # so `nam2' is smaller
 return digit;
 else
 # both characters are non-digits
 if digit then
 # first evaluate the current numbers (which have the same length)
 if comparenumber = 1 then
 # nam1 is smaller
 return true;
 elif comparenumber = -1 then
 # nam2 is smaller
 return false;
 fi;
 digit:= false;
 fi;
 # now compare the non-digits
 if nam1[i] <> nam2[i] then
 return nam1[i] < nam2[i];
 fi;
 fi;
 od;

 if digit then
 # The suffix of the shorter string is a number.
 # If the longer string continues with a digit then it is larger,
 # otherwise the first digits of the number decide.
 if len < len1 and nam1[ len+1 ] in DIGITS then
 # nam2 is smaller
 return false;
 elif len < len2 and nam2[ len+1 ] in DIGITS then
 # nam1 is smaller
 return true;
 elif comparenumber = 1 then
 # nam1 is smaller
 return true;
 elif comparenumber = -1 then
 # nam2 is smaller
 return false;
 fi;
 fi;

 # Now the longer string is larger.
 return len1 < len2;
end;

##############################################################################
##
#F CTblLib.MaxesInfoTable( <groupname>, <zero> )
##
## `CTblLib.MaxesInfoTable' returns a "datatable" record
## with information about the available character tables of
## maximal subgroups of the group <groupname>.
## If the `Maxes' info for <groupname> is not available then the names of
## the form `<groupname>M' are considered.
##
CTblLib.MaxesInfoTable := function( groupname, zero )
 local maxes, size, matrix, title, i, maxname, maxsize;

 maxes:= CTblLib.TableValue( groupname, "Maxes" );
 size:= CTblLib.TableValue( groupname, "Size" );
 matrix:= [];

 if maxes = fail then
 # List those maxes that are known as such.
 title:= "Some maximal subgroups";
 for i in [ 1 .. 100 ] do
 maxname:= Concatenation( groupname, "M", String( i ) );
 maxname:= LibInfoCharacterTable( maxname );
 if maxname <> fail then
 maxname:= maxname.firstName;
 maxsize:= CTblLib.TableValue( maxname, "Size" );
 Add( matrix, [
 String( i ),
 String( maxsize ),
 String( size / maxsize ),
 rec( type:= "linkedtext",
 display:= StructureDescriptionCharacterTableName(
 maxname ),
 target:= [ "details page", [ maxname, 0 ] ] ),
 rec( type:= "linkedtext",
 display:= maxname,
 target:= [ "details page", [ maxname, 0 ] ] ) ] );
 fi;
 od;
 else
 # Loop over the maxes.
 title:= "Maximal subgroups";
 for maxname in maxes do
 maxsize:= CTblLib.TableValue( maxname, "Size" );
 Add( matrix, [ String( Length( matrix ) + 1 ),
 String( maxsize ),
 String( size / maxsize ),
 rec( type:= "linkedtext",
 display:= StructureDescriptionCharacterTableName(
 maxname ),
 target:= [ "details page", [ maxname, 0 ] ] ),
 rec( type:= "linkedtext",
 display:= maxname,
 target:= [ "details page", [ maxname, 0 ] ] ) ] );
 od;
 fi;

 if IsEmpty( matrix ) then
 return fail;
 fi;

 return rec( type:= "datatable",
 title:= title,
 header:= [ "", "Order", "Index", "Structure", "Name" ],
 matrix:= matrix,
 colalign:= [ "right", "right", "right", "left", "left" ] );
end;

##############################################################################
##
#F CTblLib.SylowNormalizerInfoTable( <groupname>, <zero> )
##
## `CTblLib.SylowNormalizerInfoTable' returns a "datatable" record
## with information about the available character tables of
## Sylow normalizers of the group <groupname>.
##
CTblLib.SylowNormalizerInfoTable := function( groupname, zero )
 local size, matrix, p, name, sylnosize;

 size:= CTblLib.TableValue( groupname, "Size" );
 matrix:= [];

 # Get the tables of the known Sylow normalizers.
 for p in PrimeDivisors( size ) do
 name:= LibInfoCharacterTable(
 Concatenation( groupname, "N", String( p ) ) );
 if name <> fail then
 name:= name.firstName;
 sylnosize:= CTblLib.TableValue( name, "Size" );
 Add( matrix, [ String( p ),
 String( sylnosize ),
 String( size / sylnosize ),
 rec( type:= "linkedtext",
 display:= StructureDescriptionCharacterTableName(
 name ),
 target:= [ "details page", [ name, 0 ] ] ),
 rec( type:= "linkedtext",
 display:= name,
 target:= [ "details page", [ name, 0 ] ] ) ] );
 fi;
 od;

 if IsEmpty( matrix ) then
 return fail;
 fi;

 return rec( type:= "datatable",
 title:= "Stored Sylow p normalizers",
 header:= [ "p", "Order", "Index", "Structure", "Name" ],
 matrix:= matrix,
 colalign:= [ "right", "right", "right", "left", "left" ] );
end;

##############################################################################
##
#F CTblLib.BrauerTableInfoTable( <groupname>, <zero> )
##
## `CTblLib.BrauerTableInfoTable' returns a "datatable" record
## with information about the available Brauer character tables of
## the group <groupname>.
##
CTblLib.BrauerTableInfoTable:= function( groupname, zero )
 local size, matrix, t, p, modtbl;

 size:= CTblLib.TableValue( groupname, "Size" );
 matrix:= [];
 t:= CharacterTable( groupname );

 # Get the tables of the available Brauer tables.
 for p in PrimeDivisors( size ) do
 modtbl:= t mod p;
 if modtbl <> fail then
 Add( matrix, [
 String( p ),
 rec( type:= "linkedtext",
 display:= "details",
 target:= [ "details page", [ groupname, p ] ] ),
 rec( type:= "linkedtext",
 display:= "show table",
 target:= [ "show table", [ groupname, p ] ] ),
 rec( type:= "linkedtext",
 display:= "show dec. matrix",
 target:= [ "dec. matrix", [ groupname, p, 0 ] ] ) ] );
 fi;
 od;

 if IsEmpty( matrix ) then
 return fail;
 fi;

 return rec( type:= "datatable",
 title:= "Available Brauer tables",
 header:= [ "p", "", "", "" ],
 matrix:= matrix,
 colalign:= [ "right", "left", "left", "left" ] );
end;

##############################################################################
##
#F CTblLib.AtlasRepInfoLink( <groupname>, <zero> )
##
## `CTblLib.AtlasRepInfoLink' returns a "linkedtext" record if the package
## `AtlasRep' is available and provides representations of <groupname>;
## the purpose is to allow one to navigate to the AtlasRep overview.
##
CTblLib.AtlasRepInfoLink:= function( groupname, zero )
 local func, n;

 if not IsBoundGlobal( "AllAtlasGeneratingSetInfos" ) then
 return fail;
 fi;
 func:= ValueGlobal( "AllAtlasGeneratingSetInfos" );
 n:= Length( CallFuncList( func, [ groupname ] ) );
 if n = 0 then
 return fail;
 fi;

 return rec( type:= "linkedtext",
 title:= "Atlas representations",
 display:= Concatenation( String( n ), " available" ),
 target:= [ "AtlasRep overview", [ groupname ] ] );
end;

##############################################################################
##
#F CTblLib.GroupInfoList( <groupname>, <zero> )
##
## `CTblLib.GroupInfoList' returns a "datalist" record
## with information about the known group constructions of
## the group <groupname>.
##
CTblLib.GroupInfoList:= function( groupname, zero )
 local grps, i, factors, genericnam, genericfun, entry, pos, info;

 grps:= ShallowCopy( GroupInfoForCharacterTable( groupname ) );
 for i in [ 1 .. Length( grps ) ] do
 if grps[i][1] = "DirectProductByNames" then
 factors:= [];
 genericnam:= [ "Cyclic", "Alternating", "Symmetric", "Dihedral" ];
 genericfun:= [ "C", "A", "S", "D" ];
 for entry in grps[i][2] do
 if Length( entry ) = 1 then
 Add( factors, entry[1] );
 elif Length( entry ) = 2 and IsPosInt( entry[2] ) then
 pos:= Position( genericnam, entry[1] );
 if pos = fail then
 Add( factors, fail );
 else
 Add( factors,
 Concatenation( genericfun[ pos ], String( entry[2] ) ) );
 fi;
 else
 Add( factors, fail );
 fi;
 od;
 if fail in factors then
 Unbind( grps[i] );
 else
 grps[i]:= [ "DirectProduct", factors ];
 fi;
 elif grps[i][1] = "Aut" then
 info:= CTblLib.GroupInfoList( grps[i][2][1], 0 );
 if info = fail or Length( info.list ) = 0 then
 Unbind( grps[i] );
 else
 grps[i]:= [ "AutomorphismGroup",
 Concatenation( " ", info.list[1], " " ) ];
 fi;
 fi;
 od;

 if IsEmpty( grps ) then
 return fail;
 fi;

 grps:= Compacted( grps );
 Sort( grps ); # sort here in order to get increasing degrees etc.
 grps:= List( grps, x -> [ x[1], String( x[2] ) ] );
 grps:= List( grps, x -> Concatenation( x[1], "(",
 x[2]{ [ 2 .. Length( x[2] )-1 ] }, ")" ) );

 return rec( type:= "datalist",
 title:= "Group constructions in GAP",
 list:= grps,
 colalign:= [ "left" ] );
end;

##############################################################################
##
#F CTblLib.FromFusionsInfoList( <groupname>, <zero> )
##
## `CTblLib.FromFusionsInfoList' returns a "datalist" record
## with information about the known class fusions
## from the character table of the group <groupname> to other tables.
##
CTblLib.FromFusionsInfoList:= function( groupname, zero )
 local fusions, list, name;

 # Get the fusion info.
 fusions:= CTblLib.TableValue( groupname, "FusionsTo" );
 if IsEmpty( fusions ) then
 return fail;
 fi;

 fusions:= ShallowCopy( fusions );
 Sort( fusions, CTblLib.CompareAsNumbersAndNonnumbers );
 list:= [];

 # Loop over the fusions.
 for name in fusions do
 Add( list, rec( type:= "linkedtext",
 display:= name,
 target:= [ "details page", [ name, 0 ] ] ) );
 od;

 return rec( type:= "datalist",
 title:= "Stored class fusions from this table",
 list:= list );
end;

##############################################################################
##
#F CTblLib.NamesOfFusionSourcesInfoList( <groupname>, <zero> )
##
## `CTblLib.NamesOfFusionSourcesInfoList' returns a "datalist" record
## with information about the known class fusions
## from other character tables to that of the group <groupname>.
##
CTblLib.NamesOfFusionSourcesInfoList:= function( groupname, zero )
 local fusions, list, name;

 # Get the fusion info.
 fusions:= CTblLib.TableValue( groupname, "NamesOfFusionSources" );
 if IsEmpty( fusions ) then
 return fail;
 fi;

 fusions:= ShallowCopy( fusions );
 Sort( fusions, CTblLib.CompareAsNumbersAndNonnumbers );
 list:= [];

 # Loop over the fusions.
 for name in fusions do
 Add( list, rec( type:= "linkedtext",
 display:= name,
 target:= [ "details page", [ name, 0 ] ] ) );
 od;
 return rec( type:= "datalist",
 title:= "Stored class fusions to this table",
 list:= list );
end;

##############################################################################
##
#F CTblLib.BlocksInfoTable( <groupname>, )
##
## `CTblLib.BlocksInfoTable' returns a "datatable" record
## with information about the -blocks of the group <groupname>.
##
CTblLib.BlocksInfoTable:= function( groupname, p )
 local matrix, t, modtbl, info, i, row;

 matrix:= [];
 t:= CharacterTable( groupname );
 modtbl:= t mod p;
 if modtbl = fail then
#T we could show the numbers of ordinary/Brauer characters per block
 return fail;
 fi;

 info:= BlocksInfo( modtbl );

 for i in [ 1 .. Length( info ) ] do
 row:= [ String( i ), String( info[i].defect ) ];
 if info[i].defect = 0 then
 row[3]:= Concatenation( "chi_", String( info[i].ordchars[1] ),
 ", phi_", String( info[i].modchars[1] ) );
 else
 row[3]:= rec( type:= "linkedtext",
 display:= Concatenation(
 String( Length( info[i].ordchars ) ), " x ",
 String( Length( info[i].modchars ) ) ),
 target:= [ "dec. matrix", [ groupname, p, i ] ] );
 fi;
 Add( matrix, row );
 od;

 return rec( title:= "p-blocks",
 type:= "datatable",
 header:= [ "nr", "defect", "matrix" ],
 matrix:= matrix,
 colalign:= [ "right", "right", "left" ] );
end;

##############################################################################
##
#V CTblLib.OrdinaryTableInfo
#V CTblLib.BrauerTableInfo
##
## `CTblLib.OrdinaryTableInfo' is a list of functions that describe the
## parts of information shown by `BrowseCTblLibInfo' and
## `StringCTblLibInfo'.
#T and also by the HTML file generator `HTMLCreateGroupInfoFile'
##
CTblLib.OrdinaryTableInfo:= [

 # The group order shall be displayed as number and in factored form.
 function( groupname, zero )
 return rec( title:= "Group order",
 type:= "factored order",
 value:= CTblLib.TableValue( groupname, "Size" ) );
 end,

 # The number of classes shall be displayed.
 function( groupname, zero )
 return rec( title:= "Number of classes",
 type:= "string",
 value:= String( CTblLib.TableValue( groupname,
 "NrConjugacyClasses" ) ) );
 end,

 # The `InfoText' value shall be displayed.
 function( groupname, zero )
 return rec( title:= "InfoText value",
 type:= "string",
 value:= CTblLib.TableValue( groupname, "InfoText" ) );
 end,

 # Display the name of the main table of this table.
 function( groupname, zero )
 local name;
 name:= CTblLib.TableValue( groupname, "IdentifierOfMainTable" );
 if name = fail then
 return fail;
 fi;
 return rec( title:= "Main table",
 type:= "linkedtext",
 display:= name,
 target:= [ "details page", [ name, 0 ] ] );
 end,

 # Display the names of duplicates of this table.
 function( groupname, zero )
 local names;
 names:= CTblLib.TableValue( groupname, "IdentifiersOfDuplicateTables" );
 if Length( names ) = 0 then
 return fail;
 fi;
 names:= List( names,
 nam -> rec( type:= "linkedtext",
 display:= nam,
 target:= [ "details page", [ nam, 0 ] ] ) );
 return rec( type:= "datalist",
 title:= "Duplicates",
 list:= names );
 end,

 # Display info about maximal subgroups if available.
 CTblLib.MaxesInfoTable,

 # Display info about Sylow normalizers if available.
 CTblLib.SylowNormalizerInfoTable,

 # Display the available Brauer tables.
 CTblLib.BrauerTableInfoTable,

 # Display the link to AtlasRep if available.
 CTblLib.AtlasRepInfoLink,

 # Display the GroupInfo values.
 CTblLib.GroupInfoList,

 # The fusions on this table shall be mentioned.
 CTblLib.FromFusionsInfoList,

 # The fusions to this table shall be mentioned.
 CTblLib.NamesOfFusionSourcesInfoList,

 ];

CTblLib.BrauerTableInfo:= [

 # The group order shall be displayed as number and in factored form.
 function( groupname, p )
 return rec( title:= "Group order",
 type:= "factored order",
 value:= CTblLib.TableValue( groupname, "Size" ) );
 end,

 # The number of p-regular classes shall be displayed.
 function( groupname, p )
 local t;

 t:= CharacterTable( groupname );
 return rec( title:= "Number of p-regular classes",
 type:= "string",
 value:= Concatenation( String( Length(
 Filtered( OrdersClassRepresentatives( t ),
 x -> x mod p <> 0 ) ) ),
 " out of ",
 String( NrConjugacyClasses( t ) ) ) );
 end,

 # Information about p-blocks shall be displayed.
 CTblLib.BlocksInfoTable,

 ];

#############################################################################
##
## 1. Transform the info into a plain string.
##

##############################################################################
##
#F StringStandardTable( <obj> )
##
StringStandardTable:= function( obj )
 local width, colwidths, row, j, totalwidth, hlines, hlinem, hlinee,
 str, left, mid, right, n, res, header, matrix, frow;

 width:= function( entry )
 if IsString( entry ) then
 return Length( entry );
 else
 return Length( entry.display );
 fi;
 end;

 # Compute column widths.
 if IsBound( obj.header ) then
 colwidths:= List( obj.header, width );
 else
 colwidths:= ListWithIdenticalEntries( Length( obj.matrix[1] ), 0 );
 fi;
 for row in obj.matrix do
 for j in [ 1 .. Length( row ) ] do
 colwidths[j]:= Maximum( colwidths[j], width( row[j] ) );
 od;
 od;
 totalwidth:= Sum( colwidths, 0 ) + 4 + 3 * ( Length( colwidths ) - 1 );
 n:= Length( colwidths );
 if not CTblLib.ShowOnlyASCII() then
 mid:= List( colwidths, i -> RepeatedUTF8String( "─", i ) );
 hlines:= Concatenation( "┌─",
 JoinStringsWithSeparator( mid, "─┬─" ), "─┐" );
 hlinem:= Concatenation( "├─",
 JoinStringsWithSeparator( mid, "─┼─" ), "─┤" );
 hlinee:= Concatenation( "└─",
 JoinStringsWithSeparator( mid, "─┴─" ), "─┘" );
 left:= "│ ";
 mid:= " │ ";
 right:= " │";
 else
 hlines:= RepeatedString( '-', totalwidth );
 hlinem:= hlines;
 hlinee:= hlines;
 left:= "| ";
 mid:= " | ";
 right:= " |";
 fi;
 for j in [ 1 .. n ] do
 if obj.colalign[j] = "left" then
 colwidths[j]:= -colwidths[j];
 fi;
 od;

 res:= [ hlines ];

 if IsBound( obj.header ) then
 header:= List( [ 1 .. n ],
 i -> String( CTblLib.StringRender( obj.header[i] ),
 colwidths[i] ) );
 Add( res, Concatenation( left,
 JoinStringsWithSeparator( header, mid ), right ) );
 Add( res, hlinem );
 fi;

 for row in obj.matrix do
 frow:= List( [ 1 .. n ],
 i -> String( CTblLib.StringRender( row[i] ),
 colwidths[i] ) );
 Add( res, Concatenation( left,
 JoinStringsWithSeparator( frow, mid ), right ) );
 od;
 Add( res, hlinee );

 return res;
end;

##############################################################################
##
#F CTblLib.StringRender( <obj> )
##
CTblLib.StringRender:= function( obj )
 local len, list, str, pos, i, entry, lentry;

 if IsString( obj ) then
 return obj;
 elif not ( IsRecord( obj ) and IsBound( obj.type ) ) then
 Error( "<obj> must be a string or a record with the component `type'" );
 fi;

 if obj.type = "string" then
 return obj.value;
 elif obj.type = "linkedtext" then
 # Ignore the link information.
 return obj.display;
 elif obj.type = "datalist" then
 # Break the list into lines.
 # (In each line, add at least one entry, then fill up.
 # Note that `FormatParagraph' would be allowed to add line breaks
 # inside entries.)
 len:= SizeScreen()[1] - 5;
 list:= [];
 str:= Concatenation( CTblLib.StringRender( obj.list[1] ), "," );
 pos:= Length( str );
 for i in [ 2 .. Length( obj.list ) ] do
 entry:= CTblLib.StringRender( obj.list[i] );
 lentry:= Length( entry ) + 2;
 if pos + lentry > len then
 Add( list, str );
 str:= "";
 pos:= 0;
 fi;
 if pos <> 0 then
 Append( str, " " );
 pos:= pos + 1;
 fi;
 Append( str, entry );
 Append( str, "," );
 pos:= pos + lentry - 1;
 od;
 Unbind( str[ pos ] );
 Add( list, str );

 return list;
 elif obj.type = "datatable" then
 return StringStandardTable( obj );
 elif obj.type = "factored order" then
 return Concatenation( String( obj.value ), " = ",
 StringPP( obj.value ) );
 else
 Error( "unknown type `", obj.type, "'" );
 fi;
end;

##############################################################################
##
#F DisplayCTblLibInfo( <tbl> )
#F DisplayCTblLibInfo( <name>[, ] )
#F StringCTblLibInfo( <tbl> )
#F StringCTblLibInfo( <name>[, ] )
##
## <#GAPDoc Label="DisplayCTblLibInfo">
## <ManSection>
## <Func Name="DisplayCTblLibInfo" Arg='tbl' Label="for a character table"/>
## <Func Name="DisplayCTblLibInfo" Arg='name[, p]' Label="for a name"/>
## <Func Name="StringCTblLibInfo" Arg='tbl' Label="for a character table"/>
## <Func Name="StringCTblLibInfo" Arg='name[, p]' Label="for a name"/>
##
## <Description>
## When <Ref Func="DisplayCTblLibInfo" Label="for a character table"/>
## is called with an ordinary or modular character table <A>tbl</A> then
## an overview of the information available for this character table
## is shown via the function that is given by the user preference
## <Ref Subsect="subsect:displayfunction"/>.
## When <Ref Func="DisplayCTblLibInfo" Label="for a name"/>
## is called with a string <A>name</A> that is an admissible name for
## an ordinary character table then the overview for this character table
## is shown.
## If a prime integer <A>p</A> is entered in addition to <A>name</A> then
## information about the <A>p</A>-modular character table is shown instead.
## 
## An interactive variant of
## <Ref Func="DisplayCTblLibInfo" Label="for a name"/> is
## <Ref Func="BrowseCTblLibInfo"/>.
## 
## The string that is shown by
## <Ref Func="DisplayCTblLibInfo" Label="for a name"/> can be computed using
## <Ref Func="StringCTblLibInfo" Label="for a name"/>,
## with the same arguments.
## 
## <Example><![CDATA[
## gap> StringCTblLibInfo( CharacterTable( "A5" ) );;
## gap> StringCTblLibInfo( CharacterTable( "A5" ) mod 2 );;
## gap> StringCTblLibInfo( "A5" );;
## gap> StringCTblLibInfo( "A5", 2 );;
## ]]></Example>
## </Description>
## </ManSection>
## <#/GAPDoc>
##
BindGlobal( "StringCTblLibInfo", function( groupname, p... )
 local name, title, attr, str, info, fun, val, str2;

 if Length( p ) = 0 and IsCharacterTable( groupname ) then
 p:= UnderlyingCharacteristic( groupname );
 groupname:= Identifier( groupname );
 if p <> 0 then
 name:= PartsBrauerTableName( groupname );
 if name <> fail then
 groupname:= name.ordname;
 fi;
 fi;
 elif Length( p ) = 0 and IsString( groupname ) then
 p:= 0;
 elif Length( p ) = 1 and IsString( groupname ) and IsPosInt( p[1] ) then
 p:= p[1];
 else
 Error( "usage: StringCTblLibInfo( <tbl> ) or\n",
 " StringCTblLibInfo( <name>[, ] )" );
 fi;

 name:= LibInfoCharacterTable( groupname );
 if name = fail then
 return "";
 fi;
 groupname:= name.firstName;

 # Construct the information about `groupname'.
 title:= Concatenation( "Character Table info for ", groupname );
 if p <> 0 then
 Append( title, Concatenation( " mod ", String( p ) ) );
 fi;

 # header line
 attr:= IsBound( TextAttr ) and IsRecord( TextAttr );
 if attr then
 str:= ShallowCopy( TextAttr.underscore );
 else
 str:= "";
 fi;
 Append( str, title );
 if attr then
 Append( str, TextAttr.reset );
 fi;
 Append( str, "\n\n" );

 if p = 0 then
 info:= CTblLib.OrdinaryTableInfo;
 else
 info:= CTblLib.BrauerTableInfo;
 fi;

 for fun in info do
 val:= fun( groupname, p );
 if val <> fail then
 if attr then
 Append( str, TextAttr.bold );
 fi;
 Append( str, val.title );
 Append( str, ":" );
 if attr then
 Append( str, TextAttr.reset );
 fi;
 Append( str, "\n " );
 str2:= CTblLib.StringRender( val );
 if IsString( str2 ) then
 str2:= ReplacedString( str2, "\n", "\n " );
 else
 str2:= JoinStringsWithSeparator( str2, "\n " );
 fi;
 Append( str, str2 );
 Append( str, "\n\n" );
 fi;
 od;

 return str;
end );

BindGlobal( "DisplayCTblLibInfo", function( arg )
 local str, width, fun;

 str:= CallFuncList( StringCTblLibInfo, arg );
 if str <> "" then
 width:= SizeScreen()[1] - 2;
 if CTblLib.ShowOnlyASCII() then
 str:= List( SplitString( str, "\n" ),
 l -> InitialSubstringUTF8String( l, width, "*" ) );
 else
 str:= List( SplitString( str, "\n" ),
 l -> InitialSubstringUTF8String( l, width, "⋯" ) );
 fi;

 fun:= EvalString( UserPreference( "AtlasRep", "DisplayFunction" ) );
 fun( JoinStringsWithSeparator( str, "\n" ) );
 fi;
end );

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#E

Quelle ctbltoct.g Sprache: unbekannt

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