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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346#############################################################################
##
## ToolsForHomalg package
##
## Copyright 2014, Sebastian Gutsche, University of Kaiserslautern
##
##
#############################################################################
DeclareRepresentation( "IsAttributeDependencyGraphForPrintingRep",
IsAttributeDependencyGraphForPrinting and IsAttributeStoringRep,
[ ] );
BindGlobal( "TheFamilyOfAttributeDependencyGraphsForPrinting",
NewFamily( "TheFamilyOfAttributeDependencyGraphsForPrinting" ) );
BindGlobal( "TheTypeAttributeDependencyGraphForPrinting",
NewType( TheFamilyOfAttributeDependencyGraphsForPrinting,
IsAttributeDependencyGraphForPrintingRep ) );
DeclareRepresentation( "IsAttributeDependencyGraphForPrintingNodeRep",
IsAttributeDependencyGraphForPrintingNode and IsAttributeStoringRep,
[ ] );
BindGlobal( "TheFamilyOfAttributeDependencyGraphsForPrintingNodes",
NewFamily( "TheFamilyOfAttributeDependencyGraphsForPrintingNodes" ) );
BindGlobal( "TheTypeAttributeDependencyGraphForPrintingNode",
NewType( TheFamilyOfAttributeDependencyGraphsForPrintingNodes,
IsAttributeDependencyGraphForPrintingNodeRep ) );
DeclareRepresentation( "IsAttributeDependencyGraphForPrintingNodeConjunctionRep",
IsAttributeDependencyGraphForPrintingNode and IsAttributeStoringRep,
[ ] );
BindGlobal( "TheTypeAttributeDependencyGraphForPrintingNodeConjunction",
NewType( TheFamilyOfAttributeDependencyGraphsForPrintingNodes,
IsAttributeDependencyGraphForPrintingNodeConjunctionRep ) );
DeclareRepresentation( "IsAttributeDependencyGraphForPrintingWithFunctionNodeRep",
IsAttributeDependencyGraphForPrintingNode and IsAttributeStoringRep,
[ ] );
BindGlobal( "TheTypeAttributeDependencyGraphForPrintingNodeWithFunction",
NewType( TheFamilyOfAttributeDependencyGraphsForPrintingNodes,
IsAttributeDependencyGraphForPrintingWithFunctionNodeRep ) );
##################################
##
## Constructors
##
##################################
#
InstallGlobalFunction( TOOLS_FOR_HOMALG_CREATE_NODE_INPUT,
function( record )
local conditions, condition_function, type_of_view, compute_level;
if not IsBound( record!.Conditions ) then
Error( "wrong input, Conditions must be set." );
fi;
if IsString( record!.Conditions ) then
record!.type := TheTypeAttributeDependencyGraphForPrintingNode;
else
record!.type := TheTypeAttributeDependencyGraphForPrintingNodeWithFunction;
if IsList( record!.Conditions ) then
conditions := ShallowCopy( record!.Conditions );
condition_function := function( object )
local i, cond;
for i in conditions do
if IsString( i ) then
cond := ValueGlobal( i );
fi;
if IsOperation( cond ) then
if Tester( cond )( object ) <> true then
return fail;
fi;
if cond( object ) <> true then
return false;
fi;
fi;
if IsFunction( i ) then
if i( object ) <> true then
return false;
fi;
fi;
od;
return true;
end;
record!.Conditions := condition_function;
fi;
fi;
if not IsBound( record!.PrintString ) then
if IsString( record!.Conditions ) then
record!.PrintString := record!.Conditions;
else
Error( "some print string must be given" );
fi;
fi;
if not IsString( record!.PrintString ) or IsFunction( record!.PrintString ) then
Error( "wrong print string input. Must be function or string." );
fi;
if not IsBound( record!.TypeOfView ) then
record!.TypeOfView := "ViewObj";
fi;
if not IsBound( record!.ComputeLevel ) then
record!.ComputeLevel := "AllWithCompute";
fi;
type_of_view := record!.TypeOfView;
if not IsInt( type_of_view ) then
if type_of_view = "ViewObj" then
record!.TypeOfView := 1;
elif type_of_view = "Display" then
record!.TypeOfView := 2;
elif type_of_view = "ViewAll" then
record!.TypeOfView := 3;
else
record!.TypeOfView := 4;
fi;
fi;
compute_level := record!.ComputeLevel;
if not IsInt( compute_level ) then
if compute_level = "ViewObj" then
record!.ComputeLevel := 1;
elif compute_level = "Display" then
record!.ComputeLevel := 2;
elif compute_level = "ViewAll" then
record!.ComputeLevel := 3;
else
record!.ComputeLevel := 4;
fi;
fi;
if not IsBound( record!.Adjective ) then
record!.Adjective := false;
fi;
if not IsBound( record!.NoSepString ) then
record!.NoSepString := false;
fi;
return record;
end );
##
InstallMethod( CreateNode,
[ IsRecord ],
function( node )
TOOLS_FOR_HOMALG_CREATE_NODE_INPUT( node );
node!.sucessors := [ ];
node!.predecessors := [ ];
ObjectifyWithAttributes( node, node!.type );
if IsBound( node!.Name ) then
SetName( node, node!.Name );
elif IsString( node!.Conditions ) then
SetName( node, node!.Conditions );
fi;
return node;
end );
##
InstallMethod( CreateConjunctionNode,
[ IsList, IsAttributeDependencyGraphForPrintingNode ],
function( predecessor_list, sucessor )
local conjunction_object;
conjunction_object := rec( sucessor := sucessor,
predecessors := predecessor_list,
fullfillment_list := ListWithIdenticalEntries( Length( predecessor_list ), 0 )
);
ObjectifyWithAttributes( conjunction_object, TheTypeAttributeDependencyGraphForPrintingNodeConjunction );
return conjunction_object;
end );
##
InstallMethod( CreatePrintingGraph,
[ IsOperation ],
function( object_filter )
local printing_graph;
printing_graph := rec( list_of_nodes := [ ],
object_filter := object_filter,
list_of_conjunctions := [ ],
list_of_pre_object_nodes := [ ],
list_of_post_object_nodes := [ ]
);
ObjectifyWithAttributes( printing_graph, TheTypeAttributeDependencyGraphForPrinting );
return printing_graph;
end );
##
InstallMethod( CreatePrintingGraph,
[ IsOperation, IsObject ],
function( object_filter, general_object_description )
local graph;
graph := CreatePrintingGraph( object_filter );
graph!.general_object_description := general_object_description;
return graph;
end );
##
InstallMethod( \=,
[ IsAttributeDependencyGraphForPrintingNode, IsAttributeDependencyGraphForPrintingNode ],
IsIdenticalObj
);
##################################
##
## Setters
##
##################################
##
InstallMethod( AddNodeToGraph,
[ IsAttributeDependencyGraphForPrinting, IsRecord ],
function( graph, node_record )
local node_to_insert;
node_to_insert := CreateNode( node_record );
Add( graph!.list_of_nodes, node_to_insert );
if node_to_insert!.Adjective = true then
Add( graph!.list_of_pre_object_nodes, node_to_insert );
else
Add( graph!.list_of_post_object_nodes, node_to_insert );
fi;
end );
##
InstallMethod( AddRelationToGraph,
[ IsAttributeDependencyGraphForPrinting, IsRecord ],
function( graph, relation_record )
local node_list_without_relations, stop_early, i, conjunction_node, j;
stop_early := false;
if not IsBound( relation_record!.Source ) then
relation_record!.Source := [ ];
stop_early := true;
elif not IsList( relation_record!.Source ) then
relation_record!.Source := [ relation_record!.Source ];
fi;
if not IsBound( relation_record!.Range ) then
relation_record!.Range := [ ];
stop_early := true;
elif not IsList( relation_record!.Range ) then
relation_record!.Range := [ relation_record!.Range ];
fi;
node_list_without_relations := Concatenation( relation_record!.Source, relation_record!.Range );
for i in node_list_without_relations do
if IsString( i ) then
continue;
fi;
AddNodeToGraph( graph, i );
od;
if stop_early = true then
return;
fi;
for i in [ 1 .. Length( relation_record!.Source ) ] do
relation_record!.Source[ i ] := GetNodeByName( graph, relation_record!.Source[ i ] );
od;
for i in [ 1 .. Length( relation_record!.Range ) ] do
relation_record!.Range[ i ] := GetNodeByName( graph, relation_record!.Range[ i ] );
od;
if ForAny( Concatenation( relation_record!.Source, relation_record!.Range ), i -> i = fail ) then
Error( "wrong input name given" );
fi;
for i in relation_record!.Range do
conjunction_node := CreateConjunctionNode( relation_record!.Source, i );
Add( graph!.list_of_conjunctions, conjunction_node );
for j in relation_record!.Source do
Add( j!.sucessors, conjunction_node );
od;
Add( i!.predecessors, conjunction_node );
od;
end );
#################################
##
## Getters
##
#################################
##
InstallMethod( GetNodeByName,
[ IsAttributeDependencyGraphForPrinting, IsString ],
function( graph, node_name )
local node;
for node in graph!.list_of_nodes do
if Name( node ) = node_name then
return node;
fi;
od;
return fail;
end );
##
InstallMethod( GetNodeByName,
[ IsAttributeDependencyGraphForPrinting, IsAttributeDependencyGraphForPrintingNode ],
function( graph, node )
return node;
end );
#################################
##
## Testers
##
#################################
##
InstallMethod( MarkPrintingNode,
[ IsObject, IsAttributeDependencyGraphForPrintingNode, IsInt ],
function( obj, node, marking_level )
MarkPrintingNode( obj, node, node, marking_level );
end );
##
InstallMethod( MarkPrintingNode,
[ IsObject, IsAttributeDependencyGraphForPrintingNodeRep, IsInt ],
function( object, node_to_be_checked, marking_level )
local attr, i, node_level, compute_level;
attr := ValueGlobal( node_to_be_checked!.Conditions );
node_level := node_to_be_checked!.TypeOfView;
if node_level > marking_level then
SetFilterObj( node_to_be_checked, NodeOfHighLevel );
fi;
if ( not Tester( attr )( object ) ) and marking_level < node_to_be_checked!.ComputeLevel then
SetFilterObj( node_to_be_checked, NotComputedNode );
else
attr := attr( object );
if attr = false then
SetFilterObj( node_to_be_checked, FalseNode );
else
for i in node_to_be_checked!.sucessors do
MarkAsImplied( i, node_to_be_checked );
od;
fi;
fi;
end );
##
InstallMethod( MarkPrintingNode,
[ IsObject, IsAttributeDependencyGraphForPrintingWithFunctionNodeRep, IsAttributeDependencyGraphForPrintingNode, IsInt ],
function( object, node_to_be_checked, previous_node, marking_level )
local attr, i, node_level, compute_level;
attr := node_to_be_checked!.Conditions;
node_level := node_to_be_checked!.TypeOfView;
if node_level > marking_level then
SetFilterObj( node_to_be_checked, NodeOfHighLevel );
fi;
attr := attr( object );
if attr = fail then
SetFilterObj( node_to_be_checked, NotComputedNode );
elif attr = false then
SetFilterObj( node_to_be_checked, FalseNode );
else
for i in node_to_be_checked!.sucessors do
MarkAsImplied( i, node_to_be_checked );
od;
fi;
end );
##
InstallMethod( MarkAsImplied,
[ IsAttributeDependencyGraphForPrintingNodeConjunctionRep, IsAttributeDependencyGraphForPrintingNode ],
function( conjunction_node, previous_node )
local position;
position := Position( conjunction_node!.predecessors, previous_node );
if position = fail then
return;
fi;
conjunction_node!.fullfillment_list[ position ] := 1;
if ForAll( conjunction_node!.fullfillment_list, i -> i = 1 ) then
MarkAsImplied( conjunction_node!.sucessor, previous_node );
fi;
end );
##
InstallMethod( MarkAsImplied,
[ IsAttributeDependencyGraphForPrintingNode, IsAttributeDependencyGraphForPrintingNode ],
function( node, previous_node )
local i;
SetFilterObj( node, ImpliedNode );
for i in node!.sucessors do
MarkAsImplied( i, node );
od;
end );
InstallMethod( MarkGraphForPrinting,
[ IsAttributeDependencyGraphForPrinting, IsObject, IsInt ],
function( graph, object, marking_level )
local i;
for i in graph!.list_of_nodes do
MarkPrintingNode( object, i, marking_level );
od;
end );
#################################
##
## Reseters
##
#################################
##
InstallGlobalFunction( RESET_ALL_POSSIBLE_FILTERS_FOR_DEPENDENCY_GRAPH,
function( node )
ResetFilterObj( node, FalseNode );
ResetFilterObj( node, NotComputedNode );
ResetFilterObj( node, NodeOfHighLevel );
ResetFilterObj( node, ImpliedNode );
end );
##
InstallMethod( ResetGraph,
[ IsAttributeDependencyGraphForPrinting ],
function( graph )
local node;
for node in graph!.list_of_nodes do
RESET_ALL_POSSIBLE_FILTERS_FOR_DEPENDENCY_GRAPH( node );
od;
for node in graph!.list_of_conjunctions do
RESET_ALL_POSSIBLE_FILTERS_FOR_DEPENDENCY_GRAPH( node );
node!.fullfillment_list := List( node!.fullfillment_list, i -> 0 );
od;
end );
#################################
##
## Printers
##
#################################
##
InstallGlobalFunction( DECIDE_TYPE_OF_PRINTING,
function( obj, node, print_level )
local attr, value, return_list;
if IsAttributeDependencyGraphForPrintingWithFunctionNodeRep( node ) then
attr := node!.Conditions;
elif IsAttributeDependencyGraphForPrintingNodeRep( node ) then
attr := ValueGlobal( node!.Conditions );
fi;
if NodeOfHighLevel( node ) then
return [ "level_too_high", fail ];
fi;
if NotComputedNode( node ) then
return [ "notcomputed", fail ];
fi;
if ImpliedNode( node ) and print_level <= 2 then
return [ "implied_node", fail ];
fi;
value := attr( obj );
if value = true or value = false then
return_list := [ "property", value ];
else
return_list := [ "attribute", value ];
fi;
if IsFunction( node!.PrintString ) then
Add( return_list, node!.PrintString( obj ) );
else
Add( return_list, node!.PrintString );
fi;
return return_list;
end );
##
InstallGlobalFunction( OBJECT_PRINT_STRING,
function( graph, object )
if IsBound( graph!.general_object_description ) then
if IsString( graph!.general_object_description ) then
return graph!.general_object_description;
elif IsFunction( graph!.general_object_description ) then
return graph!.general_object_description( object );
fi;
elif HasName( object ) then
return Name( object );
elif Length( NamesFilter( graph!.object_filter ) ) > 0 then
return NamesFilter( graph!.object_filter )[ 1 ];
fi;
return "object";
end );
##
InstallGlobalFunction( BUILD_PRINTING_FOR_VIEW_AND_DISPLAY,
function( object, graph, level, separation_string )
local string_list, print_string, current_node, current_type, list_of_current_nodes, list_of_current_nodes_nr, lists_list, current_sep_string, current_printing_list,
current_type_number;
if IsString( separation_string ) then
separation_string := [ separation_string, separation_string ];
fi;
string_list := [ "", "" ];
lists_list := [ graph!.list_of_pre_object_nodes, graph!.list_of_post_object_nodes ];
for list_of_current_nodes_nr in [ 1, 2 ] do
current_sep_string := separation_string[ list_of_current_nodes_nr ];
list_of_current_nodes := lists_list[ list_of_current_nodes_nr ];
print_string := string_list[ list_of_current_nodes_nr ];
current_printing_list := [ ];
for current_node in list_of_current_nodes do
if NodeOfHighLevel( current_node )
or ImpliedNode( current_node )
or FalseNode( current_node )
or NotComputedNode( current_node ) then
continue;
fi;
current_type := DECIDE_TYPE_OF_PRINTING( object, current_node, level );
Add( current_type, current_node!.NoSepString );
Add( current_printing_list, current_type );
od;
current_printing_list := Filtered( current_printing_list, i -> i[ 1 ] = "attribute" or ( i[ 1 ] = "property" and i[ 2 ] = true ) );
Sort( current_printing_list, function( i, j ) if i[ 4 ] = true and j[ 4 ] = false then return false; fi; return true; end );
for current_type_number in [ 1 .. Length( current_printing_list ) ] do
current_type := current_printing_list[ current_type_number ];
if current_type[ 1 ] = "property" and current_type[ 2 ] = true then
Append( print_string, current_type[ 3 ] );
if current_type[ 4 ] = false then
Append( print_string, current_sep_string );
elif current_type[ 4 ] = true and not current_type_number = Length( current_printing_list ) then
Append( print_string, "-" );
Append( print_string, current_sep_string );
fi;
elif current_type[ 2 ] = "attribute" then
Append( print_string, current_type[ 3 ] );
Append( print_string, ": " );
Append( print_string, String( current_type[ 2 ] ) );
Append( print_string, current_sep_string );
fi;
od;
if print_string <> "" and current_printing_list[ Length( current_printing_list ) ][ 4 ] = false then
string_list[ list_of_current_nodes_nr ] := print_string{[ 1 .. Length( print_string ) - Length( current_sep_string ) ]};
Append( string_list[ list_of_current_nodes_nr ], " " );
fi;
od;
return string_list;
end );
InstallMethod( StringMarkedGraphForStringMutable,
[ IsObject, IsAttributeDependencyGraphForPrinting ],
function( object, graph )
local current_node, current_type, print_string, string_to_start_with, obj_description, string;
print_string := BUILD_PRINTING_FOR_VIEW_AND_DISPLAY( object, graph, 1, ", " );
string_to_start_with := print_string[ 1 ];
obj_description := OBJECT_PRINT_STRING( graph, object );
string_to_start_with := Concatenation( string_to_start_with, obj_description );
NormalizeWhitespace( string_to_start_with );
if LowercaseString( string_to_start_with )[ 1 ] in [ 'a', 'e', 'i', 'o', 'u' ] then
string_to_start_with := Concatenation( "An ", string_to_start_with );
else
string_to_start_with := Concatenation( "A ", string_to_start_with );
fi;
string := "";
Append( string, string_to_start_with );
if print_string[ 2 ] <> "" then
Append( string, " which has the following properties: " );
Append( string, print_string[ 2 ] );
fi;
return string;
end );
##
InstallMethod( PrintMarkedGraphForViewObj,
[ IsObject, IsAttributeDependencyGraphForPrinting ],
function( object, graph )
Print( "<", StringMarkedGraphForStringMutable( object, graph ), ">" );
end );
##
InstallMethod( PrintMarkedGraphForDisplay,
[ IsObject, IsAttributeDependencyGraphForPrinting ],
function( object, graph )
local current_node, current_type, print_string, string_to_start_with, obj_description;
print_string := BUILD_PRINTING_FOR_VIEW_AND_DISPLAY( object, graph, 2, [ ", ", ",\n" ] );
string_to_start_with := print_string[ 1 ];
obj_description := OBJECT_PRINT_STRING( graph, object );
string_to_start_with := Concatenation( string_to_start_with, obj_description );
NormalizeWhitespace( string_to_start_with );
if LowercaseString( string_to_start_with )[ 1 ] in [ 'a', 'e', 'i', 'o', 'u' ] then
string_to_start_with := Concatenation( "An ", string_to_start_with );
else
string_to_start_with := Concatenation( "A ", string_to_start_with );
fi;
Print( string_to_start_with );
if print_string[ 2 ] <> "" then
Print( " which has the following properties:\n" );
Print( print_string[ 2 ] );
fi;
Print( ".\n" );
end );
##
InstallMethod( PrintMarkedGraphFull,
[ IsObject, IsAttributeDependencyGraphForPrinting ],
function( object, graph )
local print_string, current_node, current_type;
Print( "Full description:\n" );
Print( OBJECT_PRINT_STRING( graph, object ) );
Print( "\n" );
print_string := "";
for current_node in graph!.list_of_nodes do
current_type := DECIDE_TYPE_OF_PRINTING( object, current_node, 3 );
if current_type[ 1 ] = "level_too_high" then
continue;
fi;
Append( print_string, "- " );
if IsFunction( current_node!.PrintString ) then
Append( print_string, ReplacedString( current_node!.PrintString( object ), "\n", "\n " ) );
else
Append( print_string, current_node!.PrintString );
Append( print_string, ": " );
if current_type[ 1 ] = "notcomputed" then
Append( print_string, "not computed yet" );
else
current_type := ReplacedString( String( current_type[ 2 ] ), "\n", Concatenation( "\n", ListWithIdenticalEntries( Length( current_node!.PrintString ) + 5, ' ' ) ) );
Append( print_string, current_type );
fi;
fi;
Append( print_string, "\n" );
od;
Print( print_string );
end );
##
InstallMethod( PrintMarkedGraphFullWithEverythingComputed,
[ IsObject, IsAttributeDependencyGraphForPrinting ],
function( object, graph )
local print_string, current_node, current_type, general_object_description;
Print( "Full description:\n" );
Print( OBJECT_PRINT_STRING( graph, object ) );
Print( "\n" );
print_string := "";
for current_node in graph!.list_of_nodes do
current_type := DECIDE_TYPE_OF_PRINTING( object, current_node, 4 );
if current_type[ 1 ] = "level_too_high" then
continue;
fi;
Append( print_string, "- " );
if IsFunction( current_node!.PrintString ) then
Append( print_string, ReplacedString( current_node!.PrintString( object ), "\n", "\n " ) );
else
Append( print_string, current_node!.PrintString );
Append( print_string, ": " );
current_type := ReplacedString( String( current_type[ 2 ] ), "\n", Concatenation( "\n", ListWithIdenticalEntries( Length( current_node!.PrintString ) + 5, ' ' ) ) );
Append( print_string, current_type );
fi;
Append( print_string, "\n" );
od;
Print( print_string );
end );
#################################
##
## Installer
##
#################################
InstallMethod( InstallPrintFunctionsOutOfPrintingGraph,
[ IsAttributeDependencyGraphForPrinting ],
function( graph )
InstallPrintFunctionsOutOfPrintingGraph( graph, 0 );
end );
InstallMethod( InstallPrintFunctionsOutOfPrintingGraph,
[ IsAttributeDependencyGraphForPrinting, IsInt ],
function( graph, rank )
local filter, install_view_obj, install_display, install_full_view, install_full_view_with_everything_computed, install_view_string,
install_display_string;
filter := graph!.object_filter;
##get special instructions
install_view_obj := ValueOption( "InstallViewObj" );
if install_view_obj <> false then
install_view_obj := true;
fi;
install_view_string := ValueOption( "InstallViewString" );
if install_view_string <> false then
install_view_string := true;
fi;
install_display := ValueOption( "InstallDisplay" );
if install_display <> false then
install_display := true;
fi;
install_display_string := ValueOption( "InstallDisplayString" );
if install_display_string <> false then
install_display_string := true;
fi;
install_full_view := ValueOption( "InstallFullView" );
if install_full_view <> false then
install_full_view := true;
fi;
install_full_view_with_everything_computed := ValueOption( "InstallFullViewWithEverythingComputed" );
if install_full_view_with_everything_computed <> false then
install_full_view_with_everything_computed := true;
fi;
InstallMethod( StringMutable,
[ filter ],
rank,
function( obj )
local string;
MarkGraphForPrinting( graph, obj, 1 );
string := StringMarkedGraphForStringMutable( obj, graph );
ResetGraph( graph );
return string;
end );
if install_view_obj = true then
InstallMethod( ViewObj,
[ filter ],
rank,
function( obj )
MarkGraphForPrinting( graph, obj, 1 );
PrintMarkedGraphForViewObj( obj, graph );
ResetGraph( graph );
end );
fi;
if install_view_string = true then
InstallMethod( ViewString,
[ filter ],
rank,
function( obj )
local string;
MarkGraphForPrinting( graph, obj, 1 );
string := StringMarkedGraphForStringMutable( obj, graph );
return Concatenation( "<", string, ">" );
ResetGraph( graph );
end );
fi;
if install_display = true then
InstallMethod( Display,
[ filter ],
rank,
function( obj )
MarkGraphForPrinting( graph, obj, 2 );
PrintMarkedGraphForDisplay( obj, graph );
ResetGraph( graph );
end );
fi;
if install_full_view = true then
InstallMethod( FullView,
[ filter ],
function( obj )
MarkGraphForPrinting( graph, obj, 3 );
PrintMarkedGraphFull( obj, graph );
ResetGraph( graph );
end );
fi;
if install_full_view_with_everything_computed = true then
InstallMethod( FullViewWithEverythingComputed,
[ filter ],
function( obj )
MarkGraphForPrinting( graph, obj, 4 );
PrintMarkedGraphFull( obj, graph );
ResetGraph( graph );
end );
fi;
end );