/usr/share/gap/lib/rvecempt.gi is in gap-libs 4r7p5-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
#W rvecempt.gi GAP library Thomas Breuer
##
##
#Y Copyright (C) 1997, Lehrstuhl D für Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St Andrews, Scotland
#Y Copyright (C) 2002 The GAP Group
##
#############################################################################
##
#R IsEmptyRowVectorRep( <obj> )
##
DeclareRepresentation( "IsEmptyRowVectorRep",
IsPositionalObjectRep and IsConstantTimeAccessList,
[] );
#############################################################################
##
#M EmptyRowVector( <F> ) . . . . . . . . . . . . . . . . . . . for a family
##
InstallMethod( EmptyRowVector,
"for a family",
true,
[ IsFamily ], 0,
function( F )
return Objectify( NewType( CollectionsFamily( F ),
IsRowVector
and IsEmpty
and IsEmptyRowVectorRep ),
[] );
end );
#############################################################################
##
#M ViewObj( <emptyvec> ) . . . . . . . . . . . . . . . for empty row vector
##
InstallMethod( ViewObj,
"for an empty row vector",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( emptyvec )
Print( "<empty row vector>" );
end );
#############################################################################
##
#M Length( <emptyvec> ) . . . . . . . . . . . . . . . for empty row vector
##
InstallMethod( Length,
"for an empty row vector",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
emptyvec -> 0 );
#############################################################################
##
#M IsBound\[\]( <emptyvec>, <pos> ) . for empty row vector, and pos. integer
##
InstallMethod( IsBound\[\],
"for an empty row vector, and a positive integer",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep,
IsPosInt ], 0,
function( emptyvec, pos )
return false;
end );
#############################################################################
##
#M ShallowCopy( <emptyvec> ) . . . . . . . . . . . . for an empty row vector
##
InstallMethod( ShallowCopy,
"for an empty row vector",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( emptyvec )
Error( "mutable empty row vectors are not yet supported" );
#T !!
end );
#############################################################################
##
#M \=( <emptyvec>, <coll> ) . . . . . . for empty row vector and collection
##
InstallMethod( \=,
"for an empty row vector, and a collection in the same family",
IsIdenticalObj,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep, IsCollection ], 0,
function( emptyvec, coll )
return IsEmpty( coll );
end );
#############################################################################
##
#M \=( <coll>, <emptyvec> ) . . . . . . for collection and empty row vector
##
InstallMethod( \=,
"for a collection, and an empty row vector in the same family",
IsIdenticalObj,
[ IsCollection, IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( coll, emptyvec )
return IsEmpty( coll );
end );
#############################################################################
##
#T \<( <emptyvec>, <coll> ) . . . . . . for empty row vector and collection
#T \<( <coll>, <emptyvec> ) . . . . . . for collection and empty row vector
##
#############################################################################
##
#M \+( <emptyvec>, <emptyvec> ) . . . . . . . . . for two empty row vectors
##
InstallMethod( \+,
"for two empty row vectors in the same family",
IsIdenticalObj,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep,
IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( emptyvec1, emptyvec2 )
return emptyvec1;
end );
#############################################################################
##
#M AdditiveInverseOp( <emptyvec> ) . . . . . . . . . . for empty row vector
##
InstallMethod( AdditiveInverseOp,
"for empty row vector",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
IdFunc );
#############################################################################
##
#M ZeroOp( <emptyvec> ) . . . . . . . . . . . . . . . for empty row vector
##
InstallMethod( ZeroOp,
"for empty row vector",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
IdFunc );
#############################################################################
##
#M \*( <coeff>, <emptyvec> ) . . . . for mult. element and empty row vector
##
InstallMethod( \*,
"for multiplicative element, and empty row vector",
IsElmsColls,
[ IsMultiplicativeElement,
IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( coeff, emptyvec )
return emptyvec;
end );
#############################################################################
##
#M \*( <emptyvec>, <coeff> ) . . . . for empty row vector and mult. element
##
InstallMethod( \*,
"for empty row vector, and multiplicative element",
IsCollsElms,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep,
IsMultiplicativeElement ], 0,
function( emptyvec, coeff )
return emptyvec;
end );
#############################################################################
##
#M \*( <int>, <emptyvec> ) . . . . . . . . for integer, and empty row vector
##
InstallMethod( \*,
"for integer, and empty row vector",
true,
[ IsInt, IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( int, emptyvec )
return emptyvec;
end );
#############################################################################
##
#M \*( <emptyvec>, <int> ) . . . . . . . . for empty row vector, and integer
##
InstallMethod( \*,
"for empty row vector, and integer",
true,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep, IsInt ], 0,
function( emptyvec, int )
return emptyvec;
end );
#############################################################################
##
#M \*( <emptyvec>, <emptyvec> ) . . . . . . . . . for two empty row vectors
##
InstallMethod( \*,
"for two empty row vectors in the same family",
IsIdenticalObj,
[ IsRowVector and IsEmpty and IsEmptyRowVectorRep,
IsRowVector and IsEmpty and IsEmptyRowVectorRep ], 0,
function( emptyvec1, emptyvec2 )
return Zero( ElementsFamily( FamilyObj( emptyvec1 ) ) );
end );
#############################################################################
##
#E rvecempt.gi . . . . . . . . . . . . . . . . . . . . . . . . . . ends here
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