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#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
############################################################################
#
# This file is a sample implementation for new style vectors and matrices.
# It stores matrices as dense lists of lists with wrapping.
# This part declares the representations and other type related things,
# and declares some global functions.
#
#############################################################################
##
## <#GAPDoc Label="IsPlistVectorRep">
## <ManSection>
## <Filt Name="IsPlistVectorRep" Arg='obj' Type="Representation"/>
##
## <Description>
## An object <A>obj</A> in <Ref Filt="IsPlistVectorRep"/> describes
## a vector object (see <Ref Filt="IsVectorObj"/>) that can occur as a row
## in a row list matrix
## (see Section <Ref Subsect="Operations for Row List Matrix Objects"/>).
## <P/>
## <Ref Filt="IsPlistVectorRep"/> implies <Ref Filt="IsCopyable"/>,
## thus vector objects in this representation can be mutable.
## </Description>
## </ManSection>
## <#/GAPDoc>
##
## <A>obj</A> is internally represented as a positional object
## (see <Ref Filt="IsPositionalObjectRep"/> that stores 2 entries:
## <Enum>
## <Item>
## its base domain
## (see <Ref Attr="BaseDomain" Label="for a vector object"/>)
## and
## </Item>
## <Item>
## a dense plain list (see <Ref Filt="IsPlistRep"/> of its entries.
## </Item>
## </Enum>
## <P/>
## Any <A>obj</A> in <Ref Filt="IsPlistVectorRep"/> satisfies that
## the entries in the stored plain list are elements of the stored base
## domain, in the sense of <C>\in</C>.
##
DeclareRepresentation( "IsPlistVectorRep",
IsVectorObj and IsPositionalObjectRep
and IsCopyable
and IsNoImmediateMethodsObject
and HasBaseDomain and HasOneOfBaseDomain and HasZeroOfBaseDomain,
[] );
#############################################################################
##
## <#GAPDoc Label="IsPlistMatrixRep">
## <ManSection>
## <Filt Name="IsPlistMatrixRep" Arg='obj' Type="Representation"/>
##
## <Description>
## An object <A>obj</A> in <Ref Filt="IsPlistMatrixRep"/> describes
## a matrix object (see <Ref Filt="IsMatrixObj"/>) that behaves similar to
## a list of its rows, in the sense of <Ref Filt="IsRowListMatrix"/>.
## <P/>
## <Ref Filt="IsPlistMatrixRep"/> implies <Ref Filt="IsCopyable"/>,
## thus matrix objects in this representation can be mutable.
## </Description>
## </ManSection>
## <#/GAPDoc>
##
## <A>obj</A> is internally represented as a positional object
## (see <Ref Filt="IsPositionalObjectRep"/>) that stores 4 entries:
## <Enum>
## <Item>
## its base domain
## (see <Ref Attr="BaseDomain" Label="for a matrix object"/>),
## </Item>
## <Item>
## an empty vector in the representation of each row,
## </Item>
## <Item>
## the number of columns
## (see <Ref Attr="NumberColumns" Label="for a matrix object"/>), and
## </Item>
## <Item>
## a dense plain list (see <Ref Filt="IsPlistRep"/> of its rows,
## each of them being an object in <Ref Filt="IsPlistVectorRep"/>.
## </Item>
## </Enum>
## <P/>
## Any <A>obj</A> in <Ref Filt="IsPlistMatrixRep"/> satisfies that
## each entry in the stored plain list is a vector in
## <Ref Filt="IsPlistVectorRep"/>, whose base domain is identical with the
## stored base domain of <A>obj</A> and whose length is the stored number
## of columns.
##
DeclareRepresentation( "IsPlistMatrixRep",
IsRowListMatrix and IsPositionalObjectRep
and IsCopyable
and IsNoImmediateMethodsObject
and HasNumberRows and HasNumberColumns
and HasBaseDomain and HasOneOfBaseDomain and HasZeroOfBaseDomain,
[] );
# Some constants for matrix access:
BindGlobal( "BDPOS", 1 );
BindGlobal( "EMPOS", 2 );
BindGlobal( "RLPOS", 3 );
BindGlobal( "ROWSPOS", 4 );
# For vector access:
#BindGlobal( "BDPOS", 1 ); # see above
BindGlobal( "ELSPOS", 2 );
# Two filters to speed up some methods:
DeclareFilter( "IsIntVector" );
DeclareFilter( "IsFFEVector" );
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