File: sparseVector-class.Rd

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%%----- Docu for *all* sparse vector classes ----------
\name{sparseVector-class}
\docType{class}
\title{Sparse Vector Classes}
\alias{sparseVector-class}
% sub classes
\alias{dsparseVector-class}
\alias{isparseVector-class}
\alias{lsparseVector-class}
\alias{nsparseVector-class}
\alias{zsparseVector-class}
\alias{xsparseVector-class}% the class union
%% Group methods
% \alias{Math,sparseVector-method}
% %\alias{Math2,sparseVector,numeric-method}
\alias{Arith,sparseVector,sparseVector-method}
\alias{Arith,dsparseVector,dsparseVector-method}
\alias{-,dsparseVector,missing-method}
\alias{!,sparseVector-method}
\alias{Logic,sparseVector,sparseVector-method}
\alias{Logic,lsparseVector,lsparseVector-method}
\alias{Logic,nsparseVector,nsparseVector-method}
\alias{Ops,ANY,sparseVector-method}
\alias{Ops,sparseVector,ANY-method}
\alias{Ops,sparseVector,sparseVector-method}
\alias{Ops,sparseVector,atomicVector-method}
\alias{Ops,atomicVector,sparseVector-method}
\alias{Ops,Matrix,sparseVector-method}
\alias{Ops,sparseVector,Matrix-method}
\alias{Arith,ddenseMatrix,sparseVector-method}
\alias{Arith,dgeMatrix,sparseVector-method}
\alias{Arith,sparseVector,ddenseMatrix-method}
\alias{Arith,sparseVector,dgeMatrix-method}
\alias{Logic,dMatrix,sparseVector-method}
\alias{Logic,lMatrix,sparseVector-method}
\alias{Logic,nMatrix,sparseVector-method}
\alias{Logic,sparseVector,dMatrix-method}
\alias{Logic,sparseVector,lMatrix-method}
\alias{Logic,sparseVector,nMatrix-method}
\alias{Summary,sparseVector-method}
\alias{Summary,nsparseVector-method}
%
\alias{coerce,ANY,sparseVector-method}
\alias{coerce,TsparseMatrix,sparseVector-method}
\alias{coerce,diagonalMatrix,sparseVector-method}
\alias{coerce,sparseMatrix,sparseVector-method}
\alias{coerce,atomicVector,sparseVector-method}
\alias{coerce,atomicVector,dsparseVector-method}
\alias{coerce,sparseVector,integer-method}
\alias{coerce,sparseVector,logical-method}
\alias{coerce,sparseVector,numeric-method}
\alias{coerce,sparseVector,vector-method}
\alias{coerce,sparseVector,Matrix-method}
\alias{coerce,sparseVector,sparseMatrix-method}
\alias{coerce,sparseVector,CsparseMatrix-method}
\alias{coerce,sparseVector,TsparseMatrix-method}
\alias{coerce,nsparseVector,lsparseVector-method}
\alias{coerce,nsparseVector,dsparseVector-method}
\alias{coerce,nsparseVector,isparseVector-method}
\alias{coerce,nsparseVector,zsparseVector-method}
\alias{coerce,xsparseVector,dsparseVector-method}
\alias{coerce,xsparseVector,isparseVector-method}
\alias{coerce,xsparseVector,lsparseVector-method}
\alias{coerce,xsparseVector,zsparseVector-method}
\alias{coerce,xsparseVector,nsparseVector-method}
%
\alias{as.logical,sparseVector-method}
\alias{as.numeric,sparseVector-method}
\alias{as.vector,sparseVector,missing-method}
\alias{as.vector,sparseVector,character-method}
\alias{dim<-,sparseVector-method}
\alias{is.na,nsparseVector-method}
\alias{is.na,sparseVector-method}
\alias{length,sparseVector-method}
\alias{mean,sparseVector-method}
\alias{rep,sparseVector-method}
\alias{show,sparseVector-method}
% ../R/products.R :
\alias{\%*\%,Matrix,sparseVector-method}
\alias{\%*\%,sparseVector,Matrix-method}
\alias{crossprod,Matrix,sparseVector-method}
\alias{crossprod,sparseVector,Matrix-method}
\alias{solve,Matrix,sparseVector-method}
\alias{tcrossprod,Matrix,sparseVector-method}
\alias{tcrossprod,sparseVector,Matrix-method}
%
\alias{[,sparseVector,index,ANY,ANY-method}
\alias{[,sparseVector,lsparseVector,ANY,ANY-method}
\alias{[,sparseVector,nsparseVector,ANY,ANY-method}
\alias{[<-,sparseVector,index,missing,replValue-method}
\alias{[<-,sparseVector,sparseVector,missing,replValue-method}
% also indexing in "traditional" vectors:
%R_FIXME \alias{[<-,atomicVector,sparseVector,missing,replValue-method}
%R_FIXME  \alias{[,atomicVector,lsparseVector,ANY,ANY-method}
%R_FIXME  \alias{[,atomicVector,nsparseVector,ANY,ANY-method}
%
\description{Sparse Vector Classes: The virtual mother class
  \code{"sparseVector"} has the five actual daughter classes
   \code{"dsparseVector"}, \code{"isparseVector"},
   \code{"lsparseVector"}, \code{"nsparseVector"}, and
   \code{"zsparseVector"}, where we've mainly implemented methods for
   the \code{d*}, \code{l*} and \code{n*} ones.
}
\section{Slots}{
  \describe{
    \item{\code{length}:}{class \code{"numeric"} - the \code{\link{length}}
     of the sparse vector.  Note that \code{"numeric"} can be
     considerably larger than the maximal \code{"integer"},
     \code{\link{.Machine}$integer.max}, on purpose.}
    \item{\code{i}:}{class \code{"integer"} - the (1-based) indices of
      the non-zero entries.  Must \emph{not} be \code{NA}.}
    \item{\code{x}:}{(for all but \code{"nsparseVector"}):
      the non-zero entries.  This is of class \code{"numeric"} for class
      \code{"dsparseVector"},  \code{"logical"} for class
      \code{"lsparseVector"}, etc.

      Note that \code{"nsparseVector"}s have no \code{x} slot.
      Further, mainly for ease of method definitions, we've defined the
      Further, mainly for ease of method definitions, we've defined the
      class union (see \code{\link{setClassUnion}}) of all sparse vector
      classes which \emph{have} an \code{x} slot, as class \code{"xsparseVector"}.
      }
  }
}
\section{Methods}{
  \describe{
    \item{length}{\code{signature(x = "sparseVector")}: simply extracts
      the \code{length} slot.}
    \item{show}{\code{signature(object = "sparseVector")}: The
      \code{\link{show}} method for sparse vectors prints
      \emph{\dQuote{structural}} zeroes as \code{"."} using the
      non-exported \code{prSpVector} function which allows further
      customization such as replacing \code{"."} by \code{" "} (blank).

      Note that \code{\link{options}(max.print)} will influence how many
      entries of large sparse vectors are printed at all.}
    \item{as.vector}{\code{signature(x = "sparseVector", mode = "character")}
      coerces sparse vectors to \dQuote{regular}, i.e., atomic vectors.
      This is the same as \code{as(x, "vector")}.}
    \item{as}{..: see \code{coerce} below}
    \item{coerce}{\code{signature(from = "sparseVector", to = "sparseMatrix")}, and}
    \item{coerce}{\code{signature(from = "sparseMatrix", to = "sparseVector")},
      etc: coercions to and from sparse matrices (\code{\linkS4class{sparseMatrix}}) are
      provided and work analogously as in standard \R, i.e., a vector is
      coerced to a 1-column matrix.}
    \item{dim<-}{\code{signature(x = "sparseVector", value = "integer")}
      coerces a sparse vector to a sparse Matrix, i.e., an object
      inheriting from \code{\linkS4class{sparseMatrix}}, of the
      appropriate dimension.}
    \item{rep}{\code{signature(x = "sparseVector")} repeat \code{x},
      with the same argument list \code{(x, times, length.out, each,
	...)} as the default method for rep().}

    \item{Ops}{\code{signature(e1 = "sparseVector", e2 = "*")}: define
      arithmetic, compare and logic operations, (see
      \code{\link[=S4groupGeneric]{Ops}}).}
    \item{Summary}{\code{signature(x = "sparseVector")}: define
      all the \code{\link[=S4groupGeneric]{Summary}} methods.}
    \item{[}{\code{signature(x = "atomicVector", i = ...)}: not only can you
      subset (aka \emph{\dQuote{index into}}) sparseVectors \code{x[i]}
      using sparseVectors \code{i}, but we also support efficient
      subsetting of traditional vectors \code{x} by logical sparse
      vectors (i.e., \code{i} of class \code{"nsparseVector"} or
      \code{"lsparseVector"}).}
   }
}
%\author{Martin}
\examples{
getClass("sparseVector")
getClass("dsparseVector")
getClass("xsparseVector")# those with an 'x' slot

sx <- c(0,0,3, 3.2, 0,0,0,-3:1,0,0,2,0,0,5,0,0)
(ss <- as(sx, "sparseVector"))

ix <- as.integer(round(sx))
(is <- as(ix, "sparseVector"))
## an "isparseVector" (!)

## rep() works too:
(ri <- rep(is, length.out= 25))

## Using `dim<-`  as in base R :
r <- ss
dim(r) <- c(4,5) # becomes a sparse Matrix:
r
## or coercion (as as.matrix() in base R):
as(ss, "Matrix")
stopifnot(all(ss == print(as(ss, "CsparseMatrix"))))

## currently has "non-structural" FALSE -- printing as ":"
(lis <- is & FALSE)
(nn <- is[is == 0]) # all "structural" FALSE

## NA-case
sN <- sx; sN[4] <- NA
(svN <- as(sN, "sparseVector"))

%% maybe move to ../tests/ ?
stopifnot(identical(is | FALSE, is != 0),
	  validObject(svN), validObject(lis), as.logical(is.na(svN[4])),
	  identical(is^2 > 0,	is & TRUE),
	  all(!lis), !any(lis), length(nn@i) == 0, !any(nn), all(!nn),
	  sum(lis) == 0, !prod(lis), range(lis) == c(0,0))
}
\keyword{classes}