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[matrix] Diff of /pkg/Matrix/R/diagMatrix.R
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Diff of /pkg/Matrix/R/diagMatrix.R

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revision 1654, Fri Oct 27 16:58:15 2006 UTC revision 2237, Fri Jul 25 06:55:42 2008 UTC
# Line 16  Line 16 
16      if(missing(x)) ## unit diagonal matrix      if(missing(x)) ## unit diagonal matrix
17          new("ddiMatrix", Dim = c(n,n), diag = "U")          new("ddiMatrix", Dim = c(n,n), diag = "U")
18      else {      else {
19          stopifnot(length(x) == n)          lx <- length(x)
20            stopifnot(lx == 1 || lx == n) # but keep 'x' short for now
21          if(is.logical(x))          if(is.logical(x))
22              cl <- "ldiMatrix"              cl <- "ldiMatrix"
23          else if(is.numeric(x)) {          else if(is.numeric(x)) {
# Line 26  Line 27 
27          else if(is.complex(x)) {          else if(is.complex(x)) {
28              cl <- "zdiMatrix"  # will not yet work              cl <- "zdiMatrix"  # will not yet work
29          } else stop("'x' has invalid data type")          } else stop("'x' has invalid data type")
30          new(cl, Dim = c(n,n), diag = "N", x = x)          new(cl, Dim = c(n,n), diag = "N",
31                x = if(lx == 1) rep.int(x,n) else x)
32      }      }
33  }  }
34    
35    .sparseDiagonal <- function(n, x = rep.int(1,n), uplo = "U", shape = "t") {
36        stopifnot(n == (n. <- as.integer(n)), (n <- n.) >= 0)
37        if((lx <- length(x)) == 1) x <- rep.int(x, n)
38        else if(lx != n) stop("length(x) must be 1 or n")
39        stopifnot(is.character(shape), nchar(shape) == 1,
40                  any(shape == c("t","s","g"))) # triangular / symmetric / general
41        kind <-
42            if(is.double(x)) "d"
43            else if(is.logical(x)) "l"
44            else { ## for now
45                storage.mode(x) <- "double"
46                "d"
47            }
48        new(paste(kind, shape, "CMatrix", sep=''),
49            Dim = c(n,n), x = x, uplo = uplo,
50            i = if(n) 0:(n - 1L) else integer(0), p = 0:n)
51    }
52    
53    ## Pkg 'spdep' had (relatively slow) versions of this as_dsCMatrix_I()
54    .symDiagonal <- function(n, x = rep.int(1,n), uplo = "U")
55        .sparseDiagonal(n, x, uplo, shape = "s")
56    
57    ## instead of   diagU2N(as(Diagonal(n), "CsparseMatrix")), diag = "N" in any case:
58    .trDiagonal <- function(n, x = rep.int(1,n), uplo = "U")
59        .sparseDiagonal(n, x, uplo, shape = "t")
60    
61    
62  ### This is modified from a post of Bert Gunter to R-help on  1 Sep 2005.  ### This is modified from a post of Bert Gunter to R-help on  1 Sep 2005.
63  ### Bert's code built on a post by Andy Liaw who most probably was influenced  ### Bert's code built on a post by Andy Liaw who most probably was influenced
64  ### by earlier posts, notably one by Scott Chasalow on S-news, 16 Jan 2002  ### by earlier posts, notably one by Scott Chasalow on S-news, 16 Jan 2002
65  ### who posted his bdiag() function written in December 1995.  ### who posted his bdiag() function written in December 1995.
66    if(FALSE)##--- no longer used:
67  bdiag <- function(...) {  .bdiag <- function(lst) {
68      if(nargs() == 0) return(new("dgCMatrix"))      ### block-diagonal matrix [a dgTMatrix] from list of matrices
69      ## else :      stopifnot(is.list(lst), length(lst) >= 1)
70      mlist <- if (nargs() == 1) as.list(...) else list(...)      dims <- sapply(lst, dim, USE.NAMES=FALSE)
     dims <- sapply(mlist, dim)  
71      ## make sure we had all matrices:      ## make sure we had all matrices:
72      if(!(is.matrix(dims) && nrow(dims) == 2))      if(!(is.matrix(dims) && nrow(dims) == 2))
73          stop("some arguments are not matrices")          stop("some arguments are not matrices")
74      csdim <- rbind(rep.int(0:0, 2),      csdim <- rbind(rep.int(0L, 2),
75                     apply(sapply(mlist, dim), 1, cumsum))                     apply(dims, 1, cumsum))
76      ret <- new("dgTMatrix", Dim = as.integer(csdim[nrow(csdim),]))      r <- new("dgTMatrix")
77        r@Dim <- as.integer(csdim[nrow(csdim),])
78      add1 <- matrix(1:0, 2,2)      add1 <- matrix(1:0, 2,2)
79      for(i in seq_along(mlist)) {      for(i in seq_along(lst)) {
80          indx <- apply(csdim[i:(i+1),] + add1, 2, function(n) n[1]:n[2])          indx <- apply(csdim[i:(i+1),] + add1, 2, function(n) n[1]:n[2])
81          if(is.null(dim(indx))) ## non-square matrix          if(is.null(dim(indx))) ## non-square matrix
82              ret[indx[[1]],indx[[2]]] <- mlist[[i]]              r[indx[[1]],indx[[2]]] <- lst[[i]]
83          else ## square matrix          else ## square matrix
84              ret[indx[,1],indx[,2]] <- mlist[[i]]              r[indx[,1], indx[,2]] <- lst[[i]]
85        }
86        r
87    }
88    ## expand(<mer>) needed something like bdiag() for lower-triangular
89    ## (Tsparse) Matrices; hence Doug Bates provided a much more efficient
90    ##  implementation for those; now extended and generalized:
91    .bdiag <- function(lst) {
92        ## block-diagonal matrix [a dgTMatrix] from list of matrices
93        stopifnot(is.list(lst), (nl <- length(lst)) >= 1)
94    
95        Tlst <- lapply(lapply(lst, Matrix:::as_Csp2), # includes "diagU2N"
96                       as, "TsparseMatrix")
97        if(nl == 1) return(Tlst[[1]])
98        ## else
99        i_off <- c(0L, cumsum(sapply(Tlst, nrow)))
100        j_off <- c(0L, cumsum(sapply(Tlst, ncol)))
101    
102        clss <- sapply(Tlst, class)
103        knds <- substr(clss, 2, 2)
104        sym  <- knds == "s" # symmetric ones
105        tri  <- knds == "t" # triangular ones
106        use.n <- any(is.n <- substr(clss,1,1) == "n")
107        if(use.n && !(use.n <- all(is.n)))
108            Tlst[is.n] <- lapply(Tlst[is.n], as, "lMatrix")
109        if(all(sym)) { ## result should be *symmetric*
110            uplos <- sapply(Tlst, slot, "uplo") ## either "U" or "L"
111            tLU <- table(uplos)# of length 1 or 2 ..
112            if(length(tLU) == 1) { ## all "U" or all "L"
113                useU <- uplos[1] == "U"
114            } else { ## length(tLU) == 2, counting "L" and "U"
115                useU <- diff(tLU) >= 0
116                if(useU && (hasL <- tLU[1] > 0))
117                    Tlst[hasL] <- lapply(Tlst[hasL], t)
118                else if(!useU && (hasU <- tLU[2] > 0))
119                    Tlst[hasU] <- lapply(Tlst[hasU], t)
120            }
121            if(use.n) { ## return nsparseMatrix :
122                r <- new("nsTMatrix")
123            } else {
124                r <- new("dsTMatrix")
125                r@x <- unlist(lapply(Tlst, slot, "x"))
126      }      }
127      ## slightly debatable if we really should return Csparse.. :          r@uplo <- if(useU) "U" else "L"
     as(ret, "CsparseMatrix")  
128  }  }
129        else if(all(tri) && { ULs <- sapply(Tlst, slot, "uplo")##  "U" or "L"
130                              all(ULs[1L] == ULs[-1L]) } ## all upper or all lower
131           ){ ## *triangular* result
132    
133  diag2T <- function(from) {          if(use.n) { ## return nsparseMatrix :
134      i <- if(from@diag == "U") integer(0) else seq_len(from@Dim[1]) - 1:1              r <- new("ntTMatrix")
135      new(paste(.M.kind(from), "tTMatrix", sep=''),          } else {
136                r <- new("dtTMatrix")
137                r@x <- unlist(lapply(Tlst, slot, "x"))
138            }
139            r@uplo <- ULs[1L]
140        }
141        else {
142            if(any(sym))
143                Tlst[sym] <- lapply(Tlst[sym], as, "generalMatrix")
144            if(use.n) { ## return nsparseMatrix :
145                r <- new("ngTMatrix")
146            } else {
147                r <- new("dgTMatrix")
148                r@x <- unlist(lapply(Tlst, slot, "x"))
149            }
150        }
151        r@Dim <- c(i_off[nl+1], j_off[nl + 1])
152        r@i <- unlist(lapply(1:nl, function(k) Tlst[[k]]@i + i_off[k]))
153        r@j <- unlist(lapply(1:nl, function(k) Tlst[[k]]@j + j_off[k]))
154        r
155    }
156    
157    bdiag <- function(...) {
158        if((nA <- nargs()) == 0) return(new("dgCMatrix"))
159        if(nA == 1 && !is.list(...))
160            return(as(..., "CsparseMatrix"))
161        alis <- if(nA == 1 && is.list(..1)) ..1 else list(...)
162        if(length(alis) == 1)
163            return(as(alis[[1]], "CsparseMatrix"))
164    
165        ## else : two or more arguments
166        as(.bdiag(alis), "CsparseMatrix")
167    }
168    
169    
170    .diag2tT <- function(from, uplo = "U", kind = .M.kind(from)) {
171        ## to triangular Tsparse
172        i <- if(from@diag == "U") integer(0) else seq_len(from@Dim[1]) - 1L
173        new(paste(kind, "tTMatrix", sep=''),
174          diag = from@diag, Dim = from@Dim, Dimnames = from@Dimnames,          diag = from@diag, Dim = from@Dim, Dimnames = from@Dimnames,
175            uplo = uplo,
176          x = from@x, # <- ok for diag = "U" and "N" (!)          x = from@x, # <- ok for diag = "U" and "N" (!)
177          i = i, j = i)          i = i, j = i)
178  }  }
179    
180  setAs("diagonalMatrix", "triangularMatrix", diag2T)  .diag2sT <- function(from, uplo = "U", kind = .M.kind(from)) {
181  setAs("diagonalMatrix", "sparseMatrix", diag2T)      ## to symmetric Tsparse
182  ## is better than this:      n <- from@Dim[1]
183  ## setAs("diagonalMatrix", "sparseMatrix",      i <- seq_len(n) - 1L
184  ##       function(from)      new(paste(kind, "sTMatrix", sep=''),
185  ##        as(from, if(is(from, "dMatrix")) "dgCMatrix" else "lgCMatrix"))          Dim = from@Dim, Dimnames = from@Dimnames,
186  setAs("diagonalMatrix", "CsparseMatrix",          i = i, j = i, uplo = uplo,
187        function(from) as(diag2T(from), "CsparseMatrix"))          x = if(from@diag == "N") from@x else ## "U"-diag
188            rep.int(switch(kind,
189                           "d" = 1.,
190                           "l" =,
191                           "n" = TRUE,
192                           ## otherwise
193                           stop("'", kind,"' kind not yet implemented")), n))
194    }
195    
196    ## diagonal -> triangular,  upper / lower depending on "partner":
197    diag2tT.u <- function(d, x, kind = .M.kind(d))
198        .diag2tT(d, uplo = if(is(x,"triangularMatrix")) x@uplo else "U", kind)
199    
200    ## diagonal -> sparse {triangular OR symmetric} (upper / lower) depending on "partner":
201    diag2Tsmart <- function(d, x, kind = .M.kind(d)) {
202        clx <- getClassDef(class(x))
203        if(extends(clx, "symmetricMatrix"))
204            .diag2sT(d, uplo = x@uplo, kind)
205        else
206            .diag2tT(d, uplo = if(extends(clx,"triangularMatrix")) x@uplo else "U", kind)
207    }
208    
209  setAs("diagonalMatrix", "matrix",  
210    ## In order to evade method dispatch ambiguity warnings,
211    ## and because we can save a .M.kind() call, we use this explicit
212    ## "hack"  instead of signature  x = "diagonalMatrix" :
213    ##
214    ## ddi*:
215    diag2tT <- function(from) .diag2tT(from, "U", "d")
216    setAs("ddiMatrix", "triangularMatrix", diag2tT)
217    setAs("ddiMatrix", "sparseMatrix", diag2tT)
218    ## needed too (otherwise <dense> -> Tsparse is taken):
219    setAs("ddiMatrix", "TsparseMatrix", diag2tT)
220    setAs("ddiMatrix", "CsparseMatrix",
221          function(from) as(.diag2tT(from, "U", "d"), "CsparseMatrix"))
222    setAs("ddiMatrix", "symmetricMatrix",
223          function(from) .diag2sT(from, "U", "d"))
224    ##
225    ## ldi*:
226    diag2tT <- function(from) .diag2tT(from, "U", "l")
227    setAs("ldiMatrix", "triangularMatrix", diag2tT)
228    setAs("ldiMatrix", "sparseMatrix", diag2tT)
229    ## needed too (otherwise <dense> -> Tsparse is taken):
230    setAs("ldiMatrix", "TsparseMatrix", diag2tT)
231    setAs("ldiMatrix", "CsparseMatrix",
232          function(from) as(.diag2tT(from, "U", "l"), "CsparseMatrix"))
233    setAs("ldiMatrix", "symmetricMatrix",
234          function(from) .diag2sT(from, "U", "l"))
235    
236    
237    setAs("diagonalMatrix", "nMatrix",
238        function(from) {        function(from) {
239            n <- from@Dim[1]            n <- from@Dim[1]
240            diag(x = if(from@diag == "U") { if(is.numeric(from@x)) 1. else TRUE            i <- if(from@diag == "U") integer(0) else which(isN0(from@x)) - 1L
241                                       } else from@x,            new("ntTMatrix", i = i, j = i, diag = from@diag,
242                 nrow = n, ncol = n)                Dim = from@Dim, Dimnames = from@Dimnames)
243        })        })
244    
245  setAs("diagonalMatrix", "generalMatrix", # prefer sparse:  setAs("diagonalMatrix", "nsparseMatrix", function(from) as(from, "nMatrix"))
246        function(from) as(from, paste(.M.kind(from), "gCMatrix", sep='')))  
247    ## Cheap fast substitute for diag() which *does* preserve the mode of x :
248    mkDiag <- function(x, n) {
249        y <- matrix(as0(mod=mode(x)), n,n)
250        if (n > 0) y[1L + 0:(n - 1L) * (n + 1L)] <- x
251        y
252    }
253    
254  ## given the above, the following  4  coercions should be all unneeded;  setAs("diagonalMatrix", "matrix",
 ## we prefer triangular to general:  
 setAs("ddiMatrix", "dgTMatrix",  
255        function(from) {        function(from) {
256            .Deprecated("as(, \"sparseMatrix\")")            ## want "ldiMatrix" -> <logical> "matrix" :
257            n <- from@Dim[1]            mkDiag(if(from@diag == "U") as1(from@x) else from@x,
258            i <- seq_len(n) - 1:1                   n = from@Dim[1])
259            new("dgTMatrix", i = i, j = i,        })
               x = if(from@diag == "U") rep(1,n) else from@x,  
               Dim = c(n,n), Dimnames = from@Dimnames) })  
260    
261  setAs("ddiMatrix", "dgCMatrix",  setMethod("as.vector", signature(x = "diagonalMatrix", mode="missing"),
262        function(from) as(as(from, "dgTMatrix"), "dgCMatrix"))            function(x, mode) {
263                  n <- x@Dim[1]
264                  mod.x <- mode(x@x)
265                  r <- vector(mod.x, length = n^2)
266                  if(n)
267                      r[1 + 0:(n - 1) * (n + 1)] <-
268                          if(x@diag == "U") as1(mod=mod.x) else x@x
269                  r
270              })
271    
272  setAs("ldiMatrix", "lgTMatrix",  setAs("diagonalMatrix", "generalMatrix", # prefer sparse:
273        function(from) {        function(from) as(as(from, "CsparseMatrix"), "generalMatrix"))
           .Deprecated("as(, \"sparseMatrix\")")  
           n <- from@Dim[1]  
           if(from@diag == "U") { # unit-diagonal  
               x <- rep.int(TRUE, n)  
               i <- seq_len(n) - 1:1  
           } else { # "normal"  
               nz <- nz.NA(from@x, na. = TRUE)  
               x <- from@x[nz]  
               i <- which(nz) - 1:1  
           }  
           new("lgTMatrix", i = i, j = i, x = x,  
               Dim = c(n,n), Dimnames = from@Dimnames) })  
274    
275  setAs("ldiMatrix", "lgCMatrix",  .diag.x <- function(m) if(m@diag == "U") rep.int(as1(m@x), m@Dim[1]) else m@x
       function(from) as(as(from, "lgTMatrix"), "lgCMatrix"))  
276    
277    .diag.2N <- function(m) {
278        if(m@diag == "U") m@diag <- "N"
279        m
280    }
281    
 if(FALSE) # now have faster  "ddense" -> "dge"  
282  setAs("ddiMatrix", "dgeMatrix",  setAs("ddiMatrix", "dgeMatrix",
283        function(from) as(as(from, "matrix"), "dgeMatrix"))        function(from) .Call(dup_mMatrix_as_dgeMatrix, from))
284    setAs("ddiMatrix", "ddenseMatrix",
285          function(from) as(as(from, "triangularMatrix"),"denseMatrix"))
286    setAs("ldiMatrix", "ldenseMatrix",
287          function(from) as(as(from, "triangularMatrix"),"denseMatrix"))
288    
289    
290  setAs("matrix", "diagonalMatrix",  setAs("matrix", "diagonalMatrix",
291        function(from) {        function(from) {
# Line 162  Line 326 
326                x = if(uni) x[FALSE] else x)                x = if(uni) x[FALSE] else x)
327        })        })
328    
329    
330    setMethod("diag", signature(x = "diagonalMatrix"),
331              function(x = 1, nrow, ncol) .diag.x(x))
332    
333    subDiag <- function(x, i, j, ..., drop) {
334        x <- as(x, "sparseMatrix")
335        x <- if(missing(i))
336            x[, j, drop=drop]
337        else if(missing(j))
338            x[i, , drop=drop]
339        else
340            x[i,j, drop=drop]
341        if(isS4(x) && isDiagonal(x)) as(x, "diagonalMatrix") else x
342    }
343    
344    setMethod("[", signature(x = "diagonalMatrix", i = "index",
345                             j = "index", drop = "logical"), subDiag)
346    setMethod("[", signature(x = "diagonalMatrix", i = "index",
347                            j = "missing", drop = "logical"),
348              function(x, i, j, ..., drop) subDiag(x, i=i, drop=drop))
349    setMethod("[", signature(x = "diagonalMatrix", i = "missing",
350                             j = "index", drop = "logical"),
351              function(x, i, j, ..., drop) subDiag(x, j=j, drop=drop))
352    
353  ## When you assign to a diagonalMatrix, the result should be  ## When you assign to a diagonalMatrix, the result should be
354  ## diagonal or sparse  ## diagonal or sparse ---
355    ## FIXME: this now fails because the "denseMatrix" methods come first in dispatch
356    ## Only(?) current bug:  x[i] <- value  is wrong when  i is *vector*
357    replDiag <- function(x, i, j, ..., value) {
358        x <- as(x, "sparseMatrix")
359        if(missing(i))
360            x[, j] <- value
361        else if(missing(j)) { ##  x[i , ] <- v  *OR*   x[i] <- v
362            na <- nargs()
363    ##         message("diagnosing replDiag() -- nargs()= ", na)
364            if(na == 4)
365                x[i, ] <- value
366            else if(na == 3)
367                x[i] <- value
368            else stop("Internal bug: nargs()=",na,"; please report")
369        } else
370            x[i,j] <- value
371        if(isDiagonal(x)) as(x, "diagonalMatrix") else x
372    }
373    
374    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index",
375                                    j = "index", value = "replValue"), replDiag)
376    
377    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index",
378                                    j = "missing", value = "replValue"),
379                     function(x,i,j, ..., value) {
380                         ## message("before replDiag() -- nargs()= ", nargs())
381                         if(nargs() == 3)
382                             replDiag(x, i=i, value=value)
383                         else ## nargs() == 4 :
384                             replDiag(x, i=i, , value=value)
385                     })
386    
387  setReplaceMethod("[", signature(x = "diagonalMatrix",  setReplaceMethod("[", signature(x = "diagonalMatrix",
388                                  i = "ANY", j = "ANY", value = "ANY"),                                  i = "matrix", # 2-col.matrix
389                   function(x, i, j, value) {                                  j = "missing", value = "replValue"),
390                       r <- callGeneric(x = as(x,"sparseMatrix"),                   function(x,i,j, ..., value) {
391                                        i=i, j=j, value=value)                       if(ncol(i) == 2) {
392                       if(isDiagonal(r)) as(r, "diagonalMatrix") else r                           if(all((ii <- i[,1]) == i[,2])) { # replace in diagonal only
393                                 if(x@diag == "U") {
394                                     one <- as1(x@x)
395                                     if(any(value != one | is.na(value))) {
396                                         x@diag <- "N"
397                                         x@x <- rep.int(one, x@Dim[1])
398                                     }
399                                 }
400                                 x@x[ii] <- value
401                                 x
402                             } else { ## no longer diagonal, but remain sparse:
403                                 x <- as(x, "sparseMatrix")
404                                 x[i] <- value
405                                 x
406                             }
407                         }
408                         else { # behave as "base R": use as if vector
409                             x <- as(x, "matrix")
410                             x[i] <- value
411                             Matrix(x)
412                         }
413                   })                   })
414    
415    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing",
416                                    j = "index", value = "replValue"),
417                     function(x,i,j, ..., value) replDiag(x, j=j, value=value))
418    
419    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing", j = "index",
420                                    value = "scarceMatrix"),
421                     function (x, i, j, ..., value)
422                     callGeneric(x=x, , j=j, value = as(value, "sparseVector")))
423    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "missing",
424                                    value = "scarceMatrix"),
425                     function (x, i, j, ..., value)
426                     callGeneric(x=x, i=i, , value = as(value, "sparseVector")))
427    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "index",
428                                    value = "scarceMatrix"),
429                     function (x, i, j, ..., value)
430                     callGeneric(x=x, i=i, j=j, value = as(value, "sparseVector")))
431    
432    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing", j = "index",
433                                    value = "sparseVector"),
434                     replDiag)
435    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "missing",
436                                    value = "sparseVector"),
437                     replDiag)
438    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "index",
439                                    value = "sparseVector"),
440                     replDiag)
441    
442    
443  setMethod("t", signature(x = "diagonalMatrix"),  setMethod("t", signature(x = "diagonalMatrix"),
444            function(x) { x@Dimnames <- x@Dimnames[2:1] ; x })            function(x) { x@Dimnames <- x@Dimnames[2:1] ; x })
# Line 181  Line 448 
448  setMethod("isTriangular", signature(object = "diagonalMatrix"),  setMethod("isTriangular", signature(object = "diagonalMatrix"),
449            function(object) TRUE)            function(object) TRUE)
450  setMethod("isSymmetric", signature(object = "diagonalMatrix"),  setMethod("isSymmetric", signature(object = "diagonalMatrix"),
451            function(object) TRUE)            function(object, ...) TRUE)
452    
453  setMethod("chol", signature(x = "ddiMatrix"),# pivot = "ANY"  setMethod("symmpart", signature(x = "diagonalMatrix"), function(x) x)
454            function(x, pivot) {  setMethod("skewpart", signature(x = "diagonalMatrix"), setZero)
455                if(any(x@x < 0)) stop("chol() is undefined for diagonal matrix with negative entries")  
456    setMethod("chol", signature(x = "ddiMatrix"),
457              function(x, pivot, ...) {
458                  if(x@diag == "U") return(x)
459                  ## else
460                  if(any(x@x < 0))
461                      stop("chol() is undefined for diagonal matrix with negative entries")
462                x@x <- sqrt(x@x)                x@x <- sqrt(x@x)
463                x                x
464            })            })
465  ## chol(L) is L for logical diagonal:  ## chol(L) is L for logical diagonal:
466  setMethod("chol", signature(x = "ldiMatrix"), function(x, pivot) x)  setMethod("chol", signature(x = "ldiMatrix"), function(x, pivot, ...) x)
   
467    
468  setMethod("diag", signature(x = "diagonalMatrix"),  setMethod("determinant", signature(x = "diagonalMatrix", logarithm = "logical"),
469            function(x = 1, nrow, ncol = n) {            function(x, logarithm, ...) mkDet(.diag.x(x), logarithm))
              if(x@diag == "U")  
                  rep.int(if(is.logical(x@x)) TRUE else 1, x@Dim[1])  
              else x@x  
           })  
470    
471  setMethod("!", "ldiMatrix", function(e1) {  setMethod("norm", signature(x = "diagonalMatrix", type = "character"),
472      if(e1@diag == "N")            function(x, type, ...) {
473          e1@x <- !e1@x                if((n <- x@Dim[1]) == 0) return(0) # as for "sparseMatrix"
474      else { ## "U"                type <- toupper(substr(type[1], 1, 1))
475          e1@diag <- "N"                isU <- (x@diag == "U") # unit-diagonal
476          e1@x <- rep.int(FALSE, e1@Dim[1])                if(type == "F") sqrt(if(isU) n else sum(x@x^2))
477                  else { ## norm == "I","1","O","M" :
478                      if(isU) 1 else max(abs(x@x))
479      }      }
     x  
480  })  })
481    
482    
483    
484  ## Basic Matrix Multiplication {many more to add}  ## Basic Matrix Multiplication {many more to add}
485  ##       ---------------------  ##       ---------------------
486  ## Note that "ldi" logical are treated as numeric  ## Note that "ldi" logical are treated as numeric
487  diagdiagprod <- function(x, y) {  diagdiagprod <- function(x, y) {
488      if(any(dim(x) != dim(y))) stop("non-matching dimensions")      n <- dimCheck(x,y)[1]
489      if(x@diag != "U") {      if(x@diag != "U") {
490          if(y@diag != "U") {          if(y@diag != "U") {
491              nx <- x@x * y@x              nx <- x@x * y@x
# Line 242  Line 513 
513    
514    
515  diagmatprod <- function(x, y) {  diagmatprod <- function(x, y) {
516        ## x is diagonalMatrix
517      dx <- dim(x)      dx <- dim(x)
518      dy <- dim(y)      dy <- dim(y)
519      if(dx[2] != dy[1]) stop("non-matching dimensions")      if(dx[2] != dy[1]) stop("non-matching dimensions")
520      n <- dx[1]      n <- dx[1]
521      as(if(x@diag == "U") y else x@x * y, "Matrix")      as(if(x@diag == "U") y else x@x * y, "Matrix")
522  }  }
   
523  setMethod("%*%", signature(x = "diagonalMatrix", y = "matrix"),  setMethod("%*%", signature(x = "diagonalMatrix", y = "matrix"),
524            diagmatprod)            diagmatprod)
525    ## sneaky .. :
526  formals(diagmatprod) <- alist(x=, y=NULL)  formals(diagmatprod) <- alist(x=, y=NULL)
527  setMethod("crossprod", signature(x = "diagonalMatrix", y = "matrix"),  setMethod("crossprod", signature(x = "diagonalMatrix", y = "matrix"),
528            diagmatprod)            diagmatprod)
 setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "matrix"),  
           diagmatprod)  
529    
530  diagdgeprod <- function(x, y) {  diagGeprod <- function(x, y) {
531      dx <- dim(x)      dx <- dim(x)
532      dy <- dim(y)      dy <- dim(y)
533      if(dx[2] != dy[1]) stop("non-matching dimensions")      if(dx[2] != dy[1]) stop("non-matching dimensions")
# Line 265  Line 535 
535          y@x <- x@x * y@x          y@x <- x@x * y@x
536      y      y
537  }  }
538  setMethod("%*%", signature(x = "diagonalMatrix", y = "dgeMatrix"),  setMethod("%*%", signature(x= "diagonalMatrix", y= "dgeMatrix"), diagGeprod)
539            diagdgeprod, valueClass = "dgeMatrix")  setMethod("%*%", signature(x= "diagonalMatrix", y= "lgeMatrix"), diagGeprod)
540  formals(diagdgeprod) <- alist(x=, y=NULL)  formals(diagGeprod) <- alist(x=, y=NULL)
541  setMethod("crossprod", signature(x = "diagonalMatrix", y = "dgeMatrix"),  setMethod("crossprod", signature(x = "diagonalMatrix", y = "dgeMatrix"),
542            diagdgeprod, valueClass = "dgeMatrix")            diagGeprod, valueClass = "dgeMatrix")
543    setMethod("crossprod", signature(x = "diagonalMatrix", y = "lgeMatrix"),
544              diagGeprod)
545    
546  setMethod("%*%", signature(x = "matrix", y = "diagonalMatrix"),  matdiagprod <- function(x, y) {
           function(x, y) {  
547                dx <- dim(x)                dx <- dim(x)
548                dy <- dim(y)                dy <- dim(y)
549                if(dx[2] != dy[1]) stop("non-matching dimensions")                if(dx[2] != dy[1]) stop("non-matching dimensions")
550                as(if(y@diag == "U") x else x * rep(y@x, each = dx[1]), "Matrix")      Matrix(if(y@diag == "U") x else x * rep(y@x, each = dx[1]))
551            })  }
552    setMethod("%*%", signature(x = "matrix", y = "diagonalMatrix"),
553              matdiagprod)
554    formals(matdiagprod) <- alist(x=, y=NULL)
555    setMethod("tcrossprod", signature(x = "matrix", y = "diagonalMatrix"),
556              matdiagprod)
557    
558  setMethod("%*%", signature(x = "dgeMatrix", y = "diagonalMatrix"),  gediagprod <- function(x, y) {
           function(x, y) {  
559                dx <- dim(x)                dx <- dim(x)
560                dy <- dim(y)                dy <- dim(y)
561                if(dx[2] != dy[1]) stop("non-matching dimensions")                if(dx[2] != dy[1]) stop("non-matching dimensions")
562                if(y@diag == "N")                if(y@diag == "N")
563                    x@x <- x@x * rep(y@x, each = dx[1])                    x@x <- x@x * rep(y@x, each = dx[1])
564                x                x
565            })  }
566    setMethod("%*%", signature(x= "dgeMatrix", y= "diagonalMatrix"), gediagprod)
567    setMethod("%*%", signature(x= "lgeMatrix", y= "diagonalMatrix"), gediagprod)
568    formals(gediagprod) <- alist(x=, y=NULL)
569    setMethod("tcrossprod", signature(x = "dgeMatrix", y = "diagonalMatrix"),
570              gediagprod)
571    setMethod("tcrossprod", signature(x = "lgeMatrix", y = "diagonalMatrix"),
572              gediagprod)
573    
574  ## crossprod {more of these}  ## crossprod {more of these}
575    
576  ## tcrossprod --- all are not yet there: do the dense ones here:  ## tcrossprod --- all are not yet there: do the dense ones here:
577    
578    setMethod("%*%", signature(x = "diagonalMatrix", y = "denseMatrix"),
579              function(x, y) if(x@diag == "U") y else x %*% as(y, "generalMatrix"))
580    setMethod("%*%", signature(x = "denseMatrix", y = "diagonalMatrix"),
581              function(x, y) if(y@diag == "U") x else as(x, "generalMatrix") %*% y)
582    
583    
584  ## FIXME:  ## FIXME:
585  ## setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "denseMatrix"),  ## setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "denseMatrix"),
586  ##        function(x, y = NULL) {  ##        function(x, y = NULL) {
# Line 302  Line 590 
590  ##        function(x, y = NULL) {  ##        function(x, y = NULL) {
591  ##           })  ##           })
592    
593    setMethod("crossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),
594              function(x, y = NULL) crossprod(as(x, "sparseMatrix"), y))
595    
596  ### ---------------- diagonal  o  sparse  -----------------------------  setMethod("crossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),
597              function(x, y = NULL) crossprod(x, as(y, "sparseMatrix")))
598    
599  ## These are cheap implementations via coercion  setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),
600              function(x, y = NULL) tcrossprod(as(x, "sparseMatrix"), y))
601    
602  setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "sparseMatrix"),  setMethod("tcrossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),
603            function(e1,e2) callGeneric(as(e1, "sparseMatrix"), e2))            function(x, y = NULL) tcrossprod(x, as(y, "sparseMatrix")))
 setMethod("Ops", signature(e1 = "sparseMatrix", e2 = "diagonalMatrix"),  
           function(e1,e2) callGeneric(e1, as(e2, "sparseMatrix")))  
604    
 ## FIXME?: In theory, this can be done *FASTER*, in some cases, via tapply1()  
605    
606    ## FIXME?: In theory, this can be done *FASTER*, in some cases, via tapply1()
607  setMethod("%*%", signature(x = "diagonalMatrix", y = "sparseMatrix"),  setMethod("%*%", signature(x = "diagonalMatrix", y = "sparseMatrix"),
608            function(x, y) as(x, "sparseMatrix") %*% y)            function(x, y) as(x, "sparseMatrix") %*% y)
   
609  setMethod("%*%", signature(x = "sparseMatrix", y = "diagonalMatrix"),  setMethod("%*%", signature(x = "sparseMatrix", y = "diagonalMatrix"),
610            function(x, y) x %*% as(y, "sparseMatrix"))            function(x, y) x %*% as(y, "sparseMatrix"))
611    ## NB: The previous is *not* triggering for  "ddi" o "dgC" (= distance 3)
612    ##     since there's a "ddense" o "Csparse" at dist. 2 => triggers first.
613    ## ==> do this:
614    setMethod("%*%", signature(x = "diagonalMatrix", y = "CsparseMatrix"),
615              function(x, y) as(x, "CsparseMatrix") %*% y)
616    setMethod("%*%", signature(x = "CsparseMatrix", y = "diagonalMatrix"),
617              function(x, y) x %*% as(y, "CsparseMatrix"))
618    ## NB: this is *not* needed for Tsparse & Rsparse
619    ## TODO: Write tests in ./tests/ which ensure that many "ops" with diagonal*
620    ##       do indeed work by going through sparse (and *not* ddense)!
621    
 setMethod("crossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),  
           function(x, y = NULL) { x <- as(x, "sparseMatrix"); callGeneric() })  
622    
 setMethod("crossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),  
           function(x, y = NULL) { y <- as(y, "sparseMatrix"); callGeneric() })  
623    
624  setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),  setMethod("solve", signature(a = "diagonalMatrix", b = "missing"),
625            function(x, y = NULL) { x <- as(x, "sparseMatrix"); callGeneric() })            function(a, b, ...) {
626                  a@x <- 1/ a@x
627                  a@Dimnames <- a@Dimnames[2:1]
628                  a
629              })
630    
631  setMethod("tcrossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),  solveDiag <- function(a, b, ...) {
632            function(x, y = NULL) { y <- as(y, "sparseMatrix"); callGeneric() })      if((n <- a@Dim[1]) != nrow(b))
633            stop("incompatible matrix dimensions")
634        ## trivially invert a 'in place' and multiply:
635        a@x <- 1/ a@x
636        a@Dimnames <- a@Dimnames[2:1]
637        a %*% b
638    }
639    setMethod("solve", signature(a = "diagonalMatrix", b = "matrix"),
640              solveDiag)
641    setMethod("solve", signature(a = "diagonalMatrix", b = "Matrix"),
642              solveDiag)
643    
644    ## Schur()  ---> ./eigen.R
645    
646    
647    
648    ###---------------- <Ops> (<Arith>, <Logic>, <Compare> ) ----------------------
649    
650    ## Use function for several signatures, in order to evade
651    ## ambiguous dispatch for "ddi", since there's also Arith(ddense., ddense.)
652    diagOdiag <- function(e1,e2) {
653        ## result should also be diagonal _ if possible _
654        r <- callGeneric(.diag.x(e1), .diag.x(e2)) # error if not "compatible"
655        ## Check what happens with non-diagonals, i.e. (0 o 0), (FALSE o 0), ...:
656        r00 <- callGeneric(if(is.numeric(e1@x)) 0 else FALSE,
657                           if(is.numeric(e2@x)) 0 else FALSE)
658        if(is0(r00)) { ##  r00 == 0 or FALSE --- result *is* diagonal
659            if(is.numeric(r)) {
660                if(is.numeric(e2@x)) {
661                    e2@x <- r; return(.diag.2N(e2)) }
662                if(!is.numeric(e1@x))
663                    ## e.g. e1, e2 are logical;
664                    e1 <- as(e1, "dMatrix")
665            }
666            else if(is.logical(r))
667                e1 <- as(e1, "lMatrix")
668            else stop("intermediate 'r' is of type", typeof(r))
669            e1@x <- r
670            .diag.2N(e1)
671        }
672        else { ## result not diagonal, but at least symmetric:
673            isNum <- (is.numeric(r) || is.numeric(r00))
674            isLog <- (is.logical(r) || is.logical(r00))
675    
676            if(getOption("verbose"))
677                message("exploding  <diag>  o  <diag>  into dense matrix")
678            d <- e1@Dim
679            n <- d[1]
680            stopifnot(length(r) == n)
681            xx <- as.vector(matrix(rbind(r, matrix(r00,n,n)), n,n))
682            newcl <-
683                paste(if(isNum) "d" else if(isLog) {
684                    if(!any(is.na(r)) && !any(is.na(r00))) "n" else "l"
685                } else stop("not yet implemented .. please report")
686                      ,
687                      "syMatrix", sep='')
688    
689            new(newcl, Dim = e1@Dim, Dimnames = e1@Dimnames, x = xx)
690        }
691    }
692    
693    ### This would be *the* way, but we get tons of "ambiguous method dispatch"
694    ## we use this hack instead of signature  x = "diagonalMatrix" :
695    diCls <- names(getClass("diagonalMatrix")@subclasses)
696    if(FALSE) {
697    setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "diagonalMatrix"),
698              diagOdiag)
699    } else { ## These are just for method disambiguation:
700        for(c1 in diCls)
701            for(c2 in diCls)
702                setMethod("Ops", signature(e1 = c1, e2 = c2), diagOdiag)
703    }
704    
705    ## FIXME:    diagonal  o  triangular  |-->  triangular
706    ## -----     diagonal  o  symmetric   |-->  symmetric
707    ##    {also when other is sparse: do these "here" --
708    ##     before conversion to sparse, since that loses "diagonality"}
709    
710    ## For almost everything else, diag* shall be treated "as sparse" :
711    ## These are cheap implementations via coercion
712    
713    ## For disambiguation --- define this for "sparseMatrix" , then for "ANY";
714    ## and because we can save an .M.kind() call, we use this explicit
715    ## "hack" for all diagonalMatrix *subclasses* instead of just "diagonalMatrix" :
716    ##
717    ## ddi*:
718    setMethod("Ops", signature(e1 = "ddiMatrix", e2 = "sparseMatrix"),
719              function(e1,e2) callGeneric(diag2Tsmart(e1,e2, "d"), e2))
720    setMethod("Ops", signature(e1 = "sparseMatrix", e2 = "ddiMatrix"),
721              function(e1,e2) callGeneric(e1, diag2Tsmart(e2,e1, "d")))
722    ## ldi*
723    setMethod("Ops", signature(e1 = "ldiMatrix", e2 = "sparseMatrix"),
724              function(e1,e2) callGeneric(diag2Tsmart(e1,e2, "l"), e2))
725    setMethod("Ops", signature(e1 = "sparseMatrix", e2 = "ldiMatrix"),
726              function(e1,e2) callGeneric(e1, diag2Tsmart(e2,e1, "l")))
727    
728    ## Ops:  Arith  --> numeric : "dMatrix"
729    ##       Compare --> logical
730    ##       Logic   --> logical: "lMatrix"
731    
732    ##  other = "numeric" : stay diagonal if possible
733    ## ddi*: Arith: result numeric, potentially ddiMatrix
734    setMethod("Arith", signature(e1 = "ddiMatrix", e2 = "numeric"),
735              function(e1,e2) {
736                  n <- e1@Dim[1]; nsq <- n^2
737                  f0 <- callGeneric(0, e2)
738                  if(all(is0(f0))) { # remain diagonal
739                      L1 <- (le <- length(e2)) == 1L
740                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
741                      if(e1@diag == "U" && any((r <- callGeneric(1, e2)) != 1)) {
742                          e1@diag <- "N"
743                          if(L1) r <- rep.int(r, n)
744                      } else
745                          r <- callGeneric(e1@x, e2)
746                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
747                      return(e1)
748                  }
749                  callGeneric(diag2tT.u(e1,e2, "d"), e2)
750              })
751    
752    setMethod("Arith", signature(e1 = "numeric", e2 = "ddiMatrix"),
753              function(e1,e2) {
754                  n <- e2@Dim[1]; nsq <- n^2
755                  f0 <- callGeneric(e1, 0)
756                  if(all(is0(f0))) { # remain diagonal
757                      L1 <- (le <- length(e1)) == 1L
758                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
759                      if(e2@diag == "U" && any((r <- callGeneric(e1, 1)) != 1)) {
760                          e2@diag <- "N"
761                          if(L1) r <- rep.int(r, n)
762                      } else
763                          r <- callGeneric(e1, e2@x)
764                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
765                      return(e2)
766                  }
767                  callGeneric(e1, diag2tT.u(e2,e1, "d"))
768              })
769    
770    ## ldi* Arith --> result numeric, potentially ddiMatrix
771    setMethod("Arith", signature(e1 = "ldiMatrix", e2 = "numeric"),
772              function(e1,e2) {
773                  n <- e1@Dim[1]; nsq <- n^2
774                  f0 <- callGeneric(0, e2)
775                  if(all(is0(f0))) { # remain diagonal
776                      L1 <- (le <- length(e2)) == 1L
777                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
778                      if(e1@diag == "U" && any((r <- callGeneric(1, e2)) != 1)) {
779                          e1@diag <- "N"
780                          if(L1) r <- rep.int(r, n)
781                      } else
782                          r <- callGeneric(e1@x, e2)
783                      e1 <- copyClass(e1, "ddiMatrix", c("diag", "Dim", "Dimnames"))
784                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
785                      return(e1)
786                  }
787                  callGeneric(diag2tT.u(e1,e2, "d"), e2)
788              })
789    
790    setMethod("Arith", signature(e1 = "numeric", e2 = "ldiMatrix"),
791              function(e1,e2) {
792                  n <- e2@Dim[1]; nsq <- n^2
793                  f0 <- callGeneric(e1, 0)
794                  if(all(is0(f0))) { # remain diagonal
795                      L1 <- (le <- length(e1)) == 1L
796                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
797                      if(e2@diag == "U" && any((r <- callGeneric(e1, 1)) != 1)) {
798                          e2@diag <- "N"
799                          if(L1) r <- rep.int(r, n)
800                      } else
801                          r <- callGeneric(e1, e2@x)
802                      e2 <- copyClass(e2, "ddiMatrix", c("diag", "Dim", "Dimnames"))
803                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
804                      return(e2)
805                  }
806                  callGeneric(e1, diag2tT.u(e2,e1, "d"))
807              })
808    
809    ## ddi*: for "Ops" without Arith --> result logical, potentially ldi
810    setMethod("Ops", signature(e1 = "ddiMatrix", e2 = "numeric"),
811              function(e1,e2) {
812                  n <- e1@Dim[1]; nsq <- n^2
813                  f0 <- callGeneric(0, e2)
814                  if(all(is0(f0))) { # remain diagonal
815                      L1 <- (le <- length(e2)) == 1L
816                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
817                      if(e1@diag == "U" && any((r <- callGeneric(1, e2)) != 1)) {
818                          e1@diag <- "N"
819                          if(L1) r <- rep.int(r, n)
820                      } else
821                          r <- callGeneric(e1@x, e2)
822                      e1 <- copyClass(e1, "ldiMatrix", c("diag", "Dim", "Dimnames"))
823                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
824                      return(e1)
825                  }
826                  callGeneric(diag2tT.u(e1,e2, "l"), e2)
827              })
828    
829    setMethod("Ops", signature(e1 = "numeric", e2 = "ddiMatrix"),
830              function(e1,e2) {
831                  n <- e2@Dim[1]; nsq <- n^2
832                  f0 <- callGeneric(e1, 0)
833                  if(all(is0(f0))) { # remain diagonal
834                      L1 <- (le <- length(e1)) == 1L
835                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
836                      if(e2@diag == "U" && any((r <- callGeneric(e1, 1)) != 1)) {
837                          e2@diag <- "N"
838                          if(L1) r <- rep.int(r, n)
839                      } else
840                          r <- callGeneric(e1, e2@x)
841                      e2 <- copyClass(e2, "ldiMatrix", c("diag", "Dim", "Dimnames"))
842                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
843                      return(e2)
844                  }
845                  callGeneric(e1, diag2tT.u(e2,e1, "l"))
846              })
847    
848    ## ldi*: for "Ops" without Arith --> result logical, potentially ldi
849    setMethod("Ops", signature(e1 = "ldiMatrix", e2 = "numeric"),
850              function(e1,e2) {
851                  n <- e1@Dim[1]; nsq <- n^2
852                  f0 <- callGeneric(FALSE, e2)
853                  if(all(is0(f0))) { # remain diagonal
854                      L1 <- (le <- length(e2)) == 1L
855                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
856                      if(e1@diag == "U" && any((r <- callGeneric(TRUE, e2)) != 1)) {
857                          e1@diag <- "N"
858                          if(L1) r <- rep.int(r, n)
859                      } else
860                          r <- callGeneric(e1@x, e2)
861                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
862                      return(e1)
863                  }
864                  callGeneric(diag2tT.u(e1,e2, "l"), e2)
865              })
866    
867    setMethod("Ops", signature(e1 = "numeric", e2 = "ldiMatrix"),
868              function(e1,e2) {
869                  n <- e2@Dim[1]; nsq <- n^2
870                  f0 <- callGeneric(e1, FALSE)
871                  if(all(is0(f0))) { # remain diagonal
872                      L1 <- (le <- length(e1)) == 1L
873                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
874                      if(e2@diag == "U" && any((r <- callGeneric(e1, TRUE)) != 1)) {
875                          e2@diag <- "N"
876                          if(L1) r <- rep.int(r, n)
877                      } else
878                          r <- callGeneric(e1, e2@x)
879                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
880                      return(e2)
881                  }
882                  callGeneric(e1, diag2tT.u(e2,e1, "l"))
883              })
884    
885    
886    
887    ## Not {"sparseMatrix", "numeric} :  {"denseMatrix", "matrix", ... }
888    for(other in c("ANY", "Matrix", "dMatrix")) {
889        ## ddi*:
890        setMethod("Ops", signature(e1 = "ddiMatrix", e2 = other),
891                  function(e1,e2) callGeneric(diag2tT.u(e1,e2, "d"), e2))
892        setMethod("Ops", signature(e1 = other, e2 = "ddiMatrix"),
893                  function(e1,e2) callGeneric(e1, diag2tT.u(e2,e1, "d")))
894        ## ldi*:
895        setMethod("Ops", signature(e1 = "ldiMatrix", e2 = other),
896                  function(e1,e2) callGeneric(diag2tT.u(e1,e2, "l"), e2))
897        setMethod("Ops", signature(e1 = other, e2 = "ldiMatrix"),
898                  function(e1,e2) callGeneric(e1, diag2tT.u(e2,e1, "l")))
899    }
900    ## This should *not* dispatch to <dense> methods (in ./Ops.R ), as
901    ##  FALSE & <anything> |-> FALSE : hence result should be diagonal:
902    for(cl in diCls) {
903        setMethod("&", signature(e1 = cl, e2 = "ANY"),
904                  function(e1,e2) e1 & as(e2,"Matrix"))
905        setMethod("&", signature(e1 = "ANY", e2 = cl),
906                  function(e1,e2) as(e1,"Matrix") & e2)
907        for(c2 in c("denseMatrix", "Matrix")) {
908            setMethod("&", signature(e1 = cl, e2 = c2),
909                      function(e1,e2) e1 & Diagonal(x = diag(e2)))
910            setMethod("&", signature(e1 = c2, e2 = cl),
911                      function(e1,e2) Diagonal(x = diag(e1)) & e2)
912        }
913    }
914    
915    
916    ### "Summary" : "max"   "min"   "range" "prod"  "sum"   "any"   "all"
917    ### ----------  any, all: separately here
918    for(cl in diCls) {
919    setMethod("any", cl,
920              function (x, ..., na.rm) {
921                  if(any(x@Dim == 0)) FALSE
922                  else if(x@diag == "U") TRUE else any(x@x, ..., na.rm = na.rm)
923              })
924    setMethod("all",  cl, function (x, ..., na.rm) any(x@Dim == 0))
925    setMethod("prod", cl, function (x, ..., na.rm) as.numeric(any(x@Dim == 0)))
926    
927    setMethod("sum", cl,
928              function(x, ..., na.rm) {
929                  r <- sum(x@x, ..., na.rm = na.rm)# double or integer, correctly
930                  if(x@diag == "U" && !is.na(r)) r + x@Dim[1] else r
931              })
932    }
933    
934    ## The remaining ones are  max, min, range :
935    
936    setMethod("Summary", "ddiMatrix",
937              function(x, ..., na.rm) {
938                  if(any(x@Dim == 0)) callGeneric(numeric(0), ..., na.rm=na.rm)
939                  else if(x@diag == "U")
940                      callGeneric(x@x, 0, 1, ..., na.rm=na.rm)
941                  else callGeneric(x@x, 0, ..., na.rm=na.rm)
942              })
943    setMethod("Summary", "ldiMatrix",
944              function(x, ..., na.rm) {
945                  if(any(x@Dim == 0)) callGeneric(logical(0), ..., na.rm=na.rm)
946                  else if(x@diag == "U")
947                      callGeneric(x@x, FALSE, TRUE, ..., na.rm=na.rm)
948                  else callGeneric(x@x, FALSE, ..., na.rm=na.rm)
949              })
950    
951    
952    
# Line 346  Line 961 
961      invisible(x)      invisible(x)
962  }  }
963    
964    ## somewhat consistent with "print" for sparseMatrix :
965    setMethod("print", signature(x = "diagonalMatrix"), prDiag)
966    
967  setMethod("show", signature(object = "diagonalMatrix"),  setMethod("show", signature(object = "diagonalMatrix"),
968            function(object) {            function(object) {
969                d <- dim(object)                d <- dim(object)
970                cl <- class(object)                cl <- class(object)
971                cat(sprintf('%d x %d diagonal matrix of class "%s"\n',                cat(sprintf('%d x %d diagonal matrix of class "%s"',
972                            d[1], d[2], cl))                            d[1], d[2], cl))
973                  if(d[1] < 50) {
974                      cat("\n")
975                prDiag(object)                prDiag(object)
976                  } else {
977                      cat(", with diagonal entries\n")
978                      show(diag(object))
979                      invisible(object)
980                  }
981            })            })

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