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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 2052, Wed Aug 15 13:33:19 2007 UTC revision 2226, Mon Jul 21 17:15:17 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(0L, 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            r@uplo <- if(useU) "U" else "L"
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            if(use.n) { ## return nsparseMatrix :
134                r <- new("ntTMatrix")
135            } else {
136                r <- new("dtTMatrix")
137                r@x <- unlist(lapply(Tlst, slot, "x"))
138      }      }
139      ## slightly debatable if we really should return Csparse.. :          r@uplo <- ULs[1L]
140      as(ret, "CsparseMatrix")      }
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  diag2tT <- function(from) {  
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      i <- if(from@diag == "U") integer(0) else seq_len(from@Dim[1]) - 1L
173      new(paste(.M.kind(from), "tTMatrix", sep=''),      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  diag2sT <- function(from) { # to symmetric Tsparse  .diag2sT <- function(from, uplo = "U", kind = .M.kind(from)) {
181      i <- if(from@diag == "U") integer(0) else seq_len(from@Dim[1]) - 1L      ## to symmetric Tsparse
182      new(paste(.M.kind(from), "sTMatrix", sep=''),      n <- from@Dim[1]
183        i <- seq_len(n) - 1L
184        new(paste(kind, "sTMatrix", sep=''),
185          Dim = from@Dim, Dimnames = from@Dimnames,          Dim = from@Dim, Dimnames = from@Dimnames,
186          x = from@x, i = i, j = i)          i = i, j = i, uplo = uplo,
187            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", "triangularMatrix", diag2tT)  
210  setAs("diagonalMatrix", "sparseMatrix", diag2tT)  ## 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):  ## needed too (otherwise <dense> -> Tsparse is taken):
230  setAs("diagonalMatrix", "TsparseMatrix", diag2tT)  setAs("ldiMatrix", "TsparseMatrix", diag2tT)
231  ## is better than this:  setAs("ldiMatrix", "CsparseMatrix",
232  ## setAs("diagonalMatrix", "sparseMatrix",        function(from) as(.diag2tT(from, "U", "l"), "CsparseMatrix"))
233  ##       function(from)  setAs("ldiMatrix", "symmetricMatrix",
234  ##        as(from, if(is(from, "dMatrix")) "dgCMatrix" else "lgCMatrix"))        function(from) .diag2sT(from, "U", "l"))
 setAs("diagonalMatrix", "CsparseMatrix",  
       function(from) as(diag2tT(from), "CsparseMatrix"))  
235    
 setAs("diagonalMatrix", "symmetricMatrix", diag2sT)  
236    
237  setAs("diagonalMatrix", "matrix",  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    
 setAs("diagonalMatrix", "generalMatrix", # prefer sparse:  
       function(from) as(from, paste(.M.kind(from), "gCMatrix", sep='')))  
   
 .diag.x <- function(m) {  
     if(m@diag == "U")  
         rep.int(if(is.numeric(m@x)) 1. else TRUE,  
                 m@Dim[1])  
     else m@x  
 }  
245    
246  .diag.2N <- function(m) {  ## Cheap fast substitute for diag() which *does* preserve the mode of x :
247      if(m@diag == "U") m@diag <- "N"  mkDiag <- function(x, n) {
248      m      y <- matrix(as0(mod=mode(x)), n,n)
249        if (n > 0) y[1L + 0:(n - 1L) * (n + 1L)] <- x
250        y
251  }  }
252    
253  ## given the above, the following  4  coercions should be all unneeded;  setAs("diagonalMatrix", "matrix",
 ## we prefer triangular to general:  
 setAs("ddiMatrix", "dgTMatrix",  
254        function(from) {        function(from) {
255            .Deprecated("as(, \"sparseMatrix\")")            ## want "ldiMatrix" -> <logical> "matrix" :
256            n <- from@Dim[1]            mkDiag(if(from@diag == "U") as1(from@x) else from@x,
257            i <- seq_len(n) - 1L                   n = from@Dim[1])
258            new("dgTMatrix", i = i, j = i, x = .diag.x(from),        })
               Dim = c(n,n), Dimnames = from@Dimnames) })  
259    
260  setAs("ddiMatrix", "dgCMatrix",  setMethod("as.vector", signature(x = "diagonalMatrix", mode="missing"),
261        function(from) as(as(from, "sparseMatrix"), "dgCMatrix"))            function(x, mode) {
262                  n <- x@Dim[1]
263                  mod.x <- mode(x@x)
264                  r <- vector(mod.x, length = n^2)
265                  if(n)
266                      r[1 + 0:(n - 1) * (n + 1)] <-
267                          if(x@diag == "U") as1(mod=mod.x) else x@x
268                  r
269              })
270    
271  setAs("ldiMatrix", "lgTMatrix",  setAs("diagonalMatrix", "generalMatrix", # prefer sparse:
272        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) - 1L  
           } else { # "normal"  
               nz <- nz.NA(from@x, na. = TRUE)  
               x <- from@x[nz]  
               i <- which(nz) - 1L  
           }  
           new("lgTMatrix", i = i, j = i, x = x,  
               Dim = c(n,n), Dimnames = from@Dimnames) })  
273    
274  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"))  
275    
276    .diag.2N <- function(m) {
277        if(m@diag == "U") m@diag <- "N"
278        m
279    }
280    
 if(FALSE) # now have faster  "ddense" -> "dge"  
281  setAs("ddiMatrix", "dgeMatrix",  setAs("ddiMatrix", "dgeMatrix",
282        function(from) as(as(from, "matrix"), "dgeMatrix"))        function(from) .Call(dup_mMatrix_as_dgeMatrix, from))
283    setAs("ddiMatrix", "ddenseMatrix",
284          function(from) as(as(from, "triangularMatrix"),"denseMatrix"))
285    setAs("ldiMatrix", "ldenseMatrix",
286          function(from) as(as(from, "triangularMatrix"),"denseMatrix"))
287    
288    
289  setAs("matrix", "diagonalMatrix",  setAs("matrix", "diagonalMatrix",
290        function(from) {        function(from) {
# Line 188  Line 329 
329  setMethod("diag", signature(x = "diagonalMatrix"),  setMethod("diag", signature(x = "diagonalMatrix"),
330            function(x = 1, nrow, ncol) .diag.x(x))            function(x = 1, nrow, ncol) .diag.x(x))
331    
332    subDiag <- function(x, i, j, ..., drop) {
 subDiag <- function(x, i, j, drop) {  
333      x <- as(x, "sparseMatrix")      x <- as(x, "sparseMatrix")
334      x <- if(missing(i))      x <- if(missing(i))
335          x[, j, drop=drop]          x[, j, drop=drop]
# Line 197  Line 337 
337          x[i, , drop=drop]          x[i, , drop=drop]
338      else      else
339          x[i,j, drop=drop]          x[i,j, drop=drop]
340      if(isDiagonal(x)) as(x, "diagonalMatrix") else x      if(isS4(x) && isDiagonal(x)) as(x, "diagonalMatrix") else x
341  }  }
342    
343  setMethod("[", signature(x = "diagonalMatrix", i = "index",  setMethod("[", signature(x = "diagonalMatrix", i = "index",
344                           j = "index", drop = "logical"), subDiag)                           j = "index", drop = "logical"), subDiag)
345  setMethod("[", signature(x = "diagonalMatrix", i = "index",  setMethod("[", signature(x = "diagonalMatrix", i = "index",
346                          j = "missing", drop = "logical"),                          j = "missing", drop = "logical"),
347            function(x, i, drop) subDiag(x, i=i, drop=drop))            function(x, i, j, ..., drop) subDiag(x, i=i, drop=drop))
348  setMethod("[", signature(x = "diagonalMatrix", i = "missing",  setMethod("[", signature(x = "diagonalMatrix", i = "missing",
349                           j = "index", drop = "logical"),                           j = "index", drop = "logical"),
350            function(x, j, drop) subDiag(x, j=j, drop=drop))            function(x, i, j, ..., drop) subDiag(x, j=j, drop=drop))
351    
352  ## When you assign to a diagonalMatrix, the result should be  ## When you assign to a diagonalMatrix, the result should be
353  ## diagonal or sparse ---  ## diagonal or sparse ---
354  ## FIXME: this now fails because the "denseMatrix" methods come first in dispatch  ## FIXME: this now fails because the "denseMatrix" methods come first in dispatch
355  replDiag <- function(x, i, j, value) {  ## Only(?) current bug:  x[i] <- value  is wrong when  i is *vector*
356    replDiag <- function(x, i, j, ..., value) {
357      x <- as(x, "sparseMatrix")      x <- as(x, "sparseMatrix")
358      if(missing(i))      if(missing(i))
359          x[, j] <- value          x[, j] <- value
360      else if(missing(j))      else if(missing(j)) { ##  x[i , ] <- v  *OR*   x[i] <- v
361            na <- nargs()
362    ##         message("diagnosing replDiag() -- nargs()= ", na)
363            if(na == 4)
364          x[i, ] <- value          x[i, ] <- value
365      else          else if(na == 3)
366                x[i] <- value
367            else stop("Internal bug: nargs()=",na,"; please report")
368        } else
369          x[i,j] <- value          x[i,j] <- value
370      if(isDiagonal(x)) as(x, "diagonalMatrix") else x      if(isDiagonal(x)) as(x, "diagonalMatrix") else x
371  }  }
372    
373  setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index",  setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index",
374                                  j = "index", value = "replValue"), replDiag)                                  j = "index", value = "replValue"), replDiag)
375    
376  setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index",  setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index",
377                                  j = "missing", value = "replValue"),                                  j = "missing", value = "replValue"),
378                   function(x, i, value) replDiag(x, i=i, value=value))                   function(x,i,j, ..., value) {
379                         ## message("before replDiag() -- nargs()= ", nargs())
380                         if(nargs() == 3)
381                             replDiag(x, i=i, value=value)
382                         else ## nargs() == 4 :
383                             replDiag(x, i=i, , value=value)
384                     })
385    
386    setReplaceMethod("[", signature(x = "diagonalMatrix",
387                                    i = "matrix", # 2-col.matrix
388                                    j = "missing", value = "replValue"),
389                     function(x,i,j, ..., value) {
390                         if(ncol(i) == 2) {
391                             if(all((ii <- i[,1]) == i[,2])) { # replace in diagonal only
392                                 if(x@diag == "U") {
393                                     one <- as1(x@x)
394                                     if(any(value != one | is.na(value))) {
395                                         x@diag <- "N"
396                                         x@x <- rep.int(one, x@Dim[1])
397                                     }
398                                 }
399                                 x@x[ii] <- value
400                                 x
401                             } else { ## no longer diagonal, but remain sparse:
402                                 x <- as(x, "sparseMatrix")
403                                 x[i] <- value
404                                 x
405                             }
406                         }
407                         else { # behave as "base R": use as if vector
408                             x <- as(x, "matrix")
409                             x[i] <- value
410                             Matrix(x)
411                         }
412                     })
413    
414  setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing",  setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing",
415                                  j = "index", value = "replValue"),                                  j = "index", value = "replValue"),
416                   function(x, j, value) replDiag(x, j=j, value=value))                   function(x,i,j, ..., value) replDiag(x, j=j, value=value))
417    
418    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing", j = "index",
419                                    value = "scarceMatrix"),
420                     function (x, i, j, ..., value)
421                     callGeneric(x=x, , j=j, value = as(value, "sparseVector")))
422    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "missing",
423                                    value = "scarceMatrix"),
424                     function (x, i, j, ..., value)
425                     callGeneric(x=x, i=i, , value = as(value, "sparseVector")))
426    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "index",
427                                    value = "scarceMatrix"),
428                     function (x, i, j, ..., value)
429                     callGeneric(x=x, i=i, j=j, value = as(value, "sparseVector")))
430    
431    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "missing", j = "index",
432                                    value = "sparseVector"),
433                     replDiag)
434    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "missing",
435                                    value = "sparseVector"),
436                     replDiag)
437    setReplaceMethod("[", signature(x = "diagonalMatrix", i = "index", j = "index",
438                                    value = "sparseVector"),
439                     replDiag)
440    
441    
442  setMethod("t", signature(x = "diagonalMatrix"),  setMethod("t", signature(x = "diagonalMatrix"),
# Line 241  Line 447 
447  setMethod("isTriangular", signature(object = "diagonalMatrix"),  setMethod("isTriangular", signature(object = "diagonalMatrix"),
448            function(object) TRUE)            function(object) TRUE)
449  setMethod("isSymmetric", signature(object = "diagonalMatrix"),  setMethod("isSymmetric", signature(object = "diagonalMatrix"),
450            function(object) TRUE)            function(object, ...) TRUE)
451    
452  setMethod("chol", signature(x = "ddiMatrix"),# pivot = "ANY"  setMethod("symmpart", signature(x = "diagonalMatrix"), function(x) x)
453            function(x, pivot) {  setMethod("skewpart", signature(x = "diagonalMatrix"), setZero)
454                if(any(x@x < 0)) stop("chol() is undefined for diagonal matrix with negative entries")  
455    setMethod("chol", signature(x = "ddiMatrix"),
456              function(x, pivot, ...) {
457                  if(x@diag == "U") return(x)
458                  ## else
459                  if(any(x@x < 0))
460                      stop("chol() is undefined for diagonal matrix with negative entries")
461                x@x <- sqrt(x@x)                x@x <- sqrt(x@x)
462                x                x
463            })            })
464  ## chol(L) is L for logical diagonal:  ## chol(L) is L for logical diagonal:
465  setMethod("chol", signature(x = "ldiMatrix"), function(x, pivot) x)  setMethod("chol", signature(x = "ldiMatrix"), function(x, pivot, ...) x)
466    
467    setMethod("determinant", signature(x = "diagonalMatrix", logarithm = "logical"),
468              function(x, logarithm, ...) mkDet(.diag.x(x), logarithm))
469    
470    setMethod("norm", signature(x = "diagonalMatrix", type = "character"),
471              function(x, type, ...) {
472                  if((n <- x@Dim[1]) == 0) return(0) # as for "sparseMatrix"
473                  type <- toupper(substr(type[1], 1, 1))
474                  isU <- (x@diag == "U") # unit-diagonal
475                  if(type == "F") sqrt(if(isU) n else sum(x@x^2))
476                  else { ## norm == "I","1","O","M" :
477                      if(isU) 1 else max(abs(x@x))
478                  }
479              })
480    
481    
482    
483  ## Basic Matrix Multiplication {many more to add}  ## Basic Matrix Multiplication {many more to add}
484  ##       ---------------------  ##       ---------------------
485  ## Note that "ldi" logical are treated as numeric  ## Note that "ldi" logical are treated as numeric
486  diagdiagprod <- function(x, y) {  diagdiagprod <- function(x, y) {
487      if(any(dim(x) != dim(y))) stop("non-matching dimensions")      n <- dimCheck(x,y)[1]
488      if(x@diag != "U") {      if(x@diag != "U") {
489          if(y@diag != "U") {          if(y@diag != "U") {
490              nx <- x@x * y@x              nx <- x@x * y@x
# Line 284  Line 512 
512    
513    
514  diagmatprod <- function(x, y) {  diagmatprod <- function(x, y) {
515        ## x is diagonalMatrix
516      dx <- dim(x)      dx <- dim(x)
517      dy <- dim(y)      dy <- dim(y)
518      if(dx[2] != dy[1]) stop("non-matching dimensions")      if(dx[2] != dy[1]) stop("non-matching dimensions")
519      n <- dx[1]      n <- dx[1]
520      as(if(x@diag == "U") y else x@x * y, "Matrix")      as(if(x@diag == "U") y else x@x * y, "Matrix")
521  }  }
   
522  setMethod("%*%", signature(x = "diagonalMatrix", y = "matrix"),  setMethod("%*%", signature(x = "diagonalMatrix", y = "matrix"),
523            diagmatprod)            diagmatprod)
524    ## sneaky .. :
525  formals(diagmatprod) <- alist(x=, y=NULL)  formals(diagmatprod) <- alist(x=, y=NULL)
526  setMethod("crossprod", signature(x = "diagonalMatrix", y = "matrix"),  setMethod("crossprod", signature(x = "diagonalMatrix", y = "matrix"),
527            diagmatprod)            diagmatprod)
 setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "matrix"),  
           diagmatprod)  
528    
529  diagdgeprod <- function(x, y) {  diagGeprod <- function(x, y) {
530      dx <- dim(x)      dx <- dim(x)
531      dy <- dim(y)      dy <- dim(y)
532      if(dx[2] != dy[1]) stop("non-matching dimensions")      if(dx[2] != dy[1]) stop("non-matching dimensions")
# Line 307  Line 534 
534          y@x <- x@x * y@x          y@x <- x@x * y@x
535      y      y
536  }  }
537  setMethod("%*%", signature(x = "diagonalMatrix", y = "dgeMatrix"),  setMethod("%*%", signature(x= "diagonalMatrix", y= "dgeMatrix"), diagGeprod)
538            diagdgeprod, valueClass = "dgeMatrix")  setMethod("%*%", signature(x= "diagonalMatrix", y= "lgeMatrix"), diagGeprod)
539  formals(diagdgeprod) <- alist(x=, y=NULL)  formals(diagGeprod) <- alist(x=, y=NULL)
540  setMethod("crossprod", signature(x = "diagonalMatrix", y = "dgeMatrix"),  setMethod("crossprod", signature(x = "diagonalMatrix", y = "dgeMatrix"),
541            diagdgeprod, valueClass = "dgeMatrix")            diagGeprod, valueClass = "dgeMatrix")
542    setMethod("crossprod", signature(x = "diagonalMatrix", y = "lgeMatrix"),
543              diagGeprod)
544    
545  setMethod("%*%", signature(x = "matrix", y = "diagonalMatrix"),  matdiagprod <- function(x, y) {
           function(x, y) {  
546                dx <- dim(x)                dx <- dim(x)
547                dy <- dim(y)                dy <- dim(y)
548                if(dx[2] != dy[1]) stop("non-matching dimensions")                if(dx[2] != dy[1]) stop("non-matching dimensions")
549                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]))
550            })  }
551    setMethod("%*%", signature(x = "matrix", y = "diagonalMatrix"),
552              matdiagprod)
553    formals(matdiagprod) <- alist(x=, y=NULL)
554    setMethod("tcrossprod", signature(x = "matrix", y = "diagonalMatrix"),
555              matdiagprod)
556    
557  setMethod("%*%", signature(x = "dgeMatrix", y = "diagonalMatrix"),  gediagprod <- function(x, y) {
           function(x, y) {  
558                dx <- dim(x)                dx <- dim(x)
559                dy <- dim(y)                dy <- dim(y)
560                if(dx[2] != dy[1]) stop("non-matching dimensions")                if(dx[2] != dy[1]) stop("non-matching dimensions")
561                if(y@diag == "N")                if(y@diag == "N")
562                    x@x <- x@x * rep(y@x, each = dx[1])                    x@x <- x@x * rep(y@x, each = dx[1])
563                x                x
564            })  }
565    setMethod("%*%", signature(x= "dgeMatrix", y= "diagonalMatrix"), gediagprod)
566    setMethod("%*%", signature(x= "lgeMatrix", y= "diagonalMatrix"), gediagprod)
567    formals(gediagprod) <- alist(x=, y=NULL)
568    setMethod("tcrossprod", signature(x = "dgeMatrix", y = "diagonalMatrix"),
569              gediagprod)
570    setMethod("tcrossprod", signature(x = "lgeMatrix", y = "diagonalMatrix"),
571              gediagprod)
572    
573  ## crossprod {more of these}  ## crossprod {more of these}
574    
575  ## tcrossprod --- all are not yet there: do the dense ones here:  ## tcrossprod --- all are not yet there: do the dense ones here:
576    
577    setMethod("%*%", signature(x = "diagonalMatrix", y = "denseMatrix"),
578              function(x, y) if(x@diag == "U") y else x %*% as(y, "generalMatrix"))
579    setMethod("%*%", signature(x = "denseMatrix", y = "diagonalMatrix"),
580              function(x, y) if(y@diag == "U") x else as(x, "generalMatrix") %*% y)
581    
582    
583  ## FIXME:  ## FIXME:
584  ## setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "denseMatrix"),  ## setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "denseMatrix"),
585  ##        function(x, y = NULL) {  ##        function(x, y = NULL) {
# Line 345  Line 590 
590  ##           })  ##           })
591    
592  setMethod("crossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),  setMethod("crossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),
593            function(x, y = NULL) { x <- as(x, "sparseMatrix"); callGeneric() })            function(x, y = NULL) crossprod(as(x, "sparseMatrix"), y))
594    
595  setMethod("crossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),  setMethod("crossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),
596            function(x, y = NULL) { y <- as(y, "sparseMatrix"); callGeneric() })            function(x, y = NULL) crossprod(x, as(y, "sparseMatrix")))
597    
598  setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),  setMethod("tcrossprod", signature(x = "diagonalMatrix", y = "sparseMatrix"),
599            function(x, y = NULL) { x <- as(x, "sparseMatrix"); callGeneric() })            function(x, y = NULL) tcrossprod(as(x, "sparseMatrix"), y))
600    
601  setMethod("tcrossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),  setMethod("tcrossprod", signature(x = "sparseMatrix", y = "diagonalMatrix"),
602            function(x, y = NULL) { y <- as(y, "sparseMatrix"); callGeneric() })            function(x, y = NULL) tcrossprod(x, as(y, "sparseMatrix")))
603    
604    
605  ## FIXME?: In theory, this can be done *FASTER*, in some cases, via tapply1()  ## FIXME?: In theory, this can be done *FASTER*, in some cases, via tapply1()
606  setMethod("%*%", signature(x = "diagonalMatrix", y = "sparseMatrix"),  setMethod("%*%", signature(x = "diagonalMatrix", y = "sparseMatrix"),
607            function(x, y) as(x, "sparseMatrix") %*% y)            function(x, y) as(x, "sparseMatrix") %*% y)
608    setMethod("%*%", signature(x = "sparseMatrix", y = "diagonalMatrix"),
609              function(x, y) x %*% as(y, "sparseMatrix"))
610  ## NB: The previous is *not* triggering for  "ddi" o "dgC" (= distance 3)  ## NB: The previous is *not* triggering for  "ddi" o "dgC" (= distance 3)
611  ##     since there's a "ddense" o "Csparse" at dist. 2 => triggers first.  ##     since there's a "ddense" o "Csparse" at dist. 2 => triggers first.
612  ## ==> do this:  ## ==> do this:
# Line 371  Line 618 
618  ## TODO: Write tests in ./tests/ which ensure that many "ops" with diagonal*  ## TODO: Write tests in ./tests/ which ensure that many "ops" with diagonal*
619  ##       do indeed work by going through sparse (and *not* ddense)!  ##       do indeed work by going through sparse (and *not* ddense)!
620    
 setMethod("%*%", signature(x = "sparseMatrix", y = "diagonalMatrix"),  
           function(x, y) x %*% as(y, "sparseMatrix"))  
621    
622    
623  setMethod("solve", signature(a = "diagonalMatrix", b = "missing"),  setMethod("solve", signature(a = "diagonalMatrix", b = "missing"),
# Line 395  Line 640 
640  setMethod("solve", signature(a = "diagonalMatrix", b = "Matrix"),  setMethod("solve", signature(a = "diagonalMatrix", b = "Matrix"),
641            solveDiag)            solveDiag)
642    
643    ## Schur()  ---> ./eigen.R
644    
645    
646    
647  ### ---------------- diagonal  o  sparse  -----------------------------  ###---------------- <Ops> (<Arith>, <Logic>, <Compare> ) ----------------------
   
648    
649  ## Use function for several signatures, in order to evade  ## Use function for several signatures, in order to evade
650  ## ambiguous dispatch for "ddi", since there's also Arith(ddense., ddense.)  ## ambiguous dispatch for "ddi", since there's also Arith(ddense., ddense.)
651  diagOdiag <- function(e1,e2) { # result should also be diagonal  diagOdiag <- function(e1,e2) {
652        ## result should also be diagonal _ if possible _
653      r <- callGeneric(.diag.x(e1), .diag.x(e2)) # error if not "compatible"      r <- callGeneric(.diag.x(e1), .diag.x(e2)) # error if not "compatible"
654        ## Check what happens with non-diagonals, i.e. (0 o 0), (FALSE o 0), ...:
655        r00 <- callGeneric(if(is.numeric(e1@x)) 0 else FALSE,
656                           if(is.numeric(e2@x)) 0 else FALSE)
657        if(is0(r00)) { ##  r00 == 0 or FALSE --- result *is* diagonal
658      if(is.numeric(r)) {      if(is.numeric(r)) {
659          if(is.numeric(e2@x)) {          if(is.numeric(e2@x)) {
660              e2@x <- r; return(.diag.2N(e2)) }              e2@x <- r; return(.diag.2N(e2)) }
# Line 418  Line 668 
668      e1@x <- r      e1@x <- r
669      .diag.2N(e1)      .diag.2N(e1)
670  }  }
671        else { ## result not diagonal, but at least symmetric:
672            isNum <- (is.numeric(r) || is.numeric(r00))
673            isLog <- (is.logical(r) || is.logical(r00))
674    
675            if(getOption("verbose"))
676                message("exploding  <diag>  o  <diag>  into dense matrix")
677            d <- e1@Dim
678            n <- d[1]
679            stopifnot(length(r) == n)
680            xx <- as.vector(matrix(rbind(r, matrix(r00,n,n)), n,n))
681            newcl <-
682                paste(if(isNum) "d" else if(isLog) {
683                    if(!any(is.na(r)) && !any(is.na(r00))) "n" else "l"
684                } else stop("not yet implemented .. please report")
685                      ,
686                      "syMatrix", sep='')
687    
688            new(newcl, Dim = e1@Dim, Dimnames = e1@Dimnames, x = xx)
689        }
690    }
691    
692    ### This would be *the* way, but we get tons of "ambiguous method dispatch"
693    ## we use this hack instead of signature  x = "diagonalMatrix" :
694    diCls <- names(getClass("diagonalMatrix")@subclasses)
695    if(FALSE) {
696  setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "diagonalMatrix"),  setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "diagonalMatrix"),
697            diagOdiag)            diagOdiag)
698  ## These two are just for method disambiguation:  } else { ## These are just for method disambiguation:
699  setMethod("Ops", signature(e1 = "ddiMatrix", e2 = "diagonalMatrix"),      for(c1 in diCls)
700            diagOdiag)          for(c2 in diCls)
701  setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "ddiMatrix"),              setMethod("Ops", signature(e1 = c1, e2 = c2), diagOdiag)
702            diagOdiag)  }
703    
704  ## FIXME:    diagonal  o  triangular  |-->  triangular  ## FIXME:    diagonal  o  triangular  |-->  triangular
705  ## -----     diagonal  o  symmetric   |-->  symmetric  ## -----     diagonal  o  symmetric   |-->  symmetric
# Line 435  Line 709 
709  ## For almost everything else, diag* shall be treated "as sparse" :  ## For almost everything else, diag* shall be treated "as sparse" :
710  ## These are cheap implementations via coercion  ## These are cheap implementations via coercion
711    
712  ## for disambiguation  ## For disambiguation --- define this for "sparseMatrix" , then for "ANY";
713  setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "sparseMatrix"),  ## and because we can save an .M.kind() call, we use this explicit
714            function(e1,e2) callGeneric(as(e1, "sparseMatrix"), e2))  ## "hack" for all diagonalMatrix *subclasses* instead of just "diagonalMatrix" :
715  setMethod("Ops", signature(e1 = "sparseMatrix", e2 = "diagonalMatrix"),  ##
716            function(e1,e2) callGeneric(e1, as(e2, "sparseMatrix")))  ## ddi*:
717  ## in general:  setMethod("Ops", signature(e1 = "ddiMatrix", e2 = "sparseMatrix"),
718  setMethod("Ops", signature(e1 = "diagonalMatrix", e2 = "ANY"),            function(e1,e2) callGeneric(diag2Tsmart(e1,e2, "d"), e2))
719            function(e1,e2) callGeneric(as(e1,"sparseMatrix"), e2))  setMethod("Ops", signature(e1 = "sparseMatrix", e2 = "ddiMatrix"),
720  setMethod("Ops", signature(e1 = "ANY", e2 = "diagonalMatrix"),            function(e1,e2) callGeneric(e1, diag2Tsmart(e2,e1, "d")))
721            function(e1,e2) callGeneric(e1, as(e2,"sparseMatrix")))  ## ldi*
722    setMethod("Ops", signature(e1 = "ldiMatrix", e2 = "sparseMatrix"),
723              function(e1,e2) callGeneric(diag2Tsmart(e1,e2, "l"), e2))
724    setMethod("Ops", signature(e1 = "sparseMatrix", e2 = "ldiMatrix"),
725              function(e1,e2) callGeneric(e1, diag2Tsmart(e2,e1, "l")))
726    
727    ## Ops:  Arith  --> numeric : "dMatrix"
728    ##       Compare --> logical
729    ##       Logic   --> logical: "lMatrix"
730    
731    ##  other = "numeric" : stay diagonal if possible
732    ## ddi*: Arith: result numeric, potentially ddiMatrix
733    setMethod("Arith", signature(e1 = "ddiMatrix", e2 = "numeric"),
734              function(e1,e2) {
735                  n <- e1@Dim[1]; nsq <- n^2
736                  f0 <- callGeneric(0, e2)
737                  if(all(is0(f0))) { # remain diagonal
738                      L1 <- (le <- length(e2)) == 1L
739                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
740                      if(e1@diag == "U" && any((r <- callGeneric(1, e2)) != 1)) {
741                          e1@diag <- "N"
742                          if(L1) r <- rep.int(r, n)
743                      } else
744                          r <- callGeneric(e1@x, e2)
745                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
746                      return(e1)
747                  }
748                  callGeneric(diag2tT.u(e1,e2, "d"), e2)
749              })
750    
751    setMethod("Arith", signature(e1 = "numeric", e2 = "ddiMatrix"),
752              function(e1,e2) {
753                  n <- e2@Dim[1]; nsq <- n^2
754                  f0 <- callGeneric(e1, 0)
755                  if(all(is0(f0))) { # remain diagonal
756                      L1 <- (le <- length(e1)) == 1L
757                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
758                      if(e2@diag == "U" && any((r <- callGeneric(e1, 1)) != 1)) {
759                          e2@diag <- "N"
760                          if(L1) r <- rep.int(r, n)
761                      } else
762                          r <- callGeneric(e1, e2@x)
763                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
764                      return(e2)
765                  }
766                  callGeneric(e1, diag2tT.u(e2,e1, "d"))
767              })
768    
769    ## ldi* Arith --> result numeric, potentially ddiMatrix
770    setMethod("Arith", signature(e1 = "ldiMatrix", e2 = "numeric"),
771              function(e1,e2) {
772                  n <- e1@Dim[1]; nsq <- n^2
773                  f0 <- callGeneric(0, e2)
774                  if(all(is0(f0))) { # remain diagonal
775                      L1 <- (le <- length(e2)) == 1L
776                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
777                      if(e1@diag == "U" && any((r <- callGeneric(1, e2)) != 1)) {
778                          e1@diag <- "N"
779                          if(L1) r <- rep.int(r, n)
780                      } else
781                          r <- callGeneric(e1@x, e2)
782                      e1 <- copyClass(e1, "ddiMatrix", c("diag", "Dim", "Dimnames"))
783                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
784                      return(e1)
785                  }
786                  callGeneric(diag2tT.u(e1,e2, "d"), e2)
787              })
788    
789    setMethod("Arith", signature(e1 = "numeric", e2 = "ldiMatrix"),
790              function(e1,e2) {
791                  n <- e2@Dim[1]; nsq <- n^2
792                  f0 <- callGeneric(e1, 0)
793                  if(all(is0(f0))) { # remain diagonal
794                      L1 <- (le <- length(e1)) == 1L
795                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
796                      if(e2@diag == "U" && any((r <- callGeneric(e1, 1)) != 1)) {
797                          e2@diag <- "N"
798                          if(L1) r <- rep.int(r, n)
799                      } else
800                          r <- callGeneric(e1, e2@x)
801                      e2 <- copyClass(e2, "ddiMatrix", c("diag", "Dim", "Dimnames"))
802                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
803                      return(e2)
804                  }
805                  callGeneric(e1, diag2tT.u(e2,e1, "d"))
806              })
807    
808    ## ddi*: for "Ops" without Arith --> result logical, potentially ldi
809    setMethod("Ops", signature(e1 = "ddiMatrix", e2 = "numeric"),
810              function(e1,e2) {
811                  n <- e1@Dim[1]; nsq <- n^2
812                  f0 <- callGeneric(0, e2)
813                  if(all(is0(f0))) { # remain diagonal
814                      L1 <- (le <- length(e2)) == 1L
815                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
816                      if(e1@diag == "U" && any((r <- callGeneric(1, e2)) != 1)) {
817                          e1@diag <- "N"
818                          if(L1) r <- rep.int(r, n)
819                      } else
820                          r <- callGeneric(e1@x, e2)
821                      e1 <- copyClass(e1, "ldiMatrix", c("diag", "Dim", "Dimnames"))
822                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
823                      return(e1)
824                  }
825                  callGeneric(diag2tT.u(e1,e2, "l"), e2)
826              })
827    
828    setMethod("Ops", signature(e1 = "numeric", e2 = "ddiMatrix"),
829              function(e1,e2) {
830                  n <- e2@Dim[1]; nsq <- n^2
831                  f0 <- callGeneric(e1, 0)
832                  if(all(is0(f0))) { # remain diagonal
833                      L1 <- (le <- length(e1)) == 1L
834                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
835                      if(e2@diag == "U" && any((r <- callGeneric(e1, 1)) != 1)) {
836                          e2@diag <- "N"
837                          if(L1) r <- rep.int(r, n)
838                      } else
839                          r <- callGeneric(e1, e2@x)
840                      e2 <- copyClass(e2, "ldiMatrix", c("diag", "Dim", "Dimnames"))
841                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
842                      return(e2)
843                  }
844                  callGeneric(e1, diag2tT.u(e2,e1, "l"))
845              })
846    
847    ## ldi*: for "Ops" without Arith --> result logical, potentially ldi
848    setMethod("Ops", signature(e1 = "ldiMatrix", e2 = "numeric"),
849              function(e1,e2) {
850                  n <- e1@Dim[1]; nsq <- n^2
851                  f0 <- callGeneric(FALSE, e2)
852                  if(all(is0(f0))) { # remain diagonal
853                      L1 <- (le <- length(e2)) == 1L
854                      if(!L1 && le != nsq) e2 <- rep(e2, length.out = nsq)
855                      if(e1@diag == "U" && any((r <- callGeneric(TRUE, e2)) != 1)) {
856                          e1@diag <- "N"
857                          if(L1) r <- rep.int(r, n)
858                      } else
859                          r <- callGeneric(e1@x, e2)
860                      e1@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
861                      return(e1)
862                  }
863                  callGeneric(diag2tT.u(e1,e2, "l"), e2)
864              })
865    
866    setMethod("Ops", signature(e1 = "numeric", e2 = "ldiMatrix"),
867              function(e1,e2) {
868                  n <- e2@Dim[1]; nsq <- n^2
869                  f0 <- callGeneric(e1, FALSE)
870                  if(all(is0(f0))) { # remain diagonal
871                      L1 <- (le <- length(e1)) == 1L
872                      if(!L1 && le != nsq) e1 <- rep(e1, length.out = nsq)
873                      if(e2@diag == "U" && any((r <- callGeneric(e1, TRUE)) != 1)) {
874                          e2@diag <- "N"
875                          if(L1) r <- rep.int(r, n)
876                      } else
877                          r <- callGeneric(e1, e2@x)
878                      e2@x <- if(L1) r else r[1L + (n+1L)*(0:(n-1L))]
879                      return(e2)
880                  }
881                  callGeneric(e1, diag2tT.u(e2,e1, "l"))
882              })
883    
884    
885    
886    ## Not {"sparseMatrix", "numeric} :  {"denseMatrix", "matrix", ... }
887    for(other in c("ANY", "Matrix", "dMatrix")) {
888        ## ddi*:
889        setMethod("Ops", signature(e1 = "ddiMatrix", e2 = other),
890                  function(e1,e2) callGeneric(diag2tT.u(e1,e2, "d"), e2))
891        setMethod("Ops", signature(e1 = other, e2 = "ddiMatrix"),
892                  function(e1,e2) callGeneric(e1, diag2tT.u(e2,e1, "d")))
893        ## ldi*:
894        setMethod("Ops", signature(e1 = "ldiMatrix", e2 = other),
895                  function(e1,e2) callGeneric(diag2tT.u(e1,e2, "l"), e2))
896        setMethod("Ops", signature(e1 = other, e2 = "ldiMatrix"),
897                  function(e1,e2) callGeneric(e1, diag2tT.u(e2,e1, "l")))
898    }
899    ## This should *not* dispatch to <dense> methods (in ./Ops.R ), as
900    ##  FALSE & <anything> |-> FALSE : hence result should be diagonal:
901    for(cl in diCls) {
902        setMethod("&", signature(e1 = cl, e2 = "ANY"),
903                  function(e1,e2) e1 & as(e2,"Matrix"))
904        setMethod("&", signature(e1 = "ANY", e2 = cl),
905                  function(e1,e2) as(e1,"Matrix") & e2)
906        for(c2 in c("denseMatrix", "Matrix")) {
907            setMethod("&", signature(e1 = cl, e2 = c2),
908                      function(e1,e2) e1 & Diagonal(x = diag(e2)))
909            setMethod("&", signature(e1 = c2, e2 = cl),
910                      function(e1,e2) Diagonal(x = diag(e1)) & e2)
911        }
912    }
913    
914    
915    ### "Summary" : "max"   "min"   "range" "prod"  "sum"   "any"   "all"
916    ### ----------  any, all: separately here
917    for(cl in diCls) {
918    setMethod("any", cl,
919              function (x, ..., na.rm) {
920                  if(any(x@Dim == 0)) FALSE
921                  else if(x@diag == "U") TRUE else any(x@x, ..., na.rm = na.rm)
922              })
923    setMethod("all",  cl, function (x, ..., na.rm) any(x@Dim == 0))
924    setMethod("prod", cl, function (x, ..., na.rm) as.numeric(any(x@Dim == 0)))
925    
926    setMethod("sum", cl,
927              function(x, ..., na.rm) {
928                  r <- sum(x@x, ..., na.rm = na.rm)# double or integer, correctly
929                  if(x@diag == "U" && !is.na(r)) r + x@Dim[1] else r
930              })
931    }
932    
933    ## The remaining ones are  max, min, range :
934    
935    setMethod("Summary", "ddiMatrix",
936              function(x, ..., na.rm) {
937                  if(any(x@Dim == 0)) callGeneric(numeric(0), ..., na.rm=na.rm)
938                  else if(x@diag == "U")
939                      callGeneric(x@x, 0, 1, ..., na.rm=na.rm)
940                  else callGeneric(x@x, 0, ..., na.rm=na.rm)
941              })
942    setMethod("Summary", "ldiMatrix",
943              function(x, ..., na.rm) {
944                  if(any(x@Dim == 0)) callGeneric(logical(0), ..., na.rm=na.rm)
945                  else if(x@diag == "U")
946                      callGeneric(x@x, FALSE, TRUE, ..., na.rm=na.rm)
947                  else callGeneric(x@x, FALSE, ..., na.rm=na.rm)
948              })
949    
950    
951    
# Line 463  Line 964 
964            function(object) {            function(object) {
965                d <- dim(object)                d <- dim(object)
966                cl <- class(object)                cl <- class(object)
967                cat(sprintf('%d x %d diagonal matrix of class "%s"\n',                cat(sprintf('%d x %d diagonal matrix of class "%s"',
968                            d[1], d[2], cl))                            d[1], d[2], cl))
969                  if(d[1] < 50) {
970                      cat("\n")
971                prDiag(object)                prDiag(object)
972                  } else {
973                      cat(", with diagonal entries\n")
974                      show(diag(object))
975                      invisible(object)
976                  }
977            })            })

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