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### Generalized Schur form in double precision.
#
# Call "src/R_dgges.c" wrap "src/dgges.f".
# See "src/dgges.f" for details notations.
#
# (A,B) = ( (VSL)*S*(VSR)**T, (VSL)*T*(VSR)**T )
#
# where (VSR)**T is the transpose of VSR.
#
qz.dgges <- function(A, B, vsl = TRUE, vsr = TRUE, LWORK = NULL){
if(!(is.double(A) && is.double(B))){
stop("A and B should be in double")
}
if(!(is.matrix(A) && is.matrix(B))){
stop("A and B should be in matrix.")
}
if(any(dim(A) != dim(B))){
stop("Dimensions of A and B should be equal.")
}
if(dim(A)[1] != dim(A)[2]){
stop("Squared matrices are required.")
}
JOBVSL <- ifelse(vsl, "V", "N")
JOBVSR <- ifelse(vsr, "V", "N")
SORT <- "N" # WCC: TODO
SELCTG <- 0L # WCC: TODO, no effect if SORT = "N".
N <- as.integer(ncol(A))
# S <- A # WCC: memory copy, done in C.
LDA <- as.integer(N)
# T <- B # WCC: memory copy, done in C.
LDB <- as.integer(N)
SDIM <- as.integer(0L) # WCC: TODO, no effect if SORT = "N".
ALPHAR <- double(N)
ALPHAI <- double(N)
BETA <- double(N)
if(vsl){
LDVSL <- as.integer(N)
VSL <- double(LDVSL * N)
dim(VSL) <- c(LDVSL, N)
} else{
LDVSL <- as.integer(1)
VSL <- double(1)
}
if(vsr){
LDVSR <- as.integer(N)
VSR <- double(LDVSR * N)
dim(VSR) <- c(LDVSR, N)
} else{
LDVSR <- as.integer(1)
VSR <- double(1)
}
if(is.null(LWORK) || LWORK < 8 * N + 16){
LWORK <- as.integer(8 * N + 16)
} else{
LWORK <- as.integer(LWORK)
}
WORK <- double(LWORK)
BWORK <- integer(N) # WCC: TODO, no effect if SORT = "N".
INFO <- integer(1)
ret <- .Call("R_dgges",
JOBVSL, JOBVSR, SORT, SELCTG, N,
A, LDA, B, LDB, SDIM,
ALPHAR, ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR,
WORK, LWORK, BWORK,
INFO,
PACKAGE = "QZ")
ret$ALPHAR <- ALPHAR
ret$ALPHAI <- ALPHAI
ret$BETA <- BETA
if(vsl){
ret$VSL <- VSL
} else{
ret$VSL <- NULL
}
if(vsr){
ret$VSR <- VSR
} else{
ret$VSR <- NULL
}
ret$WORK <- WORK[1]
ret$INFO <- INFO
# For returns.
if(all(ALPHAI == 0)){
ret$ALPHA <- ALPHAR
} else{
ret$ALPHA <- complex(real = ALPHAR, imaginary = ALPHAI)
}
if(vsl){
ret$Q <- VSL
} else{
ret$Q <- NULL
}
if(vsr){
ret$Z <- VSR
} else{
ret$Z <- NULL
}
class(ret) <- "dgges"
ret
} # End of qz.dgges().
### S3 method.
print.dgges <- function(x, digits = max(4, getOption("digits") - 3), ...){
op.org <- options()
options(digits = digits)
cat("ALPHA:\n")
print(x$ALPHA)
cat("\nBETA:\n")
print(x$BETA)
cat("S:\n")
print(x$S)
cat("\nT:\n")
print(x$T)
if(! is.null(x$Q)){
cat("\nQ:\n")
print(x$Q)
}
if(! is.null(x$Z)){
cat("\nZ:\n")
print(x$Z)
}
options(op.org)
invisible()
} # end of print.dgges().
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