### Generalized Schur form in complex*16 precision.
#
# Call "src/R_zgges.c" wrap "src/zgges.f".
# See "src/zgges.f" for details notations.
#
# (A,B) = ( (VSL)*S*(VSR)**H, (VSL)*T*(VSR)**H )
#
# where (VSR)**H is the conjugate-transpose of VSR.
#
qz.zgges <- function(A, B, vsl = TRUE, vsr = TRUE, LWORK = NULL){
# Check
if(!(is.complex(A) && is.complex(B))){
stop("A and B should be in complex.")
}
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.")
}
# Prepare
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".
ALPHA <- complex(N)
BETA <- complex(N)
if(vsl){
LDVSL <- as.integer(N)
VSL <- complex(LDVSL * N)
dim(VSL) <- c(LDVSL, N)
} else{
LDVSL <- as.integer(1)
VSL <- complex(LDVSL)
}
if(vsr){
LDVSR <- as.integer(N)
VSR <- complex(LDVSR * N)
dim(VSR) <- c(LDVSR, N)
} else{
LDVSR <- as.integer(1)
VSR <- complex(LDVSR)
}
if(is.null(LWORK) || LWORK < 2 * N){
LWORK <- as.integer(2 * N)
} else{
LWORK <- as.integer(LWORK)
}
WORK <- complex(LWORK)
RWORK <- double(8 * N)
BWORK <- integer(N) # WCC: TODO, no effect if SORT = "N".
INFO <- integer(1)
# Run
ret <- .Call("R_zgges",
JOBVSL, JOBVSR, SORT, SELCTG, N,
A, LDA, B, LDB, SDIM,
ALPHA, BETA, VSL, LDVSL, VSR, LDVSR,
WORK, LWORK, RWORK, BWORK,
INFO,
PACKAGE = "QZ")
# Return
ret$ALPHA <- ALPHA
ret$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
# Extra returns
if(vsl){
ret$Q <- VSL
} else{
ret$Q <- NULL
}
if(vsr){
ret$Z <- VSR
} else{
ret$Z <- NULL
}
class(ret) <- "zgges"
ret
} # End of qz.zgges().
### S3 method.
print.zgges <- 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.zggev().
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