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# file MASS/misc.q
# copyright (C) 1994-9 W. N. Venables and B. D. Ripley
#
con2tr <- function(obj)
{
data.frame(expand.grid(x=obj$x,y=obj$y),z=as.vector(obj$z))
}
Null <- function(M)
{
tmp <- qr(M)
set <- if(tmp$rank == 0) 1:ncol(M) else - (1:tmp$rank)
qr.Q(tmp, complete = TRUE)[, set, drop = FALSE]
}
ginv <- function(X, tol = sqrt(.Machine$double.eps))
{
#
# based on suggestions of R. M. Heiberger, T. M. Hesterberg and WNV
#
if(length(dim(X)) > 2 || !(is.numeric(X) || is.complex(X)))
stop("X must be a numeric or complex matrix")
if(!is.matrix(X)) X <- as.matrix(X)
Xsvd <- svd(X)
if(is.complex(X)) Xsvd$u <- Conj(Xsvd$u)
Positive <- Xsvd$d > max(tol * Xsvd$d[1], 0)
if (all(Positive)) Xsvd$v %*% (1/Xsvd$d * t(Xsvd$u))
else if(!any(Positive)) array(0, dim(X)[2:1])
else Xsvd$v[, Positive, drop=FALSE] %*% ((1/Xsvd$d[Positive]) * t(Xsvd$u[, Positive, drop=FALSE]))
}
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