```
# as tolNorm2 method in rankMatrix from the Matrix package, but avoids validity
# checks - much faster if need to do repeated rank calculations
#
# Copyright (C) 2007 Martin Maechler
# Copyright (C) 2010 Heather Turner
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 or 3 of the License
# (at your option).
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# A copy of the GNU General Public License is available at
# http://www.r-project.org/Licenses/
quickRank <- function(X, tol = NULL) {
sval <- svd(X, 0, 0)$d
if (is.null(tol))
sum(sval >= max(dim(X)) * .Machine$double.eps * sval[1])
else
sum(sval >= tol)
}
```

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