sfsmisc: u.log – R documentation

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u.log

(Anti)Symmetric Log High-Transform

Description

Compute log() only for high values and keep low ones – antisymmetrically such that u.log(x) is (once) continuously differentiable, it computes f(x) = x for |x| <= c and sign(x)*c*(1 + log(|x|/c)) for |x| >= c.

Usage

u.log(x, c = 1)

Arguments

`x`	numeric vector to be transformed.
`c`	scalar, > 0

Value

numeric vector of same length as x.

Author(s)

Martin Maechler, 24 Jan 1995

Examples

curve(u.log, -3, 10); abline(h=0, v=0, col = "gray20", lty = 3)
curve(1 + log(x), .01,  add = TRUE, col= "brown") # simple log
curve(u.log(x,    2),   add = TRUE, col=2)
curve(u.log(x, c= 0.4), add = TRUE, col=4)

sfsmisc

Utilities from 'Seminar fuer Statistik' ETH Zurich

v1.1-11

GPL (>= 2)

Authors

Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>), Werner Stahel [ctb] (Functions: compresid2way(), f.robftest(), last(), p.scales(), p.dnorm()), Andreas Ruckstuhl [ctb] (Functions: p.arrows(), p.profileTraces(), p.res.2x()), Christian Keller [ctb] (Functions: histBxp(), p.tachoPlot()), Kjetil Halvorsen [ctb] (Functions: KSd(), ecdf.ksCI()), Alain Hauser [ctb] (Functions: cairoSwd(), is.whole(), toLatex.numeric()*), Christoph Buser [ctb] (to function Duplicated()), Lorenz Gygax [ctb] (to function p.res.2fact()), Bill Venables [ctb] (Functions: empty.dimnames(), primes()), Tony Plate [ctb] (to inv.seq()), Isabelle Fl<fc>ckiger [ctb], Marcel Wolbers [ctb], Markus Keller [ctb], Sandrine Dudoit [ctb], Jane Fridlyand [ctb], Greg Snow [ctb] (to loessDemo()), Henrik Aa. Nielsen [ctb] (to loessDemo()), Vincent Carey [ctb], Ben Bolker [ctb], Philippe Grosjean [ctb], Fr<e9>d<e9>ric Ibanez [ctb], Caterina Savi [ctb], Charles Geyer [ctb], Jens Oehlschl<e4>gel [ctb]

Initial release

2021-04-03