Philippe Grosjean <phgrosjean@sciviews.org> wrote: What Fred is looking for is local minima/maxima, also known as turning 
points, or pits/peaks in a series.  You can look at ?turnpoints in 
pastecs library.

 > x <- c(1:4,0:5, 4, 11)
 > x
  [1]  1  2  3  4  0  1  2  3  4  5  4 11
 > tp <- turnpoints(x)
 > summary(tp)
Turning points for: x

nbr observations  : 12
nbr ex-aequos     : 0
nbr turning points: 4 (first point is a peak)
E(p) = 6.666667 Var(p) = 1.811111 (theoretical)

   point type       proba      info
1     4 peak 0.100000000 3.3219281
2     5  pit 0.002380952 8.7142455
3    10 peak 0.005952381 7.3923174
4    11  pit 0.666666667 0.5849625
 > plot(tp) # Only useful for a longer and more complex series!
 > # Get the position of peaks
 > (1:length(x))[extract(tp, no.tp = FALSE, peak = TRUE, pit = FALSE)]
[1]  4 10
Warning message:
arguments after the first two are ignored in: UseMethod("extract", e, n, 
...)
 > (1:length(x))[extract(tp, no.tp = FALSE, peak = FALSE, pit = TRUE)]
[1]  5 11
Warning message:
arguments after the first two are ignored in: UseMethod("extract", e, n, 
...)
 > # By the way, there are warnings although it works well (I ask on R-Help)

Now, you can easily code your which.minima() function using turnpoints:

x <- c(1:4,0:5, 4, 11)
x
tp <- turnpoints(x)
summary(tp)
plot(tp) # Only useful for a longer and more complex series!
# Get the position of peaks
(1:length(x))[extract(tp, no.tp = FALSE, peak = TRUE, pit = FALSE)]
(1:length(x))[extract(tp, no.tp = FALSE, peak = FALSE, pit = TRUE)]
# By the way, there are warnings although it works well (I ask on R-Help)

which.minima <- function(x) {
 if (!require(pastecs)) stop("pastecs library is required!")
 x <- as.vector(x)
 (1:length(x))[extract(turnpoints(x), no.tp = FALSE, peak = FALSE, pit = 
TRUE)]
}

which.minima(x)

Of course, you could optimize this code. This is just a rough solution!
Best,

Philippe Grosjean

..............................................<�}))><........
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( ( ( ( (    Prof. Philippe Grosjean
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..............................................................

  Is there a limit as far as the data input to the function turnpoints? It seams to be unable to process a vector with 15000 records with number in the form of 734.2983, the data is known to have picks and pits
   
  The steps: 
  Where pp is the vector with data of the above-mentioned style.
  
 >tp <- turnpoints(rev(pp))
  > mx_id_rev <- (1:length(pp))[extract(tp, no.tp = FALSE, peak = TRUE, pit = FALSE)]
  > tp
  Turning points for: rev(pp) 
   
  nbr observations  : 11745 
  nbr ex-aequos     : 10273 
  nbr turning points: 1231 (first point is a pit)
  E(p) = 7828.667 Var(p) = 2087.678 (theoretical)
  > mx_id_rev
  numeric(0)
   
  Regards,
   
  
		
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