@BeginModule
@NewPage
@Name      = Daypctl
@Title     = Daily percentile values
@Section   = Statistical values
@Class     = Statistic
@Arguments = ifile1 ifile2 ifile3 ofile
@Operators = daypctl

@BeginDescription
This operator computes percentiles over all time steps of the same day in @file{ifile1}.
The algorithm uses histograms with minimum and maximum bounds given in
@file{ifile2} and @file{ifile3}, respectively. The default number of
histogram bins is 100. The default can be overridden by defining the
environment variable @env{CDO_PCTL_NBINS}. The files @file{ifile2} and
@file{ifile3} should be the result of corresponding @mod{daymin} and @mod{daymax}
operations, respectively.
The date information of a time step in @file{ofile} is the date of the
last contributing time step in @file{ifile1}.
@EndDescription
@EndModule


@BeginOperator_daypctl
@Title     = Daily percentiles
@Parameter = p

@BeginDescription
@IfMan
For every adjacent sequence t_1, ...,t_n of time steps of the same day it is

o(t,x) = pth percentile {i(t',x), t_1<t'<=t_n}
@EndifMan
@IfDoc
\vspace*{1mm}
For every adjacent sequence \begin{math}t_1, ...,t_n\end{math} of time steps of the same day it is: \\
\vspace*{1mm}

@BeginMath
o(t,x) = \mbox{\bf pth percentile} \{i(t',x), t_1 < t' \leq t_n\}
@EndMath
@EndifDoc
@EndDescription
@EndOperator


@BeginParameter
@Item = p
INTEGER  Percentile number in {1, ..., 99}
@EndParameter


@BeginEnvironment
@Item = CDO_PCTL_NBINS
Sets the number of histogram bins. The default number is 100.
@EndEnvironment


@BeginExample
To compute the daily 90th percentile of a time series use:
@BeginVerbatim
   cdo daymin ifile minfile
   cdo daymax ifile maxfile
   cdo daypctl,90 ifile minfile maxfile ofile
@EndVerbatim
Or shorter using operator piping:
@BeginVerbatim
   cdo daypctl,90 ifile -daymin ifile -daymax ifile ofile
@EndVerbatim
@EndExample
