NAME

       mintegrate -  evaluate average/sum/integral/derivative of 1-d numerical data

SYNOPSIS

       mintegrate [OPTION]... [FILE]

DESCRIPTION

       mintegrate  is  a program to compute averages, sums, integrals or derivatives of numerical
       1-d data in situations where ultimate numerical precision is not needed.

OPTIONS

       -a     compute mean value (arithmetic average) and standard deviation

       -c     compute integral on closed x-data interval; In case that dx is not specified by the
              '-d' flag, the data are supposed to be from an irregular x-grid, and dx is computed
              separately for every x-interval. The integral is computed by the trapezoidal rule.

       -d <float>
              compute integral on open x-data interval with the specified dx; Can be used also in
              combination with '-D' and '-c'.

       -D     compute  difference  btw.  numbers  or  derivative  of  the  y-data; In the default
              scenario where x- and y-data column are same, the difference btw. the  current  and
              the previous data value will be output. In this case when '-d' is defined as 0, the
              x-data value will be print out in front of the calculated difference. If x-and  the
              y-column  are  different  and if the x-data resolution is not defined or it is !=0,
              then the derivative of the y-data is calculated.  When  the  x-data  resolution  is
              constant,  specify it explicitly by '-d' to achieve a higher numerical precision by
              a 'leapfrog' algorithm.

       -x <int>
              x-data column (default is 1). If 0, the x-range is an index;

       -y <int>
              y-data column, where y=f(x) (default is 1)

       -r x_0:x_1
              x-data range to consider

       -s     print out accumulated y_i sums: x_i versus accumulated f(x_i); In  the  case  of  a
              closed integral you have to specify also the x-data resolution dx (see '-d' above).

       -S     compute the accumulated y_i-sums and add it to the output

       -p <str>
              print format of the result ("%.10g" is default)

       -t <str>
              output  text  in  front  of  the result (invalid with '-s' or '-S'); A blank can be
              printed by using a double underscore character '__'.

       -T     run a self-test that the program is working correctly

       -V     print version number

       --version
              output version and license message

       --help|-H
              display help

       -h     display short help (options summary)

       If none of the options '-a', '-D', '-d', or '-c' is used, then the  sum  of  the  provided
       data will be computed. Empty lines or lines starting with '#' are skipped.

       This program is perfectly suitable as a basic tool for initial data analysis and will meet
       the expected accuracy of a numerical solution for the most demanding  computer  users  and
       professionals.  Yet  be  aware  that,  although  the  computations are carried with double
       floating precision, the computational techniques used for  evaluating  an  integral  or  a
       standard  deviation are analytically low-order approximations, and thus not intended to be
       used for numerical computations in engineering or mathematical sciences for cases where an
       ultimate  numerical  precision  is  a  must.  For  deeper  understanding  of the topic see
       http://en.wikipedia.org/wiki/Numerical_analysis.

COPYRIGHT

       Copyright © 1997, 2001, 2006-2007, 2009, 2011-2012 Dimitar Ivanov

       License: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
       This is free software: you are free to change and redistribute it.  There is NO  WARRANTY,
       to the extent permitted by law.