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

       -F <str>
              sets the field separator (default is a single space 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, 2011-2014 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.

mintegrate 2.4.1                                    July 2014                                      MINTEGRATE(1)