MINTEGRATE(1)							   User Commands						     MINTEGRATE(1)

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 dif-
	      ference 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 pre-
       cision, 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  pre-
       cision is a must. For deeper understanding of the topic see http://en.wikipedia.org/wiki/Numerical_analysis.

COPYRIGHT

       Copyright (C) 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.

mintegrate 2.2.1						   February 2012						     MINTEGRATE(1)