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math(n)                                       Tcl Math Library                                       math(n)



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NAME
       math - Tcl Math Library

SYNOPSIS
       package require Tcl  8.2

       package require math  ?1.2.4?

       ::math::cov value value ?value ...?

       ::math::integrate list of xy value pairs

       ::math::fibonacci n

       ::math::max value ?value ...?

       ::math::mean value ?value ...?

       ::math::min value ?value ...?

       ::math::product value ?value ...?

       ::math::random ?value1? ?value2?

       ::math::sigma value value ?value ...?

       ::math::stats value value ?value ...?

       ::math::sum value ?value ...?

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DESCRIPTION
       The math package provides utility math functions.

       Besides a set of basic commands, available via the package math, there are more specialised packages:

       •      math::bigfloat - Arbitrary-precision floating-point arithmetic

       •      math::bignum - Arbitrary-precision integer arithmetic

       •      math::calculus::romberg - Robust integration methods for  functions  of  one  variable,  using
              Romberg integration

       •      math::calculus - Integration of functions, solving ordinary differential equations

       •      math::combinatorics  -  Procedures for various combinatorial functions (for instance the Gamma
              function and "k out of n")

       •      math::complexnumbers - Complex number arithmetic

       •      math::constants - A set of well-known mathematical constants, such as Pi, E,  and  the  golden
              ratio

       •      math::fourier - Discrete Fourier transforms

       •      math::fuzzy - Fuzzy comparisons of floating-point numbers

       •      math::geometry - 2D geometrical computations

       •      math::interpolate - Various interpolation methods

       •      math::linearalgebra - Linear algebra package

       •      math::optimize - Optimization methods

       •      math::polynomials - Polynomial arithmetic (includes families of classical polynomials)

       •      math::rationalfunctions - Arithmetic of rational functions

       •      math::roman - Manipulation (including arithmetic) of Roman numerals

       •      math::special - Approximations of special functions from mathematical physics

       •      math::statistics - Statistical operations and tests


BASIC COMMANDS
       ::math::cov value value ?value ...?
              Return the coefficient of variation expressed as percent of two or more numeric values.

       ::math::integrate list of xy value pairs
              Return the area under a "curve" defined by a set of x,y pairs and the error bound as a list.

       ::math::fibonacci n
              Return the n'th Fibonacci number.

       ::math::max value ?value ...?
              Return the maximum of one or more numeric values.

       ::math::mean value ?value ...?
              Return the mean, or "average" of one or more numeric values.

       ::math::min value ?value ...?
              Return the minimum of one or more numeric values.

       ::math::product value ?value ...?
              Return the product of one or more numeric values.

       ::math::random ?value1? ?value2?
              Return  a  random  number.   If  no  arguments are given, the number is a floating point value
              between 0 and 1.  If one argument is given, the number is  an  integer  value  between  0  and
              value1.  If two arguments are given, the number is an integer value between value1 and value2.

       ::math::sigma value value ?value ...?
              Return the population standard deviation of two or more numeric values.

       ::math::stats value value ?value ...?
              Return the mean, standard deviation, and coefficient of variation (as percent) as a list.

       ::math::sum value ?value ...?
              Return the sum of one or more numeric values.


BUGS, IDEAS, FEEDBACK
       This document, and the package it describes,  will  undoubtedly  contain  bugs  and  other  problems.
       Please   report   such   in   the   category   math   of   the  Tcllib  SF  Trackers  [http://source-
       forge.net/tracker/?group_id=12883].  Please also report any ideas for enhancements you may  have  for
       either package and/or documentation.

KEYWORDS
       math, statistics



math                                                1.2.4                                            math(n)