# math (n) - Linux Manuals

## NAME

math - Tcl Math Library

## SYNOPSIS

package require Tcl 8.2

package require math ?1.2.5?

::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 ...?

## 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://sourceforge.net/tracker/?group_id=12883]. Please also report any ideas for enhancements you may have for either package and/or documentation.

math, statistics

Mathematics