[ Main Table Of Contents  Table Of Contents  Keyword Index  Categories  Modules  Applications ]
NAME
math  Tcl Math Library
Table Of Contents
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  Arbitraryprecision floatingpoint arithmetic
math::bignum  Arbitraryprecision 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 wellknown mathematical constants, such as Pi, E, and the golden ratio
math::fourier  Discrete Fourier transforms
math::fuzzy  Fuzzy comparisons of floatingpoint 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.

Return the n'th Fibonacci number.

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

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.

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 Trackers. Please also report any ideas for enhancements you may have for either package and/or documentation.
When proposing code changes, please provide unified diffs, i.e the output of diff u.
Note further that attachments are strongly preferred over inlined patches. Attachments can be made by going to the Edit form of the ticket immediately after its creation, and then using the leftmost button in the secondary navigation bar.
KEYWORDS
CATEGORY
Mathematics