[manpage_begin math n 1.2.5]
[keywords math]
[keywords statistics]
[comment {-*- tcl -*- doctools manpage}]
[moddesc   {Tcl Math Library}]
[titledesc {Tcl Math Library}]
[category  Mathematics]
[require Tcl 8.2]
[require math [opt 1.2.5]]
[description]
[para]

The [package math] package provides utility math functions.
[para]
Besides a set of basic commands, available via the package [emph math],
there are more specialised packages:

[list_begin itemized]
[item]
[package math::bigfloat] - Arbitrary-precision floating-point
arithmetic
[item]
[package math::bignum] - Arbitrary-precision integer arithmetic
[item]
[package math::calculus::romberg] - Robust integration methods for
functions of one variable, using Romberg integration
[item]
[package math::calculus] - Integration of functions, solving ordinary
differential equations
[item]
[package math::combinatorics] - Procedures for various combinatorial
functions (for instance the Gamma function and "k out of n")
[item]
[package math::complexnumbers] - Complex number arithmetic
[item]
[package math::constants] - A set of well-known mathematical
constants, such as Pi, E, and the golden ratio
[item]
[package math::fourier] - Discrete Fourier transforms
[item]
[package math::fuzzy] - Fuzzy comparisons of floating-point numbers
[item]
[package math::geometry] - 2D geometrical computations
[item]
[package math::interpolate] - Various interpolation methods
[item]
[package math::linearalgebra] - Linear algebra package
[item]
[package math::optimize] - Optimization methods
[item]
[package math::polynomials] - Polynomial arithmetic (includes families
of classical polynomials)
[item]
[package math::rationalfunctions] - Arithmetic of rational functions
[item]
[package math::roman] - Manipulation (including arithmetic) of Roman
numerals
[item]
[package math::special] - Approximations of special functions from
mathematical physics
[item]
[package math::statistics] - Statistical operations and tests
[list_end]

[section "BASIC COMMANDS"]

[list_begin definitions]

[call [cmd ::math::cov] [arg value] [arg value] [opt [arg {value ...}]]]

Return the coefficient of variation expressed as percent of two or
more numeric values.

[call [cmd ::math::integrate] [arg {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.

[call [cmd ::math::fibonacci] [arg n]]

Return the [arg n]'th Fibonacci number.

[call [cmd ::math::max] [arg value] [opt [arg {value ...}]]]

Return the maximum of one or more numeric values.

[call [cmd ::math::mean] [arg value] [opt [arg {value ...}]]]

Return the mean, or "average" of one or more numeric values.

[call [cmd ::math::min] [arg value] [opt [arg {value ...}]]]

Return the minimum of one or more numeric values.

[call [cmd ::math::product] [arg value] [opt [arg {value ...}]]]

Return the product of one or more numeric values.

[call [cmd ::math::random] [opt [arg value1]] [opt [arg 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 [arg value1].  If two
arguments are given, the number is an integer value between

[arg value1] and [arg value2].

[call [cmd ::math::sigma] [arg value] [arg value] [opt [arg {value ...}]]]

Return the population standard deviation of two or more numeric
values.

[call [cmd ::math::stats] [arg value] [arg value] [opt [arg {value ...}]]]

Return the mean, standard deviation, and coefficient of variation (as
percent) as a list.

[call [cmd ::math::sum] [arg value] [opt [arg {value ...}]]]

Return the sum of one or more numeric values.

[list_end]

[vset CATEGORY math]
[include ../common-text/feedback.inc]
[manpage_end]
