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.TH "math" n 1.2.4 math "Tcl Math Library"
.BS
.SH NAME
math \- Tcl Math Library
.SH SYNOPSIS
package require \fBTcl  8.2\fR
.sp
package require \fBmath  ?1.2.4?\fR
.sp
\fB::math::cov\fR \fIvalue\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::integrate\fR \fIlist of xy value pairs\fR
.sp
\fB::math::fibonacci\fR \fIn\fR
.sp
\fB::math::max\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::mean\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::min\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::product\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::random\fR ?\fIvalue1\fR? ?\fIvalue2\fR?
.sp
\fB::math::sigma\fR \fIvalue\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::stats\fR \fIvalue\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
\fB::math::sum\fR \fIvalue\fR ?\fIvalue ...\fR?
.sp
.BE
.SH DESCRIPTION
.PP
The \fBmath\fR package provides utility math functions.
.PP
Besides a set of basic commands, available via the package \fImath\fR,
there are more specialised packages:
.IP \(bu
\fBmath::bigfloat\fR - Arbitrary-precision floating-point
arithmetic
.IP \(bu
\fBmath::bignum\fR - Arbitrary-precision integer arithmetic
.IP \(bu
\fBmath::calculus::romberg\fR - Robust integration methods for
functions of one variable, using Romberg integration
.IP \(bu
\fBmath::calculus\fR - Integration of functions, solving ordinary
differential equations
.IP \(bu
\fBmath::combinatorics\fR - Procedures for various combinatorial
functions (for instance the Gamma function and "k out of n")
.IP \(bu
\fBmath::complexnumbers\fR - Complex number arithmetic
.IP \(bu
\fBmath::constants\fR - A set of well-known mathematical
constants, such as Pi, E, and the golden ratio
.IP \(bu
\fBmath::fourier\fR - Discrete Fourier transforms
.IP \(bu
\fBmath::fuzzy\fR - Fuzzy comparisons of floating-point numbers
.IP \(bu
\fBmath::geometry\fR - 2D geometrical computations
.IP \(bu
\fBmath::interpolate\fR - Various interpolation methods
.IP \(bu
\fBmath::linearalgebra\fR - Linear algebra package
.IP \(bu
\fBmath::optimize\fR - Optimization methods
.IP \(bu
\fBmath::polynomials\fR - Polynomial arithmetic (includes families
of classical polynomials)
.IP \(bu
\fBmath::rationalfunctions\fR - Arithmetic of rational functions
.IP \(bu
\fBmath::roman\fR - Manipulation (including arithmetic) of Roman
numerals
.IP \(bu
\fBmath::special\fR - Approximations of special functions from
mathematical physics
.IP \(bu
\fBmath::statistics\fR - Statistical operations and tests
.PP
.SH "BASIC COMMANDS"
.TP
\fB::math::cov\fR \fIvalue\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the coefficient of variation expressed as percent of two or
more numeric values.
.TP
\fB::math::integrate\fR \fIlist of xy value pairs\fR
Return the area under a "curve" defined by a set of x,y pairs and the
error bound as a list.
.TP
\fB::math::fibonacci\fR \fIn\fR
Return the \fIn\fR'th Fibonacci number.
.TP
\fB::math::max\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the maximum of one or more numeric values.
.TP
\fB::math::mean\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the mean, or "average" of one or more numeric values.
.TP
\fB::math::min\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the minimum of one or more numeric values.
.TP
\fB::math::product\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the product of one or more numeric values.
.TP
\fB::math::random\fR ?\fIvalue1\fR? ?\fIvalue2\fR?
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 \fIvalue1\fR.  If two
arguments are given, the number is an integer value between
\fIvalue1\fR and \fIvalue2\fR.
.TP
\fB::math::sigma\fR \fIvalue\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the population standard deviation of two or more numeric
values.
.TP
\fB::math::stats\fR \fIvalue\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the mean, standard deviation, and coefficient of variation (as
percent) as a list.
.TP
\fB::math::sum\fR \fIvalue\fR ?\fIvalue ...\fR?
Return the sum of one or more numeric values.
.PP
.SH "BUGS, IDEAS, FEEDBACK"
This document, and the package it describes, will undoubtedly contain
bugs and other problems.
Please report such in the category \fImath\fR of the
\fITcllib SF Trackers\fR [http://sourceforge.net/tracker/?group_id=12883].
Please also report any ideas for enhancements you may have for either
package and/or documentation.
.SH KEYWORDS
math, statistics