'\"
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.TH "math" n 1\&.2\&.6 tcllib "Tcl Math Library"
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.SH NAME
math \- Tcl Math Library
.SH SYNOPSIS
package require \fBTcl 8\&.5 9\fR
.sp
package require \fBmath ?1\&.2\&.6?\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 sample 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 Trackers\fR [http://core\&.tcl\&.tk/tcllib/reportlist]\&.
Please also report any ideas for enhancements you may have for either
package and/or documentation\&.
.PP
When proposing code changes, please provide \fIunified diffs\fR,
i\&.e the output of \fBdiff -u\fR\&.
.PP
Note further that \fIattachments\fR are strongly preferred over
inlined patches\&. Attachments can be made by going to the \fBEdit\fR
form of the ticket immediately after its creation, and then using the
left-most button in the secondary navigation bar\&.
.SH KEYWORDS
math, statistics
.SH CATEGORY
Mathematics
