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 ...?
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
- ::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.
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.