pm_mathFactoring Module Reference

This module contains procedures and generic interfaces for computing the prime factors of integers. More...

Data Types
interface	getFactoring
	Generate and return the factoring of the input positive integer. More...

Variables
character(*, SK), parameter	MODULE_NAME = "@pm_mathFactoring"

Detailed Description

This module contains procedures and generic interfaces for computing the prime factors of integers.

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
For example, \(3 \times 5\) is a factorization of the integer \(15\).

The factoring of an integer number \(n\) is defined such that,

\begin{equation} \large n = \prod_{i=1}^{m} f_i ~, \end{equation}

where \(m\) is the number of factors of \(n\) and \(f_i\) are the prime factors.

Note

Factorization of the lengths of data is an important prerequisite for computing the Discrete Fourier Transform of real or complex data.

pm_fftpack
pm_mathFactorial

Test:

test_pm_mathFactoring

Final Remarks ⛓

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For details on the naming conventions, see this page.
This software is distributed under the MIT license with additional terms outlined below.

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Copyright

Computational Data Science Lab

Author:

Amir Shahmoradi, April 23, 2017, 1:36 AM, Institute for Computational Engineering and Sciences (ICES), University of Texas at Austin

Variable Documentation

MODULE_NAME

character(*, SK), parameter pm_mathFactoring::MODULE_NAME = "@pm_mathFactoring"

Definition at line 57 of file pm_mathFactoring.F90.