ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation.
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


If you believe this algorithm or its documentation can be improved, we appreciate your contribution and help to edit this page's documentation and source file on GitHub.
For details on the naming abbreviations, see this page.
For details on the naming conventions, see this page.
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  1. If you use any parts or concepts from this library to any extent, please acknowledge the usage by citing the relevant publications of the ParaMonte library.
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Help us justify its continued development and maintenance by acknowledging its benefit to society, distributing it, and contributing to it.

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.