pm_mathExp Module Reference

This module contains procedures and generic interfaces for computing the previous/next integer exponent for the given base that yields a number smaller/larger than the absolute input value. More...

Data Types
interface	getExpNext
	Generate the next integer exponent expNext for the specified input base and absolute value absx = abs(x) such that the condition absx <= base**expNext holds. More...
interface	getExpPrev
	Generate the previous integer exponent expPrev for the specified input base and absolute value absx = abs(x) such that the condition base**expPrev <= absx holds. More...
interface	isIntPow
	Generate and return .true. if and only if the input positive integer is a whole-number (integer) power of the specified integer base. More...

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

Detailed Description

This module contains procedures and generic interfaces for computing the previous/next integer exponent for the given base that yields a number smaller/larger than the absolute input value.

For a given number \(x\) and base \(b\), the next integer exponent \(p\) is defined as the smallest integer such that,

\begin{equation} b^{(p - 1)} < |x| \leq b^p ~~~ \forall x > 0 ~, \end{equation}

Note

The functionalities of this module are useful in computing the padded lengths of arrays whose auto-correlation, cross-correlation, or Fourier-Transform are to be computed using the Fast-Fourier Transform method.

See also

pm_fftpack

Test:

test_pm_mathExp

Final Remarks ⛓

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Copyright

Computational Data Science Lab

Author:

Amir Shahmoradi, April 25, 2015, 2:21 PM, National Institute for Fusion Studies, The University of Texas at Austin

Variable Documentation

MODULE_NAME

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

Definition at line 50 of file pm_mathExp.F90.