ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation.
pm_mathExp::isIntPow Interface Reference

Generate and return .true. if and only if the input positive integer is a whole-number (integer) power of the specified integer base. More...

Detailed Description

Generate and return .true. if and only if the input positive integer is a whole-number (integer) power of the specified integer base.

The procedures of this generic interface rely on the binary representation of numbers to determine if the number is a power of base two.
For all other cases, an iterative division approach is used to determine the output.

Parameters
[in]absx: The input scalar (or array of the same rank, shape, and size as other array-like arguments) of,
  1. type integer of kind any supported by the processor (e.g., IK, IK8, IK16, IK32, or IK64),
representing the absolute value of the number for which the next integer exponent in specified base must be computed.
[in]base: The input positive scalar (or array of the same rank, shape, and size as other array-like arguments), of the same type and kind as absx, representing the base of the exponentiation.
(optional, default = 2)
Returns
powisint : The output scalar (or array of the same rank, shape, and size as other array-like arguments), of the type logical of default kind LK that is .true. if and only if the input absx is an integer power of the input absx.


Possible calling interfaces

use pm_mathExp, only: isIntPow
logical(LK) :: powisint
powisint = isIntPow(absx)
powisint = isIntPow(absx, base)
Generate and return .true. if and only if the input positive integer is a whole-number (integer) powe...
Definition: pm_mathExp.F90:113
This module contains procedures and generic interfaces for computing the previous/next integer expone...
Definition: pm_mathExp.F90:44
Warning
The condition 0 < absx must hold.
The condition 1 <= base must hold.
These conditions are verified only if the library is built with the preprocessor macro CHECK_ENABLED=1.
The pure procedure(s) documented herein become impure when the ParaMonte library is compiled with preprocessor macro CHECK_ENABLED=1.
By default, these procedures are pure in release build and impure in debug and testing builds.
Remarks
The procedures under discussion are elemental.
See also
isIntPow
getExpNext
getExpPrev


Example usage

1program example
2
3 use pm_kind, only: SK, IK, LK
4 use pm_mathExp, only: isIntPow
5 use pm_io, only: display_type
6
7 implicit none
8
9 integer(IK), allocatable :: expNext(:)
10
11 type(display_type) :: disp
12 disp = display_type(file = "main.out.F90")
13
14 allocate(expNext(1))
15
16 call disp%skip()
17 call disp%show("isIntPow(1)")
18 call disp%show( isIntPow(1) )
19 call disp%show("isIntPow(abs([1, -2, 3, -4, 5, 9, 519]))")
20 call disp%show( isIntPow(abs([1, -2, 3, -4, 5, 9, 519])) )
21 call disp%show("isIntPow(abs([1, -2, 3, -4, 5, 9, 519]), base = 3)")
22 call disp%show( isIntPow(abs([1, -2, 3, -4, 5, 9, 519]), base = 3) )
23 call disp%skip()
24
25end program example
This is a generic method of the derived type display_type with pass attribute.
Definition: pm_io.F90:11726
This is a generic method of the derived type display_type with pass attribute.
Definition: pm_io.F90:11508
This module contains classes and procedures for input/output (IO) or generic display operations on st...
Definition: pm_io.F90:252
type(display_type) disp
This is a scalar module variable an object of type display_type for general display.
Definition: pm_io.F90:11393
This module defines the relevant Fortran kind type-parameters frequently used in the ParaMonte librar...
Definition: pm_kind.F90:268
integer, parameter LK
The default logical kind in the ParaMonte library: kind(.true.) in Fortran, kind(....
Definition: pm_kind.F90:541
integer, parameter IK
The default integer kind in the ParaMonte library: int32 in Fortran, c_int32_t in C-Fortran Interoper...
Definition: pm_kind.F90:540
integer, parameter SK
The default character kind in the ParaMonte library: kind("a") in Fortran, c_char in C-Fortran Intero...
Definition: pm_kind.F90:539
Generate and return an object of type display_type.
Definition: pm_io.F90:10282

Example Unix compile command via Intel ifort compiler
1#!/usr/bin/env sh
2rm main.exe
3ifort -fpp -standard-semantics -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe
4./main.exe

Example Windows Batch compile command via Intel ifort compiler
1del main.exe
2set PATH=..\..\..\lib;%PATH%
3ifort /fpp /standard-semantics /O3 /I:..\..\..\include main.F90 ..\..\..\lib\libparamonte*.lib /exe:main.exe
4main.exe

Example Unix / MinGW compile command via GNU gfortran compiler
1#!/usr/bin/env sh
2rm main.exe
3gfortran -cpp -ffree-line-length-none -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe
4./main.exe

Example output
1
3T
4isIntPow(abs([1, -2, 3, -4, 5, 9, 519]))
5T, T, F, T, F, F, F
6isIntPow(abs([1, -2, 3, -4, 5, 9, 519]), base = 3)
7F, F, T, F, F, T, F
8
9
Test:
test_pm_mathExp


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.
This software is distributed under the MIT license with additional terms outlined below.

  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.
  2. If you regenerate any parts/ideas from this library in a programming environment other than those currently supported by this ParaMonte library (i.e., other than C, C++, Fortran, MATLAB, Python, R), please also ask the end users to cite this original ParaMonte library.

This software is available to the public under a highly permissive license.
Help us justify its continued development and maintenance by acknowledging its benefit to society, distributing it, and contributing to it.

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

Definition at line 113 of file pm_mathExp.F90.


The documentation for this interface was generated from the following file: