pm_distBand::getBandZeta Interface Reference

Generate and return the coefficient of continuity of the Band spectral model/distribution from the Band model parameters: the break energy \(\ebreak\) and the Band model spectral indices \((\alpha, \beta)\).
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Detailed Description

Generate and return the coefficient of continuity of the Band spectral model/distribution from the Band model parameters: the break energy \(\ebreak\) and the Band model spectral indices \((\alpha, \beta)\).

See the documentation of pm_distBand for more information on the Band distribution.
The coefficient of continuity of the Band model makes the Band distribution continuously differentiable and is defined as,

\begin{equation} \large \zeta = \left(\frac{\ebreak}{\kev}\right)^{\alpha - \beta} \exp\left(\beta - \alpha\right) ~. \end{equation}

This factor is required for computing the density function of the Band distribution.

Parameters

[in]	alpha	: The input scalar or array of the same shape as other array-like arguments, of the same type and kind as ebreak, containing the first shape parameter of the distribution.
[in]	beta	: The input scalar or array of the same shape as other array-like arguments, of the same type and kind as ebreak, containing the second shape parameter of the distribution.
[in]	ebreak	: The input scalar or array of the same shape as other array like arguments of type real of kind any supported by the processor (e.g., RK, RK32, RK64, or RK128), containing the normalized (unitless) spectral break energy values: \(\ebreak = \frac{\ebreak}{\kev}\).

Returns

zeta : The output scalar or array of the same shape as any input array-like argument, of the same type and kind as the input argument ebreak, containing the coefficient of continuity of the distribution.

Possible calling interfaces ⛓

use pm_distBand, only: getBandZeta
 
zeta = getBandZeta(alpha, beta, ebreak)

Warning

The condition 0 < ebreak must hold for the corresponding input arguments.
The condition alpha /= -2 must hold for the corresponding input arguments.
The condition beta < alpha must hold for the corresponding input arguments.
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

getBandUDF
setBandUCDF
getBandZeta
getBandEpeak
getBandEbreak

Example usage ⛓

program example
 
    use pm_kind, only: SK, IK
    use pm_distBand, only: getBandZeta
    use pm_io, only: display_type
 
    implicit none
 
    type(display_type) :: disp
    disp = display_type(file = "main.out.F90")
 
    call disp%skip()
    call disp%show("getBandZeta(alpha = -1., beta = -3., ebreak = 300.)")
    call disp%show( getBandZeta(alpha = -1., beta = -3., ebreak = 300.) )
    call disp%skip()
 
    call disp%skip()
    call disp%show("getBandZeta(alpha = -1.5, beta = -2.5, ebreak = 600.)")
    call disp%show( getBandZeta(alpha = -1.5, beta = -2.5, ebreak = 600.) )
    call disp%skip()
 
    call disp%skip()
    call disp%show("getBandZeta(alpha = -1., beta = -2., ebreak = [real :: 100, 200, 300])")
    call disp%show( getBandZeta(alpha = -1., beta = -2., ebreak = [real :: 100, 200, 300]) )
    call disp%skip()
 
end program example

Example Unix compile command via Intel ifort compiler ⛓

#!/usr/bin/env sh
rm main.exe
ifort -fpp -standard-semantics -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe
./main.exe

Example Windows Batch compile command via Intel ifort compiler ⛓

del main.exe
set PATH=..\..\..\lib;%PATH%
ifort /fpp /standard-semantics /O3 /I:..\..\..\include main.F90 ..\..\..\lib\libparamonte*.lib /exe:main.exe
main.exe

Example Unix / MinGW compile command via GNU gfortran compiler ⛓

#!/usr/bin/env sh
rm main.exe
gfortran -cpp -ffree-line-length-none -O3 -Wl,-rpath,../../../lib -I../../../inc main.F90 ../../../lib/libparamonte* -o main.exe
./main.exe

Example output ⛓

 
getBandZeta(alpha = -1., beta = -3., ebreak = 300.)
+12180.1758
 
 
getBandZeta(alpha = -1.5, beta = -2.5, ebreak = 600.)
+220.727676
 
 
getBandZeta(alpha = -1., beta = -2., ebreak = [real :: 100, 200, 300])
+36.7879448, +73.5758896, +110.363838
 
 

Test:

test_pm_distBand

Final Remarks ⛓

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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.

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Copyright

Computational Data Science Lab

Author:

Amir Shahmoradi, Oct 16, 2009, 11:14 AM, Michigan

Definition at line 492 of file pm_distBand.F90.

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

• src/fortran/main/pm_distBand.F90