ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation.
pm_mathRootTest::func1_type Type Reference

This is the derived type for generating test function objects of the algebraic form as described below. More...

Inheritance diagram for pm_mathRootTest::func1_type:
Collaboration diagram for pm_mathRootTest::func1_type:

Public Member Functions

procedure get => getFunc1
 
- Public Member Functions inherited from pm_mathRootTest::func_type
procedure(get_proc), deferred get
 

Additional Inherited Members

- Public Attributes inherited from pm_mathRootTest::func_type
real(RKH) lb
 The scalar of type real of the highest kind supported by the processor RKH, containing the lower limit of function. More...
 
real(RKH) ub
 The scalar of type real of the highest kind supported by the processor RKH, containing the upper limit of function. More...
 
real(RKH), dimension(:), allocatable root
 The scalar of type real of the highest kind supported by the processor RKH, containing the true roots of function. More...
 
character(:, SK), allocatable desc
 The scalar allocatable character of default kind SK containing a description of the function and function limits and difficulties. More...
 

Detailed Description

This is the derived type for generating test function objects of the algebraic form as described below.

The full function is defined as,

\begin{equation} f(x) = x (x^2 - 1)(x^2 - 4) ~,~ x \in (\ms{lb}, \ms{ub}) \end{equation}

where the function bounds could be infinities.
The real roots of the function are -2, -1, 0, 1, 2.

Parameters
[in]lb: The input scalar of type real of kind RKH, containing the lower limit of the root search bracket.
(optional, default = -3.)
[in]ub: The input scalar of the same type and kind as lb, containing the upper limit of the root search bracket.
(optional, default = +3.)


Possible calling interfaces

type(func1_type) :: Func
Func = func1_type(lb = lb, ub = ub)
print *, "description: ", Func%desc
print *, "lower search limit: ", Func%lb
print *, "upper search limit: ", Func%ub
print *, "Example function value: ", Func%get(x)
This module contains a collection of example functions for testing or examining the root-finding rout...
This is the derived type for generating test function objects of the algebraic form as described belo...
See also
func_type
Test:
test_pm_quadPack


Final Remarks


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For details on the naming conventions, see this page.
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Author:
Amir Shahmoradi, Oct 16, 2009, 11:14 AM, Michigan

Definition at line 161 of file pm_mathRootTest.F90.

Member Function/Subroutine Documentation

◆ get()

procedure pm_mathRootTest::func1_type::get

Definition at line 163 of file pm_mathRootTest.F90.

References pm_kind::RKH.


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