ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation.
pm_quadTest::int6_type Type Reference

This is the derived type for generating test integrand objects of the following algebraic form. More...

Inheritance diagram for pm_quadTest::int6_type:
Collaboration diagram for pm_quadTest::int6_type:

Public Member Functions

procedure get => getInt6
 
- Public Member Functions inherited from pm_quadTest::integrand_type
procedure(get_proc), deferred get
 The function member returning the value of the unweighted integrand (whether Cauchy/sin/cos/algebraically types of weights) at a specified input point x. More...
 

Additional Inherited Members

- Public Attributes inherited from pm_quadTest::integrand_type
real(RKH) lb
 The scalar of type real of the highest kind supported by the library RKH, containing the lower limit of integration. More...
 
real(RKH) ub
 The scalar of type real of the highest kind supported by the library RKH, containing the upper limit of integration. More...
 
real(RKH) integral
 The scalar of type real of the highest kind supported by the library RKH, containing the true result of integration. More...
 
real(RKH), dimension(:), allocatable break
 The scalar of type real of the highest kind supported by the library RKH, containing the points of difficulties of integration. More...
 
type(wcauchy_type), allocatable wcauchy
 The scalar of type wcauchy_type, containing the Cauchy singularity of the integrand. More...
 
character(:, SK), allocatable desc
 The scalar allocatable character of default kind SK containing a description of the integrand and integration limits and difficulties. More...
 

Detailed Description

This is the derived type for generating test integrand objects of the following algebraic form.

The full integrand is defined as,

\begin{equation} f(x) = \frac{\log(x)}{1 + 100x^2} , x \in (0, +\infty) \end{equation}

with an integral of \(-\pi\frac{\log(10)}{20}\).
This integrand is inspired by the examples of John Burkardt test suite for QAGI routine of QuadPack.


Possible calling interfaces

type(int6_type) :: integrand
integrand = int6_type()
print *, "description: ", integrand%desc
print *, "lower limit: ", integrand%lb
print *, "upper limit: ", integrand%ub
print *, "Example integrand value: ", integrand%get(x)
This module contains a collection of interesting or challenging integrands for testing or examining t...
Definition: pm_quadTest.F90:54
This is the derived type for generating test integrand objects of the following algebraic form.
See also
integrand_type
Test:
test_pm_quadPack


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

Definition at line 706 of file pm_quadTest.F90.

Member Function/Subroutine Documentation

◆ get()

procedure pm_quadTest::int6_type::get

Definition at line 708 of file pm_quadTest.F90.

References pm_kind::RKH.


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