ParaMonte Fortran 2.0.0
Parallel Monte Carlo and Machine Learning Library
See the latest version documentation. |
This is the derived type for constructing objects that signify the computation of the Cauchy Principal Value of arbitrary function whose Cauchy singularities is stored in the cs
components of the objects of this type.
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Public Attributes | |
real(RKH) | cs |
The scalar component of type real of kind RKH (the highest (precision) real kind available in the ParaMonte library, representing the point of singularity in the Cauchy weight of an integrand function: \(\frac{1}{x - \ms{cs}}\).More... | |
This is the derived type for constructing objects that signify the computation of the Cauchy Principal Value of arbitrary function whose Cauchy singularities is stored in the cs
components of the objects of this type.
Return an object of type wcauchy_type containing the Cauchy singularity of a weight of the form,.
The Cauchy type of singularity represented by this derived type has the form,
\begin{equation} \frac{1}{(x - c)} ~,~ x \in (\ms{lb}, \ms{ub}) ~,~ \ms{lb} < 0 < \ms{ub} \end{equation}
where \((\ms{lb}, \ms{ub})\) represent the integration bounds.
Objects of this derived type can be passed to the primary integrators of the parent modules of this derived type:
Possible calling interfaces ⛓
pure
.
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.
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.
\begin{equation} \frac{1}{(x - c)} ~,~ x \in (\ms{lb}, \ms{ub}) ~,~ \ms{lb} < 0 < \ms{ub} \end{equation}
where \((\ms{lb}, \ms{ub})\) represent the integration bounds.
cs
component with the highest precision.[in] | cs | : The input scalar of type real of kind any supported by the processor (e.g., RK, RK32, RK64, or RK128), containing the Cauchy singularity. |
wcauchy
: The output scalar object of type wcauchy_type containing the Cauchy singularity.
Possible calling interfaces ⛓
pure
.
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.
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.
Definition at line 193 of file pm_quadPack.F90.
real(RKH) pm_quadPack::wcauchy_type::cs |
The scalar component of type real
of kind RKH (the highest (precision) real kind available in the ParaMonte library, representing the point of singularity in the Cauchy weight of an integrand function: \(\frac{1}{x - \ms{cs}}\).
Definition at line 194 of file pm_quadPack.F90.