\section{Spherical\+Kernel Class Reference} \label{classmlpack_1_1kernel_1_1SphericalKernel}\index{Spherical\+Kernel@{Spherical\+Kernel}} The spherical kernel, which is 1 when the distance between the two argument points is less than or equal to the bandwidth, or 0 otherwise. \subsection*{Public Member Functions} \begin{DoxyCompactItemize} \item \textbf{ Spherical\+Kernel} (const double bandwidth=1.\+0) \begin{DoxyCompactList}\small\item\em Construct the \doxyref{Spherical\+Kernel}{p.}{classmlpack_1_1kernel_1_1SphericalKernel} with the given bandwidth. \end{DoxyCompactList}\item {\footnotesize template$<$typename Vec\+TypeA , typename Vec\+TypeB $>$ }\\double \textbf{ Convolution\+Integral} (const Vec\+TypeA \&a, const Vec\+TypeB \&b) const \begin{DoxyCompactList}\small\item\em Obtains the convolution integral [integral K($\vert$$\vert$x-\/a$\vert$$\vert$)K($\vert$$\vert$b-\/x$\vert$$\vert$)dx] for the two vectors. \end{DoxyCompactList}\item {\footnotesize template$<$typename Vec\+TypeA , typename Vec\+TypeB $>$ }\\double \textbf{ Evaluate} (const Vec\+TypeA \&a, const Vec\+TypeB \&b) const \begin{DoxyCompactList}\small\item\em Evaluate the spherical kernel with the given two vectors. \end{DoxyCompactList}\item double \textbf{ Evaluate} (const double t) const \begin{DoxyCompactList}\small\item\em Evaluate the kernel when only a distance is given, not two points. \end{DoxyCompactList}\item double \textbf{ Gradient} (double t) \item double \textbf{ Normalizer} (size\+\_\+t dimension) const \item {\footnotesize template$<$typename Archive $>$ }\\void \textbf{ serialize} (Archive \&ar, const unsigned int) \begin{DoxyCompactList}\small\item\em Serialize the object. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection{Detailed Description} The spherical kernel, which is 1 when the distance between the two argument points is less than or equal to the bandwidth, or 0 otherwise. Definition at line 23 of file spherical\+\_\+kernel.\+hpp. \subsection{Constructor \& Destructor Documentation} \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_af1adb8ad3b56cf32b9800d2d842d3c8d}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!Spherical\+Kernel@{Spherical\+Kernel}} \index{Spherical\+Kernel@{Spherical\+Kernel}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{Spherical\+Kernel()} {\footnotesize\ttfamily \textbf{ Spherical\+Kernel} (\begin{DoxyParamCaption}\item[{const double}]{bandwidth = {\ttfamily 1.0} }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Construct the \doxyref{Spherical\+Kernel}{p.}{classmlpack_1_1kernel_1_1SphericalKernel} with the given bandwidth. Definition at line 29 of file spherical\+\_\+kernel.\+hpp. \subsection{Member Function Documentation} \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_a9bcc650e49c4b0578d4eb5a62810622a}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!Convolution\+Integral@{Convolution\+Integral}} \index{Convolution\+Integral@{Convolution\+Integral}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{Convolution\+Integral()} {\footnotesize\ttfamily double Convolution\+Integral (\begin{DoxyParamCaption}\item[{const Vec\+TypeA \&}]{a, }\item[{const Vec\+TypeB \&}]{b }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Obtains the convolution integral [integral K($\vert$$\vert$x-\/a$\vert$$\vert$)K($\vert$$\vert$b-\/x$\vert$$\vert$)dx] for the two vectors. \begin{DoxyTemplParams}{Template Parameters} {\em Vec\+TypeA} & Type of first vector (arma\+::vec, arma\+::sp\+\_\+vec should be expected). \\ \hline {\em Vec\+TypeB} & Type of second vector. \\ \hline \end{DoxyTemplParams} \begin{DoxyParams}{Parameters} {\em a} & First vector. \\ \hline {\em b} & Second vector. \\ \hline \end{DoxyParams} \begin{DoxyReturn}{Returns} the convolution integral value. \end{DoxyReturn} Definition at line 62 of file spherical\+\_\+kernel.\+hpp. References L\+Metric$<$ T\+Power, T\+Take\+Root $>$\+::\+Evaluate(), Log\+::\+Fatal, and Spherical\+Kernel\+::\+Normalizer(). \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_a84c3aeba25ea7703bd2d4f85a54301da}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!Evaluate@{Evaluate}} \index{Evaluate@{Evaluate}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{Evaluate()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily double Evaluate (\begin{DoxyParamCaption}\item[{const Vec\+TypeA \&}]{a, }\item[{const Vec\+TypeB \&}]{b }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Evaluate the spherical kernel with the given two vectors. \begin{DoxyTemplParams}{Template Parameters} {\em Vec\+TypeA} & Type of first vector. \\ \hline {\em Vec\+TypeB} & Type of second vector. \\ \hline \end{DoxyTemplParams} \begin{DoxyParams}{Parameters} {\em a} & First vector. \\ \hline {\em b} & Second vector. \\ \hline \end{DoxyParams} \begin{DoxyReturn}{Returns} The kernel evaluation between the two vectors. \end{DoxyReturn} Definition at line 44 of file spherical\+\_\+kernel.\+hpp. References L\+Metric$<$ T\+Power, T\+Take\+Root $>$\+::\+Evaluate(). \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_a031ed73efe13c6e6bc805006bd249238}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!Evaluate@{Evaluate}} \index{Evaluate@{Evaluate}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{Evaluate()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily double Evaluate (\begin{DoxyParamCaption}\item[{const double}]{t }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Evaluate the kernel when only a distance is given, not two points. \begin{DoxyParams}{Parameters} {\em t} & Argument to kernel. \\ \hline \end{DoxyParams} Definition at line 99 of file spherical\+\_\+kernel.\+hpp. \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_af4d3d89832c78fff51f19ae81c720011}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!Gradient@{Gradient}} \index{Gradient@{Gradient}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{Gradient()} {\footnotesize\ttfamily double Gradient (\begin{DoxyParamCaption}\item[{double}]{t }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Definition at line 103 of file spherical\+\_\+kernel.\+hpp. \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_a945f6339551eba9cf1164a84899a5427}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!Normalizer@{Normalizer}} \index{Normalizer@{Normalizer}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{Normalizer()} {\footnotesize\ttfamily double Normalizer (\begin{DoxyParamCaption}\item[{size\+\_\+t}]{dimension }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Definition at line 88 of file spherical\+\_\+kernel.\+hpp. References M\+\_\+\+PI. Referenced by Spherical\+Kernel\+::\+Convolution\+Integral(). \mbox{\label{classmlpack_1_1kernel_1_1SphericalKernel_af0dd9205158ccf7bcfcd8ff81f79c927}} \index{mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}!serialize@{serialize}} \index{serialize@{serialize}!mlpack\+::kernel\+::\+Spherical\+Kernel@{mlpack\+::kernel\+::\+Spherical\+Kernel}} \subsubsection{serialize()} {\footnotesize\ttfamily void serialize (\begin{DoxyParamCaption}\item[{Archive \&}]{ar, }\item[{const unsigned}]{int }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Serialize the object. Definition at line 110 of file spherical\+\_\+kernel.\+hpp. The documentation for this class was generated from the following file\+:\begin{DoxyCompactItemize} \item /var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/3.\+3.\+0/src/mlpack/core/kernels/\textbf{ spherical\+\_\+kernel.\+hpp}\end{DoxyCompactItemize}