\hypertarget{classmeow_1_1BallProjection}{\section{meow\-:\-:Ball\-Projection$<$ Scalar $>$ Class Template Reference}
\label{classmeow_1_1BallProjection}\index{meow\-::\-Ball\-Projection$<$ Scalar $>$@{meow\-::\-Ball\-Projection$<$ Scalar $>$}}
}


A ball projection is to project the given vector to a hyper-\/sphere.  




{\ttfamily \#include \char`\"{}Transformations.\-h\char`\"{}}

Inheritance diagram for meow\-:\-:Ball\-Projection$<$ Scalar $>$\-:\begin{figure}[H]
\begin{center}
\leavevmode
\includegraphics[height=2.000000cm]{classmeow_1_1BallProjection}
\end{center}
\end{figure}
\subsection*{Public Member Functions}
\begin{DoxyCompactItemize}
\item 
\hyperlink{classmeow_1_1BallProjection_a1efa5c200a9d5605453b47e3856ccf28}{Ball\-Projection} (\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} const \&b)
\item 
\hyperlink{classmeow_1_1BallProjection_af7e722b66c6bbc7245726902b6849850}{Ball\-Projection} (size\-\_\-t d)
\item 
\hyperlink{classmeow_1_1BallProjection_a9d9d151e138e50c2bb4cd3d039fb0808}{Ball\-Projection} (size\-\_\-t d, Scalar const \&r)
\item 
\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} \& \hyperlink{classmeow_1_1BallProjection_aec71a15af880bdaea8042986c11e2187}{copy\-From} (\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} const \&b)
\begin{DoxyCompactList}\small\item\em Copy settings from another one. \end{DoxyCompactList}\item 
\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} \& \hyperlink{classmeow_1_1BallProjection_adaf8d494c1177664f49bb63a5d2f36b0}{reference\-From} (\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} const \&b)
\begin{DoxyCompactList}\small\item\em Reference settings from another one. \end{DoxyCompactList}\item 
Scalar \hyperlink{classmeow_1_1BallProjection_adf2bcb2f82e9f7e2136b187317ba3211}{parameter} (size\-\_\-t i) const 
\begin{DoxyCompactList}\small\item\em same as {\ttfamily \hyperlink{classmeow_1_1BallProjection_a82416bac8768d0f40fc09e8cd3896bc8}{radius()}} \end{DoxyCompactList}\item 
Scalar \hyperlink{classmeow_1_1BallProjection_a288814dc861482dd70129a698b1a2d7e}{parameter} (size\-\_\-t i, Scalar const \&s)
\begin{DoxyCompactList}\small\item\em same as {\ttfamily radius(s)} \end{DoxyCompactList}\item 
Scalar \hyperlink{classmeow_1_1BallProjection_a82416bac8768d0f40fc09e8cd3896bc8}{radius} () const 
\begin{DoxyCompactList}\small\item\em Return the value of the radius. \end{DoxyCompactList}\item 
Scalar \hyperlink{classmeow_1_1BallProjection_a5e4bbc9cf477002fab2dad6f37e2553c}{radius} (Scalar const \&r)
\begin{DoxyCompactList}\small\item\em Setup the radius. \end{DoxyCompactList}\item 
size\-\_\-t \hyperlink{classmeow_1_1BallProjection_a3eff2f36a83ba683da6bc9bb82699b30}{dimension} () const 
\begin{DoxyCompactList}\small\item\em Get the dimension of this projection. \end{DoxyCompactList}\item 
\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ \hyperlink{classmeow_1_1BallProjection_a2573c364dd1e0d7de32b1e2afc0bb1b5}{transformate} (\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ const \&x) const 
\begin{DoxyCompactList}\small\item\em Project the input vector(s) onto the hyper-\/sphere and return it. \end{DoxyCompactList}\item 
\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ \hyperlink{classmeow_1_1BallProjection_a4fb7773f5566e93435ba56defbb7efc6}{jacobian} (\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ const \&x) const 
\begin{DoxyCompactList}\small\item\em Return the jacobian matrix (derivate by the input vector) of this projection. \end{DoxyCompactList}\item 
\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ \hyperlink{classmeow_1_1BallProjection_ad2d62da97dd4b527c254e62a1ec949d8}{jacobian} (\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ const \&x, size\-\_\-t i) const 
\begin{DoxyCompactList}\small\item\em Return the jacobian matrix (derivate by radius) of this projection. \end{DoxyCompactList}\item 
\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} \& \hyperlink{classmeow_1_1BallProjection_a8e7e0ddd31c51bbaa934f77aee760f18}{operator=} (\hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} const \&b)
\begin{DoxyCompactList}\small\item\em Same as {\ttfamily copy\-From(b)} \end{DoxyCompactList}\item 
\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ \hyperlink{classmeow_1_1BallProjection_a4f2e133f911088b7e13cabc52b3e6b92}{operator()} (\hyperlink{classmeow_1_1Matrix}{Matrix}$<$ Scalar $>$ const \&v) const 
\begin{DoxyCompactList}\small\item\em Same as {\ttfamily transformate(v)} \end{DoxyCompactList}\end{DoxyCompactItemize}
\subsection*{Additional Inherited Members}


\subsection{Detailed Description}
\subsubsection*{template$<$class Scalar$>$class meow\-::\-Ball\-Projection$<$ Scalar $>$}

A ball projection is to project the given vector to a hyper-\/sphere. 

Assume\-:
\begin{DoxyItemize}
\item The dimension of a ball projection is $ N $
\item The radius of the hyper-\/sphere is $ R $
\end{DoxyItemize}Then the transformation is like below\-: \par
 \[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ . \\ . \\ . \\ x_N \\ \end{array} \right] \stackrel{transformate}{\rightarrow} \left[ \begin{array}{c} \frac{x_1 \times R}{L} \\ \frac{x_2 \times R}{L} \\ \frac{x_3 \times R}{L} \\ . \\ . \\ . \\ \frac{x_N \times R}{L} \\ \end{array} \right] \\ \] where $ L=\sqrt{x_1^2 + x_2^2 + x_3^2 + ... + x_N^2 } $ \begin{DoxyAuthor}{Author}
cat\-\_\-leopard 
\end{DoxyAuthor}


\subsection{Constructor \& Destructor Documentation}
\hypertarget{classmeow_1_1BallProjection_a1efa5c200a9d5605453b47e3856ccf28}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!Ball\-Projection@{Ball\-Projection}}
\index{Ball\-Projection@{Ball\-Projection}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{Ball\-Projection}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::{\bf Ball\-Projection} (
\begin{DoxyParamCaption}
\item[{{\bf Ball\-Projection}$<$ Scalar $>$ const \&}]{b}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a1efa5c200a9d5605453b47e3856ccf28}
Constructor, copy settings from given \hyperlink{classmeow_1_1BallProjection}{Ball\-Projection} 
\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em b} & another ball projection class \\
\hline
\end{DoxyParams}
\hypertarget{classmeow_1_1BallProjection_af7e722b66c6bbc7245726902b6849850}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!Ball\-Projection@{Ball\-Projection}}
\index{Ball\-Projection@{Ball\-Projection}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{Ball\-Projection}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::{\bf Ball\-Projection} (
\begin{DoxyParamCaption}
\item[{size\-\_\-t}]{d}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_af7e722b66c6bbc7245726902b6849850}
Constructor and setup, radius = 1 
\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em d} & Dimension of the input/output vector \\
\hline
\end{DoxyParams}
\hypertarget{classmeow_1_1BallProjection_a9d9d151e138e50c2bb4cd3d039fb0808}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!Ball\-Projection@{Ball\-Projection}}
\index{Ball\-Projection@{Ball\-Projection}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{Ball\-Projection}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::{\bf Ball\-Projection} (
\begin{DoxyParamCaption}
\item[{size\-\_\-t}]{d, }
\item[{Scalar const \&}]{r}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a9d9d151e138e50c2bb4cd3d039fb0808}
Constructor and setup 
\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em d} & Dimension of the input/output vector \\
\hline
\mbox{\tt in}  & {\em r} & Radius of the hyper-\/sphere \\
\hline
\end{DoxyParams}


\subsection{Member Function Documentation}
\hypertarget{classmeow_1_1BallProjection_aec71a15af880bdaea8042986c11e2187}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!copy\-From@{copy\-From}}
\index{copy\-From@{copy\-From}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{copy\-From}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Ball\-Projection}\& {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::copy\-From (
\begin{DoxyParamCaption}
\item[{{\bf Ball\-Projection}$<$ Scalar $>$ const \&}]{b}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_aec71a15af880bdaea8042986c11e2187}


Copy settings from another one. 


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em b} & Another one \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
{\ttfamily $\ast$this} 
\end{DoxyReturn}
\hypertarget{classmeow_1_1BallProjection_a3eff2f36a83ba683da6bc9bb82699b30}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!dimension@{dimension}}
\index{dimension@{dimension}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{dimension}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ size\-\_\-t {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::dimension (
\begin{DoxyParamCaption}
{}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a3eff2f36a83ba683da6bc9bb82699b30}


Get the dimension of this projection. 

\hypertarget{classmeow_1_1BallProjection_a4fb7773f5566e93435ba56defbb7efc6}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!jacobian@{jacobian}}
\index{jacobian@{jacobian}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{jacobian}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Matrix}$<$Scalar$>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::jacobian (
\begin{DoxyParamCaption}
\item[{{\bf Matrix}$<$ Scalar $>$ const \&}]{x}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [virtual]}}}\label{classmeow_1_1BallProjection_a4fb7773f5566e93435ba56defbb7efc6}


Return the jacobian matrix (derivate by the input vector) of this projection. 

This method only allow a vector-\/like matrix be input. Assume\-:
\begin{DoxyItemize}
\item The dimension of a ball projection is $ N $
\item The length of the input vector is $ L=\sqrt{x_1^2+x_2^2+...+x_N^2} $
\item The radius of the hyper-\/sphere is $ R $
\end{DoxyItemize}Then the jacobian matrix is like below\-: \par
 \[ \frac{R}{L^3} \times \left[ \begin{array}{ccccc} L^2-x_1^2 & -x_1x_2 & -x_1x_3 & ... & -x_1x_N \\ -x_2x_1 & L^2-x_2^2 & -x_2x_3 & ... & -x_2x_N \\ -x_3x_1 & -x_3x_2 & L^2-x_3^2 & ... & -x_3x_N \\ . & . & . & & . \\ . & . & . & & . \\ . & . & . & & . \\ -x_Nx_1 & -x_Nx_2 & -x_Nx_3 & ... & L^2-x_N^2 \\ \end{array} \right] \]


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em x} & The input matrix. \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
The output matrix. 
\end{DoxyReturn}


Reimplemented from \hyperlink{classmeow_1_1Transformation_a97b459877b4e508193071fa166a126c9}{meow\-::\-Transformation$<$ Scalar $>$}.

\hypertarget{classmeow_1_1BallProjection_ad2d62da97dd4b527c254e62a1ec949d8}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!jacobian@{jacobian}}
\index{jacobian@{jacobian}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{jacobian}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Matrix}$<$Scalar$>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::jacobian (
\begin{DoxyParamCaption}
\item[{{\bf Matrix}$<$ Scalar $>$ const \&}]{x, }
\item[{size\-\_\-t}]{i}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [virtual]}}}\label{classmeow_1_1BallProjection_ad2d62da97dd4b527c254e62a1ec949d8}


Return the jacobian matrix (derivate by radius) of this projection. 

This method only allow a vector-\/like matrix be input. Assume\-:
\begin{DoxyItemize}
\item The dimension of a ball projection is $ N $
\item The length of the input vector is $ L=\sqrt{x_1^2+x_2^2+...+x_N^2} $
\item The radius of the hyper-\/sphere is $ R $
\end{DoxyItemize}Then the jacobian matrix is like below\-: \par
 \[ R \times \left[ \begin{array}{c} \frac{x_1}{L} \\ \frac{x_2}{L} \\ \frac{x_3}{L} \\ . \\ . \\ . \\ \frac{x_N}{L} \\ \end{array} \right] \]


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em x} & The input matrix. \\
\hline
\mbox{\tt in}  & {\em i} & Useless parameter \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
The output matrix. 
\end{DoxyReturn}


Reimplemented from \hyperlink{classmeow_1_1Transformation_a18590a4501b79a9ad38eb8fa3c966eb8}{meow\-::\-Transformation$<$ Scalar $>$}.

\hypertarget{classmeow_1_1BallProjection_a4f2e133f911088b7e13cabc52b3e6b92}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!operator()@{operator()}}
\index{operator()@{operator()}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{operator()}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Matrix}$<$Scalar$>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::operator() (
\begin{DoxyParamCaption}
\item[{{\bf Matrix}$<$ Scalar $>$ const \&}]{v}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a4f2e133f911088b7e13cabc52b3e6b92}


Same as {\ttfamily transformate(v)} 

\hypertarget{classmeow_1_1BallProjection_a8e7e0ddd31c51bbaa934f77aee760f18}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!operator=@{operator=}}
\index{operator=@{operator=}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{operator=}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Ball\-Projection}\& {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::operator= (
\begin{DoxyParamCaption}
\item[{{\bf Ball\-Projection}$<$ Scalar $>$ const \&}]{b}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a8e7e0ddd31c51bbaa934f77aee760f18}


Same as {\ttfamily copy\-From(b)} 

\hypertarget{classmeow_1_1BallProjection_adf2bcb2f82e9f7e2136b187317ba3211}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!parameter@{parameter}}
\index{parameter@{parameter}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{parameter}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ Scalar {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::parameter (
\begin{DoxyParamCaption}
\item[{size\-\_\-t}]{i}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [virtual]}}}\label{classmeow_1_1BallProjection_adf2bcb2f82e9f7e2136b187317ba3211}


same as {\ttfamily \hyperlink{classmeow_1_1BallProjection_a82416bac8768d0f40fc09e8cd3896bc8}{radius()}} 



Implements \hyperlink{classmeow_1_1Transformation_a09e71e5af508d7c0e09fdbeaacbe4365}{meow\-::\-Transformation$<$ Scalar $>$}.

\hypertarget{classmeow_1_1BallProjection_a288814dc861482dd70129a698b1a2d7e}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!parameter@{parameter}}
\index{parameter@{parameter}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{parameter}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ Scalar {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::parameter (
\begin{DoxyParamCaption}
\item[{size\-\_\-t}]{i, }
\item[{Scalar const \&}]{s}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [virtual]}}}\label{classmeow_1_1BallProjection_a288814dc861482dd70129a698b1a2d7e}


same as {\ttfamily radius(s)} 



Implements \hyperlink{classmeow_1_1Transformation_a2a90b93490712232b81a628b5057526f}{meow\-::\-Transformation$<$ Scalar $>$}.

\hypertarget{classmeow_1_1BallProjection_a82416bac8768d0f40fc09e8cd3896bc8}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!radius@{radius}}
\index{radius@{radius}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{radius}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ Scalar {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::radius (
\begin{DoxyParamCaption}
{}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a82416bac8768d0f40fc09e8cd3896bc8}


Return the value of the radius. 

\hypertarget{classmeow_1_1BallProjection_a5e4bbc9cf477002fab2dad6f37e2553c}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!radius@{radius}}
\index{radius@{radius}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{radius}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ Scalar {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::radius (
\begin{DoxyParamCaption}
\item[{Scalar const \&}]{r}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_a5e4bbc9cf477002fab2dad6f37e2553c}


Setup the radius. 


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em r} & New value of the radius \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
New radius 
\end{DoxyReturn}
\hypertarget{classmeow_1_1BallProjection_adaf8d494c1177664f49bb63a5d2f36b0}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!reference\-From@{reference\-From}}
\index{reference\-From@{reference\-From}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{reference\-From}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Ball\-Projection}\& {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::reference\-From (
\begin{DoxyParamCaption}
\item[{{\bf Ball\-Projection}$<$ Scalar $>$ const \&}]{b}
\end{DoxyParamCaption}
)\hspace{0.3cm}{\ttfamily [inline]}}}\label{classmeow_1_1BallProjection_adaf8d494c1177664f49bb63a5d2f36b0}


Reference settings from another one. 


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em b} & Another one \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
{\ttfamily $\ast$this} 
\end{DoxyReturn}
\hypertarget{classmeow_1_1BallProjection_a2573c364dd1e0d7de32b1e2afc0bb1b5}{\index{meow\-::\-Ball\-Projection@{meow\-::\-Ball\-Projection}!transformate@{transformate}}
\index{transformate@{transformate}!meow::BallProjection@{meow\-::\-Ball\-Projection}}
\subsubsection[{transformate}]{\setlength{\rightskip}{0pt plus 5cm}template$<$class Scalar $>$ {\bf Matrix}$<$Scalar$>$ {\bf meow\-::\-Ball\-Projection}$<$ Scalar $>$\-::transformate (
\begin{DoxyParamCaption}
\item[{{\bf Matrix}$<$ Scalar $>$ const \&}]{x}
\end{DoxyParamCaption}
) const\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [virtual]}}}\label{classmeow_1_1BallProjection_a2573c364dd1e0d7de32b1e2afc0bb1b5}


Project the input vector(s) onto the hyper-\/sphere and return it. 

If the number of columns of the input matrix is larger than 1, this method will think that you want to transform multiple vector once and the number of columns of the output matrix will be the same of the number of columns of the input one.


\begin{DoxyParams}[1]{Parameters}
\mbox{\tt in}  & {\em x} & The input matrix. \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
The output matrix. 
\end{DoxyReturn}
\begin{DoxyNote}{Note}
Take into account that too much safty checking will lead to inefficient, this method will not checking whether the dimension of the input vector/matrix is right. So be sure the data is valid before you call this method. 
\end{DoxyNote}


Implements \hyperlink{classmeow_1_1Transformation_aa0c299b9ad13020a9eb460de01378ddc}{meow\-::\-Transformation$<$ Scalar $>$}.



The documentation for this class was generated from the following file\-:\begin{DoxyCompactItemize}
\item 
meowpp/math/\hyperlink{Transformations_8h}{Transformations.\-h}\end{DoxyCompactItemize}
