Ajout du code Kernel testConvergence

[kahina_paper1.git] / maj.tex

diff --git a/maj.tex b/maj.tex
index c5a0bebe3c8e46fdac9c03faf99cdfa109d3504d..2b24a34278f628c98173d09c8007ed2d2df7fb95 100644 (file)
--- a/maj.tex
+++ b/maj.tex
@@ -740,8 +740,7 @@ function Eq.~\ref{Eq:Hi} is executed, else the EA.EL function Eq.~\ref{Log_H2} i
 \end{itemize}
 
 
 \end{itemize}
 
 

-\KG{Listing ~\ref{lst:01} shows the main kernel of the iterative function
-shows the a simplified version of second kernel
+\KG{Listing ~\ref{lst:01} shows a simplified version of second kernel

 code (some parameters in the kernels have been simplified in order to
 increase the readability). As can be seen this
 kernel calls multiple kernels, all the kernels for complex numbers and
 code (some parameters in the kernels have been simplified in order to
 increase the readability). As can be seen this
 kernel calls multiple kernels, all the kernels for complex numbers and


@@ -763,17 +762,21 @@ This kernel is executed by a large number of GPU threads such that each thread i
 \[ Blocks=\frac{N+Threads-1}{Threads}, N: Polynomial size \]
 %$ Blocks=\frac{N+Threads-1}{Threads}, N: Polynomial size$
 
 \[ Blocks=\frac{N+Threads-1}{Threads}, N: Polynomial size \]
 %$ Blocks=\frac{N+Threads-1}{Threads}, N: Polynomial size$
 

-Each GPU threads in grid compute one root en parallel, if the polynomial size exceed the capacity of the grid the G.S schema are finely executed, like the grid can only compute << Blocks,Threads>> roots at the same time, if we ned to compute more roots, the grid can used the roots previously executed to compute other root ih the same iteration, like the following schema:
+Each GPU threads in grid compute one root en parallel, if the polynomial size exceed the capacity of the grid the G.S schema are finely executed, like the grid can only compute << Blocks,Threads>> roots at the same time, if we need to compute more roots, the grid can used the roots previously executed to compute other root ih the same iteration, like the following schema:
+
+%\begin{figure}[htbp]
+%\centering
+ % \includegraphics[width=0.8\textwidth]{figures/G.S}
+%\caption{Gauss Seidel iteration}
+%\label{fig:08}

 
 

-\begin{figure}[htbp]
-\centering
-  \includegraphics[width=0.8\textwidth]{figures/G.S}
-\caption{Gauss Seidel iteration}
-\label{fig:08}

 
 

-The kernel are executed from << DimGrid, DimBlock>>, 

 The last kernel checks the convergence of the roots after each update
 of $Z^{k}$, according to formula Eq.~\ref{eq:Aberth-Conv-Cond}. We used the functions of the CUBLAS Library (CUDA Basic Linear Algebra Subroutines) to implement this kernel. 
 The last kernel checks the convergence of the roots after each update
 of $Z^{k}$, according to formula Eq.~\ref{eq:Aberth-Conv-Cond}. We used the functions of the CUBLAS Library (CUDA Basic Linear Algebra Subroutines) to implement this kernel. 

+This listing  shows the kernel \textit{TestConvergence} code
+ \begin{footnotesize}
+\lstinputlisting[label=lst:01,caption=Kernel to test the convergence of the roots]{code1.c}
+\end{footnotesize}

 
 The kernel terminates its computations when all the roots have
 converged. It should be noticed that, as blocks of threads are
 
 The kernel terminates its computations when all the roots have
 converged. It should be noticed that, as blocks of threads are