From cfd82bbfb39a9364876ec4ae2e03ec4877c7cda1 Mon Sep 17 00:00:00 2001
From: Kahina <kahina@kahina-VPCEH3K1E.(none)>
Date: Fri, 23 Oct 2015 11:18:24 +0200
Subject: [PATCH] =?utf8?q?MAJ=20des=20figures=201,2,3=20une=20nouvelle=20f?=
 =?utf8?q?igure=204=20non=20terminer=20=C3=A0=20causes=20des=20tests?=
MIME-Version: 1.0
Content-Type: text/plain; charset=utf8
Content-Transfer-Encoding: 8bit

---
 figures/EA_DK.pdf  | Bin 0 -> 7714 bytes
 figures/EA_DK.plot |  21 +++++++++++++++++++
 figures/EA_DK.txt  |  50 +++++++++++++++++++++++++++++++++++++++++++++
 paper.tex          |  29 ++++++++++++--------------
 4 files changed, 84 insertions(+), 16 deletions(-)
 create mode 100644 figures/EA_DK.pdf
 create mode 100644 figures/EA_DK.plot
 create mode 100644 figures/EA_DK.txt

diff --git a/figures/EA_DK.pdf b/figures/EA_DK.pdf
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diff --git a/figures/EA_DK.plot b/figures/EA_DK.plot
new file mode 100644
index 0000000..31436ba
--- /dev/null
+++ b/figures/EA_DK.plot
@@ -0,0 +1,21 @@
+# Analysis description 
+set encoding iso_8859_1
+set terminal x11
+set size 1,0.5
+set term postscript enhanced portrait "Helvetica" 12
+
+set ylabel "execution times (in s)" 
+set xlabel "polynomial's degree" 
+set logscale x
+set logscale y
+
+#set key on outside left bmargin
+set style line 1 lc rgb '#0060ad' lt 1 lw 2 pt 1 ps 1.5   # --- blue
+set style line 3 lc rgb '#dd181f' lt 1 lw 2 pt 1 ps 1.5   # --- red
+
+set style line 2 lc rgb '#dd181f' lt 1 lw 2 pt 5 ps 1.5   # --- red
+plot  'EA_DK.txt'index 0 using 1:2 t "EA with sparse polynomials"      with linespoints ls 1,\
+ 'EA_DK.txt'index 1 using 1:2 t "DK with sparse polynomials"      with linespoints ls 3
+
+
+
diff --git a/figures/EA_DK.txt b/figures/EA_DK.txt
new file mode 100644
index 0000000..e20822a
--- /dev/null
+++ b/figures/EA_DK.txt
@@ -0,0 +1,50 @@
+# First data block (index 0)
+#EA		sparse				full			   			
+#Taille_Poly	times		nb iter		times		nb iter				
+5000		0.40		17
+50000		3.92		17 		1407.24		29   		
+100000		12.45		16		1459.35		31			
+150000          28.67		17		754.24		27			
+200000		40		23		718.623		27			
+250000		93.76 		20		715.554		27			
+300000		138.94		21		1089.61		27			
+350000		159.65		18		1746.53		22			
+400000		258.91		22 		3112		20			
+450000		339.47		23
+500000		419.78		23
+550000		415.94		19
+600000		549.70		21
+650000		612.12		20
+700000		864.21		24
+750000		940.87		23
+800000		1247.16		26
+850000		1702.12		32
+900000		1803.17		30
+950000		2280.07		34
+1000000		2400.51		30
+
+# Second data block (index 1)
+
+#DK		sparse				full					
+		times		nb iter		times       nb iter		
+5000		3.42		138   		8.61	    16
+50000		385.266		823		9.27	    19
+100000		447.364		408		7.73	    15
+150000		1524.08		552		8.64	    21
+200000		3.92233 	17		7.84	    16
+250000		1958.24		348		11.33	    18
+300000		12.3981		21		20.47	    21
+350000		23.813		21		35.07	    26
+400000
+450000
+500000
+550000
+600000
+650000
+700000
+750000
+800000
+850000
+900000
+950000
+1000000
diff --git a/paper.tex b/paper.tex
index 9897244..b9ed2ff 100644
--- a/paper.tex
+++ b/paper.tex
@@ -4,6 +4,7 @@
 %%\usepackage[utf8]{inputenc}
 %%\usepackage[T1]{fontenc}
 %%\usepackage[french]{babel}
+\usepackage{float} 
 \usepackage{amsmath,amsfonts,amssymb}
 \usepackage[ruled,vlined]{algorithm2e}
 %\usepackage[french,boxed,linesnumbered]{algorithm2e}
@@ -588,7 +589,6 @@ We study two forms of  polynomials the sparse polynomials and the full polynomia
 \begin{equation}
 	\forall \alpha_{1} \alpha_{2} \in C,\forall n_{1},n_{2} \in N^{*}; P(z)= (z^{n_{1}}-\alpha_{1})(z^{n_{2}}-\alpha_{2})
 \end{equation}
-
 This form makes it possible to associate roots having two
 different modules and thus to work on a polynomial constitute
 of four non zero terms.
@@ -636,7 +636,7 @@ We initially carried out the convergence of Aberth algorithm with various sizes
 %	\label{tab:theConvergenceOfAberthAlgorithm}
 %\end{table}
  
-\begin{figure}[htbp]
+\begin{figure}[H]
 \centering
   \includegraphics[width=0.8\textwidth]{figures/Compar_EA_algorithm_CPU_GPU}
 \caption{Aberth algorithm on CPU and GPU}
@@ -665,14 +665,15 @@ We initially carried out the convergence of Aberth algorithm with various sizes
 %\end{table}
 
 
-\begin{figure}[htbp]
+\begin{figure}[H]
 \centering
   \includegraphics[width=0.8\textwidth]{figures/influence_nb_threads}
 \caption{Influence of the number of threads on the execution times of different polynomials (sparse and full)}
 \label{fig:01}
 \end{figure}
 
-\begin{figure}[htbp]
+\subsubsection{The impact of exp-log solution to compute very high degrees of  polynomial}
+\begin{figure}[H]
 \centering
   \includegraphics[width=0.8\textwidth]{figures/log_exp}
 \caption{The impact of exp-log solution to compute very high degrees of  polynomial.}
@@ -680,18 +681,14 @@ We initially carried out the convergence of Aberth algorithm with various sizes
 \end{figure}
 
 \subsubsection{A comparative study between Aberth and Durand-kerner algorithm}
-\begin{table}[htbp]
-	\centering
-		\begin{tabular} {|R{2cm}|L{2.5cm}|L{2.5cm}|L{1.5cm}|L{1.5cm}|}
-			\hline Polynomial's degrees & Aberth $T_{exe}$ & D-Kerner $T_{exe}$ & Aberth iteration & D-Kerner iteration\\
-			\hline 5000 &  0.40 & 3.42 & 17 & 138 \\
-			\hline 50000 & 3.92 & 385.266 & 17 & 823\\
-			\hline 500000 & 497.109 & 4677.36 & 24 & 214\\
-			\hline					
-					\end{tabular}
-	\caption{Aberth algorithm compare to Durand-Kerner algorithm}
-	\label{tab:AberthAlgorithCompareToDurandKernerAlgorithm}
-\end{table}
+
+
+\begin{figure}[H]
+\centering
+  \includegraphics[width=0.8\textwidth]{figures/EA_DK}
+\caption{Ehrlisch-Aberth and Durand-Kerner algorithm on GPU}
+\label{fig:01}
+\end{figure}
 
 
 \bibliography{mybibfile}
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