From be8d72338a51aede7f168380e8caaeb2a256a579 Mon Sep 17 00:00:00 2001
From: Enzo De Carvalho Bittencourt <enzo.decarvalhobittencourt@ensiie.eu>
Date: Mon, 11 Dec 2023 20:06:51 +0100
Subject: [PATCH] updated report

---
 MonteCarlo/rapport/rendu.pdf        | Bin 0 -> 180054 bytes
 Normal/rapport/rendu.pdf            | Bin 0 -> 1317252 bytes
 README.md                           |   9 ++++
 Sequences/main.py                   |   4 +-
 Sequences/rapport/rendu.aux         |  13 +-----
 Sequences/rapport/rendu.fdb_latexmk |  27 ++++-------
 Sequences/rapport/rendu.fls         |  26 +----------
 Sequences/rapport/rendu.log         |  32 ++++---------
 Sequences/rapport/rendu.out         |   3 --
 Sequences/rapport/rendu.pdf         | Bin 0 -> 19512 bytes
 Sequences/rapport/rendu.synctex.gz  | Bin 6132 -> 2668 bytes
 Sequences/rapport/rendu.tex         |  69 +---------------------------
 rendu.pdf                           | Bin 0 -> 1561568 bytes
 13 files changed, 32 insertions(+), 151 deletions(-)
 create mode 100644 MonteCarlo/rapport/rendu.pdf
 create mode 100644 Normal/rapport/rendu.pdf
 create mode 100644 Sequences/rapport/rendu.pdf
 create mode 100644 rendu.pdf

diff --git a/MonteCarlo/rapport/rendu.pdf b/MonteCarlo/rapport/rendu.pdf
new file mode 100644
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diff --git a/README.md b/README.md
index 7855347..f5529a2 100644
--- a/README.md
+++ b/README.md
@@ -2,3 +2,12 @@ Ce dossier contient les projets de SIGI (Simulations Informatiques et
 Gestions des Incertitudes)
 
 contact : enzo.decarvalhobittencourt@ensiie.eu
+
+dépendances (disponibles sur pip):
+    - numpy
+    - seaborn
+    - matplotlib
+
+Pour lancer les différents calculs :
+- Pour chaque projet, se placer dans le dossier et éxecuter le main.py
+(`python3 main.py`)
diff --git a/Sequences/main.py b/Sequences/main.py
index c61a012..fb63bdb 100644
--- a/Sequences/main.py
+++ b/Sequences/main.py
@@ -145,8 +145,8 @@ if __name__ == "__main__":
  
     jobs = [  
         #[j_testVenDerMany,[]],
-        #[j_testVenDerManyD,[]],
-        [j_MonteCarlo,[]] 
+        [j_testVenDerManyD,[]],
+        #[j_MonteCarlo,[]] 
     ]
 
 
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index 5c9a6a5..5f97655 100644
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+++ b/Sequences/rapport/rendu.aux
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diff --git a/Sequences/rapport/rendu.synctex.gz b/Sequences/rapport/rendu.synctex.gz
index ccbd8adafafd3d49e5f5b6abe8145d27863aa79d..df277787c5f4b276d3cbf9df49ee0d9a7c5452f7 100644
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diff --git a/Sequences/rapport/rendu.tex b/Sequences/rapport/rendu.tex
index 29050f7..f16dc41 100644
--- a/Sequences/rapport/rendu.tex
+++ b/Sequences/rapport/rendu.tex
@@ -80,7 +80,7 @@
 
 \title{\center{
 		{\small Simulation Informatique et Gestion des Incertitudes\\} 
-		Méthode de Monte Carlo
+		 Suite à discrépance faible
 	}}
 \author{Enzo DE CARVALHO}
 \date{}
@@ -92,71 +92,6 @@ d'Incertitudes sur la loi normale. Le but est ici de travailler sur la méthode
 de Monte Carlo, mesurer son erreur et son intervalle de confiance. 
 Pour cela, nous utilisons ici \textit{Python}. Le code sur lequel ce rendu 
 s'appuie est mis à dispositions dans le dossier
-\texttt{MonteCarlo} du dêpot git sur
+\texttt{Sequence} du dêpot git sur
 \hyperlink{https://git.iiens.net/de-carva2021/SIGI/}{\texttt{https://git.iiens.net/de-carva2021/SIGI/}} 
-
-\section{Calcul d'intégrales}
-Le but est ici de calculer l'intégrale $J$ :
-$$ J = \int_{0.1}^{0.9}  \frac{1}{2}e^{\arcsin(x)} \frac{x}{\sqrt{1-x^2}}dx $$
-\`A partir de différentes méthode numérique, et de comparer les résultats
-obtenus, et la convergence des méthodes.
-
-On comparera nos résultats avec une solution analytique, cacluler à l'aide de
-cette expression :
-{\center
-\texttt{ I =  .25*(np.exp(np.arcsin(.9))*(.9 - np.sqrt(0.19)) 
-\\+ np.exp(np.arcsin(.1))*(np.sqrt(0.99) - 0.1))}\\
-}
-(\texttt{np} faisant ici référence au paquet
-\texttt{numpy} de python.)
- 
-\subsection{Méthode de Quadrature}
-On opte pour une méthode des rectangles (intégrale de Riemann), puis pour une
-méthode des trapèzes. On trace ensuite l'évolution de l'erreur (différence) 
-entre les intégrales obtenues de cette manière avec la solution I 
-[\ref{fig:tra}], [\ref{fig:rec}].
-
-On note que ces méthodes converge de manière inverse.
-
-\begin{figure} 
-	\centering 
-	\includegraphics
-	{figures/Error_evolution_of_jQuadrature_rect_by_number_of_points.png} 
-	\caption{\'Evolution de l'erreur par la méthode des rectangles} 
-	\label{fig:rec} 
-\end{figure}
-
-\begin{figure} 
-	\centering 
-	\includegraphics
-	{figures/Error_evolution_of_jQuadrature_trap_by_number_of_points.png} 
-	\caption{\'Evolution de l'erreur par la méthode des trapèzes} 
-	\label{fig:tra} 
-\end{figure}
-
-
-\subsection{Méthode de MonteCarlo}
-Pour la méthode de MonteCarlo, on tire N valeurs aléatoires entre 0.1 et 0.9,
-sur lequels ensuite l'on calcule leurs images par la fonction à intégrer, et
-l'on multiplie la somme de ces résultats par $\frac{0.9 - 0.1}{N}$. L'on note
-que les résultats obtenus convergent beaucoup moins vite.
-\begin{figure} 
-	\centering 
-	\includegraphics
-	{figures/Error_evolution_of_jMonteCarlo_by_number_of_points.png} 
-	\caption{\'Evolution de l'erreur par la méthode de Monte-Carlo}
-	\label{fig:MC} 
-\end{figure}
-
-Afin de mieux représenter l'évolution de l'erreur comise par la méthode de
-MonteCarlo, on réalise plusieurs tests, et on les affiches superposés 
-(\ref{fig:lot}).
-
-\begin{figure} 
-	\centering 
-	\includegraphics{figures/Error evolution of jMonteCarlo_lot by number of points.png} 
-	\caption{Superpositions de 120 tests par la Méthode de MonteCarlo} 
-	\label{fig:lot} 
-\end{figure}
-
 \end{document}
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HcmV?d00001

-- 
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