Import work from year 2013-2014

4e/DS/4eC/12_litt_frac_triCerc/12_litt_frac_triCerc.tex

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+\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
+\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
+
+% Title Page
+\titre{4}
+% \quatreC \quatreD \troisB \troisPro
+\classe{\quatreD}
+\date{18 décembre 2013}
+%\duree{1 heure}
+\sujet{%{{infos.subj%}}}
+% DS DSCorr DM DMCorr Corr
+\typedoc{DS}
+
+\begin{document}
+\maketitle
+
+Le barème est donné à titre indicatif, il pourra être modifié.
+
+\begin{Exo}[6]
+    % Copié de http://euler.ac-versailles.fr/eulerwikis/attach/Yann_Bourit/tri_rect_cercles_%E9quations_a.pdf
+    $[AB]$ est un segment de 10cm.$C$ un point du segment $[AB]$ tel que $AC = 6cm$. $\mathcal{C}1$ est le cercle de diamètre $[AC]$ et $\mathcal{C}2$ est le cercle de diamètre $[CB]$.
+    \begin{enumerate}
+        \item Tracer la figure.
+        \item Placer $D$ un point du cercle $\mathcal{C}1$ different de $A$ et $C$. Puis placer le point $E$, le point d'intersection entre le cercle $\mathcal{C}2$ et $(CD)$.
+        \item Quelle est la nature du triangle $ADC$?
+        \item Quelle est la nature du triangle $BEC$?
+        \item Démontrer que $(AD)$ et $(EB)$ sont parallèles.
+    \end{enumerate}
+\end{Exo}
+
+\begin{Exo}[6]
+    \begin{minipage}[h]{0.4\textwidth}
+        \includegraphics[scale=0.2]{./fig/rectangle.pdf}
+    \end{minipage}
+    \begin{minipage}[h]{0.6\textwidth}
+        \begin{enumerate}
+            \item Exprimer $AD$ en fonction de $x$.
+            \item Expliquer pourquoi l'aire du rectangle $ABCD$ est égale à $21x$.
+            \item Expliquer pourquoi le périmètre du rectangle $ABCD$ est égale à $6x + 14$.
+            \item Si $x = 2$, quelle est l'aire du rectangle $ABCD$?
+            \item Si $x = 1,5$, quel est le périmètre du rectangle $ABCD$?
+        \end{enumerate}
+    \end{minipage}
+\end{Exo}
+
+\begin{Exo}[3]
+    Calculer sans utiliser de nombres à virgule,les opérations suivantes:
+    \begin{eqnarray*}
+        A & = & %{{ exo.frac1() %}} \\
+        B & = & %{{ exo.frac3() %}} \\
+        C & = & %{{ exo.frac4() %}}
+    \end{eqnarray*}
+\end{Exo}
+
+\begin{Exo}[2]
+    Évaluer les expressions suivantes:
+    \begin{eqnarray*}
+        %{{ exo.exp1(letter = "A")%}} \\
+        %{{ exo.exp2(letter = "B") %}}
+    \end{eqnarray*}
+\end{Exo}
+
+\begin{Exo}[2]
+    Simplifier les expressions suivantes
+    %\begin{eqnarray*}
+    %    I & = & 
+    %    J & = & 
+    %\end{eqnarray*}
+\end{Exo}
+
+%\begin{Exo}[bonus]
+%
+%\end{Exo}
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+

4e/DS/4eC/12_litt_frac_triCerc/12_litt_frac_triCerc_1.tex

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+\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
+\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
+
+% Title Page
+\titre{4}
+% \quatreC \quatreD \troisB \troisPro
+\classe{\quatreD}
+\date{18 décembre 2013}
+%\duree{1 heure}
+\sujet{1}
+% DS DSCorr DM DMCorr Corr
+\typedoc{DS}
+
+\begin{document}
+\maketitle
+
+Le barème est donné à titre indicatif, il pourra être modifié.
+
+\begin{Exo}[6]
+    % Copié de http://euler.ac-versailles.fr/eulerwikis/attach/Yann_Bourit/tri_rect_cercles_%E9quations_a.pdf
+    $[AB]$ est un segment de 10cm.$C$ un point du segment $[AB]$ tel que $AC = 6cm$. $\mathcal{C}1$ est le cercle de diamètre $[AC]$ et $\mathcal{C}2$ est le cercle de diamètre $[CB]$.
+    \begin{enumerate}
+        \item Tracer la figure.
+        \item Placer $D$ un point du cercle $\mathcal{C}1$ different de $A$ et $C$. Puis placer le point $E$, le point d'intersection entre le cercle $\mathcal{C}2$ et $(CD)$.
+        \item Quelle est la nature du triangle $ADC$?
+        \item Quelle est la nature du triangle $BEC$?
+        \item Démontrer que $(AD)$ et $(EB)$ sont parallèles.
+    \end{enumerate}
+\end{Exo}
+
+\begin{Exo}[6]
+    \begin{minipage}[h]{0.4\textwidth}
+        \includegraphics[scale=0.2]{./fig/rectangle.pdf}
+    \end{minipage}
+    \begin{minipage}[h]{0.6\textwidth}
+        \begin{enumerate}
+            \item Exprimer $AB$ en fonction de $x$.
+            \item Expliquer pourquoi l'aire du rectangle $ABCD$ est égale à $21x$.
+            \item Expliquer pourquoi le périmètre du rectangle $ABCD$ est égale à $6x + 14$.
+            \item Si $x = 2$, quelle est l'aire du rectangle $ABCD$?
+            \item Si $x = 1,5$, quel est le périmètre du rectangle $ABCD$?
+        \end{enumerate}
+    \end{minipage}
+\end{Exo}
+
+\begin{Exo}[3]
+    Calculer sans utiliser de nombres à virgule,les opérations suivantes:
+    \begin{eqnarray*}
+        A & = & -\frac{-1}{9}-\frac{-1}{9} \\
+        B & = & \frac{-1}{6}-\frac{-11}{5} \\
+        C & = & 5+\frac{14}{5}
+    \end{eqnarray*}
+\end{Exo}
+
+\begin{Exo}[2]
+    Évaluer les expressions suivantes:
+    \begin{eqnarray*}
+        A = -4x + 7 & \mbox{avec} & x = -3 \\
+        B = 9x(-8x + 2) & \mbox{avec} & x = 8
+    \end{eqnarray*}
+\end{Exo}
+
+\begin{Exo}[2]
+    Simplifier les expressions suivantes
+    \begin{eqnarray*}
+        I & = & -5 \times 2y \times (-3) \times 2\\
+        J & = & 5t - 2t + 4 - 12 + 6t
+    \end{eqnarray*}
+\end{Exo}
+
+%\begin{Exo}[bonus]
+%
+%\end{Exo}
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:

4e/DS/4eC/12_litt_frac_triCerc/12_litt_frac_triCerc_2.tex

@@ -0,0 +1,80 @@
+\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
+\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
+
+% Title Page
+\titre{4}
+% \quatreC \quatreD \troisB \troisPro
+\classe{\quatreD}
+\date{18 décembre 2013}
+%\duree{1 heure}
+\sujet{2}
+% DS DSCorr DM DMCorr Corr
+\typedoc{DS}
+
+\begin{document}
+\maketitle
+
+Le barème est donné à titre indicatif, il pourra être modifié.
+
+\begin{Exo}[6]
+    % Copié de http://euler.ac-versailles.fr/eulerwikis/attach/Yann_Bourit/tri_rect_cercles_%E9quations_a.pdf
+    $[AB]$ est un segment de 10cm.$C$ un point du segment $[AB]$ tel que $AC = 6cm$. $\mathcal{C}1$ est le cercle de diamètre $[AC]$ et $\mathcal{C}2$ est le cercle de diamètre $[CB]$.
+    \begin{enumerate}
+        \item Tracer la figure.
+        \item Placer $D$ un point du cercle $\mathcal{C}1$ different de $A$ et $C$. Puis placer le point $E$, le point d'intersection entre le cercle $\mathcal{C}2$ et $(CD)$.
+        \item Quelle est la nature du triangle $ADC$?
+        \item Quelle est la nature du triangle $BEC$?
+        \item Démontrer que $(AD)$ et $(EB)$ sont parallèles.
+    \end{enumerate}
+\end{Exo}
+
+\begin{Exo}[6]
+    \begin{minipage}[h]{0.4\textwidth}
+        \includegraphics[scale=0.2]{./fig/rectangle.pdf}
+    \end{minipage}
+    \begin{minipage}[h]{0.6\textwidth}
+        \begin{enumerate}
+            \item Exprimer $AB$ en fonction de $x$.
+            \item Expliquer pourquoi l'aire du rectangle $ABCD$ est égale à $21x$.
+            \item Expliquer pourquoi le périmètre du rectangle $ABCD$ est égale à $6x + 14$.
+            \item Si $x = 2$, quelle est l'aire du rectangle $ABCD$?
+            \item Si $x = 1,5$, quel est le périmètre du rectangle $ABCD$?
+        \end{enumerate}
+    \end{minipage}
+\end{Exo}
+
+\begin{Exo}[3]
+    Calculer sans utiliser de nombres à virgule,les opérations suivantes:
+    \begin{eqnarray*}
+        A & = & -\frac{-16}{5}-\frac{13}{5} \\
+        B & = & \frac{-11}{2}-\frac{7}{9} \\
+        C & = & 6-\frac{17}{8}
+    \end{eqnarray*}
+\end{Exo}
+
+\begin{Exo}[2]
+    Évaluer les expressions suivantes:
+    \begin{eqnarray*}
+        A = -6x + 1 & \mbox{avec} & x = 3 \\
+        B = -2x(-6x + 5) & \mbox{avec} & x = 1
+    \end{eqnarray*}
+\end{Exo}
+
+\begin{Exo}[2]
+    Simplifier les expressions suivantes
+    \begin{eqnarray*}
+        I & = & -2 \times (-2y) \times (-4) \times 2\\
+        J & = & 7t - t + 4 - 14 + 6t
+    \end{eqnarray*}
+\end{Exo}
+
+%\begin{Exo}[bonus]
+%
+%\end{Exo}
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:

4e/DS/4eC/12_litt_frac_triCerc/add_frac.py

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+#!/usr/bin/env python
+# encoding: utf-8
+
+from random import randint, random
+
+
+
+"""Classe which generate randomly fractions sums
+
+Types of sums
+
+1 -> b / a + c / a
+2 -> b / a + c / ka
+3 -> b / a + e / d
+4 -> f + b / a or b / a + f
+
+where:
+    a integer > 2
+    b integer different from 0 (could be coprime with a)
+    c integer different from 0 (could be coprime with a or ka)
+    e integer different from 0 (could be coprime with d)
+    d integer > 2 ( a not divisible by d and d not divisible by a)
+    k integer > 2
+    f integer different from 0
+
+Signs can be mod 
+    
+
+"""
+
+def a(min_ = 2, max_ = 10):
+    """Generate randomly a
+
+    :param min_: minimum value for a
+    :param max_: maximum value for a
+    :returns: a value
+
+    """
+    return randint(min_, max_)
+
+def k(min_ = 2, max_ = 5):
+    """Generate randomly k
+
+    :param min_: minimum value for k
+    :param max_: maximum value for k
+    :returns: k value
+
+    """
+    return randint(min_, max_)
+
+def b(a_ = 0, min_ = -20, max_ = 20):
+    """Generate randomly b
+
+    :param a: the value of a if b has to be coprime with a (default 0 which means not necessarily coprime)
+    :param min_: minimum value for b (default -20)
+    :param max_: maximum value for b (default 20)
+    :returns: b value
+
+    """
+    b_ = 0
+    while b_ == 0 or not coprime:
+        b_ = randint(min_, max_)
+        if a_ == 0:
+            coprime = 1
+        elif b_ != 0:
+            gcd_ = gcd(abs(a_),abs(b_))
+            coprime = (gcd_ == 1)
+
+    return b_
+
+def c(a_ = 0, k_ = 1, min_ = -20, max_ = 20):
+    """Generate randomly c
+
+    :param a: the value of a if c has to be coprime with a (default 0 which means not necessarily coprime)
+    :param k: the value of a if c has to be coprime with ak (default 0 which means not necessarily coprime)
+    :param min_: minimum value for c (default -20)
+    :param max_: maximum value for c (default 20)
+    :returns: c value
+
+    """
+    return b(a_ = a_*k_, min_ = min_, max_ = max_)
+
+def e(d_ = 0, min_ = -20, max_ = 20):
+    """Generate randomly e
+
+    :param d: the value of a if e has to be coprime with a (default 0 which means not necessarily coprime)
+    :param min_: minimum value for e (default -20)
+    :param max_: maximum value for e (default 20)
+    :returns: e value
+
+    """
+    return b(a_ = d_, min_ = min_, max_ = max_)
+
+def d(a_, min_ = 2, max_ = 10):
+    """Generate randomly d
+
+    :param a: the value of a
+    :param min_: minimum value for d
+    :param max_: maximum value for d
+    :returns: d value
+
+    """
+    d_ = randint(min_, max_)
+    div = (not a_ % d_) or (not d_ % a_)
+    while div:
+        d_ = randint(min_, max_)
+        div = (not a_ % d_) or (not d_ % a_)
+
+    return d_
+
+def f(min_ = -10, max_ = 10):
+    """Generate randomly f
+
+    :param min_: minimum value for f
+    :param max_: maximum value for f
+    :returns: f value
+
+    """
+    f_ = randint(min_, max_)
+    while f_ == 0:
+        f_ = randint(min_, max_)
+
+    return f_
+
+def plusOrMinus(p = 0.5):
+    """Return plus with prob p and minus otherwise
+    """
+    pm = random()
+    return "+"*(pm >= p) + "-"*(pm < p)
+
+def nothingOrMinus(p = 0.5):
+    """Return nothing with prob p and minus otherwise
+    """
+    pm = random()
+    return ""*(pm >= p) + "-"*(pm < p)
+
+def type1():
+    """@todo: Docstring for type1
+    :returns: @todo
+
+    """
+    a_ = a()
+    b_ = b(a_=a_)
+    c_ = c(a_=a_)
+    
+    return nothingOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}" + plusOrMinus() + "\\frac{" + str(c_) + "}{" + str(a_) + "}"
+
+def type2():
+    """@todo: Docstring for type2
+    :returns: @todo
+
+    """
+    a_ = a()
+    b_ = b(a_=a_)
+    k_ = k()
+    c_ = c(a_=a_, k_ = k_)
+    
+    return nothingOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}" + plusOrMinus() + "\\frac{" + str(c_) + "}{" + str(k_*a_) + "}"
+
+def type3():
+    """@todo: Docstring for type3
+    :returns: @todo
+
+    """
+    a_ = a()
+    b_ = b(a_=a_)
+    c_ = c(a_=a_)
+    d_ = d(a_)
+    
+    return nothingOrMinus() + "\\frac{" + str(b_) + "}{" + str(a_) + "}" + plusOrMinus() + "\\frac{" + str(c_) + "}{" + str(d_) + "}"
+
+def type4():
+    """@todo: Docstring for type4
+    :returns: @todo
+
+    """
+    a_ = a()
+    b_ = b(a_=a_)
+    f_ = f()
+    
+    return str(f_) +  plusOrMinus() +  "\\frac{" + str(b_) + "}{" + str(a_) + "}"
+
+def gcd(a_, b_):
+        """Compute gcd(a,b)
+
+        :param a: first number
+        :param b: second number
+        :returns: the gcd
+
+        """
+        if a_ > b_:
+            c_ = a_ % b_
+        else:
+            c_ = b_ % a_
+
+        if c_ == 0:
+            return min(a_,b_)
+        elif a_ == 1:
+            return b_
+        elif b_ == 1:
+            return a_
+        else:
+            return gcd(min(a_,b_), c_)
+
+if __name__ == '__main__':
+    # print(a())
+    # print(b())
+    # print(c())
+    # print(d(3))
+    # print(e())
+    # print(f())
+    print(type1())
+    print(type2())
+    print(type3())
+    print(type4())
+
+# Reglages pour 'vim'
+# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
+# cursor: 16 del 

4e/DS/4eC/12_litt_frac_triCerc/call_litt.py

@@ -0,0 +1,163 @@
+#!/usr/bin/env python
+# encoding: utf-8
+
+from random import randint, uniform
+from math import sqrt
+from jinja2 import Template
+
+"""
+Generate expression for litteral calculous
+
+3 types of expression (a, b, c != 0, 1)
+    1 -> ax + b  and eval for x != -b / a
+    2 -> ax(bx + c) and eval for x != 0 and x != -c / b
+    3 -> ax^2 + b and eval for x != +-sqrt(b/a) (if a and b have same sign)
+"""
+
+def gene_type1(min_ = -10, max_ = 10):
+    """@todo: Docstring for gene_type1
+
+    :param min_: @todo
+    :param max_: @todo
+    :returns: @todo
+
+    """
+    a, b = 0, 0
+    while (b in [0]) or (a in [0, 1]):
+        a = randint(min_, max_)
+        b = randint(1, max_)
+
+    return "{}x + {}".format(a,b), [-b/a]
+
+def gene_type2(min_, max_):
+    """@todo: Docstring for gene_type2
+
+    :param min_: @todo
+    :param max_: @todo
+    :returns: @todo
+
+    """
+    a, b, c = 0, 0, 0
+    while (a in [0, 1]) or (b in [0, 1]) or c in [0]:
+        a = randint(min_, max_)
+        b = randint(min_, max_)
+        c = randint(1, max_)
+
+    return "{}x({}x + {})".format(a,b,c), [0, -c/b]
+
+def gene_type3(min_ = -10, max_ = 10):
+    """@todo: Docstring for gene_type3
+
+    :param min_: @todo
+    :param max_: @todo
+    :returns: @todo
+
+    """
+    a, b = 0, 0
+    while (b in [0]) or (a in [0, 1]):
+        a = randint(min_, max_)
+        b = randint(1, max_)
+
+    if a*(-b) > 0:
+        VI = [-sqrt(-b/a), sqrt(-b/a)]
+    else:
+        VI = []
+
+    return "{}x^2 + {}".format(a,b), VI
+
+def get_goodX(VI, approx = 0, min_ = -10, max_ = 10):
+    """@todo: Docstring for get_goodX
+
+    :param VI: @todo
+    :returns: @todo
+
+    """
+    x = uniform(min_, max_)
+    if approx == 0:
+        x = int(x)
+    else:
+        x = round(x,approx)
+    while x in VI:
+        x = uniform(min_, max_)
+        if approx == 0:
+            x = int(x)
+        else:
+            x = round(x,approx)
+
+    return x
+
+
+
+def fullExo(min_ = -10 , max_ = 10):
+    """Generate the whole exo
+
+    :param min_: @todo
+    :param max_: @todo
+    :returns: @todo
+
+    """
+    template = Template("""
+\\begin{equation*}
+A = {{type1}} \\qquad B = {{type2}} \\qquad C = {{type3}}
+\\end{equation*}
+
+Évaluer $A$, $B$ et $C$ pour $x = {{x1}}$ puis $x = {{x2}}$""")
+
+    type1, VI1 = gene_type1(min_, max_)
+    type2, VI2 = gene_type2(min_, max_)
+    type3, VI3 = gene_type3(min_, max_)
+
+    VI = VI1 + VI2 + VI3
+
+    x1, x2 = get_goodX(VI), get_goodX(VI, approx = 1)
+
+    info = {"type1": type1, "type2": type2, "type3": type3, "x1":x1, "x2":x2}
+
+    exo = template.render(**info)
+
+    return exo
+
+def exp1(min_ = -10, max_ = 10, letter = "A"):
+    """@todo: Docstring for exp1
+
+    :param min: @todo
+    :param max: @todo
+    :returns: @todo
+
+    """
+    exp, VI = gene_type1(min_,max_)
+    x = get_goodX(VI)
+
+    tpl = Template("{{A}} = {{exp}} & \\mbox{avec} & x = {{x}}")
+
+    return tpl.render(A = letter, exp = exp, x = x)
+
+def exp2(min_ = -10, max_ = 10, letter = "A"):
+    """@todo: Docstring for exp1
+
+    :param min: @todo
+    :param max: @todo
+    :returns: @todo
+
+    """
+    exp, VI = gene_type2(min_,max_)
+    x = get_goodX(VI)
+
+    tpl = Template("{{A}} = {{exp}} & \\mbox{avec} & x = {{x}}")
+
+    return tpl.render(A = letter, exp = exp, x = x)
+
+
+
+if __name__ == '__main__':
+    print(fullExo())
+
+    
+
+
+
+
+# -----------------------------
+# Reglages pour 'vim'
+# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
+# cursor: 16 del 

4e/DS/4eC/12_litt_frac_triCerc/fig/carre.svg

@@ -0,0 +1,293 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="1052.3622"
+   height="744.09448"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.4 r9939"
+   sodipodi:docname="carre.svg">
+  <defs
+     id="defs4" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
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4e/DS/4eC/12_litt_frac_triCerc/index.rst

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+Notes sur 12 litt frac triCerc
+##############################
+
+:date: 2014-07-01
+:modified: 2014-07-01
+:tags: DS
+:category: 4e
+:authors: Benjamin Bertrand
+:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
+
+
+
+    `Lien vers 12_litt_frac_triCerc.pdf <12_litt_frac_triCerc.pdf>`_
+
+    `Lien vers 12_litt_frac_triCerc_1.pdf <12_litt_frac_triCerc_1.pdf>`_
+
+    `Lien vers 12_litt_frac_triCerc_1.tex <12_litt_frac_triCerc_1.tex>`_
+
+    `Lien vers 12_litt_frac_triCerc_2.tex <12_litt_frac_triCerc_2.tex>`_
+
+    `Lien vers number_rotation.py <number_rotation.py>`_
+
+    `Lien vers 12_litt_frac_triCerc.tex <12_litt_frac_triCerc.tex>`_
+
+    `Lien vers call_litt.py <call_litt.py>`_
+
+    `Lien vers 12_litt_frac_triCerc_2.pdf <12_litt_frac_triCerc_2.pdf>`_
+
+    `Lien vers add_frac.py <add_frac.py>`_
+
+    `Lien vers fig/rectangle.pdf <fig/rectangle.pdf>`_
+
+    `Lien vers fig/carre.pdf <fig/carre.pdf>`_

4e/DS/4eC/12_litt_frac_triCerc/number_rotation.py

@@ -0,0 +1,90 @@
+#!/usr/bin/env python
+# encoding: utf-8
+
+import jinja2, random, os
+import sys
+import optparse
+
+def randfloat(approx = 1, low = 0, up = 10):
+		""" return a random number between low and up with approx floating points """
+		ans = random.random()
+		ans = ans*(up - low) + low
+		ans = round(ans, approx)
+		return ans 
+
+random.randfloat = randfloat
+
+def gaussRandomlist(mu = 0, sigma = 1, size = 10, manip = lambda x:x):
+    """ return a list of a gaussian sample """
+    ans = []
+    for i in range(size):
+        ans += [manip(random.gauss(mu,sigma))]
+    return ans
+
+random.gaussRandomlist = gaussRandomlist
+
+def gaussRandomlist_strInt(mu = 0, sigma = 1, size = 10):
+    return gaussRandomlist(mu, sigma, size, manip = lambda x: str(int(x)))
+
+random.gaussRandomlist_strInt = gaussRandomlist_strInt
+
+# ------------------
+# Spécial exo!
+
+from add_frac import type1, type3, type4
+exo = {"frac1": type1, "frac3": type3, "frac4": type4}
+
+from call_litt import exp1, exp2
+exo["exp1"] = exp1
+exo["exp2"] = exp2
+
+
+report_renderer = jinja2.Environment(
+block_start_string = '%{',
+block_end_string = '%}',
+variable_start_string = '%{{',
+variable_end_string = '%}}',
+loader = jinja2.FileSystemLoader(os.path.abspath('.'))
+)
+
+def main(options):
+    template = report_renderer.get_template(options.template)
+
+    if options.output:
+        output_basename = options.output
+    else:
+        tpl_base = os.path.splitext(options.template)[0]
+        output_basename = tpl_base + "_"
+
+
+    for subj in range(options.num_subj):
+        subj = subj+1
+        dest = output_basename + str(subj) + '.tex'
+        with open( dest, 'w') as f:
+                f.write(template.render(random = random, infos = {"subj" : subj}, exo = exo))
+        os.system("pdflatex " + dest)
+
+        if not options.dirty:
+            os.system("rm *.aux *.log")
+
+if __name__ == '__main__':
+
+
+    parser = optparse.OptionParser()
+    parser.add_option("-t","--tempalte",action="store",type="string",dest="template", help="File with template")
+    parser.add_option("-o","--output",action="store",type="string",dest="output",help="Base name for output (without .tex or any extension))")
+    parser.add_option("-n","--number_subjects", action="store",type="int", dest="num_subj", default = 2, help="The number of subjects to make")
+    parser.add_option("-d","--dirty", action="store_true", dest="dirty", help="Do not clean after compilation")
+
+    (options, args) = parser.parse_args()
+
+    if not options.template:
+        print("I need a template!")
+        sys.exit(0)
+
+    main(options)
+
+# -----------------------------
+# Reglages pour 'vim'
+# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
+# cursor: 16 del