From 9386728e964d1ebd4ce7e64ea8671de1f730d9b2 Mon Sep 17 00:00:00 2001 From: Debucquoy Date: Thu, 29 Sep 2022 17:42:52 +0200 Subject: [PATCH] first commit --- 22sept/main.py | 38 ++++++++ 22sept/serie1.pdf | Bin 0 -> 240844 bytes 29sept/ex1-2.py | 32 +++++++ .../ex2-1/__pycache__/droite.cpython-310.pyc | Bin 0 -> 2152 bytes 29sept/ex2-1/droite.py | 90 ++++++++++++++++++ 29sept/ex2-1/droite_test.py | 37 +++++++ 29sept/plot.py | 75 +++++++++++++++ 29sept/serie2.pdf | Bin 0 -> 212640 bytes 8 files changed, 272 insertions(+) create mode 100755 22sept/main.py create mode 100644 22sept/serie1.pdf create mode 100644 29sept/ex1-2.py create mode 100644 29sept/ex2-1/__pycache__/droite.cpython-310.pyc create mode 100644 29sept/ex2-1/droite.py create mode 100644 29sept/ex2-1/droite_test.py create mode 100644 29sept/plot.py create mode 100644 29sept/serie2.pdf diff --git a/22sept/main.py b/22sept/main.py new file mode 100755 index 0000000..7e53bcf --- /dev/null +++ b/22sept/main.py @@ -0,0 +1,38 @@ +#!/usr/bin/env python + +from math import pi + +def volume_sphere(rayon): + return (4/3)*pi*rayon**3 + +def prix_livre(nbr, prix): + return ((prix*nbr) - (prix*nbr*(40/100)) + (3 + 0.75*(prix - 1))) + +def time_per_miles(km, h, m, s): + mi = km / 1.61 # km to mi + total_sec = h *60 + m * 60 + s + return mi / total_sec + +def time_per_miles(km, h, m, s): + mi = km / 1.61 # km to mi + total_sec = h *60 + m * 60 + s + return mi / total_sec + +def mi_per_h(km, h, m, s): + mi = km / 1.61 + total_h = h + m / 60 + s /3600 + return mi / total_h + +if __name__ == "__main__": + vol = volume_sphere(5) + print(vol) + + nbre_livre = prix_livre(60, 24.95) + print(nbre_livre) + + time = time_per_miles(10, 0, 43, 30) + print(time) + + speed = mi_per_h(10, 0, 43, 30) + print(speed) + diff --git a/22sept/serie1.pdf b/22sept/serie1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..a4278807c75bdc787b2fd7584cfcfbdeaf54adcf GIT binary patch literal 240844 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PkTe(sxN!qvhy?r(z8mnj literal 0 HcmV?d00001 diff --git a/29sept/ex1-2.py b/29sept/ex1-2.py new file mode 100644 index 0000000..890f28e --- /dev/null +++ b/29sept/ex1-2.py @@ -0,0 +1,32 @@ +def rendreMonnaie(prix, monnaie): + x1, x2, x3, x4, x5 = monnaie # Chaques billets en entree (20, 10, 5, 2, 1) + + given = (x1*20) + (x2*10) + (x3*5) + (x4*2) + (x5*1) + + rest = given - prix + if rest < 0: + return f"vous n'avez pas assez d'argent. Il manque : {-rest}" + + o1 = rest // 20 + rest = rest % 20 + + o2 = rest // 10 + rest = rest % 10 + + o3 = rest // 5 + rest = rest % 5 + + o4 = rest // 2 + rest = rest % 2 + + o5 = rest // 1 + rest = rest % 1 + + return o1, o2, o3, o4, o5 + + +if __name__ == "__main__": + prix = int(input("quel est le prix :")) + print("entrez maintenant les billets") + mon = (int(input("20e:")),int(input("10e:")),int(input("5e:")),int(input("2e:")),int(input("1e:"))) + print(rendreMonnaie(prix, mon)) diff --git a/29sept/ex2-1/__pycache__/droite.cpython-310.pyc b/29sept/ex2-1/__pycache__/droite.cpython-310.pyc new file mode 100644 index 0000000000000000000000000000000000000000..43bc0ef75c6ba0984229058c9a63f21e1436b39f GIT binary patch literal 2152 zcmb7F!EW0|5Zzr;6h+I9?JBlgw+&kqO@ulYq@srkZBR4;3KWHMa85>0gW|4iAu`GA zQiWttr{n|r3q9r=`X{{hlyh#qv~QP`EGbTr5||mz?s9kL&6{Psx#hy3Ym0ZJ2?$< z8s@Ywb?uD$yWP5oFGVYjqhT6ev_fR5&Jr1)%b?ZyR*58SiAm>vyHzB5oJ@14c-6J9gP;udGY0VK z)vpCKyz7hS;~*UZ=w<9nNV^5ZYcQsAjN%MS_=QS+9z?3FT2Uv1L$jJwp3_9?Fr_A$ zbfI!O$?5bOE~#50_ktt|WI7a4dKq^>smqprNz*$M#njvklk7d@O zW~XyV%A`e^G&odJtmF;{cgm4<&dihLZC@bKj;~^H4xt94kr)XDAR>S_2u4aQ=kDf= zqvLodX8~*<5<&v_eMs1O3xMlAKSN3-03O|D^22oiG-8^creUArMM$V1EmgP#fv9>t+bOut75VA=1p4r%K>1LmK@^I!5{0rl=8v=Z zd%RbWw{P6)M5l8{D<7)Ybn}Y&iJ2SS+;4{3hH?gPlZ#orgn}uVxh&o9E@M6(i3jF? Rp}D(9+=g3sH=(_H^ tuple: + """retourne un 3-uple d'une droite selon ax+by=c + + :p1: tuple du point 1 + :p2: tuple du point 2 + :returns: 3-uple (a,b,c) tq ax+by=c + + """ + x1, y1 = p1 + x2, y2 = p2 + if p1 == p2: + return + if x2-x1 == 0: + return 1, 0, 0 + a = -(y2-y1)/(x2-x1) + c = a*x1 + b = (-a*x2 + c) / y2 + return a, b, c + + +def appartient(d, p): + """ + :d: equation d'une droite + :p: point + :returns: true si point est dans droite + + """ + a, b, c = d + x, y = p + return a*x + b*y == c + + +def paralleles(d1, d2): + """ + :d1: droite 1 + :d2: droite 2 + :returns: true si d1 et d2 sont paralleles sinon false + + """ + a1, b1, c1 = d1 + a2, b2, c2 = d2 + + return a1/b1 == a2/b2 + + +def intersection(d1, d2): + """Trouve le point d'intersection + + :d1: droite 1 + :d2: droite 2 + :returns: retourne le point d'intersection sinon None + + """ + a1, b1, c1 = d1 + a2, b2, c2 = d2 + + if paralleles(d1, d2): + return # paralleles donc pas d'intersection + + y = (c2*a1 - a2*c1) / (-a2*b1 + b2*a1) + x = (c1 - b1*y)/ a1 + + return x, y + + +def droite_normale(d, p): + """TODO: trouve la normale dune droite passant par un point. + + :d: droite + :p: point + :returns: retourne la normale de la droite passant par le point + + """ + + + +def symetrie_orthogonale(d, p): + """TODO: Docstring for symetrie_orthogonale(d, p. + :returns: TODO + + """ + pass + +def distance_droite_point(d, p): + """TODO: Docstring for distance_droite_point. + :returns: TODO + + """ + pass + diff --git a/29sept/ex2-1/droite_test.py b/29sept/ex2-1/droite_test.py new file mode 100644 index 0000000..946a100 --- /dev/null +++ b/29sept/ex2-1/droite_test.py @@ -0,0 +1,37 @@ +from droite import * + +def test(function, p1, p2, exp_result): + fun_result = function(p1, p2) + if fun_result == exp_result: + print(f"{function.__name__}({p1}, {p2}) == {exp_result} --- SUCCESS!") + else: + print(f"{function.__name__}({p1}, {p2}) == {exp_result} --- ERROR! (result was:{fun_result})") + + +def tests(): + test(droite, (-2, 0), (1, 1.5), (-0.5, 1, 1.0)) + test(droite, (0, -3), (0, 5), (1, 0, 0)) + test(droite, (0, -1), (0, -1), None) + + test(appartient, (-0.5, 1, 1.0), (-2, 0), True) + test(appartient, (-0.5, 1, 1.0), (1, 1.5), True) + test(appartient, (-0.5, 1, 1.0), (0, -1), False) + + test(paralleles, (0, 1, 1), (0, 2, 3), True) + test(paralleles, (-0.5, 1, 1.0), (0, 2, 3), False) + + test(intersection, (-0.5, 1, 1.0), (0, 2, 3), (1.0, 1.5)) + test(intersection, (0, 1, 1), (0, 2, 3), None) + + test(droite_normale, (-0.5, 1, 1.0), (-2, 0), (2.0, 1, -4.0)) + test(droite_normale, (-0.5, 1, 1.0), (3, 4), (2.0, 1, 10.0)) + + test(symetrie_orthogonale, (-0.5, 1, 1.0), (-2, 0), (-2.0, 0.0)) + test(symetrie_orthogonale, (-0.5, 1, 1.0), (3, 4), (2.0, 1, 10.0)) + + test(distance_droite_point, (-0.5, 1, 1.0), (-2, 0), 0.0) + + +if __name__ == "__main__": + tests() + diff --git a/29sept/plot.py b/29sept/plot.py new file mode 100644 index 0000000..adbb639 --- /dev/null +++ b/29sept/plot.py @@ -0,0 +1,75 @@ +#!/usr/bin/env python3 + +import matplotlib.pyplot as plt +import numpy as np + + +class Plot(object): + """Show graphical drawing of lines from their equation.""" + + def __init__(self): + self.setXAxis() + self.functs = [] + self.verts = [] + + def prepare(self, line): + """Add the given line to the plot. + The line is not shown until the method show is called. + + Args: + line: a triplet `(a, b, c)` representing the coefficients of the + line of equation `ax + bx + c = 0`. + """ + a, b, c = line + if b == 0: + if a == 0: + raise ValueError('Not a line.') + else: + self.verts.append(line) + else: + self.functs.append(line) + + def setXAxis(self, xmin=-10, xmax=10): + self.xmin = xmin + self.xmax = xmax + + def reset(self): + self.setXAxis() + self.functs = [] + self.verts = [] + + def plot(self, t, y, line): + a, b, c = line + plt.plot(t, y, label='%.4g*x + %.4g*y = %.4g' % (a, b, c)) + + def draw(self): + for a, 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