first commit

22sept/main.py

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+#!/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)
+

29sept/ex1-2.py

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+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))

29sept/ex2-1/droite.py

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+def droite(p1: tuple,p2: tuple) -> 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
+

29sept/ex2-1/droite_test.py

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+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()
+

29sept/plot.py

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+#!/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, b, c in self.functs:
+            t = np.array([self.xmin, self.xmax])
+            y = (-a * 1.0 / b) * t + (c * 1.0 / b)
+            self.plot(t, y, (a, b, c))
+        for a, b, c in self.verts:
+            x = c / a
+            self.plot([x, x], plt.ylim(), (a, b, c))
+        plt.axis('tight')
+        plt.legend()
+        plt.title('Exercices sur les droites')
+        plt.xlabel('x')
+        plt.ylabel('y')
+        plt.grid(True)
+
+    def save(self, filename):
+        self.draw()
+        plt.savefig(filename)
+
+    def show(self):
+        self.draw()
+        plt.show()
+
+
+if __name__ == '__main__':
+    p = Plot()
+    p.prepare((1, 1, 3))
+    p.prepare((-2, 1, -1))
+    p.prepare((1, 0, -5))
+    p.show()
+    input()