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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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, 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() diff --git a/29sept/serie2.pdf b/29sept/serie2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8465c162f1e0fbaeec99b2dfa84cd40d556b2937 GIT binary patch literal 212640 zcmY!laBR8|4K8B^1BLvgEG`=xE`6WWy!4U`1!DsXLj^G4(s#?uDM>9- z(09v8EJ<}qP0mkA<+8KmDlREXP0Z!0xV2U4=A_%lKGyDU@{in*Ro-N2AQ9o;*FPn8 z)7mLh_C%}`VM$V5;m~wwp~t^pCH~(VBy@J}_Ie}EG-L7d_t`V@?&V!Ndw=~U?(_Ti 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