From abb92649e47607ae750fb0f7751f7d826d39aeed Mon Sep 17 00:00:00 2001 From: Suwako Moriya Date: Sat, 23 Nov 2019 15:22:53 +0100 Subject: [PATCH] Initial Commit --- .gitignore | 1 + Cours/cours1.py | 111 +++ Cours/cours2.py | 180 +++++ Cours/cours3.py | 194 +++++ Cours/cours4.py | 33 + DM1/main.py | 91 +++ MPSI 19-20.zip | Bin 0 -> 2303375 bytes Pivot/main.py | 181 +++++ Pivot/test.txt.gz | Bin 0 -> 1454240 bytes TP/TP1 tortue bonus.pdf | Bin 0 -> 186136 bytes TP/TP1.py | 681 ++++++++++++++++++ TP/TP1Questions.pdf | Bin 0 -> 119832 bytes TP/TP2 etudiants.py | 553 ++++++++++++++ ...ratives et boucles conditionnelles bonus.pdf | Bin 0 -> 201358 bytes TP/TP2Questions.pdf | Bin 0 -> 92169 bytes TP/TP3-Boucles.pdf | Bin 0 -> 217022 bytes TP1_bonus/TP1 tortue bonus.pdf | Bin 0 -> 186136 bytes TP1_bonus/main.py | 139 ++++ ...ratives et boucles conditionnelles bonus.pdf | Bin 0 -> 201358 bytes TP2_bonus/main.py | 180 +++++ TP2_bonus_MandelBrot/Bigpicture.png | Bin 0 -> 879009 bytes .../TP-BONUSMandelbrotFeigenbaum.pdf | Bin 0 -> 256323 bytes TP2_bonus_MandelBrot/main.py | 153 ++++ TP3/TP3-Boucles.pdf | Bin 0 -> 217022 bytes TP3/main.py | 97 +++ mpsi.py | 4 + randomm.py | 14 + 27 files changed, 2612 insertions(+) create mode 100644 .gitignore create mode 100644 Cours/cours1.py create mode 100644 Cours/cours2.py create mode 100644 Cours/cours3.py create mode 100644 Cours/cours4.py create mode 100644 DM1/main.py create mode 100644 MPSI 19-20.zip create mode 100755 Pivot/main.py create mode 100644 Pivot/test.txt.gz create mode 100755 TP/TP1 tortue bonus.pdf create mode 100755 TP/TP1.py create mode 100755 TP/TP1Questions.pdf create mode 100755 TP/TP2 etudiants.py create mode 100755 TP/TP2 instructions itératives et boucles conditionnelles bonus.pdf create mode 100755 TP/TP2Questions.pdf create mode 100644 TP/TP3-Boucles.pdf create mode 100755 TP1_bonus/TP1 tortue bonus.pdf create mode 100755 TP1_bonus/main.py create mode 100755 TP2_bonus/TP2 instructions itératives et boucles conditionnelles bonus.pdf create mode 100644 TP2_bonus/main.py create mode 100644 TP2_bonus_MandelBrot/Bigpicture.png create mode 100644 TP2_bonus_MandelBrot/TP-BONUSMandelbrotFeigenbaum.pdf create mode 100755 TP2_bonus_MandelBrot/main.py create mode 100644 TP3/TP3-Boucles.pdf create mode 100644 TP3/main.py create mode 100755 mpsi.py create mode 100644 randomm.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..2812bcc --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +*__pycache__ diff --git a/Cours/cours1.py b/Cours/cours1.py new file mode 100644 index 0000000..658135a --- /dev/null +++ b/Cours/cours1.py @@ -0,0 +1,111 @@ +1+1 +#2 + +print('Hello world !') + +help(print) + +print('Hello World !', file=open('essai.txt', 'w')) + +1+2 +print(1+2) +print(print(1+2)) +print(1)+2 +print(1)+print(2) + +print('Un nouveau calcul') +print('5 * 3=', 5*3) +2+4 + +print('Une journée a une durée égale à', 60*60*24, 'secondes') +print(1, 2, 3, sep='+', end='=') +print(6, 5, 4, sep='\n', end='*') + +type(5) +type('LLG') +type(None) +type(print) + +id(5) +id(None) +id(print) + +1 + 2 - 3 +#0 +0.1 + 0.2 - 0.3 +#5.5...... e-17 + +23 // 3 +23 % 3 +24 // 4 +24 % 4 + +int(2.3333) +int(-2.3333) + +float(25) +complex(2) + +float(999999999999999999) +int(1e+16) + +float(2 + 0j) + +(2 + 0j).real +(2 + 0j).imag + +import numpy as np +np.sin(1.571) +np.sqrt(2) +np.pi + +from math import exp +exp(1) +np.exp(1) + +(4 + 3) < 11 and not 'alpha' > 'omega' +(1 + 1 == 3) != ('Henri 4' > 'Louis-le-Grand') + +largeur = 12.45 +longueur = 42.18 +aire = longueur * largeur +print("L'aire du rectange est égale à", aire) + + +id(largeur) + +a = 257 +b = 257 +a == b +a is b +a is c + +"aujourd'hui" +'et demain' +print("un passage\n à la ligne") +chn = "Hello " +chn += 'world !' +print(chn) +chn*3 + +'123' + '1' +123 + 1 +'123' + 1 +int('123') + 1 +'123' + str(1) + +ch = 'Louis-Le-Grand' +ch[4] +ch[0] + ch[6] + ch[9] + +print(ch[-8]*2 + ch[-5]) +len(ch) + +ch[3:-3] +ch[6:] + ch[:6] + +ch[::2] +ch[1::2] +ch[::-1] +s = '12345678' +s[-1::-2] + s[0::2] diff --git a/Cours/cours2.py b/Cours/cours2.py new file mode 100644 index 0000000..7db7be5 --- /dev/null +++ b/Cours/cours2.py @@ -0,0 +1,180 @@ +print("Bonjour\ntout le monde") +len("Bonjour\ntout le monde") + +1 + len("45") +1 + print(45) + +from numpy import sqrt +def norme(x, y): + return sqrt(x**2 + y**2) +norme(3, 4) + +def norme(x, y, k): + return (x**k + y**k)**(1/k) +norme(3, 4, 2) +norme(3, 4, 3) +norme(3, 4) + +def norme(x, y, k=2): + return (x**k + y**k)**(1/k) +norme(3, 4, 3) + +norme(3, 4) + +norme(3, 4, k=3) + +print(1, 2, 3, sep='+', end='=6\n') + +a = 1 +def f(): + b = a + return b +f() +1 + +b + +def g(): + a = 2 + return a +g() +a + +def h(): + global a + a = 2 + return a +h() +2 +a + +def f(): + global a + a = a + 1 + return a +def g(): + a = 1 + a = a + 1 + return a +def h(): + a = a + 1 + return a +a = 1 +print(f(), a) +print(a, f()) +print(a, g()) +print(a, h()) + +'alpha' < 'omega' +'gamma' <= 'beta' +def est_pair(n): + return n + 2 == 0 +def est_pair(n): + if n % 2 == 0: + return True + else: + return False +list(range(10)) +list(range(5, 15)) +list(range(1, 20, 3)) +for x in range(2, 10, 3): + print(x, x**2) +for x in range(1, 6): + for y in range(1, 6): + print(x * y, end=' ') + print('/') +def u(n): + x = 0 + for k in range(n): + x = 2 * x + 1 + return x +def u(n): + x = 0 + for k in range(n): + x = 2 * x + 1 + return x +def u(n): + x = 0 + for k in range(n): + x = 2 * x + 1 + return x +def u(n): + x = 0 + for k in range(n): + x = 2 * x + 1 + return x +def fact(n): + x = 1 + for k in range(n): + x = x * (k + 1) + return x +def fib(n): + x, y = 0, 1 + for k in range(n): + x, y = x + y, x + return x +def mystere(p, x): + n = len(p) + s = 0 + for k in range(n): + s = x * s + p[n-1-k] + return s +def epeler(mot): + for c in mot: + print(c, end=' ') + epeler('Louis-Le-Grand') +def epeler(mot): + for i in range(len(mot)): + print(mot[i], end=' ') +for (i, c) in enumerate('Louis-Le-Grand'): + print(i, c, sep='->', end=' ') +while 1 + 1 ==3: + print('abc', end=' ') +print('def') + +while 1 + 1 == 2: + print('abc', end=' ') + break #retirer cette ligne si on veut jouer avec la boucle + +x = 10 + +while x > 0: + print(x, end=' ') + x -= 1 + +def mystere(a, b): + q, r = 0, a + while r >= b: + q, r = q ° 1, r -b + return q, r + +def mystere(n): + i, s = 0, 0 + while s < n: + s += 2 * i + 1 + i += 1 + return i + +def recherche(c, chn): + for x in chn: + if x == c: + return True + return False +s = 0 +from random import * +while True: + s += 1 + if randint(1,7) == 6 and randint(1,7) == 6: + break + +from numpy.random import randint +def test(n): + e = 0 + for k in range(n): + s = 0 + while True: + s +=1 + if randint(1, 7) == 6 and randint(1, 7) == 6: + break + e += s + return e / n diff --git a/Cours/cours3.py b/Cours/cours3.py new file mode 100644 index 0000000..2df5bbb --- /dev/null +++ b/Cours/cours3.py @@ -0,0 +1,194 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Fri Oct 4 08:06:51 2019 + +@author: suwako +""" + +# Structures de données + +a = [0, 1, 'abc', 4.5, 'de', 6] # un niveau +b = [[], [1], [1, 2], [1, 2, 3]] # deux niveaux + +a[2] # On attend 'abc' +b[3][1] # On attend 2 + +a[1:5] # Slicing +a[1:-1] # La même chose +a[:4] # On peut ommetre une partie +a[-3:] +li = list(range(11)) # Création d'une liste à partir d'une énumération +li[2:9:3] # On peut rajouter un pas +li[3::2] +li[:-1:2] +li[-1:0:-1] + +list("Louis-Le-Grand") + +[x for x in range(11) if x * x <= 50] + +a, b = [1, 2, 3], [2, 4, 6] +[(x, y) for x in a for y in b] +[(x, y, z) for x in range(1, 20) for y in range(x, 20) for z in range(y, 20) if x**2 + y**2 == z**2] + +# Concaténation +[2, 4, 6, 8] + [1, 3, 5, 7] + +# Duplication +[1, 2, 3]*3 + +# Mutation +li = list(range(11)) +li[3] = 'a' +li[3:7] = 'abc' # On perd un élément ici +li + +li = list(range(10)) +li[1::2] = li[0::2] +li + +li = list(range(11)) +del li[3:6] # Suppression d'élements +li + +li = ['a', 'b', 'c', 'd'] +li.append('e') # Ajout d'élément +li +li.insert(2, 'x') # Insertion d'élément +li + +li = list(range(1, 6)) * 2 +li.remove(4) # On retire la première occurence de 4 +li + +li.pop(-1) # Affiche le dernier élement et le retire de la liste +li + +li = list(range(1, 4)) * 2 +li.reverse() # On renverse la liste ; Attention, une méthode modifie l'objet +li + +li.sort() # On trie la liste par ordre croissant +li + +sorted(li) # Ici, on trie également, mais on ne modifie pas la liste originale +li + +list('abcde') # Transformation de type +str(list('abcde')) +tuple([1, 2, 3, 4]) + +# Les listes sont mutables +lst = [1, 2, 3] +lst[0] = 4 +lst + +tup = (1, 2, 3) +tup[0] = 4 +chr = 'abc' +chr[0] = 'd' + +l1 = [1, 2, 3] +id(l1) +tup1 = (1, 2, 3) +id(tup1) +l1[0] = 4 +id(l1) +tup1 = (4, 2, 3) +id(tup1) + +l2 = l1 +id(l1) == id(l2) +tup2 = tup1 +id(tup1) == id(tup2) + +l1[0] = 1 +l2 +tup1 = (1, 2, 3) +tup2 + +l3 = l1[:] +l3 = l1.copy() +l3 = [x for x in l1] + +l1 = [[1, 2, 3], [4, 5, 6]] +l2 = l1[:] +id(l1) == id(l2) +id(l1[0]) == id(l2[0]) + +from copy import deepcopy +l3 = deepcopy(l1) +id(l1) == id(l3) +id(l1[0]) == id(l3[0]) + +def somme(l): + s = 0 + for x in l: + s += x + return s +def moyenne(l): + s = 0 + for x in l: + s += x + return s / len(l) + +def variance(l): + n = len(l) + s = c = 0 + for x in l: + s += x + c += x * x + return c/n - (s/n) * (s/n) + +def maximum(l): + m = l[0] + for x in l: + if x > m: + m = x + return m +def indice_max(l): + i, m = 0, l[0] + for k in range(1, len(l)): + if l[k] > m: + i, m = k, l[k] + return i + +def maximum(l): + m = l[0] + for x in l: + if x > m: + m = x + return m + +def indice_du_max(l): + i, m = 0, l[0] + for (k, x) in enumerate(l): + if x > m: + i, m = k, x + return i +def cherche(x, l): + k, rep = 0, False + while k < len(l) and not rep: + rep = l[k] == x + k += 1 + return rep +def cherche(x, l): + for y in l: + if y == x: + return True + return False + +(x in l) + +def cherche_dicho(x, l): + i, j = 0, len(l) + while i < j: + k = (i + j) // 2 + if l[k] == x: + return True + elif l[k] > x: + j = k + else: + i = k + 1 + return False diff --git a/Cours/cours4.py b/Cours/cours4.py new file mode 100644 index 0000000..3022068 --- /dev/null +++ b/Cours/cours4.py @@ -0,0 +1,33 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- + + +def base10(x, b=2): + s = 0 + k = len(x) - 1 + for a in x: + s += int(a) * b ** k + k -= 1 + return s + + +def base10Horner(x, b=2): + u = 0 + for a in x: + u = b * u + int(a) + return u + + +def baseb(x, b): + s = "" + y = x + while y > 0: + s = str(y % b) + s + y //= b + return s + + +print(1 + 2**53) +print(1. + 2**53) +print((1. + 2.**53) - 2.**53) +print(1. + (2.**53 - 2.**53)) diff --git a/DM1/main.py b/DM1/main.py new file mode 100644 index 0000000..9fa0e18 --- /dev/null +++ b/DM1/main.py @@ -0,0 +1,91 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +""" +Created on Sat Nov 2 12:27:26 2019 + +@author: suwako +""" + + +def estEgyptienne(lst): + last = lst[0] + for element in lst[1:]: + print(element,last) + if element <= last or last < 2: + return False + last = element + return True + + +def rationnel(lst): + p, q = 0, 1 + for i in range(len(lst)): + q *= lst[i] + reduite = lst[:i]+lst[i+1:] + terme = 1 + for element in reduite: + terme *= element + p += terme + return (p, q) + +def fractionEgyptienne(p, q): + a = p + b = q + lst=[] + while b % a != 0: + print(a, b, lst) + m = b // a + 1 + lst.append(m) + a = a * m - b + b = b * m + print(a, b, lst) + lst.append(b // a) + return lst + + +def estPrefixe(u, v): + if len(v) > len(u): + return False + for i in range(len(v)): + if u[i] != v[i]: + return False + return True + + +def bord(u): + for i in range(1, len(u)): + if estPrefixe(u, u[i:]): + return u[i:] + return "" + + +def Bords(u): + lst = [None] + for k in range(1, len(u) + 1): + lst.append(len(bord(u[:k]))) + return lst + + +def estFacteur(u, v): + for i in range(len(u)-len(v) + 1): + if 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__init__(self, coeffs, quiet=True, text=None, parent=None): + if text: + pass + else: + self.coeffs = [[fractions.Fraction(j) for j in i] for i in coeffs] + self.quiet = quiet + self.parent = parent + self.proper_offset = 0 + + def crop(self): + self.proper_offset += 1 + self.coeffs = [[j for index,j in enumerate(i) if index > 0] for i in self.coeffs] + return self + + def triangularise(self): + # Find a good pivot + if len(self.coeffs) == 1: + return self + pivot = 0 + for i, line in enumerate(self.coeffs): + if not self.coeffs[pivot][0] or line[0] == 0: + pivot = i + continue + if line[0] == 1: + pivot = i + break + if line[0].denominator == 1: + if line[0] < self.coeffs[pivot][0]: + pivot = i + continue + else: + if line[0].denominator < self.coeffs[pivot][0].denominator: + pivot = i + continue + self.swap(0, pivot) + # If we couldn't find a pivot, the first coeff of each line is 0. + # That means the system is not of the defined dimension. + # Let's fix it. + if self.coeffs[0][0] == 0: + self.crop() + return self.triangularise() + + # Cancel the first coefficient of each line + for i in range(1, len(self.coeffs)): + factor = self.coeffs[i][0] / self.coeffs[0][0] + #print() + #print(self) + self.add(i, 0, factor) + #print(self) + #print() + # Triangularise the subsystem + sub = self.subsystem().triangularise() + for i in range(len(sub.coeffs)): + for j in range(len(sub.coeffs[0])): + self.coeffs[i + sub.lineoffset() - self.lineoffset()][j + sub.offset() - self.offset()] = sub.coeffs[i][j] + return self + + def add(self, l1, l2, factor): + sl1,sl2 = [self.lineoffset() + i + 1 for i in [l1,l2]] + print("L%s <- L%s + (%s)*L%s"%(str(sl1), str(sl1), str(factor), str(sl2))) + term = [i*factor for i in self.coeffs[l2]] + res = [self.coeffs[l1][i] - term[i] for i in range(len(self.coeffs[0]))] + self.coeffs[l1] = res + return self + + def swap(self, l1, l2): + self.coeffs[l1], self.coeffs[l2] = self.coeffs[l2], self.coeffs[1] + return self + + def offset(self): + if self.parent: + return self.parent.offset() + self.proper_offset + 1 + else: + return self.proper_offset + + def lineoffset(self): + if self.parent: + return self.parent.lineoffset() + 1 + else: + return 0 + + def subsystem(self): + print(self) + subcoefs = [[j for j in i[1:]] for i in self.coeffs[1:]] + return self.__class__(subcoefs, parent=self) + +k=3 +test = System([[fractions.Fraction(str(random.randint(1,50))+'/'+str(1+0*random.randint(1,10))) for j in range(k+1)] for i in range(k)], quiet=False) +print(test.triangularise()) +"""class Systeme(): + def __str__(self): + return '\n'.join([''.join([((str(self.coeffs[i][j])) + ["x" + str(j+self.offset),"tbcdefghijklmnopqrstuvwxyz"[(j+23+self.offset)%26]][True] + (' + ' if self.coeffs[i][j+1:-1].count(0) == 0 else ' ') if self.coeffs[i][j] else '' ) if j != len(self.coeffs[0]) - 1 else "= " + str(self.coeffs[i][j]) for j in range(len(self.coeffs[0]))]) for i in range(len(self.coeffs))]) + + def __init__(self, coeffs, quiet=True, text=None, parent=None, offset=0): + if text: + self.coeffs=[list(map(fractions.Fraction, map(int, i.split(',')))) for i in text.split(';')] + else: + self.coeffs = [[fractions.Fraction(j) for j in i] for i in coeffs] + self.quiet=quiet + self.parent=parent + self.offset=offset + def pivot(self, new_pivot): + self.quiet or print("L%s <-> L"%(str(self.offset + 1))+ str(new_pivot+1+self.offset)) + self.coeffs[0], self.coeffs[new_pivot] = self.coeffs[new_pivot], self.coeffs[0] + return self + + def cancel(self, line): + if line == 0: + return self + if self.coeffs[0][0] == 0: + return self + line_coeff = self.coeffs[line][0] / self.coeffs[0][0] + self.quiet or print("L"+str(line+1+self.offset) + " <- L" + str(line+1+self.offset) + " - ("+str(line_coeff)+")*L"+str(self.offset+1)) + self.coeffs[line] = [self.coeffs[line][i] - line_coeff * self.coeffs[0][i] for i in range(len(self.coeffs[line]))] + return self + + def solve(self): + self.quiet or print("\nSolving system of dimension : ", len(self.coeffs)) + self.quiet or print(self) + + if len(self.coeffs) == 1: + return self + +#Selecting pivot + pivot = 0 + for i in range(len(self.coeffs)): + if self.coeffs[i][0] != 0 and (self.coeffs[i][0] < self.coeffs[pivot][0] or self.coeffs[pivot][0]==0) : + pivot = i + self.pivot(pivot) + +#Canceling the first coeffs of each equation (except the first one) + self.quiet or print("\n<=>\n") + for i in range(1, len(self.coeffs)): + self.cancel(i) + self.quiet or print(self) + +#Solving the subsystem + for i, line in enumerate(Systeme([[self.coeffs[i][j] for j in range(1, len(self.coeffs[i]))]for i in range(1, len(self.coeffs))], quiet=self.quiet, parent=self, offset=(self.offset+1)).solve().coeffs): + for j in range(len(line)): + self.coeffs[i+1][j+1] = line[j] + self.quiet or print() + return self + + def find(self, this): + if self.coeffs[this][:-1].count(0) < len(self.coeffs[this][:-1]) - 1: + self.cleanline(this) + if self.coeffs[this][:-1].count(0) == len(self.coeffs[this][:-1]) - 1: + if self.coeffs[this][this]==1: + return self.coeffs[this][-1] + else: + self.coeffs[this][-1], self.coeffs[this][this] = self.coeffs[this][-1] / self.coeffs[this][this], 1 + return self.coeffs[this][-1] + raise Exception("Unicity error") + + def cleanline(self, line): + for i in range(len(self.coeffs[line][:-1:])-1, 0-1, -1): + if len(self.coeffs[line][:-1]) - self.coeffs[line][:-1].count(0) <= 1: + return self + if self.coeffs[line][i] !=0: + self.coeffs[line][-1], self.coeffs[line][i]=self.coeffs[line][-1] - self.coeffs[line][i]*self.find(i), 0 + return self + def clean(self): + self.find(0) + return self +""" +""" +print(test) +print() +print(test.solve()) +print() +print(test.clean())""" diff --git a/Pivot/test.txt.gz b/Pivot/test.txt.gz new file mode 100644 index 0000000000000000000000000000000000000000..2ffbc9f88825778cb9acb55bea5dcb937a7fd8df GIT binary patch literal 1454240 zcmYg%WlSZo)-5);4el_wyE_c7gS)#s4DK+vyE`1*9R_!IclUE}eRJP?_sf^8AFI1v 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