def axiome_find():
"""
"""
print('\n\nAXIOME_FIND')
_=""
v=myVars()
l=[v.zCart,v.zPol,v.zCart2,v.zPol2,v.zCart3,v.zPol3,v.zPos,v.zPosPol,
v.zUn,v.zIm,v.zR,v.zI,v.zZero]
random.shuffle(l)
i=random.randint(0,len(l)-1)
a=l[i]
_+="%r "%(a.find(l)==i)
g=[v.zUn,v.zIm,v.zR,v.zI,v.zZero]
a=Complexe(4,1,1)
_+="%r "%(a.find(g)==None)
print(_+"\n")
def axiome_find():
"""
"""
print('\n\nAXIOME_FIND')
_ = ""
v = myVars()
l = [
v.zCart, v.zPol, v.zCart2, v.zPol2, v.zCart3, v.zPol3, v.zPos,
v.zPosPol, v.zUn, v.zIm, v.zR, v.zI, v.zZero
]
random.shuffle(l)
i = random.randint(0, len(l) - 1)
a = l[i]
_ += "%r " % (a.find(l) == i)
g = [v.zUn, v.zIm, v.zR, v.zI, v.zZero]
a = Complexe(4, 1, 1)
_ += "%r " % (a.find(g) == None)
print(_ + "\n")
def main_basique():
print('INIT et GETTER SETTER')
print('A DEVIENT EST CARTESIEN')
a = Complexe(0, 0, 1)
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print("a.isCartesien : ", a.isCartesien)
print("a.isPolaire : ", a.isPolaire)
print('A DEVIENT I+1')
a.reel = 1
a.imag = 1
print("a.reel=1; a.reel : ", a.reel)
print("a.imag=1; a.imag : ", a.imag)
print('pi/4 : ', pi / 4)
print('sqrt(2) : ', sqrt(2))
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print('MODULE DEVIENT 1')
a.module = 1
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print('argument DEVIENT pi/2')
a.argument = pi / 2
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print()
#TESTS
print('TESTS')
print('Cartesien : ')
a = Complexe(1, 2, True)
b = Complexe(1, 2, True)
c = Complexe(1, 1, True)
print('a : ', a)
print('b : ', b)
print('c : ', c)
print('a==b : ', a == b)
print('a==c : ', a == c)
print('a<b : ', a < b)
print('c<a : ', c < a)
print('Polaire : ')
a = Complexe(1.0, pi / 4, 0)
b = Complexe(2, pi / 4, 0)
c = Complexe(2, pi / 2, 0)
print('a==b : ', a == b)
print('a==c : ', a == c)
print('a<b : ', a < b)
print('c<a : ', c < a)
print()
#ADDITION:
print('ADDITION')
print('Cartesien ')
a = Complexe(1, 2, True)
b = Complexe(1, 2, True)
print('a : ', a)
print('b : ', b)
print('a+b :', a + b)
print('Polaire ')
a = Complexe(2, pi / 2, False)
b = Complexe(2, pi / 4, 0)
print('a : ', a)
print('b : ', b)
print('a+b : ', a + b)
print()
#MULTIPLICATION
print('MULTIPLICATION')
print('Cartesien ')
a = Complexe(1, 1, True)
b = Complexe(1, 1, True)
print('a : ', a)
print('b : ', b)
print('a*b : ', a * b)
a = Complexe(1, 2, True)
b = Complexe(1, 2, True)
print('a : ', a)
print('b : ', b)
print('a*b : ', a * b)
print('Polaire ')
a = Complexe(1, pi / 2, 0)
b = Complexe(2, pi / 4, 0)
print('a : ', a)
print('b : ', b)
print('3pi/4 : ', 3 * pi / 4)
print('a*b : ', a * b)
print()
#OPPOSE
print('OPPOSE')
print('Cartesien : ')
a = Complexe(-3, 0, True)
print('a : ', a)
print('a.oppose : ', a.oppose)
print('a.cartesien : ', a.cartesien)
print('a.polaire : ', a.polaire)
print('a.oppose.cartesien : ', a.oppose.cartesien)
print('a.oppose.polaire : ', a.oppose.polaire)
print('Polaire : ')
a = Complexe(2, pi, 0)
print('a : ', a)
print('a.oppose : ', a.oppose)
print('a.cartesien : ', a.cartesien)
print('a.polaire : ', a.polaire)
print('a.oppose.cartesien : ', a.oppose.cartesien)
print('a.oppose.polaire : ', a.oppose.polaire)
print()
#INVERSE
print('INVERSE')
print('Cartesien ')
a = Complexe(1, 1, 1)
print('a : ', a)
print(a.inverse)
print('Polaire ')
a = Complexe(2, 2 * pi / 3, 0)
print('a : ', a)
print(a.inverse)
print()
#CONJUGUE
print('CONJUGUE')
print('Cartesien')
a = Complexe(1, 2, 1)
print('a : ', a)
print(a.conjugue)
print('Polaire')
a = Complexe(1, 5 * pi / 6, 0)
print('a : ', a)
print(a.conjugue)
print()
#VALEUR ABSOLUE
print('VALEUR ABSOLUE')
print('Cartesien')
a = Complexe(1, 1, 1)
print('a : ', a)
print(abs(a))
print(sqrt(0.5))
print(abs(a.inverse))
print('Polaire')
a = Complexe(87, pi / 3, 0)
print('a : ', a)
print(abs(a))
print()
#SOUSTRACTION
print('SOUSTRACTION')
print('Cartesien')
a = Complexe(1, 1, 1)
b = Complexe(1, -3, 1)
print('a : ', a)
print('b : ', b)
print('a-b : ', a - b)
print('Polaire')
a = Complexe(sqrt(2), pi / 4, 0)
b = Complexe(1, pi / 2, 0)
print('a : ', a)
print('b : ', b)
print('a-b : ', a - b)
print()
#DIVISION
print('DIVISION')
print('Cartesien: ')
a = Complexe(1, 1, 1)
print('a : ', a)
print('a/a : ', a / a)
print('Polaire : ')
a = Complexe(42, pi / 2, 0)
b = Complexe(2, pi / 4, 0)
print('a : ', a)
print('b : ', b)
print('pi/4 ', (pi / 4))
print('a/b : ', a / b)
print()
#PUISSANCE ENTIERE
print('PUISSANCE ENTIERE')
print('Cartesien')
a = Complexe(1, 1, 1)
print('a : ', a)
print('a**2 : ', a**2)
print('a**3 : ', a**3)
print('a**4 : ', a**4)
print('Polaire')
a = Complexe(1, pi, 0)
print('a : ', a)
print('a**2 : ', a**2)
print('a**3 : ', a**3)
print('a**4 : ', a**4)
print()
#CHERCHE DANS LISTE DE COMPLEXES
print('CHERCHE')
l = [Complexe(i, j, 1) for i in range(2) for j in range(5)]
print(l)
print()
g = [Complexe(i, j, 0) for i in range(2) for j in range(5)]
print(g)
a = Complexe(1, 4, 1)
print('a : ', a)
print('a.find(l) : ', a.find(l))
print('a.find(g) : ', a.find(g))
a = Complexe(1, 4, 0)
print('a : ', a)
print('a.find(g) : ', a.find(g))
print()
#TRI LISTE DE COMPLEXES
print('TRI LISTE')
print('Cartesien')
print('Liste:')
y = [Complexe(1, 1, 1), Complexe(2, 1, 1), Complexe(1, 3, 1)]
print(y)
r = tri(y)
print('tri de la liste')
print(r)
print()
print('Nouvelle liste:')
u = [Complexe(1, 1, 1), Complexe(2, 1, 1), Complexe(1, 3, 1)] * 3
print(u)
o = tri(u)
print('tri de la liste')
print(o)
print()
print('Polaire')
print('Nouvelle liste:')
g = [Complexe(1, pi / 4, 0), Complexe(2, pi / 4, 0), Complexe(1, pi, 0)]
print(g)
h = tri(g)
print('tri de la liste')
print(h)
print()
print('Nouvelle liste:')
q = [Complexe(1, pi / 4, 0),
Complexe(2, pi / 4, 0),
Complexe(1, pi, 0)] * 3
print(q)
j = tri(q)
print('tri de la liste')
print(j)
print()
a = Complexe(1, 4 * pi, 0)
b = Complexe(1, -10 * pi, 0)
print('a : ', a)
print('b : ', b)
print('a==b :', a == b)
a = Complexe(1, 1, 1)
b = Complexe(sqrt(2), pi / 4 + 1000 * pi, 0)
print('a : ', a)
print('b : ', b)
print('a==b :', a == b)
def main_basique():
print("INIT et GETTER SETTER")
print("A DEVIENT EST CARTESIEN")
a = Complexe(0, 0, 1)
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print("a.isCartesien : ", a.isCartesien)
print("a.isPolaire : ", a.isPolaire)
print("A DEVIENT I+1")
a.reel = 1
a.imag = 1
print("a.reel=1; a.reel : ", a.reel)
print("a.imag=1; a.imag : ", a.imag)
print("pi/4 : ", pi / 4)
print("sqrt(2) : ", sqrt(2))
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print("MODULE DEVIENT 1")
a.module = 1
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print("argument DEVIENT pi/2")
a.argument = pi / 2
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print()
# TESTS
print("TESTS")
print("Cartesien : ")
a = Complexe(1, 2, True)
b = Complexe(1, 2, True)
c = Complexe(1, 1, True)
print("a : ", a)
print("b : ", b)
print("c : ", c)
print("a==b : ", a == b)
print("a==c : ", a == c)
print("a<b : ", a < b)
print("c<a : ", c < a)
print("Polaire : ")
a = Complexe(1.0, pi / 4, 0)
b = Complexe(2, pi / 4, 0)
c = Complexe(2, pi / 2, 0)
print("a==b : ", a == b)
print("a==c : ", a == c)
print("a<b : ", a < b)
print("c<a : ", c < a)
print()
# ADDITION:
print("ADDITION")
print("Cartesien ")
a = Complexe(1, 2, True)
b = Complexe(1, 2, True)
print("a : ", a)
print("b : ", b)
print("a+b :", a + b)
print("Polaire ")
a = Complexe(2, pi / 2, False)
b = Complexe(2, pi / 4, 0)
print("a : ", a)
print("b : ", b)
print("a+b : ", a + b)
print()
# MULTIPLICATION
print("MULTIPLICATION")
print("Cartesien ")
a = Complexe(1, 1, True)
b = Complexe(1, 1, True)
print("a : ", a)
print("b : ", b)
print("a*b : ", a * b)
a = Complexe(1, 2, True)
b = Complexe(1, 2, True)
print("a : ", a)
print("b : ", b)
print("a*b : ", a * b)
print("Polaire ")
a = Complexe(1, pi / 2, 0)
b = Complexe(2, pi / 4, 0)
print("a : ", a)
print("b : ", b)
print("3pi/4 : ", 3 * pi / 4)
print("a*b : ", a * b)
print()
# OPPOSE
print("OPPOSE")
print("Cartesien : ")
a = Complexe(-3, 0, True)
print("a : ", a)
print("a.oppose : ", a.oppose)
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print("a.oppose.cartesien : ", a.oppose.cartesien)
print("a.oppose.polaire : ", a.oppose.polaire)
print("Polaire : ")
a = Complexe(2, pi, 0)
print("a : ", a)
print("a.oppose : ", a.oppose)
print("a.cartesien : ", a.cartesien)
print("a.polaire : ", a.polaire)
print("a.oppose.cartesien : ", a.oppose.cartesien)
print("a.oppose.polaire : ", a.oppose.polaire)
print()
# INVERSE
print("INVERSE")
print("Cartesien ")
a = Complexe(1, 1, 1)
print("a : ", a)
print(a.inverse)
print("Polaire ")
a = Complexe(2, 2 * pi / 3, 0)
print("a : ", a)
print(a.inverse)
print()
# CONJUGUE
print("CONJUGUE")
print("Cartesien")
a = Complexe(1, 2, 1)
print("a : ", a)
print(a.conjugue)
print("Polaire")
a = Complexe(1, 5 * pi / 6, 0)
print("a : ", a)
print(a.conjugue)
print()
# VALEUR ABSOLUE
print("VALEUR ABSOLUE")
print("Cartesien")
a = Complexe(1, 1, 1)
print("a : ", a)
print(abs(a))
print(sqrt(0.5))
print(abs(a.inverse))
print("Polaire")
a = Complexe(87, pi / 3, 0)
print("a : ", a)
print(abs(a))
print()
# SOUSTRACTION
print("SOUSTRACTION")
print("Cartesien")
a = Complexe(1, 1, 1)
b = Complexe(1, -3, 1)
print("a : ", a)
print("b : ", b)
print("a-b : ", a - b)
print("Polaire")
a = Complexe(sqrt(2), pi / 4, 0)
b = Complexe(1, pi / 2, 0)
print("a : ", a)
print("b : ", b)
print("a-b : ", a - b)
print()
# DIVISION
print("DIVISION")
print("Cartesien: ")
a = Complexe(1, 1, 1)
print("a : ", a)
print("a/a : ", a / a)
print("Polaire : ")
a = Complexe(42, pi / 2, 0)
b = Complexe(2, pi / 4, 0)
print("a : ", a)
print("b : ", b)
print("pi/4 ", (pi / 4))
print("a/b : ", a / b)
print()
# PUISSANCE ENTIERE
print("PUISSANCE ENTIERE")
print("Cartesien")
a = Complexe(1, 1, 1)
print("a : ", a)
print("a**2 : ", a ** 2)
print("a**3 : ", a ** 3)
print("a**4 : ", a ** 4)
print("Polaire")
a = Complexe(1, pi, 0)
print("a : ", a)
print("a**2 : ", a ** 2)
print("a**3 : ", a ** 3)
print("a**4 : ", a ** 4)
print()
# CHERCHE DANS LISTE DE COMPLEXES
print("CHERCHE")
l = [Complexe(i, j, 1) for i in range(2) for j in range(5)]
print(l)
print()
g = [Complexe(i, j, 0) for i in range(2) for j in range(5)]
print(g)
a = Complexe(1, 4, 1)
print("a : ", a)
print("a.find(l) : ", a.find(l))
print("a.find(g) : ", a.find(g))
a = Complexe(1, 4, 0)
print("a : ", a)
print("a.find(g) : ", a.find(g))
print()
# TRI LISTE DE COMPLEXES
print("TRI LISTE")
print("Cartesien")
print("Liste:")
y = [Complexe(1, 1, 1), Complexe(2, 1, 1), Complexe(1, 3, 1)]
print(y)
r = tri(y)
print("tri de la liste")
print(r)
print()
print("Nouvelle liste:")
u = [Complexe(1, 1, 1), Complexe(2, 1, 1), Complexe(1, 3, 1)] * 3
print(u)
o = tri(u)
print("tri de la liste")
print(o)
print()
print("Polaire")
print("Nouvelle liste:")
g = [Complexe(1, pi / 4, 0), Complexe(2, pi / 4, 0), Complexe(1, pi, 0)]
print(g)
h = tri(g)
print("tri de la liste")
print(h)
print()
print("Nouvelle liste:")
q = [Complexe(1, pi / 4, 0), Complexe(2, pi / 4, 0), Complexe(1, pi, 0)] * 3
print(q)
j = tri(q)
print("tri de la liste")
print(j)
print()
a = Complexe(1, 4 * pi, 0)
b = Complexe(1, -10 * pi, 0)
print("a : ", a)
print("b : ", b)
print("a==b :", a == b)
a = Complexe(1, 1, 1)
b = Complexe(sqrt(2), pi / 4 + 1000 * pi, 0)
print("a : ", a)
print("b : ", b)
print("a==b :", a == b)
