Programme chap4_classe_1248_.py

# coding: latin-1
import math

class nombre_complexe(object):           # voir remarque après l'exemple
    def __init__ (self, a = 0, b= 0):
        self.a = a
        self.b = b

    def __str__ (self) :
        if   self.b == 0 : return "%f" % (self.a)
        elif self.b >  0 : return "%f + %f i" % (self.a, self.b)
        else             : return "%f - %f i" % (self.a, -self.b)

    def get_module (self):
        return math.sqrt (self.a * self.a + self.b * self.b)

    def set_module (self,m):
        r = self.get_module ()
        if r == 0:
            self.a = m
            self.b = 0
        else :
            d       = m / r
            self.a *= d
            self.b *= d

    def get_argument (self) :
        r = self.get_module ()
        if r == 0 : return 0
        else      : return math.atan2 (self.b / r, self.a / r)

    def set_argument (self,arg) :
        m       = self.get_module ()
        self.a  = m * math.cos (arg)
        self.b  = m * math.sin (arg)

    def get_conjugue (self):
        return nombre_complexe (self.a,-self.b)

    module = property (fget = get_module,   fset = set_module,   doc = "module")
    arg    = property (fget = get_argument, fset = set_argument, doc = "argument")
    conj   = property (fget = get_conjugue,                      doc = "conjugué")

c = nombre_complexe (0.5,math.sqrt (3)/2)
print "c = ",         c          # affiche c =  0.500000 + 0.866025 i
print "module = ",    c.module   # affiche module =  1.0
print "argument = ",  c.arg      # affiche argument =  1.0471975512

c           = nombre_complexe ()
c.module    = 1
c.arg       = math.pi * 2 / 3
print "c = ",         c          # affiche c =  -0.500000 + 0.866025 i
print "module = ",    c.module   # affiche module =  1.0
print "argument = ",  c.arg      # affiche argument =  2.09439510239
print "conjugué = ",  c.conj     # affiche conjugué =  -0.500000 - 0.866025 i