def fx(a,b,c):
t = b*b - 4*a*c
if t >= 0:
return (-b + math.sqrt(t))/2/a,(-b - math.sqrt(t))/2/a
else:
b = Complex(b,0)
a = Complex(a,0)
k = Complex(0,math.sqrt(-t))
p = 1/(a.conjugate()*a)._re
x1 = (Complex(-1,0)*b + k)*Complex(.5,0)*a.conjugate()*Complex(p,0)
x2 = (Complex(-1,0)*b - k)*Complex(.5,0)*a.conjugate()*Complex(p,0)
return x1,x2
def test_conjugate_complex():
"""Tests that the conjugate function in complex.py works
Loops through the first list of z values and appends
the result of the conjugation to a new list, then compares
that list of computed values to a list of correct answers.
"""
# Hand-calculated values to test against
z_real_list = [(-6, -3), (-3, 6), (0, -2), (3, 3), (7, 0)]
z_computed_list = []
for i in range(val_len):
if isinstance(z1_values[i], (float, int)):
z = Complex(z1_values[i])
else:
z = Complex(z1_values[i][0], z1_values[i][1])
z_computed = z.conjugate()
z_computed_list.append(z_computed())
for i in range(val_len):
msg = "\nError in value number %d\n\
z1 = %s \n\
z_real = %s \n\
z_computed = %s" \
% (i, z1_values[i], z_real_list[i], z_computed_list[i])
msg = msg.replace(' ', '')
assert z_real_list[i] == z_computed_list[i], msg
def test_conjugate():
"""Raises AssertionError if conjugating Complex objects does not return
expected values.
"""
z = Complex(-5, 3)
ans = z.conjugate()
expected = Complex(-5, -3)
assert ans.real == expected.real and ans.imag == expected.imag
def test_conj():
"""Test to make sure the conjugate() function works.
form:
!z = a − bi
Where z=complex number, a=real, b=imaginary
"""
complexNumber = Complex(2, 0)
assert complexNumber.conjugate() == Complex(2, 0), error
complexNumber = Complex(4, 7)
assert complexNumber.conjugate() == Complex(4, -7), error
complexNumber = Complex(0, 8)
assert complexNumber.conjugate() == Complex(0, -8), error
complexNumber = Complex(-1, -3)
assert complexNumber.conjugate() == Complex(-1, 3), error
def test_conjugate():
z1 = Complex(1, 2)
z3 = Complex(0, 2)
z4 = Complex(2, 0)
assert z1.conjugate() == Complex(1, -2), ("Conjugate of {} was equal to {}"
" and not 1-2i".format(
z1, z1.conjugate()))
assert z3.conjugate() == Complex(0,
-2), ("Conjugate of {} was equal to {} "
"and not 0-2i".format(
z3, z3.conjugate()))
assert z4.conjugate() == Complex(
2, 0), "Conjugate of {} was equal to {}" " and not 2".format(
z4, z4.conjugate())
def test_conjugate():
""" Verifies that the conjugate function works as intended """
z = Complex(0, 0)
assert z.conjugate() == Complex(0, 0) # "0"
z = Complex(4, 0)
assert z.conjugate() == Complex(4, 0) # "4"
z = Complex(0, 11)
assert z.conjugate() == Complex(0, -11) # "-11i"
z = Complex(3, 7)
assert z.conjugate() == Complex(3, -7) # "3 - 7i"
z = Complex(-9, -4)
assert z.conjugate() == Complex(-9, 4) # "-9 + 4i"
z = Complex(12, -9)
assert z.conjugate() == Complex(12, 9) # "12 + 9i"
z = Complex(-3, 7)
assert z.conjugate() == Complex(-3, -7) # "-3 - 7i"
def test_conjugate2():
z_1 = Complex(0, 1)
assert z_1.conjugate() == Complex(0, -1)
def test_conjugate__from_negative_to_positive(self):
z = Complex(8, -2)
assert z.conjugate().__str__() == "8+2i"
def test_complex_conjugate():
a1 = Complex(1, 2)
assert (a1.conjugate() == Complex(1, -2)) == True
def test_conjugate1():
z_1 = Complex(1, 0)
assert z_1.conjugate() == Complex(1, 0)
def test_conjugate_two():
x = Complex(4, 3)
assert x.conjugate() == '4-3i'
def test_complex(): x, y = Complex(2, 1), Complex(5, 6) su, sub, mul, div, mod_x, mod_y, x_angle, y_angle, x_conjugate, y_conjugate, x_log, y_log = x+y, x-y, x*y, x/y, x.mod(), y.mod(), x.angle(), y.angle(), x.conjugate(), y.conjugate(), x.log(), y.log() assert su.__str__() == '7.00+7.00i' assert sub.__str__() == '-3.00-5.00i' assert mul.__str__() == '4.00+17.00i' assert div.__str__() == '0.26-0.11i' assert mod_x.__str__() == '2.24+0.00i' assert mod_y.__str__() == '7.81+0.00i' assert x_angle.__str__() == '0.4636476090008061' assert y_angle.__str__() == '0.8760580505981934' assert x_conjugate.__str__() == '2.00-1.00i' assert y_conjugate.__str__() == '5.00-6.00i' assert x_log.__str__() == '0.80+0.46i' assert y_log.__str__() == '2.06+0.88i'
def test_conjugate_three():
x = Complex(0, 5)
assert x.conjugate() == '0-5i'
def test_conjugate_make_both_numbers_negative(self):
z = Complex(-9, 4)
assert z.conjugate().__str__() == "-9-4i"
def test_conjugate():
a = Complex(3, 2)
assert a.conjugate() == Complex(3, -2)
def test_conjugate_from_positive_to_negative(self):
z = Complex(6, 5)
assert z.conjugate().__str__() == "6-5i"
def test_conjugate_one(): #first unit test for conjugate of complex number
x = Complex(4, 5)
assert x.conjugate() == '4-5i'
