def test_radd():
"""Test to make sure the __radd__ function works."""
complexNumber = Complex(0, 3)
assert (complexNumber + 3) == Complex(3, 3), error
complexNumber = Complex(-7, -2)
assert (complexNumber + 5) == Complex(-2, -2), error
def div(self, a, b):
if isinstance(a, float):
if isinstance(b, float):
if b == 0:
raise ComputorException('Division by zero')
return a / b
elif isinstance(b, Complex):
return Complex.div(Complex(a), b)
elif isinstance(b, Matrix):
raise ComputorException('Illegal operation: Rational / Matrix')
elif isinstance(a, Complex):
if isinstance(b, float):
return Complex.div(a, Complex(b))
elif isinstance(b, Complex):
return Complex.div(a, b)
elif isinstance(b, Matrix):
raise ComputorException('Illegal operation: Complex / Matrix')
elif isinstance(a, Matrix):
if isinstance(b, float):
if b == 0:
raise ComputorException('Division by zero')
return Matrix.scalar_mul(1 / b, a)
elif isinstance(b, Complex):
raise ComputorException('Illegal operation: Matrix / Complex')
elif isinstance(b, Matrix):
return Matrix.mat_mul(a, b.get_inverse())
raise ComputorException('Computor.div(): something bad happened 🤷')
def test_adding_negatives(self):
result = Complex(-10, -20) + Complex(-1, -2)
self.assertEqual(
str(result), "-11.00 - 22.00i",
"Adding two negative complex numbers didn't print the correct value"
)
def test_adding_negative_to_positive(self):
result = Complex(10, 20) + Complex(-1, -2)
self.assertEqual(
str(result), "9.00 + 18.00i",
"Adding a negative complex to a positive complex number didn't print the correct value"
)
def test_adding_positives(self):
result = Complex(10, 20) + Complex(1, 2)
self.assertEqual(
str(result), "11.00 + 22.00i",
"Adding two positive complex numbers didn't print the correct value"
)
def test_rsub():
"""Test to make sure the __rsub__ function works."""
complexNumber = Complex(2, 0)
assert (complexNumber - 3) == Complex(-1, 0), error
complexNumber = Complex(-4, -2)
assert (complexNumber - 3) == Complex(-7, -2), error
def test_sqrt(self):
a = Complex(3,2)
a = sqrt(a)
b = complex(3,2)
b = cmath.sqrt(b)
self.assertEqual(a.re,b.real)
self.assertEqual(a.im,b.imag)
a = Complex(-3,-2)
a = sqrt(a)
b = complex(-3,-2)
b = cmath.sqrt(b)
self.assertEqual(a.re,b.real)
self.assertEqual(a.im,b.imag)
a = Complex(3,0)
a = sqrt(a)
b = complex(3,0)
b = cmath.sqrt(b)
self.assertEqual(a.re,b.real)
self.assertEqual(a.im,b.imag)
a = Complex(0,3)
a = sqrt(a)
a.re = round(a.re,2)
a.im = round(a.im,2)
b = complex(0,3)
b = cmath.sqrt(b)
breal = round(b.real,2)
bimag = round(b.imag,2)
self.assertEqual(a.re,breal)
self.assertEqual(a.im,bimag)
def test_divide_with_zero_throws_ZeroDivisionError(self):
self.assertRaises(ZeroDivisionError,
Complex(1, 2).divide, Complex(0, 3))
#if __name__ == '__main__':
# unittest.main()
def test_divide_positives(self):
result = Complex(1, 2) / Complex(2, 3)
self.assertEqual(
str(result), "0.50 + 0.67i",
"Dividing a negative complex to a positive complex number didn't print the correct value"
)
def Qubit_after_measure(qubit):
if P0(qubit) > P1(qubit):
alfa = qubit.alpha / abs(qubit.alpha)
return Qubit(alfa, Complex(0, 0))
else:
beta = qubit.beta / abs(qubit.beta)
return Qubit(Complex(0, 0), beta)
def test_multiply_positives(self):
result = Complex(1.0, 2.0) * Complex(2.0, 3.0)
self.assertEqual(
str(result), "2.00 + 6.00i",
"Multiplying a negative complex to a positive complex number didn't print the correct value"
)
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_rmul():
"""
Tests multiplication starting with a Python built-in operation
combined with an operation from our custom Complex class.
Both are complex numbers.
"""
assert ((2 + 3j) * (Complex(1, 2))) == Complex(2, 6)
def test_custom_to_python():
"""
Tests operation between our Complex class and Python's
build-in complex.
Both are complex numbers.
"""
assert (Complex(2, 3) + (2 + 2j)) == Complex(4, 5)
def test_radd():
"""
Tests addition starting with a Python built-in operation
combined with an operation from our custom Complex class
Both are complex numbers.
"""
assert ((2 + 2j) + (Complex(2, 3))) == Complex(4, 5)
def test_subract_positives(self):
result = Complex(1, 2) - Complex(2, 3)
self.assertEqual(
str(result), "-1.00 - 1.00i",
"Adding a negative complex to a positive complex number didn't print the correct value"
)
def test_equals():
"""Raises AssertionError if checking the equality of Complex objects does
not return expected values.
"""
z = Complex(11, -7)
w = Complex(11, -7)
assert z == w
def test_rsub():
"""
Tests subtraction starting with a Python built-in operation
combined with an operation from our custom Complex class.
Both are complex numbers.
"""
assert ((2 + 3j) - (Complex(1, 2))) == Complex(1, 1)
def roots(a, b, c):
check = (b**2) - (4 * a * c)
if check > 0: # 2 real roots
root1 = ((-b) + math.sqrt(check)) / (a * 2)
root2 = ((-b) - math.sqrt(check)) / (a * 2)
tup = (root1, root2)
return tup
elif check < 0: # 2 complex root
root1 = Complex()
root2 = Complex()
root1.im = math.sqrt(abs(check)) / (a * 2)
root2.im = -(math.sqrt(abs(check)) / (a * 2))
root1.re = (-b) / (a * 2)
root2.re = (-b) / (a * 2)
tup = (root1, root2)
return tup
else: # 1 real root
root1 = (-b) / (a * 2)
tup = (root1, )
return (tup)
def test_rmul():
"""Test to make sure the __rmul__ function works."""
complexNumber = Complex(2, 1)
assert (complexNumber * 2) == Complex(4, 2), error
complexNumber = Complex(-1, 4)
assert (complexNumber * 4) == Complex(-4, 16), error
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 RY(phi):
return np.array(
[[Complex(math.cos(phi / 2), 0),
Complex(0,
math.sin(phi / 2) * 1)],
[Complex(0,
math.sin(phi / 2) * (-1)),
Complex(math.cos(phi / 2), 0)]])
def test_subtraction():
"""Raises AssertionError if subtrcting Complex objects does not return
expected values.
"""
z = Complex(-5, 3)
w = Complex(11, -7)
ans = z - w
expected = Complex(-16, 10)
assert ans.real == expected.real and ans.imag == expected.imag
def build_equal_opportunity_qubit():
"""
This method creates a qubit with equal-opportunity
:return: equal-opportunity qubit
"""
equal_opportunity_number = 1 / pow(2, 0.5)
alpha_function = Complex(equal_opportunity_number, 0)
beta_function = Complex(equal_opportunity_number, 0)
return Qubit(alpha_function, beta_function)
def test_init_r(fix1, r, theta, expected_a, expected_b):
print("\n\n\nTesting init...\n")
if r < 0:
with pytest.raises(ValueError):
Complex(r=r, theta=theta)
else:
znumber = Complex(r=r, theta=theta)
assert round(znumber.a, 6) == expected_a
assert round(znumber.b, 6) == expected_b
def test_addition():
"""Raises AssertionError if adding Complex objects does not return
expected values.
"""
z = Complex(-5, 3)
w = Complex(11, -7)
ans = z + w
expected = Complex(6, -4)
assert ans.real == expected.real and ans.imag == expected.imag
def string_return():
try:
print('### String Return ###')
a = Complex(1, 2)
b = Complex(1, -2)
print(a)
print(b)
except:
print("Complex number return failed")
def construct():
try:
a = Complex(1.0, 2.3) # 1 + 2.3i
b = Complex(2) # 2 + 0i
c = Complex() # 0 + 0i
print('Class construction passed')
except:
print('Class construction failed')
def test_adding_negative_to_positive_reults_negative(self):
x = Complex(1, 2)
y = Complex(-2, -3)
result = x + y
self.assertEqual(
str(result), "-1.00 - 1.00i",
"Adding a negative complex to a positive complex number didn't print the correct value"
)
def roots(a, b, c):
n = b**2 - 4 * a * c
if n > 0:
return (-b + math.sqrt(n)) / (2 * a), (-b - math.sqrt(n)) / (2 * a)
elif n == 0:
return -b / (2 * a)
else:
real = -b / (2 * a)
imag = math.sqrt(-n) / (2 * a)
return Complex(real, imag), Complex(real, -imag)