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Add test for QuadraticEquation() (#1107)

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Christian Clauss 2019-08-06 21:32:27 +02:00 committed by GitHub
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maths/quadratic_equations_complex_numbers.py
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@ -1,39 +1,39 @@
import math
from math import sqrt
from typing import Tuple
def QuadraticEquation(a,b,c):
def QuadraticEquation(a: int, b: int, c: int) -> Tuple[str, str]:
"""
Prints the solutions for a quadratic equation, given the numerical coefficients a, b and c,
for a*x*x + b*x + c.
Ex.: a = 1, b = 3, c = -4
Solution1 = 1 and Solution2 = -4
Given the numerical coefficients a, b and c,
prints the solutions for a quadratic equation, for a*x*x + b*x + c.
>>> QuadraticEquation(a=1, b=3, c=-4)
('1.0', '-4.0')
>>> QuadraticEquation(5, 6, 1)
('-0.2', '-1.0')
"""
Delta = b*b - 4*a*c
if a != 0:
if Delta >= 0:
Solution1 = (-b + math.sqrt(Delta))/(2*a)
Solution2 = (-b - math.sqrt(Delta))/(2*a)
print("The equation solutions are: ", Solution1," and ", Solution2)
else:
"""
Treats cases of Complexes Solutions(i = imaginary unit)
Ex.: a = 5, b = 2, c = 1
Solution1 = (- 2 + 4.0 *i)/2 and Solution2 = (- 2 + 4.0 *i)/ 10
"""
if b > 0:
print("The equation solutions are: (-",b,"+",math.sqrt(-Delta),"*i)/2 and (-",b,"+",math.sqrt(-Delta),"*i)/", 2*a)
if b < 0:
print("The equation solutions are: (",b,"+",math.sqrt(-Delta),"*i)/2 and (",b,"+",math.sqrt(-Delta),"*i/",2*a)
if b == 0:
print("The equation solutions are: (",math.sqrt(-Delta),"*i)/2 and ",math.sqrt(-Delta),"*i)/", 2*a)
else:
print("Error. Please, coeficient 'a' must not be zero for quadratic equations.")
if a == 0:
raise ValueError("Coefficient 'a' must not be zero for quadratic equations.")
delta = b * b - 4 * a * c
if delta >= 0:
return str((-b + sqrt(delta)) / (2 * a)), str((-b - sqrt(delta)) / (2 * a))
"""
Treats cases of Complexes Solutions(i = imaginary unit)
Ex.: a = 5, b = 2, c = 1
Solution1 = (- 2 + 4.0 *i)/2 and Solution2 = (- 2 + 4.0 *i)/ 10
"""
snd = sqrt(-delta)
if b == 0:
return f"({snd} * i) / 2", f"({snd} * i) / {2 * a}"
b = -abs(b)
return f"({b}+{snd} * i) / 2", f"({b}+{snd} * i) / {2 * a}"
def main():
a = 5
b = 6
c = 1
QuadraticEquation(a,b,c) # The equation solutions are: -0.2 and -1.0
solutions = QuadraticEquation(a=5, b=6, c=1)
print("The equation solutions are: {} and {}".format(*solutions))
# The equation solutions are: -0.2 and -1.0
if __name__ == '__main__':
if __name__ == "__main__":
main()