From 7cf3db184320a454e545882408b8c2f561ef0cdb Mon Sep 17 00:00:00 2001
From: Christian Clauss <cclauss@me.com>
Date: Tue, 6 Aug 2019 21:32:27 +0200
Subject: [PATCH] Add test for QuadraticEquation() (#1107)

---
 maths/quadratic_equations_complex_numbers.py | 64 ++++++++++----------
 1 file changed, 32 insertions(+), 32 deletions(-)

diff --git a/maths/quadratic_equations_complex_numbers.py b/maths/quadratic_equations_complex_numbers.py
index c3842fee5..8f9750860 100644
--- a/maths/quadratic_equations_complex_numbers.py
+++ b/maths/quadratic_equations_complex_numbers.py
@@ -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()