fixup! Format Python code with psf/black push

Author: github-actions

maths/area_under_curve.py

@@ -4,10 +4,13 @@
 
 from typing import Callable, Union
 
-def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
-                     x_start: Union[int, float],
-                     x_end: Union[int, float],
-                     steps: int = 100) -> float:
+
+def trapezoidal_area(
+    fnc: Callable[[Union[int, float]], Union[int, float]],
+    x_start: Union[int, float],
+    x_end: Union[int, float],
+    steps: int = 100,
+) -> float:
     """
     Treats curve as a collection of linear lines and sums the area of the
     trapezium shape they form
@@ -34,22 +37,23 @@ def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
     for i in range(steps):
         # Approximates small segments of curve as linear and solve
         # for trapezoidal area
-        x2 = (x_end - x_start)/steps + x1
+        x2 = (x_end - x_start) / steps + x1
         fx2 = fnc(x2)
-        area += abs(fx2 + fx1) * (x2 - x1)/2
+        area += abs(fx2 + fx1) * (x2 - x1) / 2
         # Increment step
         x1 = x2
         fx1 = fx2
     return area
 
 
 if __name__ == "__main__":
+
     def f(x):
-        return x**3 + x**2
+        return x ** 3 + x ** 2
 
     print("f(x) = x^3 + x^2")
     print("The area between the curve, x = -5, x = 5 and the x axis is:")
     i = 10
     while i <= 100000:
         print(f"with {i} steps: {trapezoidal_area(f, -5, 5, i)}")
-        i*=10
+        i *= 10

maths/armstrong_numbers.py

@@ -24,7 +24,7 @@ def armstrong_number(n: int) -> bool:
     """
     if not isinstance(n, int) or n < 1:
         return False
-    
+
     # Initialization of sum and number of digits.
     sum = 0
     number_of_digits = 0
@@ -37,7 +37,7 @@ def armstrong_number(n: int) -> bool:
     temp = n
     while temp > 0:
         rem = temp % 10
-        sum += (rem ** number_of_digits)
+        sum += rem ** number_of_digits
         temp //= 10
     return n == sum
 
@@ -50,7 +50,7 @@ def main():
     print(f"{num} is {'' if armstrong_number(num) else 'not '}an Armstrong number.")
 
 
-if __name__ == '__main__':
+if __name__ == "__main__":
     import doctest
 
     doctest.testmod()

maths/line_length.py

@@ -1,10 +1,13 @@
 from typing import Callable, Union
 import math as m
 
-def line_length(fnc: Callable[[Union[int, float]], Union[int, float]],
-                x_start: Union[int, float],
-                x_end: Union[int, float],
-                steps: int = 100) -> float:
+
+def line_length(
+    fnc: Callable[[Union[int, float]], Union[int, float]],
+    x_start: Union[int, float],
+    x_end: Union[int, float],
+    steps: int = 100,
+) -> float:
 
     """
     Approximates the arc length of a line segment by treating the curve as a
@@ -48,10 +51,11 @@ def line_length(fnc: Callable[[Union[int, float]], Union[int, float]],
 
     return length
 
+
 if __name__ == "__main__":
 
     def f(x):
-        return m.sin(10*x)
+        return m.sin(10 * x)
 
     print("f(x) = sin(10 * x)")
     print("The length of the curve from x = -10 to x = 10 is:")

maths/numerical_integration.py

@@ -4,10 +4,13 @@
 
 from typing import Callable, Union
 
-def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
-                     x_start: Union[int, float],
-                     x_end: Union[int, float],
-                     steps: int = 100) -> float:
+
+def trapezoidal_area(
+    fnc: Callable[[Union[int, float]], Union[int, float]],
+    x_start: Union[int, float],
+    x_end: Union[int, float],
+    steps: int = 100,
+) -> float:
 
     """
     Treats curve as a collection of linear lines and sums the area of the
@@ -39,9 +42,9 @@ def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
 
         # Approximates small segments of curve as linear and solve
         # for trapezoidal area
-        x2 = (x_end - x_start)/steps + x1
+        x2 = (x_end - x_start) / steps + x1
         fx2 = fnc(x2)
-        area += abs(fx2 + fx1) * (x2 - x1)/2
+        area += abs(fx2 + fx1) * (x2 - x1) / 2
 
         # Increment step
         x1 = x2
@@ -52,12 +55,12 @@ def trapezoidal_area(fnc: Callable[[Union[int, float]], Union[int, float]],
 if __name__ == "__main__":
 
     def f(x):
-        return x**3
+        return x ** 3
 
     print("f(x) = x^3")
     print("The area between the curve, x = -10, x = 10 and the x axis is:")
     i = 10
     while i <= 100000:
         area = trapezoidal_area(f, -5, 5, i)
         print("with {} steps: {}".format(i, area))
-        i*=10
+        i *= 10