[pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

Author: pre-commit-ci[bot]

graphics/bezier_curve.py

@@ -84,13 +84,13 @@ def derivative(self, t: float) -> tuple[float, float]:
         dx = 0.0
         dy = 0.0
         for i in range(n):
-            coeff = comb(n - 1, i) * ((1 - t) ** (n - 1 - i)) * (t ** i)
+            coeff = comb(n - 1, i) * ((1 - t) ** (n - 1 - i)) * (t**i)
             delta_x = self.list_of_points[i + 1][0] - self.list_of_points[i][0]
             delta_y = self.list_of_points[i + 1][1] - self.list_of_points[i][1]
             dx += coeff * delta_x * n
             dy += coeff * delta_y * n
         return (dx, dy)
-    
+
     def plot_curve(self, step_size: float = 0.01):
         """
         Plots the Bezier curve using matplotlib plotting capabilities.
@@ -131,7 +131,7 @@ def plot_curve(self, step_size: float = 0.01):
     BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
     BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
     BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3
-    
+
     # Test derivative method
     curve = BezierCurve([(0, 0), (5, 5), (5, 0)])
     print("Derivative at t=0.0:", curve.derivative(0.0))