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personaljob.py

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+# Set the width and height of the window
+width, height = 1100, 600
+
+# Define the region of the complex plane to visualize
+xmin, xmax = -2, 1
+ymin, ymax = -1, 1
+
+# Set the maximum number of iterations for the Mandelbrot calculation
+max_iterations = 1000
+
+import pygame
+
+pygame.init()
+
+# Create a window
+screen = pygame.display.set_mode((width, height))
+pygame.display.set_caption("Mandelbrot Set")
+
+def mandelbrot(c):
+    z = 0
+    for i in range(max_iterations):
+        z = z**2 + c
+        if abs(z) > 2:
+            return i
+    return max_iterations
+
+def update_display():
+    for x in range(width):
+        for y in range(height):
+            # Map pixel coordinates to complex plane coordinates
+            real = xmin + (x / width) * (xmax - xmin)
+            imag = ymin + (y / height) * (ymax - ymin)
+            
+            # Create a complex number from the coordinates
+            c = complex(real, imag)
+            
+            # Calculate Mandelbrot value for the complex number
+            iterations = mandelbrot(c)
+            
+            # Set pixel color based on the number of iterations
+            color = (iterations % 256, iterations % 256, iterations % 256)
+            screen.set_at((x, y), color)
+    
+    pygame.display.flip()
+
+# Run the Pygame event loop
+running = True
+zoomed = False  # Variable to track whether a zoom has occurred
+
+while running:
+    for event in pygame.event.get():
+        if event.type == pygame.QUIT:
+            running = False
+        elif event.type == pygame.MOUSEBUTTONDOWN:
+            if event.button == 1:  # Left mouse button
+                # Get the coordinates of the mouse click
+                click_x, click_y = event.pos
+                
+                # Calculate the new region based on the clicked point
+                click_complex = complex(
+                    xmin + (click_x / width) * (xmax - xmin),
+                    ymin + (click_y / height) * (ymax - ymin)
+                )
+                
+                # Define a zoom factor
+                zoom_factor = 0.5  # You can adjust this value for different zoom levels
+                
+                # Update the region to zoom in on the clicked point
+                xmin = click_complex.real - (xmax - xmin) * zoom_factor / 2
+                xmax = click_complex.real + (xmax - xmin) * zoom_factor / 2
+                ymin = click_complex.imag - (ymax - ymin) * zoom_factor / 2
+                ymax = click_complex.imag + (ymax - ymin) * zoom_factor / 2
+                
+                # Set the zoomed variable to True
+                zoomed = True
+
+    # Only update the display if a zoom has occurred
+    if zoomed:
+        update_display()
+        zoomed = False  # Reset the variable
+
+# Quit Pygame
+pygame.quit()