init

main.py

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+import pygame
+from kingdon import Algebra
+import math
+
+ERROR = 0.00001
+
+alg = Algebra(2,1,0)
+locals().update(alg.blades)
+b = 2*e12
+print(b)
+
+def motor(generator):
+    bivector = generator.grade(2)
+    sqr = (bivector*bivector).grade(0).e
+    mag = bivector.norm().e
+    generator = bivector.normalized()
+    if mag < ERROR:
+            #Zero Norm
+            return 1+bivector
+    elif sqr < 0:
+        return math.cos(mag) + math.sin(mag)*generator
+    else:
+        return math.cosh(mag) + math.sinh(mag)*generator
+
+motor(1*e12)
+motor(1*e13)
+motor(1*e23)
+
+
+
+
+
+
+
+'''
+# Initialize Pygame
+pygame.init()
+
+# Set up the screen
+WIDTH, HEIGHT = 800, 600
+screen = pygame.display.set_mode((WIDTH, HEIGHT))
+pygame.display.set_caption("Clifford and Pygame Example")
+
+# Colors
+BLACK = (0, 0, 0)
+WHITE = (255, 255, 255)
+RED = (255, 0, 0)
+
+# Initial point in GA (e.g., a vector representing a point)
+# We'll represent it as a multivector with a vector component
+initial_point_ga = 100 * e1 + 50 * e2
+
+# Create a rotor for rotation (e.g., 45 degrees counter-clockwise)
+angle = math.pi / 4 # 45 degrees
+rotor = math.e**(angle * e12)
+
+# Game loop
+running = True
+while running:
+    for event in pygame.event.get():
+        if event.type == pygame.QUIT:
+            running = False
+
+    # Clear the screen
+    screen.fill(BLACK)
+
+    # Apply the rotation to the point
+    rotated_point_ga = rotor * initial_point_ga * ~rotor
+
+    # Extract the vector components for Pygame display
+    # We assume the point is a vector, so we access its e1 and e2 components
+    x_coord = rotated_point_ga.value[e1.index] + WIDTH // 2  # Adjust for screen center
+    y_coord = -rotated_point_ga.value[e2.index] + HEIGHT // 2 # Invert y for Pygame coordinates
+
+    # Draw the point
+    pygame.draw.circle(screen, RED, (int(x_coord), int(y_coord)), 5)
+
+    # Update the display
+    pygame.display.flip()
+
+# Quit Pygame
+pygame.quit()
+'''
+