import bpy
import math
# Create a sphere object
bpy.ops.mesh.primitive_uv_sphere_add(radius=1.0, location=(0.0, 0.0, 0.0))
# Set start and end frames
start_frame = 1
end_frame = 100
# Define the start, middle, and end positions
start_pos = (0.0, 0.0, 0.0)
middle_pos = (30.0, 0.0, 0.0)
end_pos = (0.0, -30.0, 0.0)
# Calculate the distance between start_pos and middle_pos, and between middle_pos and end_pos
start_middle_dist = math.sqrt((start_pos[0]-middle_pos[0])**2 + (start_pos[1]-middle_pos[1])**2 + (start_pos[2]-middle_pos[2])**2)
middle_end_dist = math.sqrt((middle_pos[0]-end_pos[0])**2 + (middle_pos[1]-end_pos[1])**2 + (middle_pos[2]-end_pos[2])**2)
# Calculate the time it takes to move from start_pos to middle_pos and from middle_pos to end_pos
start_middle_time = int((end_frame - start_frame) * (start_middle_dist / (start_middle_dist + middle_end_dist)) * 1.41)
middle_end_time = int((end_frame - start_frame) * (middle_end_dist / (start_middle_dist + middle_end_dist)) * 1.0)
# Move the sphere to the middle point over the first half of the animation time
for i in range(start_frame, start_frame + start_middle_time + 1):
frame_factor = ((i-start_frame)/(start_middle_time) * 2)**0.5
bpy.context.scene.frame_set(i)
bpy.context.object.location = tuple(s*(1-frame_factor) + m*frame_factor for s,m in zip(start_pos, middle_pos))
bpy.context.object.keyframe_insert(data_path="location", index=-1)
# Move the sphere from the middle point to the end point over the second half of the animation time
for i in range(start_frame + start_middle_time + 1, end_frame + 1):
frame_factor = ((i-start_frame-start_middle_time)/(middle_end_time) * 2)**0.5
bpy.context.scene.frame_set(i)
bpy.context.object.location = tuple(m*(1-frame_factor) + e*frame_factor for m,e in zip(middle_pos, end_pos))
bpy.context.object.keyframe_insert(data_path="location", index=-1)
# Check if the sphere has reached the end position
if bpy.context.object.location == end_pos:
break
# Repeat the animation for 5 seconds
bpy.context.scene.frame_end = end_frame + 100
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