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If (dimension(destination_processor) - dimension(start_processor)) = 0, then #needed_links = 0
In each dimension a message should not move more far than its destination processor:
For x, y, z: if (dimension(destination_processor) - dimension(start_processor)) > 0, then dimension(needed_links) <= dimension(destination_processor)
For x, y, z: if (dimension(destination_processor) - dimension(start_processor)) < 0, then dimension(needed_links) >= dimension(destination_processor)
In each dimension a message should not move away from the shortest path to its destination processor / move in the wrong direction :
If (dimension(destination_processor) - dimension(start_processor)) > 0, then dimension(needed_links) >= dimension(start_processor)
If (dimension(destination_processor) - dimension(start_processor)) < 0, then dimension(needed_links) <= dimension(start_processor)
These rules are only allowing the shortest path between the start and destination processor, but this is maybe too restricting.
If the shortest path is blocked due to a different communication, a bit longer path might be a good option as well?? (Better path, if blocking_time(shortest path) > time(2 * #steps_done_too_far) for x, y, z )
Some links do not have be considered during Grounding if a message cannot traverse this link.
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