Method of diagnosing FPGA with use of geometrical images

Objects of technical diagnosing in the form of FPGA are complex and do not suppose full and compact representation by the table, a matrix, graph etc. In this connection in this article is offered to use as mathematical models of FPGA geometrical images of laws of functioning of state machine. At the representation of the state machine by geometrical image corresponding automata mapping will be transformed to the dot numerical graph with the points located on geometrical curves. At such task of laws of functioning of the state machines a capacity of sets of conditions and signals of the state machine can be infinite or, for convenience of mathematical calculations, rely infinite.