HIGHLY EFFICIENT FORMALIZED COMPUTER MODELS FOR REPRODUCING TRANSCENDENTAL FUNCTIONS IN NON-TRADITIONAL TASK SETTINGS
DOI:
https://doi.org/10.32782/2786-9024/v4i6(38).359299Keywords:
precision computers, tabular-algorithmic methods, energy consumption, equipment costs, formalized tabular-logical method, logic-reversible method.Abstract
The work is devoted to the creation and research of highly efficient formalized models of special-purpose precision computers for solving non-traditional problems caused by the absence of analytical relationships between the values of transcendental functions and the corresponding values of ordered grid numbers in computer integrated control systems based on tabular- algorithmic methods. The use of specialized precision computing devices for controlling objects and high-speed processes in real time, where the use of general-purpose microprocessors, even with special software tools, is impossible due to the high requirements for speed, reliability, dimensions, power consumption, readiness, and equipment costs (cost). Particularly relevant is the task of hardware implementation of multi-digit special- purpose computers for high-precision reproduction of basic mathematical and transcendental functions under conditions of limited energy-time resources in a single crystal. In this regard, a promising direction is the application of formalized tabular-algorithmic methods that allow optimizing the structure of special-purpose computers without compromising the accuracy of function reproduction. The aim of the work is to create a model of a precision special-purpose computer that provides high efficiency in reproducing values in the binary number system of transcendental functions relative to an ordered grid number by using a formalized tabular logical reversible method of converting the input code set into the output using correction constants. The work verifies the effectiveness of formalized tabular-algorithmic models of precision special-purpose computers implemented by a formalized tabular logical-reversible method. The results obtained were compared with the classical tabular method of hardware implementation in terms of a set of key indicators, namely: power consumption, time required to reproduce functions, and hardware costs (cost) within a single crystal. An original formalized model of a precision computer for special purposes is proposed, which reproduces the value of a transcendental function from the corresponding ordered grid number with lower energy, time, and equipment costs, which adequately ensures an increase in the efficiency of computer-integrated systems in the fields of air navigation, defense, and space.
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