IPC classes for russian patent Apparatus for boundary composite coding in interval computations. RU patent 2497180. (RU 2497180):
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FIELD: information technology.
SUBSTANCE: apparatus includes flip-flops, registers, ROM, subtractors, adders, multiplexers, shifters, a comparator unit, modulo two adders, AND and OR elements and a priority encoder.
EFFECT: high accuracy of stored results of interval computations in floating point format, while maintaining overall code length of the upper and lower boundaries of an arithmetic interval.
5 dwg
The invention relates to the technique of organization of interval computations in the floating point format and is aimed at improving the accuracy of estimating the interval boundaries at a given bit of code that is stored in the computer memory. It is assumed that the intermediate calculations can be made with a higher bit depth than the bitness of the numbers stored in the computer memory. The proposed device uses 64 bits to joint coding of the two boundaries of the interval arithmetic.
Known method and apparatus for submission of arithmetic intervals in a computing system (US 6658443 B1, 02.12.2003).
The system performs arithmetic operations on the rules of interval arithmetic, receiving the result of the calculation in the form of interval. The resulting interval is represented the first number in the floating point format, which is the first boundary of the interval and the second number in the floating point format, which is the second boundary of the interval. Both numbers representing the limit of the interval, whatever is written in the memory of a computer.
The essence of technical solutions is manifested in situations when the intervals become very large, i.e. when the significance of the result is largely lost.
A drawback of the system is the low accuracy of the method is provoking a situation of having large intervals, representing the results of calculations.
Known computer system of interval computing, is closest to its technical nature of the present invention, and selected as a prototype (EN 2006929 C1, 30.01.1994).
This computer system contains the first and second modules of memory to store numbers that are the upper and lower boundaries of the intervals, two arithmetic device to calculate the upper and lower bounds group multiplexers that are broadcasting chosen from memory in arithmetic units and transfer of recordable of arithmetic units in code memory intervals.
In the course of computation of two memory modules simultaneously is extracted upper and lower limits of the first interval, then simultaneously retrieved upper and lower limits of the second interval. Read from the memory numbers of appropriately transferred to operational units carrying out calculations according to the rules of interval arithmetic. The resulting calculation interval is stored in the memory as two numbers represented in floating point format.
Lack of device is selected as a prototype - a little bit width top and bottom edge, stored in memory, which leads to a rapid increase in the intervals in calculations, which, in turn, leads to excessively pessimistic estimates of the accuracy of calculation results.
The technical result of the invention is increasing the accuracy of the results of interval computations in the floating point format when saving the total bitness persistent in-memory code of the upper and lower boundaries of the interval, provided that the intermediate calculations are performed over numbers with increased bitness. The technical result is achieved due to the joint encoding stored in memory values of upper and lower boundaries of the interval computations, and to specify the mantissa numbers not subjected to rounding used 42 discharge (in the prototype only 23 discharge). The proposed device in a joint encoding close numbers allows you to save the information to a greater number of bits of the mantissa. The increased accuracy of the boundaries of the interval is ensured until one of the borders will not exceed the absolute value of another border in 32 times. Thus, whenever the results of calculations can be considered to be credible, the proposed device helps to provide greater accuracy of estimation of results of calculations.
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