Double-precision floating point extraction operation method and system

A double-precision, floating-point technology, applied in computing, instrumentation, electrical digital data processing, etc., can solve the problems of increasing iteration times, complex logic, computing speed, resource consumption, etc., to solve error amplification and improve computing efficiency , the effect of reducing the error
CN108196822AActive Publication Date: 2018-06-22BEIJING SATELLITE INFORMATION ENG RES INST
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Patent Information

Authority / Receiving Office
CN Β· China
Current Assignee / Owner
BEIJING SATELLITE INFORMATION ENG RES INST
Publication Date
2018-06-22

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Abstract

The invention relates to a double-precision floating point extraction operation method and system. The method comprises the steps that 1, a 64-bit double-precision floating point number is disintegrated into sign bits, orders and mantissa, a positive / negative value of a to-be-extracted number is judged based on the sign bits, exponent parity of the to-be-extracted number is judged based on the orders, the mantissa is shifted according to the exponent parity, and the sign bits and exponents obtained after operation are stored into an RAM; 2, the mantissa part of the to-be-extracted number is input into an extraction module, extraction operation is performed on a magnified 106-bit fixed-point number through a CORDIC algorithm, a correction coefficient K value is processed through shift operation in an FPGA, an auxiliary parameter COMPLE is calculated according to the value of the mantissa, and meanwhile repeated iteration is performed during partial iterative operation (i,3i+1 times) inoperation of the 106-bit fixed-point number; and 3, arithmetic square roots of the mantissa are output, and after special values are isolated, the rest is combined with the sign bits and the exponentsin the RAM to complete double-precision floating point number extraction operation. Through the double-precision floating point extraction operation method and system, operation efficiency can be substantially improved.
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Description

technical field

[0001] The invention belongs to the application field of digital signal processing, and relates to an algorithm of square root operation of a double-precision floating-point number and a realization method thereof. Background technique

[0002] In modern digital signal processing, addition, subtraction, multiplication and division are the most frequently used operations. Although the square root operation is not as widely used as the above-mentioned operations, as a basic mathematical operation, it still has important applications in engineering practice, such as trigonometry, quadratic equation solving, numerical analysis, probability statistics, image processing In other fields, there are many different algorithms for square root calculation, for example, Newton iterative method, SRT-redundant algorithm, non-redundant algorithm, CORDIC algorithm, etc. After analysis, this design adopts the algorithm of Coordinate Rotation Digital Computer (CORDIC), which i...

Claims

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