Research on error accumulative sum of single precision floating point

Abstract

Alignment and normalization are needed in the process of floating point summation in computer.Normalization operation conducts rounding processing which will generate errors.Accumulated operations of floating-point numbers will result in the accumulation of error,the lack of precision of the calculations and even wrong calculation results.This paper discussed the influence of different binding order of floating-point numbers on the error of accumulative sum in the process of single precision floating-point accumulation through experimental methods,and aimed to explore the law of caused calculation errors by the binding sequence,provided a basis for a method of selective binding for computing paradigm and calculating structure as multi-core calculation,GPU computation and multi-processor calculation,and facilitated the advantage of parallel computing.