Research on error accumulative sum of single precision floating point
Baiming Feng · Journal of Computer Applications · 2013
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.