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accurate software accurate check md5 sum utility accurate weather sum sudoku excel macro sum workbook zero sum game
Description - More accurate sum
Built-in "sum" function, as well as add.reduce functions in Numeric/Numarray introduce a large error when summing large arrays of like elements. I got relative error of about 1e-9 after summing 10 million doubles Between 0 and 1. Function below has error less than 1e-15, doesn`t use any additional memory (although it destroys the data array), and also runs asymptotically FASTER for unlimited Precision numbers.
