An apparatus, method and program are provided for calculating a result value to a required precision of a repeating iterative sum, wherein the repeating iterative sum comprises multiple iterations of an addition using an input value. Addition is performed in a single iteration of addition as a sum operation using overlapping portions of the input value and a shifted version of the input value, wherein the shifted version of the input value has a partial overlap with the input value. At least one result portion is produced by incrementing an input derived from the input value using the output from the sum operation and the result value is constructed using the at least one result portion to give the result value to the required precision. The repeating iterative sum is thereby flattened into a flattened calculation which requires only a single iteration of addition using the input value, thus facilitating the calculation of the result value of the repeating iterative sum.