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Rounding Numbers: Difference between revisions
→MARF - A Mutually Agreed Rounding Function?!
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[[Image:ROUNDNUM.zip| Download Roundnum.fnc (zipfile)]] | [[Image:ROUNDNUM.zip| Download Roundnum.fnc (zipfile)]] | ||
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// =========================================================================== | |||
// | |||
// The ROUND_NUMBER global function has been designed to return the rounded | |||
// value of a given 'numeric' argument at a specified rounding precision. | |||
// | |||
// The function requires two arguments, as follows:- | |||
// | |||
// (a) The numeric value to be rounded, where the range of valid values is | |||
// +/- 99,999,999,999,999.99999999. | |||
// | |||
// (b) The rounding precision required. This must be an integer value in the | |||
// range -13 to +8. If a value outside this range is used, the nearest | |||
// threshold value is substituted. | |||
// | |||
// Values in the range +1 to +7 perform rounding on the decimal part of | |||
// the number. A value of +8 will perform no rounding at all. A zero | |||
// value will round to the nearest whole number. Values -1 to -13 will | |||
// round progressively to the left of the decimal point (a frequent | |||
// requirement in financial reporting). | |||
// | |||
// If the result of the rounding produces a value outside the valid numeric | |||
// range (+/- 99,999,999,999,999.99999999) then a zero value is returned. | |||
// | |||
// Assumptions:- The only assumptions made have been that the range of | |||
// numeric values and the limit of eight decimal places are unlikely to change | |||
// in the forseeable future. | |||
// | |||
// Examples:- | |||
// | |||
// 1st Argument 2nd Argument Return Value | |||
// ------------ ------------ ------------ | |||
// 123456.87654321 8 123456.87654321 | |||
// 123456.87654321 2 123456.88 | |||
// -123456.87654321 2 -123456.88 | |||
// 123456.98765432 0 123457 | |||
// -123456.98765432 -1 -123460 | |||
// 123456.98765432 -2 123500 | |||
// 123456.98765432 -3 123000 | |||
// 987654 -4 990000 | |||
// 987654 -5 1000000 | |||
// 987654 -6 1000000 | |||
// 987654 -7 0 | |||
// | |||
// =========================================================================== | |||
Function Round_Number GLOBAL number nVal integer iRnd returns Number | |||
// If the rounding precision falls in the range -5 to +8, then return:- | |||
If (iRnd >= -5) Function_Return ; | |||
(Number(Abs(nVal) / nVal) * 0.5 / (Number(10 ^ (iRnd min 8))) + nVal ; | |||
/ (Number(10 ^ (8 - (iRnd min 8)))) * (Number(10 ^ (8 - (iRnd min 8))))) | |||
// Else, where the rounding precision is in the range -6 to -13, return:- | |||
Function_Return ; | |||
(Number(Abs(nVal) / nVal) * 0.5 * (Number(10 ^ (Abs(iRnd) min 13))) ; | |||
+ nVal / (Number(10 ^ 13)) / (Number(10 ^ ((Abs(iRnd) - 5) min 8))) ; | |||
* (Number(10 ^ 13)) * (Number(10 ^ ((Abs(iRnd) - 5) min 8)))) | |||
End_Function | |||