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The coefficient of the result is derived from that of the left-hand operand. It may be rounded using the current rounding setting (if the exponent is being increased), multiplied by a positive power of ten (if the exponent is being decreased), or is unchanged (if the exponent is already equal to that of the right-hand operand). Unlike other operations, if the length of the coefficient after the quantize operation would be greater than precision then an Invalid operation condition is raised. This guarantees that, unless there is an error condition, the exponent of the result of a quantize is always equal to that of the right-hand operand.

When the result is inexact, the cost of exp at precision d is likely to be at least 13×log2(d) times the cost of an inexact multiplication at the same precision (see Multiple-precision zero-finding methods and the complexity of elementary function evaluation by R. P. Brent, in Analytic Computational Complexity pp151–176, Academic Press, York, 1976, and Fast Multiple-Precision Evaluation of Elementary Functions by the same author, in Journal of the ACM (JACM), Vol 23 # 2, pp242–251, ACM, April 1976).

Calculating an integer power Subset implementations are only required to provide the power function for integer powers. To calculate this, the number (left-hand operand) is in theory multiplied by itself for the number of times expressed by the power. 43 In practice (see the note below for the reasons), the power is often calculated by the process of left-to-right binary reduction. For power(x, n): “n” is converted to binary, and a temporary accumulator is set to 1. If “n” has the value 0 then the initial calculation is complete.

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