halfawayfromzero

Half away from zero is a rounding method used to convert a real number to the nearest integer, with ties resolved by moving away from zero. Specifically, numbers with a fractional part exactly 0.5 in magnitude are rounded to the next integer farther from zero; numbers with a fractional part less than 0.5 in magnitude are rounded to the nearest integer toward zero. For example, 1.5 and -1.5 become 2 and -2, while 2.4 becomes 2 and -2.4 becomes -2. This rule ensures that equal-distance values are not biased toward positive or negative results.

Examples include: 1.5 -> 2, 2.5 -> 3, -1.5 -> -2, -2.5 -> -3; 2.4 -> 2; -2.4 -> -2. The key feature is that halfway cases are resolved by moving away from zero.

In programming and computing, half away from zero is implemented by several standard functions and modes. The C standard library function round, and the C++ function std::round, perform rounding with ties away from zero. Some languages expose this behavior as a specific option or mode, such as a MidpointRounding AwayFromZero setting in certain platforms. It is commonly used in financial and numerical applications where a consistent, unbiased treatment of halfway cases is desirable, and it contrasts with other methods such as round-to-nearest-even (banker's rounding) or round-half-up.

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