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- <?php
- declare(strict_types=1);
- namespace Brick\Math;
- /**
- * Specifies a rounding behavior for numerical operations capable of discarding precision.
- *
- * Each rounding mode indicates how the least significant returned digit of a rounded result
- * is to be calculated. If fewer digits are returned than the digits needed to represent the
- * exact numerical result, the discarded digits will be referred to as the discarded fraction
- * regardless the digits' contribution to the value of the number. In other words, considered
- * as a numerical value, the discarded fraction could have an absolute value greater than one.
- */
- enum RoundingMode
- {
- /**
- * Asserts that the requested operation has an exact result, hence no rounding is necessary.
- *
- * If this rounding mode is specified on an operation that yields a result that
- * cannot be represented at the requested scale, a RoundingNecessaryException is thrown.
- */
- case UNNECESSARY;
- /**
- * Rounds away from zero.
- *
- * Always increments the digit prior to a nonzero discarded fraction.
- * Note that this rounding mode never decreases the magnitude of the calculated value.
- */
- case UP;
- /**
- * Rounds towards zero.
- *
- * Never increments the digit prior to a discarded fraction (i.e., truncates).
- * Note that this rounding mode never increases the magnitude of the calculated value.
- */
- case DOWN;
- /**
- * Rounds towards positive infinity.
- *
- * If the result is positive, behaves as for UP; if negative, behaves as for DOWN.
- * Note that this rounding mode never decreases the calculated value.
- */
- case CEILING;
- /**
- * Rounds towards negative infinity.
- *
- * If the result is positive, behave as for DOWN; if negative, behave as for UP.
- * Note that this rounding mode never increases the calculated value.
- */
- case FLOOR;
- /**
- * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round up.
- *
- * Behaves as for UP if the discarded fraction is >= 0.5; otherwise, behaves as for DOWN.
- * Note that this is the rounding mode commonly taught at school.
- */
- case HALF_UP;
- /**
- * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round down.
- *
- * Behaves as for UP if the discarded fraction is > 0.5; otherwise, behaves as for DOWN.
- */
- case HALF_DOWN;
- /**
- * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards positive infinity.
- *
- * If the result is positive, behaves as for HALF_UP; if negative, behaves as for HALF_DOWN.
- */
- case HALF_CEILING;
- /**
- * Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards negative infinity.
- *
- * If the result is positive, behaves as for HALF_DOWN; if negative, behaves as for HALF_UP.
- */
- case HALF_FLOOR;
- /**
- * Rounds towards the "nearest neighbor" unless both neighbors are equidistant, in which case rounds towards the even neighbor.
- *
- * Behaves as for HALF_UP if the digit to the left of the discarded fraction is odd;
- * behaves as for HALF_DOWN if it's even.
- *
- * Note that this is the rounding mode that statistically minimizes
- * cumulative error when applied repeatedly over a sequence of calculations.
- * It is sometimes known as "Banker's rounding", and is chiefly used in the USA.
- */
- case HALF_EVEN;
- }
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