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src/java.base/share/classes/java/math/RoundingMode.java
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* <p>This {@code enum} is intended to replace the integer-based
* enumeration of rounding mode constants in {@link BigDecimal}
* ({@link BigDecimal#ROUND_UP}, {@link BigDecimal#ROUND_DOWN},
* etc. ).
*
+ * @apiNote
+ * Five of the rounding modes defined in this class correspond to
+ * rounding direction attributes defined in IEEE 754-2019. Where
+ * present, this correspondence will be noted in the documentation of
+ * the particular constant.
+ *
* @see BigDecimal
* @see MathContext
* @author Josh Bloch
* @author Mike Cowlishaw
* @author Joseph D. Darcy
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/**
* Rounding mode to round 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.
+ * This mode corresponds to the IEEE 754-2019 rounding
+ * attribute roundTowardZero.
*
*<p>Example:
*<table class="striped">
* <caption>Rounding mode DOWN Examples</caption>
*<thead>
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/**
* Rounding mode to round towards positive infinity. If the
* result is positive, behaves as for {@code RoundingMode.UP};
* if negative, behaves as for {@code RoundingMode.DOWN}. Note
* that this rounding mode never decreases the calculated value.
+ * This mode corresponds to the IEEE 754-2019 rounding
+ * attribute roundTowardPositive.
*
*<p>Example:
*<table class="striped">
* <caption>Rounding mode CEILING Examples</caption>
*<thead>
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/**
* Rounding mode to round towards negative infinity. If the
* result is positive, behave as for {@code RoundingMode.DOWN};
* if negative, behave as for {@code RoundingMode.UP}. Note that
* this rounding mode never increases the calculated value.
+ * This mode corresponds to the IEEE 754-2019 rounding
+ * attribute roundTowardNegative.
*
*<p>Example:
*<table class="striped">
* <caption>Rounding mode FLOOR Examples</caption>
*<thead>
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* unless both neighbors are equidistant, in which case round up.
* Behaves as for {@code RoundingMode.UP} if the discarded
* fraction is ≥ 0.5; otherwise, behaves as for
* {@code RoundingMode.DOWN}. Note that this is the rounding
* mode commonly taught at school.
+ * This mode corresponds to the IEEE 754-2019 rounding
+ * attribute roundTiesToAway.
*
*<p>Example:
*<table class="striped">
* <caption>Rounding mode HALF_UP Examples</caption>
*<thead>
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* error when applied repeatedly over a sequence of calculations.
* It is sometimes known as {@literal "Banker's rounding,"} and is
* chiefly used in the USA. This rounding mode is analogous to
* the rounding policy used for {@code float} and {@code double}
* arithmetic in Java.
+ * This mode corresponds to the IEEE 754-2019 rounding
+ * attribute roundTiesToEven.
*
*<p>Example:
*<table class="striped">
* <caption>Rounding mode HALF_EVEN Examples</caption>
*<thead>
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