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* <th>{@code DOWN} * <th>{@code CEILING} * <th>{@code FLOOR} * <th>{@code HALF_UP} * <th>{@code HALF_DOWN} * <th>{@code HALF_EVEN} * <th>{@code UNNECESSARY} * * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> * <tr align=right> *</table> * * * <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. ). * * @see BigDecimal * @see MathContext * @author Josh Bloch * @author Mike Cowlishaw * @author Joseph D. Darcy * @since 1.5 */ public enum RoundingMode { /** * Rounding mode to round away from zero. Always increments the * digit prior to a non-zero discarded fraction. Note that this * rounding mode never decreases the magnitude of the calculated * value. * *<p>Example: *<table border> * <caption>Rounding mode UP Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code UP} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ UP(BigDecimal.ROUND_UP), /** * 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. * *<p>Example: *<table border> * <caption>Rounding mode DOWN Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code DOWN} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ DOWN(BigDecimal.ROUND_DOWN), /** * 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. * *<p>Example: *<table border> * <caption>Rounding mode CEILING Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code CEILING} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ CEILING(BigDecimal.ROUND_CEILING), /** * 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. * *<p>Example: *<table border> * <caption>Rounding mode FLOOR Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code FLOOR} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ FLOOR(BigDecimal.ROUND_FLOOR), /** * Rounding mode to round towards {@literal "nearest neighbor"} * 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. * *<p>Example: *<table border> * <caption>Rounding mode HALF_UP Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code HALF_UP} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ HALF_UP(BigDecimal.ROUND_HALF_UP), /** * Rounding mode to round towards {@literal "nearest neighbor"} * unless both neighbors are equidistant, in which case round * down. Behaves as for {@code RoundingMode.UP} if the discarded * fraction is > 0.5; otherwise, behaves as for * {@code RoundingMode.DOWN}. * *<p>Example: *<table border> * <caption>Rounding mode HALF_DOWN Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code HALF_DOWN} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ HALF_DOWN(BigDecimal.ROUND_HALF_DOWN), /** * Rounding mode to round towards the {@literal "nearest neighbor"} * unless both neighbors are equidistant, in which case, round * towards the even neighbor. Behaves as for * {@code RoundingMode.HALF_UP} if the digit to the left of the * discarded fraction is odd; behaves as for * {@code RoundingMode.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 {@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. * *<p>Example: *<table border> * <caption>Rounding mode HALF_EVEN Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code HALF_EVEN} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ HALF_EVEN(BigDecimal.ROUND_HALF_EVEN), /** * Rounding mode to assert that the requested operation has an exact * result, hence no rounding is necessary. If this rounding mode is * specified on an operation that yields an inexact result, an * {@code ArithmeticException} is thrown. *<p>Example: *<table border> * <caption>Rounding mode UNNECESSARY Examples *<tr valign=top> * <th>Input rounded to one digit
with {@code UNNECESSARY} rounding *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *<tr align=right> *</table> */ UNNECESSARY(BigDecimal.ROUND_UNNECESSARY); // Corresponding BigDecimal rounding constant final int oldMode; /** * Constructor * * @param oldMode The {@code BigDecimal} constant corresponding to * this mode */ private RoundingMode(int oldMode) { this.oldMode = oldMode; } /** * Returns the {@code RoundingMode} object corresponding to a * legacy integer rounding mode constant in {@link BigDecimal}. * * @param rm legacy integer rounding mode to convert * @return {@code RoundingMode} corresponding to the given integer. * @throws IllegalArgumentException integer is out of range */ public static RoundingMode valueOf(int rm) { switch(rm) { case BigDecimal.ROUND_UP: return UP; case BigDecimal.ROUND_DOWN: return DOWN; case BigDecimal.ROUND_CEILING: return CEILING; case BigDecimal.ROUND_FLOOR: return FLOOR; case BigDecimal.ROUND_HALF_UP: return HALF_UP; case BigDecimal.ROUND_HALF_DOWN: return HALF_DOWN; case BigDecimal.ROUND_HALF_EVEN: return HALF_EVEN; case BigDecimal.ROUND_UNNECESSARY: return UNNECESSARY; default: throw new IllegalArgumentException("argument out of range"); } } }

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Java - Java tags/keywords

ceiling, down, floor, half_down, half_even, half_up, illegalargumentexception, roundingmode, unnecessary

The RoundingMode.java Java example source code

/*
 * Copyright (c) 2003, 2013, Oracle and/or its affiliates. All rights reserved.
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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 */

/*
 * Portions Copyright IBM Corporation, 2001. All Rights Reserved.
 */
package java.math;

/**
 * Specifies a <i>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 <i>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.
 *
 * <p>Each rounding mode description includes a table listing how
 * different two-digit decimal values would round to a one digit
 * decimal value under the rounding mode in question.  The result
 * column in the tables could be gotten by creating a
 * {@code BigDecimal} number with the specified value, forming a
 * {@link MathContext} object with the proper settings
 * ({@code precision} set to {@code 1}, and the
 * {@code roundingMode} set to the rounding mode in question), and
 * calling {@link BigDecimal#round round} on this number with the
 * proper {@code MathContext}.  A summary table showing the results
 * of these rounding operations for all rounding modes appears below.
 *
 *<table border>
 * <caption>Summary of Rounding Operations Under Different Rounding Modes
 * <tr>
Result of rounding input to one digit with the given * rounding mode</th> * <tr valign=top> * <th>Input Number {@code UP}5.5 6 5 6 5 6 5 6 throw {@code ArithmeticException}2.5 3 2 3 2 3 2 2 throw {@code ArithmeticException}1.6 2 1 2 1 2 2 2 throw {@code ArithmeticException}1.1 2 1 2 1 1 1 1 throw {@code ArithmeticException}1.0 1 1 1 1 1 1 1 1-1.0 -1 -1 -1 -1 -1 -1 -1 -1-1.1 -2 -1 -1 -2 -1 -1 -1 throw {@code ArithmeticException}-1.6 -2 -1 -1 -2 -2 -2 -2 throw {@code ArithmeticException}-2.5 -3 -2 -2 -3 -3 -2 -2 throw {@code ArithmeticException}-5.5 -6 -5 -5 -6 -6 -5 -6 throw {@code ArithmeticException}Input Number5.5 62.5 31.6 21.1 21.0 1-1.0 -1-1.1 -2-1.6 -2-2.5 -3-5.5 -6Input Number5.5 52.5 21.6 11.1 11.0 1-1.0 -1-1.1 -1-1.6 -1-2.5 -2-5.5 -5Input Number5.5 62.5 31.6 21.1 21.0 1-1.0 -1-1.1 -1-1.6 -1-2.5 -2-5.5 -5Input Number5.5 52.5 21.6 11.1 11.0 1-1.0 -1-1.1 -2-1.6 -2-2.5 -3-5.5 -6Input Number5.5 62.5 31.6 21.1 11.0 1-1.0 -1-1.1 -1-1.6 -2-2.5 -3-5.5 -6Input Number5.5 52.5 21.6 21.1 11.0 1-1.0 -1-1.1 -1-1.6 -2-2.5 -2-5.5 -5Input Number5.5 62.5 21.6 21.1 11.0 1-1.0 -1-1.1 -1-1.6 -2-2.5 -2-5.5 -6Input Number5.5 throw {@code ArithmeticException}2.5 throw {@code ArithmeticException}1.6 throw {@code ArithmeticException}1.1 throw {@code ArithmeticException}1.0 1-1.0 -1-1.1 throw {@code ArithmeticException}-1.6 throw {@code ArithmeticException}-2.5 throw {@code ArithmeticException}-5.5 throw {@code ArithmeticException}
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