BigDecimal的使用说明
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BigDecimal的使用说明
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文章目錄
- 前言
- BigDecimal的構(gòu)造方法
- BigDecimal的舍入模式
- BigDecimal計(jì)算數(shù)字的工具類(lèi)
前言
問(wèn):為什么使用BigDecimal計(jì)算浮點(diǎn)型數(shù)據(jù)?
浮點(diǎn)數(shù)沒(méi)有辦法是用二進(jìn)制進(jìn)行精確表示。我們的CPU表示浮點(diǎn)數(shù)由兩個(gè)部分組成:指數(shù)和尾數(shù),這樣的表示方法一般都會(huì)失去一定的精確度,有些浮點(diǎn)數(shù)運(yùn)算也會(huì)產(chǎn)生一定的誤差。
因此在大多數(shù)的商業(yè)計(jì)算中,一般采用java.math.BigDecimal類(lèi)來(lái)進(jìn)行精確計(jì)算,最常見(jiàn)的是銀行系統(tǒng)或者計(jì)費(fèi)系統(tǒng)的結(jié)算。
BigDecimal的構(gòu)造方法
針對(duì)double類(lèi)型的數(shù)字有以下三種構(gòu)造方法:
針對(duì)BigDecimal的構(gòu)造方法的測(cè)試:
/*** 使用幾種構(gòu)造方法之間比較*/@Testpublic void constructorCompareTest() {double d1 = 2.35;double d2 = 2.0;System.out.println("*********************BigDecimal(double val)(不允許使用)*********************");System.out.println("使用BigDecimal BigDecimal(" + d1 + ")構(gòu)造方法結(jié)果為:" + new BigDecimal(d1));System.out.println("使用BigDecimal BigDecimal(" + d2 + ")構(gòu)造方法結(jié)果為:" + new BigDecimal(d2));System.out.println("*********************BigDecimal(String val)(推薦使用)***********************");System.out.println("使用BigDecimal BigDecimal(\"" + String.valueOf(d1) + "\")構(gòu)造方法結(jié)果為:" + new BigDecimal(String.valueOf(d1)));System.out.println("使用BigDecimal BigDecimal(\"" + String.valueOf(d2) + "\")構(gòu)造方法結(jié)果為:" + new BigDecimal(String.valueOf(d2)));System.out.println("**************static BigDecimal valueOf(double val)(推薦使用)***************");System.out.println("使用static BigDecimal valueOf(" + d1 + ")構(gòu)造方法結(jié)果為:" + BigDecimal.valueOf(d1));System.out.println("使用static BigDecimal valueOf(" + d2 + ")構(gòu)造方法結(jié)果為:" + BigDecimal.valueOf(d2));BigDecimal b1 = BigDecimal.valueOf(1);BigDecimal b2 = BigDecimal.valueOf(1.00000);System.out.println("b1使用equals比較b2:" + b1.equals(b2));//compareTo結(jié)果:1代表b1>b2, 0代表b1=b2, -1代表b1<b2System.out.println("b1使用compareTo比較b2:" + b1.compareTo(b2));}打印結(jié)果如下:
*********************BigDecimal(double val)(不允許使用)********************* 使用BigDecimal BigDecimal(2.35)構(gòu)造方法結(jié)果為:2.350000000000000088817841970012523233890533447265625 使用BigDecimal BigDecimal(2.0)構(gòu)造方法結(jié)果為:2 *********************BigDecimal(String val)(推薦使用)*********************** 使用BigDecimal BigDecimal("2.35")構(gòu)造方法結(jié)果為:2.35 使用BigDecimal BigDecimal("2.0")構(gòu)造方法結(jié)果為:2.0 **************static BigDecimal valueOf(double val)(推薦使用)*************** 使用static BigDecimal valueOf(2.35)構(gòu)造方法結(jié)果為:2.35 使用static BigDecimal valueOf(2.0)構(gòu)造方法結(jié)果為:2.0 b1使用equals比較b2:false b1使用compareTo比較b2:0BigDecimal的舍入模式
BigDecimal有如下7種舍入模式
/*** Rounding mode to round away from zero.* 向遠(yuǎn)離0的方向舍入*/public final static int ROUND_UP = 0;/*** Rounding mode to round towards zero.* 向靠近0方向舍入*/public final static int ROUND_DOWN = 1;/*** Rounding mode to round towards positive infinity.* 向正無(wú)窮方向舍入*/public final static int ROUND_CEILING = 2;/*** Rounding mode to round towards negative infinity.* 向負(fù)無(wú)窮方向舍入*/public final static int ROUND_FLOOR = 3;/*** Rounding mode to round towards {@literal "nearest neighbor"}* unless both neighbors are equidistant, in which case round up.* 向(距離)最近的一邊舍入,除非兩邊(的距離)是相等,如果是這樣,向上舍入, 1.55保留一位小數(shù)結(jié)果為1.6*/public final static int ROUND_HALF_UP = 4;/*** Rounding mode to round towards {@literal "nearest neighbor"}* unless both neighbors are equidistant, in which case round* down.* 向(距離)最近的一邊舍入,除非兩邊(的距離)是相等,如果是這樣,向下舍入, 例如1.55 保留一位小數(shù)結(jié)果為1.5*/public final static int ROUND_HALF_DOWN = 5;/*** Rounding mode to round towards the {@literal "nearest neighbor"}* unless both neighbors are equidistant, in which case, round* towards the even neighbor.* 向(距離)最近的一邊舍入,除非兩邊(的距離)是相等,如果是這樣,如果保留位數(shù)是奇數(shù),使用ROUND_HALF_UP ,如果是偶數(shù),使用ROUND_HALF_DOWN*/public final static int ROUND_HALF_EVEN = 6;/*** Rounding mode to assert that the requested operation has an exact* result, hence no rounding is necessary.* 計(jì)算結(jié)果是精確的,不需要舍入模式*/public final static int ROUND_UNNECESSARY = 7;測(cè)試代碼
/*** BigDecimal保留小數(shù)位*/@Testpublic void setScaleTest() {BigDecimal b1 = BigDecimal.valueOf(3.145);System.out.println("BigDecimal.ROUND_UP = " + BigDecimal.ROUND_UP + ", 處理 " + b1 + " 打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_UP));System.out.println("BigDecimal.ROUND_DOWN = " + BigDecimal.ROUND_DOWN + ", 處理" + b1 + "打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_DOWN));System.out.println("BigDecimal.ROUND_CEILING = " + BigDecimal.ROUND_CEILING + ",打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_CEILING));System.out.println("BigDecimal.ROUND_FLOOR = " + BigDecimal.ROUND_FLOOR + ",打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_FLOOR));System.out.println("BigDecimal.ROUND_HALF_UP = " + BigDecimal.ROUND_HALF_UP + ",打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_HALF_UP));System.out.println("BigDecimal.ROUND_HALF_DOWN = " + BigDecimal.ROUND_HALF_DOWN + ",打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_HALF_DOWN));System.out.println("BigDecimal.ROUND_HALF_EVEN = " + BigDecimal.ROUND_HALF_EVEN + ",打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_HALF_EVEN));System.out.println("BigDecimal.ROUND_UNNECESSARY = " + BigDecimal.ROUND_UNNECESSARY + ",打印結(jié)果:" + b1.setScale(2, BigDecimal.ROUND_UNNECESSARY));}打印結(jié)果
BigDecimal.ROUND_UP = 0, 處理 3.145 打印結(jié)果:3.15 BigDecimal.ROUND_DOWN = 1, 處理3.145打印結(jié)果:3.14 BigDecimal.ROUND_CEILING = 2,打印結(jié)果:3.15 BigDecimal.ROUND_FLOOR = 3,打印結(jié)果:3.14 BigDecimal.ROUND_HALF_UP = 4,打印結(jié)果:3.15 BigDecimal.ROUND_HALF_DOWN = 5,打印結(jié)果:3.14 BigDecimal.ROUND_HALF_EVEN = 6,打印結(jié)果:3.14java.lang.ArithmeticException: Rounding necessaryat java.math.BigDecimal.commonNeedIncrement(BigDecimal.java:4148)at java.math.BigDecimal.needIncrement(BigDecimal.java:4204)at java.math.BigDecimal.divideAndRound(BigDecimal.java:4112)at java.math.BigDecimal.setScale(BigDecimal.java:2452)at com.leo.demo.BigDecimalTest.setScaleTest(BigDecimalTest.java:154)at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)at org.junit.runners.model.FrameworkMethod$1.runReflectiveCall(FrameworkMethod.java:47)at org.junit.internal.runners.model.ReflectiveCallable.run(ReflectiveCallable.java:12)at org.junit.runners.model.FrameworkMethod.invokeExplosively(FrameworkMethod.java:44)at org.junit.internal.runners.statements.InvokeMethod.evaluate(InvokeMethod.java:17)at org.junit.runners.ParentRunner.runLeaf(ParentRunner.java:271)at org.junit.runners.BlockJUnit4ClassRunner.runChild(BlockJUnit4ClassRunner.java:70)at org.junit.runners.BlockJUnit4ClassRunner.runChild(BlockJUnit4ClassRunner.java:50)at org.junit.runners.ParentRunner$3.run(ParentRunner.java:238)at org.junit.runners.ParentRunner$1.schedule(ParentRunner.java:63)at org.junit.runners.ParentRunner.runChildren(ParentRunner.java:236)at org.junit.runners.ParentRunner.access$000(ParentRunner.java:53)at org.junit.runners.ParentRunner$2.evaluate(ParentRunner.java:229)at org.junit.runners.ParentRunner.run(ParentRunner.java:309)at org.junit.runner.JUnitCore.run(JUnitCore.java:160)at com.intellij.junit4.JUnit4IdeaTestRunner.startRunnerWithArgs(JUnit4IdeaTestRunner.java:74)at com.intellij.rt.execution.junit.JUnitStarter.prepareStreamsAndStart(JUnitStarter.java:211)at com.intellij.rt.execution.junit.JUnitStarter.main(JUnitStarter.java:67)at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)at com.intellij.rt.execution.application.AppMain.main(AppMain.java:134)異常說(shuō)明:
java.lang.ArithmeticException: Rounding necessaryat java.math.BigDecimal.commonNeedIncrement(BigDecimal.java:4148)at java.math.BigDecimal.needIncrement(BigDecimal.java:4204)出錯(cuò)原因精度丟失問(wèn)題,要指定舍入模式或者擴(kuò)大保留小數(shù)的位數(shù)
上面的最后可以做如下修改:
System.out.println("BigDecimal.ROUND_UNNECESSARY = " + BigDecimal.ROUND_UNNECESSARY + ",打印結(jié)果:" + b1.setScale(3, BigDecimal.ROUND_UNNECESSARY));打印結(jié)果
BigDecimal.ROUND_UP = 0, 處理 3.145 打印結(jié)果:3.15 BigDecimal.ROUND_DOWN = 1, 處理3.145打印結(jié)果:3.14 BigDecimal.ROUND_CEILING = 2,打印結(jié)果:3.15 BigDecimal.ROUND_FLOOR = 3,打印結(jié)果:3.14 BigDecimal.ROUND_HALF_UP = 4,打印結(jié)果:3.15 BigDecimal.ROUND_HALF_DOWN = 5,打印結(jié)果:3.14 BigDecimal.ROUND_HALF_EVEN = 6,打印結(jié)果:3.14 BigDecimal.ROUND_UNNECESSARY = 7,打印結(jié)果:3.145BigDecimal計(jì)算數(shù)字的工具類(lèi)
package com.leo.demo.bigdecimaltest;/*** @ClassName: BigDecimalTest* @Description: 關(guān)于帶浮點(diǎn)數(shù)據(jù)的計(jì)算* @Author: leo825* @Date: 2020-04-29 09:12* @Version: 1.0*/import java.math.BigDecimal;public class BigDecimalUtil {// 除法運(yùn)算默認(rèn)精度private static final int DEF_DIV_SCALE = 10;private BigDecimalUtil() {}/*** 精確加法*/public static double add(double value1, double value2) {BigDecimal b1 = BigDecimal.valueOf(value1);BigDecimal b2 = BigDecimal.valueOf(value2);return b1.add(b2).doubleValue();}/*** 精確減法*/public static double sub(double value1, double value2) {BigDecimal b1 = BigDecimal.valueOf(value1);BigDecimal b2 = BigDecimal.valueOf(value2);return b1.subtract(b2).doubleValue();}/*** 精確乘法*/public static double mul(double value1, double value2) {BigDecimal b1 = BigDecimal.valueOf(value1);BigDecimal b2 = BigDecimal.valueOf(value2);return b1.multiply(b2).doubleValue();}/*** 精確除法 使用默認(rèn)精度*/public static double div(double value1, double value2) throws IllegalAccessException {return div(value1, value2, DEF_DIV_SCALE);}/*** 精確除法** @param scale 精度*/public static double div(double value1, double value2, int scale) throws IllegalAccessException {if (scale < 0) {throw new IllegalAccessException("精確度不能小于0");}BigDecimal b1 = BigDecimal.valueOf(value1);BigDecimal b2 = BigDecimal.valueOf(value2);return b1.divide(b2, scale, BigDecimal.ROUND_HALF_UP).doubleValue();}/*** 四舍五入** @param scale 小數(shù)點(diǎn)后保留幾位*/public static double round(double v, int scale) throws IllegalAccessException {return div(v, 1, scale);}/*** 比較大小*/public static boolean equalTo(BigDecimal b1, BigDecimal b2) {if (b1 == null || b2 == null) {return false;}return 0 == b1.compareTo(b2);}public static void main(String[] args) throws IllegalAccessException {double value1 = 1.1234223432344;double value2 = 3.1415926535897;BigDecimal value3 = BigDecimal.valueOf(value1);BigDecimal value4 = BigDecimal.valueOf(value2);System.out.println("精確加法=================" + BigDecimalUtil.add(value1, value2));System.out.println("精確減法=================" + BigDecimalUtil.sub(value1, value2));System.out.println("精確乘法=================" + BigDecimalUtil.mul(value1, value2));System.out.println("精確除法 默認(rèn)精度=================" + BigDecimalUtil.div(value1, value2));System.out.println("精確除法 設(shè)置精度=================" + BigDecimalUtil.div(value1, value2, 20));System.out.println("四舍五入 小數(shù)點(diǎn)后保留幾位 =================" + BigDecimalUtil.round(value1, 10));System.out.println("比較大小 =================" + BigDecimalUtil.equalTo(value3, value4));} }總結(jié)
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