java大数加减乘除
2013-01-14 16:00
387 查看
package java1;
import java.util.ArrayList;
import java.util.List;
import java.util.regex.Pattern;
public class BigInteger {
private int[] val;
private int sign; //nagetive sign ,1 表示是负数，0表示是正数
/**
* 构造函数
* */
public BigInteger(String value){
String valTemp=null;
if(value.charAt(0)=='-')
{
sign=1;
valTemp=value.substring(1);
}
else
{
sign=0;
valTemp= value;
}
Pattern pattern = Pattern.compile("[0-9]*");
if(pattern.matcher(valTemp).matches() )
{
byte[] numberByte=makePositive(subtractZero(valTemp).getBytes());
val=byteToInt(numberByte);
}
else
{
throw new NumberFormatException("Illegal digit");
}
// for(int i=0;i<val.length;i++)
// System.out.print(val[i]);
// System.out.println();
}
/**
* 获取数值
* */
public String getBigIntegerValue(){
//String returnValue=null;
//去掉开头的0
int index=val.length-1;
for (int i=val.length-1;i>0;i--)
{
if(val[i]==0)
{
index=i-1;
}
else
break;
}
int [] middleVlaue=makePositive(val,index);
StringBuilder s= new StringBuilder();
if (val.length>0){
if(sign==1) s.append('-');
for(int i=0;i<=middleVlaue.length-1;i++)
s.append(middleVlaue[i]);
}
return s.toString();
}
/**
* 加法
* */
public BigInteger add(BigInteger other){
BigInteger bigResult= new BigInteger("0");
if(this.sign==other.sign)
{
bigResult.val= add(this.val,other.val);
bigResult.sign=this.sign;
}
else
{
if(compare(this.val,other.val))
{
bigResult.sign=this.sign;
bigResult.val=subtract(this.val,other.val);
}
else
{
bigResult.sign =other.sign;
bigResult.val=subtract(other.val,this.val);
}
}
return bigResult ;
}
/**
* 比较大小
* */
private boolean compare(int[] a ,int[] b)
{
int aLength=a.length;
int bLength=b.length;
boolean flag=true;
if(aLength>bLength)
return true;
if(aLength<bLength)
return false;
else
{
for(int i=aLength-1;i>=0;i--)
{
if(a[i]==b[i])
continue;
if(a[i]>b[i])
{
// flag= true;
break;
}
else
{
flag=false;
break;
}
}
return flag;
}
}
private int[] add(int[] a ,int[] b)
{
int[] sumResult = null;
if(a.length<=b.length)
{
sumResult=new int[b.length+1];
for(int i=0;i<a.length;i++)
{
int middleValue=sumResult[i]+a[i]+b[i];
if(middleValue>=10)
{
sumResult[i+1]=middleValue/10;
sumResult[i]=middleValue%10;
}
else
sumResult[i]=middleValue;
}
}
else
sumResult=add(b,a);
for(int i=a.length;i<b.length;i++)
{
int middleValue=sumResult[i]+b[i];
if(middleValue>=10)
{
sumResult[i+1]=middleValue/10;
sumResult[i]=middleValue%10;
}
else
sumResult[i]=middleValue;
}
return sumResult;
}
private BigInteger subtract(BigInteger other){
BigInteger bigResult= new BigInteger("0");
if(this.sign==other.sign)
{
if(this.compare(this.val, other.val))
{
bigResult.val=this.subtract(this.val, other.val);
bigResult.sign=this.sign;
}
else
{
bigResult.val=this.subtract(other.val,this.val);
bigResult.sign=(other.sign==0)?1:0;
}
}
else
{
bigResult.sign=this.sign;
bigResult.val=this.add(this.val, other.val);
}
return bigResult;
}
/**
* 两个整形字符串相减,a>b
* */
private int[] subtract(int[] a ,int[] b){
int[] subractResult=new int[a.length];
for(int i=0;i<b.length;i++)
{
int middleValue=subractResult[i]+a[i]-b[i];
if(middleValue<0)
{
subractResult[i]=10-(Math.abs(middleValue)%10);
//if(i<a.length-1)
subractResult[i+1]=((Math.abs(middleValue)/10)+1)*(-1);}
else
subractResult[i]=middleValue;
}
for (int i=b.length;i<a.length;i++)
{
int middleValue=subractResult[i]+a[i];
if(middleValue<0)
{
subractResult[i]=Math.abs(middleValue)%10;
subractResult[i+1]=((Math.abs(middleValue)/10)+1)*(-1);
}
else
subractResult[i]=middleValue;
}
return subractResult;
}
/**
* 乘法
* */
public BigInteger multiply(BigInteger other){
BigInteger bigResult= new BigInteger("0");
if(this.sign==other.sign){
bigResult.sign=this.sign;
}
else
bigResult.sign=1;
if(this.compare(this.val, other.val)){
bigResult.val= multiply(this.val, other.val);}
else
bigResult.val= multiply( other.val,this.val);
return bigResult;
}
/**
* 乘法
* */
private int[] multiply(int[] a ,int [] b){
int[] multiplyResult=new int[a.length+b.length];
multiplyResult=multiply(a,b[0]);
for(int i=1;i<b.length;i++)
multiplyResult=add(multiply(a,b[i]*i*10),multiplyResult);
return multiplyResult;
}
private int[] multiply(int[]a ,int b){
int[] result=new int[a.length+1];
for(int i=0;i<a.length;i++)
{
int midddleValue=result[i]+a[i]*b;
if(midddleValue>=10){
result[i]=midddleValue%10;
result[i+1]=midddleValue/10;
}else
result[i]=midddleValue;
}
return result;
}
/**
* 除法
* */
public BigInteger divide(BigInteger other){
BigInteger divideResult=new BigInteger ("0");
StringBuffer sbuffer= new StringBuffer();
if(other.val.length==1 && other.val[0]==0)
{
throw new ArithmeticException("the dividend can't be 0");
}else{
if(this.sign==other.sign)
divideResult.sign=this.sign;
else
divideResult.sign=1;
divideResult.val=this.divideArray(this.val,other.val);
// int[] middleValue=this.divideArray(this.val,other.val);
//divideResult.val=makePositive(middleValue,middleValue.length) ;
return divideResult;
}
}
/**
*
* */
private int[] divideArray(int[] a,int[] b){
//StringBuffer sb= new StringBuffer();
int[] remainValue=new int[a.length];
int[] resultValue = new int[a.length+3];
//长度大于等于被除数长度
if(this.compare(a,b)){
int[] middleValue=new int[a.length];
middleValue=subIntArray(a,(a.length-b.length),b.length);
for(int i=a.length-b.length;i>=0;i--){
// a>b
int[] addDivide=new int[1];
int[] middleValue1=this.subtractZero(middleValue);
if(this.compare(middleValue1,b)){
List list=divide(middleValue1,b);
remainValue=(int[]) list.get(1);
resultValue[i]=resultValue[i]+(Integer)list.get(0);
if(i>=1)
{
addDivide[0]=a[i-1];
middleValue=subtractZero(this.add(multiply(remainValue,10),addDivide)) ;
}
}
else
{
if(i>=1)
{
addDivide[0]=a[i-1];
int[] mulValu=multiply( middleValue,10);
int[] middleValue2=this.add(mulValu,addDivide) ;
middleValue=middleValue2;
resultValue[i]=0;
}
}
}
}
else
{
resultValue[0]=0;
}
return resultValue;
}
/**
* a和b的长度一样
* */
private List divide(int[] a,int[] b)
{
int[] zeroArray={0};
int[] remainValue=a;
List list = new ArrayList();
int divideResult=0;
for(int i=0;i<=9;i++){
if(compare(a,b)){
remainValue=this.subtract(remainValue,b);
int[] valueTemp=this.subtractZero(remainValue);
if(!this.compare(valueTemp,b))
{
//System.out.println("i的值为："+i);
divideResult=i+1;
break;
}
}
else{
divideResult=0;
}
}
list.add(divideResult);
list.add(remainValue);
return list ;
}
private int[] subIntArray(int[] a,int index,int length)
{
int[] middleValue=new int[length];
for(int i=index;i<index+length;i++)
{
middleValue[i-index]=a[i];
}
return middleValue ;
}
/**
* 反转字符数组
* */
private byte[] makePositive(byte[] a)
{
byte [] result = new byte[a.length];
for(int i=a.length-1;i>=0;i--)
result[a.length-i-1]=a[i];
return result;
// val[i]=numberByte[i]& 0xff;
}
/**
* 反转字符数组
* index=a.length-1
* */
private int[] makePositive(int[] a,int index)
{
int [] result = new int[index+1];
for(int i=index;i>=0;i--)
result[index-i]=a[i];
return result;
// val[i]=numberByte[i]& 0xff;
}
/**
* 字节转换为数字
* */
private int[] byteToInt(byte[] a){
int[] result=new int[a.length];
for (int i=0;i<a.length;i++)
{
result[i]=a[i]-48;
}
return result;
}
/**
* 数字转换为字节
* */
public static byte[] intToByte(int[] a){
byte[] result=new byte[a.length];
for (int i=0;i<a.length;i++)
result[i]= (byte) a[i];
return result;
}
/**
* 去掉头部的0
*
* */
private String subtractZero(String value){
int flag=0;
for(int i=0;i<value.length();i++)
{
if( value.charAt(i)=='0')
flag=flag+1;
else
break;
}
if(flag==value.length())
return "0";
else
return value.substring(flag);
}
/**
* 去除整型数组中最高位的0
* */
private int[] subtractZero(int[] a)
{
//int[] resultIntArray;
int length=a.length;
for(int i=a.length-1;i>=0;i--)
{
if(a[i]!=0)
{
length=i;
break;
}
}
if(a.length==length)
{
int[] resultIntArray={0};
return resultIntArray;
}
else
{
int[] resultIntArray= new int[length+1];
for(int i=0;i<=length;i++)
resultIntArray[i]=a[i];
return resultIntArray;
}
}
public static void main(String args[]){
BigInteger a=new BigInteger("109");
BigInteger b=new BigInteger("5");
BigInteger c=a.divide(b);
System.out.println(c.getBigIntegerValue());
c=a.add(b);
System.out.println(c.getBigIntegerValue());
c=a.subtract(b);
System.out.println(c.getBigIntegerValue());
c=a.multiply(b);
System.out.println(c.getBigIntegerValue());
}
}
import java.util.ArrayList;
import java.util.List;
import java.util.regex.Pattern;
public class BigInteger {
private int[] val;
private int sign; //nagetive sign ,1 表示是负数，0表示是正数
/**
* 构造函数
* */
public BigInteger(String value){
String valTemp=null;
if(value.charAt(0)=='-')
{
sign=1;
valTemp=value.substring(1);
}
else
{
sign=0;
valTemp= value;
}
Pattern pattern = Pattern.compile("[0-9]*");
if(pattern.matcher(valTemp).matches() )
{
byte[] numberByte=makePositive(subtractZero(valTemp).getBytes());
val=byteToInt(numberByte);
}
else
{
throw new NumberFormatException("Illegal digit");
}
// for(int i=0;i<val.length;i++)
// System.out.print(val[i]);
// System.out.println();
}
/**
* 获取数值
* */
public String getBigIntegerValue(){
//String returnValue=null;
//去掉开头的0
int index=val.length-1;
for (int i=val.length-1;i>0;i--)
{
if(val[i]==0)
{
index=i-1;
}
else
break;
}
int [] middleVlaue=makePositive(val,index);
StringBuilder s= new StringBuilder();
if (val.length>0){
if(sign==1) s.append('-');
for(int i=0;i<=middleVlaue.length-1;i++)
s.append(middleVlaue[i]);
}
return s.toString();
}
/**
* 加法
* */
public BigInteger add(BigInteger other){
BigInteger bigResult= new BigInteger("0");
if(this.sign==other.sign)
{
bigResult.val= add(this.val,other.val);
bigResult.sign=this.sign;
}
else
{
if(compare(this.val,other.val))
{
bigResult.sign=this.sign;
bigResult.val=subtract(this.val,other.val);
}
else
{
bigResult.sign =other.sign;
bigResult.val=subtract(other.val,this.val);
}
}
return bigResult ;
}
/**
* 比较大小
* */
private boolean compare(int[] a ,int[] b)
{
int aLength=a.length;
int bLength=b.length;
boolean flag=true;
if(aLength>bLength)
return true;
if(aLength<bLength)
return false;
else
{
for(int i=aLength-1;i>=0;i--)
{
if(a[i]==b[i])
continue;
if(a[i]>b[i])
{
// flag= true;
break;
}
else
{
flag=false;
break;
}
}
return flag;
}
}
private int[] add(int[] a ,int[] b)
{
int[] sumResult = null;
if(a.length<=b.length)
{
sumResult=new int[b.length+1];
for(int i=0;i<a.length;i++)
{
int middleValue=sumResult[i]+a[i]+b[i];
if(middleValue>=10)
{
sumResult[i+1]=middleValue/10;
sumResult[i]=middleValue%10;
}
else
sumResult[i]=middleValue;
}
}
else
sumResult=add(b,a);
for(int i=a.length;i<b.length;i++)
{
int middleValue=sumResult[i]+b[i];
if(middleValue>=10)
{
sumResult[i+1]=middleValue/10;
sumResult[i]=middleValue%10;
}
else
sumResult[i]=middleValue;
}
return sumResult;
}
private BigInteger subtract(BigInteger other){
BigInteger bigResult= new BigInteger("0");
if(this.sign==other.sign)
{
if(this.compare(this.val, other.val))
{
bigResult.val=this.subtract(this.val, other.val);
bigResult.sign=this.sign;
}
else
{
bigResult.val=this.subtract(other.val,this.val);
bigResult.sign=(other.sign==0)?1:0;
}
}
else
{
bigResult.sign=this.sign;
bigResult.val=this.add(this.val, other.val);
}
return bigResult;
}
/**
* 两个整形字符串相减,a>b
* */
private int[] subtract(int[] a ,int[] b){
int[] subractResult=new int[a.length];
for(int i=0;i<b.length;i++)
{
int middleValue=subractResult[i]+a[i]-b[i];
if(middleValue<0)
{
subractResult[i]=10-(Math.abs(middleValue)%10);
//if(i<a.length-1)
subractResult[i+1]=((Math.abs(middleValue)/10)+1)*(-1);}
else
subractResult[i]=middleValue;
}
for (int i=b.length;i<a.length;i++)
{
int middleValue=subractResult[i]+a[i];
if(middleValue<0)
{
subractResult[i]=Math.abs(middleValue)%10;
subractResult[i+1]=((Math.abs(middleValue)/10)+1)*(-1);
}
else
subractResult[i]=middleValue;
}
return subractResult;
}
/**
* 乘法
* */
public BigInteger multiply(BigInteger other){
BigInteger bigResult= new BigInteger("0");
if(this.sign==other.sign){
bigResult.sign=this.sign;
}
else
bigResult.sign=1;
if(this.compare(this.val, other.val)){
bigResult.val= multiply(this.val, other.val);}
else
bigResult.val= multiply( other.val,this.val);
return bigResult;
}
/**
* 乘法
* */
private int[] multiply(int[] a ,int [] b){
int[] multiplyResult=new int[a.length+b.length];
multiplyResult=multiply(a,b[0]);
for(int i=1;i<b.length;i++)
multiplyResult=add(multiply(a,b[i]*i*10),multiplyResult);
return multiplyResult;
}
private int[] multiply(int[]a ,int b){
int[] result=new int[a.length+1];
for(int i=0;i<a.length;i++)
{
int midddleValue=result[i]+a[i]*b;
if(midddleValue>=10){
result[i]=midddleValue%10;
result[i+1]=midddleValue/10;
}else
result[i]=midddleValue;
}
return result;
}
/**
* 除法
* */
public BigInteger divide(BigInteger other){
BigInteger divideResult=new BigInteger ("0");
StringBuffer sbuffer= new StringBuffer();
if(other.val.length==1 && other.val[0]==0)
{
throw new ArithmeticException("the dividend can't be 0");
}else{
if(this.sign==other.sign)
divideResult.sign=this.sign;
else
divideResult.sign=1;
divideResult.val=this.divideArray(this.val,other.val);
// int[] middleValue=this.divideArray(this.val,other.val);
//divideResult.val=makePositive(middleValue,middleValue.length) ;
return divideResult;
}
}
/**
*
* */
private int[] divideArray(int[] a,int[] b){
//StringBuffer sb= new StringBuffer();
int[] remainValue=new int[a.length];
int[] resultValue = new int[a.length+3];
//长度大于等于被除数长度
if(this.compare(a,b)){
int[] middleValue=new int[a.length];
middleValue=subIntArray(a,(a.length-b.length),b.length);
for(int i=a.length-b.length;i>=0;i--){
// a>b
int[] addDivide=new int[1];
int[] middleValue1=this.subtractZero(middleValue);
if(this.compare(middleValue1,b)){
List list=divide(middleValue1,b);
remainValue=(int[]) list.get(1);
resultValue[i]=resultValue[i]+(Integer)list.get(0);
if(i>=1)
{
addDivide[0]=a[i-1];
middleValue=subtractZero(this.add(multiply(remainValue,10),addDivide)) ;
}
}
else
{
if(i>=1)
{
addDivide[0]=a[i-1];
int[] mulValu=multiply( middleValue,10);
int[] middleValue2=this.add(mulValu,addDivide) ;
middleValue=middleValue2;
resultValue[i]=0;
}
}
}
}
else
{
resultValue[0]=0;
}
return resultValue;
}
/**
* a和b的长度一样
* */
private List divide(int[] a,int[] b)
{
int[] zeroArray={0};
int[] remainValue=a;
List list = new ArrayList();
int divideResult=0;
for(int i=0;i<=9;i++){
if(compare(a,b)){
remainValue=this.subtract(remainValue,b);
int[] valueTemp=this.subtractZero(remainValue);
if(!this.compare(valueTemp,b))
{
//System.out.println("i的值为："+i);
divideResult=i+1;
break;
}
}
else{
divideResult=0;
}
}
list.add(divideResult);
list.add(remainValue);
return list ;
}
private int[] subIntArray(int[] a,int index,int length)
{
int[] middleValue=new int[length];
for(int i=index;i<index+length;i++)
{
middleValue[i-index]=a[i];
}
return middleValue ;
}
/**
* 反转字符数组
* */
private byte[] makePositive(byte[] a)
{
byte [] result = new byte[a.length];
for(int i=a.length-1;i>=0;i--)
result[a.length-i-1]=a[i];
return result;
// val[i]=numberByte[i]& 0xff;
}
/**
* 反转字符数组
* index=a.length-1
* */
private int[] makePositive(int[] a,int index)
{
int [] result = new int[index+1];
for(int i=index;i>=0;i--)
result[index-i]=a[i];
return result;
// val[i]=numberByte[i]& 0xff;
}
/**
* 字节转换为数字
* */
private int[] byteToInt(byte[] a){
int[] result=new int[a.length];
for (int i=0;i<a.length;i++)
{
result[i]=a[i]-48;
}
return result;
}
/**
* 数字转换为字节
* */
public static byte[] intToByte(int[] a){
byte[] result=new byte[a.length];
for (int i=0;i<a.length;i++)
result[i]= (byte) a[i];
return result;
}
/**
* 去掉头部的0
*
* */
private String subtractZero(String value){
int flag=0;
for(int i=0;i<value.length();i++)
{
if( value.charAt(i)=='0')
flag=flag+1;
else
break;
}
if(flag==value.length())
return "0";
else
return value.substring(flag);
}
/**
* 去除整型数组中最高位的0
* */
private int[] subtractZero(int[] a)
{
//int[] resultIntArray;
int length=a.length;
for(int i=a.length-1;i>=0;i--)
{
if(a[i]!=0)
{
length=i;
break;
}
}
if(a.length==length)
{
int[] resultIntArray={0};
return resultIntArray;
}
else
{
int[] resultIntArray= new int[length+1];
for(int i=0;i<=length;i++)
resultIntArray[i]=a[i];
return resultIntArray;
}
}
public static void main(String args[]){
BigInteger a=new BigInteger("109");
BigInteger b=new BigInteger("5");
BigInteger c=a.divide(b);
System.out.println(c.getBigIntegerValue());
c=a.add(b);
System.out.println(c.getBigIntegerValue());
c=a.subtract(b);
System.out.println(c.getBigIntegerValue());
c=a.multiply(b);
System.out.println(c.getBigIntegerValue());
}
}
内容来自用户分享和网络整理，不保证内容的准确性，如有侵权内容，可联系管理员处理 
相关文章推荐
- java 大数加减乘除
- java 大数操作（加减乘除及取余）
- Java 大数加减乘除 hdu 5047
- 小白學JAVA-----P1002（大数）A + B Problem II
- java大数计算
- 华为2013机试题 大数相减JAVA实现
- JAVA 大数在acm中的应用（2）
- Java大数方法
- hdu1212(大数取模) java版本
- HDU 1042 N! (大数阶乘,紫书上的方法超时!!还是Java大法好!!)
- 总结&java大数
- java大数乘法的简单实现 浮点数乘法运算
- Java实现两个大数相乘
- 大明A+B（hdu1753）大数，java
- 大数字符串的四则运算之加法----Java代码实现
- 移位运算实现加减乘除详解以及java源码实现
- Java实现加减乘除
- java 大数BigInteger总结
- java实现大数加法、乘法（BigDecimal）
- Java 大数学习之旅