概述
前言
在上一章. 我们读了下java.lang.Object
类. 在本章内, 我们读一下java.lang.Integer
类.
众所周知, JDK有8种基本数据类型. 分别为 byte
short
int
long
float
double
. 还有2类非数字类, 分别为char
和boolean
. 也就是说, 读了其中一种数值数据类型, 即读过其他5种数据类型. 所以, 我们今天读取Integer
数据类型是绝对有意义的.
正文
(成员 & 方法) 概览
与Object类相似. 在细读源码之前, 我们先来看下类中读整体数据结构.
- 成员变量
# 数值
private final int value;
@Native public static final int SIZE = 32;
public static final int BYTES = SIZE / Byte.SIZE;
# 最小值
@Native public static final int MIN_VALUE = 0x80000000;
# 最大值
@Native public static final int MAX_VALUE = 0x7fffffff;
# 不知道啥意思
@SuppressWarnings("unchecked")
public static final Class<Integer> TYPE = (Class<Integer>) Class.getPrimitiveClass("int");
private final int value;
# digits 进制数
final static char[] digits = {
'0' , '1' , '2' , '3' , '4' , '5' ,
'6' , '7' , '8' , '9' , 'a' , 'b' ,
'c' , 'd' , 'e' , 'f' , 'g' , 'h' ,
'i' , 'j' , 'k' , 'l' , 'm' , 'n' ,
'o' , 'p' , 'q' , 'r' , 's' , 't' ,
'u' , 'v' , 'w' , 'x' , 'y' , 'z'
};
final static char [] DigitTens = {
'0', '0', '0', '0', '0', '0', '0', '0', '0', '0',
'1', '1', '1', '1', '1', '1', '1', '1', '1', '1',
'2', '2', '2', '2', '2', '2', '2', '2', '2', '2',
'3', '3', '3', '3', '3', '3', '3', '3', '3', '3',
'4', '4', '4', '4', '4', '4', '4', '4', '4', '4',
'5', '5', '5', '5', '5', '5', '5', '5', '5', '5',
'6', '6', '6', '6', '6', '6', '6', '6', '6', '6',
'7', '7', '7', '7', '7', '7', '7', '7', '7', '7',
'8', '8', '8', '8', '8', '8', '8', '8', '8', '8',
'9', '9', '9', '9', '9', '9', '9', '9', '9', '9',
} ;
final static char [] DigitOnes = {
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
} ;
# size Table 主要用于判断长度和位数. 辅助空间.
final static int [] sizeTable = { 9, 99, 999, 9999, 99999, 999999, 9999999,
99999999, 999999999, Integer.MAX_VALUE };
- 主要方法
- public Integer(int value) 构造方法
- public Integer(String s) 构造方法
- public static String toString(int i, int radix) 转换为字符串
- public static int parseInt(String s, int radix) 进制转换
- public static Integer valueOf(String s, int radix) 获取值(自动装箱)
- public int intValue() 获取数值(自动拆箱)
- public int hashCode() 获取hash值
- public boolean equals(Object obj) equals 方法
- public int compareTo(Integer anotherInteger) 比较方法
- 次要方法 & instresting Method
- public static int reverse(int i) 翻转-位运算
- public static long toUnsignedLong(int x) 有符号数转换为无符号数
OK. 我们就跟着读一下这些主要方法.
相关基础
在看具体的成员和方法之前, 我们先看下Integer
类的声明.
public final class Integer extends Number implements Comparable<Integer> {
-
继承
Number
类 -
实现
Comparable
接口
# Number 抽象类
package java.lang;
public abstract class Number implements java.io.Serializable {
public abstract int intValue();
public abstract long longValue();
public abstract float floatValue();
public abstract double doubleValue();
public byte byteValue() {
return (byte)intValue();
}
public short shortValue() {
return (short)intValue();
}
private static final long serialVersionUID = -8742448824652078965L;
}
可以看到Number
类是一个抽象类. 其次, 其中实现的方法多数都是一些数值之间的转换. 比如Integer->(转)->Byte
. 值得注意的是. 一般都是大数据类型转小数据类型.(虽然会造成数据丢失.)
# Comparable 接口
public interface Comparable<T> {
public int compareTo(T o);
}
Comparable接口
内主要是设置一个比较方法.
构造方法
- public Integer(int value)
public Integer(int value) {
# 直接赋值给value对象
this.value = value;
}
- public Integer(String s)
public Integer(String s) throws NumberFormatException {
# 字符串 转换为10进制数 具体的转换操作. 我们后面再做解析.
this.value = parseInt(s, 10);
}
(String -> Integer) 转换
- public static int parseInt(String s, int radix)
public static int parseInt(String s, int radix)
throws NumberFormatException
{
/*
* WARNING: This method may be invoked early during VM initialization
* before IntegerCache is initialized. Care must be taken to not use
* the valueOf method.
* (这里有一段注释, 说的是这个类需要在JVM虚拟机运行前左右一段时间进行加载. 因为valueOf()方法的使用. ValueOf方法是啥? 我们之后再看.)
*/
if (s == null) {
throw new NumberFormatException("null");
}
if (radix < Character.MIN_RADIX) {
// Character.MIN_RADIX 是 2 / 即支持的最小转换为二进制
throw new NumberFormatException("radix " + radix +
" less than Character.MIN_RADIX");
}
if (radix > Character.MAX_RADIX) {
// Character.MIN_RADIX 是 32 / 即支持的最大转换为32进制
throw new NumberFormatException("radix " + radix +
" greater than Character.MAX_RADIX");
}
int result = 0;
boolean negative = false;
int i = 0, len = s.length();
int limit = -Integer.MAX_VALUE;
int multmin;
int digit;
if (len > 0) {
char firstChar = s.charAt(0);
// 先判断第一位 因为第一位一般是符号位
if (firstChar < '0') { // Possible leading "+" or "-"
if (firstChar == '-') {
// 确定是负数
negative = true;
limit = Integer.MIN_VALUE;
} else if (firstChar != '+')
throw NumberFormatException.forInputString(s);
if (len == 1) // Cannot have lone "+" or "-"
throw NumberFormatException.forInputString(s);
i++;
}
// 更新 最小值 multmin
multmin = limit / radix;
while (i < len) {
// Accumulating negatively avoids surprises near MAX_VALUE
digit = Character.digit(s.charAt(i++),radix);
if (digit < 0) {
throw NumberFormatException.forInputString(s);
}
if (result < multmin) {
throw NumberFormatException.forInputString(s);
}
result *= radix;
if (result < limit + digit) {
throw NumberFormatException.forInputString(s);
}
# 骚操作?
result -= digit;
}
} else {
// 输入的字符串为空 即 长度小于1
throw NumberFormatException.forInputString(s);
}
return negative ? result : -result;
}
值得注意的是, 这里有2个注意点:
-
Character.digit(s.charAt(i++),radix)
判断你的字符是否在进制内, 在进制内返回数字本身. 否则返回-1
.
举个例子 (‘8’,10) 返回8 / (‘B’,10) 返回-1‘B’表示数字12
.
Character.digit()的意义 -
result -= digit;
这段代码比较有意思? 我们对于一个数字123
的转换大致为:1*10^2+2*10^1+3*10^0
.
但是这边确是使用负数进行计算.(-1)*10^2+(-2)*10^1+(-3)*10^0
. 最后return negative ? result : -result;
此处再做了一次判断.
难道是减法运算快?还是边界值的判定?
貌似就是和Integer的边界有关. 因为Integer的边界为-21368 ----- +21367
(Integer -> String) 转换
- public static String toString(int i)
public static String toString(int i) {
// 边界值判断
if (i == Integer.MIN_VALUE)
return "-2147483648";
// 判断位数. 如果是负数, 那么要加一位, 因为加`-`号
int size = (i < 0) ? stringSize(-i) + 1 : stringSize(i);
// 给定一个Char数组
char[] buf = new char[size];
// getChars方法 将i 转换为char[]数组
getChars(i, size, buf);
// 通过Chars[] 创建一个 String 数组 (这个我们下一章再说)
return new String(buf, true);
}
- static void getChars(int i, int index, char[] buf)
static void getChars(int i, int index, char[] buf) {
int q, r;
int charPos = index;
char sign = 0;
// 如果i是负数. 那么转换为
if (i < 0) {
sign = '-';
i = -i;
}
// 取后2位
// Generate two digits per iteration
while (i >= 65536) {
q = i / 100;
// really: r = i - (q * 100);
r = i - ((q << 6) + (q << 5) + (q << 2));
i = q;
buf [--charPos] = DigitOnes[r];
buf [--charPos] = DigitTens[r];
}
// Fall thru to fast mode for smaller numbers
// assert(i <= 65536, i);
for (;;) {
q = (i * 52429) >>> (16+3);
r = i - ((q << 3) + (q << 1)); // r = i-(q*10) ...
buf [--charPos] = digits [r];
i = q;
if (i == 0) break;
}
// 符号为 负数 加上 `-`
if (sign != 0) {
buf [--charPos] = sign;
}
}
- getChars() 方法的作用为:将 数字
123
转换为字符串 存储进char[] {'1','2','3'}
. - 核心步骤1-去除65535后部分
while (i >= 65536) {
q = i / 100;
// really: r = i - (q * 100);
r = i - ((q << 6) + (q << 5) + (q << 2));
i = q;
buf [--charPos] = DigitOnes[r];
buf [--charPos] = DigitTens[r];
}
这段代码的含义是: 将比如65536123
中的65536
后的123
几位放入名为buf[]
的char[]
数组内. 其中有一个精妙的运算. r = i - ((q << 6) + (q << 5) + (q << 2));
通过计算后面可以知道2^6+2^5+2^2=64+32+4=100
. 是不是感觉很棒?
- 核心步骤2- 处理65535内数字
// assert(i <= 65536, i);
for (;;) {
q = (i * 52429) >>> (16+3);
r = i - ((q << 3) + (q << 1)); // r = i-(q*10) ...
buf [--charPos] = digits [r];
i = q;
if (i == 0) break;
}
这段代码含义是, 先将newResult=数字/10
, 随后num=result-newResult*10
大概是取模运算比这个更慢.等价算法num=result%10
.
2^19=524288
52429/524288
这里我有2点疑问?
- 直接写
19
即可 为啥要写3+16
. 52429/524288
是约等于, 对于算法的精度是否有影响?
jdk源码:Integer.getChars(int i, int index, char[] buf)
ValueOf & intValue (自动装箱&自动拆箱)
- public static Integer valueOf(int i)
自动装箱
public static Integer valueOf(int i) {
// low -128 high 127
if (i >= IntegerCache.low && i <= IntegerCache.high)
return IntegerCache.cache[i + (-IntegerCache.low)];
return new Integer(i);
}
- public int intValue()
自动拆箱
public int intValue() {
return value;
}
- 自动装箱和自动拆箱原理
JDK 1.5
开始创建的一种语法糖.Ineger i = 4;
/int a = i;
上文是比较常见的装箱和拆箱.
Integer i2 = 4; -> 自动装箱 -> Integer i2=Integer.valueOf(4);
见上文的方法可以知道. 其装箱的是IntegerCache内的数字.
int i3 = i2; -> 自动拆箱 -> i3=i2.intVal();
见上文可知, 其拆箱转变为了一个基础数据类型.
其实在使用的过程中, 拆箱操作
产生的异常比较少. 但是装箱
操作产生的异常就比较致命, 典型的就是==
与equals方法
的区别.
public static void testEquals() {
//1
int a = 100;
Integer b = 100;
System.out.println(a == b);
//2
Integer c = 100;
Integer d = 100;
System.out.println(c == d);
//3
c = 200;
d = 200;
System.out.println(c == d);
System.out.println(200 == d);
System.out.println(d == 200);
}
// 结果
true
true
false
true
true
- 最终写法 Optional.of()
public static void testEquals() {
Integer i1 = 128;
Integer i2 =128;
// 错误示范
System.out.println(i1 ==i2);
// 会空指针
System.out.println(i1.equals(i2));
// 使用Optional工具类
System.out.println(Optional.of(i1).equals(Optional.of(i2)));
}
自动装箱和自动拆箱貌似和操作符号还有关系. 有时间应该深入了解下.
- public boolean equals(Object obj)
public boolean equals(Object obj) {
if (obj instanceof Integer) {
return value == ((Integer)obj).intValue();
}
return false;
}
- public int hashCode()
public int hashCode() {
return Integer.hashCode(value);
}
public static int hashCode(int value) {
return value;
}
public int compareTo(Integer anotherInteger) {
return compare(this.value, anotherInteger.value);
}
public static int compare(int x, int y) {
return (x < y) ? -1 : ((x == y) ? 0 : 1);
}
Q
Q1: 自动装箱子和自动拆箱是什么?可以介绍一下么?
Q2: equals() 方法和
==
方法的区别和联系?
Q3: Integer 作为函数参数. 到底是值传递还是地址传递?
总结
对于Integer
类来说. 我们需要知道如下几点:
- 内部维护的
value成员变量
为final
类型. - 类型转换.
Integer -> String ( toString() )
/String -> Integer ( parseInt(str) )
类型是如何转换的. - 自动装箱
valueOf()
和自动拆箱intValue()
. 特别是对于某些计算过程的计算. - 继自动装箱和自动拆箱. 我们应该选择
equals
方法取代==
方法. 因为==
方法比较的是地址. 而非值本身. - 其他一些方法.
hashcode()
/equals()
/compareTo
.
Reference
[1]. JDK1.8源码(二)——java.lang.Integer 类
[2]. jdk源码:Integer.getChars(int i, int index, char[] buf)
[3]. Character.digit()的意义
[4]. 浅谈 Integer 类
附源码
/*
* Copyright (c) 1994, 2013, Oracle and/or its affiliates. All rights reserved.
* ORACLE PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
*/
package java.lang;
import java.lang.annotation.Native;
/**
* The {@code Integer} class wraps a value of the primitive type
* {@code int} in an object. An object of type {@code Integer}
* contains a single field whose type is {@code int}.
*
* <p>In addition, this class provides several methods for converting
* an {@code int} to a {@code String} and a {@code String} to an
* {@code int}, as well as other constants and methods useful when
* dealing with an {@code int}.
*
* <p>Implementation note: The implementations of the "bit twiddling"
* methods (such as {@link #highestOneBit(int) highestOneBit} and
* {@link #numberOfTrailingZeros(int) numberOfTrailingZeros}) are
* based on material from Henry S. Warren, Jr.'s <i>Hacker's
* Delight</i>, (Addison Wesley, 2002).
*
* @author Lee Boynton
* @author Arthur van Hoff
* @author Josh Bloch
* @author Joseph D. Darcy
* @since JDK1.0
*/
public final class Integer extends Number implements Comparable<Integer> {
/**
* A constant holding the minimum value an {@code int} can
* have, -2<sup>31</sup>.
*/
@Native public static final int MIN_VALUE = 0x80000000;
/**
* A constant holding the maximum value an {@code int} can
* have, 2<sup>31</sup>-1.
*/
@Native public static final int MAX_VALUE = 0x7fffffff;
/**
* The {@code Class} instance representing the primitive type
* {@code int}.
*
* @since JDK1.1
*/
@SuppressWarnings("unchecked")
public static final Class<Integer> TYPE = (Class<Integer>) Class.getPrimitiveClass("int");
/**
* All possible chars for representing a number as a String
*/
final static char[] digits = {
'0' , '1' , '2' , '3' , '4' , '5' ,
'6' , '7' , '8' , '9' , 'a' , 'b' ,
'c' , 'd' , 'e' , 'f' , 'g' , 'h' ,
'i' , 'j' , 'k' , 'l' , 'm' , 'n' ,
'o' , 'p' , 'q' , 'r' , 's' , 't' ,
'u' , 'v' , 'w' , 'x' , 'y' , 'z'
};
/**
* Returns a string representation of the first argument in the
* radix specified by the second argument.
*
* <p>If the radix is smaller than {@code Character.MIN_RADIX}
* or larger than {@code Character.MAX_RADIX}, then the radix
* {@code 10} is used instead.
*
* <p>If the first argument is negative, the first element of the
* result is the ASCII minus character {@code '-'}
* ({@code 'u005Cu002D'}). If the first argument is not
* negative, no sign character appears in the result.
*
* <p>The remaining characters of the result represent the magnitude
* of the first argument. If the magnitude is zero, it is
* represented by a single zero character {@code '0'}
* ({@code 'u005Cu0030'}); otherwise, the first character of
* the representation of the magnitude will not be the zero
* character. The following ASCII characters are used as digits:
*
* <blockquote>
* {@code 0123456789abcdefghijklmnopqrstuvwxyz}
* </blockquote>
*
* These are {@code 'u005Cu0030'} through
* {@code 'u005Cu0039'} and {@code 'u005Cu0061'} through
* {@code 'u005Cu007A'}. If {@code radix} is
* <var>N</var>, then the first <var>N</var> of these characters
* are used as radix-<var>N</var> digits in the order shown. Thus,
* the digits for hexadecimal (radix 16) are
* {@code 0123456789abcdef}. If uppercase letters are
* desired, the {@link java.lang.String#toUpperCase()} method may
* be called on the result:
*
* <blockquote>
* {@code Integer.toString(n, 16).toUpperCase()}
* </blockquote>
*
* @param i an integer to be converted to a string.
* @param radix the radix to use in the string representation.
* @return a string representation of the argument in the specified radix.
* @see java.lang.Character#MAX_RADIX
* @see java.lang.Character#MIN_RADIX
*/
public static String toString(int i, int radix) {
if (radix < Character.MIN_RADIX || radix > Character.MAX_RADIX)
radix = 10;
/* Use the faster version */
if (radix == 10) {
return toString(i);
}
char buf[] = new char[33];
boolean negative = (i < 0);
int charPos = 32;
if (!negative) {
i = -i;
}
while (i <= -radix) {
buf[charPos--] = digits[-(i % radix)];
i = i / radix;
}
buf[charPos] = digits[-i];
if (negative) {
buf[--charPos] = '-';
}
return new String(buf, charPos, (33 - charPos));
}
/**
* Returns a string representation of the first argument as an
* unsigned integer value in the radix specified by the second
* argument.
*
* <p>If the radix is smaller than {@code Character.MIN_RADIX}
* or larger than {@code Character.MAX_RADIX}, then the radix
* {@code 10} is used instead.
*
* <p>Note that since the first argument is treated as an unsigned
* value, no leading sign character is printed.
*
* <p>If the magnitude is zero, it is represented by a single zero
* character {@code '0'} ({@code 'u005Cu0030'}); otherwise,
* the first character of the representation of the magnitude will
* not be the zero character.
*
* <p>The behavior of radixes and the characters used as digits
* are the same as {@link #toString(int, int) toString}.
*
* @param i an integer to be converted to an unsigned string.
* @param radix the radix to use in the string representation.
* @return an unsigned string representation of the argument in the specified radix.
* @see #toString(int, int)
* @since 1.8
*/
public static String toUnsignedString(int i, int radix) {
return Long.toUnsignedString(toUnsignedLong(i), radix);
}
/**
* Returns a string representation of the integer argument as an
* unsigned integer in base 16.
*
* <p>The unsigned integer value is the argument plus 2<sup>32</sup>
* if the argument is negative; otherwise, it is equal to the
* argument. This value is converted to a string of ASCII digits
* in hexadecimal (base 16) with no extra leading
* {@code 0}s.
*
* <p>The value of the argument can be recovered from the returned
* string {@code s} by calling {@link
* Integer#parseUnsignedInt(String, int)
* Integer.parseUnsignedInt(s, 16)}.
*
* <p>If the unsigned magnitude is zero, it is represented by a
* single zero character {@code '0'} ({@code 'u005Cu0030'});
* otherwise, the first character of the representation of the
* unsigned magnitude will not be the zero character. The
* following characters are used as hexadecimal digits:
*
* <blockquote>
* {@code 0123456789abcdef}
* </blockquote>
*
* These are the characters {@code 'u005Cu0030'} through
* {@code 'u005Cu0039'} and {@code 'u005Cu0061'} through
* {@code 'u005Cu0066'}. If uppercase letters are
* desired, the {@link java.lang.String#toUpperCase()} method may
* be called on the result:
*
* <blockquote>
* {@code Integer.toHexString(n).toUpperCase()}
* </blockquote>
*
* @param i an integer to be converted to a string.
* @return the string representation of the unsigned integer value
* represented by the argument in hexadecimal (base 16).
* @see #parseUnsignedInt(String, int)
* @see #toUnsignedString(int, int)
* @since JDK1.0.2
*/
public static String toHexString(int i) {
return toUnsignedString0(i, 4);
}
/**
* Returns a string representation of the integer argument as an
* unsigned integer in base 8.
*
* <p>The unsigned integer value is the argument plus 2<sup>32</sup>
* if the argument is negative; otherwise, it is equal to the
* argument. This value is converted to a string of ASCII digits
* in octal (base 8) with no extra leading {@code 0}s.
*
* <p>The value of the argument can be recovered from the returned
* string {@code s} by calling {@link
* Integer#parseUnsignedInt(String, int)
* Integer.parseUnsignedInt(s, 8)}.
*
* <p>If the unsigned magnitude is zero, it is represented by a
* single zero character {@code '0'} ({@code 'u005Cu0030'});
* otherwise, the first character of the representation of the
* unsigned magnitude will not be the zero character. The
* following characters are used as octal digits:
*
* <blockquote>
* {@code 01234567}
* </blockquote>
*
* These are the characters {@code 'u005Cu0030'} through
* {@code 'u005Cu0037'}.
*
* @param i an integer to be converted to a string.
* @return the string representation of the unsigned integer value
* represented by the argument in octal (base 8).
* @see #parseUnsignedInt(String, int)
* @see #toUnsignedString(int, int)
* @since JDK1.0.2
*/
public static String toOctalString(int i) {
return toUnsignedString0(i, 3);
}
/**
* Returns a string representation of the integer argument as an
* unsigned integer in base 2.
*
* <p>The unsigned integer value is the argument plus 2<sup>32</sup>
* if the argument is negative; otherwise it is equal to the
* argument. This value is converted to a string of ASCII digits
* in binary (base 2) with no extra leading {@code 0}s.
*
* <p>The value of the argument can be recovered from the returned
* string {@code s} by calling {@link
* Integer#parseUnsignedInt(String, int)
* Integer.parseUnsignedInt(s, 2)}.
*
* <p>If the unsigned magnitude is zero, it is represented by a
* single zero character {@code '0'} ({@code 'u005Cu0030'});
* otherwise, the first character of the representation of the
* unsigned magnitude will not be the zero character. The
* characters {@code '0'} ({@code 'u005Cu0030'}) and {@code
* '1'} ({@code 'u005Cu0031'}) are used as binary digits.
*
* @param i an integer to be converted to a string.
* @return the string representation of the unsigned integer value
* represented by the argument in binary (base 2).
* @see #parseUnsignedInt(String, int)
* @see #toUnsignedString(int, int)
* @since JDK1.0.2
*/
public static String toBinaryString(int i) {
return toUnsignedString0(i, 1);
}
/**
* Convert the integer to an unsigned number.
*/
private static String toUnsignedString0(int val, int shift) {
// assert shift > 0 && shift <=5 : "Illegal shift value";
int mag = Integer.SIZE - Integer.numberOfLeadingZeros(val);
int chars = Math.max(((mag + (shift - 1)) / shift), 1);
char[] buf = new char[chars];
formatUnsignedInt(val, shift, buf, 0, chars);
// Use special constructor which takes over "buf".
return new String(buf, true);
}
/**
* Format a long (treated as unsigned) into a character buffer.
* @param val the unsigned int to format
* @param shift the log2 of the base to format in (4 for hex, 3 for octal, 1 for binary)
* @param buf the character buffer to write to
* @param offset the offset in the destination buffer to start at
* @param len the number of characters to write
* @return the lowest character location used
*/
static int formatUnsignedInt(int val, int shift, char[] buf, int offset, int len) {
int charPos = len;
int radix = 1 << shift;
int mask = radix - 1;
do {
buf[offset + --charPos] = Integer.digits[val & mask];
val >>>= shift;
} while (val != 0 && charPos > 0);
return charPos;
}
final static char [] DigitTens = {
'0', '0', '0', '0', '0', '0', '0', '0', '0', '0',
'1', '1', '1', '1', '1', '1', '1', '1', '1', '1',
'2', '2', '2', '2', '2', '2', '2', '2', '2', '2',
'3', '3', '3', '3', '3', '3', '3', '3', '3', '3',
'4', '4', '4', '4', '4', '4', '4', '4', '4', '4',
'5', '5', '5', '5', '5', '5', '5', '5', '5', '5',
'6', '6', '6', '6', '6', '6', '6', '6', '6', '6',
'7', '7', '7', '7', '7', '7', '7', '7', '7', '7',
'8', '8', '8', '8', '8', '8', '8', '8', '8', '8',
'9', '9', '9', '9', '9', '9', '9', '9', '9', '9',
} ;
final static char [] DigitOnes = {
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
'0', '1', '2', '3', '4', '5', '6', '7', '8', '9',
} ;
// I use the "invariant division by multiplication" trick to
// accelerate Integer.toString. In particular we want to
// avoid division by 10.
//
// The "trick" has roughly the same performance characteristics
// as the "classic" Integer.toString code on a non-JIT VM.
// The trick avoids .rem and .div calls but has a longer code
// path and is thus dominated by dispatch overhead. In the
// JIT case the dispatch overhead doesn't exist and the
// "trick" is considerably faster than the classic code.
//
// TODO-FIXME: convert (x * 52429) into the equiv shift-add
// sequence.
//
// RE: Division by Invariant Integers using Multiplication
// T Gralund, P Montgomery
// ACM PLDI 1994
//
/**
* Returns a {@code String} object representing the
* specified integer. The argument is converted to signed decimal
* representation and returned as a string, exactly as if the
* argument and radix 10 were given as arguments to the {@link
* #toString(int, int)} method.
*
* @param i an integer to be converted.
* @return a string representation of the argument in base 10.
*/
public static String toString(int i) {
if (i == Integer.MIN_VALUE)
return "-2147483648";
int size = (i < 0) ? stringSize(-i) + 1 : stringSize(i);
char[] buf = new char[size];
getChars(i, size, buf);
return new String(buf, true);
}
/**
* Returns a string representation of the argument as an unsigned
* decimal value.
*
* The argument is converted to unsigned decimal representation
* and returned as a string exactly as if the argument and radix
* 10 were given as arguments to the {@link #toUnsignedString(int,
* int)} method.
*
* @param i an integer to be converted to an unsigned string.
* @return an unsigned string representation of the argument.
* @see #toUnsignedString(int, int)
* @since 1.8
*/
public static String toUnsignedString(int i) {
return Long.toString(toUnsignedLong(i));
}
/**
* Places characters representing the integer i into the
* character array buf. The characters are placed into
* the buffer backwards starting with the least significant
* digit at the specified index (exclusive), and working
* backwards from there.
*
* Will fail if i == Integer.MIN_VALUE
*/
static void getChars(int i, int index, char[] buf) {
int q, r;
int charPos = index;
char sign = 0;
if (i < 0) {
sign = '-';
i = -i;
}
// Generate two digits per iteration
while (i >= 65536) {
q = i / 100;
// really: r = i - (q * 100);
r = i - ((q << 6) + (q << 5) + (q << 2));
i = q;
buf [--charPos] = DigitOnes[r];
buf [--charPos] = DigitTens[r];
}
// Fall thru to fast mode for smaller numbers
// assert(i <= 65536, i);
for (;;) {
q = (i * 52429) >>> (16+3);
r = i - ((q << 3) + (q << 1)); // r = i-(q*10) ...
buf [--charPos] = digits [r];
i = q;
if (i == 0) break;
}
if (sign != 0) {
buf [--charPos] = sign;
}
}
final static int [] sizeTable = { 9, 99, 999, 9999, 99999, 999999, 9999999,
99999999, 999999999, Integer.MAX_VALUE };
// Requires positive x
static int stringSize(int x) {
for (int i=0; ; i++)
if (x <= sizeTable[i])
return i+1;
}
/**
* Parses the string argument as a signed integer in the radix
* specified by the second argument. The characters in the string
* must all be digits of the specified radix (as determined by
* whether {@link java.lang.Character#digit(char, int)} returns a
* nonnegative value), except that the first character may be an
* ASCII minus sign {@code '-'} ({@code 'u005Cu002D'}) to
* indicate a negative value or an ASCII plus sign {@code '+'}
* ({@code 'u005Cu002B'}) to indicate a positive value. The
* resulting integer value is returned.
*
* <p>An exception of type {@code NumberFormatException} is
* thrown if any of the following situations occurs:
* <ul>
* <li>The first argument is {@code null} or is a string of
* length zero.
*
* <li>The radix is either smaller than
* {@link java.lang.Character#MIN_RADIX} or
* larger than {@link java.lang.Character#MAX_RADIX}.
*
* <li>Any character of the string is not a digit of the specified
* radix, except that the first character may be a minus sign
* {@code '-'} ({@code 'u005Cu002D'}) or plus sign
* {@code '+'} ({@code 'u005Cu002B'}) provided that the
* string is longer than length 1.
*
* <li>The value represented by the string is not a value of type
* {@code int}.
* </ul>
*
* <p>Examples:
* <blockquote><pre>
* parseInt("0", 10) returns 0
* parseInt("473", 10) returns 473
* parseInt("+42", 10) returns 42
* parseInt("-0", 10) returns 0
* parseInt("-FF", 16) returns -255
* parseInt("1100110", 2) returns 102
* parseInt("2147483647", 10) returns 2147483647
* parseInt("-2147483648", 10) returns -2147483648
* parseInt("2147483648", 10) throws a NumberFormatException
* parseInt("99", 8) throws a NumberFormatException
* parseInt("Kona", 10) throws a NumberFormatException
* parseInt("Kona", 27) returns 411787
* </pre></blockquote>
*
* @param s the {@code String} containing the integer
* representation to be parsed
* @param radix the radix to be used while parsing {@code s}.
* @return the integer represented by the string argument in the
* specified radix.
* @exception NumberFormatException if the {@code String}
* does not contain a parsable {@code int}.
*/
public static int parseInt(String s, int radix)
throws NumberFormatException
{
/*
* WARNING: This method may be invoked early during VM initialization
* before IntegerCache is initialized. Care must be taken to not use
* the valueOf method.
*/
if (s == null) {
throw new NumberFormatException("null");
}
if (radix < Character.MIN_RADIX) {
throw new NumberFormatException("radix " + radix +
" less than Character.MIN_RADIX");
}
if (radix > Character.MAX_RADIX) {
throw new NumberFormatException("radix " + radix +
" greater than Character.MAX_RADIX");
}
int result = 0;
boolean negative = false;
int i = 0, len = s.length();
int limit = -Integer.MAX_VALUE;
int multmin;
int digit;
if (len > 0) {
char firstChar = s.charAt(0);
if (firstChar < '0') { // Possible leading "+" or "-"
if (firstChar == '-') {
negative = true;
limit = Integer.MIN_VALUE;
} else if (firstChar != '+')
throw NumberFormatException.forInputString(s);
if (len == 1) // Cannot have lone "+" or "-"
throw NumberFormatException.forInputString(s);
i++;
}
multmin = limit / radix;
while (i < len) {
// Accumulating negatively avoids surprises near MAX_VALUE
digit = Character.digit(s.charAt(i++),radix);
if (digit < 0) {
throw NumberFormatException.forInputString(s);
}
if (result < multmin) {
throw NumberFormatException.forInputString(s);
}
result *= radix;
if (result < limit + digit) {
throw NumberFormatException.forInputString(s);
}
result -= digit;
}
} else {
throw NumberFormatException.forInputString(s);
}
return negative ? result : -result;
}
/**
* Parses the string argument as a signed decimal integer. The
* characters in the string must all be decimal digits, except
* that the first character may be an ASCII minus sign {@code '-'}
* ({@code 'u005Cu002D'}) to indicate a negative value or an
* ASCII plus sign {@code '+'} ({@code 'u005Cu002B'}) to
* indicate a positive value. The resulting integer value is
* returned, exactly as if the argument and the radix 10 were
* given as arguments to the {@link #parseInt(java.lang.String,
* int)} method.
*
* @param s a {@code String} containing the {@code int}
* representation to be parsed
* @return the integer value represented by the argument in decimal.
* @exception NumberFormatException if the string does not contain a
* parsable integer.
*/
public static int parseInt(String s) throws NumberFormatException {
return parseInt(s,10);
}
/**
* Parses the string argument as an unsigned integer in the radix
* specified by the second argument. An unsigned integer maps the
* values usually associated with negative numbers to positive
* numbers larger than {@code MAX_VALUE}.
*
* The characters in the string must all be digits of the
* specified radix (as determined by whether {@link
* java.lang.Character#digit(char, int)} returns a nonnegative
* value), except that the first character may be an ASCII plus
* sign {@code '+'} ({@code 'u005Cu002B'}). The resulting
* integer value is returned.
*
* <p>An exception of type {@code NumberFormatException} is
* thrown if any of the following situations occurs:
* <ul>
* <li>The first argument is {@code null} or is a string of
* length zero.
*
* <li>The radix is either smaller than
* {@link java.lang.Character#MIN_RADIX} or
* larger than {@link java.lang.Character#MAX_RADIX}.
*
* <li>Any character of the string is not a digit of the specified
* radix, except that the first character may be a plus sign
* {@code '+'} ({@code 'u005Cu002B'}) provided that the
* string is longer than length 1.
*
* <li>The value represented by the string is larger than the
* largest unsigned {@code int}, 2<sup>32</sup>-1.
*
* </ul>
*
*
* @param s the {@code String} containing the unsigned integer
* representation to be parsed
* @param radix the radix to be used while parsing {@code s}.
* @return the integer represented by the string argument in the
* specified radix.
* @throws NumberFormatException if the {@code String}
* does not contain a parsable {@code int}.
* @since 1.8
*/
public static int parseUnsignedInt(String s, int radix)
throws NumberFormatException {
if (s == null) {
throw new NumberFormatException("null");
}
int len = s.length();
if (len > 0) {
char firstChar = s.charAt(0);
if (firstChar == '-') {
throw new
NumberFormatException(String.format("Illegal leading minus sign " +
"on unsigned string %s.", s));
} else {
if (len <= 5 || // Integer.MAX_VALUE in Character.MAX_RADIX is 6 digits
(radix == 10 && len <= 9) ) { // Integer.MAX_VALUE in base 10 is 10 digits
return parseInt(s, radix);
} else {
long ell = Long.parseLong(s, radix);
if ((ell & 0xffff_ffff_0000_0000L) == 0) {
return (int) ell;
} else {
throw new
NumberFormatException(String.format("String value %s exceeds " +
"range of unsigned int.", s));
}
}
}
} else {
throw NumberFormatException.forInputString(s);
}
}
/**
* Parses the string argument as an unsigned decimal integer. The
* characters in the string must all be decimal digits, except
* that the first character may be an an ASCII plus sign {@code
* '+'} ({@code 'u005Cu002B'}). The resulting integer value
* is returned, exactly as if the argument and the radix 10 were
* given as arguments to the {@link
* #parseUnsignedInt(java.lang.String, int)} method.
*
* @param s a {@code String} containing the unsigned {@code int}
* representation to be parsed
* @return the unsigned integer value represented by the argument in decimal.
* @throws NumberFormatException if the string does not contain a
* parsable unsigned integer.
* @since 1.8
*/
public static int parseUnsignedInt(String s) throws NumberFormatException {
return parseUnsignedInt(s, 10);
}
/**
* Returns an {@code Integer} object holding the value
* extracted from the specified {@code String} when parsed
* with the radix given by the second argument. The first argument
* is interpreted as representing a signed integer in the radix
* specified by the second argument, exactly as if the arguments
* were given to the {@link #parseInt(java.lang.String, int)}
* method. The result is an {@code Integer} object that
* represents the integer value specified by the string.
*
* <p>In other words, this method returns an {@code Integer}
* object equal to the value of:
*
* <blockquote>
* {@code new Integer(Integer.parseInt(s, radix))}
* </blockquote>
*
* @param s the string to be parsed.
* @param radix the radix to be used in interpreting {@code s}
* @return an {@code Integer} object holding the value
* represented by the string argument in the specified
* radix.
* @exception NumberFormatException if the {@code String}
* does not contain a parsable {@code int}.
*/
public static Integer valueOf(String s, int radix) throws NumberFormatException {
return Integer.valueOf(parseInt(s,radix));
}
/**
* Returns an {@code Integer} object holding the
* value of the specified {@code String}. The argument is
* interpreted as representing a signed decimal integer, exactly
* as if the argument were given to the {@link
* #parseInt(java.lang.String)} method. The result is an
* {@code Integer} object that represents the integer value
* specified by the string.
*
* <p>In other words, this method returns an {@code Integer}
* object equal to the value of:
*
* <blockquote>
* {@code new Integer(Integer.parseInt(s))}
* </blockquote>
*
* @param s the string to be parsed.
* @return an {@code Integer} object holding the value
* represented by the string argument.
* @exception NumberFormatException if the string cannot be parsed
* as an integer.
*/
public static Integer valueOf(String s) throws NumberFormatException {
return Integer.valueOf(parseInt(s, 10));
}
/**
* Cache to support the object identity semantics of autoboxing for values between
* -128 and 127 (inclusive) as required by JLS.
*
* The cache is initialized on first usage. The size of the cache
* may be controlled by the {@code -XX:AutoBoxCacheMax=<size>} option.
* During VM initialization, java.lang.Integer.IntegerCache.high property
* may be set and saved in the private system properties in the
* sun.misc.VM class.
*/
private static class IntegerCache {
static final int low = -128;
static final int high;
static final Integer cache[];
static {
// high value may be configured by property
int h = 127;
String integerCacheHighPropValue =
sun.misc.VM.getSavedProperty("java.lang.Integer.IntegerCache.high");
if (integerCacheHighPropValue != null) {
try {
int i = parseInt(integerCacheHighPropValue);
i = Math.max(i, 127);
// Maximum array size is Integer.MAX_VALUE
h = Math.min(i, Integer.MAX_VALUE - (-low) -1);
} catch( NumberFormatException nfe) {
// If the property cannot be parsed into an int, ignore it.
}
}
high = h;
cache = new Integer[(high - low) + 1];
int j = low;
for(int k = 0; k < cache.length; k++)
cache[k] = new Integer(j++);
// range [-128, 127] must be interned (JLS7 5.1.7)
assert IntegerCache.high >= 127;
}
private IntegerCache() {}
}
/**
* Returns an {@code Integer} instance representing the specified
* {@code int} value. If a new {@code Integer} instance is not
* required, this method should generally be used in preference to
* the constructor {@link #Integer(int)}, as this method is likely
* to yield significantly better space and time performance by
* caching frequently requested values.
*
* This method will always cache values in the range -128 to 127,
* inclusive, and may cache other values outside of this range.
*
* @param i an {@code int} value.
* @return an {@code Integer} instance representing {@code i}.
* @since 1.5
*/
public static Integer valueOf(int i) {
if (i >= IntegerCache.low && i <= IntegerCache.high)
return IntegerCache.cache[i + (-IntegerCache.low)];
return new Integer(i);
}
/**
* The value of the {@code Integer}.
*
* @serial
*/
private final int value;
/**
* Constructs a newly allocated {@code Integer} object that
* represents the specified {@code int} value.
*
* @param value the value to be represented by the
* {@code Integer} object.
*/
public Integer(int value) {
this.value = value;
}
/**
* Constructs a newly allocated {@code Integer} object that
* represents the {@code int} value indicated by the
* {@code String} parameter. The string is converted to an
* {@code int} value in exactly the manner used by the
* {@code parseInt} method for radix 10.
*
* @param s the {@code String} to be converted to an
* {@code Integer}.
* @exception NumberFormatException if the {@code String} does not
* contain a parsable integer.
* @see java.lang.Integer#parseInt(java.lang.String, int)
*/
public Integer(String s) throws NumberFormatException {
this.value = parseInt(s, 10);
}
/**
* Returns the value of this {@code Integer} as a {@code byte}
* after a narrowing primitive conversion.
* @jls 5.1.3 Narrowing Primitive Conversions
*/
public byte byteValue() {
return (byte)value;
}
/**
* Returns the value of this {@code Integer} as a {@code short}
* after a narrowing primitive conversion.
* @jls 5.1.3 Narrowing Primitive Conversions
*/
public short shortValue() {
return (short)value;
}
/**
* Returns the value of this {@code Integer} as an
* {@code int}.
*/
public int intValue() {
return value;
}
/**
* Returns the value of this {@code Integer} as a {@code long}
* after a widening primitive conversion.
* @jls 5.1.2 Widening Primitive Conversions
* @see Integer#toUnsignedLong(int)
*/
public long longValue() {
return (long)value;
}
/**
* Returns the value of this {@code Integer} as a {@code float}
* after a widening primitive conversion.
* @jls 5.1.2 Widening Primitive Conversions
*/
public float floatValue() {
return (float)value;
}
/**
* Returns the value of this {@code Integer} as a {@code double}
* after a widening primitive conversion.
* @jls 5.1.2 Widening Primitive Conversions
*/
public double doubleValue() {
return (double)value;
}
/**
* Returns a {@code String} object representing this
* {@code Integer}'s value. The value is converted to signed
* decimal representation and returned as a string, exactly as if
* the integer value were given as an argument to the {@link
* java.lang.Integer#toString(int)} method.
*
* @return a string representation of the value of this object in
* base 10.
*/
public String toString() {
return toString(value);
}
/**
* Returns a hash code for this {@code Integer}.
*
* @return a hash code value for this object, equal to the
* primitive {@code int} value represented by this
* {@code Integer} object.
*/
@Override
public int hashCode() {
return Integer.hashCode(value);
}
/**
* Returns a hash code for a {@code int} value; compatible with
* {@code Integer.hashCode()}.
*
* @param value the value to hash
* @since 1.8
*
* @return a hash code value for a {@code int} value.
*/
public static int hashCode(int value) {
return value;
}
/**
* Compares this object to the specified object. The result is
* {@code true} if and only if the argument is not
* {@code null} and is an {@code Integer} object that
* contains the same {@code int} value as this object.
*
* @param obj the object to compare with.
* @return {@code true} if the objects are the same;
* {@code false} otherwise.
*/
public boolean equals(Object obj) {
if (obj instanceof Integer) {
return value == ((Integer)obj).intValue();
}
return false;
}
/**
* Determines the integer value of the system property with the
* specified name.
*
* <p>The first argument is treated as the name of a system
* property. System properties are accessible through the {@link
* java.lang.System#getProperty(java.lang.String)} method. The
* string value of this property is then interpreted as an integer
* value using the grammar supported by {@link Integer#decode decode} and
* an {@code Integer} object representing this value is returned.
*
* <p>If there is no property with the specified name, if the
* specified name is empty or {@code null}, or if the property
* does not have the correct numeric format, then {@code null} is
* returned.
*
* <p>In other words, this method returns an {@code Integer}
* object equal to the value of:
*
* <blockquote>
* {@code getInteger(nm, null)}
* </blockquote>
*
* @param nm property name.
* @return the {@code Integer} value of the property.
* @throws SecurityException for the same reasons as
* {@link System#getProperty(String) System.getProperty}
* @see java.lang.System#getProperty(java.lang.String)
* @see java.lang.System#getProperty(java.lang.String, java.lang.String)
*/
public static Integer getInteger(String nm) {
return getInteger(nm, null);
}
/**
* Determines the integer value of the system property with the
* specified name.
*
* <p>The first argument is treated as the name of a system
* property. System properties are accessible through the {@link
* java.lang.System#getProperty(java.lang.String)} method. The
* string value of this property is then interpreted as an integer
* value using the grammar supported by {@link Integer#decode decode} and
* an {@code Integer} object representing this value is returned.
*
* <p>The second argument is the default value. An {@code Integer} object
* that represents the value of the second argument is returned if there
* is no property of the specified name, if the property does not have
* the correct numeric format, or if the specified name is empty or
* {@code null}.
*
* <p>In other words, this method returns an {@code Integer} object
* equal to the value of:
*
* <blockquote>
* {@code getInteger(nm, new Integer(val))}
* </blockquote>
*
* but in practice it may be implemented in a manner such as:
*
* <blockquote><pre>
* Integer result = getInteger(nm, null);
* return (result == null) ? new Integer(val) : result;
* </pre></blockquote>
*
* to avoid the unnecessary allocation of an {@code Integer}
* object when the default value is not needed.
*
* @param nm property name.
* @param val default value.
* @return the {@code Integer} value of the property.
* @throws SecurityException for the same reasons as
* {@link System#getProperty(String) System.getProperty}
* @see java.lang.System#getProperty(java.lang.String)
* @see java.lang.System#getProperty(java.lang.String, java.lang.String)
*/
public static Integer getInteger(String nm, int val) {
Integer result = getInteger(nm, null);
return (result == null) ? Integer.valueOf(val) : result;
}
/**
* Returns the integer value of the system property with the
* specified name. The first argument is treated as the name of a
* system property. System properties are accessible through the
* {@link java.lang.System#getProperty(java.lang.String)} method.
* The string value of this property is then interpreted as an
* integer value, as per the {@link Integer#decode decode} method,
* and an {@code Integer} object representing this value is
* returned; in summary:
*
* <ul><li>If the property value begins with the two ASCII characters
* {@code 0x} or the ASCII character {@code #}, not
* followed by a minus sign, then the rest of it is parsed as a
* hexadecimal integer exactly as by the method
* {@link #valueOf(java.lang.String, int)} with radix 16.
* <li>If the property value begins with the ASCII character
* {@code 0} followed by another character, it is parsed as an
* octal integer exactly as by the method
* {@link #valueOf(java.lang.String, int)} with radix 8.
* <li>Otherwise, the property value is parsed as a decimal integer
* exactly as by the method {@link #valueOf(java.lang.String, int)}
* with radix 10.
* </ul>
*
* <p>The second argument is the default value. The default value is
* returned if there is no property of the specified name, if the
* property does not have the correct numeric format, or if the
* specified name is empty or {@code null}.
*
* @param nm property name.
* @param val default value.
* @return the {@code Integer} value of the property.
* @throws SecurityException for the same reasons as
* {@link System#getProperty(String) System.getProperty}
* @see System#getProperty(java.lang.String)
* @see System#getProperty(java.lang.String, java.lang.String)
*/
public static Integer getInteger(String nm, Integer val) {
String v = null;
try {
v = System.getProperty(nm);
} catch (IllegalArgumentException | NullPointerException e) {
}
if (v != null) {
try {
return Integer.decode(v);
} catch (NumberFormatException e) {
}
}
return val;
}
/**
* Decodes a {@code String} into an {@code Integer}.
* Accepts decimal, hexadecimal, and octal numbers given
* by the following grammar:
*
* <blockquote>
* <dl>
* <dt><i>DecodableString:</i>
* <dd><i>Sign<sub>opt</sub> DecimalNumeral</i>
* <dd><i>Sign<sub>opt</sub></i> {@code 0x} <i>HexDigits</i>
* <dd><i>Sign<sub>opt</sub></i> {@code 0X} <i>HexDigits</i>
* <dd><i>Sign<sub>opt</sub></i> {@code #} <i>HexDigits</i>
* <dd><i>Sign<sub>opt</sub></i> {@code 0} <i>OctalDigits</i>
*
* <dt><i>Sign:</i>
* <dd>{@code -}
* <dd>{@code +}
* </dl>
* </blockquote>
*
* <i>DecimalNumeral</i>, <i>HexDigits</i>, and <i>OctalDigits</i>
* are as defined in section 3.10.1 of
* <cite>The Java™ Language Specification</cite>,
* except that underscores are not accepted between digits.
*
* <p>The sequence of characters following an optional
* sign and/or radix specifier ("{@code 0x}", "{@code 0X}",
* "{@code #}", or leading zero) is parsed as by the {@code
* Integer.parseInt} method with the indicated radix (10, 16, or
* 8). This sequence of characters must represent a positive
* value or a {@link NumberFormatException} will be thrown. The
* result is negated if first character of the specified {@code
* String} is the minus sign. No whitespace characters are
* permitted in the {@code String}.
*
* @param nm the {@code String} to decode.
* @return an {@code Integer} object holding the {@code int}
* value represented by {@code nm}
* @exception NumberFormatException if the {@code String} does not
* contain a parsable integer.
* @see java.lang.Integer#parseInt(java.lang.String, int)
*/
public static Integer decode(String nm) throws NumberFormatException {
int radix = 10;
int index = 0;
boolean negative = false;
Integer result;
if (nm.length() == 0)
throw new NumberFormatException("Zero length string");
char firstChar = nm.charAt(0);
// Handle sign, if present
if (firstChar == '-') {
negative = true;
index++;
} else if (firstChar == '+')
index++;
// Handle radix specifier, if present
if (nm.startsWith("0x", index) || nm.startsWith("0X", index)) {
index += 2;
radix = 16;
}
else if (nm.startsWith("#", index)) {
index ++;
radix = 16;
}
else if (nm.startsWith("0", index) && nm.length() > 1 + index) {
index ++;
radix = 8;
}
if (nm.startsWith("-", index) || nm.startsWith("+", index))
throw new NumberFormatException("Sign character in wrong position");
try {
result = Integer.valueOf(nm.substring(index), radix);
result = negative ? Integer.valueOf(-result.intValue()) : result;
} catch (NumberFormatException e) {
// If number is Integer.MIN_VALUE, we'll end up here. The next line
// handles this case, and causes any genuine format error to be
// rethrown.
String constant = negative ? ("-" + nm.substring(index))
: nm.substring(index);
result = Integer.valueOf(constant, radix);
}
return result;
}
/**
* Compares two {@code Integer} objects numerically.
*
* @param anotherInteger the {@code Integer} to be compared.
* @return the value {@code 0} if this {@code Integer} is
* equal to the argument {@code Integer}; a value less than
* {@code 0} if this {@code Integer} is numerically less
* than the argument {@code Integer}; and a value greater
* than {@code 0} if this {@code Integer} is numerically
* greater than the argument {@code Integer} (signed
* comparison).
* @since 1.2
*/
public int compareTo(Integer anotherInteger) {
return compare(this.value, anotherInteger.value);
}
/**
* Compares two {@code int} values numerically.
* The value returned is identical to what would be returned by:
* <pre>
* Integer.valueOf(x).compareTo(Integer.valueOf(y))
* </pre>
*
* @param x the first {@code int} to compare
* @param y the second {@code int} to compare
* @return the value {@code 0} if {@code x == y};
* a value less than {@code 0} if {@code x < y}; and
* a value greater than {@code 0} if {@code x > y}
* @since 1.7
*/
public static int compare(int x, int y) {
return (x < y) ? -1 : ((x == y) ? 0 : 1);
}
/**
* Compares two {@code int} values numerically treating the values
* as unsigned.
*
* @param x the first {@code int} to compare
* @param y the second {@code int} to compare
* @return the value {@code 0} if {@code x == y}; a value less
* than {@code 0} if {@code x < y} as unsigned values; and
* a value greater than {@code 0} if {@code x > y} as
* unsigned values
* @since 1.8
*/
public static int compareUnsigned(int x, int y) {
return compare(x + MIN_VALUE, y + MIN_VALUE);
}
/**
* Converts the argument to a {@code long} by an unsigned
* conversion. In an unsigned conversion to a {@code long}, the
* high-order 32 bits of the {@code long} are zero and the
* low-order 32 bits are equal to the bits of the integer
* argument.
*
* Consequently, zero and positive {@code int} values are mapped
* to a numerically equal {@code long} value and negative {@code
* int} values are mapped to a {@code long} value equal to the
* input plus 2<sup>32</sup>.
*
* @param x the value to convert to an unsigned {@code long}
* @return the argument converted to {@code long} by an unsigned
* conversion
* @since 1.8
*/
public static long toUnsignedLong(int x) {
return ((long) x) & 0xffffffffL;
}
/**
* Returns the unsigned quotient of dividing the first argument by
* the second where each argument and the result is interpreted as
* an unsigned value.
*
* <p>Note that in two's complement arithmetic, the three other
* basic arithmetic operations of add, subtract, and multiply are
* bit-wise identical if the two operands are regarded as both
* being signed or both being unsigned. Therefore separate {@code
* addUnsigned}, etc. methods are not provided.
*
* @param dividend the value to be divided
* @param divisor the value doing the dividing
* @return the unsigned quotient of the first argument divided by
* the second argument
* @see #remainderUnsigned
* @since 1.8
*/
public static int divideUnsigned(int dividend, int divisor) {
// In lieu of tricky code, for now just use long arithmetic.
return (int)(toUnsignedLong(dividend) / toUnsignedLong(divisor));
}
/**
* Returns the unsigned remainder from dividing the first argument
* by the second where each argument and the result is interpreted
* as an unsigned value.
*
* @param dividend the value to be divided
* @param divisor the value doing the dividing
* @return the unsigned remainder of the first argument divided by
* the second argument
* @see #divideUnsigned
* @since 1.8
*/
public static int remainderUnsigned(int dividend, int divisor) {
// In lieu of tricky code, for now just use long arithmetic.
return (int)(toUnsignedLong(dividend) % toUnsignedLong(divisor));
}
// Bit twiddling
/**
* The number of bits used to represent an {@code int} value in two's
* complement binary form.
*
* @since 1.5
*/
@Native public static final int SIZE = 32;
/**
* The number of bytes used to represent a {@code int} value in two's
* complement binary form.
*
* @since 1.8
*/
public static final int BYTES = SIZE / Byte.SIZE;
/**
* Returns an {@code int} value with at most a single one-bit, in the
* position of the highest-order ("leftmost") one-bit in the specified
* {@code int} value. Returns zero if the specified value has no
* one-bits in its two's complement binary representation, that is, if it
* is equal to zero.
*
* @param i the value whose highest one bit is to be computed
* @return an {@code int} value with a single one-bit, in the position
* of the highest-order one-bit in the specified value, or zero if
* the specified value is itself equal to zero.
* @since 1.5
*/
public static int highestOneBit(int i) {
// HD, Figure 3-1
i |= (i >> 1);
i |= (i >> 2);
i |= (i >> 4);
i |= (i >> 8);
i |= (i >> 16);
return i - (i >>> 1);
}
/**
* Returns an {@code int} value with at most a single one-bit, in the
* position of the lowest-order ("rightmost") one-bit in the specified
* {@code int} value. Returns zero if the specified value has no
* one-bits in its two's complement binary representation, that is, if it
* is equal to zero.
*
* @param i the value whose lowest one bit is to be computed
* @return an {@code int} value with a single one-bit, in the position
* of the lowest-order one-bit in the specified value, or zero if
* the specified value is itself equal to zero.
* @since 1.5
*/
public static int lowestOneBit(int i) {
// HD, Section 2-1
return i & -i;
}
/**
* Returns the number of zero bits preceding the highest-order
* ("leftmost") one-bit in the two's complement binary representation
* of the specified {@code int} value. Returns 32 if the
* specified value has no one-bits in its two's complement representation,
* in other words if it is equal to zero.
*
* <p>Note that this method is closely related to the logarithm base 2.
* For all positive {@code int} values x:
* <ul>
* <li>floor(log<sub>2</sub>(x)) = {@code 31 - numberOfLeadingZeros(x)}
* <li>ceil(log<sub>2</sub>(x)) = {@code 32 - numberOfLeadingZeros(x - 1)}
* </ul>
*
* @param i the value whose number of leading zeros is to be computed
* @return the number of zero bits preceding the highest-order
* ("leftmost") one-bit in the two's complement binary representation
* of the specified {@code int} value, or 32 if the value
* is equal to zero.
* @since 1.5
*/
public static int numberOfLeadingZeros(int i) {
// HD, Figure 5-6
if (i == 0)
return 32;
int n = 1;
if (i >>> 16 == 0) { n += 16; i <<= 16; }
if (i >>> 24 == 0) { n += 8; i <<= 8; }
if (i >>> 28 == 0) { n += 4; i <<= 4; }
if (i >>> 30 == 0) { n += 2; i <<= 2; }
n -= i >>> 31;
return n;
}
/**
* Returns the number of zero bits following the lowest-order ("rightmost")
* one-bit in the two's complement binary representation of the specified
* {@code int} value. Returns 32 if the specified value has no
* one-bits in its two's complement representation, in other words if it is
* equal to zero.
*
* @param i the value whose number of trailing zeros is to be computed
* @return the number of zero bits following the lowest-order ("rightmost")
* one-bit in the two's complement binary representation of the
* specified {@code int} value, or 32 if the value is equal
* to zero.
* @since 1.5
*/
public static int numberOfTrailingZeros(int i) {
// HD, Figure 5-14
int y;
if (i == 0) return 32;
int n = 31;
y = i <<16; if (y != 0) { n = n -16; i = y; }
y = i << 8; if (y != 0) { n = n - 8; i = y; }
y = i << 4; if (y != 0) { n = n - 4; i = y; }
y = i << 2; if (y != 0) { n = n - 2; i = y; }
return n - ((i << 1) >>> 31);
}
/**
* Returns the number of one-bits in the two's complement binary
* representation of the specified {@code int} value. This function is
* sometimes referred to as the <i>population count</i>.
*
* @param i the value whose bits are to be counted
* @return the number of one-bits in the two's complement binary
* representation of the specified {@code int} value.
* @since 1.5
*/
public static int bitCount(int i) {
// HD, Figure 5-2
i = i - ((i >>> 1) & 0x55555555);
i = (i & 0x33333333) + ((i >>> 2) & 0x33333333);
i = (i + (i >>> 4)) & 0x0f0f0f0f;
i = i + (i >>> 8);
i = i + (i >>> 16);
return i & 0x3f;
}
/**
* Returns the value obtained by rotating the two's complement binary
* representation of the specified {@code int} value left by the
* specified number of bits. (Bits shifted out of the left hand, or
* high-order, side reenter on the right, or low-order.)
*
* <p>Note that left rotation with a negative distance is equivalent to
* right rotation: {@code rotateLeft(val, -distance) == rotateRight(val,
* distance)}. Note also that rotation by any multiple of 32 is a
* no-op, so all but the last five bits of the rotation distance can be
* ignored, even if the distance is negative: {@code rotateLeft(val,
* distance) == rotateLeft(val, distance & 0x1F)}.
*
* @param i the value whose bits are to be rotated left
* @param distance the number of bit positions to rotate left
* @return the value obtained by rotating the two's complement binary
* representation of the specified {@code int} value left by the
* specified number of bits.
* @since 1.5
*/
public static int rotateLeft(int i, int distance) {
return (i << distance) | (i >>> -distance);
}
/**
* Returns the value obtained by rotating the two's complement binary
* representation of the specified {@code int} value right by the
* specified number of bits. (Bits shifted out of the right hand, or
* low-order, side reenter on the left, or high-order.)
*
* <p>Note that right rotation with a negative distance is equivalent to
* left rotation: {@code rotateRight(val, -distance) == rotateLeft(val,
* distance)}. Note also that rotation by any multiple of 32 is a
* no-op, so all but the last five bits of the rotation distance can be
* ignored, even if the distance is negative: {@code rotateRight(val,
* distance) == rotateRight(val, distance & 0x1F)}.
*
* @param i the value whose bits are to be rotated right
* @param distance the number of bit positions to rotate right
* @return the value obtained by rotating the two's complement binary
* representation of the specified {@code int} value right by the
* specified number of bits.
* @since 1.5
*/
public static int rotateRight(int i, int distance) {
return (i >>> distance) | (i << -distance);
}
/**
* Returns the value obtained by reversing the order of the bits in the
* two's complement binary representation of the specified {@code int}
* value.
*
* @param i the value to be reversed
* @return the value obtained by reversing order of the bits in the
* specified {@code int} value.
* @since 1.5
*/
public static int reverse(int i) {
// HD, Figure 7-1
i = (i & 0x55555555) << 1 | (i >>> 1) & 0x55555555;
i = (i & 0x33333333) << 2 | (i >>> 2) & 0x33333333;
i = (i & 0x0f0f0f0f) << 4 | (i >>> 4) & 0x0f0f0f0f;
i = (i << 24) | ((i & 0xff00) << 8) |
((i >>> 8) & 0xff00) | (i >>> 24);
return i;
}
/**
* Returns the signum function of the specified {@code int} value. (The
* return value is -1 if the specified value is negative; 0 if the
* specified value is zero; and 1 if the specified value is positive.)
*
* @param i the value whose signum is to be computed
* @return the signum function of the specified {@code int} value.
* @since 1.5
*/
public static int signum(int i) {
// HD, Section 2-7
return (i >> 31) | (-i >>> 31);
}
/**
* Returns the value obtained by reversing the order of the bytes in the
* two's complement representation of the specified {@code int} value.
*
* @param i the value whose bytes are to be reversed
* @return the value obtained by reversing the bytes in the specified
* {@code int} value.
* @since 1.5
*/
public static int reverseBytes(int i) {
return ((i >>> 24) ) |
((i >> 8) & 0xFF00) |
((i << 8) & 0xFF0000) |
((i << 24));
}
/**
* Adds two integers together as per the + operator.
*
* @param a the first operand
* @param b the second operand
* @return the sum of {@code a} and {@code b}
* @see java.util.function.BinaryOperator
* @since 1.8
*/
public static int sum(int a, int b) {
return a + b;
}
/**
* Returns the greater of two {@code int} values
* as if by calling {@link Math#max(int, int) Math.max}.
*
* @param a the first operand
* @param b the second operand
* @return the greater of {@code a} and {@code b}
* @see java.util.function.BinaryOperator
* @since 1.8
*/
public static int max(int a, int b) {
return Math.max(a, b);
}
/**
* Returns the smaller of two {@code int} values
* as if by calling {@link Math#min(int, int) Math.min}.
*
* @param a the first operand
* @param b the second operand
* @return the smaller of {@code a} and {@code b}
* @see java.util.function.BinaryOperator
* @since 1.8
*/
public static int min(int a, int b) {
return Math.min(a, b);
}
/** use serialVersionUID from JDK 1.0.2 for interoperability */
@Native private static final long serialVersionUID = 1360826667806852920L;
}
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