src/java.base/share/classes/java/lang/Integer.java
changeset 47216 71c04702a3d5
parent 44642 331e669007f7
child 49251 3c0a12972165
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/java.base/share/classes/java/lang/Integer.java	Tue Sep 12 19:03:39 2017 +0200
@@ -0,0 +1,1828 @@
+/*
+ * Copyright (c) 1994, 2017, 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
+ * or visit www.oracle.com if you need additional information or have any
+ * questions.
+ */
+
+package java.lang;
+
+import java.lang.annotation.Native;
+import java.util.Objects;
+import jdk.internal.HotSpotIntrinsicCandidate;
+import jdk.internal.misc.VM;
+
+import static java.lang.String.COMPACT_STRINGS;
+import static java.lang.String.LATIN1;
+import static java.lang.String.UTF16;
+
+/**
+ * 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 1.0
+ */
+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   1.1
+     */
+    @SuppressWarnings("unchecked")
+    public static final Class<Integer>  TYPE = (Class<Integer>) Class.getPrimitiveClass("int");
+
+    /**
+     * All possible chars for representing a number as a String
+     */
+    static final 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);
+        }
+
+        if (COMPACT_STRINGS) {
+            byte[] buf = new byte[33];
+            boolean negative = (i < 0);
+            int charPos = 32;
+
+            if (!negative) {
+                i = -i;
+            }
+
+            while (i <= -radix) {
+                buf[charPos--] = (byte)digits[-(i % radix)];
+                i = i / radix;
+            }
+            buf[charPos] = (byte)digits[-i];
+
+            if (negative) {
+                buf[--charPos] = '-';
+            }
+
+            return StringLatin1.newString(buf, charPos, (33 - charPos));
+        }
+        return toStringUTF16(i, radix);
+    }
+
+    private static String toStringUTF16(int i, int radix) {
+        byte[] buf = new byte[33 * 2];
+        boolean negative = (i < 0);
+        int charPos = 32;
+        if (!negative) {
+            i = -i;
+        }
+        while (i <= -radix) {
+            StringUTF16.putChar(buf, charPos--, digits[-(i % radix)]);
+            i = i / radix;
+        }
+        StringUTF16.putChar(buf, charPos, digits[-i]);
+
+        if (negative) {
+            StringUTF16.putChar(buf, --charPos, '-');
+        }
+        return StringUTF16.newString(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&nbsp;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&nbsp;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&nbsp;16).
+     * @see #parseUnsignedInt(String, int)
+     * @see #toUnsignedString(int, int)
+     * @since   1.0.2
+     */
+    public static String toHexString(int i) {
+        return toUnsignedString0(i, 4);
+    }
+
+    /**
+     * Returns a string representation of the integer argument as an
+     * unsigned integer in base&nbsp;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&nbsp;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&nbsp;8).
+     * @see #parseUnsignedInt(String, int)
+     * @see #toUnsignedString(int, int)
+     * @since   1.0.2
+     */
+    public static String toOctalString(int i) {
+        return toUnsignedString0(i, 3);
+    }
+
+    /**
+     * Returns a string representation of the integer argument as an
+     * unsigned integer in base&nbsp;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&nbsp;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&nbsp;2).
+     * @see #parseUnsignedInt(String, int)
+     * @see #toUnsignedString(int, int)
+     * @since   1.0.2
+     */
+    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);
+        if (COMPACT_STRINGS) {
+            byte[] buf = new byte[chars];
+            formatUnsignedInt(val, shift, buf, 0, chars);
+            return new String(buf, LATIN1);
+        } else {
+            byte[] buf = new byte[chars * 2];
+            formatUnsignedIntUTF16(val, shift, buf, 0, chars);
+            return new String(buf, UTF16);
+        }
+    }
+
+    /**
+     * Format an {@code int} (treated as unsigned) into a character buffer. If
+     * {@code len} exceeds the formatted ASCII representation of {@code val},
+     * {@code buf} will be padded with leading zeroes.
+     *
+     * @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
+     */
+    static void formatUnsignedInt(int val, int shift, char[] buf, int offset, int len) {
+        // assert shift > 0 && shift <=5 : "Illegal shift value";
+        // assert offset >= 0 && offset < buf.length : "illegal offset";
+        // assert len > 0 && (offset + len) <= buf.length : "illegal length";
+        int charPos = offset + len;
+        int radix = 1 << shift;
+        int mask = radix - 1;
+        do {
+            buf[--charPos] = Integer.digits[val & mask];
+            val >>>= shift;
+        } while (charPos > offset);
+    }
+
+    /** byte[]/LATIN1 version    */
+    static void formatUnsignedInt(int val, int shift, byte[] buf, int offset, int len) {
+        int charPos = offset + len;
+        int radix = 1 << shift;
+        int mask = radix - 1;
+        do {
+            buf[--charPos] = (byte)Integer.digits[val & mask];
+            val >>>= shift;
+        } while (charPos > offset);
+    }
+
+    /** byte[]/UTF16 version    */
+    private static void formatUnsignedIntUTF16(int val, int shift, byte[] buf, int offset, int len) {
+        int charPos = offset + len;
+        int radix = 1 << shift;
+        int mask = radix - 1;
+        do {
+            StringUTF16.putChar(buf, --charPos, Integer.digits[val & mask]);
+            val >>>= shift;
+        } while (charPos > offset);
+    }
+
+    static final byte[] 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',
+        } ;
+
+    static final byte[] 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',
+        } ;
+
+
+    /**
+     * 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&nbsp;10.
+     */
+    @HotSpotIntrinsicCandidate
+    public static String toString(int i) {
+        int size = stringSize(i);
+        if (COMPACT_STRINGS) {
+            byte[] buf = new byte[size];
+            getChars(i, size, buf);
+            return new String(buf, LATIN1);
+        } else {
+            byte[] buf = new byte[size * 2];
+            StringUTF16.getChars(i, size, buf);
+            return new String(buf, UTF16);
+        }
+    }
+
+    /**
+     * 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.
+     *
+     * @implNote This method converts positive inputs into negative
+     * values, to cover the Integer.MIN_VALUE case. Converting otherwise
+     * (negative to positive) will expose -Integer.MIN_VALUE that overflows
+     * integer.
+     *
+     * @param i     value to convert
+     * @param index next index, after the least significant digit
+     * @param buf   target buffer, Latin1-encoded
+     * @return index of the most significant digit or minus sign, if present
+     */
+    static int getChars(int i, int index, byte[] buf) {
+        int q, r;
+        int charPos = index;
+
+        boolean negative = i < 0;
+        if (!negative) {
+            i = -i;
+        }
+
+        // Generate two digits per iteration
+        while (i <= -100) {
+            q = i / 100;
+            r = (q * 100) - i;
+            i = q;
+            buf[--charPos] = DigitOnes[r];
+            buf[--charPos] = DigitTens[r];
+        }
+
+        // We know there are at most two digits left at this point.
+        q = i / 10;
+        r = (q * 10) - i;
+        buf[--charPos] = (byte)('0' + r);
+
+        // Whatever left is the remaining digit.
+        if (q < 0) {
+            buf[--charPos] = (byte)('0' - q);
+        }
+
+        if (negative) {
+            buf[--charPos] = (byte)'-';
+        }
+        return charPos;
+    }
+
+    // Left here for compatibility reasons, see JDK-8143900.
+    static final int [] sizeTable = { 9, 99, 999, 9999, 99999, 999999, 9999999,
+                                      99999999, 999999999, Integer.MAX_VALUE };
+
+    /**
+     * Returns the string representation size for a given int value.
+     *
+     * @param x int value
+     * @return string size
+     *
+     * @implNote There are other ways to compute this: e.g. binary search,
+     * but values are biased heavily towards zero, and therefore linear search
+     * wins. The iteration results are also routinely inlined in the generated
+     * code after loop unrolling.
+     */
+    static int stringSize(int x) {
+        int d = 1;
+        if (x >= 0) {
+            d = 0;
+            x = -x;
+        }
+        int p = -10;
+        for (int i = 1; i < 10; i++) {
+            if (x > p)
+                return i + d;
+            p = 10 * p;
+        }
+        return 10 + d;
+    }
+
+    /**
+     * 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");
+        }
+
+        boolean negative = false;
+        int i = 0, len = s.length();
+        int limit = -Integer.MAX_VALUE;
+
+        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++;
+            }
+            int multmin = limit / radix;
+            int result = 0;
+            while (i < len) {
+                // Accumulating negatively avoids surprises near MAX_VALUE
+                int digit = Character.digit(s.charAt(i++), radix);
+                if (digit < 0 || result < multmin) {
+                    throw NumberFormatException.forInputString(s);
+                }
+                result *= radix;
+                if (result < limit + digit) {
+                    throw NumberFormatException.forInputString(s);
+                }
+                result -= digit;
+            }
+            return negative ? result : -result;
+        } else {
+            throw NumberFormatException.forInputString(s);
+        }
+    }
+
+    /**
+     * Parses the {@link CharSequence} argument as a signed {@code int} in the
+     * specified {@code radix}, beginning at the specified {@code beginIndex}
+     * and extending to {@code endIndex - 1}.
+     *
+     * <p>The method does not take steps to guard against the
+     * {@code CharSequence} being mutated while parsing.
+     *
+     * @param      s   the {@code CharSequence} containing the {@code int}
+     *                  representation to be parsed
+     * @param      beginIndex   the beginning index, inclusive.
+     * @param      endIndex     the ending index, exclusive.
+     * @param      radix   the radix to be used while parsing {@code s}.
+     * @return     the signed {@code int} represented by the subsequence in
+     *             the specified radix.
+     * @throws     NullPointerException  if {@code s} is null.
+     * @throws     IndexOutOfBoundsException  if {@code beginIndex} is
+     *             negative, or if {@code beginIndex} is greater than
+     *             {@code endIndex} or if {@code endIndex} is greater than
+     *             {@code s.length()}.
+     * @throws     NumberFormatException  if the {@code CharSequence} does not
+     *             contain a parsable {@code int} in the specified
+     *             {@code radix}, or if {@code radix} is either smaller than
+     *             {@link java.lang.Character#MIN_RADIX} or larger than
+     *             {@link java.lang.Character#MAX_RADIX}.
+     * @since  9
+     */
+    public static int parseInt(CharSequence s, int beginIndex, int endIndex, int radix)
+                throws NumberFormatException {
+        s = Objects.requireNonNull(s);
+
+        if (beginIndex < 0 || beginIndex > endIndex || endIndex > s.length()) {
+            throw new IndexOutOfBoundsException();
+        }
+        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");
+        }
+
+        boolean negative = false;
+        int i = beginIndex;
+        int limit = -Integer.MAX_VALUE;
+
+        if (i < endIndex) {
+            char firstChar = s.charAt(i);
+            if (firstChar < '0') { // Possible leading "+" or "-"
+                if (firstChar == '-') {
+                    negative = true;
+                    limit = Integer.MIN_VALUE;
+                } else if (firstChar != '+') {
+                    throw NumberFormatException.forCharSequence(s, beginIndex,
+                            endIndex, i);
+                }
+                i++;
+                if (i == endIndex) { // Cannot have lone "+" or "-"
+                    throw NumberFormatException.forCharSequence(s, beginIndex,
+                            endIndex, i);
+                }
+            }
+            int multmin = limit / radix;
+            int result = 0;
+            while (i < endIndex) {
+                // Accumulating negatively avoids surprises near MAX_VALUE
+                int digit = Character.digit(s.charAt(i), radix);
+                if (digit < 0 || result < multmin) {
+                    throw NumberFormatException.forCharSequence(s, beginIndex,
+                            endIndex, i);
+                }
+                result *= radix;
+                if (result < limit + digit) {
+                    throw NumberFormatException.forCharSequence(s, beginIndex,
+                            endIndex, i);
+                }
+                i++;
+                result -= digit;
+            }
+            return negative ? result : -result;
+        } else {
+            throw NumberFormatException.forInputString("");
+        }
+    }
+
+    /**
+     * 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 {@link CharSequence} argument as an unsigned {@code int} in
+     * the specified {@code radix}, beginning at the specified
+     * {@code beginIndex} and extending to {@code endIndex - 1}.
+     *
+     * <p>The method does not take steps to guard against the
+     * {@code CharSequence} being mutated while parsing.
+     *
+     * @param      s   the {@code CharSequence} containing the unsigned
+     *                 {@code int} representation to be parsed
+     * @param      beginIndex   the beginning index, inclusive.
+     * @param      endIndex     the ending index, exclusive.
+     * @param      radix   the radix to be used while parsing {@code s}.
+     * @return     the unsigned {@code int} represented by the subsequence in
+     *             the specified radix.
+     * @throws     NullPointerException  if {@code s} is null.
+     * @throws     IndexOutOfBoundsException  if {@code beginIndex} is
+     *             negative, or if {@code beginIndex} is greater than
+     *             {@code endIndex} or if {@code endIndex} is greater than
+     *             {@code s.length()}.
+     * @throws     NumberFormatException  if the {@code CharSequence} does not
+     *             contain a parsable unsigned {@code int} in the specified
+     *             {@code radix}, or if {@code radix} is either smaller than
+     *             {@link java.lang.Character#MIN_RADIX} or larger than
+     *             {@link java.lang.Character#MAX_RADIX}.
+     * @since  9
+     */
+    public static int parseUnsignedInt(CharSequence s, int beginIndex, int endIndex, int radix)
+                throws NumberFormatException {
+        s = Objects.requireNonNull(s);
+
+        if (beginIndex < 0 || beginIndex > endIndex || endIndex > s.length()) {
+            throw new IndexOutOfBoundsException();
+        }
+        int start = beginIndex, len = endIndex - beginIndex;
+
+        if (len > 0) {
+            char firstChar = s.charAt(start);
+            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, start, start + len, radix);
+                } else {
+                    long ell = Long.parseLong(s, start, start + len, 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 new NumberFormatException("");
+        }
+    }
+
+    /**
+     * 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 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
+     * jdk.internal.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 =
+                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
+     */
+    @HotSpotIntrinsicCandidate
+    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.
+     *
+     * @deprecated
+     * It is rarely appropriate to use this constructor. The static factory
+     * {@link #valueOf(int)} is generally a better choice, as it is
+     * likely to yield significantly better space and time performance.
+     */
+    @Deprecated(since="9")
+    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}.
+     * @throws      NumberFormatException if the {@code String} does not
+     *              contain a parsable integer.
+     *
+     * @deprecated
+     * It is rarely appropriate to use this constructor.
+     * Use {@link #parseInt(String)} to convert a string to a
+     * {@code int} primitive, or use {@link #valueOf(String)}
+     * to convert a string to an {@code Integer} object.
+     */
+    @Deprecated(since="9")
+    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}.
+     */
+    @HotSpotIntrinsicCandidate
+    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&nbsp;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 an {@code int} value; compatible with
+     * {@code Integer.hashCode()}.
+     *
+     * @param value the value to hash
+     * @since 1.8
+     *
+     * @return a hash code value for an {@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&trade; 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 an {@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
+     */
+    @HotSpotIntrinsicCandidate
+    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
+     */
+    @HotSpotIntrinsicCandidate
+    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
+     */
+    @HotSpotIntrinsicCandidate
+    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;
+
+        return reverseBytes(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
+     */
+    @HotSpotIntrinsicCandidate
+    public static int reverseBytes(int i) {
+        return (i << 24)            |
+               ((i & 0xff00) << 8)  |
+               ((i >>> 8) & 0xff00) |
+               (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;
+}