/*
 * Copyright (c) 1999, 2013, Oracle and/or its affiliates. All rights reserved.
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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package java.util.regex;

import java.text.Normalizer;
import java.util.Locale;
import java.util.Iterator;
import java.util.Map;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.Arrays;
import java.util.NoSuchElementException;
import java.util.Spliterator;
import java.util.Spliterators;
import java.util.function.Predicate;
import java.util.stream.Stream;
import java.util.stream.StreamSupport;


/**
 * A compiled representation of a regular expression.
 *
 * <p> A regular expression, specified as a string, must first be compiled into
 * an instance of this class.  The resulting pattern can then be used to create
 * a {@link Matcher} object that can match arbitrary {@linkplain
 * java.lang.CharSequence character sequences} against the regular
 * expression.  All of the state involved in performing a match resides in the
 * matcher, so many matchers can share the same pattern.
 *
 * <p> A typical invocation sequence is thus
 *
 * <blockquote><pre>
 * Pattern p = Pattern.{@link #compile compile}("a*b");
 * Matcher m = p.{@link #matcher matcher}("aaaaab");
 * boolean b = m.{@link Matcher#matches matches}();</pre></blockquote>
 *
 * <p> A {@link #matches matches} method is defined by this class as a
 * convenience for when a regular expression is used just once.  This method
 * compiles an expression and matches an input sequence against it in a single
 * invocation.  The statement
 *
 * <blockquote><pre>
 * boolean b = Pattern.matches("a*b", "aaaaab");</pre></blockquote>
 *
 * is equivalent to the three statements above, though for repeated matches it
 * is less efficient since it does not allow the compiled pattern to be reused.
 *
 * <p> Instances of this class are immutable and are safe for use by multiple
 * concurrent threads.  Instances of the {@link Matcher} class are not safe for
 * such use.
 *
 *
 * <h3><a name="sum">Summary of regular-expression constructs</a></h3>
 *
 * <table border="0" cellpadding="1" cellspacing="0"
 *  summary="Regular expression constructs, and what they match">
 *
 * <tr align="left">
 * <th align="left" id="construct">Construct</th>
 * <th align="left" id="matches">Matches</th>
 * </tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="characters">Characters</th></tr>
 *
 * <tr><td valign="top" headers="construct characters"><i>x</i></td>
 *     <td headers="matches">The character <i>x</i></td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\\</tt></td>
 *     <td headers="matches">The backslash character</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\0</tt><i>n</i></td>
 *     <td headers="matches">The character with octal value <tt>0</tt><i>n</i>
 *         (0&nbsp;<tt>&lt;=</tt>&nbsp;<i>n</i>&nbsp;<tt>&lt;=</tt>&nbsp;7)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\0</tt><i>nn</i></td>
 *     <td headers="matches">The character with octal value <tt>0</tt><i>nn</i>
 *         (0&nbsp;<tt>&lt;=</tt>&nbsp;<i>n</i>&nbsp;<tt>&lt;=</tt>&nbsp;7)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\0</tt><i>mnn</i></td>
 *     <td headers="matches">The character with octal value <tt>0</tt><i>mnn</i>
 *         (0&nbsp;<tt>&lt;=</tt>&nbsp;<i>m</i>&nbsp;<tt>&lt;=</tt>&nbsp;3,
 *         0&nbsp;<tt>&lt;=</tt>&nbsp;<i>n</i>&nbsp;<tt>&lt;=</tt>&nbsp;7)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\x</tt><i>hh</i></td>
 *     <td headers="matches">The character with hexadecimal&nbsp;value&nbsp;<tt>0x</tt><i>hh</i></td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>&#92;u</tt><i>hhhh</i></td>
 *     <td headers="matches">The character with hexadecimal&nbsp;value&nbsp;<tt>0x</tt><i>hhhh</i></td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>&#92;x</tt><i>{h...h}</i></td>
 *     <td headers="matches">The character with hexadecimal&nbsp;value&nbsp;<tt>0x</tt><i>h...h</i>
 *         ({@link java.lang.Character#MIN_CODE_POINT Character.MIN_CODE_POINT}
 *         &nbsp;&lt;=&nbsp;<tt>0x</tt><i>h...h</i>&nbsp;&lt;=&nbsp;
 *          {@link java.lang.Character#MAX_CODE_POINT Character.MAX_CODE_POINT})</td></tr>
 * <tr><td valign="top" headers="matches"><tt>\t</tt></td>
 *     <td headers="matches">The tab character (<tt>'&#92;u0009'</tt>)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\n</tt></td>
 *     <td headers="matches">The newline (line feed) character (<tt>'&#92;u000A'</tt>)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\r</tt></td>
 *     <td headers="matches">The carriage-return character (<tt>'&#92;u000D'</tt>)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\f</tt></td>
 *     <td headers="matches">The form-feed character (<tt>'&#92;u000C'</tt>)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\a</tt></td>
 *     <td headers="matches">The alert (bell) character (<tt>'&#92;u0007'</tt>)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\e</tt></td>
 *     <td headers="matches">The escape character (<tt>'&#92;u001B'</tt>)</td></tr>
 * <tr><td valign="top" headers="construct characters"><tt>\c</tt><i>x</i></td>
 *     <td headers="matches">The control character corresponding to <i>x</i></td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="classes">Character classes</th></tr>
 *
 * <tr><td valign="top" headers="construct classes">{@code [abc]}</td>
 *     <td headers="matches">{@code a}, {@code b}, or {@code c} (simple class)</td></tr>
 * <tr><td valign="top" headers="construct classes">{@code [^abc]}</td>
 *     <td headers="matches">Any character except {@code a}, {@code b}, or {@code c} (negation)</td></tr>
 * <tr><td valign="top" headers="construct classes">{@code [a-zA-Z]}</td>
 *     <td headers="matches">{@code a} through {@code z}
 *         or {@code A} through {@code Z}, inclusive (range)</td></tr>
 * <tr><td valign="top" headers="construct classes">{@code [a-d[m-p]]}</td>
 *     <td headers="matches">{@code a} through {@code d},
 *      or {@code m} through {@code p}: {@code [a-dm-p]} (union)</td></tr>
 * <tr><td valign="top" headers="construct classes">{@code [a-z&&[def]]}</td>
 *     <td headers="matches">{@code d}, {@code e}, or {@code f} (intersection)</tr>
 * <tr><td valign="top" headers="construct classes">{@code [a-z&&[^bc]]}</td>
 *     <td headers="matches">{@code a} through {@code z},
 *         except for {@code b} and {@code c}: {@code [ad-z]} (subtraction)</td></tr>
 * <tr><td valign="top" headers="construct classes">{@code [a-z&&[^m-p]]}</td>
 *     <td headers="matches">{@code a} through {@code z},
 *          and not {@code m} through {@code p}: {@code [a-lq-z]}(subtraction)</td></tr>
 * <tr><th>&nbsp;</th></tr>
 *
 * <tr align="left"><th colspan="2" id="predef">Predefined character classes</th></tr>
 *
 * <tr><td valign="top" headers="construct predef"><tt>.</tt></td>
 *     <td headers="matches">Any character (may or may not match <a href="#lt">line terminators</a>)</td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\d</tt></td>
 *     <td headers="matches">A digit: <tt>[0-9]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\D</tt></td>
 *     <td headers="matches">A non-digit: <tt>[^0-9]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\h</tt></td>
 *     <td headers="matches">A horizontal whitespace character:
 *     <tt>[ \t\xA0&#92;u1680&#92;u180e&#92;u2000-&#92;u200a&#92;u202f&#92;u205f&#92;u3000]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\H</tt></td>
 *     <td headers="matches">A non-horizontal whitespace character: <tt>[^\h]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\s</tt></td>
 *     <td headers="matches">A whitespace character: <tt>[ \t\n\x0B\f\r]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\S</tt></td>
 *     <td headers="matches">A non-whitespace character: <tt>[^\s]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\v</tt></td>
 *     <td headers="matches">A vertical whitespace character: <tt>[\n\x0B\f\r\x85&#92;u2028&#92;u2029]</tt>
 *     </td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\V</tt></td>
 *     <td headers="matches">A non-vertical whitespace character: <tt>[^\v]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\w</tt></td>
 *     <td headers="matches">A word character: <tt>[a-zA-Z_0-9]</tt></td></tr>
 * <tr><td valign="top" headers="construct predef"><tt>\W</tt></td>
 *     <td headers="matches">A non-word character: <tt>[^\w]</tt></td></tr>
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="posix"><b>POSIX character classes (US-ASCII only)</b></th></tr>
 *
 * <tr><td valign="top" headers="construct posix">{@code \p{Lower}}</td>
 *     <td headers="matches">A lower-case alphabetic character: {@code [a-z]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Upper}}</td>
 *     <td headers="matches">An upper-case alphabetic character:{@code [A-Z]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{ASCII}}</td>
 *     <td headers="matches">All ASCII:{@code [\x00-\x7F]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Alpha}}</td>
 *     <td headers="matches">An alphabetic character:{@code [\p{Lower}\p{Upper}]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Digit}}</td>
 *     <td headers="matches">A decimal digit: {@code [0-9]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Alnum}}</td>
 *     <td headers="matches">An alphanumeric character:{@code [\p{Alpha}\p{Digit}]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Punct}}</td>
 *     <td headers="matches">Punctuation: One of {@code !"#$%&'()*+,-./:;<=>?@[\]^_`{|}~}</td></tr>
 *     <!-- {@code [\!"#\$%&'\(\)\*\+,\-\./:;\<=\>\?@\[\\\]\^_`\{\|\}~]}
 *          {@code [\X21-\X2F\X31-\X40\X5B-\X60\X7B-\X7E]} -->
 * <tr><td valign="top" headers="construct posix">{@code \p{Graph}}</td>
 *     <td headers="matches">A visible character: {@code [\p{Alnum}\p{Punct}]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Print}}</td>
 *     <td headers="matches">A printable character: {@code [\p{Graph}\x20]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Blank}}</td>
 *     <td headers="matches">A space or a tab: {@code [ \t]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Cntrl}}</td>
 *     <td headers="matches">A control character: {@code [\x00-\x1F\x7F]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{XDigit}}</td>
 *     <td headers="matches">A hexadecimal digit: {@code [0-9a-fA-F]}</td></tr>
 * <tr><td valign="top" headers="construct posix">{@code \p{Space}}</td>
 *     <td headers="matches">A whitespace character: {@code [ \t\n\x0B\f\r]}</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2">java.lang.Character classes (simple <a href="#jcc">java character type</a>)</th></tr>
 *
 * <tr><td valign="top"><tt>\p{javaLowerCase}</tt></td>
 *     <td>Equivalent to java.lang.Character.isLowerCase()</td></tr>
 * <tr><td valign="top"><tt>\p{javaUpperCase}</tt></td>
 *     <td>Equivalent to java.lang.Character.isUpperCase()</td></tr>
 * <tr><td valign="top"><tt>\p{javaWhitespace}</tt></td>
 *     <td>Equivalent to java.lang.Character.isWhitespace()</td></tr>
 * <tr><td valign="top"><tt>\p{javaMirrored}</tt></td>
 *     <td>Equivalent to java.lang.Character.isMirrored()</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="unicode">Classes for Unicode scripts, blocks, categories and binary properties</th></tr>
 * <tr><td valign="top" headers="construct unicode">{@code \p{IsLatin}}</td>
 *     <td headers="matches">A Latin&nbsp;script character (<a href="#usc">script</a>)</td></tr>
 * <tr><td valign="top" headers="construct unicode">{@code \p{InGreek}}</td>
 *     <td headers="matches">A character in the Greek&nbsp;block (<a href="#ubc">block</a>)</td></tr>
 * <tr><td valign="top" headers="construct unicode">{@code \p{Lu}}</td>
 *     <td headers="matches">An uppercase letter (<a href="#ucc">category</a>)</td></tr>
 * <tr><td valign="top" headers="construct unicode">{@code \p{IsAlphabetic}}</td>
 *     <td headers="matches">An alphabetic character (<a href="#ubpc">binary property</a>)</td></tr>
 * <tr><td valign="top" headers="construct unicode">{@code \p{Sc}}</td>
 *     <td headers="matches">A currency symbol</td></tr>
 * <tr><td valign="top" headers="construct unicode">{@code \P{InGreek}}</td>
 *     <td headers="matches">Any character except one in the Greek block (negation)</td></tr>
 * <tr><td valign="top" headers="construct unicode">{@code [\p{L}&&[^\p{Lu}]]}</td>
 *     <td headers="matches">Any letter except an uppercase letter (subtraction)</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="bounds">Boundary matchers</th></tr>
 *
 * <tr><td valign="top" headers="construct bounds"><tt>^</tt></td>
 *     <td headers="matches">The beginning of a line</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>$</tt></td>
 *     <td headers="matches">The end of a line</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>\b</tt></td>
 *     <td headers="matches">A word boundary</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>\B</tt></td>
 *     <td headers="matches">A non-word boundary</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>\A</tt></td>
 *     <td headers="matches">The beginning of the input</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>\G</tt></td>
 *     <td headers="matches">The end of the previous match</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>\Z</tt></td>
 *     <td headers="matches">The end of the input but for the final
 *         <a href="#lt">terminator</a>, if&nbsp;any</td></tr>
 * <tr><td valign="top" headers="construct bounds"><tt>\z</tt></td>
 *     <td headers="matches">The end of the input</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="lineending">Linebreak matcher</th></tr>
 * <tr><td valign="top" headers="construct lineending"><tt>\R</tt></td>
 *     <td headers="matches">Any Unicode linebreak sequence, is equivalent to
 *     <tt>&#92;u000D&#92;u000A|[&#92;u000A&#92;u000B&#92;u000C&#92;u000D&#92;u0085&#92;u2028&#92;u2029]
 *     </tt></td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="greedy">Greedy quantifiers</th></tr>
 *
 * <tr><td valign="top" headers="construct greedy"><i>X</i><tt>?</tt></td>
 *     <td headers="matches"><i>X</i>, once or not at all</td></tr>
 * <tr><td valign="top" headers="construct greedy"><i>X</i><tt>*</tt></td>
 *     <td headers="matches"><i>X</i>, zero or more times</td></tr>
 * <tr><td valign="top" headers="construct greedy"><i>X</i><tt>+</tt></td>
 *     <td headers="matches"><i>X</i>, one or more times</td></tr>
 * <tr><td valign="top" headers="construct greedy"><i>X</i><tt>{</tt><i>n</i><tt>}</tt></td>
 *     <td headers="matches"><i>X</i>, exactly <i>n</i> times</td></tr>
 * <tr><td valign="top" headers="construct greedy"><i>X</i><tt>{</tt><i>n</i><tt>,}</tt></td>
 *     <td headers="matches"><i>X</i>, at least <i>n</i> times</td></tr>
 * <tr><td valign="top" headers="construct greedy"><i>X</i><tt>{</tt><i>n</i><tt>,</tt><i>m</i><tt>}</tt></td>
 *     <td headers="matches"><i>X</i>, at least <i>n</i> but not more than <i>m</i> times</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="reluc">Reluctant quantifiers</th></tr>
 *
 * <tr><td valign="top" headers="construct reluc"><i>X</i><tt>??</tt></td>
 *     <td headers="matches"><i>X</i>, once or not at all</td></tr>
 * <tr><td valign="top" headers="construct reluc"><i>X</i><tt>*?</tt></td>
 *     <td headers="matches"><i>X</i>, zero or more times</td></tr>
 * <tr><td valign="top" headers="construct reluc"><i>X</i><tt>+?</tt></td>
 *     <td headers="matches"><i>X</i>, one or more times</td></tr>
 * <tr><td valign="top" headers="construct reluc"><i>X</i><tt>{</tt><i>n</i><tt>}?</tt></td>
 *     <td headers="matches"><i>X</i>, exactly <i>n</i> times</td></tr>
 * <tr><td valign="top" headers="construct reluc"><i>X</i><tt>{</tt><i>n</i><tt>,}?</tt></td>
 *     <td headers="matches"><i>X</i>, at least <i>n</i> times</td></tr>
 * <tr><td valign="top" headers="construct reluc"><i>X</i><tt>{</tt><i>n</i><tt>,</tt><i>m</i><tt>}?</tt></td>
 *     <td headers="matches"><i>X</i>, at least <i>n</i> but not more than <i>m</i> times</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="poss">Possessive quantifiers</th></tr>
 *
 * <tr><td valign="top" headers="construct poss"><i>X</i><tt>?+</tt></td>
 *     <td headers="matches"><i>X</i>, once or not at all</td></tr>
 * <tr><td valign="top" headers="construct poss"><i>X</i><tt>*+</tt></td>
 *     <td headers="matches"><i>X</i>, zero or more times</td></tr>
 * <tr><td valign="top" headers="construct poss"><i>X</i><tt>++</tt></td>
 *     <td headers="matches"><i>X</i>, one or more times</td></tr>
 * <tr><td valign="top" headers="construct poss"><i>X</i><tt>{</tt><i>n</i><tt>}+</tt></td>
 *     <td headers="matches"><i>X</i>, exactly <i>n</i> times</td></tr>
 * <tr><td valign="top" headers="construct poss"><i>X</i><tt>{</tt><i>n</i><tt>,}+</tt></td>
 *     <td headers="matches"><i>X</i>, at least <i>n</i> times</td></tr>
 * <tr><td valign="top" headers="construct poss"><i>X</i><tt>{</tt><i>n</i><tt>,</tt><i>m</i><tt>}+</tt></td>
 *     <td headers="matches"><i>X</i>, at least <i>n</i> but not more than <i>m</i> times</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="logical">Logical operators</th></tr>
 *
 * <tr><td valign="top" headers="construct logical"><i>XY</i></td>
 *     <td headers="matches"><i>X</i> followed by <i>Y</i></td></tr>
 * <tr><td valign="top" headers="construct logical"><i>X</i><tt>|</tt><i>Y</i></td>
 *     <td headers="matches">Either <i>X</i> or <i>Y</i></td></tr>
 * <tr><td valign="top" headers="construct logical"><tt>(</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches">X, as a <a href="#cg">capturing group</a></td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="backref">Back references</th></tr>
 *
 * <tr><td valign="bottom" headers="construct backref"><tt>\</tt><i>n</i></td>
 *     <td valign="bottom" headers="matches">Whatever the <i>n</i><sup>th</sup>
 *     <a href="#cg">capturing group</a> matched</td></tr>
 *
 * <tr><td valign="bottom" headers="construct backref"><tt>\</tt><i>k</i>&lt;<i>name</i>&gt;</td>
 *     <td valign="bottom" headers="matches">Whatever the
 *     <a href="#groupname">named-capturing group</a> "name" matched</td></tr>
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="quot">Quotation</th></tr>
 *
 * <tr><td valign="top" headers="construct quot"><tt>\</tt></td>
 *     <td headers="matches">Nothing, but quotes the following character</td></tr>
 * <tr><td valign="top" headers="construct quot"><tt>\Q</tt></td>
 *     <td headers="matches">Nothing, but quotes all characters until <tt>\E</tt></td></tr>
 * <tr><td valign="top" headers="construct quot"><tt>\E</tt></td>
 *     <td headers="matches">Nothing, but ends quoting started by <tt>\Q</tt></td></tr>
 *     <!-- Metachars: !$()*+.<>?[\]^{|} -->
 *
 * <tr><th>&nbsp;</th></tr>
 * <tr align="left"><th colspan="2" id="special">Special constructs (named-capturing and non-capturing)</th></tr>
 *
 * <tr><td valign="top" headers="construct special"><tt>(?&lt;<a href="#groupname">name</a>&gt;</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, as a named-capturing group</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?:</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, as a non-capturing group</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?idmsuxU-idmsuxU)&nbsp;</tt></td>
 *     <td headers="matches">Nothing, but turns match flags <a href="#CASE_INSENSITIVE">i</a>
 * <a href="#UNIX_LINES">d</a> <a href="#MULTILINE">m</a> <a href="#DOTALL">s</a>
 * <a href="#UNICODE_CASE">u</a> <a href="#COMMENTS">x</a> <a href="#UNICODE_CHARACTER_CLASS">U</a>
 * on - off</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?idmsux-idmsux:</tt><i>X</i><tt>)</tt>&nbsp;&nbsp;</td>
 *     <td headers="matches"><i>X</i>, as a <a href="#cg">non-capturing group</a> with the
 *         given flags <a href="#CASE_INSENSITIVE">i</a> <a href="#UNIX_LINES">d</a>
 * <a href="#MULTILINE">m</a> <a href="#DOTALL">s</a> <a href="#UNICODE_CASE">u</a >
 * <a href="#COMMENTS">x</a> on - off</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?=</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, via zero-width positive lookahead</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?!</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, via zero-width negative lookahead</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?&lt;=</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, via zero-width positive lookbehind</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?&lt;!</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, via zero-width negative lookbehind</td></tr>
 * <tr><td valign="top" headers="construct special"><tt>(?&gt;</tt><i>X</i><tt>)</tt></td>
 *     <td headers="matches"><i>X</i>, as an independent, non-capturing group</td></tr>
 *
 * </table>
 *
 * <hr>
 *
 *
 * <h3><a name="bs">Backslashes, escapes, and quoting</a></h3>
 *
 * <p> The backslash character (<tt>'\'</tt>) serves to introduce escaped
 * constructs, as defined in the table above, as well as to quote characters
 * that otherwise would be interpreted as unescaped constructs.  Thus the
 * expression <tt>\\</tt> matches a single backslash and <tt>\{</tt> matches a
 * left brace.
 *
 * <p> It is an error to use a backslash prior to any alphabetic character that
 * does not denote an escaped construct; these are reserved for future
 * extensions to the regular-expression language.  A backslash may be used
 * prior to a non-alphabetic character regardless of whether that character is
 * part of an unescaped construct.
 *
 * <p> Backslashes within string literals in Java source code are interpreted
 * as required by
 * <cite>The Java&trade; Language Specification</cite>
 * as either Unicode escapes (section 3.3) or other character escapes (section 3.10.6)
 * It is therefore necessary to double backslashes in string
 * literals that represent regular expressions to protect them from
 * interpretation by the Java bytecode compiler.  The string literal
 * <tt>"&#92;b"</tt>, for example, matches a single backspace character when
 * interpreted as a regular expression, while <tt>"&#92;&#92;b"</tt> matches a
 * word boundary.  The string literal <tt>"&#92;(hello&#92;)"</tt> is illegal
 * and leads to a compile-time error; in order to match the string
 * <tt>(hello)</tt> the string literal <tt>"&#92;&#92;(hello&#92;&#92;)"</tt>
 * must be used.
 *
 * <h3><a name="cc">Character Classes</a></h3>
 *
 *    <p> Character classes may appear within other character classes, and
 *    may be composed by the union operator (implicit) and the intersection
 *    operator (<tt>&amp;&amp;</tt>).
 *    The union operator denotes a class that contains every character that is
 *    in at least one of its operand classes.  The intersection operator
 *    denotes a class that contains every character that is in both of its
 *    operand classes.
 *
 *    <p> The precedence of character-class operators is as follows, from
 *    highest to lowest:
 *
 *    <blockquote><table border="0" cellpadding="1" cellspacing="0"
 *                 summary="Precedence of character class operators.">
 *      <tr><th>1&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *        <td>Literal escape&nbsp;&nbsp;&nbsp;&nbsp;</td>
 *        <td><tt>\x</tt></td></tr>
 *     <tr><th>2&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *        <td>Grouping</td>
 *        <td><tt>[...]</tt></td></tr>
 *     <tr><th>3&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *        <td>Range</td>
 *        <td><tt>a-z</tt></td></tr>
 *      <tr><th>4&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *        <td>Union</td>
 *        <td><tt>[a-e][i-u]</tt></td></tr>
 *      <tr><th>5&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *        <td>Intersection</td>
 *        <td>{@code [a-z&&[aeiou]]}</td></tr>
 *    </table></blockquote>
 *
 *    <p> Note that a different set of metacharacters are in effect inside
 *    a character class than outside a character class. For instance, the
 *    regular expression <tt>.</tt> loses its special meaning inside a
 *    character class, while the expression <tt>-</tt> becomes a range
 *    forming metacharacter.
 *
 * <h3><a name="lt">Line terminators</a></h3>
 *
 * <p> A <i>line terminator</i> is a one- or two-character sequence that marks
 * the end of a line of the input character sequence.  The following are
 * recognized as line terminators:
 *
 * <ul>
 *
 *   <li> A newline (line feed) character&nbsp;(<tt>'\n'</tt>),
 *
 *   <li> A carriage-return character followed immediately by a newline
 *   character&nbsp;(<tt>"\r\n"</tt>),
 *
 *   <li> A standalone carriage-return character&nbsp;(<tt>'\r'</tt>),
 *
 *   <li> A next-line character&nbsp;(<tt>'&#92;u0085'</tt>),
 *
 *   <li> A line-separator character&nbsp;(<tt>'&#92;u2028'</tt>), or
 *
 *   <li> A paragraph-separator character&nbsp;(<tt>'&#92;u2029</tt>).
 *
 * </ul>
 * <p>If {@link #UNIX_LINES} mode is activated, then the only line terminators
 * recognized are newline characters.
 *
 * <p> The regular expression <tt>.</tt> matches any character except a line
 * terminator unless the {@link #DOTALL} flag is specified.
 *
 * <p> By default, the regular expressions <tt>^</tt> and <tt>$</tt> ignore
 * line terminators and only match at the beginning and the end, respectively,
 * of the entire input sequence. If {@link #MULTILINE} mode is activated then
 * <tt>^</tt> matches at the beginning of input and after any line terminator
 * except at the end of input. When in {@link #MULTILINE} mode <tt>$</tt>
 * matches just before a line terminator or the end of the input sequence.
 *
 * <h3><a name="cg">Groups and capturing</a></h3>
 *
 * <h4><a name="gnumber">Group number</a></h4>
 * <p> Capturing groups are numbered by counting their opening parentheses from
 * left to right.  In the expression <tt>((A)(B(C)))</tt>, for example, there
 * are four such groups: </p>
 *
 * <blockquote><table cellpadding=1 cellspacing=0 summary="Capturing group numberings">
 * <tr><th>1&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *     <td><tt>((A)(B(C)))</tt></td></tr>
 * <tr><th>2&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *     <td><tt>(A)</tt></td></tr>
 * <tr><th>3&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *     <td><tt>(B(C))</tt></td></tr>
 * <tr><th>4&nbsp;&nbsp;&nbsp;&nbsp;</th>
 *     <td><tt>(C)</tt></td></tr>
 * </table></blockquote>
 *
 * <p> Group zero always stands for the entire expression.
 *
 * <p> Capturing groups are so named because, during a match, each subsequence
 * of the input sequence that matches such a group is saved.  The captured
 * subsequence may be used later in the expression, via a back reference, and
 * may also be retrieved from the matcher once the match operation is complete.
 *
 * <h4><a name="groupname">Group name</a></h4>
 * <p>A capturing group can also be assigned a "name", a <tt>named-capturing group</tt>,
 * and then be back-referenced later by the "name". Group names are composed of
 * the following characters. The first character must be a <tt>letter</tt>.
 *
 * <ul>
 *   <li> The uppercase letters <tt>'A'</tt> through <tt>'Z'</tt>
 *        (<tt>'&#92;u0041'</tt>&nbsp;through&nbsp;<tt>'&#92;u005a'</tt>),
 *   <li> The lowercase letters <tt>'a'</tt> through <tt>'z'</tt>
 *        (<tt>'&#92;u0061'</tt>&nbsp;through&nbsp;<tt>'&#92;u007a'</tt>),
 *   <li> The digits <tt>'0'</tt> through <tt>'9'</tt>
 *        (<tt>'&#92;u0030'</tt>&nbsp;through&nbsp;<tt>'&#92;u0039'</tt>),
 * </ul>
 *
 * <p> A <tt>named-capturing group</tt> is still numbered as described in
 * <a href="#gnumber">Group number</a>.
 *
 * <p> The captured input associated with a group is always the subsequence
 * that the group most recently matched.  If a group is evaluated a second time
 * because of quantification then its previously-captured value, if any, will
 * be retained if the second evaluation fails.  Matching the string
 * <tt>"aba"</tt> against the expression <tt>(a(b)?)+</tt>, for example, leaves
 * group two set to <tt>"b"</tt>.  All captured input is discarded at the
 * beginning of each match.
 *
 * <p> Groups beginning with <tt>(?</tt> are either pure, <i>non-capturing</i> groups
 * that do not capture text and do not count towards the group total, or
 * <i>named-capturing</i> group.
 *
 * <h3> Unicode support </h3>
 *
 * <p> This class is in conformance with Level 1 of <a
 * href="http://www.unicode.org/reports/tr18/"><i>Unicode Technical
 * Standard #18: Unicode Regular Expression</i></a>, plus RL2.1
 * Canonical Equivalents.
 * <p>
 * <b>Unicode escape sequences</b> such as <tt>&#92;u2014</tt> in Java source code
 * are processed as described in section 3.3 of
 * <cite>The Java&trade; Language Specification</cite>.
 * Such escape sequences are also implemented directly by the regular-expression
 * parser so that Unicode escapes can be used in expressions that are read from
 * files or from the keyboard.  Thus the strings <tt>"&#92;u2014"</tt> and
 * <tt>"\\u2014"</tt>, while not equal, compile into the same pattern, which
 * matches the character with hexadecimal value <tt>0x2014</tt>.
 * <p>
 * A Unicode character can also be represented in a regular-expression by
 * using its <b>Hex notation</b>(hexadecimal code point value) directly as described in construct
 * <tt>&#92;x{...}</tt>, for example a supplementary character U+2011F
 * can be specified as <tt>&#92;x{2011F}</tt>, instead of two consecutive
 * Unicode escape sequences of the surrogate pair
 * <tt>&#92;uD840</tt><tt>&#92;uDD1F</tt>.
 * <p>
 * Unicode scripts, blocks, categories and binary properties are written with
 * the <tt>\p</tt> and <tt>\P</tt> constructs as in Perl.
 * <tt>\p{</tt><i>prop</i><tt>}</tt> matches if
 * the input has the property <i>prop</i>, while <tt>\P{</tt><i>prop</i><tt>}</tt>
 * does not match if the input has that property.
 * <p>
 * Scripts, blocks, categories and binary properties can be used both inside
 * and outside of a character class.
 *
 * <p>
 * <b><a name="usc">Scripts</a></b> are specified either with the prefix {@code Is}, as in
 * {@code IsHiragana}, or by using  the {@code script} keyword (or its short
 * form {@code sc})as in {@code script=Hiragana} or {@code sc=Hiragana}.
 * <p>
 * The script names supported by <code>Pattern</code> are the valid script names
 * accepted and defined by
 * {@link java.lang.Character.UnicodeScript#forName(String) UnicodeScript.forName}.
 *
 * <p>
 * <b><a name="ubc">Blocks</a></b> are specified with the prefix {@code In}, as in
 * {@code InMongolian}, or by using the keyword {@code block} (or its short
 * form {@code blk}) as in {@code block=Mongolian} or {@code blk=Mongolian}.
 * <p>
 * The block names supported by <code>Pattern</code> are the valid block names
 * accepted and defined by
 * {@link java.lang.Character.UnicodeBlock#forName(String) UnicodeBlock.forName}.
 * <p>
 *
 * <b><a name="ucc">Categories</a></b> may be specified with the optional prefix {@code Is}:
 * Both {@code \p{L}} and {@code \p{IsL}} denote the category of Unicode
 * letters. Same as scripts and blocks, categories can also be specified
 * by using the keyword {@code general_category} (or its short form
 * {@code gc}) as in {@code general_category=Lu} or {@code gc=Lu}.
 * <p>
 * The supported categories are those of
 * <a href="http://www.unicode.org/unicode/standard/standard.html">
 * <i>The Unicode Standard</i></a> in the version specified by the
 * {@link java.lang.Character Character} class. The category names are those
 * defined in the Standard, both normative and informative.
 * <p>
 *
 * <b><a name="ubpc">Binary properties</a></b> are specified with the prefix {@code Is}, as in
 * {@code IsAlphabetic}. The supported binary properties by <code>Pattern</code>
 * are
 * <ul>
 *   <li> Alphabetic
 *   <li> Ideographic
 *   <li> Letter
 *   <li> Lowercase
 *   <li> Uppercase
 *   <li> Titlecase
 *   <li> Punctuation
 *   <Li> Control
 *   <li> White_Space
 *   <li> Digit
 *   <li> Hex_Digit
 *   <li> Join_Control
 *   <li> Noncharacter_Code_Point
 *   <li> Assigned
 * </ul>
 * <p>
 * The following <b>Predefined Character classes</b> and <b>POSIX character classes</b>
 * are in conformance with the recommendation of <i>Annex C: Compatibility Properties</i>
 * of <a href="http://www.unicode.org/reports/tr18/"><i>Unicode Regular Expression
 * </i></a>, when {@link #UNICODE_CHARACTER_CLASS} flag is specified.
 *
 * <table border="0" cellpadding="1" cellspacing="0"
 *  summary="predefined and posix character classes in Unicode mode">
 * <tr align="left">
 * <th align="left" id="predef_classes">Classes</th>
 * <th align="left" id="predef_matches">Matches</th>
 *</tr>
 * <tr><td><tt>\p{Lower}</tt></td>
 *     <td>A lowercase character:<tt>\p{IsLowercase}</tt></td></tr>
 * <tr><td><tt>\p{Upper}</tt></td>
 *     <td>An uppercase character:<tt>\p{IsUppercase}</tt></td></tr>
 * <tr><td><tt>\p{ASCII}</tt></td>
 *     <td>All ASCII:<tt>[\x00-\x7F]</tt></td></tr>
 * <tr><td><tt>\p{Alpha}</tt></td>
 *     <td>An alphabetic character:<tt>\p{IsAlphabetic}</tt></td></tr>
 * <tr><td><tt>\p{Digit}</tt></td>
 *     <td>A decimal digit character:<tt>p{IsDigit}</tt></td></tr>
 * <tr><td><tt>\p{Alnum}</tt></td>
 *     <td>An alphanumeric character:<tt>[\p{IsAlphabetic}\p{IsDigit}]</tt></td></tr>
 * <tr><td><tt>\p{Punct}</tt></td>
 *     <td>A punctuation character:<tt>p{IsPunctuation}</tt></td></tr>
 * <tr><td><tt>\p{Graph}</tt></td>
 *     <td>A visible character: <tt>[^\p{IsWhite_Space}\p{gc=Cc}\p{gc=Cs}\p{gc=Cn}]</tt></td></tr>
 * <tr><td><tt>\p{Print}</tt></td>
 *     <td>A printable character: {@code [\p{Graph}\p{Blank}&&[^\p{Cntrl}]]}</td></tr>
 * <tr><td><tt>\p{Blank}</tt></td>
 *     <td>A space or a tab: {@code [\p{IsWhite_Space}&&[^\p{gc=Zl}\p{gc=Zp}\x0a\x0b\x0c\x0d\x85]]}</td></tr>
 * <tr><td><tt>\p{Cntrl}</tt></td>
 *     <td>A control character: <tt>\p{gc=Cc}</tt></td></tr>
 * <tr><td><tt>\p{XDigit}</tt></td>
 *     <td>A hexadecimal digit: <tt>[\p{gc=Nd}\p{IsHex_Digit}]</tt></td></tr>
 * <tr><td><tt>\p{Space}</tt></td>
 *     <td>A whitespace character:<tt>\p{IsWhite_Space}</tt></td></tr>
 * <tr><td><tt>\d</tt></td>
 *     <td>A digit: <tt>\p{IsDigit}</tt></td></tr>
 * <tr><td><tt>\D</tt></td>
 *     <td>A non-digit: <tt>[^\d]</tt></td></tr>
 * <tr><td><tt>\s</tt></td>
 *     <td>A whitespace character: <tt>\p{IsWhite_Space}</tt></td></tr>
 * <tr><td><tt>\S</tt></td>
 *     <td>A non-whitespace character: <tt>[^\s]</tt></td></tr>
 * <tr><td><tt>\w</tt></td>
 *     <td>A word character: <tt>[\p{Alpha}\p{gc=Mn}\p{gc=Me}\p{gc=Mc}\p{Digit}\p{gc=Pc}\p{IsJoin_Control}]</tt></td></tr>
 * <tr><td><tt>\W</tt></td>
 *     <td>A non-word character: <tt>[^\w]</tt></td></tr>
 * </table>
 * <p>
 * <a name="jcc">
 * Categories that behave like the java.lang.Character
 * boolean is<i>methodname</i> methods (except for the deprecated ones) are
 * available through the same <tt>\p{</tt><i>prop</i><tt>}</tt> syntax where
 * the specified property has the name <tt>java<i>methodname</i></tt></a>.
 *
 * <h3> Comparison to Perl 5 </h3>
 *
 * <p>The <code>Pattern</code> engine performs traditional NFA-based matching
 * with ordered alternation as occurs in Perl 5.
 *
 * <p> Perl constructs not supported by this class: </p>
 *
 * <ul>
 *    <li><p> Predefined character classes (Unicode character)
 *    <p><tt>\X&nbsp;&nbsp;&nbsp;&nbsp;</tt>Match Unicode
 *    <a href="http://www.unicode.org/reports/tr18/#Default_Grapheme_Clusters">
 *    <i>extended grapheme cluster</i></a>
 *    </p></li>
 *
 *    <li><p> The backreference constructs, <tt>\g{</tt><i>n</i><tt>}</tt> for
 *    the <i>n</i><sup>th</sup><a href="#cg">capturing group</a> and
 *    <tt>\g{</tt><i>name</i><tt>}</tt> for
 *    <a href="#groupname">named-capturing group</a>.
 *    </p></li>
 *
 *    <li><p> The named character construct, <tt>\N{</tt><i>name</i><tt>}</tt>
 *    for a Unicode character by its name.
 *    </p></li>
 *
 *    <li><p> The conditional constructs
 *    <tt>(?(</tt><i>condition</i><tt>)</tt><i>X</i><tt>)</tt> and
 *    <tt>(?(</tt><i>condition</i><tt>)</tt><i>X</i><tt>|</tt><i>Y</i><tt>)</tt>,
 *    </p></li>
 *
 *    <li><p> The embedded code constructs <tt>(?{</tt><i>code</i><tt>})</tt>
 *    and <tt>(??{</tt><i>code</i><tt>})</tt>,</p></li>
 *
 *    <li><p> The embedded comment syntax <tt>(?#comment)</tt>, and </p></li>
 *
 *    <li><p> The preprocessing operations <tt>\l</tt> <tt>&#92;u</tt>,
 *    <tt>\L</tt>, and <tt>\U</tt>.  </p></li>
 *
 * </ul>
 *
 * <p> Constructs supported by this class but not by Perl: </p>
 *
 * <ul>
 *
 *    <li><p> Character-class union and intersection as described
 *    <a href="#cc">above</a>.</p></li>
 *
 * </ul>
 *
 * <p> Notable differences from Perl: </p>
 *
 * <ul>
 *
 *    <li><p> In Perl, <tt>\1</tt> through <tt>\9</tt> are always interpreted
 *    as back references; a backslash-escaped number greater than <tt>9</tt> is
 *    treated as a back reference if at least that many subexpressions exist,
 *    otherwise it is interpreted, if possible, as an octal escape.  In this
 *    class octal escapes must always begin with a zero. In this class,
 *    <tt>\1</tt> through <tt>\9</tt> are always interpreted as back
 *    references, and a larger number is accepted as a back reference if at
 *    least that many subexpressions exist at that point in the regular
 *    expression, otherwise the parser will drop digits until the number is
 *    smaller or equal to the existing number of groups or it is one digit.
 *    </p></li>
 *
 *    <li><p> Perl uses the <tt>g</tt> flag to request a match that resumes
 *    where the last match left off.  This functionality is provided implicitly
 *    by the {@link Matcher} class: Repeated invocations of the {@link
 *    Matcher#find find} method will resume where the last match left off,
 *    unless the matcher is reset.  </p></li>
 *
 *    <li><p> In Perl, embedded flags at the top level of an expression affect
 *    the whole expression.  In this class, embedded flags always take effect
 *    at the point at which they appear, whether they are at the top level or
 *    within a group; in the latter case, flags are restored at the end of the
 *    group just as in Perl.  </p></li>
 *
 * </ul>
 *
 *
 * <p> For a more precise description of the behavior of regular expression
 * constructs, please see <a href="http://www.oreilly.com/catalog/regex3/">
 * <i>Mastering Regular Expressions, 3nd Edition</i>, Jeffrey E. F. Friedl,
 * O'Reilly and Associates, 2006.</a>
 * </p>
 *
 * @see java.lang.String#split(String, int)
 * @see java.lang.String#split(String)
 *
 * @author      Mike McCloskey
 * @author      Mark Reinhold
 * @author      JSR-51 Expert Group
 * @since       1.4
 * @spec        JSR-51
 */

public final class Pattern
    implements java.io.Serializable
{

    /**
     * Regular expression modifier values.  Instead of being passed as
     * arguments, they can also be passed as inline modifiers.
     * For example, the following statements have the same effect.
     * <pre>
     * RegExp r1 = RegExp.compile("abc", Pattern.I|Pattern.M);
     * RegExp r2 = RegExp.compile("(?im)abc", 0);
     * </pre>
     *
     * The flags are duplicated so that the familiar Perl match flag
     * names are available.
     */

    /**
     * Enables Unix lines mode.
     *
     * <p> In this mode, only the <tt>'\n'</tt> line terminator is recognized
     * in the behavior of <tt>.</tt>, <tt>^</tt>, and <tt>$</tt>.
     *
     * <p> Unix lines mode can also be enabled via the embedded flag
     * expression&nbsp;<tt>(?d)</tt>.
     */
    public static final int UNIX_LINES = 0x01;

    /**
     * Enables case-insensitive matching.
     *
     * <p> By default, case-insensitive matching assumes that only characters
     * in the US-ASCII charset are being matched.  Unicode-aware
     * case-insensitive matching can be enabled by specifying the {@link
     * #UNICODE_CASE} flag in conjunction with this flag.
     *
     * <p> Case-insensitive matching can also be enabled via the embedded flag
     * expression&nbsp;<tt>(?i)</tt>.
     *
     * <p> Specifying this flag may impose a slight performance penalty.  </p>
     */
    public static final int CASE_INSENSITIVE = 0x02;

    /**
     * Permits whitespace and comments in pattern.
     *
     * <p> In this mode, whitespace is ignored, and embedded comments starting
     * with <tt>#</tt> are ignored until the end of a line.
     *
     * <p> Comments mode can also be enabled via the embedded flag
     * expression&nbsp;<tt>(?x)</tt>.
     */
    public static final int COMMENTS = 0x04;

    /**
     * Enables multiline mode.
     *
     * <p> In multiline mode the expressions <tt>^</tt> and <tt>$</tt> match
     * just after or just before, respectively, a line terminator or the end of
     * the input sequence.  By default these expressions only match at the
     * beginning and the end of the entire input sequence.
     *
     * <p> Multiline mode can also be enabled via the embedded flag
     * expression&nbsp;<tt>(?m)</tt>.  </p>
     */
    public static final int MULTILINE = 0x08;

    /**
     * Enables literal parsing of the pattern.
     *
     * <p> When this flag is specified then the input string that specifies
     * the pattern is treated as a sequence of literal characters.
     * Metacharacters or escape sequences in the input sequence will be
     * given no special meaning.
     *
     * <p>The flags CASE_INSENSITIVE and UNICODE_CASE retain their impact on
     * matching when used in conjunction with this flag. The other flags
     * become superfluous.
     *
     * <p> There is no embedded flag character for enabling literal parsing.
     * @since 1.5
     */
    public static final int LITERAL = 0x10;

    /**
     * Enables dotall mode.
     *
     * <p> In dotall mode, the expression <tt>.</tt> matches any character,
     * including a line terminator.  By default this expression does not match
     * line terminators.
     *
     * <p> Dotall mode can also be enabled via the embedded flag
     * expression&nbsp;<tt>(?s)</tt>.  (The <tt>s</tt> is a mnemonic for
     * "single-line" mode, which is what this is called in Perl.)  </p>
     */
    public static final int DOTALL = 0x20;

    /**
     * Enables Unicode-aware case folding.
     *
     * <p> When this flag is specified then case-insensitive matching, when
     * enabled by the {@link #CASE_INSENSITIVE} flag, is done in a manner
     * consistent with the Unicode Standard.  By default, case-insensitive
     * matching assumes that only characters in the US-ASCII charset are being
     * matched.
     *
     * <p> Unicode-aware case folding can also be enabled via the embedded flag
     * expression&nbsp;<tt>(?u)</tt>.
     *
     * <p> Specifying this flag may impose a performance penalty.  </p>
     */
    public static final int UNICODE_CASE = 0x40;

    /**
     * Enables canonical equivalence.
     *
     * <p> When this flag is specified then two characters will be considered
     * to match if, and only if, their full canonical decompositions match.
     * The expression <tt>"a&#92;u030A"</tt>, for example, will match the
     * string <tt>"&#92;u00E5"</tt> when this flag is specified.  By default,
     * matching does not take canonical equivalence into account.
     *
     * <p> There is no embedded flag character for enabling canonical
     * equivalence.
     *
     * <p> Specifying this flag may impose a performance penalty.  </p>
     */
    public static final int CANON_EQ = 0x80;

    /**
     * Enables the Unicode version of <i>Predefined character classes</i> and
     * <i>POSIX character classes</i>.
     *
     * <p> When this flag is specified then the (US-ASCII only)
     * <i>Predefined character classes</i> and <i>POSIX character classes</i>
     * are in conformance with
     * <a href="http://www.unicode.org/reports/tr18/"><i>Unicode Technical
     * Standard #18: Unicode Regular Expression</i></a>
     * <i>Annex C: Compatibility Properties</i>.
     * <p>
     * The UNICODE_CHARACTER_CLASS mode can also be enabled via the embedded
     * flag expression&nbsp;<tt>(?U)</tt>.
     * <p>
     * The flag implies UNICODE_CASE, that is, it enables Unicode-aware case
     * folding.
     * <p>
     * Specifying this flag may impose a performance penalty.  </p>
     * @since 1.7
     */
    public static final int UNICODE_CHARACTER_CLASS = 0x100;

    /* Pattern has only two serialized components: The pattern string
     * and the flags, which are all that is needed to recompile the pattern
     * when it is deserialized.
     */

    /** use serialVersionUID from Merlin b59 for interoperability */
    private static final long serialVersionUID = 5073258162644648461L;

    /**
     * The original regular-expression pattern string.
     *
     * @serial
     */
    private String pattern;

    /**
     * The original pattern flags.
     *
     * @serial
     */
    private int flags;

    /**
     * Boolean indicating this Pattern is compiled; this is necessary in order
     * to lazily compile deserialized Patterns.
     */
    private transient volatile boolean compiled = false;

    /**
     * The normalized pattern string.
     */
    private transient String normalizedPattern;

    /**
     * The starting point of state machine for the find operation.  This allows
     * a match to start anywhere in the input.
     */
    transient Node root;

    /**
     * The root of object tree for a match operation.  The pattern is matched
     * at the beginning.  This may include a find that uses BnM or a First
     * node.
     */
    transient Node matchRoot;

    /**
     * Temporary storage used by parsing pattern slice.
     */
    transient int[] buffer;

    /**
     * Map the "name" of the "named capturing group" to its group id
     * node.
     */
    transient volatile Map<String, Integer> namedGroups;

    /**
     * Temporary storage used while parsing group references.
     */
    transient GroupHead[] groupNodes;

    /**
     * Temporary null terminated code point array used by pattern compiling.
     */
    private transient int[] temp;

    /**
     * The number of capturing groups in this Pattern. Used by matchers to
     * allocate storage needed to perform a match.
     */
    transient int capturingGroupCount;

    /**
     * The local variable count used by parsing tree. Used by matchers to
     * allocate storage needed to perform a match.
     */
    transient int localCount;

    /**
     * Index into the pattern string that keeps track of how much has been
     * parsed.
     */
    private transient int cursor;

    /**
     * Holds the length of the pattern string.
     */
    private transient int patternLength;

    /**
     * If the Start node might possibly match supplementary characters.
     * It is set to true during compiling if
     * (1) There is supplementary char in pattern, or
     * (2) There is complement node of Category or Block
     */
    private transient boolean hasSupplementary;

    /**
     * Compiles the given regular expression into a pattern.
     *
     * @param  regex
     *         The expression to be compiled
     * @return the given regular expression compiled into a pattern
     * @throws  PatternSyntaxException
     *          If the expression's syntax is invalid
     */
    public static Pattern compile(String regex) {
        return new Pattern(regex, 0);
    }

    /**
     * Compiles the given regular expression into a pattern with the given
     * flags.
     *
     * @param  regex
     *         The expression to be compiled
     *
     * @param  flags
     *         Match flags, a bit mask that may include
     *         {@link #CASE_INSENSITIVE}, {@link #MULTILINE}, {@link #DOTALL},
     *         {@link #UNICODE_CASE}, {@link #CANON_EQ}, {@link #UNIX_LINES},
     *         {@link #LITERAL}, {@link #UNICODE_CHARACTER_CLASS}
     *         and {@link #COMMENTS}
     *
     * @return the given regular expression compiled into a pattern with the given flags
     * @throws  IllegalArgumentException
     *          If bit values other than those corresponding to the defined
     *          match flags are set in <tt>flags</tt>
     *
     * @throws  PatternSyntaxException
     *          If the expression's syntax is invalid
     */
    public static Pattern compile(String regex, int flags) {
        return new Pattern(regex, flags);
    }

    /**
     * Returns the regular expression from which this pattern was compiled.
     *
     * @return  The source of this pattern
     */
    public String pattern() {
        return pattern;
    }

    /**
     * <p>Returns the string representation of this pattern. This
     * is the regular expression from which this pattern was
     * compiled.</p>
     *
     * @return  The string representation of this pattern
     * @since 1.5
     */
    public String toString() {
        return pattern;
    }

    /**
     * Creates a matcher that will match the given input against this pattern.
     *
     * @param  input
     *         The character sequence to be matched
     *
     * @return  A new matcher for this pattern
     */
    public Matcher matcher(CharSequence input) {
        if (!compiled) {
            synchronized(this) {
                if (!compiled)
                    compile();
            }
        }
        Matcher m = new Matcher(this, input);
        return m;
    }

    /**
     * Returns this pattern's match flags.
     *
     * @return  The match flags specified when this pattern was compiled
     */
    public int flags() {
        return flags;
    }

    /**
     * Compiles the given regular expression and attempts to match the given
     * input against it.
     *
     * <p> An invocation of this convenience method of the form
     *
     * <blockquote><pre>
     * Pattern.matches(regex, input);</pre></blockquote>
     *
     * behaves in exactly the same way as the expression
     *
     * <blockquote><pre>
     * Pattern.compile(regex).matcher(input).matches()</pre></blockquote>
     *
     * <p> If a pattern is to be used multiple times, compiling it once and reusing
     * it will be more efficient than invoking this method each time.  </p>
     *
     * @param  regex
     *         The expression to be compiled
     *
     * @param  input
     *         The character sequence to be matched
     * @return whether or not the regular expression matches on the input
     * @throws  PatternSyntaxException
     *          If the expression's syntax is invalid
     */
    public static boolean matches(String regex, CharSequence input) {
        Pattern p = Pattern.compile(regex);
        Matcher m = p.matcher(input);
        return m.matches();
    }

    /**
     * Splits the given input sequence around matches of this pattern.
     *
     * <p> The array returned by this method contains each substring of the
     * input sequence that is terminated by another subsequence that matches
     * this pattern or is terminated by the end of the input sequence.  The
     * substrings in the array are in the order in which they occur in the
     * input. If this pattern does not match any subsequence of the input then
     * the resulting array has just one element, namely the input sequence in
     * string form.
     *
     * <p> When there is a positive-width match at the beginning of the input
     * sequence then an empty leading substring is included at the beginning
     * of the resulting array. A zero-width match at the beginning however
     * never produces such empty leading substring.
     *
     * <p> The <tt>limit</tt> parameter controls the number of times the
     * pattern is applied and therefore affects the length of the resulting
     * array.  If the limit <i>n</i> is greater than zero then the pattern
     * will be applied at most <i>n</i>&nbsp;-&nbsp;1 times, the array's
     * length will be no greater than <i>n</i>, and the array's last entry
     * will contain all input beyond the last matched delimiter.  If <i>n</i>
     * is non-positive then the pattern will be applied as many times as
     * possible and the array can have any length.  If <i>n</i> is zero then
     * the pattern will be applied as many times as possible, the array can
     * have any length, and trailing empty strings will be discarded.
     *
     * <p> The input <tt>"boo:and:foo"</tt>, for example, yields the following
     * results with these parameters:
     *
     * <blockquote><table cellpadding=1 cellspacing=0
     *              summary="Split examples showing regex, limit, and result">
     * <tr><th align="left"><i>Regex&nbsp;&nbsp;&nbsp;&nbsp;</i></th>
     *     <th align="left"><i>Limit&nbsp;&nbsp;&nbsp;&nbsp;</i></th>
     *     <th align="left"><i>Result&nbsp;&nbsp;&nbsp;&nbsp;</i></th></tr>
     * <tr><td align=center>:</td>
     *     <td align=center>2</td>
     *     <td><tt>{ "boo", "and:foo" }</tt></td></tr>
     * <tr><td align=center>:</td>
     *     <td align=center>5</td>
     *     <td><tt>{ "boo", "and", "foo" }</tt></td></tr>
     * <tr><td align=center>:</td>
     *     <td align=center>-2</td>
     *     <td><tt>{ "boo", "and", "foo" }</tt></td></tr>
     * <tr><td align=center>o</td>
     *     <td align=center>5</td>
     *     <td><tt>{ "b", "", ":and:f", "", "" }</tt></td></tr>
     * <tr><td align=center>o</td>
     *     <td align=center>-2</td>
     *     <td><tt>{ "b", "", ":and:f", "", "" }</tt></td></tr>
     * <tr><td align=center>o</td>
     *     <td align=center>0</td>
     *     <td><tt>{ "b", "", ":and:f" }</tt></td></tr>
     * </table></blockquote>
     *
     * @param  input
     *         The character sequence to be split
     *
     * @param  limit
     *         The result threshold, as described above
     *
     * @return  The array of strings computed by splitting the input
     *          around matches of this pattern
     */
    public String[] split(CharSequence input, int limit) {
        int index = 0;
        boolean matchLimited = limit > 0;
        ArrayList<String> matchList = new ArrayList<>();
        Matcher m = matcher(input);

        // Add segments before each match found
        while(m.find()) {
            if (!matchLimited || matchList.size() < limit - 1) {
                if (index == 0 && index == m.start() && m.start() == m.end()) {
                    // no empty leading substring included for zero-width match
                    // at the beginning of the input char sequence.
                    continue;
                }
                String match = input.subSequence(index, m.start()).toString();
                matchList.add(match);
                index = m.end();
            } else if (matchList.size() == limit - 1) { // last one
                String match = input.subSequence(index,
                                                 input.length()).toString();
                matchList.add(match);
                index = m.end();
            }
        }

        // If no match was found, return this
        if (index == 0)
            return new String[] {input.toString()};

        // Add remaining segment
        if (!matchLimited || matchList.size() < limit)
            matchList.add(input.subSequence(index, input.length()).toString());

        // Construct result
        int resultSize = matchList.size();
        if (limit == 0)
            while (resultSize > 0 && matchList.get(resultSize-1).equals(""))
                resultSize--;
        String[] result = new String[resultSize];
        return matchList.subList(0, resultSize).toArray(result);
    }

    /**
     * Splits the given input sequence around matches of this pattern.
     *
     * <p> This method works as if by invoking the two-argument {@link
     * #split(java.lang.CharSequence, int) split} method with the given input
     * sequence and a limit argument of zero.  Trailing empty strings are
     * therefore not included in the resulting array. </p>
     *
     * <p> The input <tt>"boo:and:foo"</tt>, for example, yields the following
     * results with these expressions:
     *
     * <blockquote><table cellpadding=1 cellspacing=0
     *              summary="Split examples showing regex and result">
     * <tr><th align="left"><i>Regex&nbsp;&nbsp;&nbsp;&nbsp;</i></th>
     *     <th align="left"><i>Result</i></th></tr>
     * <tr><td align=center>:</td>
     *     <td><tt>{ "boo", "and", "foo" }</tt></td></tr>
     * <tr><td align=center>o</td>
     *     <td><tt>{ "b", "", ":and:f" }</tt></td></tr>
     * </table></blockquote>
     *
     *
     * @param  input
     *         The character sequence to be split
     *
     * @return  The array of strings computed by splitting the input
     *          around matches of this pattern
     */
    public String[] split(CharSequence input) {
        return split(input, 0);
    }

    /**
     * Returns a literal pattern <code>String</code> for the specified
     * <code>String</code>.
     *
     * <p>This method produces a <code>String</code> that can be used to
     * create a <code>Pattern</code> that would match the string
     * <code>s</code> as if it were a literal pattern.</p> Metacharacters
     * or escape sequences in the input sequence will be given no special
     * meaning.
     *
     * @param  s The string to be literalized
     * @return  A literal string replacement
     * @since 1.5
     */
    public static String quote(String s) {
        int slashEIndex = s.indexOf("\\E");
        if (slashEIndex == -1)
            return "\\Q" + s + "\\E";

        StringBuilder sb = new StringBuilder(s.length() * 2);
        sb.append("\\Q");
        slashEIndex = 0;
        int current = 0;
        while ((slashEIndex = s.indexOf("\\E", current)) != -1) {
            sb.append(s.substring(current, slashEIndex));
            current = slashEIndex + 2;
            sb.append("\\E\\\\E\\Q");
        }
        sb.append(s.substring(current, s.length()));
        sb.append("\\E");
        return sb.toString();
    }

    /**
     * Recompile the Pattern instance from a stream.  The original pattern
     * string is read in and the object tree is recompiled from it.
     */
    private void readObject(java.io.ObjectInputStream s)
        throws java.io.IOException, ClassNotFoundException {

        // Read in all fields
        s.defaultReadObject();

        // Initialize counts
        capturingGroupCount = 1;
        localCount = 0;

        // if length > 0, the Pattern is lazily compiled
        compiled = false;
        if (pattern.length() == 0) {
            root = new Start(lastAccept);
            matchRoot = lastAccept;
            compiled = true;
        }
    }

    /**
     * This private constructor is used to create all Patterns. The pattern
     * string and match flags are all that is needed to completely describe
     * a Pattern. An empty pattern string results in an object tree with
     * only a Start node and a LastNode node.
     */
    private Pattern(String p, int f) {
        pattern = p;
        flags = f;

        // to use UNICODE_CASE if UNICODE_CHARACTER_CLASS present
        if ((flags & UNICODE_CHARACTER_CLASS) != 0)
            flags |= UNICODE_CASE;

        // Reset group index count
        capturingGroupCount = 1;
        localCount = 0;

        if (pattern.length() > 0) {
            compile();
        } else {
            root = new Start(lastAccept);
            matchRoot = lastAccept;
        }
    }

    /**
     * The pattern is converted to normalizedD form and then a pure group
     * is constructed to match canonical equivalences of the characters.
     */
    private void normalize() {
        boolean inCharClass = false;
        int lastCodePoint = -1;

        // Convert pattern into normalizedD form
        normalizedPattern = Normalizer.normalize(pattern, Normalizer.Form.NFD);
        patternLength = normalizedPattern.length();

        // Modify pattern to match canonical equivalences
        StringBuilder newPattern = new StringBuilder(patternLength);
        for(int i=0; i<patternLength; ) {
            int c = normalizedPattern.codePointAt(i);
            StringBuilder sequenceBuffer;
            if ((Character.getType(c) == Character.NON_SPACING_MARK)
                && (lastCodePoint != -1)) {
                sequenceBuffer = new StringBuilder();
                sequenceBuffer.appendCodePoint(lastCodePoint);
                sequenceBuffer.appendCodePoint(c);
                while(Character.getType(c) == Character.NON_SPACING_MARK) {
                    i += Character.charCount(c);
                    if (i >= patternLength)
                        break;
                    c = normalizedPattern.codePointAt(i);
                    sequenceBuffer.appendCodePoint(c);
                }
                String ea = produceEquivalentAlternation(
                                               sequenceBuffer.toString());
                newPattern.setLength(newPattern.length()-Character.charCount(lastCodePoint));
                newPattern.append("(?:").append(ea).append(")");
            } else if (c == '[' && lastCodePoint != '\\') {
                i = normalizeCharClass(newPattern, i);
            } else {
                newPattern.appendCodePoint(c);
            }
            lastCodePoint = c;
            i += Character.charCount(c);
        }
        normalizedPattern = newPattern.toString();
    }

    /**
     * Complete the character class being parsed and add a set
     * of alternations to it that will match the canonical equivalences
     * of the characters within the class.
     */
    private int normalizeCharClass(StringBuilder newPattern, int i) {
        StringBuilder charClass = new StringBuilder();
        StringBuilder eq = null;
        int lastCodePoint = -1;
        String result;

        i++;
        charClass.append("[");
        while(true) {
            int c = normalizedPattern.codePointAt(i);
            StringBuilder sequenceBuffer;

            if (c == ']' && lastCodePoint != '\\') {
                charClass.append((char)c);
                break;
            } else if (Character.getType(c) == Character.NON_SPACING_MARK) {
                sequenceBuffer = new StringBuilder();
                sequenceBuffer.appendCodePoint(lastCodePoint);
                while(Character.getType(c) == Character.NON_SPACING_MARK) {
                    sequenceBuffer.appendCodePoint(c);
                    i += Character.charCount(c);
                    if (i >= normalizedPattern.length())
                        break;
                    c = normalizedPattern.codePointAt(i);
                }
                String ea = produceEquivalentAlternation(
                                                  sequenceBuffer.toString());

                charClass.setLength(charClass.length()-Character.charCount(lastCodePoint));
                if (eq == null)
                    eq = new StringBuilder();
                eq.append('|');
                eq.append(ea);
            } else {
                charClass.appendCodePoint(c);
                i++;
            }
            if (i == normalizedPattern.length())
                throw error("Unclosed character class");
            lastCodePoint = c;
        }

        if (eq != null) {
            result = "(?:"+charClass.toString()+eq.toString()+")";
        } else {
            result = charClass.toString();
        }

        newPattern.append(result);
        return i;
    }

    /**
     * Given a specific sequence composed of a regular character and
     * combining marks that follow it, produce the alternation that will
     * match all canonical equivalences of that sequence.
     */
    private String produceEquivalentAlternation(String source) {
        int len = countChars(source, 0, 1);
        if (source.length() == len)
            // source has one character.
            return source;

        String base = source.substring(0,len);
        String combiningMarks = source.substring(len);

        String[] perms = producePermutations(combiningMarks);
        StringBuilder result = new StringBuilder(source);

        // Add combined permutations
        for(int x=0; x<perms.length; x++) {
            String next = base + perms[x];
            if (x>0)
                result.append("|"+next);
            next = composeOneStep(next);
            if (next != null)
                result.append("|"+produceEquivalentAlternation(next));
        }
        return result.toString();
    }

    /**
     * Returns an array of strings that have all the possible
     * permutations of the characters in the input string.
     * This is used to get a list of all possible orderings
     * of a set of combining marks. Note that some of the permutations
     * are invalid because of combining class collisions, and these
     * possibilities must be removed because they are not canonically
     * equivalent.
     */
    private String[] producePermutations(String input) {
        if (input.length() == countChars(input, 0, 1))
            return new String[] {input};

        if (input.length() == countChars(input, 0, 2)) {
            int c0 = Character.codePointAt(input, 0);
            int c1 = Character.codePointAt(input, Character.charCount(c0));
            if (getClass(c1) == getClass(c0)) {
                return new String[] {input};
            }
            String[] result = new String[2];
            result[0] = input;
            StringBuilder sb = new StringBuilder(2);
            sb.appendCodePoint(c1);
            sb.appendCodePoint(c0);
            result[1] = sb.toString();
            return result;
        }

        int length = 1;
        int nCodePoints = countCodePoints(input);
        for(int x=1; x<nCodePoints; x++)
            length = length * (x+1);

        String[] temp = new String[length];

        int combClass[] = new int[nCodePoints];
        for(int x=0, i=0; x<nCodePoints; x++) {
            int c = Character.codePointAt(input, i);
            combClass[x] = getClass(c);
            i +=  Character.charCount(c);
        }

        // For each char, take it out and add the permutations
        // of the remaining chars
        int index = 0;
        int len;
        // offset maintains the index in code units.
loop:   for(int x=0, offset=0; x<nCodePoints; x++, offset+=len) {
            len = countChars(input, offset, 1);
            boolean skip = false;
            for(int y=x-1; y>=0; y--) {
                if (combClass[y] == combClass[x]) {
                    continue loop;
                }
            }
            StringBuilder sb = new StringBuilder(input);
            String otherChars = sb.delete(offset, offset+len).toString();
            String[] subResult = producePermutations(otherChars);

            String prefix = input.substring(offset, offset+len);
            for(int y=0; y<subResult.length; y++)
                temp[index++] =  prefix + subResult[y];
        }
        String[] result = new String[index];
        for (int x=0; x<index; x++)
            result[x] = temp[x];
        return result;
    }

    private int getClass(int c) {
        return sun.text.Normalizer.getCombiningClass(c);
    }

    /**
     * Attempts to compose input by combining the first character
     * with the first combining mark following it. Returns a String
     * that is the composition of the leading character with its first
     * combining mark followed by the remaining combining marks. Returns
     * null if the first two characters cannot be further composed.
     */
    private String composeOneStep(String input) {
        int len = countChars(input, 0, 2);
        String firstTwoCharacters = input.substring(0, len);
        String result = Normalizer.normalize(firstTwoCharacters, Normalizer.Form.NFC);

        if (result.equals(firstTwoCharacters))
            return null;
        else {
            String remainder = input.substring(len);
            return result + remainder;
        }
    }

    /**
     * Preprocess any \Q...\E sequences in `temp', meta-quoting them.
     * See the description of `quotemeta' in perlfunc(1).
     */
    private void RemoveQEQuoting() {
        final int pLen = patternLength;
        int i = 0;
        while (i < pLen-1) {
            if (temp[i] != '\\')
                i += 1;
            else if (temp[i + 1] != 'Q')
                i += 2;
            else
                break;
        }
        if (i >= pLen - 1)    // No \Q sequence found
            return;
        int j = i;
        i += 2;
        int[] newtemp = new int[j + 3*(pLen-i) + 2];
        System.arraycopy(temp, 0, newtemp, 0, j);

        boolean inQuote = true;
        boolean beginQuote = true;
        while (i < pLen) {
            int c = temp[i++];
            if (!ASCII.isAscii(c) || ASCII.isAlpha(c)) {
                newtemp[j++] = c;
            } else if (ASCII.isDigit(c)) {
                if (beginQuote) {
                    /*
                     * A unicode escape \[0xu] could be before this quote,
                     * and we don't want this numeric char to processed as
                     * part of the escape.
                     */
                    newtemp[j++] = '\\';
                    newtemp[j++] = 'x';
                    newtemp[j++] = '3';
                }
                newtemp[j++] = c;
            } else if (c != '\\') {
                if (inQuote) newtemp[j++] = '\\';
                newtemp[j++] = c;
            } else if (inQuote) {
                if (temp[i] == 'E') {
                    i++;
                    inQuote = false;
                } else {
                    newtemp[j++] = '\\';
                    newtemp[j++] = '\\';
                }
            } else {
                if (temp[i] == 'Q') {
                    i++;
                    inQuote = true;
                    beginQuote = true;
                    continue;
                } else {
                    newtemp[j++] = c;
                    if (i != pLen)
                        newtemp[j++] = temp[i++];
                }
            }

            beginQuote = false;
        }

        patternLength = j;
        temp = Arrays.copyOf(newtemp, j + 2); // double zero termination
    }

    /**
     * Copies regular expression to an int array and invokes the parsing
     * of the expression which will create the object tree.
     */
    private void compile() {
        // Handle canonical equivalences
        if (has(CANON_EQ) && !has(LITERAL)) {
            normalize();
        } else {
            normalizedPattern = pattern;
        }
        patternLength = normalizedPattern.length();

        // Copy pattern to int array for convenience
        // Use double zero to terminate pattern
        temp = new int[patternLength + 2];

        hasSupplementary = false;
        int c, count = 0;
        // Convert all chars into code points
        for (int x = 0; x < patternLength; x += Character.charCount(c)) {
            c = normalizedPattern.codePointAt(x);
            if (isSupplementary(c)) {
                hasSupplementary = true;
            }
            temp[count++] = c;
        }

        patternLength = count;   // patternLength now in code points

        if (! has(LITERAL))
            RemoveQEQuoting();

        // Allocate all temporary objects here.
        buffer = new int[32];
        groupNodes = new GroupHead[10];
        namedGroups = null;

        if (has(LITERAL)) {
            // Literal pattern handling
            matchRoot = newSlice(temp, patternLength, hasSupplementary);
            matchRoot.next = lastAccept;
        } else {
            // Start recursive descent parsing
            matchRoot = expr(lastAccept);
            // Check extra pattern characters
            if (patternLength != cursor) {
                if (peek() == ')') {
                    throw error("Unmatched closing ')'");
                } else {
                    throw error("Unexpected internal error");
                }
            }
        }

        // Peephole optimization
        if (matchRoot instanceof Slice) {
            root = BnM.optimize(matchRoot);
            if (root == matchRoot) {
                root = hasSupplementary ? new StartS(matchRoot) : new Start(matchRoot);
            }
        } else if (matchRoot instanceof Begin || matchRoot instanceof First) {
            root = matchRoot;
        } else {
            root = hasSupplementary ? new StartS(matchRoot) : new Start(matchRoot);
        }

        // Release temporary storage
        temp = null;
        buffer = null;
        groupNodes = null;
        patternLength = 0;
        compiled = true;
    }

    Map<String, Integer> namedGroups() {
        if (namedGroups == null)
            namedGroups = new HashMap<>(2);
        return namedGroups;
    }

    /**
     * Used to print out a subtree of the Pattern to help with debugging.
     */
    private static void printObjectTree(Node node) {
        while(node != null) {
            if (node instanceof Prolog) {
                System.out.println(node);
                printObjectTree(((Prolog)node).loop);
                System.out.println("**** end contents prolog loop");
            } else if (node instanceof Loop) {
                System.out.println(node);
                printObjectTree(((Loop)node).body);
                System.out.println("**** end contents Loop body");
            } else if (node instanceof Curly) {
                System.out.println(node);
                printObjectTree(((Curly)node).atom);
                System.out.println("**** end contents Curly body");
            } else if (node instanceof GroupCurly) {
                System.out.println(node);
                printObjectTree(((GroupCurly)node).atom);
                System.out.println("**** end contents GroupCurly body");
            } else if (node instanceof GroupTail) {
                System.out.println(node);
                System.out.println("Tail next is "+node.next);
                return;
            } else {
                System.out.println(node);
            }
            node = node.next;
            if (node != null)
                System.out.println("->next:");
            if (node == Pattern.accept) {
                System.out.println("Accept Node");
                node = null;
            }
       }
    }

    /**
     * Used to accumulate information about a subtree of the object graph
     * so that optimizations can be applied to the subtree.
     */
    static final class TreeInfo {
        int minLength;
        int maxLength;
        boolean maxValid;
        boolean deterministic;

        TreeInfo() {
            reset();
        }
        void reset() {
            minLength = 0;
            maxLength = 0;
            maxValid = true;
            deterministic = true;
        }
    }

    /*
     * The following private methods are mainly used to improve the
     * readability of the code. In order to let the Java compiler easily
     * inline them, we should not put many assertions or error checks in them.
     */

    /**
     * Indicates whether a particular flag is set or not.
     */
    private boolean has(int f) {
        return (flags & f) != 0;
    }

    /**
     * Match next character, signal error if failed.
     */
    private void accept(int ch, String s) {
        int testChar = temp[cursor++];
        if (has(COMMENTS))
            testChar = parsePastWhitespace(testChar);
        if (ch != testChar) {
            throw error(s);
        }
    }

    /**
     * Mark the end of pattern with a specific character.
     */
    private void mark(int c) {
        temp[patternLength] = c;
    }

    /**
     * Peek the next character, and do not advance the cursor.
     */
    private int peek() {
        int ch = temp[cursor];
        if (has(COMMENTS))
            ch = peekPastWhitespace(ch);
        return ch;
    }

    /**
     * Read the next character, and advance the cursor by one.
     */
    private int read() {
        int ch = temp[cursor++];
        if (has(COMMENTS))
            ch = parsePastWhitespace(ch);
        return ch;
    }

    /**
     * Read the next character, and advance the cursor by one,
     * ignoring the COMMENTS setting
     */
    private int readEscaped() {
        int ch = temp[cursor++];
        return ch;
    }

    /**
     * Advance the cursor by one, and peek the next character.
     */
    private int next() {
        int ch = temp[++cursor];
        if (has(COMMENTS))
            ch = peekPastWhitespace(ch);
        return ch;
    }

    /**
     * Advance the cursor by one, and peek the next character,
     * ignoring the COMMENTS setting
     */
    private int nextEscaped() {
        int ch = temp[++cursor];
        return ch;
    }

    /**
     * If in xmode peek past whitespace and comments.
     */
    private int peekPastWhitespace(int ch) {
        while (ASCII.isSpace(ch) || ch == '#') {
            while (ASCII.isSpace(ch))
                ch = temp[++cursor];
            if (ch == '#') {
                ch = peekPastLine();
            }
        }
        return ch;
    }

    /**
     * If in xmode parse past whitespace and comments.
     */
    private int parsePastWhitespace(int ch) {
        while (ASCII.isSpace(ch) || ch == '#') {
            while (ASCII.isSpace(ch))
                ch = temp[cursor++];
            if (ch == '#')
                ch = parsePastLine();
        }
        return ch;
    }

    /**
     * xmode parse past comment to end of line.
     */
    private int parsePastLine() {
        int ch = temp[cursor++];
        while (ch != 0 && !isLineSeparator(ch))
            ch = temp[cursor++];
        return ch;
    }

    /**
     * xmode peek past comment to end of line.
     */
    private int peekPastLine() {
        int ch = temp[++cursor];
        while (ch != 0 && !isLineSeparator(ch))
            ch = temp[++cursor];
        return ch;
    }

    /**
     * Determines if character is a line separator in the current mode
     */
    private boolean isLineSeparator(int ch) {
        if (has(UNIX_LINES)) {
            return ch == '\n';
        } else {
            return (ch == '\n' ||
                    ch == '\r' ||
                    (ch|1) == '\u2029' ||
                    ch == '\u0085');
        }
    }

    /**
     * Read the character after the next one, and advance the cursor by two.
     */
    private int skip() {
        int i = cursor;
        int ch = temp[i+1];
        cursor = i + 2;
        return ch;
    }

    /**
     * Unread one next character, and retreat cursor by one.
     */
    private void unread() {
        cursor--;
    }

    /**
     * Internal method used for handling all syntax errors. The pattern is
     * displayed with a pointer to aid in locating the syntax error.
     */
    private PatternSyntaxException error(String s) {
        return new PatternSyntaxException(s, normalizedPattern,  cursor - 1);
    }

    /**
     * Determines if there is any supplementary character or unpaired
     * surrogate in the specified range.
     */
    private boolean findSupplementary(int start, int end) {
        for (int i = start; i < end; i++) {
            if (isSupplementary(temp[i]))
                return true;
        }
        return false;
    }

    /**
     * Determines if the specified code point is a supplementary
     * character or unpaired surrogate.
     */
    private static final boolean isSupplementary(int ch) {
        return ch >= Character.MIN_SUPPLEMENTARY_CODE_POINT ||
               Character.isSurrogate((char)ch);
    }

    /**
     *  The following methods handle the main parsing. They are sorted
     *  according to their precedence order, the lowest one first.
     */

    /**
     * The expression is parsed with branch nodes added for alternations.
     * This may be called recursively to parse sub expressions that may
     * contain alternations.
     */
    private Node expr(Node end) {
        Node prev = null;
        Node firstTail = null;
        Branch branch = null;
        Node branchConn = null;

        for (;;) {
            Node node = sequence(end);
            Node nodeTail = root;      //double return
            if (prev == null) {
                prev = node;
                firstTail = nodeTail;
            } else {
                // Branch
                if (branchConn == null) {
                    branchConn = new BranchConn();
                    branchConn.next = end;
                }
                if (node == end) {
                    // if the node returned from sequence() is "end"
                    // we have an empty expr, set a null atom into
                    // the branch to indicate to go "next" directly.
                    node = null;
                } else {
                    // the "tail.next" of each atom goes to branchConn
                    nodeTail.next = branchConn;
                }
                if (prev == branch) {
                    branch.add(node);
                } else {
                    if (prev == end) {
                        prev = null;
                    } else {
                        // replace the "end" with "branchConn" at its tail.next
                        // when put the "prev" into the branch as the first atom.
                        firstTail.next = branchConn;
                    }
                    prev = branch = new Branch(prev, node, branchConn);
                }
            }
            if (peek() != '|') {
                return prev;
            }
            next();
        }
    }

    @SuppressWarnings("fallthrough")
    /**
     * Parsing of sequences between alternations.
     */
    private Node sequence(Node end) {
        Node head = null;
        Node tail = null;
        Node node = null;
    LOOP:
        for (;;) {
            int ch = peek();
            switch (ch) {
            case '(':
                // Because group handles its own closure,
                // we need to treat it differently
                node = group0();
                // Check for comment or flag group
                if (node == null)
                    continue;
                if (head == null)
                    head = node;
                else
                    tail.next = node;
                // Double return: Tail was returned in root
                tail = root;
                continue;
            case '[':
                node = clazz(true);
                break;
            case '\\':
                ch = nextEscaped();
                if (ch == 'p' || ch == 'P') {
                    boolean oneLetter = true;
                    boolean comp = (ch == 'P');
                    ch = next(); // Consume { if present
                    if (ch != '{') {
                        unread();
                    } else {
                        oneLetter = false;
                    }
                    node = family(oneLetter, comp);
                } else {
                    unread();
                    node = atom();
                }
                break;
            case '^':
                next();
                if (has(MULTILINE)) {
                    if (has(UNIX_LINES))
                        node = new UnixCaret();
                    else
                        node = new Caret();
                } else {
                    node = new Begin();
                }
                break;
            case '$':
                next();
                if (has(UNIX_LINES))
                    node = new UnixDollar(has(MULTILINE));
                else
                    node = new Dollar(has(MULTILINE));
                break;
            case '.':
                next();
                if (has(DOTALL)) {
                    node = new All();
                } else {
                    if (has(UNIX_LINES))
                        node = new UnixDot();
                    else {
                        node = new Dot();
                    }
                }
                break;
            case '|':
            case ')':
                break LOOP;
            case ']': // Now interpreting dangling ] and } as literals
            case '}':
                node = atom();
                break;
            case '?':
            case '*':
            case '+':
                next();
                throw error("Dangling meta character '" + ((char)ch) + "'");
            case 0:
                if (cursor >= patternLength) {
                    break LOOP;
                }
                // Fall through
            default:
                node = atom();
                break;
            }

            node = closure(node);

            if (head == null) {
                head = tail = node;
            } else {
                tail.next = node;
                tail = node;
            }
        }
        if (head == null) {
            return end;
        }
        tail.next = end;
        root = tail;      //double return
        return head;
    }

    @SuppressWarnings("fallthrough")
    /**
     * Parse and add a new Single or Slice.
     */
    private Node atom() {
        int first = 0;
        int prev = -1;
        boolean hasSupplementary = false;
        int ch = peek();
        for (;;) {
            switch (ch) {
            case '*':
            case '+':
            case '?':
            case '{':
                if (first > 1) {
                    cursor = prev;    // Unwind one character
                    first--;
                }
                break;
            case '$':
            case '.':
            case '^':
            case '(':
            case '[':
            case '|':
            case ')':
                break;
            case '\\':
                ch = nextEscaped();
                if (ch == 'p' || ch == 'P') { // Property
                    if (first > 0) { // Slice is waiting; handle it first
                        unread();
                        break;
                    } else { // No slice; just return the family node
                        boolean comp = (ch == 'P');
                        boolean oneLetter = true;
                        ch = next(); // Consume { if present
                        if (ch != '{')
                            unread();
                        else
                            oneLetter = false;
                        return family(oneLetter, comp);
                    }
                }
                unread();
                prev = cursor;
                ch = escape(false, first == 0, false);
                if (ch >= 0) {
                    append(ch, first);
                    first++;
                    if (isSupplementary(ch)) {
                        hasSupplementary = true;
                    }
                    ch = peek();
                    continue;
                } else if (first == 0) {
                    return root;
                }
                // Unwind meta escape sequence
                cursor = prev;
                break;
            case 0:
                if (cursor >= patternLength) {
                    break;
                }
                // Fall through
            default:
                prev = cursor;
                append(ch, first);
                first++;
                if (isSupplementary(ch)) {
                    hasSupplementary = true;
                }
                ch = next();
                continue;
            }
            break;
        }
        if (first == 1) {
            return newSingle(buffer[0]);
        } else {
            return newSlice(buffer, first, hasSupplementary);
        }
    }

    private void append(int ch, int len) {
        if (len >= buffer.length) {
            int[] tmp = new int[len+len];
            System.arraycopy(buffer, 0, tmp, 0, len);
            buffer = tmp;
        }
        buffer[len] = ch;
    }

    /**
     * Parses a backref greedily, taking as many numbers as it
     * can. The first digit is always treated as a backref, but
     * multi digit numbers are only treated as a backref if at
     * least that many backrefs exist at this point in the regex.
     */
    private Node ref(int refNum) {
        boolean done = false;
        while(!done) {
            int ch = peek();
            switch(ch) {
            case '0':
            case '1':
            case '2':
            case '3':
            case '4':
            case '5':
            case '6':
            case '7':
            case '8':
            case '9':
                int newRefNum = (refNum * 10) + (ch - '0');
                // Add another number if it doesn't make a group
                // that doesn't exist
                if (capturingGroupCount - 1 < newRefNum) {
                    done = true;
                    break;
                }
                refNum = newRefNum;
                read();
                break;
            default:
                done = true;
                break;
            }
        }
        if (has(CASE_INSENSITIVE))
            return new CIBackRef(refNum, has(UNICODE_CASE));
        else
            return new BackRef(refNum);
    }

    /**
     * Parses an escape sequence to determine the actual value that needs
     * to be matched.
     * If -1 is returned and create was true a new object was added to the tree
     * to handle the escape sequence.
     * If the returned value is greater than zero, it is the value that
     * matches the escape sequence.
     */
    private int escape(boolean inclass, boolean create, boolean isrange) {
        int ch = skip();
        switch (ch) {
        case '0':
            return o();
        case '1':
        case '2':
        case '3':
        case '4':
        case '5':
        case '6':
        case '7':
        case '8':
        case '9':
            if (inclass) break;
            if (create) {
                root = ref((ch - '0'));
            }
            return -1;
        case 'A':
            if (inclass) break;
            if (create) root = new Begin();
            return -1;
        case 'B':
            if (inclass) break;
            if (create) root = new Bound(Bound.NONE, has(UNICODE_CHARACTER_CLASS));
            return -1;
        case 'C':
            break;
        case 'D':
            if (create) root = has(UNICODE_CHARACTER_CLASS)
                               ? new Utype(UnicodeProp.DIGIT).complement()
                               : new Ctype(ASCII.DIGIT).complement();
            return -1;
        case 'E':
        case 'F':
            break;
        case 'G':
            if (inclass) break;
            if (create) root = new LastMatch();
            return -1;
        case 'H':
            if (create) root = new HorizWS().complement();
            return -1;
        case 'I':
        case 'J':
        case 'K':
        case 'L':
        case 'M':
        case 'N':
        case 'O':
        case 'P':
        case 'Q':
            break;
        case 'R':
            if (inclass) break;
            if (create) root = new LineEnding();
            return -1;
        case 'S':
            if (create) root = has(UNICODE_CHARACTER_CLASS)
                               ? new Utype(UnicodeProp.WHITE_SPACE).complement()
                               : new Ctype(ASCII.SPACE).complement();
            return -1;
        case 'T':
        case 'U':
            break;
        case 'V':
            if (create) root = new VertWS().complement();
            return -1;
        case 'W':
            if (create) root = has(UNICODE_CHARACTER_CLASS)
                               ? new Utype(UnicodeProp.WORD).complement()
                               : new Ctype(ASCII.WORD).complement();
            return -1;
        case 'X':
        case 'Y':
            break;
        case 'Z':
            if (inclass) break;
            if (create) {
                if (has(UNIX_LINES))
                    root = new UnixDollar(false);
                else
                    root = new Dollar(false);
            }
            return -1;
        case 'a':
            return '\007';
        case 'b':
            if (inclass) break;
            if (create) root = new Bound(Bound.BOTH, has(UNICODE_CHARACTER_CLASS));
            return -1;
        case 'c':
            return c();
        case 'd':
            if (create) root = has(UNICODE_CHARACTER_CLASS)
                               ? new Utype(UnicodeProp.DIGIT)
                               : new Ctype(ASCII.DIGIT);
            return -1;
        case 'e':
            return '\033';
        case 'f':
            return '\f';
        case 'g':
            break;
        case 'h':
            if (create) root = new HorizWS();
            return -1;
        case 'i':
        case 'j':
            break;
        case 'k':
            if (inclass)
                break;
            if (read() != '<')
                throw error("\\k is not followed by '<' for named capturing group");
            String name = groupname(read());
            if (!namedGroups().containsKey(name))
                throw error("(named capturing group <"+ name+"> does not exit");
            if (create) {
                if (has(CASE_INSENSITIVE))
                    root = new CIBackRef(namedGroups().get(name), has(UNICODE_CASE));
                else
                    root = new BackRef(namedGroups().get(name));
            }
            return -1;
        case 'l':
        case 'm':
            break;
        case 'n':
            return '\n';
        case 'o':
        case 'p':
        case 'q':
            break;
        case 'r':
            return '\r';
        case 's':
            if (create) root = has(UNICODE_CHARACTER_CLASS)
                               ? new Utype(UnicodeProp.WHITE_SPACE)
                               : new Ctype(ASCII.SPACE);
            return -1;
        case 't':
            return '\t';
        case 'u':
            return u();
        case 'v':
            // '\v' was implemented as VT/0x0B in releases < 1.8 (though
            // undocumented). In JDK8 '\v' is specified as a predefined
            // character class for all vertical whitespace characters.
            // So [-1, root=VertWS node] pair is returned (instead of a
            // single 0x0B). This breaks the range if '\v' is used as
            // the start or end value, such as [\v-...] or [...-\v], in
            // which a single definite value (0x0B) is expected. For
            // compatibility concern '\013'/0x0B is returned if isrange.
            if (isrange)
                return '\013';
            if (create) root = new VertWS();
            return -1;
        case 'w':
            if (create) root = has(UNICODE_CHARACTER_CLASS)
                               ? new Utype(UnicodeProp.WORD)
                               : new Ctype(ASCII.WORD);
            return -1;
        case 'x':
            return x();
        case 'y':
            break;
        case 'z':
            if (inclass) break;
            if (create) root = new End();
            return -1;
        default:
            return ch;
        }
        throw error("Illegal/unsupported escape sequence");
    }

    /**
     * Parse a character class, and return the node that matches it.
     *
     * Consumes a ] on the way out if consume is true. Usually consume
     * is true except for the case of [abc&&def] where def is a separate
     * right hand node with "understood" brackets.
     */
    private CharProperty clazz(boolean consume) {
        CharProperty prev = null;
        CharProperty node = null;
        BitClass bits = new BitClass();
        boolean include = true;
        boolean firstInClass = true;
        int ch = next();
        for (;;) {
            switch (ch) {
                case '^':
                    // Negates if first char in a class, otherwise literal
                    if (firstInClass) {
                        if (temp[cursor-1] != '[')
                            break;
                        ch = next();
                        include = !include;
                        continue;
                    } else {
                        // ^ not first in class, treat as literal
                        break;
                    }
                case '[':
                    firstInClass = false;
                    node = clazz(true);
                    if (prev == null)
                        prev = node;
                    else
                        prev = union(prev, node);
                    ch = peek();
                    continue;
                case '&':
                    firstInClass = false;
                    ch = next();
                    if (ch == '&') {
                        ch = next();
                        CharProperty rightNode = null;
                        while (ch != ']' && ch != '&') {
                            if (ch == '[') {
                                if (rightNode == null)
                                    rightNode = clazz(true);
                                else
                                    rightNode = union(rightNode, clazz(true));
                            } else { // abc&&def
                                unread();
                                rightNode = clazz(false);
                            }
                            ch = peek();
                        }
                        if (rightNode != null)
                            node = rightNode;
                        if (prev == null) {
                            if (rightNode == null)
                                throw error("Bad class syntax");
                            else
                                prev = rightNode;
                        } else {
                            prev = intersection(prev, node);
                        }
                    } else {
                        // treat as a literal &
                        unread();
                        break;
                    }
                    continue;
                case 0:
                    firstInClass = false;
                    if (cursor >= patternLength)
                        throw error("Unclosed character class");
                    break;
                case ']':
                    firstInClass = false;
                    if (prev != null) {
                        if (consume)
                            next();
                        return prev;
                    }
                    break;
                default:
                    firstInClass = false;
                    break;
            }
            node = range(bits);
            if (include) {
                if (prev == null) {
                    prev = node;
                } else {
                    if (prev != node)
                        prev = union(prev, node);
                }
            } else {
                if (prev == null) {
                    prev = node.complement();
                } else {
                    if (prev != node)
                        prev = setDifference(prev, node);
                }
            }
            ch = peek();
        }
    }

    private CharProperty bitsOrSingle(BitClass bits, int ch) {
        /* Bits can only handle codepoints in [u+0000-u+00ff] range.
           Use "single" node instead of bits when dealing with unicode
           case folding for codepoints listed below.
           (1)Uppercase out of range: u+00ff, u+00b5
              toUpperCase(u+00ff) -> u+0178
              toUpperCase(u+00b5) -> u+039c
           (2)LatinSmallLetterLongS u+17f
              toUpperCase(u+017f) -> u+0053
           (3)LatinSmallLetterDotlessI u+131
              toUpperCase(u+0131) -> u+0049
           (4)LatinCapitalLetterIWithDotAbove u+0130
              toLowerCase(u+0130) -> u+0069
           (5)KelvinSign u+212a
              toLowerCase(u+212a) ==> u+006B
           (6)AngstromSign u+212b
              toLowerCase(u+212b) ==> u+00e5
        */
        int d;
        if (ch < 256 &&
            !(has(CASE_INSENSITIVE) && has(UNICODE_CASE) &&
              (ch == 0xff || ch == 0xb5 ||
               ch == 0x49 || ch == 0x69 ||  //I and i
               ch == 0x53 || ch == 0x73 ||  //S and s
               ch == 0x4b || ch == 0x6b ||  //K and k
               ch == 0xc5 || ch == 0xe5)))  //A+ring
            return bits.add(ch, flags());
        return newSingle(ch);
    }

    /**
     * Parse a single character or a character range in a character class
     * and return its representative node.
     */
    private CharProperty range(BitClass bits) {
        int ch = peek();
        if (ch == '\\') {
            ch = nextEscaped();
            if (ch == 'p' || ch == 'P') { // A property
                boolean comp = (ch == 'P');
                boolean oneLetter = true;
                // Consume { if present
                ch = next();
                if (ch != '{')
                    unread();
                else
                    oneLetter = false;
                return family(oneLetter, comp);
            } else { // ordinary escape
                boolean isrange = temp[cursor+1] == '-';
                unread();
                ch = escape(true, true, isrange);
                if (ch == -1)
                    return (CharProperty) root;
            }
        } else {
            next();
        }
        if (ch >= 0) {
            if (peek() == '-') {
                int endRange = temp[cursor+1];
                if (endRange == '[') {
                    return bitsOrSingle(bits, ch);
                }
                if (endRange != ']') {
                    next();
                    int m = peek();
                    if (m == '\\') {
                        m = escape(true, false, true);
                    } else {
                        next();
                    }
                    if (m < ch) {
                        throw error("Illegal character range");
                    }
                    if (has(CASE_INSENSITIVE))
                        return caseInsensitiveRangeFor(ch, m);
                    else
                        return rangeFor(ch, m);
                }
            }
            return bitsOrSingle(bits, ch);
        }
        throw error("Unexpected character '"+((char)ch)+"'");
    }

    /**
     * Parses a Unicode character family and returns its representative node.
     */
    private CharProperty family(boolean singleLetter,
                                boolean maybeComplement)
    {
        next();
        String name;
        CharProperty node = null;

        if (singleLetter) {
            int c = temp[cursor];
            if (!Character.isSupplementaryCodePoint(c)) {
                name = String.valueOf((char)c);
            } else {
                name = new String(temp, cursor, 1);
            }
            read();
        } else {
            int i = cursor;
            mark('}');
            while(read() != '}') {
            }
            mark('\000');
            int j = cursor;
            if (j > patternLength)
                throw error("Unclosed character family");
            if (i + 1 >= j)
                throw error("Empty character family");
            name = new String(temp, i, j-i-1);
        }

        int i = name.indexOf('=');
        if (i != -1) {
            // property construct \p{name=value}
            String value = name.substring(i + 1);
            name = name.substring(0, i).toLowerCase(Locale.ENGLISH);
            if ("sc".equals(name) || "script".equals(name)) {
                node = unicodeScriptPropertyFor(value);
            } else if ("blk".equals(name) || "block".equals(name)) {
                node = unicodeBlockPropertyFor(value);
            } else if ("gc".equals(name) || "general_category".equals(name)) {
                node = charPropertyNodeFor(value);
            } else {
                throw error("Unknown Unicode property {name=<" + name + ">, "
                             + "value=<" + value + ">}");
            }
        } else {
            if (name.startsWith("In")) {
                // \p{inBlockName}
                node = unicodeBlockPropertyFor(name.substring(2));
            } else if (name.startsWith("Is")) {
                // \p{isGeneralCategory} and \p{isScriptName}
                name = name.substring(2);
                UnicodeProp uprop = UnicodeProp.forName(name);
                if (uprop != null)
                    node = new Utype(uprop);
                if (node == null)
                    node = CharPropertyNames.charPropertyFor(name);
                if (node == null)
                    node = unicodeScriptPropertyFor(name);
            } else {
                if (has(UNICODE_CHARACTER_CLASS)) {
                    UnicodeProp uprop = UnicodeProp.forPOSIXName(name);
                    if (uprop != null)
                        node = new Utype(uprop);
                }
                if (node == null)
                    node = charPropertyNodeFor(name);
            }
        }
        if (maybeComplement) {
            if (node instanceof Category || node instanceof Block)
                hasSupplementary = true;
            node = node.complement();
        }
        return node;
    }


    /**
     * Returns a CharProperty matching all characters belong to
     * a UnicodeScript.
     */
    private CharProperty unicodeScriptPropertyFor(String name) {
        final Character.UnicodeScript script;
        try {
            script = Character.UnicodeScript.forName(name);
        } catch (IllegalArgumentException iae) {
            throw error("Unknown character script name {" + name + "}");
        }
        return new Script(script);
    }

    /**
     * Returns a CharProperty matching all characters in a UnicodeBlock.
     */
    private CharProperty unicodeBlockPropertyFor(String name) {
        final Character.UnicodeBlock block;
        try {
            block = Character.UnicodeBlock.forName(name);
        } catch (IllegalArgumentException iae) {
            throw error("Unknown character block name {" + name + "}");
        }
        return new Block(block);
    }

    /**
     * Returns a CharProperty matching all characters in a named property.
     */
    private CharProperty charPropertyNodeFor(String name) {
        CharProperty p = CharPropertyNames.charPropertyFor(name);
        if (p == null)
            throw error("Unknown character property name {" + name + "}");
        return p;
    }

    /**
     * Parses and returns the name of a "named capturing group", the trailing
     * ">" is consumed after parsing.
     */
    private String groupname(int ch) {
        StringBuilder sb = new StringBuilder();
        sb.append(Character.toChars(ch));
        while (ASCII.isLower(ch=read()) || ASCII.isUpper(ch) ||
               ASCII.isDigit(ch)) {
            sb.append(Character.toChars(ch));
        }
        if (sb.length() == 0)
            throw error("named capturing group has 0 length name");
        if (ch != '>')
            throw error("named capturing group is missing trailing '>'");
        return sb.toString();
    }

    /**
     * Parses a group and returns the head node of a set of nodes that process
     * the group. Sometimes a double return system is used where the tail is
     * returned in root.
     */
    private Node group0() {
        boolean capturingGroup = false;
        Node head = null;
        Node tail = null;
        int save = flags;
        root = null;
        int ch = next();
        if (ch == '?') {
            ch = skip();
            switch (ch) {
            case ':':   //  (?:xxx) pure group
                head = createGroup(true);
                tail = root;
                head.next = expr(tail);
                break;
            case '=':   // (?=xxx) and (?!xxx) lookahead
            case '!':
                head = createGroup(true);
                tail = root;
                head.next = expr(tail);
                if (ch == '=') {
                    head = tail = new Pos(head);
                } else {
                    head = tail = new Neg(head);
                }
                break;
            case '>':   // (?>xxx)  independent group
                head = createGroup(true);
                tail = root;
                head.next = expr(tail);
                head = tail = new Ques(head, INDEPENDENT);
                break;
            case '<':   // (?<xxx)  look behind
                ch = read();
                if (ASCII.isLower(ch) || ASCII.isUpper(ch)) {
                    // named captured group
                    String name = groupname(ch);
                    if (namedGroups().containsKey(name))
                        throw error("Named capturing group <" + name
                                    + "> is already defined");
                    capturingGroup = true;
                    head = createGroup(false);
                    tail = root;
                    namedGroups().put(name, capturingGroupCount-1);
                    head.next = expr(tail);
                    break;
                }
                int start = cursor;
                head = createGroup(true);
                tail = root;
                head.next = expr(tail);
                tail.next = lookbehindEnd;
                TreeInfo info = new TreeInfo();
                head.study(info);
                if (info.maxValid == false) {
                    throw error("Look-behind group does not have "
                                + "an obvious maximum length");
                }
                boolean hasSupplementary = findSupplementary(start, patternLength);
                if (ch == '=') {
                    head = tail = (hasSupplementary ?
                                   new BehindS(head, info.maxLength,
                                               info.minLength) :
                                   new Behind(head, info.maxLength,
                                              info.minLength));
                } else if (ch == '!') {
                    head = tail = (hasSupplementary ?
                                   new NotBehindS(head, info.maxLength,
                                                  info.minLength) :
                                   new NotBehind(head, info.maxLength,
                                                 info.minLength));
                } else {
                    throw error("Unknown look-behind group");
                }
                break;
            case '$':
            case '@':
                throw error("Unknown group type");
            default:    // (?xxx:) inlined match flags
                unread();
                addFlag();
                ch = read();
                if (ch == ')') {
                    return null;    // Inline modifier only
                }
                if (ch != ':') {
                    throw error("Unknown inline modifier");
                }
                head = createGroup(true);
                tail = root;
                head.next = expr(tail);
                break;
            }
        } else { // (xxx) a regular group
            capturingGroup = true;
            head = createGroup(false);
            tail = root;
            head.next = expr(tail);
        }

        accept(')', "Unclosed group");
        flags = save;

        // Check for quantifiers
        Node node = closure(head);
        if (node == head) { // No closure
            root = tail;
            return node;    // Dual return
        }
        if (head == tail) { // Zero length assertion
            root = node;
            return node;    // Dual return
        }

        if (node instanceof Ques) {
            Ques ques = (Ques) node;
            if (ques.type == POSSESSIVE) {
                root = node;
                return node;
            }
            tail.next = new BranchConn();
            tail = tail.next;
            if (ques.type == GREEDY) {
                head = new Branch(head, null, tail);
            } else { // Reluctant quantifier
                head = new Branch(null, head, tail);
            }
            root = tail;
            return head;
        } else if (node instanceof Curly) {
            Curly curly = (Curly) node;
            if (curly.type == POSSESSIVE) {
                root = node;
                return node;
            }
            // Discover if the group is deterministic
            TreeInfo info = new TreeInfo();
            if (head.study(info)) { // Deterministic
                GroupTail temp = (GroupTail) tail;
                head = root = new GroupCurly(head.next, curly.cmin,
                                   curly.cmax, curly.type,
                                   ((GroupTail)tail).localIndex,
                                   ((GroupTail)tail).groupIndex,
                                             capturingGroup);
                return head;
            } else { // Non-deterministic
                int temp = ((GroupHead) head).localIndex;
                Loop loop;
                if (curly.type == GREEDY)
                    loop = new Loop(this.localCount, temp);
                else  // Reluctant Curly
                    loop = new LazyLoop(this.localCount, temp);
                Prolog prolog = new Prolog(loop);
                this.localCount += 1;
                loop.cmin = curly.cmin;
                loop.cmax = curly.cmax;
                loop.body = head;
                tail.next = loop;
                root = loop;
                return prolog; // Dual return
            }
        }
        throw error("Internal logic error");
    }

    /**
     * Create group head and tail nodes using double return. If the group is
     * created with anonymous true then it is a pure group and should not
     * affect group counting.
     */
    private Node createGroup(boolean anonymous) {
        int localIndex = localCount++;
        int groupIndex = 0;
        if (!anonymous)
            groupIndex = capturingGroupCount++;
        GroupHead head = new GroupHead(localIndex);
        root = new GroupTail(localIndex, groupIndex);
        if (!anonymous && groupIndex < 10)
            groupNodes[groupIndex] = head;
        return head;
    }

    @SuppressWarnings("fallthrough")
    /**
     * Parses inlined match flags and set them appropriately.
     */
    private void addFlag() {
        int ch = peek();
        for (;;) {
            switch (ch) {
            case 'i':
                flags |= CASE_INSENSITIVE;
                break;
            case 'm':
                flags |= MULTILINE;
                break;
            case 's':
                flags |= DOTALL;
                break;
            case 'd':
                flags |= UNIX_LINES;
                break;
            case 'u':
                flags |= UNICODE_CASE;
                break;
            case 'c':
                flags |= CANON_EQ;
                break;
            case 'x':
                flags |= COMMENTS;
                break;
            case 'U':
                flags |= (UNICODE_CHARACTER_CLASS | UNICODE_CASE);
                break;
            case '-': // subFlag then fall through
                ch = next();
                subFlag();
            default:
                return;
            }
            ch = next();
        }
    }

    @SuppressWarnings("fallthrough")
    /**
     * Parses the second part of inlined match flags and turns off
     * flags appropriately.
     */
    private void subFlag() {
        int ch = peek();
        for (;;) {
            switch (ch) {
            case 'i':
                flags &= ~CASE_INSENSITIVE;
                break;
            case 'm':
                flags &= ~MULTILINE;
                break;
            case 's':
                flags &= ~DOTALL;
                break;
            case 'd':
                flags &= ~UNIX_LINES;
                break;
            case 'u':
                flags &= ~UNICODE_CASE;
                break;
            case 'c':
                flags &= ~CANON_EQ;
                break;
            case 'x':
                flags &= ~COMMENTS;
                break;
            case 'U':
                flags &= ~(UNICODE_CHARACTER_CLASS | UNICODE_CASE);
            default:
                return;
            }
            ch = next();
        }
    }

    static final int MAX_REPS   = 0x7FFFFFFF;

    static final int GREEDY     = 0;

    static final int LAZY       = 1;

    static final int POSSESSIVE = 2;

    static final int INDEPENDENT = 3;

    /**
     * Processes repetition. If the next character peeked is a quantifier
     * then new nodes must be appended to handle the repetition.
     * Prev could be a single or a group, so it could be a chain of nodes.
     */
    private Node closure(Node prev) {
        Node atom;
        int ch = peek();
        switch (ch) {
        case '?':
            ch = next();
            if (ch == '?') {
                next();
                return new Ques(prev, LAZY);
            } else if (ch == '+') {
                next();
                return new Ques(prev, POSSESSIVE);
            }
            return new Ques(prev, GREEDY);
        case '*':
            ch = next();
            if (ch == '?') {
                next();
                return new Curly(prev, 0, MAX_REPS, LAZY);
            } else if (ch == '+') {
                next();
                return new Curly(prev, 0, MAX_REPS, POSSESSIVE);
            }
            return new Curly(prev, 0, MAX_REPS, GREEDY);
        case '+':
            ch = next();
            if (ch == '?') {
                next();
                return new Curly(prev, 1, MAX_REPS, LAZY);
            } else if (ch == '+') {
                next();
                return new Curly(prev, 1, MAX_REPS, POSSESSIVE);
            }
            return new Curly(prev, 1, MAX_REPS, GREEDY);
        case '{':
            ch = temp[cursor+1];
            if (ASCII.isDigit(ch)) {
                skip();
                int cmin = 0;
                do {
                    cmin = cmin * 10 + (ch - '0');
                } while (ASCII.isDigit(ch = read()));
                int cmax = cmin;
                if (ch == ',') {
                    ch = read();
                    cmax = MAX_REPS;
                    if (ch != '}') {
                        cmax = 0;
                        while (ASCII.isDigit(ch)) {
                            cmax = cmax * 10 + (ch - '0');
                            ch = read();
                        }
                    }
                }
                if (ch != '}')
                    throw error("Unclosed counted closure");
                if (((cmin) | (cmax) | (cmax - cmin)) < 0)
                    throw error("Illegal repetition range");
                Curly curly;
                ch = peek();
                if (ch == '?') {
                    next();
                    curly = new Curly(prev, cmin, cmax, LAZY);
                } else if (ch == '+') {
                    next();
                    curly = new Curly(prev, cmin, cmax, POSSESSIVE);
                } else {
                    curly = new Curly(prev, cmin, cmax, GREEDY);
                }
                return curly;
            } else {
                throw error("Illegal repetition");
            }
        default:
            return prev;
        }
    }

    /**
     *  Utility method for parsing control escape sequences.
     */
    private int c() {
        if (cursor < patternLength) {
            return read() ^ 64;
        }
        throw error("Illegal control escape sequence");
    }

    /**
     *  Utility method for parsing octal escape sequences.
     */
    private int o() {
        int n = read();
        if (((n-'0')|('7'-n)) >= 0) {
            int m = read();
            if (((m-'0')|('7'-m)) >= 0) {
                int o = read();
                if ((((o-'0')|('7'-o)) >= 0) && (((n-'0')|('3'-n)) >= 0)) {
                    return (n - '0') * 64 + (m - '0') * 8 + (o - '0');
                }
                unread();
                return (n - '0') * 8 + (m - '0');
            }
            unread();
            return (n - '0');
        }
        throw error("Illegal octal escape sequence");
    }

    /**
     *  Utility method for parsing hexadecimal escape sequences.
     */
    private int x() {
        int n = read();
        if (ASCII.isHexDigit(n)) {
            int m = read();
            if (ASCII.isHexDigit(m)) {
                return ASCII.toDigit(n) * 16 + ASCII.toDigit(m);
            }
        } else if (n == '{' && ASCII.isHexDigit(peek())) {
            int ch = 0;
            while (ASCII.isHexDigit(n = read())) {
                ch = (ch << 4) + ASCII.toDigit(n);
                if (ch > Character.MAX_CODE_POINT)
                    throw error("Hexadecimal codepoint is too big");
            }
            if (n != '}')
                throw error("Unclosed hexadecimal escape sequence");
            return ch;
        }
        throw error("Illegal hexadecimal escape sequence");
    }

    /**
     *  Utility method for parsing unicode escape sequences.
     */
    private int cursor() {
        return cursor;
    }

    private void setcursor(int pos) {
        cursor = pos;
    }

    private int uxxxx() {
        int n = 0;
        for (int i = 0; i < 4; i++) {
            int ch = read();
            if (!ASCII.isHexDigit(ch)) {
                throw error("Illegal Unicode escape sequence");
            }
            n = n * 16 + ASCII.toDigit(ch);
        }
        return n;
    }

    private int u() {
        int n = uxxxx();
        if (Character.isHighSurrogate((char)n)) {
            int cur = cursor();
            if (read() == '\\' && read() == 'u') {
                int n2 = uxxxx();
                if (Character.isLowSurrogate((char)n2))
                    return Character.toCodePoint((char)n, (char)n2);
            }
            setcursor(cur);
        }
        return n;
    }

    //
    // Utility methods for code point support
    //

    private static final int countChars(CharSequence seq, int index,
                                        int lengthInCodePoints) {
        // optimization
        if (lengthInCodePoints == 1 && !Character.isHighSurrogate(seq.charAt(index))) {
            assert (index >= 0 && index < seq.length());
            return 1;
        }
        int length = seq.length();
        int x = index;
        if (lengthInCodePoints >= 0) {
            assert (index >= 0 && index < length);
            for (int i = 0; x < length && i < lengthInCodePoints; i++) {
                if (Character.isHighSurrogate(seq.charAt(x++))) {
                    if (x < length && Character.isLowSurrogate(seq.charAt(x))) {
                        x++;
                    }
                }
            }
            return x - index;
        }

        assert (index >= 0 && index <= length);
        if (index == 0) {
            return 0;
        }
        int len = -lengthInCodePoints;
        for (int i = 0; x > 0 && i < len; i++) {
            if (Character.isLowSurrogate(seq.charAt(--x))) {
                if (x > 0 && Character.isHighSurrogate(seq.charAt(x-1))) {
                    x--;
                }
            }
        }
        return index - x;
    }

    private static final int countCodePoints(CharSequence seq) {
        int length = seq.length();
        int n = 0;
        for (int i = 0; i < length; ) {
            n++;
            if (Character.isHighSurrogate(seq.charAt(i++))) {
                if (i < length && Character.isLowSurrogate(seq.charAt(i))) {
                    i++;
                }
            }
        }
        return n;
    }

    /**
     *  Creates a bit vector for matching Latin-1 values. A normal BitClass
     *  never matches values above Latin-1, and a complemented BitClass always
     *  matches values above Latin-1.
     */
    private static final class BitClass extends BmpCharProperty {
        final boolean[] bits;
        BitClass() { bits = new boolean[256]; }
        private BitClass(boolean[] bits) { this.bits = bits; }
        BitClass add(int c, int flags) {
            assert c >= 0 && c <= 255;
            if ((flags & CASE_INSENSITIVE) != 0) {
                if (ASCII.isAscii(c)) {
                    bits[ASCII.toUpper(c)] = true;
                    bits[ASCII.toLower(c)] = true;
                } else if ((flags & UNICODE_CASE) != 0) {
                    bits[Character.toLowerCase(c)] = true;
                    bits[Character.toUpperCase(c)] = true;
                }
            }
            bits[c] = true;
            return this;
        }
        boolean isSatisfiedBy(int ch) {
            return ch < 256 && bits[ch];
        }
    }

    /**
     *  Returns a suitably optimized, single character matcher.
     */
    private CharProperty newSingle(final int ch) {
        if (has(CASE_INSENSITIVE)) {
            int lower, upper;
            if (has(UNICODE_CASE)) {
                upper = Character.toUpperCase(ch);
                lower = Character.toLowerCase(upper);
                if (upper != lower)
                    return new SingleU(lower);
            } else if (ASCII.isAscii(ch)) {
                lower = ASCII.toLower(ch);
                upper = ASCII.toUpper(ch);
                if (lower != upper)
                    return new SingleI(lower, upper);
            }
        }
        if (isSupplementary(ch))
            return new SingleS(ch);    // Match a given Unicode character
        return new Single(ch);         // Match a given BMP character
    }

    /**
     *  Utility method for creating a string slice matcher.
     */
    private Node newSlice(int[] buf, int count, boolean hasSupplementary) {
        int[] tmp = new int[count];
        if (has(CASE_INSENSITIVE)) {
            if (has(UNICODE_CASE)) {
                for (int i = 0; i < count; i++) {
                    tmp[i] = Character.toLowerCase(
                                 Character.toUpperCase(buf[i]));
                }
                return hasSupplementary? new SliceUS(tmp) : new SliceU(tmp);
            }
            for (int i = 0; i < count; i++) {
                tmp[i] = ASCII.toLower(buf[i]);
            }
            return hasSupplementary? new SliceIS(tmp) : new SliceI(tmp);
        }
        for (int i = 0; i < count; i++) {
            tmp[i] = buf[i];
        }
        return hasSupplementary ? new SliceS(tmp) : new Slice(tmp);
    }

    /**
     * The following classes are the building components of the object
     * tree that represents a compiled regular expression. The object tree
     * is made of individual elements that handle constructs in the Pattern.
     * Each type of object knows how to match its equivalent construct with
     * the match() method.
     */

    /**
     * Base class for all node classes. Subclasses should override the match()
     * method as appropriate. This class is an accepting node, so its match()
     * always returns true.
     */
    static class Node extends Object {
        Node next;
        Node() {
            next = Pattern.accept;
        }
        /**
         * This method implements the classic accept node.
         */
        boolean match(Matcher matcher, int i, CharSequence seq) {
            matcher.last = i;
            matcher.groups[0] = matcher.first;
            matcher.groups[1] = matcher.last;
            return true;
        }
        /**
         * This method is good for all zero length assertions.
         */
        boolean study(TreeInfo info) {
            if (next != null) {
                return next.study(info);
            } else {
                return info.deterministic;
            }
        }
    }

    static class LastNode extends Node {
        /**
         * This method implements the classic accept node with
         * the addition of a check to see if the match occurred
         * using all of the input.
         */
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (matcher.acceptMode == Matcher.ENDANCHOR && i != matcher.to)
                return false;
            matcher.last = i;
            matcher.groups[0] = matcher.first;
            matcher.groups[1] = matcher.last;
            return true;
        }
    }

    /**
     * Used for REs that can start anywhere within the input string.
     * This basically tries to match repeatedly at each spot in the
     * input string, moving forward after each try. An anchored search
     * or a BnM will bypass this node completely.
     */
    static class Start extends Node {
        int minLength;
        Start(Node node) {
            this.next = node;
            TreeInfo info = new TreeInfo();
            next.study(info);
            minLength = info.minLength;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (i > matcher.to - minLength) {
                matcher.hitEnd = true;
                return false;
            }
            int guard = matcher.to - minLength;
            for (; i <= guard; i++) {
                if (next.match(matcher, i, seq)) {
                    matcher.first = i;
                    matcher.groups[0] = matcher.first;
                    matcher.groups[1] = matcher.last;
                    return true;
                }
            }
            matcher.hitEnd = true;
            return false;
        }
        boolean study(TreeInfo info) {
            next.study(info);
            info.maxValid = false;
            info.deterministic = false;
            return false;
        }
    }

    /*
     * StartS supports supplementary characters, including unpaired surrogates.
     */
    static final class StartS extends Start {
        StartS(Node node) {
            super(node);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (i > matcher.to - minLength) {
                matcher.hitEnd = true;
                return false;
            }
            int guard = matcher.to - minLength;
            while (i <= guard) {
                //if ((ret = next.match(matcher, i, seq)) || i == guard)
                if (next.match(matcher, i, seq)) {
                    matcher.first = i;
                    matcher.groups[0] = matcher.first;
                    matcher.groups[1] = matcher.last;
                    return true;
                }
                if (i == guard)
                    break;
                // Optimization to move to the next character. This is
                // faster than countChars(seq, i, 1).
                if (Character.isHighSurrogate(seq.charAt(i++))) {
                    if (i < seq.length() &&
                        Character.isLowSurrogate(seq.charAt(i))) {
                        i++;
                    }
                }
            }
            matcher.hitEnd = true;
            return false;
        }
    }

    /**
     * Node to anchor at the beginning of input. This object implements the
     * match for a \A sequence, and the caret anchor will use this if not in
     * multiline mode.
     */
    static final class Begin extends Node {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int fromIndex = (matcher.anchoringBounds) ?
                matcher.from : 0;
            if (i == fromIndex && next.match(matcher, i, seq)) {
                matcher.first = i;
                matcher.groups[0] = i;
                matcher.groups[1] = matcher.last;
                return true;
            } else {
                return false;
            }
        }
    }

    /**
     * Node to anchor at the end of input. This is the absolute end, so this
     * should not match at the last newline before the end as $ will.
     */
    static final class End extends Node {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int endIndex = (matcher.anchoringBounds) ?
                matcher.to : matcher.getTextLength();
            if (i == endIndex) {
                matcher.hitEnd = true;
                return next.match(matcher, i, seq);
            }
            return false;
        }
    }

    /**
     * Node to anchor at the beginning of a line. This is essentially the
     * object to match for the multiline ^.
     */
    static final class Caret extends Node {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int startIndex = matcher.from;
            int endIndex = matcher.to;
            if (!matcher.anchoringBounds) {
                startIndex = 0;
                endIndex = matcher.getTextLength();
            }
            // Perl does not match ^ at end of input even after newline
            if (i == endIndex) {
                matcher.hitEnd = true;
                return false;
            }
            if (i > startIndex) {
                char ch = seq.charAt(i-1);
                if (ch != '\n' && ch != '\r'
                    && (ch|1) != '\u2029'
                    && ch != '\u0085' ) {
                    return false;
                }
                // Should treat /r/n as one newline
                if (ch == '\r' && seq.charAt(i) == '\n')
                    return false;
            }
            return next.match(matcher, i, seq);
        }
    }

    /**
     * Node to anchor at the beginning of a line when in unixdot mode.
     */
    static final class UnixCaret extends Node {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int startIndex = matcher.from;
            int endIndex = matcher.to;
            if (!matcher.anchoringBounds) {
                startIndex = 0;
                endIndex = matcher.getTextLength();
            }
            // Perl does not match ^ at end of input even after newline
            if (i == endIndex) {
                matcher.hitEnd = true;
                return false;
            }
            if (i > startIndex) {
                char ch = seq.charAt(i-1);
                if (ch != '\n') {
                    return false;
                }
            }
            return next.match(matcher, i, seq);
        }
    }

    /**
     * Node to match the location where the last match ended.
     * This is used for the \G construct.
     */
    static final class LastMatch extends Node {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (i != matcher.oldLast)
                return false;
            return next.match(matcher, i, seq);
        }
    }

    /**
     * Node to anchor at the end of a line or the end of input based on the
     * multiline mode.
     *
     * When not in multiline mode, the $ can only match at the very end
     * of the input, unless the input ends in a line terminator in which
     * it matches right before the last line terminator.
     *
     * Note that \r\n is considered an atomic line terminator.
     *
     * Like ^ the $ operator matches at a position, it does not match the
     * line terminators themselves.
     */
    static final class Dollar extends Node {
        boolean multiline;
        Dollar(boolean mul) {
            multiline = mul;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int endIndex = (matcher.anchoringBounds) ?
                matcher.to : matcher.getTextLength();
            if (!multiline) {
                if (i < endIndex - 2)
                    return false;
                if (i == endIndex - 2) {
                    char ch = seq.charAt(i);
                    if (ch != '\r')
                        return false;
                    ch = seq.charAt(i + 1);
                    if (ch != '\n')
                        return false;
                }
            }
            // Matches before any line terminator; also matches at the
            // end of input
            // Before line terminator:
            // If multiline, we match here no matter what
            // If not multiline, fall through so that the end
            // is marked as hit; this must be a /r/n or a /n
            // at the very end so the end was hit; more input
            // could make this not match here
            if (i < endIndex) {
                char ch = seq.charAt(i);
                 if (ch == '\n') {
                     // No match between \r\n
                     if (i > 0 && seq.charAt(i-1) == '\r')
                         return false;
                     if (multiline)
                         return next.match(matcher, i, seq);
                 } else if (ch == '\r' || ch == '\u0085' ||
                            (ch|1) == '\u2029') {
                     if (multiline)
                         return next.match(matcher, i, seq);
                 } else { // No line terminator, no match
                     return false;
                 }
            }
            // Matched at current end so hit end
            matcher.hitEnd = true;
            // If a $ matches because of end of input, then more input
            // could cause it to fail!
            matcher.requireEnd = true;
            return next.match(matcher, i, seq);
        }
        boolean study(TreeInfo info) {
            next.study(info);
            return info.deterministic;
        }
    }

    /**
     * Node to anchor at the end of a line or the end of input based on the
     * multiline mode when in unix lines mode.
     */
    static final class UnixDollar extends Node {
        boolean multiline;
        UnixDollar(boolean mul) {
            multiline = mul;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int endIndex = (matcher.anchoringBounds) ?
                matcher.to : matcher.getTextLength();
            if (i < endIndex) {
                char ch = seq.charAt(i);
                if (ch == '\n') {
                    // If not multiline, then only possible to
                    // match at very end or one before end
                    if (multiline == false && i != endIndex - 1)
                        return false;
                    // If multiline return next.match without setting
                    // matcher.hitEnd
                    if (multiline)
                        return next.match(matcher, i, seq);
                } else {
                    return false;
                }
            }
            // Matching because at the end or 1 before the end;
            // more input could change this so set hitEnd
            matcher.hitEnd = true;
            // If a $ matches because of end of input, then more input
            // could cause it to fail!
            matcher.requireEnd = true;
            return next.match(matcher, i, seq);
        }
        boolean study(TreeInfo info) {
            next.study(info);
            return info.deterministic;
        }
    }

    /**
     * Node class that matches a Unicode line ending '\R'
     */
    static final class LineEnding extends Node {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            // (u+000Du+000A|[u+000Au+000Bu+000Cu+000Du+0085u+2028u+2029])
            if (i < matcher.to) {
                int ch = seq.charAt(i);
                if (ch == 0x0A || ch == 0x0B || ch == 0x0C ||
                    ch == 0x85 || ch == 0x2028 || ch == 0x2029)
                    return next.match(matcher, i + 1, seq);
                if (ch == 0x0D) {
                    i++;
                    if (i < matcher.to && seq.charAt(i) == 0x0A)
                        i++;
                    return next.match(matcher, i, seq);
                }
            } else {
                matcher.hitEnd = true;
            }
            return false;
        }
        boolean study(TreeInfo info) {
            info.minLength++;
            info.maxLength += 2;
            return next.study(info);
        }
    }

    /**
     * Abstract node class to match one character satisfying some
     * boolean property.
     */
    private static abstract class CharProperty extends Node {
        abstract boolean isSatisfiedBy(int ch);
        CharProperty complement() {
            return new CharProperty() {
                    boolean isSatisfiedBy(int ch) {
                        return ! CharProperty.this.isSatisfiedBy(ch);}};
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (i < matcher.to) {
                int ch = Character.codePointAt(seq, i);
                return isSatisfiedBy(ch)
                    && next.match(matcher, i+Character.charCount(ch), seq);
            } else {
                matcher.hitEnd = true;
                return false;
            }
        }
        boolean study(TreeInfo info) {
            info.minLength++;
            info.maxLength++;
            return next.study(info);
        }
    }

    /**
     * Optimized version of CharProperty that works only for
     * properties never satisfied by Supplementary characters.
     */
    private static abstract class BmpCharProperty extends CharProperty {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (i < matcher.to) {
                return isSatisfiedBy(seq.charAt(i))
                    && next.match(matcher, i+1, seq);
            } else {
                matcher.hitEnd = true;
                return false;
            }
        }
    }

    /**
     * Node class that matches a Supplementary Unicode character
     */
    static final class SingleS extends CharProperty {
        final int c;
        SingleS(int c) { this.c = c; }
        boolean isSatisfiedBy(int ch) {
            return ch == c;
        }
    }

    /**
     * Optimization -- matches a given BMP character
     */
    static final class Single extends BmpCharProperty {
        final int c;
        Single(int c) { this.c = c; }
        boolean isSatisfiedBy(int ch) {
            return ch == c;
        }
    }

    /**
     * Case insensitive matches a given BMP character
     */
    static final class SingleI extends BmpCharProperty {
        final int lower;
        final int upper;
        SingleI(int lower, int upper) {
            this.lower = lower;
            this.upper = upper;
        }
        boolean isSatisfiedBy(int ch) {
            return ch == lower || ch == upper;
        }
    }

    /**
     * Unicode case insensitive matches a given Unicode character
     */
    static final class SingleU extends CharProperty {
        final int lower;
        SingleU(int lower) {
            this.lower = lower;
        }
        boolean isSatisfiedBy(int ch) {
            return lower == ch ||
                lower == Character.toLowerCase(Character.toUpperCase(ch));
        }
    }

    /**
     * Node class that matches a Unicode block.
     */
    static final class Block extends CharProperty {
        final Character.UnicodeBlock block;
        Block(Character.UnicodeBlock block) {
            this.block = block;
        }
        boolean isSatisfiedBy(int ch) {
            return block == Character.UnicodeBlock.of(ch);
        }
    }

    /**
     * Node class that matches a Unicode script
     */
    static final class Script extends CharProperty {
        final Character.UnicodeScript script;
        Script(Character.UnicodeScript script) {
            this.script = script;
        }
        boolean isSatisfiedBy(int ch) {
            return script == Character.UnicodeScript.of(ch);
        }
    }

    /**
     * Node class that matches a Unicode category.
     */
    static final class Category extends CharProperty {
        final int typeMask;
        Category(int typeMask) { this.typeMask = typeMask; }
        boolean isSatisfiedBy(int ch) {
            return (typeMask & (1 << Character.getType(ch))) != 0;
        }
    }

    /**
     * Node class that matches a Unicode "type"
     */
    static final class Utype extends CharProperty {
        final UnicodeProp uprop;
        Utype(UnicodeProp uprop) { this.uprop = uprop; }
        boolean isSatisfiedBy(int ch) {
            return uprop.is(ch);
        }
    }

    /**
     * Node class that matches a POSIX type.
     */
    static final class Ctype extends BmpCharProperty {
        final int ctype;
        Ctype(int ctype) { this.ctype = ctype; }
        boolean isSatisfiedBy(int ch) {
            return ch < 128 && ASCII.isType(ch, ctype);
        }
    }

    /**
     * Node class that matches a Perl vertical whitespace
     */
    static final class VertWS extends BmpCharProperty {
        boolean isSatisfiedBy(int cp) {
            return (cp >= 0x0A && cp <= 0x0D) ||
                   cp == 0x85 || cp == 0x2028 || cp == 0x2029;
        }
    }

    /**
     * Node class that matches a Perl horizontal whitespace
     */
    static final class HorizWS extends BmpCharProperty {
        boolean isSatisfiedBy(int cp) {
            return cp == 0x09 || cp == 0x20 || cp == 0xa0 ||
                   cp == 0x1680 || cp == 0x180e ||
                   cp >= 0x2000 && cp <= 0x200a ||
                   cp == 0x202f || cp == 0x205f || cp == 0x3000;
        }
    }

    /**
     * Base class for all Slice nodes
     */
    static class SliceNode extends Node {
        int[] buffer;
        SliceNode(int[] buf) {
            buffer = buf;
        }
        boolean study(TreeInfo info) {
            info.minLength += buffer.length;
            info.maxLength += buffer.length;
            return next.study(info);
        }
    }

    /**
     * Node class for a case sensitive/BMP-only sequence of literal
     * characters.
     */
    static final class Slice extends SliceNode {
        Slice(int[] buf) {
            super(buf);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] buf = buffer;
            int len = buf.length;
            for (int j=0; j<len; j++) {
                if ((i+j) >= matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
                if (buf[j] != seq.charAt(i+j))
                    return false;
            }
            return next.match(matcher, i+len, seq);
        }
    }

    /**
     * Node class for a case_insensitive/BMP-only sequence of literal
     * characters.
     */
    static class SliceI extends SliceNode {
        SliceI(int[] buf) {
            super(buf);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] buf = buffer;
            int len = buf.length;
            for (int j=0; j<len; j++) {
                if ((i+j) >= matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
                int c = seq.charAt(i+j);
                if (buf[j] != c &&
                    buf[j] != ASCII.toLower(c))
                    return false;
            }
            return next.match(matcher, i+len, seq);
        }
    }

    /**
     * Node class for a unicode_case_insensitive/BMP-only sequence of
     * literal characters. Uses unicode case folding.
     */
    static final class SliceU extends SliceNode {
        SliceU(int[] buf) {
            super(buf);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] buf = buffer;
            int len = buf.length;
            for (int j=0; j<len; j++) {
                if ((i+j) >= matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
                int c = seq.charAt(i+j);
                if (buf[j] != c &&
                    buf[j] != Character.toLowerCase(Character.toUpperCase(c)))
                    return false;
            }
            return next.match(matcher, i+len, seq);
        }
    }

    /**
     * Node class for a case sensitive sequence of literal characters
     * including supplementary characters.
     */
    static final class SliceS extends SliceNode {
        SliceS(int[] buf) {
            super(buf);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] buf = buffer;
            int x = i;
            for (int j = 0; j < buf.length; j++) {
                if (x >= matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
                int c = Character.codePointAt(seq, x);
                if (buf[j] != c)
                    return false;
                x += Character.charCount(c);
                if (x > matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
            }
            return next.match(matcher, x, seq);
        }
    }

    /**
     * Node class for a case insensitive sequence of literal characters
     * including supplementary characters.
     */
    static class SliceIS extends SliceNode {
        SliceIS(int[] buf) {
            super(buf);
        }
        int toLower(int c) {
            return ASCII.toLower(c);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] buf = buffer;
            int x = i;
            for (int j = 0; j < buf.length; j++) {
                if (x >= matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
                int c = Character.codePointAt(seq, x);
                if (buf[j] != c && buf[j] != toLower(c))
                    return false;
                x += Character.charCount(c);
                if (x > matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
            }
            return next.match(matcher, x, seq);
        }
    }

    /**
     * Node class for a case insensitive sequence of literal characters.
     * Uses unicode case folding.
     */
    static final class SliceUS extends SliceIS {
        SliceUS(int[] buf) {
            super(buf);
        }
        int toLower(int c) {
            return Character.toLowerCase(Character.toUpperCase(c));
        }
    }

    private static boolean inRange(int lower, int ch, int upper) {
        return lower <= ch && ch <= upper;
    }

    /**
     * Returns node for matching characters within an explicit value range.
     */
    private static CharProperty rangeFor(final int lower,
                                         final int upper) {
        return new CharProperty() {
                boolean isSatisfiedBy(int ch) {
                    return inRange(lower, ch, upper);}};
    }

    /**
     * Returns node for matching characters within an explicit value
     * range in a case insensitive manner.
     */
    private CharProperty caseInsensitiveRangeFor(final int lower,
                                                 final int upper) {
        if (has(UNICODE_CASE))
            return new CharProperty() {
                boolean isSatisfiedBy(int ch) {
                    if (inRange(lower, ch, upper))
                        return true;
                    int up = Character.toUpperCase(ch);
                    return inRange(lower, up, upper) ||
                           inRange(lower, Character.toLowerCase(up), upper);}};
        return new CharProperty() {
            boolean isSatisfiedBy(int ch) {
                return inRange(lower, ch, upper) ||
                    ASCII.isAscii(ch) &&
                        (inRange(lower, ASCII.toUpper(ch), upper) ||
                         inRange(lower, ASCII.toLower(ch), upper));
            }};
    }

    /**
     * Implements the Unicode category ALL and the dot metacharacter when
     * in dotall mode.
     */
    static final class All extends CharProperty {
        boolean isSatisfiedBy(int ch) {
            return true;
        }
    }

    /**
     * Node class for the dot metacharacter when dotall is not enabled.
     */
    static final class Dot extends CharProperty {
        boolean isSatisfiedBy(int ch) {
            return (ch != '\n' && ch != '\r'
                    && (ch|1) != '\u2029'
                    && ch != '\u0085');
        }
    }

    /**
     * Node class for the dot metacharacter when dotall is not enabled
     * but UNIX_LINES is enabled.
     */
    static final class UnixDot extends CharProperty {
        boolean isSatisfiedBy(int ch) {
            return ch != '\n';
        }
    }

    /**
     * The 0 or 1 quantifier. This one class implements all three types.
     */
    static final class Ques extends Node {
        Node atom;
        int type;
        Ques(Node node, int type) {
            this.atom = node;
            this.type = type;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            switch (type) {
            case GREEDY:
                return (atom.match(matcher, i, seq) && next.match(matcher, matcher.last, seq))
                    || next.match(matcher, i, seq);
            case LAZY:
                return next.match(matcher, i, seq)
                    || (atom.match(matcher, i, seq) && next.match(matcher, matcher.last, seq));
            case POSSESSIVE:
                if (atom.match(matcher, i, seq)) i = matcher.last;
                return next.match(matcher, i, seq);
            default:
                return atom.match(matcher, i, seq) && next.match(matcher, matcher.last, seq);
            }
        }
        boolean study(TreeInfo info) {
            if (type != INDEPENDENT) {
                int minL = info.minLength;
                atom.study(info);
                info.minLength = minL;
                info.deterministic = false;
                return next.study(info);
            } else {
                atom.study(info);
                return next.study(info);
            }
        }
    }

    /**
     * Handles the curly-brace style repetition with a specified minimum and
     * maximum occurrences. The * quantifier is handled as a special case.
     * This class handles the three types.
     */
    static final class Curly extends Node {
        Node atom;
        int type;
        int cmin;
        int cmax;

        Curly(Node node, int cmin, int cmax, int type) {
            this.atom = node;
            this.type = type;
            this.cmin = cmin;
            this.cmax = cmax;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int j;
            for (j = 0; j < cmin; j++) {
                if (atom.match(matcher, i, seq)) {
                    i = matcher.last;
                    continue;
                }
                return false;
            }
            if (type == GREEDY)
                return match0(matcher, i, j, seq);
            else if (type == LAZY)
                return match1(matcher, i, j, seq);
            else
                return match2(matcher, i, j, seq);
        }
        // Greedy match.
        // i is the index to start matching at
        // j is the number of atoms that have matched
        boolean match0(Matcher matcher, int i, int j, CharSequence seq) {
            if (j >= cmax) {
                // We have matched the maximum... continue with the rest of
                // the regular expression
                return next.match(matcher, i, seq);
            }
            int backLimit = j;
            while (atom.match(matcher, i, seq)) {
                // k is the length of this match
                int k = matcher.last - i;
                if (k == 0) // Zero length match
                    break;
                // Move up index and number matched
                i = matcher.last;
                j++;
                // We are greedy so match as many as we can
                while (j < cmax) {
                    if (!atom.match(matcher, i, seq))
                        break;
                    if (i + k != matcher.last) {
                        if (match0(matcher, matcher.last, j+1, seq))
                            return true;
                        break;
                    }
                    i += k;
                    j++;
                }
                // Handle backing off if match fails
                while (j >= backLimit) {
                   if (next.match(matcher, i, seq))
                        return true;
                    i -= k;
                    j--;
                }
                return false;
            }
            return next.match(matcher, i, seq);
        }
        // Reluctant match. At this point, the minimum has been satisfied.
        // i is the index to start matching at
        // j is the number of atoms that have matched
        boolean match1(Matcher matcher, int i, int j, CharSequence seq) {
            for (;;) {
                // Try finishing match without consuming any more
                if (next.match(matcher, i, seq))
                    return true;
                // At the maximum, no match found
                if (j >= cmax)
                    return false;
                // Okay, must try one more atom
                if (!atom.match(matcher, i, seq))
                    return false;
                // If we haven't moved forward then must break out
                if (i == matcher.last)
                    return false;
                // Move up index and number matched
                i = matcher.last;
                j++;
            }
        }
        boolean match2(Matcher matcher, int i, int j, CharSequence seq) {
            for (; j < cmax; j++) {
                if (!atom.match(matcher, i, seq))
                    break;
                if (i == matcher.last)
                    break;
                i = matcher.last;
            }
            return next.match(matcher, i, seq);
        }
        boolean study(TreeInfo info) {
            // Save original info
            int minL = info.minLength;
            int maxL = info.maxLength;
            boolean maxV = info.maxValid;
            boolean detm = info.deterministic;
            info.reset();

            atom.study(info);

            int temp = info.minLength * cmin + minL;
            if (temp < minL) {
                temp = 0xFFFFFFF; // arbitrary large number
            }
            info.minLength = temp;

            if (maxV & info.maxValid) {
                temp = info.maxLength * cmax + maxL;
                info.maxLength = temp;
                if (temp < maxL) {
                    info.maxValid = false;
                }
            } else {
                info.maxValid = false;
            }

            if (info.deterministic && cmin == cmax)
                info.deterministic = detm;
            else
                info.deterministic = false;
            return next.study(info);
        }
    }

    /**
     * Handles the curly-brace style repetition with a specified minimum and
     * maximum occurrences in deterministic cases. This is an iterative
     * optimization over the Prolog and Loop system which would handle this
     * in a recursive way. The * quantifier is handled as a special case.
     * If capture is true then this class saves group settings and ensures
     * that groups are unset when backing off of a group match.
     */
    static final class GroupCurly extends Node {
        Node atom;
        int type;
        int cmin;
        int cmax;
        int localIndex;
        int groupIndex;
        boolean capture;

        GroupCurly(Node node, int cmin, int cmax, int type, int local,
                   int group, boolean capture) {
            this.atom = node;
            this.type = type;
            this.cmin = cmin;
            this.cmax = cmax;
            this.localIndex = local;
            this.groupIndex = group;
            this.capture = capture;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] groups = matcher.groups;
            int[] locals = matcher.locals;
            int save0 = locals[localIndex];
            int save1 = 0;
            int save2 = 0;

            if (capture) {
                save1 = groups[groupIndex];
                save2 = groups[groupIndex+1];
            }

            // Notify GroupTail there is no need to setup group info
            // because it will be set here
            locals[localIndex] = -1;

            boolean ret = true;
            for (int j = 0; j < cmin; j++) {
                if (atom.match(matcher, i, seq)) {
                    if (capture) {
                        groups[groupIndex] = i;
                        groups[groupIndex+1] = matcher.last;
                    }
                    i = matcher.last;
                } else {
                    ret = false;
                    break;
                }
            }
            if (ret) {
                if (type == GREEDY) {
                    ret = match0(matcher, i, cmin, seq);
                } else if (type == LAZY) {
                    ret = match1(matcher, i, cmin, seq);
                } else {
                    ret = match2(matcher, i, cmin, seq);
                }
            }
            if (!ret) {
                locals[localIndex] = save0;
                if (capture) {
                    groups[groupIndex] = save1;
                    groups[groupIndex+1] = save2;
                }
            }
            return ret;
        }
        // Aggressive group match
        boolean match0(Matcher matcher, int i, int j, CharSequence seq) {
            // don't back off passing the starting "j"
            int min = j;
            int[] groups = matcher.groups;
            int save0 = 0;
            int save1 = 0;
            if (capture) {
                save0 = groups[groupIndex];
                save1 = groups[groupIndex+1];
            }
            for (;;) {
                if (j >= cmax)
                    break;
                if (!atom.match(matcher, i, seq))
                    break;
                int k = matcher.last - i;
                if (k <= 0) {
                    if (capture) {
                        groups[groupIndex] = i;
                        groups[groupIndex+1] = i + k;
                    }
                    i = i + k;
                    break;
                }
                for (;;) {
                    if (capture) {
                        groups[groupIndex] = i;
                        groups[groupIndex+1] = i + k;
                    }
                    i = i + k;
                    if (++j >= cmax)
                        break;
                    if (!atom.match(matcher, i, seq))
                        break;
                    if (i + k != matcher.last) {
                        if (match0(matcher, i, j, seq))
                            return true;
                        break;
                    }
                }
                while (j > min) {
                    if (next.match(matcher, i, seq)) {
                        if (capture) {
                            groups[groupIndex+1] = i;
                            groups[groupIndex] = i - k;
                        }
                        return true;
                    }
                    // backing off
                    i = i - k;
                    if (capture) {
                        groups[groupIndex+1] = i;
                        groups[groupIndex] = i - k;
                    }
                    j--;

                }
                break;
            }
            if (capture) {
                groups[groupIndex] = save0;
                groups[groupIndex+1] = save1;
            }
            return next.match(matcher, i, seq);
        }
        // Reluctant matching
        boolean match1(Matcher matcher, int i, int j, CharSequence seq) {
            for (;;) {
                if (next.match(matcher, i, seq))
                    return true;
                if (j >= cmax)
                    return false;
                if (!atom.match(matcher, i, seq))
                    return false;
                if (i == matcher.last)
                    return false;
                if (capture) {
                    matcher.groups[groupIndex] = i;
                    matcher.groups[groupIndex+1] = matcher.last;
                }
                i = matcher.last;
                j++;
            }
        }
        // Possessive matching
        boolean match2(Matcher matcher, int i, int j, CharSequence seq) {
            for (; j < cmax; j++) {
                if (!atom.match(matcher, i, seq)) {
                    break;
                }
                if (capture) {
                    matcher.groups[groupIndex] = i;
                    matcher.groups[groupIndex+1] = matcher.last;
                }
                if (i == matcher.last) {
                    break;
                }
                i = matcher.last;
            }
            return next.match(matcher, i, seq);
        }
        boolean study(TreeInfo info) {
            // Save original info
            int minL = info.minLength;
            int maxL = info.maxLength;
            boolean maxV = info.maxValid;
            boolean detm = info.deterministic;
            info.reset();

            atom.study(info);

            int temp = info.minLength * cmin + minL;
            if (temp < minL) {
                temp = 0xFFFFFFF; // Arbitrary large number
            }
            info.minLength = temp;

            if (maxV & info.maxValid) {
                temp = info.maxLength * cmax + maxL;
                info.maxLength = temp;
                if (temp < maxL) {
                    info.maxValid = false;
                }
            } else {
                info.maxValid = false;
            }

            if (info.deterministic && cmin == cmax) {
                info.deterministic = detm;
            } else {
                info.deterministic = false;
            }
            return next.study(info);
        }
    }

    /**
     * A Guard node at the end of each atom node in a Branch. It
     * serves the purpose of chaining the "match" operation to
     * "next" but not the "study", so we can collect the TreeInfo
     * of each atom node without including the TreeInfo of the
     * "next".
     */
    static final class BranchConn extends Node {
        BranchConn() {};
        boolean match(Matcher matcher, int i, CharSequence seq) {
            return next.match(matcher, i, seq);
        }
        boolean study(TreeInfo info) {
            return info.deterministic;
        }
    }

    /**
     * Handles the branching of alternations. Note this is also used for
     * the ? quantifier to branch between the case where it matches once
     * and where it does not occur.
     */
    static final class Branch extends Node {
        Node[] atoms = new Node[2];
        int size = 2;
        Node conn;
        Branch(Node first, Node second, Node branchConn) {
            conn = branchConn;
            atoms[0] = first;
            atoms[1] = second;
        }

        void add(Node node) {
            if (size >= atoms.length) {
                Node[] tmp = new Node[atoms.length*2];
                System.arraycopy(atoms, 0, tmp, 0, atoms.length);
                atoms = tmp;
            }
            atoms[size++] = node;
        }

        boolean match(Matcher matcher, int i, CharSequence seq) {
            for (int n = 0; n < size; n++) {
                if (atoms[n] == null) {
                    if (conn.next.match(matcher, i, seq))
                        return true;
                } else if (atoms[n].match(matcher, i, seq)) {
                    return true;
                }
            }
            return false;
        }

        boolean study(TreeInfo info) {
            int minL = info.minLength;
            int maxL = info.maxLength;
            boolean maxV = info.maxValid;

            int minL2 = Integer.MAX_VALUE; //arbitrary large enough num
            int maxL2 = -1;
            for (int n = 0; n < size; n++) {
                info.reset();
                if (atoms[n] != null)
                    atoms[n].study(info);
                minL2 = Math.min(minL2, info.minLength);
                maxL2 = Math.max(maxL2, info.maxLength);
                maxV = (maxV & info.maxValid);
            }

            minL += minL2;
            maxL += maxL2;

            info.reset();
            conn.next.study(info);

            info.minLength += minL;
            info.maxLength += maxL;
            info.maxValid &= maxV;
            info.deterministic = false;
            return false;
        }
    }

    /**
     * The GroupHead saves the location where the group begins in the locals
     * and restores them when the match is done.
     *
     * The matchRef is used when a reference to this group is accessed later
     * in the expression. The locals will have a negative value in them to
     * indicate that we do not want to unset the group if the reference
     * doesn't match.
     */
    static final class GroupHead extends Node {
        int localIndex;
        GroupHead(int localCount) {
            localIndex = localCount;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int save = matcher.locals[localIndex];
            matcher.locals[localIndex] = i;
            boolean ret = next.match(matcher, i, seq);
            matcher.locals[localIndex] = save;
            return ret;
        }
        boolean matchRef(Matcher matcher, int i, CharSequence seq) {
            int save = matcher.locals[localIndex];
            matcher.locals[localIndex] = ~i; // HACK
            boolean ret = next.match(matcher, i, seq);
            matcher.locals[localIndex] = save;
            return ret;
        }
    }

    /**
     * Recursive reference to a group in the regular expression. It calls
     * matchRef because if the reference fails to match we would not unset
     * the group.
     */
    static final class GroupRef extends Node {
        GroupHead head;
        GroupRef(GroupHead head) {
            this.head = head;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            return head.matchRef(matcher, i, seq)
                && next.match(matcher, matcher.last, seq);
        }
        boolean study(TreeInfo info) {
            info.maxValid = false;
            info.deterministic = false;
            return next.study(info);
        }
    }

    /**
     * The GroupTail handles the setting of group beginning and ending
     * locations when groups are successfully matched. It must also be able to
     * unset groups that have to be backed off of.
     *
     * The GroupTail node is also used when a previous group is referenced,
     * and in that case no group information needs to be set.
     */
    static final class GroupTail extends Node {
        int localIndex;
        int groupIndex;
        GroupTail(int localCount, int groupCount) {
            localIndex = localCount;
            groupIndex = groupCount + groupCount;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int tmp = matcher.locals[localIndex];
            if (tmp >= 0) { // This is the normal group case.
                // Save the group so we can unset it if it
                // backs off of a match.
                int groupStart = matcher.groups[groupIndex];
                int groupEnd = matcher.groups[groupIndex+1];

                matcher.groups[groupIndex] = tmp;
                matcher.groups[groupIndex+1] = i;
                if (next.match(matcher, i, seq)) {
                    return true;
                }
                matcher.groups[groupIndex] = groupStart;
                matcher.groups[groupIndex+1] = groupEnd;
                return false;
            } else {
                // This is a group reference case. We don't need to save any
                // group info because it isn't really a group.
                matcher.last = i;
                return true;
            }
        }
    }

    /**
     * This sets up a loop to handle a recursive quantifier structure.
     */
    static final class Prolog extends Node {
        Loop loop;
        Prolog(Loop loop) {
            this.loop = loop;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            return loop.matchInit(matcher, i, seq);
        }
        boolean study(TreeInfo info) {
            return loop.study(info);
        }
    }

    /**
     * Handles the repetition count for a greedy Curly. The matchInit
     * is called from the Prolog to save the index of where the group
     * beginning is stored. A zero length group check occurs in the
     * normal match but is skipped in the matchInit.
     */
    static class Loop extends Node {
        Node body;
        int countIndex; // local count index in matcher locals
        int beginIndex; // group beginning index
        int cmin, cmax;
        Loop(int countIndex, int beginIndex) {
            this.countIndex = countIndex;
            this.beginIndex = beginIndex;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            // Avoid infinite loop in zero-length case.
            if (i > matcher.locals[beginIndex]) {
                int count = matcher.locals[countIndex];

                // This block is for before we reach the minimum
                // iterations required for the loop to match
                if (count < cmin) {
                    matcher.locals[countIndex] = count + 1;
                    boolean b = body.match(matcher, i, seq);
                    // If match failed we must backtrack, so
                    // the loop count should NOT be incremented
                    if (!b)
                        matcher.locals[countIndex] = count;
                    // Return success or failure since we are under
                    // minimum
                    return b;
                }
                // This block is for after we have the minimum
                // iterations required for the loop to match
                if (count < cmax) {
                    matcher.locals[countIndex] = count + 1;
                    boolean b = body.match(matcher, i, seq);
                    // If match failed we must backtrack, so
                    // the loop count should NOT be incremented
                    if (!b)
                        matcher.locals[countIndex] = count;
                    else
                        return true;
                }
            }
            return next.match(matcher, i, seq);
        }
        boolean matchInit(Matcher matcher, int i, CharSequence seq) {
            int save = matcher.locals[countIndex];
            boolean ret = false;
            if (0 < cmin) {
                matcher.locals[countIndex] = 1;
                ret = body.match(matcher, i, seq);
            } else if (0 < cmax) {
                matcher.locals[countIndex] = 1;
                ret = body.match(matcher, i, seq);
                if (ret == false)
                    ret = next.match(matcher, i, seq);
            } else {
                ret = next.match(matcher, i, seq);
            }
            matcher.locals[countIndex] = save;
            return ret;
        }
        boolean study(TreeInfo info) {
            info.maxValid = false;
            info.deterministic = false;
            return false;
        }
    }

    /**
     * Handles the repetition count for a reluctant Curly. The matchInit
     * is called from the Prolog to save the index of where the group
     * beginning is stored. A zero length group check occurs in the
     * normal match but is skipped in the matchInit.
     */
    static final class LazyLoop extends Loop {
        LazyLoop(int countIndex, int beginIndex) {
            super(countIndex, beginIndex);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            // Check for zero length group
            if (i > matcher.locals[beginIndex]) {
                int count = matcher.locals[countIndex];
                if (count < cmin) {
                    matcher.locals[countIndex] = count + 1;
                    boolean result = body.match(matcher, i, seq);
                    // If match failed we must backtrack, so
                    // the loop count should NOT be incremented
                    if (!result)
                        matcher.locals[countIndex] = count;
                    return result;
                }
                if (next.match(matcher, i, seq))
                    return true;
                if (count < cmax) {
                    matcher.locals[countIndex] = count + 1;
                    boolean result = body.match(matcher, i, seq);
                    // If match failed we must backtrack, so
                    // the loop count should NOT be incremented
                    if (!result)
                        matcher.locals[countIndex] = count;
                    return result;
                }
                return false;
            }
            return next.match(matcher, i, seq);
        }
        boolean matchInit(Matcher matcher, int i, CharSequence seq) {
            int save = matcher.locals[countIndex];
            boolean ret = false;
            if (0 < cmin) {
                matcher.locals[countIndex] = 1;
                ret = body.match(matcher, i, seq);
            } else if (next.match(matcher, i, seq)) {
                ret = true;
            } else if (0 < cmax) {
                matcher.locals[countIndex] = 1;
                ret = body.match(matcher, i, seq);
            }
            matcher.locals[countIndex] = save;
            return ret;
        }
        boolean study(TreeInfo info) {
            info.maxValid = false;
            info.deterministic = false;
            return false;
        }
    }

    /**
     * Refers to a group in the regular expression. Attempts to match
     * whatever the group referred to last matched.
     */
    static class BackRef extends Node {
        int groupIndex;
        BackRef(int groupCount) {
            super();
            groupIndex = groupCount + groupCount;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int j = matcher.groups[groupIndex];
            int k = matcher.groups[groupIndex+1];

            int groupSize = k - j;
            // If the referenced group didn't match, neither can this
            if (j < 0)
                return false;

            // If there isn't enough input left no match
            if (i + groupSize > matcher.to) {
                matcher.hitEnd = true;
                return false;
            }
            // Check each new char to make sure it matches what the group
            // referenced matched last time around
            for (int index=0; index<groupSize; index++)
                if (seq.charAt(i+index) != seq.charAt(j+index))
                    return false;

            return next.match(matcher, i+groupSize, seq);
        }
        boolean study(TreeInfo info) {
            info.maxValid = false;
            return next.study(info);
        }
    }

    static class CIBackRef extends Node {
        int groupIndex;
        boolean doUnicodeCase;
        CIBackRef(int groupCount, boolean doUnicodeCase) {
            super();
            groupIndex = groupCount + groupCount;
            this.doUnicodeCase = doUnicodeCase;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int j = matcher.groups[groupIndex];
            int k = matcher.groups[groupIndex+1];

            int groupSize = k - j;

            // If the referenced group didn't match, neither can this
            if (j < 0)
                return false;

            // If there isn't enough input left no match
            if (i + groupSize > matcher.to) {
                matcher.hitEnd = true;
                return false;
            }

            // Check each new char to make sure it matches what the group
            // referenced matched last time around
            int x = i;
            for (int index=0; index<groupSize; index++) {
                int c1 = Character.codePointAt(seq, x);
                int c2 = Character.codePointAt(seq, j);
                if (c1 != c2) {
                    if (doUnicodeCase) {
                        int cc1 = Character.toUpperCase(c1);
                        int cc2 = Character.toUpperCase(c2);
                        if (cc1 != cc2 &&
                            Character.toLowerCase(cc1) !=
                            Character.toLowerCase(cc2))
                            return false;
                    } else {
                        if (ASCII.toLower(c1) != ASCII.toLower(c2))
                            return false;
                    }
                }
                x += Character.charCount(c1);
                j += Character.charCount(c2);
            }

            return next.match(matcher, i+groupSize, seq);
        }
        boolean study(TreeInfo info) {
            info.maxValid = false;
            return next.study(info);
        }
    }

    /**
     * Searches until the next instance of its atom. This is useful for
     * finding the atom efficiently without passing an instance of it
     * (greedy problem) and without a lot of wasted search time (reluctant
     * problem).
     */
    static final class First extends Node {
        Node atom;
        First(Node node) {
            this.atom = BnM.optimize(node);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (atom instanceof BnM) {
                return atom.match(matcher, i, seq)
                    && next.match(matcher, matcher.last, seq);
            }
            for (;;) {
                if (i > matcher.to) {
                    matcher.hitEnd = true;
                    return false;
                }
                if (atom.match(matcher, i, seq)) {
                    return next.match(matcher, matcher.last, seq);
                }
                i += countChars(seq, i, 1);
                matcher.first++;
            }
        }
        boolean study(TreeInfo info) {
            atom.study(info);
            info.maxValid = false;
            info.deterministic = false;
            return next.study(info);
        }
    }

    static final class Conditional extends Node {
        Node cond, yes, not;
        Conditional(Node cond, Node yes, Node not) {
            this.cond = cond;
            this.yes = yes;
            this.not = not;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            if (cond.match(matcher, i, seq)) {
                return yes.match(matcher, i, seq);
            } else {
                return not.match(matcher, i, seq);
            }
        }
        boolean study(TreeInfo info) {
            int minL = info.minLength;
            int maxL = info.maxLength;
            boolean maxV = info.maxValid;
            info.reset();
            yes.study(info);

            int minL2 = info.minLength;
            int maxL2 = info.maxLength;
            boolean maxV2 = info.maxValid;
            info.reset();
            not.study(info);

            info.minLength = minL + Math.min(minL2, info.minLength);
            info.maxLength = maxL + Math.max(maxL2, info.maxLength);
            info.maxValid = (maxV & maxV2 & info.maxValid);
            info.deterministic = false;
            return next.study(info);
        }
    }

    /**
     * Zero width positive lookahead.
     */
    static final class Pos extends Node {
        Node cond;
        Pos(Node cond) {
            this.cond = cond;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int savedTo = matcher.to;
            boolean conditionMatched = false;

            // Relax transparent region boundaries for lookahead
            if (matcher.transparentBounds)
                matcher.to = matcher.getTextLength();
            try {
                conditionMatched = cond.match(matcher, i, seq);
            } finally {
                // Reinstate region boundaries
                matcher.to = savedTo;
            }
            return conditionMatched && next.match(matcher, i, seq);
        }
    }

    /**
     * Zero width negative lookahead.
     */
    static final class Neg extends Node {
        Node cond;
        Neg(Node cond) {
            this.cond = cond;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int savedTo = matcher.to;
            boolean conditionMatched = false;

            // Relax transparent region boundaries for lookahead
            if (matcher.transparentBounds)
                matcher.to = matcher.getTextLength();
            try {
                if (i < matcher.to) {
                    conditionMatched = !cond.match(matcher, i, seq);
                } else {
                    // If a negative lookahead succeeds then more input
                    // could cause it to fail!
                    matcher.requireEnd = true;
                    conditionMatched = !cond.match(matcher, i, seq);
                }
            } finally {
                // Reinstate region boundaries
                matcher.to = savedTo;
            }
            return conditionMatched && next.match(matcher, i, seq);
        }
    }

    /**
     * For use with lookbehinds; matches the position where the lookbehind
     * was encountered.
     */
    static Node lookbehindEnd = new Node() {
        boolean match(Matcher matcher, int i, CharSequence seq) {
            return i == matcher.lookbehindTo;
        }
    };

    /**
     * Zero width positive lookbehind.
     */
    static class Behind extends Node {
        Node cond;
        int rmax, rmin;
        Behind(Node cond, int rmax, int rmin) {
            this.cond = cond;
            this.rmax = rmax;
            this.rmin = rmin;
        }

        boolean match(Matcher matcher, int i, CharSequence seq) {
            int savedFrom = matcher.from;
            boolean conditionMatched = false;
            int startIndex = (!matcher.transparentBounds) ?
                             matcher.from : 0;
            int from = Math.max(i - rmax, startIndex);
            // Set end boundary
            int savedLBT = matcher.lookbehindTo;
            matcher.lookbehindTo = i;
            // Relax transparent region boundaries for lookbehind
            if (matcher.transparentBounds)
                matcher.from = 0;
            for (int j = i - rmin; !conditionMatched && j >= from; j--) {
                conditionMatched = cond.match(matcher, j, seq);
            }
            matcher.from = savedFrom;
            matcher.lookbehindTo = savedLBT;
            return conditionMatched && next.match(matcher, i, seq);
        }
    }

    /**
     * Zero width positive lookbehind, including supplementary
     * characters or unpaired surrogates.
     */
    static final class BehindS extends Behind {
        BehindS(Node cond, int rmax, int rmin) {
            super(cond, rmax, rmin);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int rmaxChars = countChars(seq, i, -rmax);
            int rminChars = countChars(seq, i, -rmin);
            int savedFrom = matcher.from;
            int startIndex = (!matcher.transparentBounds) ?
                             matcher.from : 0;
            boolean conditionMatched = false;
            int from = Math.max(i - rmaxChars, startIndex);
            // Set end boundary
            int savedLBT = matcher.lookbehindTo;
            matcher.lookbehindTo = i;
            // Relax transparent region boundaries for lookbehind
            if (matcher.transparentBounds)
                matcher.from = 0;

            for (int j = i - rminChars;
                 !conditionMatched && j >= from;
                 j -= j>from ? countChars(seq, j, -1) : 1) {
                conditionMatched = cond.match(matcher, j, seq);
            }
            matcher.from = savedFrom;
            matcher.lookbehindTo = savedLBT;
            return conditionMatched && next.match(matcher, i, seq);
        }
    }

    /**
     * Zero width negative lookbehind.
     */
    static class NotBehind extends Node {
        Node cond;
        int rmax, rmin;
        NotBehind(Node cond, int rmax, int rmin) {
            this.cond = cond;
            this.rmax = rmax;
            this.rmin = rmin;
        }

        boolean match(Matcher matcher, int i, CharSequence seq) {
            int savedLBT = matcher.lookbehindTo;
            int savedFrom = matcher.from;
            boolean conditionMatched = false;
            int startIndex = (!matcher.transparentBounds) ?
                             matcher.from : 0;
            int from = Math.max(i - rmax, startIndex);
            matcher.lookbehindTo = i;
            // Relax transparent region boundaries for lookbehind
            if (matcher.transparentBounds)
                matcher.from = 0;
            for (int j = i - rmin; !conditionMatched && j >= from; j--) {
                conditionMatched = cond.match(matcher, j, seq);
            }
            // Reinstate region boundaries
            matcher.from = savedFrom;
            matcher.lookbehindTo = savedLBT;
            return !conditionMatched && next.match(matcher, i, seq);
        }
    }

    /**
     * Zero width negative lookbehind, including supplementary
     * characters or unpaired surrogates.
     */
    static final class NotBehindS extends NotBehind {
        NotBehindS(Node cond, int rmax, int rmin) {
            super(cond, rmax, rmin);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int rmaxChars = countChars(seq, i, -rmax);
            int rminChars = countChars(seq, i, -rmin);
            int savedFrom = matcher.from;
            int savedLBT = matcher.lookbehindTo;
            boolean conditionMatched = false;
            int startIndex = (!matcher.transparentBounds) ?
                             matcher.from : 0;
            int from = Math.max(i - rmaxChars, startIndex);
            matcher.lookbehindTo = i;
            // Relax transparent region boundaries for lookbehind
            if (matcher.transparentBounds)
                matcher.from = 0;
            for (int j = i - rminChars;
                 !conditionMatched && j >= from;
                 j -= j>from ? countChars(seq, j, -1) : 1) {
                conditionMatched = cond.match(matcher, j, seq);
            }
            //Reinstate region boundaries
            matcher.from = savedFrom;
            matcher.lookbehindTo = savedLBT;
            return !conditionMatched && next.match(matcher, i, seq);
        }
    }

    /**
     * Returns the set union of two CharProperty nodes.
     */
    private static CharProperty union(final CharProperty lhs,
                                      final CharProperty rhs) {
        return new CharProperty() {
                boolean isSatisfiedBy(int ch) {
                    return lhs.isSatisfiedBy(ch) || rhs.isSatisfiedBy(ch);}};
    }

    /**
     * Returns the set intersection of two CharProperty nodes.
     */
    private static CharProperty intersection(final CharProperty lhs,
                                             final CharProperty rhs) {
        return new CharProperty() {
                boolean isSatisfiedBy(int ch) {
                    return lhs.isSatisfiedBy(ch) && rhs.isSatisfiedBy(ch);}};
    }

    /**
     * Returns the set difference of two CharProperty nodes.
     */
    private static CharProperty setDifference(final CharProperty lhs,
                                              final CharProperty rhs) {
        return new CharProperty() {
                boolean isSatisfiedBy(int ch) {
                    return ! rhs.isSatisfiedBy(ch) && lhs.isSatisfiedBy(ch);}};
    }

    /**
     * Handles word boundaries. Includes a field to allow this one class to
     * deal with the different types of word boundaries we can match. The word
     * characters include underscores, letters, and digits. Non spacing marks
     * can are also part of a word if they have a base character, otherwise
     * they are ignored for purposes of finding word boundaries.
     */
    static final class Bound extends Node {
        static int LEFT = 0x1;
        static int RIGHT= 0x2;
        static int BOTH = 0x3;
        static int NONE = 0x4;
        int type;
        boolean useUWORD;
        Bound(int n, boolean useUWORD) {
            type = n;
            this.useUWORD = useUWORD;
        }

        boolean isWord(int ch) {
            return useUWORD ? UnicodeProp.WORD.is(ch)
                            : (ch == '_' || Character.isLetterOrDigit(ch));
        }

        int check(Matcher matcher, int i, CharSequence seq) {
            int ch;
            boolean left = false;
            int startIndex = matcher.from;
            int endIndex = matcher.to;
            if (matcher.transparentBounds) {
                startIndex = 0;
                endIndex = matcher.getTextLength();
            }
            if (i > startIndex) {
                ch = Character.codePointBefore(seq, i);
                left = (isWord(ch) ||
                    ((Character.getType(ch) == Character.NON_SPACING_MARK)
                     && hasBaseCharacter(matcher, i-1, seq)));
            }
            boolean right = false;
            if (i < endIndex) {
                ch = Character.codePointAt(seq, i);
                right = (isWord(ch) ||
                    ((Character.getType(ch) == Character.NON_SPACING_MARK)
                     && hasBaseCharacter(matcher, i, seq)));
            } else {
                // Tried to access char past the end
                matcher.hitEnd = true;
                // The addition of another char could wreck a boundary
                matcher.requireEnd = true;
            }
            return ((left ^ right) ? (right ? LEFT : RIGHT) : NONE);
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            return (check(matcher, i, seq) & type) > 0
                && next.match(matcher, i, seq);
        }
    }

    /**
     * Non spacing marks only count as word characters in bounds calculations
     * if they have a base character.
     */
    private static boolean hasBaseCharacter(Matcher matcher, int i,
                                            CharSequence seq)
    {
        int start = (!matcher.transparentBounds) ?
            matcher.from : 0;
        for (int x=i; x >= start; x--) {
            int ch = Character.codePointAt(seq, x);
            if (Character.isLetterOrDigit(ch))
                return true;
            if (Character.getType(ch) == Character.NON_SPACING_MARK)
                continue;
            return false;
        }
        return false;
    }

    /**
     * Attempts to match a slice in the input using the Boyer-Moore string
     * matching algorithm. The algorithm is based on the idea that the
     * pattern can be shifted farther ahead in the search text if it is
     * matched right to left.
     * <p>
     * The pattern is compared to the input one character at a time, from
     * the rightmost character in the pattern to the left. If the characters
     * all match the pattern has been found. If a character does not match,
     * the pattern is shifted right a distance that is the maximum of two
     * functions, the bad character shift and the good suffix shift. This
     * shift moves the attempted match position through the input more
     * quickly than a naive one position at a time check.
     * <p>
     * The bad character shift is based on the character from the text that
     * did not match. If the character does not appear in the pattern, the
     * pattern can be shifted completely beyond the bad character. If the
     * character does occur in the pattern, the pattern can be shifted to
     * line the pattern up with the next occurrence of that character.
     * <p>
     * The good suffix shift is based on the idea that some subset on the right
     * side of the pattern has matched. When a bad character is found, the
     * pattern can be shifted right by the pattern length if the subset does
     * not occur again in pattern, or by the amount of distance to the
     * next occurrence of the subset in the pattern.
     *
     * Boyer-Moore search methods adapted from code by Amy Yu.
     */
    static class BnM extends Node {
        int[] buffer;
        int[] lastOcc;
        int[] optoSft;

        /**
         * Pre calculates arrays needed to generate the bad character
         * shift and the good suffix shift. Only the last seven bits
         * are used to see if chars match; This keeps the tables small
         * and covers the heavily used ASCII range, but occasionally
         * results in an aliased match for the bad character shift.
         */
        static Node optimize(Node node) {
            if (!(node instanceof Slice)) {
                return node;
            }

            int[] src = ((Slice) node).buffer;
            int patternLength = src.length;
            // The BM algorithm requires a bit of overhead;
            // If the pattern is short don't use it, since
            // a shift larger than the pattern length cannot
            // be used anyway.
            if (patternLength < 4) {
                return node;
            }
            int i, j, k;
            int[] lastOcc = new int[128];
            int[] optoSft = new int[patternLength];
            // Precalculate part of the bad character shift
            // It is a table for where in the pattern each
            // lower 7-bit value occurs
            for (i = 0; i < patternLength; i++) {
                lastOcc[src[i]&0x7F] = i + 1;
            }
            // Precalculate the good suffix shift
            // i is the shift amount being considered
NEXT:       for (i = patternLength; i > 0; i--) {
                // j is the beginning index of suffix being considered
                for (j = patternLength - 1; j >= i; j--) {
                    // Testing for good suffix
                    if (src[j] == src[j-i]) {
                        // src[j..len] is a good suffix
                        optoSft[j-1] = i;
                    } else {
                        // No match. The array has already been
                        // filled up with correct values before.
                        continue NEXT;
                    }
                }
                // This fills up the remaining of optoSft
                // any suffix can not have larger shift amount
                // then its sub-suffix. Why???
                while (j > 0) {
                    optoSft[--j] = i;
                }
            }
            // Set the guard value because of unicode compression
            optoSft[patternLength-1] = 1;
            if (node instanceof SliceS)
                return new BnMS(src, lastOcc, optoSft, node.next);
            return new BnM(src, lastOcc, optoSft, node.next);
        }
        BnM(int[] src, int[] lastOcc, int[] optoSft, Node next) {
            this.buffer = src;
            this.lastOcc = lastOcc;
            this.optoSft = optoSft;
            this.next = next;
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] src = buffer;
            int patternLength = src.length;
            int last = matcher.to - patternLength;

            // Loop over all possible match positions in text
NEXT:       while (i <= last) {
                // Loop over pattern from right to left
                for (int j = patternLength - 1; j >= 0; j--) {
                    int ch = seq.charAt(i+j);
                    if (ch != src[j]) {
                        // Shift search to the right by the maximum of the
                        // bad character shift and the good suffix shift
                        i += Math.max(j + 1 - lastOcc[ch&0x7F], optoSft[j]);
                        continue NEXT;
                    }
                }
                // Entire pattern matched starting at i
                matcher.first = i;
                boolean ret = next.match(matcher, i + patternLength, seq);
                if (ret) {
                    matcher.first = i;
                    matcher.groups[0] = matcher.first;
                    matcher.groups[1] = matcher.last;
                    return true;
                }
                i++;
            }
            // BnM is only used as the leading node in the unanchored case,
            // and it replaced its Start() which always searches to the end
            // if it doesn't find what it's looking for, so hitEnd is true.
            matcher.hitEnd = true;
            return false;
        }
        boolean study(TreeInfo info) {
            info.minLength += buffer.length;
            info.maxValid = false;
            return next.study(info);
        }
    }

    /**
     * Supplementary support version of BnM(). Unpaired surrogates are
     * also handled by this class.
     */
    static final class BnMS extends BnM {
        int lengthInChars;

        BnMS(int[] src, int[] lastOcc, int[] optoSft, Node next) {
            super(src, lastOcc, optoSft, next);
            for (int x = 0; x < buffer.length; x++) {
                lengthInChars += Character.charCount(buffer[x]);
            }
        }
        boolean match(Matcher matcher, int i, CharSequence seq) {
            int[] src = buffer;
            int patternLength = src.length;
            int last = matcher.to - lengthInChars;

            // Loop over all possible match positions in text
NEXT:       while (i <= last) {
                // Loop over pattern from right to left
                int ch;
                for (int j = countChars(seq, i, patternLength), x = patternLength - 1;
                     j > 0; j -= Character.charCount(ch), x--) {
                    ch = Character.codePointBefore(seq, i+j);
                    if (ch != src[x]) {
                        // Shift search to the right by the maximum of the
                        // bad character shift and the good suffix shift
                        int n = Math.max(x + 1 - lastOcc[ch&0x7F], optoSft[x]);
                        i += countChars(seq, i, n);
                        continue NEXT;
                    }
                }
                // Entire pattern matched starting at i
                matcher.first = i;
                boolean ret = next.match(matcher, i + lengthInChars, seq);
                if (ret) {
                    matcher.first = i;
                    matcher.groups[0] = matcher.first;
                    matcher.groups[1] = matcher.last;
                    return true;
                }
                i += countChars(seq, i, 1);
            }
            matcher.hitEnd = true;
            return false;
        }
    }

///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////

    /**
     *  This must be the very first initializer.
     */
    static Node accept = new Node();

    static Node lastAccept = new LastNode();

    private static class CharPropertyNames {

        static CharProperty charPropertyFor(String name) {
            CharPropertyFactory m = map.get(name);
            return m == null ? null : m.make();
        }

        private static abstract class CharPropertyFactory {
            abstract CharProperty make();
        }

        private static void defCategory(String name,
                                        final int typeMask) {
            map.put(name, new CharPropertyFactory() {
                    CharProperty make() { return new Category(typeMask);}});
        }

        private static void defRange(String name,
                                     final int lower, final int upper) {
            map.put(name, new CharPropertyFactory() {
                    CharProperty make() { return rangeFor(lower, upper);}});
        }

        private static void defCtype(String name,
                                     final int ctype) {
            map.put(name, new CharPropertyFactory() {
                    CharProperty make() { return new Ctype(ctype);}});
        }

        private static abstract class CloneableProperty
            extends CharProperty implements Cloneable
        {
            public CloneableProperty clone() {
                try {
                    return (CloneableProperty) super.clone();
                } catch (CloneNotSupportedException e) {
                    throw new AssertionError(e);
                }
            }
        }

        private static void defClone(String name,
                                     final CloneableProperty p) {
            map.put(name, new CharPropertyFactory() {
                    CharProperty make() { return p.clone();}});
        }

        private static final HashMap<String, CharPropertyFactory> map
            = new HashMap<>();

        static {
            // Unicode character property aliases, defined in
            // http://www.unicode.org/Public/UNIDATA/PropertyValueAliases.txt
            defCategory("Cn", 1<<Character.UNASSIGNED);
            defCategory("Lu", 1<<Character.UPPERCASE_LETTER);
            defCategory("Ll", 1<<Character.LOWERCASE_LETTER);
            defCategory("Lt", 1<<Character.TITLECASE_LETTER);
            defCategory("Lm", 1<<Character.MODIFIER_LETTER);
            defCategory("Lo", 1<<Character.OTHER_LETTER);
            defCategory("Mn", 1<<Character.NON_SPACING_MARK);
            defCategory("Me", 1<<Character.ENCLOSING_MARK);
            defCategory("Mc", 1<<Character.COMBINING_SPACING_MARK);
            defCategory("Nd", 1<<Character.DECIMAL_DIGIT_NUMBER);
            defCategory("Nl", 1<<Character.LETTER_NUMBER);
            defCategory("No", 1<<Character.OTHER_NUMBER);
            defCategory("Zs", 1<<Character.SPACE_SEPARATOR);
            defCategory("Zl", 1<<Character.LINE_SEPARATOR);
            defCategory("Zp", 1<<Character.PARAGRAPH_SEPARATOR);
            defCategory("Cc", 1<<Character.CONTROL);
            defCategory("Cf", 1<<Character.FORMAT);
            defCategory("Co", 1<<Character.PRIVATE_USE);
            defCategory("Cs", 1<<Character.SURROGATE);
            defCategory("Pd", 1<<Character.DASH_PUNCTUATION);
            defCategory("Ps", 1<<Character.START_PUNCTUATION);
            defCategory("Pe", 1<<Character.END_PUNCTUATION);
            defCategory("Pc", 1<<Character.CONNECTOR_PUNCTUATION);
            defCategory("Po", 1<<Character.OTHER_PUNCTUATION);
            defCategory("Sm", 1<<Character.MATH_SYMBOL);
            defCategory("Sc", 1<<Character.CURRENCY_SYMBOL);
            defCategory("Sk", 1<<Character.MODIFIER_SYMBOL);
            defCategory("So", 1<<Character.OTHER_SYMBOL);
            defCategory("Pi", 1<<Character.INITIAL_QUOTE_PUNCTUATION);
            defCategory("Pf", 1<<Character.FINAL_QUOTE_PUNCTUATION);
            defCategory("L", ((1<<Character.UPPERCASE_LETTER) |
                              (1<<Character.LOWERCASE_LETTER) |
                              (1<<Character.TITLECASE_LETTER) |
                              (1<<Character.MODIFIER_LETTER)  |
                              (1<<Character.OTHER_LETTER)));
            defCategory("M", ((1<<Character.NON_SPACING_MARK) |
                              (1<<Character.ENCLOSING_MARK)   |
                              (1<<Character.COMBINING_SPACING_MARK)));
            defCategory("N", ((1<<Character.DECIMAL_DIGIT_NUMBER) |
                              (1<<Character.LETTER_NUMBER)        |
                              (1<<Character.OTHER_NUMBER)));
            defCategory("Z", ((1<<Character.SPACE_SEPARATOR) |
                              (1<<Character.LINE_SEPARATOR)  |
                              (1<<Character.PARAGRAPH_SEPARATOR)));
            defCategory("C", ((1<<Character.CONTROL)     |
                              (1<<Character.FORMAT)      |
                              (1<<Character.PRIVATE_USE) |
                              (1<<Character.SURROGATE))); // Other
            defCategory("P", ((1<<Character.DASH_PUNCTUATION)      |
                              (1<<Character.START_PUNCTUATION)     |
                              (1<<Character.END_PUNCTUATION)       |
                              (1<<Character.CONNECTOR_PUNCTUATION) |
                              (1<<Character.OTHER_PUNCTUATION)     |
                              (1<<Character.INITIAL_QUOTE_PUNCTUATION) |
                              (1<<Character.FINAL_QUOTE_PUNCTUATION)));
            defCategory("S", ((1<<Character.MATH_SYMBOL)     |
                              (1<<Character.CURRENCY_SYMBOL) |
                              (1<<Character.MODIFIER_SYMBOL) |
                              (1<<Character.OTHER_SYMBOL)));
            defCategory("LC", ((1<<Character.UPPERCASE_LETTER) |
                               (1<<Character.LOWERCASE_LETTER) |
                               (1<<Character.TITLECASE_LETTER)));
            defCategory("LD", ((1<<Character.UPPERCASE_LETTER) |
                               (1<<Character.LOWERCASE_LETTER) |
                               (1<<Character.TITLECASE_LETTER) |
                               (1<<Character.MODIFIER_LETTER)  |
                               (1<<Character.OTHER_LETTER)     |
                               (1<<Character.DECIMAL_DIGIT_NUMBER)));
            defRange("L1", 0x00, 0xFF); // Latin-1
            map.put("all", new CharPropertyFactory() {
                    CharProperty make() { return new All(); }});

            // Posix regular expression character classes, defined in
            // http://www.unix.org/onlinepubs/009695399/basedefs/xbd_chap09.html
            defRange("ASCII", 0x00, 0x7F);   // ASCII
            defCtype("Alnum", ASCII.ALNUM);  // Alphanumeric characters
            defCtype("Alpha", ASCII.ALPHA);  // Alphabetic characters
            defCtype("Blank", ASCII.BLANK);  // Space and tab characters
            defCtype("Cntrl", ASCII.CNTRL);  // Control characters
            defRange("Digit", '0', '9');     // Numeric characters
            defCtype("Graph", ASCII.GRAPH);  // printable and visible
            defRange("Lower", 'a', 'z');     // Lower-case alphabetic
            defRange("Print", 0x20, 0x7E);   // Printable characters
            defCtype("Punct", ASCII.PUNCT);  // Punctuation characters
            defCtype("Space", ASCII.SPACE);  // Space characters
            defRange("Upper", 'A', 'Z');     // Upper-case alphabetic
            defCtype("XDigit",ASCII.XDIGIT); // hexadecimal digits

            // Java character properties, defined by methods in Character.java
            defClone("javaLowerCase", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isLowerCase(ch);}});
            defClone("javaUpperCase", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isUpperCase(ch);}});
            defClone("javaAlphabetic", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isAlphabetic(ch);}});
            defClone("javaIdeographic", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isIdeographic(ch);}});
            defClone("javaTitleCase", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isTitleCase(ch);}});
            defClone("javaDigit", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isDigit(ch);}});
            defClone("javaDefined", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isDefined(ch);}});
            defClone("javaLetter", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isLetter(ch);}});
            defClone("javaLetterOrDigit", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isLetterOrDigit(ch);}});
            defClone("javaJavaIdentifierStart", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isJavaIdentifierStart(ch);}});
            defClone("javaJavaIdentifierPart", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isJavaIdentifierPart(ch);}});
            defClone("javaUnicodeIdentifierStart", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isUnicodeIdentifierStart(ch);}});
            defClone("javaUnicodeIdentifierPart", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isUnicodeIdentifierPart(ch);}});
            defClone("javaIdentifierIgnorable", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isIdentifierIgnorable(ch);}});
            defClone("javaSpaceChar", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isSpaceChar(ch);}});
            defClone("javaWhitespace", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isWhitespace(ch);}});
            defClone("javaISOControl", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isISOControl(ch);}});
            defClone("javaMirrored", new CloneableProperty() {
                boolean isSatisfiedBy(int ch) {
                    return Character.isMirrored(ch);}});
        }
    }

    /**
     * Creates a predicate which can be used to match a string.
     *
     * @return  The predicate which can be used for matching on a string
     * @since   1.8
     */
    public Predicate<String> asPredicate() {
        return s -> matcher(s).find();
    }

    /**
     * Creates a stream from the given input sequence around matches of this
     * pattern.
     *
     * <p> The stream returned by this method contains each substring of the
     * input sequence that is terminated by another subsequence that matches
     * this pattern or is terminated by the end of the input sequence.  The
     * substrings in the stream are in the order in which they occur in the
     * input. Trailing empty strings will be discarded and not encountered in
     * the stream.
     *
     * <p> If this pattern does not match any subsequence of the input then
     * the resulting stream has just one element, namely the input sequence in
     * string form.
     *
     * <p> When there is a positive-width match at the beginning of the input
     * sequence then an empty leading substring is included at the beginning
     * of the stream. A zero-width match at the beginning however never produces
     * such empty leading substring.
     *
     * <p> If the input sequence is mutable, it must remain constant during the
     * execution of the terminal stream operation.  Otherwise, the result of the
     * terminal stream operation is undefined.
     *
     * @param   input
     *          The character sequence to be split
     *
     * @return  The stream of strings computed by splitting the input
     *          around matches of this pattern
     * @see     #split(CharSequence)
     * @since   1.8
     */
    public Stream<String> splitAsStream(final CharSequence input) {
        class MatcherIterator implements Iterator<String> {
            private final Matcher matcher;
            // The start position of the next sub-sequence of input
            // when current == input.length there are no more elements
            private int current;
            // null if the next element, if any, needs to obtained
            private String nextElement;
            // > 0 if there are N next empty elements
            private int emptyElementCount;

            MatcherIterator() {
                this.matcher = matcher(input);
            }

            public String next() {
                if (!hasNext())
                    throw new NoSuchElementException();

                if (emptyElementCount == 0) {
                    String n = nextElement;
                    nextElement = null;
                    return n;
                } else {
                    emptyElementCount--;
                    return "";
                }
            }

            public boolean hasNext() {
                if (nextElement != null || emptyElementCount > 0)
                    return true;

                if (current == input.length())
                    return false;

                // Consume the next matching element
                // Count sequence of matching empty elements
                while (matcher.find()) {
                    nextElement = input.subSequence(current, matcher.start()).toString();
                    current = matcher.end();
                    if (!nextElement.isEmpty()) {
                        return true;
                    } else if (current > 0) { // no empty leading substring for zero-width
                                              // match at the beginning of the input
                        emptyElementCount++;
                    }
                }

                // Consume last matching element
                nextElement = input.subSequence(current, input.length()).toString();
                current = input.length();
                if (!nextElement.isEmpty()) {
                    return true;
                } else {
                    // Ignore a terminal sequence of matching empty elements
                    emptyElementCount = 0;
                    nextElement = null;
                    return false;
                }
            }
        }
        return StreamSupport.stream(Spliterators.spliteratorUnknownSize(
                new MatcherIterator(), Spliterator.ORDERED | Spliterator.NONNULL), false);
    }
}
