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authorTobias Klauser <tklauser@distanz.ch>2008-01-27 11:37:44 +0100
committerTobias Klauser <tklauser@xenon.tklauser.home>2008-01-27 11:37:44 +0100
commit7e0f021a9aec35fd8e6725e87e3313b101d26f5e (patch)
treeb1cacc4b24393f517aeb4610e9e1021f954307a8 /reference/CPLUSPLUS/CONTRIB
Initial import (2.0.2-6)2.0.2-6
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-rw-r--r--reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/Makefile.am5
-rw-r--r--reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/Makefile.in410
-rw-r--r--reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp.html5110
-rw-r--r--reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp_toc.html124
-rw-r--r--reference/CPLUSPLUS/CONTRIB/Makefile.am6
-rw-r--r--reference/CPLUSPLUS/CONTRIB/Makefile.in528
-rw-r--r--reference/CPLUSPLUS/CONTRIB/intro.html23
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diff --git a/reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp.html b/reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp.html
new file mode 100644
index 0000000..de8f981
--- /dev/null
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+<!-- This HTML file has been created by texi2html 1.27
+ from libgpp.texi on 3 March 1994 -->
+
+<TITLE>to the GNU C++ Library</TITLE>
+<H1>to the GNU C++ Library</H1>
+<P>
+Copyright (C) 1988, 1991, 1992 Free Software Foundation, Inc.
+<P>
+Permission is granted to make and distribute verbatim copies of
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+Permission is granted to copy and distribute modified versions of this
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+<P>
+<H1><A NAME="SEC1" HREF="libgpp_toc.html#SEC1">GNU LIBRARY GENERAL PUBLIC LICENSE</A></H1>
+Version 2, June 1991
+<P>
+<PRE>
+Copyright (C) 1991 Free Software Foundation, Inc.
+675 Mass Ave, Cambridge, MA 02139, USA
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+
+[This is the first released version of the library GPL. It is
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+<P>
+ The licenses for most software are designed to take away your
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+ This license, the Library General Public License, applies to some
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+ To protect your rights, we need to make restrictions that forbid
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+These restrictions translate to certain responsibilities for you if
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+ For example, if you distribute copies of the library, whether gratis
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+ Our method of protecting your rights has two steps: (1) copyright
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+<P>
+<H2><A NAME="SEC4" HREF="libgpp_toc.html#SEC4">How to Apply These Terms to Your New Libraries</A></H2>
+<P>
+ If you develop a new library, and you want it to be of the greatest
+possible use to the public, we recommend making it free software that
+everyone can redistribute and change. You can do so by permitting
+redistribution under these terms (or, alternatively, under the terms of the
+ordinary General Public License).
+<P>
+ To apply these terms, attach the following notices to the library. It is
+safest to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least the
+"copyright" line and a pointer to where the full notice is found.
+<P>
+<PRE>
+<VAR>one line to give the library's name and an idea of what it does.</VAR>
+Copyright (C) <VAR>year</VAR> <VAR>name of author</VAR>
+
+This library is free software; you can redistribute it and/or
+modify it under the terms of the GNU Library General Public
+License as published by the Free Software Foundation; either
+version 2 of the License, or (at your option) any later version.
+
+This library 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
+Library General Public License for more details.
+
+You should have received a copy of the GNU Library General Public
+License along with this library; if not, write to the
+Free Software Foundation, Inc., 675 Mass Ave, Cambridge,
+MA 02139, USA.
+</PRE>
+<P>
+Also add information on how to contact you by electronic and paper mail.
+<P>
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the library, if
+necessary. Here is a sample; alter the names:
+<P>
+<PRE>
+Yoyodyne, Inc., hereby disclaims all copyright interest in
+the library `Frob' (a library for tweaking knobs) written
+by James Random Hacker.
+
+<VAR>signature of Ty Coon</VAR>, 1 April 1990
+Ty Coon, President of Vice
+</PRE>
+<P>
+That's all there is to it!
+<P>
+<H1><A NAME="SEC5" HREF="libgpp_toc.html#SEC5">Contributors to GNU C++ library</A></H1>
+<P>
+Aside from Michael Tiemann, who worked out the front end for GNU C++, and
+Richard Stallman, who worked out the back end, the following people (not
+including those who have made their contributions to GNU CC) should not go
+unmentioned.
+<P>
+<UL>
+<LI>
+Doug Lea contributed most otherwise unattributed classes.
+<P>
+<LI>
+Per Bothner contributed the iostream I/O classes.
+<P>
+<LI>
+Dirk Grunwald contributed the Random number generation classes,
+and PairingHeaps.
+<P>
+<LI>
+Kurt Baudendistel contributed Fixed precision reals.
+<P>
+<LI>
+Doug Schmidt contributed ordered hash tables, a perfect
+hash function generator, and several other utilities.
+<P>
+<LI>
+Marc Shapiro contributed the ideas and preliminary code for Plexes.
+<P>
+<LI>
+Eric Newton contributed the curses window classes.
+<P>
+<LI>
+Some of the I/O code is derived from BSD 4.4,
+and was developed by the University of California, Berkeley.
+<P>
+<LI>
+The code for converting accurately between floating point numbers
+and their string representations was written by David M. Gay of AT&#38;T.
+</UL>
+<P>
+<H1><A NAME="SEC6" HREF="libgpp_toc.html#SEC6">Installing GNU C++ library</A></H1>
+<P>
+<OL>
+<LI>
+Read through the README file and the Makefile. Make sure that all
+paths, system-dependent compile switches, and program names are correct.
+<P>
+<LI>
+Check that files <TT>`values.h'</TT>, <TT>`stdio.h'</TT>,
+and <TT>`math.h'</TT> declare and define values appropriate for your
+system.
+<P>
+<LI>
+Type <SAMP>`make all'</SAMP> to compile the library, test, and install.
+Current details about contents of the tests and utilities are in the
+<TT>`README'</TT> file.
+<P>
+</OL>
+<P>
+<H1><A NAME="SEC7" HREF="libgpp_toc.html#SEC7">Trouble in Installation</A></H1>
+<P>
+Here are some of the things that have caused trouble for people installing
+GNU C++ library.
+<P>
+<OL>
+<LI>
+Make sure that your GNU C++ version number is at least as high as your
+libg++ version number. For example, libg++ 1.22.0 requires g++ 1.22.0 or
+later releases.
+<P>
+<LI>
+Double-check system constants in the header files mentioned above.
+<P>
+</OL>
+<P>
+<H1><A NAME="SEC8" HREF="libgpp_toc.html#SEC8">GNU C++ library aims, objectives, and limitations</A></H1>
+<P>
+The GNU C++ library, libg++ is an attempt to provide a variety of C++
+programming tools and other support to GNU C++ programmers.
+<P>
+Differences in distribution policy are only part of the difference
+between libg++.a and AT&#38;T libC.a. libg++ is not intended to be an
+exact clone of libC. For one, libg++ contains bits of code that depend
+on special features of GNU g++ that are either different or lacking in
+the AT&#38;T version, including slightly different inlining and overloading
+strategies, dynamic local arrays, etc. All of these
+differences are minor. For example, while the AT&#38;T and GNU stream
+classes are implemented in very different ways, the vast majority of
+C++ programs compile and run under either version with no visible
+difference. Additionally, all g++-specific constructs are conditionally
+compiled; The library is designed to be compatible with any 2.0 C++
+compiler.
+<P>
+libg++ has also contained workarounds for some limitations in g++: both
+g++ and libg++ are still undergoing rapid development and testing--a
+task that is helped tremendously by the feedback of active users. This
+manual is also still under development; it has some catching up to do
+to include all the facilities now in the library.
+<P>
+libg++ is not the only freely available source of C++ class libraries.
+Some notable alternative sources are Interviews and NIHCL.
+(InterViews has been available on the X-windows X11 tapes and also
+from interviews.stanford.edu. NIHCL is available by anonymous
+ftp from GNU archives (such as the pub directory of prep.ai.mit.edu),
+although it is not supported by the FSF - and needs some work
+before it will work with g++.)
+<P>
+As every C++ programmer knows, the design (moreso than the
+implementation) of a C++ class library is something of a challenge.
+Part of the reason is that C++ supports two, partially incompatible,
+styles of object-oriented programming -- The "forest" approach,
+involving a collection of free-standing classes that can be mixed and
+matched, versus the completely hierarchical (smalltalk style)
+approach, in which all classes are derived from a common ancestor. Of
+course, both styles have advantages and disadvantages. So far, libg++
+has adopted the "forest" approach. Keith Gorlen's OOPS library adopts
+the hierarchical approach, and may be an attractive alternative for C++
+programmers who prefer this style.
+<P>
+Currently (and/or in the near future) libg++ provides support for a
+few basic kinds of classes:
+<P>
+The first kind of support provides an interface between C++ programs and
+C libraries. This includes basic header files (like <TT>`stdio.h'</TT>) as
+well as things like the File and stream classes. Other classes that
+interface to other aspects of C libraries (like those that maintain
+environmental information) are in various stages of development; all
+will undergo implementation modifications when the forthcoming GNU libc
+library is released.
+<P>
+The second kind of support contains general-purpose basic classes that
+transparently manage variable-sized objects on the freestore. This
+includes Obstacks, multiple-precision Integers and Rationals,
+arbitrary length Strings, BitSets, and BitStrings.
+<P>
+Third, several classes and utilities of common interest (e.g.,
+Complex numbers) are provided.
+<P>
+Fourth, a set of pseudo-generic prototype files are available
+as a mechanism for generating common container classes. These
+are described in more detail in the introduction to container
+prototypes. Currently, only a textual substitution
+mechanism is available for generic class creation.
+<P>
+<H1><A NAME="SEC9" HREF="libgpp_toc.html#SEC9">GNU C++ library stylistic conventions</A></H1>
+<P>
+<UL>
+<P>
+<LI>
+C++ source files have file extension <TT>`.cc'</TT>. Both C-compatibility
+header files and class declaration files have extension <TT>`.h'</TT>.
+<P>
+<LI>
+C++ class names begin with capital letters, except for <CODE>istream</CODE>
+and <CODE>ostream</CODE>, for AT&#38;T C++ compatibility. Multi-word class
+names capitalize each word, with no underscore separation.
+<P>
+<LI>
+Include files that define C++ classes begin with capital letters
+(as do the names of the classes themselves). <TT>`stream.h'</TT> is
+uncapitalized for AT&#38;T C++ compatibility.
+<P>
+<LI>
+Include files that supply function prototypes for other C
+functions (system calls and libraries) are all lower case.
+<P>
+<LI>
+All include files define a preprocessor variable _X_h, where X
+is the name of the file, and conditionally compile only if this
+has not been already defined. The <CODE>#pragma once</CODE> facility
+is also used to avoid re-inclusion.
+<P>
+<LI>
+Structures and objects that must be publicly defined,
+but are not intended for public use have names beginning
+with an underscore. (for example, the <CODE>_Srep</CODE> struct, which
+is used only by the String and SubString classes.)
+<P>
+<LI>
+The underscore is used to separate components of long function
+names, <BR>e.g., <CODE>set_File_exception_handler()</CODE>.
+<P>
+<LI>
+When a function could be usefully defined either as a
+member or a friend, it is generally a member if it modifies
+and/or returns itself, else it is a friend. There are cases
+where naturalness of expression wins out over this rule.
+<P>
+<LI>
+Class declaration files are formatted so that it is easy
+to quickly check them to determine function names, parameters,
+and so on. Because of the different kinds of things that may
+appear in class declarations, there is no perfect way to do
+this. Any suggestions on developing a common class
+declaration formatting style are welcome.
+<P>
+<LI>
+All classes use the same simple error (exception) handling strategy.
+Almost every class has a member function named <CODE>error(char* msg)</CODE>
+that invokes an associated error handler function via a pointer to that
+function, so that the error handling function may be reset by
+programmers. By default nearly all call <CODE>*lib_error_handler</CODE>, which
+prints the message and then aborts execution. This system is subject
+to change. In general, errors are assumed to be non-recoverable:
+Library classes do not include code that allows graceful continuation
+after exceptions.
+<P>
+</UL>
+<P>
+<H1><A NAME="SEC10" HREF="libgpp_toc.html#SEC10">Support for representation invariants</A></H1>
+<P>
+Most GNU C++ library classes possess a method named <CODE>OK()</CODE>,
+that is useful in helping to verify correct performance of class
+operations.
+<P>
+The <CODE>OK()</CODE> operations checks the "representation invariant" of a
+class object. This is a test to check whether the object is in a valid
+state. In effect, it is a (sometimes partial) verification of the
+library's promise that (1) class operations always leave objects in
+valid states, and (2) the class protects itself so that client functions
+cannot corrupt this state.
+<P>
+While no simple validation technique can assure that all operations
+perform correctly, calls to <CODE>OK()</CODE> can at least verify that
+operations do not corrupt representations. For example for <CODE>String
+a, b, c; ... a = b + c;</CODE>, a call to <CODE>a.OK();</CODE> will guarantee that
+<CODE>a</CODE> is a valid <CODE>String</CODE>, but does not guarantee that it
+contains the concatenation of <CODE>b + c</CODE>. However, given that <CODE>a</CODE>
+is known to be valid, it is possible to further verify its properties,
+for example via <CODE>a.after(b) == c &#38;&#38; a.before(c) == b</CODE>. In other
+words, <CODE>OK()</CODE> generally checks only those internal representation
+properties that are otherwise inaccessible to users of the class. Other
+class operations are often useful for further validation.
+<P>
+Failed calls to <CODE>OK()</CODE> call a class's <CODE>error</CODE> method if
+one exists, else directly call <CODE>abort</CODE>. Failure indicates
+an implementation error that should be reported.
+<P>
+With only rare exceptions, the internal support functions for a class
+never themselves call <CODE>OK()</CODE> (although many of the test files
+in the distribution call <CODE>OK()</CODE> extensively).
+<P>
+Verification of representational invariants can sometimes be
+very time consuming for complicated data structures.
+<P>
+<H1><A NAME="SEC11" HREF="libgpp_toc.html#SEC11">Introduction to container class prototypes</A></H1>
+<P>
+As a temporary mechanism enabling the support of generic classes, the GNU
+C++ Library distribution contains a directory (<TT>`g++-include'</TT>) of files
+designed to serve as the basis for generating container classes of
+specified elements. These files can be used to generate <TT>`.h'</TT> and
+<TT>`.cc'</TT> files in the current directory via a supplied shell script
+program that performs simple textual substitution to create specific
+classes.
+<P>
+While these classes are generated independently, and thus share no code,
+it is possible to create versions that do share code among subclasses. For
+example, using <CODE>typedef void* ent</CODE>, and then generating a
+<CODE>entList</CODE> class, other derived classes could be created using the
+<CODE>void*</CODE> coercion method described in Stroustrup, pp204-210.
+<P>
+This very simple class-generation facility is useful enough to serve
+current purposes, but will be replaced with a more coherent mechanism for
+handling C++ generics in a way that minimally disrupts current usage.
+Without knowing exactly when or how parametric classes might be
+added to the C++ language, provision of this simplest possible
+mechanism, textual substitution, appears to be the safest strategy,
+although it does require certain redundancies and awkward constructions.
+<P>
+Specific classes may be generated via the <TT>`genclass'</TT> shell script
+program. This program has arguments specifying the kinds of base types(s)
+to be used. Specifying base types requires two arguments. The first is the
+name of the base type, which may be any named type, like <CODE>int</CODE> or
+<CODE>String</CODE>. Only named types are supported; things like <CODE>int*</CODE> are
+not accepted. However, pointers like this may be used by supplying the
+appropriate typedefs (e.g., editing the resulting files to include
+<CODE>typedef int* intp;</CODE>). The type name must be followed by one of the
+words <CODE>val</CODE> or <CODE>ref</CODE>, to indicate whether the base elements
+should be passed to functions by-value or by-reference.
+<P>
+You can specify basic container classes using <CODE>genclass base
+[val,ref] proto</CODE>, where <CODE>proto</CODE> is the name of the class being
+generated. Container classes like dictionaries and maps that require
+two types may be specified via <CODE>genclass -2 keytype [val, ref],
+basetype [val, ref] proto</CODE>, where the key type is specified first and
+the contents type second. The resulting classnames and filenames are
+generated by prepending the specified type names to the prototype names,
+and separating the filename parts with dots. For example,
+<CODE>genclass int val List</CODE> generates class <CODE>intList</CODE> residing in
+files <TT>`int.List.h'</TT> and <TT>`int.List.cc'</TT>. <CODE>genclass -2 String
+ref int val VHMap</CODE> generates (the awkward, but unavoidable) class name
+<CODE>StringintVHMap</CODE>. Of course, programmers may use <CODE>typedef</CODE> or
+simple editing to create more appropriate names. The existence of dot
+seperators in file names allows the use of GNU make to help automate
+configuration and recompilation. An example Makefile exploiting such
+capabilities may be found in the <TT>`libg++/proto-kit'</TT> directory.
+<P>
+The <CODE>genclass</CODE> utility operates via simple text substitution using
+<CODE>sed</CODE>. All occurrences of the pseudo-types <CODE>&#60;T&#62;</CODE> and <CODE>&#60;C&#62;</CODE>
+(if there are two types) are replaced with the indicated type, and
+occurrences of <CODE>&#60;T&#38;&#62;</CODE> and <CODE>&#60;C&#38;&#62;</CODE> are replaced by just the types,
+if <CODE>val</CODE> is specified, or types followed by "&#38;" if <CODE>ref</CODE> is
+specified.
+<P>
+Programmers will frequently need to edit the <TT>`.h'</TT> file in order to
+insert additional <CODE>#include</CODE> directives or other modifications. A
+simple utility, <TT>`prepend-header'</TT> to prepend other <TT>`.h'</TT> files
+to generated files is provided in the distribution.
+<P>
+One dubious virtue of the prototyping mechanism is that, because sources files,
+not archived library classes, are generated, it is relatively simple for
+programmers to modify container classes in the common case where slight
+variations of standard container classes are required.
+<P>
+It is often a good idea for programmers to archive (via <CODE>ar</CODE>)
+generated classes into <TT>`.a'</TT> files so that only those class
+functions actually used in a given application will be loaded.
+The test subdirectory of the distribution shows an example of this.
+<P>
+Because of <CODE>#pragma interface</CODE> directives, the <TT>`.cc'</TT> files
+should be compiled with <CODE>-O</CODE> or <CODE>-DUSE_LIBGXX_INLINES</CODE>
+enabled.
+<P>
+Many container classes require specifications over and above the base
+class type. For example, classes that maintain some kind of ordering of
+elements require specification of a comparison function upon which to
+base the ordering. This is accomplished via a prototype file
+<TT>`defs.hP'</TT> that contains macros for these functions. While these
+macros default to perform reasonable actions, they can and should be
+changed in particular cases. Most prototypes require only one or a few
+of these. No harm is done if unused macros are defined to perform
+nonsensical actions. The macros are:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>DEFAULT_INITIAL_CAPACITY</CODE>
+<DD>The initial capacity for containers (e.g., hash tables) that require
+an initial capacity argument for constructors.
+Default: 100
+<P>
+<DT><CODE>&#60;T&#62;EQ(a, b)</CODE>
+<DD>return true if a is considered equal to b for the purposes of
+locating, etc., an element in a container.
+Default: (a == b)
+<P>
+<DT><CODE>&#60;T&#62;LE(a, b)</CODE>
+<DD>return true if a is less than or equal to b
+Default: (a &#60;= b)
+<P>
+<DT><CODE>&#60;T&#62;CMP(a, b)</CODE>
+<DD>return an integer &#60; 0 if a&#60;b, 0 if a==b, or &#62; 0 if a&#62;b.
+Default: (a &#60;= b)? (a==b)? 0 : -1 : 1
+<P>
+<DT><CODE>&#60;T&#62;HASH(a)</CODE>
+<DD>return an unsigned integer representing the hash of a.
+Default: hash(a) ; where extern unsigned int hash(&#60;T&#38;&#62;).
+(note: several useful hash functions are declared in builtin.h
+and defined in hash.cc)
+<P>
+</DL>
+<P>
+Nearly all prototypes container classes support container
+traversal via <CODE>Pix</CODE> pseudo indices, as described elsewhere.
+<P>
+All object containers must perform either a <CODE>X::X(X&#38;)</CODE> (or
+<CODE>X::X()</CODE> followed by <CODE>X::operator =(X&#38;)</CODE>) to copy objects into
+containers. (The latter form is used for containers built from C++
+arrays, like <CODE>VHSets</CODE>). When containers are destroyed, they invoke
+<CODE>X::~X()</CODE>. Any objects used in containers must have well behaved
+constructors and destructors. If you want to create containers that
+merely reference (point to) objects that reside elsewhere, and are not
+copied or destroyed inside the container, you must use containers
+of pointers, not containers of objects.
+<P>
+All prototypes are designed to generate <EM>HOMOGENOUS</EM> container
+classes. There is no universally applicable method in C++ to support
+heterogenous object collections with elements of various subclasses of
+some specified base class. The only way to get heterogenous structures
+is to use collections of pointers-to-objects, not collections of objects
+(which also requires you to take responsibility for managing storage for
+the objects pointed to yourself).
+<P>
+For example, the following usage illustrates a commonly encountered
+danger in trying to use container classes for heterogenous structures:
+<P>
+<PRE>
+class Base { int x; ...}
+class Derived : public Base { int y; ... }
+
+BaseVHSet s; // class BaseVHSet generated via something like
+ // `genclass Base ref VHSet'
+
+void f()
+{
+ Base b;
+ s.add(b); // OK
+
+ Derived d;
+ s.add(d); // (CHOP!)
+}
+</PRE>
+<P>
+At the line flagged with <SAMP>`(CHOP!)'</SAMP>, a <CODE>Base::Base(Base&#38;)</CODE> is
+called inside <CODE>Set::add(Base&#38;)</CODE>---<EM>not</EM>
+<CODE>Derived::Derived(Derived&#38;)</CODE>. Actually, in <CODE>VHSet</CODE>, a
+<CODE>Base::operator =(Base&#38;)</CODE>, is used instead to place the element in
+an array slot, but with the same effect. So only the Base part is
+copied as a <CODE>VHSet</CODE> element (a so-called chopped-copy). In this
+case, it has an <CODE>x</CODE> part, but no <CODE>y</CODE> part; and a Base, not
+Derived, vtable. Objects formed via chopped copies are rarely
+sensible.<P>
+To avoid this, you must resort to pointers:
+<P>
+<PRE>
+typedef Base* BasePtr;
+
+BasePtrVHSet s; // class BaseVHSet generated via something like
+ // `genclass BasePtr val VHSet'
+
+void f()
+{
+ Base* bp = new Base;
+ s.add(b);
+
+ Base* dp = new Derived;
+ s.add(d); // works fine.
+
+ // Don't forget to delete bp and dp sometime.
+ // The VHSet won't do this for you.
+}
+</PRE>
+<P>
+<H2><A NAME="SEC12" HREF="libgpp_toc.html#SEC12">Example</A></H2>
+<P>
+The prototypes can be difficult to use on first attempt. Here is an
+example that may be helpful. The utilities in the <TT>`proto-kit'</TT>
+simplify much of the actions described, but are not used here.
+<P>
+Suppose you create a class <CODE>Person</CODE>, and want to make an Map that
+links the social security numbers associated with each person. You start
+off with a file <TT>`Person.h'</TT>
+<P>
+<PRE>
+
+#include &#60;String.h&#62;
+
+class Person
+{
+ String nm;
+ String addr;
+ //...
+public:
+ const String&#38; name() { return nm; }
+ const String&#38; address() { return addr; }
+ void print() { ... }
+ //...
+}
+
+</PRE>
+<P>
+And in file <TT>`SSN.h'</TT>,
+<P>
+<PRE>
+typedef unsigned int SSN;
+</PRE>
+<P>
+Your first decision is what storage/usage strategy to use. There are
+several reasonable alternatives here: You might create an "object
+collection" of Persons, a "pointer collection" of
+pointers-to-Persons, or even a simple String map, housing either copies
+of pointers to the names of Persons, since other fields are unused for
+purposes of the Map. In an object collection, instances of class Person
+"live" inside the Map, while in a pointer collection, the instances
+live elsewhere. Also, as above, if instances of subclasses of Person are
+to be used inside the Map, you must use pointers. In a String Map, the
+same difference holds, but now only for the name fields. Any of these
+choices might make sense in particular applications.
+<P>
+The second choice is the Map implementation strategy. Either a tree
+or a hash table might make sense. Suppose you want an AVL tree Map.
+There are two things to now check. First, as an object collection,
+the AVLMap requires that the elsement class contain an <CODE>X(X&#38;)</CODE>
+constructor. In C++, if you don't specify such a constructor, one
+is constructed for you, but it is a very good idea to always do this
+yourself, to avoid surprises. In this example, you'd use something like
+<PRE>
+class Person
+{ ...;
+ Person(const Person&#38; p) :nm(p.nm), addr(p.addr) {}
+};
+</PRE>
+<P>
+Also, an AVLMap requires a comparison function for elements in order
+to maintain order. Rather than requiring you to write a particular
+comparison function, a <TT>`defs'</TT> file is consulted to determine how to
+compare items. You must create and edit such a file.
+<P>
+Before creating <TT>`Person.defs.h'</TT>, you must first make one additional
+decision. Should the Map member functions like <CODE>m.contains(p)</CODE>
+take arguments (<CODE>p</CODE>) by reference (i.e., typed as
+<CODE>int Map::contains(const Person&#38; p)</CODE> or by value (i.e., typed as
+<CODE>int Map::contains(const Person p)</CODE>. Generally, for user-defined
+classes, you want to pass by reference, and for builtins and pointers,
+to pass by value. SO you should pick by-reference.
+<P>
+You can now create <TT>`Person.defs.h'</TT> via <CODE>genclass Person ref defs</CODE>.
+This creates a simple skeleton that you must edit. First, add
+<CODE>#include "Person.h"</CODE> to the top. Second, edit the <CODE>&#60;T&#62;CMP(a,b)</CODE>
+macro to compare on name, via
+<P>
+<PRE>
+#define &#60;T&#62;CMP(a, b) ( compare(a.name(), b.name()) )
+</PRE>
+<P>
+which invokes the <CODE>int compare(const String&#38;, const String&#38;)</CODE>
+function from <TT>`String.h'</TT>. Of course, you could define this in any
+other way as well. In fact, the default versions in the skeleton turn
+out to be OK (albeit inefficient) in this particular example.
+<P>
+You may also want to create file <TT>`SSN.defs.h'</TT>. Here, choosing
+call-by-value makes sense, and since no other capabilities (like
+comparison functions) of the SSNs are used (and the defaults are OK
+anyway), you'd type
+<P>
+<PRE>
+genclass SSN val defs
+</PRE>
+<P>
+and then edit to place <CODE>#include "SSN.h"</CODE> at the top.
+<P>
+Finally, you can generate the classes. First, generate the base
+class for Maps via
+<P>
+<PRE>
+genclass -2 Person ref SSN val Map
+</PRE>
+<P>
+This generates only the abstract class, not the implementation, in file
+<TT>`Person.SSN.Map.h'</TT> and <TT>`Person.SSN.Map.cc'</TT>. To create the
+AVL implementation, type
+<P>
+<PRE>
+genclass -2 Person ref SSN val AVLMap
+</PRE>
+<P>
+This creates the class <CODE>PersonSSNAVLMap</CODE>, in
+<TT>`Person.SSN.AVLMap.h'</TT> and <TT>`Person.SSN.AVLMap.cc'</TT>.
+<P>
+To use the AVL implementation, compile the two generated <TT>`.cc'</TT> files, and
+specify <SAMP>`#include "Person.SSN.AVLMap.h"'</SAMP> in the application program.
+All other files are included in the right ways automatically.
+<P>
+One last consideration, peculiar to Maps, is to pick a reasonable
+default contents when declaring an AVLMap. Zero might be appropriate
+here, so you might declare a Map,
+<P>
+<PRE>
+PersonSSNAVLMap m((SSN)0);
+</PRE>
+<P>
+Suppose you wanted a <CODE>VHMap</CODE> instead of an <CODE>AVLMap</CODE> Besides
+generating different implementations, there are two differences in
+how you should prepare the <TT>`defs'</TT> file. First, because a VHMap
+uses a C++ array internally, and because C++ array slots are initialized
+differently than single elements, you must ensure that class Person
+contains (1) a no-argument constructor, and (2) an assignment operator.
+You could arrange this via
+<P>
+<PRE>
+class Person
+{ ...;
+ Person() {}
+ void operator = (const Person&#38; p) { nm = p.nm; addr = p.addr; }
+};
+</PRE>
+<P>
+(The lack of action in the constructor is OK here because <CODE>Strings</CODE>
+possess usable no-argument constructors.)
+<P>
+You also need to edit <TT>`Person.defs.h'</TT> to indicate a usable hash
+function and default capacity, via something like
+<P>
+<PRE>
+#include &#60;builtin.h&#62;
+#define &#60;T&#62;HASH(x) (hashpjw(x.name().chars()))
+#define DEFAULT_INITIAL_CAPACITY 1000
+</PRE>
+<P>
+Since the <CODE>hashpjw</CODE> function from <TT>`builtin.h'</TT> is
+appropriate here. Changing the default capacity to a value
+expected to exceed the actual capacity helps to avoid
+"hidden" inefficiencies when a new VHMap is created without
+overriding the default, which is all too easy to do.
+<P>
+Otherwise, everything is the same as above, substituting
+<CODE>VHMap</CODE> for <CODE>AVLMap</CODE>.
+<P>
+<H1><A NAME="SEC13" HREF="libgpp_toc.html#SEC13">Variable-Sized Object Representation</A></H1>
+<P>
+One of the first goals of the GNU C++ library is to enrich the kinds of
+basic classes that may be considered as (nearly) "built into" C++. A good
+deal of the inspiration for these efforts is derived from considering
+features of other type-rich languages, particularly Common Lisp and Scheme.
+The general characteristics of most class and friend operators and
+functions supported by these classes has been heavily influenced
+by such languages.
+<P>
+Four of these types, Strings, Integers, BitSets, and BitStrings (as well as
+associated and/or derived classes) require representations suitable for
+managing variable-sized objects on the free-store. The basic technique used
+for all of these is the same, although various details necessarily differ
+from class to class.
+<P>
+The general strategy for representing such objects is to create chunks of
+memory that include both header information (e.g., the size of the object),
+as well as the variable-size data (an array of some sort) at the end
+of the chunk. Generally the maximum size of an object is limited to
+something less than all of addressable memory, as a safeguard. The minimum
+size is also limited so as not to waste allocations expanding very small
+chunks. Internally, chunks are allocated in blocks well-tuned to the
+performance of the <CODE>new</CODE> operator.
+<P>
+Class elements themselves are merely pointers to these chunks.
+Most class operations are performed via inline "translation"
+functions that perform the required operation on the corresponding
+representation. However, constructors and assignments operate by
+copying entire representations, not just pointers.
+<P>
+No attempt is made to control temporary creation in expressions
+and functions involving these classes. Users of previous versions
+of the classes will note the disappearance of both "Tmp" classes
+and reference counting. These were dropped because, while they
+did improve performance in some cases, they obscure class
+mechanics, lead programmers into the false belief that they need not
+worry about such things, and occasionally have paradoxical behavior.
+<P>
+These variable-sized object classes are integrated as well as possible
+into C++. Most such classes possess converters that allow automatic
+coercion both from and to builtin basic types. (e.g., char* to and from
+String, long int to and from Integer, etc.). There are pro's and con's
+to circular converters, since they can sometimes lead to the conversion
+from a builtin type through to a class function and back to a builtin
+type without any special attention on the part of the programmer, both
+for better and worse.
+<P>
+Most of these classes also provide special-case operators and functions
+mixing basic with class types, as a way to avoid constructors in cases
+where the operations do not rely on anything special about the
+representations. For example, there is a special case concatenation
+operator for a String concatenated with a char, since building the
+result does not rely on anything about the String header. Again, there
+are arguments both for and against this approach. Supporting these cases
+adds a non-trivial degree of (mainly inline) function proliferation, but
+results in more efficient operations. Efficiency wins out over parsimony
+here, as part of the goal to produce classes that provide sufficient
+functionality and efficiency so that programmers are not tempted to try
+to manipulate or bypass the underlying representations.
+<P>
+<H1><A NAME="SEC14" HREF="libgpp_toc.html#SEC14">Some guidelines for using expression-oriented classes</A></H1>
+<P>
+The fact that C++ allows operators to be overloaded for user-defined
+classes can make programming with library classes like <CODE>Integer</CODE>,
+<CODE>String</CODE>, and so on very convenient. However, it is worth
+becoming familiar with some of the inherent limitations and problems
+associated with such operators.
+<P>
+Many operators are <EM>constructive</EM>, i.e., create a new object
+based on some function of some arguments. Sometimes the creation
+of such objects is wasteful. Most library classes supporting
+expressions contain facilities that help you avoid such waste.
+<P>
+For example, for <CODE>Integer a, b, c; ...; c = a + b + a;</CODE>, the
+plus operator is called to sum a and b, creating a new temporary object
+as its result. This temporary is then added with a, creating another
+temporary, which is finally copied into c, and the temporaries are then
+deleted. In other words, this code might have an effect similar to
+<CODE>Integer a, b, c; ...; Integer t1(a); t1 += b; Integer t2(t1);
+t2 += a; c = t2;</CODE>.
+<P>
+For small objects, simple operators, and/or non-time/space critical
+programs, creation of temporaries is not a big problem. However, often,
+when fine-tuning a program, it may be a good idea to rewrite such
+code in a less pleasant, but more efficient manner.
+<P>
+For builtin types like ints, and floats, C and C++ compilers already
+know how to optimize such expressions to reduce the need for
+temporaries. Unfortunately, this is not true for C++ user defined
+types, for the simple (but very annoying, in this context) reason that
+nothing at all is guaranteed about the semantics of overloaded operators
+and their interrelations. For example, if the above expression just
+involved ints, not Integers, a compiler might internally convert the
+statement into something like <CODE> c += a; c += b; c+= a; </CODE>, or
+perhaps something even more clever. But since C++ does not know that
+Integer operator += has any relation to Integer operator +, A C++
+compiler cannot do this kind of expression optimization itself.
+<P>
+In many cases, you can avoid construction of temporaries simply by
+using the assignment versions of operators whenever possible, since
+these versions create no temporaries. However, for maximum flexibility,
+most classes provide a set of "embedded assembly code" procedures
+that you can use to fully control time, space, and evaluation strategies.
+Most of these procedures are "three-address" procedures that take
+two <CODE>const</CODE> source arguments, and a destination argument. The
+procedures perform the appropriate actions, placing the results in
+the destination (which is may involve overwriting old contents). These
+procedures are designed to be fast and robust. In particular, aliasing
+is always handled correctly, so that, for example
+<CODE>add(x, x, x); </CODE> is perfectly OK. (The names of these procedures
+are listed along with the classes.)
+<P>
+For example, suppose you had an Integer expression
+<CODE> a = (b - a) * -(d / c); </CODE>
+<P>
+This would be compiled as if it were
+<CODE> Integer t1=b-a; Integer t2=d/c; Integer t3=-t2; Integer t4=t1*t3; a=t4;</CODE>
+<P>
+But, with some manual cleverness, you might yourself some up with
+<CODE> sub(a, b, a); mul(a, d, a); div(a, c, a); </CODE>
+<P>
+A related phenomenon occurs when creating your own constructive
+functions returning instances of such types. Suppose you wanted
+to write function
+<CODE>Integer f(const Integer&#38; a) { Integer r = a; r += a; return r; }</CODE>
+<P>
+This function, when called (as in <CODE> a = f(a); </CODE>) demonstrates a
+similar kind of wasted copy. The returned value r must be copied
+out of the function before it can be used by the caller. In GNU
+C++, there is an alternative via the use of named return values.
+Named return values allow you to manipulate the returned object
+directly, rather than requiring you to create a local inside
+a function and then copy it out as the returned value. In this
+example, this can be done via
+<CODE>Integer f(const Integer&#38; a) return r(a) { r += a; return; }</CODE>
+<P>
+A final guideline: The overloaded operators are very convenient, and
+much clearer to use than procedural code. It is almost always a good
+idea to make it right, <EM>then</EM> make it fast, by translating
+expression code into procedural code after it is known to be correct.
+<P>
+<H1><A NAME="SEC15" HREF="libgpp_toc.html#SEC15">Pseudo-indexes</A></H1>
+<P>
+Many useful classes operate as containers of elements. Techniques for
+accessing these elements from a container differ from class to class.
+In the GNU C++ library, access methods have been partially standardized
+across different classes via the use of pseudo-indexes called
+<CODE>Pixes</CODE>. A <CODE>Pix</CODE> acts in some ways like an index, and in some
+ways like a pointer. (Their underlying representations are just
+<CODE>void*</CODE> pointers). A <CODE>Pix</CODE> is a kind of "key" that is
+translated into an element access by the class. In virtually all cases,
+<CODE>Pixes</CODE> are pointers to some kind internal storage cells. The
+containers use these pointers to extract items.
+<P>
+<CODE>Pixes</CODE> support traversal and inspection of elements in a
+collection using analogs of array indexing. However, they are
+pointer-like in that <CODE>0</CODE> is treated as an invalid <CODE>Pix</CODE>, and
+unsafe insofar as programmers can attempt to access nonexistent elements
+via dangling or otherwise invalid <CODE>Pixes</CODE> without first checking
+for their validity.
+<P>
+In general it is a very bad idea to perform traversals in the the midst
+of destructive modifications to containers.
+<P>
+Typical applications might include code using the idiom
+<PRE>
+for (Pix i = a.first(); i != 0; a.next(i)) use(a(i));
+</PRE>
+for some container <CODE>a</CODE> and function <CODE>use</CODE>.
+<P>
+Classes supporting the use of <CODE>Pixes</CODE> always contain the following
+methods, assuming a container <CODE>a</CODE> of element types of <CODE>Base</CODE>.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Pix i = a.first()</CODE>
+<DD>Set i to index the first element of a or 0 if a is empty.
+<P>
+<DT><CODE>a.next(i)</CODE>
+<DD>advance i to the next element of a or 0 if there is no next element;
+<P>
+<DT><CODE>Base x = a(i); a(i) = x;</CODE>
+<DD>a(i) returns a reference to the element indexed by i.
+<P>
+<DT><CODE>int present = a.owns(i)</CODE>
+<DD>returns true if Pix i is a valid Pix in a. This is often a
+relatively slow operation, since the collection must usually
+traverse through elements to see if any correspond to the Pix.
+<P>
+</DL>
+<P>
+Some container classes also support backwards traversal via
+<P>
+<DL COMPACT>
+<DT><CODE>Pix i = a.last()</CODE>
+<DD>Set i to the last element of a or 0 if a is empty.
+<P>
+<DT><CODE>a.prev(i)</CODE>
+<DD>sets i to the previous element in a, or 0 if there is none.
+</DL>
+<P>
+Collections supporting elements with an equality operation possess
+<P>
+<DL COMPACT>
+<DT><CODE>Pix j = a.seek(x)</CODE>
+<DD>sets j to the index of the first occurrence of x, or 0 if x is
+not contained in a.
+</DL>
+<P>
+Bag classes possess
+<P>
+<DL COMPACT>
+<DT><CODE>Pix j = a.seek(x, Pix from = 0)</CODE>
+<DD>sets j to the index of the next occurrence of x following i,
+or 0 if x is not contained in a. If i == 0, the first occurrence
+is returned.
+</DL>
+<P>
+Set, Bag, and PQ classes possess
+<P>
+<DL COMPACT>
+<DT><CODE>Pix j = a.add(x) (or a.enq(x) for priority queues)</CODE>
+<DD>add x to the collection, returning its Pix. The Pix of an item
+can change in collections where further additions and deletions
+involve the actual movement of elements (currently in OXPSet,
+OXPBag, XPPQ, VOHSet), but in all other cases, an item's Pix may
+be considered a permanent key to its location.
+</DL>
+<P>
+<H1><A NAME="SEC16" HREF="libgpp_toc.html#SEC16">Header files for interfacing C++ to C</A></H1>
+<P>
+The following files are provided so that C++ programmers may
+invoke common C library and system calls. The names and contents
+of these files are subject to change in order to be compatible
+with the forthcoming GNU C library. Other files, not listed
+here, are simply C++-compatible interfaces to corresponding C
+library files.
+<P>
+<DL COMPACT>
+<DT><TT>`values.h'</TT>
+<DD>A collection of constants defining the numbers of bits in builtin
+types, minimum and maximum values, and the like. Most names are
+the same as those found in <TT>`values.h'</TT> found on Sun systems.
+<P>
+<DT><TT>`std.h'</TT>
+<DD>A collection of common system calls and <TT>`libc.a'</TT> functions.
+Only those functions that can be declared without introducing
+new type definitions (socket structures, for example) are
+provided. Common <CODE>char*</CODE> functions (like <CODE>strcmp</CODE>) are among
+the declarations. All functions are declared along with their
+library names, so that they may be safely overloaded.
+<P>
+<DT><TT>`string.h'</TT>
+<DD>This file merely includes <TT>`&#60;std.h&#62;'</TT>, where string function
+prototypes are declared. This is a workaround for the fact that
+system <TT>`string.h'</TT> and <TT>`strings.h'</TT> files often differ
+in contents.
+<P>
+<DT><TT>`osfcn.h'</TT>
+<DD>This file merely includes <TT>`&#60;std.h&#62;'</TT>, where system function
+prototypes are declared.
+<P>
+<DT><TT>`libc.h'</TT>
+<DD>This file merely includes <TT>`&#60;std.h&#62;'</TT>, where C library function
+prototypes are declared.
+<P>
+<DT><TT>`math.h'</TT>
+<DD>A collection of prototypes for functions usually found in
+libm.a, plus some <CODE>#define</CODE>d constants that appear to be
+consistent with those provided in the AT&#38;T version. The value
+of <CODE>HUGE</CODE> should be checked before using. Declarations of
+all common math functions are preceded with <CODE>overload</CODE>
+declarations, since these are commonly overloaded.
+<P>
+<DT><TT>`stdio.h'</TT>
+<DD>Declaration of <CODE>FILE</CODE> (<CODE>_iobuf</CODE>), common macros (like
+<CODE>getc</CODE>), and function prototypes for <TT>`libc.a'</TT>
+functions that operate on <CODE>FILE*</CODE>'s. The value
+<CODE>BUFSIZ</CODE> and the declaration of <CODE>_iobuf</CODE> should be
+checked before using.
+<P>
+<DT><TT>`assert.h'</TT>
+<DD>C++ versions of assert macros.
+<P>
+<DT><TT>`generic.h'</TT>
+<DD>String concatenation macros useful in creating generic classes.
+They are similar in function to the AT&#38;T CC versions.
+<P>
+<DT><TT>`new.h'</TT>
+<DD>Declarations of the default global operator new, the two-argument
+placement version, and associated error handlers.
+</DL>
+<P>
+<H1><A NAME="SEC17" HREF="libgpp_toc.html#SEC17">Utility functions for built in types</A></H1>
+<P>
+Files <TT>`builtin.h'</TT> and corresponding <TT>`.cc'</TT> implementation
+files contain various convenient
+inline and non-inline utility functions. These include useful
+enumeration types, such as <CODE>TRUE</CODE>, <CODE>FALSE</CODE> ,the type
+definition for pointers to libg++ error handling functions, and
+the following functions.
+<P>
+<DL COMPACT>
+<DT><CODE>long abs(long x); double abs(double x);</CODE>
+<DD>inline versions of abs. Note that the standard libc.a version,
+<CODE>int abs(int)</CODE> is <EM>not</EM> declared as inline.
+<P>
+<DT><CODE>void clearbit(long&#38; x, long b);</CODE>
+<DD>clears the b'th bit of x (inline).
+<P>
+<DT><CODE>void setbit(long&#38; x, long b);</CODE>
+<DD>sets the b'th bit of x (inline)
+<P>
+<DT><CODE>int testbit(long x, long b);</CODE>
+<DD>returns the b'th bit of x (inline).
+<P>
+<DT><CODE>int even(long y);</CODE>
+<DD>returns true if x is even (inline).
+<P>
+<DT><CODE>int odd(long y);</CODE>
+<DD>returns true is x is odd (inline).
+<P>
+<DT><CODE>int sign(long x); int sign(double x);</CODE>
+<DD>returns -1, 0, or 1, indicating whether x is less than, equal to, or
+greater than zero (inline).
+<P>
+<DT><CODE>long gcd(long x, long y);</CODE>
+<DD>returns the greatest common divisor of x and y.
+<P>
+<DT><CODE>long lcm(long x, long y);</CODE>
+<DD>returns the least common multiple of x and y.
+<P>
+<DT><CODE>long lg(long x);</CODE>
+<DD>returns the floor of the base 2 log of x.
+<P>
+<DT><CODE>long pow(long x, long y); double pow(double x, long y);</CODE>
+<DD>returns x to the integer power y using via the iterative O(log y)
+"Russian peasant" method.
+<P>
+<DT><CODE>long sqr(long x); double sqr(double x);</CODE>
+<DD>returns x squared (inline).
+<P>
+<DT><CODE>long sqrt(long y);</CODE>
+<DD>returns the floor of the square root of x.
+<P>
+<DT><CODE>unsigned int hashpjw(const char* s);</CODE>
+<DD>a hash function for null-terminated char* strings using the
+method described in Aho, Sethi, &#38; Ullman, p 436.
+<P>
+<DT><CODE>unsigned int multiplicativehash(int x);</CODE>
+<DD>a hash function for integers that returns the lower bits of
+multiplying x by the golden ratio times pow(2, 32).
+See Knuth, Vol 3, p 508.
+<P>
+<DT><CODE>unsigned int foldhash(double x);</CODE>
+<DD>a hash function for doubles that exclusive-or's the first and
+second words of x, returning the result as an integer.
+<P>
+<DT><CODE>double start_timer()</CODE>
+<DD>Starts a process timer.
+<P>
+<DT><CODE>double return_elapsed_time(double last_time)</CODE>
+<DD>Returns the process time since last_time.
+If last_time == 0 returns the time since the last start_timer.
+Returns -1 if start_timer was not first called.
+<P>
+</DL>
+<P>
+File <TT>`Maxima.h'</TT> includes versions of <CODE>MAX, MIN</CODE>
+for builtin types.
+<P>
+File <TT>`compare.h'</TT> includes versions of <CODE>compare(x, y)</CODE>
+for builtin types. These return negative if the first argument
+is less than the second, zero for equal, and positive for greater.
+<P>
+<H1><A NAME="SEC18" HREF="libgpp_toc.html#SEC18">Library dynamic allocation primitives</A></H1>
+<P>
+Libg++ contains versions of <CODE>malloc, free, realloc</CODE> that were
+designed to be well-tuned to C++ applications. The source file
+<TT>`malloc.c'</TT> contains some design and implementation details.
+Here are the major user-visible differences from most system
+malloc routines:
+<P>
+<OL>
+<P>
+<LI>
+These routines <EM>overwrite</EM> storage of freed space. This
+means that it is never permissible to use a <CODE>delete</CODE>'d
+object in any way. Doing so will either result in trapped
+fatal errors or random aborts within malloc, free, or realloc.
+<P>
+<LI>
+The routines tend to perform well when a large number
+of objects of the same size are allocated and freed. You
+may find that it is not worth it to create your
+own special allocation schemes in such cases.
+<P>
+<LI>
+The library sets top-level <CODE>operator new()</CODE> to call malloc and
+<CODE>operator delete()</CODE> to call free. Of course, you may override these
+definitions in C++ programs by creating your own operators that will
+take precedence over the library versions. However, if you do so, be
+sure to define <EM>both</EM> <CODE>operator new()</CODE> and <CODE>operator
+delete()</CODE>.
+<P>
+<LI>
+These routines do <EM>not</EM> support the odd convention, maintained by
+some versions of malloc, that you may call <CODE>realloc</CODE> with a pointer
+that has been <CODE>free</CODE>'d.
+<P>
+<LI>
+The routines automatically perform simple checks on <CODE>free</CODE>'d
+pointers that can often determine whether users have accidentally
+written beyond the boundaries of allocated space, resulting in a fatal
+error.
+<P>
+<LI>
+The function <CODE>malloc_usable_size(void* p)</CODE> returns the number of
+bytes actually allocated for <CODE>p</CODE>. For a valid pointer (i.e., one
+that has been <CODE>malloc</CODE>'d or <CODE>realloc</CODE>'d but not yet
+<CODE>free</CODE>'d) this will return a number greater than or equal to the
+requested size, else it will normally return 0. Unfortunately, a
+non-zero return can not be an absolutely perfect indication of lack of
+error. If a chunk has been <CODE>free</CODE>'d but then re-allocated for a
+different purpose somewhere elsewhere, then <CODE>malloc_usable_size</CODE>
+will return non-zero. Despite this, the function can be very valuable
+for performing run-time consistency checks.
+<P>
+<LI>
+<CODE>malloc</CODE> requires 8 bytes of overhead per allocated chunk, plus a
+mmaximum alignment adjustment of 8 bytes. The number of bytes of usable
+space is exactly as requested, rounded to the nearest 8 byte boundary.
+<P>
+<LI>
+The routines do <EM>not</EM> contain any synchronization support for
+multiprocessing. If you perform global allocation on a shared
+memory multiprocessor, you should disable compilation and use
+of libg++ malloc in the distribution <TT>`Makefile'</TT> and use your
+system version of malloc.
+<P>
+</OL>
+<P>
+<H1><A NAME="SEC19" HREF="libgpp_toc.html#SEC19">The new input/output classes</A></H1>
+<P>
+The iostream classes implement most of the features of AT&#38;T
+version 2.0 iostream library classes, and most of the features
+of the ANSI X3J16 library draft (which is based on the AT&#38;T design).
+These classes are available in <CODE>libg++</CODE> for convenience and for
+compatibility with older releases; however, since the iostream classes
+are licensed under less stringent terms than <CODE>libg++</CODE>, they are now
+also available in a separate library called <CODE>libio</CODE>---and
+documented in a separate manual, corresponding to that library.
+<P>
+See section 'Introduction' in <CITE>The GNU C++ Iostream Library</CITE>.
+<P>
+<H1><A NAME="SEC20" HREF="libgpp_toc.html#SEC20">The old I/O library</A></H1>
+<P>
+WARNING: This chapter describes classes that are <EM>obsolete</EM>.
+These classes are normally not available when libg++
+is installed normally. The sources are currently included
+in the distribution, and you can configure libg++ to use
+these classes instead of the new iostream classes.
+This is only a temporary measure; you should convert your
+code to use iostreams as soon as possible. The iostream
+classes provide some compatibility support, but it is
+very incomplete (there is no longer a <CODE>File</CODE> class).
+<P>
+<H2><A NAME="SEC21" HREF="libgpp_toc.html#SEC21">File-based classes</A></H2>
+
+The <CODE>File</CODE> class supports basic IO on Unix files. Operations are
+based on common C stdio library functions.
+<P>
+<CODE>File</CODE> serves as the base class for istreams, ostreams, and other
+derived classes. It contains the interface between the Unix stdio file
+library and these more structured classes. Most operations are implemented
+as simple calls to stdio functions. <CODE>File</CODE> class operations are also fully
+compatible with raw system file reads and writes (like the system
+<CODE>read</CODE> and <CODE>lseek</CODE> calls) when buffering is disabled (see below).
+The <CODE>FILE*</CODE> stdio file pointer is, however maintained as protected.
+Classes derived from File may only use the IO operations provided by File,
+which encompass essentially all stdio capabilities.
+<P>
+The class contains four general kinds of functions: methods for binding
+<CODE>File</CODE>s to physical Unix files, basic IO methods, file and buffer
+control methods, and methods for maintaining logical and physical file
+status.
+<P>
+Binding and related tasks are accomplished via <CODE>File</CODE> constructors and
+destructors, and member functions <CODE>open, close, remove, filedesc,
+name, setname</CODE>.
+<P>
+If a file name is provided in a constructor or open, it is
+maintained as class variable <CODE>nm</CODE> and is accessible
+via <CODE>name</CODE>. If no name is provided, then <CODE>nm</CODE> remains
+null, except that <CODE>Files</CODE> bound to the default files stdin,
+stdout, and stderr are automatically given the names
+<CODE>(stdin), (stdout), (stderr)</CODE> respectively.
+The function <CODE>setname</CODE> may be used to change the
+internal name of the <CODE>File</CODE>. This does not change the name
+of the physical file bound to the File.
+
+The member function <CODE>close</CODE> closes a file. The
+<CODE>~File</CODE> destructor closes a file if it is open, except
+that stdin, stdout, and stderr are flushed but left open for
+the system to close on program exit since some systems may
+require this, and on others it does not matter. <CODE>remove</CODE>
+closes the file, and then deletes it if possible by calling the
+system function to delete the file with the name provided in
+the <CODE>nm</CODE> field.
+<P>
+<H2><A NAME="SEC22" HREF="libgpp_toc.html#SEC22">Basic IO</A></H2>
+<P>
+<UL>
+<P>
+<LI>
+<CODE>read</CODE> and <CODE>write</CODE> perform binary IO via stdio
+<CODE>fread</CODE> and <CODE>fwrite</CODE>.
+<P>
+<LI>
+<CODE>get</CODE> and <CODE>put</CODE> for chars invoke stdio <CODE>getc</CODE>
+and <CODE>putc</CODE> macros.
+<P>
+<LI>
+<CODE>put(const char* s)</CODE> outputs a null-terminated string via
+stdio <CODE>fputs</CODE>.
+<P>
+<LI>
+<CODE>unget</CODE> and <CODE>putback</CODE> are synonyms. Both call stdio
+<CODE>ungetc</CODE>.
+<P>
+</UL>
+<P>
+<H2><A NAME="SEC23" HREF="libgpp_toc.html#SEC23">File Control</A></H2>
+<P>
+<CODE>flush</CODE>, <CODE>seek</CODE>, <CODE>tell</CODE>, and <CODE>tell</CODE> call the
+corresponding stdio functions.
+<P>
+<CODE>flush(char)</CODE> and <CODE>fill()</CODE> call stdio <CODE>_flsbuf</CODE>
+and <CODE>_filbuf</CODE> respectively.
+<P>
+<CODE>setbuf</CODE> is mainly useful to turn off buffering in cases
+where nonsequential binary IO is being performed. <CODE>raw</CODE> is a
+synonym for <CODE>setbuf(_IONBF)</CODE>. After a <CODE>f.raw()</CODE>, using
+the stdio functions instead of the system <CODE>read, write</CODE>,
+etc., calls entails very little overhead. Moreover, these become
+fully compatible with intermixed system calls (e.g.,
+<CODE>lseek(f.filedesc(), 0, 0)</CODE>). While intermixing <CODE>File</CODE>
+and system IO calls is not at all recommended, this technique
+does allow the <CODE>File</CODE> class to be used in conjunction with
+other functions and libraries already set up to operate on file
+descriptors. <CODE>setbuf</CODE> should be called at most once after a
+constructor or open, but before any IO.
+<P>
+<H2><A NAME="SEC24" HREF="libgpp_toc.html#SEC24">File Status</A></H2>
+<P>
+File status is maintained in several ways.
+<P>
+A <CODE>File</CODE> may be checked for accessibility via
+<CODE>is_open()</CODE>, which returns true if the File is bound to a
+usable physical file, <CODE>readable()</CODE>, which returns true if
+the File can be read from (opened for reading, and not in a
+_fail state), or <CODE>writable()</CODE>, which returns true if the
+File can be written to.
+<P>
+<CODE>File</CODE> operations return their status via two means: failure and
+success are represented via the logical state. Also, the
+return values of invoked stdio and system functions that
+return useful numeric values (not just failure/success flags)
+are held in a class variable accessible via <CODE>iocount</CODE>.
+(This is useful, for example, in determining the number of
+items actually read by the <CODE>read</CODE> function.)
+<P>
+Like the AT&#38;T i/o-stream classes, but unlike the description in
+the Stroustrup book, p238, <CODE>rdstate()</CODE> returns the bitwise
+OR of <CODE>_eof</CODE>, <CODE>_fail</CODE> and <CODE>_bad</CODE>, not necessarily
+distinct values. The functions <CODE>eof()</CODE>, <CODE>fail()</CODE>,
+<CODE>bad()</CODE>, and <CODE>good()</CODE> can be used to test for each of
+these conditions independently.
+<P>
+<CODE>_fail</CODE> becomes set for any input operation that could not
+read in the desired data, and for other failed operations. As
+with all Unix IO, <CODE>_eof</CODE> becomes true only when an input
+operations fails because of an end of file. Therefore,
+<CODE>_eof</CODE> is not immediately true after the last successful
+read of a file, but only after one final read attempt. Thus, for
+input operations, <CODE>_fail</CODE> and <CODE>_eof</CODE> almost always
+become true at the same time. <CODE>bad</CODE> is set for unbound
+files, and may also be set by applications in order to communicate
+input corruption. Conversely, <CODE>_good</CODE> is defined as 0 and
+is returned by <CODE>rdstate()</CODE> if all is well.
+<P>
+The state may be modified via <CODE>clear(flag)</CODE>, which,
+despite its name, sets the corresponding state_value flag.
+<CODE>clear()</CODE> with no arguments resets the state to <CODE>_good</CODE>.
+<CODE>failif(int cond)</CODE> sets the state to <CODE>_fail</CODE> only if
+<CODE>cond</CODE> is true.
+<P>
+Errors occuring during constructors and file opens also invoke the
+function <CODE>error</CODE>. <CODE>error</CODE> in turn calls a resetable error
+handling function pointed to by the non-member global variable
+<CODE>File_error_handler</CODE> only if a system error has been generated.
+Since <CODE>error</CODE> cannot tell if the current system error is actually
+responsible for a failure, it may at times print out spurious messages.
+Three error handlers are provided. The default,
+<CODE>verbose_File_error_handler</CODE> calls the system function
+<CODE>perror</CODE> to print the corresponding error message on standard
+error, and then returns to the caller. <CODE>quiet_File_error_handler</CODE>
+does nothing, and simply returns. <CODE>fatal_File_error_handler</CODE>
+prints the error and then aborts execution. These three handlers, or any
+other user-defined error handlers can be selected via the non-member
+function <CODE>set_File_error_handler</CODE>.
+<P>
+All read and write operations communicate either logical or
+physical failure by setting the <CODE>_fail</CODE> flag. All further
+operations are blocked if the state is in a <CODE>_fail</CODE> or<CODE>_bad</CODE>
+condition. Programmers must explicitly use <CODE>clear()</CODE> to
+reset the state in order to continue IO processing after
+either a logical or physical failure. C programmers who are
+unfamiliar with these conventions should note that, unlike
+the stdio library, <CODE>File</CODE> functions indicate IO success,
+status, or failure solely through the state, not via return values of
+the functions. The <CODE>void*</CODE> operator or <CODE>rdstate()</CODE>
+may be used to test success. In particular, according to c++
+conversion rules, the <CODE>void*</CODE> coercion is automatically
+applied whenever the <CODE>File&#38;</CODE> return value of any <CODE>File</CODE>
+function is tested in an <CODE>if</CODE> or <CODE>while</CODE>. Thus,
+for example, an easy way to copy all of stdin to stdout until
+eof (at which point <CODE>get</CODE> fails) or some error is
+<CODE>char c; while(cin.get(c) &#38;&#38; cout.put(c));</CODE>.
+<P>
+The current version of istreams and ostreams differs significantly
+from previous versions in order to obtain compatibility with
+AT&#38;T 1.2 streams. Most code using previous versions should still
+work. However, the following features of <CODE>File</CODE> are not
+incorporated in streams (they are still present in <CODE>File</CODE>):
+<CODE>scan(const char* fmt...), remove(), read(), write(),
+setbuf(), raw()</CODE>. Additionally, the feature of previous streams
+that allowed free intermixing of stream and stdio input and output
+is no longer guaranteed to always behave as desired.
+<P>
+<H1><A NAME="SEC25" HREF="libgpp_toc.html#SEC25">The Obstack class</A></H1>
+<P>
+The <CODE>Obstack</CODE> class is a simple rewrite of the C obstack macros and
+functions provided in the GNU CC compiler source distribution.
+<P>
+Obstacks provide a simple method of creating and maintaining a string
+table, optimized for the very frequent task of building strings
+character-by-character, and sometimes keeping them, and sometimes
+not. They seem especially useful in any parsing application. One of the
+test files demonstrates usage.
+<P>
+A brief summary:
+<DL COMPACT>
+<P>
+<DT><CODE>grow</CODE>
+<DD>places something on the obstack without committing to wrap
+it up as a single entity yet.
+<P>
+<DT><CODE>finish</CODE>
+<DD>wraps up a constructed object as a single entity,
+and returns the pointer to its start address.
+<P>
+<DT><CODE>copy</CODE>
+<DD>places things on the obstack, and <EM>does</EM> wrap them up.
+<CODE>copy</CODE> is always equivalent to first grow, then finish.
+<P>
+<DT><CODE>free</CODE>
+<DD>deletes something, and anything else put on the obstack since its creation.
+</DL>
+<P>
+The other functions are less commonly needed:
+<DL COMPACT>
+<DT><CODE>blank</CODE>
+<DD>is like grow, except it just grows the space by size units
+without placing anything into this space
+<DT><CODE>alloc</CODE>
+<DD>is like <CODE>blank</CODE>, but it wraps up the object and returns its starting
+address.
+<DT><CODE>chunk_size, base, next_free, alignment_mask, size, room</CODE>
+<DD>returns the appropriate class variables.
+<DT><CODE>grow_fast</CODE>
+<DD>places a character on the obstack without checking if there is enough room.
+<DT><CODE>blank_fast</CODE>
+<DD>like <CODE>blank</CODE>, but without checking if there is enough room.
+<DT><CODE>shrink(int n)</CODE>
+<DD>shrink the current chunk by n bytes.
+<DT><CODE>contains(void* addr)</CODE>
+<DD>returns true if the Obstack holds the address addr.
+</DL>
+<P>
+Here is a lightly edited version of the original C documentation:
+<P>
+These functions operate a stack of objects. Each object starts life
+small, and may grow to maturity. (Consider building a word syllable
+by syllable.) An object can move while it is growing. Once it has
+been "finished" it never changes address again. So the "top of the
+stack" is typically an immature growing object, while the rest of the
+stack is of mature, fixed size and fixed address objects.
+<P>
+These routines grab large chunks of memory, using the GNU C++ <CODE>new</CODE>
+operator. On occasion, they free chunks, via <CODE>delete</CODE>.
+<P>
+Each independent stack is represented by a Obstack.
+<P>
+One motivation for this package is the problem of growing char strings
+in symbol tables. Unless you are a "fascist pig with a read-only mind"
+[Gosper's immortal quote from HAKMEM item 154, out of context] you
+would not like to put any arbitrary upper limit on the length of your
+symbols.
+<P>
+In practice this often means you will build many short symbols and a
+few long symbols. At the time you are reading a symbol you don't know
+how long it is. One traditional method is to read a symbol into a
+buffer, <CODE>realloc()</CODE>ating the buffer every time you try to read a
+symbol that is longer than the buffer. This is beaut, but you still will
+want to copy the symbol from the buffer to a more permanent
+symbol-table entry say about half the time.
+<P>
+With obstacks, you can work differently. Use one obstack for all symbol
+names. As you read a symbol, grow the name in the obstack gradually.
+When the name is complete, finalize it. Then, if the symbol exists already,
+free the newly read name.
+<P>
+The way we do this is to take a large chunk, allocating memory from
+low addresses. When you want to build a symbol in the chunk you just
+add chars above the current "high water mark" in the chunk. When you
+have finished adding chars, because you got to the end of the symbol,
+you know how long the chars are, and you can create a new object.
+Mostly the chars will not burst over the highest address of the chunk,
+because you would typically expect a chunk to be (say) 100 times as
+long as an average object.
+<P>
+In case that isn't clear, when we have enough chars to make up
+the object, <EM>they are already contiguous in the chunk</EM> (guaranteed)
+so we just point to it where it lies. No moving of chars is
+needed and this is the second win: potentially long strings need
+never be explicitly shuffled. Once an object is formed, it does not
+change its address during its lifetime.
+<P>
+When the chars burst over a chunk boundary, we allocate a larger
+chunk, and then copy the partly formed object from the end of the old
+chunk to the beginning of the new larger chunk. We then carry on
+accreting characters to the end of the object as we normally would.
+<P>
+A special version of grow is provided to add a single char at a time
+to a growing object.
+<P>
+Summary:
+<P>
+<UL>
+<LI>
+We allocate large chunks.
+<LI>
+We carve out one object at a time from the current chunk.
+<LI>
+Once carved, an object never moves.
+<LI>
+We are free to append data of any size to the currently growing object.
+<LI>
+Exactly one object is growing in an obstack at any one time.
+<LI>
+You can run one obstack per control block.
+<LI>
+You may have as many control blocks as you dare.
+<LI>
+Because of the way we do it, you can `unwind' a obstack back to a
+previous state. (You may remove objects much as you would with a stack.)
+</UL>
+<P>
+The obstack data structure is used in many places in the GNU C++ compiler.
+<P>
+Differences from the the GNU C version
+<OL>
+<LI>
+The obvious differences stemming from the use of classes and
+inline functions instead of structs and macros. The C
+<CODE>init</CODE> and <CODE>begin</CODE> macros are replaced by constructors.
+<P>
+<LI>
+Overloaded function names are used for grow (and others),
+rather than the C <CODE>grow</CODE>, <CODE>grow0</CODE>, etc.
+<P>
+<LI>
+All dynamic allocation uses the the built-in <CODE>new</CODE> operator.
+This restricts flexibility by a little, but maintains compatibility
+with usual C++ conventions.
+<P>
+<LI>
+There are now two versions of finish:
+<P>
+<OL>
+<LI>
+finish() behaves like the C version.
+<P>
+<LI>
+finish(char terminator) adds <CODE>terminator</CODE>, and then calls
+<CODE>finish()</CODE>. This enables the normal invocation of <CODE>finish(0)</CODE> to
+wrap up a string being grown character-by-character.
+</OL>
+<P>
+<LI>
+There are special versions of grow(const char* s) and
+copy(const char* s) that add the null-terminated string <CODE>s</CODE>
+after computing its length.
+<P>
+<LI>
+The shrink and contains functions are provided.
+<P>
+</OL>
+<P>
+<H1><A NAME="SEC26" HREF="libgpp_toc.html#SEC26">The AllocRing class</A></H1>
+<P>
+An AllocRing is a bounded ring (circular list), each of whose elements
+contains a pointer to some space allocated via <CODE>new
+char[some_size]</CODE>. The entries are used cyclicly. The size, n, of the
+ring is fixed at construction. After that, every nth use of the ring
+will reuse (or reallocate) the same space. AllocRings are needed in
+order to temporarily hold chunks of space that are needed transiently,
+but across constructor-destructor scopes. They mainly useful for storing
+strings containing formatted characters to print across various
+functions and coercions. These strings are needed across routines, so
+may not be deleted in any one of them, but should be recovered at some
+point. In other words, an AllocRing is an extremely simple minded
+garbage collection mechanism. The GNU C++ library used to use one
+AllocRing for such formatting purposes, but it is being phased out,
+and is now only used by obsolete functions.
+These days, AllocRings are probably not very useful.
+<P>
+Support includes:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>AllocRing a(int n)</CODE>
+<DD>constructs an Alloc ring with n entries, all null.
+<P>
+<DT><CODE>void* mem = a.alloc(sz)</CODE>
+<DD>moves the ring pointer to the next entry, and reuses the space
+if their is enough, also allocates space via new char[sz].
+<P>
+<DT><CODE>int present = a.contains(void* ptr)</CODE>
+<DD>returns true if ptr is held in one of the ring entries.
+<P>
+<DT><CODE>a.clear()</CODE>
+<DD>deletes all space pointed to in any entry. This is called
+automatically upon destruction.
+<P>
+<DT><CODE>a.free(void* ptr)</CODE>
+<DD>If ptr is one of the entries, calls delete of the pointer,
+and resets to entry pointer to null.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC27" HREF="libgpp_toc.html#SEC27">The String class</A></H1>
+<P>
+The <CODE>String</CODE> class is designed to extend GNU C++ to support
+string processing capabilities similar to those in languages like
+Awk. The class provides facilities that ought to be convenient
+and efficient enough to be useful replacements for <CODE>char*</CODE>
+based processing via the C string library (i.e., <CODE>strcpy,
+strcmp,</CODE> etc.) in many applications. Many details about String
+representations are described in the Representation section.
+<P>
+A separate <CODE>SubString</CODE> class supports substring extraction
+and modification operations. This is implemented in a way that
+user programs never directly construct or represent substrings,
+which are only used indirectly via String operations.
+<P>
+Another separate class, <CODE>Regex</CODE> is also used indirectly via String
+operations in support of regular expression searching, matching, and the
+like. The Regex class is based entirely on the GNU Emacs regex
+functions. See section 'Syntax of Regular Expressions' in <CITE>GNU Emacs Manual</CITE>, for a full
+explanation of regular expression syntax. (For implementation details,
+see the internal documentation in files <TT>`regex.h'</TT> and
+<TT>`regex.c'</TT>.)
+<P>
+<H2><A NAME="SEC28" HREF="libgpp_toc.html#SEC28">Constructors</A></H2>
+<P>
+Strings are initialized and assigned as in the following examples:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>String x; String y = 0; String z = "";</CODE>
+<DD>Set x, y, and z to the nil string. Note that either 0 or "" may
+always be used to refer to the nil string.
+<P>
+<DT><CODE>String x = "Hello"; String y("Hello");</CODE>
+<DD>Set x and y to a copy of the string "Hello".
+<P>
+<DT><CODE>String x = 'A'; String y('A');</CODE>
+<DD>Set x and y to the string value "A"
+<P>
+<DT><CODE>String u = x; String v(x);</CODE>
+<DD>Set u and v to the same string as String x
+<P>
+<DT><CODE>String u = x.at(1,4); String v(x.at(1,4));</CODE>
+<DD>Set u and v to the length 4 substring of x starting at position 1
+(counting indexes from 0).
+<P>
+<DT><CODE>String x("abc", 2);</CODE>
+<DD>Sets x to "ab", i.e., the first 2 characters of "abc".
+<P>
+<DT><CODE>String x = dec(20);</CODE>
+<DD>Sets x to "20". As here, Strings may be initialized or assigned
+the results of any <CODE>char*</CODE> function.
+<P>
+</DL>
+<P>
+There are no directly accessible forms for declaring SubString
+variables.
+<P>
+The declaration <CODE>Regex r("[a-zA-Z_][a-zA-Z0-9_]*");</CODE> creates
+a compiled regular expression suitable for use in String
+operations described below. (In this case, one that matches any
+C++ identifier). The first argument may also be a String.
+Be careful in distinguishing the role of backslashes in quoted
+GNU C++ char* constants versus those in Regexes. For example, a Regex
+that matches either one or more tabs or all strings beginning
+with "ba" and ending with any number of occurrences of "na"
+could be declared as <CODE>Regex r = "\\(\t+\\)\\|\\(ba\\(na\\)*\\)"</CODE>
+Note that only one backslash is needed to signify the tab, but
+two are needed for the parenthesization and virgule, since the
+GNU C++ lexical analyzer decodes and strips backslashes before
+they are seen by Regex.
+<P>
+There are three additional optional arguments to the Regex constructor
+that are less commonly useful:
+<P>
+<DL COMPACT>
+<DT><CODE>fast (default 0)</CODE>
+<DD><CODE>fast</CODE> may be set to true (1) if the Regex should be
+"fast-compiled". This causes an additional compilation step that
+is generally worthwhile if the Regex will be used many times.
+<P>
+<DT><CODE>bufsize (default max(40, length of the string))</CODE>
+<DD>This is an estimate of the size of the internal compiled
+expression. Set it to a larger value if you know that the
+expression will require a lot of space. If you do not know,
+do not worry: realloc is used if necessary.
+<P>
+<DT><CODE>transtable (default none == 0)</CODE>
+<DD>The address of a byte translation table (a char[256]) that
+translates each character before matching.
+<P>
+</DL>
+<P>
+As a convenience, several Regexes are predefined and usable in
+any program. Here are their declarations from <TT>`String.h'</TT>.
+<P>
+<PRE>
+extern Regex RXwhite; // = "[ \n\t]+"
+extern Regex RXint; // = "-?[0-9]+"
+extern Regex RXdouble; // = "-?\\(\\([0-9]+\\.[0-9]*\\)\\|
+ // \\([0-9]+\\)\\|
+ // \\(\\.[0-9]+\\)\\)
+ // \\([eE][---+]?[0-9]+\\)?"
+extern Regex RXalpha; // = "[A-Za-z]+"
+extern Regex RXlowercase; // = "[a-z]+"
+extern Regex RXuppercase; // = "[A-Z]+"
+extern Regex RXalphanum; // = "[0-9A-Za-z]+"
+extern Regex RXidentifier; // = "[A-Za-z_][A-Za-z0-9_]*"
+
+</PRE>
+<P>
+<H2><A NAME="SEC29" HREF="libgpp_toc.html#SEC29">Examples</A></H2>
+<P>
+Most <CODE>String</CODE> class capabilities are best shown via example.
+The examples below use the following declarations.
+<P>
+<PRE>
+ String x = "Hello";
+ String y = "world";
+ String n = "123";
+ String z;
+ char* s = ",";
+ String lft, mid, rgt;
+ Regex r = "e[a-z]*o";
+ Regex r2("/[a-z]*/");
+ char c;
+ int i, pos, len;
+ double f;
+ String words[10];
+ words[0] = "a";
+ words[1] = "b";
+ words[2] = "c";
+
+</PRE>
+<P>
+<H2><A NAME="SEC30" HREF="libgpp_toc.html#SEC30">Comparing, Searching and Matching</A></H2>
+<P>
+The usual lexicographic relational operators (<CODE>==, !=, &#60;, &#60;=, &#62;, &#62;=</CODE>)
+are defined. A functional form <CODE>compare(String, String)</CODE> is also
+provided, as is <CODE>fcompare(String, String)</CODE>, which compares
+Strings without regard for upper vs. lower case.
+<P>
+All other matching and searching operations are based on some form of the
+(non-public) <CODE>match</CODE> and <CODE>search</CODE> functions. <CODE>match</CODE> and
+<CODE>search</CODE> differ in that <CODE>match</CODE> attempts to match only at the
+given starting position, while <CODE>search</CODE> starts at the position, and
+then proceeds left or right looking for a match. As seen in the following
+examples, the second optional <CODE>startpos</CODE> argument to functions using
+<CODE>match</CODE> and <CODE>search</CODE> specifies the starting position of the
+search: If non-negative, it results in a left-to-right search starting at
+position <CODE>startpos</CODE>, and if negative, a right-to-left search starting
+at position <CODE>x.length() + startpos</CODE>. In all cases, the index returned
+is that of the beginning of the match, or -1 if there is no match.
+<P>
+Three String functions serve as front ends to <CODE>search</CODE> and <CODE>match</CODE>.
+<CODE>index</CODE> performs a search, returning the index, <CODE>matches</CODE> performs
+a match, returning nonzero (actually, the length of the match) on success,
+and <CODE>contains</CODE> is a boolean function performing either a search or
+match, depending on whether an index argument is provided:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>x.index("lo")</CODE>
+<DD>returns the zero-based index of the leftmost occurrence of
+substring "lo" (3, in this case). The argument may be a
+String, SubString, char, char*, or Regex.
+<P>
+<DT><CODE>x.index("l", 2)</CODE>
+<DD>returns the index of the first of the leftmost occurrence of "l"
+found starting the search at position x[2], or 2 in this case.
+<P>
+<DT><CODE>x.index("l", -1)</CODE>
+<DD>returns the index of the rightmost occurrence of "l", or 3 here.
+<P>
+<DT><CODE>x.index("l", -3)</CODE>
+<DD>returns the index of the rightmost occurrence of "l" found by
+starting the search at the 3rd to the last position of x,
+returning 2 in this case.
+<P>
+<DT><CODE>pos = r.search("leo", 3, len, 0)</CODE>
+<DD>returns the index of r in the <CODE>char*</CODE> string of length 3,
+starting at position 0, also placing the length of the match
+in reference parameter len.
+<P>
+<DT><CODE>x.contains("He")</CODE>
+<DD>returns nonzero if the String x contains the substring "He". The
+argument may be a String, SubString, char, char*, or Regex.
+<P>
+<DT><CODE>x.contains("el", 1)</CODE>
+<DD>returns nonzero if x contains the substring "el" at position 1.
+As in this example, the second argument to <CODE>contains</CODE>,
+if present, means to match the substring only at that position,
+and not to search elsewhere in the string.
+<P>
+<DT><CODE>x.contains(RXwhite);</CODE>
+<DD>returns nonzero if x contains any whitespace (space, tab, or
+newline). Recall that <CODE>RXwhite</CODE> is a global whitespace Regex.
+<P>
+<DT><CODE>x.matches("lo", 3)</CODE>
+<DD>returns nonzero if x starting at position 3 exactly matches "lo", with
+no trailing characters (as it does in this example).
+<P>
+<DT><CODE>x.matches(r)</CODE>
+<DD>returns nonzero if String x as a whole matches Regex r.
+<P>
+<DT><CODE>int f = x.freq("l")</CODE>
+<DD>returns the number of distinct, nonoverlapping matches to the argument
+(2 in this case).
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC31" HREF="libgpp_toc.html#SEC31">Substring extraction</A></H2>
+<P>
+Substrings may be extracted via the <CODE>at</CODE>, <CODE>before</CODE>,
+<CODE>through</CODE>, <CODE>from</CODE>, and <CODE>after</CODE> functions.
+These behave as either lvalues or rvalues.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>z = x.at(2, 3)</CODE>
+<DD>sets String z to be equal to the length 3 substring of String x
+starting at zero-based position 2, setting z to "llo" in this
+case. A nil String is returned if the arguments don't make sense.
+<P>
+<DT><CODE>x.at(2, 2) = "r"</CODE>
+<DD>Sets what was in positions 2 to 3 of x to "r", setting x to
+"Hero" in this case. As indicated here, SubString assignments may
+be of different lengths.
+<P>
+<DT><CODE>x.at("He") = "je";</CODE>
+<DD>x("He") is the substring of x that matches the first occurrence of
+it's argument. The substitution sets x to "jello". If "He" did
+not occur, the substring would be nil, and the assignment would
+have no effect.
+<P>
+<DT><CODE>x.at("l", -1) = "i";</CODE>
+<DD>replaces the rightmost occurrence of "l" with "i", setting x to
+"Helio".
+<P>
+<DT><CODE>z = x.at(r)</CODE>
+<DD>sets String z to the first match in x of Regex r, or "ello" in this
+case. A nil String is returned if there is no match.
+<P>
+<DT><CODE>z = x.before("o")</CODE>
+<DD>sets z to the part of x to the left of the first occurrence of
+"o", or "Hell" in this case. The argument may also be a String,
+SubString, or Regex. (If there is no match, z is set to "".)
+<P>
+<DT><CODE>x.before("ll") = "Bri";</CODE>
+<DD>sets the part of x to the left of "ll" to "Bri", setting x to
+"Brillo".
+<P>
+<DT><CODE>z = x.before(2)</CODE>
+<DD>sets z to the part of x to the left of x[2], or "He" in this
+case.
+<P>
+<DT><CODE>z = x.after("Hel")</CODE>
+<DD>sets z to the part of x to the right of "Hel", or "lo" in this
+case.
+<P>
+<DT><CODE>z = x.through("el")</CODE>
+<DD>sets z to the part of x up and including "el", or "Hel" in this case.
+<P>
+<DT><CODE>z = x.from("el")</CODE>
+<DD>sets z to the part of x from "el" to the end, or "ello" in this case.
+<P>
+<DT><CODE>x.after("Hel") = "p";</CODE>
+<DD>sets x to "Help";
+<P>
+<DT><CODE>z = x.after(3)</CODE>
+<DD>sets z to the part of x to the right of x[3] or "o" in this case.
+<P>
+<DT><CODE>z = " ab c"; z = z.after(RXwhite)</CODE>
+<DD>sets z to the part of its old string to the right of the first
+group of whitespace, setting z to "ab c"; Use gsub(below) to
+strip out multiple occurrences of whitespace or any pattern.
+<P>
+<DT><CODE>x[0] = 'J';</CODE>
+<DD>sets the first element of x to 'J'. x[i] returns a reference to
+the ith element of x, or triggers an error if i is out of range.
+<P>
+<DT><CODE>common_prefix(x, "Help")</CODE>
+<DD>returns the String containing the common prefix of the two Strings
+or "Hel" in this case.
+<P>
+<DT><CODE>common_suffix(x, "to")</CODE>
+<DD>returns the String containing the common suffix of the two Strings
+or "o" in this case.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC32" HREF="libgpp_toc.html#SEC32">Concatenation</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>z = x + s + ' ' + y.at("w") + y.after("w") + ".";</CODE>
+<DD>sets z to "Hello, world."
+<P>
+<DT><CODE>x += y;</CODE>
+<DD>sets x to "Helloworld"
+<P>
+<DT><CODE>cat(x, y, z)</CODE>
+<DD>A faster way to say z = x + y.
+<P>
+<DT><CODE>cat(z, y, x, x)</CODE>
+<DD>Double concatenation; A faster way to say x = z + y + x.
+<P>
+<DT><CODE>y.prepend(x);</CODE>
+<DD>A faster way to say y = x + y.
+<P>
+<DT><CODE>z = replicate(x, 3);</CODE>
+<DD>sets z to "HelloHelloHello".
+<P>
+<DT><CODE>z = join(words, 3, "/")</CODE>
+<DD>sets z to the concatenation of the first 3 Strings in String
+array words, each separated by "/", setting z to "a/b/c" in this
+case. The last argument may be "" or 0, indicating no separation.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC33" HREF="libgpp_toc.html#SEC33">Other manipulations</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>z = "this string has five words"; i = split(z, words, 10, RXwhite);</CODE>
+<DD>sets up to 10 elements of String array words to the parts of z
+separated by whitespace, and returns the number of parts actually
+encountered (5 in this case). Here, words[0] = "this", words[1] =
+"string", etc. The last argument may be any of the usual.
+If there is no match, all of z ends up in words[0]. The words array
+is <EM>not</EM> dynamically created by split.
+<P>
+<DT><CODE>int nmatches x.gsub("l","ll")</CODE>
+<DD>substitutes all original occurrences of "l" with "ll", setting x
+to "Hellllo". The first argument may be any of the usual,
+including Regex. If the second argument is "" or 0, all
+occurrences are deleted. gsub returns the number of matches
+that were replaced.
+<P>
+<DT><CODE>z = x + y; z.del("loworl");</CODE>
+<DD>deletes the leftmost occurrence of "loworl" in z, setting z to
+"Held".
+<P>
+<DT><CODE>z = reverse(x)</CODE>
+<DD>sets z to the reverse of x, or "olleH".
+<P>
+<DT><CODE>z = upcase(x)</CODE>
+<DD>sets z to x, with all letters set to uppercase, setting z to "HELLO"
+<P>
+<DT><CODE>z = downcase(x)</CODE>
+<DD>sets z to x, with all letters set to lowercase, setting z to "hello"
+<P>
+<DT><CODE>z = capitalize(x)</CODE>
+<DD>sets z to x, with the first letter of each word set to uppercase,
+and all others to lowercase, setting z to "Hello"
+<P>
+<DT><CODE>x.reverse(), x.upcase(), x.downcase(), x.capitalize()</CODE>
+<DD>in-place, self-modifying versions of the above.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC34" HREF="libgpp_toc.html#SEC34">Reading, Writing and Conversion</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>cout &#60;&#60; x</CODE>
+<DD>writes out x.
+<P>
+<DT><CODE>cout &#60;&#60; x.at(2, 3)</CODE>
+<DD>writes out the substring "llo".
+<P>
+<DT><CODE>cin &#62;&#62; x</CODE>
+<DD>reads a whitespace-bounded string into x.
+<P>
+<DT><CODE>x.length()</CODE>
+<DD>returns the length of String x (5, in this case).
+<P>
+<DT><CODE>s = (const char*)x</CODE>
+<DD>can be used to extract the <CODE>char*</CODE> char array. This
+coercion is useful for sending a String as an argument to any
+function expecting a <CODE>const char*</CODE> argument (like
+<CODE>atoi</CODE>, and <CODE>File::open</CODE>). This operator must be
+used with care, since the conversion returns a pointer
+to <CODE>String</CODE> internals without copying the characters:
+The resulting <CODE>(char*)</CODE> is only valid until
+the next String operation, and you must not modify it.
+(The conversion is defined to return a const
+value so that GNU C++ will produce warning and/or error
+messages if changes are attempted.)
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC35" HREF="libgpp_toc.html#SEC35">The Integer class.</A></H1>
+<P>
+The <CODE>Integer</CODE> class provides multiple precision integer arithmetic
+facilities. Some representation details are discussed in the
+Representation section.
+<P>
+<CODE>Integers</CODE> may be up to <CODE>b * ((1 &#60;&#60; b) - 1)</CODE> bits long, where
+<CODE>b</CODE> is the number of bits per short (typically 1048560 bits when
+<CODE>b = 16</CODE>). The implementation assumes that a <CODE>long</CODE> is at least
+twice as long as a <CODE>short</CODE>. This assumption hides beneath almost all
+primitive operations, and would be very difficult to change. It also relies
+on correct behavior of <EM>unsigned</EM> arithmetic operations.
+<P>
+Some of the arithmetic algorithms are very loosely based on those
+provided in the MIT Scheme <TT>`bignum.c'</TT> release, which is
+Copyright (c) 1987 Massachusetts Institute of Technology. Their use
+here falls within the provisions described in the Scheme release.
+<P>
+Integers may be constructed in the following ways:
+<DL COMPACT>
+<P>
+<DT><CODE>Integer x;</CODE>
+<DD>Declares an uninitialized Integer.
+<P>
+<DT><CODE>Integer x = 2; Integer y(2);</CODE>
+<DD>Set x and y to the Integer value 2;
+<P>
+<DT><CODE>Integer u(x); Integer v = x;</CODE>
+<DD>Set u and v to the same value as x.
+<P>
+</DL>
+<P>
+<A NAME="IDX1"></A>
+<U>Method:</U> long <B>Integer::as_long()</B> <I>const</I><P>
+Used to coerce an <CODE>Integer</CODE> back into longs via the <CODE>long</CODE>
+coercion operator. If the Integer cannot fit into a long, this returns
+MINLONG or MAXLONG (depending on the sign) where MINLONG is the most
+negative, and MAXLONG is the most positive representable long.
+<P>
+<A NAME="IDX2"></A>
+<U>Method:</U> int <B>Integer::fits_in_long()</B> <I>const</I><P>
+Returns true iff the <CODE>Integer</CODE> is <CODE>&#60; MAXLONG</CODE> and <CODE>&#62; MINLONG</CODE>.
+<P>
+<A NAME="IDX3"></A>
+<U>Method:</U> double <B>Integer::as_double()</B> <I>const</I><P>
+Coerce the <CODE>Integer</CODE> to a <CODE>double</CODE>, with potential
+loss of precision.
+<CODE>+/-HUGE</CODE> is returned if the Integer cannot fit into a double.
+<P>
+<A NAME="IDX4"></A>
+<U>Method:</U> int <B>Integer::fits_in_double()</B> <I>const</I><P>
+Returns true iff the <CODE>Integer</CODE> can fit into a double.
+<P>
+All of the usual arithmetic operators are provided (<CODE>+, -, *, /,
+%, +=, ++, -=, --, *=, /=, %=, ==, !=, &#60;, &#60;=, &#62;, &#62;=</CODE>). All operators
+support special versions for mixed arguments of Integers and regular
+C++ longs in order to avoid useless coercions, as well as to allow
+automatic promotion of shorts and ints to longs, so that they may be
+applied without additional Integer coercion operators. The only
+operators that behave differently than the corresponding int or long
+operators are <CODE>++</CODE> and <CODE>--</CODE>. Because C++ does not
+distinguish prefix from postfix application, these are declared as
+<CODE>void</CODE> operators, so that no confusion can result from applying
+them as postfix. Thus, for Integers x and y, <CODE> ++x; y = x; </CODE> is
+correct, but <CODE> y = ++x; </CODE> and <CODE> y = x++; </CODE> are not.
+<P>
+Bitwise operators (<CODE>~</CODE>, <CODE>&#38;</CODE>, <CODE>|</CODE>, <CODE>^</CODE>, <CODE>&#60;&#60;</CODE>,
+<CODE>&#62;&#62;</CODE>, <CODE>&#38;=</CODE>, <CODE>|=</CODE>, <CODE>^=</CODE>, <CODE>&#60;&#60;=</CODE>, <CODE>&#62;&#62;=</CODE>) are
+also provided. However, these operate on sign-magnitude, rather than
+two's complement representations. The sign of the result is arbitrarily
+taken as the sign of the first argument. For example, <CODE>Integer(-3)
+&#38; Integer(5)</CODE> returns <CODE>Integer(-1)</CODE>, not -3, as it would using
+two's complement. Also, <CODE>~</CODE>, the complement operator, complements
+only those bits needed for the representation. Bit operators are also
+provided in the BitSet and BitString classes. One of these classes
+should be used instead of Integers when the results of bit manipulations
+are not interpreted numerically.
+<P>
+The following utility functions are also provided. (All arguments
+are Integers unless otherwise noted).
+<P>
+<A NAME="IDX5"></A>
+<U>Function:</U> void <B>divide(const</B> <I>Integer& <VAR>x</VAR>, const Integer& <VAR>y</VAR>, Integer& <VAR>q</VAR>, Integer& <VAR>r</VAR>)</I><P>
+Sets <VAR>q</VAR> to the quotient and <VAR>r</VAR> to the remainder of <VAR>x</VAR> and <VAR>y</VAR>.
+(<VAR>q</VAR> and <VAR>r</VAR> are returned by reference).
+<P>
+<A NAME="IDX6"></A>
+<U>Function:</U> Integer <B>pow(const</B> <I>Integer& <VAR>x</VAR>, const Integer& <VAR>p</VAR>)</I><P>
+Returns <VAR>x</VAR> raised to the power <VAR>p</VAR>.
+<P>
+<A NAME="IDX7"></A>
+<U>Function:</U> Integer <B>Ipow(long</B> <I><VAR>x</VAR>, long <VAR>p</VAR>)</I><P>
+Returns <VAR>x</VAR> raised to the power <VAR>p</VAR>.
+<P>
+<A NAME="IDX8"></A>
+<U>Function:</U> Integer <B>gcd(const</B> <I>Integer& <VAR>x</VAR>, const Integer& <VAR>p</VAR>)</I><P>
+Returns the greatest common divisor of <VAR>x</VAR> and <VAR>y</VAR>.
+<P>
+<A NAME="IDX9"></A>
+<U>Function:</U> Integer <B>lcm(const</B> <I>Integer& <VAR>x</VAR>, const Integer& <VAR>p</VAR>)</I><P>
+Returns the least common multiple of <VAR>x</VAR> and <VAR>y</VAR>.
+<P>
+<A NAME="IDX10"></A>
+<U>Function:</U> Integer <B>abs(const</B> <I>Integer& <VAR>x</VAR></I><P>
+Returns the absolute value of <VAR>x</VAR>.
+<P>
+<A NAME="IDX11"></A>
+<U>Method:</U> void <B>Integer::negate()</B><P>
+Negates <CODE>this</CODE> in place.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Integer sqr(x)</CODE>
+<DD>returns x * x;
+<P>
+<DT><CODE>Integer sqrt(x)</CODE>
+<DD>returns the floor of the square root of x.
+<P>
+<DT><CODE>long lg(x);</CODE>
+<DD>returns the floor of the base 2 logarithm of abs(x)
+<P>
+<DT><CODE>int sign(x)</CODE>
+<DD>returns -1 if x is negative, 0 if zero, else +1.
+Using <CODE>if (sign(x) == 0)</CODE> is a generally faster method
+of testing for zero than using relational operators.
+<P>
+<DT><CODE>int even(x)</CODE>
+<DD>returns true if x is an even number
+<P>
+<DT><CODE>int odd(x)</CODE>
+<DD>returns true if x is an odd number.
+<P>
+<DT><CODE>void setbit(Integer&#38; x, long b)</CODE>
+<DD>sets the b'th bit (counting right-to-left from zero) of x to 1.
+<P>
+<DT><CODE>void clearbit(Integer&#38; x, long b)</CODE>
+<DD>sets the b'th bit of x to 0.
+<P>
+<DT><CODE>int testbit(Integer x, long b)</CODE>
+<DD>returns true if the b'th bit of x is 1.
+<P>
+<DT><CODE>Integer atoI(char* asciinumber, int base = 10);</CODE>
+<DD>converts the base base char* string into its Integer form.
+<P>
+<DT><CODE>void Integer::printon(ostream&#38; s, int base = 10, int width = 0);</CODE>
+<DD>prints the ascii string value of <CODE>(*this)</CODE> as a base <CODE>base</CODE>
+number, in field width at least <CODE>width</CODE>.
+<P>
+<DT><CODE>ostream &#60;&#60; x;</CODE>
+<DD>prints x in base ten format.
+<P>
+<DT><CODE>istream &#62;&#62; x;</CODE>
+<DD>reads x as a base ten number.
+<P>
+<DT><CODE>int compare(Integer x, Integer y)</CODE>
+<DD>returns a negative number if x&#60;y, zero if x==y, or positive if x&#62;y.
+<P>
+<DT><CODE>int ucompare(Integer x, Integer y)</CODE>
+<DD>like compare, but performs unsigned comparison.
+<P>
+<DT><CODE>add(x, y, z)</CODE>
+<DD>A faster way to say z = x + y.
+<P>
+<DT><CODE>sub(x, y, z)</CODE>
+<DD>A faster way to say z = x - y.
+<P>
+<DT><CODE>mul(x, y, z)</CODE>
+<DD>A faster way to say z = x * y.
+<P>
+<DT><CODE>div(x, y, z)</CODE>
+<DD>A faster way to say z = x / y.
+<P>
+<DT><CODE>mod(x, y, z)</CODE>
+<DD>A faster way to say z = x % y.
+<P>
+<DT><CODE>and(x, y, z)</CODE>
+<DD>A faster way to say z = x &#38; y.
+<P>
+<DT><CODE>or(x, y, z)</CODE>
+<DD>A faster way to say z = x | y.
+<P>
+<DT><CODE>xor(x, y, z)</CODE>
+<DD>A faster way to say z = x ^ y.
+<P>
+<DT><CODE>lshift(x, y, z)</CODE>
+<DD>A faster way to say z = x &#60;&#60; y.
+<P>
+<DT><CODE>rshift(x, y, z)</CODE>
+<DD>A faster way to say z = x &#62;&#62; y.
+<P>
+<DT><CODE>pow(x, y, z)</CODE>
+<DD>A faster way to say z = pow(x, y).
+<P>
+<DT><CODE>complement(x, z)</CODE>
+<DD>A faster way to say z = ~x.
+<P>
+<DT><CODE>negate(x, z)</CODE>
+<DD>A faster way to say z = -x.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC36" HREF="libgpp_toc.html#SEC36">The Rational Class</A></H1>
+<P>
+Class <CODE>Rational</CODE> provides multiple precision rational
+number arithmetic. All rationals are maintained in simplest
+form (i.e., with the numerator and denominator relatively
+prime, and with the denominator strictly positive).
+Rational arithmetic and relational operators are provided
+(<CODE>+, -, *, /, +=, -=, *=, /=, ==, !=, &#60;, &#60;=, &#62;, &#62;=</CODE>).
+Operations resulting in a rational number with zero denominator
+trigger an exception.
+<P>
+Rationals may be constructed and used in the following ways:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Rational x;</CODE>
+<DD>Declares an uninitialized Rational.
+<P>
+<DT><CODE>Rational x = 2; Rational y(2);</CODE>
+<DD>Set x and y to the Rational value 2/1;
+<P>
+<DT><CODE>Rational x(2, 3);</CODE>
+<DD>Sets x to the Rational value 2/3;
+<P>
+<DT><CODE>Rational x = 1.2;</CODE>
+<DD>Sets x to a Rational value close to 1.2. Any double precision value
+may be used to construct a Rational. The Rational will possess
+exactly as much precision as the double. Double values that do
+not have precise floating point equivalents (like 1.2) produce
+similarly imprecise rational values.
+<P>
+<DT><CODE>Rational x(Integer(123), Integer(4567));</CODE>
+<DD>Sets x to the Rational value 123/4567.
+<P>
+<DT><CODE>Rational u(x); Rational v = x;</CODE>
+<DD>Set u and v to the same value as x.
+<P>
+<DT><CODE>double(Rational x)</CODE>
+<DD>A Rational may be coerced to a double with potential
+loss of precision. +/-HUGE is returned if it will not fit.
+<P>
+<DT><CODE>Rational abs(x)</CODE>
+<DD>returns the absolute value of x.
+<P>
+<DT><CODE>void x.negate()</CODE>
+<DD>negates x.
+<P>
+<DT><CODE>void x.invert()</CODE>
+<DD>sets x to 1/x.
+<P>
+<DT><CODE>int sign(x)</CODE>
+<DD>returns 0 if x is zero, 1 if positive, and -1 if negative.
+<P>
+<DT><CODE>Rational sqr(x)</CODE>
+<DD>returns x * x.
+<P>
+<DT><CODE>Rational pow(x, Integer y)</CODE>
+<DD>returns x to the y power.
+<P>
+<DT><CODE>Integer x.numerator()</CODE>
+<DD>returns the numerator.
+<P>
+<DT><CODE>Integer x.denominator()</CODE>
+<DD>returns the denominator.
+<P>
+<DT><CODE>Integer floor(x)</CODE>
+<DD>returns the greatest Integer less than x.
+<P>
+<DT><CODE>Integer ceil(x)</CODE>
+<DD>returns the least Integer greater than x.
+<P>
+<DT><CODE>Integer trunc(x)</CODE>
+<DD>returns the Integer part of x.
+<P>
+<DT><CODE>Integer round(x)</CODE>
+<DD>returns the nearest Integer to x.
+<P>
+<DT><CODE>int compare(x, y)</CODE>
+<DD>returns a negative, zero, or positive number signifying whether x is
+less than, equal to, or greater than y.
+<P>
+<DT><CODE>ostream &#60;&#60; x;</CODE>
+<DD>prints x in the form num/den, or just num if the denominator is one.
+<P>
+<DT><CODE>istream &#62;&#62; x;</CODE>
+<DD>reads x in the form num/den, or just num in which case the
+denominator is set to one.
+<P>
+<DT><CODE>add(x, y, z)</CODE>
+<DD>A faster way to say z = x + y.
+<P>
+<DT><CODE>sub(x, y, z)</CODE>
+<DD>A faster way to say z = x - y.
+<P>
+<DT><CODE>mul(x, y, z)</CODE>
+<DD>A faster way to say z = x * y.
+<P>
+<DT><CODE>div(x, y, z)</CODE>
+<DD>A faster way to say z = x / y.
+<P>
+<DT><CODE>pow(x, y, z)</CODE>
+<DD>A faster way to say z = pow(x, y).
+<P>
+<DT><CODE>negate(x, z)</CODE>
+<DD>A faster way to say z = -x.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC37" HREF="libgpp_toc.html#SEC37">The Complex class.</A></H1>
+<P>
+Class <CODE>Complex</CODE> is implemented in a way similar to that
+described by Stroustrup. In keeping with libg++ conventions,
+the class is named <CODE>Complex</CODE>, not <CODE>complex</CODE>.
+Complex arithmetic and relational operators are provided
+(<CODE>+, -, *, /, +=, -=, *=, /=, ==, !=</CODE>).
+Attempted division by (0, 0) triggers an exception.
+<P>
+Complex numbers may be constructed and used in the following ways:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Complex x;</CODE>
+<DD>Declares an uninitialized Complex.
+<P>
+<DT><CODE>Complex x = 2; Complex y(2.0);</CODE>
+<DD>Set x and y to the Complex value (2.0, 0.0);
+<P>
+<DT><CODE>Complex x(2, 3);</CODE>
+<DD>Sets x to the Complex value (2, 3);
+<P>
+<DT><CODE>Complex u(x); Complex v = x;</CODE>
+<DD>Set u and v to the same value as x.
+<P>
+<DT><CODE>double real(Complex&#38; x);</CODE>
+<DD>returns the real part of x.
+<P>
+<DT><CODE>double imag(Complex&#38; x);</CODE>
+<DD>returns the imaginary part of x.
+<P>
+<DT><CODE>double abs(Complex&#38; x);</CODE>
+<DD>returns the magnitude of x.
+<P>
+<DT><CODE>double norm(Complex&#38; x);</CODE>
+<DD>returns the square of the magnitude of x.
+<P>
+<DT><CODE>double arg(Complex&#38; x);</CODE>
+<DD>returns the argument (amplitude) of x.
+<P>
+<DT><CODE>Complex polar(double r, double t = 0.0);</CODE>
+<DD>returns a Complex with abs of r and arg of t.
+<P>
+<DT><CODE>Complex conj(Complex&#38; x);</CODE>
+<DD>returns the complex conjugate of x.
+<P>
+<DT><CODE>Complex cos(Complex&#38; x);</CODE>
+<DD>returns the complex cosine of x.
+<P>
+<DT><CODE>Complex sin(Complex&#38; x);</CODE>
+<DD>returns the complex sine of x.
+<P>
+<DT><CODE>Complex cosh(Complex&#38; x);</CODE>
+<DD>returns the complex hyperbolic cosine of x.
+<P>
+<DT><CODE>Complex sinh(Complex&#38; x);</CODE>
+<DD>returns the complex hyperbolic sine of x.
+<P>
+<DT><CODE>Complex exp(Complex&#38; x);</CODE>
+<DD>returns the exponential of x.
+<P>
+<DT><CODE>Complex log(Complex&#38; x);</CODE>
+<DD>returns the natural log of x.
+<P>
+<DT><CODE>Complex pow(Complex&#38; x, long p);</CODE>
+<DD>returns x raised to the p power.
+<P>
+<DT><CODE>Complex pow(Complex&#38; x, Complex&#38; p);</CODE>
+<DD>returns x raised to the p power.
+<P>
+<DT><CODE>Complex sqrt(Complex&#38; x);</CODE>
+<DD>returns the square root of x.
+<P>
+<DT><CODE>ostream &#60;&#60; x;</CODE>
+<DD>prints x in the form (re, im).
+<P>
+<DT><CODE>istream &#62;&#62; x;</CODE>
+<DD>reads x in the form (re, im), or just (re) or re in which case the
+imaginary part is set to zero.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC38" HREF="libgpp_toc.html#SEC38">Fixed precision numbers</A></H1>
+<P>
+Classes <CODE>Fix16</CODE>, <CODE>Fix24</CODE>, <CODE>Fix32</CODE>, and <CODE>Fix48</CODE>
+support operations on 16, 24, 32, or 48 bit quantities that are
+considered as real numbers in the range [-1, +1). Such numbers are
+often encountered in digital signal processing applications. The classes
+may be be used in isolation or together. Class <CODE>Fix32</CODE>
+operations are entirely self-contained. Class <CODE>Fix16</CODE> operations
+are self-contained except that the multiplication operation <CODE>Fix16
+* Fix16</CODE> returns a <CODE>Fix32</CODE>. <CODE>Fix24</CODE> and <CODE>Fix48</CODE> are
+similarly related.
+<P>
+The standard arithmetic and relational operations are supported
+(<CODE>=</CODE>, <CODE>+</CODE>, <CODE>-</CODE>, <CODE>*</CODE>, <CODE>/</CODE>, <CODE>&#60;&#60;</CODE>, <CODE>&#62;&#62;</CODE>,
+<CODE>+=</CODE>, <CODE>-=</CODE>, <CODE>*=</CODE>, <CODE>/=</CODE>, <CODE>&#60;&#60;=</CODE>, <CODE>&#62;&#62;=</CODE>,
+<CODE>==</CODE>, <CODE>!=</CODE>, <CODE>&#60;</CODE>, <CODE>&#60;=</CODE>, <CODE>&#62;</CODE>, <CODE>&#62;=</CODE>).
+All operations include provisions for special handling in cases where
+the result exceeds +/- 1.0. There are two cases that may be handled
+separately: "overflow" where the results of addition and subtraction
+operations go out of range, and all other "range errors" in which
+resulting values go off-scale (as with division operations, and
+assignment or initialization with off-scale values). In signal
+processing applications, it is often useful to handle these two cases
+differently. Handlers take one argument, a reference to the integer
+mantissa of the offending value, which may then be manipulated. In
+cases of overflow, this value is the result of the (integer) arithmetic
+computation on the mantissa; in others it is a fully saturated (i.e.,
+most positive or most negative) value. Handling may be reset to any of
+several provided functions or any other user-defined function via
+<CODE>set_overflow_handler</CODE> and <CODE>set_range_error_handler</CODE>. The
+provided functions for <CODE>Fix16</CODE> are as follows (corresponding
+functions are also supported for the others).
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Fix16_overflow_saturate</CODE>
+<DD>The default overflow handler. Results are "saturated": positive results
+are set to the largest representable value (binary 0.111111...), and
+negative values to -1.0.
+<P>
+<DT><CODE>Fix16_ignore</CODE>
+<DD>Performs no action. For overflow, this will allow addition and
+subtraction operations to "wrap around" in the same manner
+as integer arithmetic, and for saturation, will leave values saturated.
+<P>
+<DT><CODE>Fix16_overflow_warning_saturate</CODE>
+<DD>Prints a warning message on standard error, then saturates the results.
+<P>
+<DT><CODE>Fix16_warning</CODE>
+<DD>The default range_error handler. Prints a warning message
+on standard error; otherwise leaving the argument unmodified.
+<P>
+<DT><CODE>Fix16_abort</CODE>
+<DD>prints an error message on standard error, then aborts execution.
+<P>
+</DL>
+<P>
+In addition to arithmetic operations, the following are provided:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Fix16 a = 0.5;</CODE>
+<DD>Constructs fixed precision objects from double precision values.
+Attempting to initialize to a value outside the range invokes
+the range_error handler, except, as a convenience,
+initialization to 1.0 sets the variable to the most positive
+representable value (binary 0.1111111...) without invoking the handler.
+<P>
+<DT><CODE>short&#38; mantissa(a); long&#38; mantissa(b);</CODE>
+<DD>return a * pow(2, 15) or b * pow(2, 31) as an integer. These
+are returned by reference, to enable "manual" data manipulation.
+<P>
+<DT><CODE>double value(a); double value(b);</CODE>
+<DD>return a or b as floating point numbers.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC39" HREF="libgpp_toc.html#SEC39">Classes for Bit manipulation</A></H1>
+<P>
+libg++ provides several different classes supporting the use
+and manipulation of collections of bits in different ways.
+<P>
+<UL>
+<P>
+<LI>
+Class <CODE>Integer</CODE> provides "integer" semantics. It supports
+manipulation of bits in ways that are often useful when treating bit arrays
+as numerical (integer) quantities. This class is described elsewhere.
+<P>
+<LI>
+Class <CODE>BitSet</CODE> provides "set" semantics. It supports operations
+useful when treating collections of bits as representing potentially
+infinite sets of integers.
+<P>
+<LI>
+Class <CODE>BitSet32</CODE> supports fixed-length BitSets holding exactly
+32 bits.
+<P>
+<LI>
+Class <CODE>BitSet256</CODE> supports fixed-length BitSets holding exactly
+256 bits.
+<P>
+<LI>
+Class <CODE>BitString</CODE> provides "string" (or "vector") semantics.
+It supports operations useful when treating collections of bits as
+strings of zeros and ones.
+<P>
+</UL>
+<P>
+These classes also differ in the following ways:
+<P>
+<UL>
+<P>
+<LI>
+BitSets are logically infinite. Their space is dynamically altered to
+adjust to the smallest number of consecutive bits actually required to
+represent the sets. Integers also have this property. BitStrings are
+logically finite, but their sizes are internally dynamically managed to
+maintain proper length. This means that, for example, BitStrings are
+concatenatable while BitSets and Integers are not.
+<P>
+<LI>
+BitSet32 and BitSet256 have precisely the same properties as BitSets,
+except that they use constant fixed length bit vectors.
+<P>
+<LI>
+While all classes support basic unary and binary operations <CODE>~, &#38;,
+|, ^, -</CODE>, the semantics differ. BitSets perform bit operations that
+precisely mirror those for infinite sets. For example, complementing an
+empty BitSet returns one representing an infinite number of set bits.
+Operations on BitStrings and Integers operate only on those bits
+actually present in the representation. For BitStrings and Integers,
+the the <CODE>&#38;</CODE> operation returns a BitString with a length equal to
+the minimum length of the operands, and <CODE>|, ^</CODE> return one with
+length of the maximum.
+<P>
+<LI>
+Only BitStrings support substring extraction and bit pattern matching.
+<P>
+</UL>
+<P>
+<H2><A NAME="SEC40" HREF="libgpp_toc.html#SEC40">BitSet</A></H2>
+<P>
+BitSets are objects that contain logically infinite sets of nonnegative
+integers. Representational details are discussed in the Representation
+chapter. Because they are logically infinite, all BitSets possess a
+trailing, infinitely replicated 0 or 1 bit, called the "virtual bit", and
+indicated via 0* or 1*.
+<P>
+BitSet32 and BitSet256 have they same properties, except they are
+of fixed length, and thus have no virtual bit.
+<P>
+BitSets may be constructed as follows:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>BitSet a;</CODE>
+<DD>declares an empty BitSet.
+<P>
+<DT><CODE>BitSet a = atoBitSet("001000");</CODE>
+<DD>sets a to the BitSet 0010*, reading left-to-right. The "0*"
+indicates that the set ends with an infinite number of zero
+(clear) bits.
+<P>
+<DT><CODE>BitSet a = atoBitSet("00101*");</CODE>
+<DD>sets a to the BitSet 00101*, where "1*" means that the set ends
+with an infinite number of one (set) bits.
+<P>
+<DT><CODE>BitSet a = longtoBitSet((long)23);</CODE>
+<DD>sets a to the BitSet 111010*, the binary representation of decimal 23.
+<P>
+<DT><CODE>BitSet a = utoBitSet((unsigned)23);</CODE>
+<DD>sets a to the BitSet 111010*, the binary representation of decimal 23.
+<P>
+</DL>
+<P>
+The following functions and operators are provided (Assume the
+declaration of BitSets a = 0011010*, b = 101101*, throughout, as
+examples).
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>~a</CODE>
+<DD>returns the complement of a, or 1100101* in this case.
+<P>
+<DT><CODE>a.complement()</CODE>
+<DD>sets a to ~a.
+<P>
+<DT><CODE>a &#38; b; a &#38;= b;</CODE>
+<DD>returns a intersected with b, or 0011010*.
+<P>
+<DT><CODE>a | b; a |= b;</CODE>
+<DD>returns a unioned with b, or 1011111*.
+<P>
+<DT><CODE>a - b; a -= b;</CODE>
+<DD>returns the set difference of a and b, or 000010*.
+<P>
+<DT><CODE>a ^ b; a ^= b;</CODE>
+<DD>returns the symmetric difference of a and b, or 1000101*.
+<P>
+<DT><CODE>a.empty()</CODE>
+<DD>returns true if a is an empty set.
+<P>
+<DT><CODE>a == b;</CODE>
+<DD>returns true if a and b contain the same set.
+<P>
+<DT><CODE>a &#60;= b;</CODE>
+<DD>returns true if a is a subset of b.
+<P>
+<DT><CODE>a &#60; b;</CODE>
+<DD>returns true if a is a proper subset of b;
+<P>
+<DT><CODE>a != b; a &#62;= b; a &#62; b;</CODE>
+<DD>are the converses of the above.
+<P>
+<DT><CODE>a.set(7)</CODE>
+<DD>sets the 7th (counting from 0) bit of a, setting a to 001111010*
+<P>
+<DT><CODE>a.clear(2)</CODE>
+<DD>clears the 2nd bit bit of a, setting a to 00011110*
+<P>
+<DT><CODE>a.clear()</CODE>
+<DD>clears all bits of a;
+<P>
+<DT><CODE>a.set()</CODE>
+<DD>sets all bits of a;
+<P>
+<DT><CODE>a.invert(0)</CODE>
+<DD>complements the 0th bit of a, setting a to 10011110*
+<P>
+<DT><CODE>a.set(0,1)</CODE>
+<DD>sets the 0th through 1st bits of a, setting a to 110111110*
+The two-argument versions of clear and invert are similar.
+<P>
+<DT><CODE>a.test(3)</CODE>
+<DD>returns true if the 3rd bit of a is set.
+<P>
+<DT><CODE>a.test(3, 5)</CODE>
+<DD>returns true if any of bits 3 through 5 are set.
+<P>
+<DT><CODE>int i = a[3]; a[3] = 0;</CODE>
+<DD>The subscript operator allows bits to be inspected and changed
+via standard subscript semantics, using a friend class BitSetBit.
+The use of the subscript operator a[i] rather than a.test(i)
+requires somewhat greater overhead.
+<P>
+<DT><CODE>a.first(1) or a.first()</CODE>
+<DD>returns the index of the first set bit of a (2 in this case),
+or -1 if no bits are set.
+<P>
+<DT><CODE>a.first(0)</CODE>
+<DD>returns the index of the first clear bit of a (0 in this case),
+or -1 if no bits are clear.
+<P>
+<DT><CODE>a.next(2, 1) or a.next(2)</CODE>
+<DD>returns the index of the next bit after position 2 that is set (3
+in this case) or -1. <CODE>first</CODE> and <CODE>next</CODE> may be used as
+iterators, as in
+<CODE>for (int i = a.first(); i &#62;= 0; i = a.next(i))...</CODE>.
+<P>
+<DT><CODE>a.last(1)</CODE>
+<DD>returns the index of the rightmost set bit, or -1 if there or no set
+bits or all set bits.
+<P>
+<DT><CODE>a.prev(3, 0)</CODE>
+<DD>returns the index of the previous clear bit before position 3.
+<P>
+<DT><CODE>a.count(1)</CODE>
+<DD>returns the number of set bits in a, or -1 if there are
+an infinite number.
+<P>
+<DT><CODE>a.virtual_bit()</CODE>
+<DD>returns the trailing (infinitely replicated) bit of a.
+<P>
+<DT><CODE>a = atoBitSet("ababX", 'a', 'b', 'X');</CODE>
+<DD>converts the char* string into a bitset, with 'a' denoting false,
+'b' denoting true, and 'X' denoting infinite replication.
+<P>
+<DT><CODE>a.printon(cout, '-', '.', 0)</CODE>
+<DD>prints <CODE>a</CODE> to <CODE>cout</CODE> represented with
+<CODE>'-'</CODE> for falses, <CODE>'.'</CODE> for trues, and no replication marker.
+<P>
+<DT><CODE>cout &#60;&#60; a</CODE>
+<DD>prints <CODE>a</CODE> to <CODE>cout</CODE> (representing lases by <CODE>'f'</CODE>,
+trues by <CODE>'t'</CODE>, and using <CODE>'*'</CODE> as the replication marker).
+<P>
+<DT><CODE>diff(x, y, z)</CODE>
+<DD>A faster way to say z = x - y.
+<P>
+<DT><CODE>and(x, y, z)</CODE>
+<DD>A faster way to say z = x &#38; y.
+<P>
+<DT><CODE>or(x, y, z)</CODE>
+<DD>A faster way to say z = x | y.
+<P>
+<DT><CODE>xor(x, y, z)</CODE>
+<DD>A faster way to say z = x ^ y.
+<P>
+<DT><CODE>complement(x, z)</CODE>
+<DD>A faster way to say z = ~x.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC41" HREF="libgpp_toc.html#SEC41">BitString</A></H2>
+<P>
+BitStrings are objects that contain arbitrary-length strings of
+zeroes and ones. BitStrings possess some features that make them
+behave like sets, and others that behave as strings. They are
+useful in applications (such as signature-based algorithms) where
+both capabilities are needed. Representational details are
+discussed in the Representation chapter. Most capabilities are
+exact analogs of those supported in the BitSet and String
+classes. A BitSubString is used with substring operations along
+the same lines as the String SubString class. A BitPattern class
+is used for masked bit pattern searching.
+<P>
+Only a default constructor is supported. The declaration
+<CODE>BitString a;</CODE> initializes a to be an empty BitString.
+BitStrings may often be initialized via <CODE>atoBitString</CODE>
+and <CODE>longtoBitString</CODE>.
+<P>
+Set operations (<CODE> ~, complement, &#38;, &#38;=, |, |=, -, ^, ^=</CODE>)
+behave just as the BitSet versions, except that there is no
+"virtual bit": complementing complements only those bits in the
+BitString, and all binary operations across unequal length
+BitStrings assume a virtual bit of zero. The <CODE>&#38;</CODE> operation
+returns a BitString with a length equal to the minimum length of
+the operands, and <CODE>|, ^</CODE> return one with length of the
+maximum.
+<P>
+Set-based relational operations (<CODE>==, !=, &#60;=, &#60;, &#62;=, &#62;</CODE>)
+follow the same rules. A string-like lexicographic comparison
+function, <CODE>lcompare</CODE>, tests the lexicographic relation between
+two BitStrings. For example, lcompare(1100, 0101) returns 1,
+since the first BitString starts with 1 and the second with 0.
+<P>
+Individual bit setting, testing, and iterator operations
+(<CODE>set, clear, invert, test, first, next, last, prev</CODE>)
+are also like those for BitSets. BitStrings are automatically
+expanded when setting bits at positions greater than their
+current length.
+<P>
+The string-based capabilities are just as those for class String.
+BitStrings may be concatenated (<CODE>+, +=</CODE>), searched
+(<CODE>index, contains, matches</CODE>), and extracted into
+BitSubStrings (<CODE>before, at, after</CODE>) which may be assigned and
+otherwise manipulated. Other string-based utility functions
+(<CODE>reverse, common_prefix, common_suffix</CODE>) are also provided.
+These have the same capabilities and descriptions as those
+for Strings.
+<P>
+String-oriented operations can also be performed with a mask via
+class BitPattern. BitPatterns consist of two BitStrings, a
+pattern and a mask. On searching and matching, bits in the pattern
+that correspond to 0 bits in the mask are ignored. (The mask may
+be shorter than the pattern, in which case trailing mask bits are
+assumed to be 0). The pattern and mask are both public variables,
+and may be individually subjected to other bit operations.
+<P>
+Converting to char* and printing (<CODE>(atoBitString,
+atoBitPattern, printon, ostream &#60;&#60;)</CODE>) are also as in BitSets,
+except that no virtual bit is used, and an 'X' in a BitPattern means
+that the pattern bit is masked out.
+<P>
+The following features are unique to BitStrings.
+<P>
+Assume declarations of BitString a = atoBitString("01010110") and b =
+atoBitSTring("1101").
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>a = b + c;</CODE>
+<DD>Sets a to the concatenation of b and c;
+<P>
+<DT><CODE>a = b + 0; a = b + 1;</CODE>
+<DD>sets a to b, appended with a zero (one).
+<P>
+<DT><CODE>a += b;</CODE>
+<DD>appends b to a;
+<P>
+<DT><CODE>a += 0; a += 1;</CODE>
+<DD>appends a zero (one) to a.
+<P>
+<DT><CODE>a &#60;&#60; 2; a &#60;&#60;= 2</CODE>
+<DD>return a with 2 zeros prepended, setting a to 0001010110. (Note
+the necessary confusion of &#60;&#60; and &#62;&#62; operators. For consistency
+with the integer versions, &#60;&#60; shifts low bits to high, even though
+they are printed low bits first.)
+<P>
+<DT><CODE>a &#62;&#62; 3; a &#62;&#62;= 3</CODE>
+<DD>return a with the first 3 bits deleted, setting a to 10110.
+<P>
+<DT><CODE>a.left_trim(0)</CODE>
+<DD>deletes all 0 bits on the left of a, setting a to 1010110.
+<P>
+<DT><CODE>a.right_trim(0)</CODE>
+<DD>deletes all trailing 0 bits of a, setting a to 0101011.
+<P>
+<DT><CODE>cat(x, y, z)</CODE>
+<DD>A faster way to say z = x + y.
+<P>
+<DT><CODE>diff(x, y, z)</CODE>
+<DD>A faster way to say z = x - y.
+<P>
+<DT><CODE>and(x, y, z)</CODE>
+<DD>A faster way to say z = x &#38; y.
+<P>
+<DT><CODE>or(x, y, z)</CODE>
+<DD>A faster way to say z = x | y.
+<P>
+<DT><CODE>xor(x, y, z)</CODE>
+<DD>A faster way to say z = x ^ y.
+<P>
+<DT><CODE>lshift(x, y, z)</CODE>
+<DD>A faster way to say z = x &#60;&#60; y.
+<P>
+<DT><CODE>rshift(x, y, z)</CODE>
+<DD>A faster way to say z = x &#62;&#62; y.
+<P>
+<DT><CODE>complement(x, z)</CODE>
+<DD>A faster way to say z = ~x.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC42" HREF="libgpp_toc.html#SEC42">Random Number Generators and related classes</A></H1>
+<P>
+The two classes <CODE>RNG</CODE> and <CODE>Random</CODE> are used together to
+generate a variety of random number distributions. A distinction must
+be made between <EM>random number generators</EM>, implemented by class
+<CODE>RNG</CODE>, and <EM>random number distributions</EM>. A random number
+generator produces a series of randomly ordered bits. These bits can be
+used directly, or cast to other representations, such as a floating
+point value. A random number generator should produce a <EM>uniform</EM>
+distribution. A random number distribution, on the other hand, uses the
+randomly generated bits of a generator to produce numbers from a
+distribution with specific properties. Each instance of <CODE>Random</CODE>
+uses an instance of class <CODE>RNG</CODE> to provide the raw, uniform
+distribution used to produce the specific distribution. Several
+instances of <CODE>Random</CODE> classes can share the same instance of
+<CODE>RNG</CODE>, or each instance can use its own copy.
+<P>
+<H2><A NAME="SEC43" HREF="libgpp_toc.html#SEC43">RNG</A></H2>
+<P>
+Random distributions are constructed from members of class <CODE>RNG</CODE>,
+the actual random number generators. The <CODE>RNG</CODE> class contains no
+data; it only serves to define the interface to random number
+generators. The <CODE>RNG::asLong</CODE> member returns an unsigned long
+(typically 32 bits) of random bits. Applications that require a number
+of random bits can use this directly. More often, these random bits are
+transformed to a uniform random number:
+<P>
+<PRE>
+ //
+ // Return random bits converted to either a float or a double
+ //
+ float asFloat();
+ double asDouble();
+};
+</PRE>
+<P>
+using either <CODE>asFloat</CODE> or <CODE>asDouble</CODE>. It is intended that
+<CODE>asFloat</CODE> and <CODE>asDouble</CODE> return differing precisions;
+typically, <CODE>asDouble</CODE> will draw two random longwords and transform
+them into a legal <CODE>double</CODE>, while <CODE>asFloat</CODE> will draw a single
+longword and transform it into a legal <CODE>float</CODE>. These members are
+used by subclasses of the <CODE>Random</CODE> class to implement a variety of
+random number distributions.
+<P>
+<H2><A NAME="SEC44" HREF="libgpp_toc.html#SEC44">ACG</A></H2>
+<P>
+Class <CODE>ACG</CODE> is a variant of a Linear Congruential Generator
+(Algorithm M) described in Knuth, <EM>Art of Computer Programming, Vol
+III</EM>. This result is permuted with a Fibonacci Additive Congruential
+Generator to get good independence between samples. This is a very high
+quality random number generator, although it requires a fair amount of
+memory for each instance of the generator.
+<P>
+The <CODE>ACG::ACG</CODE> constructor takes two parameters: the seed and the
+size. The seed is any number to be used as an initial seed. The
+performance of the generator depends on having a distribution of bits
+through the seed. If you choose a number in the range of 0 to 31, a
+seed with more bits is chosen. Other values are deterministically
+modified to give a better distribution of bits. This provides a good
+random number generator while still allowing a sequence to be repeated
+given the same initial seed.
+<P>
+The <CODE>size</CODE> parameter determines the size of two tables used in the
+generator. The first table is used in the Additive Generator; see the
+algorithm in Knuth for more information. In general, this table is
+<CODE>size</CODE> longwords long. The default value, used in the algorithm in
+Knuth, gives a table of 220 bytes. The table size affects the period of
+the generators; smaller values give shorter periods and larger tables
+give longer periods. The smallest table size is 7 longwords, and the
+longest is 98 longwords. The <CODE>size</CODE> parameter also determines the
+size of the table used for the Linear Congruential Generator. This value
+is chosen implicitly based on the size of the Additive Congruential
+Generator table. It is two powers of two larger than the power of two
+that is larger than <CODE>size</CODE>. For example, if <CODE>size</CODE> is 7, the
+ACG table is 7 longwords and the LCG table is 128 longwords. Thus, the
+default size (55) requires 55 + 256 longwords, or 1244 bytes. The
+largest table requires 2440 bytes and the smallest table requires 100
+bytes. Applications that require a large number of generators or
+applications that aren't so fussy about the quality of the generator may
+elect to use the <CODE>MLCG</CODE> generator.
+<P>
+<H2><A NAME="SEC45" HREF="libgpp_toc.html#SEC45">MLCG</A></H2>
+<P>
+The <CODE>MLCG</CODE> class implements a <EM>Multiplicative Linear
+Congruential Generator</EM>. In particular, it is an implementation of the
+double MLCG described in <EM>"Efficient and Portable Combined Random
+Number Generators"</EM> by Pierre L'Ecuyer, appearing in
+<EM>Communications of the ACM, Vol. 31. No. 6</EM>. This generator has a
+fairly long period, and has been statistically analyzed to show that it
+gives good inter-sample independence.
+<P>
+The <CODE>MLCG::MLCG</CODE> constructor has two parameters, both of which are
+seeds for the generator. As in the <CODE>MLCG</CODE> generator, both seeds are
+modified to give a "better" distribution of seed digits. Thus, you can
+safely use values such as `0' or `1' for the seeds. The <CODE>MLCG</CODE>
+generator used much less state than the <CODE>ACG</CODE> generator; only two
+longwords (8 bytes) are needed for each generator.
+<P>
+<H2><A NAME="SEC46" HREF="libgpp_toc.html#SEC46">Random</A></H2>
+<P>
+A random number generator may be declared by first declaring a
+<CODE>RNG</CODE> and then a <CODE>Random</CODE>. For example, <CODE>ACG gen(10, 20);
+NegativeExpntl rnd (1.0, &#38;gen);</CODE> declares an additive congruential
+generator with seed 10 and table size 20, that is used to generate
+exponentially distributed values with mean of 1.0.
+<P>
+The virtual member <CODE>Random::operator()</CODE> is the common way of
+extracting a random number from a particular distribution. The base
+class, <CODE>Random</CODE> does not implement <CODE>operator()</CODE>. This is
+performed by each of the subclasses. Thus, given the above declaration
+of <CODE>rnd</CODE>, new random values may be obtained via, for example,
+<CODE>double next_exp_rand = rnd();</CODE> Currently, the following subclasses
+are provided.
+<P>
+<H2><A NAME="SEC47" HREF="libgpp_toc.html#SEC47">Binomial</A></H2>
+<P>
+The binomial distribution models successfully drawing items from
+a pool. The first parameter to the constructor, <CODE>n</CODE>, is the
+number of items in the pool, and the second parameter, <CODE>u</CODE>,
+is the probability of each item being successfully drawn. The
+member <CODE>asDouble</CODE> returns the number of samples drawn from
+the pool. Although it is not checked, it is assumed that
+<CODE>n&#62;0</CODE> and <CODE>0 &#60;= u &#60;= 1</CODE>. The remaining members allow
+you to read and set the parameters.
+<P>
+<H2><A NAME="SEC48" HREF="libgpp_toc.html#SEC48">Erlang</A></H2>
+<P>
+The <CODE>Erlang</CODE> class implements an Erlang distribution with
+mean <CODE>mean</CODE> and variance <CODE>variance</CODE>.
+<P>
+<H2><A NAME="SEC49" HREF="libgpp_toc.html#SEC49">Geometric</A></H2>
+<P>
+The <CODE>Geometric</CODE> class implements a discrete geometric
+distribution. The first parameter to the constructor,
+<CODE>mean</CODE>, is the mean of the distribution. Although it is not
+checked, it is assumed that <CODE>0 &#60;= mean &#60;= 1</CODE>.
+<CODE>Geometric()</CODE> returns the number of uniform random samples
+that were drawn before the sample was larger than <CODE>mean</CODE>.
+This quantity is always greater than zero.
+<P>
+<H2><A NAME="SEC50" HREF="libgpp_toc.html#SEC50">HyperGeometric</A></H2>
+<P>
+The <CODE>HyperGeometric</CODE> class implements the hypergeometric
+distribution. The first parameter to the constructor,
+<CODE>mean</CODE>, is the mean and the second, <CODE>variance</CODE>, is the
+variance. The remaining members allow you to inspect and change
+the mean and variance.
+<P>
+<H2><A NAME="SEC51" HREF="libgpp_toc.html#SEC51">NegativeExpntl</A></H2>
+<P>
+The <CODE>NegativeExpntl</CODE> class implements the negative
+exponential distribution. The first parameter to the constructor
+is the mean. The remaining members allow you to inspect and
+change the mean.
+<P>
+<H2><A NAME="SEC52" HREF="libgpp_toc.html#SEC52">Normal</A></H2>
+<P>
+The <CODE>Normal</CODE>class implements the normal distribution. The
+first parameter to the constructor, <CODE>mean</CODE>, is the mean and
+the second, <CODE>variance</CODE>, is the variance. The remaining
+members allow you to inspect and change the mean and variance.
+The <CODE>LogNormal</CODE> class is a subclass of <CODE>Normal</CODE>.
+<P>
+<H2><A NAME="SEC53" HREF="libgpp_toc.html#SEC53">LogNormal</A></H2>
+<P>
+The <CODE>LogNormal</CODE>class implements the logarithmic normal
+distribution. The first parameter to the constructor,
+<CODE>mean</CODE>, is the mean and the second, <CODE>variance</CODE>, is the
+variance. The remaining members allow you to inspect and change
+the mean and variance. The <CODE>LogNormal</CODE> class is a subclass
+of <CODE>Normal</CODE>.
+<P>
+<H2><A NAME="SEC54" HREF="libgpp_toc.html#SEC54">Poisson</A></H2>
+<P>
+The <CODE>Poisson</CODE> class implements the poisson distribution.
+The first parameter to the constructor is the mean. The
+remaining members allow you to inspect and change the mean.
+<P>
+<H2><A NAME="SEC55" HREF="libgpp_toc.html#SEC55">DiscreteUniform</A></H2>
+<P>
+The <CODE>DiscreteUniform</CODE> class implements a uniform random variable over
+the closed interval ranging from <CODE>[low..high]</CODE>. The first parameter
+to the constructor is <CODE>low</CODE>, and the second is <CODE>high</CODE>, although
+the order of these may be reversed. The remaining members allow you to
+inspect and change <CODE>low</CODE> and <CODE>high</CODE>.
+<P>
+<H2><A NAME="SEC56" HREF="libgpp_toc.html#SEC56">Uniform</A></H2>
+<P>
+The <CODE>Uniform</CODE> class implements a uniform random variable over the
+open interval ranging from <CODE>[low..high)</CODE>. The first parameter to
+the constructor is <CODE>low</CODE>, and the second is <CODE>high</CODE>, although
+the order of these may be reversed. The remaining members allow you to
+inspect and change <CODE>low</CODE> and <CODE>high</CODE>.<P>
+<H2><A NAME="SEC57" HREF="libgpp_toc.html#SEC57">Weibull</A></H2>
+<P>
+The <CODE>Weibull</CODE> class implements a weibull distribution with
+parameters <CODE>alpha</CODE> and <CODE>beta</CODE>. The first parameter to
+the class constructor is <CODE>alpha</CODE>, and the second parameter
+is <CODE>beta</CODE>. The remaining members allow you to inspect and
+change <CODE>alpha</CODE> and <CODE>beta</CODE>.
+<P>
+<H2><A NAME="SEC58" HREF="libgpp_toc.html#SEC58">RandomInteger</A></H2>
+<P>
+The <CODE>RandomInteger</CODE> class is <EM>not</EM> a subclass of Random,
+but a stand-alone integer-oriented class that is dependent on the
+RNG classes. RandomInteger returns random integers uniformly from
+the closed interval <CODE>[low..high]</CODE>. The first parameter to the
+constructor is <CODE>low</CODE>, and the second is <CODE>high</CODE>, although
+both are optional. The last argument is always a generator.
+Additional members allow you to inspect and change <CODE>low</CODE> and
+<CODE>high</CODE>. Random integers are generated using <CODE>asInt()</CODE> or
+<CODE>asLong()</CODE>. Operator syntax (<CODE>()</CODE>) is also available as a
+shorthand for <CODE>asLong()</CODE>. Because <CODE>RandomInteger</CODE> is often
+used in simulations for which uniform random integers are desired over
+a variety of ranges, <CODE>asLong()</CODE> and <CODE>asInt</CODE> have <CODE>high</CODE>
+as an optional argument. Using this optional argument produces a
+single value from the new range, but does not change the default
+range.
+<P>
+<H1><A NAME="SEC59" HREF="libgpp_toc.html#SEC59">Data Collection</A></H1>
+Libg++ currently provides two classes for <EM>data collection</EM>
+and analysis of the collected data.
+<P>
+<H2><A NAME="SEC60" HREF="libgpp_toc.html#SEC60">SampleStatistic</A></H2>
+<P>
+Class <CODE>SampleStatistic</CODE> provides a means of accumulating
+samples of <CODE>double</CODE> values and providing common sample statistics.
+<P>
+Assume declaration of <CODE>double x</CODE>.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>SampleStatistic a;</CODE>
+<DD>declares and initializes a.
+<P>
+<DT><CODE>a.reset();</CODE>
+<DD>re-initializes a.
+<P>
+<DT><CODE>a += x;</CODE>
+<DD>adds sample x.
+<P>
+<DT><CODE>int n = a.samples();</CODE>
+<DD>returns the number of samples.
+<P>
+<DT><CODE>x = a.mean;</CODE>
+<DD>returns the means of the samples.
+<P>
+<DT><CODE>x = a.var()</CODE>
+<DD>returns the sample variance of the samples.
+<P>
+<DT><CODE>x = a.stdDev()</CODE>
+<DD>returns the sample standard deviation of the samples.
+<P>
+<DT><CODE>x = a.min()</CODE>
+<DD>returns the minimum encountered sample.
+<P>
+<DT><CODE>x = a.max()</CODE>
+<DD>returns the maximum encountered sample.
+<P>
+<DT><CODE>x = a.confidence(int p)</CODE>
+<DD>returns the p-percent (0 &#60;= p &#60; 100) confidence interval.
+<P>
+<DT><CODE>x = a.confidence(double p)</CODE>
+<DD>returns the p-probability (0 &#60;= p &#60; 1) confidence interval.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC61" HREF="libgpp_toc.html#SEC61">SampleHistogram</A></H2>
+<P>
+Class <CODE>SampleHistogram</CODE> is a derived class of
+<CODE>SampleStatistic</CODE> that supports collection and display of samples
+in bucketed intervals. It supports the following in addition to
+<CODE>SampleStatisic</CODE> operations.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>SampleHistogram h(double lo, double hi, double width);</CODE>
+<DD>declares and initializes h to have buckets of size width from lo to hi.
+If the optional argument width is not specified, 10 buckets are
+created. The first bucket and also holds samples less than lo,
+and the last one holds samples greater than hi.
+<P>
+<DT><CODE>int n = h.similarSamples(x)</CODE>
+<DD>returns the number of samples in the same bucket as x.
+<P>
+<DT><CODE>int n = h.inBucket(int i)</CODE>
+<DD>returns the number of samples in bucket i.
+<P>
+<DT><CODE>int b = h.buckets()</CODE>
+<DD>returns the number of buckets.
+<P>
+<DT><CODE>h.printBuckets(ostream s)</CODE>
+<DD>prints bucket counts on ostream s.
+<P>
+<DT><CODE>double bound = h.bucketThreshold(int i)</CODE>
+<DD>returns the upper bound of bucket i.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC62" HREF="libgpp_toc.html#SEC62">Curses-based classes</A></H1>
+<P>
+The <CODE>CursesWindow</CODE> class is a repackaging of standard
+curses library features into a class. It relies on <TT>`curses.h'</TT>.
+<P>
+The supplied <TT>`curses.h'</TT> is a fairly conservative declaration
+of curses library features, and does not include features like
+"screen" or X-window support. It is, for the most part, an
+adaptation, rather than an improvement of C-based <TT>`curses.h'</TT>
+files. The only substantive changes are the declarations of
+many functions as inline functions rather than macros, which
+was done solely to allow overloading.
+<P>
+The <CODE>CursesWindow</CODE> class encapsulates curses window functions
+within a class. Only those functions that control windows are included:
+Terminal control functions and macros like <CODE>cbreak</CODE> are not part
+of the class. All <CODE>CursesWindows</CODE> member functions have names
+identical to the corresponding curses library functions, except that the
+"w" prefix is generally dropped. Descriptions of these functions may
+be found in your local curses library documentation.
+<P>
+A <CODE>CursesWindow</CODE> may be declared via
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>CursesWindow w(WINDOW* win)</CODE>
+<DD>attaches w to the existing WINDOW* win. This is constructor is normally
+used only in the following special case.
+<P>
+<DT><CODE>CursesWindow w(stdscr)</CODE>
+<DD>attaches w to the default curses library standard screen window.
+<P>
+<DT><CODE>CursesWindow w(int lines, int cols, int begin_y, int begin_x)</CODE>
+<DD>attaches to an allocated curses window with the indicated size and
+screen position.
+<P>
+<DT><CODE>CursesWindow sub(CursesWindow&#38; w,int l,int c,int by,int bx,char ar='a')</CODE>
+<DD>attaches to a subwindow of w created via the curses `subwin' command.
+If ar is sent as `r', the origin (by, bx) is relative to the parent
+window, else it is absolute.
+<P>
+</DL>
+<P>
+The class maintains a static counter that is used in order to
+automatically call the curses library <CODE>initscr</CODE> and <CODE>endscr</CODE>
+functions at the proper times. These need not, and should not be
+called "manually".
+<P>
+<CODE>CursesWindow</CODE>s maintain a tree of their subwindows. Upon
+destruction of a <CODE>CursesWindow</CODE>, all of their subwindows are
+also invalidated if they had not previously been destroyed.
+<P>
+It is possible to traverse trees of subwindows via the following
+member functions
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>CursesWindow* w.parent()</CODE>
+<DD>returns a pointer to the parent of the subwindow, or 0 if there is none.
+<P>
+<DT><CODE>CursesWindow* w.child()</CODE>
+<DD>returns the first child subwindow of the window, or 0 if there is none.
+<P>
+<DT><CODE>CursesWindow* w.sibling()</CODE>
+<DD>returns the next sibling of the subwindow, or 0 if there is none.
+<P>
+</DL>
+<P>
+For example, to call some function <CODE>visit</CODE> for all subwindows
+of a window, you could write
+<P>
+<PRE>
+
+void traverse(CursesWindow&#38; w)
+{
+ visit(w);
+ if (w.child() != 0) traverse(*w.child);
+ if (w.sibling() != 0) traverse(*w.sibling);
+}
+
+</PRE>
+
+<H1><A NAME="SEC63" HREF="libgpp_toc.html#SEC63">List classes</A></H1>
+<P>
+The files <TT>`g++-include/List.hP'</TT> and <TT>`g++-include/List.ccP'</TT>
+provide pseudo-generic Lisp-type List classes. These lists are homogeneous
+lists, more similar to lists in statically typed functional languages like
+ML than Lisp, but support operations very similar to those found in Lisp.
+Any particular kind of list class may be generated via the <CODE>genclass</CODE>
+shell command. However, the implementation assumes that the base class
+supports an equality operator <CODE>==</CODE>. All equality tests use the
+<CODE>==</CODE> operator, and are thus equivalent to the use of <CODE>equal</CODE>, not
+<CODE>eq</CODE> in Lisp.<P>
+All list nodes are created dynamically, and managed via reference counts.
+<CODE>List</CODE> variables are actually pointers to these list nodes.
+Lists may also be traversed via Pixes, as described in the section
+describing Pixes. See section <A HREF="libgpp.html#SEC15">Pseudo-indexes</A>
+<P>
+Supported operations are mirrored closely after those in Lisp. Generally,
+operations with functional forms are constructive, functional operations,
+while member forms (often with the same name) are sometimes
+procedural, possibly destructive operations.
+<P>
+As with Lisp, destructive operations are supported. Programmers
+are allowed to change head and tail fields in any fashion, creating
+circular structures and the like. However, again as with Lisp, some
+operations implicitly assume that they are operating on pure lists, and
+may enter infinite loops when presented with improper lists. Also, the
+reference-counting storage management facility may fail to reclaim
+unused circularly-linked nodes.
+<P>
+Several Lisp-like higher order functions are supported (e.g., <CODE>map</CODE>).
+Typedef declarations for the required functional forms are provided
+int the <TT>`.h'</TT> file.
+<P>
+For purposes of illustration, assume the specification of class
+<CODE>intList</CODE>. Common Lisp versions of supported operations are shown
+in brackets for comparison purposes.
+<P>
+<H2><A NAME="SEC64" HREF="libgpp_toc.html#SEC64">Constructors and assignment</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>intList a; [ (setq a nil) ]</CODE>
+<DD>Declares a to be a nil intList.
+<P>
+<DT><CODE>intList b(2); [ (setq b (cons 2 nil)) ]</CODE>
+<DD>Declares b to be an intList with a head value of 2, and a nil tail.
+<P>
+<DT><CODE>intList c(3, b); [ (setq c (cons 3 b)) ]</CODE>
+<DD>Declares c to be an intList with a head value of 3, and b as its tail.
+<P>
+<DT><CODE>b = a; [ (setq b a) ]</CODE>
+<DD>Sets b to be the same list as a.
+<P>
+</DL>
+<P>
+Assume the declarations of intLists a, b, and c in the following.
+See section <A HREF="libgpp.html#SEC15">Pseudo-indexes</A>.
+<P>
+<H2><A NAME="SEC65" HREF="libgpp_toc.html#SEC65">List status</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>a.null(); OR !a; [ (null a) ]</CODE>
+<DD>returns true if a is null.
+<P>
+<DT><CODE>a.valid(); [ (listp a) ]</CODE>
+<DD>returns true if a is non-null. Inside a conditional test, the
+<CODE>void*</CODE> coercion may also be used as in <CODE>if (a) ...</CODE>.
+<P>
+<DT><CODE>intList(); [ nil ]</CODE>
+<DD>intList() may be used to null terminate a list, as in
+<CODE>intList f(int x) {if (x == 0) return intList(); ... } </CODE>.
+<P>
+<DT><CODE>a.length(); [ (length a) ]</CODE>
+<DD>returns the length of a.
+<P>
+<DT><CODE>a.list_length(); [ (list-length a) ]</CODE>
+<DD>returns the length of a, or -1 if a is circular.
+</DL>
+<P>
+<H2><A NAME="SEC66" HREF="libgpp_toc.html#SEC66">heads and tails</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>a.get(); OR a.head() [ (car a) ]</CODE>
+<DD>returns a reference to the head field.
+<P>
+<DT><CODE>a[2]; [ (elt a 2) ]</CODE>
+<DD>returns a reference to the second (counting from zero) head field.
+<P>
+<DT><CODE>a.tail(); [ (cdr a) ]</CODE>
+<DD>returns the intList that is the tail of a.
+<P>
+<DT><CODE>a.last(); [ (last a) ]</CODE>
+<DD>returns the intList that is the last node of a.
+<P>
+<DT><CODE>a.nth(2); [ (nth a 2) ]</CODE>
+<DD>returns the intList that is the nth node of a.
+<P>
+<DT><CODE>a.set_tail(b); [ (rplacd a b) ]</CODE>
+<DD>sets a's tail to b.
+<P>
+<DT><CODE>a.push(2); [ (push 2 a) ]</CODE>
+<DD>equivalent to a = intList(2, a);
+<P>
+<DT><CODE>int x = a.pop() [ (setq x (car a)) (pop a) ]</CODE>
+<DD>returns the head of a, also setting a to its tail.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC67" HREF="libgpp_toc.html#SEC67">Constructive operations</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>b = copy(a); [ (setq b (copy-seq a)) ]</CODE>
+<DD>sets b to a copy of a.
+<P>
+<DT><CODE>b = reverse(a); [ (setq b (reverse a)) ]</CODE>
+<DD>Sets b to a reversed copy of a.
+<P>
+<DT><CODE>c = concat(a, b); [ (setq c (concat a b)) ]</CODE>
+<DD>Sets c to a concatenated copy of a and b.
+<P>
+<DT><CODE>c = append(a, b); [ (setq c (append a b)) ]</CODE>
+<DD>Sets c to a concatenated copy of a and b. All nodes of a are
+copied, with the last node pointing to b.
+<P>
+<DT><CODE>b = map(f, a); [ (setq b (mapcar f a)) ]</CODE>
+<DD>Sets b to a new list created by applying function f to each node
+of a.
+<P>
+<DT><CODE>c = combine(f, a, b);</CODE>
+<DD>Sets c to a new list created by applying function f to successive
+pairs of a and b. The resulting list has length the shorter of a
+and b.
+<P>
+<DT><CODE>b = remove(x, a); [ (setq b (remove x a)) ]</CODE>
+<DD>Sets b to a copy of a, omitting all occurrences of x.
+<P>
+<DT><CODE>b = remove(f, a); [ (setq b (remove-if f a)) ]</CODE>
+<DD>Sets b to a copy of a, omitting values causing function f to
+return true.
+<P>
+<DT><CODE>b = select(f, a); [ (setq b (remove-if-not f a)) ]</CODE>
+<DD>Sets b to a copy of a, omitting values causing function f to
+return false.
+<P>
+<DT><CODE>c = merge(a, b, f); [ (setq c (merge a b f)) ]</CODE>
+<DD>Sets c to a list containing the ordered elements (using the
+comparison function f) of the sorted lists a and b.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC68" HREF="libgpp_toc.html#SEC68">Destructive operations</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>a.append(b); [ (rplacd (last a) b) ]</CODE>
+<DD>appends b to the end of a. No new nodes are constructed.
+<P>
+<DT><CODE>a.prepend(b); [ (setq a (append b a)) ]</CODE>
+<DD>prepends b to the beginning of a.
+<P>
+<DT><CODE>a.del(x); [ (delete x a) ]</CODE>
+<DD>deletes all nodes with value x from a.
+<P>
+<DT><CODE>a.del(f); [ (delete-if f a) ]</CODE>
+<DD>deletes all nodes causing function f to return true.
+<P>
+<DT><CODE>a.select(f); [ (delete-if-not f a) ]</CODE>
+<DD>deletes all nodes causing function f to return false.
+<P>
+<DT><CODE>a.reverse(); [ (nreverse a) ]</CODE>
+<DD>reverses a in-place.
+<P>
+<DT><CODE>a.sort(f); [ (sort a f) ]</CODE>
+<DD>sorts a in-place using ordering (comparison) function f.
+<P>
+<DT><CODE>a.apply(f); [ (mapc f a) ]</CODE>
+<DD>Applies void function f (int x) to each element of a.
+<P>
+<DT><CODE>a.subst(int old, int repl); [ (nsubst repl old a) ]</CODE>
+<DD>substitutes repl for each occurrence of old in a. Note the
+different argument order than the Lisp version.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC69" HREF="libgpp_toc.html#SEC69">Other operations</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>a.find(int x); [ (find x a) ]</CODE>
+<DD>returns the intList at the first occurrence of x.
+<P>
+<DT><CODE>a.find(b); [ (find b a) ]</CODE>
+<DD>returns the intList at the first occurrence of sublist b.
+<P>
+<DT><CODE>a.contains(int x); [ (member x a) ]</CODE>
+<DD>returns true if a contains x.
+<P>
+<DT><CODE>a.contains(b); [ (member b a) ]</CODE>
+<DD>returns true if a contains sublist b.
+<P>
+<DT><CODE>a.position(int x); [ (position x a) ]</CODE>
+<DD>returns the zero-based index of x in a, or -1 if x does not occur.
+<P>
+<DT><CODE>int x = a.reduce(f, int base); [ (reduce f a :initial-value base) ]</CODE>
+<DD>Accumulates the result of applying int function f(int, int) to
+successive elements of a, starting with base.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC70" HREF="libgpp_toc.html#SEC70">Linked Lists</A></H1>
+<P>
+SLLists provide pseudo-generic singly linked lists. DLLists provide
+doubly linked lists. The lists are designed for the simple maintenance
+of elements in a linked structure, and do not provide the more extensive
+operations (or node-sharing) of class <CODE>List</CODE>. They behave similarly
+to the <CODE>slist</CODE> and similar classes described by Stroustrup.<P>
+All list nodes are created dynamically. Assignment is performed via
+copying.
+<P>
+Class <CODE>DLList</CODE> supports all <CODE>SLList</CODE> operations, plus
+additional operations described below.
+<P>
+For purposes of illustration, assume the specification of class
+<CODE>intSLList</CODE>. In addition to the operations listed here,
+SLLists support traversal via Pixes. See section <A HREF="libgpp.html#SEC15">Pseudo-indexes</A>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>intSLList a;</CODE>
+<DD>Declares a to be an empty list.
+<P>
+<DT><CODE>intSLList b = a;</CODE>
+<DD>Sets b to an element-by-element copy of a.
+<P>
+<DT><CODE>a.empty()</CODE>
+<DD>returns true if a contains no elements
+<P>
+<DT><CODE>a.length();</CODE>
+<DD>returns the number of elements in a.
+<P>
+<DT><CODE>a.prepend(x);</CODE>
+<DD>places x at the front of the list.
+<P>
+<DT><CODE>a.append(x);</CODE>
+<DD>places x at the end of the list.
+<P>
+<DT><CODE>a.join(b)</CODE>
+<DD>places all nodes from b to the end of a, simultaneously destroying b.
+<P>
+<DT><CODE>x = a.front()</CODE>
+<DD>returns a reference to the item stored at the head of the list,
+or triggers an error if the list is empty.
+<P>
+<DT><CODE>a.rear()</CODE>
+<DD>returns a reference to the rear of the list, or triggers an error if the
+list is empty.
+<P>
+<DT><CODE>x = a.remove_front()</CODE>
+<DD>deletes and returns the item stored at the head of the list.
+<P>
+<DT><CODE>a.del_front()</CODE>
+<DD>deletes the first element, without returning it.
+<P>
+<DT><CODE>a.clear()</CODE>
+<DD>deletes all items from the list.
+<P>
+<DT><CODE>a.ins_after(Pix i, item);</CODE>
+<DD>inserts item after position i. If i is null, insertion is at the front.
+<P>
+<DT><CODE>a.del_after(Pix i);</CODE>
+<DD>deletes the element following i. If i is 0, the first item is deleted.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC71" HREF="libgpp_toc.html#SEC71">Doubly linked lists</A></H2>
+<P>
+Class <CODE>DLList</CODE> supports the following additional operations,
+as well as backward traversal via Pixes.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>x = a.remove_rear();</CODE>
+<DD>deletes and returns the item stored at the rear of the list.
+<P>
+<DT><CODE>a.del_rear();</CODE>
+<DD>deletes the last element, without returning it.
+<P>
+<DT><CODE>a.ins_before(Pix i, x)</CODE>
+<DD>inserts x before the i.
+<P>
+<DT><CODE>a.del(Pix&#38; iint dir = 1)</CODE>
+<DD>deletes the item at the current position, then advances forward
+if dir is positive, else backward.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC72" HREF="libgpp_toc.html#SEC72">Vector classes</A></H1>
+<P>
+The files <TT>`g++-include/Vec.ccP'</TT> and <TT>`g++-include/AVec.ccP'</TT>
+provide pseudo-generic standard array-based vector operations. The
+corresponding header files are <TT>`g++-include/Vec.hP'</TT> and
+<TT>`g++-include/AVec.hP'</TT>. Class <CODE>Vec</CODE> provides operations
+suitable for any base class that includes an equality operator. Subclass
+<CODE>AVec</CODE> provides additional arithmetic operations suitable for base
+classes that include the full complement of arithmetic operators.
+<P>
+<CODE>Vecs</CODE> are constructed and assigned by copying. Thus, they should
+normally be passed by reference in applications programs.
+<P>
+Several mapping functions are provided that allow programmers to
+specify operations on vectors as a whole.
+<P>
+For illustrative purposes assume that classes <CODE>intVec</CODE> and
+<CODE>intAVec</CODE> have been generated via <CODE>genclass</CODE>.
+<P>
+<H2><A NAME="SEC73" HREF="libgpp_toc.html#SEC73">Constructors and assignment</A></H2>
+<P>
+<DL COMPACT>
+<DT><CODE>intVec a;</CODE>
+<DD>declares a to be an empty vector. Its size may be changed via resize.
+<P>
+<DT><CODE>intVec a(10);</CODE>
+<DD>declares a to be an uninitialized vector of ten elements (numbered 0-9).
+<P>
+<DT><CODE>intVec b(6, 0);</CODE>
+<DD>declares b to be a vector of six elements, all initialized to zero. Any
+value can be used as the initial fill argument.
+<P>
+<DT><CODE>a = b;</CODE>
+<DD>Copies b to a. a is resized to be the same as b.
+<P>
+<DT><CODE>a = b.at(2, 4)</CODE>
+<DD>constructs a from the 4 elements of b starting at b[2].
+</DL>
+<P>
+Assume declarations of <CODE>intVec a, b, c</CODE> and <CODE>int i, x</CODE> in
+the following.
+<P>
+<H2><A NAME="SEC74" HREF="libgpp_toc.html#SEC74">Status and access</A></H2>
+<P>
+<DL COMPACT>
+<DT><CODE>a.capacity();</CODE>
+<DD>returns the number of elements that can be held in a.
+<P>
+<DT><CODE>a.resize(20);</CODE>
+<DD>sets a's length to 20. All elements are unchanged, except that if
+the new size is smaller than the original, than trailing elements
+are deleted, and if greater, trailing elements are uninitialized.
+<P>
+<DT><CODE>a[i];</CODE>
+<DD>returns a reference to the i'th element of a, or produces an error
+if i is out of range.
+<P>
+<DT><CODE>a.elem(i)</CODE>
+<DD>returns a reference to the i'th element of a. Unlike the <CODE>[]</CODE> operator,
+i is not checked to ensure that it is within range.
+<P>
+<DT><CODE>a == b;</CODE>
+<DD>returns true if a and b contain the same elements in the same order.
+<P>
+<DT><CODE>a != b;</CODE>
+<DD>is the converse of a == b.
+</DL>
+<P>
+<H2><A NAME="SEC75" HREF="libgpp_toc.html#SEC75">Constructive operations</A></H2>
+<P>
+<DL COMPACT>
+<DT><CODE>c = concat(a, b);</CODE>
+<DD>sets c to the new vector constructed from all of the elements of
+a followed by all of b.
+<P>
+<DT><CODE>c = map(f, a);</CODE>
+<DD>sets c to the new vector constructed by applying int function f(int)
+to each element of a.
+<P>
+<DT><CODE>c = merge(a, b, f);</CODE>
+<DD>sets c to the new vector constructed by merging the elements of
+ordered vectors a and b using ordering (comparison) function f.
+<P>
+<DT><CODE>c = combine(f, a, b);</CODE>
+<DD>sets c to the new vector constructed by applying int function f(int, int)
+to successive pairs of a and b. The result has length the shorter of
+a and b.
+<P>
+<DT><CODE>c = reverse(a)</CODE>
+<DD>sets c to a, with elements in reverse order.
+</DL>
+<P>
+<H2><A NAME="SEC76" HREF="libgpp_toc.html#SEC76">Destructive operations</A></H2>
+<P>
+<DL COMPACT>
+<DT><CODE>a.reverse();</CODE>
+<DD>reverses a in-place.
+<P>
+<DT><CODE>a.sort(f)</CODE>
+<DD>sorts a in-place using comparison function f. The sorting method is a
+variation of the quicksort functions supplied with GNU emacs.
+<P>
+<DT><CODE>a.fill(0, 4, 2)</CODE>
+<DD>fills the 2 elements starting at a[4] with zero.
+<P>
+</DL>
+<P>
+<H2><A NAME="SEC77" HREF="libgpp_toc.html#SEC77">Other operations</A></H2>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>a.apply(f)</CODE>
+<DD>applies function f to each element in a.
+<P>
+<DT><CODE>x = a.reduce(f, base)</CODE>
+<DD>accumulates the results of applying function f to successive elements
+of a starting with base.
+<P>
+<DT><CODE>a.index(int targ);</CODE>
+<DD>returns the index of the leftmost occurrence of the target, or -1,
+if it does not occur.
+<P>
+<DT><CODE>a.error(char* msg)</CODE>
+<DD>invokes the error handler. The default version prints the error message,
+then aborts.
+</DL>
+<P>
+<H2><A NAME="SEC78" HREF="libgpp_toc.html#SEC78">AVec operations.</A></H2>
+<P>
+AVecs provide additional arithmetic operations. All vector-by-vector
+operators generate an error if the vectors are not the same length. The
+following operations are provided, for <CODE>AVecs a, b</CODE> and
+base element (scalar) <CODE>s</CODE>.
+<P>
+<DL COMPACT>
+<DT><CODE>a = b;</CODE>
+<DD>Copies b to a. a and b must be the same size.
+<P>
+<DT><CODE>a = s;</CODE>
+<DD>fills all elements of a with the value s. a is not resized.
+<P>
+<DT><CODE>a + s; a - s; a * s; a / s</CODE>
+<DD>adds, subtracts, multiplies, or divides each element of a with the scalar.
+<P>
+<DT><CODE>a += s; a -= s; a *= s; a /= s;</CODE>
+<DD>adds, subtracts, multiplies, or divides the scalar into a.
+<P>
+<DT><CODE>a + b; a - b; product(a, b), quotient(a, b)</CODE>
+<DD>adds, subtracts, multiplies, or divides corresponding elements of a and b.
+<P>
+<DT><CODE>a += b; a -= b; a.product(b); a.quotient(b);</CODE>
+<DD>adds, subtracts, multiplies, or divides corresponding elements of b into a.
+<P>
+<DT><CODE>s = a * b;</CODE>
+<DD>returns the inner (dot) product of a and b.
+<P>
+<DT><CODE>x = a.sum();</CODE>
+<DD>returns the sum of elements of a.
+<P>
+<DT><CODE>x = a.sumsq();</CODE>
+<DD>returns the sum of squared elements of a.
+<P>
+<DT><CODE>x = a.min();</CODE>
+<DD>returns the minimum element of a.
+<P>
+<DT><CODE>x = a.max();</CODE>
+<DD>returns the maximum element of a.
+<P>
+<DT><CODE>i = a.min_index();</CODE>
+<DD>returns the index of the minimum element of a.
+<P>
+<DT><CODE>i = a.max_index();</CODE>
+<DD>returns the index of the maximum element of a.
+<P>
+Note that it is possible to apply vector versions other arithmetic
+operators via the mapping functions. For example, to set vector b
+to the cosines of doubleVec a, use <CODE>b = map(cos, a);</CODE>.
+This is often more efficient than performing the operations
+in an element-by-element fashion.
+</DL>
+<P>
+<H1><A NAME="SEC79" HREF="libgpp_toc.html#SEC79">Plex classes</A></H1>
+<P>
+A "Plex" is a kind of array with the following properties:
+<P>
+<UL>
+<LI>
+Plexes may have arbitrary upper and lower index bounds. For example
+a Plex may be declared to run from indices -10 .. 10.
+<P>
+<LI>
+Plexes may be dynamically expanded at both the lower and upper bounds
+of the array in steps of one element.
+<P>
+<LI>
+Only elements that have been specifically initialized or added may
+be accessed.
+<P>
+<LI>
+Elements may be accessed via indices. Indices are always checked for
+validity at run time. Plexes may be traversed via simple variations of
+standard array indexing loops.
+<P>
+<LI>
+Plex elements may be accessed and traversed via Pixes.
+<P>
+<LI>
+Plex-to-Plex assignment and related operations on entire Plexes
+are supported.
+<P>
+<LI>
+Plex classes contain methods to help programmers check the validity
+of indexing and pointer operations.
+<P>
+<LI>
+Plexes form "natural" base classes for many restricted-access data
+structures relying on logically contiguous indices, such as array-based
+stacks and queues.
+<P>
+<LI>
+Plexes are implemented as pseudo-generic classes, and must be generated
+via the <CODE>genclass</CODE> utility.
+</UL>
+<P>
+Four subclasses of Plexes are supported: A <CODE>FPlex</CODE> is a Plex that
+may only grow or shrink within declared bounds; an <CODE>XPlex</CODE> may
+dynamically grow or shrink without bounds; an <CODE>RPlex</CODE> is the
+same as an <CODE>XPlex</CODE> but better supports indexing with poor
+locality of reference; a <CODE>MPlex</CODE> may grow
+or shrink, and additionally allows the logical deletion and restoration
+of elements. Because these classes are virtual subclasses of the
+"abstract" class <CODE>Plex</CODE>, it is possible to write user code
+such as <CODE>void f(Plex&#38; a) ...</CODE> that operates on any kind of
+Plex. However, as with nearly any virtual class, specifying the
+particular Plex class being used results in more efficient code.
+<P>
+Plexes are implemented as a linked list of <CODE>IChunks</CODE>. Each chunk
+contains a part of the array. Chunk sizes may be specified within Plex
+constructors. Default versions also exist, that use a <CODE>#define'd</CODE>
+default. Plexes grow by filling unused space in existing chunks, if
+possible, else, except for FPlexes, by adding another chunk. Whenever
+Plexes grow by a new chunk, the default element constructors (i.e.,
+those which take no arguments) for all chunk elements are called at
+once. When Plexes shrink, destructors for the elements are not called
+until an entire chunk is freed. For this reason, Plexes (like C++
+arrays) should only be used for elements with default constructors and
+destructors that have no side effects.
+<P>
+Plexes may be indexed and used like arrays, although traversal
+syntax is slightly different. Even though Plexes maintain elements
+in lists of chunks, they are implemented so that iteration and
+other constructs that maintain locality of reference require very
+little overhead over that for simple array traversal
+Pix-based traversal is also supported. For example, for a plex, p,
+of ints, the following traversal methods could be used.
+<P>
+<PRE>
+for (int i = p.low(); i &#60; p.fence(); p.next(i)) use(p[i]);
+for (int i = p.high(); i &#62; p.ecnef(); p.prev(i)) use(p[i]);
+for (Pix t = p.first(); t != 0; p.next(t)) use(p(i));
+for (Pix t = p.last(); t != 0; p.prev(t)) use(p(i));
+</PRE>
+<P>
+Except for MPlexes, simply using <CODE>++i</CODE> and <CODE>--i</CODE> works just as
+well as <CODE>p.next(i)</CODE> and <CODE>p.prev(i)</CODE> when traversing by index.
+Index-based traversal is generally a bit faster than Pix-based
+traversal.
+<P>
+<CODE>XPlexes</CODE> and <CODE>MPlexes</CODE> are less than optimal for applications
+in which widely scattered elements are indexed, as might occur when
+using Plexes as hash tables or "manually" allocated linked lists.
+In such applications, <CODE>RPlexes</CODE> are often preferable. <CODE>RPlexes</CODE>
+use a secondary chunk index table that requires slightly greater,
+but entirely uniform overhead per index operation.
+<P>
+Even though they may grow in either direction, Plexes are normally
+constructed so that their "natural" growth direction is upwards,
+in that default chunk construction leaves free space, if present,
+at the end of the plex. However, if the chunksize arguments to
+constructors are negative, they leave space at the beginning.
+<P>
+All versions of Plexes support the following basic capabilities.
+(letting <CODE>Plex</CODE> stand for the type name constructed via the
+genclass utility (e.g., <CODE>intPlex</CODE>, <CODE>doublePlex</CODE>)). Assume
+declarations of <CODE>Plex p, q</CODE>, <CODE>int i, j</CODE>, base element
+<CODE>x</CODE>, and Pix <CODE>pix</CODE>.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Plex p;</CODE>
+<DD>Declares p to be an initially zero-sized Plex with low index of zero,
+and the default chunk size. For FPlexes, chunk sizes represent maximum
+sizes.
+<P>
+<DT><CODE>Plex p(int size);</CODE>
+<DD>Declares p to be an initially zero-sized Plex with low index of zero,
+and the indicated chunk size. If size is negative, then the Plex
+is created with free space at the beginning of the Plex,
+allowing more efficient add_low() operations. Otherwise, it
+leaves space at the end.
+<P>
+<DT><CODE>Plex p(int low, int size);</CODE>
+<DD>Declares p to be an initially zero-sized Plex with low index of low,
+and the indicated chunk size.
+<P>
+<DT><CODE>Plex p(int low, int high, Base initval, int size = 0);</CODE>
+<DD>Declares p to be a Plex with indices from low to high, initially
+filled with initval, and the indicated chunk size if specified,
+else the default or (high - low + 1), whichever is greater.
+<P>
+<DT><CODE>Plex q(p);</CODE>
+<DD>Declares q to be a copy of p.
+<P>
+<DT><CODE>p = q;</CODE>
+<DD>Copies Plex q into p, deleting its previous contents.
+<P>
+<DT><CODE>p.length()</CODE>
+<DD>Returns the number of elements in the Plex.
+<P>
+<DT><CODE>p.empty()</CODE>
+<DD>Returns true if Plex p contains no elements.
+<P>
+<DT><CODE>p.full()</CODE>
+<DD>Returns true if Plex p cannot be expanded. This always returns
+false for XPlexes and MPlexes.
+<P>
+<DT><CODE>p[i]</CODE>
+<DD>Returns a reference to the i'th element of p. An exception (error) occurs
+if i is not a valid index.
+<P>
+<DT><CODE>p.valid(i)</CODE>
+<DD>Returns true if i is a valid index into Plex p.
+<P>
+<DT><CODE>p.low(); p.high();</CODE>
+<DD>Return the minimum (maximum) valid index of the Plex, or the high (low)
+fence if the plex is empty.
+<P>
+<DT><CODE>p.ecnef(); p.fence();</CODE>
+<DD>Return the index one position past the minimum (maximum) valid index.
+<P>
+<DT><CODE>p.next(i); i = p.prev(i);</CODE>
+<DD>Set i to the next (previous) index. This index may not be within bounds.
+<P>
+<DT><CODE>p(pix)</CODE>
+<DD>returns a reference to the item at Pix pix.
+<P>
+<DT><CODE>pix = p.first(); pix = p.last();</CODE>
+<DD>Return the minimum (maximum) valid Pix of the Plex, or 0
+if the plex is empty.
+<P>
+<DT><CODE>p.next(pix); p.prev(pix);</CODE>
+<DD>set pix to the next (previous) Pix, or 0 if there is none.
+<P>
+<DT><CODE>p.owns(pix)</CODE>
+<DD>Returns true if the Plex contains the element associated with pix.
+<P>
+<DT><CODE>p.Pix_to_index(pix)</CODE>
+<DD>If pix is a valid Pix to an element of the Plex,
+returns its corresponding index, else raises an exception.
+<P>
+<DT><CODE>ptr = p.index_to_Pix(i)</CODE>
+<DD>if i is a valid index, returns a the corresponding Pix.
+<P>
+<DT><CODE>p.low_element(); p.high_element();</CODE>
+<DD>Return a reference to the element at the minimum (maximum) valid index.
+An exception occurs if the Plex is empty.
+<P>
+<DT><CODE>p.can_add_low(); p.can_add_high();</CODE>
+<DD>Returns true if the plex can be extended one element downward (upward).
+These always return true for XPlex and MPlex.
+<P>
+<DT><CODE>j = p.add_low(x); j = p.add_high(x);</CODE>
+<DD>Extend the Plex by one element downward (upward). The new minimum
+(maximum) index is returned.
+<P>
+<DT><CODE>j = p.del_low(); j = p.del_high()</CODE>
+<DD>Shrink the Plex by one element on the low (high) end. The new
+minimum (maximum) element is returned. An exception occurs if the
+Plex is empty.
+<P>
+<DT><CODE>p.append(q);</CODE>
+<DD>Append all of Plex q to the high side of p.
+<P>
+<DT><CODE>p.prepend(q);</CODE>
+<DD>Prepend all of q to the low side of p.
+<P>
+<DT><CODE>p.clear()</CODE>
+<DD>Delete all elements, resetting p to a zero-sized Plex.
+<P>
+<DT><CODE>p.reset_low(i);</CODE>
+<DD>Resets p to be indexed starting at low() = i. For example.
+if p were initially declared via <CODE>Plex p(0, 10, 0)</CODE>,
+and then re-indexed via <CODE>p.reset_low(5)</CODE>,
+it could then be indexed from indices 5 .. 14.
+<P>
+<DT><CODE>p.fill(x)</CODE>
+<DD>sets all p[i] to x.
+<P>
+<DT><CODE>p.fill(x, lo, hi)</CODE>
+<DD>sets all of p[i] from lo to hi, inclusive, to x.
+<P>
+<DT><CODE>p.reverse()</CODE>
+<DD>reverses p in-place.
+<P>
+<DT><CODE>p.chunk_size()</CODE>
+<DD>returns the chunk size used for the plex.
+<P>
+<DT><CODE>p.error(const char * msg)</CODE>
+<DD>calls the resettable error handler.
+<P>
+</DL>
+<P>
+MPlexes are plexes with bitmaps that allow items to be logically
+deleted and restored. They behave like other plexes, but
+also support the following additional and modified capabilities:
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>p.del_index(i); p.del_Pix(pix)</CODE>
+<DD>logically deletes p[i] (p(pix)). After deletion, attempts to access p[i]
+generate a error. Indexing via low(), high(), prev(),
+and next() skip the element. Deleting an element never changes the
+logical bounds of the plex.
+<P>
+<DT><CODE>p.undel_index(i); p.undel_Pix(pix)</CODE>
+<DD>logically undeletes p[i] (p(pix)).
+<P>
+<DT><CODE>p.del_low(); p.del_high()</CODE>
+<DD>Delete the lowest (highest) undeleted element, resetting the
+logical bounds of the plex to the next lowest (highest) undeleted
+index. Thus, MPlex del_low() and del_high() may shrink the bounds
+of the plex by more than one index.
+<P>
+<DT><CODE>p.adjust_bounds()</CODE>
+<DD>Resets the low and high bounds of the Plex to the indexes of
+the lowest and highest actual undeleted elements.
+<P>
+<DT><CODE>int i = p.add(x)</CODE>
+<DD>Adds x in an unused index, if possible, else performs add_high.
+<P>
+<DT><CODE>p.count()</CODE>
+<DD>returns the number of valid (undeleted) elements.
+<P>
+<DT><CODE>p.available()</CODE>
+<DD>returns the number of available (deleted) indices.
+<P>
+<DT><CODE>int i = p.unused_index()</CODE>
+<DD>returns the index of some deleted element, if one exists,
+else triggers an error. An unused element may be reused via undel.
+<P>
+<DT><CODE>pix = p.unused_Pix()</CODE>
+<DD>returns the pix of some deleted element, if one exists, else 0.
+An unused element may be reused via undel.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC80" HREF="libgpp_toc.html#SEC80">Stacks</A></H1>
+<P>
+Stacks are declared as an "abstract" class. They are currently
+implemented in any of three ways.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>VStack</CODE>
+<DD>implement fixed sized stacks via arrays.
+<P>
+<DT><CODE>XPStack</CODE>
+<DD>implement dynamically-sized stacks via XPlexes.
+<P>
+<DT><CODE>SLStack</CODE>
+<DD>implement dynamically-size stacks via linked lists.
+<P>
+</DL>
+<P>
+All possess the same capabilities. They differ only in constructors.
+VStack constructors require a fixed maximum capacity argument.
+XPStack constructors optionally take a chunk size argument.
+SLStack constructors take no argument.
+<P>
+Assume the declaration of a base element <CODE>x</CODE>.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Stack s; or Stack s(int capacity)</CODE>
+<DD>declares a Stack.
+<P>
+<DT><CODE>s.empty()</CODE>
+<DD>returns true if stack s is empty.
+<P>
+<DT><CODE>s.full()</CODE>
+<DD>returns true if stack s is full. XPStacks and SLStacks never become full.
+<P>
+<DT><CODE>s.length()</CODE>
+<DD>returns the current number of elements in the stack.
+<P>
+<DT><CODE>s.push(x)</CODE>
+<DD>pushes x on stack s.
+<P>
+<DT><CODE>x = s.pop()</CODE>
+<DD>pops and returns the top of stack
+<P>
+<DT><CODE>s.top()</CODE>
+<DD>returns a reference to the top of stack.
+<P>
+<DT><CODE>s.del_top()</CODE>
+<DD>pops, but does not return the top of stack. When large items are held
+on the stack it is often a good idea to use <CODE>top()</CODE> to inspect and use
+the top of stack, followed by a <CODE>del_top()</CODE>
+<P>
+<DT><CODE>s.clear()</CODE>
+<DD>removes all elements from the stack.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC81" HREF="libgpp_toc.html#SEC81">Queues</A></H1>
+<P>
+Queues are declared as an "abstract" class. They are currently
+implemented in any of three ways.
+<P>
+<DL COMPACT>
+<DT><CODE>VQueue</CODE>
+<DD>implement fixed sized Queues via arrays.
+<P>
+<DT><CODE>XPQueue</CODE>
+<DD>implement dynamically-sized Queues via XPlexes.
+<P>
+<DT><CODE>SLQueue</CODE>
+<DD>implement dynamically-size Queues via linked lists.
+</DL>
+<P>
+All possess the same capabilities; they differ only in constructors.
+<CODE>VQueue</CODE> constructors require a fixed maximum capacity argument.
+<CODE>XPQueue</CODE> constructors optionally take a chunk size argument.
+<CODE>SLQueue</CODE> constructors take no argument.
+<P>
+Assume the declaration of a base element <CODE>x</CODE>.
+<P>
+<DL COMPACT>
+<DT><CODE>Queue q; or Queue q(int capacity);</CODE>
+<DD>declares a queue.
+<P>
+<DT><CODE>q.empty()</CODE>
+<DD>returns true if queue q is empty.
+<P>
+<DT><CODE>q.full()</CODE>
+<DD>returns true if queue q is full. XPQueues and SLQueues are never full.
+<P>
+<DT><CODE>q.length()</CODE>
+<DD>returns the current number of elements in the queue.
+<P>
+<DT><CODE>q.enq(x)</CODE>
+<DD>enqueues x on queue q.
+<P>
+<DT><CODE>x = q.deq()</CODE>
+<DD>dequeues and returns the front of queue
+<P>
+<DT><CODE>q.front()</CODE>
+<DD>returns a reference to the front of queue.
+<P>
+<DT><CODE>q.del_front()</CODE>
+<DD>dequeues, but does not return the front of queue
+<P>
+<DT><CODE>q.clear()</CODE>
+<DD>removes all elements from the queue.
+</DL>
+<P>
+<H1><A NAME="SEC82" HREF="libgpp_toc.html#SEC82">Double ended Queues</A></H1>
+<P>
+Deques are declared as an "abstract" class. They are currently
+implemented in two ways.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>XPDeque</CODE>
+<DD>implement dynamically-sized Deques via XPlexes.
+<P>
+<DT><CODE>DLDeque</CODE>
+<DD>implement dynamically-size Deques via linked lists.
+<P>
+</DL>
+<P>
+All possess the same capabilities. They differ only in constructors.
+XPDeque constructors optionally take a chunk size argument.
+DLDeque constructors take no argument.
+<P>
+Double-ended queues support both stack-like and queue-like capabilities:
+<P>
+Assume the declaration of a base element <CODE>x</CODE>.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Deque d; or Deque d(int initial_capacity)</CODE>
+<DD>declares a deque.
+<P>
+<DT><CODE>d.empty()</CODE>
+<DD>returns true if deque d is empty.
+<P>
+<DT><CODE>d.full()</CODE>
+<DD>returns true if deque d is full.
+Always returns false in current implementations.
+<P>
+<DT><CODE>d.length()</CODE>
+<DD>returns the current number of elements in the deque.
+<P>
+<DT><CODE>d.enq(x)</CODE>
+<DD>inserts x at the rear of deque d.
+<P>
+<DT><CODE>d.push(x)</CODE>
+<DD>inserts x at the front of deque d.
+<P>
+<DT><CODE>x = d.deq()</CODE>
+<DD>dequeues and returns the front of deque
+<P>
+<DT><CODE>d.front()</CODE>
+<DD>returns a reference to the front of deque.
+<P>
+<DT><CODE>d.rear()</CODE>
+<DD>returns a reference to the rear of the deque.
+<P>
+<DT><CODE>d.del_front()</CODE>
+<DD>deletes, but does not return the front of deque
+<P>
+<DT><CODE>d.del_rear()</CODE>
+<DD>deletes, but does not return the rear of the deque.
+<P>
+<DT><CODE>d.clear()</CODE>
+<DD>removes all elements from the deque.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC83" HREF="libgpp_toc.html#SEC83">Priority Queue class prototypes.</A></H1>
+<P>
+Priority queues maintain collections of objects arranged for fast
+access to the least element.
+<P>
+Several prototype implementations of priority queues are supported.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>XPPQs</CODE>
+<DD>implement 2-ary heaps via XPlexes.
+<P>
+<DT><CODE>SplayPQs</CODE>
+<DD>implement PQs via Sleator and Tarjan's (JACM 1985)
+splay trees. The algorithms use a version of "simple top-down
+splaying" (described on page 669 of the article). The simple-splay
+mechanism for priority queue functions is loosely based on the one used
+by D. Jones in the C splay tree functions available from volume 14 of
+the uunet.uu.net archives.
+<P>
+<DT><CODE>PHPQs</CODE>
+<DD>implement pairing heaps (as described by Fredman and
+Sedgewick in <CITE>Algorithmica</CITE>, Vol 1, p111-129). Storage for heap elements
+is managed via an internal freelist technique. The constructor allows an
+initial capacity estimate for freelist space. The storage is automatically
+expanded if necessary to hold new items. The deletion technique is a fast
+"lazy deletion" strategy that marks items as deleted, without reclaiming
+space until the items come to the top of the heap.
+<P>
+</DL>
+<P>
+All PQ classes support the following operations, for some PQ class
+<CODE>Heap</CODE>, instance <CODE>h</CODE>, <CODE>Pix ind</CODE>, and base class
+variable <CODE>x</CODE>.
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>h.empty()</CODE>
+<DD>returns true if there are no elements in the PQ.
+<P>
+<DT><CODE>h.length()</CODE>
+<DD>returns the number of elements in h.
+<P>
+<DT><CODE>ind = h.enq(x)</CODE>
+<DD>Places x in the PQ, and returns its index.
+<P>
+<DT><CODE>x = h.deq()</CODE>
+<DD>Dequeues the minimum element of the PQ into x, or generates an error
+if the PQ is empty.
+<P>
+<DT><CODE>h.front()</CODE>
+<DD>returns a reference to the minimum element.
+<P>
+<DT><CODE>h.del_front()</CODE>
+<DD>deletes the minimum element.
+<P>
+<DT><CODE>h.clear();</CODE>
+<DD>deletes all elements from h;
+<P>
+<DT><CODE>h.contains(x)</CODE>
+<DD>returns true if x is in h.
+<P>
+<DT><CODE>h(ind)</CODE>
+<DD>returns a reference to the item indexed by ind.
+<P>
+<DT><CODE>ind = h.first()</CODE>
+<DD>returns the Pix of first item in the PQ or 0 if empty.
+This need not be the Pix of the least element.
+<P>
+<DT><CODE>h.next(ind)</CODE>
+<DD>advances ind to the Pix of next element, or 0 if there are no more.
+<P>
+<DT><CODE>ind = h.seek(x)</CODE>
+<DD>Sets ind to the Pix of x, or 0 if x is not in h.
+<P>
+<DT><CODE>h.del(ind)</CODE>
+<DD>deletes the item with Pix ind.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC84" HREF="libgpp_toc.html#SEC84">Set class prototypes</A></H1>
+<P>
+Set classes maintain unbounded collections of items containing
+no duplicate elements.
+<P>
+These are currently implemented in several ways, differing in
+representation strategy, algorithmic efficiency, and appropriateness for
+various tasks. (Listed next to each are average (followed by worst-case,
+if different) time complexities for [a] adding, [f] finding (via seek,
+contains), [d] deleting, elements, and [c] comparing (via ==, &#60;=) and
+[m] merging (via |=, -=, &#38;=) sets).
+<P>
+<DL COMPACT>
+<DT><CODE>XPSets</CODE>
+<DD>implement unordered sets via XPlexes.
+([a O(n)], [f O(n)], [d O(n)], [c O(n^2)] [m O(n^2)]).
+<P>
+<DT><CODE>OXPSets</CODE>
+<DD>implement ordered sets via XPlexes.
+([a O(n)], [f O(log n)], [d O(n)], [c O(n)] [m O(n)]).
+<P>
+<DT><CODE>SLSets</CODE>
+<DD>implement unordered sets via linked lists
+([a O(n)], [f O(n)], [d O(n)], [c O(n^2)] [m O(n^2)]).
+<P>
+<DT><CODE>OSLSets</CODE>
+<DD>implement ordered sets via linked lists
+([a O(n)], [f O(n)], [d O(n)], [c O(n)] [m O(n)]).
+<P>
+<DT><CODE>AVLSets</CODE>
+<DD>implement ordered sets via threaded AVL trees
+([a O(log n)], [f O(log n)], [d O(log n)], [c O(n)] [m O(n)]).
+<P>
+<DT><CODE>BSTSets</CODE>
+<DD>implement ordered sets via binary search trees. The trees may
+be manually rebalanced via the O(n) <CODE>balance()</CODE> member function.
+([a O(log n)/O(n)], [f O(log n)/O(n)], [d O(log n)/O(n)], [c O(n)] [m O(n)]).
+<P>
+<DT><CODE>SplaySets</CODE>
+<DD>implement ordered sets via Sleator and Tarjan's (JACM 1985)
+splay trees. The algorithms use a version of "simple top-down
+splaying" (described on page 669 of the article).
+(Amortized: [a O(log n)], [f O(log n)], [d O(log n)], [c O(n)] [m O(n log n)]).
+<P>
+<DT><CODE>VHSets</CODE>
+<DD>implement unordered sets via hash tables.
+The tables are automatically resized when their capacity is exhausted.
+([a O(1)/O(n)], [f O(1)/O(n)], [d O(1)/O(n)], [c O(n)/O(n^2)] [m O(n)/O(n^2)]).
+<P>
+<DT><CODE>VOHSets</CODE>
+<DD>implement unordered sets via ordered hash tables
+The tables are automatically resized when their capacity is exhausted.
+([a O(1)/O(n)], [f O(1)/O(n)], [d O(1)/O(n)], [c O(n)/O(n^2)] [m O(n)/O(n^2)]).
+<P>
+<DT><CODE>CHSets</CODE>
+<DD>implement unordered sets via chained hash tables.
+([a O(1)/O(n)], [f O(1)/O(n)], [d O(1)/O(n)], [c O(n)/O(n^2)] [m O(n)/O(n^2)]).
+</DL>
+<P>
+The different implementations differ in whether their constructors
+require an argument specifying their initial capacity. Initial
+capacities are required for plex and hash table based Sets. If none is
+given <CODE>DEFAULT_INITIAL_CAPACITY</CODE> (from <TT>`&#60;T&#62;defs.h'</TT>) is
+used.<P>
+Sets support the following operations, for some class <CODE>Set</CODE>,
+instances <CODE>a</CODE> and <CODE>b</CODE>, <CODE>Pix ind</CODE>, and base
+element <CODE>x</CODE>. Since all implementations are virtual derived classes
+of the <CODE>&#60;T&#62;Set</CODE> class, it is possible to mix and match operations
+across different implementations, although, as usual, operations
+are generally faster when the particular classes are specified
+in functions operating on Sets.
+<P>
+Pix-based operations are more fully described in the section
+on Pixes. See section <A HREF="libgpp.html#SEC15">Pseudo-indexes</A>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Set a; or Set a(int initial_size);</CODE>
+<DD>Declares a to be an empty Set. The second version is allowed in
+set classes that require initial capacity or sizing specifications.
+<P>
+<DT><CODE>a.empty()</CODE>
+<DD>returns true if a is empty.
+<P>
+<DT><CODE>a.length()</CODE>
+<DD>returns the number of elements in a.
+<P>
+<DT><CODE>Pix ind = a.add(x)</CODE>
+<DD>inserts x into a, returning its index.
+<P>
+<DT><CODE>a.del(x)</CODE>
+<DD>deletes x from a.
+<P>
+<DT><CODE>a.clear()</CODE>
+<DD>deletes all elements from a;
+<P>
+<DT><CODE>a.contains(x)</CODE>
+<DD>returns true if x is in a.
+<P>
+<DT><CODE>a(ind)</CODE>
+<DD>returns a reference to the item indexed by ind.
+<P>
+<DT><CODE>ind = a.first()</CODE>
+<DD>returns the Pix of first item in the set or 0 if the Set is empty.
+For ordered Sets, this is the Pix of the least element.
+<P>
+<DT><CODE>a.next(ind)</CODE>
+<DD>advances ind to the Pix of next element, or 0 if there are no more.
+<P>
+<DT><CODE>ind = a.seek(x)</CODE>
+<DD>Sets ind to the Pix of x, or 0 if x is not in a.
+<P>
+<DT><CODE>a == b</CODE>
+<DD>returns true if a and b contain all the same elements.
+<P>
+<DT><CODE>a != b</CODE>
+<DD>returns true if a and b do not contain all the same elements.
+<P>
+<DT><CODE>a &#60;= b</CODE>
+<DD>returns true if a is a subset of b.
+<P>
+<DT><CODE>a |= b</CODE>
+<DD>Adds all elements of b to a.
+<P>
+<DT><CODE>a -= b</CODE>
+<DD>Deletes all elements of b from a.
+<P>
+<DT><CODE>a &#38;= b</CODE>
+<DD>Deletes all elements of a not occurring in b.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC85" HREF="libgpp_toc.html#SEC85">Bag class prototypes</A></H1>
+<P>
+Bag classes maintain unbounded collections of items potentially
+containing duplicate elements.
+<P>
+These are currently implemented in several ways, differing in
+representation strategy, algorithmic efficiency, and appropriateness for
+various tasks. (Listed next to each are average (followed by worst-case,
+if different) time complexities for [a] adding, [f] finding (via seek,
+contains), [d] deleting elements).
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>XPBags</CODE>
+<DD>implement unordered Bags via XPlexes.
+([a O(1)], [f O(n)], [d O(n)]).
+<P>
+<DT><CODE>OXPBags</CODE>
+<DD>implement ordered Bags via XPlexes.
+([a O(n)], [f O(log n)], [d O(n)]).
+<P>
+<DT><CODE>SLBags</CODE>
+<DD>implement unordered Bags via linked lists
+([a O(1)], [f O(n)], [d O(n)]).
+<P>
+<DT><CODE>OSLBags</CODE>
+<DD>implement ordered Bags via linked lists
+([a O(n)], [f O(n)], [d O(n)]).
+<P>
+<DT><CODE>SplayBags</CODE>
+<DD>implement ordered Bags via Sleator and Tarjan's (JACM 1985)
+splay trees. The algorithms use a version of "simple top-down
+splaying" (described on page 669 of the article).
+(Amortized: [a O(log n)], [f O(log n)], [d O(log n)]).
+<P>
+<DT><CODE>VHBags</CODE>
+<DD>implement unordered Bags via hash tables.
+The tables are automatically resized when their capacity is exhausted.
+([a O(1)/O(n)], [f O(1)/O(n)], [d O(1)/O(n)]).
+<P>
+<DT><CODE>CHBags</CODE>
+<DD>implement unordered Bags via chained hash tables.
+([a O(1)/O(n)], [f O(1)/O(n)], [d O(1)/O(n)]).
+<P>
+</DL>
+<P>
+The implementations differ in whether their constructors
+require an argument to specify their initial capacity. Initial
+capacities are required for plex and hash table based Bags. If none is
+given <CODE>DEFAULT_INITIAL_CAPACITY</CODE> (from <TT>`&#60;T&#62;defs.h'</TT>) is used.<P>
+Bags support the following operations, for some class <CODE>Bag</CODE>,
+instances <CODE>a</CODE> and <CODE>b</CODE>, <CODE>Pix ind</CODE>, and base
+element <CODE>x</CODE>. Since all implementations are virtual derived classes
+of the <CODE>&#60;T&#62;Bag</CODE> class, it is possible to mix and match operations
+across different implementations, although, as usual, operations
+are generally faster when the particular classes are specified
+in functions operating on Bags.
+<P>
+Pix-based operations are more fully described in the section
+on Pixes. See section <A HREF="libgpp.html#SEC15">Pseudo-indexes</A>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Bag a; or Bag a(int initial_size)</CODE>
+<DD>Declares a to be an empty Bag. The second version is allowed in
+Bag classes that require initial capacity or sizing specifications.
+<P>
+<DT><CODE>a.empty()</CODE>
+<DD>returns true if a is empty.
+<P>
+<DT><CODE>a.length()</CODE>
+<DD>returns the number of elements in a.
+<P>
+<DT><CODE>ind = a.add(x)</CODE>
+<DD>inserts x into a, returning its index.
+<P>
+<DT><CODE>a.del(x)</CODE>
+<DD>deletes one occurrence of x from a.
+<P>
+<DT><CODE>a.remove(x)</CODE>
+<DD>deletes all occurrences of x from a.
+<P>
+<DT><CODE>a.clear()</CODE>
+<DD>deletes all elements from a;
+<P>
+<DT><CODE>a.contains(x)</CODE>
+<DD>returns true if x is in a.
+<P>
+<DT><CODE>a.nof(x)</CODE>
+<DD>returns the number of occurrences of x in a.
+<P>
+<DT><CODE>a(ind)</CODE>
+<DD>returns a reference to the item indexed by ind.
+<P>
+<DT><CODE>int = a.first()</CODE>
+<DD>returns the Pix of first item in the Bag or 0 if the Bag is empty.
+For ordered Bags, this is the Pix of the least element.
+<P>
+<DT><CODE>a.next(ind)</CODE>
+<DD>advances ind to the Pix of next element, or 0 if there are no more.
+<P>
+<DT><CODE>ind = a.seek(x. Pix from = 0)</CODE>
+<DD>Sets ind to the Pix of the next occurrence x, or 0 if there are none.
+If from is 0, the first occurrence is returned, else the following from.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC86" HREF="libgpp_toc.html#SEC86">Map Class Prototypes</A></H1>
+<P>
+Maps support associative array operations (insertion, deletion, and
+membership of records based on an associated key). They require
+the specification of two types, the key type and the contents type.
+<P>
+These are currently implemented in several ways, differing in
+representation strategy, algorithmic efficiency, and appropriateness for
+various tasks. (Listed next to each are average (followed by worst-case,
+if different) time complexities for [a] accessing (via op [],
+contains), [d] deleting elements).
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>AVLMaps</CODE>
+<DD>implement ordered Maps via threaded AVL trees
+([a O(log n)], [d O(log n)]).
+<P>
+<DT><CODE>RAVLMaps</CODE>
+<DD>Similar, but also maintain ranking information, used via
+<CODE>ranktoPix(int r)</CODE>, that returns the <CODE>Pix</CODE> of the
+item at rank r, and <CODE>rank(key)</CODE> that returns the
+rank of the corresponding item.
+([a O(log n)], [d O(log n)]).
+<P>
+<DT><CODE>SplayMaps</CODE>
+<DD>implement ordered Maps via Sleator and Tarjan's (JACM 1985)
+splay trees. The algorithms use a version of "simple top-down
+splaying" (described on page 669 of the article).
+(Amortized: [a O(log n)], [d O(log n)]).
+<P>
+<DT><CODE>VHMaps</CODE>
+<DD>implement unordered Maps via hash tables.
+The tables are automatically resized when their capacity is exhausted.
+([a O(1)/O(n)], [d O(1)/O(n)]).
+<P>
+<DT><CODE>CHMaps</CODE>
+<DD>implement unordered Maps via chained hash tables.
+([a O(1)/O(n)], [d O(1)/O(n)]).
+<P>
+</DL>
+<P>
+The different implementations differ in whether their constructors
+require an argument specifying their initial capacity. Initial
+capacities are required for hash table based Maps. If none is
+given <CODE>DEFAULT_INITIAL_CAPACITY</CODE> (from <TT>`&#60;T&#62;defs.h'</TT>) is
+used.<P>
+All Map classes share the following operations (for some Map class,
+<CODE>Map</CODE> instance <CODE>d</CODE>, <CODE>Pix ind</CODE> and key variable <CODE>k</CODE>,
+and contents variable <CODE>x</CODE>).
+<P>
+Pix-based operations are more fully described in the section
+on Pixes. See section <A HREF="libgpp.html#SEC15">Pseudo-indexes</A>
+<P>
+<DL COMPACT>
+<P>
+<DT><CODE>Map d(x); Map d(x, int initial_capacity)</CODE>
+<DD>Declare d to be an empty Map. The required argument, x, specifies
+the default contents, i.e., the contents of an otherwise
+uninitialized location. The second version, specifying
+initial capacity is allowed for Maps with an initial capacity
+argument.
+<P>
+<DT><CODE>d.empty()</CODE>
+<DD>returns true if d contains no items.
+<P>
+<DT><CODE>d.length()</CODE>
+<DD>returns the number of items in d.
+<P>
+<DT><CODE>d[k]</CODE>
+<DD>returns a reference to the contents of item with key k. If no
+such item exists, it is installed with the default contents.
+Thus d[k] = x installs x, and x = d[k] retrieves it.
+<P>
+<DT><CODE>d.contains(k)</CODE>
+<DD>returns true if an item with key field k exists in d.
+<P>
+<DT><CODE>d.del(k)</CODE>
+<DD>deletes the item with key k.
+<P>
+<DT><CODE>d.clear()</CODE>
+<DD>deletes all items from the table.
+<P>
+<DT><CODE>x = d.dflt()</CODE>
+<DD>returns the default contents.
+<P>
+<DT><CODE>k = d.key(ind)</CODE>
+<DD>returns a reference to the key at Pix ind.
+<P>
+<DT><CODE>x = d.contents(ind)</CODE>
+<DD>returns a reference to the contents at Pix ind.
+<P>
+<DT><CODE>ind = d.first()</CODE>
+<DD>returns the Pix of the first element in d, or 0 if d is empty.
+<P>
+<DT><CODE>d.next(ind)</CODE>
+<DD>advances ind to the next element, or 0 if there are no more.
+<P>
+<DT><CODE>ind = d.seek(k)</CODE>
+<DD>returns the Pix of element with key k, or 0 if k is not in d.
+<P>
+</DL>
+<P>
+<H1><A NAME="SEC87" HREF="libgpp_toc.html#SEC87">C++ version of the GNU getopt function</A></H1>
+<P>
+The GetOpt class provides an efficient and structured mechanism for
+processing command-line options from an application program. The sample
+program fragment below illustrates a typical use of the GetOpt class
+for some hypothetical application program:
+<P>
+<PRE>
+#include &#60;stdio.h&#62;
+#include &#60;GetOpt.h&#62;
+//...
+int debug_flag, compile_flag, size_in_bytes;
+
+int
+main (int argc, char **argv)
+{
+ // Invokes ctor `GetOpt (int argc, char **argv,
+ // char *optstring);'
+ GetOpt getopt (argc, argv, "dcs:");
+ int option_char;
+
+ // Invokes member function `int operator ()(void);'
+ while ((option_char = getopt ()) != EOF)
+ switch (option_char)
+ {
+ case 'd': debug_flag = 1; break;
+ case 'c': compile_flag = 1; break;
+ case 's': size_in_bytes = atoi (getopt.optarg); break;
+ case '?': fprintf (stderr,
+ "usage: %s [dcs&#60;size&#62;]\n", argv[0]);
+ }
+}
+</PRE>
+<P>
+Unlike the C library version, the libg++ GetOpt class uses its
+constructor to initialize class data members containing the argument
+count, argument vector, and the option string. This simplifies the
+interface for each subsequent call to member function <CODE>int operator
+()(void)</CODE>.
+<P>
+The C version, on the other hand, uses hidden static variables to retain
+the option string and argument list values between calls to
+<CODE>getopt</CODE>. This complicates the <CODE>getopt</CODE> interface since the
+argument count, argument vector, and option string must be passed as
+parameters for each invocation. For the C version, the loop in the
+previous example becomes:
+<P>
+<PRE>
+ while ((option_char = getopt (argc, argv, "dcs:")) != EOF)
+ // ...
+</PRE>
+<P>
+which requires extra overhead to pass the parameters for every call.
+<P>
+Along with the GetOpt constructor and <CODE>int operator ()(void)</CODE>,
+the other relevant elements of class GetOpt are:
+<P>
+<DL COMPACT>
+<DT><CODE>char *optarg</CODE>
+<DD>Used for communication from <CODE>operator ()(void)</CODE> to the caller.
+When <CODE>operator ()(void)</CODE> finds an option that takes an argument, the
+argument value is stored here.
+<DT><CODE>int optind</CODE>
+<DD>Index in <CODE>argv</CODE> of the next element to be scanned.
+This is used for communication to and from the caller
+and for communication between successive calls to <CODE>operator ()(void)</CODE>.
+
+When <CODE>operator ()(void)</CODE> returns EOF, this is the index of the
+first of the non-option elements that the caller should itself scan.
+
+Otherwise, <CODE>optind</CODE> communicates from one call to the next how much
+of <CODE>argv</CODE> has been scanned so far.
+</DL>
+<P>
+The libg++ version of GetOpt acts like standard UNIX <CODE>getopt</CODE> for
+the calling routine, but it behaves differently for the user, since it
+allows the user to intersperse the options with the other arguments.
+
+As GetOpt works, it permutes the elements of <CODE>argv</CODE> so that, when
+it is done, all the options precede everything else. Thus all
+application programs are extended to handle flexible argument order.
+<P>
+Setting the environment variable _POSIX_OPTION_ORDER disables
+permutation. Then the behavior is completely standard.
+<P>
+<H1><A NAME="SEC88" HREF="libgpp_toc.html#SEC88">Projects and other things left to do</A></H1>
+<P>
+<H2><A NAME="SEC89" HREF="libgpp_toc.html#SEC89">Coming Attractions</A></H2>
+<P>
+Some things that will probably be available in libg++ in the near future:
+<P>
+<UL>
+<P>
+<LI>
+Revamped C-compatibility header files that will be compatible with
+the forthcoming (ANSI-based) GNU libc.a
+<P>
+<LI>
+A revision of the File-based classes that will use the GNU stdio library,
+and also be 100% compatible (even at the streambuf level) with the AT&#38;T
+2.0 stream classes.
+<P>
+<LI>
+Additional container class prototypes.
+<P>
+<LI>
+generic Matrix class prototypes.
+<P>
+<LI>
+A task package probably based on Dirk Grunwald's threads package.
+<P>
+</UL>
+<P>
+<H2><A NAME="SEC90" HREF="libgpp_toc.html#SEC90">Wish List</A></H2>
+<P>
+Some things that people have mentioned that they would like to
+see in libg++, but for which there have not been any offers:
+<P>
+<UL>
+<P>
+<LI>
+A method to automatically convert or incorporate libg++ classes
+so they can be used directly in Gorlen's OOPS environment.
+<P>
+<LI>
+A class browser.
+<P>
+<LI>
+A better general exception-handling strategy.
+<P>
+<LI>
+Better documentation.
+<P>
+</UL>
+<P>
+<H2><A NAME="SEC91" HREF="libgpp_toc.html#SEC91">How to contribute</A></H2>
+<P>
+Programmers who have written C++ classes that they believe to
+be of general interest are encourage to write to dl at rocky.oswego.edu.
+Contributing code is not difficult. Here are some general guidelines:
+<P>
+<UL>
+<P>
+<LI>
+FSF must maintain the right to accept or reject potential contributions.
+Generally, the only reasons for rejecting contributions are cases where
+they duplicate existing or nearly-released code, contain unremovable
+specific machine dependencies, or are somehow incompatible with the
+rest of the library.
+<P>
+<LI>
+Acceptance of contributions means that the code is accepted for adaptation
+into libg++. FSF must reserve the right to make various editorial changes
+in code. Very often, this merely entails formatting, maintenance of various
+conventions, etc. Contributors are always given authorship credit and shown
+the final version for approval.
+<P>
+<LI>
+Contributors must assign their copyright to FSF via a form sent out
+upon acceptance. Assigning copyright to FSF ensures that the code
+may be freely distributed.
+<P>
+<LI>
+Assistance in providing documentation, test files, and debugging
+support is strongly encouraged.
+<P>
+</UL>
+<P>
+Extensions, comments, and suggested modifications of existing libg++
+features are also very welcome.
diff --git a/reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp_toc.html b/reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp_toc.html
new file mode 100644
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+++ b/reference/CPLUSPLUS/CONTRIB/GNU_STDLIB/libgpp_toc.html
@@ -0,0 +1,124 @@
+<!-- This HTML file has been created by texi2html 1.27
+ from libgpp.texi on 3 March 1994 -->
+
+<TITLE>to the GNU C++ Library - Table of Contents</TITLE>
+<H1>to the GNU C++ Library</H1>
+<H2>last updated April 29, 1992</H2>
+<H2>for version 2.0</H2>
+<ADDRESS>Doug Lea (dl@g.oswego.edu)</ADDRESS>
+<P>
+<UL>
+<LI><A NAME="SEC1" HREF="libgpp.html#SEC1">GNU LIBRARY GENERAL PUBLIC LICENSE</A>
+<UL>
+<LI><A NAME="SEC2" HREF="libgpp.html#SEC2">Preamble</A>
+<LI><A NAME="SEC3" HREF="libgpp.html#SEC3">TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION</A>
+<LI><A NAME="SEC4" HREF="libgpp.html#SEC4">How to Apply These Terms to Your New Libraries</A>
+</UL>
+<LI><A NAME="SEC5" HREF="libgpp.html#SEC5">Contributors to GNU C++ library</A>
+<LI><A NAME="SEC6" HREF="libgpp.html#SEC6">Installing GNU C++ library</A>
+<LI><A NAME="SEC7" HREF="libgpp.html#SEC7">Trouble in Installation</A>
+<LI><A NAME="SEC8" HREF="libgpp.html#SEC8">GNU C++ library aims, objectives, and limitations</A>
+<LI><A NAME="SEC9" HREF="libgpp.html#SEC9">GNU C++ library stylistic conventions</A>
+<LI><A NAME="SEC10" HREF="libgpp.html#SEC10">Support for representation invariants</A>
+<LI><A NAME="SEC11" HREF="libgpp.html#SEC11">Introduction to container class prototypes</A>
+<UL>
+<LI><A NAME="SEC12" HREF="libgpp.html#SEC12">Example</A>
+</UL>
+<LI><A NAME="SEC13" HREF="libgpp.html#SEC13">Variable-Sized Object Representation</A>
+<LI><A NAME="SEC14" HREF="libgpp.html#SEC14">Some guidelines for using expression-oriented classes</A>
+<LI><A NAME="SEC15" HREF="libgpp.html#SEC15">Pseudo-indexes</A>
+<LI><A NAME="SEC16" HREF="libgpp.html#SEC16">Header files for interfacing C++ to C</A>
+<LI><A NAME="SEC17" HREF="libgpp.html#SEC17">Utility functions for built in types</A>
+<LI><A NAME="SEC18" HREF="libgpp.html#SEC18">Library dynamic allocation primitives</A>
+<LI><A NAME="SEC19" HREF="libgpp.html#SEC19">The new input/output classes</A>
+<LI><A NAME="SEC20" HREF="libgpp.html#SEC20">The old I/O library</A>
+<UL>
+<LI><A NAME="SEC21" HREF="libgpp.html#SEC21">File-based classes</A>
+<LI><A NAME="SEC22" HREF="libgpp.html#SEC22">Basic IO</A>
+<LI><A NAME="SEC23" HREF="libgpp.html#SEC23">File Control</A>
+<LI><A NAME="SEC24" HREF="libgpp.html#SEC24">File Status</A>
+</UL>
+<LI><A NAME="SEC25" HREF="libgpp.html#SEC25">The Obstack class</A>
+<LI><A NAME="SEC26" HREF="libgpp.html#SEC26">The AllocRing class</A>
+<LI><A NAME="SEC27" HREF="libgpp.html#SEC27">The String class</A>
+<UL>
+<LI><A NAME="SEC28" HREF="libgpp.html#SEC28">Constructors</A>
+<LI><A NAME="SEC29" HREF="libgpp.html#SEC29">Examples</A>
+<LI><A NAME="SEC30" HREF="libgpp.html#SEC30">Comparing, Searching and Matching</A>
+<LI><A NAME="SEC31" HREF="libgpp.html#SEC31">Substring extraction</A>
+<LI><A NAME="SEC32" HREF="libgpp.html#SEC32">Concatenation</A>
+<LI><A NAME="SEC33" HREF="libgpp.html#SEC33">Other manipulations</A>
+<LI><A NAME="SEC34" HREF="libgpp.html#SEC34">Reading, Writing and Conversion</A>
+</UL>
+<LI><A NAME="SEC35" HREF="libgpp.html#SEC35">The Integer class.</A>
+<LI><A NAME="SEC36" HREF="libgpp.html#SEC36">The Rational Class</A>
+<LI><A NAME="SEC37" HREF="libgpp.html#SEC37">The Complex class.</A>
+<LI><A NAME="SEC38" HREF="libgpp.html#SEC38">Fixed precision numbers</A>
+<LI><A NAME="SEC39" HREF="libgpp.html#SEC39">Classes for Bit manipulation</A>
+<UL>
+<LI><A NAME="SEC40" HREF="libgpp.html#SEC40">BitSet</A>
+<LI><A NAME="SEC41" HREF="libgpp.html#SEC41">BitString</A>
+</UL>
+<LI><A NAME="SEC42" HREF="libgpp.html#SEC42">Random Number Generators and related classes</A>
+<UL>
+<LI><A NAME="SEC43" HREF="libgpp.html#SEC43">RNG</A>
+<LI><A NAME="SEC44" HREF="libgpp.html#SEC44">ACG</A>
+<LI><A NAME="SEC45" HREF="libgpp.html#SEC45">MLCG</A>
+<LI><A NAME="SEC46" HREF="libgpp.html#SEC46">Random</A>
+<LI><A NAME="SEC47" HREF="libgpp.html#SEC47">Binomial</A>
+<LI><A NAME="SEC48" HREF="libgpp.html#SEC48">Erlang</A>
+<LI><A NAME="SEC49" HREF="libgpp.html#SEC49">Geometric</A>
+<LI><A NAME="SEC50" HREF="libgpp.html#SEC50">HyperGeometric</A>
+<LI><A NAME="SEC51" HREF="libgpp.html#SEC51">NegativeExpntl</A>
+<LI><A NAME="SEC52" HREF="libgpp.html#SEC52">Normal</A>
+<LI><A NAME="SEC53" HREF="libgpp.html#SEC53">LogNormal</A>
+<LI><A NAME="SEC54" HREF="libgpp.html#SEC54">Poisson</A>
+<LI><A NAME="SEC55" HREF="libgpp.html#SEC55">DiscreteUniform</A>
+<LI><A NAME="SEC56" HREF="libgpp.html#SEC56">Uniform</A>
+<LI><A NAME="SEC57" HREF="libgpp.html#SEC57">Weibull</A>
+<LI><A NAME="SEC58" HREF="libgpp.html#SEC58">RandomInteger</A>
+</UL>
+<LI><A NAME="SEC59" HREF="libgpp.html#SEC59">Data Collection</A>
+<UL>
+<LI><A NAME="SEC60" HREF="libgpp.html#SEC60">SampleStatistic</A>
+<LI><A NAME="SEC61" HREF="libgpp.html#SEC61">SampleHistogram</A>
+</UL>
+<LI><A NAME="SEC62" HREF="libgpp.html#SEC62">Curses-based classes</A>
+<LI><A NAME="SEC63" HREF="libgpp.html#SEC63">List classes</A>
+<UL>
+<LI><A NAME="SEC64" HREF="libgpp.html#SEC64">Constructors and assignment</A>
+<LI><A NAME="SEC65" HREF="libgpp.html#SEC65">List status</A>
+<LI><A NAME="SEC66" HREF="libgpp.html#SEC66">heads and tails</A>
+<LI><A NAME="SEC67" HREF="libgpp.html#SEC67">Constructive operations</A>
+<LI><A NAME="SEC68" HREF="libgpp.html#SEC68">Destructive operations</A>
+<LI><A NAME="SEC69" HREF="libgpp.html#SEC69">Other operations</A>
+</UL>
+<LI><A NAME="SEC70" HREF="libgpp.html#SEC70">Linked Lists</A>
+<UL>
+<LI><A NAME="SEC71" HREF="libgpp.html#SEC71">Doubly linked lists</A>
+</UL>
+<LI><A NAME="SEC72" HREF="libgpp.html#SEC72">Vector classes</A>
+<UL>
+<LI><A NAME="SEC73" HREF="libgpp.html#SEC73">Constructors and assignment</A>
+<LI><A NAME="SEC74" HREF="libgpp.html#SEC74">Status and access</A>
+<LI><A NAME="SEC75" HREF="libgpp.html#SEC75">Constructive operations</A>
+<LI><A NAME="SEC76" HREF="libgpp.html#SEC76">Destructive operations</A>
+<LI><A NAME="SEC77" HREF="libgpp.html#SEC77">Other operations</A>
+<LI><A NAME="SEC78" HREF="libgpp.html#SEC78">AVec operations.</A>
+</UL>
+<LI><A NAME="SEC79" HREF="libgpp.html#SEC79">Plex classes</A>
+<LI><A NAME="SEC80" HREF="libgpp.html#SEC80">Stacks</A>
+<LI><A NAME="SEC81" HREF="libgpp.html#SEC81">Queues</A>
+<LI><A NAME="SEC82" HREF="libgpp.html#SEC82">Double ended Queues</A>
+<LI><A NAME="SEC83" HREF="libgpp.html#SEC83">Priority Queue class prototypes.</A>
+<LI><A NAME="SEC84" HREF="libgpp.html#SEC84">Set class prototypes</A>
+<LI><A NAME="SEC85" HREF="libgpp.html#SEC85">Bag class prototypes</A>
+<LI><A NAME="SEC86" HREF="libgpp.html#SEC86">Map Class Prototypes</A>
+<LI><A NAME="SEC87" HREF="libgpp.html#SEC87">C++ version of the GNU getopt function</A>
+<LI><A NAME="SEC88" HREF="libgpp.html#SEC88">Projects and other things left to do</A>
+<UL>
+<LI><A NAME="SEC89" HREF="libgpp.html#SEC89">Coming Attractions</A>
+<LI><A NAME="SEC90" HREF="libgpp.html#SEC90">Wish List</A>
+<LI><A NAME="SEC91" HREF="libgpp.html#SEC91">How to contribute</A>
+</UL>
+</UL>
diff --git a/reference/CPLUSPLUS/CONTRIB/Makefile.am b/reference/CPLUSPLUS/CONTRIB/Makefile.am
new file mode 100644
index 0000000..d2085b4
--- /dev/null
+++ b/reference/CPLUSPLUS/CONTRIB/Makefile.am
@@ -0,0 +1,6 @@
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diff --git a/reference/CPLUSPLUS/CONTRIB/Makefile.in b/reference/CPLUSPLUS/CONTRIB/Makefile.in
new file mode 100644
index 0000000..6b7bb79
--- /dev/null
+++ b/reference/CPLUSPLUS/CONTRIB/Makefile.in
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+ distclean-generic distclean-libtool distclean-recursive \
+ distclean-tags distdir dvi dvi-am dvi-recursive info info-am \
+ info-recursive install install-am install-data install-data-am \
+ install-data-recursive install-docsDATA install-exec \
+ install-exec-am install-exec-recursive install-info \
+ install-info-am install-info-recursive install-man \
+ install-recursive install-strip installcheck installcheck-am \
+ installdirs installdirs-am installdirs-recursive \
+ maintainer-clean maintainer-clean-generic \
+ maintainer-clean-recursive mostlyclean mostlyclean-generic \
+ mostlyclean-libtool mostlyclean-recursive tags tags-recursive \
+ uninstall uninstall-am uninstall-docsDATA uninstall-info-am \
+ uninstall-info-recursive uninstall-recursive
+
+# Tell versions [3.59,3.63) of GNU make to not export all variables.
+# Otherwise a system limit (for SysV at least) may be exceeded.
+.NOEXPORT:
+
+#>+ 2
+docs-am:
+
+#>+ 6
+force-reedit:
+ cd $(top_srcdir) && \
+ $(AUTOMAKE) --gnu reference/CPLUSPLUS/CONTRIB/Makefile
+ cd $(top_srcdir) && perl admin/am_edit reference/CPLUSPLUS/CONTRIB/Makefile.in
+
+
+#>+ 2
+final:
+ $(MAKE) all-am
+#>+ 2
+final-install:
+ $(MAKE) install-am
+#>+ 2
+no-final:
+ $(MAKE) all-am
+#>+ 2
+no-final-install:
+ $(MAKE) install-am
+#>+ 3
+cvs-clean:
+ $(MAKE) -f $(top_srcdir)/admin/Makefile.common cvs-clean
+
+#>+ 3
+kde-rpo-clean:
+ -rm -f *.rpo
diff --git a/reference/CPLUSPLUS/CONTRIB/intro.html b/reference/CPLUSPLUS/CONTRIB/intro.html
new file mode 100644
index 0000000..1bf1b86
--- /dev/null
+++ b/reference/CPLUSPLUS/CONTRIB/intro.html
@@ -0,0 +1,23 @@
+<html>
+<title>C++ Internet References.</title>
+
+<head>
+</head>
+
+<body>
+<hr>
+<center>
+<h1>C++ Internet References.</h1>
+</center>
+<hr>
+<p>
+Goodies I have found on the net.
+<p>
+<hr>
+
+<img src=../../GRAPHICS/whiteball.gif>
+<a href="GNU_STDLIB/libgpp_toc.html">GNU Standard C++ library.</a> Found at
+<a href="http://www.cs.utah.edu/csinfo/texinfo/"><img align=center height="70" width="90" hspace=10 src=../../GRAPHICS/utah.gif></a>
+
+</body>
+</html>