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+package overload;
+
+sub OVERLOAD {
+ $package = shift;
+ my %arg = @_;
+ my $hash = \%{$package . "::OVERLOAD"};
+ for (keys %arg) {
+ $hash->{$_} = $arg{$_};
+ }
+}
+
+sub import {
+ $package = (caller())[0];
+ # *{$package . "::OVERLOAD"} = \&OVERLOAD;
+ shift;
+ $package->overload::OVERLOAD(@_);
+}
+
+sub unimport {
+ $package = (caller())[0];
+ my $hash = \%{$package . "::OVERLOAD"};
+ shift;
+ for (@_) {
+ delete $hash->{$_};
+ }
+}
+
+sub Overloaded {
+ defined ($package = ref $_[0]) and defined %{$package . "::OVERLOAD"};
+}
+
+sub OverloadedStringify {
+ defined ($package = ref $_[0]) and
+ defined %{$package . "::OVERLOAD"} and
+ exists $ {$package . "::OVERLOAD"}{'""'} and
+ defined &{$ {$package . "::OVERLOAD"}{'""'}};
+}
+
+sub Method {
+ defined ($package = ref $_[0]) and
+ defined %{$package . "::OVERLOAD"} and
+ $ {$package . "::OVERLOAD"}{$_[1]};
+}
+
+sub AddrRef {
+ $package = ref $_[0];
+ bless $_[0], Overload::Fake; # Non-overloaded package
+ my $str = "$_[0]";
+ bless $_[0], $package; # Back
+ $str;
+}
+
+sub StrVal {
+ (OverloadedStringify) ?
+ (AddrRef) :
+ "$_[0]";
+}
+
+1;
+
+__END__
+
+=head1 NAME
+
+C<overload.pm> - Package for overloading perl operations
+
+=head1 SYNOPSIS
+
+ package SomeThing;
+
+ use overload
+ '+' => \&myadd,
+ '-' => \&mysub;
+ # etc
+ ...
+
+ package main;
+ $a = new SomeThing 57;
+ $b=5+$a;
+ ...
+ if (overload::Overloaded $b) {...}
+ ...
+ $strval = overload::StrVal $b;
+
+=head1 CAVEAT SCRIPTOR
+
+Overloading of operators is a subject not to be taken lightly.
+Neither its precise implementation, syntax, nor semantics are
+100% endorsed by Larry Wall. So any of these may be changed
+at some point in the future.
+
+=head1 DESCRIPTION
+
+=head2 Declaration of overloaded functions
+
+The compilation directive
+
+ package Number;
+ use overload
+ "+" => \&add,
+ "*=" => "muas";
+
+declares function Number::add() for addition, and method muas() in
+the "class" C<Number> (or one of its base classes)
+for the assignment form C<*=> of multiplication.
+
+Arguments of this directive come in (key, value) pairs. Legal values
+are values legal inside a C<&{ ... }> call, so the name of a subroutine,
+a reference to a subroutine, or an anonymous subroutine will all work.
+Legal keys are listed below.
+
+The subroutine C<add> will be called to execute C<$a+$b> if $a
+is a reference to an object blessed into the package C<Number>, or if $a is
+not an object from a package with defined mathemagic addition, but $b is a
+reference to a C<Number>. It can also be called in other situations, like
+C<$a+=7>, or C<$a++>. See L<MAGIC AUTOGENERATION>. (Mathemagical
+methods refer to methods triggered by an overloaded mathematical
+operator.)
+
+=head2 Calling Conventions for Binary Operations
+
+The functions specified in the C<use overload ...> directive are called
+with three (in one particular case with four, see L<Last Resort>)
+arguments. If the corresponding operation is binary, then the first
+two arguments are the two arguments of the operation. However, due to
+general object calling conventions, the first argument should always be
+an object in the package, so in the situation of C<7+$a>, the
+order of the arguments is interchanged. It probably does not matter
+when implementing the addition method, but whether the arguments
+are reversed is vital to the subtraction method. The method can
+query this information by examining the third argument, which can take
+three different values:
+
+=over 7
+
+=item FALSE
+
+the order of arguments is as in the current operation.
+
+=item TRUE
+
+the arguments are reversed.
+
+=item C<undef>
+
+the current operation is an assignment variant (as in
+C<$a+=7>), but the usual function is called instead. This additional
+information can be used to generate some optimizations.
+
+=back
+
+=head2 Calling Conventions for Unary Operations
+
+Unary operation are considered binary operations with the second
+argument being C<undef>. Thus the functions that overloads C<{"++"}>
+is called with arguments C<($a,undef,'')> when $a++ is executed.
+
+=head2 Overloadable Operations
+
+The following symbols can be specified in C<use overload>:
+
+=over 5
+
+=item * I<Arithmetic operations>
+
+ "+", "+=", "-", "-=", "*", "*=", "/", "/=", "%", "%=",
+ "**", "**=", "<<", "<<=", ">>", ">>=", "x", "x=", ".", ".=",
+
+For these operations a substituted non-assignment variant can be called if
+the assignment variant is not available. Methods for operations "C<+>",
+"C<->", "C<+=>", and "C<-=>" can be called to automatically generate
+increment and decrement methods. The operation "C<->" can be used to
+autogenerate missing methods for unary minus or C<abs>.
+
+=item * I<Comparison operations>
+
+ "<", "<=", ">", ">=", "==", "!=", "<=>",
+ "lt", "le", "gt", "ge", "eq", "ne", "cmp",
+
+If the corresponding "spaceship" variant is available, it can be
+used to substitute for the missing operation. During C<sort>ing
+arrays, C<cmp> is used to compare values subject to C<use overload>.
+
+=item * I<Bit operations>
+
+ "&", "^", "|", "neg", "!", "~",
+
+"C<neg>" stands for unary minus. If the method for C<neg> is not
+specified, it can be autogenerated using the method for subtraction.
+
+=item * I<Increment and decrement>
+
+ "++", "--",
+
+If undefined, addition and subtraction methods can be
+used instead. These operations are called both in prefix and
+postfix form.
+
+=item * I<Transcendental functions>
+
+ "atan2", "cos", "sin", "exp", "abs", "log", "sqrt",
+
+If C<abs> is unavailable, it can be autogenerated using methods
+for "<" or "<=>" combined with either unary minus or subtraction.
+
+=item * I<Boolean, string and numeric conversion>
+
+ "bool", "\"\"", "0+",
+
+If one or two of these operations are unavailable, the remaining ones can
+be used instead. C<bool> is used in the flow control operators
+(like C<while>) and for the ternary "C<?:>" operation. These functions can
+return any arbitrary Perl value. If the corresponding operation for this value
+is overloaded too, that operation will be called again with this value.
+
+=item * I<Special>
+
+ "nomethod", "fallback", "=",
+
+see L<SPECIAL SYMBOLS FOR C<use overload>>.
+
+=back
+
+See L<"Fallback"> for an explanation of when a missing method can be autogenerated.
+
+=head1 SPECIAL SYMBOLS FOR C<use overload>
+
+Three keys are recognized by Perl that are not covered by the above
+description.
+
+=head2 Last Resort
+
+C<"nomethod"> should be followed by a reference to a function of four
+parameters. If defined, it is called when the overloading mechanism
+cannot find a method for some operation. The first three arguments of
+this function coincide with the arguments for the corresponding method if
+it were found, the fourth argument is the symbol
+corresponding to the missing method. If several methods are tried,
+the last one is used. Say, C<1-$a> can be equivalent to
+
+ &nomethodMethod($a,1,1,"-")
+
+if the pair C<"nomethod" =E<gt> "nomethodMethod"> was specified in the
+C<use overload> directive.
+
+If some operation cannot be resolved, and there is no function
+assigned to C<"nomethod">, then an exception will be raised via die()--
+unless C<"fallback"> was specified as a key in C<use overload> directive.
+
+=head2 Fallback
+
+The key C<"fallback"> governs what to do if a method for a particular
+operation is not found. Three different cases are possible depending on
+the value of C<"fallback">:
+
+=over 16
+
+=item * C<undef>
+
+Perl tries to use a
+substituted method (see L<MAGIC AUTOGENERATION>). If this fails, it
+then tries to calls C<"nomethod"> value; if missing, an exception
+will be raised.
+
+=item * TRUE
+
+The same as for the C<undef> value, but no exception is raised. Instead,
+it silently reverts to what it would have done were there no C<use overload>
+present.
+
+=item * defined, but FALSE
+
+No autogeneration is tried. Perl tries to call
+C<"nomethod"> value, and if this is missing, raises an exception.
+
+=back
+
+=head2 Copy Constructor
+
+The value for C<"="> is a reference to a function with three
+arguments, i.e., it looks like the other values in C<use
+overload>. However, it does not overload the Perl assignment
+operator. This would go against Camel hair.
+
+This operation is called in the situations when a mutator is applied
+to a reference that shares its object with some other reference, such
+as
+
+ $a=$b;
+ $a++;
+
+To make this change $a and not change $b, a copy of C<$$a> is made,
+and $a is assigned a reference to this new object. This operation is
+done during execution of the C<$a++>, and not during the assignment,
+(so before the increment C<$$a> coincides with C<$$b>). This is only
+done if C<++> is expressed via a method for C<'++'> or C<'+='>. Note
+that if this operation is expressed via C<'+'> a nonmutator, i.e., as
+in
+
+ $a=$b;
+ $a=$a+1;
+
+then C<$a> does not reference a new copy of C<$$a>, since $$a does not
+appear as lvalue when the above code is executed.
+
+If the copy constructor is required during the execution of some mutator,
+but a method for C<'='> was not specified, it can be autogenerated as a
+string copy if the object is a plain scalar.
+
+=over 5
+
+=item B<Example>
+
+The actually executed code for
+
+ $a=$b;
+ Something else which does not modify $a or $b....
+ ++$a;
+
+may be
+
+ $a=$b;
+ Something else which does not modify $a or $b....
+ $a = $a->clone(undef,"");
+ $a->incr(undef,"");
+
+if $b was mathemagical, and C<'++'> was overloaded with C<\&incr>,
+C<'='> was overloaded with C<\&clone>.
+
+=back
+
+=head1 MAGIC AUTOGENERATION
+
+If a method for an operation is not found, and the value for C<"fallback"> is
+TRUE or undefined, Perl tries to autogenerate a substitute method for
+the missing operation based on the defined operations. Autogenerated method
+substitutions are possible for the following operations:
+
+=over 16
+
+=item I<Assignment forms of arithmetic operations>
+
+C<$a+=$b> can use the method for C<"+"> if the method for C<"+=">
+is not defined.
+
+=item I<Conversion operations>
+
+String, numeric, and boolean conversion are calculated in terms of one
+another if not all of them are defined.
+
+=item I<Increment and decrement>
+
+The C<++$a> operation can be expressed in terms of C<$a+=1> or C<$a+1>,
+and C<$a--> in terms of C<$a-=1> and C<$a-1>.
+
+=item C<abs($a)>
+
+can be expressed in terms of C<$aE<lt>0> and C<-$a> (or C<0-$a>).
+
+=item I<Unary minus>
+
+can be expressed in terms of subtraction.
+
+=item I<Concatenation>
+
+can be expressed in terms of string conversion.
+
+=item I<Comparison operations>
+
+can be expressed in terms of its "spaceship" counterpart: either
+C<E<lt>=E<gt>> or C<cmp>:
+
+ <, >, <=, >=, ==, != in terms of <=>
+ lt, gt, le, ge, eq, ne in terms of cmp
+
+=item I<Copy operator>
+
+can be expressed in terms of an assignment to the dereferenced value, if this
+value is a scalar and not a reference.
+
+=back
+
+=head1 WARNING
+
+The restriction for the comparison operation is that even if, for example,
+`C<cmp>' should return a blessed reference, the autogenerated `C<lt>'
+function will produce only a standard logical value based on the
+numerical value of the result of `C<cmp>'. In particular, a working
+numeric conversion is needed in this case (possibly expressed in terms of
+other conversions).
+
+Similarly, C<.=> and C<x=> operators lose their mathemagical properties
+if the string conversion substitution is applied.
+
+When you chop() a mathemagical object it is promoted to a string and its
+mathemagical properties are lost. The same can happen with other
+operations as well.
+
+=head1 Run-time Overloading
+
+Since all C<use> directives are executed at compile-time, the only way to
+change overloading during run-time is to
+
+ eval 'use overload "+" => \&addmethod';
+
+You can also use
+
+ eval 'no overload "+", "--", "<="';
+
+though the use of these constructs during run-time is questionable.
+
+=head1 Public functions
+
+Package C<overload.pm> provides the following public functions:
+
+=over 5
+
+=item overload::StrVal(arg)
+
+Gives string value of C<arg> as in absence of stringify overloading.
+
+=item overload::Overloaded(arg)
+
+Returns true if C<arg> is subject to overloading of some operations.
+
+=item overload::Method(obj,op)
+
+Returns C<undef> or a reference to the method that implements C<op>.
+
+=back
+
+=head1 IMPLEMENTATION
+
+What follows is subject to change RSN.
+
+The table of methods for all operations is cached as magic in the
+symbol table hash for the package. The table is rechecked for changes due to
+C<use overload>, C<no overload>, and @ISA only during
+C<bless>ing; so if they are changed dynamically, you'll need an
+additional fake C<bless>ing to update the table.
+
+(Every SVish thing has a magic queue, and magic is an entry in that queue.
+This is how a single variable may participate in multiple forms of magic
+simultaneously. For instance, environment variables regularly have two
+forms at once: their %ENV magic and their taint magic.)
+
+If an object belongs to a package using overload, it carries a special
+flag. Thus the only speed penalty during arithmetic operations without
+overloading is the checking of this flag.
+
+In fact, if C<use overload> is not present, there is almost no overhead for
+overloadable operations, so most programs should not suffer measurable
+performance penalties. A considerable effort was made to minimize the overhead
+when overload is used and the current operation is overloadable but
+the arguments in question do not belong to packages using overload. When
+in doubt, test your speed with C<use overload> and without it. So far there
+have been no reports of substantial speed degradation if Perl is compiled
+with optimization turned on.
+
+There is no size penalty for data if overload is not used.
+
+Copying (C<$a=$b>) is shallow; however, a one-level-deep copying is
+carried out before any operation that can imply an assignment to the
+object $a (or $b) refers to, like C<$a++>. You can override this
+behavior by defining your own copy constructor (see L<"Copy Constructor">).
+
+It is expected that arguments to methods that are not explicitly supposed
+to be changed are constant (but this is not enforced).
+
+=head1 AUTHOR
+
+Ilya Zakharevich <F<ilya@math.mps.ohio-state.edu>>.
+
+=head1 DIAGNOSTICS
+
+When Perl is run with the B<-Do> switch or its equivalent, overloading
+induces diagnostic messages.
+
+=head1 BUGS
+
+Because it is used for overloading, the per-package associative array
+%OVERLOAD now has a special meaning in Perl.
+
+As shipped, mathemagical properties are not inherited via the @ISA tree.
+
+This document is confusing.
+
+=cut
+