1overload(3pm)          Perl Programmers Reference Guide          overload(3pm)
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NAME

6       overload - Package for overloading Perl operations
7

SYNOPSIS

9           package SomeThing;
10
11           use overload
12               '+' => \&myadd,
13               '-' => \&mysub;
14               # etc
15           ...
16
17           package main;
18           $a = SomeThing->new( 57 );
19           $b=5+$a;
20           ...
21           if (overload::Overloaded $b) {...}
22           ...
23           $strval = overload::StrVal $b;
24

DESCRIPTION

26       This pragma allows overloading of Perl's operators for a class.  To
27       overload built-in functions, see "Overriding Built-in Functions" in
28       perlsub instead.
29
30   Declaration of overloaded functions
31       The compilation directive
32
33           package Number;
34           use overload
35               "+" => \&add,
36               "*=" => "muas";
37
38       declares function Number::add() for addition, and method muas() in the
39       "class" "Number" (or one of its base classes) for the assignment form
40       "*=" of multiplication.
41
42       Arguments of this directive come in (key, value) pairs.  Legal values
43       are values legal inside a "&{ ... }" call, so the name of a subroutine,
44       a reference to a subroutine, or an anonymous subroutine will all work.
45       Note that values specified as strings are interpreted as methods, not
46       subroutines.  Legal keys are listed below.
47
48       The subroutine "add" will be called to execute "$a+$b" if $a is a
49       reference to an object blessed into the package "Number", or if $a is
50       not an object from a package with defined mathemagic addition, but $b
51       is a reference to a "Number".  It can also be called in other
52       situations, like "$a+=7", or "$a++".  See "MAGIC AUTOGENERATION".
53       (Mathemagical methods refer to methods triggered by an overloaded
54       mathematical operator.)
55
56       Since overloading respects inheritance via the @ISA hierarchy, the
57       above declaration would also trigger overloading of "+" and "*=" in all
58       the packages which inherit from "Number".
59
60   Calling Conventions for Binary Operations
61       The functions specified in the "use overload ..." directive are called
62       with three (in one particular case with four, see "Last Resort")
63       arguments.  If the corresponding operation is binary, then the first
64       two arguments are the two arguments of the operation.  However, due to
65       general object calling conventions, the first argument should always be
66       an object in the package, so in the situation of "7+$a", the order of
67       the arguments is interchanged.  It probably does not matter when
68       implementing the addition method, but whether the arguments are
69       reversed is vital to the subtraction method.  The method can query this
70       information by examining the third argument, which can take three
71       different values:
72
73       FALSE  the order of arguments is as in the current operation.
74
75       TRUE   the arguments are reversed.
76
77       "undef"
78              the current operation is an assignment variant (as in "$a+=7"),
79              but the usual function is called instead.  This additional
80              information can be used to generate some optimizations.  Compare
81              "Calling Conventions for Mutators".
82
83   Calling Conventions for Unary Operations
84       Unary operation are considered binary operations with the second
85       argument being "undef".  Thus the functions that overloads "{"++"}" is
86       called with arguments "($a,undef,'')" when $a++ is executed.
87
88   Calling Conventions for Mutators
89       Two types of mutators have different calling conventions:
90
91       "++" and "--"
92           The routines which implement these operators are expected to
93           actually mutate their arguments.  So, assuming that $obj is a
94           reference to a number,
95
96             sub incr { my $n = $ {$_[0]}; ++$n; $_[0] = bless \$n}
97
98           is an appropriate implementation of overloaded "++".  Note that
99
100             sub incr { ++$ {$_[0]} ; shift }
101
102           is OK if used with preincrement and with postincrement. (In the
103           case of postincrement a copying will be performed, see "Copy
104           Constructor".)
105
106       "x=" and other assignment versions
107           There is nothing special about these methods.  They may change the
108           value of their arguments, and may leave it as is.  The result is
109           going to be assigned to the value in the left-hand-side if
110           different from this value.
111
112           This allows for the same method to be used as overloaded "+=" and
113           "+".  Note that this is allowed, but not recommended, since by the
114           semantic of "Fallback" Perl will call the method for "+" anyway, if
115           "+=" is not overloaded.
116
117       Warning.  Due to the presence of assignment versions of operations,
118       routines which may be called in assignment context may create self-
119       referential structures.  Currently Perl will not free self-referential
120       structures until cycles are "explicitly" broken.  You may get problems
121       when traversing your structures too.
122
123       Say,
124
125         use overload '+' => sub { bless [ \$_[0], \$_[1] ] };
126
127       is asking for trouble, since for code "$obj += $foo" the subroutine is
128       called as "$obj = add($obj, $foo, undef)", or "$obj = [\$obj, \$foo]".
129       If using such a subroutine is an important optimization, one can
130       overload "+=" explicitly by a non-"optimized" version, or switch to
131       non-optimized version if "not defined $_[2]" (see "Calling Conventions
132       for Binary Operations").
133
134       Even if no explicit assignment-variants of operators are present in the
135       script, they may be generated by the optimizer.  Say, ",$obj," or ',' .
136       $obj . ',' may be both optimized to
137
138         my $tmp = ',' . $obj;    $tmp .= ',';
139
140   Overloadable Operations
141       The following symbols can be specified in "use overload" directive:
142
143       ·    Arithmetic operations
144
145                "+", "+=", "-", "-=", "*", "*=", "/", "/=", "%", "%=",
146                "**", "**=", "<<", "<<=", ">>", ">>=", "x", "x=", ".", ".=",
147
148            For these operations a substituted non-assignment variant can be
149            called if the assignment variant is not available.  Methods for
150            operations "+", "-", "+=", and "-=" can be called to automatically
151            generate increment and decrement methods.  The operation "-" can
152            be used to autogenerate missing methods for unary minus or "abs".
153
154            See "MAGIC AUTOGENERATION", "Calling Conventions for Mutators" and
155            "Calling Conventions for Binary Operations") for details of these
156            substitutions.
157
158       ·    Comparison operations
159
160                "<",  "<=", ">",  ">=", "==", "!=", "<=>",
161                "lt", "le", "gt", "ge", "eq", "ne", "cmp",
162
163            If the corresponding "spaceship" variant is available, it can be
164            used to substitute for the missing operation.  During "sort"ing
165            arrays, "cmp" is used to compare values subject to "use overload".
166
167       ·    Bit operations
168
169                "&", "&=", "^", "^=", "|", "|=", "neg", "!", "~",
170
171            "neg" stands for unary minus.  If the method for "neg" is not
172            specified, it can be autogenerated using the method for
173            subtraction. If the method for "!" is not specified, it can be
174            autogenerated using the methods for "bool", or "", or "0+".
175
176            The same remarks in "Arithmetic operations" about assignment-
177            variants and autogeneration apply for bit operations "&", "^", and
178            "|" as well.
179
180       ·    Increment and decrement
181
182                "++", "--",
183
184            If undefined, addition and subtraction methods can be used
185            instead.  These operations are called both in prefix and postfix
186            form.
187
188       ·    Transcendental functions
189
190                "atan2", "cos", "sin", "exp", "abs", "log", "sqrt", "int"
191
192            If "abs" is unavailable, it can be autogenerated using methods for
193            "<" or "<=>" combined with either unary minus or subtraction.
194
195            Note that traditionally the Perl function int rounds to 0, thus
196            for floating-point-like types one should follow the same semantic.
197            If "int" is unavailable, it can be autogenerated using the
198            overloading of "0+".
199
200       ·    Boolean, string and numeric conversion
201
202                'bool', '""', '0+',
203
204            If one or two of these operations are not overloaded, the
205            remaining ones can be used instead.  "bool" is used in the flow
206            control operators (like "while") and for the ternary "?:"
207            operation.  These functions can return any arbitrary Perl value.
208            If the corresponding operation for this value is overloaded too,
209            that operation will be called again with this value.
210
211            As a special case if the overload returns the object itself then
212            it will be used directly. An overloaded conversion returning the
213            object is probably a bug, because you're likely to get something
214            that looks like "YourPackage=HASH(0x8172b34)".
215
216       ·    Iteration
217
218                "<>"
219
220            If not overloaded, the argument will be converted to a filehandle
221            or glob (which may require a stringification).  The same
222            overloading happens both for the read-filehandle syntax "<$var>"
223            and globbing syntax "<${var}>".
224
225            BUGS Even in list context, the iterator is currently called only
226            once and with scalar context.
227
228       ·    Matching
229
230            The key "~~" allows you to override the smart matching logic used
231            by the "~~" operator and the switch construct ("given"/"when").
232            See "switch" in perlsyn and feature.
233
234            Unusually, overloading of the smart match operator does not
235            automatically take precedence over normal smart match behaviour.
236            In particular, in the following code:
237
238                package Foo;
239                use overload '~~' => 'match';
240
241                my $obj =  Foo->new();
242                $obj ~~ [ 1,2,3 ];
243
244            the smart match does not invoke the method call like this:
245
246                $obj->match([1,2,3],0);
247
248            rather, the smart match distributive rule takes precedence, so
249            $obj is smart matched against each array element in turn until a
250            match is found, so you may see between one and three of these
251            calls instead:
252
253                $obj->match(1,0);
254                $obj->match(2,0);
255                $obj->match(3,0);
256
257            Consult the match table in  "Smart matching in detail" in perlsyn
258            for details of when overloading is invoked.
259
260       ·    Dereferencing
261
262                '${}', '@{}', '%{}', '&{}', '*{}'.
263
264            If not overloaded, the argument will be dereferenced as is, thus
265            should be of correct type.  These functions should return a
266            reference of correct type, or another object with overloaded
267            dereferencing.
268
269            As a special case if the overload returns the object itself then
270            it will be used directly (provided it is the correct type).
271
272            The dereference operators must be specified explicitly they will
273            not be passed to "nomethod".
274
275       ·    Special
276
277                "nomethod", "fallback", "=".
278
279            see "SPECIAL SYMBOLS FOR "use overload"".
280
281       See "Fallback" for an explanation of when a missing method can be
282       autogenerated.
283
284       A computer-readable form of the above table is available in the hash
285       %overload::ops, with values being space-separated lists of names:
286
287        with_assign      => '+ - * / % ** << >> x .',
288        assign           => '+= -= *= /= %= **= <<= >>= x= .=',
289        num_comparison   => '< <= > >= == !=',
290        '3way_comparison'=> '<=> cmp',
291        str_comparison   => 'lt le gt ge eq ne',
292        binary           => '& &= | |= ^ ^=',
293        unary            => 'neg ! ~',
294        mutators         => '++ --',
295        func             => 'atan2 cos sin exp abs log sqrt',
296        conversion       => 'bool "" 0+',
297        iterators        => '<>',
298        dereferencing    => '${} @{} %{} &{} *{}',
299        matching         => '~~',
300        special          => 'nomethod fallback ='
301
302   Inheritance and overloading
303       Inheritance interacts with overloading in two ways.
304
305       Strings as values of "use overload" directive
306           If "value" in
307
308             use overload key => value;
309
310           is a string, it is interpreted as a method name.
311
312       Overloading of an operation is inherited by derived classes
313           Any class derived from an overloaded class is also overloaded.  The
314           set of overloaded methods is the union of overloaded methods of all
315           the ancestors. If some method is overloaded in several ancestor,
316           then which description will be used is decided by the usual
317           inheritance rules:
318
319           If "A" inherits from "B" and "C" (in this order), "B" overloads "+"
320           with "\&D::plus_sub", and "C" overloads "+" by "plus_meth", then
321           the subroutine "D::plus_sub" will be called to implement operation
322           "+" for an object in package "A".
323
324       Note that since the value of the "fallback" key is not a subroutine,
325       its inheritance is not governed by the above rules.  In the current
326       implementation, the value of "fallback" in the first overloaded
327       ancestor is used, but this is accidental and subject to change.
328

SPECIAL SYMBOLS FOR "use overload"

330       Three keys are recognized by Perl that are not covered by the above
331       description.
332
333   Last Resort
334       "nomethod" should be followed by a reference to a function of four
335       parameters.  If defined, it is called when the overloading mechanism
336       cannot find a method for some operation.  The first three arguments of
337       this function coincide with the arguments for the corresponding method
338       if it were found, the fourth argument is the symbol corresponding to
339       the missing method.  If several methods are tried, the last one is
340       used.  Say, "1-$a" can be equivalent to
341
342               &nomethodMethod($a,1,1,"-")
343
344       if the pair "nomethod" => "nomethodMethod" was specified in the "use
345       overload" directive.
346
347       The "nomethod" mechanism is not used for the dereference operators (
348       ${} @{} %{} &{} *{} ).
349
350       If some operation cannot be resolved, and there is no function assigned
351       to "nomethod", then an exception will be raised via die()-- unless
352       "fallback" was specified as a key in "use overload" directive.
353
354   Fallback
355       The key "fallback" governs what to do if a method for a particular
356       operation is not found.  Three different cases are possible depending
357       on the value of "fallback":
358
359       ·               "undef"
360
361                       Perl tries to use a substituted method (see "MAGIC
362                       AUTOGENERATION").  If this fails, it then tries to
363                       calls "nomethod" value; if missing, an exception will
364                       be raised.
365
366       ·               TRUE
367
368                       The same as for the "undef" value, but no exception is
369                       raised.  Instead, it silently reverts to what it would
370                       have done were there no "use overload" present.
371
372       ·               defined, but FALSE
373
374                       No autogeneration is tried.  Perl tries to call
375                       "nomethod" value, and if this is missing, raises an
376                       exception.
377
378       Note. "fallback" inheritance via @ISA is not carved in stone yet, see
379       "Inheritance and overloading".
380
381   Copy Constructor
382       The value for "=" is a reference to a function with three arguments,
383       i.e., it looks like the other values in "use overload". However, it
384       does not overload the Perl assignment operator. This would go against
385       Camel hair.
386
387       This operation is called in the situations when a mutator is applied to
388       a reference that shares its object with some other reference, such as
389
390               $a=$b;
391               ++$a;
392
393       To make this change $a and not change $b, a copy of $$a is made, and $a
394       is assigned a reference to this new object.  This operation is done
395       during execution of the "++$a", and not during the assignment, (so
396       before the increment $$a coincides with $$b).  This is only done if
397       "++" is expressed via a method for '++' or '+=' (or "nomethod").  Note
398       that if this operation is expressed via '+' a nonmutator, i.e., as in
399
400               $a=$b;
401               $a=$a+1;
402
403       then $a does not reference a new copy of $$a, since $$a does not appear
404       as lvalue when the above code is executed.
405
406       If the copy constructor is required during the execution of some
407       mutator, but a method for '=' was not specified, it can be
408       autogenerated as a string copy if the object is a plain scalar or a
409       simple assignment if it is not.
410
411       Example
412            The actually executed code for
413
414                    $a=$b;
415                    Something else which does not modify $a or $b....
416                    ++$a;
417
418            may be
419
420                    $a=$b;
421                    Something else which does not modify $a or $b....
422                    $a = $a->clone(undef,"");
423                    $a->incr(undef,"");
424
425            if $b was mathemagical, and '++' was overloaded with "\&incr", '='
426            was overloaded with "\&clone".
427
428       Same behaviour is triggered by "$b = $a++", which is consider a synonym
429       for "$b = $a; ++$a".
430

MAGIC AUTOGENERATION

432       If a method for an operation is not found, and the value for
433       "fallback" is TRUE or undefined, Perl tries to autogenerate a
434       substitute method for the missing operation based on the defined
435       operations.  Autogenerated method substitutions are possible for the
436       following operations:
437
438       Assignment forms of arithmetic operations
439                       "$a+=$b" can use the method for "+" if the method for
440                       "+=" is not defined.
441
442       Conversion operations
443                       String, numeric, and boolean conversion are calculated
444                       in terms of one another if not all of them are defined.
445
446       Increment and decrement
447                       The "++$a" operation can be expressed in terms of
448                       "$a+=1" or "$a+1", and "$a--" in terms of "$a-=1" and
449                       "$a-1".
450
451       "abs($a)"       can be expressed in terms of "$a<0" and "-$a" (or
452                       "0-$a").
453
454       Unary minus     can be expressed in terms of subtraction.
455
456       Negation        "!" and "not" can be expressed in terms of boolean
457                       conversion, or string or numerical conversion.
458
459       Concatenation   can be expressed in terms of string conversion.
460
461       Comparison operations
462                       can be expressed in terms of its "spaceship"
463                       counterpart: either "<=>" or "cmp":
464
465                           <, >, <=, >=, ==, !=        in terms of <=>
466                           lt, gt, le, ge, eq, ne      in terms of cmp
467
468       Iterator
469                           <>                          in terms of builtin operations
470
471       Dereferencing
472                           ${} @{} %{} &{} *{}         in terms of builtin operations
473
474       Copy operator   can be expressed in terms of an assignment to the
475                       dereferenced value, if this value is a scalar and not a
476                       reference, or simply a reference assignment otherwise.
477

Minimal set of overloaded operations

479       Since some operations can be automatically generated from others, there
480       is a minimal set of operations that need to be overloaded in order to
481       have the complete set of overloaded operations at one's disposal.  Of
482       course, the autogenerated operations may not do exactly what the user
483       expects. See "MAGIC AUTOGENERATION" above. The minimal set is:
484
485           + - * / % ** << >> x
486           <=> cmp
487           & | ^ ~
488           atan2 cos sin exp log sqrt int
489
490       Additionally, you need to define at least one of string, boolean or
491       numeric conversions because any one can be used to emulate the others.
492       The string conversion can also be used to emulate concatenation.
493

Losing overloading

495       The restriction for the comparison operation is that even if, for
496       example, `"cmp"' should return a blessed reference, the autogenerated
497       `"lt"' function will produce only a standard logical value based on the
498       numerical value of the result of `"cmp"'.  In particular, a working
499       numeric conversion is needed in this case (possibly expressed in terms
500       of other conversions).
501
502       Similarly, ".="  and "x=" operators lose their mathemagical properties
503       if the string conversion substitution is applied.
504
505       When you chop() a mathemagical object it is promoted to a string and
506       its mathemagical properties are lost.  The same can happen with other
507       operations as well.
508

Run-time Overloading

510       Since all "use" directives are executed at compile-time, the only way
511       to change overloading during run-time is to
512
513           eval 'use overload "+" => \&addmethod';
514
515       You can also use
516
517           eval 'no overload "+", "--", "<="';
518
519       though the use of these constructs during run-time is questionable.
520

Public functions

522       Package "overload.pm" provides the following public functions:
523
524       overload::StrVal(arg)
525            Gives string value of "arg" as in absence of stringify
526            overloading. If you are using this to get the address of a
527            reference (useful for checking if two references point to the same
528            thing) then you may be better off using "Scalar::Util::refaddr()",
529            which is faster.
530
531       overload::Overloaded(arg)
532            Returns true if "arg" is subject to overloading of some
533            operations.
534
535       overload::Method(obj,op)
536            Returns "undef" or a reference to the method that implements "op".
537

Overloading constants

539       For some applications, the Perl parser mangles constants too much.  It
540       is possible to hook into this process via "overload::constant()" and
541       "overload::remove_constant()" functions.
542
543       These functions take a hash as an argument.  The recognized keys of
544       this hash are:
545
546       integer to overload integer constants,
547
548       float   to overload floating point constants,
549
550       binary  to overload octal and hexadecimal constants,
551
552       q       to overload "q"-quoted strings, constant pieces of "qq"- and
553               "qx"-quoted strings and here-documents,
554
555       qr      to overload constant pieces of regular expressions.
556
557       The corresponding values are references to functions which take three
558       arguments: the first one is the initial string form of the constant,
559       the second one is how Perl interprets this constant, the third one is
560       how the constant is used.  Note that the initial string form does not
561       contain string delimiters, and has backslashes in backslash-delimiter
562       combinations stripped (thus the value of delimiter is not relevant for
563       processing of this string).  The return value of this function is how
564       this constant is going to be interpreted by Perl.  The third argument
565       is undefined unless for overloaded "q"- and "qr"- constants, it is "q"
566       in single-quote context (comes from strings, regular expressions, and
567       single-quote HERE documents), it is "tr" for arguments of "tr"/"y"
568       operators, it is "s" for right-hand side of "s"-operator, and it is
569       "qq" otherwise.
570
571       Since an expression "ab$cd,," is just a shortcut for 'ab' . $cd . ',,',
572       it is expected that overloaded constant strings are equipped with
573       reasonable overloaded catenation operator, otherwise absurd results
574       will result.  Similarly, negative numbers are considered as negations
575       of positive constants.
576
577       Note that it is probably meaningless to call the functions
578       overload::constant() and overload::remove_constant() from anywhere but
579       import() and unimport() methods.  From these methods they may be called
580       as
581
582               sub import {
583                 shift;
584                 return unless @_;
585                 die "unknown import: @_" unless @_ == 1 and $_[0] eq ':constant';
586                 overload::constant integer => sub {Math::BigInt->new(shift)};
587               }
588

IMPLEMENTATION

590       What follows is subject to change RSN.
591
592       The table of methods for all operations is cached in magic for the
593       symbol table hash for the package.  The cache is invalidated during
594       processing of "use overload", "no overload", new function definitions,
595       and changes in @ISA. However, this invalidation remains unprocessed
596       until the next "bless"ing into the package. Hence if you want to change
597       overloading structure dynamically, you'll need an additional (fake)
598       "bless"ing to update the table.
599
600       (Every SVish thing has a magic queue, and magic is an entry in that
601       queue.  This is how a single variable may participate in multiple forms
602       of magic simultaneously.  For instance, environment variables regularly
603       have two forms at once: their %ENV magic and their taint magic.
604       However, the magic which implements overloading is applied to the
605       stashes, which are rarely used directly, thus should not slow down
606       Perl.)
607
608       If an object belongs to a package using overload, it carries a special
609       flag.  Thus the only speed penalty during arithmetic operations without
610       overloading is the checking of this flag.
611
612       In fact, if "use overload" is not present, there is almost no overhead
613       for overloadable operations, so most programs should not suffer
614       measurable performance penalties.  A considerable effort was made to
615       minimize the overhead when overload is used in some package, but the
616       arguments in question do not belong to packages using overload.  When
617       in doubt, test your speed with "use overload" and without it.  So far
618       there have been no reports of substantial speed degradation if Perl is
619       compiled with optimization turned on.
620
621       There is no size penalty for data if overload is not used. The only
622       size penalty if overload is used in some package is that all the
623       packages acquire a magic during the next "bless"ing into the package.
624       This magic is three-words-long for packages without overloading, and
625       carries the cache table if the package is overloaded.
626
627       Copying ("$a=$b") is shallow; however, a one-level-deep copying is
628       carried out before any operation that can imply an assignment to the
629       object $a (or $b) refers to, like "$a++".  You can override this
630       behavior by defining your own copy constructor (see "Copy
631       Constructor").
632
633       It is expected that arguments to methods that are not explicitly
634       supposed to be changed are constant (but this is not enforced).
635

Metaphor clash

637       One may wonder why the semantic of overloaded "=" is so counter
638       intuitive.  If it looks counter intuitive to you, you are subject to a
639       metaphor clash.
640
641       Here is a Perl object metaphor:
642
643         object is a reference to blessed data
644
645       and an arithmetic metaphor:
646
647         object is a thing by itself.
648
649       The main problem of overloading "=" is the fact that these metaphors
650       imply different actions on the assignment "$a = $b" if $a and $b are
651       objects.  Perl-think implies that $a becomes a reference to whatever $b
652       was referencing.  Arithmetic-think implies that the value of "object"
653       $a is changed to become the value of the object $b, preserving the fact
654       that $a and $b are separate entities.
655
656       The difference is not relevant in the absence of mutators.  After a
657       Perl-way assignment an operation which mutates the data referenced by
658       $a would change the data referenced by $b too.  Effectively, after "$a
659       = $b" values of $a and $b become indistinguishable.
660
661       On the other hand, anyone who has used algebraic notation knows the
662       expressive power of the arithmetic metaphor.  Overloading works hard to
663       enable this metaphor while preserving the Perlian way as far as
664       possible.  Since it is not possible to freely mix two contradicting
665       metaphors, overloading allows the arithmetic way to write things as far
666       as all the mutators are called via overloaded access only.  The way it
667       is done is described in "Copy Constructor".
668
669       If some mutator methods are directly applied to the overloaded values,
670       one may need to explicitly unlink other values which references the
671       same value:
672
673           $a = Data->new(23);
674           ...
675           $b = $a;            # $b is "linked" to $a
676           ...
677           $a = $a->clone;     # Unlink $b from $a
678           $a->increment_by(4);
679
680       Note that overloaded access makes this transparent:
681
682           $a = Data->new(23);
683           $b = $a;            # $b is "linked" to $a
684           $a += 4;            # would unlink $b automagically
685
686       However, it would not make
687
688           $a = Data->new(23);
689           $a = 4;             # Now $a is a plain 4, not 'Data'
690
691       preserve "objectness" of $a.  But Perl has a way to make assignments to
692       an object do whatever you want.  It is just not the overload, but
693       tie()ing interface (see "tie" in perlfunc).  Adding a FETCH() method
694       which returns the object itself, and STORE() method which changes the
695       value of the object, one can reproduce the arithmetic metaphor in its
696       completeness, at least for variables which were tie()d from the start.
697
698       (Note that a workaround for a bug may be needed, see "BUGS".)
699

Cookbook

701       Please add examples to what follows!
702
703   Two-face scalars
704       Put this in two_face.pm in your Perl library directory:
705
706         package two_face;             # Scalars with separate string and
707                                       # numeric values.
708         sub new { my $p = shift; bless [@_], $p }
709         use overload '""' => \&str, '0+' => \&num, fallback => 1;
710         sub num {shift->[1]}
711         sub str {shift->[0]}
712
713       Use it as follows:
714
715         require two_face;
716         my $seven = two_face->new("vii", 7);
717         printf "seven=$seven, seven=%d, eight=%d\n", $seven, $seven+1;
718         print "seven contains `i'\n" if $seven =~ /i/;
719
720       (The second line creates a scalar which has both a string value, and a
721       numeric value.)  This prints:
722
723         seven=vii, seven=7, eight=8
724         seven contains `i'
725
726   Two-face references
727       Suppose you want to create an object which is accessible as both an
728       array reference and a hash reference.
729
730         package two_refs;
731         use overload '%{}' => \&gethash, '@{}' => sub { $ {shift()} };
732         sub new {
733           my $p = shift;
734           bless \ [@_], $p;
735         }
736         sub gethash {
737           my %h;
738           my $self = shift;
739           tie %h, ref $self, $self;
740           \%h;
741         }
742
743         sub TIEHASH { my $p = shift; bless \ shift, $p }
744         my %fields;
745         my $i = 0;
746         $fields{$_} = $i++ foreach qw{zero one two three};
747         sub STORE {
748           my $self = ${shift()};
749           my $key = $fields{shift()};
750           defined $key or die "Out of band access";
751           $$self->[$key] = shift;
752         }
753         sub FETCH {
754           my $self = ${shift()};
755           my $key = $fields{shift()};
756           defined $key or die "Out of band access";
757           $$self->[$key];
758         }
759
760       Now one can access an object using both the array and hash syntax:
761
762         my $bar = two_refs->new(3,4,5,6);
763         $bar->[2] = 11;
764         $bar->{two} == 11 or die 'bad hash fetch';
765
766       Note several important features of this example.  First of all, the
767       actual type of $bar is a scalar reference, and we do not overload the
768       scalar dereference.  Thus we can get the actual non-overloaded contents
769       of $bar by just using $$bar (what we do in functions which overload
770       dereference).  Similarly, the object returned by the TIEHASH() method
771       is a scalar reference.
772
773       Second, we create a new tied hash each time the hash syntax is used.
774       This allows us not to worry about a possibility of a reference loop,
775       which would lead to a memory leak.
776
777       Both these problems can be cured.  Say, if we want to overload hash
778       dereference on a reference to an object which is implemented as a hash
779       itself, the only problem one has to circumvent is how to access this
780       actual hash (as opposed to the virtual hash exhibited by the overloaded
781       dereference operator).  Here is one possible fetching routine:
782
783         sub access_hash {
784           my ($self, $key) = (shift, shift);
785           my $class = ref $self;
786           bless $self, 'overload::dummy'; # Disable overloading of %{}
787           my $out = $self->{$key};
788           bless $self, $class;        # Restore overloading
789           $out;
790         }
791
792       To remove creation of the tied hash on each access, one may an extra
793       level of indirection which allows a non-circular structure of
794       references:
795
796         package two_refs1;
797         use overload '%{}' => sub { ${shift()}->[1] },
798                      '@{}' => sub { ${shift()}->[0] };
799         sub new {
800           my $p = shift;
801           my $a = [@_];
802           my %h;
803           tie %h, $p, $a;
804           bless \ [$a, \%h], $p;
805         }
806         sub gethash {
807           my %h;
808           my $self = shift;
809           tie %h, ref $self, $self;
810           \%h;
811         }
812
813         sub TIEHASH { my $p = shift; bless \ shift, $p }
814         my %fields;
815         my $i = 0;
816         $fields{$_} = $i++ foreach qw{zero one two three};
817         sub STORE {
818           my $a = ${shift()};
819           my $key = $fields{shift()};
820           defined $key or die "Out of band access";
821           $a->[$key] = shift;
822         }
823         sub FETCH {
824           my $a = ${shift()};
825           my $key = $fields{shift()};
826           defined $key or die "Out of band access";
827           $a->[$key];
828         }
829
830       Now if $baz is overloaded like this, then $baz is a reference to a
831       reference to the intermediate array, which keeps a reference to an
832       actual array, and the access hash.  The tie()ing object for the access
833       hash is a reference to a reference to the actual array, so
834
835       ·   There are no loops of references.
836
837       ·   Both "objects" which are blessed into the class "two_refs1" are
838           references to a reference to an array, thus references to a scalar.
839           Thus the accessor expression "$$foo->[$ind]" involves no overloaded
840           operations.
841
842   Symbolic calculator
843       Put this in symbolic.pm in your Perl library directory:
844
845         package symbolic;             # Primitive symbolic calculator
846         use overload nomethod => \&wrap;
847
848         sub new { shift; bless ['n', @_] }
849         sub wrap {
850           my ($obj, $other, $inv, $meth) = @_;
851           ($obj, $other) = ($other, $obj) if $inv;
852           bless [$meth, $obj, $other];
853         }
854
855       This module is very unusual as overloaded modules go: it does not
856       provide any usual overloaded operators, instead it provides the Last
857       Resort operator "nomethod".  In this example the corresponding
858       subroutine returns an object which encapsulates operations done over
859       the objects: "symbolic->new(3)" contains "['n', 3]", "2 +
860       symbolic->new(3)" contains "['+', 2, ['n', 3]]".
861
862       Here is an example of the script which "calculates" the side of
863       circumscribed octagon using the above package:
864
865         require symbolic;
866         my $iter = 1;                 # 2**($iter+2) = 8
867         my $side = symbolic->new(1);
868         my $cnt = $iter;
869
870         while ($cnt--) {
871           $side = (sqrt(1 + $side**2) - 1)/$side;
872         }
873         print "OK\n";
874
875       The value of $side is
876
877         ['/', ['-', ['sqrt', ['+', 1, ['**', ['n', 1], 2]],
878                              undef], 1], ['n', 1]]
879
880       Note that while we obtained this value using a nice little script,
881       there is no simple way to use this value.  In fact this value may be
882       inspected in debugger (see perldebug), but only if "bareStringify"
883       Option is set, and not via "p" command.
884
885       If one attempts to print this value, then the overloaded operator ""
886       will be called, which will call "nomethod" operator.  The result of
887       this operator will be stringified again, but this result is again of
888       type "symbolic", which will lead to an infinite loop.
889
890       Add a pretty-printer method to the module symbolic.pm:
891
892         sub pretty {
893           my ($meth, $a, $b) = @{+shift};
894           $a = 'u' unless defined $a;
895           $b = 'u' unless defined $b;
896           $a = $a->pretty if ref $a;
897           $b = $b->pretty if ref $b;
898           "[$meth $a $b]";
899         }
900
901       Now one can finish the script by
902
903         print "side = ", $side->pretty, "\n";
904
905       The method "pretty" is doing object-to-string conversion, so it is
906       natural to overload the operator "" using this method.  However, inside
907       such a method it is not necessary to pretty-print the components $a and
908       $b of an object.  In the above subroutine "[$meth $a $b]" is a
909       catenation of some strings and components $a and $b.  If these
910       components use overloading, the catenation operator will look for an
911       overloaded operator "."; if not present, it will look for an overloaded
912       operator "".  Thus it is enough to use
913
914         use overload nomethod => \&wrap, '""' => \&str;
915         sub str {
916           my ($meth, $a, $b) = @{+shift};
917           $a = 'u' unless defined $a;
918           $b = 'u' unless defined $b;
919           "[$meth $a $b]";
920         }
921
922       Now one can change the last line of the script to
923
924         print "side = $side\n";
925
926       which outputs
927
928         side = [/ [- [sqrt [+ 1 [** [n 1 u] 2]] u] 1] [n 1 u]]
929
930       and one can inspect the value in debugger using all the possible
931       methods.
932
933       Something is still amiss: consider the loop variable $cnt of the
934       script.  It was a number, not an object.  We cannot make this value of
935       type "symbolic", since then the loop will not terminate.
936
937       Indeed, to terminate the cycle, the $cnt should become false.  However,
938       the operator "bool" for checking falsity is overloaded (this time via
939       overloaded ""), and returns a long string, thus any object of type
940       "symbolic" is true.  To overcome this, we need a way to compare an
941       object to 0.  In fact, it is easier to write a numeric conversion
942       routine.
943
944       Here is the text of symbolic.pm with such a routine added (and slightly
945       modified str()):
946
947         package symbolic;             # Primitive symbolic calculator
948         use overload
949           nomethod => \&wrap, '""' => \&str, '0+' => \&num;
950
951         sub new { shift; bless ['n', @_] }
952         sub wrap {
953           my ($obj, $other, $inv, $meth) = @_;
954           ($obj, $other) = ($other, $obj) if $inv;
955           bless [$meth, $obj, $other];
956         }
957         sub str {
958           my ($meth, $a, $b) = @{+shift};
959           $a = 'u' unless defined $a;
960           if (defined $b) {
961             "[$meth $a $b]";
962           } else {
963             "[$meth $a]";
964           }
965         }
966         my %subr = ( n => sub {$_[0]},
967                      sqrt => sub {sqrt $_[0]},
968                      '-' => sub {shift() - shift()},
969                      '+' => sub {shift() + shift()},
970                      '/' => sub {shift() / shift()},
971                      '*' => sub {shift() * shift()},
972                      '**' => sub {shift() ** shift()},
973                    );
974         sub num {
975           my ($meth, $a, $b) = @{+shift};
976           my $subr = $subr{$meth}
977             or die "Do not know how to ($meth) in symbolic";
978           $a = $a->num if ref $a eq __PACKAGE__;
979           $b = $b->num if ref $b eq __PACKAGE__;
980           $subr->($a,$b);
981         }
982
983       All the work of numeric conversion is done in %subr and num().  Of
984       course, %subr is not complete, it contains only operators used in the
985       example below.  Here is the extra-credit question: why do we need an
986       explicit recursion in num()?  (Answer is at the end of this section.)
987
988       Use this module like this:
989
990         require symbolic;
991         my $iter = symbolic->new(2);  # 16-gon
992         my $side = symbolic->new(1);
993         my $cnt = $iter;
994
995         while ($cnt) {
996           $cnt = $cnt - 1;            # Mutator `--' not implemented
997           $side = (sqrt(1 + $side**2) - 1)/$side;
998         }
999         printf "%s=%f\n", $side, $side;
1000         printf "pi=%f\n", $side*(2**($iter+2));
1001
1002       It prints (without so many line breaks)
1003
1004         [/ [- [sqrt [+ 1 [** [/ [- [sqrt [+ 1 [** [n 1] 2]]] 1]
1005                                 [n 1]] 2]]] 1]
1006            [/ [- [sqrt [+ 1 [** [n 1] 2]]] 1] [n 1]]]=0.198912
1007         pi=3.182598
1008
1009       The above module is very primitive.  It does not implement mutator
1010       methods ("++", "-=" and so on), does not do deep copying (not required
1011       without mutators!), and implements only those arithmetic operations
1012       which are used in the example.
1013
1014       To implement most arithmetic operations is easy; one should just use
1015       the tables of operations, and change the code which fills %subr to
1016
1017         my %subr = ( 'n' => sub {$_[0]} );
1018         foreach my $op (split " ", $overload::ops{with_assign}) {
1019           $subr{$op} = $subr{"$op="} = eval "sub {shift() $op shift()}";
1020         }
1021         my @bins = qw(binary 3way_comparison num_comparison str_comparison);
1022         foreach my $op (split " ", "@overload::ops{ @bins }") {
1023           $subr{$op} = eval "sub {shift() $op shift()}";
1024         }
1025         foreach my $op (split " ", "@overload::ops{qw(unary func)}") {
1026           print "defining `$op'\n";
1027           $subr{$op} = eval "sub {$op shift()}";
1028         }
1029
1030       Due to "Calling Conventions for Mutators", we do not need anything
1031       special to make "+=" and friends work, except filling "+=" entry of
1032       %subr, and defining a copy constructor (needed since Perl has no way to
1033       know that the implementation of '+=' does not mutate the argument,
1034       compare "Copy Constructor").
1035
1036       To implement a copy constructor, add "'=' => \&cpy" to "use overload"
1037       line, and code (this code assumes that mutators change things one level
1038       deep only, so recursive copying is not needed):
1039
1040         sub cpy {
1041           my $self = shift;
1042           bless [@$self], ref $self;
1043         }
1044
1045       To make "++" and "--" work, we need to implement actual mutators,
1046       either directly, or in "nomethod".  We continue to do things inside
1047       "nomethod", thus add
1048
1049           if ($meth eq '++' or $meth eq '--') {
1050             @$obj = ($meth, (bless [@$obj]), 1); # Avoid circular reference
1051             return $obj;
1052           }
1053
1054       after the first line of wrap().  This is not a most effective
1055       implementation, one may consider
1056
1057         sub inc { $_[0] = bless ['++', shift, 1]; }
1058
1059       instead.
1060
1061       As a final remark, note that one can fill %subr by
1062
1063         my %subr = ( 'n' => sub {$_[0]} );
1064         foreach my $op (split " ", $overload::ops{with_assign}) {
1065           $subr{$op} = $subr{"$op="} = eval "sub {shift() $op shift()}";
1066         }
1067         my @bins = qw(binary 3way_comparison num_comparison str_comparison);
1068         foreach my $op (split " ", "@overload::ops{ @bins }") {
1069           $subr{$op} = eval "sub {shift() $op shift()}";
1070         }
1071         foreach my $op (split " ", "@overload::ops{qw(unary func)}") {
1072           $subr{$op} = eval "sub {$op shift()}";
1073         }
1074         $subr{'++'} = $subr{'+'};
1075         $subr{'--'} = $subr{'-'};
1076
1077       This finishes implementation of a primitive symbolic calculator in 50
1078       lines of Perl code.  Since the numeric values of subexpressions are not
1079       cached, the calculator is very slow.
1080
1081       Here is the answer for the exercise: In the case of str(), we need no
1082       explicit recursion since the overloaded "."-operator will fall back to
1083       an existing overloaded operator "".  Overloaded arithmetic operators do
1084       not fall back to numeric conversion if "fallback" is not explicitly
1085       requested.  Thus without an explicit recursion num() would convert
1086       "['+', $a, $b]" to "$a + $b", which would just rebuild the argument of
1087       num().
1088
1089       If you wonder why defaults for conversion are different for str() and
1090       num(), note how easy it was to write the symbolic calculator.  This
1091       simplicity is due to an appropriate choice of defaults.  One extra
1092       note: due to the explicit recursion num() is more fragile than sym():
1093       we need to explicitly check for the type of $a and $b.  If components
1094       $a and $b happen to be of some related type, this may lead to problems.
1095
1096   Really symbolic calculator
1097       One may wonder why we call the above calculator symbolic.  The reason
1098       is that the actual calculation of the value of expression is postponed
1099       until the value is used.
1100
1101       To see it in action, add a method
1102
1103         sub STORE {
1104           my $obj = shift;
1105           $#$obj = 1;
1106           @$obj->[0,1] = ('=', shift);
1107         }
1108
1109       to the package "symbolic".  After this change one can do
1110
1111         my $a = symbolic->new(3);
1112         my $b = symbolic->new(4);
1113         my $c = sqrt($a**2 + $b**2);
1114
1115       and the numeric value of $c becomes 5.  However, after calling
1116
1117         $a->STORE(12);  $b->STORE(5);
1118
1119       the numeric value of $c becomes 13.  There is no doubt now that the
1120       module symbolic provides a symbolic calculator indeed.
1121
1122       To hide the rough edges under the hood, provide a tie()d interface to
1123       the package "symbolic" (compare with "Metaphor clash").  Add methods
1124
1125         sub TIESCALAR { my $pack = shift; $pack->new(@_) }
1126         sub FETCH { shift }
1127         sub nop {  }          # Around a bug
1128
1129       (the bug is described in "BUGS").  One can use this new interface as
1130
1131         tie $a, 'symbolic', 3;
1132         tie $b, 'symbolic', 4;
1133         $a->nop;  $b->nop;    # Around a bug
1134
1135         my $c = sqrt($a**2 + $b**2);
1136
1137       Now numeric value of $c is 5.  After "$a = 12; $b = 5" the numeric
1138       value of $c becomes 13.  To insulate the user of the module add a
1139       method
1140
1141         sub vars { my $p = shift; tie($_, $p), $_->nop foreach @_; }
1142
1143       Now
1144
1145         my ($a, $b);
1146         symbolic->vars($a, $b);
1147         my $c = sqrt($a**2 + $b**2);
1148
1149         $a = 3; $b = 4;
1150         printf "c5  %s=%f\n", $c, $c;
1151
1152         $a = 12; $b = 5;
1153         printf "c13  %s=%f\n", $c, $c;
1154
1155       shows that the numeric value of $c follows changes to the values of $a
1156       and $b.
1157

AUTHOR

1159       Ilya Zakharevich <ilya@math.mps.ohio-state.edu>.
1160

SEE ALSO

1162       The overloading pragma can be used to enable or disable overloaded
1163       operations within a lexical scope.
1164

DIAGNOSTICS

1166       When Perl is run with the -Do switch or its equivalent, overloading
1167       induces diagnostic messages.
1168
1169       Using the "m" command of Perl debugger (see perldebug) one can deduce
1170       which operations are overloaded (and which ancestor triggers this
1171       overloading). Say, if "eq" is overloaded, then the method "(eq" is
1172       shown by debugger. The method "()" corresponds to the "fallback" key
1173       (in fact a presence of this method shows that this package has
1174       overloading enabled, and it is what is used by the "Overloaded"
1175       function of module "overload").
1176
1177       The module might issue the following warnings:
1178
1179       Odd number of arguments for overload::constant
1180           (W) The call to overload::constant contained an odd number of
1181           arguments.  The arguments should come in pairs.
1182
1183       `%s' is not an overloadable type
1184           (W) You tried to overload a constant type the overload package is
1185           unaware of.
1186
1187       `%s' is not a code reference
1188           (W) The second (fourth, sixth, ...) argument of overload::constant
1189           needs to be a code reference. Either an anonymous subroutine, or a
1190           reference to a subroutine.
1191

BUGS

1193       Because it is used for overloading, the per-package hash %OVERLOAD now
1194       has a special meaning in Perl. The symbol table is filled with names
1195       looking like line-noise.
1196
1197       For the purpose of inheritance every overloaded package behaves as if
1198       "fallback" is present (possibly undefined). This may create interesting
1199       effects if some package is not overloaded, but inherits from two
1200       overloaded packages.
1201
1202       Relation between overloading and tie()ing is broken.  Overloading is
1203       triggered or not basing on the previous class of tie()d value.
1204
1205       This happens because the presence of overloading is checked too early,
1206       before any tie()d access is attempted.  If the FETCH()ed class of the
1207       tie()d value does not change, a simple workaround is to access the
1208       value immediately after tie()ing, so that after this call the previous
1209       class coincides with the current one.
1210
1211       Needed: a way to fix this without a speed penalty.
1212
1213       Barewords are not covered by overloaded string constants.
1214
1215       This document is confusing.  There are grammos and misleading language
1216       used in places.  It would seem a total rewrite is needed.
1217
1218
1219
1220perl v5.10.1                      2009-08-22                     overload(3pm)
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