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823 lines
26 KiB
Text
823 lines
26 KiB
Text
@c -*-texinfo-*-
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@c This is part of the GNU Guile Reference Manual.
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@c Copyright (C) 2008, 2009
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@c Free Software Foundation, Inc.
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@c See the file guile.texi for copying conditions.
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@c Original attribution:
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@c
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@c STk Reference manual (Appendix: An Introduction to STklos)
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@c
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@c Copyright © 1993-1999 Erick Gallesio - I3S-CNRS/ESSI <eg@unice.fr>
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@c Permission to use, copy, modify, distribute,and license this
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@c software and its documentation for any purpose is hereby granted,
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@c provided that existing copyright notices are retained in all
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@c copies and that this notice is included verbatim in any
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@c distributions. No written agreement, license, or royalty fee is
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@c required for any of the authorized uses.
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@c This software is provided ``AS IS'' without express or implied
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@c warranty.
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@c
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@c Adapted for use in Guile with the authors permission
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@c @macro goops @c was {\stklos}
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@c GOOPS
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@c @end macro
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@c @macro guile @c was {\stk}
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@c Guile
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@c @end macro
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This section introduces the @goops{} package in more detail. It was
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originally written by Erick Gallesio as an appendix for the STk
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reference manual, and subsequently adapted to @goops{}.
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The procedures and syntax described in this tutorial are provided by
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Guile modules that may need to be imported before being available.
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The main @goops{} module is imported by evaluating:
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@lisp
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(use-modules (oop goops))
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@end lisp
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@findex (oop goops)
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@cindex main module
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@cindex loading
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@cindex preparing
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@menu
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* Copyright::
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* Class definition::
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* Instance creation and slot access::
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* Slot description::
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* Inheritance::
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* Generic functions::
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@end menu
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@node Copyright
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@subsection Copyright
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Original attribution:
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STk Reference manual (Appendix: An Introduction to STklos)
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Copyright © 1993-1999 Erick Gallesio - I3S-CNRS/ESSI <eg@@unice.fr>
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Permission to use, copy, modify, distribute,and license this
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software and its documentation for any purpose is hereby granted,
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provided that existing copyright notices are retained in all
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copies and that this notice is included verbatim in any
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distributions. No written agreement, license, or royalty fee is
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required for any of the authorized uses.
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This software is provided ``AS IS'' without express or implied
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warranty.
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Adapted for use in Guile with the author's permission
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@node Class definition
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@subsection Class definition
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A new class is defined with the @code{define-class} macro. The syntax
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of @code{define-class} is close to CLOS @code{defclass}:
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@findex define-class
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@cindex class
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@lisp
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(define-class @var{class} (@var{superclass} @dots{})
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@var{slot-description} @dots{}
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@var{class-option} @dots{})
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@end lisp
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@var{class} is the class being defined. The list of
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@var{superclass}es specifies which existing classes, if any, to
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inherit slots and properties from. Each @var{slot-description} gives
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the name of a slot and optionally some ``properties'' of this slot;
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for example its initial value, the name of a function which will
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access its value, and so on. Slot descriptions and inheritance are
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discussed more below. For class options, see @ref{Class Options}.
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@cindex slot
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As an example, let us define a type for representing a complex number
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in terms of two real numbers.@footnote{Of course Guile already
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provides complex numbers, and @code{<complex>} is in fact a predefined
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class in GOOPS; but the definition here is still useful as an
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example.} This can be done with the following class definition:
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@lisp
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(define-class <my-complex> (<number>)
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r i)
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@end lisp
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This binds the variable @code{<my-complex>} to a new class whose
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instances will contain two slots. These slots are called @code{r} and
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@code{i} and will hold the real and imaginary parts of a complex
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number. Note that this class inherits from @code{<number>}, which is a
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predefined class.@footnote{@code{<number>} is the direct superclass of
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the predefined class @code{<complex>}; @code{<complex>} is the
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superclass of @code{<real>}, and @code{<real>} is the superclass of
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@code{<integer>}.}
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@node Instance creation and slot access
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@subsection Instance creation and slot access
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Creation of an instance of a previously defined
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class can be done with the @code{make} procedure. This
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procedure takes one mandatory parameter which is the class of the
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instance which must be created and a list of optional
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arguments. Optional arguments are generally used to initialize some
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slots of the newly created instance. For instance, the following form
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@findex make
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@cindex instance
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@lisp
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(define c (make <my-complex>))
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@end lisp
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@noindent
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will create a new @code{<my-complex>} object and will bind it to the @code{c}
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Scheme variable.
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Accessing the slots of the new complex number can be done with the
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@code{slot-ref} and the @code{slot-set!} primitives. @code{slot-set!}
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sets the value of an object slot and @code{slot-ref} retrieves it.
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@findex slot-set!
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@findex slot-ref
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@lisp
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@group
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(slot-set! c 'r 10)
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(slot-set! c 'i 3)
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(slot-ref c 'r) @result{} 10
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(slot-ref c 'i) @result{} 3
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@end group
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@end lisp
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Using the @code{describe} function is a simple way to see all the
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slots of an object at one time: this function prints all the slots of an
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object on the standard output.
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First load the module @code{(oop goops describe)}:
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@example
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@code{(use-modules (oop goops describe))}
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@end example
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@noindent
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Then the expression
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@lisp
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(describe c)
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@end lisp
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@noindent
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will print the following information on the standard output:
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@smalllisp
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#<<my-complex> 401d8638> is an instance of class <my-complex>
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Slots are:
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r = 10
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i = 3
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@end smalllisp
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@node Slot description
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@subsection Slot description
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@c \label{slot-description}
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When specifying a slot (in a @code{(define-class @dots{})} form),
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various options can be specified in addition to the slot's name. Each
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option is specified by a keyword. The list of authorized keywords is
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given below:
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@cindex keyword
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@itemize @bullet
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@item
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@code{#:init-value} permits to supply a constant default value for the
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slot. The value is obtained by evaluating the form given after the
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@code{#:init-value} at class definition time.
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@cindex default slot value
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@findex #:init-value
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@item
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@code{#:init-form} specifies a form that, when evaluated, will return
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an initial value for the slot. The form is evaluated each time that
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an instance of the class is created, in the lexical environment of the
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containing @code{define-class} expression.
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@cindex default slot value
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@findex #:init-form
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@item
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@code{#:init-thunk} permits to supply a thunk that will provide a
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default value for the slot. The value is obtained by invoking the
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thunk at instance creation time.
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@findex default slot value
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@findex #:init-thunk
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@item
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@code{#:init-keyword} permits to specify a keyword for initializing the
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slot. The init-keyword may be provided during instance creation (i.e. in
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the @code{make} optional parameter list). Specifying such a keyword
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during instance initialization will supersede the default slot
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initialization possibly given with @code{#:init-form}.
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@findex #:init-keyword
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@item
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@code{#:getter} permits to supply the name for the
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slot getter. The name binding is done in the
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environment of the @code{define-class} macro.
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@findex #:getter
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@cindex top level environment
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@cindex getter
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@item
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@code{#:setter} permits to supply the name for the
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slot setter. The name binding is done in the
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environment of the @code{define-class} macro.
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@findex #:setter
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@cindex top level environment
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@cindex setter
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@item
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@code{#:accessor} permits to supply the name for the
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slot accessor. The name binding is done in the global
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environment. An accessor permits to get and
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set the value of a slot. Setting the value of a slot is done with the extended
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version of @code{set!}.
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@findex set!
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@findex #:accessor
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@cindex top level environment
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@cindex accessor
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@item
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@code{#:allocation} permits to specify how storage for
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the slot is allocated. Three kinds of allocation are provided.
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They are described below:
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@itemize @minus
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@item
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@code{#:instance} indicates that each instance gets its own storage for
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the slot. This is the default.
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@item
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@code{#:class} indicates that there is one storage location used by all
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the direct and indirect instances of the class. This permits to define a
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kind of global variable which can be accessed only by (in)direct
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instances of the class which defines this slot.
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@item
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@code{#:each-subclass} indicates that there is one storage location used
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by all the direct instances of the class. In other words, if two classes
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are not siblings in the class hierarchy, they will not see the same
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value.
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@item
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@code{#:virtual} indicates that no storage will be allocated for this
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slot. It is up to the user to define a getter and a setter function for
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this slot. Those functions must be defined with the @code{#:slot-ref}
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and @code{#:slot-set!} options. See the example below.
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@findex #:slot-set!
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@findex #:slot-ref
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@findex #:virtual
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@findex #:class
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@findex #:each-subclass
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@findex #:instance
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@findex #:allocation
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@end itemize
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@end itemize
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To illustrate slot description, we shall redefine the @code{<my-complex>} class
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seen before. A definition could be:
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@lisp
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(define-class <my-complex> (<number>)
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(r #:init-value 0 #:getter get-r #:setter set-r! #:init-keyword #:r)
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(i #:init-value 0 #:getter get-i #:setter set-i! #:init-keyword #:i))
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@end lisp
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With this definition, the @code{r} and @code{i} slot are set to 0 by
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default. Value of a slot can also be specified by calling @code{make}
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with the @code{#:r} and @code{#:i} keywords. Furthermore, the generic
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functions @code{get-r} and @code{set-r!} (resp. @code{get-i} and
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@code{set-i!}) are automatically defined by the system to read and write
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the @code{r} (resp. @code{i}) slot.
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@lisp
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(define c1 (make <my-complex> #:r 1 #:i 2))
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(get-r c1) @result{} 1
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(set-r! c1 12)
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(get-r c1) @result{} 12
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(define c2 (make <my-complex> #:r 2))
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(get-r c2) @result{} 2
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(get-i c2) @result{} 0
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@end lisp
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Accessors provide an uniform access for reading and writing an object
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slot. Writing a slot is done with an extended form of @code{set!}
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which is close to the Common Lisp @code{setf} macro. So, another
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definition of the previous @code{<my-complex>} class, using the
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@code{#:accessor} option, could be:
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@findex set!
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@lisp
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(define-class <my-complex> (<number>)
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(r #:init-value 0 #:accessor real-part #:init-keyword #:r)
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(i #:init-value 0 #:accessor imag-part #:init-keyword #:i))
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@end lisp
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Using this class definition, reading the real part of the @code{c}
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complex can be done with:
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@lisp
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(real-part c)
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@end lisp
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and setting it to the value contained in the @code{new-value} variable
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can be done using the extended form of @code{set!}.
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@lisp
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(set! (real-part c) new-value)
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@end lisp
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Suppose now that we have to manipulate complex numbers with rectangular
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coordinates as well as with polar coordinates. One solution could be to
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have a definition of complex numbers which uses one particular
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representation and some conversion functions to pass from one
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representation to the other. A better solution uses virtual slots. A
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complete definition of the @code{<my-complex>} class using virtual slots is
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given in Figure@ 2.
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@example
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@group
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@lisp
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(define-class <my-complex> (<number>)
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;; True slots use rectangular coordinates
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(r #:init-value 0 #:accessor real-part #:init-keyword #:r)
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(i #:init-value 0 #:accessor imag-part #:init-keyword #:i)
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;; Virtual slots access do the conversion
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(m #:accessor magnitude #:init-keyword #:magn
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#:allocation #:virtual
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#:slot-ref (lambda (o)
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(let ((r (slot-ref o 'r)) (i (slot-ref o 'i)))
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(sqrt (+ (* r r) (* i i)))))
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#:slot-set! (lambda (o m)
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(let ((a (slot-ref o 'a)))
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(slot-set! o 'r (* m (cos a)))
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(slot-set! o 'i (* m (sin a))))))
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(a #:accessor angle #:init-keyword #:angle
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#:allocation #:virtual
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#:slot-ref (lambda (o)
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(atan (slot-ref o 'i) (slot-ref o 'r)))
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#:slot-set! (lambda(o a)
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(let ((m (slot-ref o 'm)))
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(slot-set! o 'r (* m (cos a)))
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(slot-set! o 'i (* m (sin a)))))))
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@end lisp
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@center @emph{Fig 2: A @code{<my-complex>} number class definition using virtual slots}
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@end group
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@end example
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@sp 3
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This class definition implements two real slots (@code{r} and
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@code{i}). Values of the @code{m} and @code{a} virtual slots are
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calculated from real slot values. Reading a virtual slot leads to the
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application of the function defined in the @code{#:slot-ref}
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option. Writing such a slot leads to the application of the function
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defined in the @code{#:slot-set!} option. For instance, the following
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expression
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@findex #:slot-set!
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@findex #:slot-ref
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@lisp
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(slot-set! c 'a 3)
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@end lisp
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permits to set the angle of the @code{c} complex number. This expression
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conducts, in fact, to the evaluation of the following expression
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@lisp
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((lambda o m)
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(let ((m (slot-ref o 'm)))
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(slot-set! o 'r (* m (cos a)))
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(slot-set! o 'i (* m (sin a))))
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c 3)
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@end lisp
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A more complete example is given below:
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@example
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@group
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@smalllisp
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(define c (make <my-complex> #:r 12 #:i 20))
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(real-part c) @result{} 12
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(angle c) @result{} 1.03037682652431
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(slot-set! c 'i 10)
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(set! (real-part c) 1)
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(describe c)
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@print{}
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#<<my-complex> 401e9b58> is an instance of class <my-complex>
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Slots are:
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r = 1
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i = 10
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m = 10.0498756211209
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a = 1.47112767430373
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@end smalllisp
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@end group
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@end example
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Since initialization keywords have been defined for the four slots, we
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can now define the @code{make-rectangular} and @code{make-polar} standard
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Scheme primitives.
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@lisp
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(define make-rectangular
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(lambda (x y) (make <my-complex> #:r x #:i y)))
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(define make-polar
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(lambda (x y) (make <my-complex> #:magn x #:angle y)))
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@end lisp
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@node Inheritance
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@subsection Inheritance
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@c \label{inheritance}
|
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|
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@menu
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* Class hierarchy and inheritance of slots::
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* Class precedence list::
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@end menu
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|
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@node Class hierarchy and inheritance of slots
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@subsubsection Class hierarchy and inheritance of slots
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Inheritance is specified upon class definition. As said in the
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introduction, @goops{} supports multiple inheritance. Here are some
|
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class definitions:
|
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@lisp
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(define-class A () a)
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(define-class B () b)
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(define-class C () c)
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(define-class D (A B) d a)
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(define-class E (A C) e c)
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(define-class F (D E) f)
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@end lisp
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@code{A}, @code{B}, @code{C} have a null list of super classes. In this
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case, the system will replace it by the list which only contains
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@code{<object>}, the root of all the classes defined by
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@code{define-class}. @code{D}, @code{E}, @code{F} use multiple
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inheritance: each class inherits from two previously defined classes.
|
|
Those class definitions define a hierarchy which is shown in Figure@ 1.
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|
In this figure, the class @code{<top>} is also shown; this class is the
|
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super class of all Scheme objects. In particular, @code{<top>} is the
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super class of all standard Scheme types.
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@example
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|
@group
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@iftex
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|
@center @image{hierarchy,5in}
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@end iftex
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@ifnottex
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|
@verbatiminclude hierarchy.txt
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@end ifnottex
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@emph{Fig 1: A class hierarchy}
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|
@emph{(@code{<complex>} which is the direct subclass of @code{<number>}
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and the direct superclass of @code{<real>} has been omitted in this
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figure.)}
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@end group
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@end example
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|
|
The set of slots of a given class is calculated by taking the union of the
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slots of all its super class. For instance, each instance of the class
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D, defined before will have three slots (@code{a}, @code{b} and
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@code{d}). The slots of a class can be obtained by the @code{class-slots}
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primitive. For instance,
|
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@lisp
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|
(class-slots A) @result{} ((a))
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(class-slots E) @result{} ((a) (e) (c))
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(class-slots F) @result{} ((e) (c) (b) (d) (a) (f))
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|
@c used to be ((d) (a) (b) (c) (f))
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@end lisp
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@emph{Note: } The order of slots is not significant.
|
|
|
|
@node Class precedence list
|
|
@subsubsection Class precedence list
|
|
|
|
A class may have more than one superclass. @footnote{This section is an
|
|
adaptation of Jeff Dalton's (J.Dalton@@ed.ac.uk) @cite{Brief
|
|
introduction to CLOS}} With single inheritance (one superclass), it is
|
|
easy to order the super classes from most to least specific. This is the
|
|
rule:
|
|
|
|
@display
|
|
@cartouche
|
|
Rule 1: Each class is more specific than its superclasses.@c was \bf
|
|
@end cartouche
|
|
@end display
|
|
|
|
With multiple inheritance, ordering is harder. Suppose we have
|
|
|
|
@lisp
|
|
(define-class X ()
|
|
(x #:init-value 1))
|
|
|
|
(define-class Y ()
|
|
(x #:init-value 2))
|
|
|
|
(define-class Z (X Y)
|
|
(@dots{}))
|
|
@end lisp
|
|
|
|
In this case, the @code{Z} class is more specific than the @code{X} or
|
|
@code{Y} class for instances of @code{Z}. However, the @code{#:init-value}
|
|
specified in @code{X} and @code{Y} leads to a problem: which one
|
|
overrides the other? The rule in @goops{}, as in CLOS, is that the
|
|
superclasses listed earlier are more specific than those listed later.
|
|
So:
|
|
|
|
@display
|
|
@cartouche
|
|
Rule 2: For a given class, superclasses listed earlier are more
|
|
specific than those listed later.
|
|
@end cartouche
|
|
@end display
|
|
|
|
These rules are used to compute a linear order for a class and all its
|
|
superclasses, from most specific to least specific. This order is
|
|
called the ``class precedence list'' of the class. Given these two
|
|
rules, we can claim that the initial form for the @code{x} slot of
|
|
previous example is 1 since the class @code{X} is placed before @code{Y}
|
|
in class precedence list of @code{Z}.
|
|
|
|
These two rules are not always enough to determine a unique order,
|
|
however, but they give an idea of how things work. Taking the @code{F}
|
|
class shown in Figure@ 1, the class precedence list is
|
|
|
|
@example
|
|
(f d e a c b <object> <top>)
|
|
@end example
|
|
|
|
However, it is usually considered a bad idea for programmers to rely on
|
|
exactly what the order is. If the order for some superclasses is important,
|
|
it can be expressed directly in the class definition.
|
|
|
|
The precedence list of a class can be obtained by the function
|
|
@code{class-precedence-list}. This function returns a ordered
|
|
list whose first element is the most specific class. For instance,
|
|
|
|
@lisp
|
|
(class-precedence-list B) @result{} (#<<class> B 401b97c8>
|
|
#<<class> <object> 401e4a10>
|
|
#<<class> <top> 4026a9d8>)
|
|
@end lisp
|
|
|
|
However, this result is not too much readable; using the function
|
|
@code{class-name} yields a clearer result:
|
|
|
|
@lisp
|
|
(map class-name (class-precedence-list B)) @result{} (B <object> <top>)
|
|
@end lisp
|
|
|
|
@node Generic functions
|
|
@subsection Generic functions
|
|
|
|
@menu
|
|
* Generic functions and methods::
|
|
* Next-method::
|
|
* Example::
|
|
@end menu
|
|
|
|
@node Generic functions and methods
|
|
@subsubsection Generic functions and methods
|
|
|
|
@c \label{gf-n-methods}
|
|
Neither @goops{} nor CLOS use the message mechanism for methods as most
|
|
Object Oriented language do. Instead, they use the notion of
|
|
@dfn{generic functions}. A generic function can be seen as a methods
|
|
``tanker''. When the evaluator requested the application of a generic
|
|
function, all the methods of this generic function will be grabbed and
|
|
the most specific among them will be applied. We say that a method
|
|
@var{M} is @emph{more specific} than a method @var{M'} if the class of
|
|
its parameters are more specific than the @var{M'} ones. To be more
|
|
precise, when a generic function must be ``called'' the system will:
|
|
|
|
@cindex generic function
|
|
@enumerate
|
|
@item
|
|
search among all the generic function those which are applicable
|
|
@item
|
|
sort the list of applicable methods in the ``most specific'' order
|
|
@item
|
|
call the most specific method of this list (i.e. the first method of
|
|
the sorted methods list).
|
|
@end enumerate
|
|
|
|
The definition of a generic function is done with the
|
|
@code{define-generic} macro. Definition of a new method is done with the
|
|
@code{define-method} macro. Note that @code{define-method} automatically
|
|
defines the generic function if it has not been defined
|
|
before. Consequently, most of the time, the @code{define-generic} needs
|
|
not be used.
|
|
@findex define-generic
|
|
@findex define-method
|
|
Consider the following definitions:
|
|
|
|
@lisp
|
|
(define-generic G)
|
|
(define-method (G (a <integer>) b) 'integer)
|
|
(define-method (G (a <real>) b) 'real)
|
|
(define-method (G a b) 'top)
|
|
@end lisp
|
|
|
|
The @code{define-generic} call defines @var{G} as a generic
|
|
function. Note that the signature of the generic function is not given
|
|
upon definition, contrarily to CLOS. This will permit methods with
|
|
different signatures for a given generic function, as we shall see
|
|
later. The three next lines define methods for the @var{G} generic
|
|
function. Each method uses a sequence of @dfn{parameter specializers}
|
|
that specify when the given method is applicable. A specializer permits
|
|
to indicate the class a parameter must belong to (directly or
|
|
indirectly) to be applicable. If no specializer is given, the system
|
|
defaults it to @code{<top>}. Thus, the first method definition is
|
|
equivalent to
|
|
|
|
@cindex parameter specializers
|
|
@lisp
|
|
(define-method (G (a <integer>) (b <top>)) 'integer)
|
|
@end lisp
|
|
|
|
Now, let us look at some possible calls to generic function @var{G}:
|
|
|
|
@lisp
|
|
(G 2 3) @result{} integer
|
|
(G 2 #t) @result{} integer
|
|
(G 1.2 'a) @result{} real
|
|
@c (G #3 'a) @result{} real @c was {\sharpsign}
|
|
(G #t #f) @result{} top
|
|
(G 1 2 3) @result{} error (since no method exists for 3 parameters)
|
|
@end lisp
|
|
|
|
The preceding methods use only one specializer per parameter list. Of
|
|
course, each parameter can use a specializer. In this case, the
|
|
parameter list is scanned from left to right to determine the
|
|
applicability of a method. Suppose we declare now
|
|
|
|
@lisp
|
|
(define-method (G (a <integer>) (b <number>)) 'integer-number)
|
|
(define-method (G (a <integer>) (b <real>)) 'integer-real)
|
|
(define-method (G (a <integer>) (b <integer>)) 'integer-integer)
|
|
(define-method (G a (b <number>)) 'top-number)
|
|
@end lisp
|
|
|
|
In this case,
|
|
|
|
@lisp
|
|
(G 1 2) @result{} integer-integer
|
|
(G 1 1.0) @result{} integer-real
|
|
(G 1 #t) @result{} integer
|
|
(G 'a 1) @result{} top-number
|
|
@end lisp
|
|
|
|
@node Next-method
|
|
@subsubsection Next-method
|
|
|
|
When you call a generic function, with a particular set of arguments,
|
|
GOOPS builds a list of all the methods that are applicable to those
|
|
arguments and orders them by how closely the method definitions match
|
|
the actual argument types. It then calls the method at the top of this
|
|
list. If the selected method's code wants to call on to the next method
|
|
in this list, it can do so by using @code{next-method}.
|
|
|
|
@lisp
|
|
(define-method (Test (a <integer>)) (cons 'integer (next-method)))
|
|
(define-method (Test (a <number>)) (cons 'number (next-method)))
|
|
(define-method (Test a) (list 'top))
|
|
@end lisp
|
|
|
|
With these definitions,
|
|
|
|
@lisp
|
|
(Test 1) @result{} (integer number top)
|
|
(Test 1.0) @result{} (number top)
|
|
(Test #t) @result{} (top)
|
|
@end lisp
|
|
|
|
@code{next-method} is always called as just @code{(next-method)}. The
|
|
arguments for the next method call are always implicit, and always the
|
|
same as for the original method call.
|
|
|
|
If you want to call on to a method with the same name but with a
|
|
different set of arguments (as you might with overloaded methods in C++,
|
|
for example), you do not use @code{next-method}, but instead simply
|
|
write the new call as usual:
|
|
|
|
@lisp
|
|
(define-method (Test (a <number>) min max)
|
|
(if (and (>= a min) (<= a max))
|
|
(display "Number is in range\n"))
|
|
(Test a))
|
|
|
|
(Test 2 1 10)
|
|
@print{}
|
|
Number is in range
|
|
@result{}
|
|
(integer number top)
|
|
@end lisp
|
|
|
|
(You should be careful in this case that the @code{Test} calls do not
|
|
lead to an infinite recursion, but this consideration is just the same
|
|
as in Scheme code in general.)
|
|
|
|
@node Example
|
|
@subsubsection Example
|
|
|
|
In this section we shall continue to define operations on the @code{<my-complex>}
|
|
class defined in Figure@ 2. Suppose that we want to use it to implement
|
|
complex numbers completely. For instance a definition for the addition of
|
|
two complexes could be
|
|
|
|
@lisp
|
|
(define-method (new-+ (a <my-complex>) (b <my-complex>))
|
|
(make-rectangular (+ (real-part a) (real-part b))
|
|
(+ (imag-part a) (imag-part b))))
|
|
@end lisp
|
|
|
|
To be sure that the @code{+} used in the method @code{new-+} is the standard
|
|
addition we can do:
|
|
|
|
@lisp
|
|
(define-generic new-+)
|
|
|
|
(let ((+ +))
|
|
(define-method (new-+ (a <my-complex>) (b <my-complex>))
|
|
(make-rectangular (+ (real-part a) (real-part b))
|
|
(+ (imag-part a) (imag-part b)))))
|
|
@end lisp
|
|
|
|
The @code{define-generic} ensures here that @code{new-+} will be defined
|
|
in the global environment. Once this is done, we can add methods to the
|
|
generic function @code{new-+} which make a closure on the @code{+}
|
|
symbol. A complete writing of the @code{new-+} methods is shown in
|
|
Figure@ 3.
|
|
|
|
@example
|
|
@group
|
|
@lisp
|
|
(define-generic new-+)
|
|
|
|
(let ((+ +))
|
|
|
|
(define-method (new-+ (a <real>) (b <real>)) (+ a b))
|
|
|
|
(define-method (new-+ (a <real>) (b <my-complex>))
|
|
(make-rectangular (+ a (real-part b)) (imag-part b)))
|
|
|
|
(define-method (new-+ (a <my-complex>) (b <real>))
|
|
(make-rectangular (+ (real-part a) b) (imag-part a)))
|
|
|
|
(define-method (new-+ (a <my-complex>) (b <my-complex>))
|
|
(make-rectangular (+ (real-part a) (real-part b))
|
|
(+ (imag-part a) (imag-part b))))
|
|
|
|
(define-method (new-+ (a <number>)) a)
|
|
|
|
(define-method (new-+) 0)
|
|
|
|
(define-method (new-+ . args)
|
|
(new-+ (car args)
|
|
(apply new-+ (cdr args)))))
|
|
|
|
(set! + new-+)
|
|
@end lisp
|
|
|
|
@center @emph{Fig 3: Extending @code{+} for dealing with complex numbers}
|
|
@end group
|
|
@end example
|
|
|
|
@sp 3
|
|
We use here the fact that generic function are not obliged to have the
|
|
same number of parameters, contrarily to CLOS. The four first methods
|
|
implement the dyadic addition. The fifth method says that the addition
|
|
of a single element is this element itself. The sixth method says that
|
|
using the addition with no parameter always return 0. The last method
|
|
takes an arbitrary number of parameters@footnote{The parameter list for
|
|
a @code{define-method} follows the conventions used for Scheme
|
|
procedures. In particular it can use the dot notation or a symbol to
|
|
denote an arbitrary number of parameters}. This method acts as a kind
|
|
of @code{reduce}: it calls the dyadic addition on the @emph{car} of the
|
|
list and on the result of applying it on its rest. To finish, the
|
|
@code{set!} permits to redefine the @code{+} symbol to our extended
|
|
addition.
|
|
|
|
@sp 3
|
|
To terminate our implementation (integration?) of complex numbers, we can
|
|
redefine standard Scheme predicates in the following manner:
|
|
|
|
@lisp
|
|
(define-method (complex? c <my-complex>) #t)
|
|
(define-method (complex? c) #f)
|
|
|
|
(define-method (number? n <number>) #t)
|
|
(define-method (number? n) #f)
|
|
@dots{}
|
|
@dots{}
|
|
@end lisp
|
|
|
|
Standard primitives in which complex numbers are involved could also be
|
|
redefined in the same manner.
|
|
|