Major Section: EVENTS
Example: (defstobj st (reg :type (array (unsigned-byte 31) (8)) :initially 0) (p-c :type (unsigned-byte 31) :initially 555) halt ; = (halt :type t :initially nil) (mem :type (array (unsigned-byte 31) (64)) :initially 0 :resizable t))whereGeneral Form: (defstobj name (field1 :type type1 :initially val1 :resizable b1) ... (fieldk :type typek :initially valk :resizable bk) :renaming alist :doc doc-string)
name
is a new symbol, each fieldi
is a symbol, each
typei
is either a type-spec
or (ARRAY
type-spec
(max))
,
each vali
is an object satisfying typei
, and each bi
is t
or nil
.
Each pair :initially vali
and :resizable bi
may be omitted; more
on this below. The alist
argument is optional and allows the user
to override the default function names introduced by this event.
The doc-string
is also optional. We describe further
restrictions on the fieldi
, typei
, vali
, and on
alist
below. We recommend that you read about
single-threaded objects (stobjs) in ACL2 before proceeding;
see stobj.
The effect of this event is to introduce a new single-threaded
object (i.e., a ``stobj''), named name
, and the associated
recognizers, creator, accessors, updaters, constants, and, for
fields of ARRAY
type, length and resize functions.
The Single-Threaded Object Introduced
The defstobj
event effectively introduces a new global
variable, named name
, which has as its initial logical value
a list of k
elements, where k
is the number of ``field
descriptors'' provided. The elements are listed in the same order
in which the field descriptors appear. If the :type
of a field
is (ARRAY type-spec (max))
then the corresponding element of
the stobj is initially a list of length max
containing the value,
val
, specified by :initially val
. Otherwise, the :type
of the field is a type-spec
and the corresponding element of
the stobj is the specified initial value val
. (The actual
representation of the stobj in the underlying Lisp may be quite
different, as described in stobj-example-2. For the moment we
focus entirely on the logical aspects of the object.)
In addition, the defstobj
event introduces functions for
recognizing and creating the stobj and for recognizing, accessing,
and updating its fields. For fields of ARRAY
type, length and
resize functions are also introduced. Constants are introduced that
correspond to the accessor functions.
Restrictions on the Field Descriptions in Defstobj
Each field descriptor is of the form:
(fieldi :TYPE typei :INITIALLY vali)Note that the type and initial value are given in ``keyword argument'' format and may be given in either order. The
typei
and vali
``arguments'' are not evaluated. If omitted, the type
defaults to t
(unrestricted) and the initial value defaults to
nil
.
Each typei
must be either a type-spec
or else a list of
the form (ARRAY type-spec (max))
. The latter forms are said to
be ``array types.'' Examples of legal typei
are:
(INTEGERP 0 31) (SIGNED-BYTE 31) (ARRAY (SIGNED-BYTE 31) (16))
The typei
describes the objects which are expected to occupy
the given field. Those objects in fieldi
should satisfy
typei
. We are more precise below about what we mean by
``expected.'' We first present the restrictions on typei
and
vali
.
Non-Array Types
When typei
is a type-spec
it restricts the contents,
x
, of fieldi
according to the ``meaning'' formula given in
the table for type-spec
. For example, the first typei
above restricts the field to be an integer between 0 and 31,
inclusive. The second restricts the field to be an integer between
-2^30 and (2^30)-1, inclusive.
The initial value, vali
, of a field description may be any ACL2
object but must satisfy typei
. Note that vali
is not a
form to be evaluated but an object. A form that evaluates to
vali
could be written 'vali
, but defstobj
does not
expect you to write the quote mark. For example, the field
description
(days-off :initially (saturday sunday))describes a field named
days-off
whose initial value is the list
consisting of the two symbols SATURDAY
and SUNDAY
. In
particular, the initial value is NOT obtained by applying the
function saturday
to the variable sunday
! Had we written
(days-off :initially '(saturday sunday))it would be equivalent to writing
(days-off :initially (quote (saturday sunday)))which would initialize the field to a list of length two, whose first element is the symbol
quote
and whose second element is a list
containing the symbols saturday
and sunday
.Array Types
When typei
is of the form (ARRAY type-spec (max))
, the
field is supposed to be a list of items, initially of length max
,
each of which satisfies the indicated type-spec
. Max
must be a
non-negative integer less than (2^28)-1. We discuss this limitation
below. Thus,
(ARRAY (SIGNED-BYTE 31) (16))restricts the field to be a list of integers, initially of length 16, where each integer in the list is a
(SIGNED-BYTE 31)
. We
sometimes call such a list an ``array'' (because it is represented
as an array in the underlying Common Lisp). The elements of an
array field are indexed by position, starting at 0. Thus, the
maximum legal index of an array field is max
-1.
Note that the ARRAY
type requires that the max
be enclosed
in parentheses. This makes ACL2's notation consistent with the
Common Lisp convention of describing the (multi-)dimensionality of
arrays. But ACL2 currently supports only single dimensional arrays
in stobjs.
Note also that ACL2's max
must be less than (2^28)-1. Each
Common Lisp implementation is allowed to set its own upper bound on
array size. That upper bound is given by the Common Lisp
``constant'' array-dimension-limit
, which varies from Lisp to
Lisp. The standard requires that array-dimension-limit
be a
fixnum larger than 1023. When ACL2 was built we checked that the
array-dimension-limit
in this Lisp is at least (2^28)-1. But
there are Lisps in which the fixnum limit is (2^28)-1. In an
effort to ensure that ACL2 is portable between Lisps, we have
limited our max
. If this limitation prevents you from using
ACL2, please notify the implementors and we will modify our
treatment of max
. (Even as it stands, some ACL2 hosts can
handle larger problems than others, simply because of memory
restrictions. So there is precedent for being more relaxed here.)
For array fields, the initial value vali
must be an object satisfying
the type-spec
of the ARRAY
description. The initial value
of the field is a list of max
repetitions of vali
.
Array fields can be ``resized,'' that is, their lengths can be
changed, if :resizable t
is supplied as shown in the example and
General Form above. The new length must satisfy the same
restriction as does max
, as described above. Each array field in a
defstobj
event gives rise to a length function, which gives the
length of the field, and a resize function, which modifies the
length of the field if :resizable t
was supplied with the field when
the defstobj
was introduced and otherwise causes an error.
Array resizing is relatively slow, so we recommend using it somewhat sparingly.
The Default Function Names
To recap, in
(defstobj name (field1 :type type1 :initially val1) ... (fieldk :type typek :initially valk) :renaming alist :doc doc-string)
name
must be a new symbol, each fieldi
must be a symbol,
each typei
must be a type-spec
or (ARRAY type-spec (max))
,
and each vali
must be an object satisfying typei
.
Roughly speaking, for each fieldi
, a defstobj
introduces a
recognizer function, an accessor function, and an updater function.
The accessor function, for example, takes the stobj and returns the
indicated component; the updater takes a new component value and the
stobj and return a new stobj with the component replaced by the new
value. But that summary is inaccurate for array fields.
The accessor function for an array field does not take the stobj
and return the indicated component array, which is a list of length
max
. Instead, it takes an additional index argument and
returns the indicated element of the array component. Similarly,
the updater function for an array field takes an index, a new
value, and the stobj, and returns a new stobj with the indicated
element replaced by the new value.
These functions -- the recognizer, accessor, and updater, and also
length and resize functions in the case of array fields -- have
``default names.'' The default names depend on the field name,
fieldi
, and on whether the field is an array field or not. For
clarity, suppose fieldi
is named c
. The default names are
shown below in calls, which also indicate the arities of the
functions. In the expressions, we use x
as the object to be
recognized by field recognizers, i
as an array index, v
as
the ``new value'' to be installed by an updater, and name
as the
single-threaded object.
non-array field array field recognizer (cP x) (cP x) accessor (c name) (cI i name) updater (UPDATE-c v name) (UPDATE-cI i v name) length (c-LENGTH name) resize (RESIZE-c k name)
Finally, a recognizer and a creator for the entire single-threaded
object are introduced. The creator returns the initial stobj, but
may only be used in limited contexts; see with-local-stobj. If
the single-threaded object is named name
, then the default names
and arities are as shown below.
top recognizer (nameP x) creator (CREATE-name)
For example, the event
(DEFSTOBJ $S (X :TYPE INTEGER :INITIALLY 0) (A :TYPE (ARRAY (INTEGER 0 9) (3)) :INITIALLY 9))introduces a stobj named
$S
. The stobj has two fields, X
and
A
. The A
field is an array. The X
field contains an
integer and is initially 0. The A
field contains a list of
integers, each between 0 and 9, inclusively. Initially, each of the
three elements of the A
field is 9.This event introduces the following sequence of definitions:
(DEFUN XP (X) ...) ; recognizer for X field (DEFUN AP (X) ...) ; recognizer of A field (DEFUN $SP ($S) ...) ; top-level recognizer for stobj $S (DEFUN CREATE-$S () ...) ; creator for stobj $S (DEFUN X ($S) ...) ; accessor for X field (DEFUN UPDATE-X (V $S) ...) ; updater for X field (DEFUN A-LENGTH ($S) ...) ; length of A field (DEFUN RESIZE-A (K $S) ...) ; resizer for A field (DEFUN AI (I $S) ...) ; accessor for A field at index I (DEFUN UPDATE-AI (I V $S) ...) ; updater for A field at index I
Avoiding the Default Function Names
If you do not like the default names listed above you may use the
optional :renaming
alist to substitute names of your own
choosing. Each element of alist
should be of the form
(fn1 fn2)
, where fn1
is a default name and fn2
is your choice
for that name.
For example
(DEFSTOBJ $S (X :TYPE INTEGER :INITIALLY 0) (A :TYPE (ARRAY (INTEGER 0 9) (3)) :INITIALLY 9) :renaming ((X XACCESSOR) (CREATE-$S MAKE$S)))introduces the following definitions
(DEFUN XP (X) ...) ; recognizer for X field (DEFUN AP (X) ...) ; recognizer of A field (DEFUN $SP ($S) ...) ; top-level recognizer for stobj $S (DEFUN MAKE$S () ...) ; creator for stobj $S (DEFUN XACCESSOR ($S) ...) ; accessor for X field (DEFUN UPDATE-X (V $S) ...) ; updater for X field (DEFUN A-LENGTH ($S) ...) ; length of A field (DEFUN RESIZE-A (K $S) ...) ; resizer for A field (DEFUN AI (I $S) ...) ; accessor for A field at index I (DEFUN UPDATE-AI (I V $S) ...) ; updater for A field at index INote that even though the renaming alist substitutes ``
XACCESSOR
''
for ``X
'' the updater for the X
field is still called
``UPDATE-X
.'' That is because the renaming is applied to the
default function names, not to the field descriptors in the
event.
Use of the :renaming
alist may be necessary to avoid name
clashes between the default names and and pre-existing function
symbols.
Constants
Defstobj
events also introduce constant definitions
(see defconst). One constant is introduced for each accessor
function by prefixing and suffixing a `*
' character on the function
name. The value of that constant is the position of the field being
accessed. For example, if the accessor functions are a
, b
, and c
,
in that order, then the following constant definitions are introduced.
(defconst *a* 0) (defconst *b* 1) (defconst *c* 2)These constants are used for certain calls of
nth
and update-nth
that are displayed to the user in proof output. For example, for
stobj st
with accessor functions a
, b
, and c
, in that order, the
term (nth '2 st)
would be printed during a proof as (nth *c* st)
.
Also see term, in particular the discussion there of untranslated
terms, and see nth-aliases-table.Inspecting the Effects of a Defstobj
Because the stobj functions are introduced as ``sub-events'' of the
defstobj
the history commands :
pe
and :
pc
will not print the definitions of these functions but will print
the superior defstobj
event. To see the definitions of these
functions use the history command :
pcb!
.
To see an s-expression indicating what the raw Lisp implementation of the event is, evaluate the form
(global-val 'cltl-command (w state))immediately after the
defstobj
event has been processed.
A defstobj
is considered redundant only if the name, field
descriptors and renaming alist are identical to a previously executed
defstobj
.