/
templates-hierarchy.lisp
  1 ;;;; -*- Mode: Lisp -*-
  2 
  3 ;;;; templates-hierarchy.lisp --
  4 
  5 ;;;; See file COPYING for copyright licensing information.
  6 
  7 (in-package "CL.EXT.DACF.UNIFICATION") ; DACF = Data And Control Flow.
  8 
  9 ;;; Templates.
 10 ;;; Essentially we extend the type specifier language.
 11 ;;; The interesting thing is that we need to specify how a "match"
 12 ;;; between a template and a CL object is performed.
 13 
 14 ;;; A template is one of the following
 15 ;;;
 16 ;;;    <template> ::= <logical variable>
 17 ;;;               |   <structure template>
 18 ;;;               |   <instance template>
 19 ;;;               |   <destructuring template>
 20 ;;;               |   <vector template>
 21 ;;;               |   <sequence template>
 22 ;;;               |   <array template>
 23 ;;;               |   <type template>
 24 ;;;               |   <lisp object>
 25 ;;;
 26 
 27 ;;; Destructuring Template Lambda List (as per standard CL terminology)
 28 ;;;
 29 ;;;     <destructuring template lambda list> ::= <a "destructuring LL" with <template> in lieu of <var>>
 30 
 31 ;;; Templates for Structures and Instances
 32 ;;;
 33 ;;;	<structure template> ::= (<class designator> <structure-slot-spec>*)
 34 ;;;
 35 ;;;     <instance template>  ::= (<class designator> <slot-spec>*)
 36 ;;;
 37 ;;; where
 38 ;;;
 39 ;;;     <structure-slot-spec> ::= <reader-name> <template>
 40 ;;;     <instance-slot-spec>  ::= <accessor-name> <template>
 41 ;;;                           |   (slot-value <slot-name>) <template>
 42 
 43 ;;; Template for Sequences
 44 ;;;
 45 ;;;     <sequence template>    ::= (<container type> . <destructuring template lambda list>)
 46 ;;;                            |   (subseq <from> <to> . <destructuring template lambda list>)
 47 ;;;     <container type>       ::= list | cons | vector | array
 48 
 49 ;;; Templates for Vectors and Arrays.
 50 ;;;
 51 ;;;     <vector template> ::= (vector . <destructuring template lambda list>)
 52 ;;;
 53 ;;;     <array template>  ::= (array <shape template>)
 54 ;;;                       |   (<array CL type specifier> <shape template>)
 55 ;;;                       |   (array (['*' | <element type>] [<dimension spec>]]) <shape template>)
 56 ;;;                       |   (aref <index template> <template>)
 57 ;;;     <shape template>  ::= <destructuring template lambda list>
 58 ;;;                       |   <sequence template>
 59 ;;;                       |   (<shape template>)
 60 
 61 ;;; Templates for LIST and CONS
 62 ;;;     <list template>   ::= (list . <destructuring template lambda list>)
 63 ;;;     <cons template>   ::= (cons <template> <template>)
 64 
 65 ;;; A regular list or cons acts as a list (hence as a sequence) template, or a cons template.
 66 
 67 (define-condition unification-template-error (simple-error)
 68   ())
 69 
 70 ;;; Templates are introduced by the reader macro #T(...)
 71 
 72 (defclass template ()
 73   ((spec :accessor template-spec :type (or symbol cons) :initarg :spec))
 74   (:default-initargs :spec nil))
 75 
 76 (defgeneric template-p (x)
 77   (:method ((x template)) t)
 78   (:method ((x t)) nil))
 79 
 80 
 81 (defclass type-template (template) ())
 82 
 83 (defgeneric type-template-p (x)
 84   (:method ((x type-template)) t)
 85   (:method ((x t)) nil))
 86 
 87 
 88 (defgeneric type-template-type-spec (x)
 89   (:method ((x type-template))
 90    (let ((spec (template-spec x)))
 91      (if spec
 92          (first spec)
 93          'null))))
 94 
 95 
 96 
 97 (defclass nil-template (type-template) ()) ; This is the point where we break the type hierarchy.
 98 
 99 (defgeneric nil-template-p (x)
100   (:method ((x nil-template)) t)
101   (:method ((x t)) nil))
102 
103 
104 (defclass expression-template (template) ())
105 
106 (defgeneric expression-template-p (x)
107   (:method ((x expression-template)) t)
108   (:method ((x t)) nil))
109 
110 
111 (defmethod print-object ((template template) stream)
112   (format stream "#T~S" (template-spec template)))
113 
114 
115 (defclass sequence-template (type-template) ())
116 
117 (defgeneric sequence-template-p (x)
118   (:method ((x sequence-template)) t)
119   (:method ((x t)) nil))
120 
121 
122 (defclass list-template (sequence-template) ())
123 
124 (defgeneric list-template-p (x)
125   (:method ((x list-template)) t)
126   (:method ((x t)) nil))
127 
128 
129 (defclass lambda-template (list-template expression-template) ())
130 
131 (defgeneric lambda-template-p (x)
132   (:method ((x lambda-template)) t)
133   (:method ((x t)) nil))
134 
135 
136 
137 (defclass array-template (type-template) ())
138 
139 (defgeneric array-template-p (x)
140   (:method ((x array-template)) t)
141   (:method ((x t)) nil))
142 
143 
144 (defclass vector-template (sequence-template array-template) ())
145 
146 (defgeneric vector-template-p (x)
147   (:method ((x vector-template)) t)
148   (:method ((x t)) nil))
149 
150 
151 (defclass string-template (vector-template) ())
152 
153 (defgeneric string-template-p (x)
154   (:method ((x string-template)) t)
155   (:method ((x t)) nil))
156 
157 
158 
159 
160 (defclass symbol-template (type-template) ())
161 
162 (defgeneric symbol-template-p (x)
163   (:method ((x symbol-template)) t)
164   (:method ((x t)) nil))
165 
166 
167 (defclass number-template (type-template) ())
168 
169 (defgeneric number-template-p (x)
170   (:method ((x number-template)) t)
171   (:method ((x t)) nil))
172 
173 
174 (defclass structure-object-template (type-template) ())
175 
176 (defgeneric structure-object-template-p (x)
177   (:method ((x structure-object-template)) t)
178   (:method ((x t)) nil))
179 
180 
181 (defclass standard-object-template (type-template) ())
182 
183 (defgeneric standard-object-template-p (x)
184   (:method ((x standard-object-template)) t)
185   (:method ((x t)) nil))
186 
187 
188 ;;; Expression Templates.
189 
190 (defclass subseq-template (expression-template) ())
191 
192 (defgeneric subseq-template-p (x)
193   (:method ((x subseq-template)) t)
194   (:method ((x t)) nil))
195 
196 
197 
198 (defclass element-template (expression-template) ())
199 
200 (defgeneric element-template-p (x)
201   (:method ((x element-template)) t)
202   (:method ((x t)) nil))
203 
204 
205 (defclass elt-template (element-template) ())
206 
207 (defgeneric elt-template-p (x)
208   (:method ((x elt-template)) t)
209   (:method ((x t)) nil))
210 
211 
212 (defclass aref-template (element-template) ())
213 
214 (defgeneric aref-template-p (x)
215   (:method ((x aref-template)) t)
216   (:method ((x t)) nil))
217 
218 
219 (defclass nth-template (element-template) ())
220 
221 (defgeneric nth-template-p (x)
222   (:method ((x nth-template)) t)
223   (:method ((x t)) nil))
224 
225 
226 (defclass nthcdr-template (element-template) ())
227 
228 (defgeneric nthcdr-template-p (x)
229   (:method ((x nthcdr-template)) t)
230   (:method ((x t)) nil))
231 
232 
233 (defgeneric make-template (kind spec))
234 
235 
236 (defmethod make-template ((kind null) (spec symbol))
237   (assert (null spec) (spec) "MAKE-TEMPLATE called erroneously with ~S and ~S." kind spec)
238   (make-instance 'nil-template :spec spec))
239 
240 (defmethod make-template ((kind symbol) (spec symbol))
241   (make-instance 'symbol-template :spec spec))
242 
243 (defmethod make-template ((kind (eql 'symbol)) (spec cons))
244   (make-instance 'symbol-template :spec spec))
245 
246 (defmethod make-template ((kind symbol) (spec cons))
247   (cond ((subtypep kind 'number)
248          (make-instance 'number-template :spec spec))
249         ((subtypep kind 'structure-object)
250          (make-instance 'structure-object-template :spec spec))
251         ((subtypep kind 'standard-object)
252          (make-instance 'standard-object-template :spec spec))
253         (t
254          (error 'unification-template-error
255                 :format-control "Unknown template specifier ~S."
256                 :format-arguments (list kind)))
257         ))
258 
259 (defmethod make-template ((kind cons) (spec cons))
260   (cond ((subtypep kind 'number)
261          (make-instance 'number-template :spec spec))
262         ((subtypep kind 'string)
263          (make-instance 'string-template :spec spec))
264         ((subtypep kind 'vector)
265          (make-instance 'vector-template :spec spec))
266         ((subtypep kind 'array)
267          (make-instance 'array-template :spec spec))
268         (t
269          (error 'unification-template-error
270                 :format-control "Unknown template specifier ~S."
271                 :format-arguments (list kind)))
272         ))
273 
274 (defmethod make-template ((kind number) (spec number))
275   (assert (= kind spec))
276   (make-instance 'number-template :spec spec))
277 
278 (defmethod make-template ((kind (eql 'sequence)) (spec cons))
279   (make-instance 'sequence-template :spec spec))
280 
281 (defmethod make-template ((kind (eql 'list)) (spec cons))
282   (make-instance 'list-template :spec spec))
283 
284 (defmethod make-template ((kind (eql 'lambda)) (spec cons))
285   (make-instance 'lambda-template :spec spec))
286 
287 (defmethod make-template ((kind (eql 'vector)) (spec cons))
288   (make-instance 'vector-template :spec spec))
289 
290 (defmethod make-template ((kind (eql 'string)) (spec cons))
291   (make-instance 'string-template :spec spec))
292 
293 (defmethod make-template ((kind (eql 'array)) (spec cons))
294   (make-instance 'array-template :spec spec))
295 
296 
297 (defmethod make-template ((kind (eql 'subseq)) (spec cons))
298   (make-instance 'subseq-template :spec spec))
299 
300 (defmethod make-template ((kind (eql 'elt)) (spec cons))
301   (make-instance 'elt-template :spec spec))
302 
303 (defmethod make-template ((kind (eql 'aref)) (spec cons))
304   (make-instance 'aref-template :spec spec))
305 
306 (defmethod make-template ((kind (eql 'nth)) (spec cons))
307   (make-instance 'nth-template :spec spec))
308 
309 (defmethod make-template ((kind (eql 'nthcdr)) (spec cons))
310   (make-instance 'nthcdr-template :spec spec))
311 
312 
313 
314 ;;;;===========================================================================
315 ;;;; Implementation.
316 
317 ;;; Symbol Templates.
318 ;;; Specification is
319 ;;;
320 ;;;    (symbol <symbol>)
321 
322 (defun symbol-template-symbol (x)
323   (declare (type symbol-template x))
324   (assert (symbol-template-p x) (x) "Non symbol template ~S." x)
325   (let ((spec (template-spec x)))
326     (cond ((symbolp spec) spec)
327           ((consp spec) (second spec)))))
328 
329 
330 ;;; Number template
331 ;;; Specification is
332 ;;;
333 ;;;	(<number type> <number>)
334 ;;; or
335 ;;;
336 ;;;	<number>
337 
338 (defun number-template-number (x)
339   (declare (type number-template x))
340   (assert (number-template-p x) (x) "Non number template ~S." x)
341   (let ((spec (template-spec x)))
342     (etypecase spec
343       (symbol spec)
344       (number spec)
345       (cons (second spec)))))
346 
347 
348 (defun number-template-numeric-type (x)
349   (declare (type number-template x))
350   (let ((n (number-template-number x)))
351     (if (numberp n)
352         (type-of n)
353         (first (template-spec x)))))
354 
355 (defun number-template-numeric-class (x)
356   (declare (type number-template x))
357   (let ((n (number-template-number x)))
358     (if (numberp n)
359         (class-of n)
360         (find-class (first (template-spec x))))))
361 
362 
363 
364 
365 ;;; Sequence Templates.
366 ;;; Specification is
367 ;;;
368 ;;;	(<sequence subtype> . <destructuring template lambda list>)
369 ;;; or
370 ;;;     (subseq <from> <to> . <destructuring template lambda list>)
371 
372 (defun sequence-template-lambda-list (x)
373   (declare (type sequence-template x))
374   (assert (sequence-template-p x) (x) "Non sequence template ~S." x)
375   (rest (template-spec x)))
376 
377 
378 ;;; Vector Templates.
379 ;;; Specification is
380 ;;;
381 ;;;	(<vector type specifier> . <destructuring template lambda list>)
382 
383 (defun vector-template-element-type (x)
384   (declare (type vector-template x))
385   (assert (vector-template-p x) (x) "Non vector template ~S." x)
386   (let ((spec (type-template-type-spec x)))
387     (if (consp spec)
388         (destructuring-bind (vector-kwd &optional (element-type '*) size)
389             spec
390           (declare (ignore vector-kwd size))
391           element-type)
392         '*)))
393 
394 
395 (defun vector-template-size (x)
396   (declare (type vector-template x))
397   (assert (vector-template-p x) (x) "Non vector template ~S." x)
398   (let ((spec (type-template-type-spec x)))
399     (if (consp spec)
400         (destructuring-bind (vector-kwd &optional element-type (size '*))
401             spec
402           (declare (ignore vector-kwd element-type))
403           size)
404         '*)))
405 
406 
407 ;;; Array Templates.
408 ;;; Specification is
409 ;;;
410 ;;;	(array (['*' | <element type>] [<dimension spec>])  <shape template>)
411 ;;; or
412 ;;;	(<array type specifier> <shape template>)
413 
414 
415 (defun array-template-shape-template (x)
416   (declare (type array-template x))
417   (assert (array-template-p x) (x) "Non array template ~S." x)
418   (let ((t-spec (template-spec x)))
419     (if (= 2 (list-length t-spec))
420         (second t-spec)
421         (third t-spec))))
422 
423 
424 (defun array-template-element-type (x)
425   (declare (type array-template x))
426   (assert (array-template-p x) (x) "Non array template ~S." x)
427   (let ((type-spec (type-template-type-spec x)))
428     (if (consp type-spec)
429         (destructuring-bind (array-kwd &optional (element-type '*) dimension-spec)
430             type-spec
431           (declare (ignore array-kwd dimension-spec))
432           element-type)
433         '*)))
434 
435 
436 (defun array-template-dimensions (x)
437   (declare (type array-template x))
438   (assert (array-template-p x) (x) "Non array template ~S." x)
439   (let ((type-spec (type-template-type-spec x)))
440     (if (consp type-spec)
441         (destructuring-bind (array-kwd &optional element-type (dimension-spec '*))
442             type-spec
443           (declare (ignore array-kwd element-type))
444           dimension-spec)
445         '*)))
446 
447 
448 
449 ;;; Structure and Standard Object Templates.
450 
451 (defun structure-object-template-class (x)
452   (and (structure-object-template-p x)
453        (first (template-spec x))))
454 
455 (defun structure-object-template-slots (x)
456   (and (structure-object-template-p x)
457        (rest (template-spec x))))
458 
459 
460 (defun standard-object-template-class (x)
461   (and (standard-object-template-p x)
462        (first (template-spec x))))
463 
464 (defun standard-object-template-slots (x)
465   (and (standard-object-template-p x)
466        (rest (template-spec x))))
467 
468 
469 ;;;---------------------------------------------------------------------------
470 ;;; Expression Templates.
471 
472 
473 ;;; AREF Templates.
474 
475 (defun aref-template-indexes (x)
476   (declare (type aref-template x))
477   (assert (aref-template-p x) (x) "Non aref template ~S." x)
478   (let ((spec (template-spec x)))
479     (second spec)))
480 
481 
482 (defun aref-template-element (x)
483   (declare (type aref-template x))
484   (assert (aref-template-p x) (x) "Non array template ~S." x)
485   (let ((spec (template-spec x)))
486     (third spec)))
487 
488 
489 
490 
491 ;;;===========================================================================
492 ;;; Template variables.
493 ;;; Let's walk down a template.
494 ;;; Note that there is an asymmetry here: I admit some containers to have
495 ;;; variables inside, but I do not search instances of a class for variables.
496 ;;; This is an asymmetry that would be way too hard to fix without more
497 ;;; introspective power (which is available in the MOP, but not standard.)
498 
499 (defgeneric collect-template-vars (template))
500 
501 (defmethod collect-template-vars ((template template))
502   (let ((spec (template-spec template)))
503     (nconc (collect-template-vars (car spec))
504            (collect-template-vars (cdr spec)))))
505 
506 (defmethod collect-template-vars ((template symbol-template))
507   (let ((template (symbol-template-symbol template)))
508     (when (and (variablep template) (not (variable-any-p template)))
509       (list template))))
510 
511 
512 (defmethod collect-template-vars ((template number-template))
513   (let ((template (number-template-number template)))
514     (etypecase template
515       (number ())
516       (symbol (cond ((and (variablep template) (not (variable-any-p template)))
517                      (list template))
518                     ((and (boundp template)
519                           (numberp (symbol-value template)))
520                      ;; This handles cases like #T(number pi)
521                      ;; It may be too broad, but for the time being it seems ok.
522                      nil)
523                     (t
524                      (error "Invalid number template ~S." template)))))))
525 
526 
527 (defmethod collect-template-vars ((template symbol))
528   (when (and (variablep template) (not (variable-any-p template)))
529     (list template)))
530 
531 (defmethod collect-template-vars ((template null))
532   ())
533 
534 (defmethod collect-template-vars ((template cons))
535   (nconc (collect-template-vars (car template))
536          (collect-template-vars (cdr template))))
537 
538 (defmethod collect-template-vars ((template string))
539   ())
540 
541 
542 (defmethod collect-template-vars ((template vector))
543   (loop for e across template
544         nconc (collect-template-vars e)))
545 
546 
547 (defmethod collect-template-vars ((template array))
548   (loop for i below (array-total-size template)
549         nconc (collect-template-vars (row-major-aref template i))))
550 
551 
552 (defmethod collect-template-vars ((template t))
553   ())
554 
555 ;;; end of file -- templates.lisp --