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; Copyright (C) 2018 Centaur Technology
;
; Contact:
; Centaur Technology Formal Verification Group
; 7600-C N. Capital of Texas Highway, Suite 300, Austin, TX 78731, USA.
; http://www.centtech.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
; DEALINGS IN THE SOFTWARE.
;
; Original author: Sol Swords <sswords@centtech.com>
(in-package "STR")
(include-book "printtree")
(local (include-book "printtree-fix"))
(defsection printable-empty-p
(defund-inline printable-empty-p (x)
(declare (xargs :guard (printable-p x)))
(let ((x (printable-fix x)))
(or (not x) (equal x ""))))
(local (in-theory (enable printable-empty-p
printable-fix
printable-p
printable->str)))
(local (defthm character-listp-of-make-character-list
(character-listp (make-character-list x))))
(local (defthm coerce-inverse-better
(equal (coerce (coerce x 'string) 'list)
(make-character-list x))
:hints (("goal" :use ((:instance acl2::completion-of-coerce
(x x) (y 'string)))))))
(local (defthm length-of-coerce-list-x
(equal (length (coerce (list x) 'string)) 1)
:rule-classes nil))
(local (defthm char-to-list-not-empty
(not (equal (coerce (list x) 'string) ""))
:hints (("goal" :use ((:instance length-of-coerce-list-x))))))
(defthm printable-empty-p-means-empty
(equal (printable-empty-p x)
(equal (printable->str x) ""))))
(defsection printtree-obviously-empty-p
(local (in-theory (enable printtree->str
printtree-p)))
(defund-inline printtree-obviously-empty-p (x)
(declare (xargs :guard (printtree-p x)))
(and (atom x)
(printable-empty-p x)))
(local (in-theory (enable printtree-obviously-empty-p)))
(defthmd printtree-obviously-empty-p-implies-empty
(implies (printtree-obviously-empty-p x)
(equal (printtree->str x) ""))))
(defsection printtree-concat
(local (in-theory (enable printtree-obviously-empty-p-implies-empty)))
(defund printtree-concat (x y)
(declare (xargs :guard (and (printtree-p x)
(printtree-p y))))
(cond ((printtree-obviously-empty-p x) (printtree-fix y))
((printtree-obviously-empty-p y) (printtree-fix x))
(t (cons (printtree-fix y) (printtree-fix x)))))
(local (in-theory (enable printtree-concat)))
(defthm printtree-p-of-printtree-concat
(printtree-p (printtree-concat x y)))
(defthm printtree->str-of-printtree-concat
(equal (printtree->str (printtree-concat x y))
(string-append (printtree->str x) (printtree->str y)))
:hints(("Goal" :in-theory (enable printtree->str)))))
(defmacro printtree-rconcat (x y)
`(printtree-concat ,y ,x))
(defmacro pcat (&rest args)
(xxxjoin 'printtree-rconcat (reverse args)))
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