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; ACL2 String Library
; Copyright (C) 2009-2013 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: Jared Davis <jared@centtech.com>
(in-package "STR")
(local (include-book "arithmetic"))
(local (include-book "tools/mv-nth" :dir :system))
;; BOZO why do we have this, we have strtok instead?
;; BOZO reimplement strsplit so that it is efficient.
(defund split-list-1 (x del)
(declare (xargs :guard t))
(cond ((atom x)
(mv nil nil))
((equal (car x) del)
(mv nil (cdr x)))
(t
(mv-let (part1 part2)
(split-list-1 (cdr x) del)
(mv (cons (car x) part1) part2)))))
(defthm split-list-1-count
(implies (consp x)
(< (acl2-count (mv-nth 1 (split-list-1 x del)))
(acl2-count x)))
:rule-classes ((:rewrite) (:linear))
:hints(("Goal" :in-theory (enable split-list-1))))
(defthm character-listp-of-split-list-1-0
(implies (character-listp x)
(character-listp (mv-nth 0 (split-list-1 x del))))
:hints(("Goal" :in-theory (enable split-list-1))))
(defthm character-listp-of-split-list-1-1
(implies (character-listp x)
(character-listp (mv-nth 1 (split-list-1 x del))))
:hints(("Goal" :in-theory (enable split-list-1))))
(defund split-list* (x del)
(declare (xargs :guard t))
(if (atom x)
nil
(mv-let (first1 x)
(split-list-1 x del)
(if first1
(cons first1 (split-list* x del))
(split-list* x del)))))
(defund character-list-listp (x)
(declare (xargs :guard t))
(if (consp x)
(and (character-listp (car x))
(character-list-listp (cdr x)))
t))
(defthm character-list-listp-of-split-list*
(implies (character-listp x)
(character-list-listp (split-list* x del)))
:hints(("Goal" :in-theory (enable split-list* character-list-listp))))
(defund coerce-list-to-strings (x)
(declare (xargs :guard (character-list-listp x)
:guard-hints (("Goal" :in-theory (enable character-list-listp)))))
(if (consp x)
(cons (coerce (car x) 'string)
(coerce-list-to-strings (cdr x)))
nil))
(defthm string-listp-of-coerce-list-to-strings
(string-listp (coerce-list-to-strings x))
:hints(("Goal" :in-theory (enable coerce-list-to-strings))))
(defund strsplit (x del)
(declare (xargs :guard (and (stringp x)
(characterp del))))
(coerce-list-to-strings
(split-list* (coerce x 'list) del)))
(defthm string-listp-of-strsplit
(string-listp (strsplit x del))
:hints(("Goal" :in-theory (enable strsplit))))
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