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(in-package "ACL2")
; lofat-pwrite.lisp Mihir Mehta
(include-book "../lofat")
(include-book "../hifat-syscalls")
(local (in-theory (disable nth make-list-ac-removal last
make-list-ac)))
(defund lofat-pwrite (fd buf offset fat32$c fd-table file-table)
(declare (xargs :stobjs fat32$c
:guard (and (lofat-fs-p fat32$c)
(natp fd)
(stringp buf)
(natp offset)
(fd-table-p fd-table)
(file-table-p file-table))
:guard-hints (("Goal" :do-not-induct t
:in-theory (enable len-of-insert-text)))))
(b*
((fd-table-entry (assoc-equal fd fd-table))
((unless (consp fd-table-entry))
(mv fat32$c -1 *ebadf*))
(file-table-entry (assoc-equal (cdr fd-table-entry)
file-table))
((unless (consp file-table-entry))
(mv fat32$c -1 *ebadf*))
(path (file-table-element->fid (cdr file-table-entry)))
((mv root-d-e-list &)
(root-d-e-list fat32$c))
((mv file error-code)
(lofat-find-file fat32$c root-d-e-list path))
((mv oldtext d-e)
(if (and (equal error-code 0)
(lofat-regular-file-p file))
(mv (coerce (lofat-file->contents file) 'list)
(lofat-file->d-e file))
(mv nil (d-e-fix nil))))
((unless (unsigned-byte-p 32 (+ offset (length buf))))
(mv fat32$c -1 *enospc*))
(file
(make-lofat-file
:d-e d-e
:contents (coerce (insert-text oldtext offset buf)
'string)))
((mv fat32$c error-code)
(lofat-place-file fat32$c (pseudo-root-d-e fat32$c) path file)))
(mv fat32$c (if (equal error-code 0) 0 -1)
error-code)))
(defthm integerp-of-lofat-pwrite
(and
(integerp (mv-nth 1 (lofat-pwrite fd buf offset fat32$c fd-table
file-table)))
(natp (mv-nth 2
(lofat-pwrite fd buf
offset fat32$c fd-table file-table))))
:hints (("Goal" :in-theory (enable lofat-pwrite)) )
:rule-classes
((:type-prescription
:corollary
(integerp (mv-nth 1 (lofat-pwrite fd buf offset fat32$c fd-table
file-table))))
(:type-prescription
:corollary
(natp (mv-nth 2
(lofat-pwrite fd buf
offset fat32$c fd-table file-table))))))
(defthm lofat-fs-p-of-lofat-pwrite
(implies
(lofat-fs-p fat32$c)
(lofat-fs-p (mv-nth 0 (lofat-pwrite fd buf offset fat32$c fd-table
file-table))))
:hints (("Goal" :in-theory (enable lofat-pwrite)) ))
(defthm
lofat-pwrite-refinement-lemma-1
(implies
(and (good-root-d-e-p (pseudo-root-d-e fat32$c)
fat32$c)
(equal (mv-nth 1 (lofat-to-hifat fat32$c))
0)
(lofat-file-p file)
(or (lofat-regular-file-p file)
(equal (lofat-file->contents file) nil))
(not (zp (mv-nth 1
(lofat-place-file fat32$c (pseudo-root-d-e fat32$c)
path file)))))
(equal (mv-nth 0
(lofat-place-file fat32$c (pseudo-root-d-e fat32$c)
path file))
fat32$c))
:hints (("goal" :do-not-induct t
:in-theory (e/d (lofat-to-hifat root-d-e-list)
(lofat-place-file-correctness-2))
:use (:instance lofat-place-file-correctness-2
(root-d-e (pseudo-root-d-e fat32$c))
(entry-limit (max-entry-count fat32$c))))))
(defthm
lofat-pwrite-refinement-lemma-20
(implies (and (natp offset)
(< (+ offset (len (explode buf)))
4294967296))
(m1-file-contents-p (implode$inline (insert-text nil offset buf))))
:hints
(("goal" :do-not-induct t
:in-theory
(e/d (lofat-pwrite m1-file-contents-p insert-text)
((:rewrite d-e-cc-of-update-dir-contents-coincident)
(:rewrite d-e-cc-contents-of-lofat-remove-file-coincident)
lofat-place-file))
:expand ((:free (fs) (hifat-find-file fs nil))
(:free (fs file)
(hifat-place-file fs nil file))
(:free (fat32$c file root-d-e)
(lofat-place-file fat32$c root-d-e nil file))))))
(defthm
lofat-pwrite-refinement-lemma-2
(implies (and (<= 0 offset)
(< (+ offset (len (explode buf)))
4294967296))
(lofat-file-contents-p (implode (insert-text nil offset buf))))
:hints (("goal" :do-not-induct t
:in-theory (enable lofat-file-contents-p insert-text))))
(defthm lofat-pwrite-refinement-lemma-22
(implies (and (<= 0 offset)
(< (+ offset (len (explode buf)))
4294967296))
(< (len (insert-text nil offset buf))
4294967296))
:rule-classes :linear
:hints (("goal" :do-not-induct t
:in-theory (enable insert-text))))
(defthm
lofat-pwrite-refinement-lemma-6
(implies
(and (lofat-regular-file-p
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path)))
(stringp buf)
(< (+ (nfix offset) (len (explode buf)))
4294967296))
(m1-file-contents-p
(implode
(insert-text
(explode
(lofat-file->contents
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path))))
offset buf))))
:hints (("goal" :do-not-induct t
:in-theory (enable m1-file-contents-p
len-of-insert-text))))
(defthm
lofat-pwrite-refinement-lemma-7
(implies
(and (lofat-regular-file-p
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path)))
(stringp buf)
(< (+ (nfix offset) (len (explode buf)))
4294967296))
(lofat-file-contents-p
(implode
(insert-text
(explode
(lofat-file->contents
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path))))
offset buf))))
:hints (("goal" :do-not-induct t
:in-theory (enable lofat-file-contents-p
len-of-insert-text))))
(defthm
lofat-pwrite-refinement-lemma-8
(implies
(and (lofat-regular-file-p
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path)))
(stringp buf)
(< (+ (nfix offset) (len (explode buf)))
4294967296))
(<
(len
(insert-text
(explode
(lofat-file->contents
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path))))
offset buf))
4294967296))
:hints
(("goal" :do-not-induct t
:in-theory
(e/d (lofat-pwrite len-of-insert-text)
((:rewrite d-e-cc-of-update-dir-contents-coincident)
(:rewrite d-e-cc-contents-of-lofat-remove-file-coincident)
lofat-place-file
lofat-mkdir-refinement-lemma-15))
:expand ((:free (fs) (hifat-find-file fs nil))
(:free (fs file)
(hifat-place-file fs nil file))
(:free (fat32$c file root-d-e)
(lofat-place-file fat32$c root-d-e nil file)))))
:rule-classes :linear)
(defthm
lofat-pwrite-refinement-lemma-48
(implies
(and
(<= 0 offset)
(lofat-regular-file-p
(mv-nth
0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path)))
(not (stringp buf))
(< (+ offset (len buf)) 4294967296))
(m1-file-contents-p
(implode$inline
(insert-text
(explode$inline
(lofat-file->contents$inline
(mv-nth 0
(lofat-find-file
fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path))))
offset buf))))
:hints
(("goal" :do-not-induct t
:in-theory
(enable m1-file-contents-p insert-text))))
(defthm
lofat-pwrite-refinement-lemma-49
(implies
(and (integerp offset)
(<= 0 offset)
(lofat-regular-file-p
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path)))
(not (stringp buf))
(< (+ offset (len buf)) 4294967296))
(lofat-file-contents-p
(implode
(insert-text
(explode
(lofat-file->contents
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path))))
offset buf))))
:hints (("goal" :do-not-induct t
:in-theory (enable lofat-file-contents-p insert-text))))
(defthm
lofat-pwrite-refinement-lemma-50
(implies
(and (integerp offset)
(<= 0 offset)
(lofat-regular-file-p
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path)))
(not (stringp buf))
(< (+ offset (len buf)) 4294967296))
(<
(len
(insert-text
(explode$inline
(lofat-file->contents$inline
(mv-nth 0
(lofat-find-file fat32$c
(mv-nth 0 (root-d-e-list fat32$c))
path))))
offset buf))
4294967296))
:hints (("goal" :do-not-induct t
:in-theory (enable insert-text)))
:rule-classes :linear)
(defthm
lofat-pwrite-refinement-lemma-26
(equal (lofat-place-file fat32$c root-d-e
path (lofat-file d-e1 contents))
(lofat-place-file fat32$c root-d-e
path (lofat-file d-e2 contents)))
:hints
(("goal"
:in-theory
(e/d
(lofat-place-file lofat-place-file-helper
lofat-regular-file-p
lofat-directory-file-p
lofat-file-p lofat-file->contents
m1-file-hifat-file-alist-fix m1-file)
(m1-file-hifat-file-alist-fix-normalisation
abs-mkdir-correctness-lemma-36
(:rewrite lofat-file-contents-fix-when-lofat-file-contents-p)
(:rewrite fat32-filename-p-correctness-1)
(:rewrite lofat-file-contents-p-when-stringp)
(:linear nth-when-d-e-p)
(:linear len-of-explode-when-m1-file-contents-p-1)
(:rewrite lofat-file-fix-when-lofat-file-p)
(:rewrite lofat-file-contents-p-when-d-e-listp)
(:rewrite nth-of-nats=>chars)
(:rewrite m1-file-contents-p-when-stringp)
(:type-prescription hifat-bounded-file-alist-p)
(:rewrite stringp-when-nonempty-stringp)))))
:rule-classes
((:congruence
:corollary
(implies (true-equiv d-e1 d-e2)
(equal (lofat-place-file fat32$c root-d-e
path (lofat-file d-e1 contents))
(lofat-place-file fat32$c root-d-e
path (lofat-file d-e2 contents)))))))
(defthm
lofat-pwrite-refinement
(implies
(and
;; This needs to go.
(natp offset)
(lofat-fs-p fat32$c)
(equal (mv-nth 1 (lofat-to-hifat fat32$c))
0)
;; Let's discuss this hypothesis.
;;
;; This is something that we actually should
;; be able to derive from the structure of lofat-to-hifat-helper. That is,
;; we should be able to say that if we're able to do lofat-to-hifat-helper
;; with the max-entry-count parameter after the lofat-place-file operation,
;; then obviously we must have the capacity for that number of entries. And
;; if we don't have the capacity for that number of entries, then we must
;; be contradicting the hypothesis about the error code of lofat-place-file
;; being other than EIO. That is, this hypothesis should be implied by
;; that one, because in the case where that one holds, we must have gotten
;; away without an error while creating the new entry, and that means we
;; couldn't have exceeded the max entry count!
;;
;; That kind of reasoning, however, is exactly the kind of thing we gave up
;; on a while earlier. Now is not a great time to start either.
(< (hifat-entry-count (mv-nth 0 (lofat-to-hifat fat32$c)))
(max-entry-count fat32$c))
(not (equal (mv-nth 2 (lofat-pwrite fd buf offset fat32$c fd-table file-table)) *enospc*)))
(and (equal (mv-nth 1
(lofat-to-hifat (mv-nth 0 (lofat-pwrite fd buf offset fat32$c fd-table file-table))))
0)
(hifat-equiv
(mv-nth 0
(lofat-to-hifat (mv-nth 0 (lofat-pwrite fd buf offset fat32$c fd-table file-table))))
(mv-nth 0
(hifat-pwrite fd buf offset (mv-nth 0 (lofat-to-hifat fat32$c)) fd-table file-table)))
(equal (mv-nth 1 (lofat-pwrite fd buf offset fat32$c fd-table file-table))
(mv-nth 1
(hifat-pwrite fd buf offset (mv-nth 0 (lofat-to-hifat fat32$c)) fd-table file-table)))
(equal (mv-nth 2 (lofat-pwrite fd buf offset fat32$c fd-table file-table))
(mv-nth 2
(hifat-pwrite fd buf offset (mv-nth 0 (lofat-to-hifat fat32$c)) fd-table file-table)))))
:hints
(("goal" :do-not-induct t
:in-theory
(e/d (lofat-pwrite)
((:rewrite d-e-cc-of-update-dir-contents-coincident)
(:rewrite d-e-cc-contents-of-lofat-remove-file-coincident)
lofat-place-file
lofat-mkdir-refinement-lemma-15
;; This wasn't fun, but it had to be done to avoid a weird yet
;; predictable loop.
d-e-fix-under-d-e-equiv))
:expand ((:free (fs) (hifat-find-file fs nil))
(:free (fs file)
(hifat-place-file fs nil file))
(:free (fat32$c file root-d-e)
(lofat-place-file fat32$c root-d-e nil file))))))
(defthm
lofat-mkdir-refinement-lemma-8
(implies
(and
(fat32-filename-list-p path)
(not (consp (cdr path)))
(consp path)
(equal
(mv-nth
1
(find-d-e
(make-d-e-list
(mv-nth 0
(d-e-cc-contents fat32$c (pseudo-root-d-e fat32$c))))
(basename path)))
0))
(equal
(mv-nth
1
(find-d-e
(make-d-e-list
(mv-nth 0
(d-e-cc-contents fat32$c (pseudo-root-d-e fat32$c))))
(car path)))
0))
:hints
(("goal"
:do-not-induct t
:in-theory (e/d (lofat-to-hifat root-d-e-list hifat-place-file basename)
nil)
:restrict ((not-intersectp-list-when-subsetp-1
((y (mv-nth 0
(d-e-cc fat32$c
(pseudo-root-d-e fat32$c))))))))))
;; This, again, seems like a useful lemma to keep around.
(defthm lofat-pwrite-refinement-lemma-28
(implies
(and (lofat-fs-p fat32$c)
(fat32-filename-list-p path)
(equal (mv-nth 1 (lofat-to-hifat fat32$c))
0)
(not (equal (mv-nth 1
(find-d-e (mv-nth 0 (root-d-e-list fat32$c))
(car path)))
0))
(equal (mv-nth 1
(lofat-place-file fat32$c (pseudo-root-d-e fat32$c)
path file))
0)
(< (hifat-entry-count (mv-nth 0 (lofat-to-hifat fat32$c)))
(max-entry-count fat32$c))
(lofat-file-p file))
(equal
(mv-nth 1
(hifat-place-file (mv-nth 0 (lofat-to-hifat fat32$c))
path
(m1-file d-e (lofat-file->contents file))))
(mv-nth 1
(lofat-place-file fat32$c (pseudo-root-d-e fat32$c)
path file))))
:hints
(("goal"
:do-not-induct t
:in-theory (e/d (lofat-to-hifat root-d-e-list hifat-place-file)
nil)
:restrict ((not-intersectp-list-when-subsetp-1
((y (mv-nth 0
(d-e-cc fat32$c
(pseudo-root-d-e fat32$c)))))))
:cases ((consp path)))))
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