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• Linear-memory-in-app-view

Rvm64

Signature

(rvm64 addr x86) → (mv * * x86)

Definitions and Theorems

Function: rvm64$inline

(defun rvm64$inline (addr x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (signed-byte 48) addr))
  (if
   (mbt (canonical-address-p addr))
   (let* ((4+addr (the (signed-byte 49)
                       (+ 4 (the (signed-byte 48) addr))))
          (7+addr (the (signed-byte 49)
                       (+ 7 (the (signed-byte 48) addr)))))
     (if (mbe :logic (canonical-address-p 7+addr)
              :exec (< (the (signed-byte 49) 7+addr)
                       140737488355328))
         (b* (((mv flg0 (the (unsigned-byte 32) dword0)
                   x86)
               (rvm32 addr x86))
              ((mv flg1 (the (unsigned-byte 32) dword1)
                   x86)
               (rvm32 4+addr x86))
              ((the (unsigned-byte 64) qword)
               (the (unsigned-byte 64)
                    (logior (the (unsigned-byte 64) (ash dword1 32))
                            dword0))))
           (mbe :logic
                (if (or flg0 flg1)
                    (mv 'rvm64 0 x86)
                  (mv nil qword x86))
                :exec (mv nil qword x86)))
       (mv 'rvm64 0 x86)))
   (mv 'rvm64 0 x86)))

Theorem: rvm64-no-error

(defthm rvm64-no-error
  (implies (and (canonical-address-p addr)
                (canonical-address-p (+ 7 addr)))
           (equal (mv-nth 0 (rvm64 addr x86))
                  nil)))

Theorem: n64p-mv-nth-1-rvm64

(defthm n64p-mv-nth-1-rvm64
 (unsigned-byte-p 64 (mv-nth 1 (rvm64 addr x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rvm64 addr x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rvm64 addr x86)))
                   (< (mv-nth 1 (rvm64 addr x86))
                      18446744073709551616))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-mv-nth-2-rvm64-unchanged

(defthm x86p-mv-nth-2-rvm64-unchanged
  (equal (mv-nth 2 (rvm64 addr x86)) x86))

Theorem: xr-rvm64

(defthm xr-rvm64
  (equal (xr fld index (mv-nth 2 (rvm64 addr x86)))
         (xr fld index x86)))

Theorem: rvm64-xw-values

(defthm rvm64-xw-values
  (implies
       (not (equal fld :mem))
       (and (equal (mv-nth 0 (rvm64 addr (xw fld index value x86)))
                   (mv-nth 0 (rvm64 addr x86)))
            (equal (mv-nth 1 (rvm64 addr (xw fld index value x86)))
                   (mv-nth 1 (rvm64 addr x86))))))