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• Linear-memory-in-app-view

Rvm32

Signature

(rvm32 addr x86) → (mv * * x86)

Definitions and Theorems

Function: rvm32$inline

(defun rvm32$inline (addr x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (signed-byte 48) addr))
  (if (mbt (canonical-address-p addr))
      (let* ((1+addr (the (signed-byte 49)
                          (+ 1 (the (signed-byte 48) addr))))
             (2+addr (the (signed-byte 49)
                          (+ 2 (the (signed-byte 48) addr))))
             (3+addr (the (signed-byte 49)
                          (+ 3 (the (signed-byte 48) addr)))))
        (if (mbe :logic (canonical-address-p (+ 3 addr))
                 :exec (< (the (signed-byte 49) 3+addr)
                          140737488355328))
            (b* (((the (unsigned-byte 8) byte0)
                  (memi (n48 addr) x86))
                 ((the (unsigned-byte 8) byte1)
                  (memi (n48 1+addr) x86))
                 ((the (unsigned-byte 8) byte2)
                  (memi (n48 2+addr) x86))
                 ((the (unsigned-byte 8) byte3)
                  (memi (n48 3+addr) x86))
                 ((the (unsigned-byte 16) word1)
                  (logior byte2
                          (the (unsigned-byte 16) (ash byte3 8))))
                 ((the (unsigned-byte 24) high-24)
                  (logior byte1
                          (the (unsigned-byte 24) (ash word1 8))))
                 ((the (unsigned-byte 32) dword)
                  (logior byte0
                          (the (unsigned-byte 32)
                               (ash high-24 8)))))
              (mv nil dword x86))
          (mv 'rvm32 0 x86)))
    (mv 'rvm32 0 x86)))

Theorem: rvm32-no-error

(defthm rvm32-no-error
  (implies (and (canonical-address-p addr)
                (canonical-address-p (+ 3 addr)))
           (equal (mv-nth 0 (rvm32 addr x86))
                  nil)))

Theorem: n32p-mv-nth-1-rvm32

(defthm n32p-mv-nth-1-rvm32
 (unsigned-byte-p 32 (mv-nth 1 (rvm32 addr x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rvm32 addr x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rvm32 addr x86)))
                   (< (mv-nth 1 (rvm32 addr x86))
                      4294967296))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-mv-nth-2-rvm32-unchanged

(defthm x86p-mv-nth-2-rvm32-unchanged
  (equal (mv-nth 2 (rvm32 addr x86)) x86))

Theorem: xr-rvm32

(defthm xr-rvm32
  (equal (xr fld index (mv-nth 2 (rvm32 addr x86)))
         (xr fld index x86)))

Theorem: rvm32-xw-values

(defthm rvm32-xw-values
  (implies
       (not (equal fld :mem))
       (and (equal (mv-nth 0 (rvm32 addr (xw fld index value x86)))
                   (mv-nth 0 (rvm32 addr x86)))
            (equal (mv-nth 1 (rvm32 addr (xw fld index value x86)))
                   (mv-nth 1 (rvm32 addr x86))))))