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• Linear-memory-in-app-view

Rvm16

Signature

(rvm16 addr x86) → (mv * * x86)

Definitions and Theorems

Function: rvm16$inline

(defun rvm16$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)))))
       (if (mbe :logic (canonical-address-p (1+ addr))
                :exec (< (the (signed-byte 49) 1+addr)
                         140737488355328))
           (b* (((the (unsigned-byte 8) byte0)
                 (memi (n48 addr) x86))
                ((the (unsigned-byte 8) byte1)
                 (memi (n48 1+addr) x86)))
             (mv nil
                 (the (unsigned-byte 16)
                      (logior (the (unsigned-byte 16) (ash byte1 8))
                              byte0))
                 x86))
         (mv 'rvm16 0 x86)))
   (mv 'rvm16 0 x86)))

Theorem: rvm16-no-error

(defthm rvm16-no-error
  (implies (and (canonical-address-p addr)
                (canonical-address-p (+ 1 addr)))
           (equal (mv-nth 0 (rvm16 addr x86))
                  nil)))

Theorem: n16p-mv-nth-1-rvm16

(defthm n16p-mv-nth-1-rvm16
 (unsigned-byte-p 16 (mv-nth 1 (rvm16 addr x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rvm16 addr x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rvm16 addr x86)))
                   (< (mv-nth 1 (rvm16 addr x86)) 65536))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-mv-nth-2-rvm16-unchanged

(defthm x86p-mv-nth-2-rvm16-unchanged
  (equal (mv-nth 2 (rvm16 addr x86)) x86))

Theorem: xr-rvm16

(defthm xr-rvm16
  (equal (xr fld index (mv-nth 2 (rvm16 addr x86)))
         (xr fld index x86)))

Theorem: rvm16-xw-values

(defthm rvm16-xw-values
  (implies
       (not (equal fld :mem))
       (and (equal (mv-nth 0 (rvm16 addr (xw fld index value x86)))
                   (mv-nth 0 (rvm16 addr x86)))
            (equal (mv-nth 1 (rvm16 addr (xw fld index value x86)))
                   (mv-nth 1 (rvm16 addr x86))))))