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• Linear-memory-in-app-view

Rvm128

Signature

(rvm128 addr x86) → (mv * * x86)

Definitions and Theorems

Function: rvm128$inline

(defun rvm128$inline (addr x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (signed-byte 48) addr))
  (if (mbt (canonical-address-p addr))
      (let* ((8+addr (the (signed-byte 49)
                          (+ 8 (the (signed-byte 48) addr))))
             (15+addr (the (signed-byte 49)
                           (+ 15 (the (signed-byte 48) addr)))))
        (if (mbe :logic (canonical-address-p 15+addr)
                 :exec (< (the (signed-byte 49) 15+addr)
                          140737488355328))
            (b* (((mv flg0 (the (unsigned-byte 64) qword0)
                      x86)
                  (rvm64 addr x86))
                 ((mv flg1 (the (unsigned-byte 64) qword1)
                      x86)
                  (rvm64 8+addr x86))
                 ((the (unsigned-byte 128) oword)
                  (the (unsigned-byte 128)
                       (logior (the (unsigned-byte 128)
                                    (ash qword1 64))
                               qword0))))
              (mbe :logic
                   (if (or flg0 flg1)
                       (mv 'rvm128 0 x86)
                     (mv nil oword x86))
                   :exec (mv nil oword x86)))
          (mv 'rvm128 0 x86)))
    (mv 'rvm128 0 x86)))

Theorem: rvm128-no-error

(defthm rvm128-no-error
  (implies (and (canonical-address-p addr)
                (canonical-address-p (+ 15 addr)))
           (equal (mv-nth 0 (rvm128 addr x86))
                  nil)))

Theorem: n128p-mv-nth-1-rvm128

(defthm n128p-mv-nth-1-rvm128
 (unsigned-byte-p 128 (mv-nth 1 (rvm128 addr x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rvm128 addr x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rvm128 addr x86)))
                   (< (mv-nth 1 (rvm128 addr x86))
                      340282366920938463463374607431768211456))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-mv-nth-2-rvm128-unchanged

(defthm x86p-mv-nth-2-rvm128-unchanged
  (equal (mv-nth 2 (rvm128 addr x86))
         x86))

Theorem: xr-rvm128

(defthm xr-rvm128
  (equal (xr fld index (mv-nth 2 (rvm128 addr x86)))
         (xr fld index x86)))

Theorem: rvm128-xw-values

(defthm rvm128-xw-values
  (implies
       (not (equal fld :mem))
       (and (equal (mv-nth 0
                           (rvm128 addr (xw fld index value x86)))
                   (mv-nth 0 (rvm128 addr x86)))
            (equal (mv-nth 1
                           (rvm128 addr (xw fld index value x86)))
                   (mv-nth 1 (rvm128 addr x86))))))