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• Linear-memory

Rml128

Signature

(rml128 lin-addr r-x x86) → (mv * * x86)

Definitions and Theorems

Theorem: rb-and-rvm128

(defthm rb-and-rvm128
  (implies (and (app-view x86)
                (x86p x86)
                (canonical-address-p lin-addr)
                (canonical-address-p (+ 15 lin-addr)))
           (equal (rvm128 lin-addr x86)
                  (rb 16 lin-addr r-x x86))))

Theorem: unsigned-byte-p-128-of-merge-16-u8s-linear

(defthm unsigned-byte-p-128-of-merge-16-u8s-linear
 (implies (and (unsigned-byte-p 8 h7)
               (unsigned-byte-p 8 h6)
               (unsigned-byte-p 8 h5)
               (unsigned-byte-p 8 h4)
               (unsigned-byte-p 8 h3)
               (unsigned-byte-p 8 h2)
               (unsigned-byte-p 8 h1)
               (unsigned-byte-p 8 h0)
               (unsigned-byte-p 8 l7)
               (unsigned-byte-p 8 l6)
               (unsigned-byte-p 8 l5)
               (unsigned-byte-p 8 l4)
               (unsigned-byte-p 8 l3)
               (unsigned-byte-p 8 l2)
               (unsigned-byte-p 8 l1)
               (unsigned-byte-p 8 l0))
          (unsigned-byte-p
               128
               (merge-16-u8s h7 h6 h5 h4
                             h3 h2 h1 h0 l7 l6 l5 l4 l3 l2 l1 l0)))
 :rule-classes
 (:rewrite
  (:linear
   :corollary
   (implies
     (and (unsigned-byte-p 8 h7)
          (unsigned-byte-p 8 h6)
          (unsigned-byte-p 8 h5)
          (unsigned-byte-p 8 h4)
          (unsigned-byte-p 8 h3)
          (unsigned-byte-p 8 h2)
          (unsigned-byte-p 8 h1)
          (unsigned-byte-p 8 h0)
          (unsigned-byte-p 8 l7)
          (unsigned-byte-p 8 l6)
          (unsigned-byte-p 8 l5)
          (unsigned-byte-p 8 l4)
          (unsigned-byte-p 8 l3)
          (unsigned-byte-p 8 l2)
          (unsigned-byte-p 8 l1)
          (unsigned-byte-p 8 l0))
     (and (<= 0
              (merge-16-u8s h7 h6 h5
                            h4 h3 h2 h1 h0 l7 l6 l5 l4 l3 l2 l1 l0))
          (< (merge-16-u8s h7 h6 h5
                           h4 h3 h2 h1 h0 l7 l6 l5 l4 l3 l2 l1 l0)
             340282366920938463463374607431768211456)))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Function: rml128

(defun rml128 (lin-addr r-x x86)
 (declare (xargs :stobjs (x86)))
 (declare (type (signed-byte 48) lin-addr)
          (type (member :r :x) r-x))
 (declare (xargs :split-types t
                 :guard (and (canonical-address-p lin-addr)
                             (member-eq r-x '(:r :x)))))
 (let ((__function__ 'rml128))
  (declare (ignorable __function__))
  (if
   (mbt (canonical-address-p lin-addr))
   (let*
       ((15+lin-addr (the (signed-byte 49)
                          (+ 15 (the (signed-byte 48) lin-addr)))))
    (if
     (mbe :logic (canonical-address-p 15+lin-addr)
          :exec (< (the (signed-byte 49) 15+lin-addr)
                   140737488355328))
     (mbe
      :logic (rb 16 lin-addr r-x x86)
      :exec
      (if (app-view x86)
          (rvm128 lin-addr x86)
       (b*
        (((mv flag (the (unsigned-byte 52) p-addr0)
              x86)
          (la-to-pa lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 49) 1+lin-addr)
          (+ 1 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr1)
              x86)
          (la-to-pa 1+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 50) 2+lin-addr)
          (+ 2 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr2)
              x86)
          (la-to-pa 2+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 51) 3+lin-addr)
          (+ 3 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr3)
              x86)
          (la-to-pa 3+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 52) 4+lin-addr)
          (+ 4 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr4)
              x86)
          (la-to-pa 4+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 53) 5+lin-addr)
          (+ 5 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr5)
              x86)
          (la-to-pa 5+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 54) 6+lin-addr)
          (+ 6 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr6)
              x86)
          (la-to-pa 6+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 55) 7+lin-addr)
          (+ 7 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr7)
              x86)
          (la-to-pa 7+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 56) 8+lin-addr)
          (+ 8 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr8)
              x86)
          (la-to-pa 8+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 57) 9+lin-addr)
          (+ 9 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr9)
              x86)
          (la-to-pa 9+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 58) 10+lin-addr)
          (+ 10 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr10)
              x86)
          (la-to-pa 10+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 59) 11+lin-addr)
          (+ 11 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr11)
              x86)
          (la-to-pa 11+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 60) 12+lin-addr)
          (+ 12 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr12)
              x86)
          (la-to-pa 12+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 61) 13+lin-addr)
          (+ 13 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr13)
              x86)
          (la-to-pa 13+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 62) 14+lin-addr)
          (+ 14 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr14)
              x86)
          (la-to-pa 14+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         ((the (signed-byte 63) 15+lin-addr)
          (+ 15 lin-addr))
         ((mv flag (the (unsigned-byte 52) p-addr15)
              x86)
          (la-to-pa 15+lin-addr r-x x86))
         ((when flag) (mv flag 0 x86))
         (byte0 (memi p-addr0 x86))
         (byte1 (memi p-addr1 x86))
         (byte2 (memi p-addr2 x86))
         (byte3 (memi p-addr3 x86))
         (byte4 (memi p-addr4 x86))
         (byte5 (memi p-addr5 x86))
         (byte6 (memi p-addr6 x86))
         (byte7 (memi p-addr7 x86))
         (byte8 (memi p-addr8 x86))
         (byte9 (memi p-addr9 x86))
         (byte10 (memi p-addr10 x86))
         (byte11 (memi p-addr11 x86))
         (byte12 (memi p-addr12 x86))
         (byte13 (memi p-addr13 x86))
         (byte14 (memi p-addr14 x86))
         (byte15 (memi p-addr15 x86))
         (oword
          (the (unsigned-byte 128)
               (merge-16-u8s byte15 byte14 byte13 byte12
                             byte11 byte10 byte9 byte8 byte7 byte6
                             byte5 byte4 byte3 byte2 byte1 byte0))))
        (mv nil oword x86))))
     (mv 'rml128 0 x86)))
   (mv 'rml128 0 x86))))

Theorem: n128p-mv-nth-1-rml128

(defthm n128p-mv-nth-1-rml128
 (unsigned-byte-p 128
                  (mv-nth 1 (rml128 lin-addr r-x x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rml128 lin-addr r-x x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rml128 lin-addr r-x x86)))
                   (< (mv-nth 1 (rml128 lin-addr r-x x86))
                      340282366920938463463374607431768211456))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-rml128

(defthm x86p-rml128
  (implies (force (x86p x86))
           (x86p (mv-nth 2 (rml128 lin-addr r-x x86))))
  :rule-classes (:rewrite :type-prescription))

Theorem: rml128-value-when-error

(defthm rml128-value-when-error
  (implies (mv-nth 0 (rml128 lin-addr r-x x86))
           (equal (mv-nth 1 (rml128 lin-addr r-x x86))
                  0)))

Theorem: rml128-x86-unmodified-in-app-view

(defthm rml128-x86-unmodified-in-app-view
  (implies (app-view x86)
           (equal (mv-nth 2 (rml128 lin-addr r-x x86))
                  x86)))

Theorem: xr-rml128-state-sys-view

(defthm xr-rml128-state-sys-view
  (implies (and (not (equal fld :mem))
                (not (equal fld :fault))
                (not (equal fld :tlb)))
           (equal (xr fld index
                      (mv-nth 2 (rml128 lin-addr r-x x86)))
                  (xr fld index x86))))

Theorem: rml128-xw-app-view

(defthm rml128-xw-app-view
 (implies
  (and (app-view x86)
       (not (equal fld :mem))
       (not (equal fld :app-view)))
  (and
      (equal (mv-nth 0
                     (rml128 lin-addr r-x (xw fld index value x86)))
             (mv-nth 0 (rml128 lin-addr r-x x86)))
      (equal (mv-nth 1
                     (rml128 lin-addr r-x (xw fld index value x86)))
             (mv-nth 1 (rml128 lin-addr r-x x86))))))

Theorem: rml128-xw-sys-view

(defthm rml128-xw-sys-view
 (implies
  (and (not (app-view x86))
       (not (equal fld :fault))
       (not (equal fld :seg-visible))
       (not (equal fld :seg-hidden-base))
       (not (equal fld :seg-hidden-limit))
       (not (equal fld :seg-hidden-attr))
       (not (equal fld :mem))
       (not (equal fld :ctr))
       (not (equal fld :msr))
       (not (equal fld :rflags))
       (not (equal fld :app-view))
       (not (equal fld :marking-view))
       (not (equal fld :tlb))
       (not (equal fld :implicit-supervisor-access))
       (member-equal fld *x86-field-names-as-keywords*))
  (and
      (equal (mv-nth 0
                     (rml128 lin-addr r-x (xw fld index value x86)))
             (mv-nth 0 (rml128 lin-addr r-x x86)))
      (equal (mv-nth 1
                     (rml128 lin-addr r-x (xw fld index value x86)))
             (mv-nth 1 (rml128 lin-addr r-x x86)))
      (equal (mv-nth 2
                     (rml128 lin-addr r-x (xw fld index value x86)))
             (xw fld index value
                 (mv-nth 2 (rml128 lin-addr r-x x86)))))))

Theorem: rml128-xw-sys-view-rflags-not-ac

(defthm rml128-xw-sys-view-rflags-not-ac
  (implies
       (and (not (app-view x86))
            (equal (rflagsbits->ac value)
                   (rflagsbits->ac (rflags x86))))
       (and (equal (mv-nth 0
                           (rml128 lin-addr
                                   r-x (xw :rflags nil value x86)))
                   (mv-nth 0 (rml128 lin-addr r-x x86)))
            (equal (mv-nth 1
                           (rml128 lin-addr
                                   r-x (xw :rflags nil value x86)))
                   (mv-nth 1 (rml128 lin-addr r-x x86)))
            (equal (mv-nth 2
                           (rml128 lin-addr
                                   r-x (xw :rflags nil value x86)))
                   (xw :rflags nil value
                       (mv-nth 2 (rml128 lin-addr r-x x86)))))))