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• Linear-memory

Rml64

Signature

(rml64 lin-addr r-x x86) → (mv * * x86)

Definitions and Theorems

Theorem: rb-and-rvm64

(defthm rb-and-rvm64
  (implies (and (app-view x86)
                (x86p x86)
                (canonical-address-p lin-addr)
                (canonical-address-p (+ 7 lin-addr)))
           (equal (rvm64 lin-addr x86)
                  (rb 8 lin-addr r-x x86))))

Function: rml64

(defun rml64 (lin-addr r-x x86)
 (declare (xargs :stobjs (x86)))
 (declare (type (signed-byte 48) lin-addr)
          (type (member :r :x) r-x))
 (declare (xargs :guard (canonical-address-p lin-addr)))
 (let ((__function__ 'rml64))
  (declare (ignorable __function__))
  (if
   (mbt (canonical-address-p lin-addr))
   (let* ((7+lin-addr (the (signed-byte 49)
                           (+ 7 (the (signed-byte 48) lin-addr)))))
    (if
     (mbe :logic (canonical-address-p 7+lin-addr)
          :exec (< (the (signed-byte 49) 7+lin-addr)
                   140737488355328))
     (mbe
      :logic (rb 8 lin-addr r-x x86)
      :exec
      (if (app-view x86)
          (rvm64 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))
          (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))
          (word0 (the (unsigned-byte 16)
                      (logior (the (unsigned-byte 16) (ash byte1 8))
                              byte0)))
          (word1 (the (unsigned-byte 16)
                      (logior (the (unsigned-byte 16) (ash byte3 8))
                              byte2)))
          (dword0
               (the (unsigned-byte 32)
                    (logior (the (unsigned-byte 32) (ash word1 16))
                            word0)))
          (word2 (the (unsigned-byte 16)
                      (logior (the (unsigned-byte 16) (ash byte5 8))
                              byte4)))
          (word3 (the (unsigned-byte 16)
                      (logior (the (unsigned-byte 16) (ash byte7 8))
                              byte6)))
          (dword1
               (the (unsigned-byte 32)
                    (logior (the (unsigned-byte 32) (ash word3 16))
                            word2)))
          (qword
               (the (unsigned-byte 64)
                    (logior (the (unsigned-byte 64) (ash dword1 32))
                            dword0))))
         (mv nil qword x86))))
     (mv 'rml64 0 x86)))
   (mv 'rml64 0 x86))))

Theorem: n64p-mv-nth-1-rml64

(defthm n64p-mv-nth-1-rml64
 (unsigned-byte-p 64 (mv-nth 1 (rml64 lin-addr r-x x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rml64 lin-addr r-x x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rml64 lin-addr r-x x86)))
                   (< (mv-nth 1 (rml64 lin-addr r-x x86))
                      18446744073709551616))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-rml64

(defthm x86p-rml64
  (implies (force (x86p x86))
           (x86p (mv-nth 2 (rml64 lin-addr r-x x86))))
  :rule-classes (:rewrite :type-prescription))

Theorem: rml64-value-when-error

(defthm rml64-value-when-error
  (implies (mv-nth 0 (rml64 lin-addr r-x x86))
           (equal (mv-nth 1 (rml64 lin-addr r-x x86))
                  0)))

Theorem: rml64-x86-unmodified-in-app-view

(defthm rml64-x86-unmodified-in-app-view
  (implies (app-view x86)
           (equal (mv-nth 2 (rml64 lin-addr r-x x86))
                  x86)))

Theorem: xr-rml64-state-sys-view

(defthm xr-rml64-state-sys-view
  (implies (and (not (app-view x86))
                (not (equal fld :mem))
                (not (equal fld :fault))
                (not (equal fld :tlb))
                (member-equal fld *x86-field-names-as-keywords*))
           (equal (xr fld index
                      (mv-nth 2 (rml64 lin-addr r-x x86)))
                  (xr fld index x86))))

Theorem: rml64-xw-app-view

(defthm rml64-xw-app-view
 (implies
  (and (app-view x86)
       (not (equal fld :mem))
       (not (equal fld :app-view)))
  (and (equal (mv-nth 0
                      (rml64 lin-addr r-x (xw fld index value x86)))
              (mv-nth 0 (rml64 lin-addr r-x x86)))
       (equal (mv-nth 1
                      (rml64 lin-addr r-x (xw fld index value x86)))
              (mv-nth 1 (rml64 lin-addr r-x x86))))))

Theorem: rml64-xw-sys-view

(defthm rml64-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
                      (rml64 lin-addr r-x (xw fld index value x86)))
              (mv-nth 0 (rml64 lin-addr r-x x86)))
       (equal (mv-nth 1
                      (rml64 lin-addr r-x (xw fld index value x86)))
              (mv-nth 1 (rml64 lin-addr r-x x86)))
       (equal (mv-nth 2
                      (rml64 lin-addr r-x (xw fld index value x86)))
              (xw fld index value
                  (mv-nth 2 (rml64 lin-addr r-x x86)))))))

Theorem: rml64-xw-sys-view-rflags-not-ac

(defthm rml64-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
                           (rml64 lin-addr
                                  r-x (xw :rflags nil value x86)))
                   (mv-nth 0 (rml64 lin-addr r-x x86)))
            (equal (mv-nth 1
                           (rml64 lin-addr
                                  r-x (xw :rflags nil value x86)))
                   (mv-nth 1 (rml64 lin-addr r-x x86)))
            (equal (mv-nth 2
                           (rml64 lin-addr
                                  r-x (xw :rflags nil value x86)))
                   (xw :rflags nil value
                       (mv-nth 2 (rml64 lin-addr r-x x86)))))))