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• Linear-memory

Rml08

Signature

(rml08 lin-addr r-x x86) → (mv * * x86)

Definitions and Theorems

Function: rml08

(defun rml08 (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__ 'rml08))
    (declare (ignorable __function__))
    (mbe :logic (rb 1 lin-addr r-x x86)
         :exec
         (if (app-view x86)
             (rvm08 lin-addr x86)
           (b* (((mv flag (the (unsigned-byte 52) p-addr)
                     x86)
                 (la-to-pa lin-addr r-x x86))
                ((when flag) (mv flag 0 x86))
                (byte (the (unsigned-byte 8)
                           (memi p-addr x86))))
             (mv nil byte x86))))))

Theorem: n08p-mv-nth-1-rml08

(defthm n08p-mv-nth-1-rml08
 (unsigned-byte-p 8 (mv-nth 1 (rml08 lin-addr r-x x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rml08 lin-addr r-x x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (mv-nth 1 (rml08 lin-addr r-x x86)))
                   (< (mv-nth 1 (rml08 lin-addr r-x x86))
                      256))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-rml08

(defthm x86p-rml08
  (implies (force (x86p x86))
           (x86p (mv-nth 2 (rml08 lin-addr r-x x86)))))

Theorem: rml08-value-when-error

(defthm rml08-value-when-error
  (implies (mv-nth 0 (rml08 addr r-x x86))
           (equal (mv-nth 1 (rml08 addr r-x x86))
                  0)))

Theorem: rml08-does-not-affect-state-in-app-view

(defthm rml08-does-not-affect-state-in-app-view
  (implies (app-view x86)
           (equal (mv-nth 2 (rml08 start-rip r-x x86))
                  x86)))

Theorem: app-view-rml08-no-error

(defthm app-view-rml08-no-error
  (implies (and (app-view x86)
                (canonical-address-p addr)
                (x86p x86))
           (and (equal (mv-nth 0 (rml08 addr r-x x86))
                       nil)
                (equal (mv-nth 1 (rml08 addr :x x86))
                       (memi (loghead 48 addr) x86))
                (equal (mv-nth 2 (rml08 addr r-x x86))
                       x86))))

Theorem: xr-rml08-state-in-app-view

(defthm xr-rml08-state-in-app-view
  (implies (app-view x86)
           (equal (xr fld
                      index (mv-nth 2 (rml08 addr r-x x86)))
                  (xr fld index x86))))

Theorem: xr-rml08-state-in-sys-view

(defthm xr-rml08-state-in-sys-view
  (implies (and (not (app-view x86))
                (not (equal fld :mem))
                (not (equal fld :fault))
                (not (equal fld :tlb)))
           (equal (xr fld
                      index (mv-nth 2 (rml08 addr r-x x86)))
                  (xr fld index x86))))

Theorem: rml08-xw-app-view

(defthm rml08-xw-app-view
 (implies
      (and (app-view x86)
           (not (equal fld :mem))
           (not (equal fld :app-view)))
      (and (equal (mv-nth 0
                          (rml08 addr r-x (xw fld index value x86)))
                  (mv-nth 0 (rml08 addr r-x x86)))
           (equal (mv-nth 1
                          (rml08 addr r-x (xw fld index value x86)))
                  (mv-nth 1 (rml08 addr r-x x86))))))

Theorem: rml08-xw-system-mode

(defthm rml08-xw-system-mode
 (implies
      (and (not (app-view x86))
           (not (equal fld :tlb))
           (not (equal fld :fault))
           (not (equal fld :seg-visible))
           (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 :implicit-supervisor-access)))
      (and (equal (mv-nth 0
                          (rml08 addr r-x (xw fld index value x86)))
                  (mv-nth 0 (rml08 addr r-x x86)))
           (equal (mv-nth 1
                          (rml08 addr r-x (xw fld index value x86)))
                  (mv-nth 1 (rml08 addr r-x x86)))
           (equal (mv-nth 2
                          (rml08 addr r-x (xw fld index value x86)))
                  (xw fld index value
                      (mv-nth 2 (rml08 addr r-x x86)))))))

Theorem: rml08-xw-system-mode-rflags-not-ac

(defthm rml08-xw-system-mode-rflags-not-ac
 (implies
    (and (not (app-view x86))
         (equal (rflagsbits->ac value)
                (rflagsbits->ac (rflags x86))))
    (and (equal (mv-nth 0
                        (rml08 addr r-x (xw :rflags nil value x86)))
                (mv-nth 0 (rml08 addr r-x x86)))
         (equal (mv-nth 1
                        (rml08 addr r-x (xw :rflags nil value x86)))
                (mv-nth 1 (rml08 addr r-x x86)))
         (equal (mv-nth 2
                        (rml08 addr r-x (xw :rflags nil value x86)))
                (xw :rflags nil value
                    (mv-nth 2 (rml08 addr r-x x86)))))))

Theorem: 64-bit-modep-of-rml08

(defthm 64-bit-modep-of-rml08
  (equal (64-bit-modep (mv-nth 2 (rml08 li-addr r-x x86)))
         (64-bit-modep x86)))

Theorem: x86-operation-mode-of-rml08

(defthm x86-operation-mode-of-rml08
  (equal (x86-operation-mode (mv-nth 2 (rml08 li-addr r-x x86)))
         (x86-operation-mode x86)))