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• Physical-memory

Rm-low-64

Signature

(rm-low-64 addr x86) → *

Definitions and Theorems

Function: rm-low-64

(defun rm-low-64 (addr x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (unsigned-byte 52) addr))
  (declare (xargs :guard (and (not (app-view x86))
                              (integerp addr)
                              (<= 0 addr)
                              (< (+ 7 addr) *mem-size-in-bytes*))))
  (let ((__function__ 'rm-low-64))
    (declare (ignorable __function__))
    (if (mbt (not (app-view x86)))
        (b* ((addr (mbe :logic (ifix addr) :exec addr))
             ((the (unsigned-byte 32) dword0)
              (rm-low-32 addr x86))
             ((the (unsigned-byte 32) dword1)
              (rm-low-32 (+ 4 addr) x86))
             ((the (unsigned-byte 64) qword)
              (logior (the (unsigned-byte 64) (ash dword1 32))
                      dword0)))
          qword)
      0)))

Theorem: rm-low-64-in-app-view

(defthm rm-low-64-in-app-view
  (implies (app-view x86)
           (equal (rm-low-64 p-addr x86) 0)))

Theorem: n64p-rm-low-64

(defthm n64p-rm-low-64
 (unsigned-byte-p 64 (rm-low-64 addr x86))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (rm-low-64 addr x86))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary (and (<= 0 (rm-low-64 addr x86))
                   (< (rm-low-64 addr x86)
                      18446744073709551616))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: rm-low-64-xw

(defthm rm-low-64-xw
  (implies (and (not (equal fld :mem))
                (not (equal fld :app-view)))
           (equal (rm-low-64 addr (xw fld index val x86))
                  (rm-low-64 addr x86))))