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• Reasoning-about-memory-reads-and-writes
• Physical-memory

Read-from-physical-memory

Signature

(read-from-physical-memory p-addrs x86) → value

Arguments

p-addrs — Guard (physical-address-listp p-addrs).

Returns

value — Type (integerp value).

Definitions and Theorems

Function: read-from-physical-memory

(defun read-from-physical-memory (p-addrs x86)
  (declare (xargs :stobjs (x86)))
  (declare (xargs :guard (physical-address-listp p-addrs)))
  (declare (xargs :guard (not (app-view x86))))
  (let ((__function__ 'read-from-physical-memory))
    (declare (ignorable __function__))
    (if (endp p-addrs)
        0
      (b* ((addr0 (car p-addrs))
           (byte0 (memi addr0 x86))
           (rest-bytes (read-from-physical-memory (cdr p-addrs)
                                                  x86)))
        (logior byte0 (ash rest-bytes 8))))))

Theorem: integerp-of-read-from-physical-memory

(defthm integerp-of-read-from-physical-memory
  (b* ((value (read-from-physical-memory p-addrs x86)))
    (integerp value))
  :rule-classes :type-prescription)

Theorem: size-of-read-from-physical-memory

(defthm size-of-read-from-physical-memory
 (implies (equal n (ash (len p-addrs) 3))
          (unsigned-byte-p n
                           (read-from-physical-memory p-addrs x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary
      (implies (equal n (ash (len p-addrs) 3))
               (natp (read-from-physical-memory p-addrs x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (implies (equal n (ash (len p-addrs) 3))
            (and (<= 0
                     (read-from-physical-memory p-addrs x86))
                 (< (read-from-physical-memory p-addrs x86)
                    (expt 2 n))))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: read-from-physical-memory-xw-rflags

(defthm read-from-physical-memory-xw-rflags
 (equal (read-from-physical-memory p-addrs (xw :rflags nil val x86))
        (read-from-physical-memory p-addrs x86)))

Theorem: read-from-physical-memory-xw-not-mem

(defthm read-from-physical-memory-xw-not-mem
 (implies
   (not (equal fld :mem))
   (equal (read-from-physical-memory p-addrs (xw fld index val x86))
          (read-from-physical-memory p-addrs x86))))