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• Linear-memory

Riml16

Signature

(riml16 lin-addr r-x x86) → (mv * * x86)

Definitions and Theorems

Function: riml16

(defun riml16 (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__ 'riml16))
    (declare (ignorable __function__))
    (mv-let (flag val x86)
            (rml16 lin-addr r-x x86)
      (mv flag (n16-to-i16 val) x86))))

Theorem: i16p-mv-nth-1-riml16

(defthm i16p-mv-nth-1-riml16
 (signed-byte-p 16 (mv-nth 1 (riml16 lin-addr r-x x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (integerp (mv-nth 1 (riml16 lin-addr r-x x86)))
      :hints (("Goal" :in-theory '(signed-byte-p integer-range-p))))
  (:linear
    :corollary (and (<= -32768
                        (mv-nth 1 (riml16 lin-addr r-x x86)))
                    (< (mv-nth 1 (riml16 lin-addr r-x x86))
                       32768))
    :hints
    (("Goal"
          :in-theory '(signed-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-riml16

(defthm x86p-riml16
  (implies (force (x86p x86))
           (x86p (mv-nth 2 (riml16 lin-addr r-x x86))))
  :rule-classes (:rewrite :type-prescription))