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• Linear-memory-in-app-view

Wvm16

Signature

(wvm16 addr val x86) → (mv * x86)

Definitions and Theorems

Function: wvm16$inline

(defun wvm16$inline (addr val x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (signed-byte 48) addr)
           (type (unsigned-byte 16) val))
  (if (mbt (canonical-address-p addr))
      (let* ((1+addr (the (signed-byte 49)
                          (1+ (the (signed-byte 48) addr)))))
        (if (mbe :logic (canonical-address-p 1+addr)
                 :exec (< (the (signed-byte 49) 1+addr)
                          140737488355328))
            (b* (((the (unsigned-byte 8) byte0)
                  (mbe :logic (n08 val)
                       :exec (logand 255 val)))
                 ((the (unsigned-byte 8) byte1)
                  (mbe :logic (part-select val :low 8 :width 8)
                       :exec (logand 255 (ash val -8))))
                 (x86 (!memi (n48 addr) byte0 x86))
                 (x86 (!memi (n48 1+addr) byte1 x86)))
              (mv nil x86))
          (mv 'wvm16 x86)))
    (mv 'wvm16 x86)))

Theorem: wvm16-no-error

(defthm wvm16-no-error
  (implies (and (canonical-address-p addr)
                (canonical-address-p (+ 3 addr)))
           (equal (mv-nth 0 (wvm16 addr val x86))
                  nil)))

Theorem: x86p-mv-nth-1-wvm16

(defthm x86p-mv-nth-1-wvm16
  (implies (x86p x86)
           (x86p (mv-nth 1 (wvm16 addr val x86))))
  :rule-classes (:rewrite :type-prescription))

Theorem: xr-wmv16-app-view

(defthm xr-wmv16-app-view
  (implies (not (equal fld :mem))
           (equal (xr fld
                      index (mv-nth 1 (wvm16 addr val x86)))
                  (xr fld index x86))))

Theorem: wvm16-xw-app-view

(defthm wvm16-xw-app-view
 (implies
      (not (equal fld :mem))
      (and (equal (mv-nth 0
                          (wvm16 addr val (xw fld index value x86)))
                  (mv-nth 0 (wvm16 addr val x86)))
           (equal (mv-nth 1
                          (wvm16 addr val (xw fld index value x86)))
                  (xw fld index value
                      (mv-nth 1 (wvm16 addr val x86)))))))