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Prefixes

Prefixes->lck

Access the |X86ISA|::|LCK| field of a prefixes bit structure.

Signature
(prefixes->lck x) → lck
Arguments: x — Guard (prefixes-p x).
Returns: lck — Type (8bits-p lck).

Definitions and Theorems

Function: prefixes->lck$inline

(defun prefixes->lck$inline (x)
 (declare (xargs :guard (prefixes-p x)))
 (mbe
    :logic
    (let ((x (prefixes-fix x)))
      (part-select x :low 4 :width 8))
    :exec (the (unsigned-byte 8)
               (logand (the (unsigned-byte 8) 255)
                       (the (unsigned-byte 48)
                            (ash (the (unsigned-byte 52) x) -4))))))

Theorem: 8bits-p-of-prefixes->lck

(defthm 8bits-p-of-prefixes->lck
  (b* ((lck (prefixes->lck$inline x)))
    (8bits-p lck))
  :rule-classes :rewrite)

Theorem: prefixes->lck$inline-of-prefixes-fix-x

(defthm prefixes->lck$inline-of-prefixes-fix-x
  (equal (prefixes->lck$inline (prefixes-fix x))
         (prefixes->lck$inline x)))

Theorem: prefixes->lck$inline-prefixes-equiv-congruence-on-x

(defthm prefixes->lck$inline-prefixes-equiv-congruence-on-x
  (implies (prefixes-equiv x x-equiv)
           (equal (prefixes->lck$inline x)
                  (prefixes->lck$inline x-equiv)))
  :rule-classes :congruence)

Theorem: prefixes->lck-of-prefixes

(defthm prefixes->lck-of-prefixes
  (equal (prefixes->lck (prefixes num lck rep seg opr adr nxt))
         (8bits-fix lck)))

Theorem: prefixes->lck-of-write-with-mask

(defthm prefixes->lck-of-write-with-mask
 (implies
  (and
   (fty::bitstruct-read-over-write-hyps x prefixes-equiv-under-mask)
   (prefixes-equiv-under-mask x y fty::mask)
   (equal (logand (lognot fty::mask) 4080)
          0))
  (equal (prefixes->lck x)
         (prefixes->lck y))))