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Cr3bits

Cr3bits->pwt

Access the |X86ISA|::|PWT| field of a cr3bits bit structure.

Signature
(cr3bits->pwt x) → pwt
Arguments: x — Guard (cr3bits-p x).
Returns: pwt — Type (bitp pwt).

Definitions and Theorems

Function: cr3bits->pwt$inline

(defun cr3bits->pwt$inline (x)
 (declare (xargs :guard (cr3bits-p x)))
 (mbe
    :logic
    (let ((x (cr3bits-fix x)))
      (part-select x :low 3 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 61)
                            (ash (the (unsigned-byte 64) x) -3))))))

Theorem: bitp-of-cr3bits->pwt

(defthm bitp-of-cr3bits->pwt
  (b* ((pwt (cr3bits->pwt$inline x)))
    (bitp pwt))
  :rule-classes :rewrite)

Theorem: cr3bits->pwt$inline-of-cr3bits-fix-x

(defthm cr3bits->pwt$inline-of-cr3bits-fix-x
  (equal (cr3bits->pwt$inline (cr3bits-fix x))
         (cr3bits->pwt$inline x)))

Theorem: cr3bits->pwt$inline-cr3bits-equiv-congruence-on-x

(defthm cr3bits->pwt$inline-cr3bits-equiv-congruence-on-x
  (implies (cr3bits-equiv x x-equiv)
           (equal (cr3bits->pwt$inline x)
                  (cr3bits->pwt$inline x-equiv)))
  :rule-classes :congruence)

Theorem: cr3bits->pwt-of-cr3bits

(defthm cr3bits->pwt-of-cr3bits
  (equal (cr3bits->pwt (cr3bits res1 pwt pcd res2 pdb res3))
         (bfix pwt)))

Theorem: cr3bits->pwt-of-write-with-mask

(defthm cr3bits->pwt-of-write-with-mask
 (implies
  (and
    (fty::bitstruct-read-over-write-hyps x cr3bits-equiv-under-mask)
    (cr3bits-equiv-under-mask x y fty::mask)
    (equal (logand (lognot fty::mask) 8) 0))
  (equal (cr3bits->pwt x)
         (cr3bits->pwt y))))