		Search-engine friendly clone of the ACL2 documentation.

Cr3bits

Cr3bits->pdb

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

Signature
(cr3bits->pdb x) → pdb
Arguments: x — Guard (cr3bits-p x).
Returns: pdb — Type (40bits-p pdb).

Definitions and Theorems

Function: cr3bits->pdb$inline

(defun cr3bits->pdb$inline (x)
  (declare (xargs :guard (cr3bits-p x)))
  (mbe :logic
       (let ((x (cr3bits-fix x)))
         (part-select x :low 12 :width 40))
       :exec (the (unsigned-byte 40)
                  (logand (the (unsigned-byte 40) 1099511627775)
                          (the (unsigned-byte 52)
                               (ash (the (unsigned-byte 64) x)
                                    -12))))))

Theorem: 40bits-p-of-cr3bits->pdb

(defthm 40bits-p-of-cr3bits->pdb
  (b* ((pdb (cr3bits->pdb$inline x)))
    (40bits-p pdb))
  :rule-classes :rewrite)

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

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

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

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

Theorem: cr3bits->pdb-of-cr3bits

(defthm cr3bits->pdb-of-cr3bits
  (equal (cr3bits->pdb (cr3bits res1 pwt pcd res2 pdb res3))
         (40bits-fix pdb)))

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

(defthm cr3bits->pdb-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)
                   4503599627366400)
           0))
  (equal (cr3bits->pdb x)
         (cr3bits->pdb y))))