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      • Tlb
        • Tlb-key
          • !tlb-key->implicit-supervisor-access
          • Tlb-key-fast
          • Tlb-key-p
          • !tlb-key->r-w-x
          • !tlb-key->vpn
          • !tlb-key->smep
          • !tlb-key->smap
          • !tlb-key->cpl
          • !tlb-key->nxe
          • Tlb-key->implicit-supervisor-access
          • !tlb-key->wp
          • !tlb-key->ac
          • Tlb-key->vpn
          • Tlb-key->smep
          • Tlb-key->smap
          • Tlb-key->r-w-x
          • Tlb-key->cpl
          • Tlb-key-fix
          • Tlb-key->wp
          • Tlb-key->nxe
          • Tlb-key->ac
          • Good-tlb-key-p
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        • Tlb-entryp
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  • Math
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• Tlb-key

Tlb-key->smep

Access the |X86ISA|::|SMEP| field of a tlb-key bit structure.

Signature

(tlb-key->smep x) → smep

Arguments

x — Guard (tlb-key-p x).

Returns

smep — Type (bitp smep).

Definitions and Theorems

Function: tlb-key->smep$inline

(defun tlb-key->smep$inline (x)
 (declare (xargs :guard (tlb-key-p x)))
 (mbe
    :logic
    (let ((x (tlb-key-fix x)))
      (part-select x :low 1 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 45)
                            (ash (the (unsigned-byte 46) x) -1))))))

Theorem: bitp-of-tlb-key->smep

(defthm bitp-of-tlb-key->smep
  (b* ((smep (tlb-key->smep$inline x)))
    (bitp smep))
  :rule-classes :rewrite)

Theorem: tlb-key->smep$inline-of-tlb-key-fix-x

(defthm tlb-key->smep$inline-of-tlb-key-fix-x
  (equal (tlb-key->smep$inline (tlb-key-fix x))
         (tlb-key->smep$inline x)))

Theorem: tlb-key->smep$inline-tlb-key-equiv-congruence-on-x

(defthm tlb-key->smep$inline-tlb-key-equiv-congruence-on-x
  (implies (tlb-key-equiv x x-equiv)
           (equal (tlb-key->smep$inline x)
                  (tlb-key->smep$inline x-equiv)))
  :rule-classes :congruence)

Theorem: tlb-key->smep-of-tlb-key

(defthm tlb-key->smep-of-tlb-key
 (equal
      (tlb-key->smep (tlb-key wp smep
                              smap ac nxe implicit-supervisor-access
                              r-w-x cpl vpn))
      (bfix smep)))

Theorem: tlb-key->smep-of-write-with-mask

(defthm tlb-key->smep-of-write-with-mask
 (implies
  (and
    (fty::bitstruct-read-over-write-hyps x tlb-key-equiv-under-mask)
    (tlb-key-equiv-under-mask x y fty::mask)
    (equal (logand (lognot fty::mask) 2) 0))
  (equal (tlb-key->smep x)
         (tlb-key->smep y))))