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Mxcsrbits

Mxcsrbits->om

Access the |X86ISA|::|OM| field of a mxcsrbits bit structure.

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

Definitions and Theorems

Function: mxcsrbits->om$inline

(defun mxcsrbits->om$inline (x)
  (declare (xargs :guard (mxcsrbits-p x)))
  (mbe :logic
       (let ((x (mxcsrbits-fix x)))
         (part-select x :low 10 :width 1))
       :exec (the (unsigned-byte 1)
                  (logand (the (unsigned-byte 1) 1)
                          (the (unsigned-byte 22)
                               (ash (the (unsigned-byte 32) x)
                                    -10))))))

Theorem: bitp-of-mxcsrbits->om

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

Theorem: mxcsrbits->om$inline-of-mxcsrbits-fix-x

(defthm mxcsrbits->om$inline-of-mxcsrbits-fix-x
  (equal (mxcsrbits->om$inline (mxcsrbits-fix x))
         (mxcsrbits->om$inline x)))

Theorem: mxcsrbits->om$inline-mxcsrbits-equiv-congruence-on-x

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

Theorem: mxcsrbits->om-of-mxcsrbits

(defthm mxcsrbits->om-of-mxcsrbits
 (equal
   (mxcsrbits->om (mxcsrbits ie de ze oe ue pe
                             daz im dm zm om um pm rc ftz reserved))
   (bfix om)))

Theorem: mxcsrbits->om-of-write-with-mask

(defthm mxcsrbits->om-of-write-with-mask
  (implies (and (fty::bitstruct-read-over-write-hyps
                     x mxcsrbits-equiv-under-mask)
                (mxcsrbits-equiv-under-mask x y fty::mask)
                (equal (logand (lognot fty::mask) 1024)
                       0))
           (equal (mxcsrbits->om x)
                  (mxcsrbits->om y))))