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Mxcsrbits

Mxcsrbits->zm

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

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

Definitions and Theorems

Function: mxcsrbits->zm$inline

(defun mxcsrbits->zm$inline (x)
 (declare (xargs :guard (mxcsrbits-p x)))
 (mbe
    :logic
    (let ((x (mxcsrbits-fix x)))
      (part-select x :low 9 :width 1))
    :exec (the (unsigned-byte 1)
               (logand (the (unsigned-byte 1) 1)
                       (the (unsigned-byte 23)
                            (ash (the (unsigned-byte 32) x) -9))))))

Theorem: bitp-of-mxcsrbits->zm

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

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

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

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

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

Theorem: mxcsrbits->zm-of-mxcsrbits

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

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

(defthm mxcsrbits->zm-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) 512)
                       0))
           (equal (mxcsrbits->zm x)
                  (mxcsrbits->zm y))))