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Xcr0bits

!xcr0bits->hi16_zmm-state

Update the |X86ISA|::|HI16_ZMM-STATE| field of a xcr0bits bit structure.

Signature
(!xcr0bits->hi16_zmm-state hi16_zmm-state x) → new-x
Arguments: hi16_zmm-state — Guard (bitp hi16_zmm-state).; x — Guard (xcr0bits-p x).
Returns: new-x — Type (xcr0bits-p new-x).

Definitions and Theorems

Function: !xcr0bits->hi16_zmm-state$inline

(defun !xcr0bits->hi16_zmm-state$inline (hi16_zmm-state x)
  (declare (xargs :guard (and (bitp hi16_zmm-state)
                              (xcr0bits-p x))))
  (mbe :logic
       (b* ((hi16_zmm-state (mbe :logic (bfix hi16_zmm-state)
                                 :exec hi16_zmm-state))
            (x (xcr0bits-fix x)))
         (part-install hi16_zmm-state x
                       :width 1
                       :low 7))
       :exec
       (the (unsigned-byte 64)
            (logior (the (unsigned-byte 64)
                         (logand (the (unsigned-byte 64) x)
                                 (the (signed-byte 9) -129)))
                    (the (unsigned-byte 8)
                         (ash (the (unsigned-byte 1) hi16_zmm-state)
                              7))))))

Theorem: xcr0bits-p-of-!xcr0bits->hi16_zmm-state

(defthm xcr0bits-p-of-!xcr0bits->hi16_zmm-state
  (b* ((new-x (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)))
    (xcr0bits-p new-x))
  :rule-classes :rewrite)

Theorem: !xcr0bits->hi16_zmm-state$inline-of-bfix-hi16_zmm-state

(defthm !xcr0bits->hi16_zmm-state$inline-of-bfix-hi16_zmm-state
  (equal (!xcr0bits->hi16_zmm-state$inline (bfix hi16_zmm-state)
                                           x)
         (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)))

Theorem: !xcr0bits->hi16_zmm-state$inline-bit-equiv-congruence-on-hi16_zmm-state

(defthm
 !xcr0bits->hi16_zmm-state$inline-bit-equiv-congruence-on-hi16_zmm-state
 (implies
  (bit-equiv hi16_zmm-state hi16_zmm-state-equiv)
  (equal (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)
         (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state-equiv x)))
 :rule-classes :congruence)

Theorem: !xcr0bits->hi16_zmm-state$inline-of-xcr0bits-fix-x

(defthm !xcr0bits->hi16_zmm-state$inline-of-xcr0bits-fix-x
 (equal
  (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state (xcr0bits-fix x))
  (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)))

Theorem: !xcr0bits->hi16_zmm-state$inline-xcr0bits-equiv-congruence-on-x

(defthm
    !xcr0bits->hi16_zmm-state$inline-xcr0bits-equiv-congruence-on-x
 (implies
  (xcr0bits-equiv x x-equiv)
  (equal (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)
         (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x-equiv)))
 :rule-classes :congruence)

Theorem: !xcr0bits->hi16_zmm-state-is-xcr0bits

(defthm !xcr0bits->hi16_zmm-state-is-xcr0bits
  (equal (!xcr0bits->hi16_zmm-state hi16_zmm-state x)
         (change-xcr0bits x
                          :hi16_zmm-state hi16_zmm-state)))

Theorem: xcr0bits->hi16_zmm-state-of-!xcr0bits->hi16_zmm-state

(defthm xcr0bits->hi16_zmm-state-of-!xcr0bits->hi16_zmm-state
  (b* ((?new-x (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)))
    (equal (xcr0bits->hi16_zmm-state new-x)
           (bfix hi16_zmm-state))))

Theorem: !xcr0bits->hi16_zmm-state-equiv-under-mask

(defthm !xcr0bits->hi16_zmm-state-equiv-under-mask
  (b* ((?new-x (!xcr0bits->hi16_zmm-state$inline hi16_zmm-state x)))
    (xcr0bits-equiv-under-mask new-x x -129)))