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Xcr0bits

!xcr0bits->tileconfig-state

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

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

Definitions and Theorems

Function: !xcr0bits->tileconfig-state$inline

(defun !xcr0bits->tileconfig-state$inline (tileconfig-state x)
 (declare (xargs :guard (and (bitp tileconfig-state)
                             (xcr0bits-p x))))
 (mbe
     :logic
     (b* ((tileconfig-state (mbe :logic (bfix tileconfig-state)
                                 :exec tileconfig-state))
          (x (xcr0bits-fix x)))
       (part-install tileconfig-state x
                     :width 1
                     :low 17))
     :exec
     (the (unsigned-byte 64)
          (logior (the (unsigned-byte 64)
                       (logand (the (unsigned-byte 64) x)
                               (the (signed-byte 19) -131073)))
                  (the (unsigned-byte 18)
                       (ash (the (unsigned-byte 1) tileconfig-state)
                            17))))))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(defthm !xcr0bits->tileconfig-state-equiv-under-mask
 (b*
  ((?new-x (!xcr0bits->tileconfig-state$inline tileconfig-state x)))
  (xcr0bits-equiv-under-mask new-x x -131073)))