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Cutinfo

!cutinfo->size

Update the |AIGNET|::|SIZE| field of a cutinfo bit structure.

Signature
(!cutinfo->size size x) → new-x
Arguments: size — Guard (cutsize-p size).; x — Guard (cutinfo-p x).
Returns: new-x — Type (cutinfo-p new-x).

Definitions and Theorems

Function: !cutinfo->size

(defun !cutinfo->size (size x)
 (declare (xargs :guard (and (cutsize-p size) (cutinfo-p x))))
 (mbe
    :logic
    (b* ((size (mbe :logic (cutsize-fix size)
                    :exec size))
         (x (cutinfo-fix x)))
      (part-install size x :width 3 :low 16))
    :exec (the (unsigned-byte 32)
               (logior (the (unsigned-byte 32)
                            (logand (the (unsigned-byte 32) x)
                                    (the (signed-byte 20) -458753)))
                       (the (unsigned-byte 19)
                            (ash (the (unsigned-byte 3) size)
                                 16))))))

Theorem: cutinfo-p-of-!cutinfo->size

(defthm cutinfo-p-of-!cutinfo->size
  (b* ((new-x (!cutinfo->size size x)))
    (cutinfo-p new-x))
  :rule-classes :rewrite)

Theorem: !cutinfo->size-of-cutsize-fix-size

(defthm !cutinfo->size-of-cutsize-fix-size
  (equal (!cutinfo->size (cutsize-fix size) x)
         (!cutinfo->size size x)))

Theorem: !cutinfo->size-cutsize-equiv-congruence-on-size

(defthm !cutinfo->size-cutsize-equiv-congruence-on-size
  (implies (cutsize-equiv size size-equiv)
           (equal (!cutinfo->size size x)
                  (!cutinfo->size size-equiv x)))
  :rule-classes :congruence)

Theorem: !cutinfo->size-of-cutinfo-fix-x

(defthm !cutinfo->size-of-cutinfo-fix-x
  (equal (!cutinfo->size size (cutinfo-fix x))
         (!cutinfo->size size x)))

Theorem: !cutinfo->size-cutinfo-equiv-congruence-on-x

(defthm !cutinfo->size-cutinfo-equiv-congruence-on-x
  (implies (cutinfo-equiv x x-equiv)
           (equal (!cutinfo->size size x)
                  (!cutinfo->size size x-equiv)))
  :rule-classes :congruence)

Theorem: !cutinfo->size-is-cutinfo

(defthm !cutinfo->size-is-cutinfo
  (equal (!cutinfo->size size x)
         (change-cutinfo x :size size)))

Theorem: cutinfo->size-of-!cutinfo->size

(defthm cutinfo->size-of-!cutinfo->size
  (b* ((?new-x (!cutinfo->size size x)))
    (equal (cutinfo->size new-x)
           (cutsize-fix size))))

Theorem: !cutinfo->size-equiv-under-mask

(defthm !cutinfo->size-equiv-under-mask
  (b* ((?new-x (!cutinfo->size size x)))
    (cutinfo-equiv-under-mask new-x x -458753)))