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Vl-partselect-width

Signature

(vl-partselect-width x) → (mv err width)

Arguments

x — Guard (vl-partselect-p x).

Returns

err — Type (iff (vl-msg-p err) err).

width — Type (implies (not err) (posp width)).

Definitions and Theorems

Function: vl-partselect-width

(defun vl-partselect-width (x)
 (declare (xargs :guard (vl-partselect-p x)))
 (declare (xargs :guard (not (vl-partselect-case x :none))))
 (let ((__function__ 'vl-partselect-width))
  (declare (ignorable __function__))
  (b* ((x (vl-partselect-fix x)))
   (vl-partselect-case
    x :range
    (b* (((unless (and (vl-expr-resolved-p x.msb)
                       (vl-expr-resolved-p x.lsb)))
          (mv (vmsg "Unresolved partselect: ~a0" x)
              nil))
         (msb (vl-resolved->val x.msb))
         (lsb (vl-resolved->val x.lsb)))
      (mv nil (+ 1 (abs (- msb lsb)))))
    :plusminus
    (b* (((unless (vl-expr-resolved-p x.width))
          (mv (vmsg "Unresolved partselect width: ~a0" x)
              nil))
         (width (vl-resolved->val x.width))
         ((when (<= width 0))
          (mv (vmsg "Non-positive-width partselect not allowed: ~a0"
                    x)
              nil)))
      (mv nil width))
    :otherwise (mv (vmsg "Impossible")
                   (impossible))))))

Theorem: return-type-of-vl-partselect-width.err

(defthm return-type-of-vl-partselect-width.err
  (b* (((mv ?err ?width)
        (vl-partselect-width x)))
    (iff (vl-msg-p err) err))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-partselect-width.width

(defthm return-type-of-vl-partselect-width.width
  (b* (((mv ?err ?width)
        (vl-partselect-width x)))
    (implies (not err) (posp width)))
  :rule-classes :type-prescription)

Theorem: vl-partselect-width-of-vl-partselect-fix-x

(defthm vl-partselect-width-of-vl-partselect-fix-x
  (equal (vl-partselect-width (vl-partselect-fix x))
         (vl-partselect-width x)))

Theorem: vl-partselect-width-vl-partselect-equiv-congruence-on-x

(defthm vl-partselect-width-vl-partselect-equiv-congruence-on-x
  (implies (vl-partselect-equiv x x-equiv)
           (equal (vl-partselect-width x)
                  (vl-partselect-width x-equiv)))
  :rule-classes :congruence)