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• Sv::vl-expr.lisp

Vl-array-assignpat-keyval-resolve

Signature

(vl-array-assignpat-keyval-resolve lsb msb x) 
  → 
(mv err svex-membs)

Arguments

lsb — Guard (integerp lsb).

msb — Guard (integerp msb).

x — Guard (vl-svex-keyvallist-p x).

Returns

err — Type (iff (vl-msg-p err) err).

svex-membs — Most-significant first.
    Type (sv::svexlist-p svex-membs).

Definitions and Theorems

Function: vl-array-assignpat-keyval-resolve

(defun vl-array-assignpat-keyval-resolve (lsb msb x)
 (declare (xargs :guard (and (integerp lsb)
                             (integerp msb)
                             (vl-svex-keyvallist-p x))))
 (let ((__function__ 'vl-array-assignpat-keyval-resolve))
  (declare (ignorable __function__))
  (b*
   ((first (or (vl-svex-keyval-index-lookup msb x)
               (vl-svex-keyval-default-lookup x)))
    (err1
        (and (not first)
             (vmsg "No assignment pattern entry for array index ~x0"
                   (lifix msb))))
    ((when (eql (lifix lsb) (lifix msb)))
     (mv err1 (list (or first (svex-x)))))
    (next (if (< (lifix lsb) (lifix msb))
              (- (lifix msb) 1)
            (+ (lifix msb) 1)))
    ((mv err rest)
     (vl-array-assignpat-keyval-resolve lsb next x)))
   (mv (or err1 err)
       (cons (or first (svex-x)) rest)))))

Theorem: return-type-of-vl-array-assignpat-keyval-resolve.err

(defthm return-type-of-vl-array-assignpat-keyval-resolve.err
  (b* (((mv ?err ?svex-membs)
        (vl-array-assignpat-keyval-resolve lsb msb x)))
    (iff (vl-msg-p err) err))
  :rule-classes :rewrite)

Theorem: svexlist-p-of-vl-array-assignpat-keyval-resolve.svex-membs

(defthm svexlist-p-of-vl-array-assignpat-keyval-resolve.svex-membs
  (b* (((mv ?err ?svex-membs)
        (vl-array-assignpat-keyval-resolve lsb msb x)))
    (sv::svexlist-p svex-membs))
  :rule-classes :rewrite)

Theorem: len-of-vl-array-assignpat-keyval-resolve

(defthm len-of-vl-array-assignpat-keyval-resolve
  (b* (((mv ?err ?svex-membs)
        (vl-array-assignpat-keyval-resolve lsb msb x)))
    (equal (len svex-membs)
           (+ 1 (abs (- (ifix msb) (ifix lsb)))))))

Theorem: len-of-vl-array-assignpat-keyval-resolve-range

(defthm len-of-vl-array-assignpat-keyval-resolve-range
  (implies (vl-range-resolved-p range)
           (b* (((vl-range range)))
             (equal (len (mv-nth 1
                                 (vl-array-assignpat-keyval-resolve
                                      (vl-resolved->val range.lsb)
                                      (vl-resolved->val range.msb)
                                      x)))
                    (vl-range-size range)))))

Theorem: vars-of-vl-array-assignpat-keyval-resolve

(defthm vars-of-vl-array-assignpat-keyval-resolve
  (b* (((mv ?err ?svex-membs)
        (vl-array-assignpat-keyval-resolve lsb msb x)))
    (implies (and ans
                  (not (member v (vl-svex-keyvallist-vars x))))
             (not (member v (sv::svexlist-vars svex-membs))))))

Theorem: vl-array-assignpat-keyval-resolve-of-ifix-lsb

(defthm vl-array-assignpat-keyval-resolve-of-ifix-lsb
  (equal (vl-array-assignpat-keyval-resolve (ifix lsb)
                                            msb x)
         (vl-array-assignpat-keyval-resolve lsb msb x)))

Theorem: vl-array-assignpat-keyval-resolve-int-equiv-congruence-on-lsb

(defthm
      vl-array-assignpat-keyval-resolve-int-equiv-congruence-on-lsb
  (implies
       (acl2::int-equiv lsb lsb-equiv)
       (equal (vl-array-assignpat-keyval-resolve lsb msb x)
              (vl-array-assignpat-keyval-resolve lsb-equiv msb x)))
  :rule-classes :congruence)

Theorem: vl-array-assignpat-keyval-resolve-of-ifix-msb

(defthm vl-array-assignpat-keyval-resolve-of-ifix-msb
  (equal (vl-array-assignpat-keyval-resolve lsb (ifix msb)
                                            x)
         (vl-array-assignpat-keyval-resolve lsb msb x)))

Theorem: vl-array-assignpat-keyval-resolve-int-equiv-congruence-on-msb

(defthm
      vl-array-assignpat-keyval-resolve-int-equiv-congruence-on-msb
  (implies
       (acl2::int-equiv msb msb-equiv)
       (equal (vl-array-assignpat-keyval-resolve lsb msb x)
              (vl-array-assignpat-keyval-resolve lsb msb-equiv x)))
  :rule-classes :congruence)

Theorem: vl-array-assignpat-keyval-resolve-of-vl-svex-keyvallist-fix-x

(defthm
      vl-array-assignpat-keyval-resolve-of-vl-svex-keyvallist-fix-x
  (equal (vl-array-assignpat-keyval-resolve
              lsb msb (vl-svex-keyvallist-fix x))
         (vl-array-assignpat-keyval-resolve lsb msb x)))

Theorem: vl-array-assignpat-keyval-resolve-vl-svex-keyvallist-equiv-congruence-on-x

(defthm
 vl-array-assignpat-keyval-resolve-vl-svex-keyvallist-equiv-congruence-on-x
 (implies
      (vl-svex-keyvallist-equiv x x-equiv)
      (equal (vl-array-assignpat-keyval-resolve lsb msb x)
             (vl-array-assignpat-keyval-resolve lsb msb x-equiv)))
 :rule-classes :congruence)