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• Vl-consteval

Vl-consteval-concat

Signature

(vl-consteval-concat x val-acc width-acc) → ans

Arguments

x — Guard (vl-exprlist-p x).

val-acc — Guard (natp val-acc).

width-acc — Guard (natp width-acc).

Returns

ans — Type (vl-expr-p ans).

Definitions and Theorems

Function: vl-consteval-concat

(defun vl-consteval-concat (x val-acc width-acc)
 (declare (xargs :guard (and (vl-exprlist-p x)
                             (natp val-acc)
                             (natp width-acc))))
 (declare (xargs :guard (and (vl-exprlist-resolved-p x)
                             (consp x)
                             (unsigned-byte-p width-acc val-acc))))
 (let ((__function__ 'vl-consteval-concat))
   (declare (ignorable __function__))
   (b*
     (((vl-constint x1)
       (vl-atom->guts (car x)))
      (val-acc (acl2::logapp x1.origwidth x1.value (lnfix val-acc)))
      (width-acc (+ x1.origwidth (lnfix width-acc)))
      ((when (atom (cdr x)))
       (vl-consteval-ans :value val-acc
                         :width width-acc
                         :type :vl-unsigned)))
     (vl-consteval-concat (cdr x)
                          val-acc width-acc))))

Theorem: vl-expr-p-of-vl-consteval-concat

(defthm vl-expr-p-of-vl-consteval-concat
  (b* ((ans (vl-consteval-concat x val-acc width-acc)))
    (vl-expr-p ans))
  :rule-classes :rewrite)

Theorem: vl-expr-welltyped-p-of-vl-consteval-concat

(defthm vl-expr-welltyped-p-of-vl-consteval-concat
  (b* ((ans (vl-consteval-concat x val-acc width-acc)))
    (vl-expr-welltyped-p ans))
  :rule-classes :rewrite)

Theorem: vl-expr->finalwidth-of-vl-consteval-concat

(defthm vl-expr->finalwidth-of-vl-consteval-concat
  (b* ((ans (vl-consteval-concat x val-acc width-acc)))
    (implies (and (vl-exprlist-welltyped-p x)
                  (vl-exprlist-resolved-p x)
                  (consp x))
             (equal (vl-expr->finalwidth ans)
                    (+ (nfix width-acc)
                       (sum-nats (vl-exprlist->finalwidths x))))))
  :rule-classes :rewrite)

Theorem: vl-expr->finaltype-of-vl-consteval-concat

(defthm vl-expr->finaltype-of-vl-consteval-concat
  (b* ((ans (vl-consteval-concat x val-acc width-acc)))
    (equal (vl-expr->finaltype ans)
           :vl-unsigned))
  :rule-classes :rewrite)

Theorem: vl-expr-resolved-p-of-vl-consteval-concat

(defthm vl-expr-resolved-p-of-vl-consteval-concat
  (b* ((ans (vl-consteval-concat x val-acc width-acc)))
    (vl-expr-resolved-p ans))
  :rule-classes :rewrite)

Theorem: vl-consteval-concat-of-vl-exprlist-fix-x

(defthm vl-consteval-concat-of-vl-exprlist-fix-x
  (equal (vl-consteval-concat (vl-exprlist-fix x)
                              val-acc width-acc)
         (vl-consteval-concat x val-acc width-acc)))

Theorem: vl-consteval-concat-vl-exprlist-equiv-congruence-on-x

(defthm vl-consteval-concat-vl-exprlist-equiv-congruence-on-x
  (implies (vl-exprlist-equiv x x-equiv)
           (equal (vl-consteval-concat x val-acc width-acc)
                  (vl-consteval-concat x-equiv val-acc width-acc)))
  :rule-classes :congruence)

Theorem: vl-consteval-concat-of-nfix-val-acc

(defthm vl-consteval-concat-of-nfix-val-acc
  (equal (vl-consteval-concat x (nfix val-acc)
                              width-acc)
         (vl-consteval-concat x val-acc width-acc)))

Theorem: vl-consteval-concat-nat-equiv-congruence-on-val-acc

(defthm vl-consteval-concat-nat-equiv-congruence-on-val-acc
  (implies (acl2::nat-equiv val-acc val-acc-equiv)
           (equal (vl-consteval-concat x val-acc width-acc)
                  (vl-consteval-concat x val-acc-equiv width-acc)))
  :rule-classes :congruence)

Theorem: vl-consteval-concat-of-nfix-width-acc

(defthm vl-consteval-concat-of-nfix-width-acc
  (equal (vl-consteval-concat x val-acc (nfix width-acc))
         (vl-consteval-concat x val-acc width-acc)))

Theorem: vl-consteval-concat-nat-equiv-congruence-on-width-acc

(defthm vl-consteval-concat-nat-equiv-congruence-on-width-acc
  (implies (acl2::nat-equiv width-acc width-acc-equiv)
           (equal (vl-consteval-concat x val-acc width-acc)
                  (vl-consteval-concat x val-acc width-acc-equiv)))
  :rule-classes :congruence)