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Vl-make-index

Safely create a constant integer atom whose value is n.

Signature

(vl-make-index n) → index

Returns

index — Type (vl-expr-p index).

n is expected to be a natural number, but our guard is only t. We cause a hard error if we are given a non-natural number index, or one which is too large. BOZO consider a stronger guard.

Definitions and Theorems

Function: vl-make-index

(defun vl-make-index (n)
 (declare (xargs :guard t))
 (let ((__function__ 'vl-make-index))
   (declare (ignorable __function__))
   (let*
    ((value (if (natp n)
                n
              (prog2$ (raise "Proposed index is not a natural: ~x0."
                             n)
                      0)))
     (width (+ 1 (integer-length value))))
    (if
     (<= width 31)
     (hons-copy
          (make-vl-atom :guts (make-vl-constint :origwidth 32
                                                :origtype :vl-signed
                                                :wasunsized t
                                                :value value)
                        :finalwidth 32
                        :finaltype :vl-signed))
     (hons-copy
          (make-vl-atom :guts (make-vl-constint :origwidth width
                                                :origtype :vl-signed
                                                :value value)
                        :finalwidth width
                        :finaltype :vl-signed))))))

Theorem: vl-expr-p-of-vl-make-index

(defthm vl-expr-p-of-vl-make-index
  (b* ((index (vl-make-index n)))
    (vl-expr-p index))
  :rule-classes :rewrite)

Theorem: vl-expr-kind-of-vl-make-index

(defthm vl-expr-kind-of-vl-make-index
  (eq (vl-expr-kind (vl-make-index n))
      :atom))

Theorem: vl-expr-resolved-p-of-vl-make-index

(defthm vl-expr-resolved-p-of-vl-make-index
  (vl-expr-resolved-p (vl-make-index n)))

Theorem: vl-resolved->val-of-vl-make-index

(defthm vl-resolved->val-of-vl-make-index
  (equal (vl-resolved->val (vl-make-index n))
         (nfix n)))

Theorem: posp-of-vl-expr->finalwidth-of-vl-make-index

(defthm posp-of-vl-expr->finalwidth-of-vl-make-index
  (posp (vl-expr->finalwidth (vl-make-index n)))
  :rule-classes :type-prescription)

Theorem: vl-make-index-of-nfix-n

(defthm vl-make-index-of-nfix-n
  (equal (vl-make-index (nfix n))
         (vl-make-index n)))

Theorem: vl-make-index-nat-equiv-congruence-on-n

(defthm vl-make-index-nat-equiv-congruence-on-n
  (implies (acl2::nat-equiv n n-equiv)
           (equal (vl-make-index n)
                  (vl-make-index n-equiv)))
  :rule-classes :congruence)