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• Range-tools

Vl-make-n-bit-range

Create the range [n-1:0].

Signature

(vl-make-n-bit-range n) → maybe-range

Arguments

n — Guard (posp n).

Returns

maybe-range — Type (vl-maybe-range-p maybe-range).

Definitions and Theorems

Function: vl-make-n-bit-range

(defun vl-make-n-bit-range (n)
  (declare (xargs :guard (posp n)))
  (let ((__function__ 'vl-make-n-bit-range))
    (declare (ignorable __function__))
    (let ((n (mbe :logic (pos-fix n) :exec n)))
      (make-vl-range :msb (vl-make-index (- n 1))
                     :lsb (vl-make-index 0)))))

Theorem: vl-maybe-range-p-of-vl-make-n-bit-range

(defthm vl-maybe-range-p-of-vl-make-n-bit-range
  (b* ((maybe-range (vl-make-n-bit-range n)))
    (vl-maybe-range-p maybe-range))
  :rule-classes :rewrite)

Theorem: vl-make-n-bit-range-of-pos-fix-n

(defthm vl-make-n-bit-range-of-pos-fix-n
  (equal (vl-make-n-bit-range (pos-fix n))
         (vl-make-n-bit-range n)))

Theorem: vl-make-n-bit-range-pos-equiv-congruence-on-n

(defthm vl-make-n-bit-range-pos-equiv-congruence-on-n
  (implies (acl2::pos-equiv n n-equiv)
           (equal (vl-make-n-bit-range n)
                  (vl-make-n-bit-range n-equiv)))
  :rule-classes :congruence)