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Vl-default-n-bit-expr

Build an arbitrary expression of some particular width.

Signature

(vl-default-n-bit-expr n) → expr

Arguments

n — Guard (posp n).

Returns

expr — Type (vl-expr-p expr).

Definitions and Theorems

Function: vl-default-n-bit-expr

(defun vl-default-n-bit-expr (n)
  (declare (xargs :guard (posp n)))
  (let ((__function__ 'vl-default-n-bit-expr))
    (declare (ignorable __function__))
    (let ((n (mbe :logic (pos-fix n) :exec n)))
      (make-vl-atom :guts (make-vl-constint :value 0
                                            :origwidth n
                                            :origtype :vl-unsigned)
                    :finalwidth n
                    :finaltype :vl-unsigned))))

Theorem: vl-expr-p-of-vl-default-n-bit-expr

(defthm vl-expr-p-of-vl-default-n-bit-expr
  (b* ((expr (vl-default-n-bit-expr n)))
    (vl-expr-p expr))
  :rule-classes :rewrite)

Theorem: vl-expr->finalwidth-of-vl-default-n-bit-expr

(defthm vl-expr->finalwidth-of-vl-default-n-bit-expr
  (equal (vl-expr->finalwidth (vl-default-n-bit-expr n))
         (pos-fix n)))

Theorem: vl-expr-widthsfixed-p-of-vl-default-n-bit-expr

(defthm vl-expr-widthsfixed-p-of-vl-default-n-bit-expr
  (vl-expr-widthsfixed-p (vl-default-n-bit-expr n)))

Theorem: vl-default-n-bit-expr-of-pos-fix-n

(defthm vl-default-n-bit-expr-of-pos-fix-n
  (equal (vl-default-n-bit-expr (pos-fix n))
         (vl-default-n-bit-expr n)))

Theorem: vl-default-n-bit-expr-pos-equiv-congruence-on-n

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