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• Vl-consteval

Vl-consteval-cmpop

Signature

(vl-consteval-cmpop op aval bval) → ans

Arguments

op — Guard (member op '(:vl-binary-ceq :vl-binary-cne :vl-binary-eq :vl-binary-neq :vl-binary-gt :vl-binary-gte :vl-binary-lt :vl-binary-lte)) .

aval — Guard (natp aval).

bval — Guard (natp bval).

Returns

ans — Type (bitp ans).

Definitions and Theorems

Function: vl-consteval-cmpop

(defun vl-consteval-cmpop (op aval bval)
 (declare
   (xargs
        :guard
        (and (member op
                     '(:vl-binary-ceq :vl-binary-cne
                                      :vl-binary-eq :vl-binary-neq
                                      :vl-binary-gt :vl-binary-gte
                                      :vl-binary-lt :vl-binary-lte))
             (natp aval)
             (natp bval))))
 (let ((__function__ 'vl-consteval-cmpop))
   (declare (ignorable __function__))
   (b* ((aval (lnfix aval))
        (bval (lnfix bval)))
     (case op
           ((:vl-binary-ceq :vl-binary-eq)
            (if (equal aval bval) 1 0))
           ((:vl-binary-cne :vl-binary-neq)
            (if (equal aval bval) 0 1))
           (:vl-binary-gt (if (> aval bval) 1 0))
           (:vl-binary-gte (if (>= aval bval) 1 0))
           (:vl-binary-lt (if (< aval bval) 1 0))
           (:vl-binary-lte (if (<= aval bval) 1 0))
           (otherwise (progn$ (impossible) 0))))))

Theorem: bitp-of-vl-consteval-cmpop

(defthm bitp-of-vl-consteval-cmpop
  (b* ((ans (vl-consteval-cmpop op aval bval)))
    (bitp ans))
  :rule-classes :rewrite)

Theorem: vl-consteval-cmpop-of-nfix-aval

(defthm vl-consteval-cmpop-of-nfix-aval
  (equal (vl-consteval-cmpop op (nfix aval) bval)
         (vl-consteval-cmpop op aval bval)))

Theorem: vl-consteval-cmpop-nat-equiv-congruence-on-aval

(defthm vl-consteval-cmpop-nat-equiv-congruence-on-aval
  (implies (acl2::nat-equiv aval aval-equiv)
           (equal (vl-consteval-cmpop op aval bval)
                  (vl-consteval-cmpop op aval-equiv bval)))
  :rule-classes :congruence)

Theorem: vl-consteval-cmpop-of-nfix-bval

(defthm vl-consteval-cmpop-of-nfix-bval
  (equal (vl-consteval-cmpop op aval (nfix bval))
         (vl-consteval-cmpop op aval bval)))

Theorem: vl-consteval-cmpop-nat-equiv-congruence-on-bval

(defthm vl-consteval-cmpop-nat-equiv-congruence-on-bval
  (implies (acl2::nat-equiv bval bval-equiv)
           (equal (vl-consteval-cmpop op aval bval)
                  (vl-consteval-cmpop op aval bval-equiv)))
  :rule-classes :congruence)