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• Vl-consteval

Vl-consteval-binlogic

Signature

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

Arguments

op — Guard (member op '(:vl-binary-logand :vl-binary-logor :vl-implies :vl-equiv)) .

aval — Guard (natp aval).

bval — Guard (natp bval).

Returns

ans — Type (bitp ans).

Definitions and Theorems

Function: vl-consteval-binlogic

(defun vl-consteval-binlogic (op aval bval)
 (declare
  (xargs
     :guard (and (member op
                         '(:vl-binary-logand :vl-binary-logor
                                             :vl-implies :vl-equiv))
                 (natp aval)
                 (natp bval))))
 (let ((__function__ 'vl-consteval-binlogic))
  (declare (ignorable __function__))
  (b* ((aval (lnfix aval))
       (bval (lnfix bval)))
    (case op
          (:vl-binary-logand (if (and (posp aval) (posp bval)) 1 0))
          (:vl-binary-logor (if (or (posp aval) (posp bval)) 1 0))
          (:vl-implies (if (implies (posp aval) (posp bval))
                           1
                         0))
          (:vl-equiv (if (equal (posp aval) (posp bval))
                         1
                       0))
          (otherwise (progn$ (impossible) 0))))))

Theorem: bitp-of-vl-consteval-binlogic

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

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

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

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

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

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

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

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

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