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• Vl-consteval

Vl-consteval-shiftop

Signature

(vl-consteval-shiftop op aval bval awidth atype) → ans

Arguments

op — Guard (member op '(:vl-binary-shr :vl-binary-shl :vl-binary-ashr :vl-binary-ashl :vl-binary-power)) .

aval — Guard (natp aval).

bval — Guard (natp bval).

awidth — Guard (posp awidth).

atype — Guard (vl-exprtype-p atype).

Returns

ans — Type (integerp ans).

Definitions and Theorems

Function: vl-consteval-shiftop

(defun vl-consteval-shiftop (op aval bval awidth atype)
 (declare
  (xargs
    :guard
    (and (member op
                 '(:vl-binary-shr :vl-binary-shl :vl-binary-ashr
                                  :vl-binary-ashl :vl-binary-power))
         (natp aval)
         (natp bval)
         (posp awidth)
         (vl-exprtype-p atype))))
 (let ((__function__ 'vl-consteval-shiftop))
   (declare (ignorable __function__))
   (b* ((aval (lnfix aval))
        (bval (lnfix bval))
        (awidth (lposfix awidth))
        (ainterp (if (eq (vl-exprtype-fix atype) :vl-signed)
                     (acl2::fast-logext awidth aval)
                   aval)))
     (case op (:vl-binary-shr (ash aval (- bval)))
           (:vl-binary-shl (ash aval bval))
           (:vl-binary-ashr (ash ainterp (- bval)))
           (:vl-binary-ashl (ash ainterp bval))
           (:vl-binary-power (expt ainterp bval))
           (otherwise (progn$ (impossible) 0))))))

Theorem: integerp-of-vl-consteval-shiftop

(defthm integerp-of-vl-consteval-shiftop
  (b* ((ans (vl-consteval-shiftop op aval bval awidth atype)))
    (integerp ans))
  :rule-classes :rewrite)

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

(defthm vl-consteval-shiftop-of-nfix-aval
  (equal (vl-consteval-shiftop op (nfix aval)
                               bval awidth atype)
         (vl-consteval-shiftop op aval bval awidth atype)))

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

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

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

(defthm vl-consteval-shiftop-of-nfix-bval
  (equal (vl-consteval-shiftop op aval (nfix bval)
                               awidth atype)
         (vl-consteval-shiftop op aval bval awidth atype)))

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

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

Theorem: vl-consteval-shiftop-of-pos-fix-awidth

(defthm vl-consteval-shiftop-of-pos-fix-awidth
  (equal (vl-consteval-shiftop op aval bval (pos-fix awidth)
                               atype)
         (vl-consteval-shiftop op aval bval awidth atype)))

Theorem: vl-consteval-shiftop-pos-equiv-congruence-on-awidth

(defthm vl-consteval-shiftop-pos-equiv-congruence-on-awidth
 (implies
     (acl2::pos-equiv awidth awidth-equiv)
     (equal (vl-consteval-shiftop op aval bval awidth atype)
            (vl-consteval-shiftop op aval bval awidth-equiv atype)))
 :rule-classes :congruence)

Theorem: vl-consteval-shiftop-of-vl-exprtype-fix-atype

(defthm vl-consteval-shiftop-of-vl-exprtype-fix-atype
  (equal (vl-consteval-shiftop op aval
                               bval awidth (vl-exprtype-fix atype))
         (vl-consteval-shiftop op aval bval awidth atype)))

Theorem: vl-consteval-shiftop-vl-exprtype-equiv-congruence-on-atype

(defthm vl-consteval-shiftop-vl-exprtype-equiv-congruence-on-atype
 (implies
     (vl-exprtype-equiv atype atype-equiv)
     (equal (vl-consteval-shiftop op aval bval awidth atype)
            (vl-consteval-shiftop op aval bval awidth atype-equiv)))
 :rule-classes :congruence)