• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
      • Transforms
      • Lint
      • Mlib
        • Scopestack
        • Filtering-by-name
        • Vl-namefactory
        • Substitution
        • Allexprs
        • Hid-tools
        • Vl-consteval
          • Vl-consteval-$bits
          • Vl-consteval-shiftop
          • Vl-consteval-concat
          • Vl-consteval-ans
          • Vl-consteval-unary-reduxop
          • Vl-consteval-binop
          • Vl-consteval-cmpop
          • Vl-consteval-usertype-bits
          • Vl-consteval-binlogic
          • Vl-clog2
          • Vl-consteval-basictype-bits
          • Vl-consteval-wideunary
          • Vl-consteval-main
          • *vl-fake-elem-for-vl-consteval*
        • Range-tools
        • Lvalexprs
        • Hierarchy
        • Finding-by-name
        • Expr-tools
        • Expr-slicing
        • Stripping-functions
        • Stmt-tools
        • Modnamespace
        • Vl-parse-expr-from-str
        • Welltyped
        • Reordering-by-name
        • Flat-warnings
        • Genblob
        • Expr-building
        • Datatype-tools
        • Syscalls
        • Relocate
        • Expr-cleaning
        • Namemangle
        • Caremask
        • Port-tools
        • Lvalues
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Vl-consteval

Vl-consteval-binop

Signature

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

Arguments

op — Guard (member op '(:vl-binary-plus :vl-binary-minus :vl-binary-times :vl-binary-div :vl-binary-rem :vl-binary-bitand :vl-binary-bitor :vl-binary-xor :vl-binary-xnor)) .

aval — Guard (natp aval).

bval — Guard (natp bval).

Returns

ans — Type (integerp ans).

Definitions and Theorems

Function: vl-consteval-binop

(defun vl-consteval-binop (op aval bval)
 (declare
  (xargs
   :guard
   (and (member op
                '(:vl-binary-plus :vl-binary-minus :vl-binary-times
                                  :vl-binary-div :vl-binary-rem
                                  :vl-binary-bitand :vl-binary-bitor
                                  :vl-binary-xor :vl-binary-xnor))
        (natp aval)
        (natp bval))))
 (declare
   (xargs
        :guard (implies (member op '(:vl-binary-div :vl-binary-rem))
                        (posp bval))))
 (let ((__function__ 'vl-consteval-binop))
   (declare (ignorable __function__))
   (b* ((aval (lnfix aval))
        (bval (lnfix bval)))
     (case op (:vl-binary-plus (+ aval bval))
           (:vl-binary-minus (- aval bval))
           (:vl-binary-times (* aval bval))
           (:vl-binary-div (truncate aval bval))
           (:vl-binary-rem (rem aval bval))
           (:vl-binary-bitand (logand aval bval))
           (:vl-binary-bitor (logior aval bval))
           (:vl-binary-xor (logxor aval bval))
           (:vl-binary-xnor (lognot (logxor aval bval)))
           (otherwise (progn$ (impossible) 0))))))

Theorem: integerp-of-vl-consteval-binop

(defthm integerp-of-vl-consteval-binop
  (b* ((ans (vl-consteval-binop op aval bval)))
    (integerp ans))
  :rule-classes :type-prescription)

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

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

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

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

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

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

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

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