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• Expr-simp

Vl-expr-simp-binary-bitand

Signature

(vl-expr-simp-binary-bitand x args) → new-x

Arguments

x — Expression to rewrite, of the form a & b.
    Guard (vl-expr-p x).

args — Its already-rewritten args.
    Guard (vl-exprlist-p args).

Returns

new-x — Type (vl-expr-p new-x).

Definitions and Theorems

Function: vl-expr-simp-binary-bitand

(defun vl-expr-simp-binary-bitand (x args)
 (declare (xargs :guard (and (vl-expr-p x)
                             (vl-exprlist-p args))))
 (declare (xargs :guard (and (not (vl-atom-p x))
                             (equal (vl-nonatom->op x)
                                    :vl-binary-bitand)
                             (equal (len args) 2))))
 (let ((__function__ 'vl-expr-simp-binary-bitand))
   (declare (ignorable __function__))
   (b*
    (((list arg1 arg2) args)
     ((when (and (vl-expr-resolved-p arg2)
                 (eql (vl-resolved->val arg2) 0)))
      (b*
        ((ans (change-vl-atom arg2
                              :finaltype (vl-expr->finaltype x)
                              :finalwidth (vl-expr->finalwidth x))))
        (vl-cw-ps-seq (vl-cw "AND0a rewrite ~a0 to ~a1~%" x ans))
        ans))
     ((when (and (vl-expr-resolved-p arg1)
                 (eql (vl-resolved->val arg1) 0)))
      (b*
        ((ans (change-vl-atom arg1
                              :finaltype (vl-expr->finaltype x)
                              :finalwidth (vl-expr->finalwidth x))))
        (vl-cw-ps-seq (vl-cw "AND0b rewrite ~a0 to ~a1~%" x ans))
        ans))
     ((when (and (vl-expr-resolved-p arg2)
                 (eql (vl-resolved->val arg2) 1)
                 (equal (vl-expr->finalwidth x) 1)
                 (equal (vl-expr->finaltype x)
                        :vl-unsigned)
                 (equal (vl-expr->finalwidth arg1) 1)
                 (equal (vl-expr->finaltype arg1)
                        :vl-unsigned)))
      (b* ((ans (vl-expr-fix arg1)))
        (vl-cw-ps-seq (vl-cw "AND1a rewrite ~a0 to ~a1~%" x ans))
        ans))
     ((when (and (vl-expr-resolved-p arg1)
                 (eql (vl-resolved->val arg1) 1)
                 (equal (vl-expr->finalwidth x) 1)
                 (equal (vl-expr->finaltype x)
                        :vl-unsigned)
                 (equal (vl-expr->finalwidth arg2) 1)
                 (equal (vl-expr->finaltype arg2)
                        :vl-unsigned)))
      (b* ((ans (vl-expr-fix arg2)))
        (vl-cw-ps-seq (vl-cw "AND1b rewrite ~a0 to ~a1~%" x ans))
        ans)))
    (change-vl-nonatom x :args args))))

Theorem: vl-expr-p-of-vl-expr-simp-binary-bitand

(defthm vl-expr-p-of-vl-expr-simp-binary-bitand
  (b* ((new-x (vl-expr-simp-binary-bitand x args)))
    (vl-expr-p new-x))
  :rule-classes :rewrite)

Theorem: vl-expr-simp-binary-bitand-of-vl-expr-fix-x

(defthm vl-expr-simp-binary-bitand-of-vl-expr-fix-x
  (equal (vl-expr-simp-binary-bitand (vl-expr-fix x)
                                     args)
         (vl-expr-simp-binary-bitand x args)))

Theorem: vl-expr-simp-binary-bitand-vl-expr-equiv-congruence-on-x

(defthm vl-expr-simp-binary-bitand-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-expr-simp-binary-bitand x args)
                  (vl-expr-simp-binary-bitand x-equiv args)))
  :rule-classes :congruence)

Theorem: vl-expr-simp-binary-bitand-of-vl-exprlist-fix-args

(defthm vl-expr-simp-binary-bitand-of-vl-exprlist-fix-args
  (equal (vl-expr-simp-binary-bitand x (vl-exprlist-fix args))
         (vl-expr-simp-binary-bitand x args)))

Theorem: vl-expr-simp-binary-bitand-vl-exprlist-equiv-congruence-on-args

(defthm
    vl-expr-simp-binary-bitand-vl-exprlist-equiv-congruence-on-args
  (implies (vl-exprlist-equiv args args-equiv)
           (equal (vl-expr-simp-binary-bitand x args)
                  (vl-expr-simp-binary-bitand x args-equiv)))
  :rule-classes :congruence)