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• Abstract-hids

Vl-hidexpr-p

Recognizes well-formed hierarchical identifier expressions.

Signature

(vl-hidexpr-p x) → bool

Arguments

x — Guard (vl-expr-p x).

Examples:

foo
foo.bar
foo[1].bar
foo[1][2][3].bar.baz

Note that a hidexpr does not allow for subsequent indexing. For instance:

  foo.bar[3]   <--- not a HIDEXPR.

Instead, this is a :vl-index or :vl-bitselect operator with:

     arg1 == foo.bar   (a hid)
     arg2 == 3

Definitions and Theorems

Function: vl-hidexpr-p

(defun vl-hidexpr-p (x)
  (declare (xargs :guard (vl-expr-p x)))
  (let ((__function__ 'vl-hidexpr-p))
    (declare (ignorable __function__))
    (b* (((when (vl-atom-p x)) (vl-hidname-p x))
         ((vl-nonatom x) x))
      (and (vl-op-equiv x.op :vl-hid-dot)
           (vl-hidindex-p (first x.args))
           (vl-hidexpr-p (second x.args))))))

Theorem: vl-hidexpr-p-of-vl-expr-fix-x

(defthm vl-hidexpr-p-of-vl-expr-fix-x
  (equal (vl-hidexpr-p (vl-expr-fix x))
         (vl-hidexpr-p x)))

Theorem: vl-hidexpr-p-vl-expr-equiv-congruence-on-x

(defthm vl-hidexpr-p-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-hidexpr-p x)
                  (vl-hidexpr-p x-equiv)))
  :rule-classes :congruence)

Theorem: vl-hidpiece-p-of-when-vl-hidexpr-p

(defthm vl-hidpiece-p-of-when-vl-hidexpr-p
  (implies (and (vl-hidexpr-p x) (vl-atom-p x))
           (vl-hidname-p x)))

Theorem: vl-nonatom->op-when-vl-hidexpr-p-forward

(defthm vl-nonatom->op-when-vl-hidexpr-p-forward
  (implies (and (vl-hidexpr-p x)
                (not (vl-atom-p x)))
           (equal (vl-nonatom->op x) :vl-hid-dot))
  :rule-classes :forward-chaining)

Theorem: not-vl-hidexpr-p-by-op

(defthm not-vl-hidexpr-p-by-op
  (implies (and (not (eq (vl-nonatom->op x) :vl-hid-dot))
                (force (not (vl-atom-p x))))
           (not (vl-hidexpr-p x))))

Theorem: vl-op-arity-when-vl-hidexpr-p

(defthm vl-op-arity-when-vl-hidexpr-p
  (implies (and (vl-hidexpr-p x)
                (force (not (vl-atom-p x))))
           (equal (vl-op-arity (vl-nonatom->op x))
                  2)))

Theorem: len-of-vl-nonatom->args-when-vl-hidexpr-p

(defthm len-of-vl-nonatom->args-when-vl-hidexpr-p
  (implies (and (vl-hidexpr-p x)
                (force (not (vl-atom-p x)))
                (force (vl-expr-p x)))
           (and (equal (len (vl-nonatom->args x)) 2)
                (consp (vl-nonatom->args x))
                (consp (cdr (vl-nonatom->args x))))))

Theorem: vl-hidindex-p-of-first-of-vl-nonatom->args-when-vl-hidexpr-p

(defthm vl-hidindex-p-of-first-of-vl-nonatom->args-when-vl-hidexpr-p
  (implies (and (vl-hidexpr-p x)
                (force (not (vl-atom-p x))))
           (vl-hidindex-p (first (vl-nonatom->args x)))))

Theorem: vl-hidexpr-p-of-second-of-vl-nonatom->args-when-vl-hidexpr-p

(defthm vl-hidexpr-p-of-second-of-vl-nonatom->args-when-vl-hidexpr-p
  (implies (and (vl-hidexpr-p x)
                (force (not (vl-atom-p x))))
           (vl-hidexpr-p (second (vl-nonatom->args x)))))

Theorem: vl-hidexpr-p-of-vl-atom

(defthm vl-hidexpr-p-of-vl-atom
  (equal (vl-hidexpr-p (make-vl-atom :guts guts
                                     :finalwidth finalwidth
                                     :finaltype finaltype))
         (let ((guts (vl-atomguts-fix guts)))
           (or (vl-hidpiece-p guts)
               (vl-id-p guts)))))

Theorem: vl-hidexpr-p-of-vl-nonatom-dot

(defthm vl-hidexpr-p-of-vl-nonatom-dot
  (implies (and (equal op :vl-hid-dot)
                (force (vl-hidindex-p (first args)))
                (force (vl-hidexpr-p (second args))))
           (vl-hidexpr-p (make-vl-nonatom :op op
                                          :args args
                                          :atts atts
                                          :finalwidth finalwidth
                                          :finaltype finaltype))))

Theorem: vl-hidexpr-p-when-id-atom

(defthm vl-hidexpr-p-when-id-atom
  (implies (and (equal (vl-expr-kind x) :atom)
                (vl-id-p (vl-atom->guts x)))
           (vl-hidexpr-p x)))