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Syntax-abstraction

Abs-signed-literal

Abstract a signed-literal to a signed literal.

Signature
(abs-signed-literal tree) → lit
Arguments: tree — Guard (abnf::treep tree).
Returns: lit — Type (literal-resultp lit).

Definitions and Theorems

Function: abs-signed-literal

(defun abs-signed-literal (tree)
 (declare (xargs :guard (abnf::treep tree)))
 (let ((__function__ 'abs-signed-literal))
  (declare (ignorable __function__))
  (b* (((okf (abnf::tree-list-tuple2 sub))
        (abnf::check-tree-nonleaf-2 tree "signed-literal"))
       ((okf num-tree)
        (abnf::check-tree-list-1 sub.1st))
       ((okf nat) (abs-numeral num-tree))
       ((okf type-tree)
        (abnf::check-tree-list-1 sub.2nd))
       ((okf type-tree)
        (abnf::check-tree-nonleaf-1-1 type-tree nil))
       ((okf nats)
        (abnf::check-tree-leafterm type-tree)))
   (cond
    ((abnf::nats-match-sensitive-chars-p nats (acl2::explode "i8"))
     (make-literal-signed :val nat
                          :size (bitsize-8)))
    ((abnf::nats-match-sensitive-chars-p nats (acl2::explode "i16"))
     (make-literal-signed :val nat
                          :size (bitsize-16)))
    ((abnf::nats-match-sensitive-chars-p nats (acl2::explode "i32"))
     (make-literal-signed :val nat
                          :size (bitsize-32)))
    ((abnf::nats-match-sensitive-chars-p nats (acl2::explode "i64"))
     (make-literal-signed :val nat
                          :size (bitsize-64)))
    ((abnf::nats-match-sensitive-chars-p
          nats (acl2::explode "i128"))
     (make-literal-signed :val nat
                          :size (bitsize-128)))
    (t
     (reserrf
        (list :found-subtree (abnf::tree-info-for-error tree))))))))

Theorem: literal-resultp-of-abs-signed-literal

(defthm literal-resultp-of-abs-signed-literal
  (b* ((lit (abs-signed-literal tree)))
    (literal-resultp lit))
  :rule-classes :rewrite)

Theorem: abs-signed-literal-of-tree-fix-tree

(defthm abs-signed-literal-of-tree-fix-tree
  (equal (abs-signed-literal (abnf::tree-fix tree))
         (abs-signed-literal tree)))

Theorem: abs-signed-literal-tree-equiv-congruence-on-tree

(defthm abs-signed-literal-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-signed-literal tree)
                  (abs-signed-literal tree-equiv)))
  :rule-classes :congruence)