		Search-engine friendly clone of the ACL2 documentation.

Representation-of-integer-conversions

Ushort-from-sint

Convert from type signed int to type unsigned short.

Signature
(ushort-from-sint x) → result
Arguments: x — Guard (sintp x).
Returns: result — Type (ushortp result).

Definitions and Theorems

Function: ushort-from-sint

(defun ushort-from-sint (x)
  (declare (xargs :guard (sintp x)))
  (let ((__function__ 'ushort-from-sint))
    (declare (ignorable __function__))
    (ushort-from-integer-mod (integer-from-sint x))))

Theorem: ushortp-of-ushort-from-sint

(defthm ushortp-of-ushort-from-sint
  (b* ((result (ushort-from-sint x)))
    (ushortp result))
  :rule-classes :rewrite)

Theorem: ushort-from-sint-of-sint-fix-x

(defthm ushort-from-sint-of-sint-fix-x
  (equal (ushort-from-sint (sint-fix x))
         (ushort-from-sint x)))

Theorem: ushort-from-sint-sint-equiv-congruence-on-x

(defthm ushort-from-sint-sint-equiv-congruence-on-x
  (implies (sint-equiv x x-equiv)
           (equal (ushort-from-sint x)
                  (ushort-from-sint x-equiv)))
  :rule-classes :congruence)