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Representation-of-integer-operations

Bitnot-slong

Bitwise complement of a value of type signed long [C:6.5.3].

Definitions and Theorems

Function: bitnot-slong

(defun bitnot-slong (x)
  (declare (xargs :guard (and (slongp x))))
  (slong-from-integer (lognot (integer-from-slong x))))

Theorem: slongp-of-bitnot-slong

(defthm slongp-of-bitnot-slong
  (slongp (bitnot-slong x)))

Theorem: bitnot-slong-of-slong-fix-x

(defthm bitnot-slong-of-slong-fix-x
  (equal (bitnot-slong (slong-fix x))
         (bitnot-slong x)))

Theorem: bitnot-slong-slong-equiv-congruence-on-x

(defthm bitnot-slong-slong-equiv-congruence-on-x
  (implies (slong-equiv x x-equiv)
           (equal (bitnot-slong x)
                  (bitnot-slong x-equiv)))
  :rule-classes :congruence)