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Representation-of-integer-operations

Bitnot-sshort

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

Definitions and Theorems

Function: bitnot-sshort

(defun bitnot-sshort (x)
  (declare (xargs :guard (and (sshortp x))))
  (bitnot-sint (sint-from-sshort x)))

Theorem: sintp-of-bitnot-sshort

(defthm sintp-of-bitnot-sshort
  (sintp (bitnot-sshort x)))

Theorem: bitnot-sshort-of-sshort-fix-x

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

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

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