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Integer-operations

Long-not

Bitwise complement ~ on longs [JLS14:4.2.2] [JLS14:15.15.5].

Signature
(long-not operand) → result
Arguments: operand — Guard (long-valuep operand).
Returns: result — Type (long-valuep result).

Definitions and Theorems

Function: long-not

(defun long-not (operand)
  (declare (xargs :guard (long-valuep operand)))
  (b* ((x (long-value->int operand)))
    (long-value (logext 64 (lognot x)))))

Theorem: long-valuep-of-long-not

(defthm long-valuep-of-long-not
  (b* ((result (long-not operand)))
    (long-valuep result))
  :rule-classes :rewrite)

Theorem: long-not-of-long-value-fix-operand

(defthm long-not-of-long-value-fix-operand
  (equal (long-not (long-value-fix operand))
         (long-not operand)))

Theorem: long-not-long-value-equiv-congruence-on-operand

(defthm long-not-long-value-equiv-congruence-on-operand
  (implies (long-value-equiv operand operand-equiv)
           (equal (long-not operand)
                  (long-not operand-equiv)))
  :rule-classes :congruence)