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Integer-operations

Int-not

Bitwise negation of signed integer values.

Signature
(int-not operand) → result
Arguments: operand — Guard (intp operand).
Returns: result — Type (intp result).

Definitions and Theorems

Function: int-not

(defun int-not (operand)
  (declare (xargs :guard (intp operand)))
  (b* ((size (int->size operand))
       (x (int->value operand)))
    (make-int :size (int->size operand)
              :value (logext size (lognot x)))))

Theorem: intp-of-int-not

(defthm intp-of-int-not
  (b* ((result (int-not operand)))
    (intp result))
  :rule-classes :rewrite)

Theorem: int-not-of-int-fix-operand

(defthm int-not-of-int-fix-operand
  (equal (int-not (int-fix operand))
         (int-not operand)))

Theorem: int-not-int-equiv-congruence-on-operand

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