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S4vecs

S4vec-1mask

Signature
(s4vec-1mask x) → 1mask
Arguments: x — Guard (s4vec-p x).
Returns: 1mask — Type (sparseint-p 1mask).

Definitions and Theorems

Function: s4vec-1mask

(defun s4vec-1mask (x)
  (declare (xargs :guard (s4vec-p x)))
  (let ((__function__ 's4vec-1mask))
    (declare (ignorable __function__))
    (b* (((s4vec x)))
      (sparseint-bitand x.upper x.lower))))

Theorem: sparseint-p-of-s4vec-1mask

(defthm sparseint-p-of-s4vec-1mask
  (b* ((1mask (s4vec-1mask x)))
    (sparseint-p 1mask))
  :rule-classes :rewrite)

Theorem: s4vec-1mask-correct

(defthm s4vec-1mask-correct
  (b* ((?1mask (s4vec-1mask x)))
    (equal (sparseint-val 1mask)
           (4vec-1mask (s4vec->4vec x)))))

Theorem: s4vec-1mask-of-s4vec-fix-x

(defthm s4vec-1mask-of-s4vec-fix-x
  (equal (s4vec-1mask (s4vec-fix x))
         (s4vec-1mask x)))

Theorem: s4vec-1mask-s4vec-equiv-congruence-on-x

(defthm s4vec-1mask-s4vec-equiv-congruence-on-x
  (implies (s4vec-equiv x x-equiv)
           (equal (s4vec-1mask x)
                  (s4vec-1mask x-equiv)))
  :rule-classes :congruence)