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Svex-argmasks

Svmask-for-blkrev

Implements svex-argmasks for BLKREV.

Signature
(svmask-for-blkrev mask args) → argmasks
Arguments: mask — Care mask for the full expression.
Guard (4vmask-p mask).; args — Arguments to this BLKREV operator.
Guard (svexlist-p args).
Returns: argmasks — The new care masks inferred for the args.
Type (4vmasklist-p argmasks).

Definitions and Theorems

Function: svmask-for-blkrev

(defun svmask-for-blkrev (mask args)
  (declare (xargs :guard (and (4vmask-p mask)
                              (svexlist-p args))))
  (let ((__function__ 'svmask-for-blkrev))
    (declare (ignorable __function__))
    (b* (((svex-nths n b x) args)
         (mask (4vmask-fix mask)))
      (b* (((when (4vmask-empty mask))
            (list 0 0 0))
           (nval (svex-s4xeval n))
           (bval (svex-s4xeval b))
           (mask mask)
           ((when (and (s4vec-2vec-p nval)
                       (s4vec-2vec-p bval)
                       (not (sparseint-< (s4vec->upper nval) 0))
                       (sparseint-< 0 (s4vec->upper bval))))
            (b* ((n (sparseint-val (s4vec->upper nval)))
                 (b (sparseint-val (s4vec->upper bval))))
              (list -1
                    -1 (sparseint-unrev-blocks n b mask)))))
        (list -1 -1 -1)))))

Theorem: 4vmasklist-p-of-svmask-for-blkrev

(defthm 4vmasklist-p-of-svmask-for-blkrev
  (b* ((argmasks (svmask-for-blkrev mask args)))
    (4vmasklist-p argmasks))
  :rule-classes :rewrite)

Theorem: svmask-for-blkrev-of-4vmask-fix-mask

(defthm svmask-for-blkrev-of-4vmask-fix-mask
  (equal (svmask-for-blkrev (4vmask-fix mask)
                            args)
         (svmask-for-blkrev mask args)))

Theorem: svmask-for-blkrev-4vmask-equiv-congruence-on-mask

(defthm svmask-for-blkrev-4vmask-equiv-congruence-on-mask
  (implies (4vmask-equiv mask mask-equiv)
           (equal (svmask-for-blkrev mask args)
                  (svmask-for-blkrev mask-equiv args)))
  :rule-classes :congruence)

Theorem: svmask-for-blkrev-of-svexlist-fix-args

(defthm svmask-for-blkrev-of-svexlist-fix-args
  (equal (svmask-for-blkrev mask (svexlist-fix args))
         (svmask-for-blkrev mask args)))

Theorem: svmask-for-blkrev-svexlist-equiv-congruence-on-args

(defthm svmask-for-blkrev-svexlist-equiv-congruence-on-args
  (implies (svexlist-equiv args args-equiv)
           (equal (svmask-for-blkrev mask args)
                  (svmask-for-blkrev mask args-equiv)))
  :rule-classes :congruence)

Theorem: svmask-for-blkrev-correct

(defthm svmask-for-blkrev-correct
 (implies
    (and (equal (4veclist-mask (svmask-for-blkrev mask args)
                               (svexlist-eval args env))
                (4veclist-mask (svmask-for-blkrev mask args)
                               args1))
         (syntaxp (not (equal args1
                              (cons 'svexlist-eval
                                    (cons args (cons env 'nil)))))))
    (equal (4vec-mask mask (svex-apply 'blkrev args1))
           (4vec-mask mask
                      (svex-apply 'blkrev
                                  (svexlist-eval args env))))))