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    • Expr-cleaning

    Vl-maybe-merge-selects

    Merge together concatenations like {foo[3], foo[2], foo[1]} into prettier expressions like foo[3:1].

    Signature
    (vl-maybe-merge-selects x ss) → new-x
    Arguments
    x — Guard (vl-exprlist-p x).
    ss — Guard (vl-scopestack-p ss).
    Returns
    new-x — Type (vl-exprlist-p new-x).

    Here, x is a list of expressions which we assume is found within either a concatenation or a multiple concatenation. The mod and ialist are the module and its vl-make-moditem-alist so we can look up wires in x to see their ranges.

    Note: to make this function more effective, x can be preprocessed with vl-elim-nested-concats.

    We walk over x, looking for sequences of selects that can be merged together. For instance, foo[3:1], foo[0] could generally be merged into foo[3:0].

    Definitions and Theorems

    Function: vl-maybe-merge-selects

    (defun vl-maybe-merge-selects (x ss)
     (declare (xargs :guard (and (vl-exprlist-p x)
                                 (vl-scopestack-p ss))))
     (let ((__function__ 'vl-maybe-merge-selects))
      (declare (ignorable __function__))
      (b*
       (((when (atom x)) nil)
        (expr1 (vl-expr-fix (car x)))
        ((when (vl-fast-atom-p expr1))
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        (expr1-op (vl-nonatom->op expr1))
        ((unless (or (eq expr1-op :vl-bitselect)
                     (eq expr1-op :vl-partselect-colon)))
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        (expr1-args (vl-nonatom->args expr1))
        (expr1-from (first expr1-args))
        (expr1-high (second expr1-args))
        (expr1-low (if (eq (vl-nonatom->op expr1)
                           :vl-bitselect)
                       expr1-high
                     (third expr1-args)))
        ((unless (and (vl-idexpr-p expr1-from)
                      (vl-expr-resolved-p expr1-high)
                      (vl-expr-resolved-p expr1-low)))
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        (high-val (vl-resolved->val expr1-high))
        (low-val (vl-resolved->val expr1-low))
        ((unless (<= low-val high-val))
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        ((mv min rest)
         (vl-maybe-merge-selects-aux (cdr x)
                                     expr1-from low-val))
        ((when (= min low-val))
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        ((mv okp range)
         (vl-ss-find-range (vl-idexpr->name expr1-from)
                           ss))
        ((unless okp)
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        ((unless (and range (vl-range-resolved-p range)
                      (>= (vl-resolved->val (vl-range->msb range))
                          (vl-resolved->val (vl-range->lsb range)))
                      (>= (vl-resolved->val (vl-range->msb range))
                          high-val)
                      (>= low-val
                          (vl-resolved->val (vl-range->lsb range)))))
         (cons expr1
               (vl-maybe-merge-selects (cdr x) ss)))
        (min-expr (vl-make-index min))
        (new-expr1
            (make-vl-nonatom :op :vl-partselect-colon
                             :args (list expr1-from expr1-high min-expr)
                             :finalwidth (+ 1 (- high-val low-val))
                             :finaltype :vl-unsigned
                             :atts nil)))
       (cons new-expr1
             (vl-maybe-merge-selects rest ss)))))

    Theorem: vl-exprlist-p-of-vl-maybe-merge-selects

    (defthm vl-exprlist-p-of-vl-maybe-merge-selects
      (b* ((new-x (vl-maybe-merge-selects x ss)))
        (vl-exprlist-p new-x))
      :rule-classes :rewrite)

    Theorem: vl-maybe-merge-selects-of-vl-exprlist-fix-x

    (defthm vl-maybe-merge-selects-of-vl-exprlist-fix-x
      (equal (vl-maybe-merge-selects (vl-exprlist-fix x)
                                     ss)
             (vl-maybe-merge-selects x ss)))

    Theorem: vl-maybe-merge-selects-vl-exprlist-equiv-congruence-on-x

    (defthm vl-maybe-merge-selects-vl-exprlist-equiv-congruence-on-x
      (implies (vl-exprlist-equiv x x-equiv)
               (equal (vl-maybe-merge-selects x ss)
                      (vl-maybe-merge-selects x-equiv ss)))
      :rule-classes :congruence)

    Theorem: vl-maybe-merge-selects-of-vl-scopestack-fix-ss

    (defthm vl-maybe-merge-selects-of-vl-scopestack-fix-ss
      (equal (vl-maybe-merge-selects x (vl-scopestack-fix ss))
             (vl-maybe-merge-selects x ss)))

    Theorem: vl-maybe-merge-selects-vl-scopestack-equiv-congruence-on-ss

    (defthm vl-maybe-merge-selects-vl-scopestack-equiv-congruence-on-ss
      (implies (vl-scopestack-equiv ss ss-equiv)
               (equal (vl-maybe-merge-selects x ss)
                      (vl-maybe-merge-selects x ss-equiv)))
      :rule-classes :congruence)