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    • Sv::vl-expr.lisp

    Vl-seltrace-to-svex-select

    Signature
    (vl-seltrace-to-svex-select x indices base-type base-svar outer-ss) 
      → 
    (mv err select)
    Arguments
    x — Guard (vl-seltrace-p x).
    indices — Guard (sv::svexlist-p indices).
    base-type — The type of the variable that the selects are indexing into.
        Guard (vl-datatype-p base-type).
    base-svar — Guard (sv::svar-p base-svar).
    outer-ss — Guard (vl-scopestack-p outer-ss).
    Returns
    err — Type (iff (vl-msg-p err) err).
    select — Type (implies (not err) (sv::svex-select-p select)).

    Definitions and Theorems

    Function: vl-seltrace-to-svex-select

    (defun vl-seltrace-to-svex-select
           (x indices base-type base-svar outer-ss)
     (declare (xargs :guard (and (vl-seltrace-p x)
                                 (sv::svexlist-p indices)
                                 (vl-datatype-p base-type)
                                 (sv::svar-p base-svar)
                                 (vl-scopestack-p outer-ss))))
     (declare (xargs :guard (and (vl-seltrace-usertypes-ok x)
                                 (vl-datatype-resolved-p base-type)
                                 (>= (len indices)
                                     (vl-seltrace-index-count x)))))
     (let ((__function__ 'vl-seltrace-to-svex-select))
      (declare (ignorable __function__))
      (b*
       ((type (vl-seltrace-type x base-type))
        ((mv err size) (vl-datatype-size type))
        ((when err) (mv err nil))
        ((unless size)
         (mv (vmsg "Could not size datatype ~s0" type)
             nil))
        ((when (atom x))
         (mv nil
             (sv::make-svex-select-var :name base-svar
                                       :width size)))
        ((vl-selstep step) (car x))
        (rest-type (vl-seltrace-type (cdr x) base-type))
        (rest-type (vl-maybe-usertype-resolve rest-type))
        ((mv err shift-amt)
         (vl-select-case
              step.select :field
              (b* (((mv err idx)
                    (vl-datatype-field-shift-amount
                         rest-type step.select.name))
                   ((when err) (mv err idx)))
                (mv nil (svex-int idx)))
              :index
              (vl-datatype-index-shift-amount rest-type (car indices))))
        ((when err) (mv err nil))
        ((mv err rest)
         (vl-seltrace-to-svex-select
              (cdr x)
              (vl-select-case step.select
                              :field indices
                              :index (cdr indices))
              base-type base-svar outer-ss))
        ((when err) (mv err nil)))
       (mv err
           (sv::make-svex-select-part :lsb shift-amt
                                      :width size
                                      :subexp rest)))))

    Theorem: return-type-of-vl-seltrace-to-svex-select.err

    (defthm return-type-of-vl-seltrace-to-svex-select.err
      (b* (((mv ?err ?select)
            (vl-seltrace-to-svex-select
                 x
                 indices base-type base-svar outer-ss)))
        (iff (vl-msg-p err) err))
      :rule-classes :rewrite)

    Theorem: return-type-of-vl-seltrace-to-svex-select.select

    (defthm return-type-of-vl-seltrace-to-svex-select.select
      (b* (((mv ?err ?select)
            (vl-seltrace-to-svex-select
                 x
                 indices base-type base-svar outer-ss)))
        (implies (not err)
                 (sv::svex-select-p select)))
      :rule-classes :rewrite)

    Theorem: vars-of-vl-seltrace-to-svex-select

    (defthm vars-of-vl-seltrace-to-svex-select
     (b* (((mv ?err ?select)
           (vl-seltrace-to-svex-select
                x
                indices base-type base-svar outer-ss)))
      (implies
        (and (not (member v
                          (double-rewrite (sv::svexlist-vars indices))))
             (not (equal v (sv::svar-fix base-svar)))
             (not err))
        (not (member v (sv::svex-select-vars select))))))

    Theorem: vl-seltrace-to-svex-select-of-vl-seltrace-fix-x

    (defthm vl-seltrace-to-svex-select-of-vl-seltrace-fix-x
     (equal
       (vl-seltrace-to-svex-select (vl-seltrace-fix x)
                                   indices base-type base-svar outer-ss)
       (vl-seltrace-to-svex-select
            x
            indices base-type base-svar outer-ss)))

    Theorem: vl-seltrace-to-svex-select-vl-seltrace-equiv-congruence-on-x

    (defthm vl-seltrace-to-svex-select-vl-seltrace-equiv-congruence-on-x
      (implies (vl-seltrace-equiv x x-equiv)
               (equal (vl-seltrace-to-svex-select
                           x indices base-type base-svar outer-ss)
                      (vl-seltrace-to-svex-select
                           x-equiv
                           indices base-type base-svar outer-ss)))
      :rule-classes :congruence)

    Theorem: vl-seltrace-to-svex-select-of-svexlist-fix-indices

    (defthm vl-seltrace-to-svex-select-of-svexlist-fix-indices
      (equal (vl-seltrace-to-svex-select x (sv::svexlist-fix indices)
                                         base-type base-svar outer-ss)
             (vl-seltrace-to-svex-select
                  x
                  indices base-type base-svar outer-ss)))

    Theorem: vl-seltrace-to-svex-select-svexlist-equiv-congruence-on-indices

    (defthm
        vl-seltrace-to-svex-select-svexlist-equiv-congruence-on-indices
     (implies
      (sv::svexlist-equiv indices indices-equiv)
      (equal (vl-seltrace-to-svex-select
                  x indices base-type base-svar outer-ss)
             (vl-seltrace-to-svex-select x indices-equiv
                                         base-type base-svar outer-ss)))
     :rule-classes :congruence)

    Theorem: vl-seltrace-to-svex-select-of-vl-datatype-fix-base-type

    (defthm vl-seltrace-to-svex-select-of-vl-datatype-fix-base-type
     (equal
       (vl-seltrace-to-svex-select x indices (vl-datatype-fix base-type)
                                   base-svar outer-ss)
       (vl-seltrace-to-svex-select
            x
            indices base-type base-svar outer-ss)))

    Theorem: vl-seltrace-to-svex-select-vl-datatype-equiv-congruence-on-base-type

    (defthm
     vl-seltrace-to-svex-select-vl-datatype-equiv-congruence-on-base-type
     (implies
      (vl-datatype-equiv base-type base-type-equiv)
      (equal
       (vl-seltrace-to-svex-select
            x indices base-type base-svar outer-ss)
       (vl-seltrace-to-svex-select x indices
                                   base-type-equiv base-svar outer-ss)))
     :rule-classes :congruence)

    Theorem: vl-seltrace-to-svex-select-of-svar-fix-base-svar

    (defthm vl-seltrace-to-svex-select-of-svar-fix-base-svar
     (equal
          (vl-seltrace-to-svex-select x indices
                                      base-type (sv::svar-fix base-svar)
                                      outer-ss)
          (vl-seltrace-to-svex-select
               x
               indices base-type base-svar outer-ss)))

    Theorem: vl-seltrace-to-svex-select-svar-equiv-congruence-on-base-svar

    (defthm
          vl-seltrace-to-svex-select-svar-equiv-congruence-on-base-svar
     (implies
      (sv::svar-equiv base-svar base-svar-equiv)
      (equal
       (vl-seltrace-to-svex-select
            x indices base-type base-svar outer-ss)
       (vl-seltrace-to-svex-select x indices
                                   base-type base-svar-equiv outer-ss)))
     :rule-classes :congruence)

    Theorem: vl-seltrace-to-svex-select-of-vl-scopestack-fix-outer-ss

    (defthm vl-seltrace-to-svex-select-of-vl-scopestack-fix-outer-ss
      (equal (vl-seltrace-to-svex-select
                  x indices base-type
                  base-svar (vl-scopestack-fix outer-ss))
             (vl-seltrace-to-svex-select
                  x
                  indices base-type base-svar outer-ss)))

    Theorem: vl-seltrace-to-svex-select-vl-scopestack-equiv-congruence-on-outer-ss

    (defthm
     vl-seltrace-to-svex-select-vl-scopestack-equiv-congruence-on-outer-ss
     (implies
      (vl-scopestack-equiv outer-ss outer-ss-equiv)
      (equal
       (vl-seltrace-to-svex-select
            x indices base-type base-svar outer-ss)
       (vl-seltrace-to-svex-select x indices
                                   base-type base-svar outer-ss-equiv)))
     :rule-classes :congruence)