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    • Moddb.lisp

    Elab-mod$c-add-wire

    Signature
    (elab-mod$c-add-wire wire elab-mod$c) → elab-mod$c
    Arguments
    wire — Guard (wire-p wire).

    Definitions and Theorems

    Function: elab-mod$c-add-wire

    (defun elab-mod$c-add-wire (wire elab-mod$c)
     (declare (xargs :stobjs (elab-mod$c)))
     (declare (xargs :guard (wire-p wire)))
     (declare (xargs :guard (elab-mod$c-wires-ok elab-mod$c)))
     (let ((__function__ 'elab-mod$c-add-wire))
      (declare (ignorable __function__))
      (b*
       ((idx (lnfix (elab-mod$c->nwires elab-mod$c)))
        (wire (wire-fix wire))
        (name (wire->name wire))
        ((when (elab-mod$c->wirename-idxes-boundp name elab-mod$c))
         (cw "In ~x2: Wire already exists in ~s0: ~x1~%"
             (elab-mod$c->name elab-mod$c)
             name __function__)
         elab-mod$c)
        (elab-mod$c (if (<= (elab-mod$c->wiretable-length elab-mod$c)
                            idx)
                        (resize-elab-mod$c->wiretable (max 16 (* 2 idx))
                                                      elab-mod$c)
                      elab-mod$c))
        (elab-mod$c (update-elab-mod$c->nwires (1+ idx)
                                               elab-mod$c))
        (elab-mod$c
             (update-elab-mod$c->wiretablei idx wire elab-mod$c)))
       (elab-mod$c->wirename-idxes-put name idx elab-mod$c))))

    Theorem: elab-mod$c-wires-ok-of-elab-mod$c-add-wire

    (defthm elab-mod$c-wires-ok-of-elab-mod$c-add-wire
      (implies
           (elab-mod$c-wires-ok elab-mod$c)
           (elab-mod$c-wires-ok (elab-mod$c-add-wire wire elab-mod$c))))

    Theorem: wirelist-fix-of-update-nth

    (defthm wirelist-fix-of-update-nth
      (implies (<= (nfix n) (len x))
               (equal (wirelist-fix (update-nth n v x))
                      (update-nth n (wire-fix v)
                                  (wirelist-fix x)))))

    Theorem: wirelist-fix-of-take

    (defthm wirelist-fix-of-take
      (implies (<= (nfix n) (len x))
               (equal (wirelist-fix (take n x))
                      (take n (wirelist-fix x)))))

    Theorem: elab-mod$c-add-wire-update

    (defthm elab-mod$c-add-wire-update
     (implies
       (elab-mod$c-wires-ok elab-mod$c)
       (equal
            (elab-mod$c-wire-abstraction
                 (elab-mod$c-add-wire wire elab-mod$c))
            (let ((orig-wires (elab-mod$c-wire-abstraction elab-mod$c)))
              (if (member (wire->name wire)
                          (wirelist->names orig-wires))
                  orig-wires
                (append orig-wires (list (wire-fix wire))))))))

    Theorem: elab-mod$cp-of-add-wire

    (defthm elab-mod$cp-of-add-wire
      (implies (elab-mod$cp elab-mod$c)
               (elab-mod$cp (elab-mod$c-add-wire name elab-mod$c))))

    Theorem: elab-mod$cp-add-wire-frame

    (defthm elab-mod$cp-add-wire-frame
      (implies (and (not (equal n *elab-mod$c->nwires*))
                    (not (equal n *elab-mod$c->wiretablei*))
                    (not (equal n *elab-mod$c->wirename-idxes-get*)))
               (equal (nth n (elab-mod$c-add-wire wire elab-mod$c))
                      (nth n elab-mod$c))))

    Theorem: elab-mod$cp-add-wire-irrel

    (defthm elab-mod$cp-add-wire-irrel
      (implies
           (and (not (equal n *elab-mod$c->nwires*))
                (not (equal n *elab-mod$c->wiretablei*))
                (not (equal n *elab-mod$c->wirename-idxes-get*)))
           (equal (elab-mod$c-add-wire wire (update-nth n v elab-mod$c))
                  (update-nth n v
                              (elab-mod$c-add-wire wire elab-mod$c)))))

    Theorem: elab-mod$c-add-wire-of-wire-fix-wire

    (defthm elab-mod$c-add-wire-of-wire-fix-wire
      (equal (elab-mod$c-add-wire (wire-fix wire)
                                  elab-mod$c)
             (elab-mod$c-add-wire wire elab-mod$c)))

    Theorem: elab-mod$c-add-wire-wire-equiv-congruence-on-wire

    (defthm elab-mod$c-add-wire-wire-equiv-congruence-on-wire
      (implies (wire-equiv wire wire-equiv)
               (equal (elab-mod$c-add-wire wire elab-mod$c)
                      (elab-mod$c-add-wire wire-equiv elab-mod$c)))
      :rule-classes :congruence)