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    • Gatesplit

    Vl-gateinst-gatesplit

    Main routine for splitting high-arity gate instances.

    Signature
    (vl-gateinst-gatesplit x nf warnings) 
      → 
    (mv warnings new-decls new-gateinsts nf)
    Arguments
    x — Gate instance to perhaps split up.
        Guard (vl-gateinst-p x).
    nf — Name factory for generating fresh names.
        Guard (vl-namefactory-p nf).
    warnings — Ordinary warnings accumulator.
        Guard (vl-warninglist-p warnings).
    Returns
    warnings — Type (vl-warninglist-p warnings).
    new-decls — New declarations for temporary wires.
        Type (vl-vardecllist-p new-decls), given the guard.
    new-gateinsts — Replacement gate instances.
        Type (vl-gateinstlist-p new-gateinsts), given the guard.
    nf — Type (vl-namefactory-p nf), given the guard.

    Definitions and Theorems

    Function: vl-gateinst-gatesplit

    (defun vl-gateinst-gatesplit (x nf warnings)
      (declare (xargs :guard (and (vl-gateinst-p x)
                                  (vl-namefactory-p nf)
                                  (vl-warninglist-p warnings))))
      (let ((__function__ 'vl-gateinst-gatesplit))
        (declare (ignorable __function__))
        (case (vl-gateinst->type x)
              ((:vl-not :vl-buf)
               (b* (((mv warnings new-gateinsts nf)
                     (vl-gatesplit-buf/not x nf warnings)))
                 (mv warnings nil new-gateinsts nf)))
              ((:vl-and :vl-or :vl-xor)
               (vl-gatesplit-and/or/xor x nf warnings))
              ((:vl-nand :vl-nor :vl-xnor)
               (vl-gatesplit-nand/nor/xnor x nf warnings))
              (otherwise (mv (ok) nil (list x) nf)))))

    Theorem: vl-warninglist-p-of-vl-gateinst-gatesplit.warnings

    (defthm vl-warninglist-p-of-vl-gateinst-gatesplit.warnings
      (b* (((mv ?warnings ?new-decls ?new-gateinsts ?nf)
            (vl-gateinst-gatesplit x nf warnings)))
        (vl-warninglist-p warnings))
      :rule-classes :rewrite)

    Theorem: vl-vardecllist-p-of-vl-gateinst-gatesplit.new-decls

    (defthm vl-vardecllist-p-of-vl-gateinst-gatesplit.new-decls
      (implies (and (force (vl-gateinst-p x))
                    (force (vl-namefactory-p nf))
                    (force (vl-warninglist-p warnings)))
               (b* (((mv ?warnings ?new-decls ?new-gateinsts ?nf)
                     (vl-gateinst-gatesplit x nf warnings)))
                 (vl-vardecllist-p new-decls)))
      :rule-classes :rewrite)

    Theorem: vl-gateinstlist-p-of-vl-gateinst-gatesplit.new-gateinsts

    (defthm vl-gateinstlist-p-of-vl-gateinst-gatesplit.new-gateinsts
      (implies (and (force (vl-gateinst-p x))
                    (force (vl-namefactory-p nf))
                    (force (vl-warninglist-p warnings)))
               (b* (((mv ?warnings ?new-decls ?new-gateinsts ?nf)
                     (vl-gateinst-gatesplit x nf warnings)))
                 (vl-gateinstlist-p new-gateinsts)))
      :rule-classes :rewrite)

    Theorem: vl-namefactory-p-of-vl-gateinst-gatesplit.nf

    (defthm vl-namefactory-p-of-vl-gateinst-gatesplit.nf
      (implies (and (force (vl-gateinst-p x))
                    (force (vl-namefactory-p nf))
                    (force (vl-warninglist-p warnings)))
               (b* (((mv ?warnings ?new-decls ?new-gateinsts ?nf)
                     (vl-gateinst-gatesplit x nf warnings)))
                 (vl-namefactory-p nf)))
      :rule-classes :rewrite)

    Theorem: vl-gateinst-gatesplit-mvtypes-1

    (defthm vl-gateinst-gatesplit-mvtypes-1
      (true-listp (mv-nth 1
                          (vl-gateinst-gatesplit x nf warnings)))
      :rule-classes :type-prescription)

    Theorem: vl-gateinst-gatesplit-mvtypes-2

    (defthm vl-gateinst-gatesplit-mvtypes-2
      (true-listp (mv-nth 2
                          (vl-gateinst-gatesplit x nf warnings)))
      :rule-classes :type-prescription)