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    • Occform

    Vl-assign-occform

    Transform an arbitrary single assignment into occurrences.

    Signature
    (vl-assign-occform x nf mod ialist warnings) 
      → 
    (mv new-warnings new-modules new-modinsts new-assigns new-nf)
    Arguments
    x — Guard (vl-assign-p x).
    nf — Guard (vl-namefactory-p nf).
    mod — Guard (vl-module-p mod).
    ialist — Guard (equal ialist (vl-make-moditem-alist mod)).
    warnings — Guard (vl-warninglist-p warnings).
    Returns
    new-warnings — Type (vl-warninglist-p new-warnings).
    new-modules — Type (vl-modulelist-p new-modules).
    new-modinsts — Type (vl-modinstlist-p new-modinsts).
    new-assigns — Type (vl-assignlist-p new-assigns).
    new-nf — Type (vl-namefactory-p new-nf).

    We don't support certain operators like division and modulus yet. It should be straightforward to add new operators: just figure out how to generate a gate-based conservative approximation, and then plug it in below.

    Definitions and Theorems

    Function: vl-assign-occform

    (defun vl-assign-occform (x nf mod ialist warnings)
     (declare
        (xargs :guard (and (vl-assign-p x)
                           (vl-namefactory-p nf)
                           (vl-module-p mod)
                           (vl-warninglist-p warnings)
                           (equal ialist (vl-make-moditem-alist mod)))))
     (declare (xargs :guard (and t)))
     (let ((__function__ 'vl-assign-occform))
      (declare (ignorable __function__))
      (b* ((x (vl-assign-fix x))
           (warnings (vl-warninglist-fix warnings))
           (nf (vl-namefactory-fix nf)))
       (b* ((expr (vl-assign->expr x))
            ((when (vl-expr-sliceable-p expr))
             (vl-plain-occform x nf mod ialist warnings))
            ((when (vl-fast-atom-p expr))
             (occform-return
                  :assigns (list x)
                  :warnings
                  (fatal :type :vl-not-implemented
                         :msg "~a0: don't know how to occform ~x1 atom."
                         :args (list x (tag (vl-atom->guts expr))))))
            (op (vl-nonatom->op expr)))
        (case
         op
         ((:vl-unary-bitand :vl-unary-bitor :vl-unary-xor)
          (vl-unary-reduction-op-occform x nf mod ialist warnings))
         (:vl-unary-bitnot
              (vl-unary-not-occform x nf mod ialist warnings))
         ((:vl-binary-plus :vl-binary-minus)
          (vl-plusminus-occform x nf mod ialist warnings))
         ((:vl-binary-bitand :vl-binary-bitor
                             :vl-binary-xor :vl-binary-xnor)
          (vl-basic-binary-op-occform x nf mod ialist warnings))
         ((:vl-binary-gte)
          (vl-gte-occform x nf mod ialist warnings))
         ((:vl-binary-ceq)
          (vl-ceq-occform x nf mod ialist warnings))
         ((:vl-bitselect)
          (vl-bitselect-occform x nf mod ialist warnings))
         ((:vl-qmark)
          (vl-mux-occform x nf mod ialist warnings))
         ((:vl-binary-shl :vl-binary-shr)
          (vl-shift-occform x nf mod ialist warnings))
         ((:vl-binary-times)
          (vl-mult-occform x nf mod ialist warnings))
         ((:vl-binary-div)
          (vl-div-occform x nf mod ialist warnings))
         ((:vl-binary-rem)
          (vl-rem-occform x nf mod ialist warnings))
         ((:vl-partselect-colon :vl-concat :vl-multiconcat)
          (occform-return
               :assigns (list x)
               :warnings
               (fatal :type :vl-programming-error
                      :msg "~a0: expected ~x1 operator to be sliceable!"
                      :args (list x op))))
         (otherwise
          (occform-return
              :assigns (list x)
              :warnings
              (fatal :type :vl-not-implemented
                     :msg "~a0: don't know how to occform ~x1 operator."
                     :args (list x op)))))))))

    Theorem: vl-warninglist-p-of-vl-assign-occform.new-warnings

    (defthm vl-warninglist-p-of-vl-assign-occform.new-warnings
      (b* (((mv ?new-warnings ?new-modules
                ?new-modinsts ?new-assigns ?new-nf)
            (vl-assign-occform x nf mod ialist warnings)))
        (vl-warninglist-p new-warnings))
      :rule-classes :rewrite)

    Theorem: vl-modulelist-p-of-vl-assign-occform.new-modules

    (defthm vl-modulelist-p-of-vl-assign-occform.new-modules
      (b* (((mv ?new-warnings ?new-modules
                ?new-modinsts ?new-assigns ?new-nf)
            (vl-assign-occform x nf mod ialist warnings)))
        (vl-modulelist-p new-modules))
      :rule-classes :rewrite)

    Theorem: vl-modinstlist-p-of-vl-assign-occform.new-modinsts

    (defthm vl-modinstlist-p-of-vl-assign-occform.new-modinsts
      (b* (((mv ?new-warnings ?new-modules
                ?new-modinsts ?new-assigns ?new-nf)
            (vl-assign-occform x nf mod ialist warnings)))
        (vl-modinstlist-p new-modinsts))
      :rule-classes :rewrite)

    Theorem: vl-assignlist-p-of-vl-assign-occform.new-assigns

    (defthm vl-assignlist-p-of-vl-assign-occform.new-assigns
      (b* (((mv ?new-warnings ?new-modules
                ?new-modinsts ?new-assigns ?new-nf)
            (vl-assign-occform x nf mod ialist warnings)))
        (vl-assignlist-p new-assigns))
      :rule-classes :rewrite)

    Theorem: vl-namefactory-p-of-vl-assign-occform.new-nf

    (defthm vl-namefactory-p-of-vl-assign-occform.new-nf
      (b* (((mv ?new-warnings ?new-modules
                ?new-modinsts ?new-assigns ?new-nf)
            (vl-assign-occform x nf mod ialist warnings)))
        (vl-namefactory-p new-nf))
      :rule-classes :rewrite)

    Theorem: vl-assign-occform-mvtypes-1

    (defthm vl-assign-occform-mvtypes-1
      (true-listp (mv-nth 1
                          (vl-assign-occform x nf mod ialist warnings)))
      :rule-classes :type-prescription)

    Theorem: vl-assign-occform-mvtypes-2

    (defthm vl-assign-occform-mvtypes-2
      (true-listp (mv-nth 2
                          (vl-assign-occform x nf mod ialist warnings)))
      :rule-classes :type-prescription)

    Theorem: vl-assign-occform-mvtypes-3

    (defthm vl-assign-occform-mvtypes-3
      (true-listp (mv-nth 3
                          (vl-assign-occform x nf mod ialist warnings)))
      :rule-classes :type-prescription)

    Theorem: vl-assign-occform-of-vl-assign-fix-x

    (defthm vl-assign-occform-of-vl-assign-fix-x
      (equal (vl-assign-occform (vl-assign-fix x)
                                nf mod ialist warnings)
             (vl-assign-occform x nf mod ialist warnings)))

    Theorem: vl-assign-occform-vl-assign-equiv-congruence-on-x

    (defthm vl-assign-occform-vl-assign-equiv-congruence-on-x
      (implies
           (vl-assign-equiv x x-equiv)
           (equal (vl-assign-occform x nf mod ialist warnings)
                  (vl-assign-occform x-equiv nf mod ialist warnings)))
      :rule-classes :congruence)

    Theorem: vl-assign-occform-of-vl-namefactory-fix-nf

    (defthm vl-assign-occform-of-vl-namefactory-fix-nf
      (equal (vl-assign-occform x (vl-namefactory-fix nf)
                                mod ialist warnings)
             (vl-assign-occform x nf mod ialist warnings)))

    Theorem: vl-assign-occform-vl-namefactory-equiv-congruence-on-nf

    (defthm vl-assign-occform-vl-namefactory-equiv-congruence-on-nf
      (implies
           (vl-namefactory-equiv nf nf-equiv)
           (equal (vl-assign-occform x nf mod ialist warnings)
                  (vl-assign-occform x nf-equiv mod ialist warnings)))
      :rule-classes :congruence)

    Theorem: vl-assign-occform-of-vl-module-fix-mod

    (defthm vl-assign-occform-of-vl-module-fix-mod
      (equal (vl-assign-occform x nf (vl-module-fix mod)
                                ialist warnings)
             (vl-assign-occform x nf mod ialist warnings)))

    Theorem: vl-assign-occform-vl-module-equiv-congruence-on-mod

    (defthm vl-assign-occform-vl-module-equiv-congruence-on-mod
      (implies
           (vl-module-equiv mod mod-equiv)
           (equal (vl-assign-occform x nf mod ialist warnings)
                  (vl-assign-occform x nf mod-equiv ialist warnings)))
      :rule-classes :congruence)

    Theorem: vl-assign-occform-of-vl-warninglist-fix-warnings

    (defthm vl-assign-occform-of-vl-warninglist-fix-warnings
      (equal (vl-assign-occform x nf mod
                                ialist (vl-warninglist-fix warnings))
             (vl-assign-occform x nf mod ialist warnings)))

    Theorem: vl-assign-occform-vl-warninglist-equiv-congruence-on-warnings

    (defthm
          vl-assign-occform-vl-warninglist-equiv-congruence-on-warnings
      (implies
           (vl-warninglist-equiv warnings warnings-equiv)
           (equal (vl-assign-occform x nf mod ialist warnings)
                  (vl-assign-occform x nf mod ialist warnings-equiv)))
      :rule-classes :congruence)