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    • Fraig

    Fraig-sweep

    Signature
    (fraig-sweep aignet aignet2 copy strash classes mark config state) 
      → 
    (mv new-aignet2 new-copy new-strash new-classes new-state)
    Arguments
    aignet — Input aignet.
    aignet2 — New aignet.
    copy — Mapping from old to new aignet.
    strash — strash for aignet2.
    classes — equiv classes data structure.
    mark — bitarr marking nodes to be simplified.
    config — Guard (fraig-config-p config).

    Definitions and Theorems

    Function: fraig-sweep

    (defun fraig-sweep (aignet aignet2
                               copy strash classes mark config state)
     (declare (xargs :stobjs (aignet aignet2
                                     copy strash classes mark state)))
     (declare (xargs :guard (fraig-config-p config)))
     (declare (xargs :guard (and (<= (num-fanins aignet)
                                     (lits-length copy))
                                 (<= (num-fanins aignet)
                                     (bits-length mark))
                                 (aignet-copies-in-bounds copy aignet2)
                                 (classes-wellformed classes)
                                 (equal (classes-size classes)
                                        (num-fanins aignet))
                                 (equal (num-ins aignet)
                                        (num-ins aignet2))
                                 (equal (num-regs aignet)
                                        (num-regs aignet2)))))
     (let ((__function__ 'fraig-sweep))
      (declare (ignorable __function__))
      (b*
       (((local-stobjs fraig-ctrexes
                       sat-lits aignet-refcounts fraig-stats)
         (mv aignet2 copy strash
             fraig-ctrexes classes aignet-refcounts
             sat-lits fraig-stats state))
        ((ipasir::local-ipasir ipasir)
         (mv aignet2 copy strash
             fraig-ctrexes classes aignet-refcounts
             sat-lits ipasir fraig-stats state))
        ((fraig-config config))
        (ipasir (ipasir-set-limit ipasir config.ipasir-limit))
        (fraig-ctrexes
             (fraig-ctrexes-init config.sim-words fraig-ctrexes aignet))
        (sat-lits (resize-aignet->sat (ash (num-fanins aignet) -1)
                                      sat-lits))
        ((mv nclasses nconst-lits nclass-lits)
         (classes-counts-with-mark classes mark))
        (fraig-stats
             (update-fraig-initial-nclasses nclasses fraig-stats))
        (fraig-stats
             (update-fraig-initial-nconst-lits nconst-lits fraig-stats))
        (fraig-stats
             (update-fraig-initial-nclass-lits nclass-lits fraig-stats))
        (- (print-fraig-stats-initial fraig-stats))
        ((mv aignet2 copy strash
             fraig-ctrexes classes aignet-refcounts
             sat-lits ipasir fraig-stats state)
         (fraig-sweep-aux 0
                          aignet aignet2 copy strash fraig-ctrexes
                          classes mark aignet-refcounts sat-lits
                          ipasir fraig-stats config state))
        ((mv classes fraig-ctrexes fraig-stats state)
         (if
          (and config.final-force-resim
               (not (eql 0 (fraig-ctrex-nbits fraig-ctrexes))))
          (fraig-ctrexes-resim aignet
                               fraig-ctrexes classes fraig-stats state)
          (mv classes
              fraig-ctrexes fraig-stats state)))
        (- (print-aignet-stats "Tmp" aignet2))
        (- (print-fraig-stats-noninitial
                classes ipasir fraig-stats mark)))
       (mv aignet2 copy strash
           fraig-ctrexes classes aignet-refcounts
           sat-lits ipasir fraig-stats state))))

    Theorem: aignet-extension-p-of-fraig-sweep

    (defthm aignet-extension-p-of-fraig-sweep
      (aignet-extension-p
           (mv-nth 0
                   (fraig-sweep aignet aignet2
                                copy strash classes mark config state))
           aignet2)
      :rule-classes :rewrite)

    Theorem: classes-wellformed-of-fraig-sweep

    (defthm classes-wellformed-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (implies (classes-wellformed classes)
                 (classes-wellformed new-classes))))

    Theorem: classes-size-of-fraig-sweep

    (defthm classes-size-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (equal (classes-size new-classes)
               (classes-size classes))))

    Theorem: stype-count-preserved-of-fraig-sweep

    (defthm stype-count-preserved-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (implies (and (not (eq (stype-fix stype) (and-stype)))
                      (not (eq (stype-fix stype) (xor-stype))))
                 (equal (stype-count stype new-aignet2)
                        (stype-count stype aignet2)))))

    Theorem: copy-len-of-fraig-sweep

    (defthm copy-len-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (implies (< (fanin-count aignet) (len copy))
                 (equal (len new-copy) (len copy)))))

    Theorem: aignet-copies-ok-of-fraig-sweep

    (defthm aignet-copies-ok-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (implies (aignet-copies-in-bounds copy aignet2)
                 (aignet-copies-in-bounds new-copy new-aignet2))))

    Theorem: aignet-copy-is-comb-equivalent-for-non-gates-of-fraig-sweep

    (defthm aignet-copy-is-comb-equivalent-for-non-gates-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (implies (and (aignet-copy-is-comb-equivalent-for-non-gates
                           (num-fanins aignet)
                           aignet copy aignet2)
                      (aignet-copies-in-bounds copy aignet2))
                 (aignet-copy-is-comb-equivalent-for-non-gates
                      (+ 1 (fanin-count aignet))
                      aignet new-copy new-aignet2))))

    Theorem: aignet-copy-is-comb-equivalent-of-fraig-sweep

    (defthm aignet-copy-is-comb-equivalent-of-fraig-sweep
     (b* (((mv ?new-aignet2 ?new-copy
               ?new-strash ?new-classes ?new-state)
           (fraig-sweep aignet aignet2
                        copy strash classes mark config state)))
      (implies
         (and (aignet-copy-is-comb-equivalent-for-non-gates
                   (num-fanins aignet)
                   aignet copy aignet2)
              (aignet-copies-in-bounds copy aignet2))
         (aignet-copy-is-comb-equivalent (+ 1 (fanin-count aignet))
                                         aignet new-copy new-aignet2))))

    Theorem: w-state-of-fraig-sweep

    (defthm w-state-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (equal (w new-state) (w state))))

    Theorem: lit-copy-0-of-fraig-sweep

    (defthm lit-copy-0-of-fraig-sweep
      (b* (((mv ?new-aignet2 ?new-copy
                ?new-strash ?new-classes ?new-state)
            (fraig-sweep aignet aignet2
                         copy strash classes mark config state)))
        (equal (lit-copy 0 new-copy)
               (lit-copy 0 copy))))

    Theorem: fraig-sweep-of-fraig-config-fix-config

    (defthm fraig-sweep-of-fraig-config-fix-config
      (equal (fraig-sweep aignet aignet2 copy strash
                          classes mark (fraig-config-fix config)
                          state)
             (fraig-sweep aignet aignet2
                          copy strash classes mark config state)))

    Theorem: fraig-sweep-fraig-config-equiv-congruence-on-config

    (defthm fraig-sweep-fraig-config-equiv-congruence-on-config
     (implies (fraig-config-equiv config config-equiv)
              (equal (fraig-sweep aignet aignet2
                                  copy strash classes mark config state)
                     (fraig-sweep aignet aignet2 copy strash
                                  classes mark config-equiv state)))
     :rule-classes :congruence)