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    • Fraig

    Fraig-ctrexes-maybe-resim

    Signature
    (fraig-ctrexes-maybe-resim node config aignet 
                               fraig-ctrexes classes fraig-stats state) 
     
      → 
    (mv forced-last-chancep 
        new-classes new-fraig-ctrexes 
        new-fraig-stats new-state) 
    
    Arguments
    node — Guard (natp node).
    config — Guard (fraig-config-p config).
    aignet — input aignet.
    classes — equiv classes data structure.
    fraig-stats — statistics record.

    Definitions and Theorems

    Function: fraig-ctrexes-maybe-resim

    (defun fraig-ctrexes-maybe-resim
           (node config aignet
                 fraig-ctrexes classes fraig-stats state)
     (declare (xargs :stobjs (aignet fraig-ctrexes
                                     classes fraig-stats state)))
     (declare (xargs :guard (and (natp node)
                                 (fraig-config-p config))))
     (declare
       (xargs :guard (and (id-existsp node aignet)
                          (classes-wellformed classes)
                          (fraig-ctrexes-ok fraig-ctrexes)
                          (equal (fraig-ctrex-data-rows fraig-ctrexes)
                                 (classes-size classes))
                          (equal (classes-size classes)
                                 (num-fanins aignet))
                          (equal (fraig-ctrex-in/reg-rows fraig-ctrexes)
                                 (+ (num-ins aignet)
                                    (num-regs aignet))))))
     (let ((__function__ 'fraig-ctrexes-maybe-resim))
      (declare (ignorable __function__))
      (b*
       (((fraig-config config))
        (head (node-head node classes))
        (force-resim
         (and config.ctrex-force-resim
              (b* (((acl2::stobj-get force-resim)
                    ((bitarr (fraig-ctrex-resim-classes fraig-ctrexes)))
                    (eql 1 (get-bit head bitarr))))
                force-resim)))
        ((unless (or (>= (lnfix (fraig-ctrex-nbits fraig-ctrexes))
                         (* 32 (fraig-ctrex-ncols fraig-ctrexes)))
                     (and config.ctrex-queue-limit
                          (>= (lnfix (fraig-ctrex-count fraig-ctrexes))
                              config.ctrex-queue-limit))
                     force-resim))
         (mv nil classes
             fraig-ctrexes fraig-stats state))
        ((mv classes fraig-ctrexes fraig-stats state)
         (fraig-ctrexes-resim aignet fraig-ctrexes
                              classes fraig-stats state))
        (fraig-stats
           (if (eql head (node-head node classes))
               fraig-stats
             (fraig-stats-update-last-chance force-resim fraig-stats))))
       (mv (and force-resim
                (not (eql head (node-head node classes))))
           classes
           fraig-ctrexes fraig-stats state))))

    Theorem: classes-wellformed-of-fraig-ctrexes-maybe-resim

    (defthm classes-wellformed-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (implies (classes-wellformed classes)
                 (classes-wellformed new-classes))))

    Theorem: classes-size-of-fraig-ctrexes-maybe-resim

    (defthm classes-size-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (equal (classes-size new-classes)
               (classes-size classes))))

    Theorem: fraig-ctrexes-ok-of-fraig-ctrexes-maybe-resim

    (defthm fraig-ctrexes-ok-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (implies (and (fraig-ctrexes-ok fraig-ctrexes)
                      (equal (fraig-ctrex-data-rows fraig-ctrexes)
                             (num-fanins aignet)))
                 (fraig-ctrexes-ok new-fraig-ctrexes))))

    Theorem: fraig-ctrex-data-rows-of-fraig-ctrexes-maybe-resim

    (defthm fraig-ctrex-data-rows-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (implies (equal (fraig-ctrex-data-rows fraig-ctrexes)
                        (num-fanins aignet))
                 (equal (fraig-ctrex-data-rows new-fraig-ctrexes)
                        (num-fanins aignet)))))

    Theorem: fraig-ctrex-in/reg-rows-of-fraig-ctrexes-maybe-resim

    (defthm fraig-ctrex-in/reg-rows-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (equal (fraig-ctrex-in/reg-rows new-fraig-ctrexes)
               (fraig-ctrex-in/reg-rows fraig-ctrexes))))

    Theorem: fraig-ctrex-ncols-of-fraig-ctrexes-maybe-resim

    (defthm fraig-ctrex-ncols-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (equal (fraig-ctrex-ncols new-fraig-ctrexes)
               (fraig-ctrex-ncols fraig-ctrexes))))

    Theorem: fraig-ctrex-nbits-of-fraig-ctrexes-maybe-resim

    (defthm fraig-ctrex-nbits-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (implies (and (<= (nfix (nth *fraig-ctrex-nbits* fraig-ctrexes))
                          (* 32 (fraig-ctrex-ncols fraig-ctrexes)))
                      (posp (fraig-ctrex-ncols fraig-ctrexes)))
                 (< (nfix (nth *fraig-ctrex-nbits* new-fraig-ctrexes))
                    (* 32 (fraig-ctrex-ncols fraig-ctrexes)))))
      :rule-classes :linear)

    Theorem: w-state-of-fraig-ctrexes-maybe-resim

    (defthm w-state-of-fraig-ctrexes-maybe-resim
      (b* (((mv ?forced-last-chancep
                ?new-classes ?new-fraig-ctrexes
                ?new-fraig-stats ?new-state)
            (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                       classes fraig-stats state)))
        (equal (w new-state) (w state))))

    Theorem: fraig-ctrexes-maybe-resim-of-nfix-node

    (defthm fraig-ctrexes-maybe-resim-of-nfix-node
      (equal (fraig-ctrexes-maybe-resim
                  (nfix node)
                  config aignet
                  fraig-ctrexes classes fraig-stats state)
             (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                        classes fraig-stats state)))

    Theorem: fraig-ctrexes-maybe-resim-nat-equiv-congruence-on-node

    (defthm fraig-ctrexes-maybe-resim-nat-equiv-congruence-on-node
     (implies
      (nat-equiv node node-equiv)
      (equal
       (fraig-ctrexes-maybe-resim
            node config aignet
            fraig-ctrexes classes fraig-stats state)
       (fraig-ctrexes-maybe-resim node-equiv config aignet fraig-ctrexes
                                  classes fraig-stats state)))
     :rule-classes :congruence)

    Theorem: fraig-ctrexes-maybe-resim-of-fraig-config-fix-config

    (defthm fraig-ctrexes-maybe-resim-of-fraig-config-fix-config
      (equal (fraig-ctrexes-maybe-resim
                  node (fraig-config-fix config)
                  aignet
                  fraig-ctrexes classes fraig-stats state)
             (fraig-ctrexes-maybe-resim node config aignet fraig-ctrexes
                                        classes fraig-stats state)))

    Theorem: fraig-ctrexes-maybe-resim-fraig-config-equiv-congruence-on-config

    (defthm
      fraig-ctrexes-maybe-resim-fraig-config-equiv-congruence-on-config
     (implies
      (fraig-config-equiv config config-equiv)
      (equal
       (fraig-ctrexes-maybe-resim
            node config aignet
            fraig-ctrexes classes fraig-stats state)
       (fraig-ctrexes-maybe-resim node config-equiv aignet fraig-ctrexes
                                  classes fraig-stats state)))
     :rule-classes :congruence)