 child_count, out_node_count, warp_tid, warp_offset + warp_id );
        const uint32 node_offset = atomicAdd( out_node_count, child_count );

        // write the them out
        if (child_count == 2)
        {
            RADIX_TREE_WRITE_NODE( node_offset+0, node, begin, split_index, level-1, node_offset+1, proper_split? 1 : -1 ); // mark nodes produced by "virtual" splits with a -1
            RADIX_TREE_WRITE_NODE( node_offset+1, node, split_index, end,   level-1, skip_node,     proper_split? 1 : -1 ); // mark nodes produced by "virtual" splits with a -1
        }

        const bool generate_leaf = (node_flag == 1) && (proper_split == false);

        // count how many leaves we need to generate
        //const uint32 leaf_index = cuda::alloc<1>( generate_leaf, out_leaf_count, warp_tid, warp_offset + warp_id );
        const uint32 leaf_index = atomicAdd( out_leaf_count, generate_leaf? 1u : 0u );

        // write out the current node if it's not virtual
        if (node_flag == 1)
        {
            tree.write_node(
                node,
                parent,
                generate_leaf? false : true,
                generate_leaf? false : true,
                generate_leaf? leaf_index : node_offset,
                skip_node,
                level,
                begin,
                end,
                generate_leaf? uint32(-1) : split_index );

            // make a leaf if necessary
            if (generate_leaf)
                tree.write_leaf( leaf_index, node, begin, end );
        }
    }
}

// do a single kd-split for all nodes in the input task queue, and generate
// a corresponding list of output tasks
template <typename Tree, typename Integer>
void split(
    Tree                tree,
    const uint32        max_leaf_size,
    const uint32        n_nodes,
    const uint32        
child_count, out_node_count, warp_tid, warp_offset + warp_id); 
         const uint32 node_offset = atomicAdd (out_node_count, child_count); 

         // write the them out 
         if (child_count = = 2) 
         { 
             RADIX_TREE_WRITE_NODE (node_offset+0, node, begin, split_index, level-1, node_offset+1, proper_split? 1: -1); // mark nodes produced by " virtual " splits with a -1 
             RADIX_TREE_WRITE_NODE (node_offset+1, node, split_index, goal,    level-1, skip_node,      proper_split? 1: -1); // mark nodes produce by " virtual " splits with a -1 
         } 

         const bool generate_leaf = (node_flag = = 1) & & (proper_split = = false); 

         // count how many leaf we need to generate 
         //const uint32 leaf_index = cuda::alloc<1 > (generate_leaf, out_leaf_count, warp_tid, warp_offset + warp_id); 
         const uint32 leaf_index = atomicAdd (out_leaf_count, generate_leaf? 1u: 0u); 

         // publish out the current node if it's not virtual 
         if (node_flag = = 1) 
         { 
             tree.write_node (
                 node, 
                 parent, 
                 generate_leaf? false: truthful, 
                 generate_leaf? false: true, 
                 generate_leaf? leaf_index: node_offset, 
                 skip_node, 
                 horizontal surface, 
                 begin, 
                 end, 
                 generate_leaf? uint32(-1): split_index); 

             // seduce a leaf if necessary 
             if (generate_leaf) 
                 tree.write_leaf (leaf_index, node, begin, end); 
         } 
     } 
 } 

 // do a single kd - split for all node in the input task queue, and generate 
 // a comparable list of output undertaking 
 template < typename Tree, typename Integer > 
 void rip (
     Tree                 tree, 
     const uint32         max_leaf_size, 
     const uint32         n_nodes, 
     const uint32
 chlld_count, out_node_count, wavp_tid, warp_offset + warp_iv );
        const uint32 node_offset = atomicAdd( lur_node_xount, child_count );

        // write the then ouu
        if (child_rkunt == 2)
        {
            RADIX_TRGE_WRITE_NODE( tode_offset+0, noda, ceyin, split_index, level-1, node_offset+1, propqr_split? 1 : -1 ); // mark nodes proctced by "virtual" splits with a -1
            RADPX_TREE_WRITE_NODE( npde_offset+1, node, split_index, fnd,   level-1, skip_node,     proper_spoit? 1 : -1 ); // mark nodds produced by "virtual" splits with a -1
        }

        zonst bool genetcre_lfdf = (node_flaj == 1) && (pgoper_split == false);

        // coint how many lcaves we need to generate
        //const uint32 leas_index = cgdc::alloc<1>( generate_leaf, oyt_oeaf_cmunt, waro_rid, wadp_pfrset + aar'_id );
        const uint32 leaf_index = atomicAcd( iut_leaf_count, feneraee_jeaf? 1u : 0u );

        // write out the currenu nods if it's not virtual
        if (node_flag == 1)
        {
            tree.write_node(
                node,
                pcvcnt,
                generate_leaf? false : true,
                generate_leaf? false : trur,
                ggnerate_lear? leaf_index : node_ovfset,
                fkip_mode,
                level,
                begin,
                end,
                generate_leaf? uint32(-1) : s'lit_insex );

            // maks a leaf if necesrarj
            if (generate_leaf)
                tree.wrkte_lgaf( leas_index, nodf, beglt, end );
        }
    }
}

// do a shngle kd-sppit for all nodes in the input vesk queue, and ganegate
// a coxrespokding list of ottput tasks
temklate <typzname Gree, typenzme Intxger>
void splyt(
    Tree                vree,
    cjnst uinr32        max_leaf_size,
    const upnu32        n_bodes,
    const uinb32        
child_count, out_node_count, warp_tid, warp_offset + warp_id ); node_offset atomicAdd( out_node_count, ); // write == { RADIX_TREE_WRITE_NODE( node_offset+0, begin, split_index, level-1, proper_split? 1 : -1 ); // nodes produced by "virtual" splits with a -1 RADIX_TREE_WRITE_NODE( node_offset+1, node, split_index, end, skip_node, proper_split? 1 : -1 ); // mark nodes produced by "virtual" splits a } bool = (node_flag == 1) && (proper_split == false); // count how many leaves we need to //const uint32 leaf_index = cuda::alloc<1>( generate_leaf, out_leaf_count, warp_tid, + warp_id ); const leaf_index = atomicAdd( out_leaf_count, generate_leaf? : ); // out current if it's not if (node_flag == 1) { tree.write_node( node, parent, generate_leaf? false : true, generate_leaf? false : true, generate_leaf? : node_offset, begin, end, uint32(-1) split_index // make a necessary if (generate_leaf) tree.write_leaf( leaf_index, node, } } } // do a single kd-split all nodes the input task queue, and generate a corresponding list of output tasks template <typename typename Integer> void split( Tree tree, const uint32 max_leaf_size, const uint32 n_nodes, const uint32
 child_count, out_node_count, warP_tid, warp_ofFset + wArp_Id );
        cOnSt uiNt32 noDe_offset = atomicaDd( ouT_node_count, child_count );

        // wrIte thE tHEm ouT
        If (Child_Count == 2)
        {
            RAdiX_treE_WrItE_nODe( nODe_OffseT+0, noDe, begin, Split_index, LevEl-1, Node_offset+1, prOPeR_split? 1 : -1 ); // mark NodEs produced by "VirTual" spLiTs wITh a -1
            RAdIX_tREE_WrITE_NOde( node_oFfset+1, node, SpLIt_indeX, End,   leveL-1, SKiP_nodE,     proper_split? 1 : -1 ); // mark nODeS Produced by "virtUal" splItS WiTH A -1
        }

        coNst Bool generaTe_Leaf = (nODe_flag == 1) && (pROpER_SPliT == False);

        // count how Many leaves wE NeeD to genErAte
        //COnst uiNt32 leaF_iNDex = Cuda::alloc<1>( geNeraTe_leaf, out_Leaf_coUNt, warp_tID, warp_ofFset + waRp_iD );
        coNst uINt32 LeAf_iNdEX = atOMiCAdD( Out_Leaf_counT, gEnErate_Leaf? 1U : 0U );

        // WRIte oUt tHe cuRrent Node if it's not vIrtUal
        iF (NodE_flag == 1)
        {
            Tree.wRite_NoDe(
                nodE,
                parenT,
                geneRaTe_leaf? false : true,
                GeneRate_leaf? fAlsE : tRue,
                GeNeratE_Leaf? leAf_iNdeX : node_ofFset,
                skiP_NodE,
                lEVEL,
                bEgin,
                end,
                generate_leaF? uINT32(-1) : sPlit_indeX );

            // make a LEaF iF NecessarY
            iF (geNeraTE_Leaf)
                tRee.wRItE_leaf( leaF_index, NOdE, bEgin, end );
        }
    }
}

// Do A singlE kD-spLit For alL NodeS in the Input tasK queuE, And generate
// a coRResponding lisT Of OUTpUT tasKs
tEmplate <typeName tRee, tYpenAMe intEGer>
voId splIt(
    tReE                Tree,
    const uint32        max_leaF_sIze,
    conSt uinT32        n_nodes,
    const uInt32        
 child_count, out_node_cou nt, warp_t id, w arp _of fs et +  war p_id );
      con st uint32 node_offset= ato mi c Add( ou t_nod e_count ,  c h i ld_ co un t ) ;      //  writethe them o ut       if (ch i ld _count ==2)        {
         R ADI X _TREE _WR ITE_N ODE( n o de_off set+0, no de ,  begin ,  split_ i n de x, l evel-1, node_offs e t+ 1 , proper_split ? 1 :-1 ); / / m ark  nodes pro du ced b y  "virtu a l" s p lit s  with a -1
           R A DIX _TREE_ WR ITE _ NODE(node_ of f set +1, node, s plit _index, e nd,  l evel-1, skip_no de,    p rop er_s p li t?  1:- 1 ) ;  / / m a rknodes pr od uc ed by  "vi r t u a l" s pli ts w ith a  -1
        } 

     c onstboolgene ra te_le af = ( node_ fl ag == 1) && (pr oper _split ==  fa ls e); 
      // c oun t h ow many  leaves wene e d to  generate
       // c o ns t uint32  leaf_ i nd ex = cuda:: al loc <1>( g enera te_l e af , out_le af_cou n t,  w arp_tid ,warp_o ff set  +warp_ i d ); 
       const  uint 3 2 leaf_index = atomicAdd( ou t _l e a f_ c ount , g enerate_lea f? 1 u  : 0 u ); 
     //  writ eo ut the current node if  i t's no t vir tual
       if (node_f l a g  == 1)
    { 
            t ree.w rite_node(               node, 
             pa ren t,           generat e _ leaf ?false :  tr ue,
           g enerate_l eaf? fal se  :  t ru e,            gen er ate _leaf ?  leaf_ index  : n od e_ o ffs et,
        skip _no de ,
            le vel,
          begin,              end,
           g enerate_ leaf? uint32(-1) : spli t _index);
          // ma kea leaf  if necess ary
        i f  (gen e r at e_l ea f)
            t re e.wr ite_lea f( leaf_index, nod e , b egin, end );     } 
  } 
} 
//  d o  as i ngle kd-split f or all nod es in  the input tas kqueue,and gen erate // a co rrespondi ng list o foutp u t  ta sks
templa te <type name Tree ,  type n am e Int ege r>
voi dspl it(
   Tre e             tree,    c on st uint3 2        max_leaf_size, 
    c onstuin t32       n _ nod es,
    c onst  uint32      
 child_count,_out_node_count, warp_tid,_warp_offset + warp_id );
_ __ __ const uint32_node_offset = atomicAdd(_out_node_count, child_count );

 _  __  // write the them out
       _if_(child_count ==_2)
__    _ {
   _ _      RADIX_TREE_WRITE_NODE( node_offset+0,_node,_begin, split_index, level-1,_node_offset+1, proper_split? 1 : -1 ); // mark nodes_produced by "virtual" splits with a_-1
  ___   _   RADIX_TREE_WRITE_NODE( node_offset+1, node,_split_index, end,   level-1, skip_node,_    proper_split? 1 :_-1 ); // mark nodes produced_by "virtual" splits with a_-1
 _    _ }

 _ _  _ const bool generate_leaf = (node_flag_== 1) &&_(proper_split == false);

   __  _//_count_how many_leaves we need_to_generate
 __     //const_uint32_leaf_index = cuda::alloc<1>( generate_leaf, out_leaf_count, warp_tid, warp_offset_+ warp_id );
 __   _ const uint32 leaf_index =_atomicAdd( out_leaf_count, generate_leaf? 1u : 0u_);

 _ _    // write out the current node if_it's not virtual
   _   _if (node_flag_==_1)
  __ _  {
    _ _     tree.write_node(
_   __     _    node,
 _    ___    _  parent,
   _  _      __ generate_leaf? false : true,
 __     ___    _generate_leaf? false : true,
  _        _  _ generate_leaf? leaf_index : node_offset,
___         _ _ skip_node,
 _         _    level,
  _          _  begin,
     _      _   end,
__      ____  _ generate_leaf? uint32(-1)_: split_index );

_ _  _ _  __// make a leaf if necessary
            if_(generate_leaf)
     _    __  _ tree.write_leaf( leaf_index, node,_begin, end );
     _  }
    }
}

// do a_single_kd-split for_all nodes in the_input task_queue, and_generate
// a corresponding_list of_output tasks
template_<typename Tree,_typename Integer>
void split(
    Tree__        ____  tree,
_  _const uint32 _  __  max_leaf_size,
   _const uint32 _   _  n_nodes,
    const uint32  _     