Stefan,

thanks a lot!

Your change speeds up XMark Q10 (on a 100MB sf 1.0 variant) by a second 
(4958 vs. 3828 -- measured on my laptop; compiled without optimization). 
If I only look at the times for the multi_merged_union call I can even 
see an improvement of factor 2.5 (1821 vs. 726 ms).

Jan

On 07/20/2007 11:12 PM, Stefan Manegold wrote with possible deletions:
> Update of /cvsroot/monetdb/pathfinder/runtime
> In directory sc8-pr-cvs16.sourceforge.net:/tmp/cvs-serv23220/runtime
> 
> Modified Files:
>       pf_support.mx 
> Log Message:
> 
> finally, I managed to fullfil JanR's "small wish":
> 
> replaced
> 
> PROC multi_merged_union (BAT[void, BAT] b) : BAT[void,BAT]
> 
> by
> 
> .COMMAND multi_merged_union (BAT[void, BAT] b)
>                 : BAT[void,BAT] = CMDmulti_merged_union;
> "PARAMETERS:
> BAT[void,BAT t[void,BAT c[VoID,any]]]:
> a void-headed BAT of n void-headed BATs t such that each BAT t represents a
> relational table t of m columns c, each represented by a dense-headed BAT c;
> the first column of each table must be sorted.
> DESCRIPTION: 
> Merges the n relational tables t according to the value-order as defined by 
> the
> first columns of all tables."
> 
> At a slight performance decrease with only 2 or 3 tables,
> it yields a performance gain of 25% - 63% with 4-9 tables
> (each table has 9 columns and 1000000 tuples):
> 
> #       Old      New    New-Old  (N-O)/O
> 2    289745   339914      50169   17%
> 3    719059   904862     185803   25%
> 4   1302676   955985    -346691  -26%
> 5   2023403  1082348    -941055  -46%
> 6   2922657  1359887   -1562770  -53%
> 7   3757045  1597463   -2159582  -57%
> 8   5151854  1878731   -3273123  -63%
> 9   6028759  2177258   -3851501  -63%
> 
> 
> Index: pf_support.mx
> ===================================================================
> RCS file: /cvsroot/monetdb/pathfinder/runtime/pf_support.mx,v
> retrieving revision 1.250
> retrieving revision 1.251
> diff -u -d -r1.250 -r1.251
> --- pf_support.mx     12 Jul 2007 10:23:29 -0000      1.250
> +++ pf_support.mx     20 Jul 2007 21:12:46 -0000      1.251
> @@ -133,6 +133,17 @@
>   input."
>  @)
>  
> +.COMMAND multi_merged_union (BAT[void, BAT] b)
> +             : BAT[void,BAT] = CMDmulti_merged_union;
> +"PARAMETERS:
> +BAT[void,BAT t[void,BAT c[VoID,any]]]:
> +a void-headed BAT of n void-headed BATs t such that each BAT t represents a
> +relational table t of m columns c, each represented by a dense-headed BAT c;
> +the first column of each table must be sorted.
> +DESCRIPTION: 
> +Merges the n relational tables t according to the value-order as defined by 
> the
> +first columns of all tables."
> +
>  .COMMAND ll_tokenize( BAT[void,str] strs, BAT[void,str] seps )
>               : BAT[oid,str] = CMDll_strSplit;
>  "PARAMETERS:
> @@ -5042,266 +5053,353 @@
>  }
>  
>  static int 
> -merged_union( BAT** res, int nbats, BAT **b) 
> +merged_union( BAT** res, int ntabs, int ncols, BAT ***b) 
>  {
> -     BAT *bn[MAXPARAMS>>1], *BN;
> -     BUN cur[MAXPARAMS], dst[MAXPARAMS>>1], DST;
> -     int bs[MAXPARAMS], bns[MAXPARAMS>>1], BS;
> -     size_t idx[MAXPARAMS], cnt[MAXPARAMS];
> -     int npairs = 1, i, j, k, any, b0 = -1, b1 = -1;
> -     bit concat = FALSE;
> -     chr *w = NULL;
> -     size_t sze = 0, h = 0;
> +     BAT *bn[ncols], *BN, *temp, *tmp[2], *tgt;
> +     BUN cur[ntabs][ncols], dst[ncols], DST;
> +     bte bs[ntabs][ncols], bns[ncols], BS;
> +     bit mat[ntabs];
> +     int ttpe[ncols];        /* sht / bte ? */
> +     oid hsqb[ntabs];
> +     size_t Bcnt[ntabs], inc[2];
> +     int t, c, any, non_empty[ntabs+1];
> +     bit concat01 = FALSE, concat10 = FALSE;
> +     bte *w = NULL, *ww[2], *wt, *ws[2];
> +     size_t res_count = 0, h = 0;
> +
> +     BAT *src[2];
> +     BUN csr[2];
> +     bte sze[2];
> +     size_t idx[2], cnt[2], hs[2], ht;
>       
> +     assert(ncols > 0);
> +     assert(ntabs > 1);
> +     assert(ntabs <= GDK_bte_max); /* allows to use type bte for w[] */
> +
>       *res = NULL;
>  
>       /* check arguments */
> -     ERRORcheck(BATcount(b[0])>1 && !(BATtordered(b[0])&1), "merged_union: 
> tail of first BAT must be sorted.\n");
> -     ERRORcheck(BATcount(b[1])>1 && !(BATtordered(b[1])&1), "merged_union: 
> tail of second BAT must be sorted.\n");
> -     if (nbats&1) {
> -             GDKerror("merged_union: uneven number of BATs: %d.\n", nbats);
> -             return GDK_FAIL;
> -     }
> -     npairs = nbats>>1;
> -
> -     for (i=0; i<nbats; i+=2) {
> -             bit ci, cj;
> -             j = i+1;
> -             ci = !is_fake_project(b[i]);
> -             cj = !is_fake_project(b[j]);
> -             if (ci && b0 < 0) {
> -                     b0 = i;
> -             }
> -             if (cj && b1 < 0) {
> -                     b1 = j;
> -             }
> -             if (ci && !BAThdense(b[i])) {
> -                     GDKerror("merged_union: BAT %d must have a dense 
> head.\n", i+1);
> -                     return GDK_FAIL;
> -             }
> -             if (cj && !BAThdense(b[j])) {
> -                     GDKerror("merged_union: BAT %d must have a dense 
> head.\n", j+1);
> -                     return GDK_FAIL;
> -             }
> -             if (ATOMtype(b[i]->ttype) != ATOMtype(b[j]->ttype)) {
> -                     GDKerror("merged_union: BATs %d (ttype=%d) & %d 
> (ttype=%d) must have the same tail types.\n", 
> -                                     i+1, b[i]->ttype, j+1, 
> ATOMtype(b[j]->ttype));
> -                     return GDK_FAIL;
> -             }
> -             if (ci && b0 >= 0 && b[i]->hseqbase != b[b0]->hseqbase) {
> -                     GDKerror("merged_union: BAT %d (hseqbase="OIDFMT") must 
> have the same hseqbase as BAT %d (hseqbase="OIDFMT").\n", 
> -                                     i+1, b[i]->hseqbase, b0+1, 
> b[b0]->hseqbase);
> +     for (t=0; t<ntabs; t++) {
> +             if (BATcount(b[t][0])>1 && !(BATtordered(b[t][0])&1)) {
> +                     GDKerror("merged_union: tail of first BAT/column of 
> table %d must be sorted.\n", t+1);
>                       return GDK_FAIL;
>               }
> -             if (cj && b1 >= 0 && b[j]->hseqbase != b[b1]->hseqbase) {
> -                     GDKerror("merged_union: BAT %d (hseqbase="OIDFMT") must 
> have the same hseqbase as BAT %d (hseqbase="OIDFMT").\n", 
> -                                     j+1, b[j]->hseqbase, b1+1, 
> b[b1]->hseqbase);
> -                     return GDK_FAIL;
> +     }
> +
> +     for (t=0; t<ntabs; t++) {
> +             mat[t]  = FALSE;
> +             hsqb[t] = oid_nil;
> +             Bcnt[t] = (size_t)-1;
> +     }
> +     for (c=0; c<ncols; c++) {
> +             ttpe[c] = int_nil;
> +     }
> +
> +     non_empty[ntabs] = 0;
> +     for (t=0; t<ntabs; t++) {
> +         for (c=0; c<ncols; c++) {
> +             if (ttpe[c] == int_nil || ( ttpe[c] == TYPE_oid && 
> b[t][c]->ttype == TYPE_void ) ) {
> +                     /* get column type and record whether any OID column 
> was non-materialized (VoID) */
> +                     ttpe[c] = b[t][c]->ttype;
> +             } else {
> +                     /* check column type (VoID matches with OID) */
> +                     if (ATOMtype(ttpe[c]) != ATOMtype(b[t][c]->ttype)) {
> +                             GDKerror("merged_union: BAT/column %d of table 
> %d (ttype=%d) must have the same tail type as BAT/column %d of all other 
> tables (ttype=%d).\n", 
> +                                             c+1, t+1, b[t][c]->ttype, c+1, 
> ATOMtype(ttpe[c]));
> +                             return GDK_FAIL;
> +                     }
>               }
> -             if (ci && b0 >= 0 && BATcount(b[i]) != BATcount(b[b0])) {
> -                     GDKerror("merged_union: BAT %d ("SZFMT" BUNs) must have 
> the same size as BAT %d ("SZFMT" BUNs).\n", 
> -                                     i+1, BATcount(b[i]), b0+1, 
> BATcount(b[b0]));
> -                     return GDK_FAIL;
> +             if (!is_fake_project(b[t][c])) {
> +                     mat[t] |= TRUE;
> +                     if (!BAThdense(b[t][c])) {
> +                             GDKerror("merged_union: BAT/column %d of table 
> %d must have a dense head.\n", c+1, t+1);
> +                             return GDK_FAIL;
> +                     }
> +                     if (hsqb[t] == oid_nil) {
> +                             hsqb[t] = b[t][c]->hseqbase;
> +                     } else {
> +                             if (hsqb[t] != b[t][c]->hseqbase) {
> +                                     GDKerror("merged_union: BAT/column %d 
> of table %d (hseqbase="OIDFMT") must have the same hseqbase as all other 
> BATs/columns of table %d (hseqbase="OIDFMT").\n", 
> +                                                     c+1, t+1, 
> b[t][c]->hseqbase, t+1, hsqb[t]);
> +                                     return GDK_FAIL;
> +                             }
> +                     }
> +                     if (Bcnt[t] == (size_t)-1) {
> +                             Bcnt[t] = BATcount(b[t][c]);
> +                     } else {
> +                             if (Bcnt[t] != BATcount(b[t][c])) {
> +                                     GDKerror("merged_union: BAT/column %d 
> of table %d ("SZFMT" BUNs) must have the same size as all other BATs/columns 
> of table %d ("SZFMT" BUNs).\n", 
> +                                                     c+1, t+1, 
> BATcount(b[t][c]), t+1, Bcnt[t]);
> +                                     return GDK_FAIL;
> +                             }
> +                     }
>               }
> -             if (cj && b1 >= 0 && BATcount(b[j]) != BATcount(b[b1])) {
> -                     GDKerror("merged_union: BAT %d ("SZFMT" BUNs) must have 
> the same size as BAT %d ("SZFMT" BUNs).\n", 
> -                                     j+1, BATcount(b[j]), b1+1, 
> BATcount(b[b1]));
> +         }
> +         if (!mat[t]) {
> +                     GDKerror("merged_union: at least one BAT/column of 
> table %d must be materialized, i.e., no 'fake_project'.\n", t+1);
>                       return GDK_FAIL;
> -             }
> -     }
> -     if (b0 < 0) {
> -             GDKerror("merged_union: at least one of the 'odd' BATs must be 
> materialized, i.e., no 'fake_project'.\n");
> -             return GDK_FAIL;
> -     }
> -     if (b1 < 0) {
> -             GDKerror("merged_union: at least one of the 'even' BATs must be 
> materialized, i.e., no 'fake_project'.\n");
> -             return GDK_FAIL;
> +         }
> +         res_count += Bcnt[t];
> +         non_empty[non_empty[ntabs]] = t;
> +         non_empty[ntabs] += (Bcnt[t] > 0);
>       }
>  
>       /* create result BATs */
>  
> -     sze = BATcount(b[b0]) + BATcount(b[b1]);
> -     BN = BATnew(TYPE_void, TYPE_bat, npairs);
> +     BN = BATnew(TYPE_void, TYPE_bat, ncols);
>       if (BN == NULL) {
> -             GDKerror("merged_union: BATnew(TYPE_void, TYPE_bat, %d) 
> failed.\n", npairs);
> +             GDKerror("merged_union: BATnew(TYPE_void, TYPE_bat, %d) 
> failed.\n", ncols);
>               return GDK_FAIL;
>       }
> -     for (k=0; k<npairs; k++) {
> -             i = k<<1;
> -             bn[k] = BATnew(TYPE_void, ATOMtype(b[i]->ttype), sze);
> -             if (bn[k] == NULL) {
> -                     GDKerror("merged_union: BATnew(TYPE_void, %s, " SZFMT 
> ") failed.\n", ATOMname(ATOMtype(b[i]->ttype)), sze);
> -                     while (k>0) {
> -                             BBPreclaim(bn[--k]);
> +     temp = BATnew(TYPE_void, ATOMtype(ttpe[0]), res_count);
> +     if (temp == NULL) {
> +             GDKerror("merged_union: BATnew(TYPE_void, %s, " SZFMT ") 
> failed.\n", ATOMname(ATOMtype(ttpe[0])), res_count);
> +             BBPreclaim(BN);
> +             return GDK_FAIL;
> +     }
> +     for (c=0; c<ncols; c++) {
> +             bn[c] = BATnew(TYPE_void, ATOMtype(ttpe[c]), res_count);
> +             if (bn[c] == NULL) {
> +                     GDKerror("merged_union: BATnew(TYPE_void, %s, " SZFMT 
> ") failed.\n", ATOMname(ATOMtype(ttpe[c])), res_count);
> +                     while (c>0) {
> +                             BBPreclaim(bn[--c]);
>                       }
> +                     BBPreclaim(temp);
>                       BBPreclaim(BN);
>                       return GDK_FAIL;
>               }
>       }
> -     if (sze > 0) {
> -             w = (chr*)GDKmalloc(sze);
> -             if (w == NULL) {
> -                     GDKerror("merged_union: GDKmalloc(" SZFMT ") 
> failed.\n", sze);
> -                     goto cleanup;
> -             }
> +     w = (bte*)GDKmalloc(2*res_count + 1);
> +     if (w == NULL) {
> +             GDKerror("merged_union: GDKmalloc(" SZFMT ") failed.\n", 
> 2*res_count + 1);
> +             goto cleanup;
>       }
>  
>       /* do the merged_union */
>  
> -     for (k=0; k<npairs; k++) {
> -             bns[k] = BUNsize(bn[k]);
> -             dst[k] = BUNlast(bn[k]);
> +     for (c=0; c<ncols; c++) {
> +             bns[c] = (bte)BUNsize(bn[c]);
> +             dst[c] = BUNlast(bn[c]);
>       }
> -     for (i=0; i<nbats; i++) {
> -             if (is_fake_project(b[i])) {
> -                     bs[i] = 0;
> -             } else {
> -                     bs[i] = BUNsize(b[i]);
> -             }
> -             cur[i] = BUNfirst(b[i]);
> -             idx[i] = 0;
> -             if (i&1) {
> -                     cnt[i] = BATcount(b[b1]);
> +     for (t=0; t<ntabs; t++) {
> +         for (c=0; c<ncols; c++) {
> +             if (is_fake_project(b[t][c])) {
> +                     bs[t][c] = (bte)0;
>               } else {
> -                     cnt[i] = BATcount(b[b0]);
> +                     bs[t][c] = (bte)BUNsize(b[t][c]);
>               }
> +             cur[t][c] = BUNfirst(b[t][c]);
> +         }
>       }
> +@
>  @= merged_union_0
> -     /*  @1: ATOMstorage([EMAIL PROTECTED]>ttype) (chr, sht, int, flt, lng, 
> dbl, [EMAIL PROTECTED]>ttype)
> +     /*  @1: ATOMstorage(ttpe[0]) (chr, bte, sht, int, flt, lng, dbl, 
> any=ttpe[0])
>        *  @2: tloc, tvar, tail
> -      *  @3: 0, 1
> -      *  @5: tail value comparison,
> -             e.g.,   simple_LE([EMAIL PROTECTED](b[0],cur[0]), [EMAIL 
> PROTECTED](b[1],cur[1]), @1)
> -             or      atom_GT([EMAIL PROTECTED](b[0],cur[0]), [EMAIL 
> PROTECTED](b[1],cur[1]), @1)
> +      *  @3: 0 1
> +      *  @4: tail value comparison,
> +             e.g.,   simple_LE([EMAIL PROTECTED](src[0],csr[0]), [EMAIL 
> PROTECTED](src[1],csr[1]), @1)
> +             or        atom_GT([EMAIL PROTECTED](src[0],csr[0]), [EMAIL 
> PROTECTED](src[1],csr[1]), @1)
>        */
>       /* copy tails from BAT @3 to the results; 
>          for each BUN, remember in w, whether it came from BAT 0 or BAT 1 */
>       while (([EMAIL PROTECTED] < [EMAIL PROTECTED]) && (@4)) {
> -             [EMAIL PROTECTED](bn[0],dst[0],0,[EMAIL PROTECTED]([EMAIL 
> PROTECTED],[EMAIL PROTECTED]));
> +             [EMAIL PROTECTED](tgt,dst[0],0,[EMAIL PROTECTED]([EMAIL 
> PROTECTED],[EMAIL PROTECTED]));
> +             wt[ht] = [EMAIL PROTECTED]@3]];
>               [EMAIL PROTECTED];
> -             [EMAIL PROTECTED] += [EMAIL PROTECTED];
> +             [EMAIL PROTECTED] += [EMAIL PROTECTED];
>               dst[0] += bns[0];
> -             w[h++] = (chr)@3;
> +             [EMAIL PROTECTED] += [EMAIL PROTECTED];
> +             ht++;
>       }
> +
> +     /* sucessively pair-wise merge-union the first BAT/column of all tables 
> */
> +@
>  @= merged_union_1
> -     /*  @1: ATOMstorage(b[0]->ttype) (chr, sht, int, flt, lng, dbl, 
> any=b[0]->ttype)
> +     /*  @1: ATOMstorage(ttpe[0]) (chr, bte, sht, int, flt, lng, dbl, 
> any=ttpe[0])
>        *  @2: tloc, tvar, tail (for BAT 0)
>        *  @3: tloc, tvar, tail (for BAT 1)
>        *  @4: simple, atom
>        */
> -     /* merge-union the first two BATs; regard and preserve tail-order */
> -     h = 0;
> -     concat = (BATcount(b[0])==0 || BATcount(b[1])==0);
> -     if (!concat) {
> -             concat = ( BATtordered(b[0])&BATtordered(b[1])&1 && \
> -                        @4_LE([EMAIL 
> PROTECTED](b[0],BUNlast(b[0])-BUNsize(b[0])),[EMAIL 
> PROTECTED](b[1],cur[1]),@1) );
> +     /* merge-union the first BATs/columns; regard and preserve tail-order */
> +     concat01 = (cnt[0]==0 || cnt[1]==0);
> +     concat10 = FALSE;
> +     if (BATtordered(src[0])&BATtordered(src[1])&1 || (BATtordered(src[0])&1 
> && cnt[1]==1) || (cnt[0]==1 && BATtordered(src[1])&1) ) {
> +             if (!concat01) {
> +                     concat01 = @4_LE([EMAIL 
> PROTECTED](src[0],BUNlast(src[0])-BUNsize(src[0])),[EMAIL 
> PROTECTED](src[1],csr[1]),@1);
> +             }
> +             if (!concat01) {
> +                     concat10 = @4_LT([EMAIL 
> PROTECTED](src[1],BUNlast(src[1])-BUNsize(src[1])),[EMAIL 
> PROTECTED](src[0],csr[0]),@1);
> +             }
>       }
> -     if (!concat) {
> +     if (!concat01 && !concat10) {
>               while ((idx[0] < cnt[0]) && (idx[1] < cnt[1])) {
> -                     @:merged_union_0(@1,@2,0,@4_LE([EMAIL 
> PROTECTED](b[0],cur[0]),[EMAIL PROTECTED](b[1],cur[1]),@1))@
> +                     @:merged_union_0(@1,@2,0,@4_LE([EMAIL 
> PROTECTED](src[0],csr[0]),[EMAIL PROTECTED](src[1],csr[1]),@1))@
>                       if (idx[0] < cnt[0]) {
> -                             @:merged_union_0(@1,@3,1,@4_GT([EMAIL 
> PROTECTED](b[0],cur[0]),[EMAIL PROTECTED](b[1],cur[1]),@1))@
> +                             @:merged_union_0(@1,@3,1,@4_GT([EMAIL 
> PROTECTED](src[0],csr[0]),[EMAIL PROTECTED](src[1],csr[1]),@1))@
>                       }
>               }
>       }
>       /* get remaining BUNs */
> -     @:merged_union_0(@1,@2,0,TRUE)@
> +     if (!concat10) {
> +             @:merged_union_0(@1,@2,0,TRUE)@
> +     }
>       @:merged_union_0(@1,@3,1,TRUE)@
> +     @:merged_union_0(@1,@2,0,TRUE)@
> +@
>  @= merged_union_2
> -     /*  @1: ATOMstorage(b[0]->ttype) (chr, sht, int, flt, lng, dbl, 
> any=b[0]->ttype)
> +     /*  @1: ATOMstorage(ttpe[0]) (chr, bte, sht, int, flt, lng, dbl, 
> any=ttpe[0])
>        *  @2: tloc, tvar, tail (for BAT 0)
>        *  @3: simple, atom
>        */
>       @:merged_union_1(@1,@2,@2,@3)@
>       break;
> +@
>  @= merged_union_3
> -     /*  @1: ATOMstorage([EMAIL PROTECTED]>ttype) (chr, sht, int, flt, lng, 
> dbl, any=b[0]->ttype)
> -      *  @2: tloc, tvar, tail
> -      */
> -     /* merge-union each of the remaining BAT-pairs; 
> -        w tell us, from which BAT we need to get the next BUN */
> -     for (h=0; h<sze; h++) {
> -             j = i + (int)w[h];
> -             [EMAIL PROTECTED](bn[k],dst[k],0,[EMAIL 
> PROTECTED](b[j],cur[j]));
> -             idx[j]++;
> -             cur[j] += bs[j];
> -             dst[k] += bns[k];
> -     }
> [EMAIL PROTECTED] merged_union_4
> -     /*  @1: ATOMstorage([EMAIL PROTECTED]>ttype) (chr, sht, int, flt, lng, 
> dbl, any=b[0]->ttype)
> -      *  @2: tloc, tvar, tail
> -      */
> -     @:merged_union_3(@1,@2)@
> -     break;
> [EMAIL PROTECTED]
> -     /* merge-union the first two BATs */
> +             sze[0] = BUNsize(src[0]);
> +             sze[1] = BUNsize(src[1]);
> +             csr[0] = BUNfirst(src[0]);
> +             csr[1] = BUNfirst(src[1]);
> +             cnt[0] = BATcount(src[0]);
> +             cnt[1] = BATcount(src[1]);
> +             dst[0] = BUNfirst(tgt);
> +             idx[0] = idx[1] = 0;
> +             hs[0] = hs[1] = ht = 0;
> +             
>  /* HACK(?): compare [v]oid (unsigned) as int/lng (signed) to get nil's 
> first... */
>  #if SIZEOF_OID == SIZEOF_INT
> -     if (b[0]->ttype==TYPE_void && b[1]->ttype==TYPE_void) {
> -             @:merged_union_1(int,tvar,tvar,simple)@
> -     } else if (b[0]->ttype==TYPE_void && b[1]->ttype==TYPE_oid) {
> -             @:merged_union_1(int,tvar,tloc,simple)@
> -     } else if (b[0]->ttype==TYPE_oid && b[1]->ttype==TYPE_void) {
> -             @:merged_union_1(int,tloc,tvar,simple)@
> -     } else if (b[0]->ttype==TYPE_oid && b[1]->ttype==TYPE_oid) {
> -             @:merged_union_1(int,tloc,tloc,simple)@
> +             if (src[0]->ttype==TYPE_void && src[1]->ttype==TYPE_void) {
> +                     @:merged_union_1(int,tvar,tvar,simple)@
> +             } else if (src[0]->ttype==TYPE_void && src[1]->ttype==TYPE_oid) 
> {
> +                     @:merged_union_1(int,tvar,tloc,simple)@
> +             } else if (src[0]->ttype==TYPE_oid && src[1]->ttype==TYPE_void) 
> {
> +                     @:merged_union_1(int,tloc,tvar,simple)@
> +             } else if (src[0]->ttype==TYPE_oid && src[1]->ttype==TYPE_oid) {
> +                     @:merged_union_1(int,tloc,tloc,simple)@
>  #else
> -     if (b[0]->ttype==TYPE_void && b[1]->ttype==TYPE_void) {
> -             @:merged_union_1(lng,tvar,tvar,simple)@
> -     } else if (b[0]->ttype==TYPE_void && b[1]->ttype==TYPE_oid) {
> -             @:merged_union_1(lng,tvar,tloc,simple)@
> -     } else if (b[0]->ttype==TYPE_oid && b[1]->ttype==TYPE_void) {
> -             @:merged_union_1(lng,tloc,tvar,simple)@
> -     } else if (b[0]->ttype==TYPE_oid && b[1]->ttype==TYPE_oid) {
> -             @:merged_union_1(lng,tloc,tloc,simple)@
> +             if (src[0]->ttype==TYPE_void && src[1]->ttype==TYPE_void) {
> +                     @:merged_union_1(lng,tvar,tvar,simple)@
> +             } else if (src[0]->ttype==TYPE_void && src[1]->ttype==TYPE_oid) 
> {
> +                     @:merged_union_1(lng,tvar,tloc,simple)@
> +             } else if (src[0]->ttype==TYPE_oid && src[1]->ttype==TYPE_void) 
> {
> +                     @:merged_union_1(lng,tloc,tvar,simple)@
> +             } else if (src[0]->ttype==TYPE_oid && src[1]->ttype==TYPE_oid) {
> +                     @:merged_union_1(lng,tloc,tloc,simple)@
>  #endif
> -     } else {
> -             any = b[0]->ttype;
> -             switch(ATOMstorage(b[0]->ttype)) {
> -             case TYPE_chr:  @:merged_union_2(chr,tloc,simple)@
> -             case TYPE_sht:  @:merged_union_2(sht,tloc,simple)@
> -             case TYPE_int:  @:merged_union_2(int,tloc,simple)@
> -             case TYPE_flt:  @:merged_union_2(flt,tloc,simple)@
> -             case TYPE_lng:  @:merged_union_2(lng,tloc,simple)@
> -             case TYPE_dbl:  @:merged_union_2(dbl,tloc,simple)@
> -             default:
> -                     if (b[0]->tvarsized) {
> -                             @:merged_union_2(any,tvar,atom)@
> -                     } else {
> -                             @:merged_union_2(any,tloc,atom)@
> +             } else {
> +                     any = src[0]->ttype;
> +                     switch(ATOMstorage(any)) {
> +                     case TYPE_chr:  @:merged_union_2(chr,tloc,simple)@
> +                     case TYPE_bte:  @:merged_union_2(bte,tloc,simple)@
> +                     case TYPE_sht:  @:merged_union_2(sht,tloc,simple)@
> +                     case TYPE_int:  @:merged_union_2(int,tloc,simple)@
> +                     case TYPE_flt:  @:merged_union_2(flt,tloc,simple)@
> +                     case TYPE_lng:  @:merged_union_2(lng,tloc,simple)@
> +                     case TYPE_dbl:  @:merged_union_2(dbl,tloc,simple)@
> +                     default:
> +                             if (src[0]->tvarsized) {
> +                                     @:merged_union_2(any,tvar,atom)@
> +                             } else {
> +                                     @:merged_union_2(any,tloc,atom)@
> +                             }
>                       }
>               }
> +             
> +             tgt->batBuns->free = dst[0] - tgt->batBuns->base;
> +             BATsetcount(tgt, tgt->batBuns->free/bns[0]);
> +             if (!tgt->batDirty) tgt->batDirty = TRUE;
> +             BATkey(BATmirror(tgt),FALSE);
> +             tgt->tsorted = GDK_SORTED;
> +             tgt->tdense = FALSE;
> +@
> [EMAIL PROTECTED]
> +     tgt = bn[0];
> +     wt = w;
> +     ws[0] = w + res_count;
> +     ws[1] = w + res_count + 1;
> +     inc[0] = inc [1] = 0;
> +
> +     if (non_empty[ntabs] == 1) {
> +             src[0] = b[non_empty[0]][0];
> +             src[1] = b[non_empty[0] == 0][0];
> +             ws[0][0] = non_empty[0];
> +             ws[1][0] = (non_empty[0] == 0);
> +
> +             @:merged_union_3@
> +     } else
> +       if (non_empty[ntabs] == 2) {
> +             src[0] = b[non_empty[0]][0];
> +             src[1] = b[non_empty[1]][0];
> +             ws[0][0] = non_empty[0];
> +             ws[1][0] = non_empty[1];
> +
> +             @:merged_union_3@
> +     } else {
> +             t = ntabs - 1;
> +             tmp[0] = bn[0];
> +             tmp[1] = temp;
> +             ww[0] = w;
> +             ww[1] = ws[1];
> +             wt = ww[t&1];
> +             wt[0] = t;
> +             tgt = b[t--][0];
> +             for (; t >= 0; t--) {
> +                     src[0] = b[t][0];
> +                     src[1] = tgt;
> +                     tgt = tmp[t&1];
> +                     ws[0][0] = t;
> +                     ws[1] = wt;
> +                     wt = ww[t&1];
> +
> +                     @:merged_union_3@
> +
> +                     inc[1] = 1;
> +             }
>       }
> -     /* merge-union each of the remaining BAT-pairs */
> -     for (k=1; k<npairs; k++) {
> -             i = (k<<1);
> -             j = i+1;
> -/* HACK(?): compare [v]oid (unsigned) at int/lng (signed) to get nil's 
> first... */
> -#if SIZEOF_OID == SIZEOF_INT
> -             if (b[i]->ttype==TYPE_void || b[j]->ttype==TYPE_void) {
> -                     @:merged_union_3(int,tail,simple)@
> -             } else if (b[i]->ttype==TYPE_oid && b[j]->ttype==TYPE_oid) {
> -                     @:merged_union_3(int,tloc,simple)@
> -#else
> -             if (b[i]->ttype==TYPE_void || b[j]->ttype==TYPE_void) {
> -                     @:merged_union_3(lng,tail,simple)@
> -             } else if (b[i]->ttype==TYPE_oid && b[j]->ttype==TYPE_oid) {
> -                     @:merged_union_3(lng,tloc,simple)@
> -#endif
> +
> +     /* merge-union the remaining BATs/columns of all tables */
> +@
> [EMAIL PROTECTED] merged_union_4
> +     /*  @1: ATOMstorage(ttpe[c]) (chr, bte, sht, int, flt, lng, dbl, any)
> +      *  @2: tloc, tvar, tail
> +      */
> +     /* merge-union the remaining BATs/columns of all tables:
> +        w tell us, from which table we need to get the next BUN */
> +     for (h=0; h<res_count; h++) {
> +             t = w[h];
> +             [EMAIL PROTECTED](bn[c],dst[c],0,[EMAIL 
> PROTECTED](b[t][c],cur[t][c]));
> +             cur[t][c] += bs[t][c];
> +             dst[c] += bns[c];
> +     }
> +@
> [EMAIL PROTECTED] merged_union_5
> +     /*  @1: ATOMstorage(ttpe[c]) (chr, bte, sht, int, flt, lng, dbl, any)
> +      *  @2: tloc, tvar, tail
> +      */
> +     @:merged_union_4(@1,@2)@
> +     break;
> +@
> [EMAIL PROTECTED]
> +     for (c=1; c<ncols; c++) {
> +             if (ttpe[c]==TYPE_void) {
> +                     /* at least one OID column is non-materialized (VoID) */
> +                     @:merged_union_4(oid,tail)@
> +             } else if (ttpe[c]==TYPE_oid) {
> +                     /* all OID columns are materialized */
> +                     @:merged_union_4(oid,tloc)@
>               } else {
> -                     any = b[i]->ttype;
> -                     switch(ATOMstorage(b[i]->ttype)) {
> -                     case TYPE_chr:  @:merged_union_4(chr,tloc)@
> -                     case TYPE_sht:  @:merged_union_4(sht,tloc)@
> -                     case TYPE_int:  @:merged_union_4(int,tloc)@
> -                     case TYPE_flt:  @:merged_union_4(flt,tloc)@
> -                     case TYPE_lng:  @:merged_union_4(lng,tloc)@
> -                     case TYPE_dbl:  @:merged_union_4(dbl,tloc)@
> +                     switch(ATOMstorage(ttpe[c])) {
> +                     case TYPE_chr:  @:merged_union_5(chr,tloc)@
> +                     case TYPE_bte:  @:merged_union_5(bte,tloc)@
> +                     case TYPE_sht:  @:merged_union_5(sht,tloc)@
> +                     case TYPE_int:  @:merged_union_5(int,tloc)@
> +                     case TYPE_flt:  @:merged_union_5(flt,tloc)@
> +                     case TYPE_lng:  @:merged_union_5(lng,tloc)@
> +                     case TYPE_dbl:  @:merged_union_5(dbl,tloc)@
>                       default:
> -                             if (b[i]->tvarsized) {
> -                                     @:merged_union_4(any,tvar)@
> +                             if (b[0][c]->tvarsized) {
> +                                     @:merged_union_5(any,tvar)@
>                               } else {
> -                                     @:merged_union_4(any,tloc)@
> +                                     @:merged_union_5(any,tloc)@
>                               }
>                       }
>               }
> @@ -5309,42 +5407,59 @@
>  
>       /* set BAT properties */
>  
> -     for (k=0; k<npairs; k++) {
> -             BAT *b0 = b[2*k], *b1 = b[(2*k)+1];
> -             BATseqbase(bn[k], (oid)0);
> -             bn[k]->batBuns->free = dst[k] - bn[k]->batBuns->base;
> -             BATsetcount(bn[k], bn[k]->batBuns->free/BUNsize(bn[k]));
> -             if (!bn[k]->batDirty) bn[k]->batDirty = TRUE;
> -             BATkey(bn[k],TRUE);
> -             BATkey(BATmirror(bn[k]),FALSE);
> -             bn[k]->hsorted = GDK_SORTED;
> -             if (k==0 || (BATcount(b0)==0 && BATcount(b1)==0)) {
> -                     bn[k]->tsorted = GDK_SORTED;
> +@(
> +     /* not required as concat01 & concat10 are inherited from above */
> +     if (non_empty[ntabs] == 2) {
> +             BAT *b0 = b[non_empty[0]][0];
> +             BAT *b1 = b[non_empty[1]][0];
> +             concat01 = concat10 = FALSE;
> +             if (BATtordered(b0)&BATtordered(b1)&1 || (BATtordered(b0)&1 && 
> BATcount(b1)==1) || (BATcount(b0)==1 && BATtordered(b1)&1) ) {
> +                     concat01 = 
> atom_LE(BUNtail(b0,BUNlast(b0)-BUNsize(b0)),BUNtail(b1,BUNfirst(b1)),ATOMstorage(ATOMtype(ttpe[0])));
> +                     concat10 = !concat01 && \
> +                                
> atom_LT(BUNtail(b1,BUNlast(b1)-BUNsize(b1)),BUNtail(b0,BUNfirst(b0)),ATOMstorage(ATOMtype(ttpe[0])));
> +             }
> +     }
> +@)
> +     for (c=0; c<ncols; c++) {
> +             BATseqbase(bn[c], (oid)0);
> +             bn[c]->batBuns->free = dst[c] - bn[c]->batBuns->base;
> +             BATsetcount(bn[c], bn[c]->batBuns->free/bns[c]);
> +             assert(BATcount(bn[c]) == res_count);
> +             if (!bn[c]->batDirty) bn[c]->batDirty = TRUE;
> +             BATkey(bn[c],TRUE);
> +             BATkey(BATmirror(bn[c]),(res_count < 2));
> +             bn[c]->hsorted = GDK_SORTED;
> +             if (c == 0 || res_count < 2) {
> +                     bn[c]->tsorted = GDK_SORTED;
>               } else
> -               if (BATcount(b0)==0) {
> -                     bn[k]->tsorted = (BATtordered(b1)&1 ? GDK_SORTED : 
> FALSE);
> +               if (non_empty[ntabs] == 1) {
> +                     bn[c]->tsorted = (BATtordered(b[non_empty[0]][c])&1 ? 
> GDK_SORTED : FALSE);
>               } else
> -               if (BATcount(b1)==0) {
> -                     bn[k]->tsorted = (BATtordered(b0)&1 ? GDK_SORTED : 
> FALSE);
> +               if (non_empty[ntabs] == 2) {
> +                     BAT *b0 = b[non_empty[0]][c];
> +                     BAT *b1 = b[non_empty[1]][c];
> +                     if ( ( BATtordered(b0)&BATtordered(b1)&1 || 
> (BATtordered(b0)&1 && BATcount(b1)==1) || (BATcount(b0)==1 && 
> BATtordered(b1)&1) ) && \
> +                          ( ( concat01 && 
> atom_LE(BUNtail(b0,BUNlast(b0)-BUNsize(b0)),BUNtail(b1,BUNfirst(b1)),ATOMstorage(ATOMtype(ttpe[c])))
>  ) || \
> +                            ( concat10 && 
> atom_LE(BUNtail(b1,BUNlast(b1)-BUNsize(b1)),BUNtail(b0,BUNfirst(b0)),ATOMstorage(ATOMtype(ttpe[c])))
>  ) ) ) {
> +                             bn[c]->tsorted = GDK_SORTED;
> +                     } else {
> +                             bn[c]->tsorted = FALSE;
> +                     }
>               } else {
> -                     bn[k]->tsorted = ( ( concat && \
> -                                          BATtordered(b0)&BATtordered(b1)&1 
> && \
> -                                          
> atom_LE(BUNtail(b0,BUNlast(b0)-BUNsize(b0)),BUNtail(b1,BUNfirst(b1)),b0->ttype)
>  ) \
> -                                       ? GDK_SORTED \
> -                                       : FALSE );
> +                     bn[c]->tsorted = FALSE;
>               }
> -             bn[k]->hdense = TRUE;
> -             bn[k]->tdense = FALSE;
> +             bn[c]->hdense = TRUE;
> +             bn[c]->tdense = FALSE;
>       }
>  
>       /* insert bn[] BATs in BN BAT */
>  
>       DST = BUNlast(BN);
> -     BS = BUNsize(BN);
> +     BS = (bte)BUNsize(BN);
>       BATseqbase(BN, (oid)0);
> -     for (k=0; k<npairs; k++) {
> -             voidany_bunfastins_nocheck_noinc(BN,DST,0,&bn[k]->batCacheid);
> -             BBPunfix(bn[k]->batCacheid);
> +     for (c=0; c<ncols; c++) {
> +             voidany_bunfastins_nocheck_noinc(BN,DST,0,&bn[c]->batCacheid);
> +             BBPunfix(bn[c]->batCacheid);
>               DST += BS;
>       }
>       BN->batBuns->free = DST - BN->batBuns->base;
> @@ -5360,34 +5475,67 @@
>       *res = BN;
>  
>       GDKfree(w);
> +     BBPreclaim(temp);
>  
>       return GDK_SUCCEED;
>  bunins_failed:
>       GDKerror("merged_union: bunins failed.\n");
>  cleanup:
>       BBPreclaim(BN);
> -     for (k=0; k<npairs; k++) {
> -             BBPreclaim(bn[k]);
> +     BBPreclaim(temp);
> +     for (c=0; c<ncols; c++) {
> +             BBPreclaim(bn[c]);
>       }
>       return GDK_FAIL;
>  }
>  
>  int CMDmerged_union( BAT** res, ptr L, int ltpe, ptr R, int rtpe, ... )
>  {
> -     int i, tpe, nbats = 0, ret = GDK_SUCCEED;
> -     BAT *b[MAXPARAMS];
> +     int tpe, nbats, t, ntabs = 2, ncols, ret = GDK_SUCCEED;
> +     BAT ***b;
>       va_list ap;
>          ptr p;
>  
> +     nbats = 2;
> +     va_start(ap,rtpe);
> +     while((p = va_arg(ap, ptr)) != NULL) {
> +                tpe = va_arg(ap, int);
> +             nbats++;
> +     }
> +     va_end(ap);
> +     if (nbats&1) {
> +             GDKerror("merged_union: uneven number of BATs: %d.\n", nbats);
> +             return GDK_FAIL;
> +     }
> +     ncols = nbats>>1;
> +
> +     b = (BAT***)GDKmalloc(ntabs*sizeof(BAT**));
> +     if (b == NULL) {
> +             GDKerror("merged_union: GDKmalloc(" SZFMT ") failed.\n", 
> ntabs*sizeof(BAT**));
> +             return GDK_FAIL;
> +     }
> +     for (t=0; t<ntabs; t++) {
> +             b[t] = (BAT**)GDKmalloc(ncols*sizeof(BAT*));
> +             if (b[t] == NULL) {
> +                     GDKerror("merged_union: GDKmalloc(" SZFMT ") 
> failed.\n", ncols*sizeof(BAT*));
> +                     while (t>0) {
> +                             GDKfree(b[--t]);
> +                     }
> +                     GDKfree(b);
> +                     return GDK_FAIL;
> +             }
> +     }
> +
> +     nbats = 0;
>       /* first convert any constant parameters to fake projects */
> -     if (CMDfakeProject(b+nbats, L, ltpe) == GDK_SUCCEED) {
> +     if (CMDfakeProject(&b[nbats&1][nbats>>1], L, ltpe) == GDK_SUCCEED) {
>               nbats++;
> -             if (CMDfakeProject(b+nbats, R, rtpe) == GDK_SUCCEED) {
> +             if (CMDfakeProject(&b[nbats&1][nbats>>1], R, rtpe) == 
> GDK_SUCCEED) {
>                       nbats++;
>                       va_start(ap,rtpe);
>                       while((p = va_arg(ap, ptr)) != NULL) {
>                               tpe = va_arg(ap, int);
> -                             if (CMDfakeProject(b+nbats, p, tpe) == 
> GDK_SUCCEED) {
> +                             if (CMDfakeProject(&b[nbats&1][nbats>>1], p, 
> tpe) == GDK_SUCCEED) {
>                                       nbats++;
>                               } else {
>                                       ret = GDK_FAIL;
> @@ -5398,11 +5546,104 @@
>               }
>       }
>       if (ret == GDK_SUCCEED) {
> -             ret = merged_union(res, nbats, b);
> +             ret = merged_union(res, ntabs, ncols, b);
>       }
> +
>       /* unfix all bats; this destroys any created fake projects */
> -     for(i=0; i<nbats; i++) 
> -             BBPunfix(b[i]->batCacheid);
> +     while (--nbats >= 0) {
> +             BBPunfix(b[nbats&1][nbats>>1]->batCacheid);
> +     }
> +     for(t=0; t<ntabs; t++) {
> +             GDKfree(b[t]);
> +     }
> +     GDKfree(b);
> +     return ret;
> +}
> +
> +int CMDmulti_merged_union( BAT** res, BAT *Bt)
> +{
> +     int t, ntabs, c, ncols = 0, ret = GDK_SUCCEED;
> +     BAT **Bc, ***b;
> +
> +     BATcheck(Bt, "multi_merged_union");
> +
> +     if (Bt->ttype != TYPE_bat) {
> +             GDKerror("multi_merged_union: tail-type must be BAT, not 
> %s.\n", ATOMname(Bt->ttype));
> +             return GDK_FAIL;
> +     }
> +
> +     if ((ntabs = BATcount(Bt)) < 2) {
> +             GDKerror("multi_merged_union: input must contain at least 2 
> tables/BUNs.\n");
> +             return GDK_FAIL;
> +     }
> +
> +     Bc = (BAT**)GDKmalloc(ntabs*sizeof(BAT*));
> +     if (Bc == NULL) {
> +             GDKerror("multi_merged_union: GDKmalloc(" SZFMT ") failed.\n", 
> ntabs*sizeof(BAT*));
> +             return GDK_FAIL;
> +     }
> +
> +     for (t=0; t<ntabs; t++) {
> +             Bc[t] = BATdescriptor(*(bat*)BUNtloc(Bt, BUNptr(Bt,t)));
> +             if (Bc[t]->ttype != TYPE_bat) {
> +                     GDKerror("multi_merged_union: tail-type of BAT holding 
> table %d must be BAT, not %s.\n", t+1, ATOMname(Bc[t]->ttype));
> +                     ret = GDK_FAIL;
> +             } else if (t == 0) {
> +                     assert(BATcount(Bc[t]) <= (size_t)GDK_int_max);
> +                     if ((ncols = (int)BATcount(Bc[t])) < 1) {
> +                             GDKerror("multi_merged_union: first table must 
> consist of at least 1 column.\n");
> +                             ret = GDK_FAIL;
> +                     }
> +             } else if (ncols != (int)BATcount(Bc[t])) {
> +                     GDKerror("multi_merged_union: table %d (%d columns) 
> must have as many columns as all other tables (%d columns).\n",
> +                               t+1, (int)BATcount(Bc[t]), ncols);
> +                     ret = GDK_FAIL;
> +             }
> +             if (ret == GDK_FAIL) {
> +                     while (t >= 0) {
> +                             BBPunfix(Bc[t--]->batCacheid);
> +                     }
> +                     GDKfree(Bc);
> +                     return GDK_FAIL;
> +             }
> +     }
> +
> +     b = (BAT***)GDKmalloc(ntabs*sizeof(BAT**));
> +     if (b == NULL) {
> +             GDKerror("multi_merged_union: GDKmalloc(" SZFMT ") failed.\n", 
> ntabs*sizeof(BAT**));
> +             for (t=0; t<ntabs; t++) BBPunfix(Bc[t]->batCacheid);
> +             GDKfree(Bc);
> +             return GDK_FAIL;
> +     }
> +     for (t=0; t<ntabs; t++) {
> +             b[t] = (BAT**)GDKmalloc(ncols*sizeof(BAT*));
> +             if (b[t] == NULL) {
> +                     GDKerror("multi_merged_union: GDKmalloc(" SZFMT ") 
> failed.\n", ncols*sizeof(BAT*));
> +                     while (t>0) {
> +                             GDKfree(b[--t]);
> +                     }
> +                     GDKfree(b);
> +                     for (t=0; t<ntabs; t++) BBPunfix(Bc[t]->batCacheid);
> +                     GDKfree(Bc);
> +                     return GDK_FAIL;
> +             }
> +     }
> +
> +     for (t=0; t<ntabs; t++) {
> +             for (c=0; c<ncols; c++) {
> +                     b[t][c] = BATdescriptor(*(bat*)BUNtloc(Bc[t], 
> BUNptr(Bc[t],c)));
> +             }
> +             BBPunfix(Bc[t]->batCacheid);
> +     }
> +     GDKfree(Bc);
> +
> +     ret = merged_union(res, ntabs, ncols, b);
> +
> +     for (t=0; t<ntabs; t++) {
> +             for (c=0; c<ncols; c++) {
> +                     BBPunfix(b[t][c]->batCacheid);
> +             }
> +     }
>       return ret;
>  }
>  
> @@ -7561,33 +7802,6 @@
>      return newProp;
>  }
>  
> -PROC multi_merged_union (BAT[void, BAT] b) : BAT[void,BAT]
> -{
> -    var res := b.fetch(0);
> -
> -    b.slice(1,count(b))@batloop() {
> -        var iter     := res.fetch(0);
> -        var pre      := res.fetch(1);
> -        var size     := res.fetch(2);
> -        var level    := res.fetch(3);
> -        var kind     := res.fetch(4);
> -        var prop     := res.fetch(5);
> -        var cont     := res.fetch(6);
> -        var old_pre  := res.fetch(7);
> -        var old_cont := res.fetch(8);
> -        res := merged_union (iter,     $t.fetch(0),
> -                             pre,      $t.fetch(1), 
> -                             size,     $t.fetch(2), 
> -                             level,    $t.fetch(3), 
> -                             kind,     $t.fetch(4), 
> -                             prop,     $t.fetch(5), 
> -                             cont,     $t.fetch(6), 
> -                             old_pre,  $t.fetch(7), 
> -                             old_cont, $t.fetch(8));
> -    }
> -    return res;
> -}
> -
>  
>  @- !!! THE FOLLOWING PROCs (*_constr) ARE DEPRECATED !!!
>     They are however not removed yet to support comparison
> 
> 
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-- 
Jan Rittinger
Database Systems
Technische Universität München (Germany)
http://www-db.in.tum.de/~rittinge/

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