Re: [sqlite] Storing/editing hierarchical data sets
Thank you again, Michael - a very interesting suggestion. I'm going to start experimenting with your previous suggestion of a linked list. This is simple and intuitive, and I can see it working very well. In fact it's a similar principle to that used by Audacity, the open source audio editor, which segments the original audio into a linked list of temporary 'block' files, enabling fast cut/copy/paste manipulations (in contrast to many editors, which rely on literal copying and insertion into a single file). I will be storing my data as blobs between 1024 and 2048 bytes, rather than individual samples. Of course it is extremely unlikely that any cut or copy selection will fall on the boundary of a blob - most of the time it will slice through it. So any blob thus affected will have to be rebuilt, or its data redistributed to neighbouring rows. Given the average size of a blob this shouldn't be an issue, however. And even for a large file experiment indicates that the corresponding reduction hierarchy will be unlikely to exceed a few MB. So now I am going to actually perform some tests... Many thanks again, Christopher > From: michael.bla...@ngc.com > To: sqlite-users@sqlite.org > Date: Tue, 12 Jul 2011 11:38:13 + > Subject: Re: [sqlite] Storing/editing hierarchical data sets > > I thought of another way to do your copy/cut/paste... > > > > Assuming you keep the original audio around and use the levels I showed > before. > > > > create table sequence(level int,parent int,start int,end end); > > insert into seqeunce values(1,0,0,-1); // note that -1 means "until end of > data". > > > > See where I'm going? You keep a sequence table that is much like your btree. > It's just a collection of clips that when strung together can make your > audio clip. By default you have one sequence per level. > > > > Cut 1000-1999 from level=1 > > select * from sequence where level=1; > > delete from sequence where level=1; > > insert into sequence values(1,0,0,999); > > insert into sequence values(2,1,2000,-1); > > > > Insert some data: > > 1st you find where it fits > > select * from sequence where level=1; > > bytes1=0; > > while moredata > > bytes2+=end-start; > > if (insertpoint >=bytes1 and insertpoint <=bytes2) > > update sequence set id=id+1,parent=parent+1 where id>=currentid; > > break; > > end > > > > Cuts are just splitting one record in 2, or adjusting 2 records and deleting > records in between. > > I'll leave that as an exercise for you. > > > > This would > > > > Michael D. Black > > Senior Scientist > > NG Information Systems > > Advanced Analytics Directorate > > > > ____________ > From: sqlite-users-boun...@sqlite.org [sqlite-users-boun...@sqlite.org] on > behalf of Christopher Melen [relativef...@hotmail.co.uk] > Sent: Sunday, July 10, 2011 12:52 PM > To: sqlite-users@sqlite.org > Subject: EXT :[sqlite] Storing/editing hierarchical data sets > > > Hi, > > > I am developing an application which analyses audio data, and I have recently > been looking into Sqlite as a possible file format. The result of an analysis > in my application is a hierarchical data set, where each level in the > hierarchy represents a summary of the level below, taking the max of each > pair in the sub-level, in the following way: > > > 251 214 > > > 251 54 201 214 > > >251 9117 54 31 201 > 214 66 > > > 251 18 5 91 11 17 54 169 31 201 148173 214 43 66 > > > Such a structure essentially represents the same data set at different levels > of resolution ('zoom levels', if you like). My first experiments involved a > btree-like structure (actually something closer to an enfilade* or counted > btree**), where the data stored in each node is simply a summary of its child > nodes. Edits to any node at the leaf level propagate up the tree, whilst > large edits simply entail unlinking pointers to subtrees, thus making edits > on any scale generally log-like in nature. This works fine as an in-memory > structure, but since my data sets might potentially grow fairly large (a few > hundred MB at least) I need a disk-based solution. I naively assumed that I > might be able to utilize Sqlite's btree layer in order to implement this more > effectively; this doesn't seem possible, however, given that the btree layer > isn't directly exposed, and in any case
Re: [sqlite] Storing/editing hierarchical data sets
I thought of another way to do your copy/cut/paste... Assuming you keep the original audio around and use the levels I showed before. create table sequence(level int,parent int,start int,end end); insert into seqeunce values(1,0,0,-1); // note that -1 means "until end of data". See where I'm going? You keep a sequence table that is much like your btree. It's just a collection of clips that when strung together can make your audio clip. By default you have one sequence per level. Cut 1000-1999 from level=1 select * from sequence where level=1; delete from sequence where level=1; insert into sequence values(1,0,0,999); insert into sequence values(2,1,2000,-1); Insert some data: 1st you find where it fits select * from sequence where level=1; bytes1=0; while moredata bytes2+=end-start; if (insertpoint >=bytes1 and insertpoint <=bytes2) update sequence set id=id+1,parent=parent+1 where id>=currentid; break; end Cuts are just splitting one record in 2, or adjusting 2 records and deleting records in between. I'll leave that as an exercise for you. This would Michael D. Black Senior Scientist NG Information Systems Advanced Analytics Directorate From: sqlite-users-boun...@sqlite.org [sqlite-users-boun...@sqlite.org] on behalf of Christopher Melen [relativef...@hotmail.co.uk] Sent: Sunday, July 10, 2011 12:52 PM To: sqlite-users@sqlite.org Subject: EXT :[sqlite] Storing/editing hierarchical data sets Hi, I am developing an application which analyses audio data, and I have recently been looking into Sqlite as a possible file format. The result of an analysis in my application is a hierarchical data set, where each level in the hierarchy represents a summary of the level below, taking the max of each pair in the sub-level, in the following way: 251 214 251 54 201 214 251 9117 54 31 201 214 66 251 18 5 91 11 17 54 169 31 201 148173 214 43 66 Such a structure essentially represents the same data set at different levels of resolution ('zoom levels', if you like). My first experiments involved a btree-like structure (actually something closer to an enfilade* or counted btree**), where the data stored in each node is simply a summary of its child nodes. Edits to any node at the leaf level propagate up the tree, whilst large edits simply entail unlinking pointers to subtrees, thus making edits on any scale generally log-like in nature. This works fine as an in-memory structure, but since my data sets might potentially grow fairly large (a few hundred MB at least) I need a disk-based solution. I naively assumed that I might be able to utilize Sqlite's btree layer in order to implement this more effectively; this doesn't seem possible, however, given that the btree layer isn't directly exposed, and in any case it doesn't map onto the user interface in any way that seems helpful for this task. I am aware of some of the ways in which hierarchical or tree-like structures can be represented in a database (adjacency lists, nested sets, materialized paths, etc.), but none of these seems to offer a good solution. What I'm experimenting with at present is the idea of entering each node of the hierarchy into the database as a blob (of say, 1024 bytes), while maintaining a separate in-memory tree which then maps on to this flat database of nodes (each node in the tree maintains a pointer to a node in the database). I would be very interested in thoughts/observations on this problem - or even better a solution! Many thanks in advance, Christopher * http://en.wikipedia.org/wiki/Enfilade_(Xanadu) ** http://www.chiark.greenend.org.uk/~sgtatham/algorithms/cbtree.html ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users
Re: [sqlite] Storing/editing hierarchical data sets
See FTS3 extension where the full-text index is stored in multi btree in regular tables. Note: FTS2 is more simple. -- Best regards, Alexey Pechnikov. http://pechnikov.tel/ ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users
Re: [sqlite] Storing/editing hierarchical data sets
On Sun, Jul 10, 2011 at 10:52 AM, Christopher Melenwrote: > > Hi, > > > I am developing an application which analyses audio data, and I have recently > been looking into Sqlite as a possible file format. The result of an analysis > in my application is a hierarchical data set, where each level in the > hierarchy represents a summary of the level below, taking the max of each > pair in the sub-level, in the following way: > > > 251 214 > > > 251 54 201 214 > > > 251 91 17 54 31 201 > 214 66 > > > 251 18 5 91 11 17 54 16 9 31 201 148 173 214 43 66 > > > Such a structure essentially represents the same data set at different levels > of resolution ('zoom levels', if you like). My first experiments involved a > btree-like structure (actually something closer to an enfilade* or counted > btree**), where the data stored in each node is simply a summary of its child > nodes. Edits to any node at the leaf level propagate up the tree, whilst > large edits simply entail unlinking pointers to subtrees, thus making edits > on any scale generally log-like in nature. This works fine as an in-memory > structure, but since my data sets might potentially grow fairly large (a few > hundred MB at least) I need a disk-based solution. I naively assumed that I > might be able to utilize Sqlite's btree layer in order to implement this more > effectively; this doesn't seem possible, however, given that the btree layer > isn't directly exposed, and in any case it doesn't map onto the user > interface in any way that seems helpful for this task. > I developed an option tree that is heirarchal and is basically like a registry. I only store the parent_id, since order isn't entirely important. node_id | parent_node_id | content | sequence maybe adding a sequence if which is to the left or right is important but this isn't really binary treeing either if you want what's under a thing just select who has that node_id as a parent_node_id > > I am aware of some of the ways in which hierarchical or tree-like structures > can be represented in a database (adjacency lists, nested sets, materialized > paths, etc.), but none of these seems to offer a good solution. What I'm > experimenting with at present is the idea of entering each node of the > hierarchy into the database as a blob (of say, 1024 bytes), while maintaining > a separate in-memory tree which then maps on to this flat database of nodes > (each node in the tree maintains a pointer to a node in the database). > > > I would be very interested in > thoughts/observations > on this problem - or even better a solution! > > > > Many thanks in advance, > Christopher > > > * http://en.wikipedia.org/wiki/Enfilade_(Xanadu) > ** http://www.chiark.greenend.org.uk/~sgtatham/algorithms/cbtree.html > > ___ > sqlite-users mailing list > sqlite-users@sqlite.org > http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users > ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users
Re: [sqlite] Storing/editing hierarchical data sets
I can see adding a forward/reverse link to the tables making it a linked-list type structure much like your btree. By default each node is linked to the one in front and back. Then you adjust those pointers for cut/paste operations. You could also do the cut/paste just by copying to a new table. If you want a disk-based B-Tree try this: http://www.die-schoens.de/prg/ Michael D. Black Senior Scientist NG Information Systems Advanced Analytics Directorate From: sqlite-users-boun...@sqlite.org [sqlite-users-boun...@sqlite.org] on behalf of Christopher Melen [relativef...@hotmail.co.uk] Sent: Monday, July 11, 2011 3:28 PM To: sqlite-users@sqlite.org Subject: EXT :Re: [sqlite] Storing/editing hierarchical data sets Many thanks for your neat, simple suggestion, Michael. Sometimes you can miss the wood for the btrees... Using tables seems a very attractive way to maintain such a hierarchy. The problem is that I need to be able to operate on the structure in a way not limited to just updating nodes and adding new ones. What I want to implement is a general cut/copy/paste mechanism - which is why I investigated btree-like data structures in the first place. Cutting and pasting in a btree is simple, often being no more than a matter of reorganizing a few pointers. A tree with a vast number of nodes (such as a typical b+tree) can be modified in this way with O(logN) efficiency. And in such a hierarchical arrangement as the one I require, localised changes are just as cheap, simply propagating up the tree to the root. What I am wondering, then (leaving aside the question of hierarchy), is if such a cut/copy/paste mechanism can be implemented using Sqlite tables, and if so how efficient is it likely to be? Might a virtual table created via ATTACH be useful here? Apologies for any naive assumptions - I've studied trees a lot but not so much SQL! Thanks, Christopher > From: michael.bla...@ngc.com > To: sqlite-users@sqlite.org > Date: Sun, 10 Jul 2011 19:41:07 + > Subject: Re: [sqlite] Storing/editing hierarchical data sets > > Somebody smarter than I may be able to figure out how to use views to do the > upper levels. > > But if you can afford your database to be a bit less then twice as big just > use tables. > > > > create table level1(id int,l int,r int); > insert into level1 values(1,251,18); > insert into level1 values(2,5,91); > insert into level1 values(3,11,17); > insert into level1 values(4,54,16); > insert into level1 values(5,9,31); > insert into level1 values(6,201,148); > insert into level1 values(7,173,214); > insert into level1 values(8,43,66); > select max(l,r) from level1; > 251 > 91 > 17 > 54 > 31 > 201 > 214 > 66 > create table level2(id int,l int, r int); > insert into level2(l) select max(l,r) from level1 where rowid%2=1; > update level2 set r= (select max(l,r) from level1 where > level2.rowid=level1.rowid/2); > select * from level2; > id|l|r > |251|91 > |17|54 > |31|201 > |214|66 > create table level3(id int,l int, r int); > insert into level3(l) select max(l,r) from level2 where rowid%2=1; > update level3 set r= (select max(l,r) from level2 where > level3.rowid=level2.rowid/2); > select * from level3; > id|l|r > |251|54 > |201|214 > insert into level4(l) select max(l,r) from level3 where rowid%2=1; > update level4 set r= (select max(l,r) from level3 where > level4.rowid=level3.rowid/2); > select * from level4; > id|l|r > |251|214 > > > > Now let's update > > update level1 set l=90 where id=1; > > update level2 set l=(select max(level1.l,level1.r) where > level2.rowid=level1.rowid/2) > > update level2 set l= (select max(l,r) from level1 where > level2.rowid=(level1.rowid+1)/2); > > select * from level2; > > id|l|r > |90|91 > |17|54 > |31|201 > |214|66 > > update level3 set l=(select max(level2.l,level2.r) from level2 where > level3.rowid=level2.rowid/2); > > update level3 set l= (select max(l,r) from level2 where > level3.rowid=(level2.rowid+1)/2); > > select * from level3; > id|l|r > |91|54 > |201|214 > > update level4 set l=(select max(level3.l,level3.r) from level3 where > level4.rowid=level3.rowid/2); > > update level4 set l= (select max(l,r) from level3 where > level4.rowid=(level3.rowid+1)/2); > > select * from level4; > id|l|r > |91|214 > > > > Michael D. Black > > Senior Scientist > > NG Information Systems > > Advanced Analytics Directorate > > > > > From: sqlite-users-boun...@sqlite.org [sqlite-users-boun...@sqlite.org] on > behalf of Christopher Melen [relativef...@hotmail.co.uk] > Sent: Sunday, July 10, 2011 12:5
Re: [sqlite] Storing/editing hierarchical data sets
Many thanks for your neat, simple suggestion, Michael. Sometimes you can miss the wood for the btrees... Using tables seems a very attractive way to maintain such a hierarchy. The problem is that I need to be able to operate on the structure in a way not limited to just updating nodes and adding new ones. What I want to implement is a general cut/copy/paste mechanism - which is why I investigated btree-like data structures in the first place. Cutting and pasting in a btree is simple, often being no more than a matter of reorganizing a few pointers. A tree with a vast number of nodes (such as a typical b+tree) can be modified in this way with O(logN) efficiency. And in such a hierarchical arrangement as the one I require, localised changes are just as cheap, simply propagating up the tree to the root. What I am wondering, then (leaving aside the question of hierarchy), is if such a cut/copy/paste mechanism can be implemented using Sqlite tables, and if so how efficient is it likely to be? Might a virtual table created via ATTACH be useful here? Apologies for any naive assumptions - I've studied trees a lot but not so much SQL! Thanks, Christopher > From: michael.bla...@ngc.com > To: sqlite-users@sqlite.org > Date: Sun, 10 Jul 2011 19:41:07 + > Subject: Re: [sqlite] Storing/editing hierarchical data sets > > Somebody smarter than I may be able to figure out how to use views to do the > upper levels. > > But if you can afford your database to be a bit less then twice as big just > use tables. > > > > create table level1(id int,l int,r int); > insert into level1 values(1,251,18); > insert into level1 values(2,5,91); > insert into level1 values(3,11,17); > insert into level1 values(4,54,16); > insert into level1 values(5,9,31); > insert into level1 values(6,201,148); > insert into level1 values(7,173,214); > insert into level1 values(8,43,66); > select max(l,r) from level1; > 251 > 91 > 17 > 54 > 31 > 201 > 214 > 66 > create table level2(id int,l int, r int); > insert into level2(l) select max(l,r) from level1 where rowid%2=1; > update level2 set r= (select max(l,r) from level1 where > level2.rowid=level1.rowid/2); > select * from level2; > id|l|r > |251|91 > |17|54 > |31|201 > |214|66 > create table level3(id int,l int, r int); > insert into level3(l) select max(l,r) from level2 where rowid%2=1; > update level3 set r= (select max(l,r) from level2 where > level3.rowid=level2.rowid/2); > select * from level3; > id|l|r > |251|54 > |201|214 > insert into level4(l) select max(l,r) from level3 where rowid%2=1; > update level4 set r= (select max(l,r) from level3 where > level4.rowid=level3.rowid/2); > select * from level4; > id|l|r > |251|214 > > > > Now let's update > > update level1 set l=90 where id=1; > > update level2 set l=(select max(level1.l,level1.r) where > level2.rowid=level1.rowid/2) > > update level2 set l= (select max(l,r) from level1 where > level2.rowid=(level1.rowid+1)/2); > > select * from level2; > > id|l|r > |90|91 > |17|54 > |31|201 > |214|66 > > update level3 set l=(select max(level2.l,level2.r) from level2 where > level3.rowid=level2.rowid/2); > > update level3 set l= (select max(l,r) from level2 where > level3.rowid=(level2.rowid+1)/2); > > select * from level3; > id|l|r > |91|54 > |201|214 > > update level4 set l=(select max(level3.l,level3.r) from level3 where > level4.rowid=level3.rowid/2); > > update level4 set l= (select max(l,r) from level3 where > level4.rowid=(level3.rowid+1)/2); > > select * from level4; > id|l|r > |91|214 > > > > Michael D. Black > > Senior Scientist > > NG Information Systems > > Advanced Analytics Directorate > > > > > From: sqlite-users-boun...@sqlite.org [sqlite-users-boun...@sqlite.org] on > behalf of Christopher Melen [relativef...@hotmail.co.uk] > Sent: Sunday, July 10, 2011 12:52 PM > To: sqlite-users@sqlite.org > Subject: EXT :[sqlite] Storing/editing hierarchical data sets > > > Hi, > > > I am developing an application which analyses audio data, and I have recently > been looking into Sqlite as a possible file format. The result of an analysis > in my application is a hierarchical data set, where each level in the > hierarchy represents a summary of the level below, taking the max of each > pair in the sub-level, in the following way: > > > 251 214 > > > 251 54 201 214 > > >251 9117 54 31 201 > 21
Re: [sqlite] Storing/editing hierarchical data sets
On Jul 10, 2011, at 9:41 PM, Black, Michael (IS) wrote: > Somebody smarter than I may be able to figure out how to use views to do the > upper levels. Was there a question hidden somewhere in your post? :) ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users
Re: [sqlite] Storing/editing hierarchical data sets
Somebody smarter than I may be able to figure out how to use views to do the upper levels. But if you can afford your database to be a bit less then twice as big just use tables. create table level1(id int,l int,r int); insert into level1 values(1,251,18); insert into level1 values(2,5,91); insert into level1 values(3,11,17); insert into level1 values(4,54,16); insert into level1 values(5,9,31); insert into level1 values(6,201,148); insert into level1 values(7,173,214); insert into level1 values(8,43,66); select max(l,r) from level1; 251 91 17 54 31 201 214 66 create table level2(id int,l int, r int); insert into level2(l) select max(l,r) from level1 where rowid%2=1; update level2 set r= (select max(l,r) from level1 where level2.rowid=level1.rowid/2); select * from level2; id|l|r |251|91 |17|54 |31|201 |214|66 create table level3(id int,l int, r int); insert into level3(l) select max(l,r) from level2 where rowid%2=1; update level3 set r= (select max(l,r) from level2 where level3.rowid=level2.rowid/2); select * from level3; id|l|r |251|54 |201|214 insert into level4(l) select max(l,r) from level3 where rowid%2=1; update level4 set r= (select max(l,r) from level3 where level4.rowid=level3.rowid/2); select * from level4; id|l|r |251|214 Now let's update update level1 set l=90 where id=1; update level2 set l=(select max(level1.l,level1.r) where level2.rowid=level1.rowid/2) update level2 set l= (select max(l,r) from level1 where level2.rowid=(level1.rowid+1)/2); select * from level2; id|l|r |90|91 |17|54 |31|201 |214|66 update level3 set l=(select max(level2.l,level2.r) from level2 where level3.rowid=level2.rowid/2); update level3 set l= (select max(l,r) from level2 where level3.rowid=(level2.rowid+1)/2); select * from level3; id|l|r |91|54 |201|214 update level4 set l=(select max(level3.l,level3.r) from level3 where level4.rowid=level3.rowid/2); update level4 set l= (select max(l,r) from level3 where level4.rowid=(level3.rowid+1)/2); select * from level4; id|l|r |91|214 Michael D. Black Senior Scientist NG Information Systems Advanced Analytics Directorate From: sqlite-users-boun...@sqlite.org [sqlite-users-boun...@sqlite.org] on behalf of Christopher Melen [relativef...@hotmail.co.uk] Sent: Sunday, July 10, 2011 12:52 PM To: sqlite-users@sqlite.org Subject: EXT :[sqlite] Storing/editing hierarchical data sets Hi, I am developing an application which analyses audio data, and I have recently been looking into Sqlite as a possible file format. The result of an analysis in my application is a hierarchical data set, where each level in the hierarchy represents a summary of the level below, taking the max of each pair in the sub-level, in the following way: 251 214 251 54 201 214 251 9117 54 31 201 214 66 251 18 5 91 11 17 54 169 31 201 148173 214 43 66 Such a structure essentially represents the same data set at different levels of resolution ('zoom levels', if you like). My first experiments involved a btree-like structure (actually something closer to an enfilade* or counted btree**), where the data stored in each node is simply a summary of its child nodes. Edits to any node at the leaf level propagate up the tree, whilst large edits simply entail unlinking pointers to subtrees, thus making edits on any scale generally log-like in nature. This works fine as an in-memory structure, but since my data sets might potentially grow fairly large (a few hundred MB at least) I need a disk-based solution. I naively assumed that I might be able to utilize Sqlite's btree layer in order to implement this more effectively; this doesn't seem possible, however, given that the btree layer isn't directly exposed, and in any case it doesn't map onto the user interface in any way that seems helpful for this task. I am aware of some of the ways in which hierarchical or tree-like structures can be represented in a database (adjacency lists, nested sets, materialized paths, etc.), but none of these seems to offer a good solution. What I'm experimenting with at present is the idea of entering each node of the hierarchy into the database as a blob (of say, 1024 bytes), while maintaining a separate in-memory tree which then maps on to this flat database of nodes (each node in the tree maintains a pointer to a node in the database). I would be very interested in thoughts/observations on this problem - or even better a solution! Many thanks in advance, Christopher * http://en.wikipedia.org/wiki/Enfilade_(Xanadu) ** http://www.chiark.greenend.org.uk/~sgtatham/algorithms/cbtree.html ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users
[sqlite] Storing/editing hierarchical data sets
Hi, I am developing an application which analyses audio data, and I have recently been looking into Sqlite as a possible file format. The result of an analysis in my application is a hierarchical data set, where each level in the hierarchy represents a summary of the level below, taking the max of each pair in the sub-level, in the following way: 251 214 251 54 201 214 251 9117 54 31 201 214 66 251 18 5 91 11 17 54 169 31 201 148173 214 43 66 Such a structure essentially represents the same data set at different levels of resolution ('zoom levels', if you like). My first experiments involved a btree-like structure (actually something closer to an enfilade* or counted btree**), where the data stored in each node is simply a summary of its child nodes. Edits to any node at the leaf level propagate up the tree, whilst large edits simply entail unlinking pointers to subtrees, thus making edits on any scale generally log-like in nature. This works fine as an in-memory structure, but since my data sets might potentially grow fairly large (a few hundred MB at least) I need a disk-based solution. I naively assumed that I might be able to utilize Sqlite's btree layer in order to implement this more effectively; this doesn't seem possible, however, given that the btree layer isn't directly exposed, and in any case it doesn't map onto the user interface in any way that seems helpful for this task. I am aware of some of the ways in which hierarchical or tree-like structures can be represented in a database (adjacency lists, nested sets, materialized paths, etc.), but none of these seems to offer a good solution. What I'm experimenting with at present is the idea of entering each node of the hierarchy into the database as a blob (of say, 1024 bytes), while maintaining a separate in-memory tree which then maps on to this flat database of nodes (each node in the tree maintains a pointer to a node in the database). I would be very interested in thoughts/observations on this problem - or even better a solution! Many thanks in advance, Christopher * http://en.wikipedia.org/wiki/Enfilade_(Xanadu) ** http://www.chiark.greenend.org.uk/~sgtatham/algorithms/cbtree.html ___ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users