Skip to content
/ btreeBlock Public

An implementation of the Btree algorithm in synthesizable Verilog.

1 star 1 fork Branches Tags Activity
Star
Notifications You must be signed in to change notification settings

philiprbrenan/btreeBlock

BranchesTags

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

1,632 Commits
.config
.config
 
 
.github/workflows
.github/workflows
 
 
flowChart
flowChart
 
 
verilog
verilog
 
 
.gitignore
.gitignore
 
 
Btree.java
Btree.java
 
 
BtreePA.java
BtreePA.java
 
 
BtreeSA.java
BtreeSA.java
 
 
BtreeSML.java
BtreeSML.java
 
 
BtreeSP.java
BtreeSP.java
 
 
BtreeStuck.java
BtreeStuck.java
 
 
BtreeStuckStatic.java
BtreeStuckStatic.java
 
 
If.java
If.java
 
 
Layout.java
Layout.java
 
 
Memory.java
Memory.java
 
 
MemoryLayout.java
MemoryLayout.java
 
 
MemoryLayoutPA.java
MemoryLayoutPA.java
 
 
Program.java
Program.java
 
 
ProgramPA.java
ProgramPA.java
 
 
README.md
README.md
 
 
Stuck.java
Stuck.java
 
 
StuckPA.java
StuckPA.java
 
 
StuckSA.java
StuckSA.java
 
 
StuckSML.java
StuckSML.java
 
 
StuckSP.java
StuckSP.java
 
 
StuckStatic.java
StuckStatic.java
 
 
Test.java
Test.java
 
 
Verilog.java
Verilog.java
 
 
j.bat
j.bat
 
 
j.sh
j.sh
 
 
pushToGitHub.pl
pushToGitHub.pl
 
 

Repository files navigation

Btree in a block

The reasons why you might want to get involved in this implementation of the B-Tree algorithm in Silicon rather than software are:

http://prb.appaapps.com/zesal/pitchdeck/pitchDeck.html

Roadmap

I implemented the B-Tree algorithm in Java, then successively reduced the Java code until it looked just like assembler code, at which point it was easy to generate a CPU in Verilog to execute the assembler code: Roadmap

The Verilog CPU will now be implemented on an fpga and then as an application specific integrated circuit to implement the B-Tree algorithm in hardware rather than software.

-----------------------------------------------------------------------------------
| Tool Version : Vivado v.2024.2 (lin64) Build 5239630 Fri Nov 08 22:34:34 MST 2024
| Design       : doc
| Design State : Synthesized
-----------------------------------------------------------------------------------

Example: finding the data associated with a database key

For a small tree:

   BtreePA t = new BtreePA()
     {int maxSize         () {return  8;}
      int maxKeysPerLeaf  () {return  2;}
      int maxKeysPerBranch() {return  3;}
      int bitsPerKey      () {return  4;}
      int bitsPerData     () {return  4;}
     };

Vivado Synthesis uses the following resources to implement the find operation.

+-------------------------+------+-------+------------+-----------+-------+
|        Site Type        | Used | Fixed | Prohibited | Available | Util% |
+-------------------------+------+-------+------------+-----------+-------+
| Slice LUTs*             |  581 |     0 |          0 |     41000 |  1.42 |
|   LUT as Logic          |  581 |     0 |          0 |     41000 |  1.42 |
|   LUT as Memory         |    0 |     0 |          0 |     13400 |  0.00 |
| Slice Registers         |  131 |     0 |          0 |     82000 |  0.16 |
|   Register as Flip Flop |  131 |     0 |          0 |     82000 |  0.16 |
|   Register as Latch     |    0 |     0 |          0 |     82000 |  0.00 |
| F7 Muxes                |   10 |     0 |          0 |     20500 |  0.05 |
| F8 Muxes                |    0 |     0 |          0 |     10250 |  0.00 |
+-------------------------+------+-------+------------+-----------+-------+

The tree being searched looks like this:

    ok(t, """
             4                    |
             0                    |
             5                    |
             6                    |
      2             6    7        |
      5             6    6.1      |
      1             4    7        |
      3                  2        |
1,2=1  3,4=3  5,6=4  7=7    8,9=2 |
""");

Running the generated Verilog code to find the data associated with database key 2 produces:

Stopped after:  117 steps key    2  data    7

Deleting in ascending order

The evolution of a B-Tree as the lowest element is deleted successively until the tree is empty.

At start with 32 elements
+----------------------------------------------------------------------------------------------------------------------------+
|                                                        16                                24                                |
|                                                        0                                 0.1                               |
|                                                        7                                 18                                |
|                                                                                          8                                 |
|           4          8               12                                 20                                 28              |
|           7          7.1             7.2                                18                                 8               |
|           1          4               6                                  12                                 17              |
|                                      10                                 15                                 2               |
| 1,2,3,4=1  5,6,7,8=4    9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15    25,26,27,28=17   29,30,31,32=2 |
+----------------------------------------------------------------------------------------------------------------------------+
After deleting: 1
+-----------------------------------------------------------------------------------------------------------------------------+
|                                                      16                                                                     |
|                                                      0                                                                      |
|                                                      7                                                                      |
|                                                      18                                                                     |
|         4          8               12                                 20               24                 28                |
|         7          7.1             7.2                                18               18.1               18.2              |
|         1          4               6                                  12               15                 17                |
|                                    10                                                                     2                 |
| 2,3,4=1  5,6,7,8=4    9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+-----------------------------------------------------------------------------------------------------------------------------+
After deleting: 2
+---------------------------------------------------------------------------------------------------------------------------+
|                                                    16                                                                     |
|                                                    0                                                                      |
|                                                    7                                                                      |
|                                                    18                                                                     |
|       4          8               12                                 20               24                 28                |
|       7          7.1             7.2                                18               18.1               18.2              |
|       1          4               6                                  12               15                 17                |
|                                  10                                                                     2                 |
| 3,4=1  5,6,7,8=4    9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+---------------------------------------------------------------------------------------------------------------------------+
After deleting: 3
+-------------------------------------------------------------------------------------------------------------------------+
|                                                  16                                                                     |
|                                                  0                                                                      |
|                                                  7                                                                      |
|                                                  18                                                                     |
|     4          8               12                                 20               24                 28                |
|     7          7.1             7.2                                18               18.1               18.2              |
|     1          4               6                                  12               15                 17                |
|                                10                                                                     2                 |
| 4=1  5,6,7,8=4    9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+-------------------------------------------------------------------------------------------------------------------------+
After deleting: 4
+------------------------------------------------------------------------------------------------------------------+
|                                           16                                                                     |
|                                           0                                                                      |
|                                           7                                                                      |
|                                           18                                                                     |
|           8             12                                 20               24                 28                |
|           7             7.1                                18               18.1               18.2              |
|           1             6                                  12               15                 17                |
|                         10                                                                     2                 |
| 5,6,7,8=1  9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+------------------------------------------------------------------------------------------------------------------+
After deleting: 5
+----------------------------------------------------------------------------------------------------------------+
|                                         16                                                                     |
|                                         0                                                                      |
|                                         7                                                                      |
|                                         18                                                                     |
|         8             12                                 20               24                 28                |
|         7             7.1                                18               18.1               18.2              |
|         1             6                                  12               15                 17                |
|                       10                                                                     2                 |
| 6,7,8=1  9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+----------------------------------------------------------------------------------------------------------------+
After deleting: 6
+--------------------------------------------------------------------------------------------------------------+
|                                       16                                                                     |
|                                       0                                                                      |
|                                       7                                                                      |
|                                       18                                                                     |
|       8             12                                 20               24                 28                |
|       7             7.1                                18               18.1               18.2              |
|       1             6                                  12               15                 17                |
|                     10                                                                     2                 |
| 7,8=1  9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+--------------------------------------------------------------------------------------------------------------+
After deleting: 7
+------------------------------------------------------------------------------------------------------------+
|                                     16                                                                     |
|                                     0                                                                      |
|                                     7                                                                      |
|                                     18                                                                     |
|     8             12                                 20               24                 28                |
|     7             7.1                                18               18.1               18.2              |
|     1             6                                  12               15                 17                |
|                   10                                                                     2                 |
| 8=1  9,10,11,12=6    13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+------------------------------------------------------------------------------------------------------------+
After deleting: 8
+------------------------------------------------------------------------------------------------------+
|                               16                                                                     |
|                               0                                                                      |
|                               7                                                                      |
|                               18                                                                     |
|              12                                20               24                 28                |
|              7                                 18               18.1               18.2              |
|              1                                 12               15                 17                |
|              10                                                                    2                 |
| 9,10,11,12=1   13,14,15,16=10   17,18,19,20=12   21,22,23,24=15     25,26,27,28=17     29,30,31,32=2 |
+------------------------------------------------------------------------------------------------------+
After deleting: 9
+---------------------------------------------------------------------------------------------------+
|                                               20                                                  |
|                                               0                                                   |
|                                               7                                                   |
|                                               18                                                  |
|            12               16                                 24               28                |
|            7                7.1                                18               18.1              |
|            1                10                                 15               17                |
|                             12                                                  2                 |
| 10,11,12=1   13,14,15,16=10    17,18,19,20=12   21,22,23,24=15   25,26,27,28=17     29,30,31,32=2 |
+---------------------------------------------------------------------------------------------------+
After deleting: 10
+------------------------------------------------------------------------------------------------+
|                                            20                                                  |
|                                            0                                                   |
|                                            7                                                   |
|                                            18                                                  |
|         12               16                                 24               28                |
|         7                7.1                                18               18.1              |
|         1                10                                 15               17                |
|                          12                                                  2                 |
| 11,12=1   13,14,15,16=10    17,18,19,20=12   21,22,23,24=15   25,26,27,28=17     29,30,31,32=2 |
+------------------------------------------------------------------------------------------------+
After deleting: 11
+---------------------------------------------------------------------------------------------+
|                                         20                                                  |
|                                         0                                                   |
|                                         7                                                   |
|                                         18                                                  |
|      12               16                                 24               28                |
|      7                7.1                                18               18.1              |
|      1                10                                 15               17                |
|                       12                                                  2                 |
| 12=1   13,14,15,16=10    17,18,19,20=12   21,22,23,24=15   25,26,27,28=17     29,30,31,32=2 |
+---------------------------------------------------------------------------------------------+
After deleting: 12
+------------------------------------------------------------------------------------+
|                                20                                                  |
|                                0                                                   |
|                                7                                                   |
|                                18                                                  |
|               16                                24               28                |
|               7                                 18               18.1              |
|               1                                 15               17                |
|               12                                                 2                 |
| 13,14,15,16=1   17,18,19,20=12   21,22,23,24=15   25,26,27,28=17     29,30,31,32=2 |
+------------------------------------------------------------------------------------+
After deleting: 13
+--------------------------------------------------------------------------------+
|                                               24                               |
|                                               0                                |
|                                               7                                |
|                                               18                               |
|            16               20                                 28              |
|            7                7.1                                18              |
|            1                12                                 17              |
|                             15                                 2               |
| 14,15,16=1   17,18,19,20=12    21,22,23,24=15   25,26,27,28=17   29,30,31,32=2 |
+--------------------------------------------------------------------------------+
After deleting: 14
+-----------------------------------------------------------------------------+
|                                            24                               |
|                                            0                                |
|                                            7                                |
|                                            18                               |
|         16               20                                 28              |
|         7                7.1                                18              |
|         1                12                                 17              |
|                          15                                 2               |
| 15,16=1   17,18,19,20=12    21,22,23,24=15   25,26,27,28=17   29,30,31,32=2 |
+-----------------------------------------------------------------------------+
After deleting: 15
+--------------------------------------------------------------------------+
|                                         24                               |
|                                         0                                |
|                                         7                                |
|                                         18                               |
|      16               20                                 28              |
|      7                7.1                                18              |
|      1                12                                 17              |
|                       15                                 2               |
| 16=1   17,18,19,20=12    21,22,23,24=15   25,26,27,28=17   29,30,31,32=2 |
+--------------------------------------------------------------------------+
After deleting: 16
+-----------------------------------------------------------------+
|                                24                               |
|                                0                                |
|                                7                                |
|                                18                               |
|               20                                28              |
|               7                                 18              |
|               1                                 17              |
|               15                                2               |
| 17,18,19,20=1   21,22,23,24=15   25,26,27,28=17   29,30,31,32=2 |
+-----------------------------------------------------------------+
After deleting: 17
+----------------------------------------------------------------+
|            20               24                28               |
|            0                0.1               0.2              |
|            1                15                17               |
|                                               2                |
| 18,19,20=1   21,22,23,24=15    25,26,27,28=17    29,30,31,32=2 |
+----------------------------------------------------------------+
After deleting: 18
+-------------------------------------------------------------+
|         20               24                28               |
|         0                0.1               0.2              |
|         1                15                17               |
|                                            2                |
| 19,20=1   21,22,23,24=15    25,26,27,28=17    29,30,31,32=2 |
+-------------------------------------------------------------+
After deleting: 19
+----------------------------------------------------------+
|      20               24                28               |
|      0                0.1               0.2              |
|      1                15                17               |
|                                         2                |
| 20=1   21,22,23,24=15    25,26,27,28=17    29,30,31,32=2 |
+----------------------------------------------------------+
After deleting: 20
+-------------------------------------------------+
|               24               28               |
|               0                0.1              |
|               1                17               |
|                                2                |
| 21,22,23,24=1   25,26,27,28=17    29,30,31,32=2 |
+-------------------------------------------------+
After deleting: 21
+----------------------------------------------+
|            24               28               |
|            0                0.1              |
|            1                17               |
|                             2                |
| 22,23,24=1   25,26,27,28=17    29,30,31,32=2 |
+----------------------------------------------+
After deleting: 22
+-------------------------------------------+
|         24               28               |
|         0                0.1              |
|         1                17               |
|                          2                |
| 23,24=1   25,26,27,28=17    29,30,31,32=2 |
+-------------------------------------------+
After deleting: 23
+----------------------------------------+
|      24               28               |
|      0                0.1              |
|      1                17               |
|                       2                |
| 24=1   25,26,27,28=17    29,30,31,32=2 |
+----------------------------------------+
After deleting: 24
+-------------------------------+
|               28              |
|               0               |
|               1               |
|               2               |
| 25,26,27,28=1   29,30,31,32=2 |
+-------------------------------+
After deleting: 25
+----------------------------+
|            28              |
|            0               |
|            1               |
|            2               |
| 26,27,28=1   29,30,31,32=2 |
+----------------------------+
After deleting: 26
+-------------------------+
|         28              |
|         0               |
|         1               |
|         2               |
| 27,28=1   29,30,31,32=2 |
+-------------------------+
After deleting: 27
+----------------------+
|      28              |
|      0               |
|      1               |
|      2               |
| 28=1   29,30,31,32=2 |
+----------------------+
After deleting: 28
+--------------+
| 29,30,31,32=0 |
+--------------+
After deleting: 29
+-----------+
| 30,31,32=0 |
+-----------+
After deleting: 30
+--------+
| 31,32=0 |
+--------+
After deleting: 31
+-----+
| 32=0 |
+-----+
After deleting: 32
+---+
| =0 |
+---+

About

An implementation of the Btree algorithm in synthesizable Verilog.

Resources

Readme
Activity

Stars

1 star

Watchers

2 watching

Forks

1 fork
Report repository

Languages