| ************************************************************************** | |
| * * | |
| * The SubCircuit C++11 library * | |
| * * | |
| * An implementation of a modified Ullmann Subgraph Isomorphism Algorithm * | |
| * for coarse grain logic networks. by Clifford Wolf * | |
| * * | |
| ************************************************************************** | |
| ============ | |
| Introduction | |
| ============ | |
| This is a library that implements a modified Ullmann Subgraph Isomorphism | |
| Algorithm with additional features aimed at working with coarse grain logic | |
| networks. It also contains a simple frequent subcircuit mining algorithm. | |
| A simple command line tool that exposes the features of the library is also | |
| included. | |
| C++11 Warning | |
| ------------- | |
| This project is written in C++11. Use appropriate compiler switches to compile | |
| it. Tested with clang version 3.0 and option -std=c++11. Also tested with gcc | |
| version 4.6.3 and option -std=c++0x. | |
| ======== | |
| Features | |
| ======== | |
| The input is two graphs (needle and haystack) that represent coarse grain | |
| logic networks. The algorithm identifies all subgraphs of haystack that are | |
| isomorphic to needle. | |
| The following additional features over the regular Ullmann Subgraph Isomorphism | |
| Algorithm are provided by the library. | |
| * The graphs are attributed hypergraphs capable of representing netlists: | |
| - Nodes represent the logic cells: | |
| - Nodes have types and only match compatible types | |
| - Nodes have ports with variable bit-width | |
| - Hyperedges represent the signals: | |
| - Each hyperedge connects one to many bits on ports on nodes | |
| - Callback functions for advanced attributes and compatibility rules: | |
| Any set of node-node compatibility rules and edge-edge | |
| compatibility rules can be implemented by providing | |
| the necessary callback functions. | |
| * The algorithm is very efficient when all or many bits of one port are | |
| connected to bits of the same other port. This is usually the case | |
| in coarse grain logic networks. But the algorithm does not add any | |
| restrictions in this area; it is just optimized for this scenario. | |
| * The algorithm can be configured to allow larger ports in needle cells to | |
| match smaller ports in haystack cells in certain situations. This way it | |
| is possible to e.g. have a 32-bit adder cell in the needle match a | |
| 16-bit adder cell in the haystack. | |
| * The algorithm can be configured to perform port-swapping on certain | |
| ports on certain cell types to match commutative operations properly. | |
| This is, however, not implemented very efficiently when a larger number | |
| of permutations is possible on a cell type. Therefore it is recommended | |
| to only use swap groups with only a few members and a few such groups | |
| on one cell type type. | |
| Also note, that the algorithm can not resolve complex dependencies | |
| between the port swappings of different cells. Therefore it is | |
| recommended to only use port swapping on input pins of commutative | |
| operations, where such complex dependencies can not emerge. | |
| * The algorithm can be configured to distinguish between internal signals | |
| of the needle and externally visible signals. The needle will only | |
| match a subgraph of the haystack if that subgraph does not expose the | |
| internal signal to nodes in the haystack outside the matching subgraph. | |
| * The algorithm can recognize a subcircuit even if some or all of its | |
| inputs and/or outputs are shorted together. | |
| * Explicit fast support for constant signals without extra nodes for | |
| constant drivers. | |
| * Support for finding only non-overlapping matches. | |
| * A simple miner for frequent subcircuts that operates on the same circuit | |
| description format. | |
| * The public API of the library is using std::string identifiers for | |
| nodes, node types and ports. Internally the costly part of the | |
| algorithm is only using integer values, thus speeding up the | |
| algorithm without exposing complex internal encodings to the caller. | |
| ================= | |
| API Documentation | |
| ================= | |
| This section gives a brief overview of the API. For a working example, have a | |
| look at the demo.cc example program in this directory. | |
| Setting up graphs | |
| ----------------- | |
| Instantiate the SubCircuit::Graph class and use the methods of this class to | |
| set up the circuit. | |
| SubCircuit::Graph myGraph; | |
| For each node in the circuit call the createNode() method. Specify the | |
| identifier for the node and also the type of function implemented by the node. | |
| Then call createPort() for each port of this node. | |
| E.g. the following code adds a node "myAdder" of type "add" with three 32 bit | |
| wide ports "A", "B" and "Y". Note that SubCircuit does not care which port is | |
| an input and which port is an output. The last (and optional) argument to | |
| createPort() specifies the minimum number of bits required for this port in the | |
| haystack (this field is only used in the needle graph). So in this example the | |
| node would e.g. also match any adder with a bit width smaller 32. | |
| myGraph.createNode("myAdder", "add"); | |
| myGraph.createPort("myAdder", "A", 32, 1); | |
| myGraph.createPort("myAdder", "B", 32, 1); | |
| myGraph.createPort("myAdder", "Y", 32, 1); | |
| The createConnection() method can be used to connect the nodes. It internally | |
| creates a hypergraph. So the following code does not only connect cell1.Y with | |
| cell2.A and cell3.A but also implicitly cell2.A with cell3.A. | |
| myGraph.createConnection("cell1", "Y", "cell2", "A"); | |
| myGraph.createConnection("cell1", "Y", "cell3", "A"); | |
| Redundent calls to createConnection() are ignored. As long as the method is | |
| called after the relevant nodes and ports are created, the order in which the | |
| createConnection() calls are performed is irrelevant. | |
| The createConnection() method can also be used to connect single bit signals. | |
| In this case the start bit for both ports must be provided as well as an | |
| optional width (which defaults to 1). E.g. the following calls can be used to | |
| connect the 32 bit port cell4.Y to the 32 bit port cell5.A with a one bit left | |
| rotate shift, | |
| myGraph.createConnection("cell4", "Y", 0, "cell5", "A", 1, 31); | |
| myGraph.createConnection("cell4", "Y", 31, "cell5", "A", 0); | |
| The method createConstant() can be used to add a constant driver to a signal. | |
| The signal value is encoded as one char by bit, allowing for multi-valued | |
| logic matching. The following command sets the lowest bit of cell6.A to a | |
| logic 1: | |
| myGraph.createConnection("cell6", "A", 0, '1'); | |
| It is also possible to set an entire port to a integer value, using the | |
| encodings '0' and '1' for the binary digits: | |
| myGraph.createConnection("cell6", "A", 42); | |
| The method markExtern() can be used to mark a signal as externally visible. In | |
| a needle graph this means, this signal may match a signal in the haystack that | |
| is used outside the matching subgraph. In a haystack graph this means, this | |
| signal is used outside the haystack graph. I.e. an internal signal of the | |
| needle won't match an external signal of the haystack regardless where the | |
| signal is used in the haystack. | |
| In some application one may disable this extern/intern checks. This can easily | |
| be achieved by marking all signals in the needle as extern. This can be done | |
| using the Graph::markAllExtern() method. | |
| Setting up and running solvers | |
| ------------------------------ | |
| To actually run the subgraph isomorphism algorithm, an instance of | |
| SubCircuit::Solver must be created. | |
| SubCircuit::Solver mySolver; | |
| The addGraph() method can be used to register graphs with the solver: | |
| mySolver.addGraph("graph1", myGraph); | |
| mySolver.addGraph("graph2", myOtherGraph); | |
| Usually nodes in the needle and the haystack must have the same type identifier | |
| to match each other. Additionally pairs of compatible needle and haystack node | |
| pairs can be registered using the addCompatibleTypes() method: | |
| mySolver.addCompatibleTypes("alu", "add"); | |
| mySolver.addCompatibleTypes("alu", "sub"); | |
| mySolver.addCompatibleTypes("alu", "and"); | |
| mySolver.addCompatibleTypes("alu", "or"); | |
| mySolver.addCompatibleTypes("alu", "xor"); | |
| Note that nodes in needle and haystack must also use the same naming convention | |
| for their ports in order to be considered compatible by the algorithm. | |
| Similarly the method addCompatibleConstants() can be used the specify which | |
| constant values in the needle should match which constant value in the haystack. | |
| Equal values always do match. | |
| mySolver.addCompatibleConstants('x', '0'); | |
| mySolver.addCompatibleConstants('x', '1'); | |
| Some cells implement commutative operations that don't care if their input | |
| operands are swapped. For this cell types it is possible to register groups | |
| of swappable ports. Let's consider a cell "macc23" that implements the | |
| function Y = (A * B) + (C * D * E): | |
| mySolver.addSwappablePorts("macc23", "A", "B"); | |
| mySolver.addSwappablePorts("macc23", "C", "D", "E"); | |
| Sometimes the rules for port swapping are a more complicated and the swapping | |
| of one port is related to the swapping of another port. Let's consider a cell | |
| "macc22" that implements the function Y = (A * B) + (C * D): | |
| mySolver.addSwappablePorts("macc22", "A", "B"); | |
| mySolver.addSwappablePorts("macc22", "C", "D"); | |
| std::map<std::string, std::string> portMapping; | |
| portMapping["A"] = "C"; | |
| portMapping["B"] = "D"; | |
| portMapping["C"] = "A"; | |
| portMapping["D"] = "B"; | |
| mySolver.addSwappablePortsPermutation("macc22", portMapping); | |
| I.e. the method mySolver.addSwappablePortsPermutation() can be used to register | |
| additional permutations for a node type of which one or none is applied on top | |
| of the permutations yielded by the permutations generated by the swap groups. | |
| Note that two solutions that differ only in the applied port swapping are not | |
| reported as separate solutions. Instead only one of them is selected (in most | |
| cases the one with less port swapping as it is usually identified first). | |
| Once everything has been set up, the solve() method can be used to actually | |
| search for isomorphic subgraphs. The first argument to solve() is an | |
| std::vector<SubCircuit::Solver::Result> objects to which all found solutions | |
| are appended. The second argument is the identifier under which the needle | |
| graph has been registered and the third argument is the identifier under which | |
| the haystack graph has been registered: | |
| std::vector<SubCircuit::Solver::Result> results; | |
| mySolver.solve(results, "graph1", "graph2"); | |
| The SubCircuit::Solver::Result object is a simple data structure that contains | |
| the mappings between needle and haystack nodes, port mappings after the port | |
| swapping and some additional metadata. See "subcircuit.h" and "demo.cc" for | |
| details. | |
| The solve() method has a third optional boolean argument. If it is set to | |
| false, solve will not return any solutions that contain haystack nodes that | |
| have been part of a previously found solution. This way it is e.g. easy | |
| to implement a greedy macro cell matching algorithm: | |
| std::vector<SubCircuit::Solver::Result> results; | |
| mySolver.solve(results, "macroCell1", "circuit", false); | |
| mySolver.solve(results, "macroCell2", "circuit", false); | |
| mySolver.solve(results, "macroCell3", "circuit", false); | |
| After this code has been executed, the results vector contains all | |
| non-overlapping matches of the three macrocells. The method | |
| clearOverlapHistory() can be used to reset the internal state used | |
| for this feature. The default value for the third argument to solve() | |
| is true (allow overlapping). The optional boolean fourth argument to the | |
| Graph::createNode() method can be used to mark a node as shareable even | |
| in non-overlapping solver mode. | |
| The solve() method also has a fourth optional integer argument. If it is set to | |
| a positive integer, this integer specifies the maximum number of solutions to | |
| be appended to the results vector, i.e. to terminate the algorithm early when | |
| the set number of matches is found. When this fourth argument is negative or | |
| omitted all matches are found and appended. | |
| An alternative version of the solve() method supports an additional argument | |
| after they haystack graph identifier that specifies initial mappings for | |
| the algorithm. In the following example only the haystack nodes cell_1 and | |
| cell_2 are considered as mappings for the needle node cell_A: | |
| std::map<std::string, std::set<std::string>> initialMappings; | |
| initialMappings["cell_A"].insert("cell_1"); | |
| initialMappings["cell_A"].insert("cell_2"); | |
| std::vector<SubCircuit::Solver::Result> results; | |
| mySolver.solve(results, "graph1", "graph2", initialMappings); | |
| The clearConfig() method can be used to clear all data registered using | |
| addCompatibleTypes(), addCompatibleConstants(), addSwappablePorts() and | |
| addSwappablePortsPermutation() but retaining the graphs and the overlap state. | |
| Using user callback function | |
| ---------------------------- | |
| For more complex tasks it is possible to derive a class from SubCircuit::Solver | |
| that overloads one or more of the following virtual methods. The userData | |
| arguments to the following methods are void pointers that can be passed as | |
| third argument to Graph::createNode() and are simly passed thru to the user | |
| callback functions together with the node id whenever a node is referenced. | |
| bool userCompareNodes(needleGraphId, needleNodeId, needleUserData, haystackGraphId, haystackNodeId, haystackUserData): | |
| Perform additional checks on a pair of nodes (one from the needle, one | |
| from the haystack) to determine if the nodes are compatible. The default | |
| implementation always returns true. | |
| bool userCompareEdge(needleGraphId, needleFromNodeId, needleFromUserData, needleToNodeId, needleToUserData, | |
| haystackGraphId, haystackFromNodeId, haystackFromUserData, haystackToNodeId, haystackToUserData): | |
| Perform additional checks on a pair of a pair of adjacent nodes (one | |
| adjacent pair from the needle and one adjacent pair from the haystack) | |
| to determine whether this edge from the needle is compatible with | |
| that edge from the haystack. The default implementation always | |
| returns true. | |
| bool userCheckSolution(result): | |
| Perform additional checks on a solution before appending it to the | |
| results vector. When this function returns false, the solution is | |
| ignored. The default implementation always returns true. | |
| Mining for frequent SubCircuits | |
| ------------------------------- | |
| The solver also contains a miner for frequent subcircuits. The following code | |
| fragment will find all frequent subcircuits with at least minNodes nodes and | |
| at most maxNodes nodes that occurs at least minMatches times: | |
| std::vector<SubCircuit::Solver::MineResult> results; | |
| mySolver.mine(results, minNodes, maxNodes, minMatches); | |
| The mine() method has an optional fifth parameter that limits the number of | |
| matches counted in one graph. This can be useful when mining for circuits that | |
| are found in at least a number of graphs. E.g. the following call would find | |
| all subcircuits with 5 nodes that are found in at least 7 of the registered | |
| graphs: | |
| mySolver.mine(results, 5, 5, 7, 1); | |
| Note that this miner is not very efficient and therefore its use is not | |
| recommended for large circuits. Also note that the miner is working under the | |
| assumption that subgraph isomorphism is bidirectional. This is not the case in | |
| circuits with gates with shorted pins. This can result in undetected frequent | |
| subcircuits in some corner cases. | |
| Debugging | |
| --------- | |
| For debugging purposes the SubCircuit::Solver class implements a setVerbose() | |
| method. When called once, all further calls to the solve() method cause the | |
| algorithm to dump out a lot of debug information to stdout. | |
| In conjunction with setVerbose() one can also overload the userAnnotateEdge() | |
| method in order to add additional information about the edges to the debug | |
| output. | |
| =================== | |
| Shell Documentation | |
| =================== | |
| This package also contains a small command-line tool called "scshell" that can | |
| be used for experimentation with the algorithm. This program reads a series of | |
| commands from stdin and reports its findings to stdout on exit. | |
| $ ./scshell < test_macc22.txt | |
| ... | |
| Match #3: (macc22 in macc4x2) | |
| add_1 -> add_2 A:B B:A Y:Y | |
| mul_1 -> mul_4 A:A B:B Y:Y | |
| mul_2 -> mul_3 A:A B:B Y:Y | |
| The following commands can be used in scshell to specify graphs: | |
| graph <graph_name> | |
| ... | |
| endgraph | |
| Used to specify a graph with the given name. Only the commands | |
| "node", "connect" and "extern" may be used within the graph ... | |
| endgraph block. | |
| node <node_name> [<port_name> [<bits> [<min_bits>]]]+ | |
| Used to create a node and ports. This command is a direct frontend | |
| to the Graph::createNode() and Graph::createPort() methods. | |
| connect <from_node> <from_port> <to_node> <to_port> | |
| connect <from_node> <from_port> <from_bit> <to_node> <to_port> <to_bit> | |
| connect <from_node> <from_port> <from_bit> <to_node> <to_port> <to_bit> <width> | |
| Used to connect the nodes in the graph via Graph::createConnection(). | |
| constant <node> <port> [<bit>] <value> | |
| Call Graph::createConstant(). | |
| extern <node> [<port> [<bit>]]+ | |
| Mark signals as extern via Graph::markExtern(). | |
| allextern | |
| Mark all signals as extern via Graph::markAllExtern(). | |
| The following commands can be used in scshell outside a graph ... endgraph block: | |
| compatible <needle_type> <haystack_type> | |
| Call Solver::addCompatibleTypes(). | |
| constcompat <needle_value> <haystack_value> | |
| Call Solver::addCompatibleConstants(). | |
| swapgroup <needle_type> <port>+ | |
| Call Solver::addSwappablePorts(). | |
| swapperm <needle_type> <ports>+ : <ports>+ | |
| Call Solver::addSwappablePortsPermutation(). Both port lists must | |
| have the same length and the second one must be a permutation of the | |
| first one. | |
| initmap <needle_node> <haystack_node>+ | |
| Add an entry to the initial mappings for the next solve command. | |
| This mappings are automatically reset after the solve command. | |
| solve <needle_graph> <haystack_graph> [<allow_overlap> [<max_solutions>]] | |
| Call Solver::solve(). The <allow_overlap> must be "1" or "true" | |
| for true and "0" or "false" for false. | |
| mine <min_nodes> <max_nodes> <min_matches> [<limit_matches_per_graph>] | |
| Call Solver::mine(). | |
| expect <number> | |
| Print all results so far since the last call to expect. Expect | |
| <number> results and exit with error code 1 if a different number | |
| of results have been found. | |
| clearoverlap | |
| Call Solver::clearOverlapHistory(). | |
| clearconfig | |
| Call Solver::clearConfig(). | |
| verbose | |
| Call Solver::setVerbose(). | |