/* * yosys -- Yosys Open SYnthesis Suite * * Copyright (C) 2012 Clifford Wolf * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. * */ #include "kernel/rtlil.h" #include "kernel/register.h" #include "kernel/sigtools.h" #include "kernel/celltypes.h" #include "kernel/log.h" #include USING_YOSYS_NAMESPACE PRIVATE_NAMESPACE_BEGIN struct Smt2Worker { CellTypes ct; SigMap sigmap; RTLIL::Module *module; std::vector decls, clauses, trans; std::map bool_cache; std::map> cells_by_type; Smt2Worker(RTLIL::Module *module) : ct(module->design), sigmap(module), module(module) { decls.push_back(stringf("(declare-sort |%s_s| 0)\n", log_id(module))); } std::string get_bool(RTLIL::SigBit bit, const char *state_name = "state") { sigmap.apply(bit); if (bit.wire == nullptr) return bit.data == RTLIL::State::S1 ? "true" : "false"; if (!bool_cache.count(bit)) { std::string name = stringf("|%s_n %s %d|", log_id(module), log_id(bit.wire), bit.offset); for (auto &c : name) if (c == '\\') c = '/'; decls.push_back(stringf("(declare-fun %s (|%s_s|) Bool)\n", name.c_str(), log_id(module))); bool_cache[bit] = name; } return stringf("(%s %s)", bool_cache.at(bit).c_str(), state_name); } void make_wire(RTLIL::Wire *wire) { for (int i = 0; i < GetSize(wire); i++) get_bool(RTLIL::SigBit(wire, i)); } void run_gates() { // basic gate-level logic cell types for (auto cell : cells_by_type["$_BUF_"]) clauses.push_back(stringf(" (= %s %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_BUF_"); for (auto cell : cells_by_type["$_NOT_"]) clauses.push_back(stringf(" (distinct %s %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_NOT_"); for (auto cell : cells_by_type["$_AND_"]) clauses.push_back(stringf(" (= (and %s %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_AND_"); for (auto cell : cells_by_type["$_OR_"]) clauses.push_back(stringf(" (= (or %s %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_OR_"); for (auto cell : cells_by_type["$_XOR_"]) clauses.push_back(stringf(" (= (xor %s %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_XOR_"); for (auto cell : cells_by_type["$_MUX_"]) clauses.push_back(stringf(" (= (ite %s %s %s) %s)\n", get_bool(cell->getPort("\\S").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_MUX_"); // inverted gate-level logic cell types for (auto cell : cells_by_type["$_NAND_"]) clauses.push_back(stringf(" (distinct (and %s %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_NAND_"); for (auto cell : cells_by_type["$_NOR_"]) clauses.push_back(stringf(" (distinct (or %s %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_NOR_"); for (auto cell : cells_by_type["$_XNOR_"]) clauses.push_back(stringf(" (distinct (xor %s %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_XNOR_"); // advanced cmos-style logic cell types for (auto cell : cells_by_type["$_AOI3_"]) clauses.push_back(stringf(" (distinct (or (and %s %s) %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\C").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_AOI3_"); for (auto cell : cells_by_type["$_AOI4_"]) clauses.push_back(stringf(" (distinct (or (and %s %s) (and %s %s)) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\C").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\D").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_AOI4_"); for (auto cell : cells_by_type["$_OAI3_"]) clauses.push_back(stringf(" (distinct (or (and %s %s) %s) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\C").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_OAI3_"); for (auto cell : cells_by_type["$_OAI4_"]) clauses.push_back(stringf(" (distinct (or (and %s %s) (and %s %s)) %s)\n", get_bool(cell->getPort("\\A").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\B").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\C").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\D").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Y").to_single_sigbit()).c_str())); cells_by_type.erase("$_OAI4_"); // simple DFF cells (ignoring clock domains) for (auto cell : cells_by_type["$_DFF_P_"]) trans.push_back(stringf(" (= %s %s)\n", get_bool(cell->getPort("\\D").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Q").to_single_sigbit(), "next_state").c_str())); cells_by_type.erase("$_DFF_P_"); for (auto cell : cells_by_type["$_DFF_N_"]) trans.push_back(stringf(" (= %s %s)\n", get_bool(cell->getPort("\\D").to_single_sigbit()).c_str(), get_bool(cell->getPort("\\Q").to_single_sigbit(), "next_state").c_str())); cells_by_type.erase("$_DFF_N_"); } void run() { for (auto port : module->ports) make_wire(module->wire(port)); for (auto cell : module->cells()) cells_by_type[cell->type].push_back(cell); run_gates(); for (auto &it : cells_by_type) log_error("Found %d cells of unsupported type %s in module %s.\n", GetSize(it.second), log_id(it.first), log_id(module)); } void write(std::ostream &f) { for (auto it : decls) f << it; f << stringf("(define-fun |%s_c| ((state |%s_s|)) Bool (and\n", log_id(module), log_id(module)); for (auto it : clauses) f << it; f << "true true))\n"; f << stringf("(define-fun |%s_t| ((state |%s_s|)(next_state |%s_s|)) Bool (and\n", log_id(module), log_id(module), log_id(module)); for (auto it : trans) f << it; f << "true true))\n"; } }; struct Smt2Backend : public Backend { Smt2Backend() : Backend("smt2", "write design to SMT-LIBv2 file") { } virtual void help() { // |---v---|---v---|---v---|---v---|---v---|---v---|---v---|---v---|---v---|---v---| log("\n"); log(" write_smt2 [options] [filename]\n"); log("\n"); log("Write a SMT-LIBv2 description of the current design. For a module with name\n"); log("'' this will declare the sort '_s' and the two functions '_c'\n"); log("(of arity 1) and '_t' (of arity 2).\n"); log("\n"); log("The sort represents the state of the module. Additional '_n' functions are\n"); log("declared that can be used to access the values of all signals in the module.\n"); log("\n"); log("The '_c' function evaluates to 'true' when the given state is consistent\n"); log("with the description of the models.\n"); log("\n"); log("The '_t' function evaluates to 'true' when the given pair of states is\n"); log("describes a valid state transition, provided that '_c' is true for both\n"); log("states.\n"); log("\n"); log(" -tpl \n"); log(" use the given template file. the line containing only the token '%%%%'\n"); log(" is replaced with the regular output of this command.\n"); log("\n"); log("---------------------------------------------------------------------------\n"); log("\n"); log("Example:\n"); log("\n"); log("Consider the following module (test.v). We want to prove that the output can\n"); log("never transition from a non-zero value to a zero value.\n"); log("\n"); log(" module test(input clk, output reg [3:0] y);\n"); log(" always @(posedge clk)\n"); log(" y <= (y << 1) | ^y;\n"); log(" endmodule\n"); log("\n"); log("For this proof we create the following template (test.tpl).\n"); log("\n"); log(" ; we only need QF_UF for this poof\n"); log(" (set-logic QF_UF)\n"); log("\n"); log(" ; insert the auto-generated code here\n"); log(" %%%%\n"); log("\n"); log(" ; declare two state variables s1 and s2\n"); log(" (declare-fun s1 () test_s)\n"); log(" (declare-fun s2 () test_s)\n"); log("\n"); log(" ; both states are valid and s2 follows s1\n"); log(" (assert (test_c s1))\n"); log(" (assert (test_c s2))\n"); log(" (assert (test_t s1 s2))\n"); log("\n"); log(" ; we are looking for a solution with y non-zero in s1\n"); log(" (assert (or (|test_n y 0| s1) (|test_n y 1| s1)\n"); log(" (|test_n y 2| s1) (|test_n y 3| s1)))\n"); log("\n"); log(" ; we are looking for a solution with y zero in s2\n"); log(" (assert (not (or (|test_n y 0| s2) (|test_n y 1| s2)\n"); log(" (|test_n y 2| s2) (|test_n y 3| s2))))\n"); log("\n"); log(" ; is there such a solution?\n"); log(" (check-sat)\n"); log("\n"); log("The following yosys script will create a 'test.smt2' file for our proof:\n"); log("\n"); log(" read_verilog test.v\n"); log(" hierarchy; proc; techmap; opt -fast\n"); log(" write_smt2 -template test.tpl test.smt2\n"); log("\n"); log("Running 'cvc4 test.smt2' will print 'unsat' because y can never transition\n"); log("from non-zero to zero in the test design.\n"); log("\n"); } virtual void execute(std::ostream *&f, std::string filename, std::vector args, RTLIL::Design *design) { std::ifstream template_f; log_header("Executing SMT2 backend.\n"); size_t argidx; for (argidx = 1; argidx < args.size(); argidx++) { if (args[argidx] == "-template" && argidx+1 < args.size()) { template_f.open(args[++argidx]); if (template_f.fail()) log_error("Can't open template file `%s'.\n", args[argidx].c_str()); continue; } break; } extra_args(f, filename, args, argidx); if (template_f.is_open()) { std::string line; while (std::getline(template_f, line)) { int indent = 0; while (indent < GetSize(line) && (line[indent] == ' ' || line[indent] == '\t')) indent++; if (line.substr(indent, 2) == "%%") break; *f << line << std::endl; } } *f << stringf("; SMT-LIBv2 description generated by %s\n", yosys_version_str); for (auto module : design->modules()) { if (module->get_bool_attribute("\\blackbox") || module->has_memories_warn() || module->has_processes_warn()) continue; log("Creating SMT-LIBv2 representation of module %s.\n", log_id(module)); Smt2Worker worker(module); worker.run(); worker.write(*f); } *f << stringf("; end of yosys output\n"); if (template_f.is_open()) { std::string line; while (std::getline(template_f, line)) *f << line << std::endl; } } } Smt2Backend; PRIVATE_NAMESPACE_END