/* * 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; bool bvmode; int idcounter; std::vector decls, trans; std::map bit_driver; std::set exported_cells; std::map> fcache; std::map bvsizes; Smt2Worker(RTLIL::Module *module, bool bvmode) : ct(module->design), sigmap(module), module(module), bvmode(bvmode), idcounter(0) { decls.push_back(stringf("(declare-sort |%s_s| 0)\n", log_id(module))); for (auto cell : module->cells()) for (auto &conn : cell->connections()) { bool is_input = ct.cell_input(cell->type, conn.first); bool is_output = ct.cell_output(cell->type, conn.first); if (is_output && !is_input) for (auto bit : sigmap(conn.second)) { if (bit_driver.count(bit)) log_error("Found multiple drivers for %s.\n", log_signal(bit)); bit_driver[bit] = cell; } else if (is_output || !is_input) log_error("Unsupported or unknown directionality on port %s of cell %s.%s (%s).\n", log_id(conn.first), log_id(module), log_id(cell), log_id(cell->type)); } } void register_bool(RTLIL::SigBit bit, int id) { sigmap.apply(bit); log_assert(fcache.count(bit) == 0); fcache[bit] = std::pair(id, -1); } std::string get_bool(RTLIL::SigBit bit, const char *state_name = "state") { sigmap.apply(bit); if (bit_driver.count(bit)) export_cell(bit_driver.at(bit)); if (fcache.count(bit) == 0) { decls.push_back(stringf("(declare-fun |%s#%d| (|%s_s|) Bool) ; %s\n", log_id(module), idcounter, log_id(module), log_signal(bit))); register_bool(bit, idcounter++); } auto f = fcache.at(bit); log_assert(f.second == -1); return stringf("(|%s#%d| %s)", log_id(module), f.first, state_name); } std::string get_bv(RTLIL::SigSpec sig, const char *state_name = "state") { std::vector subexpr; for (auto bit : sig) subexpr.push_back(stringf("(ite %s #b1 #b0)", get_bool(bit, state_name).c_str())); if (GetSize(subexpr) > 1) { std::string expr = "(concat"; for (int i = GetSize(subexpr)-1; i >= 0; i--) expr += " " + subexpr[i]; return expr + ")"; } else { log_assert(GetSize(subexpr) == 1); return subexpr[0]; } } void export_gate(RTLIL::Cell *cell, std::string expr) { RTLIL::SigBit bit = sigmap(cell->getPort("\\Y")[0]); std::string processed_expr; for (char ch : expr) { if (ch == 'A') processed_expr += get_bool(cell->getPort("\\A")[0]); else if (ch == 'B') processed_expr += get_bool(cell->getPort("\\B")[0]); else if (ch == 'C') processed_expr += get_bool(cell->getPort("\\C")[0]); else if (ch == 'D') processed_expr += get_bool(cell->getPort("\\D")[0]); else if (ch == 'S') processed_expr += get_bool(cell->getPort("\\S")[0]); else processed_expr += ch; } decls.push_back(stringf("(define-fun |%s#%d| ((state |%s_s|)) Bool %s) ; %s\n", log_id(module), idcounter, log_id(module), processed_expr.c_str(), log_signal(bit))); register_bool(bit, idcounter++); return; } void export_cell(RTLIL::Cell *cell) { if (exported_cells.count(cell)) return; exported_cells.insert(cell); if (cell->type == "$_DFF_P_" || cell->type == "$_DFF_N_") { std::string expr_d = get_bool(cell->getPort("\\D")[0]); std::string expr_q = get_bool(cell->getPort("\\Q")[0], "next_state"); trans.push_back(stringf(" (= %s %s)\n", expr_d.c_str(), expr_q.c_str())); return; } if (cell->type == "$_BUF_") return export_gate(cell, "A"); if (cell->type == "$_NOT_") return export_gate(cell, "(not A)"); if (cell->type == "$_AND_") return export_gate(cell, "(and A B)"); if (cell->type == "$_NAND_") return export_gate(cell, "(not (and A B))"); if (cell->type == "$_OR_") return export_gate(cell, "(or A B)"); if (cell->type == "$_NOR_") return export_gate(cell, "(not (or A B))"); if (cell->type == "$_XOR_") return export_gate(cell, "(xor A B)"); if (cell->type == "$_XNOR_") return export_gate(cell, "(not (xor A B))"); if (cell->type == "$_MUX_") return export_gate(cell, "(ite S B A)"); if (cell->type == "$_AOI3_") return export_gate(cell, "(not (or (and A B) C))"); if (cell->type == "$_OAI3_") return export_gate(cell, "(not (and (or A B) C))"); if (cell->type == "$_AOI4_") return export_gate(cell, "(not (or (and A B) (and C D)))"); if (cell->type == "$_OAI4_") return export_gate(cell, "(not (and (or A B) (or C D)))"); log_error("Unsupported cell type %s for cell %s.%s.\n", log_id(cell->type), log_id(module), log_id(cell)); } void run() { for (auto wire : module->wires()) if (wire->port_id || wire->get_bool_attribute("\\keep")) { RTLIL::SigSpec sig = sigmap(wire); if (bvmode && GetSize(sig) > 1) { decls.push_back(stringf("(define-fun |%s_n %s| ((state |%s_s|)) (_ BitVec %d) %s)\n", log_id(module), log_id(wire), log_id(module), GetSize(sig), get_bv(sig).c_str())); } else { for (int i = 0; i < GetSize(sig); i++) if (GetSize(sig) > 1) decls.push_back(stringf("(define-fun |%s_n %s %d| ((state |%s_s|)) Bool %s)\n", log_id(module), log_id(wire), i, log_id(module), get_bool(sig[i]).c_str())); else decls.push_back(stringf("(define-fun |%s_n %s| ((state |%s_s|)) Bool %s)\n", log_id(module), log_id(wire), log_id(module), get_bool(sig[i]).c_str())); } } } void write(std::ostream &f) { for (auto it : decls) f << it; 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 [1] description of the current design. For a module with name\n"); log("'' this will declare the sort '_s' (state of the module) and the the\n"); log("function '_t' (state transition function).\n"); log("\n"); log("The '_s' sort represents the a module state. Additional '_n' functions\n"); log("are provided that can be used to access the values of all signals in the module.\n"); log("Only ports, and signals with the 'keep' attribute set are made available via\n"); log("such functions. Without the -bv option, multi-bit wires are exported as\n"); log("separate functions of type Bool for the individual bits. With the -bv option\n"); log("multi-bit wires are exported as single functions of type BitVec.\n"); log("\n"); log("The '_t' function evaluates to 'true' when the given pair of states\n"); log("describes a valid state transition.\n"); log("\n"); log(" -bv\n"); log(" enable support for BitVec (FixedSizeBitVectors theory). with this\n"); log(" option set multi-bit wires are represented using the BitVec sort and\n"); log(" support for coarse grain cells (incl. arithmetic) is enabled.\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("[1] For more information on SMT-LIBv2 visit http://smt-lib.org/ or read David\n"); log("R. Cok's tutorial: http://www.grammatech.com/resources/smt/SMTLIBTutorial.pdf\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 need QF_UFBV for this poof\n"); log(" (set-logic QF_UFBV)\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(" ; state s2 is the successor of state s1\n"); log(" (assert (test_t s1 s2))\n"); log("\n"); log(" ; we are looking for a model with y non-zero in s1\n"); log(" (assert (distinct (|test_n y| s1) #b0000))\n"); log("\n"); log(" ; we are looking for a model with y zero in s2\n"); log(" (assert (= (|test_n y| s2) #b0000))\n"); log("\n"); log(" ; is there such a model?\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 -bv -tpl 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; bool bvmode = false; log_header("Executing SMT2 backend.\n"); size_t argidx; for (argidx = 1; argidx < args.size(); argidx++) { if (args[argidx] == "-tpl" && 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; } if (args[argidx] == "-bv") { bvmode = true; 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, bvmode); 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