yosys/kernel/satgen.h

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/*
* yosys -- Yosys Open SYnthesis Suite
*
* Copyright (C) 2012 Clifford Wolf <clifford@clifford.at>
*
* 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.
*
*/
#ifndef SATGEN_H
#define SATGEN_H
#include "kernel/rtlil.h"
#include "kernel/sigtools.h"
#include "kernel/celltypes.h"
#ifdef YOSYS_ENABLE_MINISAT
# include "libs/ezsat/ezminisat.h"
typedef ezMiniSAT ezDefaultSAT;
#else
# include "libs/ezsat/ezsat.h"
typedef ezSAT ezDefaultSAT;
#endif
struct SatGen
{
ezSAT *ez;
RTLIL::Design *design;
SigMap *sigmap;
std::string prefix;
SigPool initial_state;
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bool ignore_div_by_zero;
SatGen(ezSAT *ez, RTLIL::Design *design, SigMap *sigmap, std::string prefix = std::string()) :
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ez(ez), design(design), sigmap(sigmap), prefix(prefix), ignore_div_by_zero(false)
{
}
void setContext(RTLIL::Design *design, SigMap *sigmap, std::string prefix = std::string())
{
this->design = design;
this->sigmap = sigmap;
this->prefix = prefix;
}
std::vector<int> importSigSpec(RTLIL::SigSpec &sig, int timestep = -1)
{
assert(timestep < 0 || timestep > 0);
RTLIL::SigSpec s = sig;
sigmap->apply(s);
s.expand();
std::vector<int> vec;
vec.reserve(s.chunks.size());
for (auto &c : s.chunks)
if (c.wire == NULL) {
vec.push_back(c.data.as_bool() ? ez->TRUE : ez->FALSE);
} else {
std::string name = prefix;
name += timestep == -1 ? "" : stringf("@%d:", timestep);
name += stringf(c.wire->width == 1 ? "%s" : "%s [%d]", RTLIL::id2cstr(c.wire->name), c.offset);
vec.push_back(ez->literal(name));
}
return vec;
}
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void extendSignalWidth(std::vector<int> &vec_a, std::vector<int> &vec_b, RTLIL::Cell *cell, size_t y_width = 0)
{
bool is_signed = false;
if (cell->parameters.count("\\A_SIGNED") > 0 && cell->parameters.count("\\B_SIGNED") > 0)
is_signed = cell->parameters["\\A_SIGNED"].as_bool() && cell->parameters["\\B_SIGNED"].as_bool();
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while (vec_a.size() < vec_b.size() || vec_a.size() < y_width)
vec_a.push_back(is_signed && vec_a.size() > 0 ? vec_a.back() : ez->FALSE);
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while (vec_b.size() < vec_a.size() || vec_b.size() < y_width)
vec_b.push_back(is_signed && vec_b.size() > 0 ? vec_b.back() : ez->FALSE);
}
void extendSignalWidth(std::vector<int> &vec_a, std::vector<int> &vec_b, std::vector<int> &vec_y, RTLIL::Cell *cell)
{
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extendSignalWidth(vec_a, vec_b, cell, vec_y.size());
while (vec_y.size() < vec_a.size())
vec_y.push_back(ez->literal());
}
void extendSignalWidthUnary(std::vector<int> &vec_a, std::vector<int> &vec_y, RTLIL::Cell *cell)
{
bool is_signed = cell->parameters.count("\\A_SIGNED") > 0 && cell->parameters["\\A_SIGNED"].as_bool();
while (vec_a.size() < vec_y.size())
vec_a.push_back(is_signed && vec_a.size() > 0 ? vec_a.back() : ez->FALSE);
while (vec_y.size() < vec_a.size())
vec_y.push_back(ez->literal());
}
bool importCell(RTLIL::Cell *cell, int timestep = -1)
{
if (cell->type == "$_AND_" || cell->type == "$_OR_" || cell->type == "$_XOR_" ||
cell->type == "$and" || cell->type == "$or" || cell->type == "$xor" || cell->type == "$xnor" ||
cell->type == "$add" || cell->type == "$sub") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
extendSignalWidth(a, b, y, cell);
if (cell->type == "$and" || cell->type == "$_AND_")
ez->assume(ez->vec_eq(ez->vec_and(a, b), y));
if (cell->type == "$or" || cell->type == "$_OR_")
ez->assume(ez->vec_eq(ez->vec_or(a, b), y));
if (cell->type == "$xor" || cell->type == "$_XOR_")
ez->assume(ez->vec_eq(ez->vec_xor(a, b), y));
if (cell->type == "$xnor")
ez->assume(ez->vec_eq(ez->vec_not(ez->vec_xor(a, b)), y));
if (cell->type == "$add")
ez->assume(ez->vec_eq(ez->vec_add(a, b), y));
if (cell->type == "$sub")
ez->assume(ez->vec_eq(ez->vec_sub(a, b), y));
return true;
}
if (cell->type == "$_INV_" || cell->type == "$not") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
extendSignalWidthUnary(a, y, cell);
ez->assume(ez->vec_eq(ez->vec_not(a), y));
return true;
}
if (cell->type == "$_MUX_" || cell->type == "$mux") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> s = importSigSpec(cell->connections.at("\\S"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
ez->assume(ez->vec_eq(ez->vec_ite(s.at(0), b, a), y));
return true;
}
if (cell->type == "$pmux" || cell->type == "$safe_pmux") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> s = importSigSpec(cell->connections.at("\\S"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
std::vector<int> tmp = a;
for (size_t i = 0; i < s.size(); i++) {
std::vector<int> part_of_b(b.begin()+i*a.size(), b.begin()+(i+1)*a.size());
tmp = ez->vec_ite(s.at(i), part_of_b, tmp);
}
if (cell->type == "$safe_pmux")
tmp = ez->vec_ite(ez->onehot(s, true), tmp, a);
ez->assume(ez->vec_eq(tmp, y));
return true;
}
if (cell->type == "$pos" || cell->type == "$neg") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
extendSignalWidthUnary(a, y, cell);
if (cell->type == "$pos") {
ez->assume(ez->vec_eq(a, y));
} else {
std::vector<int> zero(a.size(), ez->FALSE);
ez->assume(ez->vec_eq(ez->vec_sub(zero, a), y));
}
return true;
}
if (cell->type == "$reduce_and" || cell->type == "$reduce_or" || cell->type == "$reduce_xor" ||
cell->type == "$reduce_xnor" || cell->type == "$reduce_bool" || cell->type == "$logic_not") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
if (cell->type == "$reduce_and")
ez->SET(ez->expression(ez->OpAnd, a), y.at(0));
if (cell->type == "$reduce_or" || cell->type == "$reduce_bool")
ez->SET(ez->expression(ez->OpOr, a), y.at(0));
if (cell->type == "$reduce_xor")
ez->SET(ez->expression(ez->OpXor, a), y.at(0));
if (cell->type == "$reduce_xnor")
ez->SET(ez->NOT(ez->expression(ez->OpXor, a)), y.at(0));
if (cell->type == "$logic_not")
ez->SET(ez->NOT(ez->expression(ez->OpOr, a)), y.at(0));
for (size_t i = 1; i < y.size(); i++)
ez->SET(0, y.at(0));
return true;
}
if (cell->type == "$logic_and" || cell->type == "$logic_or") {
int a = ez->expression(ez->OpOr, importSigSpec(cell->connections.at("\\A"), timestep));
int b = ez->expression(ez->OpOr, importSigSpec(cell->connections.at("\\B"), timestep));
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
if (cell->type == "$logic_and")
ez->SET(ez->expression(ez->OpAnd, a, b), y.at(0));
else
ez->SET(ez->expression(ez->OpOr, a, b), y.at(0));
for (size_t i = 1; i < y.size(); i++)
ez->SET(0, y.at(0));
return true;
}
if (cell->type == "$lt" || cell->type == "$le" || cell->type == "$eq" || cell->type == "$ne" || cell->type == "$ge" || cell->type == "$gt") {
bool is_signed = cell->parameters["\\A_SIGNED"].as_bool() && cell->parameters["\\B_SIGNED"].as_bool();
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
extendSignalWidth(a, b, cell);
if (cell->type == "$lt")
ez->SET(is_signed ? ez->vec_lt_signed(a, b) : ez->vec_lt_unsigned(a, b), y.at(0));
if (cell->type == "$le")
ez->SET(is_signed ? ez->vec_le_signed(a, b) : ez->vec_le_unsigned(a, b), y.at(0));
if (cell->type == "$eq")
ez->SET(ez->vec_eq(a, b), y.at(0));
if (cell->type == "$ne")
ez->SET(ez->vec_ne(a, b), y.at(0));
if (cell->type == "$ge")
ez->SET(is_signed ? ez->vec_ge_signed(a, b) : ez->vec_ge_unsigned(a, b), y.at(0));
if (cell->type == "$gt")
ez->SET(is_signed ? ez->vec_gt_signed(a, b) : ez->vec_gt_unsigned(a, b), y.at(0));
for (size_t i = 1; i < y.size(); i++)
ez->SET(0, y.at(0));
return true;
}
if (cell->type == "$shl" || cell->type == "$shr" || cell->type == "$sshl" || cell->type == "$sshr") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
char shift_left = cell->type == "$shl" || cell->type == "$sshl";
bool sign_extend = cell->type == "$sshr" && cell->parameters["\\A_SIGNED"].as_bool();
while (y.size() < a.size())
y.push_back(ez->literal());
while (y.size() > a.size())
a.push_back(cell->parameters["\\A_SIGNED"].as_bool() ? a.back() : ez->FALSE);
std::vector<int> tmp = a;
for (size_t i = 0; i < b.size(); i++)
{
std::vector<int> tmp_shifted(tmp.size());
for (size_t j = 0; j < tmp.size(); j++) {
int idx = j + (1 << (i > 30 ? 30 : i)) * (shift_left ? -1 : +1);
tmp_shifted.at(j) = (0 <= idx && idx < int(tmp.size())) ? tmp.at(idx) : sign_extend ? tmp.back() : ez->FALSE;
}
tmp = ez->vec_ite(b.at(i), tmp_shifted, tmp);
}
ez->assume(ez->vec_eq(tmp, y));
return true;
}
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if (cell->type == "$mul") {
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
extendSignalWidth(a, b, y, cell);
std::vector<int> tmp(a.size(), ez->FALSE);
for (int i = 0; i < int(a.size()); i++)
{
std::vector<int> shifted_a(a.size(), ez->FALSE);
for (int j = i; j < int(a.size()); j++)
shifted_a.at(j) = a.at(j-i);
tmp = ez->vec_ite(b.at(i), ez->vec_add(tmp, shifted_a), tmp);
}
ez->assume(ez->vec_eq(tmp, y));
return true;
}
if (cell->type == "$div" || cell->type == "$mod")
{
std::vector<int> a = importSigSpec(cell->connections.at("\\A"), timestep);
std::vector<int> b = importSigSpec(cell->connections.at("\\B"), timestep);
std::vector<int> y = importSigSpec(cell->connections.at("\\Y"), timestep);
extendSignalWidth(a, b, y, cell);
std::vector<int> a_u, b_u;
if (cell->parameters["\\A_SIGNED"].as_bool() && cell->parameters["\\B_SIGNED"].as_bool()) {
a_u = ez->vec_ite(a.back(), ez->vec_neg(a), a);
b_u = ez->vec_ite(b.back(), ez->vec_neg(b), b);
} else {
a_u = a;
b_u = b;
}
std::vector<int> chain_buf = a_u;
std::vector<int> y_u(a_u.size(), ez->FALSE);
for (int i = int(a.size())-1; i >= 0; i--)
{
chain_buf.insert(chain_buf.end(), chain_buf.size(), ez->FALSE);
std::vector<int> b_shl(i, ez->FALSE);
b_shl.insert(b_shl.end(), b_u.begin(), b_u.end());
b_shl.insert(b_shl.end(), chain_buf.size()-b_shl.size(), ez->FALSE);
y_u.at(i) = ez->vec_ge_unsigned(chain_buf, b_shl);
chain_buf = ez->vec_ite(y_u.at(i), ez->vec_sub(chain_buf, b_shl), chain_buf);
chain_buf.erase(chain_buf.begin() + a_u.size(), chain_buf.end());
}
if (cell->type == "$div") {
if (cell->parameters["\\A_SIGNED"].as_bool() && cell->parameters["\\B_SIGNED"].as_bool())
ez->assume(ez->vec_eq(y, ez->vec_ite(ez->XOR(a.back(), b.back()), ez->vec_neg(y_u), y_u)));
else
ez->assume(ez->vec_eq(y, y_u));
} else {
if (cell->parameters["\\A_SIGNED"].as_bool() && cell->parameters["\\B_SIGNED"].as_bool())
ez->assume(ez->vec_eq(y, ez->vec_ite(a.back(), ez->vec_neg(chain_buf), chain_buf)));
else
ez->assume(ez->vec_eq(y, chain_buf));
}
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if (ignore_div_by_zero)
ez->assume(ez->expression(ezSAT::OpOr, b));
return true;
}
if (timestep > 0 && (cell->type == "$dff" || cell->type == "$_DFF_N_" || cell->type == "$_DFF_P_")) {
if (timestep == 1) {
initial_state.add((*sigmap)(cell->connections.at("\\Q")));
} else {
std::vector<int> d = importSigSpec(cell->connections.at("\\D"), timestep-1);
std::vector<int> q = importSigSpec(cell->connections.at("\\Q"), timestep);
ez->assume(ez->vec_eq(d, q));
}
return true;
}
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// Unsupported internal cell types: $div $mod $pow
// .. and all sequential cells except $dff and $_DFF_[NP]_
return false;
}
};
#endif