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satgen.cc
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/*
* yosys -- Yosys Open SYnthesis Suite
*
* Copyright (C) 2012 Claire Xenia Wolf <claire@yosyshq.com>
*
* 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/satgen.h"
#include "kernel/ff.h"
USING_YOSYS_NAMESPACE
bool SatGen::importCell(RTLIL::Cell *cell, int timestep)
{
bool arith_undef_handled = false;
bool is_arith_compare = cell->type.in(ID($lt), ID($le), ID($ge), ID($gt));
if (model_undef && (cell->type.in(ID($add), ID($sub), ID($mul), ID($div), ID($mod), ID($divfloor), ID($modfloor)) || is_arith_compare))
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
if (is_arith_compare)
extendSignalWidth(undef_a, undef_b, cell, true);
else
extendSignalWidth(undef_a, undef_b, undef_y, cell, true);
int undef_any_a = ez->expression(ezSAT::OpOr, undef_a);
int undef_any_b = ez->expression(ezSAT::OpOr, undef_b);
int undef_y_bit = ez->OR(undef_any_a, undef_any_b);
if (cell->type.in(ID($div), ID($mod), ID($divfloor), ID($modfloor))) {
std::vector<int> b = importSigSpec(cell->getPort(ID::B), timestep);
undef_y_bit = ez->OR(undef_y_bit, ez->NOT(ez->expression(ezSAT::OpOr, b)));
}
if (is_arith_compare) {
for (size_t i = 1; i < undef_y.size(); i++)
ez->SET(ez->CONST_FALSE, undef_y.at(i));
ez->SET(undef_y_bit, undef_y.at(0));
} else {
std::vector<int> undef_y_bits(undef_y.size(), undef_y_bit);
ez->assume(ez->vec_eq(undef_y_bits, undef_y));
}
arith_undef_handled = true;
}
if (cell->type.in(ID($_AND_), ID($_NAND_), ID($_OR_), ID($_NOR_), ID($_XOR_), ID($_XNOR_), ID($_ANDNOT_), ID($_ORNOT_),
ID($and), ID($or), ID($xor), ID($xnor), ID($add), ID($sub)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(a, b, y, cell);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
if (cell->type.in(ID($and), ID($_AND_)))
ez->assume(ez->vec_eq(ez->vec_and(a, b), yy));
if (cell->type == ID($_NAND_))
ez->assume(ez->vec_eq(ez->vec_not(ez->vec_and(a, b)), yy));
if (cell->type.in(ID($or), ID($_OR_)))
ez->assume(ez->vec_eq(ez->vec_or(a, b), yy));
if (cell->type == ID($_NOR_))
ez->assume(ez->vec_eq(ez->vec_not(ez->vec_or(a, b)), yy));
if (cell->type.in(ID($xor), ID($_XOR_)))
ez->assume(ez->vec_eq(ez->vec_xor(a, b), yy));
if (cell->type.in(ID($xnor), ID($_XNOR_)))
ez->assume(ez->vec_eq(ez->vec_not(ez->vec_xor(a, b)), yy));
if (cell->type == ID($_ANDNOT_))
ez->assume(ez->vec_eq(ez->vec_and(a, ez->vec_not(b)), yy));
if (cell->type == ID($_ORNOT_))
ez->assume(ez->vec_eq(ez->vec_or(a, ez->vec_not(b)), yy));
if (cell->type == ID($add))
ez->assume(ez->vec_eq(ez->vec_add(a, b), yy));
if (cell->type == ID($sub))
ez->assume(ez->vec_eq(ez->vec_sub(a, b), yy));
if (model_undef && !arith_undef_handled)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(undef_a, undef_b, undef_y, cell, false);
if (cell->type.in(ID($and), ID($_AND_), ID($_NAND_))) {
std::vector<int> a0 = ez->vec_and(ez->vec_not(a), ez->vec_not(undef_a));
std::vector<int> b0 = ez->vec_and(ez->vec_not(b), ez->vec_not(undef_b));
std::vector<int> yX = ez->vec_and(ez->vec_or(undef_a, undef_b), ez->vec_not(ez->vec_or(a0, b0)));
ez->assume(ez->vec_eq(yX, undef_y));
}
else if (cell->type.in(ID($or), ID($_OR_), ID($_NOR_))) {
std::vector<int> a1 = ez->vec_and(a, ez->vec_not(undef_a));
std::vector<int> b1 = ez->vec_and(b, ez->vec_not(undef_b));
std::vector<int> yX = ez->vec_and(ez->vec_or(undef_a, undef_b), ez->vec_not(ez->vec_or(a1, b1)));
ez->assume(ez->vec_eq(yX, undef_y));
}
else if (cell->type.in(ID($xor), ID($xnor), ID($_XOR_), ID($_XNOR_))) {
std::vector<int> yX = ez->vec_or(undef_a, undef_b);
ez->assume(ez->vec_eq(yX, undef_y));
}
else if (cell->type == ID($_ANDNOT_)) {
std::vector<int> a0 = ez->vec_and(ez->vec_not(a), ez->vec_not(undef_a));
std::vector<int> b1 = ez->vec_and(b, ez->vec_not(undef_b));
std::vector<int> yX = ez->vec_and(ez->vec_or(undef_a, undef_b), ez->vec_not(ez->vec_or(a0, b1)));
ez->assume(ez->vec_eq(yX, undef_y));
}
else if (cell->type == ID($_ORNOT_)) {
std::vector<int> a1 = ez->vec_and(a, ez->vec_not(undef_a));
std::vector<int> b0 = ez->vec_and(ez->vec_not(b), ez->vec_not(undef_b));
std::vector<int> yX = ez->vec_and(ez->vec_or(undef_a, undef_b), ez->vec_not(ez->vec_or(a1, b0)));
ez->assume(ez->vec_eq(yX, undef_y));
}
else
log_abort();
undefGating(y, yy, undef_y);
}
else if (model_undef)
{
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type.in(ID($_AOI3_), ID($_OAI3_), ID($_AOI4_), ID($_OAI4_)))
{
bool aoi_mode = cell->type.in(ID($_AOI3_), ID($_AOI4_));
bool three_mode = cell->type.in(ID($_AOI3_), ID($_OAI3_));
int a = importDefSigSpec(cell->getPort(ID::A), timestep).at(0);
int b = importDefSigSpec(cell->getPort(ID::B), timestep).at(0);
int c = importDefSigSpec(cell->getPort(ID::C), timestep).at(0);
int d = three_mode ? (aoi_mode ? ez->CONST_TRUE : ez->CONST_FALSE) : importDefSigSpec(cell->getPort(ID::D), timestep).at(0);
int y = importDefSigSpec(cell->getPort(ID::Y), timestep).at(0);
int yy = model_undef ? ez->literal() : y;
if (cell->type.in(ID($_AOI3_), ID($_AOI4_)))
ez->assume(ez->IFF(ez->NOT(ez->OR(ez->AND(a, b), ez->AND(c, d))), yy));
else
ez->assume(ez->IFF(ez->NOT(ez->AND(ez->OR(a, b), ez->OR(c, d))), yy));
if (model_undef)
{
int undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep).at(0);
int undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep).at(0);
int undef_c = importUndefSigSpec(cell->getPort(ID::C), timestep).at(0);
int undef_d = three_mode ? ez->CONST_FALSE : importUndefSigSpec(cell->getPort(ID::D), timestep).at(0);
int undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep).at(0);
if (aoi_mode)
{
int a0 = ez->AND(ez->NOT(a), ez->NOT(undef_a));
int b0 = ez->AND(ez->NOT(b), ez->NOT(undef_b));
int c0 = ez->AND(ez->NOT(c), ez->NOT(undef_c));
int d0 = ez->AND(ez->NOT(d), ez->NOT(undef_d));
int ab = ez->AND(a, b), cd = ez->AND(c, d);
int undef_ab = ez->AND(ez->OR(undef_a, undef_b), ez->NOT(ez->OR(a0, b0)));
int undef_cd = ez->AND(ez->OR(undef_c, undef_d), ez->NOT(ez->OR(c0, d0)));
int ab1 = ez->AND(ab, ez->NOT(undef_ab));
int cd1 = ez->AND(cd, ez->NOT(undef_cd));
int yX = ez->AND(ez->OR(undef_ab, undef_cd), ez->NOT(ez->OR(ab1, cd1)));
ez->assume(ez->IFF(yX, undef_y));
}
else
{
int a1 = ez->AND(a, ez->NOT(undef_a));
int b1 = ez->AND(b, ez->NOT(undef_b));
int c1 = ez->AND(c, ez->NOT(undef_c));
int d1 = ez->AND(d, ez->NOT(undef_d));
int ab = ez->OR(a, b), cd = ez->OR(c, d);
int undef_ab = ez->AND(ez->OR(undef_a, undef_b), ez->NOT(ez->OR(a1, b1)));
int undef_cd = ez->AND(ez->OR(undef_c, undef_d), ez->NOT(ez->OR(c1, d1)));
int ab0 = ez->AND(ez->NOT(ab), ez->NOT(undef_ab));
int cd0 = ez->AND(ez->NOT(cd), ez->NOT(undef_cd));
int yX = ez->AND(ez->OR(undef_ab, undef_cd), ez->NOT(ez->OR(ab0, cd0)));
ez->assume(ez->IFF(yX, undef_y));
}
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type.in(ID($_NOT_), ID($not)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidthUnary(a, y, cell);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
ez->assume(ez->vec_eq(ez->vec_not(a), yy));
if (model_undef) {
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidthUnary(undef_a, undef_y, cell, false);
ez->assume(ez->vec_eq(undef_a, undef_y));
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type == ID($bweqx))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> bweqx = ez->vec_not(ez->vec_xor(a, b));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> both_undef = ez->vec_and(undef_a, undef_b);
std::vector<int> both_def = ez->vec_and(ez->vec_not(undef_a), ez->vec_not(undef_b));
bweqx = ez->vec_or(both_undef, ez->vec_and(both_def, bweqx));
for (int yx : undef_y)
ez->assume(ez->NOT(yx));
}
ez->assume(ez->vec_eq(bweqx, y));
return true;
}
if (cell->type.in(ID($_MUX_), ID($mux), ID($_NMUX_), ID($bwmux)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> s = importDefSigSpec(cell->getPort(ID::S), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
if (cell->type == ID($_NMUX_))
ez->assume(ez->vec_eq(ez->vec_not(ez->vec_ite(s.at(0), b, a)), yy));
else if (cell->type == ID($bwmux))
ez->assume(ez->vec_eq(ez->vec_ite(s, b, a), yy));
else
ez->assume(ez->vec_eq(ez->vec_ite(s.at(0), b, a), yy));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_s = importUndefSigSpec(cell->getPort(ID::S), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> unequal_ab = ez->vec_not(ez->vec_iff(a, b));
std::vector<int> undef_ab = ez->vec_or(unequal_ab, ez->vec_or(undef_a, undef_b));
std::vector<int> yX;
if (cell->type == ID($bwmux))
yX = ez->vec_ite(undef_s, undef_ab, ez->vec_ite(s, undef_b, undef_a));
else
yX = ez->vec_ite(undef_s.at(0), undef_ab, ez->vec_ite(s.at(0), undef_b, undef_a));
ez->assume(ez->vec_eq(yX, undef_y));
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type == ID($bmux))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> s = importDefSigSpec(cell->getPort(ID::S), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> undef_a, undef_s, undef_y;
if (model_undef)
{
undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
undef_s = importUndefSigSpec(cell->getPort(ID::S), timestep);
undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
}
if (GetSize(s) == 0) {
ez->vec_set(a, y);
if (model_undef)
ez->vec_set(undef_a, undef_y);
} else {
for (int i = GetSize(s)-1; i >= 0; i--)
{
std::vector<int> out = (i == 0) ? y : ez->vec_var(a.size() / 2);
std::vector<int> yy = model_undef ? ez->vec_var(out.size()) : out;
std::vector<int> a0(a.begin(), a.begin() + a.size() / 2);
std::vector<int> a1(a.begin() + a.size() / 2, a.end());
ez->assume(ez->vec_eq(ez->vec_ite(s.at(i), a1, a0), yy));
if (model_undef)
{
std::vector<int> undef_out = (i == 0) ? undef_y : ez->vec_var(a.size() / 2);
std::vector<int> undef_a0(undef_a.begin(), undef_a.begin() + a.size() / 2);
std::vector<int> undef_a1(undef_a.begin() + a.size() / 2, undef_a.end());
std::vector<int> unequal_ab = ez->vec_not(ez->vec_iff(a0, a1));
std::vector<int> undef_ab = ez->vec_or(unequal_ab, ez->vec_or(undef_a0, undef_a1));
std::vector<int> yX = ez->vec_ite(undef_s.at(i), undef_ab, ez->vec_ite(s.at(i), undef_a1, undef_a0));
ez->assume(ez->vec_eq(yX, undef_out));
undefGating(out, yy, undef_out);
undef_a = undef_out;
}
a = out;
}
}
return true;
}
if (cell->type == ID($demux))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> s = importDefSigSpec(cell->getPort(ID::S), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
std::vector<int> undef_a, undef_s, undef_y;
if (model_undef)
{
undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
undef_s = importUndefSigSpec(cell->getPort(ID::S), timestep);
undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
}
if (GetSize(s) == 0) {
ez->vec_set(a, y);
if (model_undef)
ez->vec_set(undef_a, undef_y);
} else {
for (int i = 0; i < (1 << GetSize(s)); i++)
{
std::vector<int> ss;
for (int j = 0; j < GetSize(s); j++) {
if (i & 1 << j)
ss.push_back(s[j]);
else
ss.push_back(ez->NOT(s[j]));
}
int sss = ez->expression(ezSAT::OpAnd, ss);
for (int j = 0; j < GetSize(a); j++) {
ez->SET(ez->AND(sss, a[j]), yy.at(i * GetSize(a) + j));
}
if (model_undef)
{
int s0 = ez->expression(ezSAT::OpOr, ez->vec_and(ez->vec_not(ss), ez->vec_not(undef_s)));
int us = ez->AND(ez->NOT(s0), ez->expression(ezSAT::OpOr, undef_s));
for (int j = 0; j < GetSize(a); j++) {
int a0 = ez->AND(ez->NOT(a[j]), ez->NOT(undef_a[j]));
int yX = ez->AND(ez->OR(us, undef_a[j]), ez->NOT(ez->OR(s0, a0)));
ez->SET(yX, undef_y.at(i * GetSize(a) + j));
}
}
}
if (model_undef)
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type == ID($pmux))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> s = importDefSigSpec(cell->getPort(ID::S), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
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);
}
ez->assume(ez->vec_eq(tmp, yy));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_s = importUndefSigSpec(cell->getPort(ID::S), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
int all_undef = ez->CONST_FALSE;
int found_active = ez->CONST_FALSE;
std::vector<int> undef_tmp = undef_a;
for (size_t i = 0; i < s.size(); i++)
{
std::vector<int> part_of_undef_b(undef_b.begin()+i*a.size(), undef_b.begin()+(i+1)*a.size());
undef_tmp = ez->vec_ite(s.at(i), part_of_undef_b, undef_tmp);
all_undef = ez->OR(all_undef, undef_s.at(i));
all_undef = ez->OR(all_undef, ez->AND(s.at(i), found_active));
found_active = ez->OR(found_active, s.at(i));
}
undef_tmp = ez->vec_or(undef_tmp, std::vector<int>(a.size(), all_undef));
ez->assume(ez->vec_eq(undef_tmp, undef_y));
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type.in(ID($pos), ID($neg)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidthUnary(a, y, cell);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
if (cell->type == ID($pos)) {
ez->assume(ez->vec_eq(a, yy));
} else {
std::vector<int> zero(a.size(), ez->CONST_FALSE);
ez->assume(ez->vec_eq(ez->vec_sub(zero, a), yy));
}
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidthUnary(undef_a, undef_y, cell);
if (cell->type == ID($pos)) {
ez->assume(ez->vec_eq(undef_a, undef_y));
} else {
int undef_any_a = ez->expression(ezSAT::OpOr, undef_a);
std::vector<int> undef_y_bits(undef_y.size(), undef_any_a);
ez->assume(ez->vec_eq(undef_y_bits, undef_y));
}
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type.in(ID($reduce_and), ID($reduce_or), ID($reduce_xor), ID($reduce_xnor), ID($reduce_bool), ID($logic_not)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
if (cell->type == ID($reduce_and))
ez->SET(ez->expression(ez->OpAnd, a), yy.at(0));
if (cell->type.in(ID($reduce_or), ID($reduce_bool)))
ez->SET(ez->expression(ez->OpOr, a), yy.at(0));
if (cell->type == ID($reduce_xor))
ez->SET(ez->expression(ez->OpXor, a), yy.at(0));
if (cell->type == ID($reduce_xnor))
ez->SET(ez->NOT(ez->expression(ez->OpXor, a)), yy.at(0));
if (cell->type == ID($logic_not))
ez->SET(ez->NOT(ez->expression(ez->OpOr, a)), yy.at(0));
for (size_t i = 1; i < y.size(); i++)
ez->SET(ez->CONST_FALSE, yy.at(i));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
int aX = ez->expression(ezSAT::OpOr, undef_a);
if (cell->type == ID($reduce_and)) {
int a0 = ez->expression(ezSAT::OpOr, ez->vec_and(ez->vec_not(a), ez->vec_not(undef_a)));
ez->assume(ez->IFF(ez->AND(ez->NOT(a0), aX), undef_y.at(0)));
}
else if (cell->type.in(ID($reduce_or), ID($reduce_bool), ID($logic_not))) {
int a1 = ez->expression(ezSAT::OpOr, ez->vec_and(a, ez->vec_not(undef_a)));
ez->assume(ez->IFF(ez->AND(ez->NOT(a1), aX), undef_y.at(0)));
}
else if (cell->type.in(ID($reduce_xor), ID($reduce_xnor))) {
ez->assume(ez->IFF(aX, undef_y.at(0)));
} else
log_abort();
for (size_t i = 1; i < undef_y.size(); i++)
ez->SET(ez->CONST_FALSE, undef_y.at(i));
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type.in(ID($logic_and), ID($logic_or)))
{
std::vector<int> vec_a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> vec_b = importDefSigSpec(cell->getPort(ID::B), timestep);
int a = ez->expression(ez->OpOr, vec_a);
int b = ez->expression(ez->OpOr, vec_b);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
if (cell->type == ID($logic_and))
ez->SET(ez->expression(ez->OpAnd, a, b), yy.at(0));
else
ez->SET(ez->expression(ez->OpOr, a, b), yy.at(0));
for (size_t i = 1; i < y.size(); i++)
ez->SET(ez->CONST_FALSE, yy.at(i));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
int a0 = ez->NOT(ez->OR(ez->expression(ezSAT::OpOr, vec_a), ez->expression(ezSAT::OpOr, undef_a)));
int b0 = ez->NOT(ez->OR(ez->expression(ezSAT::OpOr, vec_b), ez->expression(ezSAT::OpOr, undef_b)));
int a1 = ez->expression(ezSAT::OpOr, ez->vec_and(vec_a, ez->vec_not(undef_a)));
int b1 = ez->expression(ezSAT::OpOr, ez->vec_and(vec_b, ez->vec_not(undef_b)));
int aX = ez->expression(ezSAT::OpOr, undef_a);
int bX = ez->expression(ezSAT::OpOr, undef_b);
if (cell->type == ID($logic_and))
ez->SET(ez->AND(ez->OR(aX, bX), ez->NOT(ez->AND(a1, b1)), ez->NOT(a0), ez->NOT(b0)), undef_y.at(0));
else if (cell->type == ID($logic_or))
ez->SET(ez->AND(ez->OR(aX, bX), ez->NOT(ez->AND(a0, b0)), ez->NOT(a1), ez->NOT(b1)), undef_y.at(0));
else
log_abort();
for (size_t i = 1; i < undef_y.size(); i++)
ez->SET(ez->CONST_FALSE, undef_y.at(i));
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type.in(ID($lt), ID($le), ID($eq), ID($ne), ID($eqx), ID($nex), ID($ge), ID($gt)))
{
bool is_signed = cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool();
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(a, b, cell);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
if (model_undef && cell->type.in(ID($eqx), ID($nex))) {
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
extendSignalWidth(undef_a, undef_b, cell, true);
a = ez->vec_or(a, undef_a);
b = ez->vec_or(b, undef_b);
}
if (cell->type == ID($lt))
ez->SET(is_signed ? ez->vec_lt_signed(a, b) : ez->vec_lt_unsigned(a, b), yy.at(0));
if (cell->type == ID($le))
ez->SET(is_signed ? ez->vec_le_signed(a, b) : ez->vec_le_unsigned(a, b), yy.at(0));
if (cell->type.in(ID($eq), ID($eqx)))
ez->SET(ez->vec_eq(a, b), yy.at(0));
if (cell->type.in(ID($ne), ID($nex)))
ez->SET(ez->vec_ne(a, b), yy.at(0));
if (cell->type == ID($ge))
ez->SET(is_signed ? ez->vec_ge_signed(a, b) : ez->vec_ge_unsigned(a, b), yy.at(0));
if (cell->type == ID($gt))
ez->SET(is_signed ? ez->vec_gt_signed(a, b) : ez->vec_gt_unsigned(a, b), yy.at(0));
for (size_t i = 1; i < y.size(); i++)
ez->SET(ez->CONST_FALSE, yy.at(i));
if (model_undef && cell->type.in(ID($eqx), ID($nex)))
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(undef_a, undef_b, cell, true);
if (cell->type == ID($eqx))
yy.at(0) = ez->AND(yy.at(0), ez->vec_eq(undef_a, undef_b));
else
yy.at(0) = ez->OR(yy.at(0), ez->vec_ne(undef_a, undef_b));
for (size_t i = 0; i < y.size(); i++)
ez->SET(ez->CONST_FALSE, undef_y.at(i));
ez->assume(ez->vec_eq(y, yy));
}
else if (model_undef && cell->type.in(ID($eq), ID($ne)))
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(undef_a, undef_b, cell, true);
int undef_any_a = ez->expression(ezSAT::OpOr, undef_a);
int undef_any_b = ez->expression(ezSAT::OpOr, undef_b);
int undef_any = ez->OR(undef_any_a, undef_any_b);
std::vector<int> masked_a_bits = ez->vec_or(a, ez->vec_or(undef_a, undef_b));
std::vector<int> masked_b_bits = ez->vec_or(b, ez->vec_or(undef_a, undef_b));
int masked_ne = ez->vec_ne(masked_a_bits, masked_b_bits);
int undef_y_bit = ez->AND(undef_any, ez->NOT(masked_ne));
for (size_t i = 1; i < undef_y.size(); i++)
ez->SET(ez->CONST_FALSE, undef_y.at(i));
ez->SET(undef_y_bit, undef_y.at(0));
undefGating(y, yy, undef_y);
}
else
{
if (model_undef) {
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
undefGating(y, yy, undef_y);
}
log_assert(!model_undef || arith_undef_handled);
}
return true;
}
if (cell->type.in(ID($shl), ID($shr), ID($sshl), ID($sshr), ID($shift), ID($shiftx)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
int extend_bit = ez->CONST_FALSE;
if (cell->parameters[ID::A_SIGNED].as_bool())
extend_bit = a.back();
while (y.size() < a.size())
y.push_back(ez->literal());
while (y.size() > a.size())
a.push_back(extend_bit);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
std::vector<int> shifted_a;
if (cell->type.in( ID($shl), ID($sshl)))
shifted_a = ez->vec_shift_left(a, b, false, ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type == ID($shr))
shifted_a = ez->vec_shift_right(a, b, false, ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type == ID($sshr))
shifted_a = ez->vec_shift_right(a, b, false, cell->parameters[ID::A_SIGNED].as_bool() ? a.back() : ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type.in(ID($shift), ID($shiftx)))
shifted_a = ez->vec_shift_right(a, b, cell->parameters[ID::B_SIGNED].as_bool(), ez->CONST_FALSE, ez->CONST_FALSE);
ez->assume(ez->vec_eq(shifted_a, yy));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> undef_a_shifted;
extend_bit = cell->type == ID($shiftx) ? ez->CONST_TRUE : ez->CONST_FALSE;
if (cell->parameters[ID::A_SIGNED].as_bool())
extend_bit = undef_a.back();
while (undef_y.size() < undef_a.size())
undef_y.push_back(ez->literal());
while (undef_y.size() > undef_a.size())
undef_a.push_back(extend_bit);
if (cell->type.in(ID($shl), ID($sshl)))
undef_a_shifted = ez->vec_shift_left(undef_a, b, false, ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type == ID($shr))
undef_a_shifted = ez->vec_shift_right(undef_a, b, false, ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type == ID($sshr))
undef_a_shifted = ez->vec_shift_right(undef_a, b, false, cell->parameters[ID::A_SIGNED].as_bool() ? undef_a.back() : ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type == ID($shift))
undef_a_shifted = ez->vec_shift_right(undef_a, b, cell->parameters[ID::B_SIGNED].as_bool(), ez->CONST_FALSE, ez->CONST_FALSE);
if (cell->type == ID($shiftx))
undef_a_shifted = ez->vec_shift_right(undef_a, b, cell->parameters[ID::B_SIGNED].as_bool(), ez->CONST_TRUE, ez->CONST_TRUE);
int undef_any_b = ez->expression(ezSAT::OpOr, undef_b);
std::vector<int> undef_all_y_bits(undef_y.size(), undef_any_b);
ez->assume(ez->vec_eq(ez->vec_or(undef_a_shifted, undef_all_y_bits), undef_y));
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type == ID($mul))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(a, b, y, cell);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
std::vector<int> tmp(a.size(), ez->CONST_FALSE);
for (int i = 0; i < int(a.size()); i++)
{
std::vector<int> shifted_a(a.size(), ez->CONST_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, yy));
if (model_undef) {
log_assert(arith_undef_handled);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type == ID($macc))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
Macc macc;
macc.from_cell(cell);
std::vector<int> tmp(GetSize(y), ez->CONST_FALSE);
for (auto &port : macc.ports)
{
std::vector<int> in_a = importDefSigSpec(port.in_a, timestep);
std::vector<int> in_b = importDefSigSpec(port.in_b, timestep);
while (GetSize(in_a) < GetSize(y))
in_a.push_back(port.is_signed && !in_a.empty() ? in_a.back() : ez->CONST_FALSE);
in_a.resize(GetSize(y));
if (GetSize(in_b))
{
while (GetSize(in_b) < GetSize(y))
in_b.push_back(port.is_signed && !in_b.empty() ? in_b.back() : ez->CONST_FALSE);
in_b.resize(GetSize(y));
for (int i = 0; i < GetSize(in_b); i++) {
std::vector<int> shifted_a(in_a.size(), ez->CONST_FALSE);
for (int j = i; j < int(in_a.size()); j++)
shifted_a.at(j) = in_a.at(j-i);
if (port.do_subtract)
tmp = ez->vec_ite(in_b.at(i), ez->vec_sub(tmp, shifted_a), tmp);
else
tmp = ez->vec_ite(in_b.at(i), ez->vec_add(tmp, shifted_a), tmp);
}
}
else
{
if (port.do_subtract)
tmp = ez->vec_sub(tmp, in_a);
else
tmp = ez->vec_add(tmp, in_a);
}
}
for (int i = 0; i < GetSize(b); i++) {
std::vector<int> val(GetSize(y), ez->CONST_FALSE);
val.at(0) = b.at(i);
tmp = ez->vec_add(tmp, val);
}
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> undef_b = importUndefSigSpec(cell->getPort(ID::B), timestep);
int undef_any_a = ez->expression(ezSAT::OpOr, undef_a);
int undef_any_b = ez->expression(ezSAT::OpOr, undef_b);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
ez->assume(ez->vec_eq(undef_y, std::vector<int>(GetSize(y), ez->OR(undef_any_a, undef_any_b))));
undefGating(y, tmp, undef_y);
}
else
ez->assume(ez->vec_eq(y, tmp));
return true;
}
if (cell->type.in(ID($div), ID($mod), ID($divfloor), ID($modfloor)))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> b = importDefSigSpec(cell->getPort(ID::B), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
extendSignalWidth(a, b, y, cell);
std::vector<int> yy = model_undef ? ez->vec_var(y.size()) : y;
std::vector<int> a_u, b_u;
if (cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool()) {
a_u = ez->vec_ite(a.back(), ez->vec_neg(a), a);
b_u = ez->vec_ite(b.back(), ez->vec_neg(b), b);
} else {
a_u = a;
b_u = b;
}
std::vector<int> chain_buf = a_u;
std::vector<int> y_u(a_u.size(), ez->CONST_FALSE);
for (int i = int(a.size())-1; i >= 0; i--)
{
chain_buf.insert(chain_buf.end(), chain_buf.size(), ez->CONST_FALSE);
std::vector<int> b_shl(i, ez->CONST_FALSE);
b_shl.insert(b_shl.end(), b_u.begin(), b_u.end());
b_shl.insert(b_shl.end(), chain_buf.size()-b_shl.size(), ez->CONST_FALSE);
y_u.at(i) = ez->vec_ge_unsigned(chain_buf, b_shl);
chain_buf = ez->vec_ite(y_u.at(i), ez->vec_sub(chain_buf, b_shl), chain_buf);
chain_buf.erase(chain_buf.begin() + a_u.size(), chain_buf.end());
}
std::vector<int> y_tmp = ignore_div_by_zero ? yy : ez->vec_var(y.size());
// modulo calculation
std::vector<int> modulo_trunc;
int floored_eq_trunc;
if (cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool()) {
modulo_trunc = ez->vec_ite(a.back(), ez->vec_neg(chain_buf), chain_buf);
// floor == trunc when sgn(a) == sgn(b) or trunc == 0
floored_eq_trunc = ez->OR(ez->IFF(a.back(), b.back()), ez->NOT(ez->expression(ezSAT::OpOr, modulo_trunc)));
} else {
modulo_trunc = chain_buf;
floored_eq_trunc = ez->CONST_TRUE;
}
if (cell->type == ID($div)) {
if (cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool())
ez->assume(ez->vec_eq(y_tmp, ez->vec_ite(ez->XOR(a.back(), b.back()), ez->vec_neg(y_u), y_u)));
else
ez->assume(ez->vec_eq(y_tmp, y_u));
} else if (cell->type == ID($mod)) {
ez->assume(ez->vec_eq(y_tmp, modulo_trunc));
} else if (cell->type == ID($divfloor)) {
if (cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool())
ez->assume(ez->vec_eq(y_tmp, ez->vec_ite(
ez->XOR(a.back(), b.back()),
ez->vec_neg(ez->vec_ite(
ez->vec_reduce_or(modulo_trunc),
ez->vec_add(y_u, ez->vec_const_unsigned(1, y_u.size())),
y_u
)),
y_u
)));
else
ez->assume(ez->vec_eq(y_tmp, y_u));
} else if (cell->type == ID($modfloor)) {
ez->assume(ez->vec_eq(y_tmp, ez->vec_ite(floored_eq_trunc, modulo_trunc, ez->vec_add(modulo_trunc, b))));
}
if (ignore_div_by_zero) {
ez->assume(ez->expression(ezSAT::OpOr, b));
} else {
std::vector<int> div_zero_result;
if (cell->type.in(ID($div), ID($divfloor))) {
if (cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool()) {
std::vector<int> all_ones(y.size(), ez->CONST_TRUE);
std::vector<int> only_first_one(y.size(), ez->CONST_FALSE);
only_first_one.at(0) = ez->CONST_TRUE;
div_zero_result = ez->vec_ite(a.back(), only_first_one, all_ones);
} else {
div_zero_result.insert(div_zero_result.end(), cell->getPort(ID::A).size(), ez->CONST_TRUE);
div_zero_result.insert(div_zero_result.end(), y.size() - div_zero_result.size(), ez->CONST_FALSE);
}
} else if (cell->type.in(ID($mod), ID($modfloor))) {
// a mod 0 = a
int copy_a_bits = min(cell->getPort(ID::A).size(), cell->getPort(ID::B).size());
div_zero_result.insert(div_zero_result.end(), a.begin(), a.begin() + copy_a_bits);
if (cell->parameters[ID::A_SIGNED].as_bool() && cell->parameters[ID::B_SIGNED].as_bool())
div_zero_result.insert(div_zero_result.end(), y.size() - div_zero_result.size(), div_zero_result.back());
else
div_zero_result.insert(div_zero_result.end(), y.size() - div_zero_result.size(), ez->CONST_FALSE);
}
ez->assume(ez->vec_eq(yy, ez->vec_ite(ez->expression(ezSAT::OpOr, b), y_tmp, div_zero_result)));
}
if (model_undef) {
log_assert(arith_undef_handled);
std::vector<int> undef_y = importUndefSigSpec(cell->getPort(ID::Y), timestep);
undefGating(y, yy, undef_y);
}
return true;
}
if (cell->type == ID($lut))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> y = importDefSigSpec(cell->getPort(ID::Y), timestep);
std::vector<int> lut;
for (auto bit : cell->getParam(ID::LUT).bits)
lut.push_back(bit == State::S1 ? ez->CONST_TRUE : ez->CONST_FALSE);
while (GetSize(lut) < (1 << GetSize(a)))
lut.push_back(ez->CONST_FALSE);
lut.resize(1 << GetSize(a));
if (model_undef)
{
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);
std::vector<int> t(lut), u(GetSize(t), ez->CONST_FALSE);
for (int i = GetSize(a)-1; i >= 0; i--)
{
std::vector<int> t0(t.begin(), t.begin() + GetSize(t)/2);
std::vector<int> t1(t.begin() + GetSize(t)/2, t.end());
std::vector<int> u0(u.begin(), u.begin() + GetSize(u)/2);
std::vector<int> u1(u.begin() + GetSize(u)/2, u.end());
t = ez->vec_ite(a[i], t1, t0);
u = ez->vec_ite(undef_a[i], ez->vec_or(ez->vec_xor(t0, t1), ez->vec_or(u0, u1)), ez->vec_ite(a[i], u1, u0));
}
log_assert(GetSize(t) == 1);
log_assert(GetSize(u) == 1);
undefGating(y, t, u);
ez->assume(ez->vec_eq(importUndefSigSpec(cell->getPort(ID::Y), timestep), u));
}
else
{
std::vector<int> t = lut;
for (int i = GetSize(a)-1; i >= 0; i--)
{
std::vector<int> t0(t.begin(), t.begin() + GetSize(t)/2);
std::vector<int> t1(t.begin() + GetSize(t)/2, t.end());
t = ez->vec_ite(a[i], t1, t0);
}
log_assert(GetSize(t) == 1);
ez->assume(ez->vec_eq(y, t));
}
return true;
}
if (cell->type == ID($sop))
{
std::vector<int> a = importDefSigSpec(cell->getPort(ID::A), timestep);
int y = importDefSigSpec(cell->getPort(ID::Y), timestep).at(0);
int width = cell->getParam(ID::WIDTH).as_int();
int depth = cell->getParam(ID::DEPTH).as_int();
vector<State> table_raw = cell->getParam(ID::TABLE).bits;
while (GetSize(table_raw) < 2*width*depth)
table_raw.push_back(State::S0);
vector<vector<int>> table(depth);
for (int i = 0; i < depth; i++)
for (int j = 0; j < width; j++)
{
bool pat0 = (table_raw[2*width*i + 2*j + 0] == State::S1);
bool pat1 = (table_raw[2*width*i + 2*j + 1] == State::S1);
if (pat0 && !pat1)
table.at(i).push_back(0);
else if (!pat0 && pat1)
table.at(i).push_back(1);
else
table.at(i).push_back(-1);
}
if (model_undef)
{
std::vector<int> products, undef_products;
std::vector<int> undef_a = importUndefSigSpec(cell->getPort(ID::A), timestep);