2 * yosys -- Yosys Open SYnthesis Suite
4 * Copyright (C) 2012 Clifford Wolf <clifford@clifford.at>
6 * Permission to use, copy, modify, and/or distribute this software for any
7 * purpose with or without fee is hereby granted, provided that the above
8 * copyright notice and this permission notice appear in all copies.
10 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
11 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
12 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
13 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
14 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
15 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
16 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
23 #include "kernel/rtlil.h"
24 #include "kernel/sigtools.h"
25 #include "kernel/celltypes.h"
27 #include "libs/ezsat/ezminisat.h"
28 typedef ezMiniSAT ezDefaultSAT
;
35 SigPool initial_state
;
36 std::map
<std::string
, RTLIL::SigSpec
> asserts_a
, asserts_en
;
37 bool ignore_div_by_zero
;
40 SatGen(ezSAT
*ez
, SigMap
*sigmap
, std::string prefix
= std::string()) :
41 ez(ez
), sigmap(sigmap
), prefix(prefix
), ignore_div_by_zero(false), model_undef(false)
45 void setContext(SigMap
*sigmap
, std::string prefix
= std::string())
47 this->sigmap
= sigmap
;
48 this->prefix
= prefix
;
51 std::vector
<int> importSigSpecWorker(RTLIL::SigSpec
&sig
, std::string
&pf
, bool undef_mode
, bool dup_undef
)
53 log_assert(!undef_mode
|| model_undef
);
57 vec
.reserve(SIZE(sig
));
60 if (bit
.wire
== NULL
) {
61 if (model_undef
&& dup_undef
&& bit
== RTLIL::State::Sx
)
62 vec
.push_back(ez
->frozen_literal());
64 vec
.push_back(bit
== (undef_mode
? RTLIL::State::Sx
: RTLIL::State::S1
) ? ez
->TRUE
: ez
->FALSE
);
66 std::string name
= pf
+ stringf(bit
.wire
->width
== 1 ? "%s" : "%s [%d]", RTLIL::id2cstr(bit
.wire
->name
), bit
.offset
);
67 vec
.push_back(ez
->frozen_literal(name
));
72 std::vector
<int> importSigSpec(RTLIL::SigSpec sig
, int timestep
= -1)
74 log_assert(timestep
!= 0);
75 std::string pf
= prefix
+ (timestep
== -1 ? "" : stringf("@%d:", timestep
));
76 return importSigSpecWorker(sig
, pf
, false, false);
79 std::vector
<int> importDefSigSpec(RTLIL::SigSpec sig
, int timestep
= -1)
81 log_assert(timestep
!= 0);
82 std::string pf
= prefix
+ (timestep
== -1 ? "" : stringf("@%d:", timestep
));
83 return importSigSpecWorker(sig
, pf
, false, true);
86 std::vector
<int> importUndefSigSpec(RTLIL::SigSpec sig
, int timestep
= -1)
88 log_assert(timestep
!= 0);
89 std::string pf
= "undef:" + prefix
+ (timestep
== -1 ? "" : stringf("@%d:", timestep
));
90 return importSigSpecWorker(sig
, pf
, true, false);
93 void getAsserts(RTLIL::SigSpec
&sig_a
, RTLIL::SigSpec
&sig_en
, int timestep
= -1)
95 std::string pf
= prefix
+ (timestep
== -1 ? "" : stringf("@%d:", timestep
));
96 sig_a
= asserts_a
[pf
];
97 sig_en
= asserts_en
[pf
];
100 int importAsserts(int timestep
= -1)
102 std::vector
<int> check_bits
, enable_bits
;
103 std::string pf
= prefix
+ (timestep
== -1 ? "" : stringf("@%d:", timestep
));
105 check_bits
= ez
->vec_and(ez
->vec_not(importUndefSigSpec(asserts_a
[pf
], timestep
)), importDefSigSpec(asserts_a
[pf
], timestep
));
106 enable_bits
= ez
->vec_and(ez
->vec_not(importUndefSigSpec(asserts_en
[pf
], timestep
)), importDefSigSpec(asserts_en
[pf
], timestep
));
108 check_bits
= importDefSigSpec(asserts_a
[pf
], timestep
);
109 enable_bits
= importDefSigSpec(asserts_en
[pf
], timestep
);
111 return ez
->vec_reduce_and(ez
->vec_or(check_bits
, ez
->vec_not(enable_bits
)));
114 int signals_eq(RTLIL::SigSpec lhs
, RTLIL::SigSpec rhs
, int timestep_lhs
= -1, int timestep_rhs
= -1)
116 if (timestep_rhs
< 0)
117 timestep_rhs
= timestep_lhs
;
119 log_assert(lhs
.size() == rhs
.size());
121 std::vector
<int> vec_lhs
= importSigSpec(lhs
, timestep_lhs
);
122 std::vector
<int> vec_rhs
= importSigSpec(rhs
, timestep_rhs
);
125 return ez
->vec_eq(vec_lhs
, vec_rhs
);
127 std::vector
<int> undef_lhs
= importUndefSigSpec(lhs
, timestep_lhs
);
128 std::vector
<int> undef_rhs
= importUndefSigSpec(rhs
, timestep_rhs
);
130 std::vector
<int> eq_bits
;
131 for (int i
= 0; i
< lhs
.size(); i
++)
132 eq_bits
.push_back(ez
->AND(ez
->IFF(undef_lhs
.at(i
), undef_rhs
.at(i
)),
133 ez
->IFF(ez
->OR(vec_lhs
.at(i
), undef_lhs
.at(i
)), ez
->OR(vec_rhs
.at(i
), undef_rhs
.at(i
)))));
134 return ez
->expression(ezSAT::OpAnd
, eq_bits
);
137 void extendSignalWidth(std::vector
<int> &vec_a
, std::vector
<int> &vec_b
, RTLIL::Cell
*cell
, size_t y_width
= 0, bool forced_signed
= false)
139 bool is_signed
= forced_signed
;
140 if (!forced_signed
&& cell
->parameters
.count("\\A_SIGNED") > 0 && cell
->parameters
.count("\\B_SIGNED") > 0)
141 is_signed
= cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool();
142 while (vec_a
.size() < vec_b
.size() || vec_a
.size() < y_width
)
143 vec_a
.push_back(is_signed
&& vec_a
.size() > 0 ? vec_a
.back() : ez
->FALSE
);
144 while (vec_b
.size() < vec_a
.size() || vec_b
.size() < y_width
)
145 vec_b
.push_back(is_signed
&& vec_b
.size() > 0 ? vec_b
.back() : ez
->FALSE
);
148 void extendSignalWidth(std::vector
<int> &vec_a
, std::vector
<int> &vec_b
, std::vector
<int> &vec_y
, RTLIL::Cell
*cell
, bool forced_signed
= false)
150 extendSignalWidth(vec_a
, vec_b
, cell
, vec_y
.size(), forced_signed
);
151 while (vec_y
.size() < vec_a
.size())
152 vec_y
.push_back(ez
->literal());
155 void extendSignalWidthUnary(std::vector
<int> &vec_a
, std::vector
<int> &vec_y
, RTLIL::Cell
*cell
, bool forced_signed
= false)
157 bool is_signed
= forced_signed
|| (cell
->parameters
.count("\\A_SIGNED") > 0 && cell
->parameters
["\\A_SIGNED"].as_bool());
158 while (vec_a
.size() < vec_y
.size())
159 vec_a
.push_back(is_signed
&& vec_a
.size() > 0 ? vec_a
.back() : ez
->FALSE
);
160 while (vec_y
.size() < vec_a
.size())
161 vec_y
.push_back(ez
->literal());
164 void undefGating(std::vector
<int> &vec_y
, std::vector
<int> &vec_yy
, std::vector
<int> &vec_undef
)
166 log_assert(model_undef
);
167 log_assert(vec_y
.size() == vec_yy
.size());
168 if (vec_y
.size() > vec_undef
.size()) {
169 std::vector
<int> trunc_y(vec_y
.begin(), vec_y
.begin() + vec_undef
.size());
170 std::vector
<int> trunc_yy(vec_yy
.begin(), vec_yy
.begin() + vec_undef
.size());
171 ez
->assume(ez
->expression(ezSAT::OpAnd
, ez
->vec_or(vec_undef
, ez
->vec_iff(trunc_y
, trunc_yy
))));
173 log_assert(vec_y
.size() == vec_undef
.size());
174 ez
->assume(ez
->expression(ezSAT::OpAnd
, ez
->vec_or(vec_undef
, ez
->vec_iff(vec_y
, vec_yy
))));
178 bool importCell(RTLIL::Cell
*cell
, int timestep
= -1)
180 bool arith_undef_handled
= false;
181 bool is_arith_compare
= cell
->type
== "$lt" || cell
->type
== "$le" || cell
->type
== "$ge" || cell
->type
== "$gt";
183 if (model_undef
&& (cell
->type
== "$add" || cell
->type
== "$sub" || cell
->type
== "$mul" || cell
->type
== "$div" || cell
->type
== "$mod" || is_arith_compare
))
185 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
186 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
187 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
188 if (is_arith_compare
)
189 extendSignalWidth(undef_a
, undef_b
, cell
, true);
191 extendSignalWidth(undef_a
, undef_b
, undef_y
, cell
, true);
193 int undef_any_a
= ez
->expression(ezSAT::OpOr
, undef_a
);
194 int undef_any_b
= ez
->expression(ezSAT::OpOr
, undef_b
);
195 int undef_y_bit
= ez
->OR(undef_any_a
, undef_any_b
);
197 if (cell
->type
== "$div" || cell
->type
== "$mod") {
198 std::vector
<int> b
= importSigSpec(cell
->getPort("\\B"), timestep
);
199 undef_y_bit
= ez
->OR(undef_y_bit
, ez
->NOT(ez
->expression(ezSAT::OpOr
, b
)));
202 if (is_arith_compare
) {
203 for (size_t i
= 1; i
< undef_y
.size(); i
++)
204 ez
->SET(ez
->FALSE
, undef_y
.at(i
));
205 ez
->SET(undef_y_bit
, undef_y
.at(0));
207 std::vector
<int> undef_y_bits(undef_y
.size(), undef_y_bit
);
208 ez
->assume(ez
->vec_eq(undef_y_bits
, undef_y
));
211 arith_undef_handled
= true;
214 if (cell
->type
== "$_AND_" || cell
->type
== "$_OR_" || cell
->type
== "$_XOR_" ||
215 cell
->type
== "$and" || cell
->type
== "$or" || cell
->type
== "$xor" || cell
->type
== "$xnor" ||
216 cell
->type
== "$add" || cell
->type
== "$sub")
218 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
219 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
220 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
221 extendSignalWidth(a
, b
, y
, cell
);
223 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
225 if (cell
->type
== "$and" || cell
->type
== "$_AND_")
226 ez
->assume(ez
->vec_eq(ez
->vec_and(a
, b
), yy
));
227 if (cell
->type
== "$or" || cell
->type
== "$_OR_")
228 ez
->assume(ez
->vec_eq(ez
->vec_or(a
, b
), yy
));
229 if (cell
->type
== "$xor" || cell
->type
== "$_XOR_")
230 ez
->assume(ez
->vec_eq(ez
->vec_xor(a
, b
), yy
));
231 if (cell
->type
== "$xnor")
232 ez
->assume(ez
->vec_eq(ez
->vec_not(ez
->vec_xor(a
, b
)), yy
));
233 if (cell
->type
== "$add")
234 ez
->assume(ez
->vec_eq(ez
->vec_add(a
, b
), yy
));
235 if (cell
->type
== "$sub")
236 ez
->assume(ez
->vec_eq(ez
->vec_sub(a
, b
), yy
));
238 if (model_undef
&& !arith_undef_handled
)
240 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
241 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
242 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
243 extendSignalWidth(undef_a
, undef_b
, undef_y
, cell
, false);
245 if (cell
->type
== "$and" || cell
->type
== "$_AND_") {
246 std::vector
<int> a0
= ez
->vec_and(ez
->vec_not(a
), ez
->vec_not(undef_a
));
247 std::vector
<int> b0
= ez
->vec_and(ez
->vec_not(b
), ez
->vec_not(undef_b
));
248 std::vector
<int> yX
= ez
->vec_and(ez
->vec_or(undef_a
, undef_b
), ez
->vec_not(ez
->vec_or(a0
, b0
)));
249 ez
->assume(ez
->vec_eq(yX
, undef_y
));
251 else if (cell
->type
== "$or" || cell
->type
== "$_OR_") {
252 std::vector
<int> a1
= ez
->vec_and(a
, ez
->vec_not(undef_a
));
253 std::vector
<int> b1
= ez
->vec_and(b
, ez
->vec_not(undef_b
));
254 std::vector
<int> yX
= ez
->vec_and(ez
->vec_or(undef_a
, undef_b
), ez
->vec_not(ez
->vec_or(a1
, b1
)));
255 ez
->assume(ez
->vec_eq(yX
, undef_y
));
257 else if (cell
->type
== "$xor" || cell
->type
== "$_XOR_" || cell
->type
== "$xnor") {
258 std::vector
<int> yX
= ez
->vec_or(undef_a
, undef_b
);
259 ez
->assume(ez
->vec_eq(yX
, undef_y
));
264 undefGating(y
, yy
, undef_y
);
266 else if (model_undef
)
268 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
269 undefGating(y
, yy
, undef_y
);
274 if (cell
->type
== "$_INV_" || cell
->type
== "$not")
276 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
277 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
278 extendSignalWidthUnary(a
, y
, cell
);
280 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
281 ez
->assume(ez
->vec_eq(ez
->vec_not(a
), yy
));
284 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
285 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
286 extendSignalWidthUnary(undef_a
, undef_y
, cell
, true);
287 ez
->assume(ez
->vec_eq(undef_a
, undef_y
));
288 undefGating(y
, yy
, undef_y
);
293 if (cell
->type
== "$_MUX_" || cell
->type
== "$mux")
295 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
296 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
297 std::vector
<int> s
= importDefSigSpec(cell
->getPort("\\S"), timestep
);
298 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
300 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
301 ez
->assume(ez
->vec_eq(ez
->vec_ite(s
.at(0), b
, a
), yy
));
305 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
306 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
307 std::vector
<int> undef_s
= importUndefSigSpec(cell
->getPort("\\S"), timestep
);
308 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
310 std::vector
<int> unequal_ab
= ez
->vec_not(ez
->vec_iff(a
, b
));
311 std::vector
<int> undef_ab
= ez
->vec_or(unequal_ab
, ez
->vec_or(undef_a
, undef_b
));
312 std::vector
<int> yX
= ez
->vec_ite(undef_s
.at(0), undef_ab
, ez
->vec_ite(s
.at(0), undef_b
, undef_a
));
313 ez
->assume(ez
->vec_eq(yX
, undef_y
));
314 undefGating(y
, yy
, undef_y
);
319 if (cell
->type
== "$pmux" || cell
->type
== "$safe_pmux")
321 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
322 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
323 std::vector
<int> s
= importDefSigSpec(cell
->getPort("\\S"), timestep
);
324 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
326 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
328 std::vector
<int> tmp
= a
;
329 for (size_t i
= 0; i
< s
.size(); i
++) {
330 std::vector
<int> part_of_b(b
.begin()+i
*a
.size(), b
.begin()+(i
+1)*a
.size());
331 tmp
= ez
->vec_ite(s
.at(i
), part_of_b
, tmp
);
333 if (cell
->type
== "$safe_pmux")
334 tmp
= ez
->vec_ite(ez
->onehot(s
, true), tmp
, a
);
335 ez
->assume(ez
->vec_eq(tmp
, yy
));
339 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
340 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
341 std::vector
<int> undef_s
= importUndefSigSpec(cell
->getPort("\\S"), timestep
);
342 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
344 int maybe_one_hot
= ez
->FALSE
;
345 int maybe_many_hot
= ez
->FALSE
;
347 int sure_one_hot
= ez
->FALSE
;
348 int sure_many_hot
= ez
->FALSE
;
350 std::vector
<int> bits_set
= std::vector
<int>(undef_y
.size(), ez
->FALSE
);
351 std::vector
<int> bits_clr
= std::vector
<int>(undef_y
.size(), ez
->FALSE
);
353 for (size_t i
= 0; i
< s
.size(); i
++)
355 std::vector
<int> part_of_b(b
.begin()+i
*a
.size(), b
.begin()+(i
+1)*a
.size());
356 std::vector
<int> part_of_undef_b(undef_b
.begin()+i
*a
.size(), undef_b
.begin()+(i
+1)*a
.size());
358 int maybe_s
= ez
->OR(s
.at(i
), undef_s
.at(i
));
359 int sure_s
= ez
->AND(s
.at(i
), ez
->NOT(undef_s
.at(i
)));
361 maybe_one_hot
= ez
->OR(maybe_one_hot
, maybe_s
);
362 maybe_many_hot
= ez
->OR(maybe_many_hot
, ez
->AND(maybe_one_hot
, maybe_s
));
364 sure_one_hot
= ez
->OR(sure_one_hot
, sure_s
);
365 sure_many_hot
= ez
->OR(sure_many_hot
, ez
->AND(sure_one_hot
, sure_s
));
367 bits_set
= ez
->vec_ite(maybe_s
, ez
->vec_or(bits_set
, ez
->vec_or(bits_set
, ez
->vec_or(part_of_b
, part_of_undef_b
))), bits_set
);
368 bits_clr
= ez
->vec_ite(maybe_s
, ez
->vec_or(bits_clr
, ez
->vec_or(bits_clr
, ez
->vec_or(ez
->vec_not(part_of_b
), part_of_undef_b
))), bits_clr
);
371 int maybe_a
= ez
->NOT(maybe_one_hot
);
373 if (cell
->type
== "$safe_pmux") {
374 maybe_a
= ez
->OR(maybe_a
, maybe_many_hot
);
375 bits_set
= ez
->vec_ite(sure_many_hot
, ez
->vec_or(a
, undef_a
), bits_set
);
376 bits_clr
= ez
->vec_ite(sure_many_hot
, ez
->vec_or(ez
->vec_not(a
), undef_a
), bits_clr
);
379 bits_set
= ez
->vec_ite(maybe_a
, ez
->vec_or(bits_set
, ez
->vec_or(bits_set
, ez
->vec_or(a
, undef_a
))), bits_set
);
380 bits_clr
= ez
->vec_ite(maybe_a
, ez
->vec_or(bits_clr
, ez
->vec_or(bits_clr
, ez
->vec_or(ez
->vec_not(a
), undef_a
))), bits_clr
);
382 ez
->assume(ez
->vec_eq(ez
->vec_not(ez
->vec_xor(bits_set
, bits_clr
)), undef_y
));
383 undefGating(y
, yy
, undef_y
);
388 if (cell
->type
== "$pos" || cell
->type
== "$bu0" || cell
->type
== "$neg")
390 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
391 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
392 extendSignalWidthUnary(a
, y
, cell
);
394 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
396 if (cell
->type
== "$pos" || cell
->type
== "$bu0") {
397 ez
->assume(ez
->vec_eq(a
, yy
));
399 std::vector
<int> zero(a
.size(), ez
->FALSE
);
400 ez
->assume(ez
->vec_eq(ez
->vec_sub(zero
, a
), yy
));
405 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
406 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
407 extendSignalWidthUnary(undef_a
, undef_y
, cell
, cell
->type
!= "$bu0");
409 if (cell
->type
== "$pos" || cell
->type
== "$bu0") {
410 ez
->assume(ez
->vec_eq(undef_a
, undef_y
));
412 int undef_any_a
= ez
->expression(ezSAT::OpOr
, undef_a
);
413 std::vector
<int> undef_y_bits(undef_y
.size(), undef_any_a
);
414 ez
->assume(ez
->vec_eq(undef_y_bits
, undef_y
));
417 undefGating(y
, yy
, undef_y
);
422 if (cell
->type
== "$reduce_and" || cell
->type
== "$reduce_or" || cell
->type
== "$reduce_xor" ||
423 cell
->type
== "$reduce_xnor" || cell
->type
== "$reduce_bool" || cell
->type
== "$logic_not")
425 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
426 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
428 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
430 if (cell
->type
== "$reduce_and")
431 ez
->SET(ez
->expression(ez
->OpAnd
, a
), yy
.at(0));
432 if (cell
->type
== "$reduce_or" || cell
->type
== "$reduce_bool")
433 ez
->SET(ez
->expression(ez
->OpOr
, a
), yy
.at(0));
434 if (cell
->type
== "$reduce_xor")
435 ez
->SET(ez
->expression(ez
->OpXor
, a
), yy
.at(0));
436 if (cell
->type
== "$reduce_xnor")
437 ez
->SET(ez
->NOT(ez
->expression(ez
->OpXor
, a
)), yy
.at(0));
438 if (cell
->type
== "$logic_not")
439 ez
->SET(ez
->NOT(ez
->expression(ez
->OpOr
, a
)), yy
.at(0));
440 for (size_t i
= 1; i
< y
.size(); i
++)
441 ez
->SET(ez
->FALSE
, yy
.at(i
));
445 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
446 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
447 int aX
= ez
->expression(ezSAT::OpOr
, undef_a
);
449 if (cell
->type
== "$reduce_and") {
450 int a0
= ez
->expression(ezSAT::OpOr
, ez
->vec_and(ez
->vec_not(a
), ez
->vec_not(undef_a
)));
451 ez
->assume(ez
->IFF(ez
->AND(ez
->NOT(a0
), aX
), undef_y
.at(0)));
453 else if (cell
->type
== "$reduce_or" || cell
->type
== "$reduce_bool" || cell
->type
== "$logic_not") {
454 int a1
= ez
->expression(ezSAT::OpOr
, ez
->vec_and(a
, ez
->vec_not(undef_a
)));
455 ez
->assume(ez
->IFF(ez
->AND(ez
->NOT(a1
), aX
), undef_y
.at(0)));
457 else if (cell
->type
== "$reduce_xor" || cell
->type
== "$reduce_xnor") {
458 ez
->assume(ez
->IFF(aX
, undef_y
.at(0)));
462 for (size_t i
= 1; i
< undef_y
.size(); i
++)
463 ez
->SET(ez
->FALSE
, undef_y
.at(i
));
465 undefGating(y
, yy
, undef_y
);
470 if (cell
->type
== "$logic_and" || cell
->type
== "$logic_or")
472 std::vector
<int> vec_a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
473 std::vector
<int> vec_b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
475 int a
= ez
->expression(ez
->OpOr
, vec_a
);
476 int b
= ez
->expression(ez
->OpOr
, vec_b
);
477 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
479 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
481 if (cell
->type
== "$logic_and")
482 ez
->SET(ez
->expression(ez
->OpAnd
, a
, b
), yy
.at(0));
484 ez
->SET(ez
->expression(ez
->OpOr
, a
, b
), yy
.at(0));
485 for (size_t i
= 1; i
< y
.size(); i
++)
486 ez
->SET(ez
->FALSE
, yy
.at(i
));
490 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
491 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
492 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
494 int a0
= ez
->NOT(ez
->OR(ez
->expression(ezSAT::OpOr
, vec_a
), ez
->expression(ezSAT::OpOr
, undef_a
)));
495 int b0
= ez
->NOT(ez
->OR(ez
->expression(ezSAT::OpOr
, vec_b
), ez
->expression(ezSAT::OpOr
, undef_b
)));
496 int a1
= ez
->expression(ezSAT::OpOr
, ez
->vec_and(vec_a
, ez
->vec_not(undef_a
)));
497 int b1
= ez
->expression(ezSAT::OpOr
, ez
->vec_and(vec_b
, ez
->vec_not(undef_b
)));
498 int aX
= ez
->expression(ezSAT::OpOr
, undef_a
);
499 int bX
= ez
->expression(ezSAT::OpOr
, undef_b
);
501 if (cell
->type
== "$logic_and")
502 ez
->SET(ez
->AND(ez
->OR(aX
, bX
), ez
->NOT(ez
->AND(a1
, b1
)), ez
->NOT(a0
), ez
->NOT(b0
)), undef_y
.at(0));
503 else if (cell
->type
== "$logic_or")
504 ez
->SET(ez
->AND(ez
->OR(aX
, bX
), ez
->NOT(ez
->AND(a0
, b0
)), ez
->NOT(a1
), ez
->NOT(b1
)), undef_y
.at(0));
508 for (size_t i
= 1; i
< undef_y
.size(); i
++)
509 ez
->SET(ez
->FALSE
, undef_y
.at(i
));
511 undefGating(y
, yy
, undef_y
);
516 if (cell
->type
== "$lt" || cell
->type
== "$le" || cell
->type
== "$eq" || cell
->type
== "$ne" || cell
->type
== "$eqx" || cell
->type
== "$nex" || cell
->type
== "$ge" || cell
->type
== "$gt")
518 bool is_signed
= cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool();
519 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
520 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
521 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
522 extendSignalWidth(a
, b
, cell
);
524 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
526 if (model_undef
&& (cell
->type
== "$eqx" || cell
->type
== "$nex")) {
527 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
528 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
529 extendSignalWidth(undef_a
, undef_b
, cell
, true);
530 a
= ez
->vec_or(a
, undef_a
);
531 b
= ez
->vec_or(b
, undef_b
);
534 if (cell
->type
== "$lt")
535 ez
->SET(is_signed
? ez
->vec_lt_signed(a
, b
) : ez
->vec_lt_unsigned(a
, b
), yy
.at(0));
536 if (cell
->type
== "$le")
537 ez
->SET(is_signed
? ez
->vec_le_signed(a
, b
) : ez
->vec_le_unsigned(a
, b
), yy
.at(0));
538 if (cell
->type
== "$eq" || cell
->type
== "$eqx")
539 ez
->SET(ez
->vec_eq(a
, b
), yy
.at(0));
540 if (cell
->type
== "$ne" || cell
->type
== "$nex")
541 ez
->SET(ez
->vec_ne(a
, b
), yy
.at(0));
542 if (cell
->type
== "$ge")
543 ez
->SET(is_signed
? ez
->vec_ge_signed(a
, b
) : ez
->vec_ge_unsigned(a
, b
), yy
.at(0));
544 if (cell
->type
== "$gt")
545 ez
->SET(is_signed
? ez
->vec_gt_signed(a
, b
) : ez
->vec_gt_unsigned(a
, b
), yy
.at(0));
546 for (size_t i
= 1; i
< y
.size(); i
++)
547 ez
->SET(ez
->FALSE
, yy
.at(i
));
549 if (model_undef
&& (cell
->type
== "$eqx" || cell
->type
== "$nex"))
551 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
552 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
553 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
554 extendSignalWidth(undef_a
, undef_b
, cell
, true);
556 if (cell
->type
== "$eqx")
557 yy
.at(0) = ez
->AND(yy
.at(0), ez
->vec_eq(undef_a
, undef_b
));
559 yy
.at(0) = ez
->OR(yy
.at(0), ez
->vec_ne(undef_a
, undef_b
));
561 for (size_t i
= 0; i
< y
.size(); i
++)
562 ez
->SET(ez
->FALSE
, undef_y
.at(i
));
564 ez
->assume(ez
->vec_eq(y
, yy
));
566 else if (model_undef
&& (cell
->type
== "$eq" || cell
->type
== "$ne"))
568 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
569 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
570 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
571 extendSignalWidth(undef_a
, undef_b
, cell
, true);
573 int undef_any_a
= ez
->expression(ezSAT::OpOr
, undef_a
);
574 int undef_any_b
= ez
->expression(ezSAT::OpOr
, undef_b
);
575 int undef_any
= ez
->OR(undef_any_a
, undef_any_b
);
577 std::vector
<int> masked_a_bits
= ez
->vec_or(a
, ez
->vec_or(undef_a
, undef_b
));
578 std::vector
<int> masked_b_bits
= ez
->vec_or(b
, ez
->vec_or(undef_a
, undef_b
));
580 int masked_ne
= ez
->vec_ne(masked_a_bits
, masked_b_bits
);
581 int undef_y_bit
= ez
->AND(undef_any
, ez
->NOT(masked_ne
));
583 for (size_t i
= 1; i
< undef_y
.size(); i
++)
584 ez
->SET(ez
->FALSE
, undef_y
.at(i
));
585 ez
->SET(undef_y_bit
, undef_y
.at(0));
587 undefGating(y
, yy
, undef_y
);
592 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
593 undefGating(y
, yy
, undef_y
);
595 log_assert(!model_undef
|| arith_undef_handled
);
600 if (cell
->type
== "$shl" || cell
->type
== "$shr" || cell
->type
== "$sshl" || cell
->type
== "$sshr" || cell
->type
== "$shift" || cell
->type
== "$shiftx")
602 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
603 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
604 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
606 int extend_bit
= ez
->FALSE
;
608 if (cell
->type
!= "$shift" && cell
->type
!= "$shiftx" && cell
->parameters
["\\A_SIGNED"].as_bool())
609 extend_bit
= a
.back();
611 while (y
.size() < a
.size())
612 y
.push_back(ez
->literal());
613 while (y
.size() > a
.size())
614 a
.push_back(extend_bit
);
616 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
617 std::vector
<int> shifted_a
;
619 if (cell
->type
== "$shl" || cell
->type
== "$sshl")
620 shifted_a
= ez
->vec_shift_left(a
, b
, false, ez
->FALSE
, ez
->FALSE
);
622 if (cell
->type
== "$shr")
623 shifted_a
= ez
->vec_shift_right(a
, b
, false, ez
->FALSE
, ez
->FALSE
);
625 if (cell
->type
== "$sshr")
626 shifted_a
= ez
->vec_shift_right(a
, b
, false, cell
->parameters
["\\A_SIGNED"].as_bool() ? a
.back() : ez
->FALSE
, ez
->FALSE
);
628 if (cell
->type
== "$shift" || cell
->type
== "$shiftx")
629 shifted_a
= ez
->vec_shift_right(a
, b
, cell
->parameters
["\\B_SIGNED"].as_bool(), ez
->FALSE
, ez
->FALSE
);
631 ez
->assume(ez
->vec_eq(shifted_a
, yy
));
635 std::vector
<int> undef_a
= importUndefSigSpec(cell
->getPort("\\A"), timestep
);
636 std::vector
<int> undef_b
= importUndefSigSpec(cell
->getPort("\\B"), timestep
);
637 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
638 std::vector
<int> undef_a_shifted
;
640 if (cell
->type
!= "$shift" && cell
->type
!= "$shiftx" && cell
->parameters
["\\A_SIGNED"].as_bool())
641 extend_bit
= undef_a
.back();
643 while (undef_y
.size() < undef_a
.size())
644 undef_y
.push_back(ez
->literal());
645 while (undef_y
.size() > undef_a
.size())
646 undef_a
.push_back(extend_bit
);
648 if (cell
->type
== "$shl" || cell
->type
== "$sshl")
649 undef_a_shifted
= ez
->vec_shift_left(undef_a
, b
, false, ez
->FALSE
, ez
->FALSE
);
651 if (cell
->type
== "$shr")
652 undef_a_shifted
= ez
->vec_shift_right(undef_a
, b
, false, ez
->FALSE
, ez
->FALSE
);
654 if (cell
->type
== "$sshr")
655 undef_a_shifted
= ez
->vec_shift_right(undef_a
, b
, false, cell
->parameters
["\\A_SIGNED"].as_bool() ? undef_a
.back() : ez
->FALSE
, ez
->FALSE
);
657 if (cell
->type
== "$shift")
658 undef_a_shifted
= ez
->vec_shift_right(undef_a
, b
, cell
->parameters
["\\B_SIGNED"].as_bool(), ez
->FALSE
, ez
->FALSE
);
660 if (cell
->type
== "$shiftx")
661 undef_a_shifted
= ez
->vec_shift_right(undef_a
, b
, cell
->parameters
["\\B_SIGNED"].as_bool(), ez
->TRUE
, ez
->TRUE
);
663 int undef_any_b
= ez
->expression(ezSAT::OpOr
, undef_b
);
664 std::vector
<int> undef_all_y_bits(undef_y
.size(), undef_any_b
);
665 ez
->assume(ez
->vec_eq(ez
->vec_or(undef_a_shifted
, undef_all_y_bits
), undef_y
));
666 undefGating(y
, yy
, undef_y
);
671 if (cell
->type
== "$mul")
673 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
674 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
675 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
676 extendSignalWidth(a
, b
, y
, cell
);
678 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
680 std::vector
<int> tmp(a
.size(), ez
->FALSE
);
681 for (int i
= 0; i
< int(a
.size()); i
++)
683 std::vector
<int> shifted_a(a
.size(), ez
->FALSE
);
684 for (int j
= i
; j
< int(a
.size()); j
++)
685 shifted_a
.at(j
) = a
.at(j
-i
);
686 tmp
= ez
->vec_ite(b
.at(i
), ez
->vec_add(tmp
, shifted_a
), tmp
);
688 ez
->assume(ez
->vec_eq(tmp
, yy
));
691 log_assert(arith_undef_handled
);
692 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
693 undefGating(y
, yy
, undef_y
);
698 if (cell
->type
== "$div" || cell
->type
== "$mod")
700 std::vector
<int> a
= importDefSigSpec(cell
->getPort("\\A"), timestep
);
701 std::vector
<int> b
= importDefSigSpec(cell
->getPort("\\B"), timestep
);
702 std::vector
<int> y
= importDefSigSpec(cell
->getPort("\\Y"), timestep
);
703 extendSignalWidth(a
, b
, y
, cell
);
705 std::vector
<int> yy
= model_undef
? ez
->vec_var(y
.size()) : y
;
707 std::vector
<int> a_u
, b_u
;
708 if (cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool()) {
709 a_u
= ez
->vec_ite(a
.back(), ez
->vec_neg(a
), a
);
710 b_u
= ez
->vec_ite(b
.back(), ez
->vec_neg(b
), b
);
716 std::vector
<int> chain_buf
= a_u
;
717 std::vector
<int> y_u(a_u
.size(), ez
->FALSE
);
718 for (int i
= int(a
.size())-1; i
>= 0; i
--)
720 chain_buf
.insert(chain_buf
.end(), chain_buf
.size(), ez
->FALSE
);
722 std::vector
<int> b_shl(i
, ez
->FALSE
);
723 b_shl
.insert(b_shl
.end(), b_u
.begin(), b_u
.end());
724 b_shl
.insert(b_shl
.end(), chain_buf
.size()-b_shl
.size(), ez
->FALSE
);
726 y_u
.at(i
) = ez
->vec_ge_unsigned(chain_buf
, b_shl
);
727 chain_buf
= ez
->vec_ite(y_u
.at(i
), ez
->vec_sub(chain_buf
, b_shl
), chain_buf
);
729 chain_buf
.erase(chain_buf
.begin() + a_u
.size(), chain_buf
.end());
732 std::vector
<int> y_tmp
= ignore_div_by_zero
? yy
: ez
->vec_var(y
.size());
733 if (cell
->type
== "$div") {
734 if (cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool())
735 ez
->assume(ez
->vec_eq(y_tmp
, ez
->vec_ite(ez
->XOR(a
.back(), b
.back()), ez
->vec_neg(y_u
), y_u
)));
737 ez
->assume(ez
->vec_eq(y_tmp
, y_u
));
739 if (cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool())
740 ez
->assume(ez
->vec_eq(y_tmp
, ez
->vec_ite(a
.back(), ez
->vec_neg(chain_buf
), chain_buf
)));
742 ez
->assume(ez
->vec_eq(y_tmp
, chain_buf
));
745 if (ignore_div_by_zero
) {
746 ez
->assume(ez
->expression(ezSAT::OpOr
, b
));
748 std::vector
<int> div_zero_result
;
749 if (cell
->type
== "$div") {
750 if (cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool()) {
751 std::vector
<int> all_ones(y
.size(), ez
->TRUE
);
752 std::vector
<int> only_first_one(y
.size(), ez
->FALSE
);
753 only_first_one
.at(0) = ez
->TRUE
;
754 div_zero_result
= ez
->vec_ite(a
.back(), only_first_one
, all_ones
);
756 div_zero_result
.insert(div_zero_result
.end(), cell
->getPort("\\A").size(), ez
->TRUE
);
757 div_zero_result
.insert(div_zero_result
.end(), y
.size() - div_zero_result
.size(), ez
->FALSE
);
760 int copy_a_bits
= std::min(cell
->getPort("\\A").size(), cell
->getPort("\\B").size());
761 div_zero_result
.insert(div_zero_result
.end(), a
.begin(), a
.begin() + copy_a_bits
);
762 if (cell
->parameters
["\\A_SIGNED"].as_bool() && cell
->parameters
["\\B_SIGNED"].as_bool())
763 div_zero_result
.insert(div_zero_result
.end(), y
.size() - div_zero_result
.size(), div_zero_result
.back());
765 div_zero_result
.insert(div_zero_result
.end(), y
.size() - div_zero_result
.size(), ez
->FALSE
);
767 ez
->assume(ez
->vec_eq(yy
, ez
->vec_ite(ez
->expression(ezSAT::OpOr
, b
), y_tmp
, div_zero_result
)));
771 log_assert(arith_undef_handled
);
772 std::vector
<int> undef_y
= importUndefSigSpec(cell
->getPort("\\Y"), timestep
);
773 undefGating(y
, yy
, undef_y
);
778 if (cell
->type
== "$slice")
780 RTLIL::SigSpec a
= cell
->getPort("\\A");
781 RTLIL::SigSpec y
= cell
->getPort("\\Y");
782 ez
->assume(signals_eq(a
.extract(cell
->parameters
.at("\\OFFSET").as_int(), y
.size()), y
, timestep
));
786 if (cell
->type
== "$concat")
788 RTLIL::SigSpec a
= cell
->getPort("\\A");
789 RTLIL::SigSpec b
= cell
->getPort("\\B");
790 RTLIL::SigSpec y
= cell
->getPort("\\Y");
792 RTLIL::SigSpec ab
= a
;
795 ez
->assume(signals_eq(ab
, y
, timestep
));
799 if (timestep
> 0 && (cell
->type
== "$dff" || cell
->type
== "$_DFF_N_" || cell
->type
== "$_DFF_P_"))
803 initial_state
.add((*sigmap
)(cell
->getPort("\\Q")));
807 std::vector
<int> d
= importDefSigSpec(cell
->getPort("\\D"), timestep
-1);
808 std::vector
<int> q
= importDefSigSpec(cell
->getPort("\\Q"), timestep
);
810 std::vector
<int> qq
= model_undef
? ez
->vec_var(q
.size()) : q
;
811 ez
->assume(ez
->vec_eq(d
, qq
));
815 std::vector
<int> undef_d
= importUndefSigSpec(cell
->getPort("\\D"), timestep
-1);
816 std::vector
<int> undef_q
= importUndefSigSpec(cell
->getPort("\\Q"), timestep
);
818 ez
->assume(ez
->vec_eq(undef_d
, undef_q
));
819 undefGating(q
, qq
, undef_q
);
825 if (cell
->type
== "$assert")
827 std::string pf
= prefix
+ (timestep
== -1 ? "" : stringf("@%d:", timestep
));
828 asserts_a
[pf
].append((*sigmap
)(cell
->getPort("\\A")));
829 asserts_en
[pf
].append((*sigmap
)(cell
->getPort("\\EN")));
833 // Unsupported internal cell types: $pow $lut
834 // .. and all sequential cells except $dff and $_DFF_[NP]_