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z3/lib/eager_bit_blaster.cpp
Leonardo de Moura e9eab22e5c Z3 sources 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2012-10-02 11:35:25 -07:00

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/*++
Copyright (c) 2006 Microsoft Corporation
Module Name:
eager_bit_blaster.cpp
Abstract:
<abstract>
Author:
Leonardo de Moura (leonardo) 2008-10-02.
Revision History:
--*/
#include"ast_ll_pp.h"
#include"eager_bit_blaster.h"
eager_bit_blaster::basic_plugin::basic_plugin(ast_manager & m, eager_bit_blaster::bv_plugin & p, basic_simplifier_plugin & s):
simplifier_plugin(symbol("basic"), m),
m_main(p),
m_s(s) {
}
eager_bit_blaster::basic_plugin::~basic_plugin() {
}
bool eager_bit_blaster::basic_plugin::reduce(func_decl * f, unsigned num_args, expr * const * args, expr_ref & result) {
if (f->get_decl_kind() == OP_ITE) {
SASSERT(num_args == 3);
return m_main.reduce_ite(args[0], args[1], args[2], result);
}
else if (f->get_decl_kind() == OP_NOT) {
// the internalizer assumes there is not double negation (not (not x))
SASSERT(num_args == 1);
m_s.mk_not(args[0], result);
return true;
}
return false;
}
eager_bit_blaster::bv_plugin::bv_plugin(ast_manager & m, bit_blaster_params const & p):
simplifier_plugin(symbol("bv"), m),
m_util(m),
m_bb(m, p),
m_s(m) {
}
eager_bit_blaster::bv_plugin::~bv_plugin() {
}
void eager_bit_blaster::bv_plugin::get_bits(expr * n, expr_ref_vector & out_bits) {
rational val;
unsigned bv_size;
if (m_util.is_numeral(n, val, bv_size)) {
TRACE("eager_bb_bug", tout << "bv_size: " << bv_size << "\n";);
m_bb.num2bits(val, bv_size, out_bits);
SASSERT(out_bits.size() == bv_size);
}
else if (m_util.is_mkbv(n)) {
out_bits.append(to_app(n)->get_num_args(), to_app(n)->get_args());
}
else {
unsigned bv_size = m_util.get_bv_size(n);
for (unsigned i = 0; i < bv_size; i++) {
parameter p(i);
out_bits.push_back(m_manager.mk_app(get_family_id(), OP_BIT2BOOL, 1, &p, 1, &n));
}
SASSERT(bv_size == out_bits.size());
}
}
inline app * eager_bit_blaster::bv_plugin::mk_mkbv(expr_ref_vector const & bits) {
#ifdef Z3DEBUG
for (unsigned i = 0; i < bits.size(); i++) {
expr * b = bits.get(i);
SASSERT(!m_manager.is_not(b) || !m_manager.is_not(to_app(b)->get_arg(0)));
}
#endif
return m_manager.mk_app(get_family_id(), OP_MKBV, bits.size(), bits.c_ptr());
}
#define MK_UNARY_REDUCE(OP, BB_OP) \
void eager_bit_blaster::bv_plugin::OP(expr * arg, expr_ref & result) { \
expr_ref_vector bits(m_manager); \
get_bits(arg, bits); \
expr_ref_vector out_bits(m_manager); \
m_bb.BB_OP(bits.size(), bits.c_ptr(), out_bits); \
result = mk_mkbv(out_bits); \
}
#define MK_BIN_REDUCE(OP, BB_OP) \
void eager_bit_blaster::bv_plugin::OP(expr * arg1, expr * arg2, expr_ref & result) { \
expr_ref_vector bits1(m_manager); \
expr_ref_vector bits2(m_manager); \
get_bits(arg1, bits1); \
get_bits(arg2, bits2); \
expr_ref_vector out_bits(m_manager); \
m_bb.BB_OP(bits1.size(), bits1.c_ptr(), bits2.c_ptr(), out_bits); \
result = mk_mkbv(out_bits); \
}
#define MK_BIN_AC_FLAT_REDUCE(OP, BIN_OP, S_OP, BB_OP) \
MK_BIN_REDUCE(BIN_OP, BB_OP); \
void eager_bit_blaster::bv_plugin::OP(unsigned num_args, expr * const * args, expr_ref & result) { \
SASSERT(num_args > 0); \
if (num_args == 2) { \
BIN_OP(args[0], args[1], result); \
return; \
} \
\
ptr_buffer<expr_ref_vector> args_bits; \
for (unsigned i = 0; i < num_args; i++) { \
expr_ref_vector * bits = alloc(expr_ref_vector, m_manager); \
get_bits(args[i], *bits); \
args_bits.push_back(bits); \
} \
\
unsigned bv_size = m_util.get_bv_size(args[0]); \
expr_ref_vector new_bits(m_manager); \
for (unsigned i = 0; i < bv_size; i++) { \
expr_ref_vector arg_bits(m_manager); \
for (unsigned j = 0; j < num_args; j++) \
arg_bits.push_back(args_bits[j]->get(i)); \
expr_ref new_bit(m_manager); \
m_s.S_OP(arg_bits.size(), arg_bits.c_ptr(), new_bit); \
new_bits.push_back(new_bit); \
} \
result = mk_mkbv(new_bits); \
std::for_each(args_bits.begin(), args_bits.end(), delete_proc<expr_ref_vector>()); \
}
#define MK_BIN_AC_REDUCE(OP, BIN_OP, BB_OP) \
MK_BIN_REDUCE(BIN_OP, BB_OP); \
void eager_bit_blaster::bv_plugin::OP(unsigned num_args, expr * const * args, expr_ref & result) { \
SASSERT(num_args > 0); \
result = args[0]; \
for (unsigned i = 1; i < num_args; i++) { \
expr_ref new_result(m_manager); \
BIN_OP(result.get(), args[i], new_result); \
result = new_result; \
} \
}
#define MK_BIN_PRED_REDUCE(OP, BB_OP) \
void eager_bit_blaster::bv_plugin::OP(expr * arg1, expr * arg2, expr_ref & result) { \
expr_ref_vector bits1(m_manager); \
expr_ref_vector bits2(m_manager); \
get_bits(arg1, bits1); \
get_bits(arg2, bits2); \
m_bb.BB_OP(bits1.size(), bits1.c_ptr(), bits2.c_ptr(), result); \
}
#define MK_PARAMETRIC_UNARY_REDUCE(OP, BB_OP) \
void eager_bit_blaster::bv_plugin::OP(expr * arg, unsigned n, expr_ref & result) { \
expr_ref_vector bits(m_manager); \
get_bits(arg, bits); \
expr_ref_vector out_bits(m_manager); \
m_bb.BB_OP(bits.size(), bits.c_ptr(), n, out_bits); \
result = mk_mkbv(out_bits); \
}
MK_UNARY_REDUCE(reduce_not, mk_not);
MK_BIN_AC_FLAT_REDUCE(reduce_or, reduce_bin_or, mk_or, mk_or);
MK_BIN_AC_FLAT_REDUCE(reduce_and, reduce_bin_and, mk_and, mk_and);
MK_BIN_AC_FLAT_REDUCE(reduce_nor, reduce_bin_nor, mk_nor, mk_nor);
MK_BIN_AC_FLAT_REDUCE(reduce_nand, reduce_bin_nand, mk_nand, mk_nand);
MK_BIN_REDUCE(reduce_xor, mk_xor);
MK_BIN_REDUCE(reduce_xnor, mk_xnor);
MK_UNARY_REDUCE(reduce_neg, mk_neg);
MK_BIN_AC_REDUCE(reduce_add, reduce_bin_add, mk_adder);
MK_BIN_AC_REDUCE(reduce_mul, reduce_bin_mul, mk_multiplier);
MK_BIN_PRED_REDUCE(reduce_sle, mk_sle);
MK_BIN_PRED_REDUCE(reduce_ule, mk_ule);
MK_PARAMETRIC_UNARY_REDUCE(reduce_rotate_left, mk_rotate_left);
MK_PARAMETRIC_UNARY_REDUCE(reduce_rotate_right, mk_rotate_right);
MK_PARAMETRIC_UNARY_REDUCE(reduce_sign_extend, mk_sign_extend);
MK_PARAMETRIC_UNARY_REDUCE(reduce_zero_extend, mk_zero_extend);
MK_UNARY_REDUCE(reduce_redor, mk_redor);
MK_UNARY_REDUCE(reduce_redand, mk_redand);
MK_BIN_REDUCE(reduce_shl, mk_shl);
MK_BIN_REDUCE(reduce_ashr, mk_ashr);
MK_BIN_REDUCE(reduce_lshr, mk_lshr);
MK_BIN_REDUCE(reduce_comp, mk_comp);
MK_BIN_REDUCE(reduce_udiv, mk_udiv);
MK_BIN_REDUCE(reduce_urem, mk_urem);
MK_BIN_REDUCE(reduce_sdiv, mk_sdiv);
MK_BIN_REDUCE(reduce_srem, mk_srem);
MK_BIN_REDUCE(reduce_smod, mk_smod);
void eager_bit_blaster::bv_plugin::reduce_extract(unsigned start, unsigned end, expr * arg, expr_ref & result) {
expr_ref_vector bits(m_manager);
get_bits(arg, bits);
expr_ref_vector out_bits(m_manager);
for (unsigned i = start; i <= end; ++i)
out_bits.push_back(bits.get(i));
result = mk_mkbv(out_bits);
}
void eager_bit_blaster::bv_plugin::reduce_concat(unsigned num_args, expr * const * args, expr_ref & result) {
expr_ref_vector out_bits(m_manager);
unsigned i = num_args;
while (i > 0) {
i--;
expr_ref_vector bits(m_manager);
get_bits(args[i], bits);
out_bits.append(bits.size(), bits.c_ptr());
}
result = mk_mkbv(out_bits);
}
bool eager_bit_blaster::bv_plugin::reduce_ite(expr * arg1, expr * arg2, expr * arg3, expr_ref & result) {
sort * s = m_manager.get_sort(arg2);
if (!m_util.is_bv_sort(s))
return false;
expr_ref_vector bits1(m_manager);
expr_ref_vector bits2(m_manager);
get_bits(arg2, bits1);
get_bits(arg3, bits2);
SASSERT(bits1.size() == bits2.size());
expr_ref_vector out_bits(m_manager);
unsigned bv_size = bits1.size();
for (unsigned i = 0; i < bv_size; i++) {
expr_ref new_bit(m_manager);
m_s.mk_ite(arg1, bits1.get(i), bits2.get(i), new_bit);
out_bits.push_back(new_bit);
}
result = mk_mkbv(out_bits);
return true;
}
bool eager_bit_blaster::bv_plugin::reduce(func_decl * f, unsigned num_args, expr * const * args, expr_ref & result) {
bv_op_kind k = static_cast<bv_op_kind>(f->get_decl_kind());
switch (k) {
case OP_BNOT:
SASSERT(num_args == 1);
reduce_not(args[0], result);
return true;
case OP_BOR:
reduce_or(num_args, args, result);
return true;
case OP_BAND:
reduce_and(num_args, args, result);
return true;
case OP_BNOR:
reduce_nor(num_args, args, result);
return true;
case OP_BNAND:
reduce_nand(num_args, args, result);
return true;
case OP_BXOR:
SASSERT(num_args == 2);
reduce_xor(args[0], args[1], result);
return true;
case OP_BXNOR:
SASSERT(num_args == 2);
reduce_xnor(args[0], args[1], result);
return true;
case OP_BNEG:
SASSERT(num_args == 1);
reduce_neg(args[0], result);
return true;
case OP_BADD:
reduce_add(num_args, args, result);
return true;
case OP_BMUL:
reduce_mul(num_args, args, result);
return true;
case OP_BIT1:
case OP_BIT0:
case OP_BSUB:
// I'm assuming the expressions were simplified before invoking this method.
UNREACHABLE();
return false;
case OP_BSDIV:
case OP_BUDIV:
case OP_BSREM:
case OP_BUREM:
case OP_BSMOD:
// I'm assuming the expressions were simplified before invoking this method.
UNREACHABLE();
return false;
case OP_BSDIV0:
case OP_BUDIV0:
case OP_BSREM0:
case OP_BUREM0:
case OP_BSMOD0:
// do nothing... these are uninterpreted
return true;
case OP_BSDIV_I:
SASSERT(num_args == 2);
reduce_sdiv(args[0], args[1], result);
return true;
case OP_BUDIV_I:
SASSERT(num_args == 2);
reduce_udiv(args[0], args[1], result);
return true;
case OP_BSREM_I:
SASSERT(num_args == 2);
reduce_srem(args[0], args[1], result);
return true;
case OP_BUREM_I:
SASSERT(num_args == 2);
reduce_urem(args[0], args[1], result);
return true;
case OP_BSMOD_I:
SASSERT(num_args == 2);
reduce_smod(args[0], args[1], result);
return true;
case OP_ULEQ:
SASSERT(num_args == 2);
reduce_ule(args[0], args[1], result);
return true;
case OP_SLEQ:
SASSERT(num_args == 2);
reduce_sle(args[0], args[1], result);
return true;
case OP_UGEQ:
case OP_SGEQ:
case OP_ULT:
case OP_SLT:
case OP_UGT:
case OP_SGT:
// I'm assuming the expressions were simplified before invoking this method.
UNREACHABLE();
return false;
case OP_EXTRACT:
SASSERT(num_args == 1);
reduce_extract(f->get_parameter(1).get_int(), f->get_parameter(0).get_int(), args[0], result);
return true;
case OP_CONCAT:
reduce_concat(num_args, args, result);
return true;
case OP_SIGN_EXT:
SASSERT(num_args == 1);
reduce_sign_extend(args[0], f->get_parameter(0).get_int(), result);
return true;
case OP_ZERO_EXT:
SASSERT(num_args == 1);
reduce_zero_extend(args[0], f->get_parameter(0).get_int(), result);
return true;
case OP_REPEAT:
UNREACHABLE();
return false;
case OP_BREDOR:
SASSERT(num_args == 1);
reduce_redor(args[0], result);
return true;
case OP_BREDAND:
SASSERT(num_args == 1);
reduce_redand(args[0], result);
return true;
case OP_BCOMP:
SASSERT(num_args == 2);
reduce_comp(args[0], args[1], result);
return true;
case OP_BSHL:
SASSERT(num_args == 2);
reduce_shl(args[0], args[1], result);
return true;
case OP_BLSHR:
SASSERT(num_args == 2);
reduce_lshr(args[0], args[1], result);
return true;
case OP_BASHR:
SASSERT(num_args == 2);
reduce_ashr(args[0], args[1], result);
return true;
case OP_ROTATE_LEFT:
SASSERT(num_args == 1);
reduce_rotate_left(args[0], f->get_parameter(0).get_int(), result);
return true;
case OP_ROTATE_RIGHT:
SASSERT(num_args == 1);
reduce_rotate_right(args[0], f->get_parameter(0).get_int(), result);
return true;
default:
return false;
}
}
bool eager_bit_blaster::bv_plugin::reduce_eq(expr * lhs, expr * rhs, expr_ref & result) {
TRACE("eager_bb_eq", tout << mk_ll_pp(lhs, m_manager) << "\n" << mk_ll_pp(rhs, m_manager) << "\n";);
SASSERT(m_util.get_bv_size(lhs) == m_util.get_bv_size(rhs));
expr_ref_vector bits1(m_manager);
expr_ref_vector bits2(m_manager);
get_bits(lhs, bits1);
get_bits(rhs, bits2);
SASSERT(bits1.size() == bits2.size());
m_bb.mk_eq(bits1.size(), bits1.c_ptr(), bits2.c_ptr(), result);
return true;
}
bool eager_bit_blaster::bv_plugin::reduce_distinct(unsigned num_args, expr * const * args, expr_ref & result) {
if (num_args <= 1) {
result = m_manager.mk_true();
}
if (num_args == 2) {
expr_ref tmp(m_manager);
reduce_eq(args[0], args[1], tmp);
m_s.mk_not(tmp, result);
}
else {
expr_ref_vector new_args(m_manager);
for (unsigned i = 0; i < num_args - 1; i++) {
expr * a1 = args[i];
for (unsigned j = i + 1; j < num_args; j++) {
expr * a2 = args[j];
expr_ref tmp1(m_manager);
reduce_eq(a1, a2, tmp1);
expr_ref tmp2(m_manager);
m_s.mk_not(tmp1, tmp2);
new_args.push_back(tmp2);
}
}
m_s.mk_and(new_args.size(), new_args.c_ptr(), result);
}
return true;
}
eager_bit_blaster::eager_bit_blaster(ast_manager & m, bit_blaster_params const & p):
m_simplifier(m) {
m_simplifier.enable_ac_support(false);
bv_plugin * bv_p = alloc(bv_plugin, m, p);
m_simplifier.register_plugin(bv_p);
m_simplifier.register_plugin(alloc(basic_plugin, m, *bv_p, bv_p->get_basic_simplifier()));
}
void eager_bit_blaster::operator()(expr * s, expr_ref & r, proof_ref & p) {
m_simplifier.operator()(s, r, p);
}
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