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new theory_fpa. plenty of bugs remain.

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Signed-off-by: Christoph M. Wintersteiger <cwinter@microsoft.com>
This commit is contained in:
Christoph M. Wintersteiger 2014-12-21 18:45:36 +00:00
parent d394b9579f
commit cf4b7219e1
2 changed files with 563 additions and 347 deletions
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824
src/smt/theory_fpa.cpp
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@ -22,7 +22,7 @@ Revision History:
#include"theory_bv.h"
#include"smt_model_generator.h"
namespace smt {
namespace smt {
class fpa_atom_trail : public trail<theory_fpa> {
bool_var m_var;
@ -36,11 +36,60 @@ namespace smt {
}
};
void theory_fpa::fpa2bv_converter_wrapped::mk_const(func_decl * f, expr_ref & result) {
SASSERT(f->get_family_id() == null_family_id);
SASSERT(f->get_arity() == 0);
expr * r;
if (m_const2bv.find(f, r)) {
result = r;
}
else {
sort * s = f->get_range();
func_decl *w, *u;
m_th.get_wrap(s, w, u);
expr_ref bv(m);
bv = m.mk_app(w, m.mk_const(f));
unsigned bv_sz = m_th.m_converter.bu().get_bv_size(bv);
unsigned ebits = m_th.m_converter.fu().get_ebits(f->get_range());
unsigned sbits = m_th.m_converter.fu().get_sbits(f->get_range());
SASSERT(bv_sz == ebits + sbits);
m_th.m_converter.mk_triple(m_bv_util.mk_extract(bv_sz - 1, bv_sz - 1, bv),
m_bv_util.mk_extract(sbits - 2, 0, bv),
m_bv_util.mk_extract(bv_sz - 2, sbits - 1, bv),
result);
m_const2bv.insert(f, result);
m.inc_ref(f);
m.inc_ref(result);
}
}
void theory_fpa::fpa2bv_converter_wrapped::mk_rm_const(func_decl * f, expr_ref & result) {
SASSERT(f->get_family_id() == null_family_id);
SASSERT(f->get_arity() == 0);
expr * r;
if (m_rm_const2bv.find(f, r)) {
result = r;
}
else {
SASSERT(is_rm(f->get_range()));
sort * s = f->get_range();
func_decl *w, *u;
m_th.get_wrap(s, w, u);
result = m.mk_app(w, m.mk_const(f));
m_rm_const2bv.insert(f, result);
m.inc_ref(f);
m.inc_ref(result);
}
}
theory_fpa::theory_fpa(ast_manager & m) :
theory(m.mk_family_id("float")),
m_converter(m),
m_converter(m, this),
m_rw(m, m_converter, params_ref()),
m_trans_map(m),
m_th_rw(m),
m_trail_stack(*this)
{
}
@ -49,45 +98,277 @@ namespace smt {
{
}
void theory_fpa::add_extra_assertions()
app * theory_fpa::fpa_value_proc::mk_value(model_generator & mg, ptr_vector<expr> & values) {
TRACE("t_fpa", tout << "fpa_value_proc::mk_value for: " << mk_ismt2_pp(m_a, m_th.get_manager()) << "\n";);
ast_manager & m = m_th.get_manager();
context & ctx = m_th.get_context();
theory_id bv_id = m.mk_family_id("bv");
theory_bv * th_bv = dynamic_cast<theory_bv *>(ctx.get_theory(bv_id));
SASSERT(th_bv != 0);
float_util & fu = m_th.m_converter.fu();
bv_util & bu = m_th.m_converter.bu();
mpf_manager & mpfm = fu.fm();
unsynch_mpq_manager & mpqm = mpfm.mpq_manager();
unsynch_mpz_manager & mpzm = mpfm.mpz_manager();
sort * s = m.get_sort(m_a);
unsigned ebits = fu.get_ebits(s);
unsigned sbits = fu.get_sbits(s);
scoped_mpz bias(mpzm);
mpzm.power(mpz(2), ebits - 1, bias);
mpzm.dec(bias);
app * result;
float_op_kind k = (float_op_kind) to_app(m_a)->get_decl_kind();
switch (k)
{
case -1: {
func_decl *w, *u;
m_th.get_wrap(s, w, u);
rational bv_val(0);
scoped_mpz sgn(mpzm), sig(mpzm), exp(bias);
app_ref bv_w(m);
bv_w = m.mk_app(w, m_a);
if (!th_bv->get_fixed_value(bv_w, bv_val))
result = fu.mk_nan(ebits, sbits);
else {
scoped_mpz all_bits(mpzm);
all_bits = bv_val.to_mpq().numerator();
SASSERT(mpzm.is_one(bv_val.to_mpq().denominator()));
mpzm.machine_div2k(all_bits, ebits + sbits - 1, sgn);
scoped_mpz tmp_p(mpzm);
mpzm.power(mpz(2), ebits + sbits - 1, tmp_p);
if (mpzm.is_one(sgn)) mpzm.sub(all_bits, tmp_p, all_bits);
mpzm.machine_div2k(all_bits, sbits - 1, exp);
scoped_mpz exp_u(mpzm);
mpzm.sub(exp, bias, exp_u);
SASSERT(mpzm.is_int64(exp_u));
mpzm.power(mpz(2), sbits - 1, tmp_p);
mpzm.mod(all_bits, tmp_p, sig);
scoped_mpf f(mpfm);
mpfm.set(f, ebits, sbits, mpzm.is_one(sgn), sig, mpzm.get_int64(exp_u));
result = fu.mk_value(f);
}
break;
}
case OP_FLOAT_FP: {
bool is_internalized = ctx.e_internalized(m_a);
if (is_internalized) {
SASSERT(m_a->get_num_args() == 3);
app_ref a_sgn(m), a_sig(m), a_exp(m);
a_sgn = to_app(m_a->get_arg(0));
a_exp = to_app(m_a->get_arg(1));
a_sig = to_app(m_a->get_arg(2));
scoped_mpz bias(mpzm);
mpzm.power(mpz(2), ebits - 1, bias);
mpzm.dec(bias);
rational sgn(0), sig(0), exp(bias);
th_bv->get_fixed_value(a_sgn, sgn);
th_bv->get_fixed_value(a_sig, sig);
th_bv->get_fixed_value(a_exp, exp);
TRACE("t_fpa", tout << "sgn=" << sgn.to_string() << " ; " <<
"sig=" << sig.to_string() << " ; " <<
"exp=" << exp.to_string() << std::endl;);
rational exp_u = exp - rational(bias);
SASSERT(exp_u.is_int64());
scoped_mpf f(mpfm);
scoped_mpq sig_q(mpqm);
sig_q = sig.to_mpq();
mpfm.set(f, ebits, sbits, sgn.is_one(), sig_q.get().numerator(), exp_u.get_int64());
result = fu.mk_value(f);
}
else {
result = fu.mk_nan(ebits, sbits);
}
break;
}
default:
NOT_IMPLEMENTED_YET();
}
TRACE("t_fpa", tout << "fpa_value_proc::mk_value result: " << mk_ismt2_pp(result, m_th.get_manager()) << "\n";);
return result;
}
app * theory_fpa::fpa_rm_value_proc::mk_value(model_generator & mg, ptr_vector<expr> & values) {
TRACE("t_fpa", tout << "fpa_rm_value_proc::mk_value for: " << mk_ismt2_pp(m_a, m_th.get_manager()) << "\n";);
ast_manager & m = m_th.get_manager();
context & ctx = m_th.get_context();
theory_id bv_id = m.mk_family_id("bv");
theory_bv * th_bv = dynamic_cast<theory_bv *>(ctx.get_theory(bv_id));
app * result = 0;
mpf_rounding_mode rm;
if (m_th.m_converter.fu().is_rm_value(m_a, rm)) {
result = m_a.get();
}
else {
sort * s = m.get_sort(m_a);
func_decl *w, *u;
m_th.get_wrap(s, w, u);
app_ref bv_w(m);
bv_w = m.mk_app(w, m_a);
rational val(0);
if (ctx.e_internalized(bv_w))
if (!th_bv->get_fixed_value(bv_w, val))
val = rational(0);
switch (val.get_uint64())
{
case BV_RM_TIES_TO_AWAY: result = m_fu.mk_round_nearest_ties_to_away(); break;
case BV_RM_TIES_TO_EVEN: result = m_fu.mk_round_nearest_ties_to_even(); break;
case BV_RM_TO_NEGATIVE: result = m_fu.mk_round_toward_negative(); break;
case BV_RM_TO_POSITIVE: result = m_fu.mk_round_toward_positive(); break;
case BV_RM_TO_ZERO:
default: result = m_fu.mk_round_toward_zero();
}
}
TRACE("t_fpa", tout << "fpa_rm_value_proc::mk_value result: " << mk_ismt2_pp(result, m_th.get_manager()) << "\n";);
return result;
}
void theory_fpa::get_wrap(sort * s, func_decl *& wrap, func_decl *& unwrap)
{
if (!m_wraps.find(s, wrap) || !m_unwraps.find(s, unwrap)) {
SASSERT(!m_wraps.contains(s));
ast_manager & m = get_manager();
sort * bv_srt = 0;
if (m_converter.is_rm(s))
bv_srt = m_converter.bu().mk_sort(3);
else {
SASSERT(m_converter.is_float(s));
unsigned ebits = m_converter.fu().get_ebits(s);
unsigned sbits = m_converter.fu().get_sbits(s);
bv_srt = m_converter.bu().mk_sort(ebits + sbits);
}
wrap = m.mk_func_decl(get_family_id(), OP_FLOAT_INTERNAL_BVWRAP, 0, 0, 1, &s, bv_srt);
unwrap = m.mk_func_decl(get_family_id(), OP_FLOAT_INTERNAL_BVUNWRAP, 0, 0, 1, &bv_srt, s);
m_wraps.insert(s, wrap);
m_unwraps.insert(s, unwrap);
get_context().push_trail(insert_obj_map<context, sort, func_decl*>(m_wraps, s));
get_context().push_trail(insert_obj_map<context, sort, func_decl*>(m_unwraps, s));
}
}
expr_ref theory_fpa::convert_atom(expr * e) {
ast_manager & m = get_manager();
expr_ref res(m);
proof_ref pr(m);
m_rw(e, res);
TRACE("t_fpa", tout << "converted atom:" << std::endl;
tout << mk_ismt2_pp(e, m) << std::endl << " -> " << std::endl <<
mk_ismt2_pp(res, m) << std::endl;);
return res;
}
expr_ref theory_fpa::convert_term(expr * e) {
ast_manager & m = get_manager();
expr_ref res(m);
proof_ref pr(m);
m_rw(e, res);
SASSERT(is_app(res));
if (m_converter.fu().is_rm(e)) {
SASSERT(is_sort_of(m.get_sort(res), m_converter.bu().get_family_id(), BV_SORT));
SASSERT(m_converter.bu().get_bv_size(res) == 3);
}
else {
SASSERT(to_app(res)->get_family_id() == get_family_id());
decl_kind k = to_app(res)->get_decl_kind();
if (k == OP_FLOAT_TO_FP) {
SASSERT(to_app(res)->get_num_args() == 3);
SASSERT(is_sort_of(m.get_sort(to_app(res)->get_arg(0)), m_converter.bu().get_family_id(), BV_SORT));
SASSERT(is_sort_of(m.get_sort(to_app(res)->get_arg(1)), m_converter.bu().get_family_id(), BV_SORT));
SASSERT(is_sort_of(m.get_sort(to_app(res)->get_arg(2)), m_converter.bu().get_family_id(), BV_SORT));
expr *sgn, *sig, *exp;
expr_ref s_sgn(m), s_sig(m), s_exp(m);
m_converter.split_triple(res, sgn, sig, exp);
m_th_rw(sgn, s_sgn);
m_th_rw(sig, s_sig);
m_th_rw(exp, s_exp);
m_converter.mk_triple(s_sgn, s_sig, s_exp, res);
}
else {
SASSERT(is_sort_of(m.get_sort(e), get_family_id(), ROUNDING_MODE_SORT));
SASSERT(is_sort_of(m.get_sort(res), m_converter.bu().get_family_id(), BV_SORT));
}
}
TRACE("t_fpa", tout << "converted term:" << std::endl;
tout << mk_ismt2_pp(e, m) << std::endl << " -> " << std::endl <<
mk_ismt2_pp(res, m) << std::endl;);
return res;
}
expr_ref theory_fpa::mk_side_conditions()
{
ast_manager & m = get_manager();
context & ctx = get_context();
simplifier & simp = ctx.get_simplifier();
expr_ref res(m), t(m);
proof_ref t_pr(m);
res = m.mk_true();
expr_ref_vector::iterator it = m_converter.extra_assertions.begin();
expr_ref_vector::iterator end = m_converter.extra_assertions.end();
expr_ref_vector::iterator it = m_converter.m_extra_assertions.begin();
expr_ref_vector::iterator end = m_converter.m_extra_assertions.end();
for (; it != end; it++) {
expr_ref t(m);
proof_ref t_pr(m);
simp(*it, t, t_pr);
TRACE("t_fpa", tout << "extra: " << mk_ismt2_pp(t, m) << "\n";);
ctx.internalize_assertion(t, t_pr, 0);
simp(*it, t, t_pr);
res = m.mk_and(res, t);
}
m_converter.extra_assertions.reset();
m_converter.m_extra_assertions.reset();
TRACE("t_fpa", if (!m.is_true(res)) tout << "side condition: " << mk_ismt2_pp(res, m) << "\n";);
return res;
}
void theory_fpa::mk_bv_eq(expr * x, expr * y) {
SASSERT(get_sort(x)->get_family_id() == m_converter.bu().get_family_id());
SASSERT(get_sort(y)->get_family_id() == m_converter.bu().get_family_id());
ast_manager & m = get_manager();
void theory_fpa::assert_cnstr(expr * e) {
if (get_manager().is_true(e)) return;
TRACE("t_fpa", tout << "asserting " << mk_ismt2_pp(e, get_manager()) << "\n";);
context& ctx = get_context();
ctx.internalize(e, false);
literal lit(ctx.get_literal(e));
ctx.mark_as_relevant(lit);
ctx.mk_th_axiom(get_id(), 1, &lit);
}
void theory_fpa::attach_new_th_var(enode * n) {
context & ctx = get_context();
theory_id bv_tid = ctx.get_theory(m.get_sort(x)->get_family_id())->get_id();
literal l = mk_eq(x, y, false);
ctx.mk_th_axiom(bv_tid, 1, &l);
ctx.mark_as_relevant(l);
theory_var v = mk_var(n);
ctx.attach_th_var(n, this, v);
m_tvars.push_back(v);
TRACE("t_fpa", tout << "new theory var: " << mk_ismt2_pp(n->get_owner(), get_manager()) << " := " << v << "\n";);
}
bool theory_fpa::internalize_atom(app * atom, bool gate_ctx) {
TRACE("t_fpa", tout << "internalizing atom: " << mk_ismt2_pp(atom, get_manager()) << "\n";);
SASSERT(atom->get_family_id() == get_family_id());
TRACE("t_fpa_detail", tout << "internalizing atom: " << mk_ismt2_pp(atom, get_manager()) << "\n";);
SASSERT(atom->get_family_id() == get_family_id());
ast_manager & m = get_manager();
context & ctx = get_context();
simplifier & simp = ctx.get_simplifier();
bv_util & bu = m_converter.bu();
expr_ref bv_atom(m);
proof_ref pr(m);
if (ctx.b_internalized(atom))
return true;
@ -96,187 +377,157 @@ namespace smt {
for (unsigned i = 0; i < num_args; i++)
ctx.internalize(atom->get_arg(i), false);
m_rw(atom, bv_atom);
simp(bv_atom, bv_atom, pr);
ctx.internalize(bv_atom, gate_ctx);
literal def = ctx.get_literal(bv_atom);
literal l(ctx.mk_bool_var(atom));
ctx.set_var_theory(l.var(), get_id());
pred_atom * a = new (get_region()) pred_atom(l, def);
insert_bv2a(l.var(), a);
m_trail_stack.push(fpa_atom_trail(l.var()));
expr_ref bv_atom(m);
bv_atom = convert_atom(atom);
bv_atom = m.mk_and(bv_atom, mk_side_conditions());
if (!ctx.relevancy()) {
ctx.mk_th_axiom(get_id(), l, ~def);
ctx.mk_th_axiom(get_id(), ~l, def);
}
add_extra_assertions();
expr_ref atom_iff(m);
assert_cnstr(m.mk_iff(atom, bv_atom));
return true;
}
bool theory_fpa::internalize_term(app * term) {
TRACE("t_fpa", tout << "internalizing term: " << mk_ismt2_pp(term, get_manager()) << "\n";);
TRACE("t_fpa_detail", tout << "internalizing term: " << mk_ismt2_pp(term, get_manager()) << "\n";);
SASSERT(term->get_family_id() == get_family_id());
SASSERT(!get_context().e_internalized(term));
ast_manager & m = get_manager();
context & ctx = get_context();
simplifier & simp = ctx.get_simplifier();
bv_util & bu = m_converter.bu();
sort * term_sort = m.get_sort(term);
expr_ref t(m), bv_term(m);
proof_ref pr(m);
unsigned num_args = term->get_num_args();
for (unsigned i = 0; i < num_args; i++)
ctx.internalize(term->get_arg(i), false);
enode * e = (ctx.e_internalized(term)) ? ctx.get_enode(term) :
ctx.mk_enode(term, false, false, true);
m_rw(term, t);
simp(t, t, pr);
if (is_attached_to_var(e))
return false;
if (m_converter.is_rm(term_sort)) {
SASSERT(is_app(t));
expr_ref bv_rm(m);
proof_ref bv_pr(m);
simp(t, bv_rm, bv_pr);
attach_new_th_var(e);
TRACE("t_fpa", tout << "internalized? " << (ctx.e_internalized(term)?"yes":"no") << std::endl;);
return true;
}
bv_term = bv_rm;
}
else if (m_converter.is_float(term_sort)) {
SASSERT(is_app(t) && to_app(t)->get_num_args() == 3);
app * a = to_app(t);
expr_ref sgn(m), sig(m), exp(m);
proof_ref pr_sgn(m), pr_sig(m), pr_exp(m);
simp(a->get_arg(0), sgn, pr_sgn);
simp(a->get_arg(1), sig, pr_sig);
simp(a->get_arg(2), exp, pr_exp);
void theory_fpa::apply_sort_cnstr(enode * n, sort * s) {
TRACE("t_fpa", tout << "apply sort cnstr for: " << mk_ismt2_pp(n->get_owner(), get_manager()) << "\n";);
SASSERT(n->get_owner()->get_family_id() == get_family_id() ||
n->get_owner()->get_family_id() == null_theory_id);
SASSERT(s->get_family_id() == get_family_id());
ast_manager & m = get_manager();
m_converter.mk_triple(sgn, sig, exp, bv_term);
}
else if (term->get_decl_kind() == OP_FLOAT_TO_IEEE_BV ||
term->get_decl_kind() == OP_FLOAT_TO_REAL) {
SASSERT(is_app(t));
expr_ref bv_e(m);
proof_ref bv_pr(m);
simp(t, bv_term, bv_pr);
}
else
NOT_IMPLEMENTED_YET();
TRACE("t_fpa", tout << "converted: " << mk_ismt2_pp(bv_term, get_manager()) << "\n";);
SASSERT(!m_trans_map.contains(term));
m_trans_map.insert(term, bv_term, 0);
add_extra_assertions();
enode * e = (ctx.e_internalized(term)) ? ctx.get_enode(term) : ctx.mk_enode(term, false, false, true);
theory_var v = mk_var(e);
ctx.attach_th_var(e, this, v);
m_tvars.push_back(v);
TRACE("t_fpa", tout << "new theory var: " << mk_ismt2_pp(term, get_manager()) << " := " << v << "\n";);
SASSERT(e->get_th_var(get_id()) != null_theory_var);
return v != null_theory_var;
}
void theory_fpa::apply_sort_cnstr(enode * n, sort * s) {
if (!is_attached_to_var(n)) {
TRACE("t_fpa", tout << "apply sort cnstr for: " << mk_ismt2_pp(n->get_owner(), get_manager()) << "\n";);
context & ctx = get_context();
ast_manager & m = get_manager();
simplifier & simp = ctx.get_simplifier();
app * owner = n->get_owner();
expr_ref converted(m);
proof_ref pr(m);
theory_var v = mk_var(n);
ctx.attach_th_var(n, this, v);
m_tvars.push_back(v);
m_rw(owner, converted);
simp(converted, converted, pr);
m_trans_map.insert(owner, converted, 0);
add_extra_assertions();
if (!is_attached_to_var(n))
attach_new_th_var(n);
sort * owner_sort = m.get_sort(owner);
if (m_converter.is_rm(owner_sort)) {
bv_util & bu = m_converter.bu();
expr_ref t(m);
t = bu.mk_ule(converted, bu.mk_numeral(4, bu.get_bv_size(converted)));
ctx.internalize_assertion(t, proof_ref(m), 0);
app * owner = n->get_owner();
sort * owner_sort = m.get_sort(owner);
if (m_converter.is_rm(owner_sort)) {
bv_util & bu = m_converter.bu();
func_decl *wrap, *unwrap;
get_wrap(owner_sort, wrap, unwrap);
if (owner->get_decl() != unwrap)
{
expr_ref converted(m), t(m);
m_rw(owner, converted);
t = bu.mk_ule(converted, bu.mk_numeral(4, 3));
assert_cnstr(t);
}
TRACE("t_fpa", tout << "new theory var (const): " << mk_ismt2_pp(owner, get_manager()) << " := " << v << "\n";);
}
}
void theory_fpa::new_eq_eh(theory_var x, theory_var y) {
TRACE("t_fpa", tout << "new eq: " << x << " = " << y << "\n";);
ast_manager & m = get_manager();
TRACE("t_fpa", tout << "new eq: " << x << " = " << y << std::endl;
tout << mk_ismt2_pp(get_enode(x)->get_owner(), m) << " = " <<
mk_ismt2_pp(get_enode(y)->get_owner(), m) << std::endl; );
context & ctx = get_context();
float_util & fu = m_converter.fu();
bv_util & bu = m_converter.bu();
mpf_manager & mpfm = fu.fm();
app * ax = get_enode(x)->get_owner();
app * ay = get_enode(y)->get_owner();
expr * ex, *ey;
proof * px, *py;
m_trans_map.get(ax, ex, px);
m_trans_map.get(ay, ey, py);
app * xe = get_enode(x)->get_owner();
app * ye = get_enode(y)->get_owner();
if (fu.is_float(get_enode(x)->get_owner())) {
expr * sgn_x, *sig_x, *exp_x;
expr * sgn_y, *sig_y, *exp_y;
split_triple(ex, sgn_x, sig_x, exp_x);
split_triple(ey, sgn_y, sig_y, exp_y);
if (fu.is_float(xe) && fu.is_float(ye))
{
expr_ref xc(m), yc(m);
xc = convert_term(xe);
yc = convert_term(ye);
mk_bv_eq(sgn_x, sgn_y);
mk_bv_eq(sig_x, sig_y);
mk_bv_eq(exp_x, exp_y);
expr *x_sgn, *x_sig, *x_exp;
m_converter.split_triple(xc, x_sgn, x_sig, x_exp);
expr *y_sgn, *y_sig, *y_exp;
m_converter.split_triple(yc, y_sgn, y_sig, y_exp);
expr_ref c(m);
c = m.mk_and(m.mk_eq(x_sgn, y_sgn),
m.mk_eq(x_sig, y_sig),
m.mk_eq(x_exp, y_exp));
assert_cnstr(c);
assert_cnstr(mk_side_conditions());
}
else if (fu.is_rm(get_enode(x)->get_owner())) {
mk_bv_eq(ex, ey);
else if (fu.is_rm(xe) && fu.is_rm(ye)) {
expr_ref xc(m), yc(m);
xc = convert_term(xe);
yc = convert_term(ye);
expr_ref c(m);
c = m.mk_eq(xc, yc);
assert_cnstr(c);
assert_cnstr(mk_side_conditions());
}
else
UNREACHABLE();
return;
}
void theory_fpa::new_diseq_eh(theory_var x, theory_var y) {
TRACE("t_fpa", tout << "new diseq: " << x << " != " << y << "\n";);
ast_manager & m = get_manager();
TRACE("t_fpa", tout << "new diseq: " << x << " != " << y << std::endl;
tout << mk_ismt2_pp(get_enode(x)->get_owner(), m) << " != " <<
mk_ismt2_pp(get_enode(y)->get_owner(), m) << std::endl;);
context & ctx = get_context();
float_util & fu = m_converter.fu();
bv_util & bu = m_converter.bu();
mpf_manager & mpfm = fu.fm();
app * ax = get_enode(x)->get_owner();
app * ay = get_enode(y)->get_owner();
expr * ex, *ey;
proof * px, *py;
m_trans_map.get(ax, ex, px);
m_trans_map.get(ay, ey, py);
app * xe = get_enode(x)->get_owner();
app * ye = get_enode(y)->get_owner();
expr_ref deq(m);
if (fu.is_float(xe) && fu.is_float(ye))
{
expr_ref xc(m), yc(m);
xc = convert_term(xe);
yc = convert_term(ye);
if (fu.is_float(m.get_sort(get_enode(x)->get_owner()))) {
expr * sgn_x, *sig_x, *exp_x;
expr * sgn_y, *sig_y, *exp_y;
split_triple(ex, sgn_x, sig_x, exp_x);
split_triple(ex, sgn_y, sig_y, exp_y);
deq = m.mk_or(m.mk_not(m.mk_eq(sgn_x, sgn_y)),
m.mk_not(m.mk_eq(sig_x, sig_y)),
m.mk_not(m.mk_eq(exp_x, exp_y)));
}
else if (fu.is_rm(m.get_sort(get_enode(x)->get_owner()))) {
deq = m.mk_not(m.mk_eq(ex, ey));
expr *x_sgn, *x_sig, *x_exp;
m_converter.split_triple(xc, x_sgn, x_sig, x_exp);
expr *y_sgn, *y_sig, *y_exp;
m_converter.split_triple(yc, y_sgn, y_sig, y_exp);
expr_ref c(m);
c = m.mk_or(m.mk_not(m.mk_eq(x_sgn, y_sgn)),
m.mk_not(m.mk_eq(x_sig, y_sig)),
m.mk_not(m.mk_eq(x_exp, y_exp)));
assert_cnstr(c);
assert_cnstr(mk_side_conditions());
}
else
UNREACHABLE();
ctx.internalize(deq, true);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(deq));
ctx.mark_as_relevant(deq);
else if (fu.is_rm(xe) && fu.is_rm(ye)) {
expr_ref xc(m), yc(m);
xc = convert_term(xe);
yc = convert_term(ye);
expr_ref c(m);
c = m.mk_not(m.mk_eq(xc, yc));
assert_cnstr(c);
assert_cnstr(mk_side_conditions());
}
return;
}
void theory_fpa::push_scope_eh() {
@ -289,198 +540,117 @@ namespace smt {
m_trail_stack.pop_scope(num_scopes);
unsigned num_old_vars = get_old_num_vars(num_scopes);
for (unsigned i = num_old_vars; i < get_num_vars(); i++) {
m_trans_map.erase(get_enode(m_tvars[i])->get_owner());
// m_trans_map.erase(get_enode(m_tvars[i])->get_owner());
}
m_tvars.shrink(num_old_vars);
theory::pop_scope_eh(num_scopes);
}
model_value_proc * theory_fpa::mk_value(enode * n, model_generator & mg) {
ast_manager & m = get_manager();
context & ctx = get_context();
bv_util & bu = m_converter.bu();
float_util & fu = m_converter.fu();
mpf_manager & mpfm = fu.fm();
unsynch_mpz_manager & mpzm = mpfm.mpz_manager();
unsynch_mpq_manager & mpqm = mpfm.mpq_manager();
theory_var v = n->get_th_var(get_id());
SASSERT(v != null_theory_var);
expr * fpa_e = get_enode(v)->get_owner();
TRACE("t_fpa", tout << "mk_value for: " << mk_ismt2_pp(fpa_e, m) << "\n";);
expr * bv_e;
proof * bv_pr;
m_trans_map.get(fpa_e, bv_e, bv_pr);
sort * fpa_e_srt = m.get_sort(fpa_e);
expr_wrapper_proc * res = 0;
if (fu.is_rm(fpa_e_srt)) {
if (!ctx.e_internalized(bv_e))
res = alloc(expr_wrapper_proc, fu.mk_round_nearest_ties_to_away());
else
{
theory_bv * bv_th = (theory_bv*)ctx.get_theory(m.get_family_id("bv"));
rational val;
bv_th->get_fixed_value(ctx.get_enode(bv_e)->get_owner(), val); // OK to fail
app * fp_val_e;
SASSERT(val.is_uint64());
switch (val.get_uint64())
{
case BV_RM_TIES_TO_AWAY: fp_val_e = fu.mk_round_nearest_ties_to_away(); break;
case BV_RM_TIES_TO_EVEN: fp_val_e = fu.mk_round_nearest_ties_to_even(); break;
case BV_RM_TO_NEGATIVE: fp_val_e = fu.mk_round_toward_negative(); break;
case BV_RM_TO_POSITIVE: fp_val_e = fu.mk_round_toward_positive(); break;
case BV_RM_TO_ZERO:
default: fp_val_e = fu.mk_round_toward_zero();
}
TRACE("t_fpa", tout << mk_ismt2_pp(fpa_e, m) << " := " << mk_ismt2_pp(fp_val_e, m) << std::endl;);
res = alloc(expr_wrapper_proc, fp_val_e);
}
}
else if (fu.is_float(fpa_e_srt)) {
expr * bv_sgn, *bv_sig, *bv_exp;
split_triple(bv_e, bv_sgn, bv_sig, bv_exp);
family_id fid = m.get_family_id("bv");
theory_bv * bv_th = (theory_bv*)ctx.get_theory(fid);
app * e_sgn, *e_sig, *e_exp;
unsigned ebits = fpa_e_srt->get_parameter(0).get_int();
unsigned sbits = fpa_e_srt->get_parameter(1).get_int();
unsigned sig_sz = fpa_e_srt->get_parameter(1).get_int() - 1;
rational bias = mpfm.m_powers2.m1(ebits - 1);
rational sgn_r(0), sig_r(0), exp_r(bias);
e_sgn = (ctx.e_internalized(bv_sgn)) ? ctx.get_enode(bv_sgn)->get_owner() :
bu.mk_numeral(0, 1);
e_sig = (ctx.e_internalized(bv_sig)) ? ctx.get_enode(bv_sig)->get_owner() :
bu.mk_numeral(0, sig_sz);
e_exp = (ctx.e_internalized(bv_exp)) ? ctx.get_enode(bv_exp)->get_owner() :
bu.mk_numeral(bias, ebits);
TRACE("t_fpa", tout << "bv rep: ["
<< mk_ismt2_pp(e_sgn, m) << "\n"
<< mk_ismt2_pp(e_sig, m) << "\n"
<< mk_ismt2_pp(e_exp, m) << "]\n";);
if (!ctx.e_internalized(bv_sgn) ||
ctx.get_enode(bv_sgn)->get_num_th_vars() == 0 ||
!bv_th->get_fixed_value(e_sgn, sgn_r))
sgn_r = rational(0);
if (!ctx.e_internalized(bv_sig) ||
ctx.get_enode(bv_sig)->get_num_th_vars() == 0 ||
!bv_th->get_fixed_value(e_sig, sig_r))
sig_r = rational(0);
if (!ctx.e_internalized(bv_exp) ||
ctx.get_enode(bv_exp)->get_num_th_vars() == 0 ||
!bv_th->get_fixed_value(e_exp, exp_r))
exp_r = bias;
// un-bias exponent
rational exp_unbiased_r;
exp_unbiased_r = exp_r - bias;
TRACE("t_fpa", tout << "bv model: [" << sgn_r.to_string() << " "
<< sig_r.to_string() << " "
<< exp_unbiased_r.to_string() << "(" << exp_r.to_string() << ")]\n"; );
scoped_mpz sig_z(mpzm);
mpf_exp_t exp_z;
scoped_mpq sig_q(mpqm), exp_q(mpqm);
scoped_mpz sig_num(mpzm), exp_num(mpzm);
mpqm.set(sig_q, sig_r.to_mpq());
mpzm.set(sig_num, sig_q.get().numerator());
mpqm.set(exp_q, exp_unbiased_r.to_mpq());
mpzm.set(exp_num, exp_q.get().numerator());
mpzm.set(sig_z, sig_num);
exp_z = mpzm.get_int64(exp_num);
scoped_mpf fp_val(mpfm);
mpfm.set(fp_val, ebits, sbits, !sgn_r.is_zero(), sig_z, exp_z);
TRACE("t_fpa", tout << mk_ismt2_pp(fpa_e, m) << " := " << mpfm.to_string(fp_val) << std::endl;);
res = alloc(expr_wrapper_proc, m_factory->mk_value(fp_val));
}
else
UNREACHABLE();
return res;
}
}
void theory_fpa::assign_eh(bool_var v, bool is_true) {
TRACE("t_fpa", tout << "assign_eh for: " << v << " (" << is_true << ")\n";);
/* CMW: okay to ignore? */
theory::assign_eh(v, is_true);
ast_manager & m = get_manager();
context & ctx = get_context();
expr * e = ctx.bool_var2expr(v);
TRACE("t_fpa", tout << "assign_eh for: " << v << " (" << is_true << "):\n" << mk_ismt2_pp(e, m) << "\n";);
expr_ref converted(m);
m_rw(e, converted);
converted = m.mk_and(converted, mk_side_conditions());
if (!is_true) converted = m.mk_not(converted);
assert_cnstr(converted);
}
void theory_fpa::relevant_eh(app * n) {
TRACE("t_fpa", tout << "relevant_eh for: " << mk_ismt2_pp(n, get_manager()) << "\n";);
NOT_IMPLEMENTED_YET();
ast_manager & m = get_manager();
context & ctx = get_context();
if (m.is_bool(n))
return;
float_util & fu = m_converter.fu();
bv_util & bu = m_converter.bu();
mpf_manager & mpfm = fu.fm();
if (m.is_bool(n)) {
bool_var v = ctx.get_bool_var(n);
atom * a = get_bv2a(v);
pred_atom * pa = static_cast<pred_atom*>(a);
ctx.mark_as_relevant(pa->m_def);
ctx.mk_th_axiom(get_id(), pa->m_var, ~pa->m_def);
ctx.mk_th_axiom(get_id(), ~pa->m_var, pa->m_def);
}
else if (ctx.e_internalized(n)) {
SASSERT(m_trans_map.contains(n));
expr * ex;
proof * px;
m_trans_map.get(n, ex, px);
sort * n_srt = m.get_sort(n);
if (bu.is_bv(n))
return;
if (fu.is_rm(n_srt)) {
ctx.mark_as_relevant(ex);
}
else if (fu.is_float(n_srt)) {
expr * bv_sgn, *bv_sig, *bv_exp;
split_triple(ex, bv_sgn, bv_sig, bv_exp);
sort * s = m.get_sort(n);
func_decl *wrap, *unwrap;
get_wrap(s, wrap, unwrap);
ctx.mark_as_relevant(bv_sgn);
ctx.mark_as_relevant(bv_sig);
ctx.mark_as_relevant(bv_exp);
}
else if (n->get_decl()->get_decl_kind() == OP_FLOAT_TO_IEEE_BV ||
n->get_decl()->get_decl_kind() == OP_FLOAT_TO_REAL) {
expr_ref eq(m);
app * ex_a = to_app(ex);
if (n->get_id() > ex_a->get_id())
std::swap(n, ex_a);
eq = m.mk_eq(n, ex_a);
ctx.internalize(eq, false);
literal l = ctx.get_literal(eq);
ctx.mk_th_axiom(get_id(), 1, &l);
ctx.mark_as_relevant(l);
if (n->get_decl() != unwrap) {
expr * wrapped = m.mk_app(wrap, n);
mpf_rounding_mode rm;
scoped_mpf val(mpfm);
if (fu.is_rm_value(n, rm))
assert_cnstr(m.mk_eq(wrapped, bu.mk_numeral(rm, 3)));
else if (fu.is_value(n, val)) {
unsigned sz = val.get().get_ebits() + val.get().get_sbits();
scoped_mpq q(fu.fm().mpq_manager());
mpfm.to_rational(val, q);
assert_cnstr(m.mk_eq(wrapped, bu.mk_numeral(rational(q), sz)));
}
else
NOT_IMPLEMENTED_YET();
assert_cnstr(m.mk_eq(m.mk_app(unwrap, wrapped), n));
}
else
UNREACHABLE();
}
void theory_fpa::reset_eh() {
TRACE("t_fpa", tout << "reset_eh for: " << "\n";);
pop_scope_eh(m_trail_stack.get_num_scopes());
m_rw.reset();
m_trans_map.reset();
m_bool_var2atom.reset();
m_temporaries.reset();
m_tvars.reset();
theory::reset_eh();
}
void theory_fpa::init_model(model_generator & m) {
void theory_fpa::init_model(model_generator & mg) {
TRACE("t_fpa", tout << "initializing model" << std::endl;);
m_factory = alloc(fpa_factory, get_manager(), get_family_id());
m.register_factory(m_factory);
mg.register_factory(m_factory);
TRACE("t_fpa", display(tout););
}
model_value_proc * theory_fpa::mk_value(enode * n, model_generator & mg) {
TRACE("t_fpa", tout << "mk_value for: " << mk_ismt2_pp(n->get_owner(), get_manager()) << "\n";);
ast_manager & m = get_manager();
float_util & fu = m_converter.fu();
expr * owner = n->get_owner();
sort * o_srt = m.get_sort(owner);
mpf_rounding_mode rm;
if (fu.is_rm_value(n->get_owner(), rm))
return alloc(expr_wrapper_proc, n->get_owner());
else if (fu.is_value(n->get_owner()))
return alloc(expr_wrapper_proc, n->get_owner());
else if (fu.is_rm(owner))
return alloc(fpa_rm_value_proc, this, app_ref(to_app(owner), m));
else if (fu.is_float(owner))
return alloc(fpa_value_proc, this, app_ref(to_app(owner), m));
UNREACHABLE();
return 0;
}
void theory_fpa::finalize_model(model_generator & mg) {}
void theory_fpa::display(std::ostream & out) const
{
ast_manager & m = get_manager();
context & ctx = get_context();
out << "theory variables:" << std::endl;
ptr_vector<enode>::const_iterator it = ctx.begin_enodes();
ptr_vector<enode>::const_iterator end = ctx.end_enodes();
for (; it != end; it++)
out << (*it)->get_th_var(get_family_id()) << " -> " <<
mk_ismt2_pp((*it)->get_owner(), m) << std::endl;
}
};

86
src/smt/theory_fpa.h
View file

@ -23,7 +23,9 @@ Revision History:
#include"trail.h"
#include"fpa2bv_converter.h"
#include"fpa2bv_rewriter.h"
#include"th_rewriter.h"
#include"value_factory.h"
#include"smt_model_generator.h"
namespace smt {
@ -52,8 +54,7 @@ namespace smt {
app * mk_value(mpf const & x) {
return m_util.mk_value(x);
}
};
};
class theory_fpa : public theory {
class th_trail_stack : public trail_stack<theory_fpa> {
@ -62,6 +63,45 @@ namespace smt {
virtual ~th_trail_stack() {}
};
class fpa2bv_converter_wrapped : public fpa2bv_converter {
public:
theory_fpa & m_th;
fpa2bv_converter_wrapped(ast_manager & m, theory_fpa * th) :
fpa2bv_converter(m),
m_th(*th) {}
virtual ~fpa2bv_converter_wrapped() {}
virtual void mk_const(func_decl * f, expr_ref & result);
virtual void mk_rm_const(func_decl * f, expr_ref & result);
};
class fpa_value_proc : public model_value_proc {
protected:
theory_fpa & m_th;
app_ref m_a;
svector<model_value_dependency> m_dependencies;
public:
fpa_value_proc(theory_fpa * th, app_ref & a) : m_th(*th), m_a(a) {}
void add_dependency(enode * n) { m_dependencies.push_back(model_value_dependency(n)); }
virtual ~fpa_value_proc() {}
virtual void get_dependencies(buffer<model_value_dependency> & result) {
result.append(m_dependencies.size(), m_dependencies.c_ptr());
}
virtual app * mk_value(model_generator & mg, ptr_vector<expr> & values);
};
class fpa_rm_value_proc : public fpa_value_proc {
float_util & m_fu;
bv_util & m_bu;
public:
fpa_rm_value_proc(theory_fpa * th, app_ref & a) :
fpa_value_proc(th, a),
m_fu(th->m_converter.fu()),
m_bu(th->m_converter.bu()) {}
void add_dependency(enode * n) { fpa_value_proc::add_dependency(n); }
virtual ~fpa_rm_value_proc() {}
virtual app * mk_value(model_generator & mg, ptr_vector<expr> & values);
};
public:
class atom {
public:
@ -79,17 +119,20 @@ namespace smt {
void insert_bv2a(bool_var bv, pred_atom * a) { m_bool_var2atom.setx(bv, a, 0); }
void erase_bv2a(bool_var bv) { m_bool_var2atom[bv] = 0; }
pred_atom * get_bv2a(bool_var bv) const { return m_bool_var2atom.get(bv, 0); }
region & get_region() { return m_trail_stack.get_region(); }
region & get_region() { return m_trail_stack.get_region(); }
protected:
fpa2bv_converter m_converter;
fpa2bv_rewriter m_rw;
expr_map m_trans_map;
th_trail_stack m_trail_stack;
bool_var2atom m_bool_var2atom;
enode_vector m_temporaries;
int_vector m_tvars;
fpa_factory * m_factory;
fpa2bv_converter_wrapped m_converter;
fpa2bv_rewriter m_rw;
th_rewriter m_th_rw;
th_trail_stack m_trail_stack;
bool_var2atom m_bool_var2atom;
enode_vector m_temporaries;
vector<theory_var> m_tvars;
fpa_factory * m_factory;
obj_map<sort, func_decl*> m_wraps;
obj_map<sort, func_decl*> m_unwraps;
float_decl_plugin m_flt_plugin;
virtual final_check_status final_check_eh() { return FC_DONE; }
virtual bool internalize_atom(app * atom, bool gate_ctx);
@ -108,21 +151,24 @@ namespace smt {
void assign_eh(bool_var v, bool is_true);
virtual void relevant_eh(app * n);
virtual void init_model(model_generator & m);
virtual void finalize_model(model_generator & mg);
public:
theory_fpa(ast_manager& m);
virtual ~theory_fpa();
protected:
void split_triple(expr * e, expr * & sgn, expr * & sig, expr * & exp) const {
SASSERT(is_app_of(e, get_family_id(), OP_FLOAT_TO_FP));
SASSERT(to_app(e)->get_num_args() == 3);
sgn = to_app(e)->get_arg(0);
sig = to_app(e)->get_arg(1);
exp = to_app(e)->get_arg(2);
}
virtual void display(std::ostream & out) const;
protected:
expr_ref mk_side_conditions();
expr_ref convert_atom(expr * e);
expr_ref convert_term(expr * e);
void get_wrap(sort * s, func_decl *& wrap, func_decl *& unwrap);
void add_trail(ast * a);
void add_extra_assertions();
void mk_bv_eq(expr * x, expr * y);
void attach_new_th_var(enode * n);
void assert_cnstr(expr * e);
};
};