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FPA theory improvements

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Signed-off-by: Christoph M. Wintersteiger <cwinter@microsoft.com>
This commit is contained in:
Christoph M. Wintersteiger 2014-06-12 15:14:06 +01:00
parent 129e2f5e23
commit 8b8cee7f64
2 changed files with 119 additions and 107 deletions
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221
src/smt/theory_fpa.cpp
View file

@ -37,6 +37,25 @@ namespace smt {
{
}
void theory_fpa::mk_bv_eq(expr * x, expr * y) {
ast_manager & m = get_manager();
context & ctx = get_context();
expr_ref eq(m);
eq = m.mk_eq(x, y);
ctx.internalize(eq, false);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(eq));
ctx.mark_as_relevant(eq);
}
expr_ref theory_fpa::mk_eq_bv_const(expr_ref const & e) {
ast_manager & m = get_manager();
context & ctx = get_context();
expr_ref bv_const(m);
bv_const = m.mk_fresh_const(0, m.get_sort(e));
mk_bv_eq(bv_const, e);
return bv_const;
}
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());
@ -51,53 +70,60 @@ namespace smt {
ast_manager & m = get_manager();
context & ctx = get_context();
simplifier & simp = ctx.get_simplifier();
unsigned num_args = term->get_num_args();
for (unsigned i = 0; i < num_args; i++)
ctx.internalize(term->get_arg(i), false);
if (m_converter.is_float(m.get_sort(term))) {
expr_ref res(m);
m_rw(term, res);
SASSERT(is_app(res) && to_app(res)->get_num_args() == 3);
TRACE("t_fpa", tout << "converted: " << mk_ismt2_pp(res, get_manager()) << "\n";);
app * a = to_app(res);
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);
expr_ref res(m);
m_rw(term, res);
SASSERT(is_app(res) && to_app(res)->get_num_args() == 3);
app * a = to_app(res);
TRACE("t_fpa", tout << "converted: " << mk_ismt2_pp(res, get_manager()) << "\n";);
expr_ref bv_v_sgn = mk_eq_bv_const(sgn);
expr_ref bv_v_sig = mk_eq_bv_const(sig);
expr_ref bv_v_exp = mk_eq_bv_const(exp);
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);
expr_ref s_term(m);
m_converter.mk_triple(bv_v_sgn, bv_v_sig, bv_v_exp, s_term);
expr_ref bv_v_sgn(m), bv_v_sig(m), bv_v_exp(m);
bv_v_sgn = m.mk_fresh_const("fpa2bv", m.get_sort(sgn));
bv_v_sig = m.mk_fresh_const("fpa2bv", m.get_sort(sig));
bv_v_exp = m.mk_fresh_const("fpa2bv", m.get_sort(exp));
expr_ref e1(m), e2(m), e3(m);
e1 = m.mk_eq(bv_v_sgn, sgn);
e2 = m.mk_eq(bv_v_sig, sig);
e3 = m.mk_eq(bv_v_exp, exp);
ctx.internalize(e1, false);
ctx.internalize(e2, false);
ctx.internalize(e3, false);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e1));
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e2));
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e3));
ctx.mark_as_relevant(e1);
ctx.mark_as_relevant(e2);
ctx.mark_as_relevant(e3);
SASSERT(!m_trans_map.contains(term));
m_trans_map.insert(term, s_term, 0);
}
else if (m_converter.is_rm_sort(m.get_sort(term))) {
expr_ref res(m);
m_rw(term, res);
SASSERT(is_app(res));
TRACE("t_fpa", tout << "converted: " << mk_ismt2_pp(res, get_manager()) << "\n";);
app * a = to_app(res);
expr_ref bv_rm(m);
proof_ref bv_pr(m);
simp(res, bv_rm, bv_pr);
expr_ref s_term(m);
m_converter.mk_triple(bv_v_sgn, bv_v_sig, bv_v_exp, s_term);
expr_ref bv_v = mk_eq_bv_const(bv_rm);
SASSERT(!m_trans_map.contains(term));
m_trans_map.insert(term, s_term, 0);
SASSERT(!m_trans_map.contains(term));
m_trans_map.insert(term, bv_v, 0);
}
else
UNREACHABLE();
enode * e = ctx.mk_enode(term, false, false, true);
theory_var v = mk_var(e);
theory_var v = mk_var(e);
ctx.attach_th_var(e, this, 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;
}
@ -116,12 +142,7 @@ namespace smt {
m_trans_map.insert(owner, converted, 0);
if (m_converter.is_rm_sort(m.get_sort(owner))) {
expr_ref bv_v(m), eq(m);
bv_v = m.mk_fresh_const("fpa2bv", m.get_sort(converted));
eq = m.mk_eq(bv_v, converted);
ctx.internalize(eq, false);
literal l = ctx.get_literal(eq);
ctx.mk_th_axiom(get_id(), 1, &l);
mk_eq_bv_const(converted);
}
else {
app * a = to_app(converted);
@ -131,89 +152,77 @@ namespace smt {
simp(a->get_arg(1), sig, pr_sig);
simp(a->get_arg(2), exp, pr_exp);
ctx.internalize(sgn, false);
ctx.internalize(sig, false);
ctx.internalize(exp, false);
expr_ref bv_v_sgn(m), bv_v_sig(m), bv_v_exp(m);
bv_v_sgn = m.mk_fresh_const("fpa2bv", m.get_sort(sgn));
bv_v_sig = m.mk_fresh_const("fpa2bv", m.get_sort(sig));
bv_v_exp = m.mk_fresh_const("fpa2bv", m.get_sort(exp));
expr_ref e1(m), e2(m), e3(m);
e1 = m.mk_eq(bv_v_sgn, sgn);
e2 = m.mk_eq(bv_v_sig, sig);
e3 = m.mk_eq(bv_v_exp, exp);
ctx.internalize(e1, true);
ctx.internalize(e2, true);
ctx.internalize(e3, true);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e1));
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e2));
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e3));
ctx.mark_as_relevant(e1);
ctx.mark_as_relevant(e2);
ctx.mark_as_relevant(e3);
mk_eq_bv_const(sgn);
mk_eq_bv_const(sig);
mk_eq_bv_const(exp);
}
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) {
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();
context & ctx = get_context();
app * ax = get_enode(x)->get_owner();
app * ay = get_enode(y)->get_owner();
expr * ex, * ey;
proof * px, * py;
expr * ex, *ey;
proof * px, *py;
m_trans_map.get(ax, ex, px);
m_trans_map.get(ay, ey, py);
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);
expr_ref e1(m), e2(m), e3(m);
e1 = m.mk_eq(sgn_x, sgn_y);
e2 = m.mk_eq(sig_x, sig_y);
e3 = m.mk_eq(exp_x, exp_y);
ctx.internalize(e1, true);
ctx.internalize(e2, true);
ctx.internalize(e3, true);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e1));
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e2));
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e3));
ctx.mark_as_relevant(e1);
ctx.mark_as_relevant(e2);
ctx.mark_as_relevant(e3);
if (m_converter.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(ey, sgn_y, sig_y, exp_y);
mk_bv_eq(sgn_x, sgn_y);
mk_bv_eq(sig_x, sig_y);
mk_bv_eq(exp_x, exp_y);
}
else if (m_converter.fu().is_rm(m.get_sort(get_enode(x)->get_owner()))) {
mk_bv_eq(ex, ey);
}
else
UNREACHABLE();
}
void theory_fpa::new_diseq_eh(theory_var x, theory_var y) {
TRACE("t_fpa", tout << "new eq: " << x << " = " << y << "\n";);
ast_manager & m = get_manager();
context & ctx = get_context();
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);
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);
expr_ref deq(m);
expr_ref e1(m), e2(m), e3(m);
e1 = m.mk_not(m.mk_eq(sgn_x, sgn_y));
e2 = m.mk_or(e1, m.mk_not(m.mk_eq(sig_x, sig_y)));
e3 = m.mk_or(e2, m.mk_not(m.mk_eq(exp_x, exp_y)));
ctx.internalize(e3, true);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(e3));
ctx.mark_as_relevant(e3);
if (m_converter.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 (m_converter.fu().is_rm(m.get_sort(get_enode(x)->get_owner()))) {
deq = m.mk_not(m.mk_eq(ex, ey));
}
else
UNREACHABLE();
ctx.internalize(deq, true);
ctx.mk_th_axiom(get_id(), 1, &ctx.get_literal(deq));
ctx.mark_as_relevant(deq);
}
void theory_fpa::push_scope_eh() {
@ -273,7 +282,7 @@ namespace smt {
res = alloc(expr_wrapper_proc, fp_val_e);
}
}
else {
else if (fu.is_float(m.get_sort(fpa_e))) {
expr * bv_sgn, *bv_sig, *bv_exp;
split_triple(bv_e, bv_sgn, bv_sig, bv_exp);
@ -283,15 +292,15 @@ namespace smt {
enode * e_sgn = ctx.get_enode(bv_sgn);
enode * e_sig = ctx.get_enode(bv_sig);
enode * e_exp = ctx.get_enode(bv_exp);
enode * e_exp = ctx.get_enode(bv_exp);
TRACE("t_fpa", tout << "bv rep: [" << mk_ismt2_pp(e_sgn->get_owner(), m) << " "
<< mk_ismt2_pp(e_sig->get_owner(), m) << " "
<< mk_ismt2_pp(e_exp->get_owner(), m) << "]\n";);
<< mk_ismt2_pp(e_sig->get_owner(), m) << " "
<< mk_ismt2_pp(e_exp->get_owner(), m) << "]\n";);
sort * s = m.get_sort(e_sgn->get_owner());
family_id fid = s->get_family_id();
theory_bv * bv_th = (theory_bv*)ctx.get_theory(fid);
theory_bv * bv_th = (theory_bv*)ctx.get_theory(fid);
SASSERT(bv_th->is_attached_to_var(e_sgn));
SASSERT(bv_th->is_attached_to_var(e_sig));
@ -301,8 +310,8 @@ namespace smt {
sig_sz = bu.get_bv_size(e_sig->get_owner());
exp_sz = bu.get_bv_size(e_exp->get_owner());
rational sgn_r(0), sig_r(0), exp_r(0);
rational sgn_r(0), sig_r(0), exp_r(0);
if (!bv_th->get_fixed_value(e_sgn->get_owner(), sgn_r) ||
!bv_th->get_fixed_value(e_sig->get_owner(), sig_r) ||
!bv_th->get_fixed_value(e_exp->get_owner(), exp_r)) {
@ -310,8 +319,8 @@ namespace smt {
}
else {
TRACE("t_fpa", tout << "bv model: [" << sgn_r.to_string() << " "
<< sig_r.to_string() << " "
<< exp_r.to_string() << "]\n";);
<< sig_r.to_string() << " "
<< exp_r.to_string() << "]\n";);
// un-bias exponent
rational exp_unbiased_r;
@ -345,6 +354,8 @@ namespace smt {
res = alloc(expr_wrapper_proc, fp_val_e);
}
}
else
UNREACHABLE();
return res;
}
@ -377,6 +388,6 @@ namespace smt {
}
}
else
NOT_IMPLEMENTED_YET();
UNREACHABLE();
}
};

5
src/smt/theory_fpa.h
View file

@ -59,8 +59,9 @@ namespace smt {
sig = to_app(e)->get_arg(1);
exp = to_app(e)->get_arg(2);
}
void ensure_bv_var(expr_ref const & n);
void mk_bv_eq(expr * x, expr * y);
expr_ref mk_eq_bv_const(expr_ref const & e);
};
};