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Eliminated unspecified operators for fp.to_*bv, fp.to_real. Also fixes #1191.

This commit is contained in:
Christoph M. Wintersteiger 2017-09-12 19:43:45 +01:00
parent 85697dff3e
commit 31cfca0444
11 changed files with 118 additions and 337 deletions

View file

@ -2855,8 +2855,7 @@ void fpa2bv_converter::mk_to_real(func_decl * f, unsigned num, expr * const * ar
tout << "exp2 = " << mk_ismt2_pp(exp2, m) << std::endl;);
expr_ref unspec(m);
unspec = mk_to_real_unspecified(ebits, sbits);
mk_to_real_unspecified(f, num, args, unspec);
result = m.mk_ite(x_is_zero, zero, res);
result = m.mk_ite(x_is_inf, unspec, result);
result = m.mk_ite(x_is_nan, unspec, result);
@ -3141,11 +3140,12 @@ void fpa2bv_converter::mk_to_fp_unsigned(func_decl * f, unsigned num, expr * con
void fpa2bv_converter::mk_to_ieee_bv(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 1);
expr_ref x(m), x_is_nan(m);
expr_ref x(m), x_is_nan(m), x_flat(m);
expr * sgn, * s, * e;
x = args[0];
split_fp(x, sgn, e, s);
mk_is_nan(x, x_is_nan);
join_fp(x, x_flat);
sort * fp_srt = m.get_sort(x);
unsigned ebits = m_util.get_ebits(fp_srt);
@ -3159,13 +3159,12 @@ void fpa2bv_converter::mk_to_ieee_bv(func_decl * f, unsigned num, expr * const *
m_bv_util.mk_concat(m_bv_util.mk_numeral(0, sbits - 2),
m_bv_util.mk_numeral(1, 1))));
else {
app_ref unspec(m);
unspec = m_util.mk_to_ieee_bv_unspecified(ebits, sbits);
mk_to_ieee_bv_unspecified(unspec->get_decl(), 0, 0, nanv);
expr * x_flatp = x_flat.get();
mk_to_ieee_bv_unspecified(f, 1, &x_flatp, nanv);
}
expr_ref sgn_e_s(m);
sgn_e_s = m_bv_util.mk_concat(m_bv_util.mk_concat(sgn, e), s);
join_fp(x, sgn_e_s);
m_simp.mk_ite(x_is_nan, nanv, sgn_e_s, result);
TRACE("fpa2bv_to_ieee_bv", tout << "result=" << mk_ismt2_pp(result, m) << std::endl;);
@ -3173,7 +3172,8 @@ void fpa2bv_converter::mk_to_ieee_bv(func_decl * f, unsigned num, expr * const *
}
void fpa2bv_converter::mk_to_ieee_bv_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 0);
SASSERT(num == 1);
SASSERT(m_util.is_float(args[0]));
unsigned ebits = f->get_parameter(0).get_int();
unsigned sbits = f->get_parameter(1).get_int();
@ -3184,26 +3184,30 @@ void fpa2bv_converter::mk_to_ieee_bv_unspecified(func_decl * f, unsigned num, ex
m_bv_util.mk_numeral(1, sbits-1));
}
else {
func_decl * fd;
if (m_uf2bvuf.find(f, fd))
result = m.mk_const(fd);
else {
fd = m.mk_fresh_func_decl(0, 0, 0, f->get_range());
m_uf2bvuf.insert(f, fd);
expr * n = args[0];
expr_ref n_bv(m);
join_fp(n, n_bv);
func_decl * f_bv;
if (!m_uf2bvuf.find(f, f_bv)) {
sort * domain[2] = { m.get_sort(n_bv) };
f_bv = m.mk_fresh_func_decl(0, 1, domain, f->get_range());
m_uf2bvuf.insert(f, f_bv);
m.inc_ref(f);
m.inc_ref(fd);
result = m.mk_const(fd);
expr_ref exp_bv(m), exp_all_ones(m);
exp_bv = m_bv_util.mk_extract(ebits+sbits-2, sbits-1, result);
exp_all_ones = m.mk_eq(exp_bv, m_bv_util.mk_numeral(-1, ebits));
m_extra_assertions.push_back(exp_all_ones);
expr_ref sig_bv(m), sig_is_non_zero(m);
sig_bv = m_bv_util.mk_extract(sbits-2, 0, result);
sig_is_non_zero = m.mk_not(m.mk_eq(sig_bv, m_bv_util.mk_numeral(0, sbits-1)));
m_extra_assertions.push_back(sig_is_non_zero);
m.inc_ref(f_bv);
}
result = m.mk_app(f_bv, n_bv);
expr_ref exp_bv(m), exp_all_ones(m);
exp_bv = m_bv_util.mk_extract(ebits+sbits-2, sbits-1, result);
exp_all_ones = m.mk_eq(exp_bv, m_bv_util.mk_numeral(-1, ebits));
m_extra_assertions.push_back(exp_all_ones);
expr_ref sig_bv(m), sig_is_non_zero(m);
sig_bv = m_bv_util.mk_extract(sbits-2, 0, result);
sig_is_non_zero = m.mk_not(m.mk_eq(sig_bv, m_bv_util.mk_numeral(0, sbits-1)));
m_extra_assertions.push_back(sig_is_non_zero);
}
TRACE("fpa2bv_to_ieee_bv_unspecified", tout << "result=" << mk_ismt2_pp(result, m) << std::endl;);
@ -3238,15 +3242,13 @@ void fpa2bv_converter::mk_to_bv(func_decl * f, unsigned num, expr * const * args
mk_is_nzero(x, x_is_nzero);
// NaN, Inf, or negative (except -0) -> unspecified
expr_ref c1(m), v1(m);
if (!is_signed) {
expr_ref c1(m), v1(m), unspec_v(m);
if (!is_signed)
c1 = m.mk_or(x_is_nan, x_is_inf, m.mk_and(x_is_neg, m.mk_not(x_is_nzero)));
v1 = mk_to_ubv_unspecified(ebits, sbits, bv_sz);
}
else {
else
c1 = m.mk_or(x_is_nan, x_is_inf);
v1 = mk_to_sbv_unspecified(ebits, sbits, bv_sz);
}
mk_to_bv_unspecified(f, num, args, unspec_v);
v1 = unspec_v;
dbg_decouple("fpa2bv_to_bv_c1", c1);
// +-Zero -> 0
@ -3355,11 +3357,8 @@ void fpa2bv_converter::mk_to_bv(func_decl * f, unsigned num, expr * const * args
dbg_decouple("fpa2bv_to_bv_rnd", rnd);
expr_ref unspec(m);
unspec = is_signed ? mk_to_sbv_unspecified(ebits, sbits, bv_sz) :
mk_to_ubv_unspecified(ebits, sbits, bv_sz);
result = m.mk_ite(rnd_has_overflown, unspec, rnd);
result = m.mk_ite(c_in_limits, result, unspec);
result = m.mk_ite(rnd_has_overflown, unspec_v, rnd);
result = m.mk_ite(c_in_limits, result, unspec_v);
result = m.mk_ite(c2, v2, result);
result = m.mk_ite(c1, v1, result);
@ -3378,85 +3377,54 @@ void fpa2bv_converter::mk_to_sbv(func_decl * f, unsigned num, expr * const * arg
mk_to_bv(f, num, args, true, result);
}
void fpa2bv_converter::mk_to_ubv_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 0);
unsigned width = m_bv_util.get_bv_size(f->get_range());
void fpa2bv_converter::mk_to_bv_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 2);
SASSERT(m_util.is_bv2rm(args[0]));
SASSERT(m_util.is_float(args[1]));
if (m_hi_fp_unspecified)
result = m_bv_util.mk_numeral(0, width);
result = m_bv_util.mk_numeral(0, m_bv_util.get_bv_size(f->get_range()));
else {
func_decl * fd;
if (!m_uf2bvuf.find(f, fd)) {
fd = m.mk_fresh_func_decl(0, 0, 0, f->get_range());
m_uf2bvuf.insert(f, fd);
expr * rm_bv = to_app(args[0])->get_arg(0);
expr * n = args[1];
expr_ref n_bv(m);
join_fp(n, n_bv);
func_decl * f_bv;
if (!m_uf2bvuf.find(f, f_bv)) {
sort * domain[2] = { m.get_sort(rm_bv), m.get_sort(n_bv) };
f_bv = m.mk_fresh_func_decl(0, 2, domain, f->get_range());
m_uf2bvuf.insert(f, f_bv);
m.inc_ref(f);
m.inc_ref(fd);
m.inc_ref(f_bv);
}
result = m.mk_const(fd);
result = m.mk_app(f_bv, rm_bv, n_bv);
}
TRACE("fpa2bv_to_ubv_unspecified", tout << "result=" << mk_ismt2_pp(result, m) << std::endl;);
TRACE("fpa2bv_to_bv_unspecified", tout << "result=" << mk_ismt2_pp(result, m) << std::endl;);
SASSERT(is_well_sorted(m, result));
}
expr_ref fpa2bv_converter::mk_to_ubv_unspecified(unsigned ebits, unsigned sbits, unsigned width) {
expr_ref res(m);
app_ref u(m);
u = m_util.mk_to_ubv_unspecified(ebits, sbits, width);
mk_to_sbv_unspecified(u->get_decl(), 0, 0, res);
return res;
}
void fpa2bv_converter::mk_to_sbv_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 0);
unsigned width = m_bv_util.get_bv_size(f->get_range());
if (m_hi_fp_unspecified)
result = m_bv_util.mk_numeral(0, width);
else {
func_decl * fd;
if (!m_uf2bvuf.find(f, fd)) {
fd = m.mk_fresh_func_decl(0, 0, 0, f->get_range());
m_uf2bvuf.insert(f, fd);
m.inc_ref(f);
m.inc_ref(fd);
}
result = m.mk_const(fd);
}
TRACE("fpa2bv_to_sbv_unspecified", tout << "result=" << mk_ismt2_pp(result, m) << std::endl;);
SASSERT(is_well_sorted(m, result));
}
expr_ref fpa2bv_converter::mk_to_sbv_unspecified(unsigned ebits, unsigned sbits, unsigned width) {
expr_ref res(m);
app_ref u(m);
u = m_util.mk_to_sbv_unspecified(ebits, sbits, width);
mk_to_sbv_unspecified(u->get_decl(), 0, 0, res);
return res;
}
void fpa2bv_converter::mk_to_real_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 1);
if (m_hi_fp_unspecified)
result = m_arith_util.mk_numeral(rational(0), false);
else {
func_decl * fd;
if (!m_uf2bvuf.find(f, fd)) {
fd = m.mk_fresh_func_decl(0, 0, 0, f->get_range());
m_uf2bvuf.insert(f, fd);
m.inc_ref(f);
m.inc_ref(fd);
}
result = m.mk_const(fd);
}
}
expr * n = args[0];
expr_ref n_bv(m);
join_fp(n, n_bv);
expr_ref fpa2bv_converter::mk_to_real_unspecified(unsigned ebits, unsigned sbits) {
expr_ref res(m);
app_ref u(m);
u = m_util.mk_to_real_unspecified(ebits, sbits);
mk_to_real_unspecified(u->get_decl(), 0, 0, res);
return res;
func_decl * f_bv;
if (!m_uf2bvuf.find(f, f_bv)) {
sort * domain[2] = { m.get_sort(n_bv) };
f_bv = m.mk_fresh_func_decl(0, 1, domain, f->get_range());
m_uf2bvuf.insert(f, f_bv);
m.inc_ref(f);
m.inc_ref(f_bv);
}
result = m.mk_app(f_bv, n_bv);
}
}
void fpa2bv_converter::mk_fp(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
@ -3467,6 +3435,7 @@ void fpa2bv_converter::mk_fp(func_decl * f, unsigned num, expr * const * args, e
result = m_util.mk_fp(args[0], args[1], args[2]);
TRACE("fpa2bv_mk_fp", tout << "mk_fp result = " << mk_ismt2_pp(result, m) << std::endl;);
}
void fpa2bv_converter::split_fp(expr * e, expr * & sgn, expr * & exp, expr * & sig) const {
SASSERT(m_util.is_fp(e));
SASSERT(to_app(e)->get_num_args() == 3);
@ -3485,6 +3454,14 @@ void fpa2bv_converter::split_fp(expr * e, expr_ref & sgn, expr_ref & exp, expr_r
sig = e_sig;
}
void fpa2bv_converter::join_fp(expr * e, expr_ref & res) {
SASSERT(m_util.is_fp(e));
SASSERT(to_app(e)->get_num_args() == 3);
expr *sgn, *exp, *sig;
split_fp(e, sgn, exp, sig);
res = m_bv_util.mk_concat(m_bv_util.mk_concat(sgn, exp), sig);
}
void fpa2bv_converter::mk_is_nan(expr * e, expr_ref & result) {
expr * sgn, * sig, * exp;
split_fp(e, sgn, exp, sig);
@ -4051,7 +4028,7 @@ void fpa2bv_converter::round(sort * s, expr_ref & rm, expr_ref & sgn, expr_ref &
// put the sticky bit into the significand.
expr_ref ext_sticky(m);
ext_sticky = m_bv_util.mk_zero_extend(sbits+1, sticky);
expr * tmp[] = { sig, ext_sticky };
expr * tmp[2] = { sig, ext_sticky };
sig = m_bv_util.mk_bv_or(2, tmp);
SASSERT(is_well_sorted(m, sig));
SASSERT(m_bv_util.get_bv_size(sig) == sbits+2);