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Added support for the final draft of the FPA standard (and fpa2bv conversion).

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Signed-off-by: Christoph M. Wintersteiger <cwinter@microsoft.com>
This commit is contained in:
Christoph M. Wintersteiger 2014-01-24 15:36:23 +00:00
parent b2be81fd4d
commit 0e74362ecb
12 changed files with 290 additions and 14 deletions
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96
src/ast/float_decl_plugin.cpp
View file

@ -213,6 +213,9 @@ func_decl * float_decl_plugin::mk_float_const_decl(decl_kind k, unsigned num_par
if (num_parameters == 1 && parameters[0].is_ast() && is_sort(parameters[0].get_ast()) && is_float_sort(to_sort(parameters[0].get_ast()))) {
s = to_sort(parameters[0].get_ast());
}
else if (num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()) {
s = mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
}
else if (range != 0 && is_float_sort(range)) {
s = range;
}
@ -376,7 +379,19 @@ func_decl * float_decl_plugin::mk_to_float(decl_kind k, unsigned num_parameters,
sort * fp = mk_float_sort(domain[2]->get_parameter(0).get_int(), domain[1]->get_parameter(0).get_int()+1);
symbol name("asFloat");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
}
else if (m_bv_plugin && arity == 1 && is_sort_of(domain[0], m_bv_fid, BV_SORT)) {
if (num_parameters != 2)
m_manager->raise_exception("invalid number of parameters to to_fp");
if (!parameters[0].is_int() || !parameters[1].is_int())
m_manager->raise_exception("invalid parameter type to to_fp");
int ebits = parameters[0].get_int();
int sbits = parameters[1].get_int();
sort * fp = mk_float_sort(ebits, sbits);
symbol name("asFloat");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else {
// .. Otherwise we only know how to convert rationals/reals.
if (!(num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()))
@ -412,6 +427,53 @@ func_decl * float_decl_plugin::mk_to_ieee_bv(decl_kind k, unsigned num_parameter
return m_manager->mk_func_decl(name, 1, domain, bv_srt, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * float_decl_plugin::mk_from3bv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (!m_bv_plugin)
m_manager->raise_exception("fp unsupported; use a logic with BV support");
if (arity != 3)
m_manager->raise_exception("invalid number of arguments to fp");
if (!is_sort_of(domain[0], m_bv_fid, BV_SORT) ||
!is_sort_of(domain[1], m_bv_fid, BV_SORT) ||
!is_sort_of(domain[2], m_bv_fid, BV_SORT))
m_manager->raise_exception("sort mismtach");
sort * fp = mk_float_sort(domain[1]->get_parameter(0).get_int(), domain[2]->get_parameter(0).get_int() + 1);
symbol name("fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k));
}
func_decl * float_decl_plugin::mk_to_fp_unsigned(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (!m_bv_plugin)
m_manager->raise_exception("to_fp_unsigned unsupported; use a logic with BV support");
if (arity != 2)
m_manager->raise_exception("invalid number of arguments to to_fp_unsigned");
if (is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismtach");
if (!is_sort_of(domain[1], m_bv_fid, BV_SORT))
m_manager->raise_exception("sort mismtach");
sort * fp = mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
symbol name("to_fp_unsigned");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k));
}
func_decl * float_decl_plugin::mk_to_ubv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
NOT_IMPLEMENTED_YET();
}
func_decl * float_decl_plugin::mk_to_sbv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
NOT_IMPLEMENTED_YET();
}
func_decl * float_decl_plugin::mk_to_real(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
NOT_IMPLEMENTED_YET();
}
func_decl * float_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
switch (k) {
@ -465,6 +527,16 @@ func_decl * float_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters
return mk_fused_ma(k, num_parameters, parameters, arity, domain, range);
case OP_TO_IEEE_BV:
return mk_to_ieee_bv(k, num_parameters, parameters, arity, domain, range);
case OP_FLOAT_FP:
return mk_from3bv(k, num_parameters, parameters, arity, domain, range);
case OP_FLOAT_TO_FP_UNSIGNED:
return mk_to_fp_unsigned(k, num_parameters, parameters, arity, domain, range);
case OP_FLOAT_TO_UBV:
return mk_to_ubv(k, num_parameters, parameters, arity, domain, range);
case OP_FLOAT_TO_SBV:
return mk_to_sbv(k, num_parameters, parameters, arity, domain, range);
case OP_FLOAT_TO_REAL:
return mk_to_real(k, num_parameters, parameters, arity, domain, range);
default:
m_manager->raise_exception("unsupported floating point operator");
return 0;
@ -517,8 +589,9 @@ void float_decl_plugin::get_op_names(svector<builtin_name> & op_names, symbol co
if (m_bv_plugin)
op_names.push_back(builtin_name("asIEEEBV", OP_TO_IEEE_BV));
// We also support draft version 3
op_names.push_back(builtin_name("fp", OP_TO_FLOAT));
// These are the operators from the final draft of the SMT FloatingPoints standard
op_names.push_back(builtin_name("+oo", OP_FLOAT_PLUS_INF));
op_names.push_back(builtin_name("-oo", OP_FLOAT_MINUS_INF));
op_names.push_back(builtin_name("RNE", OP_RM_NEAREST_TIES_TO_EVEN));
op_names.push_back(builtin_name("RNA", OP_RM_NEAREST_TIES_TO_AWAY));
@ -547,23 +620,24 @@ void float_decl_plugin::get_op_names(svector<builtin_name> & op_names, symbol co
op_names.push_back(builtin_name("fp.isNaN", OP_FLOAT_IS_NAN));
op_names.push_back(builtin_name("fp.min", OP_FLOAT_MIN));
op_names.push_back(builtin_name("fp.max", OP_FLOAT_MAX));
op_names.push_back(builtin_name("fp.convert", OP_TO_FLOAT));
op_names.push_back(builtin_name("to_fp", OP_TO_FLOAT));
if (m_bv_plugin) {
// op_names.push_back(builtin_name("fp.fromBv", OP_TO_FLOAT));
// op_names.push_back(builtin_name("fp.fromUBv", OP_TO_FLOAT));
// op_names.push_back(builtin_name("fp.fromSBv", OP_TO_FLOAT));
// op_names.push_back(builtin_name("fp.toUBv", OP_TO_IEEE_BV));
// op_names.push_back(builtin_name("fp.toSBv", OP_TO_IEEE_BV));
op_names.push_back(builtin_name("fp", OP_FLOAT_FP));
op_names.push_back(builtin_name("to_fp_unsigned", OP_FLOAT_TO_FP_UNSIGNED));
op_names.push_back(builtin_name("fp.to_ubv", OP_FLOAT_TO_UBV));
op_names.push_back(builtin_name("fp.to_sbv", OP_FLOAT_TO_SBV));
}
op_names.push_back(builtin_name("fp.fromReal", OP_TO_FLOAT));
// op_names.push_back(builtin_name("fp.toReal", ?));
}
void float_decl_plugin::get_sort_names(svector<builtin_name> & sort_names, symbol const & logic) {
sort_names.push_back(builtin_name("FP", FLOAT_SORT));
sort_names.push_back(builtin_name("RoundingMode", ROUNDING_MODE_SORT));
// In the SMT FPA final draft, FP is called FloatingPoint
sort_names.push_back(builtin_name("FloatingPoint", FLOAT_SORT));
}
expr * float_decl_plugin::get_some_value(sort * s) {

18
src/ast/float_decl_plugin.h
View file

@ -72,6 +72,12 @@ enum float_op_kind {
OP_TO_FLOAT,
OP_TO_IEEE_BV,
OP_FLOAT_FP,
OP_FLOAT_TO_FP_UNSIGNED,
OP_FLOAT_TO_UBV,
OP_FLOAT_TO_SBV,
OP_FLOAT_TO_REAL,
LAST_FLOAT_OP
};
@ -125,7 +131,17 @@ class float_decl_plugin : public decl_plugin {
unsigned arity, sort * const * domain, sort * range);
func_decl * mk_to_ieee_bv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range);
func_decl * mk_from3bv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range);
func_decl * mk_to_fp_unsigned(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range);
func_decl * mk_to_ubv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range);
func_decl * mk_to_sbv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range);
func_decl * mk_to_real(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range);
virtual void set_manager(ast_manager * m, family_id id);
unsigned mk_id(mpf const & v);
void recycled_id(unsigned id);

44
src/ast/rewriter/float_rewriter.cpp
View file

@ -64,6 +64,11 @@ br_status float_rewriter::mk_app_core(func_decl * f, unsigned num_args, expr * c
case OP_FLOAT_IS_SUBNORMAL: SASSERT(num_args == 1); st = mk_is_subnormal(args[0], result); break;
case OP_FLOAT_IS_SIGN_MINUS: SASSERT(num_args == 1); st = mk_is_sign_minus(args[0], result); break;
case OP_TO_IEEE_BV: SASSERT(num_args == 1); st = mk_to_ieee_bv(args[0], result); break;
case OP_FLOAT_FP: SASSERT(num_args == 3); st = mk_fp(args[0], args[1], args[2], result); break;
case OP_FLOAT_TO_FP_UNSIGNED: SASSERT(num_args == 2); st = mk_to_fp_unsigned(args[0], args[1], result); break;
case OP_FLOAT_TO_UBV: SASSERT(num_args == 2); st = mk_to_ubv(args[0], args[1], result); break;
case OP_FLOAT_TO_SBV: SASSERT(num_args == 2); st = mk_to_sbv(args[0], args[1], result); break;
case OP_FLOAT_TO_REAL: SASSERT(num_args == 1); st = mk_to_real(args[0], result); break;
}
return st;
}
@ -504,3 +509,42 @@ br_status float_rewriter::mk_eq_core(expr * arg1, expr * arg2, expr_ref & result
br_status float_rewriter::mk_to_ieee_bv(expr * arg1, expr_ref & result) {
return BR_FAILED;
}
br_status float_rewriter::mk_fp(expr * arg1, expr * arg2, expr * arg3, expr_ref & result) {
bv_util bu(m());
rational r1, r2, r3;
unsigned bvs1, bvs2, bvs3;
if (bu.is_numeral(arg1, r1, bvs1) && bu.is_numeral(arg2, r2, bvs2) && bu.is_numeral(arg3, r3, bvs3)) {
SASSERT(m_util.fm().mpz_manager().is_one(r2.to_mpq().denominator()));
SASSERT(m_util.fm().mpz_manager().is_one(r3.to_mpq().denominator()));
SASSERT(m_util.fm().mpz_manager().is_int64(r3.to_mpq().numerator()));
scoped_mpf v(m_util.fm());
mpf_exp_t biased_exp = m_util.fm().mpz_manager().get_int64(r2.to_mpq().numerator());
m_util.fm().set(v, bvs2, bvs3 + 1,
r1.is_one(),
r3.to_mpq().numerator(),
m_util.fm().unbias_exp(bvs2, biased_exp));
TRACE("fp_rewriter", tout << "v = " << m_util.fm().to_string(v) << std::endl;);
result = m_util.mk_value(v);
return BR_DONE;
}
return BR_FAILED;
}
br_status float_rewriter::mk_to_fp_unsigned(expr * arg1, expr * arg2, expr_ref & result) {
return BR_FAILED;
}
br_status float_rewriter::mk_to_ubv(expr * arg1, expr * arg2, expr_ref & result) {
return BR_FAILED;
}
br_status float_rewriter::mk_to_sbv(expr * arg1, expr * arg2, expr_ref & result) {
return BR_FAILED;
}
br_status float_rewriter::mk_to_real(expr * arg1, expr_ref & result) {
return BR_FAILED;
}

6
src/ast/rewriter/float_rewriter.h
View file

@ -73,6 +73,12 @@ public:
br_status mk_is_sign_minus(expr * arg1, expr_ref & result);
br_status mk_to_ieee_bv(expr * arg1, expr_ref & result);
br_status mk_fp(expr * arg1, expr * arg2, expr * arg3, expr_ref & result);
br_status mk_to_fp_unsigned(expr * arg1, expr * arg2, expr_ref & result);
br_status mk_to_ubv(expr * arg1, expr * arg2, expr_ref & result);
br_status mk_to_sbv(expr * arg1, expr * arg2, expr_ref & result);
br_status mk_to_real(expr * arg1, expr_ref & result);
};
#endif

36
src/tactic/fpa/fpa2bv_converter.cpp
View file

@ -1836,6 +1836,21 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
// Just keep it here, as there will be something else that uses it.
mk_triple(args[0], args[1], args[2], result);
}
else if (num == 1 && m_bv_util.is_bv(args[0])) {
sort * s = f->get_range();
unsigned to_sbits = m_util.get_sbits(s);
unsigned to_ebits = m_util.get_ebits(s);
expr * bv = args[0];
int sz = m_bv_util.get_bv_size(bv);
SASSERT((unsigned)sz == to_sbits + to_ebits);
m_bv_util.mk_extract(sz - 1, sz - 1, bv);
mk_triple(m_bv_util.mk_extract(sz - 1, sz - 1, bv),
m_bv_util.mk_extract(sz - to_ebits - 2, 0, bv),
m_bv_util.mk_extract(sz - 2, sz - to_ebits - 1, bv),
result);
}
else if (num == 2 && is_app(args[1]) && m_util.is_float(m.get_sort(args[1]))) {
// We also support float to float conversion
sort * s = f->get_range();
@ -2043,6 +2058,27 @@ void fpa2bv_converter::mk_to_ieee_bv(func_decl * f, unsigned num, expr * const *
result = m_bv_util.mk_concat(m_bv_util.mk_concat(sgn, e), s);
}
void fpa2bv_converter::mk_fp(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 3);
mk_triple(args[0], args[2], args[1], result);
}
void fpa2bv_converter::mk_to_fp_unsigned(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
NOT_IMPLEMENTED_YET();
}
void fpa2bv_converter::mk_to_ubv(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
NOT_IMPLEMENTED_YET();
}
void fpa2bv_converter::mk_to_sbv(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
NOT_IMPLEMENTED_YET();
}
void fpa2bv_converter::mk_to_real(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
NOT_IMPLEMENTED_YET();
}
void fpa2bv_converter::split(expr * e, expr * & sgn, expr * & sig, expr * & exp) const {
SASSERT(is_app_of(e, m_plugin->get_family_id(), OP_TO_FLOAT));
SASSERT(to_app(e)->get_num_args() == 3);

8
src/tactic/fpa/fpa2bv_converter.h
View file

@ -122,7 +122,13 @@ public:
void mk_is_subnormal(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_float(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_ieee_bv(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_ieee_bv(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_fp(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_fp_unsigned(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_ubv(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_sbv(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
void mk_to_real(func_decl * f, unsigned num, expr * const * args, expr_ref & result);
obj_map<func_decl, expr*> const & const2bv() const { return m_const2bv; }
obj_map<func_decl, expr*> const & rm_const2bv() const { return m_rm_const2bv; }

5
src/tactic/fpa/fpa2bv_rewriter.h
View file

@ -139,6 +139,11 @@ struct fpa2bv_rewriter_cfg : public default_rewriter_cfg {
case OP_FLOAT_IS_SIGN_MINUS: m_conv.mk_is_sign_minus(f, num, args, result); return BR_DONE;
case OP_TO_FLOAT: m_conv.mk_to_float(f, num, args, result); return BR_DONE;
case OP_TO_IEEE_BV: m_conv.mk_to_ieee_bv(f, num, args, result); return BR_DONE;
case OP_FLOAT_FP: m_conv.mk_fp(f, num, args, result); return BR_DONE;
case OP_FLOAT_TO_FP_UNSIGNED: m_conv.mk_to_fp_unsigned(f, num, args, result); return BR_DONE;
case OP_FLOAT_TO_UBV: m_conv.mk_to_ubv(f, num, args, result); return BR_DONE;
case OP_FLOAT_TO_SBV: m_conv.mk_to_sbv(f, num, args, result); return BR_DONE;
case OP_FLOAT_TO_REAL: m_conv.mk_to_real(f, num, args, result); return BR_DONE;
default:
TRACE("fpa2bv", tout << "unsupported operator: " << f->get_name() << "\n";
for (unsigned i = 0; i < num; i++) tout << mk_ismt2_pp(args[i], m()) << std::endl;);

74
src/tactic/fpa/qffpa_tactic.cpp
View file

@ -36,3 +36,77 @@ tactic * mk_qffpa_tactic(ast_manager & m, params_ref const & p) {
mk_sat_tactic(m, p),
mk_fail_if_undecided_tactic());
}
struct is_non_qffpa_predicate {
struct found {};
ast_manager & m;
float_util u;
is_non_qffpa_predicate(ast_manager & _m) :m(_m), u(m) {}
void operator()(var *) { throw found(); }
void operator()(quantifier *) { throw found(); }
void operator()(app * n) {
sort * s = get_sort(n);
if (!m.is_bool(s) && !(u.is_float(s) || u.is_rm(s)))
throw found();
family_id fid = s->get_family_id();
if (fid == m.get_basic_family_id())
return;
if (fid == u.get_family_id())
return;
throw found();
}
};
struct is_non_qffpabv_predicate {
struct found {};
ast_manager & m;
bv_util bu;
float_util fu;
is_non_qffpabv_predicate(ast_manager & _m) :m(_m), bu(m), fu(m) {}
void operator()(var *) { throw found(); }
void operator()(quantifier *) { throw found(); }
void operator()(app * n) {
sort * s = get_sort(n);
if (!m.is_bool(s) && !(fu.is_float(s) || fu.is_rm(s) || bu.is_bv_sort(s)))
throw found();
family_id fid = s->get_family_id();
if (fid == m.get_basic_family_id())
return;
if (fid == fu.get_family_id() || fid == bu.get_family_id())
return;
throw found();
}
};
class is_qffpa_probe : public probe {
public:
virtual result operator()(goal const & g) {
return !test<is_non_qffpa_predicate>(g);
}
};
class is_qffpabv_probe : public probe {
public:
virtual result operator()(goal const & g) {
return !test<is_non_qffpabv_predicate>(g);
}
};
probe * mk_is_qffpa_probe() {
return alloc(is_qffpa_probe);
}
probe * mk_is_qffpabv_probe() {
return alloc(is_qffpabv_probe);
}

7
src/tactic/fpa/qffpa_tactic.h
View file

@ -30,4 +30,11 @@ tactic * mk_qffpa_tactic(ast_manager & m, params_ref const & p = params_ref());
ADD_TACTIC("qffpabv", "(try to) solve goal using the tactic for QF_FPABV (floats+bit-vectors).", "mk_qffpa_tactic(m, p)")
*/
probe * mk_is_qffpa_probe();
probe * mk_is_qffpabv_probe();
/*
ADD_PROBE("is-qffpa", "true if the goal is in QF_FPA (FloatingPoints).", "mk_is_qffpa_probe()")
ADD_PROBE("is-qffpabv", "true if the goal is in QF_FPABV (FloatingPoints+Bitvectors).", "mk_is_qffpabv_probe()")
*/
#endif

4
src/tactic/portfolio/default_tactic.cpp
View file

@ -27,6 +27,7 @@ Notes:
#include"nra_tactic.h"
#include"probe_arith.h"
#include"quant_tactics.h"
#include"qffpa_tactic.h"
tactic * mk_default_tactic(ast_manager & m, params_ref const & p) {
tactic * st = using_params(and_then(mk_simplify_tactic(m),
@ -37,7 +38,8 @@ tactic * mk_default_tactic(ast_manager & m, params_ref const & p) {
cond(mk_is_qfnia_probe(), mk_qfnia_tactic(m),
cond(mk_is_nra_probe(), mk_nra_tactic(m),
cond(mk_is_lira_probe(), mk_lira_tactic(m, p),
mk_smt_tactic())))))))),
cond(mk_is_qffpabv_probe(), mk_qffpa_tactic(m, p),
mk_smt_tactic()))))))))),
p);
return st;
}

4
src/util/mpf.cpp
View file

@ -1400,6 +1400,10 @@ mpf_exp_t mpf_manager::mk_max_exp(unsigned ebits) {
return m_mpz_manager.get_int64(m_powers2.m1(ebits-1, false));
}
mpf_exp_t mpf_manager::unbias_exp(unsigned ebits, mpf_exp_t biased_exponent) {
return biased_exponent - m_mpz_manager.get_int64(m_powers2.m1(ebits - 1, false));
}
void mpf_manager::mk_nzero(unsigned ebits, unsigned sbits, mpf & o) {
o.sbits = sbits;
o.ebits = ebits;

2
src/util/mpf.h
View file

@ -182,6 +182,8 @@ public:
mpf_exp_t mk_max_exp(unsigned ebits);
mpf_exp_t mk_min_exp(unsigned ebits);
mpf_exp_t unbias_exp(unsigned ebits, mpf_exp_t biased_exponent);
/**
\brief Return the biggest k s.t. 2^k <= a.