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z3/src/ast/fpa_decl_plugin.cpp
Christoph M. Wintersteiger 8a026c355f Corrected unspecified behavior of corner cases in fp.min/fp.max. 
Partially addresses #68.
2015-10-07 20:39:36 +01:00

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/*++
Copyright (c) 2012 Microsoft Corporation
Module Name:
fpa_decl_plugin.cpp
Abstract:
Floating point decl plugin
Author:
Leonardo de Moura (leonardo) 2012-01-15.
Revision History:
--*/
#include"fpa_decl_plugin.h"
#include"arith_decl_plugin.h"
#include"bv_decl_plugin.h"
fpa_decl_plugin::fpa_decl_plugin():
m_values(m_fm),
m_value_table(mpf_hash_proc(m_values), mpf_eq_proc(m_values)) {
m_real_sort = 0;
m_int_sort = 0;
m_bv_plugin = 0;
}
void fpa_decl_plugin::set_manager(ast_manager * m, family_id id) {
decl_plugin::set_manager(m, id);
m_arith_fid = m_manager->mk_family_id("arith");
m_real_sort = m_manager->mk_sort(m_arith_fid, REAL_SORT);
SASSERT(m_real_sort != 0); // arith_decl_plugin must be installed before fpa_decl_plugin.
m_manager->inc_ref(m_real_sort);
m_int_sort = m_manager->mk_sort(m_arith_fid, INT_SORT);
SASSERT(m_int_sort != 0); // arith_decl_plugin must be installed before fpa_decl_plugin.
m_manager->inc_ref(m_int_sort);
// BV is not optional anymore.
SASSERT(m_manager->has_plugin(symbol("bv")));
m_bv_fid = m_manager->mk_family_id("bv");
m_bv_plugin = static_cast<bv_decl_plugin*>(m_manager->get_plugin(m_bv_fid));
}
fpa_decl_plugin::~fpa_decl_plugin() {
}
unsigned fpa_decl_plugin::mk_id(mpf const & v) {
unsigned new_id = m_id_gen.mk();
m_values.reserve(new_id+1);
m_fm.set(m_values[new_id], v);
unsigned old_id = m_value_table.insert_if_not_there(new_id);
if (old_id != new_id) {
m_id_gen.recycle(new_id);
m_fm.del(m_values[new_id]);
}
return old_id;
}
void fpa_decl_plugin::recycled_id(unsigned id) {
SASSERT(m_value_table.contains(id));
m_value_table.erase(id);
m_id_gen.recycle(id);
m_fm.del(m_values[id]);
}
func_decl * fpa_decl_plugin::mk_numeral_decl(mpf const & v) {
parameter p(mk_id(v), true);
SASSERT(p.is_external());
sort * s = mk_float_sort(v.get_ebits(), v.get_sbits());
return m_manager->mk_const_decl(symbol("fp.numeral"), s, func_decl_info(m_family_id, OP_FPA_NUM, 1, &p));
}
app * fpa_decl_plugin::mk_numeral(mpf const & v) {
sort * s = mk_float_sort(v.get_ebits(), v.get_sbits());
func_decl * d;
if (m_fm.is_nan(v))
d = m_manager->mk_const_decl(symbol("NaN"), s, func_decl_info(m_family_id, OP_FPA_NAN));
else if (m_fm.is_pinf(v))
d = m_manager->mk_const_decl(symbol("+oo"), s, func_decl_info(m_family_id, OP_FPA_PLUS_INF));
else if (m_fm.is_ninf(v))
d = m_manager->mk_const_decl(symbol("-oo"), s, func_decl_info(m_family_id, OP_FPA_MINUS_INF));
else if (m_fm.is_pzero(v))
d = m_manager->mk_const_decl(symbol("+zero"), s, func_decl_info(m_family_id, OP_FPA_PLUS_ZERO));
else if (m_fm.is_nzero(v))
d = m_manager->mk_const_decl(symbol("-zero"), s, func_decl_info(m_family_id, OP_FPA_MINUS_ZERO));
else
d = mk_numeral_decl(v);
return m_manager->mk_const(d);
}
bool fpa_decl_plugin::is_numeral(expr * n, mpf & val) {
if (is_app_of(n, m_family_id, OP_FPA_NUM)) {
m_fm.set(val, m_values[to_app(n)->get_decl()->get_parameter(0).get_ext_id()]);
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_MINUS_INF)) {
unsigned ebits = to_app(n)->get_decl()->get_range()->get_parameter(0).get_int();
unsigned sbits = to_app(n)->get_decl()->get_range()->get_parameter(1).get_int();
m_fm.mk_ninf(ebits, sbits, val);
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_PLUS_INF)) {
unsigned ebits = to_app(n)->get_decl()->get_range()->get_parameter(0).get_int();
unsigned sbits = to_app(n)->get_decl()->get_range()->get_parameter(1).get_int();
m_fm.mk_pinf(ebits, sbits, val);
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_NAN)) {
unsigned ebits = to_app(n)->get_decl()->get_range()->get_parameter(0).get_int();
unsigned sbits = to_app(n)->get_decl()->get_range()->get_parameter(1).get_int();
m_fm.mk_nan(ebits, sbits, val);
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_PLUS_ZERO)) {
unsigned ebits = to_app(n)->get_decl()->get_range()->get_parameter(0).get_int();
unsigned sbits = to_app(n)->get_decl()->get_range()->get_parameter(1).get_int();
m_fm.mk_pzero(ebits, sbits, val);
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_MINUS_ZERO)) {
unsigned ebits = to_app(n)->get_decl()->get_range()->get_parameter(0).get_int();
unsigned sbits = to_app(n)->get_decl()->get_range()->get_parameter(1).get_int();
m_fm.mk_nzero(ebits, sbits, val);
return true;
}
return false;
}
bool fpa_decl_plugin::is_numeral(expr * n) {
scoped_mpf v(m_fm);
return is_numeral(n, v);
}
bool fpa_decl_plugin::is_rm_numeral(expr * n, mpf_rounding_mode & val) {
if (is_app_of(n, m_family_id, OP_FPA_RM_NEAREST_TIES_TO_AWAY)) {
val = MPF_ROUND_NEAREST_TAWAY;
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_RM_NEAREST_TIES_TO_EVEN)) {
val = MPF_ROUND_NEAREST_TEVEN;
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_RM_TOWARD_NEGATIVE)) {
val = MPF_ROUND_TOWARD_NEGATIVE;
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_RM_TOWARD_POSITIVE)) {
val = MPF_ROUND_TOWARD_POSITIVE;
return true;
}
else if (is_app_of(n, m_family_id, OP_FPA_RM_TOWARD_ZERO)) {
val = MPF_ROUND_TOWARD_ZERO;
return true;
}
return 0;
}
bool fpa_decl_plugin::is_rm_numeral(expr * n) {
mpf_rounding_mode t;
return is_rm_numeral(n, t);
}
void fpa_decl_plugin::del(parameter const & p) {
SASSERT(p.is_external());
recycled_id(p.get_ext_id());
}
parameter fpa_decl_plugin::translate(parameter const & p, decl_plugin & target) {
SASSERT(p.is_external());
fpa_decl_plugin & _target = static_cast<fpa_decl_plugin&>(target);
return parameter(_target.mk_id(m_values[p.get_ext_id()]), true);
}
void fpa_decl_plugin::finalize() {
if (m_real_sort) { m_manager->dec_ref(m_real_sort); }
if (m_int_sort) { m_manager->dec_ref(m_int_sort); }
}
decl_plugin * fpa_decl_plugin::mk_fresh() {
return alloc(fpa_decl_plugin);
}
sort * fpa_decl_plugin::mk_float_sort(unsigned ebits, unsigned sbits) {
if (sbits < 2)
m_manager->raise_exception("minimum number of significand bits is 1");
if (ebits < 2)
m_manager->raise_exception("minimum number of exponent bits is 2");
parameter p1(ebits), p2(sbits);
parameter ps[2] = { p1, p2 };
sort_size sz;
sz = sort_size::mk_very_big(); // TODO: refine
return m_manager->mk_sort(symbol("FloatingPoint"), sort_info(m_family_id, FLOATING_POINT_SORT, sz, 2, ps));
}
sort * fpa_decl_plugin::mk_rm_sort() {
return m_manager->mk_sort(symbol("RoundingMode"), sort_info(m_family_id, ROUNDING_MODE_SORT));
}
sort * fpa_decl_plugin::mk_sort(decl_kind k, unsigned num_parameters, parameter const * parameters) {
switch (k) {
case FLOATING_POINT_SORT:
if (!(num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()))
m_manager->raise_exception("expecting two integer parameters to floating point sort (ebits, sbits)");
return mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
case ROUNDING_MODE_SORT:
return mk_rm_sort();
case FLOAT16_SORT:
return mk_float_sort(5, 11);
case FLOAT32_SORT:
return mk_float_sort(8, 24);
case FLOAT64_SORT:
return mk_float_sort(11, 53);
case FLOAT128_SORT:
return mk_float_sort(15, 113);
default:
m_manager->raise_exception("unknown floating point theory sort");
return 0;
}
}
func_decl * fpa_decl_plugin::mk_rm_const_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (num_parameters != 0)
m_manager->raise_exception("rounding mode constant does not have parameters");
if (arity != 0)
m_manager->raise_exception("rounding mode is a constant");
sort * s = mk_rm_sort();
func_decl_info finfo(m_family_id, k);
switch (k) {
case OP_FPA_RM_NEAREST_TIES_TO_EVEN:
return m_manager->mk_const_decl(symbol("roundNearestTiesToEven"), s, finfo);
case OP_FPA_RM_NEAREST_TIES_TO_AWAY:
return m_manager->mk_const_decl(symbol("roundNearestTiesToAway"), s, finfo);
case OP_FPA_RM_TOWARD_POSITIVE:
return m_manager->mk_const_decl(symbol("roundTowardPositive"), s, finfo);
case OP_FPA_RM_TOWARD_NEGATIVE:
return m_manager->mk_const_decl(symbol("roundTowardNegative"), s, finfo);
case OP_FPA_RM_TOWARD_ZERO:
return m_manager->mk_const_decl(symbol("roundTowardZero"), s, finfo);
default:
UNREACHABLE();
return 0;
}
}
func_decl * fpa_decl_plugin::mk_float_const_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
sort * s = 0;
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;
}
else {
m_manager->raise_exception("sort of floating point constant was not specified");
UNREACHABLE();
}
SASSERT(is_sort_of(s, m_family_id, FLOATING_POINT_SORT));
unsigned ebits = s->get_parameter(0).get_int();
unsigned sbits = s->get_parameter(1).get_int();
scoped_mpf val(m_fm);
switch (k)
{
case OP_FPA_NAN: m_fm.mk_nan(ebits, sbits, val);
SASSERT(m_fm.is_nan(val));
break;
case OP_FPA_MINUS_INF: m_fm.mk_ninf(ebits, sbits, val); break;
case OP_FPA_PLUS_INF: m_fm.mk_pinf(ebits, sbits, val); break;
case OP_FPA_MINUS_ZERO: m_fm.mk_nzero(ebits, sbits, val); break;
case OP_FPA_PLUS_ZERO: m_fm.mk_pzero(ebits, sbits, val); break;
}
return mk_numeral_decl(val);
}
func_decl * fpa_decl_plugin::mk_bin_rel_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity < 2)
m_manager->raise_exception("invalid number of arguments to floating point relation");
if (domain[0] != domain[1] || !is_float_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected equal FloatingPoint sorts as arguments");
symbol name;
switch (k) {
case OP_FPA_EQ: name = "fp.eq"; break;
case OP_FPA_LT: name = "fp.lt"; break;
case OP_FPA_GT: name = "fp.gt"; break;
case OP_FPA_LE: name = "fp.leq"; break;
case OP_FPA_GE: name = "fp.geq"; break;
default:
UNREACHABLE();
break;
}
func_decl_info finfo(m_family_id, k);
finfo.set_chainable(true);
return m_manager->mk_func_decl(name, domain[0], domain[1], m_manager->mk_bool_sort(), finfo);
}
func_decl * fpa_decl_plugin::mk_unary_rel_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 1)
m_manager->raise_exception("invalid number of arguments to floating point relation");
if (!is_float_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected argument of FloatingPoint sort");
symbol name;
switch (k) {
case OP_FPA_IS_ZERO: name = "fp.isZero"; break;
case OP_FPA_IS_NEGATIVE: name = "fp.isNegative"; break;
case OP_FPA_IS_POSITIVE: name = "fp.isPositive"; break;
case OP_FPA_IS_NAN: name = "fp.isNaN"; break;
case OP_FPA_IS_INF: name = "fp.isInfinite"; break;
case OP_FPA_IS_NORMAL: name = "fp.isNormal"; break;
case OP_FPA_IS_SUBNORMAL: name = "fp.isSubnormal"; break;
default:
UNREACHABLE();
break;
}
return m_manager->mk_func_decl(name, arity, domain, m_manager->mk_bool_sort(), func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_unary_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 1)
m_manager->raise_exception("invalid number of arguments to floating point operator");
if (!is_float_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected argument of FloatingPoint sort");
symbol name;
switch (k) {
case OP_FPA_ABS: name = "fp.abs"; break;
case OP_FPA_NEG: name = "fp.neg"; break;
default:
UNREACHABLE();
break;
}
return m_manager->mk_func_decl(name, arity, domain, domain[0], func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_binary_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 2)
m_manager->raise_exception("invalid number of arguments to floating point operator");
if (domain[0] != domain[1] || !is_float_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected arguments of equal FloatingPoint sorts");
symbol name;
switch (k) {
case OP_FPA_REM: name = "fp.rem"; break;
case OP_FPA_MIN: name = "fp.min"; break;
case OP_FPA_MAX: name = "fp.max"; break;
default:
UNREACHABLE();
break;
}
return m_manager->mk_func_decl(name, arity, domain, domain[0], func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_rm_binary_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 3)
m_manager->raise_exception("invalid number of arguments to floating point operator");
if (!is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected first argument of RoundingMode sort");
if (domain[1] != domain[2] || !is_float_sort(domain[1]))
m_manager->raise_exception("sort mismatch, expected arguments 1 and 2 of equal FloatingPoint sorts");
symbol name;
switch (k) {
case OP_FPA_ADD: name = "fp.add"; break;
case OP_FPA_SUB: name = "fp.sub"; break;
case OP_FPA_MUL: name = "fp.mul"; break;
case OP_FPA_DIV: name = "fp.div"; break;
default:
UNREACHABLE();
break;
}
return m_manager->mk_func_decl(name, arity, domain, domain[1], func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_rm_unary_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 2)
m_manager->raise_exception("invalid number of arguments to floating point operator");
if (!is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected RoundingMode as first argument");
if (!is_float_sort(domain[1]))
m_manager->raise_exception("sort mismatch, expected FloatingPoint as second argument");
symbol name;
switch (k) {
case OP_FPA_SQRT: name = "fp.sqrt"; break;
case OP_FPA_ROUND_TO_INTEGRAL: name = "fp.roundToIntegral"; break;
default:
UNREACHABLE();
break;
}
return m_manager->mk_func_decl(name, arity, domain, domain[1], func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_fma(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 4)
m_manager->raise_exception("invalid number of arguments to fused_ma operator");
if (!is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected RoundingMode as first argument");
if (domain[1] != domain[2] || domain[1] != domain[3] || !is_float_sort(domain[1]))
m_manager->raise_exception("sort mismatch, expected arguments 1,2,3 of equal FloatingPoint sort");
symbol name("fp.fma");
return m_manager->mk_func_decl(name, arity, domain, domain[1], func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_to_fp(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (m_bv_plugin && arity == 3 &&
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)) {
// 3 BVs -> 1 FP
unsigned ebits = domain[1]->get_parameter(0).get_int();
unsigned sbits = domain[2]->get_parameter(0).get_int() + 1;
parameter ps[] = { parameter(ebits), parameter(sbits) };
sort * fp = mk_float_sort(ebits, sbits);
symbol name("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, 2, ps));
}
else if (m_bv_plugin && arity == 1 && is_sort_of(domain[0], m_bv_fid, BV_SORT)) {
// 1 BV -> 1 FP
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();
if (domain[0]->get_parameter(0).get_int() != (ebits + sbits))
m_manager->raise_exception("sort mismatch; invalid bit-vector size, expected bitvector of size (ebits+sbits)");
sort * fp = mk_float_sort(ebits, sbits);
symbol name("to_fp");
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 == 2 &&
is_sort_of(domain[0], m_family_id, ROUNDING_MODE_SORT) &&
is_sort_of(domain[1], m_bv_fid, BV_SORT)) {
// RoundingMode + 1 BV -> 1 FP
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("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else if (arity == 2 &&
is_sort_of(domain[0], m_family_id, ROUNDING_MODE_SORT) &&
is_sort_of(domain[1], m_family_id, FLOATING_POINT_SORT)) {
// Rounding + 1 FP -> 1 FP
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();
if (!is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected first argument of RoundingMode sort");
if (!is_sort_of(domain[1], m_family_id, FLOATING_POINT_SORT))
m_manager->raise_exception("sort mismatch, expected second argument of FloatingPoint sort");
sort * fp = mk_float_sort(ebits, sbits);
symbol name("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else if (arity == 3 &&
is_sort_of(domain[0], m_family_id, ROUNDING_MODE_SORT) &&
is_sort_of(domain[1], m_arith_fid, REAL_SORT) &&
is_sort_of(domain[2], m_arith_fid, INT_SORT))
{
// Rounding + 1 Real + 1 Int -> 1 FP
if (!(num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()))
m_manager->raise_exception("expecting two integer parameters to to_fp");
sort * fp = mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
symbol name("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else if (arity == 1 &&
is_sort_of(domain[0], m_arith_fid, REAL_SORT))
{
// 1 Real -> 1 FP
if (!(num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()))
m_manager->raise_exception("expecting two integer parameters to to_fp");
if (domain[1] != m_real_sort)
m_manager->raise_exception("sort mismatch, expected one argument of Real sort");
sort * fp = mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
symbol name("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else if (arity == 2 &&
is_sort_of(domain[0], m_family_id, ROUNDING_MODE_SORT) &&
is_sort_of(domain[1], m_arith_fid, REAL_SORT))
{
// Rounding + 1 Real -> 1 FP
if (!(num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()))
m_manager->raise_exception("expecting two integer parameters to to_fp");
sort * fp = mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
symbol name("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else if (arity == 2 &&
is_sort_of(domain[0], m_family_id, ROUNDING_MODE_SORT) &&
is_sort_of(domain[1], m_arith_fid, INT_SORT)) {
// Rounding + 1 Int -> 1 FP
if (!(num_parameters == 2 && parameters[0].is_int() && parameters[1].is_int()))
m_manager->raise_exception("expecting two integer parameters to to_fp");
sort * fp = mk_float_sort(parameters[0].get_int(), parameters[1].get_int());
symbol name("to_fp");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else {
m_manager->raise_exception("Unexpected argument combination for (_ to_fp eb sb). Supported argument combinations are: "
"((_ BitVec 1) (_ BitVec eb) (_ BitVec sb-1)), "
"(_ BitVec (eb+sb)), "
"(Real), "
"(RoundingMode (_ BitVec (eb+sb))), "
"(RoundingMode (_ FloatingPoint eb' sb')), "
"(RoundingMode Real Int), "
"(RoundingMode Int), and "
"(RoundingMode Real)."
);
}
return 0;
}
func_decl * fpa_decl_plugin::mk_to_fp_unsigned(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
SASSERT(m_bv_plugin);
if (arity != 2)
m_manager->raise_exception("invalid number of arguments to to_fp_unsigned");
if (!is_sort_of(domain[0], m_family_id, ROUNDING_MODE_SORT))
m_manager->raise_exception("sort mismatch, expected first argument of RoundingMode sort");
if (!is_sort_of(domain[1], m_bv_fid, BV_SORT))
m_manager->raise_exception("sort mismatch, expected second argument of bit-vector sort");
// RoundingMode + 1 BV -> 1 FP
if (num_parameters != 2)
m_manager->raise_exception("invalid number of parameters to to_fp_unsigned");
if (!parameters[0].is_int() || !parameters[1].is_int())
m_manager->raise_exception("invalid parameter type to to_fp_unsigned");
int ebits = parameters[0].get_int();
int sbits = parameters[1].get_int();
sort * fp = mk_float_sort(ebits, sbits);
symbol name("to_fp_unsigned");
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_fp(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 3)
m_manager->raise_exception("invalid number of arguments to fp");
if (!is_sort_of(domain[0], m_bv_fid, BV_SORT) ||
(domain[0]->get_parameter(0).get_int() != 1) ||
!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 mismatch, expected three bit-vectors, the first one of size 1.");
int eb = (domain[1])->get_parameter(0).get_int();
int sb = (domain[2])->get_parameter(0).get_int() + 1;
symbol name("fp");
sort * fp = mk_float_sort(eb, sb);
return m_manager->mk_func_decl(name, arity, domain, fp, func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_to_ubv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
SASSERT(m_bv_plugin);
if (arity != 2)
m_manager->raise_exception("invalid number of arguments to fp.to_ubv");
if (num_parameters != 1)
m_manager->raise_exception("invalid number of parameters to fp.to_ubv");
if (!parameters[0].is_int())
m_manager->raise_exception("invalid parameter type; fp.to_ubv expects an int parameter");
if (!is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected first argument of RoundingMode sort");
if (!is_sort_of(domain[1], m_family_id, FLOATING_POINT_SORT))
m_manager->raise_exception("sort mismatch, expected second argument of FloatingPoint sort");
if (parameters[0].get_int() <= 0)
m_manager->raise_exception("invalid parameter value; fp.to_ubv expects a parameter larger than 0");
symbol name("fp.to_ubv");
sort * bvs = m_bv_plugin->mk_sort(BV_SORT, 1, parameters);
return m_manager->mk_func_decl(name, arity, domain, bvs, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_to_sbv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
SASSERT(m_bv_plugin);
if (arity != 2)
m_manager->raise_exception("invalid number of arguments to fp.to_sbv");
if (num_parameters != 1)
m_manager->raise_exception("invalid number of parameters to fp.to_sbv");
if (!parameters[0].is_int())
m_manager->raise_exception("invalid parameter type; fp.to_sbv expects an int parameter");
if (!is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected first argument of RoundingMode sort");
if (!is_sort_of(domain[1], m_family_id, FLOATING_POINT_SORT))
m_manager->raise_exception("sort mismatch, expected second argument of FloatingPoint sort");
if (parameters[0].get_int() <= 0)
m_manager->raise_exception("invalid parameter value; fp.to_sbv expects a parameter larger than 0");
symbol name("fp.to_sbv");
sort * bvs = m_bv_plugin->mk_sort(BV_SORT, 1, parameters);
return m_manager->mk_func_decl(name, arity, domain, bvs, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_to_real(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 1)
m_manager->raise_exception("invalid number of arguments to fp.to_real");
if (!is_float_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected argument of FloatingPoint sort");
symbol name("fp.to_real");
return m_manager->mk_func_decl(name, 1, domain, m_real_sort, func_decl_info(m_family_id, k));
}
func_decl * fpa_decl_plugin::mk_to_ieee_bv(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 1)
m_manager->raise_exception("invalid number of arguments to to_ieee_bv");
if (!is_float_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected argument of FloatingPoint sort");
unsigned float_sz = domain[0]->get_parameter(0).get_int() + domain[0]->get_parameter(1).get_int();
parameter ps[] = { parameter(float_sz) };
sort * bv_srt = m_bv_plugin->mk_sort(m_bv_fid, 1, ps);
symbol name("to_ieee_bv");
return m_manager->mk_func_decl(name, 1, domain, bv_srt, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_internal_bv_wrap(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 1)
m_manager->raise_exception("invalid number of arguments to internal_bv_wrap");
if (!is_float_sort(domain[0]) && !is_rm_sort(domain[0]))
m_manager->raise_exception("sort mismatch, expected argument of FloatingPoint or RoundingMode sort");
if (is_float_sort(domain[0]))
{
unsigned float_sz = domain[0]->get_parameter(0).get_int() + domain[0]->get_parameter(1).get_int();
parameter ps[] = { parameter(float_sz) };
sort * bv_srt = m_bv_plugin->mk_sort(m_bv_fid, 1, ps);
return m_manager->mk_func_decl(symbol("bv_wrap"), 1, domain, bv_srt, func_decl_info(m_family_id, k, num_parameters, parameters));
}
else {
parameter ps[] = { parameter(3) };
sort * bv_srt = m_bv_plugin->mk_sort(m_bv_fid, 1, ps);
return m_manager->mk_func_decl(symbol("bv_wrap"), 1, domain, bv_srt, func_decl_info(m_family_id, k, num_parameters, parameters));
}
}
func_decl * fpa_decl_plugin::mk_internal_bv_unwrap(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 1)
m_manager->raise_exception("invalid number of arguments to internal_bv_unwrap");
if (!is_sort_of(domain[0], m_bv_fid, BV_SORT))
m_manager->raise_exception("sort mismatch, expected argument of bitvector sort");
if (!is_float_sort(range) && !is_rm_sort(range))
m_manager->raise_exception("sort mismatch, expected range of FloatingPoint sort");
return m_manager->mk_func_decl(symbol("bv_unwrap"), 1, domain, range, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_internal_min_unspecified(
decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 0)
m_manager->raise_exception("invalid number of arguments to fp.min_unspecified");
if (!is_float_sort(range))
m_manager->raise_exception("sort mismatch, expected range of FloatingPoint sort");
return m_manager->mk_func_decl(symbol("fp.min_unspecified"), 0, (sort*)0, range, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_internal_max_unspecified(
decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 0)
m_manager->raise_exception("invalid number of arguments to fp.max_unspecified");
if (!is_float_sort(range))
m_manager->raise_exception("sort mismatch, expected range of FloatingPoint sort");
return m_manager->mk_func_decl(symbol("fp.max_unspecified"), 0, (sort*)0, range, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_internal_to_ubv_unspecified(
decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 0)
m_manager->raise_exception("invalid number of arguments to fp.to_ubv_unspecified");
if (num_parameters != 1)
m_manager->raise_exception("invalid number of parameters to fp.to_ubv_unspecified; expecting 1");
if (!parameters[0].is_int())
m_manager->raise_exception("invalid parameters type provided to fp.to_ubv_unspecified; expecting an integer");
sort * bv_srt = m_bv_plugin->mk_sort(m_bv_fid, 1, parameters);
return m_manager->mk_func_decl(symbol("fp.to_ubv_unspecified"), 0, domain, bv_srt, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_internal_to_sbv_unspecified(
decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 0)
m_manager->raise_exception("invalid number of arguments to internal_to_sbv_unspecified");
if (num_parameters != 1)
m_manager->raise_exception("invalid number of parameters to fp.to_sbv_unspecified; expecting 1");
if (!parameters[0].is_int())
m_manager->raise_exception("invalid parameters type provided to fp.to_sbv_unspecified; expecting an integer");
sort * bv_srt = m_bv_plugin->mk_sort(m_bv_fid, 1, parameters);
return m_manager->mk_func_decl(symbol("fp.to_sbv_unspecified"), 0, domain, bv_srt, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_internal_to_real_unspecified(
decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
if (arity != 0)
m_manager->raise_exception("invalid number of arguments to internal_to_real_unspecified");
if (!is_sort_of(range, m_arith_fid, REAL_SORT))
m_manager->raise_exception("sort mismatch, expected range of FloatingPoint sort");
return m_manager->mk_func_decl(symbol("fp.to_real_unspecified"), 0, domain, m_real_sort, func_decl_info(m_family_id, k, num_parameters, parameters));
}
func_decl * fpa_decl_plugin::mk_func_decl(decl_kind k, unsigned num_parameters, parameter const * parameters,
unsigned arity, sort * const * domain, sort * range) {
switch (k) {
case OP_FPA_MINUS_INF:
case OP_FPA_PLUS_INF:
case OP_FPA_NAN:
case OP_FPA_MINUS_ZERO:
case OP_FPA_PLUS_ZERO:
return mk_float_const_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_RM_NEAREST_TIES_TO_EVEN:
case OP_FPA_RM_NEAREST_TIES_TO_AWAY:
case OP_FPA_RM_TOWARD_POSITIVE:
case OP_FPA_RM_TOWARD_NEGATIVE:
case OP_FPA_RM_TOWARD_ZERO:
return mk_rm_const_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_EQ:
case OP_FPA_LT:
case OP_FPA_GT:
case OP_FPA_LE:
case OP_FPA_GE:
return mk_bin_rel_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_IS_ZERO:
case OP_FPA_IS_NEGATIVE:
case OP_FPA_IS_POSITIVE:
case OP_FPA_IS_NAN:
case OP_FPA_IS_INF:
case OP_FPA_IS_NORMAL:
case OP_FPA_IS_SUBNORMAL:
return mk_unary_rel_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_ABS:
case OP_FPA_NEG:
return mk_unary_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_REM:
case OP_FPA_MIN:
case OP_FPA_MAX:
return mk_binary_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_ADD:
case OP_FPA_MUL:
case OP_FPA_DIV:
return mk_rm_binary_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_SUB:
if (arity == 1)
return mk_unary_decl(OP_FPA_NEG, num_parameters, parameters, arity, domain, range);
else
return mk_rm_binary_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_SQRT:
case OP_FPA_ROUND_TO_INTEGRAL:
return mk_rm_unary_decl(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_FMA:
return mk_fma(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_FP:
return mk_fp(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_TO_UBV:
return mk_to_ubv(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_TO_SBV:
return mk_to_sbv(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_TO_REAL:
return mk_to_real(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_TO_FP:
return mk_to_fp(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_TO_FP_UNSIGNED:
return mk_to_fp_unsigned(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_TO_IEEE_BV:
return mk_to_ieee_bv(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_BVWRAP:
return mk_internal_bv_wrap(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_BVUNWRAP:
return mk_internal_bv_unwrap(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_MIN_UNSPECIFIED:
return mk_internal_min_unspecified(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_MAX_UNSPECIFIED:
return mk_internal_max_unspecified(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_TO_UBV_UNSPECIFIED:
return mk_internal_to_ubv_unspecified(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_TO_SBV_UNSPECIFIED:
return mk_internal_to_sbv_unspecified(k, num_parameters, parameters, arity, domain, range);
case OP_FPA_INTERNAL_TO_REAL_UNSPECIFIED:
return mk_internal_to_real_unspecified(k, num_parameters, parameters, arity, domain, range);
default:
m_manager->raise_exception("unsupported floating point operator");
return 0;
}
}
void fpa_decl_plugin::get_op_names(svector<builtin_name> & op_names, symbol const & logic) {
// These are the operators from the final draft of the SMT FloatingPoint standard
op_names.push_back(builtin_name("+oo", OP_FPA_PLUS_INF));
op_names.push_back(builtin_name("-oo", OP_FPA_MINUS_INF));
op_names.push_back(builtin_name("+zero", OP_FPA_PLUS_ZERO));
op_names.push_back(builtin_name("-zero", OP_FPA_MINUS_ZERO));
op_names.push_back(builtin_name("NaN", OP_FPA_NAN));
op_names.push_back(builtin_name("roundNearestTiesToEven", OP_FPA_RM_NEAREST_TIES_TO_EVEN));
op_names.push_back(builtin_name("roundNearestTiesToAway", OP_FPA_RM_NEAREST_TIES_TO_AWAY));
op_names.push_back(builtin_name("roundTowardPositive", OP_FPA_RM_TOWARD_POSITIVE));
op_names.push_back(builtin_name("roundTowardNegative", OP_FPA_RM_TOWARD_NEGATIVE));
op_names.push_back(builtin_name("roundTowardZero", OP_FPA_RM_TOWARD_ZERO));
op_names.push_back(builtin_name("RNE", OP_FPA_RM_NEAREST_TIES_TO_EVEN));
op_names.push_back(builtin_name("RNA", OP_FPA_RM_NEAREST_TIES_TO_AWAY));
op_names.push_back(builtin_name("RTP", OP_FPA_RM_TOWARD_POSITIVE));
op_names.push_back(builtin_name("RTN", OP_FPA_RM_TOWARD_NEGATIVE));
op_names.push_back(builtin_name("RTZ", OP_FPA_RM_TOWARD_ZERO));
op_names.push_back(builtin_name("fp.abs", OP_FPA_ABS));
op_names.push_back(builtin_name("fp.neg", OP_FPA_NEG));
op_names.push_back(builtin_name("fp.add", OP_FPA_ADD));
op_names.push_back(builtin_name("fp.sub", OP_FPA_SUB));
op_names.push_back(builtin_name("fp.mul", OP_FPA_MUL));
op_names.push_back(builtin_name("fp.div", OP_FPA_DIV));
op_names.push_back(builtin_name("fp.fma", OP_FPA_FMA));
op_names.push_back(builtin_name("fp.sqrt", OP_FPA_SQRT));
op_names.push_back(builtin_name("fp.rem", OP_FPA_REM));
op_names.push_back(builtin_name("fp.roundToIntegral", OP_FPA_ROUND_TO_INTEGRAL));
op_names.push_back(builtin_name("fp.min", OP_FPA_MIN));
op_names.push_back(builtin_name("fp.max", OP_FPA_MAX));
op_names.push_back(builtin_name("fp.leq", OP_FPA_LE));
op_names.push_back(builtin_name("fp.lt", OP_FPA_LT));
op_names.push_back(builtin_name("fp.geq", OP_FPA_GE));
op_names.push_back(builtin_name("fp.gt", OP_FPA_GT));
op_names.push_back(builtin_name("fp.eq", OP_FPA_EQ));
op_names.push_back(builtin_name("fp.isNormal", OP_FPA_IS_NORMAL));
op_names.push_back(builtin_name("fp.isSubnormal", OP_FPA_IS_SUBNORMAL));
op_names.push_back(builtin_name("fp.isZero", OP_FPA_IS_ZERO));
op_names.push_back(builtin_name("fp.isInfinite", OP_FPA_IS_INF));
op_names.push_back(builtin_name("fp.isNaN", OP_FPA_IS_NAN));
op_names.push_back(builtin_name("fp.isNegative", OP_FPA_IS_NEGATIVE));
op_names.push_back(builtin_name("fp.isPositive", OP_FPA_IS_POSITIVE));
op_names.push_back(builtin_name("fp", OP_FPA_FP));
op_names.push_back(builtin_name("fp.to_ubv", OP_FPA_TO_UBV));
op_names.push_back(builtin_name("fp.to_sbv", OP_FPA_TO_SBV));
op_names.push_back(builtin_name("fp.to_real", OP_FPA_TO_REAL));
op_names.push_back(builtin_name("to_fp", OP_FPA_TO_FP));
op_names.push_back(builtin_name("to_fp_unsigned", OP_FPA_TO_FP_UNSIGNED));
/* Extensions */
op_names.push_back(builtin_name("to_ieee_bv", OP_FPA_TO_IEEE_BV));
}
void fpa_decl_plugin::get_sort_names(svector<builtin_name> & sort_names, symbol const & logic) {
sort_names.push_back(builtin_name("FloatingPoint", FLOATING_POINT_SORT));
sort_names.push_back(builtin_name("RoundingMode", ROUNDING_MODE_SORT));
// The final theory supports three common FloatingPoint sorts
sort_names.push_back(builtin_name("Float16", FLOAT16_SORT));
sort_names.push_back(builtin_name("Float32", FLOAT32_SORT));
sort_names.push_back(builtin_name("Float64", FLOAT64_SORT));
sort_names.push_back(builtin_name("Float128", FLOAT128_SORT));
}
expr * fpa_decl_plugin::get_some_value(sort * s) {
if (s->is_sort_of(m_family_id, FLOATING_POINT_SORT)) {
mpf tmp;
m_fm.mk_nan(s->get_parameter(0).get_int(), s->get_parameter(1).get_int(), tmp);
expr * res = mk_numeral(tmp);
m_fm.del(tmp);
return res;
}
else if (s->is_sort_of(m_family_id, ROUNDING_MODE_SORT)) {
func_decl * f = mk_rm_const_decl(OP_FPA_RM_TOWARD_ZERO, 0, 0, 0, 0, s);
return m_manager->mk_const(f);
}
UNREACHABLE();
return 0;
}
bool fpa_decl_plugin::is_value(app * e) const {
if (e->get_family_id() != m_family_id)
return false;
switch (e->get_decl_kind()) {
case OP_FPA_RM_NEAREST_TIES_TO_EVEN:
case OP_FPA_RM_NEAREST_TIES_TO_AWAY:
case OP_FPA_RM_TOWARD_POSITIVE:
case OP_FPA_RM_TOWARD_NEGATIVE:
case OP_FPA_RM_TOWARD_ZERO:
case OP_FPA_NUM:
case OP_FPA_PLUS_INF:
case OP_FPA_MINUS_INF:
case OP_FPA_PLUS_ZERO:
case OP_FPA_MINUS_ZERO:
case OP_FPA_NAN:
return true;
case OP_FPA_FP:
return m_manager->is_value(e->get_arg(0)) &&
m_manager->is_value(e->get_arg(1)) &&
m_manager->is_value(e->get_arg(2));
default:
return false;
}
}
bool fpa_decl_plugin::is_unique_value(app* e) const {
if (e->get_family_id() != m_family_id)
return false;
switch (e->get_decl_kind()) {
case OP_FPA_RM_NEAREST_TIES_TO_EVEN:
case OP_FPA_RM_NEAREST_TIES_TO_AWAY:
case OP_FPA_RM_TOWARD_POSITIVE:
case OP_FPA_RM_TOWARD_NEGATIVE:
case OP_FPA_RM_TOWARD_ZERO:
return true;
case OP_FPA_PLUS_INF: /* No; +oo == fp(#b0 #b11 #b00) */
case OP_FPA_MINUS_INF: /* No; -oo == fp #b1 #b11 #b00) */
case OP_FPA_PLUS_ZERO: /* No; +zero == fp #b0 #b00 #b000) */
case OP_FPA_MINUS_ZERO: /* No; -zero == fp #b1 #b00 #b000) */
case OP_FPA_NAN: /* No; NaN == (fp #b0 #b111111 #b0000001) */
case OP_FPA_NUM: /* see NaN */
return false;
case OP_FPA_FP:
return m_manager->is_unique_value(e->get_arg(0)) &&
m_manager->is_unique_value(e->get_arg(1)) &&
m_manager->is_unique_value(e->get_arg(2));
default:
return false;
}
}
fpa_util::fpa_util(ast_manager & m):
m_manager(m),
m_fid(m.mk_family_id("fpa")),
m_a_util(m),
m_bv_util(m) {
m_plugin = static_cast<fpa_decl_plugin*>(m.get_plugin(m_fid));
}
fpa_util::~fpa_util() {
}
sort * fpa_util::mk_float_sort(unsigned ebits, unsigned sbits) {
parameter ps[2] = { parameter(ebits), parameter(sbits) };
return m().mk_sort(m_fid, FLOATING_POINT_SORT, 2, ps);
}
unsigned fpa_util::get_ebits(sort * s) {
SASSERT(is_float(s));
return static_cast<unsigned>(s->get_parameter(0).get_int());
}
unsigned fpa_util::get_sbits(sort * s) {
SASSERT(is_float(s));
return static_cast<unsigned>(s->get_parameter(1).get_int());
}
app * fpa_util::mk_nan(unsigned ebits, unsigned sbits) {
scoped_mpf v(fm());
fm().mk_nan(ebits, sbits, v);
return mk_value(v);
}
app * fpa_util::mk_pinf(unsigned ebits, unsigned sbits) {
scoped_mpf v(fm());
fm().mk_pinf(ebits, sbits, v);
return mk_value(v);
}
app * fpa_util::mk_ninf(unsigned ebits, unsigned sbits) {
scoped_mpf v(fm());
fm().mk_ninf(ebits, sbits, v);
return mk_value(v);
}
app * fpa_util::mk_pzero(unsigned ebits, unsigned sbits) {
scoped_mpf v(fm());
fm().mk_pzero(ebits, sbits, v);
return mk_value(v);
}
app * fpa_util::mk_nzero(unsigned ebits, unsigned sbits) {
scoped_mpf v(fm());
fm().mk_nzero(ebits, sbits, v);
return mk_value(v);
}
app * fpa_util::mk_internal_min_unspecified(unsigned ebits, unsigned sbits) {
return m().mk_app(get_family_id(), OP_FPA_INTERNAL_MIN_UNSPECIFIED, 0, 0, 0, 0, mk_float_sort(ebits, sbits));
}
app * fpa_util::mk_internal_max_unspecified(unsigned ebits, unsigned sbits) {
return m().mk_app(get_family_id(), OP_FPA_INTERNAL_MAX_UNSPECIFIED, 0, 0, 0, 0, mk_float_sort(ebits, sbits));
}
app * fpa_util::mk_internal_to_ubv_unspecified(unsigned width) {
parameter ps[] = { parameter(width) };
sort * range = m_bv_util.mk_sort(width);
return m().mk_app(get_family_id(), OP_FPA_INTERNAL_TO_UBV_UNSPECIFIED, 1, ps, 0, 0, range);
}
app * fpa_util::mk_internal_to_sbv_unspecified(unsigned width) {
parameter ps[] = { parameter(width) };
sort * range = m_bv_util.mk_sort(width);
return m().mk_app(get_family_id(), OP_FPA_INTERNAL_TO_SBV_UNSPECIFIED, 1, ps, 0, 0, range);
}
app * fpa_util::mk_internal_to_ieee_bv_unspecified(unsigned width) {
parameter ps[] = { parameter(width) };
sort * range = m_bv_util.mk_sort(width);
return m().mk_app(get_family_id(), OP_FPA_INTERNAL_TO_SBV_UNSPECIFIED, 1, ps, 0, 0, range);
}
app * fpa_util::mk_internal_to_real_unspecified() {
sort * range = m_a_util.mk_real();
return m().mk_app(get_family_id(), OP_FPA_INTERNAL_TO_REAL_UNSPECIFIED, 0, 0, 0, 0, range);
}
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