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Corrected unspecified behavior of corner cases in fp.min/fp.max.

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Partially addresses #68.
This commit is contained in:
Christoph M. Wintersteiger 2015-10-06 19:45:05 +01:00
parent 6e852762ba
commit 8a026c355f
10 changed files with 211 additions and 55 deletions
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81
src/ast/fpa/fpa2bv_converter.cpp
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@ -1088,16 +1088,55 @@ void fpa2bv_converter::mk_min(func_decl * f, unsigned num, expr * const * args,
expr_ref lt(m);
mk_float_lt(f, num, args, lt);
expr_ref zz(m);
zz = mk_min_unspecified(f, x, y);
TRACE("fpa2bv", tout << "min = " << mk_ismt2_pp(zz, m) << std::endl;);
result = y;
mk_ite(lt, x, result, result);
mk_ite(both_zero, y, result, result);
mk_ite(m.mk_and(both_zero, sgn_diff), pzero, result, result); // min(-0.0, +0.0) = min(+0.0, -0.0) = +0.0
mk_ite(m.mk_and(both_zero, sgn_diff), zz, result, result);
mk_ite(y_is_nan, x, result, result);
mk_ite(x_is_nan, y, result, result);
SASSERT(is_well_sorted(m, result));
}
expr_ref fpa2bv_converter::mk_min_unspecified(func_decl * f, expr * x, expr * y) {
unsigned ebits = m_util.get_ebits(f->get_range());
unsigned sbits = m_util.get_sbits(f->get_range());
expr_ref res(m);
// The only cases in which min is unspecified for is when the arguments are +0.0 and -0.0.
if (m_hi_fp_unspecified)
// The hardware interpretation is -0.0.
mk_nzero(f, res);
else {
app_ref pn_nondet(m), np_nondet(m);
pn_nondet = m.mk_fresh_const(0, m_bv_util.mk_sort(1));
np_nondet = m.mk_fresh_const(0, m_bv_util.mk_sort(1));
m_decls_to_hide.insert(pn_nondet->get_decl());
m_decls_to_hide.insert(np_nondet->get_decl());
expr_ref pn(m), np(m);
mk_fp(pn_nondet,
m_bv_util.mk_numeral(0, ebits),
m_bv_util.mk_numeral(0, sbits - 1),
pn);
mk_fp(np_nondet,
m_bv_util.mk_numeral(0, ebits),
m_bv_util.mk_numeral(0, sbits - 1),
np);
expr_ref x_is_pzero(m), x_is_nzero(m);
mk_is_pzero(x, x_is_pzero);
mk_is_nzero(y, x_is_nzero);
mk_ite(m.mk_and(x_is_pzero, x_is_nzero), pn, np, res);
}
return res;
}
void fpa2bv_converter::mk_max(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 2);
@ -1121,17 +1160,55 @@ void fpa2bv_converter::mk_max(func_decl * f, unsigned num, expr * const * args,
expr_ref gt(m);
mk_float_gt(f, num, args, gt);
expr_ref zz(m);
zz = mk_max_unspecified(f, x, y);
result = y;
mk_ite(gt, x, result, result);
mk_ite(both_zero, y, result, result);
mk_ite(m.mk_and(both_zero, sgn_diff), pzero, result, result); // max(-0.0, +0.0) = max(+0.0, -0.0) = +0.0
mk_ite(m.mk_and(both_zero, sgn_diff), zz, result, result);
mk_ite(y_is_nan, x, result, result);
mk_ite(x_is_nan, y, result, result);
SASSERT(is_well_sorted(m, result));
}
expr_ref fpa2bv_converter::mk_max_unspecified(func_decl * f, expr * x, expr * y) {
unsigned ebits = m_util.get_ebits(f->get_range());
unsigned sbits = m_util.get_sbits(f->get_range());
expr_ref res(m);
// The only cases in which max is unspecified for is when the arguments are +0.0 and -0.0.
if (m_hi_fp_unspecified)
// The hardware interpretation is +0.0.
mk_pzero(f, res);
else {
app_ref pn_nondet(m), np_nondet(m);
pn_nondet = m.mk_fresh_const(0, m_bv_util.mk_sort(1));
np_nondet = m.mk_fresh_const(0, m_bv_util.mk_sort(1));
m_decls_to_hide.insert(pn_nondet->get_decl());
m_decls_to_hide.insert(np_nondet->get_decl());
expr_ref pn(m), np(m);
mk_fp(pn_nondet,
m_bv_util.mk_numeral(0, ebits),
m_bv_util.mk_numeral(0, sbits - 1),
pn);
mk_fp(np_nondet,
m_bv_util.mk_numeral(0, ebits),
m_bv_util.mk_numeral(0, sbits - 1),
np);
expr_ref x_is_pzero(m), x_is_nzero(m);
mk_is_pzero(x, x_is_pzero);
mk_is_nzero(y, x_is_nzero);
mk_ite(m.mk_and(x_is_pzero, x_is_nzero), pn, np, res);
}
return res;
}
void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
SASSERT(num == 4);