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https://github.com/Z3Prover/z3
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FPA: bugfix for float to float conversion (subnormal numbers).
Thanks to Gabriele Paganelli for reporting this bug! Signed-off-by: Christoph M. Wintersteiger <cwinter@microsoft.com>
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@ -1698,6 +1698,10 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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expr_ref sgn(m), sig(m), exp(m), lz(m);
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unpack(x, sgn, sig, exp, lz, true);
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dbg_decouple("fpa2bv_to_float_x_sig", sig);
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dbg_decouple("fpa2bv_to_float_x_exp", exp);
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dbg_decouple("fpa2bv_to_float_lz", lz);
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expr_ref res_sgn(m), res_sig(m), res_exp(m);
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res_sgn = sgn;
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@ -1710,10 +1714,13 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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SASSERT(m_bv_util.get_bv_size(sgn) == 1);
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SASSERT(m_bv_util.get_bv_size(sig) == from_sbits);
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SASSERT(m_bv_util.get_bv_size(exp) == from_ebits);
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SASSERT(m_bv_util.get_bv_size(lz) == from_ebits);
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if (from_sbits < (to_sbits + 3))
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if (from_sbits < (to_sbits + 3))
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{
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// make sure that sig has at least to_sbits + 3
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res_sig = m_bv_util.mk_concat(sig, m_bv_util.mk_numeral(0, to_sbits+3-from_sbits));
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}
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else if (from_sbits > (to_sbits + 3))
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{
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// collapse the extra bits into a sticky bit.
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@ -1734,7 +1741,9 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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exponent_overflow = m.mk_false();
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if (from_ebits < (to_ebits + 2))
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res_exp = m_bv_util.mk_sign_extend(to_ebits+2-from_ebits, exp);
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{
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res_exp = m_bv_util.mk_sign_extend(to_ebits-from_ebits+2, exp);
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}
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else if (from_ebits > (to_ebits + 2))
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{
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expr_ref high(m), low(m), lows(m), high_red_or(m), high_red_and(m), h_or_eq(m), h_and_eq(m);
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@ -1747,7 +1756,7 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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high_red_and = m.mk_app(m_bv_util.get_fid(), OP_BREDAND, high.get());
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zero1 = m_bv_util.mk_numeral(0, 1);
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m_simp.mk_eq(high_red_and, one1, h_and_eq);
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m_simp.mk_eq(high_red_and, one1, h_and_eq);
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m_simp.mk_eq(high_red_or, zero1, h_or_eq);
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m_simp.mk_eq(lows, zero1, s_is_zero);
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m_simp.mk_eq(lows, one1, s_is_one);
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@ -1763,10 +1772,18 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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else
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res_exp = exp;
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// subtract lz for subnormal numbers.
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expr_ref lz_ext(m);
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lz_ext = m_bv_util.mk_zero_extend(to_ebits-from_ebits+2, lz);
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res_exp = m_bv_util.mk_bv_sub(res_exp, lz_ext);
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SASSERT(m_bv_util.get_bv_size(res_exp) == to_ebits+2);
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dbg_decouple("fpa2bv_to_float_res_sig", res_sig);
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dbg_decouple("fpa2bv_to_float_res_exp", res_exp);
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expr_ref rounded(m);
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round(s, rm, res_sgn, res_sig, res_exp, rounded);
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expr_ref is_neg(m), sig_inf(m);
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m_simp.mk_eq(sgn, one1, is_neg);
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@ -1781,7 +1798,7 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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mk_ite(c4, v4, result, result);
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mk_ite(c3, v3, result, result);
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mk_ite(c2, v2, result, result);
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mk_ite(c1, v1, result, result);
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mk_ite(c1, v1, result, result);
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}
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else {
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// .. other than that, we only support rationals for asFloat
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@ -1826,7 +1843,7 @@ void fpa2bv_converter::mk_to_float(func_decl * f, unsigned num, expr * const * a
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m_util.fm().del(v);
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}
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SASSERT(is_well_sorted(m, result));
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SASSERT(is_well_sorted(m, result));
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}
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void fpa2bv_converter::mk_to_ieee_bv(func_decl * f, unsigned num, expr * const * args, expr_ref & result) {
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@ -2161,7 +2178,7 @@ void fpa2bv_converter::mk_rounding_mode(func_decl * f, expr_ref & result)
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void fpa2bv_converter::dbg_decouple(const char * prefix, expr_ref & e) {
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#ifdef _DEBUG
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return;
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// CMW: This works only for quantifier-free formulas.
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expr_ref new_e(m);
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new_e = m.mk_fresh_const(prefix, m.get_sort(e));
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