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Simplified bit-vector bounds in fp.rem. Relates to #872.

This commit is contained in:
Christoph M. Wintersteiger 2017-07-31 19:53:55 +01:00
parent ecfd241e19
commit 52cf80d637

View file

@ -1535,12 +1535,12 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
// Extend c
expr_ref c_sig_ext(m);
c_sig_ext = m_bv_util.mk_zero_extend(1, m_bv_util.mk_concat(c_sig, m_bv_util.mk_numeral(0, sbits - 1 + 3)));
c_sig_ext = m_bv_util.mk_zero_extend(1, m_bv_util.mk_concat(c_sig, m_bv_util.mk_numeral(0, sbits+2)));
c_exp_ext = m_bv_util.mk_bv_sub(c_exp_ext, c_lz_ext);
mul_sig = m_bv_util.mk_concat(mul_sig, m_bv_util.mk_numeral(0, 3));
SASSERT(m_bv_util.get_bv_size(mul_sig) == 2 * sbits + 3);
SASSERT(m_bv_util.get_bv_size(c_sig_ext) == 2 * sbits + 3);
SASSERT(m_bv_util.get_bv_size(mul_sig) == 2*sbits+3);
SASSERT(m_bv_util.get_bv_size(c_sig_ext) == 2*sbits+3);
dbg_decouple("fpa2bv_fma_c_sig_ext", c_sig_ext);
dbg_decouple("fpa2bv_fma_c_exp_ext", c_exp_ext);
@ -1564,8 +1564,8 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
SASSERT(is_well_sorted(m, f_sig));
SASSERT(is_well_sorted(m, f_exp));
SASSERT(m_bv_util.get_bv_size(e_sig) == 2 * sbits + 3);
SASSERT(m_bv_util.get_bv_size(f_sig) == 2 * sbits + 3);
SASSERT(m_bv_util.get_bv_size(e_sig) == 2*sbits+3);
SASSERT(m_bv_util.get_bv_size(f_sig) == 2*sbits+3);
SASSERT(m_bv_util.get_bv_size(e_exp) == ebits + 2);
SASSERT(m_bv_util.get_bv_size(f_exp) == ebits + 2);
@ -1595,7 +1595,7 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
shifted_big = m_bv_util.mk_bv_lshr(
m_bv_util.mk_concat(f_sig, m_bv_util.mk_numeral(0, sbits)),
m_bv_util.mk_zero_extend((3*sbits+3)-(ebits+2), exp_delta));
shifted_f_sig = m_bv_util.mk_extract(3*sbits-1+3, sbits, shifted_big);
shifted_f_sig = m_bv_util.mk_extract(3*sbits+2, sbits, shifted_big);
alignment_sticky_raw = m_bv_util.mk_extract(sbits-1, 0, shifted_big);
alignment_sticky = m.mk_app(m_bv_util.get_fid(), OP_BREDOR, alignment_sticky_raw.get());
dbg_decouple("fpa2bv_fma_shifted_f_sig", shifted_f_sig);
@ -1613,14 +1613,14 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
m_simp.mk_eq(e_sgn, f_sgn, eq_sgn);
dbg_decouple("fpa2bv_fma_eq_sgn", eq_sgn);
SASSERT(m_bv_util.get_bv_size(e_sig) == 2*sbits+2+3);
SASSERT(m_bv_util.get_bv_size(shifted_f_sig) == 2*sbits+2+3);
SASSERT(m_bv_util.get_bv_size(e_sig) == 2*sbits+5);
SASSERT(m_bv_util.get_bv_size(shifted_f_sig) == 2*sbits+5);
dbg_decouple("fpa2bv_fma_add_e_sig", e_sig);
dbg_decouple("fpa2bv_fma_add_shifted_f_sig", shifted_f_sig);
expr_ref sum(m), e_plus_f(m), e_minus_f(m), sticky_wide(m);
sticky_wide = m_bv_util.mk_zero_extend(2*sbits+1+3, alignment_sticky);
sticky_wide = m_bv_util.mk_zero_extend(2*sbits+4, alignment_sticky);
e_plus_f = m_bv_util.mk_bv_add(e_sig, shifted_f_sig);
e_plus_f = m.mk_ite(m.mk_eq(m_bv_util.mk_extract(0, 0, e_plus_f), zero_1),
m_bv_util.mk_bv_add(e_plus_f, sticky_wide),
@ -1633,12 +1633,12 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
dbg_decouple("fpa2bv_fma_f_sig_or_sticky", shifted_f_sig);
m_simp.mk_ite(eq_sgn, e_plus_f, e_minus_f, sum);
SASSERT(m_bv_util.get_bv_size(sum) == 2*sbits+2+3);
SASSERT(m_bv_util.get_bv_size(sum) == 2*sbits+5);
SASSERT(is_well_sorted(m, sum));
dbg_decouple("fpa2bv_fma_add_sum", sum);
expr_ref sign_bv(m), n_sum(m);
sign_bv = m_bv_util.mk_extract(2*sbits+1+3, 2*sbits+1+3, sum);
sign_bv = m_bv_util.mk_extract(2*sbits+4, 2*sbits+4, sum);
n_sum = m_bv_util.mk_bv_neg(sum);
dbg_decouple("fpa2bv_fma_add_sign_bv", sign_bv);
dbg_decouple("fpa2bv_fma_add_n_sum", n_sum);
@ -1662,14 +1662,14 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
dbg_decouple("fpa2bv_fma_res_sgn", res_sgn);
expr_ref is_sig_neg(m);
is_sig_neg = m.mk_eq(one_1, m_bv_util.mk_extract(2*sbits+1+3, 2*sbits+1+3, sig_abs));
is_sig_neg = m.mk_eq(one_1, m_bv_util.mk_extract(2*sbits+4, 2*sbits+4, sig_abs));
sig_abs = m.mk_ite(is_sig_neg, m_bv_util.mk_bv_neg(sig_abs), sig_abs);
dbg_decouple("fpa2bv_fma_is_sig_neg", is_sig_neg);
// Result could have overflown into 4.xxx.
SASSERT(m_bv_util.get_bv_size(sig_abs) == 2*sbits+2+3);
SASSERT(m_bv_util.get_bv_size(sig_abs) == 2*sbits+4);
expr_ref extra(m), extra_is_zero(m);
extra = m_bv_util.mk_extract(2*sbits+1+3, 2*sbits+3, sig_abs);
extra = m_bv_util.mk_extract(2*sbits+4, 2*sbits+3, sig_abs);
extra_is_zero = m.mk_eq(extra, m_bv_util.mk_numeral(0, 2));
dbg_decouple("fpa2bv_fma_extra", extra);
@ -1700,30 +1700,30 @@ void fpa2bv_converter::mk_fma(func_decl * f, unsigned num, expr * const * args,
}
expr_ref sig_abs_h1(m), sticky_h1(m), sticky_h1_red(m), sig_abs_h1_f(m), res_sig_1(m);
sticky_h1 = m_bv_util.mk_extract(sbits - 5 + too_short + 3, 0, sig_abs);
sig_abs_h1 = m_bv_util.mk_extract(2 * sbits + 1 + too_short + 3, sbits - 4 + too_short + 3, sig_abs);
sticky_h1_red = m_bv_util.mk_zero_extend(sbits + 5, m.mk_app(m_bv_util.get_fid(), OP_BREDOR, sticky_h1.get()));
sticky_h1 = m_bv_util.mk_extract(sbits+too_short-2, 0, sig_abs);
sig_abs_h1 = m_bv_util.mk_extract(2*sbits+too_short+4, sbits-1+too_short, sig_abs);
sticky_h1_red = m_bv_util.mk_zero_extend(sbits+5, m.mk_app(m_bv_util.get_fid(), OP_BREDOR, sticky_h1.get()));
expr * sticky_h1_red_args[2] = { sig_abs_h1, sticky_h1_red };
sig_abs_h1_f = m_bv_util.mk_bv_or(2, sticky_h1_red_args);
res_sig_1 = m_bv_util.mk_extract(sbits + 3, 0, sig_abs_h1_f);
SASSERT(m_bv_util.get_bv_size(sticky_h1) == sbits - 4 + too_short + 3);
SASSERT(m_bv_util.get_bv_size(sig_abs_h1) == sbits + 6);
SASSERT(m_bv_util.get_bv_size(sticky_h1_red) == sbits + 6);
SASSERT(m_bv_util.get_bv_size(sig_abs_h1_f) == sbits + 6);
SASSERT(m_bv_util.get_bv_size(res_sig_1) == sbits + 4);
res_sig_1 = m_bv_util.mk_extract(sbits+3, 0, sig_abs_h1_f);
SASSERT(m_bv_util.get_bv_size(sticky_h1) == sbits+too_short-1);
SASSERT(m_bv_util.get_bv_size(sig_abs_h1) == sbits+6);
SASSERT(m_bv_util.get_bv_size(sticky_h1_red) == sbits+6);
SASSERT(m_bv_util.get_bv_size(sig_abs_h1_f) == sbits+6);
SASSERT(m_bv_util.get_bv_size(res_sig_1) == sbits+4);
expr_ref sig_abs_h2(m), sticky_h2(m), sticky_h2_red(m), sig_abs_h2_f(m), res_sig_2(m);
sticky_h2 = m_bv_util.mk_extract(sbits - 4 + too_short + 3, 0, sig_abs);
sig_abs_h2 = m_bv_util.mk_extract(2 * sbits + 1 + too_short + 3, sbits - 3 + too_short + 3, sig_abs);
sticky_h2_red = m_bv_util.mk_zero_extend(sbits + 4, m.mk_app(m_bv_util.get_fid(), OP_BREDOR, sticky_h1.get()));
sticky_h2 = m_bv_util.mk_extract(sbits+too_short-1, 0, sig_abs);
sig_abs_h2 = m_bv_util.mk_extract(2*sbits+too_short+4, sbits+too_short, sig_abs);
sticky_h2_red = m_bv_util.mk_zero_extend(sbits+4, m.mk_app(m_bv_util.get_fid(), OP_BREDOR, sticky_h1.get()));
expr * sticky_h2_red_args[2] = { sig_abs_h2, sticky_h2_red };
sig_abs_h2_f = m_bv_util.mk_zero_extend(1, m_bv_util.mk_bv_or(2, sticky_h2_red_args));
res_sig_2 = m_bv_util.mk_extract(sbits + 3, 0, sig_abs_h2_f);
SASSERT(m_bv_util.get_bv_size(sticky_h2) == sbits - 3 + too_short + 3);
SASSERT(m_bv_util.get_bv_size(sig_abs_h2) == sbits + 5);
SASSERT(m_bv_util.get_bv_size(sticky_h2_red) == sbits + 5);
SASSERT(m_bv_util.get_bv_size(sig_abs_h2_f) == sbits + 6);
SASSERT(m_bv_util.get_bv_size(res_sig_2) == sbits + 4);
res_sig_2 = m_bv_util.mk_extract(sbits+3, 0, sig_abs_h2_f);
SASSERT(m_bv_util.get_bv_size(sticky_h2) == sbits+too_short);
SASSERT(m_bv_util.get_bv_size(sig_abs_h2) == sbits+5);
SASSERT(m_bv_util.get_bv_size(sticky_h2_red) == sbits+5);
SASSERT(m_bv_util.get_bv_size(sig_abs_h2_f) == sbits+6);
SASSERT(m_bv_util.get_bv_size(res_sig_2) == sbits+4);
res_sig = m.mk_ite(extra_is_zero, res_sig_1, res_sig_2);