/*++ Copyright (c) 2012 Microsoft Corporation Module Name: fpa2bv_rewriter.cpp Abstract: Rewriter for converting FPA to BV Author: Christoph (cwinter) 2012-02-09 Notes: --*/ #include "ast/rewriter/rewriter_def.h" #include "ast/fpa/fpa2bv_rewriter.h" #include "params/fpa2bv_rewriter_params.hpp" fpa2bv_rewriter_cfg::fpa2bv_rewriter_cfg(ast_manager & m, fpa2bv_converter & c, params_ref const & p) : m_manager(m), m_out(m), m_conv(c), m_bindings(m) { updt_params(p); // We need to make sure that the manager has the BV plugin loaded. symbol s_bv("bv"); if (!m_manager.has_plugin(s_bv)) m_manager.register_plugin(s_bv, alloc(bv_decl_plugin)); } void fpa2bv_rewriter_cfg::updt_local_params(params_ref const & _p) { fpa2bv_rewriter_params p(_p); bool v = p.hi_fp_unspecified(); m_conv.set_unspecified_fp_hi(v); } void fpa2bv_rewriter_cfg::updt_params(params_ref const & p) { m_max_memory = megabytes_to_bytes(p.get_uint("max_memory", UINT_MAX)); m_max_steps = p.get_uint("max_steps", UINT_MAX); updt_local_params(p); } bool fpa2bv_rewriter_cfg::max_steps_exceeded(unsigned num_steps) const { return num_steps > m_max_steps; } br_status fpa2bv_rewriter_cfg::reduce_app(func_decl * f, unsigned num, expr * const * args, expr_ref & result, proof_ref & result_pr) { TRACE("fpa2bv_rw", tout << "func: " << f->get_name() << std::endl; tout << "args: " << std::endl; for (unsigned i = 0; i < num; i++) tout << mk_ismt2_pp(args[i], m()) << std::endl;); if (num == 0 && f->get_family_id() == null_family_id && m_conv.is_float(f->get_range())) { m_conv.mk_const(f, result); return BR_DONE; } if (num == 0 && f->get_family_id() == null_family_id && m_conv.is_rm(f->get_range())) { m_conv.mk_rm_const(f, result); return BR_DONE; } if (m().is_eq(f)) { SASSERT(num == 2); TRACE("fpa2bv_rw", tout << "(= " << mk_ismt2_pp(args[0], m()) << " " << mk_ismt2_pp(args[1], m()) << ")" << std::endl;); SASSERT(args[0]->get_sort() == args[1]->get_sort()); sort * ds = f->get_domain()[0]; if (m_conv.is_float(ds)) { m_conv.mk_eq(args[0], args[1], result); return BR_DONE; } else if (m_conv.is_rm(ds)) { result = m().mk_eq(args[0], args[1]); return BR_DONE; } return BR_FAILED; } else if (m().is_ite(f)) { SASSERT(num == 3); if (m_conv.is_float(args[1]) || m_conv.is_rm(args[1])) { m_conv.mk_ite(args[0], args[1], args[2], result); return BR_DONE; } return BR_FAILED; } else if (m().is_distinct(f)) { sort * ds = f->get_domain()[0]; if (m_conv.is_float(ds) || m_conv.is_rm(ds)) { m_conv.mk_distinct(f, num, args, result); return BR_DONE; } return BR_FAILED; } if (m_conv.is_float_family(f)) { switch (f->get_decl_kind()) { case OP_FPA_RM_NEAREST_TIES_TO_AWAY: case OP_FPA_RM_NEAREST_TIES_TO_EVEN: case OP_FPA_RM_TOWARD_NEGATIVE: case OP_FPA_RM_TOWARD_POSITIVE: case OP_FPA_RM_TOWARD_ZERO: m_conv.mk_rounding_mode(f->get_decl_kind(), result); return BR_DONE; case OP_FPA_NUM: m_conv.mk_numeral(f, num, args, result); return BR_DONE; case OP_FPA_PLUS_INF: m_conv.mk_pinf(f, result); return BR_DONE; case OP_FPA_MINUS_INF: m_conv.mk_ninf(f, result); return BR_DONE; case OP_FPA_PLUS_ZERO: m_conv.mk_pzero(f, result); return BR_DONE; case OP_FPA_MINUS_ZERO: m_conv.mk_nzero(f, result); return BR_DONE; case OP_FPA_NAN: m_conv.mk_nan(f, result); return BR_DONE; case OP_FPA_ADD: m_conv.mk_add(f, num, args, result); return BR_DONE; case OP_FPA_SUB: m_conv.mk_sub(f, num, args, result); return BR_DONE; case OP_FPA_NEG: m_conv.mk_neg(f, num, args, result); return BR_DONE; case OP_FPA_MUL: m_conv.mk_mul(f, num, args, result); return BR_DONE; case OP_FPA_DIV: m_conv.mk_div(f, num, args, result); return BR_DONE; case OP_FPA_REM: m_conv.mk_rem(f, num, args, result); return BR_DONE; case OP_FPA_ABS: m_conv.mk_abs(f, num, args, result); return BR_DONE; case OP_FPA_MIN: m_conv.mk_min(f, num, args, result); return BR_DONE; case OP_FPA_MAX: m_conv.mk_max(f, num, args, result); return BR_DONE; case OP_FPA_FMA: m_conv.mk_fma(f, num, args, result); return BR_DONE; case OP_FPA_SQRT: m_conv.mk_sqrt(f, num, args, result); return BR_DONE; case OP_FPA_ROUND_TO_INTEGRAL: m_conv.mk_round_to_integral(f, num, args, result); return BR_DONE; case OP_FPA_EQ: m_conv.mk_float_eq(f, num, args, result); return BR_DONE; case OP_FPA_LT: m_conv.mk_float_lt(f, num, args, result); return BR_DONE; case OP_FPA_GT: m_conv.mk_float_gt(f, num, args, result); return BR_DONE; case OP_FPA_LE: m_conv.mk_float_le(f, num, args, result); return BR_DONE; case OP_FPA_GE: m_conv.mk_float_ge(f, num, args, result); return BR_DONE; case OP_FPA_IS_ZERO: m_conv.mk_is_zero(f, num, args, result); return BR_DONE; case OP_FPA_IS_NAN: m_conv.mk_is_nan(f, num, args, result); return BR_DONE; case OP_FPA_IS_INF: m_conv.mk_is_inf(f, num, args, result); return BR_DONE; case OP_FPA_IS_NORMAL: m_conv.mk_is_normal(f, num, args, result); return BR_DONE; case OP_FPA_IS_SUBNORMAL: m_conv.mk_is_subnormal(f, num, args, result); return BR_DONE; case OP_FPA_IS_POSITIVE: m_conv.mk_is_positive(f, num, args, result); return BR_DONE; case OP_FPA_IS_NEGATIVE: m_conv.mk_is_negative(f, num, args, result); return BR_DONE; case OP_FPA_TO_FP: m_conv.mk_to_fp(f, num, args, result); return BR_DONE; case OP_FPA_TO_FP_UNSIGNED: m_conv.mk_to_fp_unsigned(f, num, args, result); return BR_DONE; case OP_FPA_FP: m_conv.mk_fp(f, num, args, result); return BR_DONE; case OP_FPA_TO_UBV: m_conv.mk_to_ubv(f, num, args, result); return BR_DONE; case OP_FPA_TO_SBV: m_conv.mk_to_sbv(f, num, args, result); return BR_DONE; case OP_FPA_TO_REAL: m_conv.mk_to_real(f, num, args, result); return BR_DONE; case OP_FPA_TO_IEEE_BV: m_conv.mk_to_ieee_bv(f, num, args, result); return BR_DONE; case OP_FPA_BVWRAP: case OP_FPA_BV2RM: return BR_FAILED; 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;); NOT_IMPLEMENTED_YET(); } } else { SASSERT(!m_conv.is_float_family(f)); if (m_conv.fu().contains_floats(f)) { m_conv.mk_uf(f, num, args, result); return BR_DONE; } } return BR_FAILED; } bool fpa2bv_rewriter_cfg::pre_visit(expr * t) { TRACE("fpa2bv", tout << "pre_visit: " << mk_ismt2_pp(t, m()) << std::endl;); if (is_quantifier(t)) { quantifier * q = to_quantifier(t); TRACE("fpa2bv", tout << "pre_visit quantifier [" << q->get_id() << "]: " << mk_ismt2_pp(q->get_expr(), m()) << std::endl;); sort_ref_vector new_bindings(m_manager); for (unsigned i = 0 ; i < q->get_num_decls(); i++) new_bindings.push_back(q->get_decl_sort(i)); SASSERT(new_bindings.size() == q->get_num_decls()); m_bindings.append(new_bindings); } return true; } bool fpa2bv_rewriter_cfg::reduce_quantifier( quantifier * old_q, expr * new_body, expr * const * new_patterns, expr * const * new_no_patterns, expr_ref & result, proof_ref & result_pr) { if (is_lambda(old_q)) { return false; } unsigned curr_sz = m_bindings.size(); SASSERT(old_q->get_num_decls() <= curr_sz); unsigned num_decls = old_q->get_num_decls(); unsigned old_sz = curr_sz - num_decls; string_buffer<> name_buffer; ptr_buffer new_decl_sorts; sbuffer new_decl_names; for (unsigned i = 0; i < num_decls; i++) { symbol const & n = old_q->get_decl_name(i); sort * s = old_q->get_decl_sort(i); if (m_conv.is_float(s)) { unsigned ebits = m_conv.fu().get_ebits(s); unsigned sbits = m_conv.fu().get_sbits(s); name_buffer.reset(); name_buffer << n << ".bv"; new_decl_names.push_back(symbol(name_buffer.c_str())); new_decl_sorts.push_back(m_conv.bu().mk_sort(sbits+ebits)); } else if (m_conv.is_rm(s)) { name_buffer.reset(); name_buffer << n << ".bv"; new_decl_names.push_back(symbol(name_buffer.c_str())); new_decl_sorts.push_back(m_conv.bu().mk_sort(3)); } else { new_decl_sorts.push_back(s); new_decl_names.push_back(n); } } result = m().mk_quantifier(old_q->get_kind(), new_decl_sorts.size(), new_decl_sorts.data(), new_decl_names.data(), new_body, old_q->get_weight(), old_q->get_qid(), old_q->get_skid(), old_q->get_num_patterns(), new_patterns, old_q->get_num_no_patterns(), new_no_patterns); result_pr = nullptr; if (m().proofs_enabled()) { result_pr = m().mk_rewrite(old_q, result); } m_bindings.shrink(old_sz); TRACE("fpa2bv", tout << "reduce_quantifier[" << old_q->get_depth() << "]: " << mk_ismt2_pp(old_q->get_expr(), m()) << std::endl << " new body: " << mk_ismt2_pp(new_body, m()) << std::endl; tout << "result = " << mk_ismt2_pp(result, m()) << std::endl;); return true; } bool fpa2bv_rewriter_cfg::reduce_var(var * t, expr_ref & result, proof_ref & result_pr) { if (t->get_idx() >= m_bindings.size()) return false; // unsigned inx = m_bindings.size() - t->get_idx() - 1; expr_ref new_exp(m()); sort * s = t->get_sort(); if (m_conv.is_float(s)) { expr_ref new_var(m()); unsigned ebits = m_conv.fu().get_ebits(s); unsigned sbits = m_conv.fu().get_sbits(s); new_var = m().mk_var(t->get_idx(), m_conv.bu().mk_sort(sbits+ebits)); new_exp = m_conv.fu().mk_fp(m_conv.bu().mk_extract(sbits+ebits-1, sbits+ebits-1, new_var), m_conv.bu().mk_extract(ebits - 1, 0, new_var), m_conv.bu().mk_extract(sbits+ebits-2, ebits, new_var)); } else if (m_conv.is_rm(s)) { expr_ref new_var(m()); new_var = m().mk_var(t->get_idx(), m_conv.bu().mk_sort(3)); new_exp = m_conv.fu().mk_bv2rm(new_var); } else new_exp = m().mk_var(t->get_idx(), s); result = new_exp; result_pr = nullptr; TRACE("fpa2bv", tout << "reduce_var: " << mk_ismt2_pp(t, m()) << " -> " << mk_ismt2_pp(result, m()) << std::endl;); return true; } template class rewriter_tpl; expr_ref fpa2bv_rewriter::convert_atom(th_rewriter& rw, expr * e) { TRACE("t_fpa_detail", tout << "converting atom: " << mk_ismt2_pp(e, m_cfg.m()) << std::endl;); expr_ref res(m_cfg.m()); proof_ref pr(m_cfg.m()); (*this)(e, res); rw(res, res); SASSERT(is_app(res)); SASSERT(m_cfg.m().is_bool(res)); return res; } expr_ref fpa2bv_rewriter::convert_term(th_rewriter& rw, expr * e) { SASSERT(fu().is_rm(e) || fu().is_float(e)); ast_manager& m = m_cfg.m(); expr_ref e_conv(m), res(m); proof_ref pr(m); (*this)(e, e_conv); TRACE("t_fpa_detail", tout << "term: " << mk_ismt2_pp(e, m) << std::endl; tout << "converted term: " << mk_ismt2_pp(e_conv, m) << std::endl;); if (fu().is_rm(e)) { SASSERT(fu().is_bv2rm(e_conv)); expr_ref bv_rm(m); rw(to_app(e_conv)->get_arg(0), bv_rm); res = fu().mk_bv2rm(bv_rm); } else if (fu().is_float(e)) { SASSERT(fu().is_fp(e_conv)); expr_ref sgn(m), sig(m), exp(m); m_cfg.m_conv.split_fp(e_conv, sgn, exp, sig); rw(sgn); rw(exp); rw(sig); res = fu().mk_fp(sgn, exp, sig); } else UNREACHABLE(); return res; } expr_ref fpa2bv_rewriter::convert_conversion_term(th_rewriter& rw, expr * e) { SASSERT(to_app(e)->get_family_id() == fu().get_family_id()); /* This is for the conversion functions fp.to_* */ expr_ref res(m_cfg.m()); (*this)(e, res); rw(res, res); return res; } expr_ref fpa2bv_rewriter::convert(th_rewriter& rw, expr * e) { ast_manager& m = m_cfg.m(); expr_ref res(m); TRACE("t_fpa", tout << "converting " << mk_ismt2_pp(e, m) << std::endl;); if (fu().is_fp(e)) res = e; else if (m.is_bool(e)) res = convert_atom(rw, e); else if (fu().is_float(e) || fu().is_rm(e)) res = convert_term(rw, e); else res = convert_conversion_term(rw, e); TRACE("t_fpa_detail", tout << "converted; caching:" << std::endl; tout << mk_ismt2_pp(e, m) << std::endl << " -> " << std::endl << mk_ismt2_pp(res, m) << std::endl;); return res; }