/*++ Copyright (c) 2012 Microsoft Corporation Module Name: fpa2bv_converter.h Abstract: Conversion routines for Floating Point -> Bit-Vector Author: Christoph (cwinter) 2012-02-09 Notes: --*/ #pragma once #include "ast/ast.h" #include "util/obj_hashtable.h" #include "util/ref_util.h" #include "ast/fpa_decl_plugin.h" #include "ast/bv_decl_plugin.h" #include "ast/array_decl_plugin.h" #include "ast/datatype_decl_plugin.h" #include "ast/dl_decl_plugin.h" #include "ast/pb_decl_plugin.h" #include "ast/seq_decl_plugin.h" #include "ast/rewriter/bool_rewriter.h" #include "ast/rewriter/th_rewriter.h" class fpa2bv_converter { public: typedef obj_map > special_t; typedef obj_map const2bv_t; typedef obj_map uf2bvuf_t; protected: ast_manager & m; bool_rewriter m_simp; bv_util m_bv_util; arith_util m_arith_util; datatype_util m_dt_util; seq_util m_seq_util; fpa_util m_util; mpf_manager & m_mpf_manager; unsynch_mpz_manager & m_mpz_manager; fpa_decl_plugin * m_plugin; bool m_hi_fp_unspecified; const2bv_t m_const2bv; const2bv_t m_rm_const2bv; uf2bvuf_t m_uf2bvuf; special_t m_min_max_ufs; friend class fpa2bv_model_converter; friend class bv2fpa_converter; public: fpa2bv_converter(ast_manager & m); virtual ~fpa2bv_converter(); fpa_util & fu() { return m_util; } bv_util & bu() { return m_bv_util; } arith_util & au() { return m_arith_util; } bool is_float(sort * s) { return m_util.is_float(s); } bool is_float(expr * e) { return is_app(e) && m_util.is_float(to_app(e)->get_decl()->get_range()); } bool is_rm(expr * e) { return is_app(e) && m_util.is_rm(e); } bool is_rm(sort * s) { return m_util.is_rm(s); } bool is_float_family(func_decl * f) { return f->get_family_id() == m_util.get_family_id(); } void mk_fp(func_decl * f, unsigned num, expr * const * args, expr_ref & result); // void split_fp(expr * e, expr * & sgn, expr * & exp, expr * & sig) const; void split_fp(expr * e, expr_ref & sgn, expr_ref & exp, expr_ref & sig) const; void join_fp(expr * e, expr_ref & res); void mk_eq(expr * a, expr * b, expr_ref & result); void mk_ite(expr * c, expr * t, expr * f, expr_ref & result); void mk_distinct(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_rounding_mode(decl_kind k, expr_ref & result); void mk_numeral(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_numeral(sort * s, mpf const & v, expr_ref & result); virtual void mk_const(func_decl * f, expr_ref & result); virtual void mk_rm_const(func_decl * f, expr_ref & result); virtual void mk_uf(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_var(unsigned base_inx, sort * srt, expr_ref & result); void mk_pinf(func_decl * f, expr_ref & result); void mk_ninf(func_decl * f, expr_ref & result); void mk_nan(func_decl * f, expr_ref & result); void mk_nzero(func_decl *f, expr_ref & result); void mk_pzero(func_decl *f, expr_ref & result); void mk_add(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_sub(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_neg(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_mul(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_div(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_rem(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_abs(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_fma(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_sqrt(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_round_to_integral(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_abs(sort * s, expr_ref & x, expr_ref & result); void mk_float_eq(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_float_lt(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_float_gt(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_float_le(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_float_ge(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_float_eq(sort * s, expr_ref & x, expr_ref & y, expr_ref & result); void mk_float_lt(sort * s, expr_ref & x, expr_ref & y, expr_ref & result); void mk_float_gt(sort *, expr_ref & x, expr_ref & y, expr_ref & result); void mk_float_le(sort * s, expr_ref & x, expr_ref & y, expr_ref & result); void mk_float_ge(sort * s, expr_ref & x, expr_ref & y, expr_ref & result); void mk_is_zero(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_nzero(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_pzero(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_negative(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_positive(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_nan(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_inf(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_normal(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_is_subnormal(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_fp(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_fp_float(func_decl * f, sort * s, expr * rm, expr * x, expr_ref & result); void mk_to_fp_signed(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_fp_unsigned(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_ieee_bv(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_ieee_bv_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_ieee_bv_i(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_fp_real(func_decl * f, sort * s, expr * rm, expr * x, expr_ref & result); void mk_to_fp_real_int(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_ubv(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_sbv(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_ubv_i(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_sbv_i(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_bv_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_real(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_real_i(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_to_real_unspecified(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void set_unspecified_fp_hi(bool v) { m_hi_fp_unspecified = v; } void mk_min(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_max(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_min_i(func_decl * f, unsigned num, expr * const * args, expr_ref & result); void mk_max_i(func_decl * f, unsigned num, expr * const * args, expr_ref & result); expr_ref mk_min_max_unspecified(func_decl * f, expr * x, expr * y); void reset(); void dbg_decouple(const char * prefix, expr_ref & e); expr_ref_vector m_extra_assertions; special_t const & get_min_max_specials() const { return m_min_max_ufs; }; const2bv_t const & get_const2bv() const { return m_const2bv; }; const2bv_t const & get_rm_const2bv() const { return m_rm_const2bv; }; uf2bvuf_t const & get_uf2bvuf() const { return m_uf2bvuf; }; protected: void mk_one(func_decl *f, expr_ref & sign, expr_ref & result); void mk_is_nan(expr * e, expr_ref & result); void mk_is_inf(expr * e, expr_ref & result); void mk_is_pinf(expr * e, expr_ref & result); void mk_is_ninf(expr * e, expr_ref & result); void mk_is_pos(expr * e, expr_ref & result); void mk_is_neg(expr * e, expr_ref & result); void mk_is_zero(expr * e, expr_ref & result); void mk_is_nzero(expr * e, expr_ref & result); void mk_is_pzero(expr * e, expr_ref & result); void mk_is_denormal(expr * e, expr_ref & result); void mk_is_normal(expr * e, expr_ref & result); void mk_is_rm(expr * e, BV_RM_VAL rm, expr_ref & result); void mk_top_exp(unsigned sz, expr_ref & result); void mk_bot_exp(unsigned sz, expr_ref & result); void mk_min_exp(unsigned ebits, expr_ref & result); void mk_max_exp(unsigned ebits, expr_ref & result); void mk_leading_zeros(expr * e, unsigned max_bits, expr_ref & result); void mk_bias(expr * e, expr_ref & result); void mk_unbias(expr * e, expr_ref & result); void unpack(expr * e, expr_ref & sgn, expr_ref & sig, expr_ref & exp, expr_ref & lz, bool normalize); void round(sort * s, expr_ref & rm, expr_ref & sgn, expr_ref & sig, expr_ref & exp, expr_ref & result); expr_ref mk_rounding_decision(expr * rm, expr * sgn, expr * last, expr * round, expr * sticky); void add_core(unsigned sbits, unsigned ebits, expr_ref & c_sgn, expr_ref & c_sig, expr_ref & c_exp, expr_ref & d_sgn, expr_ref & d_sig, expr_ref & d_exp, expr_ref & res_sgn, expr_ref & res_sig, expr_ref & res_exp); app * mk_fresh_const(char const * prefix, unsigned sz); void mk_to_bv(func_decl * f, unsigned num, expr * const * args, bool is_signed, expr_ref & result); private: void mk_nan(sort * s, expr_ref & result); void mk_nzero(sort * s, expr_ref & result); void mk_pzero(sort * s, expr_ref & result); void mk_zero(sort * s, expr_ref & sgn, expr_ref & result); void mk_ninf(sort * s, expr_ref & result); void mk_pinf(sort * s, expr_ref & result); void mk_one(sort * s, expr_ref & sign, expr_ref & result); void mk_neg(sort * s, expr_ref & x, expr_ref & result); void mk_add(sort * s, expr_ref & bv_rm, expr_ref & x, expr_ref & y, expr_ref & result); void mk_sub(sort * s, expr_ref & bv_rm, expr_ref & x, expr_ref & y, expr_ref & result); void mk_mul(sort * s, expr_ref & bv_rm, expr_ref & x, expr_ref & y, expr_ref & result); void mk_div(sort * s, expr_ref & bv_rm, expr_ref & x, expr_ref & y, expr_ref & result); void mk_rem(sort * s, expr_ref & x, expr_ref & y, expr_ref & result); void mk_round_to_integral(sort * s, expr_ref & rm, expr_ref & x, expr_ref & result); void mk_to_fp_float(sort * s, expr * rm, expr * x, expr_ref & result); func_decl * mk_bv_uf(func_decl * f, sort * const * domain, sort * range); expr_ref nan_wrap(expr * n); expr_ref extra_quantify(expr * e); }; class fpa2bv_converter_wrapped : public fpa2bv_converter { th_rewriter& m_rw; public: fpa2bv_converter_wrapped(ast_manager & m, th_rewriter& rw) : fpa2bv_converter(m), m_rw(rw) {} ~fpa2bv_converter_wrapped() override {} void mk_const(func_decl * f, expr_ref & result) override; void mk_rm_const(func_decl * f, expr_ref & result) override; app_ref wrap(expr * e); app_ref unwrap(expr * e, sort * s); expr* bv2rm_value(expr* b); expr* bv2fpa_value(sort* s, expr* a, expr* b = nullptr, expr* c = nullptr); };