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/*++
Copyright (c) 2017 Microsoft Corporation, Simon Cruanes

Module Name:

    recfun_decl_plugin.h

Abstract:

    Declaration and definition of (potentially recursive) functions

Author:

    Simon Cruanes 2017-11

Revision History:

--*/

#pragma once

#include "ast/ast.h"
#include "ast/ast_pp.h"
#include "ast/ast_translation.h"
#include "util/obj_hashtable.h"

namespace recfun {
    class case_def;    // cases;

        ast_manager &       m;
        symbol              m_name; // def_map;
            typedef obj_map case_def_map;
            

            mutable scoped_ptr m_util;
            def_map                  m_defs;       // function->def
            case_def_map             m_case_defs;  // case_pred->def
            bool                     m_has_rec_defs = false;
            
            ast_manager & m() { return *m_manager; }

            void compute_scores(expr* e, obj_map& scores);

        public:
            plugin();
            ~plugin() override;
            void finalize() override;

            util & u() const; // build or return util

            bool is_fully_interp(sort * s) const override { return false; } // might depend on unin sorts
        
            decl_plugin * mk_fresh() override { return alloc(plugin); }
        
            sort * mk_sort(decl_kind k, unsigned num_parameters, parameter const * parameters) override { 
                UNREACHABLE(); return nullptr; 
            }
        
            func_decl * mk_func_decl(decl_kind k, unsigned num_parameters, parameter const * parameters, 
                                     unsigned arity, sort * const * domain, sort * range) override;

            void get_op_names(svector & op_names, symbol const & logic) override;
            
            promise_def mk_def(symbol const& name, unsigned n, sort *const * params, sort * range, bool is_generated);

            promise_def ensure_def(symbol const& name, unsigned n, sort *const * params, sort * range, bool is_generated);
            
            void set_definition(replace& r, promise_def & d, bool is_macro, unsigned n_vars, var * const * vars, expr * rhs);
            
            def* mk_def(replace& subst, bool is_macro, symbol const& name, unsigned n, sort ** params, sort * range, unsigned n_vars, var ** vars, expr * rhs);

            void erase_def(func_decl* f);

            bool has_def(func_decl* f) const { return m_defs.contains(f); }
            bool has_defs() const;
            bool has_rec_defs() const { return m_has_rec_defs; }
            def const& get_def(func_decl* f) const { return *(m_defs[f]); }
            promise_def get_promise_def(func_decl* f) const { return promise_def(&u(), m_defs[f]); }
            def& get_def(func_decl* f) { return *(m_defs[f]); }
            bool has_case_def(func_decl* f) const { return m_case_defs.contains(f); }            
            case_def& get_case_def(func_decl* f) { SASSERT(has_case_def(f)); return *(m_case_defs[f]); }
            bool is_defined(func_decl* f) {return has_case_def(f) && !get_def(f).get_cases().empty(); }

            func_decl_ref_vector get_rec_funs() {
                func_decl_ref_vector result(m());
                for (auto& kv : m_defs) result.push_back(kv.m_key);
                return result;
            }

            expr_ref redirect_ite(replace& subst, unsigned n, var * const* vars, expr * e);

            void inherit(decl_plugin* other, ast_translation& tr) override;

        };
    }

    // Various utils for recursive functions
    class util {
        friend class decl::plugin;
        
        ast_manager &           m_manager;
        family_id               m_fid;
        decl::plugin *          m_plugin;

        bool compute_is_immediate(expr * rhs);
        void set_definition(replace& r, promise_def & d, bool is_macro, unsigned n_vars, var * const * vars, expr * rhs);

    public:
        util(ast_manager &m);
        ~util();

        ast_manager & m() { return m_manager; }
        family_id get_family_id() const { return m_fid; }
        decl::plugin& get_plugin() { return *m_plugin; }

        bool is_case_pred(expr * e) const { return is_app_of(e, m_fid, OP_FUN_CASE_PRED); }
        bool is_defined(expr * e) const { return is_app_of(e, m_fid, OP_FUN_DEFINED); }
        bool is_defined(func_decl* f) const { return is_decl_of(f, m_fid, OP_FUN_DEFINED); }
        bool is_generated(func_decl* f) const { return is_defined(f) && f->get_parameter(0).get_int() == 1; }
        bool is_macro(func_decl* f) { return is_defined(f) && get_def(f).is_macro(); }
        bool is_num_rounds(expr * e) const { return is_app_of(e, m_fid, OP_NUM_ROUNDS); }
        bool owns_app(app * e) const { return e->get_family_id() == m_fid; }

        //has_defs(); }

        bool has_rec_defs() const { return m_plugin->has_rec_defs(); }

        //has_def(f);
        }

        def& get_def(func_decl* f) {
            SASSERT(has_def(f));
            return m_plugin->get_def(f);
        }

        case_def& get_case_def(expr* e) {
            SASSERT(is_case_pred(e));
            return m_plugin->get_case_def(to_app(e)->get_decl());
        }

        app* mk_fun_defined(def const & d, unsigned n_args, expr * const * args) {
            return m().mk_app(d.get_decl(), n_args, args);
        }

        app* mk_fun_defined(def const & d, ptr_vector const & args) {
            return mk_fun_defined(d, args.size(), args.data());
        }

        app* mk_fun_defined(def const & d, expr_ref_vector const & args) {
            return mk_fun_defined(d, args.size(), args.data());
        }

        func_decl_ref_vector get_rec_funs() {
            return m_plugin->get_rec_funs();
        }

        app_ref mk_num_rounds_pred(unsigned d);

    };

    
    // one case-expansion of `f(t1...tn)`
    struct case_expansion {
        app_ref             m_lhs; // the term to expand
        recfun::def *       m_def;
        expr_ref_vector     m_args;
        case_expansion(recfun::util& u, app * n);
        std::ostream& display(std::ostream& out) const;
    };

    inline std::ostream& operator<<(std::ostream& out, case_expansion const & e) {
        return e.display(out);
    }

    // one body-expansion of `f(t1...tn)` using a `C_f_i(t1...tn)`
    struct body_expansion {
        app_ref                  m_pred;
        recfun::case_def const * m_cdef;
        expr_ref_vector          m_args;
        
        body_expansion(recfun::util& u, app * n) : 
            m_pred(n, u.m()), m_cdef(nullptr), m_args(u.m()) {
            m_cdef = &u.get_case_def(n);
            m_args.append(n->get_num_args(), n->get_args());
        }
        body_expansion(app_ref & pred, recfun::case_def const & d, expr_ref_vector & args) : 
            m_pred(pred), m_cdef(&d), m_args(args) {}

        std::ostream& display(std::ostream& out) const;
    };

    inline std::ostream& operator<<(std::ostream& out, body_expansion const& e) {
        return e.display(out);
    }

    struct propagation_item {
        case_expansion*            m_case { nullptr };
        body_expansion*            m_body { nullptr };
        expr_ref_vector*           m_core { nullptr };
        expr*                      m_guard { nullptr };
        
        ~propagation_item() {
            dealloc(m_case);
            dealloc(m_body);
            dealloc(m_core);
        }
        
        propagation_item(expr* guard):
            m_guard(guard) {}
        
        propagation_item(expr_ref_vector const& core):
            m_core(alloc(expr_ref_vector, core)) {
        }

        propagation_item(body_expansion* b):
            m_body(b) {}
        
        propagation_item(case_expansion* c):
            m_case(c) {}
        
        bool is_guard() const { return m_guard != nullptr; }
        bool is_core() const { return m_core != nullptr; }
        bool is_case() const { return m_case != nullptr; }
        bool is_body() const { return m_body != nullptr; }            

        expr_ref_vector const& core() const { SASSERT(is_core()); return *m_core; }
        body_expansion & body() const { SASSERT(is_body()); return *m_body; }
        case_expansion & case_ex() const { SASSERT(is_case()); return *m_case; }
        expr* guard() const { SASSERT(is_guard()); return m_guard; }
    };

}






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